lab7_8.ipynb

{
 "cells": [
  {
   "cell_type": "markdown",
   "metadata": {
    "ExecuteTime": {
     "end_time": "2018-10-30T14:50:01.456234Z",
     "start_time": "2018-10-30T14:50:00.293957Z"
    }
   },
   "source": [
    "# моделирование боевых действий"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 21,
   "metadata": {
    "ExecuteTime": {
     "end_time": "2018-11-15T14:31:48.011300Z",
     "start_time": "2018-11-15T14:31:48.007299Z"
    }
   },
   "outputs": [],
   "source": [
    "import numpy as np\n",
    "from scipy.constants import g, pi\n",
    "import matplotlib.pyplot as plt\n",
    "from scipy.optimize import minimize\n",
    "import ipywidgets as widgets\n",
    "from ipywidgets import interact, interactive, fixed, interact_manual\n",
    "from scipy.integrate import solve_ivp"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 22,
   "metadata": {
    "ExecuteTime": {
     "end_time": "2018-11-15T14:31:48.370175Z",
     "start_time": "2018-11-15T14:31:48.361174Z"
    }
   },
   "outputs": [],
   "source": [
    "%matplotlib notebook\n",
    "style = {'description_width': 'initial'}"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## $ \\frac{d N_1}{d t} = -\\alpha_1(t) N_1 - \\beta_2(t)  N_2 + \\gamma_1(t)$\n",
    "\n",
    "## $ \\frac{d N_2}{d t} = -\\alpha_2(t) N_2 - \\beta_1(t) N_1 + \\gamma_2(t)$\n",
    "\n",
    "## $ \\alpha_1, \\alpha_2 $ - потери не связанные с боевыми действиями\n",
    "\n",
    "## $\\beta_1, \\beta_2 $ - потери в боевых действиях\n",
    "\n",
    "## $\\gamma_1, \\gamma_2$ - скорость получения подкрепления"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "ExecuteTime": {
     "end_time": "2018-10-30T15:04:40.753124Z",
     "start_time": "2018-10-30T15:04:40.750123Z"
    }
   },
   "source": [
    "## простейшая модель случай регулярных армий"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 24,
   "metadata": {
    "ExecuteTime": {
     "end_time": "2018-11-15T14:33:24.208758Z",
     "start_time": "2018-11-15T14:33:24.027716Z"
    }
   },
   "outputs": [
    {
     "data": {
      "application/javascript": [
       "/* Put everything inside the global mpl namespace */\n",
       "window.mpl = {};\n",
       "\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",
       "            if (mpl.ratio != 1) {\n",
       "                fig.send_message(\"set_dpi_ratio\", {'dpi_ratio': mpl.ratio});\n",
       "            }\n",
       "            fig.send_message(\"refresh\", {});\n",
       "        }\n",
       "\n",
       "    this.imageObj.onload = function() {\n",
       "            if (fig.image_mode == 'full') {\n",
       "                // Full images could contain transparency (where diff images\n",
       "                // almost always do), so we need to clear the canvas so that\n",
       "                // there is no ghosting.\n",
       "                fig.context.clearRect(0, 0, fig.canvas.width, fig.canvas.height);\n",
       "            }\n",
       "            fig.context.drawImage(fig.imageObj, 0, 0);\n",
       "        };\n",
       "\n",
       "    this.imageObj.onunload = function() {\n",
       "        fig.ws.close();\n",
       "    }\n",
       "\n",
       "    this.ws.onmessage = this._make_on_message_function(this);\n",
       "\n",
       "    this.ondownload = ondownload;\n",
       "}\n",
       "\n",
       "mpl.figure.prototype._init_header = function() {\n",
       "    var titlebar = $(\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 backingStore = this.context.backingStorePixelRatio ||\n",
       "\tthis.context.webkitBackingStorePixelRatio ||\n",
       "\tthis.context.mozBackingStorePixelRatio ||\n",
       "\tthis.context.msBackingStorePixelRatio ||\n",
       "\tthis.context.oBackingStorePixelRatio ||\n",
       "\tthis.context.backingStorePixelRatio || 1;\n",
       "\n",
       "    mpl.ratio = (window.devicePixelRatio || 1) / backingStore;\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 * mpl.ratio);\n",
       "        canvas.attr('height', height * mpl.ratio);\n",
       "        canvas.attr('style', 'width: ' + width + 'px; height: ' + height + 'px;');\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'] / mpl.ratio;\n",
       "    var y0 = (fig.canvas.height - msg['y0']) / mpl.ratio;\n",
       "    var x1 = msg['x1'] / mpl.ratio;\n",
       "    var y1 = (fig.canvas.height - msg['y1']) / mpl.ratio;\n",
       "    x0 = Math.floor(x0) + 0.5;\n",
       "    y0 = Math.floor(y0) + 0.5;\n",
       "    x1 = Math.floor(x1) + 0.5;\n",
       "    y1 = Math.floor(y1) + 0.5;\n",
       "    var min_x = Math.min(x0, x1);\n",
       "    var min_y = Math.min(y0, y1);\n",
       "    var width = Math.abs(x1 - x0);\n",
       "    var height = Math.abs(y1 - y0);\n",
       "\n",
       "    fig.rubberband_context.clearRect(\n",
       "        0, 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 * mpl.ratio;\n",
       "    var y = canvas_pos.y * mpl.ratio;\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\", \"pdf\", \"png\", \"ps\", \"raw\", \"svg\"];\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 overridden (by mpl) onmessage function.\n",
       "        ws.onmessage(msg['content']['data'])\n",
       "    });\n",
       "    return ws;\n",
       "}\n",
       "\n",
       "mpl.mpl_figure_comm = function(comm, msg) {\n",
       "    // This is the function which gets called when the mpl process\n",
       "    // starts-up an IPython Comm through the \"matplotlib\" channel.\n",
       "\n",
       "    var id = msg.content.data.id;\n",
       "    // Get hold of the div created by the display call when the Comm\n",
       "    // socket was opened in Python.\n",
       "    var element = $(\"#\" + 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",
       "    var width = fig.canvas.width/mpl.ratio\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 + '\" width=\"' + width + '\">');\n",
       "    fig.close_ws(fig, msg);\n",
       "}\n",
       "\n",
       "mpl.figure.prototype.close_ws = function(fig, msg){\n",
       "    fig.send_message('closing', msg);\n",
       "    // fig.ws.close()\n",
       "}\n",
       "\n",
       "mpl.figure.prototype.push_to_output = function(remove_interactive) {\n",
       "    // Turn the data on the canvas into data in the output cell.\n",
       "    var width = this.canvas.width/mpl.ratio\n",
       "    var dataURL = this.canvas.toDataURL();\n",
       "    this.cell_info[1]['text/html'] = '<img src=\"' + dataURL + '\" width=\"' + width + '\">';\n",
       "}\n",
       "\n",
       "mpl.figure.prototype.updated_canvas_event = function() {\n",
       "    // Tell IPython that the notebook contents must change.\n",
       "    IPython.notebook.set_dirty(true);\n",
       "    this.send_message(\"ack\", {});\n",
       "    var fig = this;\n",
       "    // Wait a second, then push the new image to the DOM so\n",
       "    // that it is saved nicely (might be nice to debounce this).\n",
