From 97f3f64efb3c5e658a059874061787447344e46a Mon Sep 17 00:00:00 2001
From: Roger Labbe <rlabbejr@gmail.com>
Date: Mon, 12 Sep 2016 20:04:53 -0700
Subject: [PATCH] Fixed plots to work in PDF

The interactive plots do not display in the generated PDF. I have
fixed this so we can generate the PDF again.
---
 02-Discrete-Bayes.ipynb | 13274 +-------------------------------------
 1 file changed, 138 insertions(+), 13136 deletions(-)

diff --git a/02-Discrete-Bayes.ipynb b/02-Discrete-Bayes.ipynb
index 2109cbe..69d064b 100644
--- a/02-Discrete-Bayes.ipynb
+++ b/02-Discrete-Bayes.ipynb
@@ -296,7 +296,7 @@
    ],
    "source": [
     "#format the book\n",
-    "%matplotlib notebook\n",
+    "%matplotlib inline\n",
     "from __future__ import division, print_function\n",
     "from book_format import load_style\n",
     "load_style()"
@@ -349,7 +349,7 @@
    ],
    "source": [
     "import numpy as np\n",
-    "belief = np.array([1/10]*10)\n",
+    "belief = np.array([1./10]*10)\n",
     "print(belief)"
    ]
   },
@@ -397,775 +397,9 @@
    "outputs": [
     {
      "data": {
-      "application/javascript": [
-       "/* Put everything inside the global mpl namespace */\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('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",
-       "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 = $('<div/>');\n",
-       "    this._root_extra_style(this.root)\n",
-       "    this.root.attr('style', 'display: inline-block');\n",
-       "\n",
-       "    $(parent_element).append(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",
-       "            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",
-       "        this.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 = $(\n",
-       "        '<div class=\"ui-dialog-titlebar ui-widget-header ui-corner-all ' +\n",
-       "        'ui-helper-clearfix\"/>');\n",
-       "    var titletext = $(\n",
-       "        '<div class=\"ui-dialog-title\" style=\"width: 100%; ' +\n",
-       "        'text-align: center; padding: 3px;\"/>');\n",
-       "    titlebar.append(titletext)\n",
-       "    this.root.append(titlebar);\n",
-       "    this.header = titletext[0];\n",
-       "}\n",
-       "\n",
-       "\n",
-       "\n",
-       "mpl.figure.prototype._canvas_extra_style = function(canvas_div) {\n",
-       "\n",
-       "}\n",
-       "\n",
-       "\n",
-       "mpl.figure.prototype._root_extra_style = function(canvas_div) {\n",
-       "\n",
-       "}\n",
-       "\n",
-       "mpl.figure.prototype._init_canvas = function() {\n",
-       "    var fig = this;\n",
-       "\n",
-       "    var canvas_div = $('<div/>');\n",
-       "\n",
-       "    canvas_div.attr('style', 'position: relative; clear: both; outline: 0');\n",
-       "\n",
-       "    function canvas_keyboard_event(event) {\n",
-       "        return fig.key_event(event, event['data']);\n",
-       "    }\n",
-       "\n",
-       "    canvas_div.keydown('key_press', canvas_keyboard_event);\n",
-       "    canvas_div.keyup('key_release', canvas_keyboard_event);\n",
-       "    this.canvas_div = canvas_div\n",
-       "    this._canvas_extra_style(canvas_div)\n",
-       "    this.root.append(canvas_div);\n",
-       "\n",
-       "    var canvas = $('<canvas/>');\n",
-       "    canvas.addClass('mpl-canvas');\n",
-       "    canvas.attr('style', \"left: 0; top: 0; z-index: 0; outline: 0\")\n",
-       "\n",
-       "    this.canvas = canvas[0];\n",
-       "    this.context = canvas[0].getContext(\"2d\");\n",
-       "\n",
-       "    var rubberband = $('<canvas/>');\n",
-       "    rubberband.attr('style', \"position: absolute; left: 0; top: 0; z-index: 1;\")\n",
-       "\n",
-       "    var pass_mouse_events = true;\n",
-       "\n",
-       "    canvas_div.resizable({\n",
-       "        start: function(event, ui) {\n",
-       "            pass_mouse_events = false;\n",
-       "        },\n",
-       "        resize: function(event, ui) {\n",
-       "            fig.request_resize(ui.size.width, ui.size.height);\n",
-       "        },\n",
-       "        stop: function(event, ui) {\n",
-       "            pass_mouse_events = true;\n",
-       "            fig.request_resize(ui.size.width, ui.size.height);\n",
-       "        },\n",
-       "    });\n",
-       "\n",
-       "    function mouse_event_fn(event) {\n",
-       "        if (pass_mouse_events)\n",
-       "            return fig.mouse_event(event, event['data']);\n",
-       "    }\n",
-       "\n",
-       "    rubberband.mousedown('button_press', mouse_event_fn);\n",
-       "    rubberband.mouseup('button_release', mouse_event_fn);\n",
-       "    // Throttle sequential mouse events to 1 every 20ms.\n",
-       "    rubberband.mousemove('motion_notify', mouse_event_fn);\n",
-       "\n",
-       "    rubberband.mouseenter('figure_enter', mouse_event_fn);\n",
-       "    rubberband.mouseleave('figure_leave', mouse_event_fn);\n",
-       "\n",
-       "    canvas_div.on(\"wheel\", function (event) {\n",
-       "        event = event.originalEvent;\n",
-       "        event['data'] = 'scroll'\n",
-       "        if (event.deltaY < 0) {\n",
-       "            event.step = 1;\n",
-       "        } else {\n",
-       "            event.step = -1;\n",
-       "        }\n",
-       "        mouse_event_fn(event);\n",
-       "    });\n",
-       "\n",
-       "    canvas_div.append(canvas);\n",
-       "    canvas_div.append(rubberband);\n",
-       "\n",
-       "    this.rubberband = rubberband;\n",
-       "    this.rubberband_canvas = rubberband[0];\n",
-       "    this.rubberband_context = rubberband[0].getContext(\"2d\");\n",
-       "    this.rubberband_context.strokeStyle = \"#000000\";\n",
-       "\n",
-       "    this._resize_canvas = function(width, height) {\n",
-       "        // Keep the size of the canvas, canvas container, and rubber band\n",
-       "        // canvas in synch.\n",
-       "        canvas_div.css('width', width)\n",
-       "        canvas_div.css('height', height)\n",
-       "\n",
-       "        canvas.attr('width', width);\n",
-       "        canvas.attr('height', height);\n",
-       "\n",
-       "        rubberband.attr('width', width);\n",
-       "        rubberband.attr('height', height);\n",
-       "    }\n",
-       "\n",
-       "    // Set the figure to an initial 600x600px, this will subsequently be updated\n",
-       "    // upon first draw.\n",
-       "    this._resize_canvas(600, 600);\n",
-       "\n",
-       "    // Disable right mouse context menu.\n",
-       "    $(this.rubberband_canvas).bind(\"contextmenu\",function(e){\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 nav_element = $('<div/>')\n",
-       "    nav_element.attr('style', 'width: 100%');\n",
-       "    this.root.append(nav_element);\n",
-       "\n",
-       "    // Define a callback function for later on.\n",
-       "    function toolbar_event(event) {\n",
-       "        return fig.toolbar_button_onclick(event['data']);\n",
-       "    }\n",
-       "    function toolbar_mouse_event(event) {\n",
-       "        return fig.toolbar_button_onmouseover(event['data']);\n",
-       "    }\n",
-       "\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",
-       "            // put a spacer in here.\n",
-       "            continue;\n",
-       "        }\n",
-       "        var button = $('<button/>');\n",
-       "        button.addClass('ui-button ui-widget ui-state-default ui-corner-all ' +\n",
-       "                        'ui-button-icon-only');\n",
-       "        button.attr('role', 'button');\n",
-       "        button.attr('aria-disabled', 'false');\n",
-       "        button.click(method_name, toolbar_event);\n",
-       "        button.mouseover(tooltip, toolbar_mouse_event);\n",
-       "\n",
-       "        var icon_img = $('<span/>');\n",
-       "        icon_img.addClass('ui-button-icon-primary ui-icon');\n",
-       "        icon_img.addClass(image);\n",
-       "        icon_img.addClass('ui-corner-all');\n",
-       "\n",
-       "        var tooltip_span = $('<span/>');\n",
-       "        tooltip_span.addClass('ui-button-text');\n",
-       "        tooltip_span.html(tooltip);\n",
-       "\n",
-       "        button.append(icon_img);\n",
-       "        button.append(tooltip_span);\n",
-       "\n",
-       "        nav_element.append(button);\n",
-       "    }\n",
-       "\n",
-       "    var fmt_picker_span = $('<span/>');\n",
-       "\n",
-       "    var fmt_picker = $('<select/>');\n",
-       "    fmt_picker.addClass('mpl-toolbar-option ui-widget ui-widget-content');\n",
-       "    fmt_picker_span.append(fmt_picker);\n",
-       "    nav_element.append(fmt_picker_span);\n",
-       "    this.format_dropdown = fmt_picker[0];\n",
-       "\n",
-       "    for (var ind in mpl.extensions) {\n",
-       "        var fmt = mpl.extensions[ind];\n",
-       "        var option = $(\n",
-       "            '<option/>', {selected: fmt === mpl.default_extension}).html(fmt);\n",
-       "        fmt_picker.append(option)\n",
-       "    }\n",
-       "\n",
-       "    // Add hover states to the ui-buttons\n",
-       "    $( \".ui-button\" ).hover(\n",
-       "        function() { $(this).addClass(\"ui-state-hover\");},\n",
-       "        function() { $(this).removeClass(\"ui-state-hover\");}\n",
-       "    );\n",
-       "\n",
-       "    var status_bar = $('<span class=\"mpl-message\"/>');\n",
-       "    nav_element.append(status_bar);\n",
-       "    this.message = status_bar[0];\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",
-       "\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",
-       "\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]);\n",
-       "        fig.send_message(\"refresh\", {});\n",
-       "    };\n",
-       "}\n",
-       "\n",
-       "mpl.figure.prototype.handle_rubberband = function(fig, msg) {\n",
-       "    var x0 = msg['x0'];\n",
-       "    var y0 = fig.canvas.height - msg['y0'];\n",
-       "    var x1 = msg['x1'];\n",
-       "    var y1 = fig.canvas.height - msg['y1'];\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, 0, fig.canvas.width, fig.canvas.height);\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",
-       "    {\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.updated_canvas_event = function() {\n",
-       "    // Called whenever the canvas gets updated.\n",
-       "    this.send_message(\"ack\", {});\n",
-       "}\n",
-       "\n",
-       "// A function to construct a web socket function for onmessage handling.\n",
-       "// Called in the figure constructor.\n",
-       "mpl.figure.prototype._make_on_message_function = function(fig) {\n",
-       "    return function socket_on_message(evt) {\n",
-       "        if (evt.data instanceof Blob) {\n",
-       "            /* FIXME: We get \"Resource interpreted as Image but\n",
-       "             * transferred with MIME type text/plain:\" errors on\n",
-       "             * Chrome.  But how to set the MIME type?  It doesn't seem\n",
-       "             * to be part of the websocket stream */\n",
-       "            evt.data.type = \"image/png\";\n",
-       "\n",
-       "            /* Free the memory for the previous frames */\n",
-       "            if (fig.imageObj.src) {\n",
-       "                (window.URL || window.webkitURL).revokeObjectURL(\n",
-       "                    fig.imageObj.src);\n",
-       "            }\n",
-       "\n",
-       "            fig.imageObj.src = (window.URL || window.webkitURL).createObjectURL(\n",
-       "                evt.data);\n",
-       "            fig.updated_canvas_event();\n",
-       "            fig.waiting = false;\n",
-       "            return;\n",
-       "        }\n",
-       "        else if (typeof evt.data === 'string' && evt.data.slice(0, 21) == \"data:image/png;base64\") {\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(\"No handler for the '\" + msg_type + \"' message type: \", msg);\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(\"Exception inside the 'handler_\" + msg_type + \"' callback:\", e, e.stack, msg);\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",
-       "    if (e.target)\n",
-       "        targ = e.target;\n",
-       "    else if (e.srcElement)\n",
-       "        targ = e.srcElement;\n",
-       "    if (targ.nodeType == 3) // defeat Safari bug\n",
-       "        targ = targ.parentNode;\n",
-       "\n",
-       "    // jQuery normalizes the pageX and pageY\n",
-       "    // pageX,Y are the mouse positions relative to the document\n",
-       "    // offset() returns the position of the element relative to the document\n",
-       "    var x = e.pageX - $(targ).offset().left;\n",
-       "    var y = e.pageY - $(targ).offset().top;\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",
-       "    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",
-       "    {\n",
-       "        this.canvas.focus();\n",
-       "        this.canvas_div.focus();\n",
-       "    }\n",
-       "\n",
-       "    var x = canvas_pos.x;\n",
-       "    var y = canvas_pos.y;\n",
-       "\n",
-       "    this.send_message(name, {x: x, y: y, button: event.button,\n",
-       "                             step: event.step,\n",
-       "                             guiEvent: simpleKeys(event)});\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",
-       "\n",
-       "    // Prevent repeat events\n",
-       "    if (name == 'key_press')\n",
-       "    {\n",
-       "        if (event.which === this._key)\n",
-       "            return;\n",
-       "        else\n",
-       "            this._key = event.which;\n",
-       "    }\n",
-       "    if (name == 'key_release')\n",
-       "        this._key = null;\n",
-       "\n",
-       "    var value = '';\n",
-       "    if (event.ctrlKey && event.which != 17)\n",
-       "        value += \"ctrl+\";\n",
-       "    if (event.altKey && event.which != 18)\n",
-       "        value += \"alt+\";\n",
-       "    if (event.shiftKey && event.which != 16)\n",
-       "        value += \"shift+\";\n",
-       "\n",
-       "    value += 'k';\n",
-       "    value += event.which.toString();\n",
-       "\n",
-       "    this._key_event_extra(event, name);\n",
-       "\n",
-       "    this.send_message(name, {key: value,\n",
-       "                             guiEvent: simpleKeys(event)});\n",
-       "    return false;\n",
-       "}\n",
-       "\n",
-       "mpl.figure.prototype.toolbar_button_onclick = function(name) {\n",
-       "    if (name == 'download') {\n",
-       "        this.handle_save(this, null);\n",
-       "    } else {\n",
-       "        this.send_message(\"toolbar_button\", {name: name});\n",
-       "    }\n",
-       "};\n",
-       "\n",
-       "mpl.figure.prototype.toolbar_button_onmouseover = function(tooltip) {\n",
-       "    this.message.textContent = tooltip;\n",
-       "};\n",
-       "mpl.toolbar_items = [[\"Home\", \"Reset original view\", \"fa fa-home icon-home\", \"home\"], [\"Back\", \"Back to  previous view\", \"fa fa-arrow-left icon-arrow-left\", \"back\"], [\"Forward\", \"Forward to next view\", \"fa fa-arrow-right icon-arrow-right\", \"forward\"], [\"\", \"\", \"\", \"\"], [\"Pan\", \"Pan axes with left mouse, zoom with right\", \"fa fa-arrows icon-move\", \"pan\"], [\"Zoom\", \"Zoom to rectangle\", \"fa fa-square-o icon-check-empty\", \"zoom\"], [\"\", \"\", \"\", \"\"], [\"Download\", \"Download plot\", \"fa fa-floppy-o icon-save\", \"download\"]];\n",
-       "\n",
-       "mpl.extensions = [\"eps\", \"jpeg\", \"pdf\", \"png\", \"ps\", \"raw\", \"svg\", \"tif\"];\n",
-       "\n",
-       "mpl.default_extension = \"png\";var comm_websocket_adapter = function(comm) {\n",
-       "    // Create a \"websocket\"-like object which calls the given IPython comm\n",
-       "    // object with the appropriate methods. Currently this is a non binary\n",
-       "    // socket, so there is still some room for performance tuning.\n",
-       "    var ws = {};\n",
-       "\n",
-       "    ws.close = function() {\n",
-       "        comm.close()\n",
-       "    };\n",
-       "    ws.send = function(m) {\n",
-       "        //console.log('sending', m);\n",
-       "        comm.send(m);\n",
-       "    };\n",
-       "    // Register the callback with on_msg.\n",
-       "    comm.on_msg(function(msg) {\n",
-       "        //console.log('receiving', msg['content']['data'], msg);\n",
-       "        // Pass the mpl event to the overriden (by mpl) onmessage function.\n",
-       "        ws.onmessage(msg['content']['data'])\n",
-       "    });\n",
-       "    return ws;\n",
-       "}\n",
-       "\n",
-       "mpl.mpl_figure_comm = function(comm, msg) {\n",
-       "    // This is the function which gets called when the mpl process\n",
-       "    // starts-up an IPython Comm through the \"matplotlib\" channel.\n",
-       "\n",
-       "    var id = msg.content.data.id;\n",
-       "    // Get hold of the div created by the display call when the Comm\n",
-       "    // socket was opened in Python.\n",
-       "    var element = $(\"#\" + id);\n",
-       "    var ws_proxy = comm_websocket_adapter(comm)\n",
-       "\n",
-       "    function ondownload(figure, format) {\n",
-       "        window.open(figure.imageObj.src);\n",
-       "    }\n",
-       "\n",
-       "    var fig = new mpl.figure(id, ws_proxy,\n",
-       "                           ondownload,\n",
-       "                           element.get(0));\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.get(0);\n",
-       "    fig.cell_info = mpl.find_output_cell(\"<div id='\" + id + \"'></div>\");\n",
-       "    if (!fig.cell_info) {\n",
-       "        console.error(\"Failed to find cell for figure\", id, fig);\n",
-       "        return;\n",
-       "    }\n",
-       "\n",
-       "    var output_index = fig.cell_info[2]\n",
-       "    var cell = fig.cell_info[0];\n",
-       "\n",
-       "};\n",
-       "\n",
-       "mpl.figure.prototype.handle_close = function(fig, msg) {\n",
-       "    fig.root.unbind('remove')\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).html('<img src=\"' + dataURL + '\">');\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 dataURL = this.canvas.toDataURL();\n",
-       "    this.cell_info[1]['text/html'] = '<img src=\"' + dataURL + '\">';\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 () { fig.push_to_output() }, 1000);\n",
-       "}\n",
-       "\n",
-       "mpl.figure.prototype._init_toolbar = function() {\n",
-       "    var fig = this;\n",
-       "\n",
-       "    var nav_element = $('<div/>')\n",
-       "    nav_element.attr('style', 'width: 100%');\n",
-       "    this.root.append(nav_element);\n",
-       "\n",
-       "    // Define a callback function for later on.\n",
-       "    function toolbar_event(event) {\n",
-       "        return fig.toolbar_button_onclick(event['data']);\n",
-       "    }\n",
-       "    function toolbar_mouse_event(event) {\n",
-       "        return fig.toolbar_button_onmouseover(event['data']);\n",
-       "    }\n",
-       "\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) { continue; };\n",
-       "\n",
-       "        var button = $('<button class=\"btn btn-default\" href=\"#\" title=\"' + name + '\"><i class=\"fa ' + image + ' fa-lg\"></i></button>');\n",
-       "        button.click(method_name, toolbar_event);\n",
-       "        button.mouseover(tooltip, toolbar_mouse_event);\n",
-       "        nav_element.append(button);\n",
-       "    }\n",
-       "\n",
-       "    // Add the status bar.\n",
-       "    var status_bar = $('<span class=\"mpl-message\" style=\"text-align:right; float: right;\"/>');\n",
-       "    nav_element.append(status_bar);\n",
-       "    this.message = status_bar[0];\n",
-       "\n",
-       "    // Add the close button to the window.\n",
-       "    var buttongrp = $('<div class=\"btn-group inline pull-right\"></div>');\n",
-       "    var button = $('<button class=\"btn btn-mini btn-primary\" href=\"#\" title=\"Stop Interaction\"><i class=\"fa fa-power-off icon-remove icon-large\"></i></button>');\n",
-       "    button.click(function (evt) { fig.handle_close(fig, {}); } );\n",
-       "    button.mouseover('Stop Interaction', toolbar_mouse_event);\n",
-       "    buttongrp.append(button);\n",
-       "    var titlebar = this.root.find($('.ui-dialog-titlebar'));\n",
-       "    titlebar.prepend(buttongrp);\n",
-       "}\n",
-       "\n",
-       "mpl.figure.prototype._root_extra_style = function(el){\n",
-       "    var fig = this\n",
-       "    el.on(\"remove\", function(){\n",
-       "\tfig.close_ws(fig, {});\n",
-       "    });\n",
-       "}\n",
-       "\n",
-       "mpl.figure.prototype._canvas_extra_style = function(el){\n",
-       "    // this is important to make the div 'focusable\n",
-       "    el.attr('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",
-       "    }\n",
-       "    else {\n",
-       "        // location in version 2\n",
-       "        IPython.keyboard_manager.register_events(el);\n",
-       "    }\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",
-       "    // Check for shift+enter\n",
-       "    if (event.shiftKey && event.which == 13) {\n",
-       "        this.canvas_div.blur();\n",
-       "        event.shiftKey = false;\n",
-       "        // Send a \"J\" for go to next cell\n",
-       "        event.which = 74;\n",
-       "        event.keyCode = 74;\n",
-       "        manager.command_mode();\n",
-       "        manager.handle_keydown(event);\n",
-       "    }\n",
-       "}\n",
-       "\n",
-       "mpl.figure.prototype.handle_save = function(fig, msg) {\n",
-       "    fig.ondownload(fig, null);\n",
-       "}\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('matplotlib', mpl.mpl_figure_comm);\n",
-       "}\n"
-      ],
+      "image/png": "iVBORw0KGgoAAAANSUhEUgAAAhkAAACSCAYAAADo8ti5AAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\nyQAAAABJRU5ErkJggg==\n",
       "text/plain": [
-       "<IPython.core.display.Javascript object>"
-      ]
-     },
-     "metadata": {},
-     "output_type": "display_data"
-    },
-    {
-     "data": {
-      "text/html": [
-       "<img src=\"data:image/png;base64,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\">"
-      ],
-      "text/plain": [
-       "<IPython.core.display.HTML object>"
+       "<matplotlib.figure.Figure at 0x1cf127e25c0>"
       ]
      },
      "metadata": {},
@@ -1178,10 +412,9 @@
     "from code.book_plots import interactive_plot\n",
     "import matplotlib.pyplot as plt\n",
     "\n",
-    "belief = np.array([1/3, 1/3, 0, 0, 0, 0, 0, 0, 1/3, 0])\n",
+    "belief = np.array([1./3, 1./3, 0, 0, 0, 0, 0, 0, 1/3, 0])\n",
     "set_figsize(y=2)\n",
-    "with interactive_plot():\n",
-    "    bp.bar_plot(belief)"
+    "bp.bar_plot(belief)"
    ]
   },
   {
@@ -1294,775 +527,9 @@
     },
     {
      "data": {
-      "application/javascript": [
-       "/* Put everything inside the global mpl namespace */\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('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",
-       "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 = $('<div/>');\n",
-       "    this._root_extra_style(this.root)\n",
-       "    this.root.attr('style', 'display: inline-block');\n",
-       "\n",
-       "    $(parent_element).append(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",
-       "            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",
-       "        this.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 = $(\n",
-       "        '<div class=\"ui-dialog-titlebar ui-widget-header ui-corner-all ' +\n",
-       "        'ui-helper-clearfix\"/>');\n",
-       "    var titletext = $(\n",
-       "        '<div class=\"ui-dialog-title\" style=\"width: 100%; ' +\n",
-       "        'text-align: center; padding: 3px;\"/>');\n",
-       "    titlebar.append(titletext)\n",
-       "    this.root.append(titlebar);\n",
-       "    this.header = titletext[0];\n",
-       "}\n",
-       "\n",
-       "\n",
-       "\n",
-       "mpl.figure.prototype._canvas_extra_style = function(canvas_div) {\n",
-       "\n",
-       "}\n",
-       "\n",
-       "\n",
-       "mpl.figure.prototype._root_extra_style = function(canvas_div) {\n",
-       "\n",
-       "}\n",
-       "\n",
-       "mpl.figure.prototype._init_canvas = function() {\n",
-       "    var fig = this;\n",
-       "\n",
-       "    var canvas_div = $('<div/>');\n",
-       "\n",
-       "    canvas_div.attr('style', 'position: relative; clear: both; outline: 0');\n",
-       "\n",
-       "    function canvas_keyboard_event(event) {\n",
-       "        return fig.key_event(event, event['data']);\n",
-       "    }\n",
-       "\n",
-       "    canvas_div.keydown('key_press', canvas_keyboard_event);\n",
-       "    canvas_div.keyup('key_release', canvas_keyboard_event);\n",
-       "    this.canvas_div = canvas_div\n",
-       "    this._canvas_extra_style(canvas_div)\n",
-       "    this.root.append(canvas_div);\n",
-       "\n",
-       "    var canvas = $('<canvas/>');\n",
-       "    canvas.addClass('mpl-canvas');\n",
-       "    canvas.attr('style', \"left: 0; top: 0; z-index: 0; outline: 0\")\n",
-       "\n",
-       "    this.canvas = canvas[0];\n",
-       "    this.context = canvas[0].getContext(\"2d\");\n",
-       "\n",
-       "    var rubberband = $('<canvas/>');\n",
-       "    rubberband.attr('style', \"position: absolute; left: 0; top: 0; z-index: 1;\")\n",
-       "\n",
-       "    var pass_mouse_events = true;\n",
-       "\n",
-       "    canvas_div.resizable({\n",
-       "        start: function(event, ui) {\n",
-       "            pass_mouse_events = false;\n",
-       "        },\n",
-       "        resize: function(event, ui) {\n",
-       "            fig.request_resize(ui.size.width, ui.size.height);\n",
-       "        },\n",
-       "        stop: function(event, ui) {\n",
-       "            pass_mouse_events = true;\n",
-       "            fig.request_resize(ui.size.width, ui.size.height);\n",
-       "        },\n",
-       "    });\n",
-       "\n",
-       "    function mouse_event_fn(event) {\n",
-       "        if (pass_mouse_events)\n",
-       "            return fig.mouse_event(event, event['data']);\n",
-       "    }\n",
-       "\n",
-       "    rubberband.mousedown('button_press', mouse_event_fn);\n",
-       "    rubberband.mouseup('button_release', mouse_event_fn);\n",
-       "    // Throttle sequential mouse events to 1 every 20ms.\n",
-       "    rubberband.mousemove('motion_notify', mouse_event_fn);\n",
-       "\n",
-       "    rubberband.mouseenter('figure_enter', mouse_event_fn);\n",
-       "    rubberband.mouseleave('figure_leave', mouse_event_fn);\n",
-       "\n",
-       "    canvas_div.on(\"wheel\", function (event) {\n",
-       "        event = event.originalEvent;\n",
-       "        event['data'] = 'scroll'\n",
-       "        if (event.deltaY < 0) {\n",
-       "            event.step = 1;\n",
-       "        } else {\n",
-       "            event.step = -1;\n",
-       "        }\n",
-       "        mouse_event_fn(event);\n",
-       "    });\n",
-       "\n",
-       "    canvas_div.append(canvas);\n",
-       "    canvas_div.append(rubberband);\n",
-       "\n",
-       "    this.rubberband = rubberband;\n",
-       "    this.rubberband_canvas = rubberband[0];\n",
-       "    this.rubberband_context = rubberband[0].getContext(\"2d\");\n",
-       "    this.rubberband_context.strokeStyle = \"#000000\";\n",
-       "\n",
-       "    this._resize_canvas = function(width, height) {\n",
-       "        // Keep the size of the canvas, canvas container, and rubber band\n",
-       "        // canvas in synch.\n",
-       "        canvas_div.css('width', width)\n",
-       "        canvas_div.css('height', height)\n",
-       "\n",
-       "        canvas.attr('width', width);\n",
-       "        canvas.attr('height', height);\n",
-       "\n",
-       "        rubberband.attr('width', width);\n",
-       "        rubberband.attr('height', height);\n",
-       "    }\n",
-       "\n",
-       "    // Set the figure to an initial 600x600px, this will subsequently be updated\n",
-       "    // upon first draw.\n",
-       "    this._resize_canvas(600, 600);\n",
-       "\n",
-       "    // Disable right mouse context menu.\n",
-       "    $(this.rubberband_canvas).bind(\"contextmenu\",function(e){\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 nav_element = $('<div/>')\n",
-       "    nav_element.attr('style', 'width: 100%');\n",
-       "    this.root.append(nav_element);\n",
-       "\n",
-       "    // Define a callback function for later on.\n",
-       "    function toolbar_event(event) {\n",
-       "        return fig.toolbar_button_onclick(event['data']);\n",
-       "    }\n",
-       "    function toolbar_mouse_event(event) {\n",
-       "        return fig.toolbar_button_onmouseover(event['data']);\n",
-       "    }\n",
-       "\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",
-       "            // put a spacer in here.\n",
-       "            continue;\n",
-       "        }\n",
-       "        var button = $('<button/>');\n",
-       "        button.addClass('ui-button ui-widget ui-state-default ui-corner-all ' +\n",
-       "                        'ui-button-icon-only');\n",
-       "        button.attr('role', 'button');\n",
-       "        button.attr('aria-disabled', 'false');\n",
-       "        button.click(method_name, toolbar_event);\n",
-       "        button.mouseover(tooltip, toolbar_mouse_event);\n",
-       "\n",
-       "        var icon_img = $('<span/>');\n",
-       "        icon_img.addClass('ui-button-icon-primary ui-icon');\n",
-       "        icon_img.addClass(image);\n",
-       "        icon_img.addClass('ui-corner-all');\n",
-       "\n",
-       "        var tooltip_span = $('<span/>');\n",
-       "        tooltip_span.addClass('ui-button-text');\n",
-       "        tooltip_span.html(tooltip);\n",
-       "\n",
-       "        button.append(icon_img);\n",
-       "        button.append(tooltip_span);\n",
-       "\n",
-       "        nav_element.append(button);\n",
-       "    }\n",
-       "\n",
-       "    var fmt_picker_span = $('<span/>');\n",
-       "\n",
-       "    var fmt_picker = $('<select/>');\n",
-       "    fmt_picker.addClass('mpl-toolbar-option ui-widget ui-widget-content');\n",
-       "    fmt_picker_span.append(fmt_picker);\n",
-       "    nav_element.append(fmt_picker_span);\n",
-       "    this.format_dropdown = fmt_picker[0];\n",
-       "\n",
-       "    for (var ind in mpl.extensions) {\n",
-       "        var fmt = mpl.extensions[ind];\n",
-       "        var option = $(\n",
-       "            '<option/>', {selected: fmt === mpl.default_extension}).html(fmt);\n",
-       "        fmt_picker.append(option)\n",
-       "    }\n",
-       "\n",
-       "    // Add hover states to the ui-buttons\n",
-       "    $( \".ui-button\" ).hover(\n",
-       "        function() { $(this).addClass(\"ui-state-hover\");},\n",
-       "        function() { $(this).removeClass(\"ui-state-hover\");}\n",
-       "    );\n",
-       "\n",
-       "    var status_bar = $('<span class=\"mpl-message\"/>');\n",
-       "    nav_element.append(status_bar);\n",
-       "    this.message = status_bar[0];\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",
-       "\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",
-       "\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]);\n",
-       "        fig.send_message(\"refresh\", {});\n",
-       "    };\n",
-       "}\n",
-       "\n",
-       "mpl.figure.prototype.handle_rubberband = function(fig, msg) {\n",
-       "    var x0 = msg['x0'];\n",
-       "    var y0 = fig.canvas.height - msg['y0'];\n",
-       "    var x1 = msg['x1'];\n",
-       "    var y1 = fig.canvas.height - msg['y1'];\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, 0, fig.canvas.width, fig.canvas.height);\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",
-       "    {\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.updated_canvas_event = function() {\n",
-       "    // Called whenever the canvas gets updated.\n",
-       "    this.send_message(\"ack\", {});\n",
-       "}\n",
-       "\n",
-       "// A function to construct a web socket function for onmessage handling.\n",
-       "// Called in the figure constructor.\n",
-       "mpl.figure.prototype._make_on_message_function = function(fig) {\n",
-       "    return function socket_on_message(evt) {\n",
-       "        if (evt.data instanceof Blob) {\n",
-       "            /* FIXME: We get \"Resource interpreted as Image but\n",
-       "             * transferred with MIME type text/plain:\" errors on\n",
-       "             * Chrome.  But how to set the MIME type?  It doesn't seem\n",
-       "             * to be part of the websocket stream */\n",
-       "            evt.data.type = \"image/png\";\n",
-       "\n",
-       "            /* Free the memory for the previous frames */\n",
-       "            if (fig.imageObj.src) {\n",
-       "                (window.URL || window.webkitURL).revokeObjectURL(\n",
-       "                    fig.imageObj.src);\n",
-       "            }\n",
-       "\n",
-       "            fig.imageObj.src = (window.URL || window.webkitURL).createObjectURL(\n",
-       "                evt.data);\n",
-       "            fig.updated_canvas_event();\n",
-       "            fig.waiting = false;\n",
-       "            return;\n",
-       "        }\n",
-       "        else if (typeof evt.data === 'string' && evt.data.slice(0, 21) == \"data:image/png;base64\") {\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(\"No handler for the '\" + msg_type + \"' message type: \", msg);\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(\"Exception inside the 'handler_\" + msg_type + \"' callback:\", e, e.stack, msg);\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",
-       "    if (e.target)\n",
-       "        targ = e.target;\n",
-       "    else if (e.srcElement)\n",
-       "        targ = e.srcElement;\n",
-       "    if (targ.nodeType == 3) // defeat Safari bug\n",
-       "        targ = targ.parentNode;\n",
-       "\n",
-       "    // jQuery normalizes the pageX and pageY\n",
-       "    // pageX,Y are the mouse positions relative to the document\n",
-       "    // offset() returns the position of the element relative to the document\n",
-       "    var x = e.pageX - $(targ).offset().left;\n",
-       "    var y = e.pageY - $(targ).offset().top;\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",
-       "    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",
-       "    {\n",
-       "        this.canvas.focus();\n",
-       "        this.canvas_div.focus();\n",
-       "    }\n",
-       "\n",
-       "    var x = canvas_pos.x;\n",
-       "    var y = canvas_pos.y;\n",
-       "\n",
-       "    this.send_message(name, {x: x, y: y, button: event.button,\n",
-       "                             step: event.step,\n",
-       "                             guiEvent: simpleKeys(event)});\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",
-       "\n",
-       "    // Prevent repeat events\n",
-       "    if (name == 'key_press')\n",
-       "    {\n",
-       "        if (event.which === this._key)\n",
-       "            return;\n",
-       "        else\n",
-       "            this._key = event.which;\n",
-       "    }\n",
-       "    if (name == 'key_release')\n",
-       "        this._key = null;\n",
-       "\n",
-       "    var value = '';\n",
-       "    if (event.ctrlKey && event.which != 17)\n",
-       "        value += \"ctrl+\";\n",
-       "    if (event.altKey && event.which != 18)\n",
-       "        value += \"alt+\";\n",
-       "    if (event.shiftKey && event.which != 16)\n",
-       "        value += \"shift+\";\n",
-       "\n",
-       "    value += 'k';\n",
-       "    value += event.which.toString();\n",
-       "\n",
-       "    this._key_event_extra(event, name);\n",
-       "\n",
-       "    this.send_message(name, {key: value,\n",
-       "                             guiEvent: simpleKeys(event)});\n",
-       "    return false;\n",
-       "}\n",
-       "\n",
-       "mpl.figure.prototype.toolbar_button_onclick = function(name) {\n",
-       "    if (name == 'download') {\n",
-       "        this.handle_save(this, null);\n",
-       "    } else {\n",
-       "        this.send_message(\"toolbar_button\", {name: name});\n",
-       "    }\n",
-       "};\n",
-       "\n",
-       "mpl.figure.prototype.toolbar_button_onmouseover = function(tooltip) {\n",
-       "    this.message.textContent = tooltip;\n",
-       "};\n",
-       "mpl.toolbar_items = [[\"Home\", \"Reset original view\", \"fa fa-home icon-home\", \"home\"], [\"Back\", \"Back to  previous view\", \"fa fa-arrow-left icon-arrow-left\", \"back\"], [\"Forward\", \"Forward to next view\", \"fa fa-arrow-right icon-arrow-right\", \"forward\"], [\"\", \"\", \"\", \"\"], [\"Pan\", \"Pan axes with left mouse, zoom with right\", \"fa fa-arrows icon-move\", \"pan\"], [\"Zoom\", \"Zoom to rectangle\", \"fa fa-square-o icon-check-empty\", \"zoom\"], [\"\", \"\", \"\", \"\"], [\"Download\", \"Download plot\", \"fa fa-floppy-o icon-save\", \"download\"]];\n",
-       "\n",
-       "mpl.extensions = [\"eps\", \"jpeg\", \"pdf\", \"png\", \"ps\", \"raw\", \"svg\", \"tif\"];\n",
-       "\n",
-       "mpl.default_extension = \"png\";var comm_websocket_adapter = function(comm) {\n",
-       "    // Create a \"websocket\"-like object which calls the given IPython comm\n",
-       "    // object with the appropriate methods. Currently this is a non binary\n",
-       "    // socket, so there is still some room for performance tuning.\n",
-       "    var ws = {};\n",
-       "\n",
-       "    ws.close = function() {\n",
-       "        comm.close()\n",
-       "    };\n",
-       "    ws.send = function(m) {\n",
-       "        //console.log('sending', m);\n",
-       "        comm.send(m);\n",
-       "    };\n",
-       "    // Register the callback with on_msg.\n",
-       "    comm.on_msg(function(msg) {\n",
-       "        //console.log('receiving', msg['content']['data'], msg);\n",
-       "        // Pass the mpl event to the overriden (by mpl) onmessage function.\n",
-       "        ws.onmessage(msg['content']['data'])\n",
-       "    });\n",
-       "    return ws;\n",
-       "}\n",
-       "\n",
-       "mpl.mpl_figure_comm = function(comm, msg) {\n",
-       "    // This is the function which gets called when the mpl process\n",
-       "    // starts-up an IPython Comm through the \"matplotlib\" channel.\n",
-       "\n",
-       "    var id = msg.content.data.id;\n",
-       "    // Get hold of the div created by the display call when the Comm\n",
-       "    // socket was opened in Python.\n",
-       "    var element = $(\"#\" + id);\n",
-       "    var ws_proxy = comm_websocket_adapter(comm)\n",
-       "\n",
-       "    function ondownload(figure, format) {\n",
-       "        window.open(figure.imageObj.src);\n",
-       "    }\n",
-       "\n",
-       "    var fig = new mpl.figure(id, ws_proxy,\n",
-       "                           ondownload,\n",
-       "                           element.get(0));\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.get(0);\n",
-       "    fig.cell_info = mpl.find_output_cell(\"<div id='\" + id + \"'></div>\");\n",
-       "    if (!fig.cell_info) {\n",
-       "        console.error(\"Failed to find cell for figure\", id, fig);\n",
-       "        return;\n",
-       "    }\n",
-       "\n",
-       "    var output_index = fig.cell_info[2]\n",
-       "    var cell = fig.cell_info[0];\n",
-       "\n",
-       "};\n",
-       "\n",
-       "mpl.figure.prototype.handle_close = function(fig, msg) {\n",
-       "    fig.root.unbind('remove')\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).html('<img src=\"' + dataURL + '\">');\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 dataURL = this.canvas.toDataURL();\n",
-       "    this.cell_info[1]['text/html'] = '<img src=\"' + dataURL + '\">';\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 () { fig.push_to_output() }, 1000);\n",
-       "}\n",
-       "\n",
-       "mpl.figure.prototype._init_toolbar = function() {\n",
-       "    var fig = this;\n",
-       "\n",
-       "    var nav_element = $('<div/>')\n",
-       "    nav_element.attr('style', 'width: 100%');\n",
-       "    this.root.append(nav_element);\n",
-       "\n",
-       "    // Define a callback function for later on.\n",
-       "    function toolbar_event(event) {\n",
-       "        return fig.toolbar_button_onclick(event['data']);\n",
-       "    }\n",
-       "    function toolbar_mouse_event(event) {\n",
-       "        return fig.toolbar_button_onmouseover(event['data']);\n",
-       "    }\n",
-       "\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) { continue; };\n",
-       "\n",
-       "        var button = $('<button class=\"btn btn-default\" href=\"#\" title=\"' + name + '\"><i class=\"fa ' + image + ' fa-lg\"></i></button>');\n",
-       "        button.click(method_name, toolbar_event);\n",
-       "        button.mouseover(tooltip, toolbar_mouse_event);\n",
-       "        nav_element.append(button);\n",
-       "    }\n",
-       "\n",
-       "    // Add the status bar.\n",
-       "    var status_bar = $('<span class=\"mpl-message\" style=\"text-align:right; float: right;\"/>');\n",
-       "    nav_element.append(status_bar);\n",
-       "    this.message = status_bar[0];\n",
-       "\n",
-       "    // Add the close button to the window.\n",
-       "    var buttongrp = $('<div class=\"btn-group inline pull-right\"></div>');\n",
-       "    var button = $('<button class=\"btn btn-mini btn-primary\" href=\"#\" title=\"Stop Interaction\"><i class=\"fa fa-power-off icon-remove icon-large\"></i></button>');\n",
-       "    button.click(function (evt) { fig.handle_close(fig, {}); } );\n",
-       "    button.mouseover('Stop Interaction', toolbar_mouse_event);\n",
-       "    buttongrp.append(button);\n",
-       "    var titlebar = this.root.find($('.ui-dialog-titlebar'));\n",
-       "    titlebar.prepend(buttongrp);\n",
-       "}\n",
-       "\n",
-       "mpl.figure.prototype._root_extra_style = function(el){\n",
-       "    var fig = this\n",
-       "    el.on(\"remove\", function(){\n",
-       "\tfig.close_ws(fig, {});\n",
-       "    });\n",
-       "}\n",
-       "\n",
-       "mpl.figure.prototype._canvas_extra_style = function(el){\n",
-       "    // this is important to make the div 'focusable\n",
-       "    el.attr('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",
-       "    }\n",
-       "    else {\n",
-       "        // location in version 2\n",
-       "        IPython.keyboard_manager.register_events(el);\n",
-       "    }\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",
-       "    // Check for shift+enter\n",
-       "    if (event.shiftKey && event.which == 13) {\n",
-       "        this.canvas_div.blur();\n",
-       "        event.shiftKey = false;\n",
-       "        // Send a \"J\" for go to next cell\n",
-       "        event.which = 74;\n",
-       "        event.keyCode = 74;\n",
-       "        manager.command_mode();\n",
-       "        manager.handle_keydown(event);\n",
-       "    }\n",
-       "}\n",
-       "\n",
-       "mpl.figure.prototype.handle_save = function(fig, msg) {\n",
-       "    fig.ondownload(fig, null);\n",
-       "}\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('matplotlib', mpl.mpl_figure_comm);\n",
-       "}\n"
-      ],
+      "image/png": "iVBORw0KGgoAAAANSUhEUgAAAhkAAACSCAYAAADo8ti5AAAABHNCSVQICAgIfAhkiAAAAAlwSFlz\nAAALEgAACxIB0t1+/AAAEaNJREFUeJzt3X9s1PUdx/HXleOo9A4BPZNllLYyG41/1JXEH1tuY5PO\nbhpjbW85YEUjMZnLEuOqQZyjdKReQcMyAkQIE0JFzxBrIE0mSddiXE1m19iOamAKLSm4aJUCvbZy\nHnf7g3DYMfqF63383vd4Pv6B732+fPt65+jx4u76OVcymUwKAAAgw/LsDgAAAHITJQMAABhByQAA\nAEZQMgAAgBGUDAAAYAQlAwAAGHFFJaO3t1e1tbWX3N7e3q6amhqFQiHt2bMn4+EAAIBzua1O2L59\nu/bu3auCgoIJt8fjcTU1NamlpUUzZszQkiVLdO+992ru3LnGwgIAAOewfCajqKhImzdvvuT2I0eO\nqKioSF6vV9OnT9fChQvV1dVlJCQAAHAey5JRUVGhadOmXXJ7NBqVz+dLHRcUFGhkZCSz6QAAgGOl\n/cZPr9eraDSaOh4dHdWsWbMs/1w8fi7dLwkAABzE8j0ZF/zvR5wsWLBAx44d05kzZ5Sfn6+uri6t\nWLHC8jrDw2NXn3ISfr9PQ0O58QxKrszCHNmFObJPrszCHNnFrjn8ft9l1664ZLhcLklSa2urxsfH\nFQwGtWrVKj322GNKJpMKBoO66aabpp4WAADkhCsqGd/97ncViUQkSQ888EDq9kWLFmnRokVGggEA\nAGdjMy4AAGAEJQMAABhByQAAAEZQMgAAgBGUDAAAYAQlAwAAGEHJAAAARlAyAACAEZQMAABgBCUD\nAAAYQckAAABGUDIAAIARlAwAAGAEJQMAABhByQAAAEZYloxkMqn6+nqFQiEtX75cg4ODE9b37dun\nhx9+WMFgUK+//rqxoAAAwFncVie0tbUpFospEomot7dX4XBYW7ZsSa2vX79ef/3rX5Wfn6/7779f\nDzzwgHw+n9HQAAAg+1mWjO7ubgUCAUlSWVmZ+vr6JqzfeuutOn36tFwulySlfgUAANc2y5IRjUYn\nPDPhdruVSCSUl3f+lZZbbrlF1dXVmjlzpioqKuT1es2lBQAAjmFZMrxer0ZHR1PH3ywYhw8f1oED\nB9Te3q6ZM2fq6aef1v79+3Xfffdd9npz5syU2z0tA9Ev8vtz5+WZXJmFObILc2SfXJmFObJLts1h\nWTLKy8vV0dGhyspK9fT0qLS0NLXm8/l03XXXyePxyOVyae7cuTpz5syk1xseHpt66m/w+30aGhrJ\n6DXtkiuzMEd2YY7skyuzMEd2sWuOyYqNZcmoqKhQZ2enQqGQJCkcDqu1tVXj4+MKBoP65S9/qaVL\nl8rj8Wj+/PmqqqrKXHIAAOBYliXD5XKpoaFhwm0lJSWp34dCoVQBAQAAuIDNuAAAgBGUDAAAYAQl\nAwAAGEHJAAAARlAyAACAEZQMAABgBCUDAAAYQckAAABGUDIAAIARlAwAAGAEJQMAABhByQAAAEZQ\nMgAAgBGUDAAAYITlR70nk0mtWbNGhw8flsfjUWNjowoLC1Pr//rXv7Ru3TpJ0o033qgXX3xRHo/H\nXGIAAOAIls9ktLW1KRaLKRKJqK6uTuFweML66tWr1dTUpN27dysQCOjTTz81FhYAADiH5TMZ3d3d\nCgQCkqSysjL19fWl1vr7+zV79mzt2LFDH3/8sRYtWqTi4mJjYQEAgHNYPpMRjUbl8/lSx263W4lE\nQpI0PDysnp4e1dbWaseOHXrvvff0j3/8w1xaAADgGJbPZHi9Xo2OjqaOE4mE8vLOd5PZs2dr/vz5\nKikpkSQFAgH19fXprrvuuuz15syZKbd72lRzT+D3+6xPcohcmYU5sgtzZJ9cmYU5sku2zWFZMsrL\ny9XR0aHKykr19PSotLQ0tVZYWKixsTENDg6qsLBQ3d3dqqmpmfR6w8NjU0/9DX6/T0NDIxm9pl1y\nZRbmyC7MkX1yZRbmyC52zTFZsbEsGRUVFers7FQoFJIkhcNhtba2anx8XMFgUI2Njfrd734nSfr+\n97+vH//4xxmKDQAAnMyyZLhcLjU0NEy47cLLI5J01113ac+ePZlPBgAAHI3NuAAAgBGUDAAAYAQl\nAwAAGEHJAAAARlAyAACAEZQMAABgBCUDAAAYQckAAABGUDIAAIARlAwAAGAEJQMAABhByQAAAEZQ\nMgAAgBGUDAAAYIRlyUgmk6qvr1coFNLy5cs1ODj4f89bvXq1NmzYkPGAAADAmSxLRltbm2KxmCKR\niOrq6hQOhy85JxKJ6N///reRgAAAwJksS0Z3d7cCgYAkqaysTH19fRPWP/jgAx08eFChUMhMQgAA\n4EiWJSMajcrn86WO3W63EomEJGloaEibNm3S6tWrlUwmzaUEAACO47Y6wev1anR0NHWcSCSUl3e+\nm7z99ts6deqUHn/8cQ0NDens2bO6+eab9dBDD132enPmzJTbPS0D0S/y+33WJzlErszCHNmFObJP\nrszCHNkl2+awLBnl5eXq6OhQZWWlenp6VFpamlqrra1VbW2tJOmtt95Sf3//pAVDkoaHx6YYeSK/\n36ehoZGMXtMuuTILc2QX5sg+uTILc2QXu+aYrNhYloyKigp1dnam3nMRDofV2tqq8fFxBYPBzKUE\nAAA5xbJkuFwuNTQ0TLitpKTkkvOqqqoylwoAADgem3EBAAAjKBkAAMAISgYAADCCkgEAAIygZAAA\nACMoGQAAwAjLH2HNtCNHPs7o9YaHvTp5Mpqx6xUX36xp0ybfkfTcuXMaGDiasa95gR2zAICTmHj8\n5bHXnG+9ZCx7s0ce/7wMXvGLjF0pNnRcu6ulBQtumfS8gYGjBuaQ7JgFAJzEzOMvj72mfOslw+Of\np/zvXLqZl9PkyhwA4DQ8/joH78kAAABGUDIAAIARlAwAAGAEJQMAABhByQAAAEZY/nRJMpnUmjVr\ndPjwYXk8HjU2NqqwsDC13traql27dsntdqu0tFRr1qwxmRcAADiE5TMZbW1tisViikQiqqurUzgc\nTq2dPXtWGzdu1KuvvqrXXntNIyMj6ujoMBoYAAA4g2XJ6O7uViAQkCSVlZWpr68vtebxeBSJROTx\neCRJ8XhcM2bMMBQVAAA4iWXJiEaj8vl8qWO3261EIiFJcrlcmjt3riSpublZ4+Pj+sEPfmAoKgAA\ncBLL92R4vV6Njo6mjhOJhPLyLnaTZDKp9evX69ixY9q0aZOZlN+iuXO98vt9k54zPOxVJrehNeVK\nZjHFrq+bacyRXXJlDil3Zvm253DC4y+PvRdZlozy8nJ1dHSosrJSPT09Ki0tnbD+hz/8Qfn5+dqy\nZYuxkN+mkyejGhoasTzHCa5kFhP8fp8tXzfTmCO75MocUu7MYsccTnj8vdYeeycrNpYlo6KiQp2d\nnQqFQpKkcDis1tZWjY+P6/bbb1dLS4sWLlyo2tpauVwuLV++XIsXL85cegAA4EiWJcPlcqmhoWHC\nbSUlFz+Y5qOPPsp8KgAA4HhsxgUAAIygZAAAACMoGQAAwAhKBgAAMIKSAQAAjKBkAAAAIygZAADA\nCMt9MpDbzp07p4GBoxm95vCwN6O78hUX36xp06ZNeg5zXB5z/H9XMoeUO7Pkyhy54lq5PygZ17iB\ngaNa9maPPP55Gbxq5j5XIDZ0XLurpQULbpn0POaYDHP8ryudQ8qdWXJljlxxrdwflAzI45+n/O+U\nWJ+Y5Zgju+TKHFLuzJIrc+SKa+H+4D0ZAADACEoGAAAwgpIBAACMoGQAAAAjKBkAAMAIy5KRTCZV\nX1+vUCik5cuXa3BwcMJ6e3u7ampqFAqFtGfPHmNBAQCAs1iWjLa2NsViMUUiEdXV1SkcDqfW4vG4\nmpqatHPnTjU3N+uNN97QyZMnjQYGAADOYFkyuru7FQgEJEllZWXq6+tLrR05ckRFRUXyer2aPn26\nFi5cqK6uLnNpAQCAY1huxhWNRuXz+S7+AbdbiURCeXl5l6wVFBRoZGRk0uvFho5PIa5Z57PdeBXn\nZq9cmYU5ssu1OMfF87PTtXifMId5V/s9cjmWJcPr9Wp0dDR1fKFgXFiLRi/ukz46OqpZs2ZNer0j\nLz6Wbtas4feX68jd5XbHyIhcmYU5skuuzCHlzizMkV1yZQ4rli+XlJeX65133pEk9fT0qLS0NLW2\nYMECHTt2TGfOnFEsFlNXV5fuuOMOc2kBAIBjuJLJZHKyE5LJpNasWaPDhw9LksLhsD788EONj48r\nGAzqwIED2rRpk5LJpGpqarRkyZJvJTgAAMhuliUDAAAgHWzGBQAAjKBkAAAAIygZAADACMsfYc1W\n33xDqsfjUWNjowoLC+2Olbbe3l699NJLam5utjtKWuLxuJ577jmdOHFCX3/9tX7961/rpz/9qd2x\n0pJIJPT888+rv79feXl5amho0Pe+9z27Y6Xlyy+/VHV1tXbs2KGSkhK746Tt4YcfltfrlSTNmzdP\nL7zwgs2J0rNt2za1t7fr66+/1tKlS1VdXW13pLS89dZbamlpkcvl0tmzZ3Xo0CF1dnam7iOniMfj\nWrlypU6cOCG32621a9c68vskFotp1apVOn78uLxer+rr6zV//ny7Y0lycMn45nbnvb29CofD2rJl\ni92x0rJ9+3bt3btXBQUFdkdJ2759+zRnzhytX79ep0+f1kMPPeTYktHe3i6Xy6XXX39d77//vjZs\n2ODIv1vxeFz19fXKz8+3O8qUxGIxSdKuXbtsTjI177//vj744ANFIhGNjY3plVdesTtS2qqqqlRV\nVSVJ+uMf/6iamhrHFQxJeuedd5RIJBSJRPTee+/pT3/6kzZu3Gh3rKu2Z88eFRQU6I033lB/f78a\nGhr0l7/8xe5Ykhz8cslk2507TVFRkTZv3mx3jCn5+c9/rieffFLS+WcC3G7H9lctXrxYa9eulSSd\nOHFC119/vc2J0rNu3TotWbJEN910k91RpuTQoUMaGxvTihUr9Oijj6q3t9fuSGn5+9//rtLSUv3m\nN7/RE088oZ/85Cd2R5qygwcP6pNPPlEwGLQ7SlqKi4t17tw5JZNJjYyMaPr06XZHSssnn3yiH/3o\nR5KkkpISHT161OZEFzn2X4LJtjt3moqKCp04ccLuGFNy3XXXSTp/vzz55JN66qmnbE40NXl5eXr2\n2WfV1tbmyP/ZtLS06IYbbtAPf/hDvfzyy3bHmZL8/HytWLFCwWBQAwMDevzxx7V//37Hfa8PDw/r\n008/1datWzU4OKgnnnhCb7/9tt2xpmTbtm367W9/a3eMtBUUFOj48eOqrKzUqVOntHXrVrsjpeW2\n227TgQMHtHjxYvX09Ojzzz9XMpmUy+WyO5pzn8mYbLtz2OM///mPHnnkEVVVVekXv/iF3XGmrKmp\nSfv379fzzz+vr776yu44V6WlpUWdnZ2qra3VoUOHtHLlSn355Zd2x0pLcXGxHnzwwdTvZ8+eraGh\nIZtTXb3Zs2crEAjI7XarpKREM2bMcPSnVo+MjGhgYEB33nmn3VHStnPnTgUCAe3fv1/79u3TypUr\nUy/POUl1dbUKCgq0bNky/e1vf9Ptt9+eFQVDcnDJmGy7c6dy8r5oX3zxhVasWKFnnnkm9VqtU+3d\nu1fbtm2TJM2YMUN5eXmOK7Cvvvqqmpub1dzcrFtvvVXr1q3TDTfcYHestLz55ptqamqSJH322Wca\nHR2V3++3OdXVW7hwod59911J5+f46quvNGfOHJtTpa+rq0t333233TGm5Prrr0+9l8Tn8ykejyuR\nSNic6uodPHhQ99xzj3bv3q377rsvq34IwrEvl1RUVKizs1OhUEjS+e3OnS5bmmc6tm7dqjNnzmjL\nli3avHmzXC6Xtm/fLo/HY3e0q/azn/1Mq1at0q9+9SvF43H9/ve/d+QcFzj575Uk1dTUaNWqVVq6\ndKny8vL0wgsvOK70SdKiRYv0z3/+UzU1NUomk6qvr3f0fdPf359V/5il45FHHtFzzz2nZcuWKR6P\nq66uzpFvlC4qKtKf//xnvfzyy5o1a5YaGxvtjpTCtuIAAMAI5/13AAAAOAIlAwAAGEHJAAAARlAy\nAACAEZQMAABgBCUDAAAYQckAAABGUDIAAIAR/wVNIShHWHjC1AAAAABJRU5ErkJggg==\n",
       "text/plain": [
-       "<IPython.core.display.Javascript object>"
-      ]
-     },
-     "metadata": {},
-     "output_type": "display_data"
-    },
-    {
-     "data": {
-      "text/html": [
-       "<img src=\"data:image/png;base64,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\">"
-      ],
-      "text/plain": [
-       "<IPython.core.display.HTML object>"
+       "<matplotlib.figure.Figure at 0x1cf1280c550>"
       ]
      },
      "metadata": {},
@@ -2079,8 +546,7 @@
     "reading = 1 # 1 is 'door'\n",
     "update_belief(hallway, belief, z=reading, correct_scale=3.)\n",
     "print('sum =', sum(belief))\n",
-    "with interactive_plot():\n",
-    "    bp.bar_plot(belief)"
+    "bp.bar_plot(belief)"
    ]
   },
   {
@@ -2188,775 +654,9 @@
     },
     {
      "data": {
-      "application/javascript": [
-       "/* Put everything inside the global mpl namespace */\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('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",
-       "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 = $('<div/>');\n",
-       "    this._root_extra_style(this.root)\n",
-       "    this.root.attr('style', 'display: inline-block');\n",
-       "\n",
-       "    $(parent_element).append(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",
-       "            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",
-       "        this.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 = $(\n",
-       "        '<div class=\"ui-dialog-titlebar ui-widget-header ui-corner-all ' +\n",
-       "        'ui-helper-clearfix\"/>');\n",
-       "    var titletext = $(\n",
-       "        '<div class=\"ui-dialog-title\" style=\"width: 100%; ' +\n",
-       "        'text-align: center; padding: 3px;\"/>');\n",
-       "    titlebar.append(titletext)\n",
-       "    this.root.append(titlebar);\n",
-       "    this.header = titletext[0];\n",
-       "}\n",
-       "\n",
-       "\n",
-       "\n",
-       "mpl.figure.prototype._canvas_extra_style = function(canvas_div) {\n",
-       "\n",
-       "}\n",
-       "\n",
-       "\n",
-       "mpl.figure.prototype._root_extra_style = function(canvas_div) {\n",
-       "\n",
-       "}\n",
-       "\n",
-       "mpl.figure.prototype._init_canvas = function() {\n",
-       "    var fig = this;\n",
-       "\n",
-       "    var canvas_div = $('<div/>');\n",
-       "\n",
-       "    canvas_div.attr('style', 'position: relative; clear: both; outline: 0');\n",
-       "\n",
-       "    function canvas_keyboard_event(event) {\n",
-       "        return fig.key_event(event, event['data']);\n",
-       "    }\n",
-       "\n",
-       "    canvas_div.keydown('key_press', canvas_keyboard_event);\n",
-       "    canvas_div.keyup('key_release', canvas_keyboard_event);\n",
-       "    this.canvas_div = canvas_div\n",
-       "    this._canvas_extra_style(canvas_div)\n",
-       "    this.root.append(canvas_div);\n",
-       "\n",
-       "    var canvas = $('<canvas/>');\n",
-       "    canvas.addClass('mpl-canvas');\n",
-       "    canvas.attr('style', \"left: 0; top: 0; z-index: 0; outline: 0\")\n",
-       "\n",
-       "    this.canvas = canvas[0];\n",
-       "    this.context = canvas[0].getContext(\"2d\");\n",
-       "\n",
-       "    var rubberband = $('<canvas/>');\n",
-       "    rubberband.attr('style', \"position: absolute; left: 0; top: 0; z-index: 1;\")\n",
-       "\n",
-       "    var pass_mouse_events = true;\n",
-       "\n",
-       "    canvas_div.resizable({\n",
-       "        start: function(event, ui) {\n",
-       "            pass_mouse_events = false;\n",
-       "        },\n",
-       "        resize: function(event, ui) {\n",
-       "            fig.request_resize(ui.size.width, ui.size.height);\n",
-       "        },\n",
-       "        stop: function(event, ui) {\n",
-       "            pass_mouse_events = true;\n",
-       "            fig.request_resize(ui.size.width, ui.size.height);\n",
-       "        },\n",
-       "    });\n",
-       "\n",
-       "    function mouse_event_fn(event) {\n",
-       "        if (pass_mouse_events)\n",
-       "            return fig.mouse_event(event, event['data']);\n",
-       "    }\n",
-       "\n",
-       "    rubberband.mousedown('button_press', mouse_event_fn);\n",
-       "    rubberband.mouseup('button_release', mouse_event_fn);\n",
-       "    // Throttle sequential mouse events to 1 every 20ms.\n",
-       "    rubberband.mousemove('motion_notify', mouse_event_fn);\n",
-       "\n",
-       "    rubberband.mouseenter('figure_enter', mouse_event_fn);\n",
-       "    rubberband.mouseleave('figure_leave', mouse_event_fn);\n",
-       "\n",
-       "    canvas_div.on(\"wheel\", function (event) {\n",
-       "        event = event.originalEvent;\n",
-       "        event['data'] = 'scroll'\n",
-       "        if (event.deltaY < 0) {\n",
-       "            event.step = 1;\n",
-       "        } else {\n",
-       "            event.step = -1;\n",
-       "        }\n",
-       "        mouse_event_fn(event);\n",
-       "    });\n",
-       "\n",
-       "    canvas_div.append(canvas);\n",
-       "    canvas_div.append(rubberband);\n",
-       "\n",
-       "    this.rubberband = rubberband;\n",
-       "    this.rubberband_canvas = rubberband[0];\n",
-       "    this.rubberband_context = rubberband[0].getContext(\"2d\");\n",
-       "    this.rubberband_context.strokeStyle = \"#000000\";\n",
-       "\n",
-       "    this._resize_canvas = function(width, height) {\n",
-       "        // Keep the size of the canvas, canvas container, and rubber band\n",
-       "        // canvas in synch.\n",
-       "        canvas_div.css('width', width)\n",
-       "        canvas_div.css('height', height)\n",
-       "\n",
-       "        canvas.attr('width', width);\n",
-       "        canvas.attr('height', height);\n",
-       "\n",
-       "        rubberband.attr('width', width);\n",
-       "        rubberband.attr('height', height);\n",
-       "    }\n",
-       "\n",
-       "    // Set the figure to an initial 600x600px, this will subsequently be updated\n",
-       "    // upon first draw.\n",
-       "    this._resize_canvas(600, 600);\n",
-       "\n",
-       "    // Disable right mouse context menu.\n",
-       "    $(this.rubberband_canvas).bind(\"contextmenu\",function(e){\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 nav_element = $('<div/>')\n",
-       "    nav_element.attr('style', 'width: 100%');\n",
-       "    this.root.append(nav_element);\n",
-       "\n",
-       "    // Define a callback function for later on.\n",
-       "    function toolbar_event(event) {\n",
-       "        return fig.toolbar_button_onclick(event['data']);\n",
-       "    }\n",
-       "    function toolbar_mouse_event(event) {\n",
-       "        return fig.toolbar_button_onmouseover(event['data']);\n",
-       "    }\n",
-       "\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",
-       "            // put a spacer in here.\n",
-       "            continue;\n",
-       "        }\n",
-       "        var button = $('<button/>');\n",
-       "        button.addClass('ui-button ui-widget ui-state-default ui-corner-all ' +\n",
-       "                        'ui-button-icon-only');\n",
-       "        button.attr('role', 'button');\n",
-       "        button.attr('aria-disabled', 'false');\n",
-       "        button.click(method_name, toolbar_event);\n",
-       "        button.mouseover(tooltip, toolbar_mouse_event);\n",
-       "\n",
-       "        var icon_img = $('<span/>');\n",
-       "        icon_img.addClass('ui-button-icon-primary ui-icon');\n",
-       "        icon_img.addClass(image);\n",
-       "        icon_img.addClass('ui-corner-all');\n",
-       "\n",
-       "        var tooltip_span = $('<span/>');\n",
-       "        tooltip_span.addClass('ui-button-text');\n",
-       "        tooltip_span.html(tooltip);\n",
-       "\n",
-       "        button.append(icon_img);\n",
-       "        button.append(tooltip_span);\n",
-       "\n",
-       "        nav_element.append(button);\n",
-       "    }\n",
-       "\n",
-       "    var fmt_picker_span = $('<span/>');\n",
-       "\n",
-       "    var fmt_picker = $('<select/>');\n",
-       "    fmt_picker.addClass('mpl-toolbar-option ui-widget ui-widget-content');\n",
-       "    fmt_picker_span.append(fmt_picker);\n",
-       "    nav_element.append(fmt_picker_span);\n",
-       "    this.format_dropdown = fmt_picker[0];\n",
-       "\n",
-       "    for (var ind in mpl.extensions) {\n",
-       "        var fmt = mpl.extensions[ind];\n",
-       "        var option = $(\n",
-       "            '<option/>', {selected: fmt === mpl.default_extension}).html(fmt);\n",
-       "        fmt_picker.append(option)\n",
-       "    }\n",
-       "\n",
-       "    // Add hover states to the ui-buttons\n",
