lab6.ipynb

{
 "cells": [
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": [
    "def diff_scheme(u, lambd):\n",
    "    return ( u[2] - u[1] )*(k0 + k1*(u[1]**2 + u[2]**2)/2) - \\\n",
    "                (u[1] - u[0])*(k0 + k1*( u[1]**2 + u[0]**2 )/2) + h**2 * lambd * u[1]\n",
    "\n",
    "    \n",
    "def board_cond(u, N):\n",
    "    return u[int(N/2) + 1] - u[int(N/2) -1] - 2*h\n",
    "\n",
    "\n",
    "def right_part(x, u):\n",
    "    \n",
    "    N = len(u) - 1\n",
    "            \n",
    "    F_1 = diff_scheme([0, u[0], u[1]], u[-1])\n",
    "    F_k = [ diff_scheme(u[i-1:i+2], u[-1]) for i in range(1, N - 1) ]\n",
    "    F_N = diff_scheme([u[N-2], u[N-1], 0], u[-1])\n",
    "    \n",
    "    F = np.append( F_1, F_k )\n",
    "    F = np.append( F, F_N )\n",
    "    F = np.append( F, board_cond(u, N))\n",
    "    \n",
    "    return F"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 17,
   "metadata": {
    "scrolled": false
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Число отрезков: 8\n",
      "Iteration: 0\n",
      "||dx||: 73979.30060720323\n",
      "Iteration: 1\n",
      "||dx||: 972.4115304750726\n",
      "Iteration: 2\n",
      "||dx||: 261324.19220306745\n",
      "Iteration: 3\n",
      "||dx||: 19551.88929866259\n",
      "Iteration: 4\n",
      "||dx||: 22083.297022031373\n",
      "Iteration: 5\n",
      "||dx||: 23760.186617864285\n",
      "Iteration: 6\n",
      "||dx||: 1077.894767486189\n",
      "Iteration: 7\n",
      "||dx||: 522.0464142209395\n",
      "Iteration: 8\n",
      "||dx||: 151.7265161649589\n",
      "Iteration: 9\n",
      "||dx||: 10.601941800150646\n",
      "Iteration: 10\n",
      "||dx||: 0.22274644188756068\n",
      "Iteration: 11\n",
      "||dx||: 2.1951799186811937e-05\n",
      "Iteration: 12\n",
      "||dx||: 5.026716366293936e-13\n",
      "Число отрезков: 16\n",
      "Iteration: 0\n",
      "||dx||: 2128.0035048982477\n",
      "Iteration: 1\n",
      "||dx||: 265.81092455442\n",
      "Iteration: 2\n",
      "||dx||: 4.92952108839862\n",
      "Iteration: 3\n",
      "||dx||: 0.002487342809491199\n",
      "Iteration: 4\n",
      "||dx||: 8.261001846898409e-09\n",
      "Iteration: 5\n",
      "||dx||: 2.512138854634286e-19\n",
      "Число отрезков: 32\n",
      "Iteration: 0\n",
      "||dx||: 1157.490839365748\n",
      "Iteration: 1\n",
      "||dx||: 42.232623483617715\n",
      "Iteration: 2\n",
      "||dx||: 0.15331851856430254\n",
      "Iteration: 3\n",
      "||dx||: 5.693863798334996e-05\n",
      "Iteration: 4\n",
      "||dx||: 1.180748897948114e-12\n",