       "    setTimeout(function () { 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": {
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\" width=\"842\">"
      ],
      "text/plain": [
       "<IPython.core.display.HTML object>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "application/javascript": [
       "/* Put everything inside the global mpl namespace */\n",
       "window.mpl = {};\n",
       "\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",
       "            if (mpl.ratio != 1) {\n",
       "                fig.send_message(\"set_dpi_ratio\", {'dpi_ratio': mpl.ratio});\n",
       "            }\n",
       "            fig.send_message(\"refresh\", {});\n",
       "        }\n",
       "\n",
       "    this.imageObj.onload = function() {\n",
       "            if (fig.image_mode == 'full') {\n",
       "                // Full images could contain transparency (where diff images\n",
       "                // almost always do), so we need to clear the canvas so that\n",
       "                // there is no ghosting.\n",
       "                fig.context.clearRect(0, 0, fig.canvas.width, fig.canvas.height);\n",
       "            }\n",
       "            fig.context.drawImage(fig.imageObj, 0, 0);\n",
       "        };\n",
       "\n",
       "    this.imageObj.onunload = function() {\n",
       "        fig.ws.close();\n",
       "    }\n",
       "\n",
       "    this.ws.onmessage = this._make_on_message_function(this);\n",
       "\n",
       "    this.ondownload = ondownload;\n",
       "}\n",
       "\n",
       "mpl.figure.prototype._init_header = function() {\n",
       "    var titlebar = $(\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 backingStore = this.context.backingStorePixelRatio ||\n",
       "\tthis.context.webkitBackingStorePixelRatio ||\n",
       "\tthis.context.mozBackingStorePixelRatio ||\n",
       "\tthis.context.msBackingStorePixelRatio ||\n",
       "\tthis.context.oBackingStorePixelRatio ||\n",
       "\tthis.context.backingStorePixelRatio || 1;\n",
       "\n",
       "    mpl.ratio = (window.devicePixelRatio || 1) / backingStore;\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 * mpl.ratio);\n",
       "        canvas.attr('height', height * mpl.ratio);\n",
       "        canvas.attr('style', 'width: ' + width + 'px; height: ' + height + 'px;');\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'] / mpl.ratio;\n",
       "    var y0 = (fig.canvas.height - msg['y0']) / mpl.ratio;\n",
       "    var x1 = msg['x1'] / mpl.ratio;\n",
       "    var y1 = (fig.canvas.height - msg['y1']) / mpl.ratio;\n",
       "    x0 = Math.floor(x0) + 0.5;\n",
       "    y0 = Math.floor(y0) + 0.5;\n",
       "    x1 = Math.floor(x1) + 0.5;\n",
       "    y1 = Math.floor(y1) + 0.5;\n",
       "    var min_x = Math.min(x0, x1);\n",
       "    var min_y = Math.min(y0, y1);\n",
       "    var width = Math.abs(x1 - x0);\n",
       "    var height = Math.abs(y1 - y0);\n",
       "\n",
       "    fig.rubberband_context.clearRect(\n",
       "        0, 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 * mpl.ratio;\n",
       "    var y = canvas_pos.y * mpl.ratio;\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\", \"pdf\", \"png\", \"ps\", \"raw\", \"svg\"];\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 overridden (by mpl) onmessage function.\n",
       "        ws.onmessage(msg['content']['data'])\n",
       "    });\n",
       "    return ws;\n",
       "}\n",
       "\n",
       "mpl.mpl_figure_comm = function(comm, msg) {\n",
       "    // This is the function which gets called when the mpl process\n",
       "    // starts-up an IPython Comm through the \"matplotlib\" channel.\n",
       "\n",
       "    var id = msg.content.data.id;\n",
       "    // Get hold of the div created by the display call when the Comm\n",
       "    // socket was opened in Python.\n",
       "    var element = $(\"#\" + 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",
       "    var width = fig.canvas.width/mpl.ratio\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 + '\" width=\"' + width + '\">');\n",
       "    fig.close_ws(fig, msg);\n",
       "}\n",
       "\n",
       "mpl.figure.prototype.close_ws = function(fig, msg){\n",
       "    fig.send_message('closing', msg);\n",
       "    // fig.ws.close()\n",
       "}\n",
       "\n",
       "mpl.figure.prototype.push_to_output = function(remove_interactive) {\n",
       "    // Turn the data on the canvas into data in the output cell.\n",
       "    var width = this.canvas.width/mpl.ratio\n",
       "    var dataURL = this.canvas.toDataURL();\n",
       "    this.cell_info[1]['text/html'] = '<img src=\"' + dataURL + '\" width=\"' + width + '\">';\n",
       "}\n",
       "\n",
       "mpl.figure.prototype.updated_canvas_event = function() {\n",
       "    // Tell IPython that the notebook contents must change.\n",
       "    IPython.notebook.set_dirty(true);\n",
       "    this.send_message(\"ack\", {});\n",
       "    var fig = this;\n",
       "    // Wait a second, then push the new image to the DOM so\n",
       "    // that it is saved nicely (might be nice to debounce this).\n",
       "    setTimeout(function () { 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": {
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\" width=\"876\">"
      ],
      "text/plain": [
       "<IPython.core.display.HTML object>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "application/vnd.jupyter.widget-view+json": {
       "model_id": "f25b7f750ab3464e943fcfbad9664501",
       "version_major": 2,
       "version_minor": 0
      },
      "text/plain": [
       "interactive(children=(FloatSlider(value=1.0, description='a_1', max=10.0), FloatSlider(value=1.0, description=…"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "def regular_war_model(t, y, a_1, a_2, b_1, b_2, g_1, g_2):\n",
    "    return np.array([-a_1*y[0] - b_2*y[1] + g_1, -a_2*y[1] - b_1*y[0] + g_2])\n",
    "\n",
    "fig = plt.figure()\n",
    "ax = fig.add_subplot(111)\n",
    "ax.grid()\n",
    "ax.legend(['Армия 1', 'Армия 2'])\n",
    "\n",
    "fig1 = plt.figure()\n",
    "ax1 = fig1.add_subplot(111)\n",
    "ax1.grid()\n",
    "plt.xlabel('Страна 1')\n",
    "\n",
    "\n",
    "def regular_war_plotter(a_1, a_2, b_1, b_2, g_1, g_2, max_time, start_value_N, start_value_M):\n",
    "    ax.clear()\n",
    "    ax1.clear()\n",
    "    ax1.grid()\n",
    "    ax.grid()\n",
    "    plt.xlabel('Армия 1')\n",
    "    plt.ylabel('Армия 2')\n",
    "\n",
    "    solve = solve_ivp(lambda t, y: regular_war_model(t, y, a_1, a_2, b_1, b_2, g_1, g_2),\n",
    "                      (0,max_time), [start_value_N, start_value_M], method = 'RK23')\n",
    "    \n",
    "    l1, = ax.plot(solve['t'][(solve['y'][0]>-1) & (solve['y'][1]>-1)], solve['y'][0][(solve['y'][0]>-1) & (solve['y'][1]>-1)])\n",
    "    l2, = ax.plot(solve['t'][(solve['y'][0]>-1) & (solve['y'][1]>-1)], solve['y'][1][(solve['y'][0]>-1) & (solve['y'][1]>-1)])\n",