-       "    $( \".ui-button\" ).hover(\n",
-       "        function() { $(this).addClass(\"ui-state-hover\");},\n",
-       "        function() { $(this).removeClass(\"ui-state-hover\");}\n",
-       "    );\n",
-       "\n",
-       "    var status_bar = $('<span class=\"mpl-message\"/>');\n",
-       "    nav_element.append(status_bar);\n",
-       "    this.message = status_bar[0];\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",
-       "\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",
-       "\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]);\n",
-       "        fig.send_message(\"refresh\", {});\n",
-       "    };\n",
-       "}\n",
-       "\n",
-       "mpl.figure.prototype.handle_rubberband = function(fig, msg) {\n",
-       "    var x0 = msg['x0'];\n",
-       "    var y0 = fig.canvas.height - msg['y0'];\n",
-       "    var x1 = msg['x1'];\n",
-       "    var y1 = fig.canvas.height - msg['y1'];\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, 0, fig.canvas.width, fig.canvas.height);\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",
-       "    {\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.updated_canvas_event = function() {\n",
-       "    // Called whenever the canvas gets updated.\n",
-       "    this.send_message(\"ack\", {});\n",
-       "}\n",
-       "\n",
-       "// A function to construct a web socket function for onmessage handling.\n",
-       "// Called in the figure constructor.\n",
-       "mpl.figure.prototype._make_on_message_function = function(fig) {\n",
-       "    return function socket_on_message(evt) {\n",
-       "        if (evt.data instanceof Blob) {\n",
-       "            /* FIXME: We get \"Resource interpreted as Image but\n",
-       "             * transferred with MIME type text/plain:\" errors on\n",
-       "             * Chrome.  But how to set the MIME type?  It doesn't seem\n",
-       "             * to be part of the websocket stream */\n",
-       "            evt.data.type = \"image/png\";\n",
-       "\n",
-       "            /* Free the memory for the previous frames */\n",
-       "            if (fig.imageObj.src) {\n",
-       "                (window.URL || window.webkitURL).revokeObjectURL(\n",
-       "                    fig.imageObj.src);\n",
-       "            }\n",
-       "\n",
-       "            fig.imageObj.src = (window.URL || window.webkitURL).createObjectURL(\n",
-       "                evt.data);\n",
-       "            fig.updated_canvas_event();\n",
-       "            fig.waiting = false;\n",
-       "            return;\n",
-       "        }\n",
-       "        else if (typeof evt.data === 'string' && evt.data.slice(0, 21) == \"data:image/png;base64\") {\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(\"No handler for the '\" + msg_type + \"' message type: \", msg);\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(\"Exception inside the 'handler_\" + msg_type + \"' callback:\", e, e.stack, msg);\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",
-       "    if (e.target)\n",
-       "        targ = e.target;\n",
-       "    else if (e.srcElement)\n",
-       "        targ = e.srcElement;\n",
-       "    if (targ.nodeType == 3) // defeat Safari bug\n",
-       "        targ = targ.parentNode;\n",
-       "\n",
-       "    // jQuery normalizes the pageX and pageY\n",
-       "    // pageX,Y are the mouse positions relative to the document\n",
-       "    // offset() returns the position of the element relative to the document\n",
-       "    var x = e.pageX - $(targ).offset().left;\n",
-       "    var y = e.pageY - $(targ).offset().top;\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",
-       "    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",
-       "    {\n",
-       "        this.canvas.focus();\n",
-       "        this.canvas_div.focus();\n",
-       "    }\n",
-       "\n",
-       "    var x = canvas_pos.x;\n",
-       "    var y = canvas_pos.y;\n",
-       "\n",
-       "    this.send_message(name, {x: x, y: y, button: event.button,\n",
-       "                             step: event.step,\n",
-       "                             guiEvent: simpleKeys(event)});\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",
-       "\n",
-       "    // Prevent repeat events\n",
-       "    if (name == 'key_press')\n",
-       "    {\n",
-       "        if (event.which === this._key)\n",
-       "            return;\n",
-       "        else\n",
-       "            this._key = event.which;\n",
-       "    }\n",
-       "    if (name == 'key_release')\n",
-       "        this._key = null;\n",
-       "\n",
-       "    var value = '';\n",
-       "    if (event.ctrlKey && event.which != 17)\n",
-       "        value += \"ctrl+\";\n",
-       "    if (event.altKey && event.which != 18)\n",
-       "        value += \"alt+\";\n",
-       "    if (event.shiftKey && event.which != 16)\n",
-       "        value += \"shift+\";\n",
-       "\n",
-       "    value += 'k';\n",
-       "    value += event.which.toString();\n",
-       "\n",
-       "    this._key_event_extra(event, name);\n",
-       "\n",
-       "    this.send_message(name, {key: value,\n",
-       "                             guiEvent: simpleKeys(event)});\n",
-       "    return false;\n",
-       "}\n",
-       "\n",
-       "mpl.figure.prototype.toolbar_button_onclick = function(name) {\n",
-       "    if (name == 'download') {\n",
-       "        this.handle_save(this, null);\n",
-       "    } else {\n",
-       "        this.send_message(\"toolbar_button\", {name: name});\n",
-       "    }\n",
-       "};\n",
-       "\n",
-       "mpl.figure.prototype.toolbar_button_onmouseover = function(tooltip) {\n",
-       "    this.message.textContent = tooltip;\n",
-       "};\n",
-       "mpl.toolbar_items = [[\"Home\", \"Reset original view\", \"fa fa-home icon-home\", \"home\"], [\"Back\", \"Back to  previous view\", \"fa fa-arrow-left icon-arrow-left\", \"back\"], [\"Forward\", \"Forward to next view\", \"fa fa-arrow-right icon-arrow-right\", \"forward\"], [\"\", \"\", \"\", \"\"], [\"Pan\", \"Pan axes with left mouse, zoom with right\", \"fa fa-arrows icon-move\", \"pan\"], [\"Zoom\", \"Zoom to rectangle\", \"fa fa-square-o icon-check-empty\", \"zoom\"], [\"\", \"\", \"\", \"\"], [\"Download\", \"Download plot\", \"fa fa-floppy-o icon-save\", \"download\"]];\n",
-       "\n",
-       "mpl.extensions = [\"eps\", \"jpeg\", \"pdf\", \"png\", \"ps\", \"raw\", \"svg\", \"tif\"];\n",
-       "\n",
-       "mpl.default_extension = \"png\";var comm_websocket_adapter = function(comm) {\n",
-       "    // Create a \"websocket\"-like object which calls the given IPython comm\n",
-       "    // object with the appropriate methods. Currently this is a non binary\n",
-       "    // socket, so there is still some room for performance tuning.\n",
-       "    var ws = {};\n",
-       "\n",
-       "    ws.close = function() {\n",
-       "        comm.close()\n",
-       "    };\n",
-       "    ws.send = function(m) {\n",
-       "        //console.log('sending', m);\n",
-       "        comm.send(m);\n",
-       "    };\n",
-       "    // Register the callback with on_msg.\n",
-       "    comm.on_msg(function(msg) {\n",
-       "        //console.log('receiving', msg['content']['data'], msg);\n",
-       "        // Pass the mpl event to the overriden (by mpl) onmessage function.\n",
-       "        ws.onmessage(msg['content']['data'])\n",
-       "    });\n",
-       "    return ws;\n",
-       "}\n",
-       "\n",
-       "mpl.mpl_figure_comm = function(comm, msg) {\n",
-       "    // This is the function which gets called when the mpl process\n",
-       "    // starts-up an IPython Comm through the \"matplotlib\" channel.\n",
-       "\n",
-       "    var id = msg.content.data.id;\n",
-       "    // Get hold of the div created by the display call when the Comm\n",
-       "    // socket was opened in Python.\n",
-       "    var element = $(\"#\" + id);\n",
-       "    var ws_proxy = comm_websocket_adapter(comm)\n",
-       "\n",
-       "    function ondownload(figure, format) {\n",
-       "        window.open(figure.imageObj.src);\n",
-       "    }\n",
-       "\n",
-       "    var fig = new mpl.figure(id, ws_proxy,\n",
-       "                           ondownload,\n",
-       "                           element.get(0));\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.get(0);\n",
-       "    fig.cell_info = mpl.find_output_cell(\"<div id='\" + id + \"'></div>\");\n",
-       "    if (!fig.cell_info) {\n",
-       "        console.error(\"Failed to find cell for figure\", id, fig);\n",
-       "        return;\n",
-       "    }\n",
-       "\n",
-       "    var output_index = fig.cell_info[2]\n",
-       "    var cell = fig.cell_info[0];\n",
-       "\n",
-       "};\n",
-       "\n",
-       "mpl.figure.prototype.handle_close = function(fig, msg) {\n",
-       "    fig.root.unbind('remove')\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).html('<img src=\"' + dataURL + '\">');\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 dataURL = this.canvas.toDataURL();\n",
-       "    this.cell_info[1]['text/html'] = '<img src=\"' + dataURL + '\">';\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 () { fig.push_to_output() }, 1000);\n",
-       "}\n",
-       "\n",
-       "mpl.figure.prototype._init_toolbar = function() {\n",
-       "    var fig = this;\n",
-       "\n",
-       "    var nav_element = $('<div/>')\n",
-       "    nav_element.attr('style', 'width: 100%');\n",
-       "    this.root.append(nav_element);\n",
-       "\n",
-       "    // Define a callback function for later on.\n",
-       "    function toolbar_event(event) {\n",
-       "        return fig.toolbar_button_onclick(event['data']);\n",
-       "    }\n",
-       "    function toolbar_mouse_event(event) {\n",
-       "        return fig.toolbar_button_onmouseover(event['data']);\n",
-       "    }\n",
-       "\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) { continue; };\n",
-       "\n",
-       "        var button = $('<button class=\"btn btn-default\" href=\"#\" title=\"' + name + '\"><i class=\"fa ' + image + ' fa-lg\"></i></button>');\n",
-       "        button.click(method_name, toolbar_event);\n",
-       "        button.mouseover(tooltip, toolbar_mouse_event);\n",
-       "        nav_element.append(button);\n",
-       "    }\n",
-       "\n",
-       "    // Add the status bar.\n",
-       "    var status_bar = $('<span class=\"mpl-message\" style=\"text-align:right; float: right;\"/>');\n",
-       "    nav_element.append(status_bar);\n",
-       "    this.message = status_bar[0];\n",
-       "\n",
-       "    // Add the close button to the window.\n",
-       "    var buttongrp = $('<div class=\"btn-group inline pull-right\"></div>');\n",
-       "    var button = $('<button class=\"btn btn-mini btn-primary\" href=\"#\" title=\"Stop Interaction\"><i class=\"fa fa-power-off icon-remove icon-large\"></i></button>');\n",
-       "    button.click(function (evt) { fig.handle_close(fig, {}); } );\n",
-       "    button.mouseover('Stop Interaction', toolbar_mouse_event);\n",
-       "    buttongrp.append(button);\n",
-       "    var titlebar = this.root.find($('.ui-dialog-titlebar'));\n",
-       "    titlebar.prepend(buttongrp);\n",
-       "}\n",
-       "\n",
-       "mpl.figure.prototype._root_extra_style = function(el){\n",
-       "    var fig = this\n",
-       "    el.on(\"remove\", function(){\n",
-       "\tfig.close_ws(fig, {});\n",
-       "    });\n",
-       "}\n",
-       "\n",
-       "mpl.figure.prototype._canvas_extra_style = function(el){\n",
-       "    // this is important to make the div 'focusable\n",
-       "    el.attr('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",
-       "    }\n",
-       "    else {\n",
-       "        // location in version 2\n",
-       "        IPython.keyboard_manager.register_events(el);\n",
-       "    }\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",
-       "    // Check for shift+enter\n",
-       "    if (event.shiftKey && event.which == 13) {\n",
-       "        this.canvas_div.blur();\n",
-       "        event.shiftKey = false;\n",
-       "        // Send a \"J\" for go to next cell\n",
-       "        event.which = 74;\n",
-       "        event.keyCode = 74;\n",
-       "        manager.command_mode();\n",
-       "        manager.handle_keydown(event);\n",
-       "    }\n",
-       "}\n",
-       "\n",
-       "mpl.figure.prototype.handle_save = function(fig, msg) {\n",
-       "    fig.ondownload(fig, null);\n",
-       "}\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('matplotlib', mpl.mpl_figure_comm);\n",
-       "}\n"
-      ],
+      "image/png": "iVBORw0KGgoAAAANSUhEUgAAAh8AAACSCAYAAADl7Kj+AAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\nAACAqSgfAADAVP8PCoGDtmlzVygAAAAASUVORK5CYII=\n",
       "text/plain": [
-       "<IPython.core.display.Javascript object>"
-      ]
-     },
-     "metadata": {},
-     "output_type": "display_data"
-    },
-    {
-     "data": {
-      "text/html": [
-       "<img src=\"data:image/png;base64,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\">"
-      ],
-      "text/plain": [
-       "<IPython.core.display.HTML object>"
+       "<matplotlib.figure.Figure at 0x1cf1314c128>"
       ]
      },
      "metadata": {},
@@ -2977,8 +677,7 @@
     "print('sum =', sum(belief))\n",
     "print('probability of door =', belief[0])\n",
     "print('probability of wall =', belief[2])\n",
-    "with interactive_plot():\n",
-    "    bp.bar_plot(belief, ylim=(0, .3))"
+    "bp.bar_plot(belief, ylim=(0, .3))"
    ]
   },
   {
@@ -3096,775 +795,9 @@
    "outputs": [
     {
      "data": {
-      "application/javascript": [
-       "/* Put everything inside the global mpl namespace */\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('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",
-       "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 = $('<div/>');\n",
-       "    this._root_extra_style(this.root)\n",
-       "    this.root.attr('style', 'display: inline-block');\n",
-       "\n",
-       "    $(parent_element).append(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",
-       "            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",
-       "        this.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 = $(\n",
-       "        '<div class=\"ui-dialog-titlebar ui-widget-header ui-corner-all ' +\n",
-       "        'ui-helper-clearfix\"/>');\n",
-       "    var titletext = $(\n",
-       "        '<div class=\"ui-dialog-title\" style=\"width: 100%; ' +\n",
-       "        'text-align: center; padding: 3px;\"/>');\n",
-       "    titlebar.append(titletext)\n",
-       "    this.root.append(titlebar);\n",
-       "    this.header = titletext[0];\n",
-       "}\n",
-       "\n",
-       "\n",
-       "\n",
-       "mpl.figure.prototype._canvas_extra_style = function(canvas_div) {\n",
-       "\n",
-       "}\n",
-       "\n",
-       "\n",
-       "mpl.figure.prototype._root_extra_style = function(canvas_div) {\n",
-       "\n",
-       "}\n",
-       "\n",
-       "mpl.figure.prototype._init_canvas = function() {\n",
-       "    var fig = this;\n",
-       "\n",
-       "    var canvas_div = $('<div/>');\n",
-       "\n",
-       "    canvas_div.attr('style', 'position: relative; clear: both; outline: 0');\n",
-       "\n",
-       "    function canvas_keyboard_event(event) {\n",
-       "        return fig.key_event(event, event['data']);\n",
-       "    }\n",
-       "\n",
-       "    canvas_div.keydown('key_press', canvas_keyboard_event);\n",
-       "    canvas_div.keyup('key_release', canvas_keyboard_event);\n",
-       "    this.canvas_div = canvas_div\n",
-       "    this._canvas_extra_style(canvas_div)\n",
-       "    this.root.append(canvas_div);\n",
-       "\n",
-       "    var canvas = $('<canvas/>');\n",
-       "    canvas.addClass('mpl-canvas');\n",
-       "    canvas.attr('style', \"left: 0; top: 0; z-index: 0; outline: 0\")\n",
-       "\n",
-       "    this.canvas = canvas[0];\n",
-       "    this.context = canvas[0].getContext(\"2d\");\n",
-       "\n",
-       "    var rubberband = $('<canvas/>');\n",
-       "    rubberband.attr('style', \"position: absolute; left: 0; top: 0; z-index: 1;\")\n",
-       "\n",
-       "    var pass_mouse_events = true;\n",
-       "\n",
-       "    canvas_div.resizable({\n",
-       "        start: function(event, ui) {\n",
-       "            pass_mouse_events = false;\n",
-       "        },\n",
-       "        resize: function(event, ui) {\n",
-       "            fig.request_resize(ui.size.width, ui.size.height);\n",
-       "        },\n",
-       "        stop: function(event, ui) {\n",
-       "            pass_mouse_events = true;\n",
-       "            fig.request_resize(ui.size.width, ui.size.height);\n",
-       "        },\n",
-       "    });\n",
-       "\n",
-       "    function mouse_event_fn(event) {\n",
-       "        if (pass_mouse_events)\n",
-       "            return fig.mouse_event(event, event['data']);\n",
-       "    }\n",
-       "\n",
-       "    rubberband.mousedown('button_press', mouse_event_fn);\n",
-       "    rubberband.mouseup('button_release', mouse_event_fn);\n",
-       "    // Throttle sequential mouse events to 1 every 20ms.\n",
-       "    rubberband.mousemove('motion_notify', mouse_event_fn);\n",
-       "\n",
-       "    rubberband.mouseenter('figure_enter', mouse_event_fn);\n",
-       "    rubberband.mouseleave('figure_leave', mouse_event_fn);\n",
-       "\n",
-       "    canvas_div.on(\"wheel\", function (event) {\n",
-       "        event = event.originalEvent;\n",
-       "        event['data'] = 'scroll'\n",
-       "        if (event.deltaY < 0) {\n",
-       "            event.step = 1;\n",
-       "        } else {\n",
-       "            event.step = -1;\n",
-       "        }\n",
-       "        mouse_event_fn(event);\n",
-       "    });\n",
-       "\n",
-       "    canvas_div.append(canvas);\n",
-       "    canvas_div.append(rubberband);\n",
-       "\n",
-       "    this.rubberband = rubberband;\n",
-       "    this.rubberband_canvas = rubberband[0];\n",
-       "    this.rubberband_context = rubberband[0].getContext(\"2d\");\n",
-       "    this.rubberband_context.strokeStyle = \"#000000\";\n",
-       "\n",
-       "    this._resize_canvas = function(width, height) {\n",
-       "        // Keep the size of the canvas, canvas container, and rubber band\n",
-       "        // canvas in synch.\n",
-       "        canvas_div.css('width', width)\n",
-       "        canvas_div.css('height', height)\n",
-       "\n",
-       "        canvas.attr('width', width);\n",
-       "        canvas.attr('height', height);\n",
-       "\n",
-       "        rubberband.attr('width', width);\n",
-       "        rubberband.attr('height', height);\n",
-       "    }\n",
-       "\n",
-       "    // Set the figure to an initial 600x600px, this will subsequently be updated\n",
-       "    // upon first draw.\n",
-       "    this._resize_canvas(600, 600);\n",
-       "\n",
-       "    // Disable right mouse context menu.\n",
-       "    $(this.rubberband_canvas).bind(\"contextmenu\",function(e){\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 nav_element = $('<div/>')\n",
-       "    nav_element.attr('style', 'width: 100%');\n",
-       "    this.root.append(nav_element);\n",
-       "\n",
-       "    // Define a callback function for later on.\n",
-       "    function toolbar_event(event) {\n",
-       "        return fig.toolbar_button_onclick(event['data']);\n",
-       "    }\n",
-       "    function toolbar_mouse_event(event) {\n",
-       "        return fig.toolbar_button_onmouseover(event['data']);\n",
-       "    }\n",
-       "\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",
-       "            // put a spacer in here.\n",
-       "            continue;\n",
-       "        }\n",
-       "        var button = $('<button/>');\n",
-       "        button.addClass('ui-button ui-widget ui-state-default ui-corner-all ' +\n",
-       "                        'ui-button-icon-only');\n",
-       "        button.attr('role', 'button');\n",
-       "        button.attr('aria-disabled', 'false');\n",
-       "        button.click(method_name, toolbar_event);\n",
-       "        button.mouseover(tooltip, toolbar_mouse_event);\n",
-       "\n",
-       "        var icon_img = $('<span/>');\n",
-       "        icon_img.addClass('ui-button-icon-primary ui-icon');\n",
-       "        icon_img.addClass(image);\n",
-       "        icon_img.addClass('ui-corner-all');\n",
-       "\n",
-       "        var tooltip_span = $('<span/>');\n",
-       "        tooltip_span.addClass('ui-button-text');\n",
-       "        tooltip_span.html(tooltip);\n",
-       "\n",
-       "        button.append(icon_img);\n",
-       "        button.append(tooltip_span);\n",
-       "\n",
-       "        nav_element.append(button);\n",
-       "    }\n",
-       "\n",
-       "    var fmt_picker_span = $('<span/>');\n",
-       "\n",
-       "    var fmt_picker = $('<select/>');\n",
-       "    fmt_picker.addClass('mpl-toolbar-option ui-widget ui-widget-content');\n",
-       "    fmt_picker_span.append(fmt_picker);\n",
-       "    nav_element.append(fmt_picker_span);\n",
-       "    this.format_dropdown = fmt_picker[0];\n",
-       "\n",
-       "    for (var ind in mpl.extensions) {\n",
-       "        var fmt = mpl.extensions[ind];\n",
-       "        var option = $(\n",
-       "            '<option/>', {selected: fmt === mpl.default_extension}).html(fmt);\n",
-       "        fmt_picker.append(option)\n",
-       "    }\n",
-       "\n",
-       "    // Add hover states to the ui-buttons\n",
-       "    $( \".ui-button\" ).hover(\n",
-       "        function() { $(this).addClass(\"ui-state-hover\");},\n",
-       "        function() { $(this).removeClass(\"ui-state-hover\");}\n",
-       "    );\n",
-       "\n",
-       "    var status_bar = $('<span class=\"mpl-message\"/>');\n",
-       "    nav_element.append(status_bar);\n",
-       "    this.message = status_bar[0];\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",
-       "\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",
-       "\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]);\n",
-       "        fig.send_message(\"refresh\", {});\n",
-       "    };\n",
-       "}\n",
-       "\n",
-       "mpl.figure.prototype.handle_rubberband = function(fig, msg) {\n",
-       "    var x0 = msg['x0'];\n",
-       "    var y0 = fig.canvas.height - msg['y0'];\n",
-       "    var x1 = msg['x1'];\n",
-       "    var y1 = fig.canvas.height - msg['y1'];\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, 0, fig.canvas.width, fig.canvas.height);\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",
-       "    {\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.updated_canvas_event = function() {\n",
-       "    // Called whenever the canvas gets updated.\n",
-       "    this.send_message(\"ack\", {});\n",
-       "}\n",
-       "\n",
-       "// A function to construct a web socket function for onmessage handling.\n",
-       "// Called in the figure constructor.\n",
-       "mpl.figure.prototype._make_on_message_function = function(fig) {\n",
-       "    return function socket_on_message(evt) {\n",
-       "        if (evt.data instanceof Blob) {\n",
-       "            /* FIXME: We get \"Resource interpreted as Image but\n",
-       "             * transferred with MIME type text/plain:\" errors on\n",
-       "             * Chrome.  But how to set the MIME type?  It doesn't seem\n",
-       "             * to be part of the websocket stream */\n",
-       "            evt.data.type = \"image/png\";\n",
-       "\n",
-       "            /* Free the memory for the previous frames */\n",
-       "            if (fig.imageObj.src) {\n",
-       "                (window.URL || window.webkitURL).revokeObjectURL(\n",
-       "                    fig.imageObj.src);\n",
-       "            }\n",
-       "\n",
-       "            fig.imageObj.src = (window.URL || window.webkitURL).createObjectURL(\n",
-       "                evt.data);\n",
-       "            fig.updated_canvas_event();\n",
-       "            fig.waiting = false;\n",
-       "            return;\n",
-       "        }\n",
-       "        else if (typeof evt.data === 'string' && evt.data.slice(0, 21) == \"data:image/png;base64\") {\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(\"No handler for the '\" + msg_type + \"' message type: \", msg);\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(\"Exception inside the 'handler_\" + msg_type + \"' callback:\", e, e.stack, msg);\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",
-       "    if (e.target)\n",
-       "        targ = e.target;\n",
-       "    else if (e.srcElement)\n",
-       "        targ = e.srcElement;\n",
-       "    if (targ.nodeType == 3) // defeat Safari bug\n",
-       "        targ = targ.parentNode;\n",
-       "\n",
-       "    // jQuery normalizes the pageX and pageY\n",
-       "    // pageX,Y are the mouse positions relative to the document\n",
-       "    // offset() returns the position of the element relative to the document\n",
-       "    var x = e.pageX - $(targ).offset().left;\n",
-       "    var y = e.pageY - $(targ).offset().top;\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",
-       "    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",
-       "    {\n",
-       "        this.canvas.focus();\n",
-       "        this.canvas_div.focus();\n",
-       "    }\n",
-       "\n",
-       "    var x = canvas_pos.x;\n",
-       "    var y = canvas_pos.y;\n",
-       "\n",
-       "    this.send_message(name, {x: x, y: y, button: event.button,\n",
-       "                             step: event.step,\n",
-       "                             guiEvent: simpleKeys(event)});\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",
-       "\n",
-       "    // Prevent repeat events\n",
-       "    if (name == 'key_press')\n",
-       "    {\n",
-       "        if (event.which === this._key)\n",
-       "            return;\n",
-       "        else\n",
-       "            this._key = event.which;\n",
-       "    }\n",
-       "    if (name == 'key_release')\n",
-       "        this._key = null;\n",
-       "\n",
-       "    var value = '';\n",
-       "    if (event.ctrlKey && event.which != 17)\n",
-       "        value += \"ctrl+\";\n",
-       "    if (event.altKey && event.which != 18)\n",
-       "        value += \"alt+\";\n",
-       "    if (event.shiftKey && event.which != 16)\n",
-       "        value += \"shift+\";\n",
-       "\n",
-       "    value += 'k';\n",
-       "    value += event.which.toString();\n",
-       "\n",
-       "    this._key_event_extra(event, name);\n",
-       "\n",
-       "    this.send_message(name, {key: value,\n",
-       "                             guiEvent: simpleKeys(event)});\n",
-       "    return false;\n",
-       "}\n",
-       "\n",
-       "mpl.figure.prototype.toolbar_button_onclick = function(name) {\n",
-       "    if (name == 'download') {\n",
-       "        this.handle_save(this, null);\n",
-       "    } else {\n",
-       "        this.send_message(\"toolbar_button\", {name: name});\n",
-       "    }\n",
-       "};\n",
-       "\n",
-       "mpl.figure.prototype.toolbar_button_onmouseover = function(tooltip) {\n",
-       "    this.message.textContent = tooltip;\n",
-       "};\n",
-       "mpl.toolbar_items = [[\"Home\", \"Reset original view\", \"fa fa-home icon-home\", \"home\"], [\"Back\", \"Back to  previous view\", \"fa fa-arrow-left icon-arrow-left\", \"back\"], [\"Forward\", \"Forward to next view\", \"fa fa-arrow-right icon-arrow-right\", \"forward\"], [\"\", \"\", \"\", \"\"], [\"Pan\", \"Pan axes with left mouse, zoom with right\", \"fa fa-arrows icon-move\", \"pan\"], [\"Zoom\", \"Zoom to rectangle\", \"fa fa-square-o icon-check-empty\", \"zoom\"], [\"\", \"\", \"\", \"\"], [\"Download\", \"Download plot\", \"fa fa-floppy-o icon-save\", \"download\"]];\n",
-       "\n",
-       "mpl.extensions = [\"eps\", \"jpeg\", \"pdf\", \"png\", \"ps\", \"raw\", \"svg\", \"tif\"];\n",
-       "\n",
-       "mpl.default_extension = \"png\";var comm_websocket_adapter = function(comm) {\n",
-       "    // Create a \"websocket\"-like object which calls the given IPython comm\n",
-       "    // object with the appropriate methods. Currently this is a non binary\n",
-       "    // socket, so there is still some room for performance tuning.\n",
-       "    var ws = {};\n",
-       "\n",
-       "    ws.close = function() {\n",
-       "        comm.close()\n",
-       "    };\n",
-       "    ws.send = function(m) {\n",
-       "        //console.log('sending', m);\n",
-       "        comm.send(m);\n",
-       "    };\n",
-       "    // Register the callback with on_msg.\n",
-       "    comm.on_msg(function(msg) {\n",
-       "        //console.log('receiving', msg['content']['data'], msg);\n",
-       "        // Pass the mpl event to the overriden (by mpl) onmessage function.\n",
-       "        ws.onmessage(msg['content']['data'])\n",
-       "    });\n",
-       "    return ws;\n",
-       "}\n",
-       "\n",
-       "mpl.mpl_figure_comm = function(comm, msg) {\n",
-       "    // This is the function which gets called when the mpl process\n",
-       "    // starts-up an IPython Comm through the \"matplotlib\" channel.\n",
-       "\n",
-       "    var id = msg.content.data.id;\n",
-       "    // Get hold of the div created by the display call when the Comm\n",
-       "    // socket was opened in Python.\n",
-       "    var element = $(\"#\" + id);\n",
-       "    var ws_proxy = comm_websocket_adapter(comm)\n",
-       "\n",
-       "    function ondownload(figure, format) {\n",
-       "        window.open(figure.imageObj.src);\n",
-       "    }\n",
-       "\n",
-       "    var fig = new mpl.figure(id, ws_proxy,\n",
-       "                           ondownload,\n",
-       "                           element.get(0));\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.get(0);\n",
-       "    fig.cell_info = mpl.find_output_cell(\"<div id='\" + id + \"'></div>\");\n",
-       "    if (!fig.cell_info) {\n",
-       "        console.error(\"Failed to find cell for figure\", id, fig);\n",
-       "        return;\n",
-       "    }\n",
-       "\n",
-       "    var output_index = fig.cell_info[2]\n",
-       "    var cell = fig.cell_info[0];\n",
-       "\n",
-       "};\n",
-       "\n",
-       "mpl.figure.prototype.handle_close = function(fig, msg) {\n",
-       "    fig.root.unbind('remove')\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).html('<img src=\"' + dataURL + '\">');\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 dataURL = this.canvas.toDataURL();\n",
-       "    this.cell_info[1]['text/html'] = '<img src=\"' + dataURL + '\">';\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 () { fig.push_to_output() }, 1000);\n",
-       "}\n",
-       "\n",
-       "mpl.figure.prototype._init_toolbar = function() {\n",
-       "    var fig = this;\n",
-       "\n",
-       "    var nav_element = $('<div/>')\n",
-       "    nav_element.attr('style', 'width: 100%');\n",
-       "    this.root.append(nav_element);\n",
-       "\n",
-       "    // Define a callback function for later on.\n",
-       "    function toolbar_event(event) {\n",
-       "        return fig.toolbar_button_onclick(event['data']);\n",
-       "    }\n",
-       "    function toolbar_mouse_event(event) {\n",
-       "        return fig.toolbar_button_onmouseover(event['data']);\n",
-       "    }\n",
-       "\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) { continue; };\n",
-       "\n",
-       "        var button = $('<button class=\"btn btn-default\" href=\"#\" title=\"' + name + '\"><i class=\"fa ' + image + ' fa-lg\"></i></button>');\n",
-       "        button.click(method_name, toolbar_event);\n",
-       "        button.mouseover(tooltip, toolbar_mouse_event);\n",
-       "        nav_element.append(button);\n",
-       "    }\n",
-       "\n",
-       "    // Add the status bar.\n",
-       "    var status_bar = $('<span class=\"mpl-message\" style=\"text-align:right; float: right;\"/>');\n",
-       "    nav_element.append(status_bar);\n",
-       "    this.message = status_bar[0];\n",
-       "\n",
-       "    // Add the close button to the window.\n",
-       "    var buttongrp = $('<div class=\"btn-group inline pull-right\"></div>');\n",
-       "    var button = $('<button class=\"btn btn-mini btn-primary\" href=\"#\" title=\"Stop Interaction\"><i class=\"fa fa-power-off icon-remove icon-large\"></i></button>');\n",
-       "    button.click(function (evt) { fig.handle_close(fig, {}); } );\n",
-       "    button.mouseover('Stop Interaction', toolbar_mouse_event);\n",
-       "    buttongrp.append(button);\n",
-       "    var titlebar = this.root.find($('.ui-dialog-titlebar'));\n",
-       "    titlebar.prepend(buttongrp);\n",
-       "}\n",
-       "\n",
-       "mpl.figure.prototype._root_extra_style = function(el){\n",
-       "    var fig = this\n",
-       "    el.on(\"remove\", function(){\n",
-       "\tfig.close_ws(fig, {});\n",
-       "    });\n",
-       "}\n",
-       "\n",
-       "mpl.figure.prototype._canvas_extra_style = function(el){\n",
-       "    // this is important to make the div 'focusable\n",
-       "    el.attr('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",
-       "    }\n",
-       "    else {\n",
-       "        // location in version 2\n",
-       "        IPython.keyboard_manager.register_events(el);\n",
-       "    }\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",
-       "    // Check for shift+enter\n",
-       "    if (event.shiftKey && event.which == 13) {\n",
-       "        this.canvas_div.blur();\n",
-       "        event.shiftKey = false;\n",
-       "        // Send a \"J\" for go to next cell\n",
-       "        event.which = 74;\n",
-       "        event.keyCode = 74;\n",
-       "        manager.command_mode();\n",
-       "        manager.handle_keydown(event);\n",
-       "    }\n",
-       "}\n",
-       "\n",
-       "mpl.figure.prototype.handle_save = function(fig, msg) {\n",
-       "    fig.ondownload(fig, null);\n",
-       "}\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('matplotlib', mpl.mpl_figure_comm);\n",
-       "}\n"
-      ],
+      "image/png": "iVBORw0KGgoAAAANSUhEUgAAAh8AAACbCAYAAADC4/k2AAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\n8EFERESK4vBBREREiuLwQURERIr6fyq5C/DGwbq5AAAAAElFTkSuQmCC\n",
       "text/plain": [
-       "<IPython.core.display.Javascript object>"
-      ]
-     },
-     "metadata": {},
-     "output_type": "display_data"
-    },
-    {
-     "data": {
-      "text/html": [
-       "<img src=\"data:image/png;base64,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\">"
-      ],
-      "text/plain": [
-       "<IPython.core.display.HTML object>"
+       "<matplotlib.figure.Figure at 0x1cf13202c88>"
       ]
      },
      "metadata": {},
@@ -3882,14 +815,13 @@
     "        result[i] = belief[(i-move) % n]\n",
     "    belief[:] = result # copy back to original array\n",
     "        \n",
-    "with interactive_plot():\n",
-    "    belief = np.array([.35, .1, .2, .3, 0, 0, 0, 0, 0, .05])\n",
-    "    plt.subplot(121)\n",
-    "    bp.bar_plot(belief, title='Before prediction', ylim=(0, .4))\n",
+    "belief = np.array([.35, .1, .2, .3, 0, 0, 0, 0, 0, .05])\n",
+    "plt.subplot(121)\n",
+    "bp.bar_plot(belief, title='Before prediction', ylim=(0, .4))\n",
     "\n",
-    "    perfect_predict(belief, 1)\n",
-    "    plt.subplot(122)\n",
-    "    bp.bar_plot(belief, title='After prediction', ylim=(0, .4))"
+    "perfect_predict(belief, 1)\n",
+    "plt.subplot(122)\n",
+    "bp.bar_plot(belief, title='After prediction', ylim=(0, .4))"
    ]
   },
   {
@@ -4688,13 +1620,19 @@
    "source": [
     "import time\n",
     "\n",
+    "%matplotlib notebook\n",
+    "set_figsize(y=2)\n",
     "fig = plt.figure()\n",
     "for _ in range(50):\n",
     "    perfect_predict(belief, 1) # Simon takes one step to the right\n",
     "    plt.cla()\n",
     "    bp.bar_plot(belief, ylim=(0, .4))\n",
     "    fig.canvas.draw()\n",
-    "    time.sleep(0.05)"
+    "    time.sleep(0.05)\n",
+    "    \n",
+    "# reset to noninteractive plot settings\n",
+    "%matplotlib inline\n",
+    "set_figsize(y=2)"
    ]
   },
   {
@@ -4755,775 +1693,9 @@
    "outputs": [
     {
      "data": {
-      "application/javascript": [
-       "/* Put everything inside the global mpl namespace */\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('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",
-       "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 = $('<div/>');\n",
-       "    this._root_extra_style(this.root)\n",
-       "    this.root.attr('style', 'display: inline-block');\n",
-       "\n",
-       "    $(parent_element).append(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",
-       "            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",
-       "        this.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 = $(\n",
-       "        '<div class=\"ui-dialog-titlebar ui-widget-header ui-corner-all ' +\n",
-       "        'ui-helper-clearfix\"/>');\n",
-       "    var titletext = $(\n",
-       "        '<div class=\"ui-dialog-title\" style=\"width: 100%; ' +\n",
-       "        'text-align: center; padding: 3px;\"/>');\n",
-       "    titlebar.append(titletext)\n",
-       "    this.root.append(titlebar);\n",
-       "    this.header = titletext[0];\n",
-       "}\n",
-       "\n",
-       "\n",
-       "\n",
-       "mpl.figure.prototype._canvas_extra_style = function(canvas_div) {\n",
-       "\n",
-       "}\n",
-       "\n",
-       "\n",
-       "mpl.figure.prototype._root_extra_style = function(canvas_div) {\n",
-       "\n",
-       "}\n",
-       "\n",
-       "mpl.figure.prototype._init_canvas = function() {\n",
-       "    var fig = this;\n",
-       "\n",
-       "    var canvas_div = $('<div/>');\n",
-       "\n",
-       "    canvas_div.attr('style', 'position: relative; clear: both; outline: 0');\n",
-       "\n",
-       "    function canvas_keyboard_event(event) {\n",
-       "        return fig.key_event(event, event['data']);\n",
-       "    }\n",
-       "\n",
-       "    canvas_div.keydown('key_press', canvas_keyboard_event);\n",
-       "    canvas_div.keyup('key_release', canvas_keyboard_event);\n",
-       "    this.canvas_div = canvas_div\n",
-       "    this._canvas_extra_style(canvas_div)\n",
-       "    this.root.append(canvas_div);\n",
-       "\n",
-       "    var canvas = $('<canvas/>');\n",
-       "    canvas.addClass('mpl-canvas');\n",
-       "    canvas.attr('style', \"left: 0; top: 0; z-index: 0; outline: 0\")\n",
-       "\n",
-       "    this.canvas = canvas[0];\n",
-       "    this.context = canvas[0].getContext(\"2d\");\n",
-       "\n",
-       "    var rubberband = $('<canvas/>');\n",
-       "    rubberband.attr('style', \"position: absolute; left: 0; top: 0; z-index: 1;\")\n",
-       "\n",
-       "    var pass_mouse_events = true;\n",
-       "\n",
-       "    canvas_div.resizable({\n",
-       "        start: function(event, ui) {\n",
-       "            pass_mouse_events = false;\n",
-       "        },\n",
-       "        resize: function(event, ui) {\n",
-       "            fig.request_resize(ui.size.width, ui.size.height);\n",
-       "        },\n",
-       "        stop: function(event, ui) {\n",
-       "            pass_mouse_events = true;\n",
-       "            fig.request_resize(ui.size.width, ui.size.height);\n",
-       "        },\n",
-       "    });\n",
-       "\n",
-       "    function mouse_event_fn(event) {\n",
-       "        if (pass_mouse_events)\n",
-       "            return fig.mouse_event(event, event['data']);\n",
-       "    }\n",
-       "\n",
-       "    rubberband.mousedown('button_press', mouse_event_fn);\n",
-       "    rubberband.mouseup('button_release', mouse_event_fn);\n",
-       "    // Throttle sequential mouse events to 1 every 20ms.\n",
-       "    rubberband.mousemove('motion_notify', mouse_event_fn);\n",
-       "\n",
-       "    rubberband.mouseenter('figure_enter', mouse_event_fn);\n",
-       "    rubberband.mouseleave('figure_leave', mouse_event_fn);\n",
-       "\n",
-       "    canvas_div.on(\"wheel\", function (event) {\n",
-       "        event = event.originalEvent;\n",
-       "        event['data'] = 'scroll'\n",
-       "        if (event.deltaY < 0) {\n",
-       "            event.step = 1;\n",
-       "        } else {\n",
-       "            event.step = -1;\n",
-       "        }\n",
-       "        mouse_event_fn(event);\n",
-       "    });\n",
-       "\n",
-       "    canvas_div.append(canvas);\n",
-       "    canvas_div.append(rubberband);\n",
-       "\n",
-       "    this.rubberband = rubberband;\n",
-       "    this.rubberband_canvas = rubberband[0];\n",
-       "    this.rubberband_context = rubberband[0].getContext(\"2d\");\n",
-       "    this.rubberband_context.strokeStyle = \"#000000\";\n",
-       "\n",
-       "    this._resize_canvas = function(width, height) {\n",
-       "        // Keep the size of the canvas, canvas container, and rubber band\n",
-       "        // canvas in synch.\n",
-       "        canvas_div.css('width', width)\n",
-       "        canvas_div.css('height', height)\n",
-       "\n",
-       "        canvas.attr('width', width);\n",
-       "        canvas.attr('height', height);\n",
-       "\n",
-       "        rubberband.attr('width', width);\n",
-       "        rubberband.attr('height', height);\n",
-       "    }\n",
-       "\n",
-       "    // Set the figure to an initial 600x600px, this will subsequently be updated\n",
-       "    // upon first draw.\n",
-       "    this._resize_canvas(600, 600);\n",
-       "\n",
-       "    // Disable right mouse context menu.\n",
-       "    $(this.rubberband_canvas).bind(\"contextmenu\",function(e){\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 nav_element = $('<div/>')\n",
-       "    nav_element.attr('style', 'width: 100%');\n",
-       "    this.root.append(nav_element);\n",
-       "\n",
-       "    // Define a callback function for later on.\n",
-       "    function toolbar_event(event) {\n",
-       "        return fig.toolbar_button_onclick(event['data']);\n",
-       "    }\n",
-       "    function toolbar_mouse_event(event) {\n",
-       "        return fig.toolbar_button_onmouseover(event['data']);\n",
-       "    }\n",
-       "\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",
-       "            // put a spacer in here.\n",
-       "            continue;\n",
-       "        }\n",
-       "        var button = $('<button/>');\n",
-       "        button.addClass('ui-button ui-widget ui-state-default ui-corner-all ' +\n",
-       "                        'ui-button-icon-only');\n",
-       "        button.attr('role', 'button');\n",
-       "        button.attr('aria-disabled', 'false');\n",
-       "        button.click(method_name, toolbar_event);\n",
-       "        button.mouseover(tooltip, toolbar_mouse_event);\n",
-       "\n",
-       "        var icon_img = $('<span/>');\n",
-       "        icon_img.addClass('ui-button-icon-primary ui-icon');\n",
-       "        icon_img.addClass(image);\n",
-       "        icon_img.addClass('ui-corner-all');\n",
-       "\n",
-       "        var tooltip_span = $('<span/>');\n",
-       "        tooltip_span.addClass('ui-button-text');\n",
-       "        tooltip_span.html(tooltip);\n",
-       "\n",
-       "        button.append(icon_img);\n",
-       "        button.append(tooltip_span);\n",
-       "\n",
-       "        nav_element.append(button);\n",
-       "    }\n",
-       "\n",
-       "    var fmt_picker_span = $('<span/>');\n",
-       "\n",
-       "    var fmt_picker = $('<select/>');\n",
-       "    fmt_picker.addClass('mpl-toolbar-option ui-widget ui-widget-content');\n",
-       "    fmt_picker_span.append(fmt_picker);\n",
-       "    nav_element.append(fmt_picker_span);\n",
-       "    this.format_dropdown = fmt_picker[0];\n",
-       "\n",
-       "    for (var ind in mpl.extensions) {\n",
-       "        var fmt = mpl.extensions[ind];\n",
-       "        var option = $(\n",
-       "            '<option/>', {selected: fmt === mpl.default_extension}).html(fmt);\n",
-       "        fmt_picker.append(option)\n",
-       "    }\n",
-       "\n",
-       "    // Add hover states to the ui-buttons\n",
-       "    $( \".ui-button\" ).hover(\n",
-       "        function() { $(this).addClass(\"ui-state-hover\");},\n",
-       "        function() { $(this).removeClass(\"ui-state-hover\");}\n",
-       "    );\n",
-       "\n",
-       "    var status_bar = $('<span class=\"mpl-message\"/>');\n",
-       "    nav_element.append(status_bar);\n",
-       "    this.message = status_bar[0];\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",
-       "\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",
-       "\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]);\n",
-       "        fig.send_message(\"refresh\", {});\n",
-       "    };\n",
-       "}\n",
-       "\n",
-       "mpl.figure.prototype.handle_rubberband = function(fig, msg) {\n",
-       "    var x0 = msg['x0'];\n",
-       "    var y0 = fig.canvas.height - msg['y0'];\n",
-       "    var x1 = msg['x1'];\n",
-       "    var y1 = fig.canvas.height - msg['y1'];\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, 0, fig.canvas.width, fig.canvas.height);\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",
-       "    {\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.updated_canvas_event = function() {\n",
-       "    // Called whenever the canvas gets updated.\n",
-       "    this.send_message(\"ack\", {});\n",
-       "}\n",
-       "\n",
-       "// A function to construct a web socket function for onmessage handling.\n",
-       "// Called in the figure constructor.\n",
-       "mpl.figure.prototype._make_on_message_function = function(fig) {\n",
-       "    return function socket_on_message(evt) {\n",
-       "        if (evt.data instanceof Blob) {\n",
-       "            /* FIXME: We get \"Resource interpreted as Image but\n",
-       "             * transferred with MIME type text/plain:\" errors on\n",
-       "             * Chrome.  But how to set the MIME type?  It doesn't seem\n",
-       "             * to be part of the websocket stream */\n",
-       "            evt.data.type = \"image/png\";\n",
-       "\n",
-       "            /* Free the memory for the previous frames */\n",
-       "            if (fig.imageObj.src) {\n",
-       "                (window.URL || window.webkitURL).revokeObjectURL(\n",
-       "                    fig.imageObj.src);\n",
-       "            }\n",
-       "\n",
-       "            fig.imageObj.src = (window.URL || window.webkitURL).createObjectURL(\n",
-       "                evt.data);\n",
-       "            fig.updated_canvas_event();\n",
-       "            fig.waiting = false;\n",
-       "            return;\n",
-       "        }\n",
-       "        else if (typeof evt.data === 'string' && evt.data.slice(0, 21) == \"data:image/png;base64\") {\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(\"No handler for the '\" + msg_type + \"' message type: \", msg);\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(\"Exception inside the 'handler_\" + msg_type + \"' callback:\", e, e.stack, msg);\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",
-       "    if (e.target)\n",
-       "        targ = e.target;\n",
-       "    else if (e.srcElement)\n",
-       "        targ = e.srcElement;\n",
-       "    if (targ.nodeType == 3) // defeat Safari bug\n",
-       "        targ = targ.parentNode;\n",
-       "\n",
-       "    // jQuery normalizes the pageX and pageY\n",
-       "    // pageX,Y are the mouse positions relative to the document\n",
-       "    // offset() returns the position of the element relative to the document\n",
-       "    var x = e.pageX - $(targ).offset().left;\n",
-       "    var y = e.pageY - $(targ).offset().top;\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",
-       "    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",
-       "    {\n",
-       "        this.canvas.focus();\n",
-       "        this.canvas_div.focus();\n",
-       "    }\n",
-       "\n",
-       "    var x = canvas_pos.x;\n",
-       "    var y = canvas_pos.y;\n",
-       "\n",
-       "    this.send_message(name, {x: x, y: y, button: event.button,\n",
-       "                             step: event.step,\n",
-       "                             guiEvent: simpleKeys(event)});\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",
-       "\n",
-       "    // Prevent repeat events\n",
-       "    if (name == 'key_press')\n",
-       "    {\n",
-       "        if (event.which === this._key)\n",
-       "            return;\n",
-       "        else\n",
-       "            this._key = event.which;\n",
-       "    }\n",
-       "    if (name == 'key_release')\n",
-       "        this._key = null;\n",
-       "\n",
-       "    var value = '';\n",
-       "    if (event.ctrlKey && event.which != 17)\n",
-       "        value += \"ctrl+\";\n",
-       "    if (event.altKey && event.which != 18)\n",
-       "        value += \"alt+\";\n",
-       "    if (event.shiftKey && event.which != 16)\n",
-       "        value += \"shift+\";\n",
-       "\n",
-       "    value += 'k';\n",
-       "    value += event.which.toString();\n",
-       "\n",
-       "    this._key_event_extra(event, name);\n",
-       "\n",
-       "    this.send_message(name, {key: value,\n",
-       "                             guiEvent: simpleKeys(event)});\n",
-       "    return false;\n",
-       "}\n",
-       "\n",
-       "mpl.figure.prototype.toolbar_button_onclick = function(name) {\n",
-       "    if (name == 'download') {\n",
-       "        this.handle_save(this, null);\n",
-       "    } else {\n",
-       "        this.send_message(\"toolbar_button\", {name: name});\n",
-       "    }\n",
-       "};\n",
-       "\n",
-       "mpl.figure.prototype.toolbar_button_onmouseover = function(tooltip) {\n",
-       "    this.message.textContent = tooltip;\n",
-       "};\n",
-       "mpl.toolbar_items = [[\"Home\", \"Reset original view\", \"fa fa-home icon-home\", \"home\"], [\"Back\", \"Back to  previous view\", \"fa fa-arrow-left icon-arrow-left\", \"back\"], [\"Forward\", \"Forward to next view\", \"fa fa-arrow-right icon-arrow-right\", \"forward\"], [\"\", \"\", \"\", \"\"], [\"Pan\", \"Pan axes with left mouse, zoom with right\", \"fa fa-arrows icon-move\", \"pan\"], [\"Zoom\", \"Zoom to rectangle\", \"fa fa-square-o icon-check-empty\", \"zoom\"], [\"\", \"\", \"\", \"\"], [\"Download\", \"Download plot\", \"fa fa-floppy-o icon-save\", \"download\"]];\n",
-       "\n",
-       "mpl.extensions = [\"eps\", \"jpeg\", \"pdf\", \"png\", \"ps\", \"raw\", \"svg\", \"tif\"];\n",
-       "\n",
-       "mpl.default_extension = \"png\";var comm_websocket_adapter = function(comm) {\n",
-       "    // Create a \"websocket\"-like object which calls the given IPython comm\n",
-       "    // object with the appropriate methods. Currently this is a non binary\n",
-       "    // socket, so there is still some room for performance tuning.\n",
-       "    var ws = {};\n",
-       "\n",
-       "    ws.close = function() {\n",
-       "        comm.close()\n",
-       "    };\n",
-       "    ws.send = function(m) {\n",
-       "        //console.log('sending', m);\n",
-       "        comm.send(m);\n",
-       "    };\n",
-       "    // Register the callback with on_msg.\n",
-       "    comm.on_msg(function(msg) {\n",
-       "        //console.log('receiving', msg['content']['data'], msg);\n",
-       "        // Pass the mpl event to the overriden (by mpl) onmessage function.\n",
-       "        ws.onmessage(msg['content']['data'])\n",
-       "    });\n",
-       "    return ws;\n",
-       "}\n",
-       "\n",
-       "mpl.mpl_figure_comm = function(comm, msg) {\n",
-       "    // This is the function which gets called when the mpl process\n",
-       "    // starts-up an IPython Comm through the \"matplotlib\" channel.\n",
-       "\n",
-       "    var id = msg.content.data.id;\n",
-       "    // Get hold of the div created by the display call when the Comm\n",
-       "    // socket was opened in Python.\n",
-       "    var element = $(\"#\" + id);\n",
-       "    var ws_proxy = comm_websocket_adapter(comm)\n",
-       "\n",
-       "    function ondownload(figure, format) {\n",
-       "        window.open(figure.imageObj.src);\n",
-       "    }\n",
-       "\n",
-       "    var fig = new mpl.figure(id, ws_proxy,\n",
-       "                           ondownload,\n",
-       "                           element.get(0));\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.get(0);\n",
-       "    fig.cell_info = mpl.find_output_cell(\"<div id='\" + id + \"'></div>\");\n",
-       "    if (!fig.cell_info) {\n",
-       "        console.error(\"Failed to find cell for figure\", id, fig);\n",
-       "        return;\n",
-       "    }\n",
-       "\n",
-       "    var output_index = fig.cell_info[2]\n",
-       "    var cell = fig.cell_info[0];\n",
-       "\n",
-       "};\n",
-       "\n",
-       "mpl.figure.prototype.handle_close = function(fig, msg) {\n",
-       "    fig.root.unbind('remove')\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).html('<img src=\"' + dataURL + '\">');\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 dataURL = this.canvas.toDataURL();\n",
-       "    this.cell_info[1]['text/html'] = '<img src=\"' + dataURL + '\">';\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 () { fig.push_to_output() }, 1000);\n",
-       "}\n",
-       "\n",
-       "mpl.figure.prototype._init_toolbar = function() {\n",
-       "    var fig = this;\n",
-       "\n",
-       "    var nav_element = $('<div/>')\n",
-       "    nav_element.attr('style', 'width: 100%');\n",
-       "    this.root.append(nav_element);\n",
-       "\n",
-       "    // Define a callback function for later on.\n",
-       "    function toolbar_event(event) {\n",
-       "        return fig.toolbar_button_onclick(event['data']);\n",
-       "    }\n",
-       "    function toolbar_mouse_event(event) {\n",
-       "        return fig.toolbar_button_onmouseover(event['data']);\n",
-       "    }\n",
-       "\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) { continue; };\n",
-       "\n",
-       "        var button = $('<button class=\"btn btn-default\" href=\"#\" title=\"' + name + '\"><i class=\"fa ' + image + ' fa-lg\"></i></button>');\n",
-       "        button.click(method_name, toolbar_event);\n",
-       "        button.mouseover(tooltip, toolbar_mouse_event);\n",
-       "        nav_element.append(button);\n",
-       "    }\n",
-       "\n",
-       "    // Add the status bar.\n",
-       "    var status_bar = $('<span class=\"mpl-message\" style=\"text-align:right; float: right;\"/>');\n",
-       "    nav_element.append(status_bar);\n",
-       "    this.message = status_bar[0];\n",
-       "\n",
-       "    // Add the close button to the window.\n",
-       "    var buttongrp = $('<div class=\"btn-group inline pull-right\"></div>');\n",
-       "    var button = $('<button class=\"btn btn-mini btn-primary\" href=\"#\" title=\"Stop Interaction\"><i class=\"fa fa-power-off icon-remove icon-large\"></i></button>');\n",
-       "    button.click(function (evt) { fig.handle_close(fig, {}); } );\n",
-       "    button.mouseover('Stop Interaction', toolbar_mouse_event);\n",
-       "    buttongrp.append(button);\n",
-       "    var titlebar = this.root.find($('.ui-dialog-titlebar'));\n",
-       "    titlebar.prepend(buttongrp);\n",
-       "}\n",
-       "\n",
-       "mpl.figure.prototype._root_extra_style = function(el){\n",
-       "    var fig = this\n",
-       "    el.on(\"remove\", function(){\n",
-       "\tfig.close_ws(fig, {});\n",
-       "    });\n",
-       "}\n",
-       "\n",
-       "mpl.figure.prototype._canvas_extra_style = function(el){\n",
-       "    // this is important to make the div 'focusable\n",
-       "    el.attr('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",
-       "    }\n",
-       "    else {\n",
-       "        // location in version 2\n",
-       "        IPython.keyboard_manager.register_events(el);\n",
-       "    }\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",
-       "    // Check for shift+enter\n",
-       "    if (event.shiftKey && event.which == 13) {\n",
-       "        this.canvas_div.blur();\n",
-       "        event.shiftKey = false;\n",
-       "        // Send a \"J\" for go to next cell\n",
-       "        event.which = 74;\n",
-       "        event.keyCode = 74;\n",
-       "        manager.command_mode();\n",
-       "        manager.handle_keydown(event);\n",
-       "    }\n",
-       "}\n",
-       "\n",
-       "mpl.figure.prototype.handle_save = function(fig, msg) {\n",
-       "    fig.ondownload(fig, null);\n",
-       "}\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('matplotlib', mpl.mpl_figure_comm);\n",
-       "}\n"
-      ],
+      "image/png": "iVBORw0KGgoAAAANSUhEUgAAAhkAAACbCAYAAADP/YlxAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\nSUVORK5CYII=\n",
       "text/plain": [
-       "<IPython.core.display.Javascript object>"
-      ]
-     },
-     "metadata": {},
-     "output_type": "display_data"
-    },
-    {
-     "data": {
-      "text/html": [