      "Iteration: 5\n",
      "||dx||: 1.5465693395187633e-25\n",
      "Число отрезков: 64\n",
      "Iteration: 0\n",
      "||dx||: 840.307710382369\n",
      "Iteration: 1\n",
      "||dx||: 1.0932703617524928\n",
      "Iteration: 2\n",
      "||dx||: 0.00123443905542839\n",
      "Iteration: 3\n",
      "||dx||: 6.316837544544981e-10\n",
      "Iteration: 4\n",
      "||dx||: 2.781607579500013e-22\n",
      "Число отрезков: 128\n",
      "Iteration: 0\n",
      "||dx||: 791.0235942283088\n",
      "Iteration: 1\n",
      "||dx||: 0.01681796434678498\n",
      "Iteration: 2\n",
      "||dx||: 5.229192029487025e-07\n",
      "Iteration: 3\n",
      "||dx||: 1.185668406759978e-16\n",
      "Число отрезков: 256\n",
      "Iteration: 0\n",
      "||dx||: 784.8912032357489\n",
      "Iteration: 1\n",
      "||dx||: 0.00021452271234572356\n",
      "Iteration: 2\n",
      "||dx||: 1.2097534644570003e-10\n",
      "Iteration: 3\n",
      "||dx||: 6.5839668810464025e-24\n",
      "Число отрезков: 512\n",
      "Iteration: 0\n",
      "||dx||: 784.2250284532282\n",
      "Iteration: 1\n",
      "||dx||: 2.0030182547154693e-06\n",
      "Iteration: 2\n",
      "||dx||: 1.7360411326649842e-14\n"
     ]
    }
   ],
   "source": [
    "import numpy as np\n",
    "from numpy import exp\n",
    "\n",
    "def matprint(mat, fmt=\"g\"):\n",
    "    col_maxes = [max([len((\"{:\"+fmt+\"}\").format(x)) for x in col]) for col in mat.T]\n",
    "    for x in mat:\n",
    "        for i, y in enumerate(x):\n",
    "            print((\"{:\"+str(col_maxes[i])+fmt+\"}\").format(y), end=\"  \")\n",
    "        print(\"\")\n",
    "\n",
    "def mult(a, b):\n",
    "    res = np.matrix(np.zeros(a.shape), dtype = np.float64)\n",
    "    for i in range(a.shape[0]):\n",
    "        res[i] = a[i]*b[i]\n",
    "    return res\n",
    "\n",
    "def NewtonSolver(f, u0, eps=10**-12, h = 10**-5):\n",
    "    global N, x\n",
    "    u = u0\n",
    "    dx = np.matrix(np.ones(u0.shape), dtype = np.float64)\n",
    "    i = 0\n",
    "    fu = np.zeros( (u0.shape[0], u0.shape[0]), dtype = np.float64)\n",
    "    while (sum(mult(dx,dx)).item(0))**1/2 > eps:\n",
    "        print(\"Iteration:\", i)\n",
    "        i+=1\n",
    "        du = np.matrix(np.zeros(u0.shape), dtype = np.float64)\n",
    "        for j in range( u0.shape[0]):\n",
    "            du[j-1] = 0.0\n",
    "            du[j] = h\n",
    "            val = ( f(u+du) - f(u-du) )/(2.0*h)\n",
    "            for k in range( u0.shape[0]):\n",
    "                fu[j][k]= val[k]\n",
    "        fu = fu.T\n",
    "        #matprint(fu)\n",