    "    ax1.plot(solve['y'][0][(solve['y'][0]>-1) & (solve['y'][1]>-1)], solve['y'][1][(solve['y'][0]>-1) & (solve['y'][1]>-1)])\n",
    "    ax.legend((l1, l2), ('Армия 1', 'Армия 2'))\n",
    "    \n",
    "interact(regular_war_plotter,\n",
    "    a_1=widgets.FloatSlider(min=0, max=10, step=0.1, value=1),\n",
    "    a_2=widgets.FloatSlider(min=0, max=10, step=0.1, value=1),\n",
    "    b_1=widgets.FloatSlider(min=0, max=10, step=0.1, value=1),\n",
    "    b_2=widgets.FloatSlider(min=0, max=10, step=0.1, value=1),\n",
    "    g_1=widgets.FloatSlider(min=0, max=10, step=0.1, value=1),\n",
    "    g_2=widgets.FloatSlider(min=0, max=10, step=0.1, value=1),\n",
    "    max_time=widgets.IntSlider(min=4, max=400, step=1, value=5),\n",
    "    start_value_N=widgets.IntSlider(min=2, max=200, step=10, value=10,style = style),\n",
    "    start_value_M=widgets.IntSlider(min=2, max=200, step=10, value=10,style = style)\n",
    ");"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "ExecuteTime": {
     "end_time": "2018-11-15T13:36:25.777835Z",
     "start_time": "2018-11-15T13:36:25.774844Z"
    }
   },
   "source": [
    "## простейшая модель случай регулярная армия против партизан"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 25,
   "metadata": {
    "ExecuteTime": {
     "end_time": "2018-11-15T14:40:34.599468Z",
     "start_time": "2018-11-15T14:40:34.419425Z"
    }
   },
   "outputs": [
    {
     "data": {
      "application/javascript": [
       "/* Put everything inside the global mpl namespace */\n",
       "window.mpl = {};\n",
       "\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",
       "            if (mpl.ratio != 1) {\n",
       "                fig.send_message(\"set_dpi_ratio\", {'dpi_ratio': mpl.ratio});\n",
       "            }\n",
       "            fig.send_message(\"refresh\", {});\n",
       "        }\n",
       "\n",
       "    this.imageObj.onload = function() {\n",
       "            if (fig.image_mode == 'full') {\n",
       "                // Full images could contain transparency (where diff images\n",
       "                // almost always do), so we need to clear the canvas so that\n",
       "                // there is no ghosting.\n",
       "                fig.context.clearRect(0, 0, fig.canvas.width, fig.canvas.height);\n",
       "            }\n",
       "            fig.context.drawImage(fig.imageObj, 0, 0);\n",
       "        };\n",
       "\n",
       "    this.imageObj.onunload = function() {\n",
       "        fig.ws.close();\n",
       "    }\n",
       "\n",
       "    this.ws.onmessage = this._make_on_message_function(this);\n",
       "\n",
       "    this.ondownload = ondownload;\n",
       "}\n",
       "\n",
       "mpl.figure.prototype._init_header = function() {\n",
       "    var titlebar = $(\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 backingStore = this.context.backingStorePixelRatio ||\n",
       "\tthis.context.webkitBackingStorePixelRatio ||\n",
       "\tthis.context.mozBackingStorePixelRatio ||\n",
       "\tthis.context.msBackingStorePixelRatio ||\n",
       "\tthis.context.oBackingStorePixelRatio ||\n",
       "\tthis.context.backingStorePixelRatio || 1;\n",
       "\n",
       "    mpl.ratio = (window.devicePixelRatio || 1) / backingStore;\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 * mpl.ratio);\n",
       "        canvas.attr('height', height * mpl.ratio);\n",
       "        canvas.attr('style', 'width: ' + width + 'px; height: ' + height + 'px;');\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'] / mpl.ratio;\n",
       "    var y0 = (fig.canvas.height - msg['y0']) / mpl.ratio;\n",
       "    var x1 = msg['x1'] / mpl.ratio;\n",
       "    var y1 = (fig.canvas.height - msg['y1']) / mpl.ratio;\n",
       "    x0 = Math.floor(x0) + 0.5;\n",
       "    y0 = Math.floor(y0) + 0.5;\n",
       "    x1 = Math.floor(x1) + 0.5;\n",
       "    y1 = Math.floor(y1) + 0.5;\n",
       "    var min_x = Math.min(x0, x1);\n",
       "    var min_y = Math.min(y0, y1);\n",
       "    var width = Math.abs(x1 - x0);\n",
       "    var height = Math.abs(y1 - y0);\n",
       "\n",
       "    fig.rubberband_context.clearRect(\n",
       "        0, 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 * mpl.ratio;\n",
       "    var y = canvas_pos.y * mpl.ratio;\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\", \"pdf\", \"png\", \"ps\", \"raw\", \"svg\"];\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 overridden (by mpl) onmessage function.\n",
       "        ws.onmessage(msg['content']['data'])\n",
       "    });\n",
       "    return ws;\n",
       "}\n",
       "\n",
       "mpl.mpl_figure_comm = function(comm, msg) {\n",
       "    // This is the function which gets called when the mpl process\n",
       "    // starts-up an IPython Comm through the \"matplotlib\" channel.\n",
       "\n",
       "    var id = msg.content.data.id;\n",
       "    // Get hold of the div created by the display call when the Comm\n",
       "    // socket was opened in Python.\n",
       "    var element = $(\"#\" + 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",
       "    var width = fig.canvas.width/mpl.ratio\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 + '\" width=\"' + width + '\">');\n",
       "    fig.close_ws(fig, msg);\n",
       "}\n",
       "\n",
       "mpl.figure.prototype.close_ws = function(fig, msg){\n",
       "    fig.send_message('closing', msg);\n",
       "    // fig.ws.close()\n",
       "}\n",
       "\n",
       "mpl.figure.prototype.push_to_output = function(remove_interactive) {\n",
       "    // Turn the data on the canvas into data in the output cell.\n",
       "    var width = this.canvas.width/mpl.ratio\n",
       "    var dataURL = this.canvas.toDataURL();\n",
       "    this.cell_info[1]['text/html'] = '<img src=\"' + dataURL + '\" width=\"' + width + '\">';\n",
       "}\n",
       "\n",
       "mpl.figure.prototype.updated_canvas_event = function() {\n",
       "    // Tell IPython that the notebook contents must change.\n",
       "    IPython.notebook.set_dirty(true);\n",
       "    this.send_message(\"ack\", {});\n",
       "    var fig = this;\n",
       "    // Wait a second, then push the new image to the DOM so\n",
       "    // that it is saved nicely (might be nice to debounce this).\n",
       "    setTimeout(function () { 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>"
      ]
     },
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     "output_type": "display_data"
    },
    {
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\" width=\"640\">"
      ],
      "text/plain": [
       "<IPython.core.display.HTML object>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "application/javascript": [
       "/* Put everything inside the global mpl namespace */\n",
       "window.mpl = {};\n",
       "\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",