-       "<img src=\"data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAtAAAACgCAYAAAAl6lt0AAAgAElEQVR4Xu2dDbSkRXnnn+rb98p1ZEadGUdGRvQy/VbfudlVIXGU8DFINBxO4KjAxhUQDQPGRLMagoAmjIrrGjRxXeOs6+AX4hqNrAyMJyge4/JhDsc1kWgzt6qHEfADxRkduPI10921p5juzP2ct6r6eatuv/d/z8mJQ9fbTz2/53n/9e/q6m5B+AMBEAABEAABEAABEAABEHAmIJxHYiAIgAAIgAAIgAAIgAAIgADBQKMJQAAEQAAEQAAEQAAEQMCDAAy0BywMBQEQAAEQAAEQAAEQAAEYaPQACIAACIAACIAACIAACHgQgIH2gIWhIAACIAACIAACIAACIAADjR4AARAAARAAARAAARAAAQ8CMNAesDAUBEAABEAABEAABEAABGCg0QMgAAIgAAIgAAIgAAIg4EEABtoDFoaCAAiAAAiAAAiAAAiAAAw0egAEQAAEQAAEQAAEQAAEPAjAQHvAwlAQAAEQAAEQAAEQAAEQgIFGD4AACIAACIAACIAACICABwEYaA9YGAoCIAACIAACIAACIAACMNDogVIR2LBhwzHtdvtH1Wp1VaPR+JVrcrVa7RQhxA6t9ZFSyhONMV/WWq/Nu75Wq71ECPElIcQaInqXUurjedfgcRAAARAAgZkEfHQX7EBgMRCAgV4MVcAc2Ah0DfTuarW6OsBA36y1Xu4zGSnlXxHRGUqpl/tch7EgAAIgAAIgAAKDSwAGenBrh5nPQ6C3A01EW4joYiI6whjzP7TW76/Vak+rVCr/lYjONcaMCCFuefLJJ99x33337evuQD9loOv1+qZOp2P/95E2RL1eP6HT6XxICLHBGPOAEOIqpdT2LMveQ0RXElGFiB6vVCrPm5ycnEJhQAAEQAAEiKwet1qtXUKIy40xVwohOkS0VSn13izL/kkI8SMiehUR/bTT6byz9y5gV3c3GWM+QEQbiOhnxpiPaK232cdmX6uU2gjeIBCbAAx0bOKIVyiBaQb6/0xNTb1hxYoVR3c6nW8KId5jjHkREb240+mc8/SnP/2xxx9//BNCiGVKqddON9DT//f69evXVSqVhhDiYqXUl7MsO4mIvkpEr9Ba3y2ltEb9eKXUWYUmhicHARAAgQEj0NNjY8xNo6Oj5z3xxBPriOhWY8zVRPSfiWjt/v37Nx5xxBHtdrt9nBDiqU2MLMvGhRD/0ul0Lmo2m3+fZdlvW3NNRG/t6vA/Tb8WGxcD1hglmS4MdEkKiTQOEugd4Thw4MALd+/e/YD9b1JKu/vxSiJ6WaVSedXk5OR37H+fmJh4bqvV+lmlUlndarV+qyfe0w20lPKdRPR7Sim7S/LUn5TyfxJRSyn1NhhodB4IgAAIzE+gp8dCiGMnJyfv6+rnFUR0ujHG7kb/q9b6Uvvfp+tulmXvFUKcoJSyuv3UX5Zlf0lEJ2qtT7c70ET0L71rwR8EUhCAgU5BHTELI9ATbKXUUC9IvV4/zxjzLiIaJ6KHjTHGPiaEEMaY4Uqlsqndbi+bz0BnWfZxIcRFxpjHetfYIxvGmG9prV8DA11YKfHEIAACA06gd4RDaz08XY87nY797MjPiOhrWuu/mW2gpZSfsDqrlLpklo6/Wym1oWug7Ye+n7oWfyCQggAMdArqiFkYgWk7HusmJyetQNudi3fb3QwiOtUYc7zWemd3ApV6vV6bnJxs1mq1kxYw0NZ4v0hr/Ye9SWdZ9ryhoaEndu7cuRcGurBS4olBAAQGnMC0D3U/r9Fo/HyaHp9ijKnaYxlKqb+dbaCzLHuXEGLTrHf+thhjTtFav6J7Bvrm3rUDjgnTH1ACMNADWjhMe34C087cfWF0dPSPn3jiiWONMV8noj8RQthjGPYM3hur1eojBw4ceB8RvcEY80J7vGOBIxwvNMZ8zxhzYbPZ3FGr1cYrlcrXhRAfnpyc/CgMNDoRBEAABA6vx0R03WOPPfaWZzzjGce22+1vVCqVyzqdzmarufMZaCml1d0f2A+Ca63tZ0/sGeibjTF/obW+DgYaHbcYCMBAL4YqYA5sBHo7HkT0bmPMZUT0iBDiQ0qprevWrRsdHR19vxDiHCJaboz510ql8l8mJyd/sNCHCLs7JnZ3+hr7hRxEZL9l41qllDXf9jw0PkTIVj08EQiAQJkITPtQ94eNMefZU3NE9GGl1H/PsuxbC+1A93akK5XKX3d195dE9BGr411NnnFtmZghl8EhAAM9OLXCTEEABEAABEBgYAiEfi//wCSIiS5pAiwGularLRdC3NFqtf6g980HPar1en1tp9O53v5SmzHmQSHE65RSe5Y0dSQPAiAAAkwEoL9MIPE07ARCfxmWfSJ4QhAogEDfBrpWq9mzo58UQmQHDhzIZhvoLMu+KoS4QSl1fa1We1OlUnmlUur1BeSCpwQBEACBJUUA+rukyj1wyWIHeuBKhgl7EOjbQGdZ9ikhxKeNMZ9vtVqbphvoTZs2VR988ME9SqmVRNQmoiEp5a+UUs/u/ttjqhgKAiAAAiAwnQD0F/0AAiAAAmkI9G2ge9POsuxHrVbrlOkGemxsbM3w8PB3lVLP742TUj5QrVZf2vtKmzRpIyoIgAAIlIcA9Lc8tUQmIAACg0GgUAM9Pj5+VKfTuWuWgf5xq9U6/t57731oMBBhliAAAiCwuAnMZ6Chv4u7ZpgdCIDAYBMo1EBPO8Jhj2zYn+20RzjskY5VeUc4Wq22GRqqDDbdAZt9o9GgM7fdRiNrjil05vt/cT/dfPHJ9qe0C42DJweBQSBgfxGz33nOZ6D70V87H2hwv1XB9SAAAoNAIFSD+xbuHpz5BNw+lmXZdiHEV5RSn8+y7EIierX9CeQ8qA899IhxXVbsuJUrj6S9e6fo4I80x/1LGZ8z9uTkTtp8+x4aPbpWKMDHf9Kka09aRfW6/WXt8D/O3ENmkTJ+ytiWVcr4KWMXkfvq1cv71mFu/bV5QoPdVKFs/eiW9cFRyB2+owyeK1SD+xbuaQZ6d+9DhFmWbTPGbO/+ctvRlUrlM0R0FBHt7XQ65zWbzZ/k3aRWvPPG9B63N/GqVUfSnj3pDHSq+Jy5WwN98R1xDPS2E3kMdCruvcUjVXzOurveZ9PHpYyfMnYRdX/Oc1gMNKv+9gy0a2+UrSaueRfRDz6xU8dH3eE7UhlozrU3VIPZDLTvTZ83HgY6j9ChHQCuRoKBdmO+GF64YeEqz8IVKt5+3eo/Ghrsxgz3YnnuRbeK86+9PnGx/hx854PL91ieoRoMAx3SubOu4S6mz5Q4Y8NA+5Dnv4l9onPW3ScuxJu/7qHiHVI3n2tgoN1o4V6EgS7DLqxbt5fzxUOoBsNA+3TNAmNTCihnbBhov2bgZO8Xmd/EDVL8lNyLeMs8VLx9a+Y7HgbajVjZ+tEt63IaKeTuRqBsPR+qwTDQbv1y2FEpm4kzNgy0XzNwsveLDAPN+fZdavah4u07b9/xMNBuxFLqQBEv6NyyhoFG3cvzzkOoBsNA+6gFdqAZaBHZb+HAhwj7Qwnxhnj310H5V8NA5zNKbWBTx4cOlUeH3Lq9nC+cYKDxLRx9f4UfdqB9JCTtLjAWrvIsXKHi7det/qNhoN2Y4V4sz73oVvFymsilnHuoBmMH2qdrsAPNQAs70BwQsWiXZ9EOFW+OPjrcc8BAuxHGvViee9Gt4jDQZev5UA2Ggfa5Y2CgGWjBQHNALJuA+TApW+6h4u3DLGQsDLQbtbL1o1vWMJGoe3leOIVqMAy0j1rAQDPQgoHmgAjxhnhz9BF2oPuniHuxPPeiTzeg7uWpOww0zkDjDLSP+jGMTSmgKWNbdCnjp4xdRO6h4s3Qwod9CuxAuxEuWz+6ZY0daNQdBho70D5qgR1oBlrYgeaACPGGeHP0EXag+6eIe7E896JPN6Du5al76CYGDLTPHQMDzUALBpoDIsQb4s3RRzDQ/VPEvViee9GnG1D38tQ9mYGWUp5LRFuMMcNCiOuVUldPb8INGzYc0263ryOi5caYfZ1O5w27du36cV6j4u3DPEL8b6Hha+zcmPdGpRTQlLGLOMbgQ75suYeKd48ZNBhHilL9sFDZ7sWlrENLOfdQDe5rB3psbGxNtVq9a3h4+LhGo/GwlPKWTqdzTbPZvLVXjCzLrjPGfKfZbH4iy7K3EtFGrfUFecWCgc4jBAMN8S7PDoBbt/P3vE/col44hYq3nQ80OH1PQIegQ8aEKEl/16Tsu5Sxi9jACdXgvgy0lPJ8Y8ypWuuLbFJSyguMMadorTdPM9DXE9HdWusPZVl2mRBivVLqzXmtAwOdR4h/4cAOtBvzooyUT/SyCdhSzj1UvLuaCw3Gh1oJO9BTfX+I3keDijBxgxS/bOtPqAb3a6AvN8Ys01pf1RXz04wxl2mtT59moMeEEN8hohYRVY0xJ2itd+c1Cwx0HiEY6LLdxG4V56+7T1y8eOA/LhAq3l3NhQbDQMNA74GBDtHx0GvKtvaGanBfBjrLsiuJaHSWgb5Ua33GNAN9uzHmr5vN5o4sy15LRO/RWv/HvMJZA22L5PJnx61ceSTt3Rv/Juq9Ek0VnzN3uwO9+fY9NHp0zQV78JjHf9Kka09aRfX6ePBzpOaeOj5n3UOKkDJ+ythF1H316uWOSje3UtDgQy8oy6DBS/lebLVatGtX0wuB1YJnPnMZ7dv3qPMO9Pr1NapWq15x5htcNh3yAVK23EM1OFi4u7sfM45s2CMdRHSyUuqS7uOrjDE7tdare8WRUj5UqVTGd+7cufdwBWu12mZoqOJTU4ztk0Cj0aCzb7o/ioG+4axjaGJios8Z43IQGHwCQrhuFczNdfaxOWjw4PfDUs3Arj9nbruNRtYcUxiC/b+4n26++GSsPYURHswnDtXgvgz0+Pj4Ue12+05jzMYVK1bsm5qa2kFEW5VS26cZ5geMMedrrW+TUv4uEV2nlDo2DzN2oPMI8e+8YAfajXlvVMpX4SljF7EL60O+bLmH7n5YZtBgfh306cXU90Lq+Jz3Yoz1h+vdz9TcU8fnrLvv/VZE7qEa3JeBtonUarWzhRBbiGiEiG7UWl+RZdk2Y8x2e2yjXq//tjHm74wxo0Q0RURv1Vp/Pw8azkDnETq0cHB9gAQfInRjPt1Ac7H3i8x/DneQ4uP83cxqQYPT3g9l60cfLeDMPcb6Yw30thP7Pz7YM3Gp9D91fM66+/RbUWtvkjPQIYm7XgMD7UaKs5FjCJjNikvEOHN3oz1zVMr4KWNDvIn1Q1uh4h3Ssz7XQIPdaOFe5PkauxjrD9fak1oDU8cvW8+HanDfO9BuEuM/CuLtxoyzkWMIGAy0W13zRnHWPS/WfI+njJ8ydhELV6h4h9TN5xposButsvWjW9YHR3HmHmP9gYH2qe7CYznrHjIj7vihGgwDHVK9WddwF9NnSpyxYwgYDLRPdZeOgPlQ4ex5n7i9sdzxQ8U7ZO4+18BAu9Hi7ge3qIdGpYzPGTvG+gMD7dtd84/nrHvIjLjjh2owDHRI9WCg+6LGJWLcN5FvUinjp4zNvfM0SNyLyD1UvH25+Y6HgXYjhnsRRzjwS4Ru9wrXKO57LlSDYaAZKspdTJ8pccaOsQOAHWif6mIHej4CnD0fUg3u+KHiHTJ3n2tgoN1ocfeDW1TsQPty4lx7ingh7ZtPyr5LGbsI9qEaDAPt27XzjE/ZTJyxYaD9moGTvV9k3rOHvrGLEDCfOaTkXkTuoeLtwyxkLAy0G7Wy9aNb1gdHceYeY/3heveTO3cf5r2xnOx946eMXQT7UA2GgfbtHBjovolxiVjZbmIfsMid521jH+ZFLVyh4h0yd59rYKDdaOFe5LkXYaDd+q0oHfKJXraeD9VgGGifrllgbMpm4owdQ8AsQhjo/puOs+4hs0kZP2XsxbT7EVI3n2tgoN1ola0f3bLGDjTqzvPCyaffinrxAAO9qjzF9GkozpsYBtqHPO/bl36R08YuwkT65M/Z8z5xF5t4h8zd5xoYaDdaZetHt6xhoFH38nguGGgYaOr3k8Aw0D5LR1oTC/GGePt1q/9oGGg3ZrgXee7FGOsP17ufqTcRUscvW8/DQMNAw0C7rXdso1KKSMrYEG/8EuHsmwj9yGMiQ8QpJXvO2DDQftXnZO8XOe3mURHrDww0DDQMtK8K9DkeApbGNKTkvpjEu8/2zb0cO9C5iJ4aULZ+dMsaRzhQ9zT6X8Q9l8xASynPJaItxphhIcT1Sqmrp9+AExMTz221WtcS0fOMMb+pVqvn33PPPffn3aQQ7zxCgylgdtZcb6NBwMojYG7dzt/zPnF7Y7n7LlS8e/OBBqc1sdz94NuTKeNzxsYOtF/lOdn7RU57v5XGQI+Nja2pVqt3DQ8PH9doNB6WUt7S6XSuaTabt04T91uNMV/WWm/LsuwSIjpNa/2HeQWDgc4jxG8mYggYDLRbXfNGpRTPIgQsL9/pj5ct934MNDSYXwd9ejH1vZA6Pue9GGP94dq8Sc09dXzOuvveb0XkHqrBfX2NnZTyfGPMqVrri2xSUsoLjDGnaK0323+Pj4+v7HQ69yil1th/T0xMjOzfv39ds9m8Nw8aDHQeIf6FI4aAwUC71TVvVNkELC9fGOj5CUGD+XXQpxeLWMwHKT6nDsVYf2Cgfbtr/vGcdQ+ZEXf8VAb6cmPMMq31VV0DfZox5jKt9en231mWvZSIPk5EtwkhTiOiB9rt9p/u2rXrx3nQYKDzCPEvHDEEDAbara55o7gFJC/e7MdTxk8ZuwjDFCreXc2FBic+h1y2fvTRAs7cY6w/MNA+1V14LGfdQ2bEHT9Ug/vagc6y7EoiGp1loC/VWp9hodTr9ROMMXd0Op2zms3mDinlRcaY87XWp+ZBswbaQnL5s+NWrjyS9u6d6vuDdC7x5jMTqeJz5m4FbPPte2j06FoIBudrrIhde9IqqtfHna+ZbyBn7iETSRk/ZeyeiSxDzy+Guq9evdxR6ebOFhp8aCMB/Rh//ePUoRjrD9fak1oDU8fnrPsga3CwcHd3P2Yc2bBvJxLRyUope9bZ7kCPEdH3tdbL7b/XrVs3Ojo6+kut9TPyoLVabTM0VMkbhscZCTQaDTr7pvujGOgbzjrGHulhnD2eCgQGk4AQrlsFc/ObfWwOGjyYPYBZE8VYf6yBxtqDbpu7CRqmwX0Z6PHx8aPa7fadxpiNK1as2Dc1NbWDiLYqpbb3Jiil/KEx5nKt9dfq9fo5xpg/U0qdnFdC7EDnEeLfeYmxA2BnzbULULZXwW4V56+7T9ze2JTsU8YuYuennx1oaHD6+6Fs/eijB5y5x1h/uNaeInTAh3vq+Jx19827iNxDNbgvA20TqdVqZwshthDRCBHdqLW+IsuybcaY7fbYxoYNG2qtVuuTRLSKiB7pdDoX7tq1a1ceNJyBziN0aOFYxfQd2DHOoPUM9LYTeY5wcOXuRnvmKO5zWD5zSBm7J2Cp2Jct99Dzd71+gQan/VqtsvVjKh2Ksf7gDLRPdRceW7aeD9Xgvg00TznmPgsMtBtZzkaOIWAw0G51zRvFWfe8WPM9njJ+ythFvHgIFe+QuvlcAw12o1W2fnTLejA3cGCgfaoLA51HCwY6j5DD4ykFlDM2DLRDsacN4WTvFzntjlsRJtIn/5Tci8gdBtqn+vOPTdkTKWMX0Y8+1eDMPcb6AwPtU10Y6DxaMNB5hBwe5xQRh3AzhnDGjiFgdvJcIsaZuy/3Mi1cyN2PAHffwUD78Z9vNHdNfGaUMnaZdCjG+sO19qTmnjp+2Xo+VINhoH2UcoGxKZuJM3YMAYOBZmi4xN97C/Em4jz/HSrePJ208LPgCIcbYU4Ndos4c1TK+JyxY6w/MNAhHTb3Gs66h8yIO36oBsNAh1Rv1jXcxfSZEmfsGAIGA+1T3YXHctY9ZEYp46eMXcSLh1DxDqmbzzUw0G60ytaPblkfHMWZe4z1Bwbap7pLZ/0J1WAYaIZ+4hQR3+lwxo4hYDDQvhWefzxn3UNmlDJ+ytjcpsE+X6h4h9TN5xoYaDdaZetHt6xhoFH3I2nPnvg/3rOYNBgG2kctFhib8kbijA0D7dcMnOz9IvPu/PjGLkLAfOaQknsRucNA+1R/8b2gLFs/+lSDM/cY6w92oH2qix3oPFow0HmEHB7nFBGHcDOGcMaOIWDYgfat8OIzDEWYSB8qnD3vE7c3ljs+DHRIFWZew10TnxmljF2mezHG+gMD7dPZMNB5tGCg8wg5PJ5SQDljxxAwGGiHhnIYwll3h3BzhqSMnzJ2EYYFBjqkA2Ggi3pB51MNznsxxvoDA+1TXRjoPFow0HmEHB7nFBGHcDOGcMaOIWAw0L4Vnn88Z91DZpQyfsrYMNDox9kEytaPPnrAmXuM9QcG2qe6MNB5tGCg8wg5PM4pIg7hYKC7BFJyL8JI+dQeueMDLD79EjIWHyJ0o4Z7kedehIF267eyvfPgl/XB0dz3XOi7gH0baCnluUS0xRgzLIS4Xil19XxAarXaSyqVyj8rpY5wAQbxdqHE20gxBAw70G51zRvFLSB58RbTrlvZcg8V715NoMG8OjhI90IRZsInf857Mcb6gx1on+piBzqPVl8GemxsbE21Wr1reHj4uEaj8bCU8pZOp3NNs9m8dXrgdevWjY6Ojt4qhHi5Umoob1L2cRhoF0q8C0cMAYOBdqtr3ijOhSsv1nyPp4yfMnYRhqUfAw0NLmZHyueeKFs/pso9xvoDA+1TXRjoPFp9GWgp5fnGmFO11hfZQFLKC4wxp2itN08PnGXZViL6phDiH2Cg80ri9zineMcQMBhov/ouNJqz7iEzShk/ZezFZqChwTDQKe8Hztgx1h8Y6BC1n3sNZ91DZsQdP3QTo18DfbkxZpnW+qqugT7NGHOZ1vr0HpRarXZmpVJ5jVLqj6SUHaVUxQUYdqBdKGEHmvMnld2IHxrFfRP7xE8ZuwgTuZRzDxXvruZCgws4E7mU+zFV7jDQPuR5136/yGljF7H+hGpwXwY6y7IriWh0loG+VGt9hk3Svr04PDx8U7VaPa3RaPxGStn22YG2JsHlz45bufJI2rs33a/ipIrPmbsVsM2376HRo2su2IPH2F2Aa09aRfX6ePBz9G6iVNxTx+ese0gRUsZPGbuIuq9evdxR6eZWChp8aAc6lRaUrR999IAz9xjrD9faU4QO+HBPHZ+z7r55F5F7qAYHC3d392PGkQ37diIRnayUuqT7uD3acQURTdlNAiJ6ERF9v9PpbGo2m48cDlyr1TZDQ06b1SH8cc08BBqNBp190/1RDPQNZx1DExMTqAMILHkCQrhuFcxFNfvYHDR4ybfTwAKIsf5YA421Z2BbpLCJh2pwXwZ6fHz8qHa7facxZuOKFSv2TU1N7SCirUqp7fNl6nuEw3VZKdurIZ8u4cw9xg6AzY1rF4Azdx/mvbEp46eMXcQOgA//suUeuvthmUGDsQOd8n7gjB1j/eFae1JrYOr4nHX30f6i1t5QDe7LQNtkarXa2UKILUQ0QkQ3aq2vyLJsmzFme7PZtIb63/98j3C4gsV50MH5Hs6egd52Is8RDpyBTndsKRX7st3voefvevoIDU57JrNs/ei67vZMHJcO4Ay0D3n0PFffWeqhGty3gfYruftofIjQjRWneMcQMBhot7rmjeKse16s+R5PGT9lbG7T0I94h9TN5xposButsvWjW9aHdv65jEyM9QffwuFT3YXHlq3nYaBX8ezChrRXymbijB1DwGCgQzps7jWcdQ+ZUcr4KWPDQM/fLWWric89gdx51t4Y6w8MtE9nw0Dn0cIOdB4hh8dTCihn7BgCBgPt0FAOQzjr7hBuzpCU8VPGhoGGgZ5NoGz96KMHnLnHWH9goH2qCwOdRwsGOo+Qw+OcIuIQbsYQztgxBAwG2rfCMCxlNyyhbx/ydNLCz4IjHG6EOTXYLeLMUSnjc8aOsf7AQId02NxrOOseMiPu+KEaDAMdUr1Z13AX02dKnLFjCBgMtE91l84OgA8Vzp73idsbyx0/VLxD5u5zDQy0Gy3ufnCLemhUyvicsWOsPzDQvt21NDZwQjUYBpqhnzhFxHc6nLFjCBgMtG+Fl4aA+VDh7HmfuDDQeEE3H4Gy9aPPPcGZe4z1Bwbap7pL536HgcaHCMmY/m6OGAIGA91fjYoycb6z4lw4Bym2nSt37qHi7cvNdzx2oN2IcfeDW1TsQPty4lx7itAB33xS9l3K2EWwD9Vg7ED7du0841M2E2dsGGi/ZuBk7xeZ38QNUvyU3BeTePvWzHc8DLQbsbL1o1vWB0dx5h5j/cEOtE91sQOdRwsGOo+Qw+OcIuIQbsYQztgxBIxzF4Azd1/u3IuHb3zkzvPVWb7ci6h76O5HyNx9roGBdqOFe5HnXoyx/sBAu/V03qiy9XyoBsNA53WKw+Mpm4kzdgwBg4F2aCiHIZx1dwg3Z0jK+Cljw0DP3y1lq4nPPYHcYaD7PT7p02+9sSn7LmXsxaTBMNAhnTvrmpTNxBkbBtqvGTjZ+0XmfevUN3YRAuYzh5Tci8g9dPfDh1nIWOxAu1ErWz+6ZX1wFGfuMdYf7ED7VHfhsZx1D5kRd/xQDYaBDqkeDHRf1LhEjPsm8k0qZfyUsbkXzkHiXkTuoeLty813PAy0GzHci9iBxg60273CNYr7ngvV4L4NtJTyXCLaYowZFkJcr5S6ejqk9evXH1epVD4mhHi6MeYxIcRblFL/lgcS4p1HaDB3AOysYaDdanu4UdwC4jujlPFTxl6MBhoazLsTOkj3QhH96JM/572IHWgf8uj5VYzfvJbEQI+Nja2pVqt3DQ8PH9doNB6WUt7S6XSuaTabt/ZaQUr5QyJ6s1LqzizLfk8I8WGl1IvzWgUGOo8QDDSneLvRnjkqZfyUscu0aC+GuoeKt507NJhfB317AvcidqCxA+171/Q3nvueC9XgvnagpZTnG2NO1RGhLtwAABHBSURBVFpfZHFIKS8wxpyitd7cxSOyLLtQa/1Z++/x8fGV7XZba61X5uGDgc4jxL9wxNgBwA60W13zRnELSF682Y+njJ8ydhEvHkLFu6u50GDms7iDdC8U0Y8++XPeizHWH653P1NzTx2fs+4+/dYbyx0/VIP7NdCXG2OWaa2v6or5acaYy7TWp88HRUr5CWNMdZrBXpAdDLRbW3E2UgwBg4F2q2veKM6658Wa7/GU8VPGLmLhChXvruZCg2GgifPtbB894LwXY6w/MNA+1V14LGfdQ2bEHT9Ug/sy0FmWXUlEo7MM9KVa6zNmQalIKT9qjNlYqVROm5ycnMqDZg20heTyZ8etXHkk7d071fev8bnEm283LlV8ztytgG2+fQ+NHl0LweB8jRWxa09aRfX6uPM1C5m4VNx7RipVfM66hxQhZfyUsYuo++rVyx2Vbm6loMEHmaTsiZSxy5R7jPWHa+1JzT11/LL1fKgGBwt3d/djxpENe6SDiE5WSl3Sk/qJiYmRAwcOfMl+iPCII4547d133/2oy4LdarXN0FDFZSjGMBFoNBp09k33RzHQN5x1DE1MTDDNHE8DAoNLQAjXrYK5Oc4+NgcNHtw+WOozj7H+WAONtWepd9rc/EM1uC8DPT4+flS73b7T7iyvWLFi39TU1A4i2qqU2t6bopTyc8aYp2mtzyOitmvpsAPtRorzlWCMHQCbFdcuAGfubrRnjkoZP2Vs7H7wvuMVuvth6wANxg50Si3gjB1j/eFae1JrYOr4nHVfDGtvqAb3ZaBt4rVa7WwhxBYiGiGiG7XWV2RZts0Ys90YMzk0NKSIyP7fk11QRil1PBGZw4HDGWi3tuI8CxTjDFrPQG87kecIR6qzfz0BSxWfs+5unTb3xQNy5zkyFnr+rlcRaDC+0qsM92KM9QdnoEPUfr4dW0p27r6ItTdUg/s20DzlmPssMNBuZDmNVAwBg4F2q2veKM6658Wa7/GU8VPGXkziHVI3n2ugwW60ytaPblkf2vnnMu8x1h8YaJ/qLjy2bD0PA834pdq+LZaymThjxxAwGGjf7pp/PGfdQ2aUMn7K2DDQ6MfZBMrWjz56wJl7jPUHBtqnujDQebSwA51HyOFxThFxCDdjCGfsGAIGA+1bYRiWshuW0N0Pnk5a+FmwA+1GmFOD3SLOHJUyPmfsGOsPDHRIh829hrPuITPijh+qwTDQIdWbdQ13MX2mxBk7hoDBQPtUd+nsAPhQ4ex5n7i9sdzxQ8U7ZO4+18BAu9Hi7ge3qIdGpYzPGTvG+gMD7dtdS2MDJ1SDYaAZ+olTRHynwxk7hoDBQPtWeGkImA8Vzp73iQsDjRd08xEoWz/63BOcucdYf2Cgfaq7dO53GGicge77R2RiCBgMNASsXwKci3bIXLjjh4p3yNx9rsEOtBst7n5wi4odaF9OnGuPfS7U/Ujas4fnm4h8a8nNPlSDsQPtW7l5xnMX02dKnLFhoH3IpxVQzrr7ZX1wdMr4KWMXkXuoeIfUzecaGGg3WmXqx1arRbt2Nd0S7+rAs561jH7960e9NnDWr69RtVqdESfG+nO4HeiUuTsDnzYwZd+ljL2YNBgGOqRzZ12Tspk4Y8cQMM5dAM7cQ9ogZfyUsYsQMB/+ZcsdBtqn+vOPTdkTKWNz34t2Dbjwhu/RyJpj+i/KAs+w/xf30+fOPp7q9fFFZaBT5h4CO2XfpYzN3fP2+UI1GAY6pHNhoPuixnUOrWw3sQ9U5I63D336JWQsdqDdqJXpXoyxibKQ/qeMbSudOr5btx0albLvUsaGgXboFIi3AyTmt9JjCAh2oN3qmjeqbAKWl+/0x8uWe+juhw+zkLHQYDdqZerHGGsADHT/v8JbhIl06/aDo8rU89iBFuX6WclUjRxDPGGgfaq78NiyCZgPlbLlDgPtU/35x6bsiZSxuc1MjDUABhoGut87nvueC9VgHOHot5KJX41xNlIM8YSBZmi4xD3HvWj7EuHsed/YReQeKt4hc/e5BjvQbrTK1I8x1gAYaBhotzsr3gZSqAb3baCllOcS0RZjzLAQ4nql1NXT067X62s7nc71Qog1xpgHhRCvU0rtyQMI8c4jxP9WSgzxhIF2q2veqDIt2nm5zn68bLmHinePCzQ47VvKZerHGGsADDQMtK/mF70GhGpwXwZ6bGxsTbVavWt4ePi4RqPxsJTylk6nc02z2by1l3CWZV8VQtyglLq+Vqu9qVKpvFIp9fo8gDDQeYRgoMu0cLlV+9Ao5I4PEdpugAbz6+BSvhdhoPfQ6NE13xZwHs/1Afoi3glzTqKE74AmMdBSyvONMadqrS+y8KWUFxhjTtFab7b/3rRpU/XBBx/co5RaSURtIhqSUv5KKfXs7r8XrBkMtFs7cxqpGOKJHWi3uuaN4qx7Xqz5Hk8ZP2XsIhauUPHuai40OPGCXqZ+jLEGYAcaO9Aha870a7jvuVAN7msHWkp5uTFmmdb6qq6Yn2aMuUxrfXpvd2R4ePi7SqnnT3u78YFqtfrSRqPx88NBhIF2azHORoohnjDQbnXNG8VZ97xYMNAzCXCzDxXvruZCg2GgaRXTL/HGWANgoGGgQ9ac0hnoLMuuJKLRWQb6Uq31GTbZ8fHxozqdzl2zDPSPW63W8ffee+9Dh4N42213GbtQufzZcc985jLat8/v15Bmf5F7L5YVEZ+/lPE5Y9u83/CVYr9E33K1X6R/3Tlzv0jfPubDnjN339i9nchUfYfcy3O/r1693FHp5qoSNPggk5D7YSH999WCkNg2Rsr153Cxi14DFtL/GOtP3tqTKnffnkPP+3u+w93voRocLNzd3Y8ZRzbskQ4iOlkpdYl9fNoRDntko9M9wmGPdKzKO8LhY2AxFgRAAASWIoHZx+agwUuxC5AzCIBACgJ9GWi7w9xut+80xmxcsWLFvqmpqR1EtFUptb2XTJZl24UQX1FKfT7LsguJ6NVa69ekSBYxQQAEQKBMBKDBZaomcgEBEBgkAn0ZaJtorVY7WwixhYhGiOhGrfUVWZZtM8ZsbzabO2q12tGVSuUzRHQUEe3tdDrnNZvNnwwSJMwVBEAABBYrAWjwYq0M5gUCIFBmAn0b6DLDQW4gAAIgAAIgAAIgAAIgMJsADDR6AgRAAARAAARAAARAAAQ8CMBAe8DCUBAAARAAARAAARAAARCAgUYPgAAIgAAIgAAIgAAIgIAHARhoD1gYCgIgAAIgAAIgAAIgAAKlMNBSynOJaIsxZlgIcb1S6uqYpa3VasuFEHe0Wq0/2L179wMxY0sp/9wY8yYiMkT03bVr177529/+divGHLIs+6AQ4kxjTEcI8Wml1EdixJ0eQ0r5ISJaqZT6o5ixpZRfNMa8RAjxWDfue6d/fWPRc6nVamfab78RQjzdGPMNrfXbi45pnz/LsjcLIf6422/CGHOMEOJmpZT9isoof93vOr7CGGOEEP+olHpnlMBEJKW0cd8ohHjCGPMlrfV/ixV7McdZqhqcUn+79yM0OIEGp9JfaPDi0uCBN9BjY2NrqtXqXcPDw8c1Go2HpZS3dDqda5rN5q0xFpxarfYyIcQnhRDZgQMHspgGWkr5O8aYa/fv37/xvvvueyLLsusqlcr3JicnP1p07lmWnSGEeKdS6tQXvOAFTxsZGbmnWq3+/j333NMsOnbv+aWUpxHRF4loR2wDnWWZ3r9//0vvu+++fbHynZb3C4no9kql8js7d+58SEr5LSL6oFLqH2POZcOGDbV2u31LtVr93Uaj8fMYsdetWzc6Ojr6k6GhoWznzp2/llJ+h4jepZSyDAr9s/1mjPnI8PDwCY1G49Esy24UQnxGKXVjoYEX+ZMvVQ1Oqb9dIwUNTqDBUspFob+2B6DBaTV44A203Y0yxpyqtb7INtTsX+Yqeu3JsuxTdvfVGPP5Vqu1KaaBXr9+/fpKpXKU1vr2rqBeSkRrtdb2/8f4G7K/KLlhw4Zj2u32bUKIl09OTv4sRuCJiYlnt1qtrwkh/t4Y86KYBrob+14iusMY83whxA1KqffFyLvb439u66yU+gv774mJiedWKpUnf/CDH/w61hy68/iGEOJzk5OTX4gVd2Ji4hkHDhx4oNPpvKjVav1yZGTkjk6n87Zdu3b9c9FzyLLM8l6ttb68m/9biGijUuqNRcdezM+/VDV4EeivbQtocGQNtu86LAb9hQY/5feSanAZDPTlxphlWuurug1ld4ku01qfHnPRybLsR61W65SYBnp6fscee+xzhoaG7iKiN/QMdYz8pZT2uIwVlC/FNLFZln25Uqls7XQ69gjBKZFjjxPRe/bv3//mdrv95OjoqP0Fzs9rrT8bg3mWZVuJ6Ekiqgsh7A8U2SMUfxUjdi9GlmUnCSE+ppR6ccy43ReKbxVCXGOMeVQI8X+VUufEmIOU8hVE9LcjIyOnTk1NPT4yMvJVIhKxtSZGrj4xpJRLXoNT6W93zYMGR9TgxaC/XR2EBifW4IE30FmWXUlEo7MM9KVa6zN8FoF+x6Y00PV6/QXGGGvi7PnvD/abi+/13bfVdwghvqiUutb3et/xUsrN1jzaHVj78/CxDfTs+UopX01E50c0cp8kohMrlcpJrVbrN5VK5SZjzBe01tf5sgwdL6X8gjHm6zFj2rnW6/X/YIz5bKVSedWyZcseeeSRR+zu911a678JzcXnOinl27ufOdhLRN8UQrxMKXWWz3OUbexS1+DU+mv7CRocT4OllMn1t/vCCRqcWIMH3kDPPrLR/YDRyUqpS2IuVKkMdJZlLxZCWPP8AaWU3ZmM8ler1TZUq9XKzp07f9i9mf+ka2r/rOgJSCm/YYx5rhCiTUTPtu9A2BcPsT5IV6/Xj2+320fZn6rv7gS8loj+k9b6dUXn3o33PiHEs5RSb+uyf4sxZkJr/dYY8Tdt2lR98MEHf3rEEUeM3X333Y/GiNmLYY9RCCGe0/vgYPcs/luUUmcWPQ97fMQYs/Kee+65v8v9HfYIj9b6HUXHXszPv5Q1OJX+2n6ABqfR4CzLkuqvrT00eHFo8MAb6PHx8aPa7fadxpiNK1as2Dc1NWVNzdaY34jQNTXRj3DUarXVQoh/E0JYAxH1g0y1Wu1sIcTb165de+pPf/rToUqlYneg/9fk5ORXYi72KXag169f//KhoaHrqtXqS4hof6vVsj33KaXUl2LknmXZS4noulartXH37t2/ybLsBrsLPTk5+ekY8Wu1mv32kY9prU+MEW96jFqt9kohxIdHR0dPuPvuux+TUm41xvxCa/2eoucyPj7+W+12+3+vXbv2uAceeGDZ8PDwd9rt9uYY56+Lzq2f51+qGpxSf7sGGhqcQINT62+39tDgRaDBA2+gpwnJFiIaIaIbtdZX9LMghFybZdnu2B8ilFK+3xjzdiGEtmcxu18t9rVY52FtfCJ6jTHGfm2e/UqvD4Sw6+eaFAa6t/tIRBcbY4aEEP+glPrLfvLwvTbLMvvBNfth0aoQ4ptKKbvzb7/KsPC/er1+jjHmtUqp1xcebJ4AWZZdRkT2Q8P2HPj/279//5/ab6GJMRd73td+zsAYU7HnobXW22LEXewxui+ol5QGp9bfrg5BgxNocEr9tXWHBi8ODS6FgV7siwvmBwIgAAIgAAIgAAIgUB4CMNDlqSUyAQEQAAEQAAEQAAEQiEAABjoCZIQAARAAARAAARAAARAoDwEY6PLUEpmAAAiAAAiAAAiAAAhEIAADHQEyQoAACIAACIAACIAACJSHAAx0eWqJTEAABEAABEAABEAABCIQgIGOABkhQAAEQAAEQAAEQAAEykMABro8tUQmIAACIAACIAACIAACEQjAQEeAjBAgAAIgAAIgAAIgAALlIQADXZ5aIhMQAAEQAAEQAAEQAIEIBGCgI0BGCBAAARAAARAAARAAgfIQgIEuTy2RCQiAAAiAAAiAAAiAQAQCMNARICMECIAACIAACIAACIBAeQjAQJenlsgEBEAABEAABEAABEAgAgEY6AiQEQIEQAAEQAAEQAAEQKA8BGCgy1NLZAICIAACIAACIAACIBCBwP8HPAL4FlCN/RQAAAAASUVORK5CYII=\">"
-      ],
-      "text/plain": [
-       "<IPython.core.display.HTML object>"
+       "<matplotlib.figure.Figure at 0x1cf131fbe10>"
       ]
      },
      "metadata": {},
@@ -5543,8 +1715,7 @@
     "\n",
     "belief = [0., 0., 0., 1., 0., 0., 0., 0., 0., 0.]\n",
     "prior = predict_move(belief, 2, .1, .8, .1)\n",
-    "with interactive_plot():\n",
-    "    bp.plot_belief_vs_prior(belief, prior)"
+    "bp.plot_belief_vs_prior(belief, prior)"
    ]
   },
   {
@@ -5564,775 +1735,9 @@
    "outputs": [
     {
      "data": {
-      "application/javascript": [
-       "/* Put everything inside the global mpl namespace */\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('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",
-       "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 = $('<div/>');\n",
-       "    this._root_extra_style(this.root)\n",
-       "    this.root.attr('style', 'display: inline-block');\n",
-       "\n",
-       "    $(parent_element).append(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",
-       "            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",
-       "        this.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 = $(\n",
-       "        '<div class=\"ui-dialog-titlebar ui-widget-header ui-corner-all ' +\n",
-       "        'ui-helper-clearfix\"/>');\n",
-       "    var titletext = $(\n",
-       "        '<div class=\"ui-dialog-title\" style=\"width: 100%; ' +\n",
-       "        'text-align: center; padding: 3px;\"/>');\n",
-       "    titlebar.append(titletext)\n",
-       "    this.root.append(titlebar);\n",
-       "    this.header = titletext[0];\n",
-       "}\n",
-       "\n",
-       "\n",
-       "\n",
-       "mpl.figure.prototype._canvas_extra_style = function(canvas_div) {\n",
-       "\n",
-       "}\n",
-       "\n",
-       "\n",
-       "mpl.figure.prototype._root_extra_style = function(canvas_div) {\n",
-       "\n",
-       "}\n",
-       "\n",
-       "mpl.figure.prototype._init_canvas = function() {\n",
-       "    var fig = this;\n",
-       "\n",
-       "    var canvas_div = $('<div/>');\n",
-       "\n",
-       "    canvas_div.attr('style', 'position: relative; clear: both; outline: 0');\n",
-       "\n",
-       "    function canvas_keyboard_event(event) {\n",
-       "        return fig.key_event(event, event['data']);\n",
-       "    }\n",
-       "\n",
-       "    canvas_div.keydown('key_press', canvas_keyboard_event);\n",
-       "    canvas_div.keyup('key_release', canvas_keyboard_event);\n",
-       "    this.canvas_div = canvas_div\n",
-       "    this._canvas_extra_style(canvas_div)\n",
-       "    this.root.append(canvas_div);\n",
-       "\n",
-       "    var canvas = $('<canvas/>');\n",
-       "    canvas.addClass('mpl-canvas');\n",
-       "    canvas.attr('style', \"left: 0; top: 0; z-index: 0; outline: 0\")\n",
-       "\n",
-       "    this.canvas = canvas[0];\n",
-       "    this.context = canvas[0].getContext(\"2d\");\n",
-       "\n",
-       "    var rubberband = $('<canvas/>');\n",
-       "    rubberband.attr('style', \"position: absolute; left: 0; top: 0; z-index: 1;\")\n",
-       "\n",
-       "    var pass_mouse_events = true;\n",
-       "\n",
-       "    canvas_div.resizable({\n",
-       "        start: function(event, ui) {\n",
-       "            pass_mouse_events = false;\n",
-       "        },\n",
-       "        resize: function(event, ui) {\n",
-       "            fig.request_resize(ui.size.width, ui.size.height);\n",
-       "        },\n",
-       "        stop: function(event, ui) {\n",
-       "            pass_mouse_events = true;\n",
-       "            fig.request_resize(ui.size.width, ui.size.height);\n",
-       "        },\n",
-       "    });\n",
-       "\n",
-       "    function mouse_event_fn(event) {\n",
-       "        if (pass_mouse_events)\n",
-       "            return fig.mouse_event(event, event['data']);\n",
-       "    }\n",
-       "\n",
-       "    rubberband.mousedown('button_press', mouse_event_fn);\n",
-       "    rubberband.mouseup('button_release', mouse_event_fn);\n",
-       "    // Throttle sequential mouse events to 1 every 20ms.\n",
-       "    rubberband.mousemove('motion_notify', mouse_event_fn);\n",
-       "\n",
-       "    rubberband.mouseenter('figure_enter', mouse_event_fn);\n",
-       "    rubberband.mouseleave('figure_leave', mouse_event_fn);\n",
-       "\n",
-       "    canvas_div.on(\"wheel\", function (event) {\n",
-       "        event = event.originalEvent;\n",
-       "        event['data'] = 'scroll'\n",
-       "        if (event.deltaY < 0) {\n",
-       "            event.step = 1;\n",
-       "        } else {\n",
-       "            event.step = -1;\n",
-       "        }\n",
-       "        mouse_event_fn(event);\n",
-       "    });\n",
-       "\n",
-       "    canvas_div.append(canvas);\n",
-       "    canvas_div.append(rubberband);\n",
-       "\n",
-       "    this.rubberband = rubberband;\n",
-       "    this.rubberband_canvas = rubberband[0];\n",
-       "    this.rubberband_context = rubberband[0].getContext(\"2d\");\n",
-       "    this.rubberband_context.strokeStyle = \"#000000\";\n",
-       "\n",
-       "    this._resize_canvas = function(width, height) {\n",
-       "        // Keep the size of the canvas, canvas container, and rubber band\n",
-       "        // canvas in synch.\n",
-       "        canvas_div.css('width', width)\n",
-       "        canvas_div.css('height', height)\n",
-       "\n",
-       "        canvas.attr('width', width);\n",
-       "        canvas.attr('height', height);\n",
-       "\n",
-       "        rubberband.attr('width', width);\n",
-       "        rubberband.attr('height', height);\n",
-       "    }\n",
-       "\n",
-       "    // Set the figure to an initial 600x600px, this will subsequently be updated\n",
-       "    // upon first draw.\n",
-       "    this._resize_canvas(600, 600);\n",
-       "\n",
-       "    // Disable right mouse context menu.\n",
-       "    $(this.rubberband_canvas).bind(\"contextmenu\",function(e){\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 nav_element = $('<div/>')\n",
-       "    nav_element.attr('style', 'width: 100%');\n",
-       "    this.root.append(nav_element);\n",
-       "\n",
-       "    // Define a callback function for later on.\n",
-       "    function toolbar_event(event) {\n",
-       "        return fig.toolbar_button_onclick(event['data']);\n",
-       "    }\n",
-       "    function toolbar_mouse_event(event) {\n",
-       "        return fig.toolbar_button_onmouseover(event['data']);\n",
-       "    }\n",
-       "\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",
-       "            // put a spacer in here.\n",
-       "            continue;\n",
-       "        }\n",
-       "        var button = $('<button/>');\n",
-       "        button.addClass('ui-button ui-widget ui-state-default ui-corner-all ' +\n",
-       "                        'ui-button-icon-only');\n",
-       "        button.attr('role', 'button');\n",
-       "        button.attr('aria-disabled', 'false');\n",
-       "        button.click(method_name, toolbar_event);\n",
-       "        button.mouseover(tooltip, toolbar_mouse_event);\n",
-       "\n",
-       "        var icon_img = $('<span/>');\n",
-       "        icon_img.addClass('ui-button-icon-primary ui-icon');\n",
-       "        icon_img.addClass(image);\n",
-       "        icon_img.addClass('ui-corner-all');\n",
-       "\n",
-       "        var tooltip_span = $('<span/>');\n",
-       "        tooltip_span.addClass('ui-button-text');\n",
-       "        tooltip_span.html(tooltip);\n",
-       "\n",
-       "        button.append(icon_img);\n",
-       "        button.append(tooltip_span);\n",
-       "\n",
-       "        nav_element.append(button);\n",
-       "    }\n",
-       "\n",
-       "    var fmt_picker_span = $('<span/>');\n",
-       "\n",
-       "    var fmt_picker = $('<select/>');\n",
-       "    fmt_picker.addClass('mpl-toolbar-option ui-widget ui-widget-content');\n",
-       "    fmt_picker_span.append(fmt_picker);\n",
-       "    nav_element.append(fmt_picker_span);\n",
-       "    this.format_dropdown = fmt_picker[0];\n",
-       "\n",
-       "    for (var ind in mpl.extensions) {\n",
-       "        var fmt = mpl.extensions[ind];\n",
-       "        var option = $(\n",
-       "            '<option/>', {selected: fmt === mpl.default_extension}).html(fmt);\n",
-       "        fmt_picker.append(option)\n",
-       "    }\n",
-       "\n",
-       "    // Add hover states to the ui-buttons\n",
-       "    $( \".ui-button\" ).hover(\n",
-       "        function() { $(this).addClass(\"ui-state-hover\");},\n",
-       "        function() { $(this).removeClass(\"ui-state-hover\");}\n",
-       "    );\n",
-       "\n",
-       "    var status_bar = $('<span class=\"mpl-message\"/>');\n",
-       "    nav_element.append(status_bar);\n",
-       "    this.message = status_bar[0];\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",
-       "\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",
-       "\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]);\n",
-       "        fig.send_message(\"refresh\", {});\n",
-       "    };\n",
-       "}\n",
-       "\n",
-       "mpl.figure.prototype.handle_rubberband = function(fig, msg) {\n",
-       "    var x0 = msg['x0'];\n",
-       "    var y0 = fig.canvas.height - msg['y0'];\n",
-       "    var x1 = msg['x1'];\n",
-       "    var y1 = fig.canvas.height - msg['y1'];\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, 0, fig.canvas.width, fig.canvas.height);\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",
-       "    {\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.updated_canvas_event = function() {\n",
-       "    // Called whenever the canvas gets updated.\n",
-       "    this.send_message(\"ack\", {});\n",
-       "}\n",
-       "\n",
-       "// A function to construct a web socket function for onmessage handling.\n",
-       "// Called in the figure constructor.\n",
-       "mpl.figure.prototype._make_on_message_function = function(fig) {\n",
-       "    return function socket_on_message(evt) {\n",
-       "        if (evt.data instanceof Blob) {\n",
-       "            /* FIXME: We get \"Resource interpreted as Image but\n",
-       "             * transferred with MIME type text/plain:\" errors on\n",
-       "             * Chrome.  But how to set the MIME type?  It doesn't seem\n",
-       "             * to be part of the websocket stream */\n",
-       "            evt.data.type = \"image/png\";\n",
-       "\n",
-       "            /* Free the memory for the previous frames */\n",
-       "            if (fig.imageObj.src) {\n",
-       "                (window.URL || window.webkitURL).revokeObjectURL(\n",
-       "                    fig.imageObj.src);\n",
-       "            }\n",
-       "\n",
-       "            fig.imageObj.src = (window.URL || window.webkitURL).createObjectURL(\n",
-       "                evt.data);\n",
-       "            fig.updated_canvas_event();\n",
-       "            fig.waiting = false;\n",
-       "            return;\n",
-       "        }\n",
-       "        else if (typeof evt.data === 'string' && evt.data.slice(0, 21) == \"data:image/png;base64\") {\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(\"No handler for the '\" + msg_type + \"' message type: \", msg);\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(\"Exception inside the 'handler_\" + msg_type + \"' callback:\", e, e.stack, msg);\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",
-       "    if (e.target)\n",
-       "        targ = e.target;\n",
-       "    else if (e.srcElement)\n",
-       "        targ = e.srcElement;\n",
-       "    if (targ.nodeType == 3) // defeat Safari bug\n",
-       "        targ = targ.parentNode;\n",
-       "\n",
-       "    // jQuery normalizes the pageX and pageY\n",
-       "    // pageX,Y are the mouse positions relative to the document\n",
-       "    // offset() returns the position of the element relative to the document\n",
-       "    var x = e.pageX - $(targ).offset().left;\n",
-       "    var y = e.pageY - $(targ).offset().top;\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",
-       "    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",
-       "    {\n",
-       "        this.canvas.focus();\n",
-       "        this.canvas_div.focus();\n",
-       "    }\n",
-       "\n",
-       "    var x = canvas_pos.x;\n",
-       "    var y = canvas_pos.y;\n",
-       "\n",
-       "    this.send_message(name, {x: x, y: y, button: event.button,\n",
-       "                             step: event.step,\n",
-       "                             guiEvent: simpleKeys(event)});\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",
-       "\n",
-       "    // Prevent repeat events\n",
-       "    if (name == 'key_press')\n",
-       "    {\n",
-       "        if (event.which === this._key)\n",
-       "            return;\n",
-       "        else\n",
-       "            this._key = event.which;\n",
-       "    }\n",
-       "    if (name == 'key_release')\n",
-       "        this._key = null;\n",
-       "\n",
-       "    var value = '';\n",
-       "    if (event.ctrlKey && event.which != 17)\n",
-       "        value += \"ctrl+\";\n",
-       "    if (event.altKey && event.which != 18)\n",
-       "        value += \"alt+\";\n",
-       "    if (event.shiftKey && event.which != 16)\n",
-       "        value += \"shift+\";\n",
-       "\n",
-       "    value += 'k';\n",
-       "    value += event.which.toString();\n",
-       "\n",
-       "    this._key_event_extra(event, name);\n",
-       "\n",
-       "    this.send_message(name, {key: value,\n",
-       "                             guiEvent: simpleKeys(event)});\n",
-       "    return false;\n",
-       "}\n",
-       "\n",
-       "mpl.figure.prototype.toolbar_button_onclick = function(name) {\n",
-       "    if (name == 'download') {\n",
-       "        this.handle_save(this, null);\n",
-       "    } else {\n",
-       "        this.send_message(\"toolbar_button\", {name: name});\n",
-       "    }\n",
-       "};\n",
-       "\n",
-       "mpl.figure.prototype.toolbar_button_onmouseover = function(tooltip) {\n",
-       "    this.message.textContent = tooltip;\n",
-       "};\n",
-       "mpl.toolbar_items = [[\"Home\", \"Reset original view\", \"fa fa-home icon-home\", \"home\"], [\"Back\", \"Back to  previous view\", \"fa fa-arrow-left icon-arrow-left\", \"back\"], [\"Forward\", \"Forward to next view\", \"fa fa-arrow-right icon-arrow-right\", \"forward\"], [\"\", \"\", \"\", \"\"], [\"Pan\", \"Pan axes with left mouse, zoom with right\", \"fa fa-arrows icon-move\", \"pan\"], [\"Zoom\", \"Zoom to rectangle\", \"fa fa-square-o icon-check-empty\", \"zoom\"], [\"\", \"\", \"\", \"\"], [\"Download\", \"Download plot\", \"fa fa-floppy-o icon-save\", \"download\"]];\n",
-       "\n",
-       "mpl.extensions = [\"eps\", \"jpeg\", \"pdf\", \"png\", \"ps\", \"raw\", \"svg\", \"tif\"];\n",
-       "\n",
-       "mpl.default_extension = \"png\";var comm_websocket_adapter = function(comm) {\n",
-       "    // Create a \"websocket\"-like object which calls the given IPython comm\n",
-       "    // object with the appropriate methods. Currently this is a non binary\n",
-       "    // socket, so there is still some room for performance tuning.\n",
-       "    var ws = {};\n",
-       "\n",
-       "    ws.close = function() {\n",
-       "        comm.close()\n",
-       "    };\n",
-       "    ws.send = function(m) {\n",
-       "        //console.log('sending', m);\n",
-       "        comm.send(m);\n",
-       "    };\n",
-       "    // Register the callback with on_msg.\n",
-       "    comm.on_msg(function(msg) {\n",
-       "        //console.log('receiving', msg['content']['data'], msg);\n",
-       "        // Pass the mpl event to the overriden (by mpl) onmessage function.\n",
-       "        ws.onmessage(msg['content']['data'])\n",
-       "    });\n",
-       "    return ws;\n",
-       "}\n",
-       "\n",
-       "mpl.mpl_figure_comm = function(comm, msg) {\n",
-       "    // This is the function which gets called when the mpl process\n",
-       "    // starts-up an IPython Comm through the \"matplotlib\" channel.\n",
-       "\n",
-       "    var id = msg.content.data.id;\n",
-       "    // Get hold of the div created by the display call when the Comm\n",
-       "    // socket was opened in Python.\n",
-       "    var element = $(\"#\" + id);\n",
-       "    var ws_proxy = comm_websocket_adapter(comm)\n",
-       "\n",
-       "    function ondownload(figure, format) {\n",
-       "        window.open(figure.imageObj.src);\n",
-       "    }\n",
-       "\n",
-       "    var fig = new mpl.figure(id, ws_proxy,\n",
-       "                           ondownload,\n",
-       "                           element.get(0));\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.get(0);\n",
-       "    fig.cell_info = mpl.find_output_cell(\"<div id='\" + id + \"'></div>\");\n",
-       "    if (!fig.cell_info) {\n",
-       "        console.error(\"Failed to find cell for figure\", id, fig);\n",
-       "        return;\n",
-       "    }\n",
-       "\n",
-       "    var output_index = fig.cell_info[2]\n",
-       "    var cell = fig.cell_info[0];\n",
-       "\n",
-       "};\n",
-       "\n",
-       "mpl.figure.prototype.handle_close = function(fig, msg) {\n",
-       "    fig.root.unbind('remove')\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).html('<img src=\"' + dataURL + '\">');\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 dataURL = this.canvas.toDataURL();\n",
-       "    this.cell_info[1]['text/html'] = '<img src=\"' + dataURL + '\">';\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 () { fig.push_to_output() }, 1000);\n",
-       "}\n",
-       "\n",
-       "mpl.figure.prototype._init_toolbar = function() {\n",
-       "    var fig = this;\n",
-       "\n",
-       "    var nav_element = $('<div/>')\n",
-       "    nav_element.attr('style', 'width: 100%');\n",
-       "    this.root.append(nav_element);\n",
-       "\n",
-       "    // Define a callback function for later on.\n",
-       "    function toolbar_event(event) {\n",
-       "        return fig.toolbar_button_onclick(event['data']);\n",
-       "    }\n",
-       "    function toolbar_mouse_event(event) {\n",
-       "        return fig.toolbar_button_onmouseover(event['data']);\n",
-       "    }\n",
-       "\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) { continue; };\n",
-       "\n",
-       "        var button = $('<button class=\"btn btn-default\" href=\"#\" title=\"' + name + '\"><i class=\"fa ' + image + ' fa-lg\"></i></button>');\n",
-       "        button.click(method_name, toolbar_event);\n",
-       "        button.mouseover(tooltip, toolbar_mouse_event);\n",
-       "        nav_element.append(button);\n",
-       "    }\n",
-       "\n",
-       "    // Add the status bar.\n",
-       "    var status_bar = $('<span class=\"mpl-message\" style=\"text-align:right; float: right;\"/>');\n",
-       "    nav_element.append(status_bar);\n",
-       "    this.message = status_bar[0];\n",
-       "\n",
-       "    // Add the close button to the window.\n",
-       "    var buttongrp = $('<div class=\"btn-group inline pull-right\"></div>');\n",
-       "    var button = $('<button class=\"btn btn-mini btn-primary\" href=\"#\" title=\"Stop Interaction\"><i class=\"fa fa-power-off icon-remove icon-large\"></i></button>');\n",
-       "    button.click(function (evt) { fig.handle_close(fig, {}); } );\n",
-       "    button.mouseover('Stop Interaction', toolbar_mouse_event);\n",
-       "    buttongrp.append(button);\n",
-       "    var titlebar = this.root.find($('.ui-dialog-titlebar'));\n",
-       "    titlebar.prepend(buttongrp);\n",
-       "}\n",
-       "\n",
-       "mpl.figure.prototype._root_extra_style = function(el){\n",
-       "    var fig = this\n",
-       "    el.on(\"remove\", function(){\n",
-       "\tfig.close_ws(fig, {});\n",
-       "    });\n",
-       "}\n",
-       "\n",
-       "mpl.figure.prototype._canvas_extra_style = function(el){\n",
-       "    // this is important to make the div 'focusable\n",
-       "    el.attr('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",
-       "    }\n",
-       "    else {\n",
-       "        // location in version 2\n",
-       "        IPython.keyboard_manager.register_events(el);\n",
-       "    }\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",
-       "    // Check for shift+enter\n",
-       "    if (event.shiftKey && event.which == 13) {\n",
-       "        this.canvas_div.blur();\n",
-       "        event.shiftKey = false;\n",
-       "        // Send a \"J\" for go to next cell\n",
-       "        event.which = 74;\n",
-       "        event.keyCode = 74;\n",
-       "        manager.command_mode();\n",
-       "        manager.handle_keydown(event);\n",
-       "    }\n",
-       "}\n",
-       "\n",
-       "mpl.figure.prototype.handle_save = function(fig, msg) {\n",
-       "    fig.ondownload(fig, null);\n",
-       "}\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('matplotlib', mpl.mpl_figure_comm);\n",
-       "}\n"
-      ],
+      "image/png": "iVBORw0KGgoAAAANSUhEUgAAAhkAAACbCAYAAADP/YlxAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\nMiRJUhE2GZIkqYj/B8ZqZAsVtmgxAAAAAElFTkSuQmCC\n",
       "text/plain": [
-       "<IPython.core.display.Javascript object>"
-      ]
-     },
-     "metadata": {},
-     "output_type": "display_data"
-    },
-    {
-     "data": {
-      "text/html": [
-       "<img src=\"data:image/png;base64,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\">"
-      ],
-      "text/plain": [
-       "<IPython.core.display.HTML object>"
+       "<matplotlib.figure.Figure at 0x1cf13364dd8>"
       ]
      },
      "metadata": {},
@@ -6342,8 +1747,7 @@
    "source": [
     "belief = [0, 0, .4, .6, 0, 0, 0, 0, 0, 0]\n",
     "prior = predict_move(belief, 2, .1, .8, .1)\n",
-    "with interactive_plot():\n",
-    "    bp.plot_belief_vs_prior(belief, prior)"
+    "bp.plot_belief_vs_prior(belief, prior)"
    ]
   },
   {
@@ -7150,6 +2554,9 @@
     }
    ],
    "source": [
+    "%matplotlib notebook\n",
+    "set_figsize(y=2)\n",
+    "\n",
     "belief = np.array([1.0, 0, 0, 0, 0, 0, 0, 0, 0, 0])\n",
     "plt.figure()\n",
     "    \n",
@@ -7159,7 +2566,11 @@
     "    bp.bar_plot(belief)\n",
     "    plt.title('Step {}'.format(i+1))\n",
     "    plt.gcf().canvas.draw()\n",
-    "print('Final Belief:', belief)"
+    "print('Final Belief:', belief)\n",
+    "\n",
+    "# reset to noninteractive plot settings\n",
+    "%matplotlib inline\n",
+    "set_figsize(y=2)"
    ]
   },
   {
@@ -7245,775 +2656,9 @@
    "outputs": [
     {
      "data": {
-      "application/javascript": [
-       "/* Put everything inside the global mpl namespace */\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('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",
-       "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 = $('<div/>');\n",
-       "    this._root_extra_style(this.root)\n",
-       "    this.root.attr('style', 'display: inline-block');\n",
-       "\n",
-       "    $(parent_element).append(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",
-       "            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",
-       "        this.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 = $(\n",
-       "        '<div class=\"ui-dialog-titlebar ui-widget-header ui-corner-all ' +\n",
-       "        'ui-helper-clearfix\"/>');\n",
-       "    var titletext = $(\n",
-       "        '<div class=\"ui-dialog-title\" style=\"width: 100%; ' +\n",
-       "        'text-align: center; padding: 3px;\"/>');\n",
-       "    titlebar.append(titletext)\n",
-       "    this.root.append(titlebar);\n",
-       "    this.header = titletext[0];\n",
-       "}\n",
-       "\n",
-       "\n",
-       "\n",
-       "mpl.figure.prototype._canvas_extra_style = function(canvas_div) {\n",
-       "\n",
-       "}\n",
-       "\n",
-       "\n",
-       "mpl.figure.prototype._root_extra_style = function(canvas_div) {\n",
-       "\n",
-       "}\n",
-       "\n",
-       "mpl.figure.prototype._init_canvas = function() {\n",
-       "    var fig = this;\n",
-       "\n",
-       "    var canvas_div = $('<div/>');\n",
-       "\n",
-       "    canvas_div.attr('style', 'position: relative; clear: both; outline: 0');\n",
-       "\n",
-       "    function canvas_keyboard_event(event) {\n",
-       "        return fig.key_event(event, event['data']);\n",
-       "    }\n",
-       "\n",
-       "    canvas_div.keydown('key_press', canvas_keyboard_event);\n",
-       "    canvas_div.keyup('key_release', canvas_keyboard_event);\n",
-       "    this.canvas_div = canvas_div\n",
-       "    this._canvas_extra_style(canvas_div)\n",
-       "    this.root.append(canvas_div);\n",
-       "\n",
-       "    var canvas = $('<canvas/>');\n",
-       "    canvas.addClass('mpl-canvas');\n",
-       "    canvas.attr('style', \"left: 0; top: 0; z-index: 0; outline: 0\")\n",
-       "\n",
-       "    this.canvas = canvas[0];\n",
-       "    this.context = canvas[0].getContext(\"2d\");\n",
-       "\n",
-       "    var rubberband = $('<canvas/>');\n",
-       "    rubberband.attr('style', \"position: absolute; left: 0; top: 0; z-index: 1;\")\n",
-       "\n",
-       "    var pass_mouse_events = true;\n",
-       "\n",
-       "    canvas_div.resizable({\n",
-       "        start: function(event, ui) {\n",
-       "            pass_mouse_events = false;\n",
-       "        },\n",
-       "        resize: function(event, ui) {\n",
-       "            fig.request_resize(ui.size.width, ui.size.height);\n",
-       "        },\n",
-       "        stop: function(event, ui) {\n",
-       "            pass_mouse_events = true;\n",
-       "            fig.request_resize(ui.size.width, ui.size.height);\n",
-       "        },\n",
-       "    });\n",
-       "\n",
-       "    function mouse_event_fn(event) {\n",
-       "        if (pass_mouse_events)\n",
-       "            return fig.mouse_event(event, event['data']);\n",
-       "    }\n",
-       "\n",
-       "    rubberband.mousedown('button_press', mouse_event_fn);\n",
-       "    rubberband.mouseup('button_release', mouse_event_fn);\n",
-       "    // Throttle sequential mouse events to 1 every 20ms.\n",
-       "    rubberband.mousemove('motion_notify', mouse_event_fn);\n",
-       "\n",
-       "    rubberband.mouseenter('figure_enter', mouse_event_fn);\n",
-       "    rubberband.mouseleave('figure_leave', mouse_event_fn);\n",
-       "\n",
-       "    canvas_div.on(\"wheel\", function (event) {\n",
-       "        event = event.originalEvent;\n",
-       "        event['data'] = 'scroll'\n",
-       "        if (event.deltaY < 0) {\n",
-       "            event.step = 1;\n",
-       "        } else {\n",
-       "            event.step = -1;\n",
-       "        }\n",
-       "        mouse_event_fn(event);\n",
-       "    });\n",
-       "\n",
-       "    canvas_div.append(canvas);\n",
-       "    canvas_div.append(rubberband);\n",
-       "\n",
-       "    this.rubberband = rubberband;\n",
-       "    this.rubberband_canvas = rubberband[0];\n",
-       "    this.rubberband_context = rubberband[0].getContext(\"2d\");\n",
-       "    this.rubberband_context.strokeStyle = \"#000000\";\n",
-       "\n",
-       "    this._resize_canvas = function(width, height) {\n",
-       "        // Keep the size of the canvas, canvas container, and rubber band\n",
-       "        // canvas in synch.\n",
-       "        canvas_div.css('width', width)\n",
-       "        canvas_div.css('height', height)\n",
-       "\n",
-       "        canvas.attr('width', width);\n",
-       "        canvas.attr('height', height);\n",
-       "\n",
-       "        rubberband.attr('width', width);\n",
-       "        rubberband.attr('height', height);\n",
-       "    }\n",
-       "\n",
-       "    // Set the figure to an initial 600x600px, this will subsequently be updated\n",
-       "    // upon first draw.\n",
-       "    this._resize_canvas(600, 600);\n",
-       "\n",
-       "    // Disable right mouse context menu.\n",
-       "    $(this.rubberband_canvas).bind(\"contextmenu\",function(e){\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 nav_element = $('<div/>')\n",
-       "    nav_element.attr('style', 'width: 100%');\n",
-       "    this.root.append(nav_element);\n",
-       "\n",
-       "    // Define a callback function for later on.\n",
-       "    function toolbar_event(event) {\n",
-       "        return fig.toolbar_button_onclick(event['data']);\n",
-       "    }\n",
-       "    function toolbar_mouse_event(event) {\n",
-       "        return fig.toolbar_button_onmouseover(event['data']);\n",
-       "    }\n",
-       "\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",
-       "            // put a spacer in here.\n",
-       "            continue;\n",
-       "        }\n",
-       "        var button = $('<button/>');\n",
-       "        button.addClass('ui-button ui-widget ui-state-default ui-corner-all ' +\n",
-       "                        'ui-button-icon-only');\n",
-       "        button.attr('role', 'button');\n",
-       "        button.attr('aria-disabled', 'false');\n",
-       "        button.click(method_name, toolbar_event);\n",
-       "        button.mouseover(tooltip, toolbar_mouse_event);\n",
-       "\n",
-       "        var icon_img = $('<span/>');\n",
-       "        icon_img.addClass('ui-button-icon-primary ui-icon');\n",
-       "        icon_img.addClass(image);\n",
-       "        icon_img.addClass('ui-corner-all');\n",
-       "\n",
-       "        var tooltip_span = $('<span/>');\n",
-       "        tooltip_span.addClass('ui-button-text');\n",
-       "        tooltip_span.html(tooltip);\n",
-       "\n",
-       "        button.append(icon_img);\n",
-       "        button.append(tooltip_span);\n",
-       "\n",
-       "        nav_element.append(button);\n",
-       "    }\n",
-       "\n",
-       "    var fmt_picker_span = $('<span/>');\n",
-       "\n",
-       "    var fmt_picker = $('<select/>');\n",
-       "    fmt_picker.addClass('mpl-toolbar-option ui-widget ui-widget-content');\n",
-       "    fmt_picker_span.append(fmt_picker);\n",
-       "    nav_element.append(fmt_picker_span);\n",
-       "    this.format_dropdown = fmt_picker[0];\n",
-       "\n",
-       "    for (var ind in mpl.extensions) {\n",
-       "        var fmt = mpl.extensions[ind];\n",
-       "        var option = $(\n",
-       "            '<option/>', {selected: fmt === mpl.default_extension}).html(fmt);\n",
-       "        fmt_picker.append(option)\n",
-       "    }\n",
-       "\n",
-       "    // Add hover states to the ui-buttons\n",
-       "    $( \".ui-button\" ).hover(\n",
-       "        function() { $(this).addClass(\"ui-state-hover\");},\n",
-       "        function() { $(this).removeClass(\"ui-state-hover\");}\n",
-       "    );\n",
-       "\n",
-       "    var status_bar = $('<span class=\"mpl-message\"/>');\n",
-       "    nav_element.append(status_bar);\n",
-       "    this.message = status_bar[0];\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",
-       "\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",
-       "\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]);\n",
-       "        fig.send_message(\"refresh\", {});\n",
-       "    };\n",
-       "}\n",
-       "\n",
-       "mpl.figure.prototype.handle_rubberband = function(fig, msg) {\n",
-       "    var x0 = msg['x0'];\n",
-       "    var y0 = fig.canvas.height - msg['y0'];\n",
-       "    var x1 = msg['x1'];\n",
-       "    var y1 = fig.canvas.height - msg['y1'];\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, 0, fig.canvas.width, fig.canvas.height);\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",
-       "    {\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.updated_canvas_event = function() {\n",
-       "    // Called whenever the canvas gets updated.\n",
-       "    this.send_message(\"ack\", {});\n",
-       "}\n",
-       "\n",
-       "// A function to construct a web socket function for onmessage handling.\n",
-       "// Called in the figure constructor.\n",
-       "mpl.figure.prototype._make_on_message_function = function(fig) {\n",
-       "    return function socket_on_message(evt) {\n",
-       "        if (evt.data instanceof Blob) {\n",
-       "            /* FIXME: We get \"Resource interpreted as Image but\n",
-       "             * transferred with MIME type text/plain:\" errors on\n",
-       "             * Chrome.  But how to set the MIME type?  It doesn't seem\n",
-       "             * to be part of the websocket stream */\n",
-       "            evt.data.type = \"image/png\";\n",
-       "\n",
-       "            /* Free the memory for the previous frames */\n",
-       "            if (fig.imageObj.src) {\n",
-       "                (window.URL || window.webkitURL).revokeObjectURL(\n",
-       "                    fig.imageObj.src);\n",
-       "            }\n",
-       "\n",
-       "            fig.imageObj.src = (window.URL || window.webkitURL).createObjectURL(\n",
-       "                evt.data);\n",
-       "            fig.updated_canvas_event();\n",
-       "            fig.waiting = false;\n",
-       "            return;\n",
-       "        }\n",
-       "        else if (typeof evt.data === 'string' && evt.data.slice(0, 21) == \"data:image/png;base64\") {\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(\"No handler for the '\" + msg_type + \"' message type: \", msg);\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(\"Exception inside the 'handler_\" + msg_type + \"' callback:\", e, e.stack, msg);\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",
-       "    if (e.target)\n",
-       "        targ = e.target;\n",
-       "    else if (e.srcElement)\n",
-       "        targ = e.srcElement;\n",
-       "    if (targ.nodeType == 3) // defeat Safari bug\n",
-       "        targ = targ.parentNode;\n",
-       "\n",
-       "    // jQuery normalizes the pageX and pageY\n",
-       "    // pageX,Y are the mouse positions relative to the document\n",
-       "    // offset() returns the position of the element relative to the document\n",
-       "    var x = e.pageX - $(targ).offset().left;\n",
-       "    var y = e.pageY - $(targ).offset().top;\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",
-       "    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",
-       "    {\n",
-       "        this.canvas.focus();\n",
-       "        this.canvas_div.focus();\n",
-       "    }\n",
-       "\n",
-       "    var x = canvas_pos.x;\n",
-       "    var y = canvas_pos.y;\n",
-       "\n",
-       "    this.send_message(name, {x: x, y: y, button: event.button,\n",
-       "                             step: event.step,\n",
-       "                             guiEvent: simpleKeys(event)});\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",
-       "\n",
-       "    // Prevent repeat events\n",
-       "    if (name == 'key_press')\n",
-       "    {\n",
-       "        if (event.which === this._key)\n",
-       "            return;\n",
-       "        else\n",
-       "            this._key = event.which;\n",
-       "    }\n",
-       "    if (name == 'key_release')\n",
-       "        this._key = null;\n",
-       "\n",
-       "    var value = '';\n",
-       "    if (event.ctrlKey && event.which != 17)\n",
-       "        value += \"ctrl+\";\n",
-       "    if (event.altKey && event.which != 18)\n",
-       "        value += \"alt+\";\n",
-       "    if (event.shiftKey && event.which != 16)\n",
-       "        value += \"shift+\";\n",
-       "\n",
-       "    value += 'k';\n",
-       "    value += event.which.toString();\n",
-       "\n",
-       "    this._key_event_extra(event, name);\n",
-       "\n",
-       "    this.send_message(name, {key: value,\n",
-       "                             guiEvent: simpleKeys(event)});\n",
-       "    return false;\n",
-       "}\n",
-       "\n",
-       "mpl.figure.prototype.toolbar_button_onclick = function(name) {\n",
-       "    if (name == 'download') {\n",
-       "        this.handle_save(this, null);\n",
-       "    } else {\n",
-       "        this.send_message(\"toolbar_button\", {name: name});\n",
-       "    }\n",
-       "};\n",
-       "\n",
-       "mpl.figure.prototype.toolbar_button_onmouseover = function(tooltip) {\n",
-       "    this.message.textContent = tooltip;\n",
-       "};\n",
-       "mpl.toolbar_items = [[\"Home\", \"Reset original view\", \"fa fa-home icon-home\", \"home\"], [\"Back\", \"Back to  previous view\", \"fa fa-arrow-left icon-arrow-left\", \"back\"], [\"Forward\", \"Forward to next view\", \"fa fa-arrow-right icon-arrow-right\", \"forward\"], [\"\", \"\", \"\", \"\"], [\"Pan\", \"Pan axes with left mouse, zoom with right\", \"fa fa-arrows icon-move\", \"pan\"], [\"Zoom\", \"Zoom to rectangle\", \"fa fa-square-o icon-check-empty\", \"zoom\"], [\"\", \"\", \"\", \"\"], [\"Download\", \"Download plot\", \"fa fa-floppy-o icon-save\", \"download\"]];\n",
-       "\n",
-       "mpl.extensions = [\"eps\", \"jpeg\", \"pdf\", \"png\", \"ps\", \"raw\", \"svg\", \"tif\"];\n",
-       "\n",
-       "mpl.default_extension = \"png\";var comm_websocket_adapter = function(comm) {\n",
-       "    // Create a \"websocket\"-like object which calls the given IPython comm\n",
-       "    // object with the appropriate methods. Currently this is a non binary\n",
-       "    // socket, so there is still some room for performance tuning.\n",
-       "    var ws = {};\n",
-       "\n",
-       "    ws.close = function() {\n",
-       "        comm.close()\n",
-       "    };\n",
-       "    ws.send = function(m) {\n",
-       "        //console.log('sending', m);\n",
-       "        comm.send(m);\n",
-       "    };\n",
-       "    // Register the callback with on_msg.\n",
-       "    comm.on_msg(function(msg) {\n",
-       "        //console.log('receiving', msg['content']['data'], msg);\n",
-       "        // Pass the mpl event to the overriden (by mpl) onmessage function.\n",
-       "        ws.onmessage(msg['content']['data'])\n",
-       "    });\n",
-       "    return ws;\n",
-       "}\n",
-       "\n",
-       "mpl.mpl_figure_comm = function(comm, msg) {\n",
-       "    // This is the function which gets called when the mpl process\n",
-       "    // starts-up an IPython Comm through the \"matplotlib\" channel.\n",
-       "\n",
-       "    var id = msg.content.data.id;\n",
-       "    // Get hold of the div created by the display call when the Comm\n",
-       "    // socket was opened in Python.\n",
-       "    var element = $(\"#\" + id);\n",
-       "    var ws_proxy = comm_websocket_adapter(comm)\n",
-       "\n",
-       "    function ondownload(figure, format) {\n",
-       "        window.open(figure.imageObj.src);\n",
-       "    }\n",
-       "\n",
-       "    var fig = new mpl.figure(id, ws_proxy,\n",
-       "                           ondownload,\n",
-       "                           element.get(0));\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.get(0);\n",
-       "    fig.cell_info = mpl.find_output_cell(\"<div id='\" + id + \"'></div>\");\n",
-       "    if (!fig.cell_info) {\n",
-       "        console.error(\"Failed to find cell for figure\", id, fig);\n",
-       "        return;\n",
-       "    }\n",
-       "\n",
-       "    var output_index = fig.cell_info[2]\n",
-       "    var cell = fig.cell_info[0];\n",
-       "\n",
-       "};\n",
-       "\n",
-       "mpl.figure.prototype.handle_close = function(fig, msg) {\n",
-       "    fig.root.unbind('remove')\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).html('<img src=\"' + dataURL + '\">');\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 dataURL = this.canvas.toDataURL();\n",
-       "    this.cell_info[1]['text/html'] = '<img src=\"' + dataURL + '\">';\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 () { fig.push_to_output() }, 1000);\n",
-       "}\n",
-       "\n",
-       "mpl.figure.prototype._init_toolbar = function() {\n",
-       "    var fig = this;\n",
-       "\n",
-       "    var nav_element = $('<div/>')\n",
-       "    nav_element.attr('style', 'width: 100%');\n",
-       "    this.root.append(nav_element);\n",
-       "\n",
-       "    // Define a callback function for later on.\n",
-       "    function toolbar_event(event) {\n",
-       "        return fig.toolbar_button_onclick(event['data']);\n",
-       "    }\n",
-       "    function toolbar_mouse_event(event) {\n",
-       "        return fig.toolbar_button_onmouseover(event['data']);\n",
-       "    }\n",
-       "\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) { continue; };\n",
-       "\n",
-       "        var button = $('<button class=\"btn btn-default\" href=\"#\" title=\"' + name + '\"><i class=\"fa ' + image + ' fa-lg\"></i></button>');\n",
-       "        button.click(method_name, toolbar_event);\n",
-       "        button.mouseover(tooltip, toolbar_mouse_event);\n",
-       "        nav_element.append(button);\n",
-       "    }\n",
-       "\n",
-       "    // Add the status bar.\n",
-       "    var status_bar = $('<span class=\"mpl-message\" style=\"text-align:right; float: right;\"/>');\n",
-       "    nav_element.append(status_bar);\n",
-       "    this.message = status_bar[0];\n",
-       "\n",
-       "    // Add the close button to the window.\n",
-       "    var buttongrp = $('<div class=\"btn-group inline pull-right\"></div>');\n",
-       "    var button = $('<button class=\"btn btn-mini btn-primary\" href=\"#\" title=\"Stop Interaction\"><i class=\"fa fa-power-off icon-remove icon-large\"></i></button>');\n",
-       "    button.click(function (evt) { fig.handle_close(fig, {}); } );\n",
-       "    button.mouseover('Stop Interaction', toolbar_mouse_event);\n",
-       "    buttongrp.append(button);\n",
-       "    var titlebar = this.root.find($('.ui-dialog-titlebar'));\n",
-       "    titlebar.prepend(buttongrp);\n",
-       "}\n",
-       "\n",
-       "mpl.figure.prototype._root_extra_style = function(el){\n",
-       "    var fig = this\n",
-       "    el.on(\"remove\", function(){\n",
-       "\tfig.close_ws(fig, {});\n",
-       "    });\n",
-       "}\n",
-       "\n",
-       "mpl.figure.prototype._canvas_extra_style = function(el){\n",
-       "    // this is important to make the div 'focusable\n",
-       "    el.attr('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",
-       "    }\n",
-       "    else {\n",
-       "        // location in version 2\n",
-       "        IPython.keyboard_manager.register_events(el);\n",
-       "    }\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",
-       "    // Check for shift+enter\n",