    "        dx = -1 * np.linalg.inv(fu) * f(u)\n",
    "        u = u + dx\n",
    "        print('||dx||:',(sum(mult(dx,dx)).item(0))**1/2)\n",
    "    return u\n",
    "\n",
    "global N, k0, k1, u0v, uNv, x\n",
    "N = 8\n",
    "k0 = 1.0\n",
    "k1 = 0.5\n",
    "u0v = 0.0\n",
    "uNv = 0.0\n",
    "lambda0 = 40.0\n",
    "\n",
    "def F(u):\n",
    "    global N, k0, k1, u0v, uNv, x\n",
    "    res = np.matrix( np.zeros((N+2, 1)), dtype = np.float64)\n",
    "    #i = 0\n",
    "    #res[i] = (u[i+1] - u[i]) * (k0 + k1 * (u[i]**2 + u[i+1]**2)/2.0) - u[i]*(k0 + k1 * u[i]**2/2.0) + u[-1]*u[i]*(x[i]-x[i+1])**2\n",
    "    \n",
    "    #for i in range(1, N-2):\n",
    "    #    res[i] = (u[i+1] - u[i]) * (k0 + k1 * (u[i]**2 + u[i+1]**2)/2.0) - (u[i] - u[i-1])*(k0 + k1 * (u[i]**2 + u[i-1]**2)/2) + u[-1]*u[i]*(x[i]-x[i+1])**2\n",
    "        \n",
    "    #i = N-2\n",
    "    #res[i] = (uNv - u[i]) * (k0 + k1 * u[i]**2/2.0) - (u[i] - u[i-1])*(k0 + k1 * (u[i]**2 + u[i-1]**2)/2) + u[-1]*u[i]*(x[i]-x[i+1])**2\n",
    "    \n",
    "    #res[N-1] = u[N//2] - u[N//2-2] - 2* (x[1]-x[0])\n",
    "    \n",
    "    res[0] = u[0] - u0v\n",
    "    res[N] = u[N] -uNv\n",
    "    for i in range(1, N):\n",
    "        res[i] = (u[i+1] - u[i]) * (k0 + k1 * (u[i]**2 + u[i+1]**2)/2.0) - (u[i] - u[i-1])*(k0 + k1 * (u[i]**2 + u[i-1]**2)/2) + u[-1]*u[i]*(x[i]-x[i+1])**2\n",
    "    res[N+1] = u[N//2+1] - u[N//2-1] - 2* (x[1]-x[0])\n",
    "    return res\n",
    "\n",
    "prev_answer = np.matrix(np.ones((N//2, 1)), dtype = np.float64)\n",
    "lambdas = []\n",
    "\n",
    "for j in range(1,8):\n",
    "    print('Число отрезков:', N)\n",
    "    \n",
    "    x = np.linspace(0, 1, N+1)\n",
    "    u0 = np.matrix(np.zeros((N+2, 1)), dtype = np.float64)\n",
    "   \n",
    "    for i in range(N//2):\n",
    "        u0[2*i] = prev_answer[i]\n",
    "        \n",
    "    for i in range(1,N-11,2):\n",
    "        u0[i] = (u0[i-1] + u0[i+1])/2\n",
    "\n",
    "    #u0[0] = (u0v + u0[1])/2\n",
    "    #u0[-2] = (uNv + u0[-3])/2\n",
    "    \n",
    "    if j==1:\n",
    "        u0[-1] = lambda0\n",
    "        u0[1] = -0.1\n",
    "        u0[N//2] =  0\n",
    "    prev_answer = NewtonSolver(F, u0)\n",
    "    lambdas.append(prev_answer[-1:])\n",
    "    N*=2"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": [
    "lambdas = [t.item(0) for t in lambdas]"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 35,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "[37.67910192317351,\n",
       " 39.112573103029945,\n",
       " 39.479377728398966,\n",
       " 39.57160490895261,\n",