       "            if (mpl.ratio != 1) {\n",
       "                fig.send_message(\"set_dpi_ratio\", {'dpi_ratio': mpl.ratio});\n",
       "            }\n",
       "            fig.send_message(\"refresh\", {});\n",
       "        }\n",
       "\n",
       "    this.imageObj.onload = function() {\n",
       "            if (fig.image_mode == 'full') {\n",
       "                // Full images could contain transparency (where diff images\n",
       "                // almost always do), so we need to clear the canvas so that\n",
       "                // there is no ghosting.\n",
       "                fig.context.clearRect(0, 0, fig.canvas.width, fig.canvas.height);\n",
       "            }\n",
       "            fig.context.drawImage(fig.imageObj, 0, 0);\n",
       "        };\n",
       "\n",
       "    this.imageObj.onunload = function() {\n",
       "        fig.ws.close();\n",
       "    }\n",
       "\n",
       "    this.ws.onmessage = this._make_on_message_function(this);\n",
       "\n",
       "    this.ondownload = ondownload;\n",
       "}\n",
       "\n",
       "mpl.figure.prototype._init_header = function() {\n",
       "    var titlebar = $(\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 backingStore = this.context.backingStorePixelRatio ||\n",
       "\tthis.context.webkitBackingStorePixelRatio ||\n",
       "\tthis.context.mozBackingStorePixelRatio ||\n",
       "\tthis.context.msBackingStorePixelRatio ||\n",
       "\tthis.context.oBackingStorePixelRatio ||\n",
       "\tthis.context.backingStorePixelRatio || 1;\n",
       "\n",
       "    mpl.ratio = (window.devicePixelRatio || 1) / backingStore;\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 * mpl.ratio);\n",
       "        canvas.attr('height', height * mpl.ratio);\n",
       "        canvas.attr('style', 'width: ' + width + 'px; height: ' + height + 'px;');\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'] / mpl.ratio;\n",
       "    var y0 = (fig.canvas.height - msg['y0']) / mpl.ratio;\n",
       "    var x1 = msg['x1'] / mpl.ratio;\n",
       "    var y1 = (fig.canvas.height - msg['y1']) / mpl.ratio;\n",
       "    x0 = Math.floor(x0) + 0.5;\n",
       "    y0 = Math.floor(y0) + 0.5;\n",
       "    x1 = Math.floor(x1) + 0.5;\n",
       "    y1 = Math.floor(y1) + 0.5;\n",
       "    var min_x = Math.min(x0, x1);\n",
       "    var min_y = Math.min(y0, y1);\n",
       "    var width = Math.abs(x1 - x0);\n",
       "    var height = Math.abs(y1 - y0);\n",
       "\n",
       "    fig.rubberband_context.clearRect(\n",
       "        0, 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 * mpl.ratio;\n",
       "    var y = canvas_pos.y * mpl.ratio;\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\", \"pdf\", \"png\", \"ps\", \"raw\", \"svg\"];\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 overridden (by mpl) onmessage function.\n",
       "        ws.onmessage(msg['content']['data'])\n",
       "    });\n",
       "    return ws;\n",
       "}\n",
       "\n",
       "mpl.mpl_figure_comm = function(comm, msg) {\n",
       "    // This is the function which gets called when the mpl process\n",
       "    // starts-up an IPython Comm through the \"matplotlib\" channel.\n",
       "\n",
       "    var id = msg.content.data.id;\n",
       "    // Get hold of the div created by the display call when the Comm\n",
       "    // socket was opened in Python.\n",
       "    var element = $(\"#\" + 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",
       "    var width = fig.canvas.width/mpl.ratio\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 + '\" width=\"' + width + '\">');\n",
       "    fig.close_ws(fig, msg);\n",
       "}\n",
       "\n",
       "mpl.figure.prototype.close_ws = function(fig, msg){\n",
       "    fig.send_message('closing', msg);\n",
       "    // fig.ws.close()\n",
       "}\n",
       "\n",
       "mpl.figure.prototype.push_to_output = function(remove_interactive) {\n",
       "    // Turn the data on the canvas into data in the output cell.\n",
       "    var width = this.canvas.width/mpl.ratio\n",
       "    var dataURL = this.canvas.toDataURL();\n",
       "    this.cell_info[1]['text/html'] = '<img src=\"' + dataURL + '\" width=\"' + width + '\">';\n",
       "}\n",
       "\n",
       "mpl.figure.prototype.updated_canvas_event = function() {\n",
       "    // Tell IPython that the notebook contents must change.\n",
       "    IPython.notebook.set_dirty(true);\n",
       "    this.send_message(\"ack\", {});\n",
       "    var fig = this;\n",
       "    // Wait a second, then push the new image to the DOM so\n",
       "    // that it is saved nicely (might be nice to debounce this).\n",
       "    setTimeout(function () { 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": {
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\" width=\"640\">"
      ],
      "text/plain": [
       "<IPython.core.display.HTML object>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "application/vnd.jupyter.widget-view+json": {
       "model_id": "14b9fd58aec24236a356f6648ba6642b",
       "version_major": 2,
       "version_minor": 0
      },
      "text/plain": [
       "interactive(children=(FloatSlider(value=1.0, description='a_1', max=10.0), FloatSlider(value=1.0, description=…"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "def partizan_war_model(t, y, a_1, a_2, b_1, b_2, g_1, g_2):\n",
    "    return np.array([-a_1*y[0] - b_2*y[1] + g_1, -a_2*y[1] - b_1*y[0]*y[1] + g_2])\n",
    "\n",
    "fig = plt.figure()\n",
    "ax = fig.add_subplot(111)\n",
    "ax.grid()\n",
    "ax.legend(['Армия 1', 'Партизаны'])\n",
    "\n",
    "fig1 = plt.figure()\n",
    "ax1 = fig1.add_subplot(111)\n",
    "ax1.grid()\n",
    "plt.xlabel('Страна 1')\n",
    "\n",
    "\n",
    "def partizan_war_plotter(a_1, a_2, b_1, b_2, g_1, g_2, max_time, start_value_N, start_value_M):\n",
    "    ax.clear()\n",
    "    ax1.clear()\n",
    "    ax1.grid()\n",
    "    ax.grid()\n",
    "    plt.xlabel('Армия 1')\n",
    "    plt.ylabel('Партизаны')\n",
    "\n",
    "    solve = solve_ivp(lambda t, y: partizan_war_model(t, y, a_1, a_2, b_1, b_2, g_1, g_2),\n",
    "                      (0,max_time), [start_value_N, start_value_M], method = 'RK23')\n",
    "    \n",
    "    l1, = ax.plot(solve['t'][(solve['y'][0]>-1) & (solve['y'][1]>-1)], solve['y'][0][(solve['y'][0]>-1) & (solve['y'][1]>-1)])\n",
    "    l2, = ax.plot(solve['t'][(solve['y'][0]>-1) & (solve['y'][1]>-1)], solve['y'][1][(solve['y'][0]>-1) & (solve['y'][1]>-1)])\n",
    "    ax1.plot(solve['y'][0][(solve['y'][0]>-1) & (solve['y'][1]>-1)], solve['y'][1][(solve['y'][0]>-1) & (solve['y'][1]>-1)])\n",
    "    ax.legend((l1, l2), ('Армия 1', 'Партизаны'))\n",
    "interact(partizan_war_plotter,\n",
    "    a_1=widgets.FloatSlider(min=0, max=10, step=0.1, value=1),\n",
    "    a_2=widgets.FloatSlider(min=0, max=10, step=0.1, value=1),\n",
    "    b_1=widgets.FloatSlider(min=0, max=10, step=0.1, value=1),\n",