-       "    if (event.shiftKey && event.which == 13) {\n",
-       "        this.canvas_div.blur();\n",
-       "        event.shiftKey = false;\n",
-       "        // Send a \"J\" for go to next cell\n",
-       "        event.which = 74;\n",
-       "        event.keyCode = 74;\n",
-       "        manager.command_mode();\n",
-       "        manager.handle_keydown(event);\n",
-       "    }\n",
-       "}\n",
-       "\n",
-       "mpl.figure.prototype.handle_save = function(fig, msg) {\n",
-       "    fig.ondownload(fig, null);\n",
-       "}\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('matplotlib', mpl.mpl_figure_comm);\n",
-       "}\n"
-      ],
+      "image/png": "iVBORw0KGgoAAAANSUhEUgAAAhkAAACbCAYAAADP/YlxAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\n",
       "text/plain": [
-       "<IPython.core.display.Javascript object>"
-      ]
-     },
-     "metadata": {},
-     "output_type": "display_data"
-    },
-    {
-     "data": {
-      "text/html": [
-       "<img src=\"data:image/png;base64,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\">"
-      ],
-      "text/plain": [
-       "<IPython.core.display.HTML object>"
+       "<matplotlib.figure.Figure at 0x1cf12bfb550>"
       ]
      },
      "metadata": {},
@@ -8025,8 +2670,7 @@
     "\n",
     "belief = [.05, .05, .05, .05, .55, .05, .05, .05, .05, .05]\n",
     "prior = predict(belief, offset=1, kernel=[.1, .8, .1])\n",
-    "with interactive_plot():\n",
-    "    bp.plot_belief_vs_prior(belief, prior, ylim=(0,0.6))"
+    "bp.plot_belief_vs_prior(belief, prior, ylim=(0,0.6))"
    ]
   },
   {
@@ -8047,775 +2691,9 @@
    "outputs": [
     {
      "data": {
-      "application/javascript": [
-       "/* Put everything inside the global mpl namespace */\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('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",
-       "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 = $('<div/>');\n",
-       "    this._root_extra_style(this.root)\n",
-       "    this.root.attr('style', 'display: inline-block');\n",
-       "\n",
-       "    $(parent_element).append(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",
-       "            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",
-       "        this.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 = $(\n",
-       "        '<div class=\"ui-dialog-titlebar ui-widget-header ui-corner-all ' +\n",
-       "        'ui-helper-clearfix\"/>');\n",
-       "    var titletext = $(\n",
-       "        '<div class=\"ui-dialog-title\" style=\"width: 100%; ' +\n",
-       "        'text-align: center; padding: 3px;\"/>');\n",
-       "    titlebar.append(titletext)\n",
-       "    this.root.append(titlebar);\n",
-       "    this.header = titletext[0];\n",
-       "}\n",
-       "\n",
-       "\n",
-       "\n",
-       "mpl.figure.prototype._canvas_extra_style = function(canvas_div) {\n",
-       "\n",
-       "}\n",
-       "\n",
-       "\n",
-       "mpl.figure.prototype._root_extra_style = function(canvas_div) {\n",
-       "\n",
-       "}\n",
-       "\n",
-       "mpl.figure.prototype._init_canvas = function() {\n",
-       "    var fig = this;\n",
-       "\n",
-       "    var canvas_div = $('<div/>');\n",
-       "\n",
-       "    canvas_div.attr('style', 'position: relative; clear: both; outline: 0');\n",
-       "\n",
-       "    function canvas_keyboard_event(event) {\n",
-       "        return fig.key_event(event, event['data']);\n",
-       "    }\n",
-       "\n",
-       "    canvas_div.keydown('key_press', canvas_keyboard_event);\n",
-       "    canvas_div.keyup('key_release', canvas_keyboard_event);\n",
-       "    this.canvas_div = canvas_div\n",
-       "    this._canvas_extra_style(canvas_div)\n",
-       "    this.root.append(canvas_div);\n",
-       "\n",
-       "    var canvas = $('<canvas/>');\n",
-       "    canvas.addClass('mpl-canvas');\n",
-       "    canvas.attr('style', \"left: 0; top: 0; z-index: 0; outline: 0\")\n",
-       "\n",
-       "    this.canvas = canvas[0];\n",
-       "    this.context = canvas[0].getContext(\"2d\");\n",
-       "\n",
-       "    var rubberband = $('<canvas/>');\n",
-       "    rubberband.attr('style', \"position: absolute; left: 0; top: 0; z-index: 1;\")\n",
-       "\n",
-       "    var pass_mouse_events = true;\n",
-       "\n",
-       "    canvas_div.resizable({\n",
-       "        start: function(event, ui) {\n",
-       "            pass_mouse_events = false;\n",
-       "        },\n",
-       "        resize: function(event, ui) {\n",
-       "            fig.request_resize(ui.size.width, ui.size.height);\n",
-       "        },\n",
-       "        stop: function(event, ui) {\n",
-       "            pass_mouse_events = true;\n",
-       "            fig.request_resize(ui.size.width, ui.size.height);\n",
-       "        },\n",
-       "    });\n",
-       "\n",
-       "    function mouse_event_fn(event) {\n",
-       "        if (pass_mouse_events)\n",
-       "            return fig.mouse_event(event, event['data']);\n",
-       "    }\n",
-       "\n",
-       "    rubberband.mousedown('button_press', mouse_event_fn);\n",
-       "    rubberband.mouseup('button_release', mouse_event_fn);\n",
-       "    // Throttle sequential mouse events to 1 every 20ms.\n",
-       "    rubberband.mousemove('motion_notify', mouse_event_fn);\n",
-       "\n",
-       "    rubberband.mouseenter('figure_enter', mouse_event_fn);\n",
-       "    rubberband.mouseleave('figure_leave', mouse_event_fn);\n",
-       "\n",
-       "    canvas_div.on(\"wheel\", function (event) {\n",
-       "        event = event.originalEvent;\n",
-       "        event['data'] = 'scroll'\n",
-       "        if (event.deltaY < 0) {\n",
-       "            event.step = 1;\n",
-       "        } else {\n",
-       "            event.step = -1;\n",
-       "        }\n",
-       "        mouse_event_fn(event);\n",
-       "    });\n",
-       "\n",
-       "    canvas_div.append(canvas);\n",
-       "    canvas_div.append(rubberband);\n",
-       "\n",
-       "    this.rubberband = rubberband;\n",
-       "    this.rubberband_canvas = rubberband[0];\n",
-       "    this.rubberband_context = rubberband[0].getContext(\"2d\");\n",
-       "    this.rubberband_context.strokeStyle = \"#000000\";\n",
-       "\n",
-       "    this._resize_canvas = function(width, height) {\n",
-       "        // Keep the size of the canvas, canvas container, and rubber band\n",
-       "        // canvas in synch.\n",
-       "        canvas_div.css('width', width)\n",
-       "        canvas_div.css('height', height)\n",
-       "\n",
-       "        canvas.attr('width', width);\n",
-       "        canvas.attr('height', height);\n",
-       "\n",
-       "        rubberband.attr('width', width);\n",
-       "        rubberband.attr('height', height);\n",
-       "    }\n",
-       "\n",
-       "    // Set the figure to an initial 600x600px, this will subsequently be updated\n",
-       "    // upon first draw.\n",
-       "    this._resize_canvas(600, 600);\n",
-       "\n",
-       "    // Disable right mouse context menu.\n",
-       "    $(this.rubberband_canvas).bind(\"contextmenu\",function(e){\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 nav_element = $('<div/>')\n",
-       "    nav_element.attr('style', 'width: 100%');\n",
-       "    this.root.append(nav_element);\n",
-       "\n",
-       "    // Define a callback function for later on.\n",
-       "    function toolbar_event(event) {\n",
-       "        return fig.toolbar_button_onclick(event['data']);\n",
-       "    }\n",
-       "    function toolbar_mouse_event(event) {\n",
-       "        return fig.toolbar_button_onmouseover(event['data']);\n",
-       "    }\n",
-       "\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",
-       "            // put a spacer in here.\n",
-       "            continue;\n",
-       "        }\n",
-       "        var button = $('<button/>');\n",
-       "        button.addClass('ui-button ui-widget ui-state-default ui-corner-all ' +\n",
-       "                        'ui-button-icon-only');\n",
-       "        button.attr('role', 'button');\n",
-       "        button.attr('aria-disabled', 'false');\n",
-       "        button.click(method_name, toolbar_event);\n",
-       "        button.mouseover(tooltip, toolbar_mouse_event);\n",
-       "\n",
-       "        var icon_img = $('<span/>');\n",
-       "        icon_img.addClass('ui-button-icon-primary ui-icon');\n",
-       "        icon_img.addClass(image);\n",
-       "        icon_img.addClass('ui-corner-all');\n",
-       "\n",
-       "        var tooltip_span = $('<span/>');\n",
-       "        tooltip_span.addClass('ui-button-text');\n",
-       "        tooltip_span.html(tooltip);\n",
-       "\n",
-       "        button.append(icon_img);\n",
-       "        button.append(tooltip_span);\n",
-       "\n",
-       "        nav_element.append(button);\n",
-       "    }\n",
-       "\n",
-       "    var fmt_picker_span = $('<span/>');\n",
-       "\n",
-       "    var fmt_picker = $('<select/>');\n",
-       "    fmt_picker.addClass('mpl-toolbar-option ui-widget ui-widget-content');\n",
-       "    fmt_picker_span.append(fmt_picker);\n",
-       "    nav_element.append(fmt_picker_span);\n",
-       "    this.format_dropdown = fmt_picker[0];\n",
-       "\n",
-       "    for (var ind in mpl.extensions) {\n",
-       "        var fmt = mpl.extensions[ind];\n",
-       "        var option = $(\n",
-       "            '<option/>', {selected: fmt === mpl.default_extension}).html(fmt);\n",
-       "        fmt_picker.append(option)\n",
-       "    }\n",
-       "\n",
-       "    // Add hover states to the ui-buttons\n",
-       "    $( \".ui-button\" ).hover(\n",
-       "        function() { $(this).addClass(\"ui-state-hover\");},\n",
-       "        function() { $(this).removeClass(\"ui-state-hover\");}\n",
-       "    );\n",
-       "\n",
-       "    var status_bar = $('<span class=\"mpl-message\"/>');\n",
-       "    nav_element.append(status_bar);\n",
-       "    this.message = status_bar[0];\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",
-       "\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",
-       "\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]);\n",
-       "        fig.send_message(\"refresh\", {});\n",
-       "    };\n",
-       "}\n",
-       "\n",
-       "mpl.figure.prototype.handle_rubberband = function(fig, msg) {\n",
-       "    var x0 = msg['x0'];\n",
-       "    var y0 = fig.canvas.height - msg['y0'];\n",
-       "    var x1 = msg['x1'];\n",
-       "    var y1 = fig.canvas.height - msg['y1'];\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, 0, fig.canvas.width, fig.canvas.height);\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",
-       "    {\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.updated_canvas_event = function() {\n",
-       "    // Called whenever the canvas gets updated.\n",
-       "    this.send_message(\"ack\", {});\n",
-       "}\n",
-       "\n",
-       "// A function to construct a web socket function for onmessage handling.\n",
-       "// Called in the figure constructor.\n",
-       "mpl.figure.prototype._make_on_message_function = function(fig) {\n",
-       "    return function socket_on_message(evt) {\n",
-       "        if (evt.data instanceof Blob) {\n",
-       "            /* FIXME: We get \"Resource interpreted as Image but\n",
-       "             * transferred with MIME type text/plain:\" errors on\n",
-       "             * Chrome.  But how to set the MIME type?  It doesn't seem\n",
-       "             * to be part of the websocket stream */\n",
-       "            evt.data.type = \"image/png\";\n",
-       "\n",
-       "            /* Free the memory for the previous frames */\n",
-       "            if (fig.imageObj.src) {\n",
-       "                (window.URL || window.webkitURL).revokeObjectURL(\n",
-       "                    fig.imageObj.src);\n",
-       "            }\n",
-       "\n",
-       "            fig.imageObj.src = (window.URL || window.webkitURL).createObjectURL(\n",
-       "                evt.data);\n",
-       "            fig.updated_canvas_event();\n",
-       "            fig.waiting = false;\n",
-       "            return;\n",
-       "        }\n",
-       "        else if (typeof evt.data === 'string' && evt.data.slice(0, 21) == \"data:image/png;base64\") {\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(\"No handler for the '\" + msg_type + \"' message type: \", msg);\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(\"Exception inside the 'handler_\" + msg_type + \"' callback:\", e, e.stack, msg);\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",
-       "    if (e.target)\n",
-       "        targ = e.target;\n",
-       "    else if (e.srcElement)\n",
-       "        targ = e.srcElement;\n",
-       "    if (targ.nodeType == 3) // defeat Safari bug\n",
-       "        targ = targ.parentNode;\n",
-       "\n",
-       "    // jQuery normalizes the pageX and pageY\n",
-       "    // pageX,Y are the mouse positions relative to the document\n",
-       "    // offset() returns the position of the element relative to the document\n",
-       "    var x = e.pageX - $(targ).offset().left;\n",
-       "    var y = e.pageY - $(targ).offset().top;\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",
-       "    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",
-       "    {\n",
-       "        this.canvas.focus();\n",
-       "        this.canvas_div.focus();\n",
-       "    }\n",
-       "\n",
-       "    var x = canvas_pos.x;\n",
-       "    var y = canvas_pos.y;\n",
-       "\n",
-       "    this.send_message(name, {x: x, y: y, button: event.button,\n",
-       "                             step: event.step,\n",
-       "                             guiEvent: simpleKeys(event)});\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",
-       "\n",
-       "    // Prevent repeat events\n",
-       "    if (name == 'key_press')\n",
-       "    {\n",
-       "        if (event.which === this._key)\n",
-       "            return;\n",
-       "        else\n",
-       "            this._key = event.which;\n",
-       "    }\n",
-       "    if (name == 'key_release')\n",
-       "        this._key = null;\n",
-       "\n",
-       "    var value = '';\n",
-       "    if (event.ctrlKey && event.which != 17)\n",
-       "        value += \"ctrl+\";\n",
-       "    if (event.altKey && event.which != 18)\n",
-       "        value += \"alt+\";\n",
-       "    if (event.shiftKey && event.which != 16)\n",
-       "        value += \"shift+\";\n",
-       "\n",
-       "    value += 'k';\n",
-       "    value += event.which.toString();\n",
-       "\n",
-       "    this._key_event_extra(event, name);\n",
-       "\n",
-       "    this.send_message(name, {key: value,\n",
-       "                             guiEvent: simpleKeys(event)});\n",
-       "    return false;\n",
-       "}\n",
-       "\n",
-       "mpl.figure.prototype.toolbar_button_onclick = function(name) {\n",
-       "    if (name == 'download') {\n",
-       "        this.handle_save(this, null);\n",
-       "    } else {\n",
-       "        this.send_message(\"toolbar_button\", {name: name});\n",
-       "    }\n",
-       "};\n",
-       "\n",
-       "mpl.figure.prototype.toolbar_button_onmouseover = function(tooltip) {\n",
-       "    this.message.textContent = tooltip;\n",
-       "};\n",
-       "mpl.toolbar_items = [[\"Home\", \"Reset original view\", \"fa fa-home icon-home\", \"home\"], [\"Back\", \"Back to  previous view\", \"fa fa-arrow-left icon-arrow-left\", \"back\"], [\"Forward\", \"Forward to next view\", \"fa fa-arrow-right icon-arrow-right\", \"forward\"], [\"\", \"\", \"\", \"\"], [\"Pan\", \"Pan axes with left mouse, zoom with right\", \"fa fa-arrows icon-move\", \"pan\"], [\"Zoom\", \"Zoom to rectangle\", \"fa fa-square-o icon-check-empty\", \"zoom\"], [\"\", \"\", \"\", \"\"], [\"Download\", \"Download plot\", \"fa fa-floppy-o icon-save\", \"download\"]];\n",
-       "\n",
-       "mpl.extensions = [\"eps\", \"jpeg\", \"pdf\", \"png\", \"ps\", \"raw\", \"svg\", \"tif\"];\n",
-       "\n",
-       "mpl.default_extension = \"png\";var comm_websocket_adapter = function(comm) {\n",
-       "    // Create a \"websocket\"-like object which calls the given IPython comm\n",
-       "    // object with the appropriate methods. Currently this is a non binary\n",
-       "    // socket, so there is still some room for performance tuning.\n",
-       "    var ws = {};\n",
-       "\n",
-       "    ws.close = function() {\n",
-       "        comm.close()\n",
-       "    };\n",
-       "    ws.send = function(m) {\n",
-       "        //console.log('sending', m);\n",
-       "        comm.send(m);\n",
-       "    };\n",
-       "    // Register the callback with on_msg.\n",
-       "    comm.on_msg(function(msg) {\n",
-       "        //console.log('receiving', msg['content']['data'], msg);\n",
-       "        // Pass the mpl event to the overriden (by mpl) onmessage function.\n",
-       "        ws.onmessage(msg['content']['data'])\n",
-       "    });\n",
-       "    return ws;\n",
-       "}\n",
-       "\n",
-       "mpl.mpl_figure_comm = function(comm, msg) {\n",
-       "    // This is the function which gets called when the mpl process\n",
-       "    // starts-up an IPython Comm through the \"matplotlib\" channel.\n",
-       "\n",
-       "    var id = msg.content.data.id;\n",
-       "    // Get hold of the div created by the display call when the Comm\n",
-       "    // socket was opened in Python.\n",
-       "    var element = $(\"#\" + id);\n",
-       "    var ws_proxy = comm_websocket_adapter(comm)\n",
-       "\n",
-       "    function ondownload(figure, format) {\n",
-       "        window.open(figure.imageObj.src);\n",
-       "    }\n",
-       "\n",
-       "    var fig = new mpl.figure(id, ws_proxy,\n",
-       "                           ondownload,\n",
-       "                           element.get(0));\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.get(0);\n",
-       "    fig.cell_info = mpl.find_output_cell(\"<div id='\" + id + \"'></div>\");\n",
-       "    if (!fig.cell_info) {\n",
-       "        console.error(\"Failed to find cell for figure\", id, fig);\n",
-       "        return;\n",
-       "    }\n",
-       "\n",
-       "    var output_index = fig.cell_info[2]\n",
-       "    var cell = fig.cell_info[0];\n",
-       "\n",
-       "};\n",
-       "\n",
-       "mpl.figure.prototype.handle_close = function(fig, msg) {\n",
-       "    fig.root.unbind('remove')\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).html('<img src=\"' + dataURL + '\">');\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 dataURL = this.canvas.toDataURL();\n",
-       "    this.cell_info[1]['text/html'] = '<img src=\"' + dataURL + '\">';\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 () { fig.push_to_output() }, 1000);\n",
-       "}\n",
-       "\n",
-       "mpl.figure.prototype._init_toolbar = function() {\n",
-       "    var fig = this;\n",
-       "\n",
-       "    var nav_element = $('<div/>')\n",
-       "    nav_element.attr('style', 'width: 100%');\n",
-       "    this.root.append(nav_element);\n",
-       "\n",
-       "    // Define a callback function for later on.\n",
-       "    function toolbar_event(event) {\n",
-       "        return fig.toolbar_button_onclick(event['data']);\n",
-       "    }\n",
-       "    function toolbar_mouse_event(event) {\n",
-       "        return fig.toolbar_button_onmouseover(event['data']);\n",
-       "    }\n",
-       "\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) { continue; };\n",
-       "\n",
-       "        var button = $('<button class=\"btn btn-default\" href=\"#\" title=\"' + name + '\"><i class=\"fa ' + image + ' fa-lg\"></i></button>');\n",
-       "        button.click(method_name, toolbar_event);\n",
-       "        button.mouseover(tooltip, toolbar_mouse_event);\n",
-       "        nav_element.append(button);\n",
-       "    }\n",
-       "\n",
-       "    // Add the status bar.\n",
-       "    var status_bar = $('<span class=\"mpl-message\" style=\"text-align:right; float: right;\"/>');\n",
-       "    nav_element.append(status_bar);\n",
-       "    this.message = status_bar[0];\n",
-       "\n",
-       "    // Add the close button to the window.\n",
-       "    var buttongrp = $('<div class=\"btn-group inline pull-right\"></div>');\n",
-       "    var button = $('<button class=\"btn btn-mini btn-primary\" href=\"#\" title=\"Stop Interaction\"><i class=\"fa fa-power-off icon-remove icon-large\"></i></button>');\n",
-       "    button.click(function (evt) { fig.handle_close(fig, {}); } );\n",
-       "    button.mouseover('Stop Interaction', toolbar_mouse_event);\n",
-       "    buttongrp.append(button);\n",
-       "    var titlebar = this.root.find($('.ui-dialog-titlebar'));\n",
-       "    titlebar.prepend(buttongrp);\n",
-       "}\n",
-       "\n",
-       "mpl.figure.prototype._root_extra_style = function(el){\n",
-       "    var fig = this\n",
-       "    el.on(\"remove\", function(){\n",
-       "\tfig.close_ws(fig, {});\n",
-       "    });\n",
-       "}\n",
-       "\n",
-       "mpl.figure.prototype._canvas_extra_style = function(el){\n",
-       "    // this is important to make the div 'focusable\n",
-       "    el.attr('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",
-       "    }\n",
-       "    else {\n",
-       "        // location in version 2\n",
-       "        IPython.keyboard_manager.register_events(el);\n",
-       "    }\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",
-       "    // Check for shift+enter\n",
-       "    if (event.shiftKey && event.which == 13) {\n",
-       "        this.canvas_div.blur();\n",
-       "        event.shiftKey = false;\n",
-       "        // Send a \"J\" for go to next cell\n",
-       "        event.which = 74;\n",
-       "        event.keyCode = 74;\n",
-       "        manager.command_mode();\n",
-       "        manager.handle_keydown(event);\n",
-       "    }\n",
-       "}\n",
-       "\n",
-       "mpl.figure.prototype.handle_save = function(fig, msg) {\n",
-       "    fig.ondownload(fig, null);\n",
-       "}\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('matplotlib', mpl.mpl_figure_comm);\n",
-       "}\n"
-      ],
+      "image/png": "iVBORw0KGgoAAAANSUhEUgAAAhkAAACbCAYAAADP/YlxAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\n",
       "text/plain": [
-       "<IPython.core.display.Javascript object>"
-      ]
-     },
-     "metadata": {},
-     "output_type": "display_data"
-    },
-    {
-     "data": {
-      "text/html": [
-       "<img src=\"data:image/png;base64,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\">"
-      ],
-      "text/plain": [
-       "<IPython.core.display.HTML object>"
+       "<matplotlib.figure.Figure at 0x1cf132a9128>"
       ]
      },
      "metadata": {},
@@ -8824,8 +2702,7 @@
    ],
    "source": [
     "prior = predict(belief, offset=3, kernel=[.05, .05, .6, .2, .1])\n",
-    "with interactive_plot():\n",
-    "    bp.plot_belief_vs_prior(belief, prior, ylim=(0,0.6))"
+    "bp.plot_belief_vs_prior(belief, prior, ylim=(0,0.6))"
    ]
   },
   {
@@ -8872,775 +2749,9 @@
    "outputs": [
     {
      "data": {
-      "application/javascript": [
-       "/* Put everything inside the global mpl namespace */\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('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",
-       "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 = $('<div/>');\n",
-       "    this._root_extra_style(this.root)\n",
-       "    this.root.attr('style', 'display: inline-block');\n",
-       "\n",
-       "    $(parent_element).append(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",
-       "            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",
-       "        this.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 = $(\n",
-       "        '<div class=\"ui-dialog-titlebar ui-widget-header ui-corner-all ' +\n",
-       "        'ui-helper-clearfix\"/>');\n",
-       "    var titletext = $(\n",
-       "        '<div class=\"ui-dialog-title\" style=\"width: 100%; ' +\n",
-       "        'text-align: center; padding: 3px;\"/>');\n",
-       "    titlebar.append(titletext)\n",
-       "    this.root.append(titlebar);\n",
-       "    this.header = titletext[0];\n",
-       "}\n",
-       "\n",
-       "\n",
-       "\n",
-       "mpl.figure.prototype._canvas_extra_style = function(canvas_div) {\n",
-       "\n",
-       "}\n",
-       "\n",
-       "\n",
-       "mpl.figure.prototype._root_extra_style = function(canvas_div) {\n",
-       "\n",
-       "}\n",
-       "\n",
-       "mpl.figure.prototype._init_canvas = function() {\n",
-       "    var fig = this;\n",
-       "\n",
-       "    var canvas_div = $('<div/>');\n",
-       "\n",
-       "    canvas_div.attr('style', 'position: relative; clear: both; outline: 0');\n",
-       "\n",
-       "    function canvas_keyboard_event(event) {\n",
-       "        return fig.key_event(event, event['data']);\n",
-       "    }\n",
-       "\n",
-       "    canvas_div.keydown('key_press', canvas_keyboard_event);\n",
-       "    canvas_div.keyup('key_release', canvas_keyboard_event);\n",
-       "    this.canvas_div = canvas_div\n",
-       "    this._canvas_extra_style(canvas_div)\n",
-       "    this.root.append(canvas_div);\n",
-       "\n",
-       "    var canvas = $('<canvas/>');\n",
-       "    canvas.addClass('mpl-canvas');\n",
-       "    canvas.attr('style', \"left: 0; top: 0; z-index: 0; outline: 0\")\n",
-       "\n",
-       "    this.canvas = canvas[0];\n",
-       "    this.context = canvas[0].getContext(\"2d\");\n",
-       "\n",
-       "    var rubberband = $('<canvas/>');\n",
-       "    rubberband.attr('style', \"position: absolute; left: 0; top: 0; z-index: 1;\")\n",
-       "\n",
-       "    var pass_mouse_events = true;\n",
-       "\n",
-       "    canvas_div.resizable({\n",
-       "        start: function(event, ui) {\n",
-       "            pass_mouse_events = false;\n",
-       "        },\n",
-       "        resize: function(event, ui) {\n",
-       "            fig.request_resize(ui.size.width, ui.size.height);\n",
-       "        },\n",
-       "        stop: function(event, ui) {\n",
-       "            pass_mouse_events = true;\n",
-       "            fig.request_resize(ui.size.width, ui.size.height);\n",
-       "        },\n",
-       "    });\n",
-       "\n",
-       "    function mouse_event_fn(event) {\n",
-       "        if (pass_mouse_events)\n",
-       "            return fig.mouse_event(event, event['data']);\n",
-       "    }\n",
-       "\n",
-       "    rubberband.mousedown('button_press', mouse_event_fn);\n",
-       "    rubberband.mouseup('button_release', mouse_event_fn);\n",
-       "    // Throttle sequential mouse events to 1 every 20ms.\n",
-       "    rubberband.mousemove('motion_notify', mouse_event_fn);\n",
-       "\n",
-       "    rubberband.mouseenter('figure_enter', mouse_event_fn);\n",
-       "    rubberband.mouseleave('figure_leave', mouse_event_fn);\n",
-       "\n",
-       "    canvas_div.on(\"wheel\", function (event) {\n",
-       "        event = event.originalEvent;\n",
-       "        event['data'] = 'scroll'\n",
-       "        if (event.deltaY < 0) {\n",
-       "            event.step = 1;\n",
-       "        } else {\n",
-       "            event.step = -1;\n",
-       "        }\n",
-       "        mouse_event_fn(event);\n",
-       "    });\n",
-       "\n",
-       "    canvas_div.append(canvas);\n",
-       "    canvas_div.append(rubberband);\n",
-       "\n",
-       "    this.rubberband = rubberband;\n",
-       "    this.rubberband_canvas = rubberband[0];\n",
-       "    this.rubberband_context = rubberband[0].getContext(\"2d\");\n",
-       "    this.rubberband_context.strokeStyle = \"#000000\";\n",
-       "\n",
-       "    this._resize_canvas = function(width, height) {\n",
-       "        // Keep the size of the canvas, canvas container, and rubber band\n",
-       "        // canvas in synch.\n",
-       "        canvas_div.css('width', width)\n",
-       "        canvas_div.css('height', height)\n",
-       "\n",
-       "        canvas.attr('width', width);\n",
-       "        canvas.attr('height', height);\n",
-       "\n",
-       "        rubberband.attr('width', width);\n",
-       "        rubberband.attr('height', height);\n",
-       "    }\n",
-       "\n",
-       "    // Set the figure to an initial 600x600px, this will subsequently be updated\n",
-       "    // upon first draw.\n",
-       "    this._resize_canvas(600, 600);\n",
-       "\n",
-       "    // Disable right mouse context menu.\n",
-       "    $(this.rubberband_canvas).bind(\"contextmenu\",function(e){\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 nav_element = $('<div/>')\n",
-       "    nav_element.attr('style', 'width: 100%');\n",
-       "    this.root.append(nav_element);\n",
-       "\n",
-       "    // Define a callback function for later on.\n",
-       "    function toolbar_event(event) {\n",
-       "        return fig.toolbar_button_onclick(event['data']);\n",
-       "    }\n",
-       "    function toolbar_mouse_event(event) {\n",
-       "        return fig.toolbar_button_onmouseover(event['data']);\n",
-       "    }\n",
-       "\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",
-       "            // put a spacer in here.\n",
-       "            continue;\n",
-       "        }\n",
-       "        var button = $('<button/>');\n",
-       "        button.addClass('ui-button ui-widget ui-state-default ui-corner-all ' +\n",
-       "                        'ui-button-icon-only');\n",
-       "        button.attr('role', 'button');\n",
-       "        button.attr('aria-disabled', 'false');\n",
-       "        button.click(method_name, toolbar_event);\n",
-       "        button.mouseover(tooltip, toolbar_mouse_event);\n",
-       "\n",
-       "        var icon_img = $('<span/>');\n",
-       "        icon_img.addClass('ui-button-icon-primary ui-icon');\n",
-       "        icon_img.addClass(image);\n",
-       "        icon_img.addClass('ui-corner-all');\n",
-       "\n",
-       "        var tooltip_span = $('<span/>');\n",
-       "        tooltip_span.addClass('ui-button-text');\n",
-       "        tooltip_span.html(tooltip);\n",
-       "\n",
-       "        button.append(icon_img);\n",
-       "        button.append(tooltip_span);\n",
-       "\n",
-       "        nav_element.append(button);\n",
-       "    }\n",
-       "\n",
-       "    var fmt_picker_span = $('<span/>');\n",
-       "\n",
-       "    var fmt_picker = $('<select/>');\n",
-       "    fmt_picker.addClass('mpl-toolbar-option ui-widget ui-widget-content');\n",
-       "    fmt_picker_span.append(fmt_picker);\n",
-       "    nav_element.append(fmt_picker_span);\n",
-       "    this.format_dropdown = fmt_picker[0];\n",
-       "\n",
-       "    for (var ind in mpl.extensions) {\n",
-       "        var fmt = mpl.extensions[ind];\n",
-       "        var option = $(\n",
-       "            '<option/>', {selected: fmt === mpl.default_extension}).html(fmt);\n",
-       "        fmt_picker.append(option)\n",
-       "    }\n",
-       "\n",
-       "    // Add hover states to the ui-buttons\n",
-       "    $( \".ui-button\" ).hover(\n",
-       "        function() { $(this).addClass(\"ui-state-hover\");},\n",
-       "        function() { $(this).removeClass(\"ui-state-hover\");}\n",
-       "    );\n",
-       "\n",
-       "    var status_bar = $('<span class=\"mpl-message\"/>');\n",
-       "    nav_element.append(status_bar);\n",
-       "    this.message = status_bar[0];\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",
-       "\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",
-       "\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]);\n",
-       "        fig.send_message(\"refresh\", {});\n",
-       "    };\n",
-       "}\n",
-       "\n",
-       "mpl.figure.prototype.handle_rubberband = function(fig, msg) {\n",
-       "    var x0 = msg['x0'];\n",
-       "    var y0 = fig.canvas.height - msg['y0'];\n",
-       "    var x1 = msg['x1'];\n",
-       "    var y1 = fig.canvas.height - msg['y1'];\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, 0, fig.canvas.width, fig.canvas.height);\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",
-       "    {\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.updated_canvas_event = function() {\n",
-       "    // Called whenever the canvas gets updated.\n",
-       "    this.send_message(\"ack\", {});\n",
-       "}\n",
-       "\n",
-       "// A function to construct a web socket function for onmessage handling.\n",
-       "// Called in the figure constructor.\n",
-       "mpl.figure.prototype._make_on_message_function = function(fig) {\n",
-       "    return function socket_on_message(evt) {\n",
-       "        if (evt.data instanceof Blob) {\n",
-       "            /* FIXME: We get \"Resource interpreted as Image but\n",
-       "             * transferred with MIME type text/plain:\" errors on\n",
-       "             * Chrome.  But how to set the MIME type?  It doesn't seem\n",
-       "             * to be part of the websocket stream */\n",
-       "            evt.data.type = \"image/png\";\n",
-       "\n",
-       "            /* Free the memory for the previous frames */\n",
-       "            if (fig.imageObj.src) {\n",
-       "                (window.URL || window.webkitURL).revokeObjectURL(\n",
-       "                    fig.imageObj.src);\n",
-       "            }\n",
-       "\n",
-       "            fig.imageObj.src = (window.URL || window.webkitURL).createObjectURL(\n",
-       "                evt.data);\n",
-       "            fig.updated_canvas_event();\n",
-       "            fig.waiting = false;\n",
-       "            return;\n",
-       "        }\n",
-       "        else if (typeof evt.data === 'string' && evt.data.slice(0, 21) == \"data:image/png;base64\") {\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(\"No handler for the '\" + msg_type + \"' message type: \", msg);\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(\"Exception inside the 'handler_\" + msg_type + \"' callback:\", e, e.stack, msg);\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",
-       "    if (e.target)\n",
-       "        targ = e.target;\n",
-       "    else if (e.srcElement)\n",
-       "        targ = e.srcElement;\n",
-       "    if (targ.nodeType == 3) // defeat Safari bug\n",
-       "        targ = targ.parentNode;\n",
-       "\n",
-       "    // jQuery normalizes the pageX and pageY\n",
-       "    // pageX,Y are the mouse positions relative to the document\n",
-       "    // offset() returns the position of the element relative to the document\n",
-       "    var x = e.pageX - $(targ).offset().left;\n",
-       "    var y = e.pageY - $(targ).offset().top;\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",
-       "    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",
-       "    {\n",
-       "        this.canvas.focus();\n",
-       "        this.canvas_div.focus();\n",
-       "    }\n",
-       "\n",
-       "    var x = canvas_pos.x;\n",
-       "    var y = canvas_pos.y;\n",
-       "\n",
-       "    this.send_message(name, {x: x, y: y, button: event.button,\n",
-       "                             step: event.step,\n",
-       "                             guiEvent: simpleKeys(event)});\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",
-       "\n",
-       "    // Prevent repeat events\n",
-       "    if (name == 'key_press')\n",
-       "    {\n",
-       "        if (event.which === this._key)\n",
-       "            return;\n",
-       "        else\n",
-       "            this._key = event.which;\n",
-       "    }\n",
-       "    if (name == 'key_release')\n",
-       "        this._key = null;\n",
-       "\n",
-       "    var value = '';\n",
-       "    if (event.ctrlKey && event.which != 17)\n",
-       "        value += \"ctrl+\";\n",
-       "    if (event.altKey && event.which != 18)\n",
-       "        value += \"alt+\";\n",
-       "    if (event.shiftKey && event.which != 16)\n",
-       "        value += \"shift+\";\n",
-       "\n",
-       "    value += 'k';\n",
-       "    value += event.which.toString();\n",
-       "\n",
-       "    this._key_event_extra(event, name);\n",
-       "\n",
-       "    this.send_message(name, {key: value,\n",
-       "                             guiEvent: simpleKeys(event)});\n",
-       "    return false;\n",
-       "}\n",
-       "\n",
-       "mpl.figure.prototype.toolbar_button_onclick = function(name) {\n",
-       "    if (name == 'download') {\n",
-       "        this.handle_save(this, null);\n",
-       "    } else {\n",
-       "        this.send_message(\"toolbar_button\", {name: name});\n",
-       "    }\n",
-       "};\n",
-       "\n",
-       "mpl.figure.prototype.toolbar_button_onmouseover = function(tooltip) {\n",
-       "    this.message.textContent = tooltip;\n",
-       "};\n",
-       "mpl.toolbar_items = [[\"Home\", \"Reset original view\", \"fa fa-home icon-home\", \"home\"], [\"Back\", \"Back to  previous view\", \"fa fa-arrow-left icon-arrow-left\", \"back\"], [\"Forward\", \"Forward to next view\", \"fa fa-arrow-right icon-arrow-right\", \"forward\"], [\"\", \"\", \"\", \"\"], [\"Pan\", \"Pan axes with left mouse, zoom with right\", \"fa fa-arrows icon-move\", \"pan\"], [\"Zoom\", \"Zoom to rectangle\", \"fa fa-square-o icon-check-empty\", \"zoom\"], [\"\", \"\", \"\", \"\"], [\"Download\", \"Download plot\", \"fa fa-floppy-o icon-save\", \"download\"]];\n",
-       "\n",
-       "mpl.extensions = [\"eps\", \"jpeg\", \"pdf\", \"png\", \"ps\", \"raw\", \"svg\", \"tif\"];\n",
-       "\n",
-       "mpl.default_extension = \"png\";var comm_websocket_adapter = function(comm) {\n",
-       "    // Create a \"websocket\"-like object which calls the given IPython comm\n",
-       "    // object with the appropriate methods. Currently this is a non binary\n",
-       "    // socket, so there is still some room for performance tuning.\n",
-       "    var ws = {};\n",
-       "\n",
-       "    ws.close = function() {\n",
-       "        comm.close()\n",
-       "    };\n",
-       "    ws.send = function(m) {\n",
-       "        //console.log('sending', m);\n",
-       "        comm.send(m);\n",
-       "    };\n",
-       "    // Register the callback with on_msg.\n",
-       "    comm.on_msg(function(msg) {\n",
-       "        //console.log('receiving', msg['content']['data'], msg);\n",
-       "        // Pass the mpl event to the overriden (by mpl) onmessage function.\n",
-       "        ws.onmessage(msg['content']['data'])\n",
-       "    });\n",
-       "    return ws;\n",
-       "}\n",
-       "\n",
-       "mpl.mpl_figure_comm = function(comm, msg) {\n",
-       "    // This is the function which gets called when the mpl process\n",
-       "    // starts-up an IPython Comm through the \"matplotlib\" channel.\n",
-       "\n",
-       "    var id = msg.content.data.id;\n",
-       "    // Get hold of the div created by the display call when the Comm\n",
-       "    // socket was opened in Python.\n",
-       "    var element = $(\"#\" + id);\n",
-       "    var ws_proxy = comm_websocket_adapter(comm)\n",
-       "\n",
-       "    function ondownload(figure, format) {\n",
-       "        window.open(figure.imageObj.src);\n",
-       "    }\n",
-       "\n",
-       "    var fig = new mpl.figure(id, ws_proxy,\n",
-       "                           ondownload,\n",
-       "                           element.get(0));\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.get(0);\n",
-       "    fig.cell_info = mpl.find_output_cell(\"<div id='\" + id + \"'></div>\");\n",
-       "    if (!fig.cell_info) {\n",
-       "        console.error(\"Failed to find cell for figure\", id, fig);\n",
-       "        return;\n",
-       "    }\n",
-       "\n",
-       "    var output_index = fig.cell_info[2]\n",
-       "    var cell = fig.cell_info[0];\n",
-       "\n",
-       "};\n",
-       "\n",
-       "mpl.figure.prototype.handle_close = function(fig, msg) {\n",
-       "    fig.root.unbind('remove')\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).html('<img src=\"' + dataURL + '\">');\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 dataURL = this.canvas.toDataURL();\n",
-       "    this.cell_info[1]['text/html'] = '<img src=\"' + dataURL + '\">';\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 () { fig.push_to_output() }, 1000);\n",
-       "}\n",
-       "\n",
-       "mpl.figure.prototype._init_toolbar = function() {\n",
-       "    var fig = this;\n",
-       "\n",
-       "    var nav_element = $('<div/>')\n",
-       "    nav_element.attr('style', 'width: 100%');\n",
-       "    this.root.append(nav_element);\n",
-       "\n",
-       "    // Define a callback function for later on.\n",
-       "    function toolbar_event(event) {\n",
-       "        return fig.toolbar_button_onclick(event['data']);\n",
-       "    }\n",
-       "    function toolbar_mouse_event(event) {\n",
-       "        return fig.toolbar_button_onmouseover(event['data']);\n",
-       "    }\n",
-       "\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) { continue; };\n",
-       "\n",
-       "        var button = $('<button class=\"btn btn-default\" href=\"#\" title=\"' + name + '\"><i class=\"fa ' + image + ' fa-lg\"></i></button>');\n",
-       "        button.click(method_name, toolbar_event);\n",
-       "        button.mouseover(tooltip, toolbar_mouse_event);\n",
-       "        nav_element.append(button);\n",
-       "    }\n",
-       "\n",
-       "    // Add the status bar.\n",
-       "    var status_bar = $('<span class=\"mpl-message\" style=\"text-align:right; float: right;\"/>');\n",
-       "    nav_element.append(status_bar);\n",
-       "    this.message = status_bar[0];\n",
-       "\n",
-       "    // Add the close button to the window.\n",
-       "    var buttongrp = $('<div class=\"btn-group inline pull-right\"></div>');\n",
-       "    var button = $('<button class=\"btn btn-mini btn-primary\" href=\"#\" title=\"Stop Interaction\"><i class=\"fa fa-power-off icon-remove icon-large\"></i></button>');\n",
-       "    button.click(function (evt) { fig.handle_close(fig, {}); } );\n",
-       "    button.mouseover('Stop Interaction', toolbar_mouse_event);\n",
-       "    buttongrp.append(button);\n",
-       "    var titlebar = this.root.find($('.ui-dialog-titlebar'));\n",
-       "    titlebar.prepend(buttongrp);\n",
-       "}\n",
-       "\n",
-       "mpl.figure.prototype._root_extra_style = function(el){\n",
-       "    var fig = this\n",
-       "    el.on(\"remove\", function(){\n",
-       "\tfig.close_ws(fig, {});\n",
-       "    });\n",
-       "}\n",
-       "\n",
-       "mpl.figure.prototype._canvas_extra_style = function(el){\n",
-       "    // this is important to make the div 'focusable\n",
-       "    el.attr('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",
-       "    }\n",
-       "    else {\n",
-       "        // location in version 2\n",
-       "        IPython.keyboard_manager.register_events(el);\n",
-       "    }\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",
-       "    // Check for shift+enter\n",
-       "    if (event.shiftKey && event.which == 13) {\n",
-       "        this.canvas_div.blur();\n",
-       "        event.shiftKey = false;\n",
-       "        // Send a \"J\" for go to next cell\n",
-       "        event.which = 74;\n",
-       "        event.keyCode = 74;\n",
-       "        manager.command_mode();\n",
-       "        manager.handle_keydown(event);\n",
-       "    }\n",
-       "}\n",
-       "\n",
-       "mpl.figure.prototype.handle_save = function(fig, msg) {\n",
-       "    fig.ondownload(fig, null);\n",
-       "}\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('matplotlib', mpl.mpl_figure_comm);\n",
-       "}\n"
-      ],
+      "image/png": "iVBORw0KGgoAAAANSUhEUgAAAhkAAACbCAYAAADP/YlxAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\nQmCC\n",
       "text/plain": [
-       "<IPython.core.display.Javascript object>"
-      ]
-     },
-     "metadata": {},
-     "output_type": "display_data"
-    },
-    {
-     "data": {
-      "text/html": [
-       "<img src=\"data:image/png;base64,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\">"
-      ],
-      "text/plain": [
-       "<IPython.core.display.HTML object>"
+       "<matplotlib.figure.Figure at 0x1cf132a92b0>"
       ]
      },
      "metadata": {},
@@ -9654,8 +2765,7 @@
     "prior = np.array([.1] * 10)\n",
     "likelihood = lh_hallway(hallway, z=1, z_prob=.75)\n",
     "posterior = update(likelihood, prior)\n",
-    "with interactive_plot():\n",
-    "    bp.plot_prior_vs_posterior(prior, posterior, ylim=(0,.5))"
+    "bp.plot_prior_vs_posterior(prior, posterior, ylim=(0,.5))"
    ]
   },
   {
@@ -9674,775 +2784,9 @@
    "outputs": [
     {
      "data": {
-      "application/javascript": [
-       "/* Put everything inside the global mpl namespace */\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('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",
-       "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 = $('<div/>');\n",
-       "    this._root_extra_style(this.root)\n",
-       "    this.root.attr('style', 'display: inline-block');\n",
-       "\n",
-       "    $(parent_element).append(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",
-       "            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",
-       "        this.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 = $(\n",
-       "        '<div class=\"ui-dialog-titlebar ui-widget-header ui-corner-all ' +\n",
-       "        'ui-helper-clearfix\"/>');\n",
-       "    var titletext = $(\n",
-       "        '<div class=\"ui-dialog-title\" style=\"width: 100%; ' +\n",
-       "        'text-align: center; padding: 3px;\"/>');\n",
-       "    titlebar.append(titletext)\n",
-       "    this.root.append(titlebar);\n",
-       "    this.header = titletext[0];\n",
-       "}\n",
-       "\n",
-       "\n",
-       "\n",
-       "mpl.figure.prototype._canvas_extra_style = function(canvas_div) {\n",
-       "\n",
-       "}\n",
-       "\n",
-       "\n",
-       "mpl.figure.prototype._root_extra_style = function(canvas_div) {\n",
-       "\n",
-       "}\n",
-       "\n",
-       "mpl.figure.prototype._init_canvas = function() {\n",
-       "    var fig = this;\n",
-       "\n",
-       "    var canvas_div = $('<div/>');\n",
-       "\n",
-       "    canvas_div.attr('style', 'position: relative; clear: both; outline: 0');\n",
-       "\n",
-       "    function canvas_keyboard_event(event) {\n",
-       "        return fig.key_event(event, event['data']);\n",
-       "    }\n",
-       "\n",
-       "    canvas_div.keydown('key_press', canvas_keyboard_event);\n",
-       "    canvas_div.keyup('key_release', canvas_keyboard_event);\n",
-       "    this.canvas_div = canvas_div\n",
-       "    this._canvas_extra_style(canvas_div)\n",
-       "    this.root.append(canvas_div);\n",
-       "\n",
-       "    var canvas = $('<canvas/>');\n",
-       "    canvas.addClass('mpl-canvas');\n",
-       "    canvas.attr('style', \"left: 0; top: 0; z-index: 0; outline: 0\")\n",
-       "\n",
-       "    this.canvas = canvas[0];\n",
-       "    this.context = canvas[0].getContext(\"2d\");\n",
-       "\n",
-       "    var rubberband = $('<canvas/>');\n",
-       "    rubberband.attr('style', \"position: absolute; left: 0; top: 0; z-index: 1;\")\n",
-       "\n",
-       "    var pass_mouse_events = true;\n",
-       "\n",
-       "    canvas_div.resizable({\n",
-       "        start: function(event, ui) {\n",
-       "            pass_mouse_events = false;\n",
-       "        },\n",
-       "        resize: function(event, ui) {\n",
-       "            fig.request_resize(ui.size.width, ui.size.height);\n",
-       "        },\n",
-       "        stop: function(event, ui) {\n",
-       "            pass_mouse_events = true;\n",
-       "            fig.request_resize(ui.size.width, ui.size.height);\n",
-       "        },\n",
-       "    });\n",
-       "\n",
-       "    function mouse_event_fn(event) {\n",
-       "        if (pass_mouse_events)\n",
-       "            return fig.mouse_event(event, event['data']);\n",
-       "    }\n",
-       "\n",
-       "    rubberband.mousedown('button_press', mouse_event_fn);\n",
-       "    rubberband.mouseup('button_release', mouse_event_fn);\n",
-       "    // Throttle sequential mouse events to 1 every 20ms.\n",
-       "    rubberband.mousemove('motion_notify', mouse_event_fn);\n",
-       "\n",
-       "    rubberband.mouseenter('figure_enter', mouse_event_fn);\n",
-       "    rubberband.mouseleave('figure_leave', mouse_event_fn);\n",
-       "\n",
-       "    canvas_div.on(\"wheel\", function (event) {\n",
-       "        event = event.originalEvent;\n",
-       "        event['data'] = 'scroll'\n",
-       "        if (event.deltaY < 0) {\n",
-       "            event.step = 1;\n",
-       "        } else {\n",
-       "            event.step = -1;\n",
-       "        }\n",
-       "        mouse_event_fn(event);\n",
-       "    });\n",
-       "\n",
-       "    canvas_div.append(canvas);\n",
-       "    canvas_div.append(rubberband);\n",
-       "\n",
-       "    this.rubberband = rubberband;\n",
-       "    this.rubberband_canvas = rubberband[0];\n",
-       "    this.rubberband_context = rubberband[0].getContext(\"2d\");\n",
-       "    this.rubberband_context.strokeStyle = \"#000000\";\n",
-       "\n",
-       "    this._resize_canvas = function(width, height) {\n",
-       "        // Keep the size of the canvas, canvas container, and rubber band\n",
-       "        // canvas in synch.\n",
-       "        canvas_div.css('width', width)\n",
-       "        canvas_div.css('height', height)\n",
-       "\n",
-       "        canvas.attr('width', width);\n",
-       "        canvas.attr('height', height);\n",
-       "\n",
-       "        rubberband.attr('width', width);\n",
-       "        rubberband.attr('height', height);\n",
-       "    }\n",
-       "\n",
-       "    // Set the figure to an initial 600x600px, this will subsequently be updated\n",
-       "    // upon first draw.\n",
-       "    this._resize_canvas(600, 600);\n",
-       "\n",
-       "    // Disable right mouse context menu.\n",
-       "    $(this.rubberband_canvas).bind(\"contextmenu\",function(e){\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 nav_element = $('<div/>')\n",
-       "    nav_element.attr('style', 'width: 100%');\n",
-       "    this.root.append(nav_element);\n",
-       "\n",
-       "    // Define a callback function for later on.\n",
-       "    function toolbar_event(event) {\n",
-       "        return fig.toolbar_button_onclick(event['data']);\n",
-       "    }\n",
-       "    function toolbar_mouse_event(event) {\n",
-       "        return fig.toolbar_button_onmouseover(event['data']);\n",
-       "    }\n",
-       "\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",
-       "            // put a spacer in here.\n",
-       "            continue;\n",
-       "        }\n",
-       "        var button = $('<button/>');\n",
-       "        button.addClass('ui-button ui-widget ui-state-default ui-corner-all ' +\n",
-       "                        'ui-button-icon-only');\n",
-       "        button.attr('role', 'button');\n",
-       "        button.attr('aria-disabled', 'false');\n",
-       "        button.click(method_name, toolbar_event);\n",
-       "        button.mouseover(tooltip, toolbar_mouse_event);\n",
-       "\n",
-       "        var icon_img = $('<span/>');\n",
-       "        icon_img.addClass('ui-button-icon-primary ui-icon');\n",
-       "        icon_img.addClass(image);\n",
-       "        icon_img.addClass('ui-corner-all');\n",
-       "\n",
-       "        var tooltip_span = $('<span/>');\n",
-       "        tooltip_span.addClass('ui-button-text');\n",
-       "        tooltip_span.html(tooltip);\n",
-       "\n",
-       "        button.append(icon_img);\n",
-       "        button.append(tooltip_span);\n",
-       "\n",
-       "        nav_element.append(button);\n",
-       "    }\n",
-       "\n",
-       "    var fmt_picker_span = $('<span/>');\n",
-       "\n",
-       "    var fmt_picker = $('<select/>');\n",
-       "    fmt_picker.addClass('mpl-toolbar-option ui-widget ui-widget-content');\n",
-       "    fmt_picker_span.append(fmt_picker);\n",
-       "    nav_element.append(fmt_picker_span);\n",
-       "    this.format_dropdown = fmt_picker[0];\n",
-       "\n",
-       "    for (var ind in mpl.extensions) {\n",
-       "        var fmt = mpl.extensions[ind];\n",
-       "        var option = $(\n",
-       "            '<option/>', {selected: fmt === mpl.default_extension}).html(fmt);\n",
-       "        fmt_picker.append(option)\n",
-       "    }\n",
-       "\n",
-       "    // Add hover states to the ui-buttons\n",
-       "    $( \".ui-button\" ).hover(\n",
-       "        function() { $(this).addClass(\"ui-state-hover\");},\n",
-       "        function() { $(this).removeClass(\"ui-state-hover\");}\n",
-       "    );\n",
-       "\n",
-       "    var status_bar = $('<span class=\"mpl-message\"/>');\n",
-       "    nav_element.append(status_bar);\n",
-       "    this.message = status_bar[0];\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",
-       "\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",
-       "\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]);\n",
-       "        fig.send_message(\"refresh\", {});\n",
-       "    };\n",
-       "}\n",
-       "\n",
-       "mpl.figure.prototype.handle_rubberband = function(fig, msg) {\n",
-       "    var x0 = msg['x0'];\n",
-       "    var y0 = fig.canvas.height - msg['y0'];\n",
-       "    var x1 = msg['x1'];\n",
-       "    var y1 = fig.canvas.height - msg['y1'];\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, 0, fig.canvas.width, fig.canvas.height);\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",
-       "    {\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.updated_canvas_event = function() {\n",
-       "    // Called whenever the canvas gets updated.\n",
-       "    this.send_message(\"ack\", {});\n",
-       "}\n",
-       "\n",
-       "// A function to construct a web socket function for onmessage handling.\n",
-       "// Called in the figure constructor.\n",
-       "mpl.figure.prototype._make_on_message_function = function(fig) {\n",
-       "    return function socket_on_message(evt) {\n",
-       "        if (evt.data instanceof Blob) {\n",
-       "            /* FIXME: We get \"Resource interpreted as Image but\n",
-       "             * transferred with MIME type text/plain:\" errors on\n",
-       "             * Chrome.  But how to set the MIME type?  It doesn't seem\n",
-       "             * to be part of the websocket stream */\n",
-       "            evt.data.type = \"image/png\";\n",
-       "\n",
-       "            /* Free the memory for the previous frames */\n",
-       "            if (fig.imageObj.src) {\n",
-       "                (window.URL || window.webkitURL).revokeObjectURL(\n",
-       "                    fig.imageObj.src);\n",
-       "            }\n",
-       "\n",
-       "            fig.imageObj.src = (window.URL || window.webkitURL).createObjectURL(\n",
-       "                evt.data);\n",
-       "            fig.updated_canvas_event();\n",
-       "            fig.waiting = false;\n",
-       "            return;\n",
-       "        }\n",
-       "        else if (typeof evt.data === 'string' && evt.data.slice(0, 21) == \"data:image/png;base64\") {\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(\"No handler for the '\" + msg_type + \"' message type: \", msg);\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(\"Exception inside the 'handler_\" + msg_type + \"' callback:\", e, e.stack, msg);\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",
-       "    if (e.target)\n",
-       "        targ = e.target;\n",
-       "    else if (e.srcElement)\n",
-       "        targ = e.srcElement;\n",
-       "    if (targ.nodeType == 3) // defeat Safari bug\n",
-       "        targ = targ.parentNode;\n",
-       "\n",
-       "    // jQuery normalizes the pageX and pageY\n",
-       "    // pageX,Y are the mouse positions relative to the document\n",
-       "    // offset() returns the position of the element relative to the document\n",
-       "    var x = e.pageX - $(targ).offset().left;\n",
-       "    var y = e.pageY - $(targ).offset().top;\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",
-       "    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",
-       "    {\n",
-       "        this.canvas.focus();\n",
-       "        this.canvas_div.focus();\n",
-       "    }\n",
-       "\n",
-       "    var x = canvas_pos.x;\n",
-       "    var y = canvas_pos.y;\n",
-       "\n",
-       "    this.send_message(name, {x: x, y: y, button: event.button,\n",
-       "                             step: event.step,\n",
-       "                             guiEvent: simpleKeys(event)});\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",
-       "\n",
-       "    // Prevent repeat events\n",
-       "    if (name == 'key_press')\n",
-       "    {\n",
-       "        if (event.which === this._key)\n",
-       "            return;\n",
-       "        else\n",
-       "            this._key = event.which;\n",
-       "    }\n",
-       "    if (name == 'key_release')\n",
-       "        this._key = null;\n",
-       "\n",
-       "    var value = '';\n",
-       "    if (event.ctrlKey && event.which != 17)\n",
-       "        value += \"ctrl+\";\n",
-       "    if (event.altKey && event.which != 18)\n",
-       "        value += \"alt+\";\n",
-       "    if (event.shiftKey && event.which != 16)\n",
-       "        value += \"shift+\";\n",
-       "\n",
-       "    value += 'k';\n",
-       "    value += event.which.toString();\n",
-       "\n",
-       "    this._key_event_extra(event, name);\n",
-       "\n",
-       "    this.send_message(name, {key: value,\n",
-       "                             guiEvent: simpleKeys(event)});\n",
-       "    return false;\n",
-       "}\n",
-       "\n",
-       "mpl.figure.prototype.toolbar_button_onclick = function(name) {\n",
-       "    if (name == 'download') {\n",
-       "        this.handle_save(this, null);\n",
-       "    } else {\n",
-       "        this.send_message(\"toolbar_button\", {name: name});\n",