       " 39.59469456851977,\n",
       " 39.60046903727823,\n",
       " 39.60191278283212]"
      ]
     },
     "execution_count": 35,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "lambdas"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 36,
   "metadata": {},
   "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": {
      "text/plain": [
       "[<matplotlib.lines.Line2D at 0x2c61594c9e8>]"
      ]
     },
     "execution_count": 36,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "%matplotlib notebook\n",
    "import matplotlib.pyplot as plt\n",
    "plt.plot(lambdas)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 37,
   "metadata": {},
   "outputs": [],
   "source": [
    "def eitken_thickening(U2, U1, U0, r):\n",
    "    return U2+(U2-U1)/((U1-U0)/(U2-U1)-1)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 38,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "[39.6055142727821,\n",
       " 39.60258288253887,\n",
       " 39.60240575589416,\n",
       " 39.60239477346045,\n",
       " 39.60239408840764]"
      ]
     },
     "execution_count": 38,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "eitken_vals1 = [eitken_thickening(lambdas[i], lambdas[i-1], lambdas[i-2], 1/2.0) for i in range(2, len(lambdas))]\n",
    "eitken_vals1"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 39,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "[39.602394364882684, 39.60239404750166, 39.602394042833204]"
      ]
     },
     "execution_count": 39,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "eitken_vals2 = [eitken_thickening(eitken_vals1[i], eitken_vals1[i-1], eitken_vals1[i-2],1/2) for i in range(2,len(eitken_vals1))]\n",
    "eitken_vals2"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 40,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "39.60239404276351"
      ]
     },
     "execution_count": 40,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "eitken_vals3 = [ eitken_thickening(eitken_vals2[i], eitken_vals2[i-1], eitken_vals2[i-2],1/2) for i in range(2,len(eitken_vals2)) ]\n",
    "eitken_vals3[0]"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 41,
   "metadata": {},
   "outputs": [],
   "source": [
    "answer = [0] + [t.item(0) for t in prev_answer[:-1]] + [0]"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 42,
   "metadata": {},