    "    b_2=widgets.FloatSlider(min=0, max=10, step=0.1, value=1),\n",
    "    g_1=widgets.FloatSlider(min=0, max=10, step=0.1, value=1),\n",
    "    g_2=widgets.FloatSlider(min=0, max=10, step=0.1, value=1),\n",
    "    max_time=widgets.IntSlider(min=4, max=400, step=1, value=5),\n",
    "    start_value_N=widgets.IntSlider(min=2, max=200, step=10, value=10,style = style),\n",
    "    start_value_M=widgets.IntSlider(min=2, max=200, step=10, value=10,style = style)\n",
    ");"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## усложнение модели"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 26,
   "metadata": {
    "ExecuteTime": {
     "end_time": "2018-11-15T14:41:54.129791Z",
     "start_time": "2018-11-15T14:41:53.947750Z"
    },
    "scrolled": false
   },
   "outputs": [
    {
     "data": {
      "application/javascript": [
       "/* Put everything inside the global mpl namespace */\n",
       "window.mpl = {};\n",
       "\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",
       "            if (mpl.ratio != 1) {\n",
       "                fig.send_message(\"set_dpi_ratio\", {'dpi_ratio': mpl.ratio});\n",
       "            }\n",
       "            fig.send_message(\"refresh\", {});\n",
       "        }\n",
       "\n",
       "    this.imageObj.onload = function() {\n",
       "            if (fig.image_mode == 'full') {\n",
       "                // Full images could contain transparency (where diff images\n",
       "                // almost always do), so we need to clear the canvas so that\n",
       "                // there is no ghosting.\n",
       "                fig.context.clearRect(0, 0, fig.canvas.width, fig.canvas.height);\n",
       "            }\n",
       "            fig.context.drawImage(fig.imageObj, 0, 0);\n",
       "        };\n",
       "\n",
       "    this.imageObj.onunload = function() {\n",
       "        fig.ws.close();\n",
       "    }\n",
       "\n",
       "    this.ws.onmessage = this._make_on_message_function(this);\n",
       "\n",
       "    this.ondownload = ondownload;\n",
       "}\n",
       "\n",
       "mpl.figure.prototype._init_header = function() {\n",
       "    var titlebar = $(\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 backingStore = this.context.backingStorePixelRatio ||\n",
       "\tthis.context.webkitBackingStorePixelRatio ||\n",
       "\tthis.context.mozBackingStorePixelRatio ||\n",
       "\tthis.context.msBackingStorePixelRatio ||\n",
       "\tthis.context.oBackingStorePixelRatio ||\n",
       "\tthis.context.backingStorePixelRatio || 1;\n",
       "\n",
       "    mpl.ratio = (window.devicePixelRatio || 1) / backingStore;\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 * mpl.ratio);\n",
       "        canvas.attr('height', height * mpl.ratio);\n",
       "        canvas.attr('style', 'width: ' + width + 'px; height: ' + height + 'px;');\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'] / mpl.ratio;\n",
       "    var y0 = (fig.canvas.height - msg['y0']) / mpl.ratio;\n",
       "    var x1 = msg['x1'] / mpl.ratio;\n",
       "    var y1 = (fig.canvas.height - msg['y1']) / mpl.ratio;\n",
       "    x0 = Math.floor(x0) + 0.5;\n",
       "    y0 = Math.floor(y0) + 0.5;\n",
       "    x1 = Math.floor(x1) + 0.5;\n",
       "    y1 = Math.floor(y1) + 0.5;\n",
       "    var min_x = Math.min(x0, x1);\n",
       "    var min_y = Math.min(y0, y1);\n",
       "    var width = Math.abs(x1 - x0);\n",
       "    var height = Math.abs(y1 - y0);\n",
       "\n",
       "    fig.rubberband_context.clearRect(\n",
       "        0, 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 * mpl.ratio;\n",
       "    var y = canvas_pos.y * mpl.ratio;\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\", \"pdf\", \"png\", \"ps\", \"raw\", \"svg\"];\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 overridden (by mpl) onmessage function.\n",
       "        ws.onmessage(msg['content']['data'])\n",
       "    });\n",
       "    return ws;\n",
       "}\n",
       "\n",
       "mpl.mpl_figure_comm = function(comm, msg) {\n",
       "    // This is the function which gets called when the mpl process\n",
       "    // starts-up an IPython Comm through the \"matplotlib\" channel.\n",
       "\n",
       "    var id = msg.content.data.id;\n",
       "    // Get hold of the div created by the display call when the Comm\n",
       "    // socket was opened in Python.\n",
       "    var element = $(\"#\" + 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",
       "    var width = fig.canvas.width/mpl.ratio\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 + '\" width=\"' + width + '\">');\n",
       "    fig.close_ws(fig, msg);\n",
       "}\n",
       "\n",
       "mpl.figure.prototype.close_ws = function(fig, msg){\n",
       "    fig.send_message('closing', msg);\n",
       "    // fig.ws.close()\n",
       "}\n",
       "\n",
       "mpl.figure.prototype.push_to_output = function(remove_interactive) {\n",
       "    // Turn the data on the canvas into data in the output cell.\n",
       "    var width = this.canvas.width/mpl.ratio\n",
       "    var dataURL = this.canvas.toDataURL();\n",
       "    this.cell_info[1]['text/html'] = '<img src=\"' + dataURL + '\" width=\"' + width + '\">';\n",
       "}\n",
       "\n",
       "mpl.figure.prototype.updated_canvas_event = function() {\n",
       "    // Tell IPython that the notebook contents must change.\n",
       "    IPython.notebook.set_dirty(true);\n",
       "    this.send_message(\"ack\", {});\n",
       "    var fig = this;\n",
       "    // Wait a second, then push the new image to the DOM so\n",
       "    // that it is saved nicely (might be nice to debounce this).\n",
       "    setTimeout(function () { 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": {
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\" width=\"640\">"
      ],
      "text/plain": [
       "<IPython.core.display.HTML object>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "application/javascript": [
       "/* Put everything inside the global mpl namespace */\n",
       "window.mpl = {};\n",
       "\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",
       "            if (mpl.ratio != 1) {\n",
       "                fig.send_message(\"set_dpi_ratio\", {'dpi_ratio': mpl.ratio});\n",
       "            }\n",
       "            fig.send_message(\"refresh\", {});\n",
       "        }\n",
       "\n",
       "    this.imageObj.onload = function() {\n",
       "            if (fig.image_mode == 'full') {\n",
       "                // Full images could contain transparency (where diff images\n",
       "                // almost always do), so we need to clear the canvas so that\n",
       "                // there is no ghosting.\n",
       "                fig.context.clearRect(0, 0, fig.canvas.width, fig.canvas.height);\n",
       "            }\n",
       "            fig.context.drawImage(fig.imageObj, 0, 0);\n",