-       "    }\n",
-       "};\n",
-       "\n",
-       "mpl.figure.prototype.toolbar_button_onmouseover = function(tooltip) {\n",
-       "    this.message.textContent = tooltip;\n",
-       "};\n",
-       "mpl.toolbar_items = [[\"Home\", \"Reset original view\", \"fa fa-home icon-home\", \"home\"], [\"Back\", \"Back to  previous view\", \"fa fa-arrow-left icon-arrow-left\", \"back\"], [\"Forward\", \"Forward to next view\", \"fa fa-arrow-right icon-arrow-right\", \"forward\"], [\"\", \"\", \"\", \"\"], [\"Pan\", \"Pan axes with left mouse, zoom with right\", \"fa fa-arrows icon-move\", \"pan\"], [\"Zoom\", \"Zoom to rectangle\", \"fa fa-square-o icon-check-empty\", \"zoom\"], [\"\", \"\", \"\", \"\"], [\"Download\", \"Download plot\", \"fa fa-floppy-o icon-save\", \"download\"]];\n",
-       "\n",
-       "mpl.extensions = [\"eps\", \"jpeg\", \"pdf\", \"png\", \"ps\", \"raw\", \"svg\", \"tif\"];\n",
-       "\n",
-       "mpl.default_extension = \"png\";var comm_websocket_adapter = function(comm) {\n",
-       "    // Create a \"websocket\"-like object which calls the given IPython comm\n",
-       "    // object with the appropriate methods. Currently this is a non binary\n",
-       "    // socket, so there is still some room for performance tuning.\n",
-       "    var ws = {};\n",
-       "\n",
-       "    ws.close = function() {\n",
-       "        comm.close()\n",
-       "    };\n",
-       "    ws.send = function(m) {\n",
-       "        //console.log('sending', m);\n",
-       "        comm.send(m);\n",
-       "    };\n",
-       "    // Register the callback with on_msg.\n",
-       "    comm.on_msg(function(msg) {\n",
-       "        //console.log('receiving', msg['content']['data'], msg);\n",
-       "        // Pass the mpl event to the overriden (by mpl) onmessage function.\n",
-       "        ws.onmessage(msg['content']['data'])\n",
-       "    });\n",
-       "    return ws;\n",
-       "}\n",
-       "\n",
-       "mpl.mpl_figure_comm = function(comm, msg) {\n",
-       "    // This is the function which gets called when the mpl process\n",
-       "    // starts-up an IPython Comm through the \"matplotlib\" channel.\n",
-       "\n",
-       "    var id = msg.content.data.id;\n",
-       "    // Get hold of the div created by the display call when the Comm\n",
-       "    // socket was opened in Python.\n",
-       "    var element = $(\"#\" + id);\n",
-       "    var ws_proxy = comm_websocket_adapter(comm)\n",
-       "\n",
-       "    function ondownload(figure, format) {\n",
-       "        window.open(figure.imageObj.src);\n",
-       "    }\n",
-       "\n",
-       "    var fig = new mpl.figure(id, ws_proxy,\n",
-       "                           ondownload,\n",
-       "                           element.get(0));\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.get(0);\n",
-       "    fig.cell_info = mpl.find_output_cell(\"<div id='\" + id + \"'></div>\");\n",
-       "    if (!fig.cell_info) {\n",
-       "        console.error(\"Failed to find cell for figure\", id, fig);\n",
-       "        return;\n",
-       "    }\n",
-       "\n",
-       "    var output_index = fig.cell_info[2]\n",
-       "    var cell = fig.cell_info[0];\n",
-       "\n",
-       "};\n",
-       "\n",
-       "mpl.figure.prototype.handle_close = function(fig, msg) {\n",
-       "    fig.root.unbind('remove')\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).html('<img src=\"' + dataURL + '\">');\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 dataURL = this.canvas.toDataURL();\n",
-       "    this.cell_info[1]['text/html'] = '<img src=\"' + dataURL + '\">';\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 () { fig.push_to_output() }, 1000);\n",
-       "}\n",
-       "\n",
-       "mpl.figure.prototype._init_toolbar = function() {\n",
-       "    var fig = this;\n",
-       "\n",
-       "    var nav_element = $('<div/>')\n",
-       "    nav_element.attr('style', 'width: 100%');\n",
-       "    this.root.append(nav_element);\n",
-       "\n",
-       "    // Define a callback function for later on.\n",
-       "    function toolbar_event(event) {\n",
-       "        return fig.toolbar_button_onclick(event['data']);\n",
-       "    }\n",
-       "    function toolbar_mouse_event(event) {\n",
-       "        return fig.toolbar_button_onmouseover(event['data']);\n",
-       "    }\n",
-       "\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) { continue; };\n",
-       "\n",
-       "        var button = $('<button class=\"btn btn-default\" href=\"#\" title=\"' + name + '\"><i class=\"fa ' + image + ' fa-lg\"></i></button>');\n",
-       "        button.click(method_name, toolbar_event);\n",
-       "        button.mouseover(tooltip, toolbar_mouse_event);\n",
-       "        nav_element.append(button);\n",
-       "    }\n",
-       "\n",
-       "    // Add the status bar.\n",
-       "    var status_bar = $('<span class=\"mpl-message\" style=\"text-align:right; float: right;\"/>');\n",
-       "    nav_element.append(status_bar);\n",
-       "    this.message = status_bar[0];\n",
-       "\n",
-       "    // Add the close button to the window.\n",
-       "    var buttongrp = $('<div class=\"btn-group inline pull-right\"></div>');\n",
-       "    var button = $('<button class=\"btn btn-mini btn-primary\" href=\"#\" title=\"Stop Interaction\"><i class=\"fa fa-power-off icon-remove icon-large\"></i></button>');\n",
-       "    button.click(function (evt) { fig.handle_close(fig, {}); } );\n",
-       "    button.mouseover('Stop Interaction', toolbar_mouse_event);\n",
-       "    buttongrp.append(button);\n",
-       "    var titlebar = this.root.find($('.ui-dialog-titlebar'));\n",
-       "    titlebar.prepend(buttongrp);\n",
-       "}\n",
-       "\n",
-       "mpl.figure.prototype._root_extra_style = function(el){\n",
-       "    var fig = this\n",
-       "    el.on(\"remove\", function(){\n",
-       "\tfig.close_ws(fig, {});\n",
-       "    });\n",
-       "}\n",
-       "\n",
-       "mpl.figure.prototype._canvas_extra_style = function(el){\n",
-       "    // this is important to make the div 'focusable\n",
-       "    el.attr('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",
-       "    }\n",
-       "    else {\n",
-       "        // location in version 2\n",
-       "        IPython.keyboard_manager.register_events(el);\n",
-       "    }\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",
-       "    // Check for shift+enter\n",
-       "    if (event.shiftKey && event.which == 13) {\n",
-       "        this.canvas_div.blur();\n",
-       "        event.shiftKey = false;\n",
-       "        // Send a \"J\" for go to next cell\n",
-       "        event.which = 74;\n",
-       "        event.keyCode = 74;\n",
-       "        manager.command_mode();\n",
-       "        manager.handle_keydown(event);\n",
-       "    }\n",
-       "}\n",
-       "\n",
-       "mpl.figure.prototype.handle_save = function(fig, msg) {\n",
-       "    fig.ondownload(fig, null);\n",
-       "}\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('matplotlib', mpl.mpl_figure_comm);\n",
-       "}\n"
-      ],
+      "image/png": "iVBORw0KGgoAAAANSUhEUgAAAhkAAACbCAYAAADP/YlxAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\nQmCC\n",
       "text/plain": [
-       "<IPython.core.display.Javascript object>"
-      ]
-     },
-     "metadata": {},
-     "output_type": "display_data"
-    },
-    {
-     "data": {
-      "text/html": [
-       "<img src=\"data:image/png;base64,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\">"
-      ],
-      "text/plain": [
-       "<IPython.core.display.HTML object>"
+       "<matplotlib.figure.Figure at 0x1cf132c0518>"
       ]
      },
      "metadata": {},
@@ -10452,8 +2796,7 @@
    "source": [
     "kernel = (.1, .8, .1)\n",
     "prior = predict(posterior, 1, kernel)\n",
-    "with interactive_plot():\n",
-    "    bp.plot_prior_vs_posterior(prior, posterior, True, ylim=(0,.5))"
+    "bp.plot_prior_vs_posterior(prior, posterior, True, ylim=(0,.5))"
    ]
   },
   {
@@ -10472,775 +2815,9 @@
    "outputs": [
     {
      "data": {
-      "application/javascript": [
-       "/* Put everything inside the global mpl namespace */\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('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",
-       "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 = $('<div/>');\n",
-       "    this._root_extra_style(this.root)\n",
-       "    this.root.attr('style', 'display: inline-block');\n",
-       "\n",
-       "    $(parent_element).append(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",
-       "            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",
-       "        this.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 = $(\n",
-       "        '<div class=\"ui-dialog-titlebar ui-widget-header ui-corner-all ' +\n",
-       "        'ui-helper-clearfix\"/>');\n",
-       "    var titletext = $(\n",
-       "        '<div class=\"ui-dialog-title\" style=\"width: 100%; ' +\n",
-       "        'text-align: center; padding: 3px;\"/>');\n",
-       "    titlebar.append(titletext)\n",
-       "    this.root.append(titlebar);\n",
-       "    this.header = titletext[0];\n",
-       "}\n",
-       "\n",
-       "\n",
-       "\n",
-       "mpl.figure.prototype._canvas_extra_style = function(canvas_div) {\n",
-       "\n",
-       "}\n",
-       "\n",
-       "\n",
-       "mpl.figure.prototype._root_extra_style = function(canvas_div) {\n",
-       "\n",
-       "}\n",
-       "\n",
-       "mpl.figure.prototype._init_canvas = function() {\n",
-       "    var fig = this;\n",
-       "\n",
-       "    var canvas_div = $('<div/>');\n",
-       "\n",
-       "    canvas_div.attr('style', 'position: relative; clear: both; outline: 0');\n",
-       "\n",
-       "    function canvas_keyboard_event(event) {\n",
-       "        return fig.key_event(event, event['data']);\n",
-       "    }\n",
-       "\n",
-       "    canvas_div.keydown('key_press', canvas_keyboard_event);\n",
-       "    canvas_div.keyup('key_release', canvas_keyboard_event);\n",
-       "    this.canvas_div = canvas_div\n",
-       "    this._canvas_extra_style(canvas_div)\n",
-       "    this.root.append(canvas_div);\n",
-       "\n",
-       "    var canvas = $('<canvas/>');\n",
-       "    canvas.addClass('mpl-canvas');\n",
-       "    canvas.attr('style', \"left: 0; top: 0; z-index: 0; outline: 0\")\n",
-       "\n",
-       "    this.canvas = canvas[0];\n",
-       "    this.context = canvas[0].getContext(\"2d\");\n",
-       "\n",
-       "    var rubberband = $('<canvas/>');\n",
-       "    rubberband.attr('style', \"position: absolute; left: 0; top: 0; z-index: 1;\")\n",
-       "\n",
-       "    var pass_mouse_events = true;\n",
-       "\n",
-       "    canvas_div.resizable({\n",
-       "        start: function(event, ui) {\n",
-       "            pass_mouse_events = false;\n",
-       "        },\n",
-       "        resize: function(event, ui) {\n",
-       "            fig.request_resize(ui.size.width, ui.size.height);\n",
-       "        },\n",
-       "        stop: function(event, ui) {\n",
-       "            pass_mouse_events = true;\n",
-       "            fig.request_resize(ui.size.width, ui.size.height);\n",
-       "        },\n",
-       "    });\n",
-       "\n",
-       "    function mouse_event_fn(event) {\n",
-       "        if (pass_mouse_events)\n",
-       "            return fig.mouse_event(event, event['data']);\n",
-       "    }\n",
-       "\n",
-       "    rubberband.mousedown('button_press', mouse_event_fn);\n",
-       "    rubberband.mouseup('button_release', mouse_event_fn);\n",
-       "    // Throttle sequential mouse events to 1 every 20ms.\n",
-       "    rubberband.mousemove('motion_notify', mouse_event_fn);\n",
-       "\n",
-       "    rubberband.mouseenter('figure_enter', mouse_event_fn);\n",
-       "    rubberband.mouseleave('figure_leave', mouse_event_fn);\n",
-       "\n",
-       "    canvas_div.on(\"wheel\", function (event) {\n",
-       "        event = event.originalEvent;\n",
-       "        event['data'] = 'scroll'\n",
-       "        if (event.deltaY < 0) {\n",
-       "            event.step = 1;\n",
-       "        } else {\n",
-       "            event.step = -1;\n",
-       "        }\n",
-       "        mouse_event_fn(event);\n",
-       "    });\n",
-       "\n",
-       "    canvas_div.append(canvas);\n",
-       "    canvas_div.append(rubberband);\n",
-       "\n",
-       "    this.rubberband = rubberband;\n",
-       "    this.rubberband_canvas = rubberband[0];\n",
-       "    this.rubberband_context = rubberband[0].getContext(\"2d\");\n",
-       "    this.rubberband_context.strokeStyle = \"#000000\";\n",
-       "\n",
-       "    this._resize_canvas = function(width, height) {\n",
-       "        // Keep the size of the canvas, canvas container, and rubber band\n",
-       "        // canvas in synch.\n",
-       "        canvas_div.css('width', width)\n",
-       "        canvas_div.css('height', height)\n",
-       "\n",
-       "        canvas.attr('width', width);\n",
-       "        canvas.attr('height', height);\n",
-       "\n",
-       "        rubberband.attr('width', width);\n",
-       "        rubberband.attr('height', height);\n",
-       "    }\n",
-       "\n",
-       "    // Set the figure to an initial 600x600px, this will subsequently be updated\n",
-       "    // upon first draw.\n",
-       "    this._resize_canvas(600, 600);\n",
-       "\n",
-       "    // Disable right mouse context menu.\n",
-       "    $(this.rubberband_canvas).bind(\"contextmenu\",function(e){\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 nav_element = $('<div/>')\n",
-       "    nav_element.attr('style', 'width: 100%');\n",
-       "    this.root.append(nav_element);\n",
-       "\n",
-       "    // Define a callback function for later on.\n",
-       "    function toolbar_event(event) {\n",
-       "        return fig.toolbar_button_onclick(event['data']);\n",
-       "    }\n",
-       "    function toolbar_mouse_event(event) {\n",
-       "        return fig.toolbar_button_onmouseover(event['data']);\n",
-       "    }\n",
-       "\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",
-       "            // put a spacer in here.\n",
-       "            continue;\n",
-       "        }\n",
-       "        var button = $('<button/>');\n",
-       "        button.addClass('ui-button ui-widget ui-state-default ui-corner-all ' +\n",
-       "                        'ui-button-icon-only');\n",
-       "        button.attr('role', 'button');\n",
-       "        button.attr('aria-disabled', 'false');\n",
-       "        button.click(method_name, toolbar_event);\n",
-       "        button.mouseover(tooltip, toolbar_mouse_event);\n",
-       "\n",
-       "        var icon_img = $('<span/>');\n",
-       "        icon_img.addClass('ui-button-icon-primary ui-icon');\n",
-       "        icon_img.addClass(image);\n",
-       "        icon_img.addClass('ui-corner-all');\n",
-       "\n",
-       "        var tooltip_span = $('<span/>');\n",
-       "        tooltip_span.addClass('ui-button-text');\n",
-       "        tooltip_span.html(tooltip);\n",
-       "\n",
-       "        button.append(icon_img);\n",
-       "        button.append(tooltip_span);\n",
-       "\n",
-       "        nav_element.append(button);\n",
-       "    }\n",
-       "\n",
-       "    var fmt_picker_span = $('<span/>');\n",
-       "\n",
-       "    var fmt_picker = $('<select/>');\n",
-       "    fmt_picker.addClass('mpl-toolbar-option ui-widget ui-widget-content');\n",
-       "    fmt_picker_span.append(fmt_picker);\n",
-       "    nav_element.append(fmt_picker_span);\n",
-       "    this.format_dropdown = fmt_picker[0];\n",
-       "\n",
-       "    for (var ind in mpl.extensions) {\n",
-       "        var fmt = mpl.extensions[ind];\n",
-       "        var option = $(\n",
-       "            '<option/>', {selected: fmt === mpl.default_extension}).html(fmt);\n",
-       "        fmt_picker.append(option)\n",
-       "    }\n",
-       "\n",
-       "    // Add hover states to the ui-buttons\n",
-       "    $( \".ui-button\" ).hover(\n",
-       "        function() { $(this).addClass(\"ui-state-hover\");},\n",
-       "        function() { $(this).removeClass(\"ui-state-hover\");}\n",
-       "    );\n",
-       "\n",
-       "    var status_bar = $('<span class=\"mpl-message\"/>');\n",
-       "    nav_element.append(status_bar);\n",
-       "    this.message = status_bar[0];\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",
-       "\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",
-       "\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]);\n",
-       "        fig.send_message(\"refresh\", {});\n",
-       "    };\n",
-       "}\n",
-       "\n",
-       "mpl.figure.prototype.handle_rubberband = function(fig, msg) {\n",
-       "    var x0 = msg['x0'];\n",
-       "    var y0 = fig.canvas.height - msg['y0'];\n",
-       "    var x1 = msg['x1'];\n",
-       "    var y1 = fig.canvas.height - msg['y1'];\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, 0, fig.canvas.width, fig.canvas.height);\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",
-       "    {\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.updated_canvas_event = function() {\n",
-       "    // Called whenever the canvas gets updated.\n",
-       "    this.send_message(\"ack\", {});\n",
-       "}\n",
-       "\n",
-       "// A function to construct a web socket function for onmessage handling.\n",
-       "// Called in the figure constructor.\n",
-       "mpl.figure.prototype._make_on_message_function = function(fig) {\n",
-       "    return function socket_on_message(evt) {\n",
-       "        if (evt.data instanceof Blob) {\n",
-       "            /* FIXME: We get \"Resource interpreted as Image but\n",
-       "             * transferred with MIME type text/plain:\" errors on\n",
-       "             * Chrome.  But how to set the MIME type?  It doesn't seem\n",
-       "             * to be part of the websocket stream */\n",
-       "            evt.data.type = \"image/png\";\n",
-       "\n",
-       "            /* Free the memory for the previous frames */\n",
-       "            if (fig.imageObj.src) {\n",
-       "                (window.URL || window.webkitURL).revokeObjectURL(\n",
-       "                    fig.imageObj.src);\n",
-       "            }\n",
-       "\n",
-       "            fig.imageObj.src = (window.URL || window.webkitURL).createObjectURL(\n",
-       "                evt.data);\n",
-       "            fig.updated_canvas_event();\n",
-       "            fig.waiting = false;\n",
-       "            return;\n",
-       "        }\n",
-       "        else if (typeof evt.data === 'string' && evt.data.slice(0, 21) == \"data:image/png;base64\") {\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(\"No handler for the '\" + msg_type + \"' message type: \", msg);\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(\"Exception inside the 'handler_\" + msg_type + \"' callback:\", e, e.stack, msg);\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",
-       "    if (e.target)\n",
-       "        targ = e.target;\n",
-       "    else if (e.srcElement)\n",
-       "        targ = e.srcElement;\n",
-       "    if (targ.nodeType == 3) // defeat Safari bug\n",
-       "        targ = targ.parentNode;\n",
-       "\n",
-       "    // jQuery normalizes the pageX and pageY\n",
-       "    // pageX,Y are the mouse positions relative to the document\n",
-       "    // offset() returns the position of the element relative to the document\n",
-       "    var x = e.pageX - $(targ).offset().left;\n",
-       "    var y = e.pageY - $(targ).offset().top;\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",
-       "    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",
-       "    {\n",
-       "        this.canvas.focus();\n",
-       "        this.canvas_div.focus();\n",
-       "    }\n",
-       "\n",
-       "    var x = canvas_pos.x;\n",
-       "    var y = canvas_pos.y;\n",
-       "\n",
-       "    this.send_message(name, {x: x, y: y, button: event.button,\n",
-       "                             step: event.step,\n",
-       "                             guiEvent: simpleKeys(event)});\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",
-       "\n",
-       "    // Prevent repeat events\n",
-       "    if (name == 'key_press')\n",
-       "    {\n",
-       "        if (event.which === this._key)\n",
-       "            return;\n",
-       "        else\n",
-       "            this._key = event.which;\n",
-       "    }\n",
-       "    if (name == 'key_release')\n",
-       "        this._key = null;\n",
-       "\n",
-       "    var value = '';\n",
-       "    if (event.ctrlKey && event.which != 17)\n",
-       "        value += \"ctrl+\";\n",
-       "    if (event.altKey && event.which != 18)\n",
-       "        value += \"alt+\";\n",
-       "    if (event.shiftKey && event.which != 16)\n",
-       "        value += \"shift+\";\n",
-       "\n",
-       "    value += 'k';\n",
-       "    value += event.which.toString();\n",
-       "\n",
-       "    this._key_event_extra(event, name);\n",
-       "\n",
-       "    this.send_message(name, {key: value,\n",
-       "                             guiEvent: simpleKeys(event)});\n",
-       "    return false;\n",
-       "}\n",
-       "\n",
-       "mpl.figure.prototype.toolbar_button_onclick = function(name) {\n",
-       "    if (name == 'download') {\n",
-       "        this.handle_save(this, null);\n",
-       "    } else {\n",
-       "        this.send_message(\"toolbar_button\", {name: name});\n",
-       "    }\n",
-       "};\n",
-       "\n",
-       "mpl.figure.prototype.toolbar_button_onmouseover = function(tooltip) {\n",
-       "    this.message.textContent = tooltip;\n",
-       "};\n",
-       "mpl.toolbar_items = [[\"Home\", \"Reset original view\", \"fa fa-home icon-home\", \"home\"], [\"Back\", \"Back to  previous view\", \"fa fa-arrow-left icon-arrow-left\", \"back\"], [\"Forward\", \"Forward to next view\", \"fa fa-arrow-right icon-arrow-right\", \"forward\"], [\"\", \"\", \"\", \"\"], [\"Pan\", \"Pan axes with left mouse, zoom with right\", \"fa fa-arrows icon-move\", \"pan\"], [\"Zoom\", \"Zoom to rectangle\", \"fa fa-square-o icon-check-empty\", \"zoom\"], [\"\", \"\", \"\", \"\"], [\"Download\", \"Download plot\", \"fa fa-floppy-o icon-save\", \"download\"]];\n",
-       "\n",
-       "mpl.extensions = [\"eps\", \"jpeg\", \"pdf\", \"png\", \"ps\", \"raw\", \"svg\", \"tif\"];\n",
-       "\n",
-       "mpl.default_extension = \"png\";var comm_websocket_adapter = function(comm) {\n",
-       "    // Create a \"websocket\"-like object which calls the given IPython comm\n",
-       "    // object with the appropriate methods. Currently this is a non binary\n",
-       "    // socket, so there is still some room for performance tuning.\n",
-       "    var ws = {};\n",
-       "\n",
-       "    ws.close = function() {\n",
-       "        comm.close()\n",
-       "    };\n",
-       "    ws.send = function(m) {\n",
-       "        //console.log('sending', m);\n",
-       "        comm.send(m);\n",
-       "    };\n",
-       "    // Register the callback with on_msg.\n",
-       "    comm.on_msg(function(msg) {\n",
-       "        //console.log('receiving', msg['content']['data'], msg);\n",
-       "        // Pass the mpl event to the overriden (by mpl) onmessage function.\n",
-       "        ws.onmessage(msg['content']['data'])\n",
-       "    });\n",
-       "    return ws;\n",
-       "}\n",
-       "\n",
-       "mpl.mpl_figure_comm = function(comm, msg) {\n",
-       "    // This is the function which gets called when the mpl process\n",
-       "    // starts-up an IPython Comm through the \"matplotlib\" channel.\n",
-       "\n",
-       "    var id = msg.content.data.id;\n",
-       "    // Get hold of the div created by the display call when the Comm\n",
-       "    // socket was opened in Python.\n",
-       "    var element = $(\"#\" + id);\n",
-       "    var ws_proxy = comm_websocket_adapter(comm)\n",
-       "\n",
-       "    function ondownload(figure, format) {\n",
-       "        window.open(figure.imageObj.src);\n",
-       "    }\n",
-       "\n",
-       "    var fig = new mpl.figure(id, ws_proxy,\n",
-       "                           ondownload,\n",
-       "                           element.get(0));\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.get(0);\n",
-       "    fig.cell_info = mpl.find_output_cell(\"<div id='\" + id + \"'></div>\");\n",
-       "    if (!fig.cell_info) {\n",
-       "        console.error(\"Failed to find cell for figure\", id, fig);\n",
-       "        return;\n",
-       "    }\n",
-       "\n",
-       "    var output_index = fig.cell_info[2]\n",
-       "    var cell = fig.cell_info[0];\n",
-       "\n",
-       "};\n",
-       "\n",
-       "mpl.figure.prototype.handle_close = function(fig, msg) {\n",
-       "    fig.root.unbind('remove')\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).html('<img src=\"' + dataURL + '\">');\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 dataURL = this.canvas.toDataURL();\n",
-       "    this.cell_info[1]['text/html'] = '<img src=\"' + dataURL + '\">';\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 () { fig.push_to_output() }, 1000);\n",
-       "}\n",
-       "\n",
-       "mpl.figure.prototype._init_toolbar = function() {\n",
-       "    var fig = this;\n",
-       "\n",
-       "    var nav_element = $('<div/>')\n",
-       "    nav_element.attr('style', 'width: 100%');\n",
-       "    this.root.append(nav_element);\n",
-       "\n",
-       "    // Define a callback function for later on.\n",
-       "    function toolbar_event(event) {\n",
-       "        return fig.toolbar_button_onclick(event['data']);\n",
-       "    }\n",
-       "    function toolbar_mouse_event(event) {\n",
-       "        return fig.toolbar_button_onmouseover(event['data']);\n",
-       "    }\n",
-       "\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) { continue; };\n",
-       "\n",
-       "        var button = $('<button class=\"btn btn-default\" href=\"#\" title=\"' + name + '\"><i class=\"fa ' + image + ' fa-lg\"></i></button>');\n",
-       "        button.click(method_name, toolbar_event);\n",
-       "        button.mouseover(tooltip, toolbar_mouse_event);\n",
-       "        nav_element.append(button);\n",
-       "    }\n",
-       "\n",
-       "    // Add the status bar.\n",
-       "    var status_bar = $('<span class=\"mpl-message\" style=\"text-align:right; float: right;\"/>');\n",
-       "    nav_element.append(status_bar);\n",
-       "    this.message = status_bar[0];\n",
-       "\n",
-       "    // Add the close button to the window.\n",
-       "    var buttongrp = $('<div class=\"btn-group inline pull-right\"></div>');\n",
-       "    var button = $('<button class=\"btn btn-mini btn-primary\" href=\"#\" title=\"Stop Interaction\"><i class=\"fa fa-power-off icon-remove icon-large\"></i></button>');\n",
-       "    button.click(function (evt) { fig.handle_close(fig, {}); } );\n",
-       "    button.mouseover('Stop Interaction', toolbar_mouse_event);\n",
-       "    buttongrp.append(button);\n",
-       "    var titlebar = this.root.find($('.ui-dialog-titlebar'));\n",
-       "    titlebar.prepend(buttongrp);\n",
-       "}\n",
-       "\n",
-       "mpl.figure.prototype._root_extra_style = function(el){\n",
-       "    var fig = this\n",
-       "    el.on(\"remove\", function(){\n",
-       "\tfig.close_ws(fig, {});\n",
-       "    });\n",
-       "}\n",
-       "\n",
-       "mpl.figure.prototype._canvas_extra_style = function(el){\n",
-       "    // this is important to make the div 'focusable\n",
-       "    el.attr('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",
-       "    }\n",
-       "    else {\n",
-       "        // location in version 2\n",
-       "        IPython.keyboard_manager.register_events(el);\n",
-       "    }\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",
-       "    // Check for shift+enter\n",
-       "    if (event.shiftKey && event.which == 13) {\n",
-       "        this.canvas_div.blur();\n",
-       "        event.shiftKey = false;\n",
-       "        // Send a \"J\" for go to next cell\n",
-       "        event.which = 74;\n",
-       "        event.keyCode = 74;\n",
-       "        manager.command_mode();\n",
-       "        manager.handle_keydown(event);\n",
-       "    }\n",
-       "}\n",
-       "\n",
-       "mpl.figure.prototype.handle_save = function(fig, msg) {\n",
-       "    fig.ondownload(fig, null);\n",
-       "}\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('matplotlib', mpl.mpl_figure_comm);\n",
-       "}\n"
-      ],
+      "image/png": "iVBORw0KGgoAAAANSUhEUgAAAhkAAACbCAYAAADP/YlxAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\nv+jD1XFaAAAAAElFTkSuQmCC\n",
       "text/plain": [
-       "<IPython.core.display.Javascript object>"
-      ]
-     },
-     "metadata": {},
-     "output_type": "display_data"
-    },
-    {
-     "data": {
-      "text/html": [
-       "<img src=\"data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAtAAAACgCAYAAAAl6lt0AAAgAElEQVR4Xu2dD7RdVX3nf/u8ex955M8bTCImY0SeOXu/l9cpGKzxD5CEqKWs6qiB1lYQLQF1xKKlCLSWoEytwyjUOpNag1UQtVpZJRAqA07HQbArq2Pb1N7k7n1DDChGbNIQngGS3Ht+s3Zyr3l5f88+99yz79vve9dyucLb5/7O/uzf/u7v+Z19zhWEDwiAAAiAAAiAAAiAAAiAQGoCInVLNAQBEAABEAABEAABEAABECAYaCQBCIAACIAACIAACIAACDgQgIF2gIWmIAACIAACIAACIAACIAADjRwAARAAARAAARAAARAAAQcCMNAOsNAUBEAABEAABEAABEAABGCgkQMgAAIgAAIgAAIgAAIg4EAABtoBFpqCAAiAAAiAAAiAAAiAAAw0cgAEQAAEQAAEQAAEQAAEHAjAQDvAQlMQAAEQAAEQAAEQAAEQgIFGDoAACIAACIAACIAACICAAwEYaAdYaAoCIAACIAACIAACIAACMNDIARAAARAAARAAARAAARBwIAAD7QALTUEABEAABEAABEAABEAABho5AAIgAAIgAAIg4IWAUupMrfUPvQRHUBBogwAMdBvwcGg4BJRS5zLzN4wxS8PpFXoCAiAAAt1LQEp5NhH9b2PMwixnKaX8WyL6W2PM/8hyPI4BgXYIwEC3Qw/HggAIgAAIgAAIZCIwODi4JkmS+4wxCzJ9AQ4CAY8EYKA9wkfozhJYsWLFGfV6fZcQ4npmvlEIkRDRJq31x6SU/0cIYW8bvomInkqS5CNCiK3GmPn2rKywM/MniGgFEf2EmW83xmy2fxt7rNZ6VWd7gm8HARAAAb8EJtJTZv5zY8zNy5Yt6+vr6/uEEOISIuolokcajcaHd+3a9aM1a9aU9u7du4mI/jMzWw3+5yRJPlgulw8lSfI4Ec1h5p9HUfTLjUZjbxRFf0xElzBzrxDiwcOHD394z549z8RxvDqKoi8Q0XZmXsvMVwohrhZC3K+1vm2qc5jo2Fqtdo9foog+0wnAQM/0EcT5T0rACn6j0fghM9/X19f3zhdeeGEZET3MzLcQ0W8R0dIjR46smjNnTqPRaKy0QmwrIVLKISHEPyZJckWtVvsrKeWrrLkmoqu11t+wBnr0sdVqdQTDAAIgAAIhE5hET7/NzB8XQryemQfK5fIlhw4deuaUU065nZlfZ4xZOTg4eDkzf2DOnDnnb9++/QUp5eeJaK4x5h3W2LZ017JTSv0ZEZ2VJMnFp5566nPPP//854QQc7XWb2+aYKu9V8+fP3/zvn37enp7e7/VMtBSyruI6MyJziGO43OjKPrFsQcPHoxqtdrhkMcLfes8ARjozjNGBE8EmoK/Wwjximq1uqcp0DcQ0YXNSsg/GWOutf99tJBLKT8mhHid1vqNrVOXUn6UiM41xlzYNND/2DrWU/cQFgRAAAQKIzCFnr6ViM4WQlxQrVa/19TTU4QQ+5n5DUQ0IIT4LBF9jJkfqNVqu4mIx+puU58PCSHe2Pqe4eHhl9Tr9Z9EUbS4Xq//UhRFfyeE+A+tokXzbuD9SZL8TyHEs1EUrZ3kHE4Ze2xh4BAoWAIw0MEOLTrWuuVojCm3aAwODr4zSZI/stsyiOgBY8ynxwq5UupzRBRpra8afRwz/6HWekXTQNvtHseOxQcEQAAEQicwlZ4KIWIhxLJqtWp19dhHKVUjIquZ31BKbWDmdxPRq4nocWb+SK1Wu3904SKO48VRFD1NRAeZ+ZjBFkIIZi5HUbSm0WjMHb3Nzv69ZaBLpdJXrdEWQrx0onNIkuTpsceGPl7oX+cJwEB3njEieCLQqpiUSqX/WKlUftoU3D8UQqxm5pIVVLt3bqyBllL+gRBijdba7o9uLQYbmXm1MeaClmi3jvXUPYQFARAAgcIITKanRHSBEOK1Qog3tKq/dj/yqaeeuo+Zfy1Jkp/09PSUtNbV4eHhefV6/QNEdPP8+fMXHDx48HWjtnAIpdQhZj7HGLOz2bFocHAwrlartTiOzxu93WO0gdZa366Uek4IsW6ic2Bm68WPbdErDBgCBU8ABjr4IZ69HWzt2SOiu5577rn3z5s37xWNRuOhKIquS5JkQ2vv3FgDbd9Lysw/IKIrjTF2z7PdA30/M/++MeYuGOjZm1PoOQjMVgJT6Skzn0dEQ6VS6TcPHDjw7Pz582+zD/oZY1Yopa5h5vdEUfSr1Wp1bxzH742i6Gat9UviOH5NFEXfSZKk3+5JVkr9ORHZZ1XeXSqVnj169OjHiehdzHwmEb1mCgN9m1LqL+zz32PO4QJjzJDdAw0DPVszt3P9hoHuHFt8s2cCowT/U8z8Tns3kIg+pbX+Uyml3Us3YQW6ZaijKPpvVpCJ6N+I6HattX2S3N42POlYz91EeBAAARDoOIGp9PSss86a+/zzz/+xEOJi+4AgMz9SKpV+d8eOHU8QUY9Syj5UaN/QYbdh7GDma4wx25YuXXrqvHnzHiKiX06SZE29Xt/R29tr3+axnogWMPM/RVF0TbVa/cHYBw7HavFU5zDRsR0HhgDBE2jbQCul7KSwt7fLQoi7tdb2DQe/+MRx/CYhxFeEED+y/9FOCGPMFcGTRQe9Exh1y3FxpVL5d+8nhBMAgQ4QgAZ3ACq+chwB6CmSAgROJtCWgR4YGDi9VCptK5fLKyuVykGl1INJktxaq9UeboWxby+IomikWq1+BvBBoEgCrYpJqVRaBANdJHnEKooANLgo0ogDPUUOgECOBlopdWlzn9OxirJS6rLmg1YbRhnoLUKIPiJaxMz2ds7VxpinMBAg0GkCqJh0mjC+3zcBaLDvEZg98aGns2es0dN0BNqqQCul7C+82Rei39Q00OuY+Tr7rtxWeKXUF5Mk+aqtSsdx/L4oin5La7063emhFQiAAAiAwGQEoMHIDRAAARDwQ6AtAy2lvJGI+sYY6GuNMRdNIfgHhBAvw6+3+RlwRAUBEAiHADQ4nLFET0AABGYWgbYM9NgtG/Z2IhGd3/oBijiO7a//fFhr/clRFekDhw8fXrJnz54XpkJVrze4pyeaWTRxtiAAAiDgSMC+oNbxkF80hwZnJYfjQAAEQOA4gawanFm4bdChoaEljUbjMWZe1d/f/8zIyMhWItqktd7SGhgpZZWIbFX6gTiO3yOE+A1jzK9NN3A/+9mznHZZse0WLpxP+/eP0PHfLyr24zO+z9jHE88fe5+x0XeMe156s3jxgsw6DA1uLYDIx7zy0WX1hAbDd4TgubJqcGbhbk2yOI7XCyE2ElEvEd1rjLlBSrmZmbfUarWtUsqzhRCfs3ulicj+TOflaR4itAY67US2k3jRovm0b58/A+0rPvqOcfclYMj5fPTmxS/ObqCtRkKDj1/IIx/zyce0626riOCLu+/4PnMOfc93vmfV4LYNtMtkc2kLA52OFiYxDDQMdLq5klervOdcVvHOqz+TfQ80OB3hvPMhXdQTrXzG9xkbJjJfE+mSd6GNe1YNhoF2yZpJ2vpMJp+xIWAQMB93fULL+azinYN0TfkVMNDpCIeWj+l6fWLrDCrQxVf+sfbmu/Zm1WAYaBe1gIEeR8Dn4uEzNgQsXwFzmYahjXtW8XZhlqUtDHQ6aqHlY7pew0Bj3MO5+5tVg2GgXdQCBhoGehQBnwLqMzYuHvK9eMgq3jlIFyrQOUDEXAzHSLmkA8Y9nHHPqsEw0C4zBgYaBhoG+hgBn4uHz9id6HtW8c5BumCgc4AYWj66IEHfwzGRs3ncs2owDLRL1sBAw0DDQMNA5/zGh6zinYN0wUDnABEmEiYSD3LnMJEcviLvOZdVg2GgHQZtsqZ5D6bLKfmM3YlqHPqejgDGPZxFO6t4p8uU7K2wBzodO8zFcOZiuhE/3grjHs64Z9VgGGiXGYMKNCrQqEB7XzxCW7iyincO0oUKdA4QQ8tHFyToezgmcjaPe1YNhoF2yRoYaBhoGGgYaGzh6Cod8F0NhImEicQWjhyMlMNX5D3nYKDxS4Tefsbc13tA855EDvMXJjJnE+nCPrRxzyreLsyytMUWjnTUQsvHdL3GNgaMezgXTlk1GBVoF7VABbqrKk8QsHAEzGUahjbuWcXbhVmWtjDQ6aiFlo/peg0DjXEPZ/3JqsEw0C5qAQMNA40tHKi+51x9zyreOUjXlF8BA52OMIxUOEYq3Yjj4iG0nM+qwW0baKXUJUS0kZnLQoi7tda3TJSEcRy/Moqiv9daz0mTpBDvNJTwJLCv7SN2dHyKiM/Y6Ht3/ZAKNBhz0ZcOQodw8RDC/m8vBnpgYOD0Uqm0rVwur6xUKgeVUg8mSXJrrVZ7eLT9W7ZsWV9fX9/DQojXaq170lhDGOg0lPwuHDBS+RqpdCOO6kdoi3ZW8baZAA32Px9Cy0foUDoCGPdwLh6yanBbFWil1KXMvNYYc4VNOaXUZcy82hizYXQKSik3EdG3hRB/DQOdbnKmbYVJHM4kTjvmvi9cfMcPLeezindTc6HBuBtEqECPFP4QfWg6NJvXn6wa3K6Bvp6Z5xpjbmqK+Tpmvs4Yc2FrMOI4fnMURW/TWv+OUirRWkdpBgoV6DSUUIH2tXDARKL6vm9fPot2VvFuai40GAYaBjqnuZhu1fV/1wPrT77rT1YNbstASylvJKK+MQb6WmPMRa3bi+Vy+b5SqbSuUqn8XCnVcKlA2yu8NB/bbuHC+bR/fz4LWpqYo9v4jO8zdmsS+2KPviPnfe2/yzPnFy9ekFLpxisTNPiEmclzTFzWAOgQdCgEHZrNOZ9VgzML90RbNuyWDiI6X2t9VfPvdmvHDUQ0YosERHQWEf1zkiRrarXas1MNWL3e4J6eVMVql3FHWxAAARDoKgJCpC0VjD/tsdvmoMFdNbQ4GRAAgRlAIKsGt2Wgh4aGljQajceYeVV/f/8zIyMjW4lok9Z6y0TMXLdwpF1WUAFABQAVgGJVyuec8xm7E3ddslY/7LlAg1GB9jkffMbuxFx0UVH0PRzfkVWD2zLQNtniOF4vhNhIRL1EdK8x5gYp5WZm3lKr1ayh/sXHdQtH2mTGZn48SOfLQPvag42cDyfns+6/a+kjNNjvsyCYi+HMxbSeo2Xefem/7/ih5XxWDW7bQLsknEtbPESYjlZoiZyu1yeqThAwf/v+fbEPLeezirfLXMnSFhqcjlpo+Ziu19BgjHs4F05ZNRgG2kUtJmnrcyL5jI2r4HyfBHZJRYw7xNslX7K0hYFORw1zMZy5mG7EcfEQWs7DQC/CJMY2Bhf5a7+tTxHxGRsXTvleOGUV7/YzeOpvgIFORxhzEWsv1t50cyWvVnnPuawajAp0DiOa92C6nJLP2DBS+RopjHs6AqHlfFbxTkcreysY6HTsQsvHdL1GFRbjHs6FU1YNhoF2UQts4RhHwKeI+IyNiwdcPHTDD6nkIF+TfgUMdDq60KFwjFS6EcfFQ2g5DwONLRyF/5QpTCRMZF4mcjYvXFnF24VZlrYw0OmohWYm0vUaJhLjHs6FU1YNRgXaRS1QgUYFehQBnwLqMzYunPK9cMoq3jlI15RfAQOdjjDmYjhGKt2I4+IhtJzPqsEw0C4zBgYaBhoG+hgBnwLqM3Yn+p5VvHOQLhjoHCCGlo8uSNB3XDyE8ABlVg2GgXZRCxhoGGgYaBhogQr0WCGAkYKRCsFIudgB5Hw4OQ8DjT3Q2APton45tPUpoD5jd6IK6zIcofU9q3i7MMvSFls40lELLR/T9RrbGDDuMNCoQLuoBSrQqECjAo0KNCrQXaUDuKDL946Iy5IIExmOiZzN4561iAED7ZI1MNBdtXBCvCHeIdw2zireOUgX9kDnABE6BB0KQYdcpkJoOZ9Vg9s20EqpS4hoIzOXhRB3a61vGT0QSqkLiOhTzNxDRD+s1+uX7969++B0g4Xbh9MRwi200CZxuhHHuIc27lnFu5Uv0GA81LrI0xbG0OYiNDgdgdDGPasGt2WgBwYGTi+VStvK5fLKSqVyUCn1YJIkt9ZqtYebwxAppfZEUfSGnTt3GinlnwghGlrrj043TDDQ0xGCkQptEqcbcYx7aOOeVbxtJoSowfV6nXbtqrlMh2NvhTnttLl04MCh1M+CLF8eU6lUcoozUePQ8tEFCPqO6nsI1fesGtyWgVZKXcrMa40xV9hJp5S6jJlXG2M2jJqEtvLcGB4e7j169OgdRLTdGPPp6SYpDPR0hGCkIN4Q79ks3k3NDU6Dq9WddPk936fe089IJ4IZWh15+gm6c/05NDg4lOHokw+BDkGHQtAhl4kQWs77MtDXM/NcY8xNTTFfx8zXGWMuHD0YUsqzhBAPEdFhZn6tMeap6QYLBno6QjDQoU3idCOOcQ9t3LOKd1Nzg9Nga6CvfHQf9b00dpkSTm2f/3GNNp+7CAbaidr4xqHNRRcc6Hs4F05ZNbitCrSU8kYi6htjoK81xlw0USLGcfw+IcRlxpjXT5eo1kDbBE3zse0WLpxP+/ePpL59l+Z707bxGd9nbMvHZ3yfsdF3f3MutHFfvHhBSqUbr0gharA10Bu+23kDfcd5+RlorD9Ye9P6hbza+dRBn7E7sfZm1eDMwt2sfpy0ZcNu6SCi87XWV9m/L1269NS5c+deUKvVtrb+PW/evJ8aYxZMl0T1eoN7eqLpmuHvIAACIDCjCQiRtlQwvptjt82FoMGVSoXW3/dExyvQ97zlDBoeHp7RuYOTBwEQaJ9AVg1uy0APDQ0taTQajzHzqv7+/mdGRkasUd6ktd5iu/SqV72qPDIy8qNGo7Fu165dFaWU3Sv9Nq31r0/XZVSgpyN0/O+hXQmm6zX6jnEP545T1uqHnQUhajAq0C4q6HcNgA6Fo0MuWRfauGfV4LYMtAUex/F6IcRGIuolonuNMTdIKTcz8xZbeY7jeHUURbdZr0dEPy6VSldVKpWfTjdY2AM9HaETJtLXK4xaBt5XfOxBC2cPWrpsDzPns+6/azELTYOxB9plNuAVflh/it8+E9ram1WD2zbQblM9fWsY6HSsQkvkdL0O00ih7+kIhJbzWcU7Ha3srXxpMAy025j5nA8+Y6OAg1+g3Lcvn4uHrBoMA+2mVRO29ikiPmNDwCBgeQmYyzQMLeezircLsyxtYaDTUQstH9P1GkUMjHs4d0CzajAMtItaTNLW50TyGRsGGgYaBrp9Ackq3u1HnvobYKDTEYYGh2Ok0o04Lh5Cy/msGgwD7TJjYKDHEfA5kXzGxsUDLh7yunjIKt45SNeUXwEDnY4wdAgGGj+kkm6u5NUq7zmXVYNhoHMY0bwH0+WUfMaGiYSJzMtEzuaczyreLsyytIWBTkcNGgwDDQOdbq7k1SrvOZdVg2GgcxjRvAfT5ZR8xoaBhoGGgXaZrRO3zSre7UfGFg78lHd7WYT1BxcPIVw8ZNVgGOj29OPY0T5FxGds9B0GGga6fQHJKt7tR4aBhoFuL4uw/sBAw0C3N4c6crSv24dZOuNTRHzGhoGGgYaBzqIYJx8DA30yD7zGzi2nfK4BPmNj/cH6k9f6k1WDUYF206oJW/sUEZ+xIWAQsLwEzGUahpbzWcXbhVmWtr6KGDDQbqPlcz74jI31B+tPXutPVg2GgXbTKhjoMQR8CqjP2BBviLdv8c5Buqb8ChjodIShQ9jGEMI2hnTZfrxVaDkPA70IkxiT2EUC2m/rU0R8xvYtoKH1Pat4t5/BU38DDHQ6wqHlY7peh2mk0Pd0BELL+awa3HYFWil1CRFtZOayEOJurfUto4dg+fLlK6Mo+qwQ4lRmfk4I8X6t9b9MN0y+xHu685ro7z6TyWdsGClUYfOqwrrMu9ByPqt4t5iFpsHYwuEyG/xWA0Obiy7k0fdwipZZNbgtAz0wMHB6qVTaVi6XV1YqlYNKqQeTJLm1Vqs9PErc/5WI3qu1fkxK+QYhxKe01mdPl6gw0NMRQgUAAhaOgKXL9jBzPqt4WxohajAMtMtsgIFe5OnuM9afcNafrBrcloFWSl3KzGuNMVfYKa+UuoyZVxtjNjQlQEgpLzfGfMn+e2hoaGGj0TDGmIXTSQQM9HSEwjQT6XqNvkO8Id5NzQ1Og2GgXVQQBhoGeoSK3r4Z2vrjy0Bfz8xzjTE3NcV8HTNfZ4y5cCIJUEp9jplLowz2pEoBA51ORENL5HS9hoHGuMNANzU3OA2GgXZRQRhoGGgYaLcZM761FwMtpbyRiPrGGOhrjTEXjTnFSCn1GWZeFUXRumq1OjJdh62BtiYhzce2W7hwPu3fX3wi2fPzGd9nbPTdX95h3MOZ74sXL0ipdOPVMEQNtgZ6w3f3Ud9L4zTyn6nN8z+u0R3nLaK8fkgF6w/W3kyJ2MZBPtcAn7E74TuyanBm4W5WP07asmG3dBDR+Vrrq1p5MTw83Hv06NGv24cI58yZ8/bt27cfSpMz9XqDe3qiNE3RBgRAAARmLAEh0pYKxndx7La5EDS4UqnQ+vue6LiBvuctZ9Dw8PCMzRucOAiAQD4EsmpwWwZ6aGhoSaPReMxWlvv7+58ZGRnZSkSbtNZbWt1SSt3JzKcYY95JRI203UUFOh2p0K4E0/X6eCv0PZwq7Gwe96zVD8ssRA1GBdplNvjVQWgwNLjo/dedWPuzanBbBtp2JI7j9UKIjUTUS0T3GmNukFJuZuYtzFzt6enRRGT/d7gpC6y1PoeIeCqZwB7odCKKvbDh7IVNN+InLh587f1rCZiv+KHlfNb9d618CU2DsQfaRQmwBxo6VPz2GWhwcx12m6rFtYaBTsc6tERO12uYSIx7OBdO7Rpolznj0taXBsNAu4wSDDQMNAy024wZ3zqrBrddgW73xCc73pd41+t12rWr5tQta2ZOO20uHThwyOl1MsuXx1QqlU6K5Ro/z9hOnW429mnkfMZGFRY/IpPXj8hkFe8s89XlGF8aDAPtMkow0DDQMNBuMwYG+iQCeRopK96X3/N96j39jHbHZMrjjzz9BN25/pxxT4EXEX+y2Fk6nCd71/g+Y8NAw0DDQJ+YsXnORRhoNyXMk71bZL/mHRoMDfatwahAj1GMIsTbhrSvUdp87vjXKBURf7LYruIJAYOA5SVgLrnn0zB0IudRgT559KGBLrPBr4kNbS66kEffsY0OBhoG2kUzxrX1KSI+Y3fCSLkMBPqej3i7bplqjXteW7bs98FAw0C7zP2xbX1qgc/Y0GAUcPIq4GTVYBhoGOh2tPvYq+SwBw170NpKIseD88y5IrZM2e5NtW0qq3g7YnNu/sgj26Z8U9LoL8zzWQxUoN2GKs/54BbZb/UbBhprLwz0JDM25AdYsIXDVaYnbu9z4YB4hyHeRZi1qeZ7N1egz7xmE3fyWZCpngO58tHO/xLhRFvosigTdCifu0EzjT3GPZxxz1rEQAUaFegsuvWLY3yKiM/YMNAw0C4TZ6rnDrKKt0v8LG3VJx7gTv+cNp4DyTIyJx/jUwd9xoYGh6HBWWZA3nmXVYNhoGGgs+QvDHTzlxCxfWVmb19BBXry6Q8DnU4a817M00U90cpnfJ+xYaBhoLGFA1s4TiJQxIKOt3C4LlHdt4UEC1c+tw+LmG8zdQsHDHQ6ncBczGcupqON6nuLQJ555/owdZ7PPHTDuKMCvSifSex7QS0iPgx0lik7/pg8Bcz1jHzGDqnyU8R8g4GeOLvxKk/XWY8L+bEEfOqgz9h5a3ARD1N38+9PwEDDQKdWYxjo1KimbOhTQH3Gzlu8XUcjz77DQGMLh2v+dZOJC2kuZhmHPLXANb7P2HmPexE62M2+w5uBVkpdQkQbmbkshLhba33LRIkopfyYEKKhtf54mkTFWzjiNJgytenmRHbpUEgC5tLvvMXTNbbv+HmOexELR6cr0J3SYGzhSDcz8szHdBFPbuUzvs/YIemQ73EvQge72Xd4MdADAwOnl0qlbeVyeWWlUjmolHowSZJba7Xaw62EGBgY6C+VSrcR0W8KIW6FgT5OBrcvs0hG9ywcEO8wHmApYuHopIHupAbDQKfTKJjIfLZPpqPdPWtASONehA7CQI/JcKXUpcy81hhzhf2TUuoyZl5tjNnQaiqlfDcRLSaieahAnwAIA51FLrtHPGGgYaBdMrhTr7HrpAbDQKcb4ZCMVLoen2iFvodx8QADvSDTG+kyHdSaPkqp65l5rjHmpqaBXsfM1xljLhw7EZVSG4mIUYFGBdpVpCdrD/EOQ7xd8yHPcS9i4ehkBbqTGjxbDfRsfyOBy3zMcy66xG219RnfZ+y8CzhF6CAq0GMyXEp5IxH1jTHQ1xpjLsrDQNsETfOx7RYunE/797f/TlqbSBu+29lfwWotqHect4gGB4dO6mIR8W0iTxQ7DeuxbfJk7xrfZ+yWgOWVd+h7egJ5jnsR822q+W7/tnhxtuqHPbaTGlyEge5GDbQ58a5vfp86/SuMd118zjj9Tz8LTq4CQ4faX/td2eepQ66x815/itDBbvYdWTU4pUWdeHjHbtmwtxOJ6Hyt9VXtGuh6vcE9PVGWvGrrmEqlQuvve4I6+QtcrQX1nrecQcPDwyedbxHxbSJPFLstcDgYBGYggSLm21Tz/fhCmLZUMB5wJzW4CAPdjRpYRE5Ag2egWAR8yj5z3t7x0Vp3nK5Sikql0oRxsmpwWwZ6aGhoSaPReIyZV/X39z8zMjKylYg2aa23tGug7Vs40i4reV4JFnElNlVFqoj43Xwl6DKL8hx3l7ittj7j+4ydd/XDlX2efS9ivnWyAt1JDS7CQHdrBbrTdyGhwa6zfuL2eWqB6xn5jJ23Bhehg5PlfDfc8fFSgbaDGMfxeiGE3d/cS0T3GmNukFJuZuYttVrNGupjH9c90I88so3TJrRN5NNOm0sHDhwiTn0U0fLl8bgrkiL2ArUW1M3nTryF48pHO7uFpJv3IqUd85aA+Popbd/xQ9p/5zLmeXP3Pd9tf7K+QqnFrVMaXISB7kYNLCInoIf9ujUAAA4MSURBVMGus35yA+1rDQhJg33mvM/YrazKqsFtVaDzmQITf8uZ12ziTu9Bu3P9+D1oRQwmDHQ+mROSgLkSQd/zeYDS93zPw0C75k7a9jDQeBf/dLkCHcpHh6bjPNHf82RfhA5285vHgjPQIYt3txpo16fPW9XAvKr/riKSp4C4xs67EuoaP6S+u+ZdSHecYKC77y6cTzPhqgPQoTBep+l73H3mvM/YwVagYaCLr37YRL78ns4+fW4T9sjTT9BE1X9XEQnJRM7mvheRd5PlXBHiPdUFMww0DLTr3B/b3qcO+oyNi4f8Lh6K0EFUoNud6Q7Hw0D7MdCd3n89nZlwSBGCeOP2Ydp88Sne0+V81tuHafuetV3IGjzVHmSfZiLLWPnUQZ+xYaBhoNPOl+meOciqwV27Bzpk8e7WLRxFLBxT9d3nrXzX2HlvX3GNn+c2BtfYefe9iLyDgU671JxoF7IGw0C758NER8BAo4iRNpN8ajAMdNpRStnO52DCQNdosqfvO72FZKpb+Z2OPdX2Fd/bGHz3vdN3Prp1vmMLB7ZwpFyyJm3m08T6jI0KNCrQaecODHRaUinbdeuCOpurcei7n9cXFsEdF40TXzTCQMNAp1yyYKAnIODTwPuMnffFQxFrgE/PBQPdrsqMOd7nYMJMTF6Bnq2VyNAFDDkPAz1Wwn1qcLdu4ShqO9VEv4GQZYkNyUS69j+kvoe+/sBAu2b3NO19ijfMBAz04ODQSRkauoAh52GgYaBPEJhq/en0dqqp3oLkauBn4rMYk108zOa+h77+wEDDQOdGABcPfm4bw0TiwmnshRO2cPiZi91agfZpZGwuhv4sxlQXD7O97yHf/YWBzs0+Hv8imEg/C5dv9hh3jPtoKSnCsEyV8zDQfvIRBno895aBnq1Gqggt8Ln+IOcnzvl2NBivsfNwKx0mEpVIbOE4YWNDX7hgoCeufsBM4OKh6ItZmEhcOE2kRt7eA62UuoSINjJzWQhxt9b6ltEnODg4uDRJkruFEKcz814hxDu01vumKyiH/A5SGGgYaBhoGOgWgazi3ToeGjzdajL+7zBSMFJjsyL0C3nkfJdVoAcGBk4vlUrbyuXyykqlclAp9WCSJLfWarWHW8kppfwbIcQ9Wuu74zh+TxRFb9Ra//Z0kgcDPft+iTB0AcOFEy6c8t4DDQ2ebiVxq35jG8NOwhaOMNdeGOguM9BKqUuZea0x5gorPEqpy5h5tTFmg/33mjVrSnv37t2ntV5IRA0i6lFK/bvW+kXNf0+qfjDQYU5imEiYSFTfT5a9dirQ0GAYaFcCMFKovqP6no8Gt7UHWil1PTPPNcbc1DTQ65j5OmPMhfbftjpSLpf/QWv9slG3G58slUqvrlQqP51q4sNAw0C7Lgxp2vvcd4mLB1w85F2BhganmfXYwjGaAAw0DDQMdBcYaCnljUTUN8ZAX2uMucie3tDQ0JIkSbaNMdA/qtfr5zz++OM/m0r6zrxmE/eefkY2dUxxlH2dzV0Xn0MTVcPe9c3vUydj29PzGd9nbPTdX95h3Ltvvtv5sHjxgsyFDGhwCrGfoMlkc6G1haPTa4DPuYi+j9cBjPtOmq05344GZxbuZsX5pC0b9nYiEZ2vtb7K/n3UFg67ZSNpbuGwWzoWTbeFI5ss4igQAAEQmD0Exm6bgwbPnrFHT0EABPwSaMtA2wpzo9F4jJlX9ff3PzMyMrKViDZprbe0uiWl3CKE+KbW+stSysuJ6K3GmLf57TaigwAIgMDMJwANnvljiB6AAAjMTAJtGWjb5TiO1wshNhJRLxHda4y5QUq5mZm31Gq1rXEcvzSKoi8S0RIi2p8kyTtrtdqPZyYunDUIgAAIdBcBaHB3jQfOBgRAYHYQaNtAzw5M6CUIgAAIgAAIgAAIgAAIHCcAA41MAAEQAAEQAAEQAAEQAAEHAjDQDrDQFARAAARAAARAAARAAARgoJEDIAACIAACIAACIAACIOBAAAbaARaaggAIgAAIgAAIgAAIgEAQBlopdQkRbWTmshDibq31LUUObRzHC4QQj9br9V/fvXv3k0XGVkr9HjO/h4iYiP5h6dKl7/3Od75TL+IcpJSfFEK8mZkTIcRfaq1vLyLu6BhKqf9ORAu11r9TZGyl1NeY+ZVCiOeacT82+vWNnT6XOI7fbN9+I4Q4lZkfMsZ8qNMx7fdLKd8rhHhfM98EM58hhLhfa21fUVnIp/mu4xuYmYUQ39Jaf6SQwESklLJx3y2EeIGZv26M+ZOiYndznNmqwT71tzkfocEeNNiX/kKDu0uDZ7yBtj8XXiqVtpXL5ZWVSuWgUurBJElurdVqDxex4MRx/BohxOeFEPLo0aOySAOtlPoVZr7jyJEjq/bs2fOClPKuKIq+X61WP9PpvkspLxJCfERrvfblL3/5Kb29vTtKpdKv7tixo9bp2K3vV0qtI6KvEdHWog20lNIcOXLk1Xv27HmmqP6O6veZRPTdKIp+ZefOnT9TSv0dEX1Sa/2tIs9lxYoVcaPReLBUKr2+Uqn8tIjYy5Yt6+vr6/txT0+P3Llz5wGl1PeI6A+01pZBRz8235j59nK5/LpKpXJISnmvEOKLWut7Oxq4y798tmqwT/1tGilosAcNVkp1hf7aHIAG+9XgGW+gbTWKmdcaY66wCTX2l7k6vfZIKb9gq6/M/OV6vb6mSAO9fPny5VEULTHGfLcpqNcS0VJjjP3/Ij499hclV6xYcUaj0XhECPHaarX6kyICDw8Pv6herz8ghPgrZj6rSAPdjP04ET3KzC8TQtyjtf54Ef1u5vjv2XHWWv++/ffw8PBLoig6/IMf/OBAUefQPI+HhBB3VqvVrxQVd3h4eN7Ro0efTJLkrHq9/m+9vb2PJknywV27dv19p89BSml5LzbGXN/s//uJaJXW+t2djt3N3z9bNbgL9NemBTS4YA22dx26QX+hwcf8nlcNDsFAX8/Mc40xNzUTylaJrjPGXFjkoiOl/GG9Xl9dpIEe3b9XvOIVL+7p6dlGRO9qGeoi+q+UsttlrKB8vUgTK6X8RhRFm5IksVsIVhcce4iIbj5y5Mh7G43G4b6+PvsLnF82xnypCOZSyk1EdJiIBoUQ9geK7BaKPyoidiuGlPI8IcRntdZnFxm3eaF4tRDiVmY+JIT4v1rri4s4B6XUBUR0W29v79qRkZHne3t7/8a+CrRorSmiry4xlFKzXoN96W9zzYMGF6jB3aC/TR2EBnvW4BlvoKWUNxJR3xgDfa0x5iKXRaDdtj4N9ODg4MuZ2Zo4u//7k+32xfX45m31rUKIr2mt73A93rW9UmqDNY+2Amt/Hr5oAz32fJVSbyWiSws0cp8nonOjKDqvXq//PIqi+5j5K8aYu1xZZm2vlPoKM/+vImPacx0cHPxPzPylKIreNHfu3GefffZZW/3eZoz5dNa+uBynlPpQ85mD/UT0bSHEa7TWb3H5jtDaznYN9q2/Np+gwcVpsFLKu/42L5ygwZ41eMYb6LFbNpoPGJ2vtb6qyIXKl4GWUp4thLDm+RNaa1uZLOQTx/GKUqkU7dy581+bk/m/NE3t73b6BJRSDzHzS4QQDSJ6kb0DYS8einqQbnBw8JxGo7HE/lR9sxLwdiL6DWPMOzrd92a8jwshTtNaf7DJ/v3MPGyMubqI+GvWrCnt3bv3qTlz5gxs3779UBExWzHsNgohxItbDw429+K/X2v95k6fh90+wswLd+zY8UST+4ftFh5jzIc7Hbubv382a7Av/bX5AA32o8FSSq/6a8ceGtwdGjzjDfTQ0NCSRqPxGDOv6u/vf2ZkZMSamk1FvhGhaWoK38IRx/FiIcS/CCGsgSj0QaY4jtcLIT60dOnStU899VRPFEW2Av0X1Wr1m0Uu9j4q0MuXL39tT0/PXaVS6ZVEdKRer9uc+4LW+utF9F1K+Woiuqter6/avXv3z6WU99gqdLVa/csi4sdxbN8+8lljzLlFxBsdI47jNwohPtXX1/e67du3P6eU2sTMTxtjbu70uQwNDf1So9H46tKlS1c++eSTc8vl8vcajcaGIvZfd7pv7Xz/bNVgn/rbNNDQYA8a7Ft/m2MPDe4CDZ7xBnqUkGwkol4iutcYc0M7C0KWY6WUu4t+iFAp9V+Z+UNCCNP8WXb7KrsHitoPa+MT0duY2b42z77S6xNZ2LVzjA8D3ao+EtGVzNwjhPhrrfVH2+mH67FSSvvgmn1YtCSE+LbW2lb+7fh3/DM4OHgxM79da/3bHQ82QQAp5XVEZB8atvvA/9+RI0c+YN9CU8S52P2+9jkDZo7sfmhjzOYi4nZ7jOYF9azSYN/629QhaLAHDfapv3bcocHdocFBGOhuX1xwfiAAAiAAAiAAAiAAAuEQgIEOZyzRExAAARAAARAAARAAgQIIwEAXABkhQAAEQAAEQAAEQAAEwiEAAx3OWKInIAACIAACIAACIAACBRCAgS4AMkKAAAiAAAiAAAiAAAiEQwAGOpyxRE9AAARAAARAAARAAAQKIAADXQBkhAABEAABEAABEAABEAiHAAx0OGOJnoAACIAACIAACIAACBRAAAa6AMgIAQIgAAIgAAIgAAIgEA4BGOhwxhI9AQEQAAEQAAEQAAEQKIAADHQBkBECBEAABEAABEAABEAgHAIw0OGMJXoCAiAAAiAAAiAAAiBQAAEY6AIgIwQIgAAIgAAIgAAIgEA4BGCgwxlL9AQEQAAEQAAEQAAEQKAAAjDQBUBGCBAAARAAARAAARAAgXAIwECHM5boCQiAAAiAAAiAAAiAQAEE/j9g63hDes8arAAAAABJRU5ErkJggg==\">"
-      ],
-      "text/plain": [
-       "<IPython.core.display.HTML object>"
+       "<matplotlib.figure.Figure at 0x1cf135ca2b0>"
       ]
      },
      "metadata": {},
@@ -11250,8 +2827,7 @@
    "source": [
     "likelihood = lh_hallway(hallway, z=1, z_prob=.75)\n",
     "posterior = update(likelihood, prior)\n",
-    "with interactive_plot():\n",
-    "    bp.plot_prior_vs_posterior(prior, posterior, ylim=(0,.5))"
+    "bp.plot_prior_vs_posterior(prior, posterior, ylim=(0,.5))"
    ]
   },
   {
@@ -11270,775 +2846,9 @@
    "outputs": [
     {
      "data": {
-      "application/javascript": [
-       "/* Put everything inside the global mpl namespace */\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('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",
-       "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 = $('<div/>');\n",
-       "    this._root_extra_style(this.root)\n",
-       "    this.root.attr('style', 'display: inline-block');\n",
-       "\n",
-       "    $(parent_element).append(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",
-       "            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",
-       "        this.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 = $(\n",
-       "        '<div class=\"ui-dialog-titlebar ui-widget-header ui-corner-all ' +\n",
-       "        'ui-helper-clearfix\"/>');\n",
-       "    var titletext = $(\n",
-       "        '<div class=\"ui-dialog-title\" style=\"width: 100%; ' +\n",
-       "        'text-align: center; padding: 3px;\"/>');\n",
-       "    titlebar.append(titletext)\n",
-       "    this.root.append(titlebar);\n",
-       "    this.header = titletext[0];\n",
-       "}\n",
-       "\n",
-       "\n",
-       "\n",
-       "mpl.figure.prototype._canvas_extra_style = function(canvas_div) {\n",
-       "\n",
-       "}\n",
-       "\n",
-       "\n",
-       "mpl.figure.prototype._root_extra_style = function(canvas_div) {\n",
-       "\n",
-       "}\n",
-       "\n",
-       "mpl.figure.prototype._init_canvas = function() {\n",
-       "    var fig = this;\n",
-       "\n",
-       "    var canvas_div = $('<div/>');\n",
-       "\n",
-       "    canvas_div.attr('style', 'position: relative; clear: both; outline: 0');\n",
-       "\n",
-       "    function canvas_keyboard_event(event) {\n",
-       "        return fig.key_event(event, event['data']);\n",
-       "    }\n",
-       "\n",
-       "    canvas_div.keydown('key_press', canvas_keyboard_event);\n",
-       "    canvas_div.keyup('key_release', canvas_keyboard_event);\n",
-       "    this.canvas_div = canvas_div\n",
-       "    this._canvas_extra_style(canvas_div)\n",
-       "    this.root.append(canvas_div);\n",
-       "\n",
-       "    var canvas = $('<canvas/>');\n",
-       "    canvas.addClass('mpl-canvas');\n",
-       "    canvas.attr('style', \"left: 0; top: 0; z-index: 0; outline: 0\")\n",
-       "\n",
-       "    this.canvas = canvas[0];\n",
-       "    this.context = canvas[0].getContext(\"2d\");\n",
-       "\n",
-       "    var rubberband = $('<canvas/>');\n",
-       "    rubberband.attr('style', \"position: absolute; left: 0; top: 0; z-index: 1;\")\n",
-       "\n",
-       "    var pass_mouse_events = true;\n",
-       "\n",
-       "    canvas_div.resizable({\n",
-       "        start: function(event, ui) {\n",
-       "            pass_mouse_events = false;\n",
-       "        },\n",
-       "        resize: function(event, ui) {\n",
-       "            fig.request_resize(ui.size.width, ui.size.height);\n",
-       "        },\n",
-       "        stop: function(event, ui) {\n",
-       "            pass_mouse_events = true;\n",
-       "            fig.request_resize(ui.size.width, ui.size.height);\n",
-       "        },\n",
-       "    });\n",
-       "\n",
-       "    function mouse_event_fn(event) {\n",
-       "        if (pass_mouse_events)\n",
-       "            return fig.mouse_event(event, event['data']);\n",
-       "    }\n",
-       "\n",
-       "    rubberband.mousedown('button_press', mouse_event_fn);\n",
-       "    rubberband.mouseup('button_release', mouse_event_fn);\n",
-       "    // Throttle sequential mouse events to 1 every 20ms.\n",
-       "    rubberband.mousemove('motion_notify', mouse_event_fn);\n",
-       "\n",
-       "    rubberband.mouseenter('figure_enter', mouse_event_fn);\n",
-       "    rubberband.mouseleave('figure_leave', mouse_event_fn);\n",
-       "\n",
-       "    canvas_div.on(\"wheel\", function (event) {\n",
-       "        event = event.originalEvent;\n",
-       "        event['data'] = 'scroll'\n",
-       "        if (event.deltaY < 0) {\n",
-       "            event.step = 1;\n",
-       "        } else {\n",
-       "            event.step = -1;\n",
-       "        }\n",
-       "        mouse_event_fn(event);\n",
-       "    });\n",
-       "\n",
-       "    canvas_div.append(canvas);\n",
-       "    canvas_div.append(rubberband);\n",
-       "\n",
-       "    this.rubberband = rubberband;\n",
-       "    this.rubberband_canvas = rubberband[0];\n",
-       "    this.rubberband_context = rubberband[0].getContext(\"2d\");\n",
-       "    this.rubberband_context.strokeStyle = \"#000000\";\n",
-       "\n",
-       "    this._resize_canvas = function(width, height) {\n",
-       "        // Keep the size of the canvas, canvas container, and rubber band\n",
-       "        // canvas in synch.\n",
-       "        canvas_div.css('width', width)\n",
-       "        canvas_div.css('height', height)\n",
-       "\n",
-       "        canvas.attr('width', width);\n",
-       "        canvas.attr('height', height);\n",
-       "\n",
-       "        rubberband.attr('width', width);\n",
-       "        rubberband.attr('height', height);\n",
-       "    }\n",
-       "\n",
-       "    // Set the figure to an initial 600x600px, this will subsequently be updated\n",
-       "    // upon first draw.\n",
-       "    this._resize_canvas(600, 600);\n",
-       "\n",
-       "    // Disable right mouse context menu.\n",
-       "    $(this.rubberband_canvas).bind(\"contextmenu\",function(e){\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 nav_element = $('<div/>')\n",
-       "    nav_element.attr('style', 'width: 100%');\n",
-       "    this.root.append(nav_element);\n",
-       "\n",
-       "    // Define a callback function for later on.\n",
-       "    function toolbar_event(event) {\n",
-       "        return fig.toolbar_button_onclick(event['data']);\n",
-       "    }\n",
-       "    function toolbar_mouse_event(event) {\n",
-       "        return fig.toolbar_button_onmouseover(event['data']);\n",
-       "    }\n",
-       "\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",
-       "            // put a spacer in here.\n",
-       "            continue;\n",
-       "        }\n",
-       "        var button = $('<button/>');\n",
-       "        button.addClass('ui-button ui-widget ui-state-default ui-corner-all ' +\n",
-       "                        'ui-button-icon-only');\n",
-       "        button.attr('role', 'button');\n",
-       "        button.attr('aria-disabled', 'false');\n",
-       "        button.click(method_name, toolbar_event);\n",
-       "        button.mouseover(tooltip, toolbar_mouse_event);\n",
-       "\n",
-       "        var icon_img = $('<span/>');\n",
-       "        icon_img.addClass('ui-button-icon-primary ui-icon');\n",
-       "        icon_img.addClass(image);\n",
-       "        icon_img.addClass('ui-corner-all');\n",
-       "\n",
-       "        var tooltip_span = $('<span/>');\n",
-       "        tooltip_span.addClass('ui-button-text');\n",
-       "        tooltip_span.html(tooltip);\n",
-       "\n",
-       "        button.append(icon_img);\n",
-       "        button.append(tooltip_span);\n",
-       "\n",
-       "        nav_element.append(button);\n",
-       "    }\n",
-       "\n",
-       "    var fmt_picker_span = $('<span/>');\n",
-       "\n",
-       "    var fmt_picker = $('<select/>');\n",
-       "    fmt_picker.addClass('mpl-toolbar-option ui-widget ui-widget-content');\n",
-       "    fmt_picker_span.append(fmt_picker);\n",
-       "    nav_element.append(fmt_picker_span);\n",
-       "    this.format_dropdown = fmt_picker[0];\n",
-       "\n",
-       "    for (var ind in mpl.extensions) {\n",
-       "        var fmt = mpl.extensions[ind];\n",
-       "        var option = $(\n",
-       "            '<option/>', {selected: fmt === mpl.default_extension}).html(fmt);\n",
-       "        fmt_picker.append(option)\n",
-       "    }\n",
-       "\n",
-       "    // Add hover states to the ui-buttons\n",
-       "    $( \".ui-button\" ).hover(\n",
-       "        function() { $(this).addClass(\"ui-state-hover\");},\n",
-       "        function() { $(this).removeClass(\"ui-state-hover\");}\n",
-       "    );\n",
-       "\n",
-       "    var status_bar = $('<span class=\"mpl-message\"/>');\n",
-       "    nav_element.append(status_bar);\n",
-       "    this.message = status_bar[0];\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",
-       "\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",
-       "\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]);\n",
-       "        fig.send_message(\"refresh\", {});\n",
-       "    };\n",
-       "}\n",
-       "\n",
-       "mpl.figure.prototype.handle_rubberband = function(fig, msg) {\n",
-       "    var x0 = msg['x0'];\n",
-       "    var y0 = fig.canvas.height - msg['y0'];\n",
-       "    var x1 = msg['x1'];\n",
-       "    var y1 = fig.canvas.height - msg['y1'];\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, 0, fig.canvas.width, fig.canvas.height);\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",
-       "    {\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.updated_canvas_event = function() {\n",
-       "    // Called whenever the canvas gets updated.\n",
-       "    this.send_message(\"ack\", {});\n",
-       "}\n",
-       "\n",
-       "// A function to construct a web socket function for onmessage handling.\n",
-       "// Called in the figure constructor.\n",
-       "mpl.figure.prototype._make_on_message_function = function(fig) {\n",
-       "    return function socket_on_message(evt) {\n",
-       "        if (evt.data instanceof Blob) {\n",
-       "            /* FIXME: We get \"Resource interpreted as Image but\n",
-       "             * transferred with MIME type text/plain:\" errors on\n",
-       "             * Chrome.  But how to set the MIME type?  It doesn't seem\n",
-       "             * to be part of the websocket stream */\n",
-       "            evt.data.type = \"image/png\";\n",
-       "\n",
-       "            /* Free the memory for the previous frames */\n",
-       "            if (fig.imageObj.src) {\n",
-       "                (window.URL || window.webkitURL).revokeObjectURL(\n",
-       "                    fig.imageObj.src);\n",
-       "            }\n",
-       "\n",
-       "            fig.imageObj.src = (window.URL || window.webkitURL).createObjectURL(\n",
-       "                evt.data);\n",
-       "            fig.updated_canvas_event();\n",
-       "            fig.waiting = false;\n",
-       "            return;\n",
-       "        }\n",
-       "        else if (typeof evt.data === 'string' && evt.data.slice(0, 21) == \"data:image/png;base64\") {\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(\"No handler for the '\" + msg_type + \"' message type: \", msg);\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(\"Exception inside the 'handler_\" + msg_type + \"' callback:\", e, e.stack, msg);\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",
-       "    if (e.target)\n",
-       "        targ = e.target;\n",
-       "    else if (e.srcElement)\n",
-       "        targ = e.srcElement;\n",
-       "    if (targ.nodeType == 3) // defeat Safari bug\n",
-       "        targ = targ.parentNode;\n",
-       "\n",
-       "    // jQuery normalizes the pageX and pageY\n",
-       "    // pageX,Y are the mouse positions relative to the document\n",
-       "    // offset() returns the position of the element relative to the document\n",
-       "    var x = e.pageX - $(targ).offset().left;\n",
-       "    var y = e.pageY - $(targ).offset().top;\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",
-       "    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",
-       "    {\n",
-       "        this.canvas.focus();\n",
-       "        this.canvas_div.focus();\n",
-       "    }\n",
-       "\n",
-       "    var x = canvas_pos.x;\n",
-       "    var y = canvas_pos.y;\n",
-       "\n",
-       "    this.send_message(name, {x: x, y: y, button: event.button,\n",
-       "                             step: event.step,\n",
-       "                             guiEvent: simpleKeys(event)});\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",
-       "\n",
-       "    // Prevent repeat events\n",
-       "    if (name == 'key_press')\n",
-       "    {\n",
-       "        if (event.which === this._key)\n",
-       "            return;\n",
-       "        else\n",
-       "            this._key = event.which;\n",
-       "    }\n",
-       "    if (name == 'key_release')\n",
-       "        this._key = null;\n",
-       "\n",
-       "    var value = '';\n",
-       "    if (event.ctrlKey && event.which != 17)\n",
-       "        value += \"ctrl+\";\n",
-       "    if (event.altKey && event.which != 18)\n",
-       "        value += \"alt+\";\n",
-       "    if (event.shiftKey && event.which != 16)\n",
-       "        value += \"shift+\";\n",
-       "\n",
-       "    value += 'k';\n",
-       "    value += event.which.toString();\n",
-       "\n",
-       "    this._key_event_extra(event, name);\n",
-       "\n",
-       "    this.send_message(name, {key: value,\n",
-       "                             guiEvent: simpleKeys(event)});\n",
-       "    return false;\n",
-       "}\n",
-       "\n",
-       "mpl.figure.prototype.toolbar_button_onclick = function(name) {\n",
-       "    if (name == 'download') {\n",
-       "        this.handle_save(this, null);\n",
-       "    } else {\n",
-       "        this.send_message(\"toolbar_button\", {name: name});\n",
-       "    }\n",
-       "};\n",
-       "\n",
-       "mpl.figure.prototype.toolbar_button_onmouseover = function(tooltip) {\n",
-       "    this.message.textContent = tooltip;\n",
-       "};\n",
-       "mpl.toolbar_items = [[\"Home\", \"Reset original view\", \"fa fa-home icon-home\", \"home\"], [\"Back\", \"Back to  previous view\", \"fa fa-arrow-left icon-arrow-left\", \"back\"], [\"Forward\", \"Forward to next view\", \"fa fa-arrow-right icon-arrow-right\", \"forward\"], [\"\", \"\", \"\", \"\"], [\"Pan\", \"Pan axes with left mouse, zoom with right\", \"fa fa-arrows icon-move\", \"pan\"], [\"Zoom\", \"Zoom to rectangle\", \"fa fa-square-o icon-check-empty\", \"zoom\"], [\"\", \"\", \"\", \"\"], [\"Download\", \"Download plot\", \"fa fa-floppy-o icon-save\", \"download\"]];\n",
-       "\n",
-       "mpl.extensions = [\"eps\", \"jpeg\", \"pdf\", \"png\", \"ps\", \"raw\", \"svg\", \"tif\"];\n",
-       "\n",
-       "mpl.default_extension = \"png\";var comm_websocket_adapter = function(comm) {\n",
-       "    // Create a \"websocket\"-like object which calls the given IPython comm\n",
-       "    // object with the appropriate methods. Currently this is a non binary\n",
-       "    // socket, so there is still some room for performance tuning.\n",
-       "    var ws = {};\n",
-       "\n",
-       "    ws.close = function() {\n",
-       "        comm.close()\n",
-       "    };\n",
-       "    ws.send = function(m) {\n",
-       "        //console.log('sending', m);\n",
-       "        comm.send(m);\n",
-       "    };\n",
-       "    // Register the callback with on_msg.\n",
-       "    comm.on_msg(function(msg) {\n",
-       "        //console.log('receiving', msg['content']['data'], msg);\n",
-       "        // Pass the mpl event to the overriden (by mpl) onmessage function.\n",
-       "        ws.onmessage(msg['content']['data'])\n",
-       "    });\n",
-       "    return ws;\n",
-       "}\n",
-       "\n",
-       "mpl.mpl_figure_comm = function(comm, msg) {\n",
-       "    // This is the function which gets called when the mpl process\n",
-       "    // starts-up an IPython Comm through the \"matplotlib\" channel.\n",
-       "\n",
-       "    var id = msg.content.data.id;\n",
-       "    // Get hold of the div created by the display call when the Comm\n",
-       "    // socket was opened in Python.\n",
-       "    var element = $(\"#\" + id);\n",
-       "    var ws_proxy = comm_websocket_adapter(comm)\n",
-       "\n",
-       "    function ondownload(figure, format) {\n",
-       "        window.open(figure.imageObj.src);\n",
-       "    }\n",
-       "\n",
-       "    var fig = new mpl.figure(id, ws_proxy,\n",
-       "                           ondownload,\n",
-       "                           element.get(0));\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.get(0);\n",
-       "    fig.cell_info = mpl.find_output_cell(\"<div id='\" + id + \"'></div>\");\n",
-       "    if (!fig.cell_info) {\n",
-       "        console.error(\"Failed to find cell for figure\", id, fig);\n",
-       "        return;\n",
-       "    }\n",
-       "\n",
-       "    var output_index = fig.cell_info[2]\n",
-       "    var cell = fig.cell_info[0];\n",
-       "\n",
-       "};\n",
-       "\n",
-       "mpl.figure.prototype.handle_close = function(fig, msg) {\n",
-       "    fig.root.unbind('remove')\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).html('<img src=\"' + dataURL + '\">');\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 dataURL = this.canvas.toDataURL();\n",
-       "    this.cell_info[1]['text/html'] = '<img src=\"' + dataURL + '\">';\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 () { fig.push_to_output() }, 1000);\n",
-       "}\n",
-       "\n",
-       "mpl.figure.prototype._init_toolbar = function() {\n",
-       "    var fig = this;\n",
-       "\n",
-       "    var nav_element = $('<div/>')\n",
-       "    nav_element.attr('style', 'width: 100%');\n",
-       "    this.root.append(nav_element);\n",
-       "\n",
-       "    // Define a callback function for later on.\n",
-       "    function toolbar_event(event) {\n",
-       "        return fig.toolbar_button_onclick(event['data']);\n",
-       "    }\n",
-       "    function toolbar_mouse_event(event) {\n",
-       "        return fig.toolbar_button_onmouseover(event['data']);\n",
-       "    }\n",
-       "\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) { continue; };\n",
-       "\n",
-       "        var button = $('<button class=\"btn btn-default\" href=\"#\" title=\"' + name + '\"><i class=\"fa ' + image + ' fa-lg\"></i></button>');\n",
-       "        button.click(method_name, toolbar_event);\n",
-       "        button.mouseover(tooltip, toolbar_mouse_event);\n",
-       "        nav_element.append(button);\n",
-       "    }\n",
-       "\n",
-       "    // Add the status bar.\n",
-       "    var status_bar = $('<span class=\"mpl-message\" style=\"text-align:right; float: right;\"/>');\n",
-       "    nav_element.append(status_bar);\n",
-       "    this.message = status_bar[0];\n",
-       "\n",
-       "    // Add the close button to the window.\n",
-       "    var buttongrp = $('<div class=\"btn-group inline pull-right\"></div>');\n",
-       "    var button = $('<button class=\"btn btn-mini btn-primary\" href=\"#\" title=\"Stop Interaction\"><i class=\"fa fa-power-off icon-remove icon-large\"></i></button>');\n",
-       "    button.click(function (evt) { fig.handle_close(fig, {}); } );\n",
-       "    button.mouseover('Stop Interaction', toolbar_mouse_event);\n",
-       "    buttongrp.append(button);\n",
-       "    var titlebar = this.root.find($('.ui-dialog-titlebar'));\n",
-       "    titlebar.prepend(buttongrp);\n",
-       "}\n",
-       "\n",
-       "mpl.figure.prototype._root_extra_style = function(el){\n",
-       "    var fig = this\n",
-       "    el.on(\"remove\", function(){\n",
-       "\tfig.close_ws(fig, {});\n",
-       "    });\n",
-       "}\n",
-       "\n",
-       "mpl.figure.prototype._canvas_extra_style = function(el){\n",
-       "    // this is important to make the div 'focusable\n",
-       "    el.attr('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",
-       "    }\n",
-       "    else {\n",
-       "        // location in version 2\n",
-       "        IPython.keyboard_manager.register_events(el);\n",
-       "    }\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",
-       "    // Check for shift+enter\n",
-       "    if (event.shiftKey && event.which == 13) {\n",
-       "        this.canvas_div.blur();\n",
-       "        event.shiftKey = false;\n",
-       "        // Send a \"J\" for go to next cell\n",
-       "        event.which = 74;\n",
-       "        event.keyCode = 74;\n",
-       "        manager.command_mode();\n",
-       "        manager.handle_keydown(event);\n",
-       "    }\n",
-       "}\n",
-       "\n",
-       "mpl.figure.prototype.handle_save = function(fig, msg) {\n",
-       "    fig.ondownload(fig, null);\n",
-       "}\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('matplotlib', mpl.mpl_figure_comm);\n",
-       "}\n"
-      ],
+      "image/png": "iVBORw0KGgoAAAANSUhEUgAAAhkAAACbCAYAAADP/YlxAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\n",
       "text/plain": [
-       "<IPython.core.display.Javascript object>"
-      ]
-     },
-     "metadata": {},
-     "output_type": "display_data"
-    },
-    {
-     "data": {
-      "text/html": [
-       "<img src=\"data:image/png;base64,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\">"
-      ],
-      "text/plain": [
-       "<IPython.core.display.HTML object>"
+       "<matplotlib.figure.Figure at 0x1cf1367b3c8>"
       ]
      },
      "metadata": {},
@@ -12049,8 +2859,7 @@
     "prior = predict(posterior, 1, kernel)\n",
     "likelihood = lh_hallway(hallway, z=0, z_prob=.75)\n",
     "posterior = update(likelihood, prior)\n",
-    "with interactive_plot():\n",
-    "    bp.plot_prior_vs_posterior(prior, posterior, ylim=(0,.5))"
+    "bp.plot_prior_vs_posterior(prior, posterior, ylim=(0,.5))"
    ]
   },
   {
@@ -12070,775 +2879,9 @@
    "outputs": [
     {
      "data": {
-      "application/javascript": [
-       "/* Put everything inside the global mpl namespace */\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('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",
-       "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 = $('<div/>');\n",
-       "    this._root_extra_style(this.root)\n",
-       "    this.root.attr('style', 'display: inline-block');\n",
-       "\n",
-       "    $(parent_element).append(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",
-       "            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",
-       "        this.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 = $(\n",
-       "        '<div class=\"ui-dialog-titlebar ui-widget-header ui-corner-all ' +\n",
-       "        'ui-helper-clearfix\"/>');\n",
-       "    var titletext = $(\n",
-       "        '<div class=\"ui-dialog-title\" style=\"width: 100%; ' +\n",
-       "        'text-align: center; padding: 3px;\"/>');\n",
-       "    titlebar.append(titletext)\n",
-       "    this.root.append(titlebar);\n",
-       "    this.header = titletext[0];\n",
-       "}\n",
-       "\n",
-       "\n",
-       "\n",
-       "mpl.figure.prototype._canvas_extra_style = function(canvas_div) {\n",
-       "\n",
-       "}\n",
-       "\n",
-       "\n",
-       "mpl.figure.prototype._root_extra_style = function(canvas_div) {\n",
-       "\n",
-       "}\n",
-       "\n",
-       "mpl.figure.prototype._init_canvas = function() {\n",
-       "    var fig = this;\n",
-       "\n",
-       "    var canvas_div = $('<div/>');\n",
-       "\n",
-       "    canvas_div.attr('style', 'position: relative; clear: both; outline: 0');\n",
-       "\n",
-       "    function canvas_keyboard_event(event) {\n",
-       "        return fig.key_event(event, event['data']);\n",
-       "    }\n",
-       "\n",
-       "    canvas_div.keydown('key_press', canvas_keyboard_event);\n",
-       "    canvas_div.keyup('key_release', canvas_keyboard_event);\n",
-       "    this.canvas_div = canvas_div\n",
-       "    this._canvas_extra_style(canvas_div)\n",
-       "    this.root.append(canvas_div);\n",
-       "\n",
-       "    var canvas = $('<canvas/>');\n",
-       "    canvas.addClass('mpl-canvas');\n",
-       "    canvas.attr('style', \"left: 0; top: 0; z-index: 0; outline: 0\")\n",
-       "\n",
-       "    this.canvas = canvas[0];\n",
-       "    this.context = canvas[0].getContext(\"2d\");\n",
-       "\n",
-       "    var rubberband = $('<canvas/>');\n",
-       "    rubberband.attr('style', \"position: absolute; left: 0; top: 0; z-index: 1;\")\n",
-       "\n",
-       "    var pass_mouse_events = true;\n",
-       "\n",
-       "    canvas_div.resizable({\n",
-       "        start: function(event, ui) {\n",
-       "            pass_mouse_events = false;\n",
-       "        },\n",
-       "        resize: function(event, ui) {\n",
-       "            fig.request_resize(ui.size.width, ui.size.height);\n",
-       "        },\n",
-       "        stop: function(event, ui) {\n",
-       "            pass_mouse_events = true;\n",
-       "            fig.request_resize(ui.size.width, ui.size.height);\n",
-       "        },\n",
-       "    });\n",
-       "\n",
-       "    function mouse_event_fn(event) {\n",
-       "        if (pass_mouse_events)\n",
-       "            return fig.mouse_event(event, event['data']);\n",
-       "    }\n",
-       "\n",
-       "    rubberband.mousedown('button_press', mouse_event_fn);\n",
-       "    rubberband.mouseup('button_release', mouse_event_fn);\n",
-       "    // Throttle sequential mouse events to 1 every 20ms.\n",
-       "    rubberband.mousemove('motion_notify', mouse_event_fn);\n",
-       "\n",
-       "    rubberband.mouseenter('figure_enter', mouse_event_fn);\n",
-       "    rubberband.mouseleave('figure_leave', mouse_event_fn);\n",
-       "\n",
-       "    canvas_div.on(\"wheel\", function (event) {\n",
-       "        event = event.originalEvent;\n",
-       "        event['data'] = 'scroll'\n",
-       "        if (event.deltaY < 0) {\n",
-       "            event.step = 1;\n",
-       "        } else {\n",
-       "            event.step = -1;\n",
-       "        }\n",
-       "        mouse_event_fn(event);\n",
-       "    });\n",
-       "\n",
-       "    canvas_div.append(canvas);\n",
-       "    canvas_div.append(rubberband);\n",
-       "\n",
-       "    this.rubberband = rubberband;\n",
-       "    this.rubberband_canvas = rubberband[0];\n",
-       "    this.rubberband_context = rubberband[0].getContext(\"2d\");\n",
-       "    this.rubberband_context.strokeStyle = \"#000000\";\n",
-       "\n",
-       "    this._resize_canvas = function(width, height) {\n",
-       "        // Keep the size of the canvas, canvas container, and rubber band\n",
-       "        // canvas in synch.\n",
-       "        canvas_div.css('width', width)\n",
-       "        canvas_div.css('height', height)\n",
-       "\n",
-       "        canvas.attr('width', width);\n",
-       "        canvas.attr('height', height);\n",
-       "\n",
-       "        rubberband.attr('width', width);\n",
-       "        rubberband.attr('height', height);\n",
-       "    }\n",
-       "\n",
-       "    // Set the figure to an initial 600x600px, this will subsequently be updated\n",
-       "    // upon first draw.\n",
-       "    this._resize_canvas(600, 600);\n",
-       "\n",
-       "    // Disable right mouse context menu.\n",
-       "    $(this.rubberband_canvas).bind(\"contextmenu\",function(e){\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 nav_element = $('<div/>')\n",
-       "    nav_element.attr('style', 'width: 100%');\n",
-       "    this.root.append(nav_element);\n",
-       "\n",
-       "    // Define a callback function for later on.\n",
-       "    function toolbar_event(event) {\n",
-       "        return fig.toolbar_button_onclick(event['data']);\n",
-       "    }\n",
-       "    function toolbar_mouse_event(event) {\n",
-       "        return fig.toolbar_button_onmouseover(event['data']);\n",
-       "    }\n",
-       "\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",
-       "            // put a spacer in here.\n",
-       "            continue;\n",
-       "        }\n",
-       "        var button = $('<button/>');\n",
-       "        button.addClass('ui-button ui-widget ui-state-default ui-corner-all ' +\n",
-       "                        'ui-button-icon-only');\n",
-       "        button.attr('role', 'button');\n",
-       "        button.attr('aria-disabled', 'false');\n",
-       "        button.click(method_name, toolbar_event);\n",
-       "        button.mouseover(tooltip, toolbar_mouse_event);\n",
-       "\n",
-       "        var icon_img = $('<span/>');\n",
-       "        icon_img.addClass('ui-button-icon-primary ui-icon');\n",
-       "        icon_img.addClass(image);\n",
-       "        icon_img.addClass('ui-corner-all');\n",
-       "\n",
-       "        var tooltip_span = $('<span/>');\n",
-       "        tooltip_span.addClass('ui-button-text');\n",
-       "        tooltip_span.html(tooltip);\n",
-       "\n",
-       "        button.append(icon_img);\n",
-       "        button.append(tooltip_span);\n",
-       "\n",
-       "        nav_element.append(button);\n",
-       "    }\n",
-       "\n",
-       "    var fmt_picker_span = $('<span/>');\n",
-       "\n",
-       "    var fmt_picker = $('<select/>');\n",
-       "    fmt_picker.addClass('mpl-toolbar-option ui-widget ui-widget-content');\n",
-       "    fmt_picker_span.append(fmt_picker);\n",
-       "    nav_element.append(fmt_picker_span);\n",
-       "    this.format_dropdown = fmt_picker[0];\n",
-       "\n",
-       "    for (var ind in mpl.extensions) {\n",
-       "        var fmt = mpl.extensions[ind];\n",
-       "        var option = $(\n",
-       "            '<option/>', {selected: fmt === mpl.default_extension}).html(fmt);\n",
-       "        fmt_picker.append(option)\n",
-       "    }\n",
-       "\n",
-       "    // Add hover states to the ui-buttons\n",
-       "    $( \".ui-button\" ).hover(\n",
-       "        function() { $(this).addClass(\"ui-state-hover\");},\n",
-       "        function() { $(this).removeClass(\"ui-state-hover\");}\n",
-       "    );\n",
-       "\n",
-       "    var status_bar = $('<span class=\"mpl-message\"/>');\n",
-       "    nav_element.append(status_bar);\n",
-       "    this.message = status_bar[0];\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",
-       "\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",
-       "\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]);\n",
-       "        fig.send_message(\"refresh\", {});\n",
-       "    };\n",
-       "}\n",
-       "\n",
-       "mpl.figure.prototype.handle_rubberband = function(fig, msg) {\n",
-       "    var x0 = msg['x0'];\n",
-       "    var y0 = fig.canvas.height - msg['y0'];\n",
-       "    var x1 = msg['x1'];\n",
-       "    var y1 = fig.canvas.height - msg['y1'];\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, 0, fig.canvas.width, fig.canvas.height);\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",
-       "    {\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.updated_canvas_event = function() {\n",
-       "    // Called whenever the canvas gets updated.\n",
-       "    this.send_message(\"ack\", {});\n",
-       "}\n",
-       "\n",
-       "// A function to construct a web socket function for onmessage handling.\n",
-       "// Called in the figure constructor.\n",
-       "mpl.figure.prototype._make_on_message_function = function(fig) {\n",
-       "    return function socket_on_message(evt) {\n",
-       "        if (evt.data instanceof Blob) {\n",
-       "            /* FIXME: We get \"Resource interpreted as Image but\n",
-       "             * transferred with MIME type text/plain:\" errors on\n",
-       "             * Chrome.  But how to set the MIME type?  It doesn't seem\n",
-       "             * to be part of the websocket stream */\n",
-       "            evt.data.type = \"image/png\";\n",
-       "\n",
-       "            /* Free the memory for the previous frames */\n",
-       "            if (fig.imageObj.src) {\n",
-       "                (window.URL || window.webkitURL).revokeObjectURL(\n",
-       "                    fig.imageObj.src);\n",
-       "            }\n",
-       "\n",
-       "            fig.imageObj.src = (window.URL || window.webkitURL).createObjectURL(\n",
-       "                evt.data);\n",
-       "            fig.updated_canvas_event();\n",
-       "            fig.waiting = false;\n",
-       "            return;\n",
-       "        }\n",
-       "        else if (typeof evt.data === 'string' && evt.data.slice(0, 21) == \"data:image/png;base64\") {\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(\"No handler for the '\" + msg_type + \"' message type: \", msg);\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(\"Exception inside the 'handler_\" + msg_type + \"' callback:\", e, e.stack, msg);\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",
-       "    if (e.target)\n",
-       "        targ = e.target;\n",
-       "    else if (e.srcElement)\n",
-       "        targ = e.srcElement;\n",
-       "    if (targ.nodeType == 3) // defeat Safari bug\n",
-       "        targ = targ.parentNode;\n",
-       "\n",
-       "    // jQuery normalizes the pageX and pageY\n",
-       "    // pageX,Y are the mouse positions relative to the document\n",
-       "    // offset() returns the position of the element relative to the document\n",
-       "    var x = e.pageX - $(targ).offset().left;\n",
-       "    var y = e.pageY - $(targ).offset().top;\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",
-       "    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",
-       "    {\n",
-       "        this.canvas.focus();\n",
-       "        this.canvas_div.focus();\n",
-       "    }\n",
-       "\n",
-       "    var x = canvas_pos.x;\n",
-       "    var y = canvas_pos.y;\n",
-       "\n",
-       "    this.send_message(name, {x: x, y: y, button: event.button,\n",
-       "                             step: event.step,\n",
-       "                             guiEvent: simpleKeys(event)});\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",
-       "\n",
-       "    // Prevent repeat events\n",
-       "    if (name == 'key_press')\n",
-       "    {\n",
-       "        if (event.which === this._key)\n",
-       "            return;\n",
-       "        else\n",
-       "            this._key = event.which;\n",
-       "    }\n",
-       "    if (name == 'key_release')\n",
-       "        this._key = null;\n",
-       "\n",
-       "    var value = '';\n",
-       "    if (event.ctrlKey && event.which != 17)\n",
-       "        value += \"ctrl+\";\n",
-       "    if (event.altKey && event.which != 18)\n",
-       "        value += \"alt+\";\n",
-       "    if (event.shiftKey && event.which != 16)\n",
-       "        value += \"shift+\";\n",
-       "\n",
-       "    value += 'k';\n",
-       "    value += event.which.toString();\n",
-       "\n",
-       "    this._key_event_extra(event, name);\n",
-       "\n",
-       "    this.send_message(name, {key: value,\n",
-       "                             guiEvent: simpleKeys(event)});\n",
-       "    return false;\n",
-       "}\n",
-       "\n",
-       "mpl.figure.prototype.toolbar_button_onclick = function(name) {\n",
-       "    if (name == 'download') {\n",
-       "        this.handle_save(this, null);\n",
-       "    } else {\n",
-       "        this.send_message(\"toolbar_button\", {name: name});\n",
-       "    }\n",
-       "};\n",
-       "\n",
-       "mpl.figure.prototype.toolbar_button_onmouseover = function(tooltip) {\n",
-       "    this.message.textContent = tooltip;\n",
-       "};\n",
-       "mpl.toolbar_items = [[\"Home\", \"Reset original view\", \"fa fa-home icon-home\", \"home\"], [\"Back\", \"Back to  previous view\", \"fa fa-arrow-left icon-arrow-left\", \"back\"], [\"Forward\", \"Forward to next view\", \"fa fa-arrow-right icon-arrow-right\", \"forward\"], [\"\", \"\", \"\", \"\"], [\"Pan\", \"Pan axes with left mouse, zoom with right\", \"fa fa-arrows icon-move\", \"pan\"], [\"Zoom\", \"Zoom to rectangle\", \"fa fa-square-o icon-check-empty\", \"zoom\"], [\"\", \"\", \"\", \"\"], [\"Download\", \"Download plot\", \"fa fa-floppy-o icon-save\", \"download\"]];\n",
-       "\n",
-       "mpl.extensions = [\"eps\", \"jpeg\", \"pdf\", \"png\", \"ps\", \"raw\", \"svg\", \"tif\"];\n",
-       "\n",
-       "mpl.default_extension = \"png\";var comm_websocket_adapter = function(comm) {\n",
-       "    // Create a \"websocket\"-like object which calls the given IPython comm\n",
-       "    // object with the appropriate methods. Currently this is a non binary\n",
-       "    // socket, so there is still some room for performance tuning.\n",
-       "    var ws = {};\n",
-       "\n",
-       "    ws.close = function() {\n",
-       "        comm.close()\n",
-       "    };\n",
-       "    ws.send = function(m) {\n",
-       "        //console.log('sending', m);\n",
-       "        comm.send(m);\n",
-       "    };\n",
-       "    // Register the callback with on_msg.\n",
-       "    comm.on_msg(function(msg) {\n",
-       "        //console.log('receiving', msg['content']['data'], msg);\n",
-       "        // Pass the mpl event to the overriden (by mpl) onmessage function.\n",
-       "        ws.onmessage(msg['content']['data'])\n",
-       "    });\n",
-       "    return ws;\n",
-       "}\n",
-       "\n",
-       "mpl.mpl_figure_comm = function(comm, msg) {\n",
-       "    // This is the function which gets called when the mpl process\n",
-       "    // starts-up an IPython Comm through the \"matplotlib\" channel.\n",
-       "\n",
-       "    var id = msg.content.data.id;\n",
-       "    // Get hold of the div created by the display call when the Comm\n",
-       "    // socket was opened in Python.\n",
-       "    var element = $(\"#\" + id);\n",
-       "    var ws_proxy = comm_websocket_adapter(comm)\n",
-       "\n",
-       "    function ondownload(figure, format) {\n",
-       "        window.open(figure.imageObj.src);\n",
-       "    }\n",
-       "\n",
-       "    var fig = new mpl.figure(id, ws_proxy,\n",
-       "                           ondownload,\n",
-       "                           element.get(0));\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.get(0);\n",
-       "    fig.cell_info = mpl.find_output_cell(\"<div id='\" + id + \"'></div>\");\n",
-       "    if (!fig.cell_info) {\n",
-       "        console.error(\"Failed to find cell for figure\", id, fig);\n",
-       "        return;\n",
-       "    }\n",
-       "\n",
-       "    var output_index = fig.cell_info[2]\n",
-       "    var cell = fig.cell_info[0];\n",
-       "\n",
-       "};\n",
-       "\n",
-       "mpl.figure.prototype.handle_close = function(fig, msg) {\n",
-       "    fig.root.unbind('remove')\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).html('<img src=\"' + dataURL + '\">');\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 dataURL = this.canvas.toDataURL();\n",
-       "    this.cell_info[1]['text/html'] = '<img src=\"' + dataURL + '\">';\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 () { fig.push_to_output() }, 1000);\n",
-       "}\n",
-       "\n",
-       "mpl.figure.prototype._init_toolbar = function() {\n",
-       "    var fig = this;\n",
-       "\n",
-       "    var nav_element = $('<div/>')\n",
-       "    nav_element.attr('style', 'width: 100%');\n",
-       "    this.root.append(nav_element);\n",
-       "\n",
-       "    // Define a callback function for later on.\n",
-       "    function toolbar_event(event) {\n",
-       "        return fig.toolbar_button_onclick(event['data']);\n",
-       "    }\n",
-       "    function toolbar_mouse_event(event) {\n",
-       "        return fig.toolbar_button_onmouseover(event['data']);\n",
-       "    }\n",
-       "\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) { continue; };\n",
-       "\n",
-       "        var button = $('<button class=\"btn btn-default\" href=\"#\" title=\"' + name + '\"><i class=\"fa ' + image + ' fa-lg\"></i></button>');\n",
-       "        button.click(method_name, toolbar_event);\n",
-       "        button.mouseover(tooltip, toolbar_mouse_event);\n",
-       "        nav_element.append(button);\n",
-       "    }\n",
-       "\n",
-       "    // Add the status bar.\n",
-       "    var status_bar = $('<span class=\"mpl-message\" style=\"text-align:right; float: right;\"/>');\n",
-       "    nav_element.append(status_bar);\n",
-       "    this.message = status_bar[0];\n",
-       "\n",
-       "    // Add the close button to the window.\n",
-       "    var buttongrp = $('<div class=\"btn-group inline pull-right\"></div>');\n",
-       "    var button = $('<button class=\"btn btn-mini btn-primary\" href=\"#\" title=\"Stop Interaction\"><i class=\"fa fa-power-off icon-remove icon-large\"></i></button>');\n",
-       "    button.click(function (evt) { fig.handle_close(fig, {}); } );\n",
-       "    button.mouseover('Stop Interaction', toolbar_mouse_event);\n",
-       "    buttongrp.append(button);\n",
-       "    var titlebar = this.root.find($('.ui-dialog-titlebar'));\n",
-       "    titlebar.prepend(buttongrp);\n",
-       "}\n",
-       "\n",
-       "mpl.figure.prototype._root_extra_style = function(el){\n",
-       "    var fig = this\n",
-       "    el.on(\"remove\", function(){\n",
-       "\tfig.close_ws(fig, {});\n",
-       "    });\n",
-       "}\n",
-       "\n",
-       "mpl.figure.prototype._canvas_extra_style = function(el){\n",
-       "    // this is important to make the div 'focusable\n",
-       "    el.attr('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",
-       "    }\n",
-       "    else {\n",
-       "        // location in version 2\n",
-       "        IPython.keyboard_manager.register_events(el);\n",
-       "    }\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",
-       "    // Check for shift+enter\n",
-       "    if (event.shiftKey && event.which == 13) {\n",
-       "        this.canvas_div.blur();\n",
-       "        event.shiftKey = false;\n",
-       "        // Send a \"J\" for go to next cell\n",
-       "        event.which = 74;\n",
-       "        event.keyCode = 74;\n",
-       "        manager.command_mode();\n",
-       "        manager.handle_keydown(event);\n",
-       "    }\n",
-       "}\n",
-       "\n",
-       "mpl.figure.prototype.handle_save = function(fig, msg) {\n",
-       "    fig.ondownload(fig, null);\n",
-       "}\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('matplotlib', mpl.mpl_figure_comm);\n",
-       "}\n"
-      ],
+      "image/png": "iVBORw0KGgoAAAANSUhEUgAAAhkAAACbCAYAAADP/YlxAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\n/CWquQAAAABJRU5ErkJggg==\n",
       "text/plain": [
-       "<IPython.core.display.Javascript object>"
-      ]
-     },
-     "metadata": {},
-     "output_type": "display_data"
-    },
-    {
-     "data": {
-      "text/html": [
-       "<img src=\"data:image/png;base64,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\">"
-      ],
-      "text/plain": [
-       "<IPython.core.display.HTML object>"
+       "<matplotlib.figure.Figure at 0x1cf136d5358>"
       ]
      },
      "metadata": {},
@@ -12849,8 +2892,7 @@
     "prior = predict(posterior, 1, kernel)\n",
     "likelihood = lh_hallway(hallway, z=0, z_prob=.75)\n",
     "posterior = update(likelihood, prior)\n",
-    "with interactive_plot():\n",
-    "    bp.plot_prior_vs_posterior(prior, posterior, ylim=(0,.5))"
+    "bp.plot_prior_vs_posterior(prior, posterior, ylim=(0,.5))"
    ]
   },
   {
@@ -13685,10 +3727,19 @@
      },
      "metadata": {},
      "output_type": "display_data"
+    },
+    {
+     "name": "stdout",
+     "output_type": "stream",
+     "text": [
+      "Final posterior: [ 2.34e-19  2.92e-20  0.0089  0.144  0.605  0.215  0.0264  0.0011\n",
+      "  6.75e-20  3.09e-12]\n"
+     ]
     }
    ],
    "source": [
-    "def discrete_bayes_sim(pos, kernel, zs, z_prob_correct, sleep=0.4):\n",
+    "def discrete_bayes_sim(pos, kernel, zs, z_prob_correct, sleep=0.25):\n",
+    "    %matplotlib notebook\n",
     "    N = len(hallway)\n",
     "    fig = plt.figure()\n",
     "    for i, z in enumerate(zs):\n",
@@ -13709,7 +3760,10 @@
     "        fig.canvas.draw()\n",
     "        time.sleep(sleep)\n",
     "    plt.show()\n",
-    "        \n",
+    "    %matplotlib inline\n",
+    "    set_figsize(y=2)\n",
+    "    print('Final posterior:', pos)\n",
+    "     \n",
     "# change these numbers to alter the simulation\n",
     "kernel = (.1, .8, .1)\n",
     "z_prob = 1.0\n",
@@ -13719,7 +3773,7 @@
     "measurements = [hallway[i % len(hallway)] for i in range(25)]\n",
     "pos = np.array([.1]*10)\n",
     "\n",
-    "discrete_bayes_sim(pos, kernel, measurements, z_prob, sleep=.4)"
+    "discrete_bayes_sim(pos, kernel, measurements, z_prob)"
    ]
   },
   {
@@ -14515,6 +4569,14 @@
      },
      "metadata": {},
      "output_type": "display_data"
+    },
+    {
+     "name": "stdout",
+     "output_type": "stream",
+     "text": [
+      "Final posterior: [ 0.0372  0.0648  0.055  0.0765  0.267  0.0372  0.0648  0.055  0.0765\n",
+      "  0.267]\n"
+     ]
     }
    ],
    "source": [
@@ -14523,7 +4585,7 @@
     "prior = np.array([.1] * 10)\n",
     "measurements = [1, 0, 1, 0, 0]\n",
     "z_prob = 0.75\n",
-    "discrete_bayes_sim(prior, kernel, measurements, z_prob, sleep=.35)"
+    "discrete_bayes_sim(prior, kernel, measurements, z_prob)"
    ]
   },
   {
@@ -15315,11 +5377,19 @@
      },
      "metadata": {},
      "output_type": "display_data"
+    },
+    {
+     "name": "stdout",
+     "output_type": "stream",
+     "text": [
+      "Final posterior: [ 0.121  0.102  0.0329  0.0938  0.151  0.121  0.102  0.0329  0.0938\n",
+      "  0.151]\n"
+     ]
     }
    ],
    "source": [
     "measurements = [1, 0, 1, 0, 0, 0]\n",
-    "discrete_bayes_sim(prior, kernel, measurements, z_prob, sleep=.25)"
+    "discrete_bayes_sim(prior, kernel, measurements, z_prob)"
    ]
   },
   {
@@ -15338,775 +5408,9 @@
    "outputs": [
     {
      "data": {
-      "application/javascript": [
-       "/* Put everything inside the global mpl namespace */\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('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",
-       "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 = $('<div/>');\n",
-       "    this._root_extra_style(this.root)\n",
-       "    this.root.attr('style', 'display: inline-block');\n",
-       "\n",
-       "    $(parent_element).append(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",
-       "            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",
-       "        this.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 = $(\n",
-       "        '<div class=\"ui-dialog-titlebar ui-widget-header ui-corner-all ' +\n",
-       "        'ui-helper-clearfix\"/>');\n",
-       "    var titletext = $(\n",
-       "        '<div class=\"ui-dialog-title\" style=\"width: 100%; ' +\n",
-       "        'text-align: center; padding: 3px;\"/>');\n",
-       "    titlebar.append(titletext)\n",
-       "    this.root.append(titlebar);\n",
-       "    this.header = titletext[0];\n",
-       "}\n",
-       "\n",
-       "\n",
-       "\n",
-       "mpl.figure.prototype._canvas_extra_style = function(canvas_div) {\n",
-       "\n",
-       "}\n",
-       "\n",
-       "\n",
-       "mpl.figure.prototype._root_extra_style = function(canvas_div) {\n",
-       "\n",
-       "}\n",
-       "\n",
-       "mpl.figure.prototype._init_canvas = function() {\n",
-       "    var fig = this;\n",
-       "\n",
-       "    var canvas_div = $('<div/>');\n",
-       "\n",
-       "    canvas_div.attr('style', 'position: relative; clear: both; outline: 0');\n",
-       "\n",
-       "    function canvas_keyboard_event(event) {\n",
-       "        return fig.key_event(event, event['data']);\n",
-       "    }\n",
-       "\n",
-       "    canvas_div.keydown('key_press', canvas_keyboard_event);\n",
-       "    canvas_div.keyup('key_release', canvas_keyboard_event);\n",
-       "    this.canvas_div = canvas_div\n",
-       "    this._canvas_extra_style(canvas_div)\n",
-       "    this.root.append(canvas_div);\n",
-       "\n",
-       "    var canvas = $('<canvas/>');\n",
-       "    canvas.addClass('mpl-canvas');\n",
-       "    canvas.attr('style', \"left: 0; top: 0; z-index: 0; outline: 0\")\n",
-       "\n",
-       "    this.canvas = canvas[0];\n",
-       "    this.context = canvas[0].getContext(\"2d\");\n",
-       "\n",
-       "    var rubberband = $('<canvas/>');\n",
-       "    rubberband.attr('style', \"position: absolute; left: 0; top: 0; z-index: 1;\")\n",
-       "\n",
-       "    var pass_mouse_events = true;\n",
-       "\n",
-       "    canvas_div.resizable({\n",
-       "        start: function(event, ui) {\n",
-       "            pass_mouse_events = false;\n",
-       "        },\n",
-       "        resize: function(event, ui) {\n",
-       "            fig.request_resize(ui.size.width, ui.size.height);\n",
-       "        },\n",
-       "        stop: function(event, ui) {\n",
-       "            pass_mouse_events = true;\n",
-       "            fig.request_resize(ui.size.width, ui.size.height);\n",
-       "        },\n",
-       "    });\n",
-       "\n",
-       "    function mouse_event_fn(event) {\n",
-       "        if (pass_mouse_events)\n",
-       "            return fig.mouse_event(event, event['data']);\n",
-       "    }\n",
-       "\n",
-       "    rubberband.mousedown('button_press', mouse_event_fn);\n",
-       "    rubberband.mouseup('button_release', mouse_event_fn);\n",
-       "    // Throttle sequential mouse events to 1 every 20ms.\n",
-       "    rubberband.mousemove('motion_notify', mouse_event_fn);\n",
-       "\n",
-       "    rubberband.mouseenter('figure_enter', mouse_event_fn);\n",
-       "    rubberband.mouseleave('figure_leave', mouse_event_fn);\n",
-       "\n",
-       "    canvas_div.on(\"wheel\", function (event) {\n",
-       "        event = event.originalEvent;\n",
-       "        event['data'] = 'scroll'\n",
-       "        if (event.deltaY < 0) {\n",
-       "            event.step = 1;\n",
-       "        } else {\n",
-       "            event.step = -1;\n",
-       "        }\n",
-       "        mouse_event_fn(event);\n",
-       "    });\n",
-       "\n",
-       "    canvas_div.append(canvas);\n",
-       "    canvas_div.append(rubberband);\n",
-       "\n",
-       "    this.rubberband = rubberband;\n",
-       "    this.rubberband_canvas = rubberband[0];\n",
-       "    this.rubberband_context = rubberband[0].getContext(\"2d\");\n",
-       "    this.rubberband_context.strokeStyle = \"#000000\";\n",
-       "\n",
-       "    this._resize_canvas = function(width, height) {\n",
-       "        // Keep the size of the canvas, canvas container, and rubber band\n",
-       "        // canvas in synch.\n",
-       "        canvas_div.css('width', width)\n",
-       "        canvas_div.css('height', height)\n",
-       "\n",
-       "        canvas.attr('width', width);\n",
-       "        canvas.attr('height', height);\n",
-       "\n",
-       "        rubberband.attr('width', width);\n",
-       "        rubberband.attr('height', height);\n",
-       "    }\n",
-       "\n",
-       "    // Set the figure to an initial 600x600px, this will subsequently be updated\n",
-       "    // upon first draw.\n",
-       "    this._resize_canvas(600, 600);\n",
-       "\n",
-       "    // Disable right mouse context menu.\n",
-       "    $(this.rubberband_canvas).bind(\"contextmenu\",function(e){\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 nav_element = $('<div/>')\n",
-       "    nav_element.attr('style', 'width: 100%');\n",
-       "    this.root.append(nav_element);\n",
-       "\n",
-       "    // Define a callback function for later on.\n",
-       "    function toolbar_event(event) {\n",
-       "        return fig.toolbar_button_onclick(event['data']);\n",
-       "    }\n",
-       "    function toolbar_mouse_event(event) {\n",
-       "        return fig.toolbar_button_onmouseover(event['data']);\n",
-       "    }\n",
-       "\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",
-       "            // put a spacer in here.\n",
-       "            continue;\n",
-       "        }\n",
-       "        var button = $('<button/>');\n",
-       "        button.addClass('ui-button ui-widget ui-state-default ui-corner-all ' +\n",
-       "                        'ui-button-icon-only');\n",
-       "        button.attr('role', 'button');\n",
-       "        button.attr('aria-disabled', 'false');\n",
-       "        button.click(method_name, toolbar_event);\n",
-       "        button.mouseover(tooltip, toolbar_mouse_event);\n",
-       "\n",
-       "        var icon_img = $('<span/>');\n",
-       "        icon_img.addClass('ui-button-icon-primary ui-icon');\n",
-       "        icon_img.addClass(image);\n",
-       "        icon_img.addClass('ui-corner-all');\n",
-       "\n",
-       "        var tooltip_span = $('<span/>');\n",
-       "        tooltip_span.addClass('ui-button-text');\n",
-       "        tooltip_span.html(tooltip);\n",
-       "\n",
-       "        button.append(icon_img);\n",
-       "        button.append(tooltip_span);\n",
-       "\n",
-       "        nav_element.append(button);\n",
-       "    }\n",
-       "\n",
-       "    var fmt_picker_span = $('<span/>');\n",
-       "\n",
-       "    var fmt_picker = $('<select/>');\n",
-       "    fmt_picker.addClass('mpl-toolbar-option ui-widget ui-widget-content');\n",
-       "    fmt_picker_span.append(fmt_picker);\n",
-       "    nav_element.append(fmt_picker_span);\n",
-       "    this.format_dropdown = fmt_picker[0];\n",
-       "\n",
-       "    for (var ind in mpl.extensions) {\n",
-       "        var fmt = mpl.extensions[ind];\n",
-       "        var option = $(\n",
-       "            '<option/>', {selected: fmt === mpl.default_extension}).html(fmt);\n",
-       "        fmt_picker.append(option)\n",
-       "    }\n",
-       "\n",
-       "    // Add hover states to the ui-buttons\n",
-       "    $( \".ui-button\" ).hover(\n",
-       "        function() { $(this).addClass(\"ui-state-hover\");},\n",
-       "        function() { $(this).removeClass(\"ui-state-hover\");}\n",
-       "    );\n",
-       "\n",
-       "    var status_bar = $('<span class=\"mpl-message\"/>');\n",
-       "    nav_element.append(status_bar);\n",
-       "    this.message = status_bar[0];\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",
-       "\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",
-       "\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]);\n",
-       "        fig.send_message(\"refresh\", {});\n",
-       "    };\n",
-       "}\n",
-       "\n",
-       "mpl.figure.prototype.handle_rubberband = function(fig, msg) {\n",
-       "    var x0 = msg['x0'];\n",
-       "    var y0 = fig.canvas.height - msg['y0'];\n",
-       "    var x1 = msg['x1'];\n",
-       "    var y1 = fig.canvas.height - msg['y1'];\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, 0, fig.canvas.width, fig.canvas.height);\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",
-       "    {\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.updated_canvas_event = function() {\n",
-       "    // Called whenever the canvas gets updated.\n",
-       "    this.send_message(\"ack\", {});\n",
-       "}\n",
-       "\n",
-       "// A function to construct a web socket function for onmessage handling.\n",
-       "// Called in the figure constructor.\n",
-       "mpl.figure.prototype._make_on_message_function = function(fig) {\n",
-       "    return function socket_on_message(evt) {\n",
-       "        if (evt.data instanceof Blob) {\n",
-       "            /* FIXME: We get \"Resource interpreted as Image but\n",
-       "             * transferred with MIME type text/plain:\" errors on\n",
-       "             * Chrome.  But how to set the MIME type?  It doesn't seem\n",
-       "             * to be part of the websocket stream */\n",
-       "            evt.data.type = \"image/png\";\n",
-       "\n",
-       "            /* Free the memory for the previous frames */\n",
-       "            if (fig.imageObj.src) {\n",
-       "                (window.URL || window.webkitURL).revokeObjectURL(\n",
-       "                    fig.imageObj.src);\n",
-       "            }\n",
-       "\n",
-       "            fig.imageObj.src = (window.URL || window.webkitURL).createObjectURL(\n",
-       "                evt.data);\n",
-       "            fig.updated_canvas_event();\n",
-       "            fig.waiting = false;\n",
-       "            return;\n",
-       "        }\n",
-       "        else if (typeof evt.data === 'string' && evt.data.slice(0, 21) == \"data:image/png;base64\") {\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(\"No handler for the '\" + msg_type + \"' message type: \", msg);\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(\"Exception inside the 'handler_\" + msg_type + \"' callback:\", e, e.stack, msg);\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",
-       "    if (e.target)\n",
-       "        targ = e.target;\n",
-       "    else if (e.srcElement)\n",
-       "        targ = e.srcElement;\n",
-       "    if (targ.nodeType == 3) // defeat Safari bug\n",
-       "        targ = targ.parentNode;\n",
-       "\n",
-       "    // jQuery normalizes the pageX and pageY\n",
-       "    // pageX,Y are the mouse positions relative to the document\n",
-       "    // offset() returns the position of the element relative to the document\n",
-       "    var x = e.pageX - $(targ).offset().left;\n",
-       "    var y = e.pageY - $(targ).offset().top;\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",
-       "    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",
-       "    {\n",
-       "        this.canvas.focus();\n",
-       "        this.canvas_div.focus();\n",
-       "    }\n",
-       "\n",
-       "    var x = canvas_pos.x;\n",
-       "    var y = canvas_pos.y;\n",
-       "\n",
-       "    this.send_message(name, {x: x, y: y, button: event.button,\n",
-       "                             step: event.step,\n",
-       "                             guiEvent: simpleKeys(event)});\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",
-       "\n",
-       "    // Prevent repeat events\n",
-       "    if (name == 'key_press')\n",
-       "    {\n",
-       "        if (event.which === this._key)\n",
-       "            return;\n",
-       "        else\n",
-       "            this._key = event.which;\n",
-       "    }\n",
-       "    if (name == 'key_release')\n",
-       "        this._key = null;\n",
-       "\n",
-       "    var value = '';\n",
-       "    if (event.ctrlKey && event.which != 17)\n",
-       "        value += \"ctrl+\";\n",
-       "    if (event.altKey && event.which != 18)\n",
-       "        value += \"alt+\";\n",
-       "    if (event.shiftKey && event.which != 16)\n",
-       "        value += \"shift+\";\n",
-       "\n",
-       "    value += 'k';\n",
-       "    value += event.which.toString();\n",
-       "\n",
-       "    this._key_event_extra(event, name);\n",
-       "\n",
-       "    this.send_message(name, {key: value,\n",
-       "                             guiEvent: simpleKeys(event)});\n",
-       "    return false;\n",
-       "}\n",
-       "\n",
-       "mpl.figure.prototype.toolbar_button_onclick = function(name) {\n",
-       "    if (name == 'download') {\n",
-       "        this.handle_save(this, null);\n",
-       "    } else {\n",
-       "        this.send_message(\"toolbar_button\", {name: name});\n",
-       "    }\n",
-       "};\n",
-       "\n",
-       "mpl.figure.prototype.toolbar_button_onmouseover = function(tooltip) {\n",
-       "    this.message.textContent = tooltip;\n",
-       "};\n",
-       "mpl.toolbar_items = [[\"Home\", \"Reset original view\", \"fa fa-home icon-home\", \"home\"], [\"Back\", \"Back to  previous view\", \"fa fa-arrow-left icon-arrow-left\", \"back\"], [\"Forward\", \"Forward to next view\", \"fa fa-arrow-right icon-arrow-right\", \"forward\"], [\"\", \"\", \"\", \"\"], [\"Pan\", \"Pan axes with left mouse, zoom with right\", \"fa fa-arrows icon-move\", \"pan\"], [\"Zoom\", \"Zoom to rectangle\", \"fa fa-square-o icon-check-empty\", \"zoom\"], [\"\", \"\", \"\", \"\"], [\"Download\", \"Download plot\", \"fa fa-floppy-o icon-save\", \"download\"]];\n",
-       "\n",
-       "mpl.extensions = [\"eps\", \"jpeg\", \"pdf\", \"png\", \"ps\", \"raw\", \"svg\", \"tif\"];\n",
-       "\n",
-       "mpl.default_extension = \"png\";var comm_websocket_adapter = function(comm) {\n",
-       "    // Create a \"websocket\"-like object which calls the given IPython comm\n",
-       "    // object with the appropriate methods. Currently this is a non binary\n",
-       "    // socket, so there is still some room for performance tuning.\n",
-       "    var ws = {};\n",
-       "\n",
-       "    ws.close = function() {\n",
-       "        comm.close()\n",
-       "    };\n",
-       "    ws.send = function(m) {\n",
-       "        //console.log('sending', m);\n",
-       "        comm.send(m);\n",
-       "    };\n",
-       "    // Register the callback with on_msg.\n",
-       "    comm.on_msg(function(msg) {\n",
-       "        //console.log('receiving', msg['content']['data'], msg);\n",
-       "        // Pass the mpl event to the overriden (by mpl) onmessage function.\n",
-       "        ws.onmessage(msg['content']['data'])\n",
-       "    });\n",
-       "    return ws;\n",
-       "}\n",
-       "\n",
-       "mpl.mpl_figure_comm = function(comm, msg) {\n",
-       "    // This is the function which gets called when the mpl process\n",
-       "    // starts-up an IPython Comm through the \"matplotlib\" channel.\n",
-       "\n",
-       "    var id = msg.content.data.id;\n",
-       "    // Get hold of the div created by the display call when the Comm\n",
-       "    // socket was opened in Python.\n",
-       "    var element = $(\"#\" + id);\n",
-       "    var ws_proxy = comm_websocket_adapter(comm)\n",
-       "\n",
-       "    function ondownload(figure, format) {\n",
-       "        window.open(figure.imageObj.src);\n",
-       "    }\n",
-       "\n",
-       "    var fig = new mpl.figure(id, ws_proxy,\n",
-       "                           ondownload,\n",
-       "                           element.get(0));\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.get(0);\n",
-       "    fig.cell_info = mpl.find_output_cell(\"<div id='\" + id + \"'></div>\");\n",
-       "    if (!fig.cell_info) {\n",
-       "        console.error(\"Failed to find cell for figure\", id, fig);\n",
-       "        return;\n",
-       "    }\n",
-       "\n",
-       "    var output_index = fig.cell_info[2]\n",
-       "    var cell = fig.cell_info[0];\n",
-       "\n",
-       "};\n",
-       "\n",
-       "mpl.figure.prototype.handle_close = function(fig, msg) {\n",
-       "    fig.root.unbind('remove')\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).html('<img src=\"' + dataURL + '\">');\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 dataURL = this.canvas.toDataURL();\n",
-       "    this.cell_info[1]['text/html'] = '<img src=\"' + dataURL + '\">';\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 () { fig.push_to_output() }, 1000);\n",
-       "}\n",
-       "\n",
-       "mpl.figure.prototype._init_toolbar = function() {\n",
-       "    var fig = this;\n",
-       "\n",
-       "    var nav_element = $('<div/>')\n",
-       "    nav_element.attr('style', 'width: 100%');\n",
-       "    this.root.append(nav_element);\n",
-       "\n",
-       "    // Define a callback function for later on.\n",
-       "    function toolbar_event(event) {\n",
-       "        return fig.toolbar_button_onclick(event['data']);\n",
-       "    }\n",
-       "    function toolbar_mouse_event(event) {\n",
-       "        return fig.toolbar_button_onmouseover(event['data']);\n",
-       "    }\n",
-       "\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) { continue; };\n",
-       "\n",
-       "        var button = $('<button class=\"btn btn-default\" href=\"#\" title=\"' + name + '\"><i class=\"fa ' + image + ' fa-lg\"></i></button>');\n",
-       "        button.click(method_name, toolbar_event);\n",
-       "        button.mouseover(tooltip, toolbar_mouse_event);\n",
-       "        nav_element.append(button);\n",
-       "    }\n",
-       "\n",
-       "    // Add the status bar.\n",
-       "    var status_bar = $('<span class=\"mpl-message\" style=\"text-align:right; float: right;\"/>');\n",
-       "    nav_element.append(status_bar);\n",
-       "    this.message = status_bar[0];\n",
-       "\n",
-       "    // Add the close button to the window.\n",
-       "    var buttongrp = $('<div class=\"btn-group inline pull-right\"></div>');\n",
-       "    var button = $('<button class=\"btn btn-mini btn-primary\" href=\"#\" title=\"Stop Interaction\"><i class=\"fa fa-power-off icon-remove icon-large\"></i></button>');\n",
-       "    button.click(function (evt) { fig.handle_close(fig, {}); } );\n",
-       "    button.mouseover('Stop Interaction', toolbar_mouse_event);\n",
-       "    buttongrp.append(button);\n",
-       "    var titlebar = this.root.find($('.ui-dialog-titlebar'));\n",
-       "    titlebar.prepend(buttongrp);\n",
-       "}\n",
-       "\n",
-       "mpl.figure.prototype._root_extra_style = function(el){\n",
-       "    var fig = this\n",
-       "    el.on(\"remove\", function(){\n",
-       "\tfig.close_ws(fig, {});\n",
-       "    });\n",
-       "}\n",
-       "\n",
-       "mpl.figure.prototype._canvas_extra_style = function(el){\n",
-       "    // this is important to make the div 'focusable\n",
-       "    el.attr('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",
-       "    }\n",
-       "    else {\n",
-       "        // location in version 2\n",
-       "        IPython.keyboard_manager.register_events(el);\n",
-       "    }\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",
-       "    // Check for shift+enter\n",
-       "    if (event.shiftKey && event.which == 13) {\n",
-       "        this.canvas_div.blur();\n",
-       "        event.shiftKey = false;\n",
-       "        // Send a \"J\" for go to next cell\n",
-       "        event.which = 74;\n",
-       "        event.keyCode = 74;\n",
-       "        manager.command_mode();\n",
-       "        manager.handle_keydown(event);\n",
-       "    }\n",
-       "}\n",
-       "\n",
-       "mpl.figure.prototype.handle_save = function(fig, msg) {\n",
-       "    fig.ondownload(fig, null);\n",
-       "}\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('matplotlib', mpl.mpl_figure_comm);\n",
-       "}\n"
-      ],
+      "image/png": "iVBORw0KGgoAAAANSUhEUgAAAoAAAAGECAYAAACmtJGoAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\n",
       "text/plain": [
-       "<IPython.core.display.Javascript object>"
-      ]
-     },
-     "metadata": {},
-     "output_type": "display_data"
-    },
-    {
-     "data": {
-      "text/html": [