       "        };\n",
       "\n",
       "    this.imageObj.onunload = function() {\n",
       "        fig.ws.close();\n",
       "    }\n",
       "\n",
       "    this.ws.onmessage = this._make_on_message_function(this);\n",
       "\n",
       "    this.ondownload = ondownload;\n",
       "}\n",
       "\n",
       "mpl.figure.prototype._init_header = function() {\n",
       "    var titlebar = $(\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 backingStore = this.context.backingStorePixelRatio ||\n",
       "\tthis.context.webkitBackingStorePixelRatio ||\n",
       "\tthis.context.mozBackingStorePixelRatio ||\n",
       "\tthis.context.msBackingStorePixelRatio ||\n",
       "\tthis.context.oBackingStorePixelRatio ||\n",
       "\tthis.context.backingStorePixelRatio || 1;\n",
       "\n",
       "    mpl.ratio = (window.devicePixelRatio || 1) / backingStore;\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 * mpl.ratio);\n",
       "        canvas.attr('height', height * mpl.ratio);\n",
       "        canvas.attr('style', 'width: ' + width + 'px; height: ' + height + 'px;');\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'] / mpl.ratio;\n",
       "    var y0 = (fig.canvas.height - msg['y0']) / mpl.ratio;\n",
       "    var x1 = msg['x1'] / mpl.ratio;\n",
       "    var y1 = (fig.canvas.height - msg['y1']) / mpl.ratio;\n",
       "    x0 = Math.floor(x0) + 0.5;\n",
       "    y0 = Math.floor(y0) + 0.5;\n",
       "    x1 = Math.floor(x1) + 0.5;\n",
       "    y1 = Math.floor(y1) + 0.5;\n",
       "    var min_x = Math.min(x0, x1);\n",
       "    var min_y = Math.min(y0, y1);\n",
       "    var width = Math.abs(x1 - x0);\n",
       "    var height = Math.abs(y1 - y0);\n",
       "\n",
       "    fig.rubberband_context.clearRect(\n",
       "        0, 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 * mpl.ratio;\n",
       "    var y = canvas_pos.y * mpl.ratio;\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\", \"pdf\", \"png\", \"ps\", \"raw\", \"svg\"];\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 overridden (by mpl) onmessage function.\n",
       "        ws.onmessage(msg['content']['data'])\n",
       "    });\n",
       "    return ws;\n",
       "}\n",
       "\n",
       "mpl.mpl_figure_comm = function(comm, msg) {\n",
       "    // This is the function which gets called when the mpl process\n",
       "    // starts-up an IPython Comm through the \"matplotlib\" channel.\n",
       "\n",
       "    var id = msg.content.data.id;\n",
       "    // Get hold of the div created by the display call when the Comm\n",
       "    // socket was opened in Python.\n",
       "    var element = $(\"#\" + 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",
       "    var width = fig.canvas.width/mpl.ratio\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 + '\" width=\"' + width + '\">');\n",
       "    fig.close_ws(fig, msg);\n",
       "}\n",
       "\n",
       "mpl.figure.prototype.close_ws = function(fig, msg){\n",
       "    fig.send_message('closing', msg);\n",
       "    // fig.ws.close()\n",
       "}\n",
       "\n",
       "mpl.figure.prototype.push_to_output = function(remove_interactive) {\n",
       "    // Turn the data on the canvas into data in the output cell.\n",
       "    var width = this.canvas.width/mpl.ratio\n",
       "    var dataURL = this.canvas.toDataURL();\n",
       "    this.cell_info[1]['text/html'] = '<img src=\"' + dataURL + '\" width=\"' + width + '\">';\n",
       "}\n",
       "\n",
       "mpl.figure.prototype.updated_canvas_event = function() {\n",
       "    // Tell IPython that the notebook contents must change.\n",
       "    IPython.notebook.set_dirty(true);\n",
       "    this.send_message(\"ack\", {});\n",
       "    var fig = this;\n",
       "    // Wait a second, then push the new image to the DOM so\n",
       "    // that it is saved nicely (might be nice to debounce this).\n",
       "    setTimeout(function () { 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": {
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\" width=\"640\">"
      ],
      "text/plain": [
       "<IPython.core.display.HTML object>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "application/vnd.jupyter.widget-view+json": {
       "model_id": "791f04f849054c59b6d4c700babab384",
       "version_major": 2,
       "version_minor": 0
      },
      "text/plain": [
       "interactive(children=(Dropdown(description='a_1', options=(<function fa_1 at 0x0000011C7A814E18>, <function fa…"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "def regular_war_model1(t, y, a_1, a_2, b_1, b_2, g_1, g_2):\n",
    "    return np.array([-a_1(t)*y[0] - b_2(t)*y[1] + g_1, -a_2(t)*y[1] - b_1(t)*y[0] + g_2])\n",
    "\n",
    "fig = plt.figure()\n",
    "ax = fig.add_subplot(111)\n",
    "ax.grid()\n",
    "ax.legend(['Армия 1', 'Армия 2'])\n",
    "\n",
    "fig1 = plt.figure()\n",
    "ax1 = fig1.add_subplot(111)\n",
    "ax1.grid()\n",
    "plt.xlabel('Страна 1')\n",
    "\n",
    "\n",
    "def regular_war_plotter1(a_1, a_2, b_1, b_2, g_1, g_2, max_time, start_value_N, start_value_M):\n",
    "    ax.clear()\n",
    "    ax1.clear()\n",
    "    ax1.grid()\n",
    "    ax.grid()\n",
    "    plt.xlabel('Армия 1')\n",
    "    plt.ylabel('Армия 2')\n",
    "\n",
    "    solve = solve_ivp(lambda t, y: regular_war_model1(t, y, a_1, a_2, b_1, b_2, g_1, g_2),\n",
    "                      (0,max_time), [start_value_N, start_value_M], method = 'RK23')\n",
    "    \n",
    "    l1, = ax.plot(solve['t'][(solve['y'][0]>-1) & (solve['y'][1]>-1)], solve['y'][0][(solve['y'][0]>-1) & (solve['y'][1]>-1)])\n",
    "    l2, = ax.plot(solve['t'][(solve['y'][0]>-1) & (solve['y'][1]>-1)], solve['y'][1][(solve['y'][0]>-1) & (solve['y'][1]>-1)])\n",
    "    ax1.plot(solve['y'][0][(solve['y'][0]>-1) & (solve['y'][1]>-1)], solve['y'][1][(solve['y'][0]>-1) & (solve['y'][1]>-1)])\n",
    "    ax.legend((l1, l2), ('Армия 1', 'Армия 2'))\n",
    "    \n",
    "\n",
    "    \n",
    "def fa_1(t):\n",
    "    return 1 + 1/(1+t**0.5)\n",
    "\n",
    "def fa_2(t): \n",
    "    return 1 + 1/(1+t**0.7)\n",
    "\n",
    "def fa_3(t):\n",
    "    return 0*t\n",
    "\n",
    "def fb_1(t):\n",
    "    return 0.8 + (-t**2+50*t)/1000\n",
    "\n",
    "def fb_2(t): \n",
    "    return 1 + (-t**2+30*t)/1000\n",
    "\n",
    "def fb_3(t):\n",
    "    return 0*t\n",
    "\n",
    "def q(t):\n",
    "    return 1 + 0*t\n",
    "\n",
    "interact(regular_war_plotter1,\n",
    "    a_1=[fa_1, fa_2, fa_3],\n",
    "    a_2=[fa_1, fa_2, fa_3],\n",
    "    b_1=[fb_1, fb_2, fb_3],\n",
    "    b_2=[fb_1, fb_2, fb_3],\n",
    "    g_1=widgets.FloatSlider(min=0, max=1, step=0.1, value=0.4),\n",
    "    g_2=widgets.FloatSlider(min=0, max=1, step=0.1, value=0.4),\n",
    "    max_time=widgets.IntSlider(min=4, max=400, step=1, value=5),\n",
    "    start_value_N=widgets.IntSlider(min=10, max=20000, step=100, value=1000,style = style),\n",
    "    start_value_M=widgets.IntSlider(min=10, max=20000, step=100, value=1000,style = style)\n",
    ");"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 27,
   "metadata": {
    "ExecuteTime": {
     "end_time": "2018-11-15T14:43:27.396512Z",
     "start_time": "2018-11-15T14:43:27.212471Z"
    }
   },
   "outputs": [
    {
     "data": {
      "application/javascript": [
       "/* Put everything inside the global mpl namespace */\n",
       "window.mpl = {};\n",
       "\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",
       "            if (mpl.ratio != 1) {\n",
       "                fig.send_message(\"set_dpi_ratio\", {'dpi_ratio': mpl.ratio});\n",
       "            }\n",
       "            fig.send_message(\"refresh\", {});\n",
       "        }\n",
       "\n",
       "    this.imageObj.onload = function() {\n",
       "            if (fig.image_mode == 'full') {\n",
       "                // Full images could contain transparency (where diff images\n",
       "                // almost always do), so we need to clear the canvas so that\n",
       "                // there is no ghosting.\n",
       "                fig.context.clearRect(0, 0, fig.canvas.width, fig.canvas.height);\n",
       "            }\n",
       "            fig.context.drawImage(fig.imageObj, 0, 0);\n",
       "        };\n",
       "\n",
       "    this.imageObj.onunload = function() {\n",
       "        fig.ws.close();\n",
       "    }\n",
       "\n",
       "    this.ws.onmessage = this._make_on_message_function(this);\n",
       "\n",
       "    this.ondownload = ondownload;\n",
       "}\n",
       "\n",
       "mpl.figure.prototype._init_header = function() {\n",
       "    var titlebar = $(\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 backingStore = this.context.backingStorePixelRatio ||\n",
       "\tthis.context.webkitBackingStorePixelRatio ||\n",
       "\tthis.context.mozBackingStorePixelRatio ||\n",
       "\tthis.context.msBackingStorePixelRatio ||\n",
       "\tthis.context.oBackingStorePixelRatio ||\n",
       "\tthis.context.backingStorePixelRatio || 1;\n",
       "\n",
       "    mpl.ratio = (window.devicePixelRatio || 1) / backingStore;\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 * mpl.ratio);\n",
       "        canvas.attr('height', height * mpl.ratio);\n",
       "        canvas.attr('style', 'width: ' + width + 'px; height: ' + height + 'px;');\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'] / mpl.ratio;\n",
       "    var y0 = (fig.canvas.height - msg['y0']) / mpl.ratio;\n",
       "    var x1 = msg['x1'] / mpl.ratio;\n",
       "    var y1 = (fig.canvas.height - msg['y1']) / mpl.ratio;\n",
       "    x0 = Math.floor(x0) + 0.5;\n",
       "    y0 = Math.floor(y0) + 0.5;\n",
       "    x1 = Math.floor(x1) + 0.5;\n",
       "    y1 = Math.floor(y1) + 0.5;\n",
       "    var min_x = Math.min(x0, x1);\n",
       "    var min_y = Math.min(y0, y1);\n",
       "    var width = Math.abs(x1 - x0);\n",
       "    var height = Math.abs(y1 - y0);\n",
       "\n",
       "    fig.rubberband_context.clearRect(\n",
       "        0, 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 * mpl.ratio;\n",
       "    var y = canvas_pos.y * mpl.ratio;\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\", \"pdf\", \"png\", \"ps\", \"raw\", \"svg\"];\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 overridden (by mpl) onmessage function.\n",
       "        ws.onmessage(msg['content']['data'])\n",
       "    });\n",
       "    return ws;\n",
       "}\n",
       "\n",
       "mpl.mpl_figure_comm = function(comm, msg) {\n",
       "    // This is the function which gets called when the mpl process\n",
       "    // starts-up an IPython Comm through the \"matplotlib\" channel.\n",
       "\n",
       "    var id = msg.content.data.id;\n",
       "    // Get hold of the div created by the display call when the Comm\n",
       "    // socket was opened in Python.\n",
       "    var element = $(\"#\" + 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",
       "    var width = fig.canvas.width/mpl.ratio\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 + '\" width=\"' + width + '\">');\n",
       "    fig.close_ws(fig, msg);\n",
       "}\n",
       "\n",
       "mpl.figure.prototype.close_ws = function(fig, msg){\n",
       "    fig.send_message('closing', msg);\n",
       "    // fig.ws.close()\n",
       "}\n",
       "\n",
       "mpl.figure.prototype.push_to_output = function(remove_interactive) {\n",
       "    // Turn the data on the canvas into data in the output cell.\n",
       "    var width = this.canvas.width/mpl.ratio\n",
       "    var dataURL = this.canvas.toDataURL();\n",
       "    this.cell_info[1]['text/html'] = '<img src=\"' + dataURL + '\" width=\"' + width + '\">';\n",
       "}\n",
       "\n",
       "mpl.figure.prototype.updated_canvas_event = function() {\n",
       "    // Tell IPython that the notebook contents must change.\n",
       "    IPython.notebook.set_dirty(true);\n",
       "    this.send_message(\"ack\", {});\n",
       "    var fig = this;\n",
       "    // Wait a second, then push the new image to the DOM so\n",
       "    // that it is saved nicely (might be nice to debounce this).\n",
       "    setTimeout(function () { 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"
    },
    {
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\" width=\"640\">"
      ],
      "text/plain": [
       "<IPython.core.display.HTML object>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "application/javascript": [
       "/* Put everything inside the global mpl namespace */\n",
       "window.mpl = {};\n",
       "\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",
       "            if (mpl.ratio != 1) {\n",
       "                fig.send_message(\"set_dpi_ratio\", {'dpi_ratio': mpl.ratio});\n",
       "            }\n",
       "            fig.send_message(\"refresh\", {});\n",
       "        }\n",
       "\n",
       "    this.imageObj.onload = function() {\n",
       "            if (fig.image_mode == 'full') {\n",
       "                // Full images could contain transparency (where diff images\n",
       "                // almost always do), so we need to clear the canvas so that\n",
       "                // there is no ghosting.\n",
       "                fig.context.clearRect(0, 0, fig.canvas.width, fig.canvas.height);\n",
       "            }\n",
       "            fig.context.drawImage(fig.imageObj, 0, 0);\n",
       "        };\n",
       "\n",
       "    this.imageObj.onunload = function() {\n",
       "        fig.ws.close();\n",
       "    }\n",
       "\n",
       "    this.ws.onmessage = this._make_on_message_function(this);\n",
       "\n",
       "    this.ondownload = ondownload;\n",
       "}\n",
       "\n",
       "mpl.figure.prototype._init_header = function() {\n",
       "    var titlebar = $(\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 backingStore = this.context.backingStorePixelRatio ||\n",