-       "<img src=\"data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAtAAAAG4CAYAAABsGNA2AAAgAElEQVR4Xuy9D7QcVZUuvk/d7ptcA7liQB55ZtBL6px7c3Ehf94wPBlIRGcA/ywxw29cIINOEPU3M6A4MfBbPgIyb5wVGd/M8snwJvJQycyoI0+CsIjCczH8cVY0rjcxtulzOkRUCMokE/AOPOV29/6tQ7rMTeferq6qU11dVV+v5cKbPl279rf3/s5Xu0+fIwgvIAAEgAAQAAJAAAgAASAABPpGQPQ9EgOBABAAAkAACAABIAAEgAAQIAhoJAEQAAJAAAgAASAABIAAEIiAAAR0BLAwFAgAASAABIAAEAACQAAIQEAjB4AAEAACQAAIAAEgAASAQAQEIKAjgIWhQAAIAAEgAASAABAAAkAAAho5AASAABAAAkAACAABIAAEIiAAAR0BLAwFAkAACAABIAAEgAAQAAIQ0MgBIAAEgAAQAAJAAAgAASAQAQEI6AhgYSgQAAJAAAgAASAABIAAEICARg4AASAABIAAEAACQAAIAIEICEBARwALQ4EAEAACQAAIAAEgAASAAAQ0cgAIAAEgAASAABAAAkAACERAAAI6AlgYCgSAABAAAkAACAABIAAEIKCRA6VCYGpq6iTP8w7UarWXSuU4nAUCQAAIDAEC4OAhCAJuwQkCENBOYMRF8oDAKaec8uqRkZEnqtXqybVa7d/SuGcp5QQRfbdarfpp2UjjvnFNIAAEgEDaCKTJwb7vr/I876+Y+SwhxIvM/I9Lly792I4dO2bT9gvXLycCENDljHspvZ6cnHwtMz9RqVROSEPc+r7/Fs/z7iSik9KyUcrAwWkgAAQKgUCKHDwipXyCiDYbY/5iamrq1e12+x5m/pYx5oZCgAcnhg4BCOihCwluKCkCSqk/Y+b3CSGqRLSbmdcbY76jlHqOiI5l5heI6G3GmMeUUh8joquYeZyIHiOiPzbGPL1q1aqTm83mHiHEBma+QQjRZua/McbcNN/9SSk/QETXCSE2EdHfQkAnjSI+DwSAQF4RGDQHT0xM/Ea1Wv0brfXbiIgtblLKPyaidxtjzs0rjrjv4UYAAnq444O7i4iAUupNzHyXEOI0rfV+KeVNQogLtda/ZUVxq9XaOzo6evyuXbsOKqWuI6J1VkxXKpWnZ2dnP0FEbzbGnNUZ+yNmvndsbOzyX/7ylyuI6CFmvtkYs7n7tuxXk0888cSzgQ0I6IiBw3AgAAQKgUBWHNwNnlLqQSKqa63/pBDAwomhQwACeuhCghtKgoBS6o1E9CAz/9eRkZGtu3fvrgUdiW5xq5T6Ybvd/rNGo/H31ubq1asr+/bt+zfP89Z4nre/1Wr9SAgxUa/Xn7TvK6WuZ+bfNcasWegeIaCTRA+fBQJAIO8IZM3BRCSklJ8lootbrdZv2sZG3jHF/Q8nAhDQwxkX3FUCBJRS7ySiPyIiK6b/lYg+obW+Yx4BbZdyNJm5Zc0JIQQzV5j5vdVqdYddwmGMsctAXn5NTk5e3m63P26MmYKAThAgfBQIAIFCI5AVB7/2ta995aJFi/6OmX+DmS9qNBpPFRpoOJcpAhDQmcIP464R8H3/NUR0QqPR+D++7y/yPO9SIvriyMjI66wt21UeHR1dZpdwSCm1EOLDWusHgvtQSk1WKpW9zHySXe5RqVT+Y61W+5l9X0r5cSHEeVrr34GAdh05XA8IAIEiIJAVByulXsfM24QQtZmZmffs27fvxSLgCR+GFwEI6OGNDe4sBgJSyncR0X+3yzDq9bpWSl1ERHdXKhUrrEebzebTRLRSa/0juySDiC6ZnZ29dO/evU8ppT5ERJsqlcopzLzIim0rvl988cUPHXPMMae0Wq1vMvOfBks+5ru9YO10pVI5Po2dPmJAgo8AASAABAaGQBYcfNpppy355S9/+S9E9C2ttf1BN15AIHUEIKBThxgGBo1Ap1P8AWZ+JRHZ9cvXG2Pu73SR7yGiC4QQV2it75VS2h02/pCIlhGRbrfbH2s0Gv8UCGEiupWZL7erO+z/11r/VS9/sAZ60NGGPSAABIYNgUFzsJTy/UKI25k56Dpbvrar8mr2B+TDhg/upxgIJBbQSin7FflGZq4KIbZorW+ZDxrf90/3PO+ftdaL7fudH2zdLoQ4h5nbdjcEu9VYMWCFF3lHAEI47xEsz/2Dg8sT6zJ5Cg4uU7Tz6WsiAT0xMXFipVLZXq1Wz6jVas8rpba12+1NjUbDbh/z69eKFSvGxsbGHrRiWWs9Yt+YnJy8tt1uv94Yc5WU0v4o657Oj7OsmMYLCGSKAJZiZAo/jPeJADi4T6AwLHcIgINzF7LS3XAiAa2Ueg8zrzHG2L107TZfVzDz+VYUz0VSSnmb3UNXCPGPgYCWUj5ERHZP3UftWPu3EOImrbU9zAIvIJApAuh+ZAo/jPeJADi4T6AwLHcIgINzF7LS3XBSAW1PaVtijLmxI6Av6Jz6dmGApO/7b/c87xKt9R8qpdpaa68jmHcT0VuNMXs7f99FRPcbY75UuijAYSAABIBADASUUuDgGLjhI0AACACBpAgkEtD2B1hENNYloD9qjLnY3pj9erFard5bqVQuqNVq/94loDURXTRXQAshvq61/kpSp/B5IAAEgEAZEAAHlyHK8BEIAIFhRCCRgO5esmG/TiQiu0/u1Z2OtF3aYbcKm7G/iCWi04joX2ZnZ9dUKpX/JYS4UWv9eKcD/ZDneTfW6/Vv9wKq2WzxyMjLTWy8gAAQAAK5R8BuFRDXCXBwXOTwOSAABIDAIQTicnBs4rZGp6am7GETjzPz2ePj48/NzMzcR0S3aa23zheYuR1opdR1zLzKrpe2h1cw8wNLly6VO3bsmO0V1Gef/QX3O93YccuWHUsHDswQ201tBviCbWA+qHQrY64VyecTTlgam4fBwQtXWZFyJAqXwO/Bzj3Ae7B4HxK8brVdXA6OTdxBQfu+v1YIsdEeUtHZSeN6KeVmZt7aaDSsoP71SynVCn5EOD09PTo7O/vZYBs7z/OuqdfrD4cRhRXQYWOC9y3Ixx9/LO3fn02AYbvfSLkZh3iXJ8+LFOtXvzq+gLaVAw6enz+KlCNRGBJ+D5YHgfdg8Q4EtEt9FZeDEwvoKIXtYiwEdDiKKOj8F3R4lA+PKGO8i+RzXPKOkiMux4KDw9EsUn6GewsucinmgHc4Aq7rKy4HQ0CHxyrWCNcBjnITsA0BHSVfkozNKteysjtM3Y8kcUvyWQjocPSKlJ/h3kJAQ0BHyZLkY13XFwT0PDFxDXKUsMM2RGyUfEkytoy5ViSf45J3kpxJ8lkI6HD0ipSf4d5CQENAR8mS5GNd11dcDkYHOnks572C6wBHuU3YhniPki9JxmaVa1nZRQeaCAI6vGKKlJ/h3kJAQ0BHyZLkY13XV2YCWil1KRFtZOaqEGKL1vqWufAopd5ERLcysz3C+0fNZvPKvXv3Pt853vtZIUQjGK+1PpOIev5IEOQdnnyukyvcYrkJNA1RBcx7I1CkHI9L3gFC4OD5c6VIOQI+CEcgq3hnZRfzjrsNIuJycKIOtD0opVKpbK9Wq2fUarXnlVLb2u32pkaj8WAn3T2l1JOe57159+7dRkr5SSGE3Ynj40qpc5nZHrpySXhpHB4BAR2OFgoaHejwLHEzIqtcy8puGpNWXPK29wIOXjiPi5QjUaoVfg+W/4H3YPEeJg5OJKDtwSnMvMYYYw9Moe5N/TtFbzvPrc62dZ8jop3GmL9USn2EmS+zgpqZm0KIDcGhKr3IAgI6nEpR0Pkv6PAol7vrX6QcTyKgwcEQ0N0IFKk28sCDwDv/821cDk4qoDcw85Kuo7zXG2MunJv4UsrThBDfJKJfMfM5xpinJycnr22326PGmE/5vn+6EOK+RYsWnbpr166DENBRaOPosSjo/Bd0lAwoY7yL5HNc8u40LcDBCxRLkXIEfBCOQFbxzspuGp3YcJSL2biJy8GJBLSU8gYiGusS0HZZxsXzBcL3/Q8KIa4wxryx+30p5deY+Y7uw1e6x+EkwvAUtwWNExjDcXI5ApgP9qGlSHjHPQXL5i84uHcHGjzokuXCr1Wkugz39tCIMvpcNL/jcnAiAd29ZMN+nUhE52mtr7YAL1++/BVLlix5UyCK7d/HHHPMz4wxS5VS69rt9jcajcZTnU7KvZ1jwLf1Stxms8UjI16/uY1xQAAIAIGhRkAIOwXHe4GD4+GGTwEBIAAEAgTicnBs4raGp6amTmq1Wo8z89nj4+PPzczM2KO7b9Nab7Xvn3XWWdWZmZmftlqtC/bs2VOzopmILtFav00pdTsRzWit1/u+v8rzvG2LFy+e2rlz5wu9wooOdHjS44l4sN3Qoj2Nh2fY4RFZ5VpWdtOIddzuBzi4d6YWKUfyUJNp1EYe/Eae5X++jcvBiQS0TW7f99cKITYS0SgR3WOMuV5KuZmZt9rOs+/753ue92n7TQcRPVWpVK6u1Wo/m56eftXs7OydQohTiKjJzNcYYx4JKxj8iDAMoUNfKWFfynCcXI4A5oMl0SLhHXf9XZC/4OD5K7lIORKFq+A3uChKvsQdW6Q8i8vBiQV0XPDjfg4COhy5IiV2uLdHdkPx4BAFseRjs8q1rOwGXTaXeRaXvJNHL94VwMHhuBUpP8O9LTcHI9aDfWAZJg6GgI7CDhHGoqjyX1QRwo2u//7BxrtI9QUBHaXS+h9bpBzp32t8A7kfXBQlXWKPLVJ9xeVgCOjY6dP7g0VKrigQwe/BCsk0nsbzEO8i5Vlc8o4SJ5dj0YEOR7NI+RnuLTrQLr+RAt7hCLiur7gcDAEdHqtYI1wHOMpNwDZEbJR8STI2q1zLym4aDyxxyTtJ3JJ8FgI6HL0i5We4txDQENBRsiT5WNf1FZeDEwtopdSlRLSRmatCiC1a61vmwqOUehMR3crM9kTCHzWbzSv37t37/OrVqyv79u27XQhxDjO3iWidMeY7YdCCvMMQwld4g/4KLw1RFR5lTFpFmbTikneQAeDg+avF9SSLmgxHoIyYl9Hnos15cTk4kYCemJg4sVKpbK9Wq2fUarXnlVLb2u32pkaj8WCn1Dyl1JOe57159+7dRkr5SXt0t9b6452TCF9vjLlKSjnV2cHD/teK6QVfENAgsYUQAJGVp/NepFjHJW9bB+DghfmwSDkSzvrlfqDOUtAhz/I/78Tl4EQC2h6cwsxrjDF2f2fq3tS/U9K289yanp4enZ2d/ZwQ4l+01p+WUj5ERDcbYx614+zfQoibtNaPQUBHocujx6Kg81/QUTKgjPEuks9xybvDueDgBYqlSDkCPghHIKt4Z2U3y4eGotmOy8FJBfQGZl7SdZT3emPMhXPTXUp5mhDim0T0K2Y+xxjztJRyNxG91RiztyOg7yKi+40xX4KADieLXiNQ0BDQyTKo/09nlWtZ2U1j4ohL3h0BDQ6GgD4CgSLVRv9MlN3SReCd//k2LgcnEtBSyhuIaKxLQH/UGHPxfInv+/4HhRBXGGPeKKXURHTRXAEthPi61vorYQLaJmw/Lztu2bJj6cCBbAIM2/1Eyd0YxLs8eV6kWMc9BavTeAAH9xDQ4GB3/NrPlYpUl/34GzxQI8/6RcvNONd5FpeD+5Si8zvdvWTDLukgovO01lfbTyxfvvwVS5YseZM9kTD4+5hjjvmZMWaplPJ/CyFu1Fo/3pkIHvI878Z6vf7tXhA3my0eGfHcRAFXAQJAAAhkjIAQ/bYEjr5RcHDGwYN5IAAEco9AXA5OJKCnpqZOarVajzPz2ePj48/NzMxYoXyb1nqrRfSss86qzszM/LTVal2wZ8+emlLKrpW+RGv9NqXUdcy8yv6IUCk1ycwPLF26VO7YsWMWHehk+ej66SzK3cB2ebrAWXZfipRncbsfFn9w8MLsVKQcAQeHI5BVvLOymyX/Fs12XA5OJKAtiL7vrxVCbCSi0c5OGtdLKTcz81bbefZ9/3zP8z5NRNbWU5VK5eparfazzo8KPxtsY+d53jX1ev3hsDLBLhxhCGW3FiwoqqJsLxaO9OERWAc32AeHIuEdd/1dkH3g4PkrtUg5Ai4KRyCreGdlF/PtseRqy9q4HJxYQIentdsRENDheKKgByvmQGTuiCw8uw+NKFKOxyXvfrFyPQ4cHI5okfIz3NtyNxIQ6/zPt3E5GAI6CjtEGIuiyn9RRQh3oQRdHvwuUn3FJe8ocXI5FgI6HM0i5We4txDQ+NY1SpYkH+u6vuJyMAR08ljOewXXAY5ym7AN8R4lX5KMzSrXsrKbRvc7LnkniVuSz0JAh6NXpPwM9xYCGgI6SpYkH+u6vuJyMAR08lhCQM9BwHViRwkPbJfnwaFIsY5L3lFqw+VYCOhwNIuUn+HeQkBDQEfJkuRjXddXXA5OLKCVUpcS0UZmrgohtmitb5kLz8qVK8/wPO8zQohXMPOLQogPaa2/v2LFirGxsbFnhRCNYLzW+kwi4l7wgrzDk891coVbLDeBptGVBOa9EShSjscl7wAhcPD8uVKkHAEfhCOQVbyzsot5x91vb+JycCIBPTExcWKlUtlerVbPqNVqzyultrXb7U2NRuPBOeT+AyL6gN3vWUr5ZiHErVrrNyilzmVme+jKJeGlcXgEBHQ4Wijo8nRiy0qiRcrxuORtYw8OXpgPi5Qj4ayPJkZW8c7Kblm5Pw2/43JwIgFtD05h5jXGGLu/M3Vv6m9/LC+lvNIY83n7/tTU1LJWq2WMMcuUUh9h5suEEC1mbgohNgSHqqADHYUujx6LgoaATpZB/X86q1zLyu4wkXeHc8HBC6RrkXKk/4os1g41efAbeZb/+TYrAb2BmZd0HeW93hhz4XyJr5S6nZkr9vCUycnJa9vt9qgx5lO+758uhLhv0aJFp+7atesgBHQU2oCADhAAkeWfyPrN/CLFOi55dwQ0OBgC+ggEilQb/fJBGg+2/doG3vmfd+JycKIOtJTyBiIa6xLQdlnGxV3J5yml/tqeWOh53gX1en2mOzmllF9j5juCY78XSl67hMMmbD8vOw5n1PeDlLsxwDwbMilbnhcpz+KegmWrFhy8MHcVKUeiMDT8HiwHA+/B4h08LLmc8+JycJ9SdP7y7V6yYZd0ENF5Wuurg090Thz8sv0R4eLFi9+1c+fOFzqdk3XtdvsbjUbjqc7f93aOAd/WiyyazRaPjHhR+ARjgQAQAAJDi4AQ/bYEjnYBHDy0YcWNAQEgkBME4nJwIgE9NTV1UqvVetx2lsfHx5+bmZm5ryOCtwa4KaW+wMyLjDGXE1Frzr/fTkQzWuv1vu+v8jxv2+LFi6cCgY0OdPzMwxNx/p+Io0S/jPEuks9xux82R8DB6EB3I1Ck2sgDDwLv/M+3cTk4kYC2ye37/lohxEYiGiWie4wx10spNzPzVmauj4yMaCKy//tVpxjYblc3PT193Ozs7J1CiFOIqMnM1xhjHgkrGOzCEYYQfkSyf382BY29QMNz09WIIq07jLv+LsASHDx/VhUpR6LUDfweLP8D78HibWvBNeZxOTixgI5S2C7GQkCHo+g6ucItHh4B2/knkzzEu0h5Fpe8o8TJ5VhwcDiaRcrPcG/Lzf+Idf7nvLgcDAEdhR0ijEVR5b+oIoTb+RMxbPdGoEj1FZe8o+SIy7EQ0OFoFik/w72FgMa3j1GyJPlY1/UVl4MhoJPHct4ruA5wlNuEbYj3KPmSZGxWuZaV3WH6+jBJ3JJ8FgI6HL0i5We4txDQENBRsiT5WNf1BQE9T0xcgxwl7LANERslX5KMLWOuFcnnuOSdJGeSfBYCOhy9IuVnuLcQ0BDQUbIk+VjX9RWXgxN3oJVSlxLRRmauCiG2aK1vmQvPypUrz/A87zN2GztmflEI8SGt9fdXr15d2bdv3+1CiHOYuU1E64wx3wmDFuQdhpD7BfbhFstNoGl0JYF5bwRcE2iWeMcl7+CewcHzR69IOZJlfsJ2ebiorLGOy8GJBPTExMSJlUple7VaPaNWqz2vlNrWbrc3NRqNB+eQ+w+I6AP2mG4p5ZuFELdqrd+glPowM59qTyWUUk51dvCw/7ViesEXBHR4imPiQPc7PEvcjMgq17Kym8bDUlzytvcCDl44j4uUI1GqFX4Plv+B92DxHiYOTiSg7cEpzLzGGLPOOtW9qb/dbURKeaUx5vP2/ampqWWtVssYY5ZJKR8iopuNMY/a9+zfQoibtNaPQUBHocujx6Kg81/QUTKgjPEuks9JBDQ4GAK6G4Ei1UYeeBB453++jcvBSQX0BmZe0nWU93pjzIXzJb5S6nZmrnS6zruJ6K3GmL0dAX0XEd1vjPkSBHQU2oCADhAAkeWfyPrN/CLFOi55d5oW4OAFkqZIOdJvXaTRnYPt3gggz/I/78Tl4EQCWkp5AxGNdQnojxpjLu5KOU8p9df2xELP8y6o1+szUkp7uMpFcwW0EOLrWuuvhAlom7D9vOw4l+el92NzrpiD7SiIJR+LeGdDZFnkeZFiHfcUrE7jARzcQ0BnkZuBiIXt5Jwe5QpZcUJWdpFnx9KBA27mvLgc3KcUnT+Nu5ds2K8Tieg8rfXVwSemp6dHZ2dnv2x/RLh48eJ3BUd1d5ZsbLRrozsTwUOe591Yr9e/3atoms0Wj4x4UeoKY4EAEAACQ4uAEP22BI52IQsO3rnz+6lzsFKKKpXK0MYMN5YuAs1mk7S2PbZ0X8izdPHNy9XjcnAiAT01NXVSq9V63HaWx8fHn5uZmbmPiG7TWm8NgFNKfYGZFxljLiei1px/v46ZV9nlHEqpSWZ+YOnSpXLHjh2zvUC3PyLsd7rBk6Gbp7MoRQDMgXmUfIk7tkh5Frf7YbHLgoNfd+1tPHriyXFDF/q5l37+Y/ri751Jk5P2N+XxX0XKkSgoFMHven03/cFXv0fIs96RL0Kso+R2MNa133E5OJGAts74vr9WCLGRiEY7O2lcL6XczMxbmbk+MjJiHyPt/37VcZ611mdOT09XZ2dnPxtsY+d53jX1ev3hMDCxC0cYQtjGbv/+bEQs9gINz01XI4q07jDu+rsAy0FzsPrz+3nsNb6rUB51nf/7VIM2n3u8EwGNmkwtTPNe2FVdWgH9/sf2E/IsXEAjx5PneFwOTiygk996tCtAQIfj5YrEwi0dPQK2Id7j5E3UzxQpz+KSd1TMXI2HgA5Hskj5Ge7t4RGu/IaA7g91V3j3Z+3IUUWyHZeDIaDjZE4fnylScvXh7q+HwG8I6Cj5EndskfIsLnnHxS7p58oooO2a3D17Gn1DZ/PzuOOW0MGDLxBzfx9budJ3su67CLVRVgE9iDyz2egi14qQZ0FlxuVgCOj+uC3yqCIlVxTn4TcEdJR8iTu2SHkWl7zjYpf0c2UU0FbQXXl3emty7brvL6xNvu7bxrYItVFWAZ12ntn8cJVrRcgzCOges0GRAhxl0oPfELFR8iXJ2KxyLSu7aQgUCOgjM3AY10CnLehc+ZxGfkbhB1d1mTbe1idXmLvy2d5TWf2OkmNp5HhcDk7cgVZKXUpEG5m5KoTYorW+ZT4wpJQ3CyFaWutP2PdXrFgxNjY29qwQ4tffi9kfFxJRzy+8sAY6PNVcFnS4tSNHwDbEe9SciTO+SHkWl7wD3AbNwWXtQKf5ozZXYi4NcRGlPl3VZVmFZFn9jpJjaeR4XA5OJKAnJiZOrFQq26vV6hm1Wu15pdS2dru9qdFoPBgAMjExMV6pVD5NRL8vhNgUCGil1LnMbA9duSQKeBDQ4Wi5IrFwS0ePgG0I6Dh5E/UzRcqzuORtMcuCgyGgo2Zr+HgI6CMxKquQLKvf4RWSbqMuLgcnEtD24BRmXmOMWWfd697U3/6blPK9RHQCER0ztwOtlPoIM19m/42Zm0KIDcGhKr3AhIAOT7UiiYtwbw+PgN/lEe9FinVc8u5w7sA5GAI6Civ1NxYCGgLaIgAB3V+9uOb/uBycVEBvYOYlXUd5rzfGXNgNg1LK7hVt94B+eQmHlPIaIrIHrHzK9/3ThRD3LVq06NRdu3YdhIDuL4kWGuU6uaLcDWyXR8Sm8VVav7lWpDyLS94dAT1wDoaA7jdL+x8HAQ0BDQHdf7245v+4HJxIQEspbyCisS4BbZdlXBwmoLvfl1J+jZnvaDQa9jTDBV84iTA8yWxyLVvm7pz4cItHdoFhOwpiyceWMd5F8jnuKVidRsTAOXgQAvpzv+3mIBVXXGQ7g1c9mt7BHlZAu/A5eKh15XdUdnJVl2njbf1yhbkrnwMBnWaeDavfWeVZYDcuBycS0N1LNuySDiI6T2t9dZiAVkqta7fb32g0Gk91Oin3do4B39YLzGazxSMjXlS8MR4IAAEgMJQICGGn4HivLDh4EAL67necTNPT0/FASeFTtVqN1t7749ROxrNibth8TgHGvi+ZNt6BkBw2zMvqd9+JkdLAuBwcm7itH1NTUye1Wq3Hmfns8fHx52ZmZmz3+Dat9dY+BPTtRDSjtV7v+/4qz/O2LV68eGrnzp0v9MIIHejwDHL5RBxu7cgRsJ3NEo68d5zKnGdxux9ZcfAgBLSLbqxLLkq7I+qqG2pzwqXfWdVl2ngPaye2rH5nlWeZdqCtcd/31woh7PrmUSK6xxhzvZRyMzNvnbsco3sN9PT09KtmZ2fvFEKcQkRNZr7GGPNIGJBZ/YiwrCcEDcLvhU5FytJ2WB52v+9qTVZUn4MJM++nnkX12+Id1WeL1Xy5lqVte09x198FOThoDh6EgN58rpslHMcffyzt35/8oTbtH3dhDfSRjJo23oGALlueDavfWc23gd24HJyoAx3VaRfjsxLQZT0hKG2/e52KlKXtqLnqSkCn7bP1y9VJVIF4dyFSsvQ7S9suBHTUXE06HgI6KYJHfx4CGgLaIlDWB4eoFeVqvoWA7oG8S5DLmthp+91r4sjSdlYFnbbPLjsQrgV0mgdV9PI7a8zjdj+i5qir8RDQrpA8fB0IaAhoCOj+68qltqkasxEAACAASURBVEvSxEAHus+YZT3J9nmbLw9zmVxp+w0Bnd+Jw2WupZ1nENBRGKT3WAhod1gGV4KAzi8P5mm+ddlAcel31IpybTtuEyOxgI57jOzq1asr+/btu10IcQ4zt4lonTHmO2FAZrmEI6sOWRgm3e+7TK60hQ0EdH4nDgjo/iuzV57HJe/A+qA5GAK6/7j3OxICOr88mKf5FgJ6/oqMy8GJBHSSY2QnJyevbbfbrzfGXCWlnOr8ANH+14rpBV8Q0OGUnKeChoDO78QBAR1ei/10GOOSt712FhwMAd1/3PsdCQGdXx7M03wLAT1EAjrJUd5SyoeI6GZjzKPWJfu3EOImrfVjEND2OSL+K08FDQGd34kDArr/Gk2rA50FB0NA9x/3fkdCQOeXB/M030JAD5eATnKM7G4ieqsxZm9HQN9FRPcbY74EAQ0BbXMgy+Uj/U58wThXJJq2zy4JFAK6/yxJUUAPnIMhoPuPe78jIaAhoAcx57nkf1dzXr81Mneca9txvwVMtIQjyVHeUkpNRBfNFdBCiK9rrb8SJqD7PbfL5YbyZd3gPG2/ex0gkKXtqEXtKtfS9jkgUBcHVQQC2sUhLln6naVti2GSg1Sy4OBBCGgX+emqJgNhk+YRyzhI5WgBnSbeLnkwT3k2rH5nNd8GduNycCIBneQY2c6SjY1a68c7HeiHPM+7sV6vf7sXmFkd5V3WIzbT9rvXEbZZ2o5a0K7Gp+1zQKA4wvZwxLLGPO4xstaDLDh4EAK6bPmJo7yPZNCsa9IVn0e9Tln9joqT6/FxOTiRgE54lPd1zLzK/ohQKTXJzA8sXbpU7tixYxYd6ORLOFx0BbPuvKTdGRzGrk/aPrvsQKAD3T+N98q1uN0Paz0LDh6EgEYHuv/c6h7psiMa9S5c2c4TD7ryeRDzrUv+d+l3VnmWaQfaGk9wjOzo7OzsZ4Nt7DzPu6Zerz8cBiR24QhDCPtAhyN0aMQwrjvEGmi/3/BFHrdQvLPGPO76uwCAQXPwIAR02Y5YHkYuilxgDs8gyLomo/jucj1uWf2OgnfQuHFxAm5gNy4HJ+pAR3XaxXgI6HAU81TQ2IXjyHjmiUBdElmWfmdp22IYl7zDmSCdERDQ7nGFgM4vD+ZpvnXZOHLpd9SKcm07LgdDQPcZuawn2T5v8+VhLpMrbb8hoPM7cbjMtbTzrNfEkaVtCOijmc2VmCwKD0bhfpc1GdWuS9tZ12QU3/OUZxDQ80cWAnoeXJDYM8QchQqOHps2kUFAQ0BbBNLOMwjoZDww99PoQLvDMriSq4cGlyI2jpeu5tws+SCq3658zpoHs/Q7a9sQ0BDQv0YgTwUNAQ0BnfXEkfVkHZe8o046rsZDQLtC8vB1IKDzy4N5mm/RgR6yDrRS6lIi2sjMVSHEFq31LXNvcXJycnm73d4ihDiRmZ8RQrxba71/xYoVY2NjY88KIRrBeK31mUTUs2eKNdDh5J2ngoaAzu/E4bLblaWIzdK2xTCpgB40B0NAh3Nw1BEQ0PnlwTzNtxDQQySgJyYmTqxUKtur1eoZtVrteaXUtna7vanRaDwY3KaU8mtCiLu11lt833+f53lv0VpfppQ6l5k/aoy5JArZQECHo5WngoaAzu/EAQEdXovBiLROIsyCgyGg+497vyOHUUA3m03as+fX/a2+XLFzz3HHLaGDB1/oe/ngypU+VSqVI66f9UNtX852BuVpvh1WAR0111zlWRDnuE2MRD8iVEq9h5nXGGPW2Rvp3tR/9erVlWeeeWa/1noZEbWIaEQpdcD+rZS6hpkvE0K0mLkphNgQHKrSK3khoMNLO08FDQENAW0RyHLCzNJ20g50FhwMAR3OwVFHDKOAtnVx5d3fo9ETT47qTt/jX/r5j+kLa8+kyckjzz7Iuib7diBnP9ofVgGddq4tlGdZC+gNzLzEGHNjR0BfwMzrjTEX2r9td6RarX5Xa/0bwY0qpX5SqVR+s9Vq/X673R41xnzK9/3ThRD3LVq06NRdu3YdhIBOfpCKqz0S0yYyCGgIaAjopbEbGUqpgXMwBHQUedXf2GEV0O9/bD+NvaZ8e7P3F7VDo/LUsBpmAZ1mroXVVyYdaCnlDUQ01iWg7bKMi22g7ClZ7XZ7e5eA/mmz2TzziSeeeHZuktqlHsx8R6PRuC9MQNuE7efl8qQcnIyUDon2OqEtbcxxEmGyB7Vg8nBx6mXasQ4mjvlOuMvStr2vJCcRZsHBgxDQOImwnxlu/jGu5r0s6yJL21GRd4V30Ei46tH0H1pQX0dGOS4H9ylF50+p7iUb9utEIjpPa321/cScJRyvIqJ2ZwmHXdJxvFLqve12+xuNRuOpTvf6XiK6TWu9rVcC79z5fR4Z8aLmeKTxSqmj1mRleUa9XR+ktY7kQ5zBWfhtRezd7ziZpqenj7rltDFfyHaR8Q6E5HyYl9XvtPOsF+aHHkL6bQkcXdVZcPAgBPRCnBCH11x8Ju0c6cWDLu4/zjXS9rlXXWRpOw5Wrj4Dv9Nr1PXilLgcnEhA2w5zq9V6nJnPHh8ff25mZsZ2j60I3hoklJRyqxDiq1rru6SUVxLRO+0PB5VStxPRjNZ6ve/7qzzP27Z48eKpnTt3vtArGV937W2c9pqsL/7e/GuysnoytE/jf/DV9NeiZeH3MHagi4x3WCe2qHkW5ndWtZ20A50FBw9CQKNDFl+SueqIZtkFztJ2VORd4Y0OdHqd97BvmzPpQNuA+76/VgixkYhGiegeY8z1UsrNzLzVLsfwff81nufdSUQnEdGBdrt9ue06T09Pv2p2dvZOIcQpRNRk5muMMY+EJe8gyHvzuccP1Y8a0l6HHIiLLPwexjXQRcY7y1jD9tG8YjGJu/4u4MqycHDY3ND9fp7Wpoat0Yziuyu/y8qDUbA+9A0SUV5+c9SLg4vsd1h9xeXgRB3oqIC7GA8B7QLFo6+xUIKlTaIQ0MPz6/O0Yw0BnY6ATocRFr5qVhyc5VZXadfGQjwY1edA0OV9K7m08e7FRVExj7OlmrU/bNv3FdlvCOgOn2dF3lkWdJFtQ0BDQAdfXab5K+xhFe8uOtBlEdBZbnWVNgf3amCUcSu5tPEO44OyYl5UvyGgIaALuZ0QBDQENAR0/G3sBi2erb2iNjHAReCiMnNR1g8taTZQIKAhoCGgHauFrJathHU/0iQS2B6u3zegA43lZKjJ4arJIgvJsuba0ApopdSlRLSRmatCiC1a61vmUuLk5OTydru9RQhxIjM/I4R4t9Z6v93ibt++fbcLIc5hZrvF3TpjzHfCNFJRux9I7KP3JE6byCCg0XHKuuPkQkCDg8Nmjf7eRwcafJA1H6Q950FnzH/2QSY/IrQnDVYqle3VavWMWq32vFJqW7vd3tRoNB4MKMsekCKEuFtrvcX3/fd5nvcWrfVlSqkPM/OpxpirpJTWK7uDh/2vFdMLviCg+5sMoo7KSkxi0sKkVeZJK6mABgdHZbqFx4OLwEVl5qIii/eh7EDbg1OYeY0xZt3La+OUuoKZz7ei2P495yCVZUTU6hykckBrvUxK+Q0iutkY86gdK6V8SAhxk9b6MQjo8hAZJq3yxLqs3Y9eficV0OBgCOikCGTVPAEfYOlKkLtpi/dhFdAbmHlJ11He640xF1pgbHekWq1+t+so7594nnd2q9X6FhG91RiztyOg7yKi+40xX4KALo+ogoAuT6wxYbrfxk4pBQ5OqiA7nwcXgYvQgU7vMJMs+X8oBbSU8gYiGusS0B81xlxswbKnZLXb7e3dArrZbJ41MjJiO88XzRXQQoiva62/0osPszyJMMtT2opq+6Wf/5jmOwExILI0/V7IdtYnEabps8UVfh8tFLLC3MYj7ilYncYDONiRgAYXDU9dgINPdpTVR1+mjPzfq7aTcHCig1S6l2zYrxOJ6Dyt9dVdSzhe1VnbPKKU2q+1Pl5K+U0hxI1a68eDJRye591Yr9e/nVrm4MJAAAgAgQIhAA4uUDDhChAAArlCIJGAth3mVqv1ODOfPT4+/tzMzMx9RHSb1nprgIKUcqsQ4qta67uklFcS0TuNMZcopa5j5lV2vbRSapKZH1i6dKncsWPHbK4QxM0CASAABDJCABycEfAwCwSAQOkRSCSgLXq+768VQmwkotHOThrXSyk3M/PWRqNxn+/7r/E8704iOomIDrTb7csbjcZT09PTo7Ozs58NtrHzPO+aer3+cOkjAgCAABAAAhEQAAdHAAtDgQAQAAKOEEgsoB3dBy4DBIAAEAACQAAIAAEgAARygQAEdC7ChJsEAkAACAABIAAEgAAQGBYEIKCHJRK4DyAABIAAEAACQAAIAIFcIAABnYsw4SaBABAAAkAACAABIAAEhgUBCOhhiQTuAwgAASAABIAAEAACQCAXCBRaQCulLiWijcxcFUJs0VrfMqio+L6/VAjxWLPZfNvevXt/Mii7ne0B30dETETfXb58+Qcefvjh5iDsSyn/QgjxdmZuCyH+p9b6vw3C7lwbSqlPEdEyrfUfDsq2UuofmPl0IcSLHZs3z93KMc378H3/7XYXHCHEK5j5m8aYD6dpL7i2lPIDQogPdvJMMPPJnYOQ7FaVqb86e85fz8wshHhAa/2x1I12DCilrN33CiF+ycxfNsZ8clC282YHHAwOHkTOgoOpNBw8TPxbWAFtjxGvVCrbq9XqGbVa7Xml1LZ2u72p0Wg8mHZB+77/W0KIvxVCyNnZWTkoAa2U+k/M/LmXXnrp7CeffPKXUsovep73vXq9/tdp+yylvFgI8TGt9ZrXvva1i0ZHR39YqVR+94c//GEjbdvB9ZVSFxDRPxDRfYMU0FJK89JLL/3mk08++dygfLV2lFKvI6JHPc/7T7t3735WKfUtIvoLrfUDg7yPVatW+a1Wa1ulUnljrVb7Wdq2V6xYMTY2NvbUyMiI3L1790GllD186f/TWlv/U33ZHGPm/1atVv9zrVZ7QUp5jxDiTq31PakazuHFwcHg4EGlLTi4HBw8bPxbWAFtO1TMvMYYs64jNq5g5vPtwS1pF7WU8g7bgWXmu5rN5upBCeiVK1eu9DzvJGOMPSadpJQfJaLlxhj730G8RoiotWrVqpNbrdYjdo/ver2+bxCGp6enX9VsNu8XQnyJmU8blIDu2H2CiB5j5t8QQtyttf7EIHy23zbY+Gqt/9Tam56e/g+e5/1q165dBwdhf86Diz1V9Av1ev3vBmF3enr6mNnZ2Z+02+3Tms3mv46Ojj7Wbrf/ZM+ePf+ctn0ppcX6BGPMhg6vfIiIztZavzdt23m7PjgYHDyInAUHv9xMKQUHDxv/FllAb2DmJcaYGzsTne0crTfGXDiIou4I2B81m83zByWg5/p1yimnvHpkZGQ7Ef1BIKgH4bdSyi6TscLuy4MSsR2sv+J53m3tdtsuJTh/ULallFNEdNNLL730gVar9auxsTF7GuddxpjPp423lPI2IvoVEU0KIexBRV/XWv+XtO3Ovb6U8reFEJ/RWr9hwHb/WAixiZlfEEL8k9b69wZhXyn1JiL69Ojo6JqZmZn/Ozo6+jUiEoPklUH46cKGUgocDA52kUo9rwEOLg8HDxv/FlZASylvIKKxLgH9UWPMxalXdMeAlDITAT05OflaZrZCzq77/otB+RvY6XzFfp8Q4h+01p9L275Syn6rMGk7sfa4+EEK6G7flFLvJKL3DELQKaX+lojO9Tzvt5vN5r97nncvM/+dMeaLaWM+p/v8d8z8jUHanJycfD0zf97zvN9ZsmTJL37xi1/Yzvd2Y8xfDsJvpdSHmdn+zuAAET0khPgtrfU7BmE7TzbAweDgLPIVHJw+6lly8DDxb2EFtFLqiCUbnR8dnae1vjr99DpkIQsBLaV8gxDCiuc/11rbDuVAXr7vr6pUKt7u3bt/YA0qpf7fjqi9Ju0bsF9fMfN/EEK0iOhV9psH+/AwiB/UTU5OntlqtU6yx9Z3Yv4uIvp/jDHvTttvKeUnhBDHaa3/pIP5h5h52hjzx2nbttdfvXp15Zlnnnl68eLFEzt37nxhEDY7GP+pEOLVwQ8HO+vvP6S1fnva92CXjzDzsh/+8Ic/7mD+Ebt0xxjzkbRt5+364GBwMDg43aotGwcPG/8WVkBPTU2d1Gq1Hmfms8fHx5+bmZmxAue2Qe2OkIWA9n3/BCHE94UQVkwM9EdNvu+vFUJ8ePny5WuefvrpEc/zbAf6f9Tr9a+mSyFHXn3QHeiVK1eeMzIy8sVKpXI6Eb3UbDZtnt2htf5y2n5LKX+TiL7YbDbP3rt3779LKe+2Xeh6vf4/07Ztr+/7vt155DPGmHMHYS+w4fv+W4QQt46Njf3nnTt3vqiUuo2Zf26MuSnt+5iamjq11Wr9/fLly8/4yU9+sqRarX671WpdNYj112n75vr64GBwsOucmu964ODycPCw8W9hBXRngreibiMRjRLRPcaY6wdR0IENKeXeQf6IUCn1Z8z8YSGEsesyO1uM3T+odbHWPhFdwsx22zy7vdefDxLvzkPLwJdwKKVs9/H9zDwihPhHrfXHB+W3lNL+eM3+SLQihHhIa207/nYLw9Rfk5OTv8fM79JaX5a6sS4DUsr1RGR/IGzXgO946aWX/sjuPDOI+7Bre+1vC5jZs+uhjTGbB2E3jzY6D9bg4AH9NgEcDA4eFE9kxcHDxL+FFtCDSiTYAQJAAAgAASAABIAAECgPAhDQ5Yk1PAUCQAAIAAEgAASAABBwgAAEtAMQcQkgAASAABAAAkAACACB8iAAAV2eWMNTIAAEgAAQAAJAAAgAAQcIQEA7ABGXAAJAAAgAASAABIAAECgPAhDQ5Yk1PAUCQAAIAAEgAASAABBwgAAEtAMQcQkgAASAABAAAkAACACB8iAAAV2eWMNTIAAEgAAQAAJAAAgAAQcIQEA7ABGXAAJAAAgAASAABIAAECgPAhDQ5Yk1PAUCQAAIAAEgAASAABBwgAAEtAMQcQkgAASAABAAAkAACACB8iAAAV2eWMNTIAAEgAAQAAJAAAgAAQcIQEA7ABGXAAJAAAgAASAABIAAECgPAhDQ5Yk1PAUCQAAIAAEgAASAABBwgAAEtAMQcQkgAASAABAAAkAACACB8iAAAV2eWMNTIAAEgAAQAAJAAAgAAQcIQEA7ABGXyA8CU1NTJ3med6BWq72Un7vGnQIBIAAEioEAOLgYcYQXRBDQyILSIHDKKae8emRk5IlqtXpyrVb7N5eOSyl/WwhxKxFNEtFzRHSH1voTLm3gWkAACACBPCOQJgfPwUUopR4mop1a62vyjBfufbgRgIAe7vjg7hwiMDk5+VpmfqJSqZzgUkBPTk4ey8xPMfMHjDFfWrVq1cnNZvPbnuddW6/Xv+rQBVwKCAABIJBbBNLi4LmAKKX+CzPfKIT4Gwjo3KZKLm4cAjoXYcJNRkFAKfVnzPw+IUSViHYz83pjzHeUUrYzbMXuC0T0NmPMY0qpjxHRVcw8TkSPEdEfG2Oe7ojgPUKIDcx8gxCizcx/Y4y5ab57Oe2005bs3LnTXpcmJyfPYub7iOgyrfW3otw7xgIBIAAE8o5AFhxsMVu5cuU5IyMjn2PmHwghfg4BnfdMGu77h4Ae7vjg7iIioJR6EzPfJYQ4TWu9X0p5kxDiQq31b1lR3Gq19o6Ojh6/a9eug0qp64honRXTlUrl6dnZWbvk4s3GmLM6Y3/EzPeOjY1d/stf/nIFET3EzDcbYzYvdFtSygNCiFcy898bY66IePsYDgSAABDINQJZcbDv+0uFEN/1PO9yZv4jIpqBgM51Kg39zUNAD32IcINREFBKvZGIHmTm/zoyMrJ19+7dNSJie41AQAdLOJRSP2y323/WaDT+3r6/evXqyr59+/7N87w1nuftb7VaPxJCTNTr9Sft+0qp65n5d40xaxa6p+np6dF2u/3aVqt1nxBiC9ZBR4kexgIBIJB3BLLiYCnlFiKqGWM+qZS6EwI675k0/PcPAT38McIdRkRAKfVOIrIdCCum/5WIPqG1vmMeAW2XXDSZuWVNCCEEM1eY+b3VanVHs9ncY4yxy0Befk1OTl7ebrc/boyZCrsl3/c/6HneB7XWbwgbi/eBABAAAkVCYNAcLKX8AyJ6vzHmPNswgYAuUjYNry8Q0MMbG9xZDAR8338NEZ3QaDT+j+/7izzPu5SIvjgyMvI6eznbVR4dHV1ml3BIKbUQ4sNa6wcCU0qpyUqlspeZT7LLPSqVyn+s1Wo/s+9LKT8uhDhPa/07c29NSvkGIcTfa61fb03Y95RSHyaid2qtV8dwAx8BAkAACOQSgYw4eJsQ4pw5zZBXdMCro4mRyzTKxU1DQOciTLjJfhGQUr6LiP67XYZRr9e1UuoiIrq7UqlYYT3abDaftr810Vr/yC7JIKJLZmdnL927d+9TSqkPEdGmSqVyCjMvsmLbiu8XX3zxQ8ccc8wprVbrm8z8p8GSj+CeOkK91ln3fLNSapqI7mu329d3j+3XD4wDAkAACOQRgSw4uBsndKDzmDn5u2cI6PzFDHccgkCnU/wBZn4lEdn1y9cbY+7vdJHvIaILhBBXaK3vlVLaHTb+kIiWEZFut9sfazQa/xT8iJCIbmXmy+3qDvv/tdZ/NZ/5qakp2W63P0tEdgeOn9s9obXWn0OwgAAQAAJlQyALDp6LMQR02TIuG38TC2illP2KfCMzVzs/mrplPld83z/d87x/1lovtu93frB1e+drl7bdDcFuNZYNDLAKBI5EoHu9NPABAsOKADh4WCOD+0qCADg4CXr47CAQSCSgJyYmTqxUKtur1eoZtVrteaXUtna7vanRaDw49+ZXrFgxNjY29qAVy1rrEfve5OTkte12+/XGmKuklPZHWfd0fpxlxTReQCBTBIIOdKVSOd7loSuZOgXjhUMAHFy4kMKhDgLgYKTCsCOQSEArpd7DzGuMMXYvXfvDqSuY+Xwriuc6LqW8ze6hK4T4x0BASykfIiK7p+6jdqz9Wwhxk9baHmaBFxDIFAF0PzKFH8b7RAAc3CdQGJY7BMDBuQtZ6W44qYC2p7QtMcbc2BHQF3ROfbswQNL3/bd7nneJ1voPlVJtrbXXEcy7ieitxpi9nb/vIqL77VHIpYsCHAYCQAAIxEBAKQUOjoEbPgIEgAAQSIpAIgFtf4BFRGNdAvqjxpiL7Y3Zrxer1eq9lUrlglqt9u9dAloT0UVzBbQQ4uta668kdQqfBwJAAAiUAQFwcBmiDB+BABAYRgQSCejuJRv260QisvvkXt3pSNulHXarsBl7TgURnUZE/zI7O7umUqn8LyHEjVrrxzsd6Ic8z7uxXq9/uxdQzWaLR0ZebmLjBQSAABDIPQL2AJ+4ToCD4yKHzwEBIAAEDiEQl4NjE7c1OjU1ZQ+beJyZzx4fH39uZmbmPiK6TWu9db7AzO1AK6WuY+ZVdr20PbyCmR9YunSp3LFjx2yvoD777C+43+nGjlu27Fg6cGCG+OXDnAf3gm1gPqhsK2OuFcnnE05YGpuHwcELV1mRciQKl8Dvwc49wHuweB8SvG61XVwOjk3cQUH7vr9WCLHRHlLR2UnjeinlZmbe2mg0rKD+9Usp1Qp+RDg9PT06Ozv72WAbO8/zrqnX6w+HEYUV0GFjgvctyMcffyzt359NgGG730i5GYd4lyfPixTrV786voC2lQMOnp8/ipQjURgSfg+WB4H3YPEOBLRLfRWXgxML6CiF7WIsBHQ4iijo/Bd0eJQPjyhjvIvkc1zyjpIjLseCg8PRLFJ+hnsLLnIp5oB3OAKu6ysuB0NAh8cq1gjXAY5yE7ANAR0lX5KMzSrXsrI7TN2PJHFL8lkI6HD0ipSf4d5CQENAR8mS5GNd1xcE9DwxcQ1ylLDDNkRslHxJMraMuVYkn+OSd5KcSfJZCOhw9IqUn+HeQkBDQEfJkuRjXddXXA5GBzp5LOe9gusAR7lN2IZ4j5IvScZmlWtZ2UUHmggCOrxiipSf4d5CQENAR8mS5GNd11dmAlopdSkRbWTmqhBii9b6lrnwKKXeRES3MrM9wvtHzWbzyr179z7fOd77WSFEIxivtT6TiHr+SBDkHZ58rpMr3GK5CTQNUQXMeyNQpByPS94BQuDg+XOlSDkCPghHIKt4Z2UX8467DSLicnCiDrQ9KKVSqWyvVqtn1Gq155VS29rt9qZGo/FgJ909pdSTnue9effu3UZK+UkhhN2J4+NKqXOZ2R66ckl4aRweAQEdjhYKGh3o8CxxMyKrXMvKbhqTVlzytvcCDl44j4uUI1GqFX4Plv+B92DxHiYOTiSg7cEpzLzGGGMPTKHuTf07RW87z63OtnWfI6Kdxpi/VEp9hJkvs4KamZtCiA3BoSq9yAICOpxKUdD5L+jwKJe761+kHE8ioMHBENDdCBSpNvLAg8A7//NtXA5OKqA3MPOSrqO81xtjLpyb+FLK04QQ3ySiXzHzOcaYpycnJ69tt9ujxphP+b5/uhDivkWLFp26a9eugxDQUWjj6LEo6PwXdJQMKGO8i+RzXPLuNC3AwQsUS5FyBHwQjkBW8c7Kbhqd2HCUi9m4icvBiQS0lPIGIhrrEtB2WcbF8wXC9/0PCiGuMMa8sft9KeXXmPmO7sNXusfhJMLwFLcFjRMYw3FyOQKYD/ahpUh4xz0Fy+YvOLh3Bxo86JLlwq9VpLoM9/bQiDL6XDS/43JwIgHdvWTDfp1IROdpra+2AC9fvvwVS5YseVMgiu3fxxxzzM+MMUuVUuva7fY3Go3GU51Oyr2dY8C39UrcZrPFIyNev7mNcUAACACBoUZACDsFx3uBg+Phhk8BASAABAIE4nJwbOK2hqempk5qtVqPM/PZ4+Pjz83MzNiju2/TWm+175911lnVmZmZn7ZarQv27NlTs6KZiC7RWr9NKXU7Ec1ordf7vr/K87xtixcvlyRnmgAAIABJREFUntq5c+cLvcKKDnR40uOJeLDd0KI9jYdn2OERWeVaVnbTiHXc7gc4uHemFilH8lCTadRGHvxGnuV/vo3LwYkEtE1u3/fXCiE2EtEoEd1jjLleSrmZmbfazrPv++d7nvdp+00HET1VqVSurtVqP5uenn7V7OzsnUKIU4ioyczXGGMeCSsY/IgwDKFDXylhX8pwnFyOAOaDJdEi4R13/V2Qv+Dg+Su5SDkShavgN7goSr7EHVukPIvLwYkFdFzw434OAjocuSIldri3R3ZD8eAQBbHkY7PKtazsBl02l3kWl7yTRy/eFcDB4bgVKT/DvS03ByPWg31gGSYOhoCOwg4RxqKo8l9UEcKNrv/+wca7SPUFAR2l0vofW6Qc6d9rfAO5H1wUJV1ijy1SfcXlYAjo2OnT+4NFSq4oEMHvwQrJNJ7G8xDvIuVZXPKOEieXY9GBDkezSPkZ7i060C6/kQLe4Qi4rq+4HAwBHR6rWCNcBzjKTcA2RGyUfEkyNqtcy8puGg8scck7SdySfBYCOhy9IuVnuLcQ0BDQUbIk+VjX9RWXgxMLaKXUpUS0kZmrQogtWutb5sKjlHoTEd3KzPZEwh81m80r9+7d+/zq1asr+/btu10IcQ4zt4lonTHmO2HQgrzDEMJXeIP+Ci8NURUeZUxaRZm04pJ3kAHg4PmrxfUki5oMR6CMmJfR56LNeXE5OJGAnpiYOLFSqWyvVqtn1Gq155VS29rt9qZGo/Fgp9Q8pdSTnue9effu3UZK+Ul7dLfW+uOdkwhfb4y5Sko51dnBw/7XiukFXxDQILGFEACRlafzXqRYxyVvWwfg4IX5sEg5Es765X6gzlLQIc/yP+/E5eBEAtoenMLMa4wxdn9n6t7Uv1PStvPcmp6eHp2dnf2cEOJftNafllI+REQ3G2MetePs30KIm7TWj0FAR6HLo8eioPNf0FEyoIzxLpLPccm7w7ng4AWKpUg5Aj4IRyCreGdlN8uHhqLZjsvBSQX0BmZe0nWU93pjzIVz011KeZoQ4ptE9CtmPscY87SUcjcRvdUYs7cjoO8iovuNMV+CgA4ni14jUNAQ0MkyqP9PZ5VrWdlNY+KIS94dAQ0OhoA+AoEi1Ub/TJTd0kXgnf/5Ni4HJxLQUsobiGisS0B/1Bhz8XyJ7/v+B4UQVxhj3iil1ER00VwBLYT4utb6K2EC2iZsPy87btmyY+nAgWwCDNv9RMndGMS7PHlepFjHPQWr03gAB/cQ0OBgd/zaz5WKVJf9+Bs8UCPP+kXLzTjXeRaXg/uUovM73b1kwy7pIKLztNZX208sX778FUuWLHmTPZEw+PuYY475mTFmqZTyfwshbtRaP96ZCB7yPO/Ger3+7V4QN5stHhnx3EQBVwECQAAIZIyAEP22BI6+UXBwxsGDeSAABHKPQFwOTiSgp6amTmq1Wo8z89nj4+PPzczMWKF8m9Z6q0X0rLPOqs7MzPy01WpdsGfPnppSyq6VvkRr/Tal1HXMvMr+iFApNcnMDyxdulTu2LFjFh3oZPno+uksyt3Adnm6wFl2X4qUZ3G7HxZ/cPDC7FSkHAEHhyOQVbyzspsl/xbNdlwOTiSgLYi+768VQmwkotHOThrXSyk3M/NW23n2ff98z/M+TUTW1lOVSuXqWq32s86PCj8bbGPned419Xr94bAywS4cYQhltxYsKKqibC8WjvThEVgHN9gHhyLhHXf9XZB94OD5K7VIOQIuCkcgq3hnZRfz7bHkasvauBycWECHp7XbERDQ4XiioAcr5kBk7ogsPLsPjShSjscl736xcj0OHByOaJHyM9zbcjcSEOv8z7dxORgCOgo7RBiLosp/UUUId6EEXR78LlJ9xSXvKHFyORYCOhzNIuVnuLcQ0PjWNUqWJB/rur7icjAEdPJYznsF1wGOcpuwDfEeJV+SjM0q17Kym0b3Oy55J4lbks9CQIejV6T8DPcWAhoCOkqWJB/rur7icjAEdPJYQkDPQcB1YkcJD2yX58GhSLGOS95RasPlWAjocDSLlJ/h3kJAQ0BHyZLkY13XV1wOTiyglVKXEtFGZq4KIbZorW+ZC8/KlSvP8DzvM0KIVzDzi0KID2mtv79ixYqxsbGxZ4UQjWC81vpMIuJe8IK8w5PPdXKFWyw3gabRlQTmvREoUo7HJe8AIXDw/LlSpBwBH4QjkFW8s7KLecfdb2/icnAiAT0xMXFipVLZXq1Wz6jVas8rpba12+1NjUbjwTnk/gMi+oDd71lK+WYhxK1a6zcopc5lZnvoyiXhpXF4BAR0OFoo6PJ0YstKokXK8bjkbWMPDl6YD4uUI+GsjyZGVvHOym5ZuT8Nv+NycCIBbQ9OYeY1xhi7vzN1b+pvfywvpbzSGPN5+/7U1NSyVqtljDHLlFIfYebLhBAtZm4KITYEh6qgAx2FLo8ei4KGgE6WQf1/Oqtcy8ruMJF3h3PBwQukq8scaTabtGfPr78sDS0Qa/u445bQwYMvEPf8TvXwpVau9KlSqYReO2yAS7/DbHW/X0bbLn0eRJ7ZmLnINZd+Z51nWQnoDcy8pOso7/XGmAvnA0QpdTszV+zhKZOTk9e22+1RY8ynfN8/XQhx36JFi07dtWvXQQjoqOl05PgiJXYUJOB3eR4cihTruOTdEdDg4AEI6Hp9N1159/do9MSTo1BS32Nf+vmP6Qtrz6TJyam+P7PQwCLVRhQwsvLbpd2088zi6SrXXPodJc7D1MRI1IGWUt5ARGNdAtouy7i4CxBPKfXX9sRCz/MuqNfrM92ASSm/xsx3BMd+LwSoXcJhA9fPy47DGfX9IOVuDDDPRsSWLc+LlGdxT8GyVQsOXpi7XOaIFTZXPbqfxl7juyPLOVf6v0816HO/fbwzAV02PghEVRZ+5ynPLE6ucs2l31GLyrXtuBzcpxSd373uJRt2SQcRnae1vjr4ROfEwS/bHxEuXrz4XTt37nyh0zlZ1263v9FoNJ7q/H1v5xjwbb3AbDZbPDLiRcUb44EAEAACQ4mAEP22BI6+fXDwYEJaq9Vo7b0/TlVA3/2Ok2l6enowDsHKUCKQdp4FAhq5dmT443JwIgE9NTV1UqvVetx2lsfHx5+bmZm5ryOCtwa3p5T6AjMvMsZcTkStOf9+OxHNaK3X+76/yvO8bYsXL54KBPZC2Y0OdHjdu346C7d4eARsowMdJV/iji1SnsXtfljswMELZ5DLHEEHur9KdYl5fxazn3tc+px2ngUC2sW3HS79zjrWcTk4kYC2Tvu+v1YIsZGIRonoHmPM9VLKzcy8lZnrIyMjmojs/37VAYntdnXT09PHzc7O3imEOIWImsx8jTHmkTAgsQtHGELFOuY43NsjCRT7cUZBLPnYrNbBZWXXIubadpI10ODg3gLaFR9YYfP+x9JdwrH5XHdLOFz5HZUhXNdGFPtZ2XZpN+08CwS0i1xz6XeUOA8TBycW0FEdTzoeAjocwSIldri3ENBljHeRfE4qoKPUiIuxZeTgtIWNXZfqQtSkIS6i5EyR6rJfv136nHaeQUDPH9W4HAwB3W+VRBznsqgimnbeIYtiH35ns4SjbB2nIuVZXPKOUpcux0JAu0Tz0LUgoJNjmhUnuLQLAd1fHrjE3FqMy8EQ0P3FK/Io1wGOcgOwDREbJV+SjM0q17Kym0aHLy55J4lbks9CQCdBb/7PQkAnxzQrTnBpFwK6vzxwiTkE9AKYuwa5v9AeGgXbELFR8iXJ2DLmWpF8hoBOkv0Lf9ZljqQtbCCgk+eAy3hHuRuXdtPOM5ffdrj0OwreaeiruBycuAOtlLqUiDYyc1UIsUVrfctcMFauXHmG53mfsdvYMfOLQogPaa2/v3r16sq+fftuF0Kcw8xtIlpnjPlOGJBl7H6EYdL9fpESO4rv8Ls8Dy1FinVc8g5qAxw8P0u4zJG0hQ0EdBSmTz/eUe4mT3kGAT1/ZONycCIBPTExcWKlUtlerVbPqNVqzyultrXb7U2NRuPBOeT+AyL6gD2mW0r5ZiHErVrrNyilPszMp9pTCaWU9vglu4OH/a8V0wu+IKDDS9tlQYdbO3IEbJdHxKbRCeg334qUZ3HJ22IFDkYHGg2UQwhkxQku7ab9oAYBPUQC2h6cwsxrjDHr7G11b+pvc1pKeaUx5vP2/ampqWWtVssYY5ZJKR8iopuNMY/a9+zfQoibtNaPQUD3KyOG60k8SxKD7WNp//7yiHeXk1bUanNtO4mABgdDQENAQ0BH4TBX33a45sEoPri2HZeDE3WglVIbmHlJ11He640xF84HhlLqdmaudLrOu4norcaYvR0BfRcR3W+M+RIEdJRUOnqs6+SKcjewXR4Rm+VDS5HyLC55d5oW4OAFCMpljqTdGXQlarKsybLazlOeoQM9RB1oKeUNRDTWJaA/aoy5uOs2PaXUX9sTCz3Pu6Ber89IKe3hKhfNFdBCiK9rrb8SJqBtwvbzsuOWLTuWDhxILmqazSbt2dPox+zLY6ztV75yCT333AvE3PfHaOVKnyqVSv8fmGekS7+j3ghsJ8u1qHkWN9dc5Flg21WNRcm1IuVZ3FOwOo2H0nBwlPxwnZtpnxBnBbSL0+Fc+50l5nmx7ZKL0s6zQEC7yDWXfmcd67gc3KcUnd+97iUb9utEIjpPa3118Inp6enR2dnZL9sfES5evPhdwVHdnSUbG+3a6M5E8JDneTfW6/Vv9wKz2WzxyIgXFe/E4+0Z9W/f/AiNnnhy4mstdIGXfv5j+vr7z6Pp6enUbODCw40A8my445PG3QnRb0vgaOtl4uA0sO/3mrYu1977Yxp7jd/vRyKNswL67necDO6PhFrxBqedZ4GARq4dmTtxOTiRgJ6amjqp1Wo9bjvL4+Pjz83MzNxHRLdprbcGt6eU+gIzLzLGXE5ErTn/fh0zr7LLOZRSk8z8wNKlS+WOHTtme5WF/RFhv9ONyyckPBn2R1YuMe/P4uFRRbCdpzyzyGeFeVZ20/A5bvfD3kuZODhLPki7LtGBjhrdo8dnxQku7aadZ4GARgf6yPyJy8GJBLS9Bd/31wohNhLRaGcnjeullJuZeSsz10dGRuxSDfu/X3VumbXWZ05PT1dnZ2c/G2xj53neNfV6/eGwMspqF46018AFie3iOFeXa7LC4tH9PmwnW8KRpzwLxGQWpyAWKc+SrIEuEwdnyUVp1yXWQEeN7vwCOu9clHaeQWfMn2dxOTixgE6e9tGuAAEdjpdLcRF1Ta61fdxxS+jgwf7Xfrtcj5sFgboUknkiUJd+DyLP7P26yDWX9WXvKS55hzNBOiOy4uCo3riMU9p1CQEdNboQ0HERc5VrLusrqi+ubcflYAjoPiOXNoEO65Oh9fvKu7+X2tpvu+77C2vPpMlJuwV4spfroopyN65s5ynPXArotPPM3qurXHMV6yC/4pJ3lPx0ORYC2iWah67lStS4rMk4XrqujSj3kJVtl3bzxP8u/Y4S5zRyPC4HQ0D3GbmyJnbafmPiODIB08Z7WCfrPPnteuKIS959UpfzYRDQziGFgHYAqeu67PeWXNotMw/2i3ehBHTYMbIBKFLKm4UQLa31J+y/rVixYmxsbOxZIcSv94aza6OJqOemb1mRd1kTO22/IaAhoC0CaeeZywcHlxOmva+kArosHBxlgnU9yaadn+DBqNE9erzruuz3jlzaTTvPhpkH+8XbdW0n4eBEHeh+jpGdmJgYr1Qqnyai3xdCbAoEtFLqXGa2e0ZfEgU4COhwtPJU0Jg4IKAhoJfG5uEycXA48x05AjyY7AfNUfFOQ9hEuQeX8c7KLgR0f8i7jnXcJkZs4rZu9nGMrD2i+71EdAIRHTO3A62U+ggzX2b/jZmbQogNwZ7QvSCEgA5PMJfJlXZBQ0BDQENAxxfQZeLgcOaDgC6riM3S7zzNt+hAz88iWQnovo+RVUrZre7sFnYvL+GQUl5DRHZ/6E/5vn+6EOK+RYsWnbpr166DENDJflCXp4KGgIaAhoBOJKBLw8EQ0P0h4JL/+7N4eFQZbbv0Oe2GFQT0EAnoCEd52271EQK62w0p5deY+Y5Go2EPY1nwhYNUwinNFrSr45XT3tgdBwgcLaCvenR/aieeBQTqYiP9oOvjItfSzjOXfrusL3tfcTfx7zQi+j3KO/ccHM58R3egXeRm8ICXZl2CB6NG9+jxruuy3ztyabfMPNgv3i7nncBmXA5OuoTjCmY+354maG9kvqO8gxvsFtBKqXXtdvsbjUbjqc5n7+2cYritF5BZHuWd5lGuwQQ/bEdspn20KI6wPTLb08a7rHk2rH4fmgzsFBzv1c9R3kXh4HgIuflU2nUJHnQTp7xfJe08G2YezDJ2cTk4NnFbZ/s5RrYHed9ORDNa6/W+76/yPG/b4sWLp3bu3PlCLyDRgQ5Pszw9EaPzcmQ889SBcNkJyJPfLuvLYhi3+1E2Dg5nviNHuIxT2vkJHowa3aPHu4x3lLtxaTftPAsEtItvIF36HQVvl/NOYDcuBycS0NZ4r6O85y7H6O5AT09Pv2p2dvZOIcQpRNRk5muMMY+EAYkfEYYhZDtaRK5O5Et7TRbWQB8toN//WPpLOFwcGR8QmYtcSzvPgonDhd8u68veV9wfsASZUxYODme+owW0i9y0V007P8GDUaM7v4B2Fe8od+OSD9LOs2HmwawwT8LBiQV0FKddjIWADkcxTwWNiQMCehACZZgnjqQCOpwR3I7IioOjegEexDZ2UXMmzvg85dkw82AU7F1iDgG9APIuQS7rk2HafkNAQ0BDQMffhSPKpONqLAS0KyQPXwc8mBxTl/N9lLtxaTft+RYCev7Ixm1ioAPdZ6WUNbHT9hsTBwQ0BDQEdJ80HGlYnoQNeDBSaOcd7DLeUe7Gpd2051sIaAjonkd9z4UHiZ38K7y0CxoTBwQ0BDQEdBTB0u/YPPE/eLDfqC48zmW8o9yNS7tpz7cQ0EMmoJVSlxLRRmauCiG2aK1vme8WpZQ3zz2JcPXq1ZV9+/bdLoQ4h5nbRLTOGPOdsMTN6uvDsiZ22n5j4oCAhoBOJqDLwsFhc0P3+3kSNuDBqNE9erzLeEe5G5d2055vIaCHSEBPTEycWKlUtler1TNqtdrzSqlt7XZ7U6PReDC4zYmJifFKpfJpIvp9IcSm4CTCycnJa9vt9uvtHtJSSnv03j3GGPtfK6YXfEFAh5d2ngoaEwcENAR0fAFdJg4OZ74jR4AHk38DmSXmebGdpzyDgB4iAW0PTmHmNcaYdfa2ujf1t/8mpXyv3eqUiI6Z24GWUj5ERDcbYx7tjHtICHGT1voxCGgc5R2VPO14l0QW1b4r23nqQLjEPE9+u4p1kGNxf8DS4dyBc/Ajj2yPtIzuuOOW0MGDLxD3/SmilSt9qlQqUcvwiPEu45R2fqKRcGSom80m7dnTiBR/G++ouVa2PIOAHi4BvYGZlxhjbuyQ+QXMvN4Yc2H3bXbvAy2l3E1EbzXG7O0I6LuI6H5jzJcgoCGgIzFnZ7DLCTOqfVe2056oXRIoBLSbDl9CAT1wDn7dtbfx6IknRy2Rvse/9PMf0xfWnkmTk+DBvkGbM9AVF2Vp2/LglXd/j5BncaLQ+zOuHtaKkGdJmxiJduGQUt5ARGNdAvqjxpiL+xDQmogumiughRBf11p/JUxA28D187Ljli07lg4cSD7RlfWEoLT9xglcR2Zy2ngHAtrFSVSBgHZRY3ny2yWvWAzjnoLVaTwMnIPVn9/PY6/x+6HgWGNccYLLOKWdn658dlmTcYLnCvO08XbJg658tvdUVr+j5ppLzJNwcJ9SdH73upds2CUdRHSe1vrqPgS0XbKxUWv9eGcieMjzvBvr9fq3e4HZbLZ4ZMSLinfi8WU9oz5tv+3Ecfc7Tqbp6enEMSrCBdLGO5g4hg3zsvp9SPD02xI4OsOz4OBBCOiy5Sd48MjcLisflNXvrOfuuBycSEBPTU2d1Gq1Hmfms8fHx5+bmZm5j4hu01pvDRPQSqnrmHmV/RGhUmqSmR9YunSp3LFjxyw60Mm/unTRFRzEEzE6L+hADyLPhrXjlKT7YT+bBQcPQkC7+IbEZZcq7c4geDC/PJinPBtmHowiol1inoSDEwloa9j3/bW2k0xEo52dNK6XUm5m5q2NRsMK6pdf3Wugp6enR2dnZz8bbGPned419Xr94TAQsQtHGEJuf0yX9ppcV+uxDnXyiI4//ljavz/5kp1wlI8c4cp22ngHBLr53OMTrzF1iXme/HYV6yCDkqyBzoKDByGgXeSnyzilnZ/gwaMF9Psf209pLxUqW5655H+X9ZXVfJuUgxML6KiOJx0PAR2OoMvExsQRjndZhWRZ/XZZXxbDpAK6vwx1NwoC2h2WwZUgoCGgLQJpz7cQ0PPXblwOhoDukwvLmthp+42JI78TBwS0m2864pJ3n9TlfBgEtHNIaRh5MMut5NKed4ZVSJbV76i55nrLwrgcDAHdJxeWNbHT9nsYJ44+U+KIYa66kmnj7XLigICGgI5TK2GfccUJrmpyEJ1BVz67rsmstpLLEw/mKc9c8r9rv9PMtbCtMSGg52Fl1wHGmqywqS/6+8M4cUT3wt366zxNHK4n6zLWF5ZwHF1trjghT/zvyuei1GSeeDBPeTbMAjpN/g+rr8wEtFLqUiLayMxVIcQWrfUtcylxcnJyebvd3iKEOJGZnxFCvFtrvX/FihVjY2Njzwohfn3ckNb6TCLqeV4V1kCHy7s8FXRYYod7e3iES7+j2C3KpBXV57L67TrP4pJ3EK9BczCWcMSplN6fGUYezFLEZmk7anRd8gH8Tmd/+bD6isvBiZZwTExMnFipVLZXq9UzarXa80qpbe12e1Oj0XgwSEIp5deEEHdrrbf4vv8+z/PeorW+TCl1LjPbQ1cuiZKwENDhaOWpoHsldtbrosKRdi/e80SgRRHQg8gzi9VCxwbHJW97zSw4GAI6CjP0NzZsgu/vKodGueL/LLkoS9tRsHaJt70W/C6RgLYHpzDzGmPMOhv87k39V69eXXnmmWf2a62XEVGLiEaUUgfs30qpa5j5MiFEi5mbQogNwaEqvRIYAjq8vF0R6CAKutfEkfZxrmHrosKRhoB2lWtZThxp55nNkl65lkRAZ8HBENBRmKG/sRDQR559kCUf9Bcx99w/iPnW2nCVa664fxB+h/kcl4MTdaCVUhuYeUnXUd7rjTEXBt2RarX6Xa31bwTpppT6SaVS+c1Wq/X77XZ71BjzKd/3TxdC3Ldo0aJTd+3adRACOvlBKq72Q06byMIEdJbroqIQqSsySRtvlwTqsvuSpd9Z2rYYxiXvTtNi4BwMAR2FGfobGzbB93cVdKCj4OQKc1fcPwgh6ZL/8+R3WKzjcnAiAS2lvIGIxroEtF2WcbENlD0lq91ub+8S0D9tNptnPvHEE8/OTXa71IOZ75h7+Mp8xWA70P0efOvytJq0T6IKEhsncB2OetqYD+PpX2n77DLPAgHt4tTLLP3O0rbF8IQTlsbm4Sw4eBACGjwYRQoeOdbVvJdlXWRpOyryrvAOBPRVj6Z/gAzq68gox+Xg2MTd6X5cwczn2+O4O3+/h4jO01pfbf+es4TjVUTU7izhsEs6jldKvbfdbn+j0Wg81fnsvZ1jwLf1SuBms8UjI17UHE88vqxn1KfttxWxd7/jZJqenj4qRlnaTpwwMS+Qts+BgF4I85i3nfhjWfqdpe1DDyH9tgSOhrl72Zxd0pE2Bw9CQJctP3vxYOLiinmBLOsiS9sx4XLyMfid3hroXpwSl4MTCWjbYW61Wo8z89nj4+PPzczM2KO7b9Nabw2ySUq5VQjxVa31XVLKK4nonfaHg0qp24loRmu93vf9VZ7nbVu8ePHUzp07X+iViehAh9dpnp6Ie3WB0+5CoAOdbKkQOtDhtRiM6JVrcbsf9tpZcPAgBDQ6ZP3nVvdIV/yfNv8GD/PzxTpL21GRd4U3OtDpdd7D5vq4HJxIQNuA+76/VgixkYhGiegeY8z1UsrNzLzVLsfwff81nufdSUQnEdGBdrt9ue06T09Pv2p2dvZOIcQpRNRk5muMMY+EJS9+RBiGkLtfYQcFndU65LTXpoatiwpH+vAIV+vB0vY5mLQ2n3s8TU66EdAu1ttn6XeWtm084q6/C7Jv0Bw8CAHtIj9d1WTWPBiFh4KHWtRkOGqu+D9PeeaS//Pkd1is43JwYgEdnqZuR0BAh+NZlMROW9iEFVU40hDQrnIt7Vj3mjiytO1CQEfJUxdjIaBdoHjkNcBF2IVjEA9qENDzN41KI6AfeWR7z4NW5tKSndyPO24JHTz4AnHfn5p/v9asJ9kolO1K1AyioIdxF46o+wIHXZ+ouTbfvsB5yjN0u/qvyl55Hpe8+7fudiQEtFs8e4masnJRnngwT/Oty1zLk74Ke0CNy8G560C/7trbePTEk90zWOeKC+3XmmVBRyXRoiR22pgvVFRZ7gucts8uCbQoDw5ZYo4O9NFUvlBdDoIHFzrsJu0cARcNTwd6EHlms37YGihFnvcgoDs8m1X3I20CDfuK+cq7v0dFfHAYxg501rFOc815WfMszO+sMIeA7l9Apz3B9zrsJm1O6CWgs8rNtH0e1ppMO8+s38PYqCtyvIdWQCulLiWijcxcFUJs0VrfMpcSJycnl7fb7S1CiBOZ+RkhxLu11vvtFnf79u27XQhxDjPbLe7WGWO+E9ZaLquALiqJQkAPT+elyAQ6rJO1CwENDg6bNfp7H1wELhrEssVh5aIi8/9QCuiJiYkTK5XK9mq1ekatVnteKbWt3W5vajQaDwaUZQ9IEULcrbXe4vv++zzPe4vW+jKl1IeZ+VS7h7SU0lau3cHD/teK6QVfEND9TQZRR2XVAcGkhUmrzJNWUgENDo7KdAuPBxeBi8rMRRDQ0bkk0Rpou2k/M69RbDs1AAAgAElEQVQxxqyzprs39Z9zkMoyImp1DlI5oLVeJqX8BhHdbIx51H5WSvmQEOImrfVjENDlITJMWuWJNTov828dGPcHLB3OBQdHn/fm/QS4CFwEAZ3eXsxZ8v9QdqCVUhuYeUnXUd7rjTEXWrBsd6RarX636yjvn3ied3ar1foWEb3VGLO3I6DvIqL7jTFfgoAuD5Fh0ipPrLMk0GG1nbQD/f+3dzbQclRVvt+nbvVNroHcBwGRPCIYUuf0TcNCPjSiCInoDOLHE5HRhSIqijIqohgDsxwC4lMXKs48nxnGgCjgqChPwscQhZnFCHFWNL43MdPcPqdDRISgTDJ8XAHJ7e791oHu4eYm91ZX1amq7up/rzWLifd07dq/s8+//nX6VB1osCP3TETQImgRDDQMdBRFSTQDLaW8mIhGphnoC40xp9qTsLtktVqtjdMNdKPROG5oaMjOPL9xqoEWQtyqtb5xtgSyeAvHde84do9NJuzPG+/9UfoP8g1abPswxd5y7ghZmsxnio2+TvctN4NW47aWZ6vzuLtgtSceoMFRrniztIUW7Wmg09Tf2cYFNBga7GhYP3eY2ca2/XtcDU5koKcv2bBLOojoRK31ufakpizh2L+9tnlIKbVDa32AlPKnQohLtNYbOks4PM+7pFar/dwlOBwLBEAABIpKABpc1J5FXiAAAr1OIJGBtjPMzWZzAzMvGx0dfXxiYuI2IlqjtV7XSVxKuU4I8SOt9fVSyrOJ6G3GmNOUUp9i5qX2IUKlVJmZ75g/f77ctGnTZK9Dw/mBAAiAQC8QgAb3Qi/gHEAABAaRQCIDbYEFQXC6EGI1EQ2336RxkZRyLTOvq9frtwVBcIjnedcS0cFEtLPVar27Xq8/VKlUhicnJ7/ReY2d53nn12q1uwexE5AzCIAACMQlAA2OSw7fAwEQAIH4BBIb6Pih8U0QAAEQAAEQAAEQAAEQ6D8CMND912c4YxAAARAAARAAARAAgRwJwEDnCB+hQQAEQAAEQAAEQAAE+o8ADHT/9RnOGARAAARAAARAAARAIEcCMNA5wkdoEAABEAABEAABEACB/iNQaAOtlDqDiFYzc0kIcYPW+vKsuigIgvlCiHsbjcabt23b9mBWcduvB3w/ETER/XLhwoUfvvvuuxtZxJdSfkkI8RZmbgkhvqW1/loWcafGUEp9mYgWaK0/kFVspdT3mPloIcTT7ZiXTX2VY5rnEQTBW+xbcIQQL2LmnxpjLkgzXufYUsoPCyE+0q4zwcyHtjdCsq+qTP3Tfuf8RczMQog7tNafST1oO4BSysZ9nxDiT8z8A2PMF7OK3W9xoMHQ4CxqFhpMA6PBvaS/hTXQdhtx3/c3lkqlY6rV6hNKqfWtVuuKer1+Z9oDOgiCVwkhvimEkJOTkzIrA62UegUzX71r165lDzzwwJ+klNd5nverWq32t2nnLKU8VQjxGa31isMOO2zO8PDwfb7v//l9991XTzt25/hKqZOJ6HtEdFuWBlpKaXbt2vXKBx544PGscrVxlFIvI6J7PM97xfj4+KNKqX8moi9pre/I8jyWLl0aNJvN9b7vv6Zarf4+7diLFi0aGRkZeWhoaEiOj48/ppSymy/9ldba5p/qx9YYM3+tVCq9ulqtPiWlvFkIca3W+uZUA/fhwaHB0OCsyhYaPBga3Gv6W1gDbWeomHmFMeacttk4i5lPshu3pD2opZTX2BlYZr6+0Wgsz8pAL1myZInneQcbY+w26SSlvJCIFhpj7H+z+AwRUXPp0qWHNpvNn9l3fNdqte1ZBK5UKvs3Go3bhRDfZ+ajsjLQ7bj3E9G9zPxSIcRNWuvPZZGz/bXB9q/W+tM2XqVSeYnnec9u2bLlsSziT7lxsbuKfqdWq303i7iVSmWfycnJB1ut1lGNRuM/hoeH7221Wh/funXrv6YdX0ppWR9ojFnV1pXziGiZ1vp9acfut+NDg6HBWdQsNPi5yZSB0OBe098iG+hVzDzPGHNJ+0JnZ45WGmNOyWJQtw3sbxqNxklZGeipeR1++OEvHhoa2khE7+0Y6izyVkrZZTLW2P0gKxPbZn2j53lrWq2WXUpwUlaxpZRjRHTprl27PtxsNp8dGRmxu3Feb4z5dtq8pZRriOhZIioLIexGRbdqrf867bhTjy+lfK0Q4uta65dnHPdjQogrmPkpIcS/aK3fkUV8pdTriOjK4eHhFRMTE88MDw//mIhElrqSRZ4uYiiloMHQYBelNOsxoMGDo8G9pr+FNdBSyouJaGSagb7QGHNq6iO6HUBKmYuBLpfLhzGzNXJ23feXssq3E6f9E/ttQojvaa2vTju+Usr+qlC2M7F2u/gsDfT03JRSbyOi92Rh6JRS3ySiEzzPe22j0fij53m3MPN3jTHXpc18yuzzd5n5J1nGLJfLRzLztz3P+7N58+Y9+eSTT9qZ743GmK9mkbdS6gJmts8Z7CSiu4QQr9JavzWL2P0UAxoMDc6jXqHB6VPPU4N7SX8La6CVUrst2Wg/dHSi1vrc9Mvr+Qh5GGgp5cuFENY8f0FrbWcoM/kEQbDU931vfHz8321ApdRftk3t+WmfgP35iplfIoRoEtH+9pcHe/OQxQN15XL52GazebDdtr7d528nor8wxrwr7byllJ8TQuyntf54m/l5zFwxxnws7dj2+MuXL/cfeeSRh+fOnbt48+bNT2URs83400KIF3ceHGyvvz9Pa/2WtM/BLh9h5gX33Xffb9vMP2mX7hhjPpl27H47PjQYGgwNTnfUDpoG95r+FtZAj42NHdxsNjcw87LR0dHHJyYmrMFZk9XbEfIw0EEQHCiE+LUQwpqJTB9qCoLgdCHEBQsXLlzx8MMPD3meZ2eg/75Wq/0oXQnZ/ehZz0AvWbLk+KGhoet83z+aiHY1Gg1bZ9dorX+Qdt5SylcS0XWNRmPZtm3b/iilvMnOQtdqtW+lHdsePwgC++aRrxtjTsgiXidGEARvEEJ8ZWRk5NWbN29+Wim1hpn/YIy5NO3zGBsbO6LZbP7DwoULj3nwwQfnlUqlnzebzQ9msf467dxcHx8aDA12XVN7Ox40eHA0uNf0t7AGun2Bt6ZuNRENE9HNxpiLshjQnRhSym1ZPkSolPo8M18ghDB2XWb7FWO3Z7Uu1sYnotOY2b42z77e6wtZ8m7ftGS+hEMpZWcfP8TMQ0KIH2qtP5tV3lJK+/CafUjUF0LcpbW2M/72FYapf8rl8juY+e1a6zNTDzYtgJRyJRHZB4TtGvBNu3bt+qh980wW52HX9tpnC5jZs+uhjTFrs4jbjzHaN9bQ4IyeTYAGQ4Oz0om8NLiX9LfQBjqrQkIcEAABEAABEAABEACBwSEAAz04fY1MQQAEQAAEQAAEQAAEHBCAgXYAEYcAARAAARAAARAAARAYHAIw0IPT18gUBEAABEAABEAABEDAAQEYaAcQcQgQAAEQAAEQAAEQAIHBIQADPTh9jUxBAARAAARAAARAAAQcEICBdgARhwABEAABEAABEAABEBgcAjDQg9PXyBQEQAAEQAAEQAAEQMABARhoBxBxCBAAARAAARAAARAAgcEhAAM9OH2NTEEABEAABEAABEAABBwQgIF2ABGHAAEQAAEQAAEQAAEQGBwCMNCD09fIFARAAARAAARAAARAwAEBGGgHEHEIEAABEAABEAABEACBwSEAAz04fY1MQQAEQAAEQAAEQAAEHBCAgXYAEYcAARAAARAAARAAARAYHAIw0IPT18gUBEAABEAABEAABEDAAQEYaAcQcYj+ITA2Nnaw53k7q9Xqrv45a5wpCIAACBSDADS4GP2ILIhgoFEFA0Pg8MMPf/HQ0ND9pVLp0Gq1+p8uE1dKvY2Zf0hEz9Dz44qFEF/VWl/mMg6OBQIgAAL9SiBNDT7qqKPmPfPMM/+LiP5Hm88//vGPf/zI9u3bn+5XXjjv3iYAA93b/YOzc0igXC4fxsz3+75/YAoG+nJmXmiMOcfhKeNQIAACIFAYAmlqsJTy+0KIF/m+f+Yzzzwz5Pv+zUKITVrrlYUBiER6igAMdE91B07GBQGl1OeZ+f1CiBIRjTPzSmPML5RSjxPRvsz8FBG92Rhzr1LqM0T0QWYeJaJ7iehjxpiHly5demij0dgqhFjFzBcLIVrM/HfGmEv3do5Syn8UQtyqtf47FzngGCAAAiDQrwSy1uDFixcf5Pv+75rN5iH333//o5abne32fX+e1vo3/coR593bBGCge7t/cHYRCSilXsfM1wshjtJa75BSXiqEOEVr/SpripvN5rbh4eEDtmzZ8phS6lNEZGeM3+z7/sOTk5OfI6LXG2OOa7f9DTPfMjIy8u4//elPi4joLma+zBizdvppKaV+z8z/VwhxBDM3iejGUqn011hrHbED0RwEQKCvCeShwUqpNzLzN4job4QQnyCiYWb+UalUWgUN7uty6umTh4Hu6e7ByUUloJR6DRHdycz/c2hoaN34+HjVrke2x+kY6M4SDqXUfa1W6/P1ev0f7N+XL1/ub9++/T89z1vhed6OZrP5GyHE4lqt9oD9u1LqImb+c2PMiqnnValU9pmcnLyFiK5j5u8R0SGe59n10P+Enw+j9iDagwAI9DOBPDS4XC6/u9VqfVsI8d25c+d+9Nlnnx1ttVp2CcfdWmv7KyM+IOCcAAy0c6Q4YN4E7AN9RPRRIrJm+j+I6HNa62v2YqDtUo5Ge8aYhBCCmX1mfl+pVNpkl3AYY+wykOc+bZH+rDFmLCzHIAhOF0J82RizOKwt/g4CIAACRSKQtQaXy+V3MPMPiOgg+8ujZWk12PO8K7TWhxeJLXLpHQIw0L3TFzgTBwSCIDiEiA6s1+v/LwiCOZ7nnWFnhoeGhl5mD29nlYeHhxfYJRxSSi2EuEBrfUcntFKq7Pv+NmY+2C738H3/v1er1d/bv0spPyuEOFFr/WdTT1VKaU3yucaYi6Yc5z1E9Fda66UO0sIhQAAEQKAvCOShwUuWLKkMDQ39mplfap9hsaCUUu9k5i9iEqMvyqYvTxIGui+7DSc9EwEp5duJ6H/bZRi1Wk3btXFEdJPv+9ZYDzcaDSuuS+yDJXZJBhGdNjk5eca2bdseUkqdR0RX+L5/ODPPsWbbmu+nn376vH322efwZrP5U2b+dGfJR+ccjjzyyP2effbZ+4nIivVXy+Vy0P75cK3W+kr0FgiAAAgMCoE8NLhtmH9ORA/4vn9us9mcz8y3EtEdWuvPDgp75JktARjobHkjWgYE2jPFH2bm/2YFlYguMsbc3p5FvpmIThZCnKW1vkVKad+w8QEiWkBEutVqfaZer/9L5yFCIvoKM7/bru6w/7/W+m/2loKU8pVEdKUQ4kgimiCiv9daX55BuggBAiAAAj1FIA8NrlQq+09OTlp9fgMR+UT03fnz56/ctGnTZE/BwckUhkBiA62Usj+Rr2bmkhDihplMQxAER3ue969a67mWXvuBrauEEMczc8u+DcG+aqwwZJFIXxOYvl66r5PByReaADS40N07sMlBgwe26/sm8UQGuv3uxY2lUumYarX6hFJqfavVuqJer985lcCiRYtGRkZG7rRmWWs9ZP9WLpc/0Wq1jjTGfFBKaR/Kurn9cJY10/iAQK4EOjPQvu8f4HrTlVwTQ/BCEYAGF6o7kcwUAtBglEOvE0hkoJVS72HmFZ3d15RSZzHzSdYUT01cSrnGvkNXCPHDjoGWUt5FRPaduvfYtvbfQohLtdZ2Mwt8QCBXApj9yBU/gndJABrcJSg06zsC0OC+67KBO+GkBtru0jbPGHOJJaeUOrm969spHZJBELzF87zTtNYfUEq1tNZe2zCPE9GbjDHb2v++nohuN8Z8f+B6AQmDAAiAQAwCSilocAxu+AoIgAAIJCWQyEDbB7CIaGSagb7QGHOqPTH782KpVLrF9/2Tq9XqH6cZaE1Eb5xqoNtbId+YNCl8HwRAAAQGgQA0eBB6GTmCAAj0IoFEBnr6kg37cyIR2ffkntuekbbbJNtXhdm3EthYRxHRv01OTq7wff//CCEu0VpvaM9A3+V53iW1Ws2+imbGT6PR5KGh5yax8QEBEACBvidgN/CJmwQ0OC45fA8EQAAEnicQV4NjC7cNOjY2Zjeb2MDMy0ZHRx+fmJi4jYjWaK3X7a1jps5AK6U+xcxL7Xppu3kFM98xf/58GfbKmUcffZK7vdzYdgsW7Es7d04QP7eZc3YfxAbzrKptEGutSDkfeOD82DoMDZ55lBWpRqJoCfLO9toD3tnyft7wuvV2cTU4tnB3BnR7y+LVdpOK9ps0LpJSrmXmdfV63Rrq//oopZqdhwgrlcrw5OTkNzqvsfM87/xarXZ3mFBYAx3WpvN3C/mAA/alHTvy6WDE7ran3LRDfw9OnRepr1/84vgG2o4caPDe9aNINRJFIZF3tjoI3tny7hhol/4qrgYnNtBRBraLtjDQ4RQxoPt/QIf38gstBrG/i5RzXPGOUiMu20KDw2kWqT7Ds4UWuTRz4B1OwPX4iqvBMNDhfRWrhesOjnISiA0DHaVekrTNq9byittLsx9J+i3Jd2Ggw+kVqT7Ds4WBhoGOUiXJ27oeXzDQe+kT15CjdDtiw8RGqZckbQex1oqUc1zxTlIzSb4LAx1Or0j1GZ4tDDQMdJQqSd7W9fiKq8GYgU7el3s9gusOjnKaiA3zHqVekrTNq9byiosZaCIY6PARU6T6DM8WBhoGOkqVJG/renzlZqCVUmcQ0WpmLgkhbtBaXz4Vj1LqdUT0FWa2W3j/ptFonL1t27Yn2tt7PyqEqHfaa62PJaJZHxKEeIcXn+viCo842AKahqkC89kJFKnG44p3hxA0eO+1UqQagR6EE8irv/OKi+uOuxdExNXgRDPQdqMU3/c3lkqlY6rV6hNKqfWtVuuKer1+Z7vcPaXUA57nvX58fNxIKb8ohLBv4visUuoEZrabrpwWPjReaAEDHU4LAxoz0OFV4qZFXrWWV9w0LlpxxdueCzR45jouUo1EGa3IO1v9B+9sefeSBicy0HbjFGZeYYyxG6bYrbzPYuaT7Ludpwx4O/PcbL+27moi2myM+apS6pPMfKY11MzcEEKs6myqMptYwECHSykGdP8P6PBeHuxZ/yLVeBIDDQ2GgZ5OoEhjox90ELz7/3obV4OTGuhVzDxv2lbeK40xp0wtfCnlUUKInxLRs8x8vDHm4XK5/IlWqzVsjPlyEARHCyFumzNnzhFbtmx5DAY6imzs2RYDuv8HdJQKGMT+LlLOccW7PWkBDZ5hsBSpRqAH4QTy6u+84qYxExtOuZgTN3E1OJGBllJeTEQj0wy0XZZx6t46IgiCjwghzjLGvGb636WUP2bma6ZvvjK9HXYiDC9xO6CxA2M4J5ctwDzbm5Yi8Y67C5atX2jw7DPQ0EGXKhd+rCKNy/Bsn28xiDkXLe+4GpzIQE9fsmF/TiSiE7XW51rACxcufNG8efNe1zHF9t/77LPP740x85VS57RarZ/U6/WH2jMpt7S3AV8/W+E2Gk0eGvK6rW20AwEQAIGeJiCEvQTH+0CD43HDt0AABECgQyCuBscWbht4bGzs4GazuYGZl42Ojj4+MTFht+5eo7VeZ/9+3HHHlSYmJn7XbDZP3rp1a9WaZiI6TWv9ZqXUVUQ0obVeGQTBUs/z1s+dO3ds8+bNT83WrZiBDi963BFnOxtatLvx8Ap7oUVetZZX3DT6Ou7sBzR49kotUo30w5hMY2z0Q96os/6/3sbV4EQG2hZ3EASnCyFWE9EwEd1sjLlISrmWmdfZmecgCE7yPO9K+0sHET3k+/651Wr195VKZf/JyclrhRCHE1GDmc83xvwsbMDgIcIwQs//pIT3UoZzctkCzLMV0SLxjrv+rlO/0OC9j+Qi1UgUrULe0KIo9RK3bZHqLK4GJzbQceHH/R4MdDi5IhV2eLa7z4bixiEKseRt86q1vOJ2Ztlc1llc8U7ee/GOAA0O51ak+gzPdrA1GH2d7Q1LL2kwDHQUdYjQFoOq/wdVhO7GrP+ObPu7SOMLBjrKSOu+bZFqpPus8QvkDmhRlHKJ3bZI4yuuBsNAxy6f2b9YpOKKggh5Z2sk07gb74f+LlKdxRXvKP3ksi1moMNpFqk+w7PFDLTLX6TAO5yA6/EVV4NhoMP7KlYL1x0c5SQQGyY2Sr0kaZtXreUVN40blrjinaTfknwXBjqcXpHqMzxbGGgY6ChVkryt6/EVV4MTG2il1BlEtJqZS0KIG7TWl0/Fo5R6HRF9hZntjoS/aTQaZ2/btu2J5cuX+9u3b79KCHE8M7eI6BxjzC/C0EK8wwjhJ7ysf8JLw1SF9zIuWkW5aMUV704FQIP3PlpcX2QxJsMJDCLzQcy5aNe8uBqcyEAvXrz4IN/3N5ZKpWOq1eoTSqn1rVbrinq9fmd7qHlKqQc8z3v9+Pi4kVJ+0W7drbX+bHsnwiPttt9SyrH2Gzzsf62ZnvEDAw0Rm4kAhGxwZt6L1NdxxduOA2jwzHpYpBoJV/3BvqHO09Chzvr/uhNXgxMZaLtxCjOvMMbY9zvT9Jf6t4e0nXluViqV4cnJyauFEP+mtb5SSnkXEV1mjLnHtrP/FkJcqrW+FwY6ilzu2RYDuv8HdJQKGMT+LlLOccW7rbnQ4BkGS5FqBHoQTiCv/s4rbp43DUWLHVeDkxroVcw8b9pW3iuNMadMLXcp5VFCiJ8S0bPMfLwx5mEp5TgRvckYs61toK8notuNMd+HgQ4Xi9laYEDDQCeroO6/nVet5RU3jQtHXPFuG2hoMAz0bgSKNDa6V6L8li6Cd/9fb+NqcCIDLaW8mIhGphnoC40xp+6t8IMg+IgQ4ixjzGuklJqI3jjVQAshbtVa3xhmoG3BdvOx7RYs2Jd27syngxG7m15y1wb9PTh1XqS+jrsLVnviARo8i4GGBrvT126OVKRx2U2+nRtq1Fm3tNy0c11ncTW4Syu696SnL9mwSzqI6ESt9bn2GwsXLnzRvHnzXmd3JOz8e5999vm9MWa+lPKfhBCXaK03tC8Ed3med0mtVvv5bIgbjSYPDXluegFHAQEQAIGcCQjR7ZTAnicKDc658xAeBECg7wnE1eBEBnpsbOzgZrO5gZmXjY6OPj4xMWGN8hqt9TpL9LjjjitNTEz8rtlsnrx169aqUsqulT5Na/1mpdSnmHmpfYhQKVVm5jvmz58vN23aNIkZ6GT16PruLMrZIPbgzALnOftSpDqLO/th+UODZ1anItUINDicQF79nVfcPPW3aLHjanAiA20hBkFwuhBiNRENt9+kcZGUci0zr7Mzz0EQnOR53pVEZGM95Pv+udVq9ffthwq/0XmNned559dqtbvDhgnewhFGKL+1YJ1BVZTXi4WTfqEF1sFle+NQJN5x1991qg8avPeRWqQayUOLGo0Gbd1ajxL6uR1Z99tvHj322FPE3N1XlywJyPf97hrP0iqv/s4rbpGut1FrzXWdxdXgxAY6cdVHPAAMdDgwDOhszVyRhCy8unZvkVet5RU3jb6OK95R+8pVe2hwOMki1GetNk5n3/QrGj7o0PCEY7bY9Yff0ndOP5bKZfsG22SfvJjnFTcNLYrSAy7zTrvWwuosrgbDQEepmAhtXRZXhLDPNUVsGOioNRO3fV61llfcNMZXXPGO22dJvwcDHU6wCPVpTc2H7t1BI4cE4QnHbPHMQ3Vae8IBMNAx+RWhzmzqaddaWJ3F1WAY6JiFG/a1ohR2WJ7T/468Yd6j1kyc9kWqs7jiHYebi+/AQIdTLEJ9pm1qLMUwYxNO+oUWeTHPK24aN/N58U671sLqLK4Gw0BHqZgIbTGoYCQjlEuipoNYa0XKOa54JyqaBF+GgQ6HV4T6TNvUwECH11FYiyLU2UDPQCulziCi1cxcEkLcoLW+fGqnL1my5BjP874uhHgRMz8thDhPa/3rRYsWjYyMjDwqhPivpxS01scS0ayPHkC8w4YUlnDs2AHzHl4lblrkJeB5xU1j1iepgYYG772Wi1QjUUarq7xhoLuj7op3d9F2b1WU2GnXWk/OQC9evPgg3/c3lkqlY6rV6hNKqfWtVuuKer1+Z6eblVL/TkQftu97llK+XgjxFa31y5VSJzCz3XTltCiFAwMdTqsogyo802KKCfIOJ1CkGk9ioKHBM9dKkWokfES80MJV3mmbGsxAR+nVYt8kpl1rPWmg7cYpzLzCGGPf70zTX+pvn2eTUp5tjPm2/fvY2NiCZrNpjDELlFKfZOYzhRBNZm4IIVZ1NlWZraxgoMMHnSsBtZHyfr1MeLbuLxxRYnbaumQeNX4RYmdRZ5ari1dmueadxEBDg2GgpxNwVZ9pmxoY6KhKv2d7V30d50xcxk671nrVQK9i5nnTtvJeaYw5ZW8dopS6ipl9u3lKuVz+RKvVGjbGfDkIgqOFELfNmTPniC1btjwGAx2nnNMxknm/XiYKCZcDOkpc2xaxky2bSbvObB+Fvcqo2z533dcJDTQ0eIaOc91P3dZHUfQgbVMDAx2lojADnYRWTxpoKeXFRDQyzUDbZRmnTkvWU0r9rd2x0PO8k2u12sR0GFLKHzPzNZ1tv2eCZWegrTB287HtsEd9N6RmbmNF9IP3pPcqI1vYV7/W3WuM0N/J+jvqt12NsbTrrHOxdlFrrnLusI67C5b9PjR45op13U9RxkYRYvfTmOzctOSh/0Xo6yi13WnrMu+0ay3MZ8TV4C6t6N7xTl+yYX9OJKITtdbndr7R3nHwB/Yhwrlz57598+bNT9m/2W29W63WT+r1+kPtf9/S3gZ8/Wyd2Wg0eWjIi9Pf+E4MAtVqlU6/5bepvQvUFvZNbz2UKpVKjLPDV4pCIO066xjoXqw1IbqdEtizt6HBRRkBvZfHII/J3uuNYp9R2rUW5jPianAiAz02NnZws9ncYFB9UtMAACAASURBVGeWR0dHH5+YmLitbYLXdbpbKfUdZp5jjHk3ETWn/O9XEdGE1nplEARLPc9bP3fu3LGOwZ6pXDADHT6QinRnGJ7tCy1c5h0lbp6zH0WJnfYMRMdAF20GGhqMGejpBFzpYD+NyTx10BXvqNecPHN2HTvtWuvJGWgLMQiC04UQq4lomIhuNsZcJKVcy8zrmLk2NDSkicj+37PtAmH7urpKpbLf5OTktUKIw+2zasx8vjHmZ2FFhIcIwwi5XY+b9jq4sLVJ4dnubqAPOGBfwmvsolBL1tbVOtO066xjoF3seuYq5w75JGugocGzG2joQfzx3U9jsmPo8uhv13oQpceKEjvtWgvzGXE1ONEMdJSOdtUWBjqcpMtBlXdhh2cLA+2yv6PwdnnRSrvOimygo/ZZ0vbQ4HCCGJPhjFyOSZda1N2Z47rjssbT1n8Y6Ha9QrzDh3eRCjs8WwiZy/6OwtvlRSttAXV5sXbNO+7sR9S+ctUeGhxO0nWNhEd0r4P9NCZdalEU1nnGLVLstGsNBhoGuutx7VK88y7srpPGq+T6eulK2nUGAx1lJM3eFgY6nKVLDQ6PtnsLV7H7aUzmaSZd8Y7az3nm7Dp22rXWswY67jayy5cv97dv336VEOJ4Zm4R0TnGmF+EFRHEO4wQ1kBjDXR4jbhq4erikbaAFtlAQ4P3Xs2uajPOWClC7H4ak64NXZQ+L0JfR8m309Zl3mnXWk8a6ITbyF7AzEfYTVWklGPtBxDtf62ZnvEDAx1e6kUq7PBsX2jhMu8ocfMU76LETltAi2qgocEzj1ToQfLNjT50b3p7ALgck3nqIOosWZ3Zvktb/3vSQCfZRlZKeRcRXWaMuccCtP8WQlyqtb4XBjqqfdu9vcsBnXdhRyHhMu8ocfMU76LETrvOXF6sXddZkjXQ0GAY6OkEXNVnP43JPHXQFe+o15w8c3YdO+1a61UDHXsbWSnlOBG9yRizrW2gryei240x34eBjjOU0pmJzbuwo5CAkCWfCYjC26WIpl1nBTbQ0OAZihZ6kEwP+mlMutSivDQwatw8c3YdO+1a60kDnWQbWSmlfTf0G6caaCHErVrrG8MMtBXGbj62XR5be3aKqwix837BeTf93GmD/k52wYzC2jXztOusY6CLtpEKNHj2GegiaHDUcelKB/tpTOZ5zXXFO2o/55mz69hp11pPbqSSZBvZ9pKN1VrrDe0Z6Ls8z7ukVqv9fLZCwlbecYZZ/O/kvcVm/DPHN/uJQNp11jHQ2Mp77ts7u71Cg/tphGR/roM8JrOnPdgR0661Im7l/SlmXmofIlRKlZn5jvnz58tNmzZNYgY62WByeUec951hFBIu844S1/Xd+CDGTrvOijoDnXArb2hw1MHWZfsiaFE/jck8NbgIfd1lWe/WzGXeaddaT85AW5oJtvIuTU5OfqPzGjvP886v1Wp3h3Uk3sIRRgivscNr7MJrxFULV+tM014D1zHQ2Mr7uZ5nrfWxlUoFGuxqIEw7jqtxEef0XMXupzHZMdDYyjtOxcT7jqs6s9HTrrWeXAMdD3uyb8FAh/MrUmGHZ/tCC5d5R4mbp3gXJXbaAlpkAx21VpO2hwaHEyyCFvXTmMxTB4vQ1+EVvWcLl3mnXWsw0O3+g3iHl3qRCjs8Wxhol/0dhbfLi1baAgoDHbVnZ24PDQ5niTEZzsjlmHSpRd2dOa47Lms8bf2HgYaB7npcF6mwu04aW3ljK++QYgkT0W5rzeX4sjGTvAe623N22Q4GOpym6xoJj+je0KVtamCgo/Tq3tsWoc5sZmnXWpj2x9XgLl8Il7yjXR0B4h1O0uWgyruww7N1f+GIErPT1iXzqPGLEDvtOnN5sXbNO654R60TV+2hweEkXddIeET3OthPYxIz0Pm8wtTVmvO0a61nDbRS6gwiWs3MJSHEDVrry/c22KWUlwkhmlrrz9m/L1q0aGRkZORRIUS9094+2GIfcJlNLCDe4VLqUrzzLuzwbN1fOKLEhIEmciGiaddZkQ00NLjYs3NR9ciV/vfTmISBhoGebZz0pIFevHjxQb7vbyyVSsdUq9UnlFLrW63WFfV6/c5OMosXLx71ff9KInqnEOKKjoFWSp3AzBcaY06LIhAw0OG0XAmojZS2iIYVdni2MNAu+zsKb5cXrbTrrKgGGho8c8UWYVxEHY+DOiZd5h2VOeosuXlPW//DfEbcXwETLeFQSr2HmVcYY86xRTd9YxX7v0kp30dEBxLRPlNnoJVSn2TmM+3/xswNIcSqzqYqmIGOOoR3b+9yQOdd2FFIuMw7Stw8xbsosdOus6IaaGgwDPR0Aq50sJ/GZJ466Ip31GtOnjm7jp12rfWqgV7FzPOMMZe0DfTJzLzSGHPK9GJQSq1uv3/0uSUcUsrziWiOMebLQRAcLYS4bc6cOUds2bLlMRjoOEMpnZnYvAs7CgkIWfKZgCi8XYpo2nVWYAMNDZ6haKEHyfSgn8akSy3KSwOjxs0zZ9ex0661njTQUsqLiWhkmoG2yzJODTPQ0/8upfwxM19Tr9dvCzPQVhi7+dh2CxbsSzt3JhOSbmLtbRagCLHz3iEoCnv0d//Wedp11jHQV7/2ACqXx6KU1R5tXdfZgQfO71LR9jxtaPDMXem6n6IUTRFi99OY7Bi6PK65RejrKLXdaesy77RrrSd3Ipy+ZMP+nEhEJ2qtzw0z0Eqpc1qt1k/q9fpDtq1S6hYiWqO1Xj9bZzYaTR4a8uL0N74Tg0Dee9THOGV8pQ8JpF1nHQN901sPpUql0lOEhOh2SmDP04YG91RXFupkBnlMFqoj+yCZtGvNGujZtD+uBsee+bB9MjY2dnCz2dzAzMtGR0cfn5iYsLPH1gSv68JAX0VEE1rrlUEQLPU8b/3cuXPHNm/e/NRs/W0fIuz2cuPyDilqDRYldt53hlG4F4V5lJzznHlxGTvtOusY6KLNQEODMQM9nYArHeynMelSiwZRf6Pm7Jp32rXWkzPQFmIQBKcLIez65mEiutkYc5GUci0zr5u6HGP6GuhKpbL/5OTktUKIw4mowcznG2N+FtaReAtHGCEil2v/8l6bFJ7tCy1c5h0lbkdMXLzOLWrcosROu846BnrtCW6WcLjs67hPgHdqBRq891EDPUi2pKufxmSeOog6S1Zntu/SrrWeXAMd52Kf9Dsw0OEEXQ7ovAs7PFsYaJf9HYW3y4tW2nVWZAMdtc+StocGhxPEmAxn5HJMutSi7s4c1x2XNZ62/sNAt+sV4h0+vItU2OHZQshc9ncU3i4vWmkLqMuLtWveSWego/ZZ0vbQ4HCCrmskPKJ7HeynMelSi6KwzjNukWKnXWsw0DDQXY9rl+Kdd2F3nTS5XboSJW6RhCyvvNOuMxjoqD07c3sY6HCWLjU4PNruLVzF7qcxmacGu+IdtZ/zzNl17LRrDQYaBrrr8eVyQOdd2F0nDQNNO3YkX4sWhbdLEU27zmCgo/YsDHQSYi41OOp5uIrdT2PSpRblxTtq3Dxzdh077VrrWQOtlDqDiFYzc0kIcYPW+vK9FYKU8rKpOxEuX77c3759+1VCiOOZuUVE5xhjfhFWRHnNfjQaDdq6tR52ev/1dyti++03jx577Cli7vprtGRJQL7vd/+FvbR0JaD20HkXdhQQLvOOEtelmESts07sqLXmos5c5p12nRXZQA+KBuc1JqPGdTku8ozdT2MyT+ZFuO7kWWe94DPiLqNL9Bq7xYsXH+T7/sZSqXRMtVp9Qim1vtVqXVGv1+/sdMjixYtHfd+/kojeKYS4Qmv93E6E5XL5E61W60hjzAellHZnA/sGD/tfa6Zn/ORloK2YnH3Tr2j4oEPj1FpX39n1h9/Sd04/1slGD67eEpC2iIbdGXYFrt2oCELWT3Xm8qKVdp0V1UAPkgZH0QKXtRk1blFi99OYzJN5Ea47edd42rUW5jNyMdB24xRmXmGMOcd2wPSX+tv/TUr5PiI6kIj2mToDLaW8i4guM8bc0253lxDiUq31vb1qoD907w4aOSSIU2tdfSesk7s6iOOlDHkXdrc55ymgLmOnzdulkRzUvF1fMOOKd1tzB0aDo2iBy9qMGrcosQdVi6L2t2s9iBK/KLHTrrUwbxVXgxPNQCulVjHzvGlbea80xpwyvQimvwdaSjlORG8yxmxrG+jrieh2Y8z3YaCTbzWMGegoMpS8rSshS1tIYKCL9R7oQdLgqKPU1ZiMGhcGuntiYcam+yPl9xA56iz5szdpX/fC6iwXAy2lvJiIRqYZ6AuNMad2YaA1Eb1xqoEWQtyqtb4xzEDbgu3mY9stWLAv7dzppoM/eE/6M9C9tlOaLew08w7bIaibfu60cdnfUeJ2Lpguai1t3h0D7aLOBjVv13V24IHzu1S0PatykDQ4rzEZNa7LcZFn7EHVoqjMXetBlPhFiZ12rYX5jLgaHFu4bSdPX7Jhl3QQ0Yla63O7MNB2ycZqrfWG9gz0XZ7nXVKr1X4+WwE1Gk0eGvKi1JiTtmnv1d4xNrPt1+4kkYgHSTvvsD3qI55u3zdPm/eg1lmv5v282ep2SmDP8h4kDe77wd1nCQyqFvVZNxXidNOutTCfEVeDExnosbGxg5vN5gZmXjY6Ovr4xMTEbUS0Rmu9LsxAK6U+xcxL7UOESqkyM98xf/58uWnTpsnZKsI+RNjt5cbl3Vnad0guZwb7Ke+wO8Mo6uAy7yhxXc449VOdDWreruss7uyH5T9IGpzXmIwa1+W4yDP2oGpRVOau9SBK/KLETrvWwnxGXA1OZKBtRwdBcLqdSSai4fabNC6SUq5l5nX1et0a6uc+09dAVyqV4cnJyW90XmPned75tVrt7rDiyfMtHHiIMKx3ov89bG1SlCMWYS1a2mvBOjdqa09Ivha4YxRcrLfvp7xd11nc9XedsTEoGhxFC1zWZtS4RYndT2MyT+au9SBKvRUldtq1FuYz4mpwYgMdpbNdtIWBDqfoclDlXdjh2b7QwmXeUeK6FO+0ecNAJ79xcF1nccU7ao26ap+XBkc9f9f9FCV+EWIPqhZF6WeX2h81bpFip11rMNDt6spLvNPuYJfGxqV4p513WGFHERWXeUeJ61LI0ubtss4GNW/XdQYDHXW0ddfedT91F/X5VkWIPahaFKWfi9LXUXN2nXfatRbmM+JqMGagu6yctDvYpbFxKd5p5x1W2F12Dy5aEUD1IvO066xXx5c9r7jiHaHLnTbNaxIjahIudTCv2HnuTNpPY9K1oYvS30WoM5tv1FqzeUfdAdfG2dsuuGnXWtg1L64Gw0B3OVLS7uBevcCnnfdshZ3FgMaW1l0OgBmaubp4pF1ns42vLOpspgsHDHSy+pvt265qM84Zuoptx0VeO+DmOSbzZB41tqu+jhrX9U1DkWutZw20UuoMIlrNzCUhxA1a68unFkK5XF7YarVuEEIcxMyPCCHepbXesWjRopGRkZFHhRD1Tnut9bFExLMVUl6zH/0kJi4HdNp5z1bYaQ9oV1unuxSytHm7vFErSt5p15nlNFutxZ396OjkoGhwVIPhUgfzip2nHuQZOypvl1oUNXYR6szmnGd/px27Jw304sWLD/J9f2OpVDqmWq0+oZRa32q1rqjX63d2ilBK+WMhxE1a6xuCIHi/53lv0FqfqZQ6gZntpiunRSlYGOhwWi4HdJ6FnWfscMq7t3DFPO2cYaD3fIgwb+ZJDPQgaXBeYzJqXJdmLs/azDN2nsyjxnal/VHjuqwzGOh4m1klWsJhN05h5hXGmHNsB0x/qf/y5cv9Rx55ZIfWegERNYloSCm10/5bKXU+M58phGgyc0MIsaqzqQpmoLGVdxYDOuyuNIqguRLRQb1o5Zl3nrFtjSUx0IOkwVkstcGSrhdUL+9xEUV/XZrJLOrMnq+LWnN13cniejvb5E3atRZ2rY+rwUkN9CpmnjdtK++VxphTLCw7O1IqlX6ptX5pZzAopR70ff+VzWbzna1Wa9gY8+UgCI4WQtw2Z86cI7Zs2fIYDDQMdBYDOmxQRRFwV0KWtpBgBrpYM9BKqYHS4DTXA2NJ1+7XnUHWojTrzGqwq1pzdd3J4noLAz3NUUgpLyaikWkG2i7LONU2tbtktVqtjdMM9O8ajcax999//6NTD2eXejDzNVM3X9mbgcFOhOG2zg6qBQv2pZ07J4hnXVEefiwroh+8ZweNHBKEN47RYrYdgvKMHTUVV8zTzrkjYle/Nvn7kDuzPi5qLc+884xtGcbdBct+FxocdaTO3D5st7IokYqgB3mPiyi8i6JFeeXcMdBpXutnu/akXWthYzuuBiedgT6LmU+y23FbOPbnRCI6UWt9rv33lCUc+xNRq72Ewy7pOEAp9b5Wq/WTer3+UPu7t7S3AV8/WxE1Gk0eGvKi1lni9mnv1d4prpveeihVKpXE5+vqAGnnPdse9XnGdsUv6nHSznlQ62y2vPNmLoS1W/E+05fNQYPjcQwbF/Znfa11/IN38U2lFPm+v1vLPGszz9hd4EqtSZ55Z1Fnbb81ULU2m894/uYrngbHFm4b1M4wN5vNDcy8bHR09PGJiQm7dfcarfW6TnVLKdcJIX6ktb5eSnk2Eb3NPjiolLqKiCa01iuDIFjqed76uXPnjm3evPmp2UYGZqDDdcPV7EcWd6WYgd69P9O+E59tFiC8svZs4arW8sw7z9iWaNzZD2hwnIqd+TthWvTeH/2Khg861G3Q9tHsT/rXveNYKpf3XEZR1FlBaNHel5OlWWeW+SDWWk/OQNvOCILgdCHEaiIaJqKbjTEXSSnXMvM6uxwjCIJDPM+7logOJqKdrVbr3XbWuVKp7D85OXmtEOJw+w5vZj7fGPOzMHXCWzjCCLndBSvtdXBhr7H70L3pLh9Ze4K7pQwHHLAv7diRbNlM2rw7Fy3k/cI4ypt53AdYOhlkrcE/+9nGrheGFWWzhbRrZCYdTDvubHqQZ+yoD/I9P4sYfWOPPDb16FXmefZ32rHDnneKq8GJZqDDrZz7FkUVb5fGpp8eLOhFAz2o4h1ntLqqtbQFtFcvWva84op3nP5y8Z2XfWINpzUT25kh+87pe5+NzeuGOu36hIHec+Y9rwf50u7rXtWiIucNA91W/qKKNwz0nm8eSXtAz3bRGkTxjmOuYKC7ozabgPebgVZfuJ3Teqg4T3PRizfzaWtgnrwRu7feCFTkWoOBbl+niires4lJ1BnROD9l2fh5/JyFi1bvvDoqap3hZ9PuzHPYzTEM9O4c85qNhRb1jhYV2czhxiH7GwcY6AE20FZMijojiotWb120ilpnvXrR6sclHEWdxIAW9ZYWpblcp1f1ADcO6b0ud7bnfuJOYiReA62UOoOIVjNzSQhxg9b68qnzCeVyeWGr1bpBCHEQMz8ihHiX1nqHfcXd9u3brxJCHM/M9hV35xhjfhE2p1NU8R7UAY2LFi5atvYH9cLhwkBDg8OuGt39HVoELRpkLSqyBvfkDLTdadD3/Y2lUumYarX6hFJqfavVuqJer9/ZkSy7QYoQ4iat9Q1BELzf87w3aK3PVEpdwMxH2HdISyntyLVv8LD/tWZ6xg8MdHcXg6it8LPpC8SKLCSDeqPWq3knNdDQ4KhKN3N7GGgYaBjo9N56lacG96SBti/tZ+YVxphzLJzpL/WfspHKAiJqtjdS2am1XiCl/AkRXWaMucd+V0p5lxDiUq31vTDQgyNkuGgNTl/nKaC9GjupgYYGw0AnJZDX5EmvjklMoKSzjCLP/u5VA72KmedN28p7pTHmFAvLzo6USqVfTtvK+0HP85Y1m81/JqI3GWO2tQ309UR0uzHm+zDQg2OqYKAHp6/zFNBeje3AQEODkzrI9vehRdAizEBjBjqKnCRaAy2lvJiIRqYZ6AuNMafak7A7FbZarY3TDXSj0ThuaGjIzjy/caqBFkLcqrW+cbYEsniN3Uw7QuW5Q1BRY8+0K1JHyNLMe7YdmdKMa3ND7D0v1oPI3NZCkp0IocFRLnezt4UWYUxmcd2B/u/9He9p6v9sYzuJBicy0NOXbNifE4noRK31ufakpizh2L+9tnlIKbVDa32AlPKnQohLtNYbOks4PM+7pFar/dydJOJIIAACIFBcAtDg4vYtMgMBEOhtAokMtJ1hbjabG5h52ejo6OMTExO3EdEarfW6TtpSynVCiB9pra+XUp5NRG8zxpymlPoUMy+1DxEqpcrMfMf8+fPlpk2bJnsbGc4OBEAABHqDADS4N/oBZwECIDB4BBIZaIsrCILThRCriWi4/SaNi6SUa5l5Xb1evy0IgkM8z7uWiA4mop2tVuvd9Xr9oUqlMjw5OfmNzmvsPM87v1ar3T14XYCMQQAEQCA+AWhwfHb4JgiAAAjEJZDYQMcNjO+BAAiAAAiAAAiAAAiAQD8SgIHux17DOYMACIAACIAACIAACORGAAY6N/QIDAIgAAIgAAIgAAIg0I8EYKD7sddwziAAAiAAAiAAAiAAArkRgIHODT0CgwAIgAAIgAAIgAAI9COBQhtopdQZRLSamUtCiBu01pdn1UlBEMwXQtzbaDTevG3btgezitt+PeD7iYiJ6JcLFy788N13393IIr6U8ktCiLcwc0sI8S2t9deyiDs1hlLqy0S0QGv9gaxiK6W+x8xHCyGebse8bOqrHNM8jyAI3mLfgiOEeBEz/9QYc0Ga8TrHllJ+WAjxkXadCWY+tL0Rkn1VZeqf9jvnL2JmFkLcobX+TOpB2wGUUjbu+4QQf2LmHxhjvphV7H6LAw2GBmdRs9BgGhgN7iX9LayBttuI+76/sVQqHVOtVp9QSq1vtVpX1Ov1O9Me0EEQvEoI8U0hhJycnJRZGWil1CuY+epdu3Yte+CBB/4kpbzO87xf1Wq1v007ZynlqUKIz2itVxx22GFzhoeH7/N9/8/vu+++etqxO8dXSp1MRN8jotuyNNBSSrNr165XPvDAA49nlauNo5R6GRHd43neK8bHxx9VSv0zEX1Ja31HluexdOnSoNlsrvd9/zXVavX3acdetGjRyMjIyENDQ0NyfHz8MaWU3Xzpr7TWNv9UP7bGmPlrpVLp1dVq9Skp5c1CiGu11jenGrgPDw4NhgZnVbbQ4MHQ4F7T38IaaDtDxcwrjDHntM3GWcx8kt24Je1BLaW8xs7AMvP1jUZjeVYGesmSJUs8zzvYGGO3SScp5YVEtNAYY/+bxWeIiJpLly49tNls/sy+47tWq23PInClUtm/0WjcLoT4PjMflZWBbse9n4juZeaXCiFu0lp/Louc7a8Ntn+11p+28SqVyks8z3t2y5Ytj2URf8qNi91V9Du1Wu27WcStVCr7TE5OPthqtY5qNBr/MTw8fG+r1fr41q1b/zXt+FJKy/pAY8yqtq6cR0TLtNbvSzt2vx0fGgwNzqJmocHPTaYMhAb3mv4W2UCvYuZ5xphL2hc6O3O00hhzShaDum1gf9NoNE7KykBPzevwww9/8dDQ0EYiem/HUGeRt1LKLpOxxu4HWZnYNusbPc9b02q17FKCk7KKLaUcI6JLd+3a9eFms/nsyMiI3Y3zemPMt9PmLaVcQ0TPElFZCGE3KrpVa/3Xacedenwp5WuFEF/XWr8847gfE0JcwcxPCSH+RWv9jiziK6VeR0RXDg8Pr5iYmHhmeHj4x0QkstSVLPJ0EUMpBQ2GBrsopVmPAQ0eHA3uNf0trIGWUl5MRCPTDPSFxphTUx/R7QBSylwMdLlcPoyZrZGz676/lFW+nTjtn9hvE0J8T2t9ddrxlVL2V4WynYm128VnaaCn56aUehsRvScLQ6eU+iYRneB53msbjcYfPc+7hZm/a4y5Lm3mU2afv8vMP8kyZrlcPpKZv+153p/NmzfvySeffNLOfG80xnw1i7yVUhcws33OYCcR3SWEeJXW+q1ZxO6nGNBgaHAe9QoNTp96nhrcS/pbWAOtlNptyUb7oaMTtdbnpl9ez0fIw0BLKV8uhLDm+QtaaztDmcknCIKlvu974+Pj/24DKqX+sm1qz0/7BOzPV8z8EiFEk4j2t7882JuHLB6oK5fLxzabzYPttvXtPn87Ef2FMeZdaectpfycEGI/rfXH28zPY+aKMeZjace2x1++fLn/yCOPPDx37tzFmzdvfiqLmG3GnxZCvLjz4GB7/f15Wuu3pH0OdvkIMy+47777fttm/km7dMcY88m0Y/fb8aHB0GBocLqjdtA0uNf0t7AGemxs7OBms7mBmZeNjo4+PjExYQ3OmqzejpCHgQ6C4EAhxK+FENZMZPpQUxAEpwshLli4cOGKhx9+eMjzPDsD/fe1Wu1H6UrI7kfPegZ6yZIlxw8NDV3n+/7RRLSr0WjYOrtGa/2DtPOWUr6SiK5rNBrLtm3b9kcp5U12FrpWq30r7dj2+EEQ2DePfN0Yc0IW8ToxgiB4gxDiKyMjI6/evHnz00qpNcz8B2PMpWmfx9jY2BHNZvMfFi5ceMyDDz44r1Qq/bzZbH4wi/XXaefm+vjQYGiw65ra2/GgwYOjwb2mv4U10O0LvDV1q4lomIhuNsZclMWA7sSQUm7L8iFCpdTnmfkCIYSx6zLbrxi7Pat1sTY+EZ3GzPa1efb1Xl/Iknf7piXzJRxKKTv7+CFmHhJC/FBr/dms8pZS2ofX7EOivhDiLq21nfG3rzBM/VMul9/BzG/XWp+ZerBpAaSUK4nIPiBs14Bv2rVr10ftm2eyOA+7ttc+W8DMnl0PbYxZm0XcfozRvrGGBmf0bAI0GBqclU7kpcG9pL+FNtBZFRLigAAIgAAIgAAIgAAIDA4BGOjB6WtkCgIgAAIgAAIgAAIg4IAADLQDiDgECIAACIAACIAACIDA4BCAgR6cvkamIAACIAACIAACIAACDgjAQDuAiEOAAAiAAAiAAAiAAAgMDgEY6MHpa2QKAiAAAiAA0yx5+gAAAN1JREFUAiAAAiDggAAMtAOIOAQIgAAIgAAIgAAIgMDgEICBHpy+RqYgAAIgAAIgAAIgAAIOCMBAO4CIQ4AACIAACIAACIAACAwOARjowelrZAoCIAACIAACIAACIOCAAAy0A4g4BAiAAAiAAAiAAAiAwOAQgIEenL5GpiAAAiAAAiAAAiAAAg4IwEA7gIhDgAAIgAAIgAAIgAAIDA4BGOjB6WtkCgIgAAIgAAIgAAIg4IAADLQDiDgECIAACIAACIAACIDA4BCAgR6cvkamIAACIAACIAACIAACDgj8fz1CbzQFpbe/AAAAAElFTkSuQmCC\">"
-      ],
-      "text/plain": [
-       "<IPython.core.display.HTML object>"
+       "<matplotlib.figure.Figure at 0x1cf13243c18>"
       ]
      },
      "metadata": {},
@@ -16115,15 +5419,14 @@
    ],
    "source": [
     "with figsize(y=5.5):\n",
-    "    with interactive_plot():\n",
-    "        measurements = [0, 1, 0, 1, 0, 0]\n",
-    "        for i, m in enumerate(measurements):\n",
-    "            likelihood = lh_hallway(hallway, z=m, z_prob=.75)\n",
-    "            posterior = update(likelihood, prior)\n",
-    "            prior = predict(posterior, 1, kernel)\n",
-    "            plt.subplot(3, 2, i+1)\n",
-    "            bp.bar_plot(posterior, ylim=(0, .4), title='step {}'.format(i+1))\n",
-    "        plt.tight_layout()"
+    "    measurements = [0, 1, 0, 1, 0, 0]\n",
+    "    for i, m in enumerate(measurements):\n",
+    "        likelihood = lh_hallway(hallway, z=m, z_prob=.75)\n",
+    "        posterior = update(likelihood, prior)\n",
+    "        prior = predict(posterior, 1, kernel)\n",
+    "        plt.subplot(3, 2, i+1)\n",
+    "        bp.bar_plot(posterior, ylim=(0, .4), title='step {}'.format(i+1))\n",
+    "    plt.tight_layout()"
    ]
   },
   {
@@ -16287,782 +5590,6 @@
     "scrolled": false
    },
    "outputs": [
-    {
-     "data": {
-      "application/javascript": [
-       "/* Put everything inside the global mpl namespace */\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('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",
-       "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 = $('<div/>');\n",
-       "    this._root_extra_style(this.root)\n",
-       "    this.root.attr('style', 'display: inline-block');\n",
-       "\n",
-       "    $(parent_element).append(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",
-       "            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",
-       "        this.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 = $(\n",
-       "        '<div class=\"ui-dialog-titlebar ui-widget-header ui-corner-all ' +\n",
-       "        'ui-helper-clearfix\"/>');\n",
-       "    var titletext = $(\n",
-       "        '<div class=\"ui-dialog-title\" style=\"width: 100%; ' +\n",
-       "        'text-align: center; padding: 3px;\"/>');\n",
-       "    titlebar.append(titletext)\n",
-       "    this.root.append(titlebar);\n",
-       "    this.header = titletext[0];\n",
-       "}\n",
-       "\n",
-       "\n",
-       "\n",
-       "mpl.figure.prototype._canvas_extra_style = function(canvas_div) {\n",
-       "\n",
-       "}\n",
-       "\n",
-       "\n",
-       "mpl.figure.prototype._root_extra_style = function(canvas_div) {\n",
-       "\n",
-       "}\n",
-       "\n",
-       "mpl.figure.prototype._init_canvas = function() {\n",
-       "    var fig = this;\n",
-       "\n",
-       "    var canvas_div = $('<div/>');\n",
-       "\n",
-       "    canvas_div.attr('style', 'position: relative; clear: both; outline: 0');\n",
-       "\n",
-       "    function canvas_keyboard_event(event) {\n",
-       "        return fig.key_event(event, event['data']);\n",
-       "    }\n",
-       "\n",
-       "    canvas_div.keydown('key_press', canvas_keyboard_event);\n",
-       "    canvas_div.keyup('key_release', canvas_keyboard_event);\n",
-       "    this.canvas_div = canvas_div\n",
-       "    this._canvas_extra_style(canvas_div)\n",
-       "    this.root.append(canvas_div);\n",
-       "\n",
-       "    var canvas = $('<canvas/>');\n",
-       "    canvas.addClass('mpl-canvas');\n",
-       "    canvas.attr('style', \"left: 0; top: 0; z-index: 0; outline: 0\")\n",
-       "\n",
-       "    this.canvas = canvas[0];\n",
-       "    this.context = canvas[0].getContext(\"2d\");\n",
-       "\n",
-       "    var rubberband = $('<canvas/>');\n",
-       "    rubberband.attr('style', \"position: absolute; left: 0; top: 0; z-index: 1;\")\n",
-       "\n",
-       "    var pass_mouse_events = true;\n",
-       "\n",
-       "    canvas_div.resizable({\n",
-       "        start: function(event, ui) {\n",
-       "            pass_mouse_events = false;\n",
-       "        },\n",
-       "        resize: function(event, ui) {\n",
-       "            fig.request_resize(ui.size.width, ui.size.height);\n",
-       "        },\n",
-       "        stop: function(event, ui) {\n",
-       "            pass_mouse_events = true;\n",
-       "            fig.request_resize(ui.size.width, ui.size.height);\n",
-       "        },\n",
-       "    });\n",
-       "\n",
-       "    function mouse_event_fn(event) {\n",
-       "        if (pass_mouse_events)\n",
-       "            return fig.mouse_event(event, event['data']);\n",
-       "    }\n",
-       "\n",
-       "    rubberband.mousedown('button_press', mouse_event_fn);\n",
-       "    rubberband.mouseup('button_release', mouse_event_fn);\n",
-       "    // Throttle sequential mouse events to 1 every 20ms.\n",
-       "    rubberband.mousemove('motion_notify', mouse_event_fn);\n",
-       "\n",
-       "    rubberband.mouseenter('figure_enter', mouse_event_fn);\n",
-       "    rubberband.mouseleave('figure_leave', mouse_event_fn);\n",
-       "\n",
-       "    canvas_div.on(\"wheel\", function (event) {\n",
-       "        event = event.originalEvent;\n",
-       "        event['data'] = 'scroll'\n",
-       "        if (event.deltaY < 0) {\n",
-       "            event.step = 1;\n",
-       "        } else {\n",
-       "            event.step = -1;\n",
-       "        }\n",
-       "        mouse_event_fn(event);\n",
-       "    });\n",
-       "\n",
-       "    canvas_div.append(canvas);\n",
-       "    canvas_div.append(rubberband);\n",
-       "\n",
-       "    this.rubberband = rubberband;\n",
-       "    this.rubberband_canvas = rubberband[0];\n",
-       "    this.rubberband_context = rubberband[0].getContext(\"2d\");\n",
-       "    this.rubberband_context.strokeStyle = \"#000000\";\n",
-       "\n",
-       "    this._resize_canvas = function(width, height) {\n",
-       "        // Keep the size of the canvas, canvas container, and rubber band\n",
-       "        // canvas in synch.\n",
-       "        canvas_div.css('width', width)\n",
-       "        canvas_div.css('height', height)\n",
-       "\n",
-       "        canvas.attr('width', width);\n",
-       "        canvas.attr('height', height);\n",
-       "\n",
-       "        rubberband.attr('width', width);\n",
-       "        rubberband.attr('height', height);\n",
-       "    }\n",
-       "\n",
-       "    // Set the figure to an initial 600x600px, this will subsequently be updated\n",
-       "    // upon first draw.\n",
-       "    this._resize_canvas(600, 600);\n",
-       "\n",
-       "    // Disable right mouse context menu.\n",
-       "    $(this.rubberband_canvas).bind(\"contextmenu\",function(e){\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 nav_element = $('<div/>')\n",
-       "    nav_element.attr('style', 'width: 100%');\n",
-       "    this.root.append(nav_element);\n",
-       "\n",
-       "    // Define a callback function for later on.\n",
-       "    function toolbar_event(event) {\n",
-       "        return fig.toolbar_button_onclick(event['data']);\n",
-       "    }\n",
-       "    function toolbar_mouse_event(event) {\n",
-       "        return fig.toolbar_button_onmouseover(event['data']);\n",
-       "    }\n",
-       "\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",
-       "            // put a spacer in here.\n",
-       "            continue;\n",
-       "        }\n",
-       "        var button = $('<button/>');\n",
-       "        button.addClass('ui-button ui-widget ui-state-default ui-corner-all ' +\n",
-       "                        'ui-button-icon-only');\n",
-       "        button.attr('role', 'button');\n",
-       "        button.attr('aria-disabled', 'false');\n",
-       "        button.click(method_name, toolbar_event);\n",
-       "        button.mouseover(tooltip, toolbar_mouse_event);\n",
-       "\n",
-       "        var icon_img = $('<span/>');\n",
-       "        icon_img.addClass('ui-button-icon-primary ui-icon');\n",
-       "        icon_img.addClass(image);\n",
-       "        icon_img.addClass('ui-corner-all');\n",
-       "\n",
-       "        var tooltip_span = $('<span/>');\n",
-       "        tooltip_span.addClass('ui-button-text');\n",
-       "        tooltip_span.html(tooltip);\n",
-       "\n",
-       "        button.append(icon_img);\n",
-       "        button.append(tooltip_span);\n",
-       "\n",
-       "        nav_element.append(button);\n",
-       "    }\n",
-       "\n",
-       "    var fmt_picker_span = $('<span/>');\n",
-       "\n",
-       "    var fmt_picker = $('<select/>');\n",
-       "    fmt_picker.addClass('mpl-toolbar-option ui-widget ui-widget-content');\n",
-       "    fmt_picker_span.append(fmt_picker);\n",
-       "    nav_element.append(fmt_picker_span);\n",
-       "    this.format_dropdown = fmt_picker[0];\n",
-       "\n",
-       "    for (var ind in mpl.extensions) {\n",
-       "        var fmt = mpl.extensions[ind];\n",
-       "        var option = $(\n",
-       "            '<option/>', {selected: fmt === mpl.default_extension}).html(fmt);\n",
-       "        fmt_picker.append(option)\n",
-       "    }\n",
-       "\n",
-       "    // Add hover states to the ui-buttons\n",
-       "    $( \".ui-button\" ).hover(\n",
-       "        function() { $(this).addClass(\"ui-state-hover\");},\n",
-       "        function() { $(this).removeClass(\"ui-state-hover\");}\n",
-       "    );\n",
-       "\n",
-       "    var status_bar = $('<span class=\"mpl-message\"/>');\n",
-       "    nav_element.append(status_bar);\n",
-       "    this.message = status_bar[0];\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",
-       "\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",
-       "\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]);\n",
-       "        fig.send_message(\"refresh\", {});\n",
-       "    };\n",
-       "}\n",
-       "\n",
-       "mpl.figure.prototype.handle_rubberband = function(fig, msg) {\n",
-       "    var x0 = msg['x0'];\n",
-       "    var y0 = fig.canvas.height - msg['y0'];\n",
-       "    var x1 = msg['x1'];\n",
-       "    var y1 = fig.canvas.height - msg['y1'];\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, 0, fig.canvas.width, fig.canvas.height);\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",
-       "    {\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.updated_canvas_event = function() {\n",
-       "    // Called whenever the canvas gets updated.\n",
-       "    this.send_message(\"ack\", {});\n",
-       "}\n",
-       "\n",
-       "// A function to construct a web socket function for onmessage handling.\n",
-       "// Called in the figure constructor.\n",
-       "mpl.figure.prototype._make_on_message_function = function(fig) {\n",
-       "    return function socket_on_message(evt) {\n",
-       "        if (evt.data instanceof Blob) {\n",
-       "            /* FIXME: We get \"Resource interpreted as Image but\n",
-       "             * transferred with MIME type text/plain:\" errors on\n",
-       "             * Chrome.  But how to set the MIME type?  It doesn't seem\n",
-       "             * to be part of the websocket stream */\n",
-       "            evt.data.type = \"image/png\";\n",
-       "\n",
-       "            /* Free the memory for the previous frames */\n",
-       "            if (fig.imageObj.src) {\n",
-       "                (window.URL || window.webkitURL).revokeObjectURL(\n",
-       "                    fig.imageObj.src);\n",
-       "            }\n",
-       "\n",
-       "            fig.imageObj.src = (window.URL || window.webkitURL).createObjectURL(\n",
-       "                evt.data);\n",
-       "            fig.updated_canvas_event();\n",
-       "            fig.waiting = false;\n",
-       "            return;\n",
-       "        }\n",
-       "        else if (typeof evt.data === 'string' && evt.data.slice(0, 21) == \"data:image/png;base64\") {\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(\"No handler for the '\" + msg_type + \"' message type: \", msg);\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(\"Exception inside the 'handler_\" + msg_type + \"' callback:\", e, e.stack, msg);\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",
-       "    if (e.target)\n",
-       "        targ = e.target;\n",
-       "    else if (e.srcElement)\n",
-       "        targ = e.srcElement;\n",
-       "    if (targ.nodeType == 3) // defeat Safari bug\n",
-       "        targ = targ.parentNode;\n",
-       "\n",
-       "    // jQuery normalizes the pageX and pageY\n",
-       "    // pageX,Y are the mouse positions relative to the document\n",
-       "    // offset() returns the position of the element relative to the document\n",
-       "    var x = e.pageX - $(targ).offset().left;\n",
-       "    var y = e.pageY - $(targ).offset().top;\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",
-       "    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",
-       "    {\n",
-       "        this.canvas.focus();\n",
-       "        this.canvas_div.focus();\n",
-       "    }\n",
-       "\n",
-       "    var x = canvas_pos.x;\n",
-       "    var y = canvas_pos.y;\n",
-       "\n",
-       "    this.send_message(name, {x: x, y: y, button: event.button,\n",
-       "                             step: event.step,\n",
-       "                             guiEvent: simpleKeys(event)});\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",
-       "\n",
-       "    // Prevent repeat events\n",
-       "    if (name == 'key_press')\n",
-       "    {\n",
-       "        if (event.which === this._key)\n",
-       "            return;\n",
-       "        else\n",
-       "            this._key = event.which;\n",
-       "    }\n",
-       "    if (name == 'key_release')\n",
-       "        this._key = null;\n",
-       "\n",
-       "    var value = '';\n",
-       "    if (event.ctrlKey && event.which != 17)\n",
-       "        value += \"ctrl+\";\n",
-       "    if (event.altKey && event.which != 18)\n",
-       "        value += \"alt+\";\n",
-       "    if (event.shiftKey && event.which != 16)\n",
-       "        value += \"shift+\";\n",
-       "\n",
-       "    value += 'k';\n",
-       "    value += event.which.toString();\n",
-       "\n",
-       "    this._key_event_extra(event, name);\n",
-       "\n",
-       "    this.send_message(name, {key: value,\n",
-       "                             guiEvent: simpleKeys(event)});\n",
-       "    return false;\n",
-       "}\n",
-       "\n",
-       "mpl.figure.prototype.toolbar_button_onclick = function(name) {\n",
-       "    if (name == 'download') {\n",
-       "        this.handle_save(this, null);\n",
-       "    } else {\n",
-       "        this.send_message(\"toolbar_button\", {name: name});\n",
-       "    }\n",
-       "};\n",
-       "\n",
-       "mpl.figure.prototype.toolbar_button_onmouseover = function(tooltip) {\n",
-       "    this.message.textContent = tooltip;\n",
-       "};\n",
-       "mpl.toolbar_items = [[\"Home\", \"Reset original view\", \"fa fa-home icon-home\", \"home\"], [\"Back\", \"Back to  previous view\", \"fa fa-arrow-left icon-arrow-left\", \"back\"], [\"Forward\", \"Forward to next view\", \"fa fa-arrow-right icon-arrow-right\", \"forward\"], [\"\", \"\", \"\", \"\"], [\"Pan\", \"Pan axes with left mouse, zoom with right\", \"fa fa-arrows icon-move\", \"pan\"], [\"Zoom\", \"Zoom to rectangle\", \"fa fa-square-o icon-check-empty\", \"zoom\"], [\"\", \"\", \"\", \"\"], [\"Download\", \"Download plot\", \"fa fa-floppy-o icon-save\", \"download\"]];\n",
-       "\n",
-       "mpl.extensions = [\"eps\", \"jpeg\", \"pdf\", \"png\", \"ps\", \"raw\", \"svg\", \"tif\"];\n",
-       "\n",
-       "mpl.default_extension = \"png\";var comm_websocket_adapter = function(comm) {\n",
-       "    // Create a \"websocket\"-like object which calls the given IPython comm\n",
-       "    // object with the appropriate methods. Currently this is a non binary\n",
-       "    // socket, so there is still some room for performance tuning.\n",
-       "    var ws = {};\n",
-       "\n",
-       "    ws.close = function() {\n",
-       "        comm.close()\n",
-       "    };\n",
-       "    ws.send = function(m) {\n",
-       "        //console.log('sending', m);\n",
-       "        comm.send(m);\n",
-       "    };\n",
-       "    // Register the callback with on_msg.\n",
-       "    comm.on_msg(function(msg) {\n",
-       "        //console.log('receiving', msg['content']['data'], msg);\n",
-       "        // Pass the mpl event to the overriden (by mpl) onmessage function.\n",
-       "        ws.onmessage(msg['content']['data'])\n",
-       "    });\n",
-       "    return ws;\n",
-       "}\n",
-       "\n",
-       "mpl.mpl_figure_comm = function(comm, msg) {\n",
-       "    // This is the function which gets called when the mpl process\n",
-       "    // starts-up an IPython Comm through the \"matplotlib\" channel.\n",
-       "\n",
-       "    var id = msg.content.data.id;\n",
-       "    // Get hold of the div created by the display call when the Comm\n",
-       "    // socket was opened in Python.\n",
-       "    var element = $(\"#\" + id);\n",
-       "    var ws_proxy = comm_websocket_adapter(comm)\n",
-       "\n",
-       "    function ondownload(figure, format) {\n",
-       "        window.open(figure.imageObj.src);\n",
-       "    }\n",
-       "\n",
-       "    var fig = new mpl.figure(id, ws_proxy,\n",
-       "                           ondownload,\n",
-       "                           element.get(0));\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.get(0);\n",
-       "    fig.cell_info = mpl.find_output_cell(\"<div id='\" + id + \"'></div>\");\n",
-       "    if (!fig.cell_info) {\n",
-       "        console.error(\"Failed to find cell for figure\", id, fig);\n",
-       "        return;\n",
-       "    }\n",
-       "\n",
-       "    var output_index = fig.cell_info[2]\n",
-       "    var cell = fig.cell_info[0];\n",
-       "\n",
-       "};\n",
-       "\n",
-       "mpl.figure.prototype.handle_close = function(fig, msg) {\n",
-       "    fig.root.unbind('remove')\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).html('<img src=\"' + dataURL + '\">');\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 dataURL = this.canvas.toDataURL();\n",
-       "    this.cell_info[1]['text/html'] = '<img src=\"' + dataURL + '\">';\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 () { fig.push_to_output() }, 1000);\n",
-       "}\n",
-       "\n",
-       "mpl.figure.prototype._init_toolbar = function() {\n",
-       "    var fig = this;\n",
-       "\n",
-       "    var nav_element = $('<div/>')\n",
-       "    nav_element.attr('style', 'width: 100%');\n",
-       "    this.root.append(nav_element);\n",
-       "\n",
-       "    // Define a callback function for later on.\n",
-       "    function toolbar_event(event) {\n",
-       "        return fig.toolbar_button_onclick(event['data']);\n",
-       "    }\n",
-       "    function toolbar_mouse_event(event) {\n",
-       "        return fig.toolbar_button_onmouseover(event['data']);\n",
-       "    }\n",
-       "\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) { continue; };\n",
-       "\n",
-       "        var button = $('<button class=\"btn btn-default\" href=\"#\" title=\"' + name + '\"><i class=\"fa ' + image + ' fa-lg\"></i></button>');\n",
-       "        button.click(method_name, toolbar_event);\n",
-       "        button.mouseover(tooltip, toolbar_mouse_event);\n",
-       "        nav_element.append(button);\n",
-       "    }\n",
-       "\n",
-       "    // Add the status bar.\n",
-       "    var status_bar = $('<span class=\"mpl-message\" style=\"text-align:right; float: right;\"/>');\n",
-       "    nav_element.append(status_bar);\n",
-       "    this.message = status_bar[0];\n",
-       "\n",
-       "    // Add the close button to the window.\n",
-       "    var buttongrp = $('<div class=\"btn-group inline pull-right\"></div>');\n",
-       "    var button = $('<button class=\"btn btn-mini btn-primary\" href=\"#\" title=\"Stop Interaction\"><i class=\"fa fa-power-off icon-remove icon-large\"></i></button>');\n",
-       "    button.click(function (evt) { fig.handle_close(fig, {}); } );\n",
-       "    button.mouseover('Stop Interaction', toolbar_mouse_event);\n",
-       "    buttongrp.append(button);\n",
-       "    var titlebar = this.root.find($('.ui-dialog-titlebar'));\n",
-       "    titlebar.prepend(buttongrp);\n",
-       "}\n",
-       "\n",
-       "mpl.figure.prototype._root_extra_style = function(el){\n",
-       "    var fig = this\n",
-       "    el.on(\"remove\", function(){\n",
-       "\tfig.close_ws(fig, {});\n",
-       "    });\n",
-       "}\n",
-       "\n",
-       "mpl.figure.prototype._canvas_extra_style = function(el){\n",
-       "    // this is important to make the div 'focusable\n",
-       "    el.attr('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",
-       "    }\n",
-       "    else {\n",
-       "        // location in version 2\n",
-       "        IPython.keyboard_manager.register_events(el);\n",
-       "    }\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",
-       "    // Check for shift+enter\n",
-       "    if (event.shiftKey && event.which == 13) {\n",
-       "        this.canvas_div.blur();\n",
-       "        event.shiftKey = false;\n",
-       "        // Send a \"J\" for go to next cell\n",
-       "        event.which = 74;\n",
-       "        event.keyCode = 74;\n",
-       "        manager.command_mode();\n",
-       "        manager.handle_keydown(event);\n",
-       "    }\n",
-       "}\n",
-       "\n",
-       "mpl.figure.prototype.handle_save = function(fig, msg) {\n",
-       "    fig.ondownload(fig, null);\n",
-       "}\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('matplotlib', mpl.mpl_figure_comm);\n",
-       "}\n"
-      ],
-      "text/plain": [
-       "<IPython.core.display.Javascript object>"
-      ]
-     },
-     "metadata": {},
-     "output_type": "display_data"
-    },
-    {
-     "data": {
-      "text/html": [
-       "<img src=\"data:image/png;base64,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\">"
-      ],
-      "text/plain": [
-       "<IPython.core.display.HTML object>"
-      ]
-     },
-     "metadata": {},
-     "output_type": "display_data"
-    },
     {
      "name": "stdout",
      "output_type": "stream",
@@ -17079,6 +5606,16 @@
       "final position is 6\n",
       "predicted position is 6 with confidence 100.0000%:\n"
      ]
+    },
+    {
+     "data": {
+      "image/png": "iVBORw0KGgoAAAANSUhEUgAAAhkAAACSCAYAAADo8ti5AAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\nJElSEYYMSZJUhCFDkiQVYciQJElF/B9o/xICCiwilwAAAABJRU5ErkJggg==\n",
+      "text/plain": [
+       "<matplotlib.figure.Figure at 0x1cf13762f60>"
+      ]
+     },
+     "metadata": {},
+     "output_type": "display_data"
     }
    ],
    "source": [
@@ -17086,9 +5623,8 @@
     "\n",
     "random.seed(3)\n",
     "np.set_printoptions(precision=2, suppress=True, linewidth=60)\n",
-    "with interactive_plot():\n",
-    "    train_filter(4, kernel=[1.], sensor_accuracy=.999,\n",
-    "                 move_distance=4, do_print=True)"
+    "train_filter(4, kernel=[1.], sensor_accuracy=.999,\n",
+    "             move_distance=4, do_print=True)"
    ]
   },
   {
@@ -17105,782 +5641,6 @@
     "collapsed": false
    },
    "outputs": [
-    {
-     "data": {
-      "application/javascript": [
-       "/* Put everything inside the global mpl namespace */\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('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",
-       "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 = $('<div/>');\n",
-       "    this._root_extra_style(this.root)\n",
-       "    this.root.attr('style', 'display: inline-block');\n",
-       "\n",
-       "    $(parent_element).append(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",
-       "            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",
-       "        this.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 = $(\n",
-       "        '<div class=\"ui-dialog-titlebar ui-widget-header ui-corner-all ' +\n",
-       "        'ui-helper-clearfix\"/>');\n",
-       "    var titletext = $(\n",
-       "        '<div class=\"ui-dialog-title\" style=\"width: 100%; ' +\n",
-       "        'text-align: center; padding: 3px;\"/>');\n",
-       "    titlebar.append(titletext)\n",
-       "    this.root.append(titlebar);\n",
-       "    this.header = titletext[0];\n",
-       "}\n",
-       "\n",
-       "\n",
-       "\n",
-       "mpl.figure.prototype._canvas_extra_style = function(canvas_div) {\n",
-       "\n",
-       "}\n",
-       "\n",
-       "\n",
-       "mpl.figure.prototype._root_extra_style = function(canvas_div) {\n",
-       "\n",
-       "}\n",
-       "\n",
-       "mpl.figure.prototype._init_canvas = function() {\n",
-       "    var fig = this;\n",
-       "\n",
-       "    var canvas_div = $('<div/>');\n",
-       "\n",
-       "    canvas_div.attr('style', 'position: relative; clear: both; outline: 0');\n",
-       "\n",
-       "    function canvas_keyboard_event(event) {\n",
-       "        return fig.key_event(event, event['data']);\n",
-       "    }\n",
-       "\n",
-       "    canvas_div.keydown('key_press', canvas_keyboard_event);\n",
-       "    canvas_div.keyup('key_release', canvas_keyboard_event);\n",
-       "    this.canvas_div = canvas_div\n",
-       "    this._canvas_extra_style(canvas_div)\n",
-       "    this.root.append(canvas_div);\n",
-       "\n",
-       "    var canvas = $('<canvas/>');\n",
-       "    canvas.addClass('mpl-canvas');\n",
-       "    canvas.attr('style', \"left: 0; top: 0; z-index: 0; outline: 0\")\n",
-       "\n",
-       "    this.canvas = canvas[0];\n",
-       "    this.context = canvas[0].getContext(\"2d\");\n",
-       "\n",
-       "    var rubberband = $('<canvas/>');\n",
-       "    rubberband.attr('style', \"position: absolute; left: 0; top: 0; z-index: 1;\")\n",
-       "\n",
-       "    var pass_mouse_events = true;\n",
-       "\n",
-       "    canvas_div.resizable({\n",
-       "        start: function(event, ui) {\n",
-       "            pass_mouse_events = false;\n",
-       "        },\n",
-       "        resize: function(event, ui) {\n",
-       "            fig.request_resize(ui.size.width, ui.size.height);\n",
-       "        },\n",
-       "        stop: function(event, ui) {\n",
-       "            pass_mouse_events = true;\n",
-       "            fig.request_resize(ui.size.width, ui.size.height);\n",
-       "        },\n",
-       "    });\n",
-       "\n",
-       "    function mouse_event_fn(event) {\n",
-       "        if (pass_mouse_events)\n",
-       "            return fig.mouse_event(event, event['data']);\n",
-       "    }\n",
-       "\n",
-       "    rubberband.mousedown('button_press', mouse_event_fn);\n",
-       "    rubberband.mouseup('button_release', mouse_event_fn);\n",
-       "    // Throttle sequential mouse events to 1 every 20ms.\n",
-       "    rubberband.mousemove('motion_notify', mouse_event_fn);\n",
-       "\n",
-       "    rubberband.mouseenter('figure_enter', mouse_event_fn);\n",
-       "    rubberband.mouseleave('figure_leave', mouse_event_fn);\n",
-       "\n",
-       "    canvas_div.on(\"wheel\", function (event) {\n",
-       "        event = event.originalEvent;\n",
-       "        event['data'] = 'scroll'\n",
-       "        if (event.deltaY < 0) {\n",
-       "            event.step = 1;\n",
-       "        } else {\n",
-       "            event.step = -1;\n",
-       "        }\n",
-       "        mouse_event_fn(event);\n",
-       "    });\n",
-       "\n",
-       "    canvas_div.append(canvas);\n",
-       "    canvas_div.append(rubberband);\n",
-       "\n",
-       "    this.rubberband = rubberband;\n",
-       "    this.rubberband_canvas = rubberband[0];\n",
-       "    this.rubberband_context = rubberband[0].getContext(\"2d\");\n",
-       "    this.rubberband_context.strokeStyle = \"#000000\";\n",
-       "\n",
-       "    this._resize_canvas = function(width, height) {\n",
-       "        // Keep the size of the canvas, canvas container, and rubber band\n",
-       "        // canvas in synch.\n",
-       "        canvas_div.css('width', width)\n",
-       "        canvas_div.css('height', height)\n",
-       "\n",
-       "        canvas.attr('width', width);\n",
-       "        canvas.attr('height', height);\n",
-       "\n",
-       "        rubberband.attr('width', width);\n",
-       "        rubberband.attr('height', height);\n",
-       "    }\n",
-       "\n",
-       "    // Set the figure to an initial 600x600px, this will subsequently be updated\n",
-       "    // upon first draw.\n",
-       "    this._resize_canvas(600, 600);\n",
-       "\n",
-       "    // Disable right mouse context menu.\n",
-       "    $(this.rubberband_canvas).bind(\"contextmenu\",function(e){\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 nav_element = $('<div/>')\n",
-       "    nav_element.attr('style', 'width: 100%');\n",
-       "    this.root.append(nav_element);\n",
-       "\n",
-       "    // Define a callback function for later on.\n",
-       "    function toolbar_event(event) {\n",
-       "        return fig.toolbar_button_onclick(event['data']);\n",
-       "    }\n",
-       "    function toolbar_mouse_event(event) {\n",
-       "        return fig.toolbar_button_onmouseover(event['data']);\n",
-       "    }\n",
-       "\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",
-       "            // put a spacer in here.\n",
-       "            continue;\n",
-       "        }\n",
-       "        var button = $('<button/>');\n",
-       "        button.addClass('ui-button ui-widget ui-state-default ui-corner-all ' +\n",
-       "                        'ui-button-icon-only');\n",
-       "        button.attr('role', 'button');\n",
-       "        button.attr('aria-disabled', 'false');\n",
-       "        button.click(method_name, toolbar_event);\n",
-       "        button.mouseover(tooltip, toolbar_mouse_event);\n",
-       "\n",
-       "        var icon_img = $('<span/>');\n",
-       "        icon_img.addClass('ui-button-icon-primary ui-icon');\n",
-       "        icon_img.addClass(image);\n",
-       "        icon_img.addClass('ui-corner-all');\n",
-       "\n",
-       "        var tooltip_span = $('<span/>');\n",
-       "        tooltip_span.addClass('ui-button-text');\n",
-       "        tooltip_span.html(tooltip);\n",
-       "\n",
-       "        button.append(icon_img);\n",
-       "        button.append(tooltip_span);\n",
-       "\n",
-       "        nav_element.append(button);\n",
-       "    }\n",
-       "\n",
-       "    var fmt_picker_span = $('<span/>');\n",
-       "\n",
-       "    var fmt_picker = $('<select/>');\n",
-       "    fmt_picker.addClass('mpl-toolbar-option ui-widget ui-widget-content');\n",
-       "    fmt_picker_span.append(fmt_picker);\n",
-       "    nav_element.append(fmt_picker_span);\n",
-       "    this.format_dropdown = fmt_picker[0];\n",
-       "\n",
-       "    for (var ind in mpl.extensions) {\n",
-       "        var fmt = mpl.extensions[ind];\n",
-       "        var option = $(\n",
-       "            '<option/>', {selected: fmt === mpl.default_extension}).html(fmt);\n",
-       "        fmt_picker.append(option)\n",
-       "    }\n",
-       "\n",
-       "    // Add hover states to the ui-buttons\n",
-       "    $( \".ui-button\" ).hover(\n",
-       "        function() { $(this).addClass(\"ui-state-hover\");},\n",
-       "        function() { $(this).removeClass(\"ui-state-hover\");}\n",
-       "    );\n",
-       "\n",
-       "    var status_bar = $('<span class=\"mpl-message\"/>');\n",
-       "    nav_element.append(status_bar);\n",
-       "    this.message = status_bar[0];\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",
-       "\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",
-       "\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]);\n",
-       "        fig.send_message(\"refresh\", {});\n",
-       "    };\n",
-       "}\n",
-       "\n",
-       "mpl.figure.prototype.handle_rubberband = function(fig, msg) {\n",
-       "    var x0 = msg['x0'];\n",
-       "    var y0 = fig.canvas.height - msg['y0'];\n",
-       "    var x1 = msg['x1'];\n",
-       "    var y1 = fig.canvas.height - msg['y1'];\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, 0, fig.canvas.width, fig.canvas.height);\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",
-       "    {\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.updated_canvas_event = function() {\n",
-       "    // Called whenever the canvas gets updated.\n",
-       "    this.send_message(\"ack\", {});\n",
-       "}\n",
-       "\n",
-       "// A function to construct a web socket function for onmessage handling.\n",
-       "// Called in the figure constructor.\n",
-       "mpl.figure.prototype._make_on_message_function = function(fig) {\n",
-       "    return function socket_on_message(evt) {\n",
-       "        if (evt.data instanceof Blob) {\n",
-       "            /* FIXME: We get \"Resource interpreted as Image but\n",
-       "             * transferred with MIME type text/plain:\" errors on\n",
-       "             * Chrome.  But how to set the MIME type?  It doesn't seem\n",
-       "             * to be part of the websocket stream */\n",
-       "            evt.data.type = \"image/png\";\n",
-       "\n",
-       "            /* Free the memory for the previous frames */\n",
-       "            if (fig.imageObj.src) {\n",
-       "                (window.URL || window.webkitURL).revokeObjectURL(\n",
-       "                    fig.imageObj.src);\n",
-       "            }\n",
-       "\n",
-       "            fig.imageObj.src = (window.URL || window.webkitURL).createObjectURL(\n",
-       "                evt.data);\n",
-       "            fig.updated_canvas_event();\n",
-       "            fig.waiting = false;\n",
-       "            return;\n",
-       "        }\n",
-       "        else if (typeof evt.data === 'string' && evt.data.slice(0, 21) == \"data:image/png;base64\") {\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(\"No handler for the '\" + msg_type + \"' message type: \", msg);\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(\"Exception inside the 'handler_\" + msg_type + \"' callback:\", e, e.stack, msg);\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",
-       "    if (e.target)\n",
-       "        targ = e.target;\n",
-       "    else if (e.srcElement)\n",
-       "        targ = e.srcElement;\n",
-       "    if (targ.nodeType == 3) // defeat Safari bug\n",
-       "        targ = targ.parentNode;\n",
-       "\n",
-       "    // jQuery normalizes the pageX and pageY\n",
-       "    // pageX,Y are the mouse positions relative to the document\n",
-       "    // offset() returns the position of the element relative to the document\n",
-       "    var x = e.pageX - $(targ).offset().left;\n",
-       "    var y = e.pageY - $(targ).offset().top;\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",
-       "    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",
-       "    {\n",
-       "        this.canvas.focus();\n",
-       "        this.canvas_div.focus();\n",
-       "    }\n",
-       "\n",
-       "    var x = canvas_pos.x;\n",
-       "    var y = canvas_pos.y;\n",
-       "\n",
-       "    this.send_message(name, {x: x, y: y, button: event.button,\n",
-       "                             step: event.step,\n",
-       "                             guiEvent: simpleKeys(event)});\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",
-       "\n",
-       "    // Prevent repeat events\n",
-       "    if (name == 'key_press')\n",
-       "    {\n",
-       "        if (event.which === this._key)\n",
-       "            return;\n",
-       "        else\n",
-       "            this._key = event.which;\n",
-       "    }\n",
-       "    if (name == 'key_release')\n",
-       "        this._key = null;\n",
-       "\n",
-       "    var value = '';\n",
-       "    if (event.ctrlKey && event.which != 17)\n",
-       "        value += \"ctrl+\";\n",
-       "    if (event.altKey && event.which != 18)\n",
-       "        value += \"alt+\";\n",
-       "    if (event.shiftKey && event.which != 16)\n",
-       "        value += \"shift+\";\n",
-       "\n",
-       "    value += 'k';\n",
-       "    value += event.which.toString();\n",
-       "\n",
-       "    this._key_event_extra(event, name);\n",
-       "\n",
-       "    this.send_message(name, {key: value,\n",
-       "                             guiEvent: simpleKeys(event)});\n",
-       "    return false;\n",
-       "}\n",
-       "\n",
-       "mpl.figure.prototype.toolbar_button_onclick = function(name) {\n",
-       "    if (name == 'download') {\n",
-       "        this.handle_save(this, null);\n",
-       "    } else {\n",
-       "        this.send_message(\"toolbar_button\", {name: name});\n",
-       "    }\n",
-       "};\n",
-       "\n",
-       "mpl.figure.prototype.toolbar_button_onmouseover = function(tooltip) {\n",
-       "    this.message.textContent = tooltip;\n",
-       "};\n",
-       "mpl.toolbar_items = [[\"Home\", \"Reset original view\", \"fa fa-home icon-home\", \"home\"], [\"Back\", \"Back to  previous view\", \"fa fa-arrow-left icon-arrow-left\", \"back\"], [\"Forward\", \"Forward to next view\", \"fa fa-arrow-right icon-arrow-right\", \"forward\"], [\"\", \"\", \"\", \"\"], [\"Pan\", \"Pan axes with left mouse, zoom with right\", \"fa fa-arrows icon-move\", \"pan\"], [\"Zoom\", \"Zoom to rectangle\", \"fa fa-square-o icon-check-empty\", \"zoom\"], [\"\", \"\", \"\", \"\"], [\"Download\", \"Download plot\", \"fa fa-floppy-o icon-save\", \"download\"]];\n",
-       "\n",
-       "mpl.extensions = [\"eps\", \"jpeg\", \"pdf\", \"png\", \"ps\", \"raw\", \"svg\", \"tif\"];\n",
-       "\n",
-       "mpl.default_extension = \"png\";var comm_websocket_adapter = function(comm) {\n",
-       "    // Create a \"websocket\"-like object which calls the given IPython comm\n",
-       "    // object with the appropriate methods. Currently this is a non binary\n",
-       "    // socket, so there is still some room for performance tuning.\n",
-       "    var ws = {};\n",
-       "\n",
-       "    ws.close = function() {\n",
-       "        comm.close()\n",
-       "    };\n",
-       "    ws.send = function(m) {\n",
-       "        //console.log('sending', m);\n",
-       "        comm.send(m);\n",
-       "    };\n",
-       "    // Register the callback with on_msg.\n",
-       "    comm.on_msg(function(msg) {\n",
-       "        //console.log('receiving', msg['content']['data'], msg);\n",
-       "        // Pass the mpl event to the overriden (by mpl) onmessage function.\n",
-       "        ws.onmessage(msg['content']['data'])\n",
-       "    });\n",
-       "    return ws;\n",
-       "}\n",
-       "\n",
-       "mpl.mpl_figure_comm = function(comm, msg) {\n",
-       "    // This is the function which gets called when the mpl process\n",
-       "    // starts-up an IPython Comm through the \"matplotlib\" channel.\n",
-       "\n",
-       "    var id = msg.content.data.id;\n",
-       "    // Get hold of the div created by the display call when the Comm\n",
-       "    // socket was opened in Python.\n",
-       "    var element = $(\"#\" + id);\n",
-       "    var ws_proxy = comm_websocket_adapter(comm)\n",
-       "\n",
-       "    function ondownload(figure, format) {\n",
-       "        window.open(figure.imageObj.src);\n",
-       "    }\n",
-       "\n",
-       "    var fig = new mpl.figure(id, ws_proxy,\n",
-       "                           ondownload,\n",
-       "                           element.get(0));\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.get(0);\n",
-       "    fig.cell_info = mpl.find_output_cell(\"<div id='\" + id + \"'></div>\");\n",
-       "    if (!fig.cell_info) {\n",
-       "        console.error(\"Failed to find cell for figure\", id, fig);\n",
-       "        return;\n",
-       "    }\n",
-       "\n",
-       "    var output_index = fig.cell_info[2]\n",
-       "    var cell = fig.cell_info[0];\n",
-       "\n",
-       "};\n",
-       "\n",
-       "mpl.figure.prototype.handle_close = function(fig, msg) {\n",
-       "    fig.root.unbind('remove')\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).html('<img src=\"' + dataURL + '\">');\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 dataURL = this.canvas.toDataURL();\n",
-       "    this.cell_info[1]['text/html'] = '<img src=\"' + dataURL + '\">';\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 () { fig.push_to_output() }, 1000);\n",
-       "}\n",
-       "\n",
-       "mpl.figure.prototype._init_toolbar = function() {\n",
-       "    var fig = this;\n",
-       "\n",
-       "    var nav_element = $('<div/>')\n",
-       "    nav_element.attr('style', 'width: 100%');\n",
-       "    this.root.append(nav_element);\n",
-       "\n",
-       "    // Define a callback function for later on.\n",
-       "    function toolbar_event(event) {\n",
-       "        return fig.toolbar_button_onclick(event['data']);\n",
-       "    }\n",
-       "    function toolbar_mouse_event(event) {\n",
-       "        return fig.toolbar_button_onmouseover(event['data']);\n",
-       "    }\n",
-       "\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) { continue; };\n",
-       "\n",
-       "        var button = $('<button class=\"btn btn-default\" href=\"#\" title=\"' + name + '\"><i class=\"fa ' + image + ' fa-lg\"></i></button>');\n",
-       "        button.click(method_name, toolbar_event);\n",
-       "        button.mouseover(tooltip, toolbar_mouse_event);\n",
-       "        nav_element.append(button);\n",
-       "    }\n",
-       "\n",
-       "    // Add the status bar.\n",
-       "    var status_bar = $('<span class=\"mpl-message\" style=\"text-align:right; float: right;\"/>');\n",
-       "    nav_element.append(status_bar);\n",
-       "    this.message = status_bar[0];\n",
-       "\n",
-       "    // Add the close button to the window.\n",
-       "    var buttongrp = $('<div class=\"btn-group inline pull-right\"></div>');\n",
-       "    var button = $('<button class=\"btn btn-mini btn-primary\" href=\"#\" title=\"Stop Interaction\"><i class=\"fa fa-power-off icon-remove icon-large\"></i></button>');\n",
-       "    button.click(function (evt) { fig.handle_close(fig, {}); } );\n",
-       "    button.mouseover('Stop Interaction', toolbar_mouse_event);\n",
-       "    buttongrp.append(button);\n",
-       "    var titlebar = this.root.find($('.ui-dialog-titlebar'));\n",
-       "    titlebar.prepend(buttongrp);\n",
-       "}\n",
-       "\n",
-       "mpl.figure.prototype._root_extra_style = function(el){\n",
-       "    var fig = this\n",
-       "    el.on(\"remove\", function(){\n",
-       "\tfig.close_ws(fig, {});\n",
-       "    });\n",
-       "}\n",
-       "\n",
-       "mpl.figure.prototype._canvas_extra_style = function(el){\n",
-       "    // this is important to make the div 'focusable\n",
-       "    el.attr('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",
-       "    }\n",
-       "    else {\n",
-       "        // location in version 2\n",
-       "        IPython.keyboard_manager.register_events(el);\n",
-       "    }\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",
-       "    // Check for shift+enter\n",
-       "    if (event.shiftKey && event.which == 13) {\n",
-       "        this.canvas_div.blur();\n",
-       "        event.shiftKey = false;\n",
-       "        // Send a \"J\" for go to next cell\n",
-       "        event.which = 74;\n",
-       "        event.keyCode = 74;\n",
-       "        manager.command_mode();\n",
-       "        manager.handle_keydown(event);\n",
-       "    }\n",
-       "}\n",
-       "\n",
-       "mpl.figure.prototype.handle_save = function(fig, msg) {\n",
-       "    fig.ondownload(fig, null);\n",
-       "}\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('matplotlib', mpl.mpl_figure_comm);\n",
-       "}\n"
-      ],
-      "text/plain": [
-       "<IPython.core.display.Javascript object>"
-      ]
-     },
-     "metadata": {},
-     "output_type": "display_data"
-    },
-    {
-     "data": {
-      "text/html": [
-       "<img src=\"data:image/png;base64,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\">"
-      ],
-      "text/plain": [
-       "<IPython.core.display.HTML object>"
-      ]
-     },
-     "metadata": {},
-     "output_type": "display_data"
-    },
     {
      "name": "stdout",
      "output_type": "stream",
@@ -17897,13 +5657,22 @@
       "final position is 7\n",
       "predicted position is 8 with confidence 37.5836%:\n"
      ]
+    },
+    {
+     "data": {
+      "image/png": "iVBORw0KGgoAAAANSUhEUgAAAhkAAACSCAYAAADo8ti5AAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\nevqmAAAAAElFTkSuQmCC\n",
+      "text/plain": [
+       "<matplotlib.figure.Figure at 0x1cf12c01ba8>"
+      ]
+     },
+     "metadata": {},
+     "output_type": "display_data"
     }
    ],
    "source": [
     "random.seed(5)\n",
-    "with interactive_plot():\n",
-    "    train_filter(4, kernel=[.1, .8, .1], sensor_accuracy=.9,\n",
-    "             move_distance=4, do_print=True)"
+    "train_filter(4, kernel=[.1, .8, .1], sensor_accuracy=.9,\n",
+    "         move_distance=4, do_print=True)"
    ]
   },
   {
@@ -17925,775 +5694,9 @@
    "outputs": [
     {
      "data": {
-      "application/javascript": [
-       "/* Put everything inside the global mpl namespace */\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('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",
-       "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 = $('<div/>');\n",
-       "    this._root_extra_style(this.root)\n",
-       "    this.root.attr('style', 'display: inline-block');\n",
-       "\n",
-       "    $(parent_element).append(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",
-       "            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",
-       "        this.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 = $(\n",
-       "        '<div class=\"ui-dialog-titlebar ui-widget-header ui-corner-all ' +\n",
-       "        'ui-helper-clearfix\"/>');\n",
-       "    var titletext = $(\n",
-       "        '<div class=\"ui-dialog-title\" style=\"width: 100%; ' +\n",
-       "        'text-align: center; padding: 3px;\"/>');\n",
-       "    titlebar.append(titletext)\n",
-       "    this.root.append(titlebar);\n",
-       "    this.header = titletext[0];\n",
-       "}\n",
-       "\n",
-       "\n",
-       "\n",
-       "mpl.figure.prototype._canvas_extra_style = function(canvas_div) {\n",
-       "\n",
-       "}\n",
-       "\n",
-       "\n",
-       "mpl.figure.prototype._root_extra_style = function(canvas_div) {\n",
-       "\n",
-       "}\n",
-       "\n",
-       "mpl.figure.prototype._init_canvas = function() {\n",
-       "    var fig = this;\n",
-       "\n",
-       "    var canvas_div = $('<div/>');\n",
-       "\n",
-       "    canvas_div.attr('style', 'position: relative; clear: both; outline: 0');\n",
-       "\n",
-       "    function canvas_keyboard_event(event) {\n",
-       "        return fig.key_event(event, event['data']);\n",
-       "    }\n",
-       "\n",
-       "    canvas_div.keydown('key_press', canvas_keyboard_event);\n",
-       "    canvas_div.keyup('key_release', canvas_keyboard_event);\n",
-       "    this.canvas_div = canvas_div\n",
-       "    this._canvas_extra_style(canvas_div)\n",
-       "    this.root.append(canvas_div);\n",
-       "\n",
-       "    var canvas = $('<canvas/>');\n",
-       "    canvas.addClass('mpl-canvas');\n",
-       "    canvas.attr('style', \"left: 0; top: 0; z-index: 0; outline: 0\")\n",
-       "\n",
-       "    this.canvas = canvas[0];\n",
-       "    this.context = canvas[0].getContext(\"2d\");\n",
-       "\n",
-       "    var rubberband = $('<canvas/>');\n",
-       "    rubberband.attr('style', \"position: absolute; left: 0; top: 0; z-index: 1;\")\n",
-       "\n",
-       "    var pass_mouse_events = true;\n",
-       "\n",
-       "    canvas_div.resizable({\n",
-       "        start: function(event, ui) {\n",
-       "            pass_mouse_events = false;\n",
-       "        },\n",
-       "        resize: function(event, ui) {\n",
-       "            fig.request_resize(ui.size.width, ui.size.height);\n",
-       "        },\n",
-       "        stop: function(event, ui) {\n",
-       "            pass_mouse_events = true;\n",
-       "            fig.request_resize(ui.size.width, ui.size.height);\n",
-       "        },\n",
-       "    });\n",
-       "\n",
-       "    function mouse_event_fn(event) {\n",
-       "        if (pass_mouse_events)\n",
-       "            return fig.mouse_event(event, event['data']);\n",
-       "    }\n",
-       "\n",
-       "    rubberband.mousedown('button_press', mouse_event_fn);\n",
-       "    rubberband.mouseup('button_release', mouse_event_fn);\n",
-       "    // Throttle sequential mouse events to 1 every 20ms.\n",
-       "    rubberband.mousemove('motion_notify', mouse_event_fn);\n",
-       "\n",
-       "    rubberband.mouseenter('figure_enter', mouse_event_fn);\n",
-       "    rubberband.mouseleave('figure_leave', mouse_event_fn);\n",
-       "\n",
-       "    canvas_div.on(\"wheel\", function (event) {\n",
-       "        event = event.originalEvent;\n",
-       "        event['data'] = 'scroll'\n",
-       "        if (event.deltaY < 0) {\n",
-       "            event.step = 1;\n",
-       "        } else {\n",
-       "            event.step = -1;\n",
-       "        }\n",
-       "        mouse_event_fn(event);\n",
-       "    });\n",
-       "\n",
-       "    canvas_div.append(canvas);\n",
-       "    canvas_div.append(rubberband);\n",
-       "\n",
-       "    this.rubberband = rubberband;\n",
-       "    this.rubberband_canvas = rubberband[0];\n",
-       "    this.rubberband_context = rubberband[0].getContext(\"2d\");\n",
-       "    this.rubberband_context.strokeStyle = \"#000000\";\n",
-       "\n",
-       "    this._resize_canvas = function(width, height) {\n",
-       "        // Keep the size of the canvas, canvas container, and rubber band\n",
-       "        // canvas in synch.\n",
-       "        canvas_div.css('width', width)\n",
-       "        canvas_div.css('height', height)\n",
-       "\n",
-       "        canvas.attr('width', width);\n",
-       "        canvas.attr('height', height);\n",
-       "\n",
-       "        rubberband.attr('width', width);\n",
-       "        rubberband.attr('height', height);\n",
-       "    }\n",
-       "\n",
-       "    // Set the figure to an initial 600x600px, this will subsequently be updated\n",
-       "    // upon first draw.\n",
-       "    this._resize_canvas(600, 600);\n",
-       "\n",
-       "    // Disable right mouse context menu.\n",
-       "    $(this.rubberband_canvas).bind(\"contextmenu\",function(e){\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 nav_element = $('<div/>')\n",
-       "    nav_element.attr('style', 'width: 100%');\n",
-       "    this.root.append(nav_element);\n",
-       "\n",
-       "    // Define a callback function for later on.\n",
-       "    function toolbar_event(event) {\n",
-       "        return fig.toolbar_button_onclick(event['data']);\n",
-       "    }\n",
-       "    function toolbar_mouse_event(event) {\n",
-       "        return fig.toolbar_button_onmouseover(event['data']);\n",
-       "    }\n",
-       "\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",
-       "            // put a spacer in here.\n",
-       "            continue;\n",
-       "        }\n",
-       "        var button = $('<button/>');\n",
-       "        button.addClass('ui-button ui-widget ui-state-default ui-corner-all ' +\n",
-       "                        'ui-button-icon-only');\n",
-       "        button.attr('role', 'button');\n",
-       "        button.attr('aria-disabled', 'false');\n",
-       "        button.click(method_name, toolbar_event);\n",
-       "        button.mouseover(tooltip, toolbar_mouse_event);\n",
-       "\n",
-       "        var icon_img = $('<span/>');\n",
-       "        icon_img.addClass('ui-button-icon-primary ui-icon');\n",
-       "        icon_img.addClass(image);\n",
-       "        icon_img.addClass('ui-corner-all');\n",
-       "\n",
-       "        var tooltip_span = $('<span/>');\n",
-       "        tooltip_span.addClass('ui-button-text');\n",
-       "        tooltip_span.html(tooltip);\n",
-       "\n",
-       "        button.append(icon_img);\n",
-       "        button.append(tooltip_span);\n",
-       "\n",
-       "        nav_element.append(button);\n",
-       "    }\n",
-       "\n",
-       "    var fmt_picker_span = $('<span/>');\n",
-       "\n",
-       "    var fmt_picker = $('<select/>');\n",
-       "    fmt_picker.addClass('mpl-toolbar-option ui-widget ui-widget-content');\n",
-       "    fmt_picker_span.append(fmt_picker);\n",
-       "    nav_element.append(fmt_picker_span);\n",
-       "    this.format_dropdown = fmt_picker[0];\n",
-       "\n",
-       "    for (var ind in mpl.extensions) {\n",
-       "        var fmt = mpl.extensions[ind];\n",
-       "        var option = $(\n",
-       "            '<option/>', {selected: fmt === mpl.default_extension}).html(fmt);\n",
-       "        fmt_picker.append(option)\n",
-       "    }\n",
-       "\n",
-       "    // Add hover states to the ui-buttons\n",
-       "    $( \".ui-button\" ).hover(\n",
-       "        function() { $(this).addClass(\"ui-state-hover\");},\n",
-       "        function() { $(this).removeClass(\"ui-state-hover\");}\n",
-       "    );\n",
-       "\n",
-       "    var status_bar = $('<span class=\"mpl-message\"/>');\n",
-       "    nav_element.append(status_bar);\n",
-       "    this.message = status_bar[0];\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",
-       "\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",
-       "\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]);\n",
-       "        fig.send_message(\"refresh\", {});\n",
-       "    };\n",
-       "}\n",
-       "\n",
-       "mpl.figure.prototype.handle_rubberband = function(fig, msg) {\n",
-       "    var x0 = msg['x0'];\n",
-       "    var y0 = fig.canvas.height - msg['y0'];\n",
-       "    var x1 = msg['x1'];\n",
-       "    var y1 = fig.canvas.height - msg['y1'];\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, 0, fig.canvas.width, fig.canvas.height);\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",
-       "    {\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.updated_canvas_event = function() {\n",
-       "    // Called whenever the canvas gets updated.\n",
-       "    this.send_message(\"ack\", {});\n",
-       "}\n",
-       "\n",
-       "// A function to construct a web socket function for onmessage handling.\n",
-       "// Called in the figure constructor.\n",
-       "mpl.figure.prototype._make_on_message_function = function(fig) {\n",
-       "    return function socket_on_message(evt) {\n",
-       "        if (evt.data instanceof Blob) {\n",
-       "            /* FIXME: We get \"Resource interpreted as Image but\n",
-       "             * transferred with MIME type text/plain:\" errors on\n",
-       "             * Chrome.  But how to set the MIME type?  It doesn't seem\n",
-       "             * to be part of the websocket stream */\n",
-       "            evt.data.type = \"image/png\";\n",
-       "\n",
-       "            /* Free the memory for the previous frames */\n",
-       "            if (fig.imageObj.src) {\n",
-       "                (window.URL || window.webkitURL).revokeObjectURL(\n",
-       "                    fig.imageObj.src);\n",
-       "            }\n",
-       "\n",
-       "            fig.imageObj.src = (window.URL || window.webkitURL).createObjectURL(\n",
-       "                evt.data);\n",
-       "            fig.updated_canvas_event();\n",
-       "            fig.waiting = false;\n",
-       "            return;\n",
-       "        }\n",
-       "        else if (typeof evt.data === 'string' && evt.data.slice(0, 21) == \"data:image/png;base64\") {\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(\"No handler for the '\" + msg_type + \"' message type: \", msg);\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(\"Exception inside the 'handler_\" + msg_type + \"' callback:\", e, e.stack, msg);\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",
-       "    if (e.target)\n",
-       "        targ = e.target;\n",
-       "    else if (e.srcElement)\n",
-       "        targ = e.srcElement;\n",
-       "    if (targ.nodeType == 3) // defeat Safari bug\n",
-       "        targ = targ.parentNode;\n",
-       "\n",
-       "    // jQuery normalizes the pageX and pageY\n",
-       "    // pageX,Y are the mouse positions relative to the document\n",
-       "    // offset() returns the position of the element relative to the document\n",
-       "    var x = e.pageX - $(targ).offset().left;\n",
-       "    var y = e.pageY - $(targ).offset().top;\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",
-       "    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",
-       "    {\n",
-       "        this.canvas.focus();\n",
-       "        this.canvas_div.focus();\n",
-       "    }\n",
-       "\n",
-       "    var x = canvas_pos.x;\n",
-       "    var y = canvas_pos.y;\n",
-       "\n",
-       "    this.send_message(name, {x: x, y: y, button: event.button,\n",
-       "                             step: event.step,\n",
-       "                             guiEvent: simpleKeys(event)});\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",
-       "\n",
-       "    // Prevent repeat events\n",
-       "    if (name == 'key_press')\n",
-       "    {\n",
-       "        if (event.which === this._key)\n",
-       "            return;\n",
-       "        else\n",
-       "            this._key = event.which;\n",
-       "    }\n",
-       "    if (name == 'key_release')\n",
-       "        this._key = null;\n",
-       "\n",
-       "    var value = '';\n",
-       "    if (event.ctrlKey && event.which != 17)\n",
-       "        value += \"ctrl+\";\n",
-       "    if (event.altKey && event.which != 18)\n",
-       "        value += \"alt+\";\n",
-       "    if (event.shiftKey && event.which != 16)\n",
-       "        value += \"shift+\";\n",
-       "\n",
-       "    value += 'k';\n",
-       "    value += event.which.toString();\n",
-       "\n",
-       "    this._key_event_extra(event, name);\n",
-       "\n",
-       "    this.send_message(name, {key: value,\n",
-       "                             guiEvent: simpleKeys(event)});\n",
-       "    return false;\n",
-       "}\n",
-       "\n",
-       "mpl.figure.prototype.toolbar_button_onclick = function(name) {\n",
-       "    if (name == 'download') {\n",
-       "        this.handle_save(this, null);\n",
-       "    } else {\n",
-       "        this.send_message(\"toolbar_button\", {name: name});\n",
-       "    }\n",
-       "};\n",
-       "\n",
-       "mpl.figure.prototype.toolbar_button_onmouseover = function(tooltip) {\n",
-       "    this.message.textContent = tooltip;\n",
-       "};\n",
-       "mpl.toolbar_items = [[\"Home\", \"Reset original view\", \"fa fa-home icon-home\", \"home\"], [\"Back\", \"Back to  previous view\", \"fa fa-arrow-left icon-arrow-left\", \"back\"], [\"Forward\", \"Forward to next view\", \"fa fa-arrow-right icon-arrow-right\", \"forward\"], [\"\", \"\", \"\", \"\"], [\"Pan\", \"Pan axes with left mouse, zoom with right\", \"fa fa-arrows icon-move\", \"pan\"], [\"Zoom\", \"Zoom to rectangle\", \"fa fa-square-o icon-check-empty\", \"zoom\"], [\"\", \"\", \"\", \"\"], [\"Download\", \"Download plot\", \"fa fa-floppy-o icon-save\", \"download\"]];\n",
-       "\n",
-       "mpl.extensions = [\"eps\", \"jpeg\", \"pdf\", \"png\", \"ps\", \"raw\", \"svg\", \"tif\"];\n",
-       "\n",
-       "mpl.default_extension = \"png\";var comm_websocket_adapter = function(comm) {\n",
-       "    // Create a \"websocket\"-like object which calls the given IPython comm\n",
-       "    // object with the appropriate methods. Currently this is a non binary\n",
-       "    // socket, so there is still some room for performance tuning.\n",
-       "    var ws = {};\n",
-       "\n",
-       "    ws.close = function() {\n",
-       "        comm.close()\n",
-       "    };\n",
-       "    ws.send = function(m) {\n",
-       "        //console.log('sending', m);\n",
-       "        comm.send(m);\n",
-       "    };\n",
-       "    // Register the callback with on_msg.\n",
-       "    comm.on_msg(function(msg) {\n",
-       "        //console.log('receiving', msg['content']['data'], msg);\n",
-       "        // Pass the mpl event to the overriden (by mpl) onmessage function.\n",
-       "        ws.onmessage(msg['content']['data'])\n",
-       "    });\n",
-       "    return ws;\n",
-       "}\n",
-       "\n",
-       "mpl.mpl_figure_comm = function(comm, msg) {\n",
-       "    // This is the function which gets called when the mpl process\n",
-       "    // starts-up an IPython Comm through the \"matplotlib\" channel.\n",
-       "\n",
-       "    var id = msg.content.data.id;\n",
-       "    // Get hold of the div created by the display call when the Comm\n",
-       "    // socket was opened in Python.\n",
-       "    var element = $(\"#\" + id);\n",
-       "    var ws_proxy = comm_websocket_adapter(comm)\n",
-       "\n",
-       "    function ondownload(figure, format) {\n",
-       "        window.open(figure.imageObj.src);\n",
-       "    }\n",
-       "\n",
-       "    var fig = new mpl.figure(id, ws_proxy,\n",
-       "                           ondownload,\n",
-       "                           element.get(0));\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.get(0);\n",
-       "    fig.cell_info = mpl.find_output_cell(\"<div id='\" + id + \"'></div>\");\n",
-       "    if (!fig.cell_info) {\n",
-       "        console.error(\"Failed to find cell for figure\", id, fig);\n",
-       "        return;\n",
-       "    }\n",
-       "\n",
-       "    var output_index = fig.cell_info[2]\n",
-       "    var cell = fig.cell_info[0];\n",
-       "\n",
-       "};\n",
-       "\n",
-       "mpl.figure.prototype.handle_close = function(fig, msg) {\n",
-       "    fig.root.unbind('remove')\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).html('<img src=\"' + dataURL + '\">');\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 dataURL = this.canvas.toDataURL();\n",
-       "    this.cell_info[1]['text/html'] = '<img src=\"' + dataURL + '\">';\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 () { fig.push_to_output() }, 1000);\n",
-       "}\n",
-       "\n",
-       "mpl.figure.prototype._init_toolbar = function() {\n",
-       "    var fig = this;\n",
-       "\n",
-       "    var nav_element = $('<div/>')\n",
-       "    nav_element.attr('style', 'width: 100%');\n",
-       "    this.root.append(nav_element);\n",
-       "\n",
-       "    // Define a callback function for later on.\n",
-       "    function toolbar_event(event) {\n",
-       "        return fig.toolbar_button_onclick(event['data']);\n",
-       "    }\n",
-       "    function toolbar_mouse_event(event) {\n",
-       "        return fig.toolbar_button_onmouseover(event['data']);\n",
-       "    }\n",
-       "\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) { continue; };\n",
-       "\n",
-       "        var button = $('<button class=\"btn btn-default\" href=\"#\" title=\"' + name + '\"><i class=\"fa ' + image + ' fa-lg\"></i></button>');\n",
-       "        button.click(method_name, toolbar_event);\n",
-       "        button.mouseover(tooltip, toolbar_mouse_event);\n",
-       "        nav_element.append(button);\n",
-       "    }\n",
-       "\n",
-       "    // Add the status bar.\n",
-       "    var status_bar = $('<span class=\"mpl-message\" style=\"text-align:right; float: right;\"/>');\n",
-       "    nav_element.append(status_bar);\n",
-       "    this.message = status_bar[0];\n",
-       "\n",
-       "    // Add the close button to the window.\n",
-       "    var buttongrp = $('<div class=\"btn-group inline pull-right\"></div>');\n",
-       "    var button = $('<button class=\"btn btn-mini btn-primary\" href=\"#\" title=\"Stop Interaction\"><i class=\"fa fa-power-off icon-remove icon-large\"></i></button>');\n",
-       "    button.click(function (evt) { fig.handle_close(fig, {}); } );\n",
-       "    button.mouseover('Stop Interaction', toolbar_mouse_event);\n",
-       "    buttongrp.append(button);\n",
-       "    var titlebar = this.root.find($('.ui-dialog-titlebar'));\n",
-       "    titlebar.prepend(buttongrp);\n",
-       "}\n",
-       "\n",
-       "mpl.figure.prototype._root_extra_style = function(el){\n",
-       "    var fig = this\n",
-       "    el.on(\"remove\", function(){\n",
-       "\tfig.close_ws(fig, {});\n",
-       "    });\n",
-       "}\n",
-       "\n",
-       "mpl.figure.prototype._canvas_extra_style = function(el){\n",
-       "    // this is important to make the div 'focusable\n",
-       "    el.attr('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",
-       "    }\n",
-       "    else {\n",
-       "        // location in version 2\n",
-       "        IPython.keyboard_manager.register_events(el);\n",
-       "    }\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",
-       "    // Check for shift+enter\n",
-       "    if (event.shiftKey && event.which == 13) {\n",
-       "        this.canvas_div.blur();\n",
-       "        event.shiftKey = false;\n",
-       "        // Send a \"J\" for go to next cell\n",
-       "        event.which = 74;\n",
-       "        event.keyCode = 74;\n",
-       "        manager.command_mode();\n",
-       "        manager.handle_keydown(event);\n",
-       "    }\n",
-       "}\n",
-       "\n",
-       "mpl.figure.prototype.handle_save = function(fig, msg) {\n",
-       "    fig.ondownload(fig, null);\n",
-       "}\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('matplotlib', mpl.mpl_figure_comm);\n",
-       "}\n"
-      ],
+      "image/png": "iVBORw0KGgoAAAANSUhEUgAAAhkAAAFeCAYAAAAorw3CAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\n4v8DBEuoODmuvNIAAAAASUVORK5CYII=\n",
       "text/plain": [
-       "<IPython.core.display.Javascript object>"
-      ]
-     },
-     "metadata": {},
-     "output_type": "display_data"
-    },
-    {
-     "data": {
-      "text/html": [
-       "<img src=\"data:image/png;base64,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\">"
-      ],
-      "text/plain": [
-       "<IPython.core.display.HTML object>"
+       "<matplotlib.figure.Figure at 0x1cf132f7160>"
       ]
      },
      "metadata": {},
@@ -18702,14 +5705,13 @@
    ],
    "source": [
     "with figsize(y=5.5):\n",
-    "    with interactive_plot():\n",
-    "        for i in range (4):\n",
-    "            random.seed(3)\n",
-    "            plt.subplot(221+i)\n",
-    "            train_filter(148+i, kernel=[.1, .8, .1], \n",
-    "                         sensor_accuracy=.8,\n",
-    "                         move_distance=4, do_print=False)\n",
-    "            plt.title ('iteration {}'.format(148+i))"
+    "    for i in range (4):\n",
+    "        random.seed(3)\n",
+    "        plt.subplot(221+i)\n",
+    "        train_filter(148+i, kernel=[.1, .8, .1], \n",
+    "                     sensor_accuracy=.8,\n",
+    "                     move_distance=4, do_print=False)\n",
+    "        plt.title ('iteration {}'.format(148+i))"
    ]
   },
   {