       "\tthis.context.webkitBackingStorePixelRatio ||\n",
       "\tthis.context.mozBackingStorePixelRatio ||\n",
       "\tthis.context.msBackingStorePixelRatio ||\n",
       "\tthis.context.oBackingStorePixelRatio ||\n",
       "\tthis.context.backingStorePixelRatio || 1;\n",
       "\n",
       "    mpl.ratio = (window.devicePixelRatio || 1) / backingStore;\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 * mpl.ratio);\n",
       "        canvas.attr('height', height * mpl.ratio);\n",
       "        canvas.attr('style', 'width: ' + width + 'px; height: ' + height + 'px;');\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'] / mpl.ratio;\n",
       "    var y0 = (fig.canvas.height - msg['y0']) / mpl.ratio;\n",
       "    var x1 = msg['x1'] / mpl.ratio;\n",
       "    var y1 = (fig.canvas.height - msg['y1']) / mpl.ratio;\n",
       "    x0 = Math.floor(x0) + 0.5;\n",
       "    y0 = Math.floor(y0) + 0.5;\n",
       "    x1 = Math.floor(x1) + 0.5;\n",
       "    y1 = Math.floor(y1) + 0.5;\n",
       "    var min_x = Math.min(x0, x1);\n",
       "    var min_y = Math.min(y0, y1);\n",
       "    var width = Math.abs(x1 - x0);\n",
       "    var height = Math.abs(y1 - y0);\n",
       "\n",
       "    fig.rubberband_context.clearRect(\n",
       "        0, 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 * mpl.ratio;\n",
       "    var y = canvas_pos.y * mpl.ratio;\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\", \"pdf\", \"png\", \"ps\", \"raw\", \"svg\"];\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 overridden (by mpl) onmessage function.\n",
       "        ws.onmessage(msg['content']['data'])\n",
       "    });\n",
       "    return ws;\n",
       "}\n",
       "\n",
       "mpl.mpl_figure_comm = function(comm, msg) {\n",
       "    // This is the function which gets called when the mpl process\n",
       "    // starts-up an IPython Comm through the \"matplotlib\" channel.\n",
       "\n",
       "    var id = msg.content.data.id;\n",
       "    // Get hold of the div created by the display call when the Comm\n",
       "    // socket was opened in Python.\n",
       "    var element = $(\"#\" + 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",
       "    var width = fig.canvas.width/mpl.ratio\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 + '\" width=\"' + width + '\">');\n",
       "    fig.close_ws(fig, msg);\n",
       "}\n",
       "\n",
       "mpl.figure.prototype.close_ws = function(fig, msg){\n",
       "    fig.send_message('closing', msg);\n",
       "    // fig.ws.close()\n",
       "}\n",
       "\n",
       "mpl.figure.prototype.push_to_output = function(remove_interactive) {\n",
       "    // Turn the data on the canvas into data in the output cell.\n",
       "    var width = this.canvas.width/mpl.ratio\n",
       "    var dataURL = this.canvas.toDataURL();\n",
       "    this.cell_info[1]['text/html'] = '<img src=\"' + dataURL + '\" width=\"' + width + '\">';\n",
       "}\n",
       "\n",
       "mpl.figure.prototype.updated_canvas_event = function() {\n",
       "    // Tell IPython that the notebook contents must change.\n",
       "    IPython.notebook.set_dirty(true);\n",
       "    this.send_message(\"ack\", {});\n",
       "    var fig = this;\n",
       "    // Wait a second, then push the new image to the DOM so\n",
       "    // that it is saved nicely (might be nice to debounce this).\n",
       "    setTimeout(function () { 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": {
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width=\"640\">"
      ],
      "text/plain": [
       "<IPython.core.display.HTML object>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "application/vnd.jupyter.widget-view+json": {
       "model_id": "0a1a99a488464a01975b73bde0ac4108",
       "version_major": 2,
       "version_minor": 0
      },
      "text/plain": [
       "interactive(children=(Dropdown(description='a_1', options=(<function fa_1 at 0x0000011C7BAA48C8>, <function fa…"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "def partizan_war_model1(t, y, a_1, a_2, b_1, b_2, g_1, g_2):\n",
    "    return np.array([-a_1(t)*y[0] - b_2(t)*y[1] + g_1, -a_2(t)*y[1] - b_1(t)*y[0]*y[1] + g_2])\n",
    "\n",
    "fig = plt.figure()\n",
    "ax = fig.add_subplot(111)\n",
    "ax.grid()\n",
    "ax.legend(['Армия 1', 'Армия 2'])\n",
    "\n",
    "fig1 = plt.figure()\n",
    "ax1 = fig1.add_subplot(111)\n",
    "ax1.grid()\n",
    "plt.xlabel('Страна 1')\n",
    "\n",
    "\n",
    "def partizan_war_plotter1(a_1, a_2, b_1, b_2, g_1, g_2, max_time, start_value_N, start_value_M):\n",
    "    ax.clear()\n",
    "    ax1.clear()\n",
    "    ax1.grid()\n",
    "    ax.grid()\n",
    "    plt.xlabel('Армия 1')\n",
    "    plt.ylabel('Армия 2')\n",
    "\n",
    "    solve = solve_ivp(lambda t, y: regular_war_model1(t, y, a_1, a_2, b_1, b_2, g_1, g_2),\n",
    "                      (0,max_time), [start_value_N, start_value_M], method = 'RK23')\n",
    "    \n",
    "    l1, = ax.plot(solve['t'][(solve['y'][0]>-1) & (solve['y'][1]>-1)], solve['y'][0][(solve['y'][0]>-1) & (solve['y'][1]>-1)])\n",
    "    l2, = ax.plot(solve['t'][(solve['y'][0]>-1) & (solve['y'][1]>-1)], solve['y'][1][(solve['y'][0]>-1) & (solve['y'][1]>-1)])\n",
    "    ax1.plot(solve['y'][0][(solve['y'][0]>-1) & (solve['y'][1]>-1)], solve['y'][1][(solve['y'][0]>-1) & (solve['y'][1]>-1)])\n",
    "    ax.legend((l1, l2), ('Армия 1', 'Армия 2'))\n",
    "    \n",
    "\n",
    "    \n",
    "def fa_1(t):\n",
    "    return 1 + 1/(1+t**0.5)\n",
    "\n",
    "def fa_2(t): \n",
    "    return 1 + 1/(1+t**0.9)\n",
    "\n",
    "def fa_3(t):\n",
    "    return 0*t\n",
    "\n",
    "def fb_1(t):\n",
    "    return 0.8 + (-t**2+50*t)/1000\n",
    "\n",
    "def fb_2(t): \n",
    "    return 3\n",
    "\n",
    "def fb_3(t):\n",
    "    return 0*t\n",
    "\n",
    "def q(t):\n",
    "    return 1 + 0*t\n",
    "\n",
    "interact(partizan_war_plotter1,\n",
    "    a_1=[fa_1, fa_2, fa_3],\n",
    "    a_2=[fa_1, fa_2, fa_3],\n",
    "    b_1=[fb_1, fb_2, fb_3],\n",
    "    b_2=[fb_1, fb_2, fb_3],\n",
    "    g_1=widgets.FloatSlider(min=0, max=1, step=0.1, value=0.4),\n",
    "    g_2=widgets.FloatSlider(min=0, max=1, step=0.1, value=0.4),\n",
    "    max_time=widgets.IntSlider(min=4, max=400, step=1, value=5),\n",
    "    start_value_N=widgets.IntSlider(min=10, max=200, step=10, value=10,style = style),\n",
    "    start_value_M=widgets.IntSlider(min=10, max=200, step=10, value=10,style = style)\n",
    ");"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": []
  },
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   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": []
  },
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   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": []
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": []
  }
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