   "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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MQECBAgQqEVA/zYApoInQCk+xQQIECBAoBYB/dsAmAqeAKX4FBMgQIAAgVoE9G8DYCp4ApTiU0yAAAECBGoR0L8NgKngCVCKTzEBAgQIEKhFQP82AKaCJ0ApPsUECBAgQKAWAf3bAJgKngCl+BQTIECAAIFaBPRvA2AqeAKU4lNMgAABAgRqEdC/DYCp4AlQik8xAQIECBCoRUD/NgCmgidAKT7FBAgQIECgFgH92wCYCp4ApfgUEyBAgACBWgT07zYaAO+6666YNGlSPPDAA/H888/HTTfdFAcccMByg3XHHXfEPvvss8zPH3300Xjf+97XUCAFqCEmGxEgQIAAgaYS0L/baAC8/fbb4957742dd945Dj744IYHwMceeyyGDx++KJjrr79+DBkypKGgClBDTDYiQIAAAQJNJaB/t9EAuHiyBg0a1PAA+Morr8TIkSN7FEwB6hGbIgIECBAgUKuA/m0AjDFjxsScOXNi2223jVNPPbXLt4U7Uzp37twofzpvJUCjRo2KWbNmLXEWsdZUu3MCBAgQIEBghQIGwAE8AJa3fsvnBseOHVsNdVdeeWVcdNFFUT4bOGHChC6DM3HixDj99NOX+ZkB0CsNAQIECBBoHQED4AAeALuK6cc+9rEobx/fcsstXabYGcDWeXJ7pAQIECBAYHkCBkAD4BLZOPPMM+MHP/hBlCuBG7kJUCNKtiFAgAABAs0loH8bAJdI5Cc+8Yl4+eWX4+c//3lDSRWghphsRIAAAQIEmkpA/26jAfD111+P6dOnVwHbaaed4lvf+lZ1Qce6664bo0ePjlNOOSWee+65uOKKK6ptzjvvvOoCkO222y7mzZtXnfn7xje+ETfccEMcdNBBDQVVgBpishEBAgQIEGgqAf27jQbA5X2x81FHHRWTJ0+Oo48+Op566qnqIo9yO+ecc+KSSy6phsLVV1+9GgTLkPjRj3604ZAKUMNUNiRAgAABAk0joH+30QBYR6oEqA5190mAAAECBHIC+rcBMJUgAUrxKSZAgAABArUI6N8GwFTwBCjFp5gAAQIECNQioH8bAFPBE6AUn2ICBAgQIFCLgP5tAEwFT4BSfIoJECBAgEAtAvq3ATAVPAFK8SkmQIAAAQK1COjfBsBU8AQoxaeYAAECBAjUIqB/GwBTwROgFJ9iAgQIECBQi4D+bQBMBU+AUnyKCRAgQIBALQL6twEwFTwBSvEpJkCAAAECtQjo3wbAVPAEKMWnmAABAgQI1CKgfxsAU8EToBSfYgIECBAgUIuA/m0ATAVPgFJ8igkQIECAQC0C+rcBMBU8AUrxKSZAgAABArUI6N8GwFTwBCjFp5gAAQIECNQioH8bAFPBE6AUn2ICBAgQIFCLgP5tAEwFT4BSfIoJECBAgEAtAvq3ATAVPAFK8SkmQIAAAQK1COjfBsBU8AQoxaeYAAECBAjUIqB/GwBTwROgFJ9iAgQIECBQi4D+bQBMBU+AUnyKCRAgQIBALQL6twEwFTwBSvEpJkCAAAECtQjo3wbAVPAEKMWnmAABAgQI1CKgfxsAU8EToBSfYgIECBAgUIuA/m0ATAVPgFJ8igkQIECAQC0C+rcBMBU8AUrxKSZAgAABArUI6N8GwFTwBCjFp5gAAQIECNQioH8bAFPBE6AUn2ICBAgQIFCLgP5tAEwFT4BSfIoJECBAgEAtAvq3ATAVPAFK8SkmQIAAAQK1COjfBsBU8AQoxaeYAAECBAjUIqB/GwBTwROgFJ9iAgQIECBQi4D+bQBMBU+AUnyKCRAgQIBALQL6twEwFTwBSvEpJkCAAAECtQjo3wbAVPAEKMWnmAABAgQI1CKgfxsAU8EToBSfYgIECBAgUIuA/m0ATAVPgFJ8igkQIECAQC0C+rcBMBU8AUrxKSZAgAABArUI6N8GwFTwBCjFp5gAAQIECNQioH8bAFPBE6AUn2ICBAgQIFCLgP5tAEwFT4BSfIoJECBAgEAtAvq3ATAVPAFK8SkmQIAAAQK1COjfBsBU8AQoxaeYAAECBAjUIqB/GwBTwROgFJ9iAgQIECBQi4D+bQBMBU+AUnyKCRAgQIBALQL6twEwFTwBSvEpJkCAAAECtQjo3wbAVPAEKMWnmAABAgQI1CKgfxsAU8EToBSfYgIECBAgUIuA/m0ATAVPgFJ8igkQIECAQC0C+rcBMBU8AUrxKSZAgAABArUI6N8GwFTwBCjFp5gAAQIECNQioH8bAFPBE6AUn2ICBAgQIFCLgP5tAEwFT4BSfIoJECBAgEAtAvq3ATAVPAFK8SkmQIAAAQK1COjfBsBU8AQoxaeYAAECBAjUIqB/GwBTwROgFJ9iAgQIECBQi4D+bQBMBU+AUnyKCRAgQIBALQL6twEwFTwBSvEpJkCAAAECtQjo3wbAVPAEKMWnmAABAgQI1CKgfxsAU8EToBSfYgIECBAgUIuA/m0ATAVPgFJ8igkQIECAQC0C+rcBMBU8AUrxKSZAgAABArUI6N8GwFTwBCjFp5gAAQIECNQioH8bAFPBE6AUn2ICBAgQIFCLgP5tAEwFT4BSfIoJECBAgEAtAvq3ATAVPAFK8SkmQIAAAQK1COjfBsBU8AQoxaeYAAECBAjUIqB/GwBTwROgFJ9iAgQIECBQi4D+3UYD4F133RWTJk2KBx54IJ5//vm46aab4oADDlhhsO6888744he/GI888khsvPHG8aUvfSk+85nPNBxGAWqYyoYECBAgQKBpBPTvNhoAb7/99rj33ntj5513joMPPnilA+CTTz4Z22+/fRx33HFx/PHHV7UnnHBCXHPNNVV9IzcBakTJNgQIECBAoLkE9O82GgAXj9agQYNWOgB++ctfjltuuSUeffTRRaXl7N9DDz0U9913X0NJFaCGmGxEgAABAgSaSkD/HsAD4IQJE2KnnXaK888/f1Eoy9vGn/rUp+LNN9+MoUOHLhPWuXPnRvnTeSsBGjVqVMyaNSuGDx/eVOH2YAgQIECAAIGuBQyAA3gA3GqrreLoo4+Or371q4vSMWXKlBg3blzMnDkzNtpoo2VSM3HixDj99NOX+e8GQC8xBAgQIECgdQQMgAN8ADzmmGPilFNOWZTY8jnAvfbaq7qIZMMNN3QGsHWeyx4pAQIECBBoWMAAOIAHwJ68Bbx0sgSo4eeaDQkQIECAQNMI6N8DeAAsF4HceuutMXXq1EWB/OxnPxsPPvigi0Ca5inqgRAgQIAAgd4XMAC20QD4+uuvx/Tp06uUlIs7vvWtb8U+++wT6667bowePbp6q/e5556LK664otqm82tgylfAlK+CKVf+lquAfQ1M7z/R7JEAAQIECDSTgAGwjQbAO+64oxr4lr4dddRRMXny5OqCj6eeeirKdp238kXQJ5988qIvgi5nBX0RdDM9RT0WAgQIECDQ+wIGwDYaAHs/HivfowCt3MgWBAgQIECg2QT0bwNgKpMClOJTTIAAAQIEahHQvw2AqeAJUIpPMQECBAgQqEVA/zYApoInQCk+xQQIECBAoBYB/dsAmAqeAKX4FBMgQIAAgVoE9G8DYCp4ApTiU0yAAAECBGoR0L8NgKngCVCKTzEBAgQIEKhFQP82AKaCJ0ApPsUECBAgQKAWAf3bAJgKngCl+BQTIECAAIFaBPRvA2AqeAKU4lNMgAABAgRqEdC/DYCp4AlQik8xAQIECBCoRUD/NgCmgidAKT7FBAgQIECgFgH92wCYCp4ApfgUEyBAgACBWgT0bwNgKngClOJTTIAAAQIEahHQvw2AqeAJUIpPMQECBAgQqEVA/zYApoInQCk+xQQIECBAoBYB/dsAmAqeAKX4FBMgQIAAgVoE9G8DYCp4ApTiU0yAAAECBGoR0L8NgKngCVCKTzEBAgQIEKhFQP82AKaCJ0ApPsUECBAgQKAWAf3bAJgKngCl+BQTIECAAIFaBPRvA2AqeAKU4lNMgAABAgRqEdC/DYCp4AlQik8xAQIECBCoRUD/NgCmgidAKT7FBAgQIECgFgH92wCYCp4ApfgUEyBAgACBWgT0bwNgKngClOJTTIAAAQIEahHQvw2AqeAJUIpPMQECBAgQqEVA/zYApoInQCk+xQQIECBAoBYB/dsAmAqeAKX4FBMgQIAAgVoE9G8DYCp4ApTiU0yAAAECBGoR0L8NgKngCVCKTzEBAgQIEKhFQP82AKaCJ0ApPsUECBAgQKAWAf3bAJgKngCl+BQTIECAAIFaBPRvA2AqeAKU4lNMgAABAgRqEdC/DYCp4AlQik8xAQIECBCoRUD/NgCmgidAKT7FBAgQIECgFgH92wCYCp4ApfgUEyBAgACBWgT0bwNgKngClOJTTIAAAQIEahHQvw2AqeAJUIpPMQECBAgQqEVA/zYApoInQCk+xQQIECBAoBYB/dsAmAqeAKX4FBMgQIAAgVoE9G8DYCp4ApTiU0yAAAECBGoR0L8NgKngCVCKTzEBAgQIEKhFQP82AKaCJ0ApPsUECBAgQKAWAf3bAJgKngCl+BQTIECAAIFaBPRvA2AqeAKU4lNMgAABAgRqEdC/DYCp4AlQik8xAQIECBCoRUD/NgCmgidAKT7FBAgQIECgFgH92wCYCp4ApfgUEyBAgACBWgT0bwNgKngClOJTTIAAAQIEahHQvw2AqeAJUIpPMQECBAgQqEVA/zYApoInQCk+xQQIECBAoBYB/dsAmAqeAKX4FBMgQIAAgVoE9G8DYCp4ApTiU0yAAAECBGoR0L8NgKngCVCKTzEBAgQIEKhFQP82AKaCJ0ApPsUECBAgQKAWAf3bAJgKngCl+BQTIECAAIFaBPRvA2AqeAKU4lNMgAABAgRqEdC/DYCp4AlQik8xAQIECBCoRUD/NgCmgidAKT7FBAgQIECgFgH92wCYCp4ApfgUEyBAgACBWgT0bwNgKngClOJTTIAAAQIEahHQvw2AqeAJUIpPMQECBAgQqEVA/zYApoInQCk+xQQIECBAoBYB/dsAmAqeAKX4FBMgQIAAgVoE9G8DYCp4ApTiU0yAAAECBGoR0L8NgKngCVCKTzEBAgQIEKhFQP9uswHwggsuiEmTJsXzzz8f2223XZx33nkxfvz4LsM1efLkOOaYY5b52VtvvRWrrbZaQ4EUoIaYbESAAAECBJpKQP9uowHw2muvjSOOOCLKEDhu3Li4+OKL47LLLoupU6fG6NGjlwleGQBPOumkeOyxx5b42YYbbthwSAWoYSobEiBAgACBphHQv9toANxtt91i5513jgsvvHBRwLbZZps44IAD4uyzz+5yAPzCF74Qr776ao8DKUA9plNIgAABAgRqE9C/22QAnDdvXqyxxhpx3XXXxYEHHrgoUOUM34MPPhh33nlnlwPgscceG5tsskksWLAgdtxxxzjjjDNip512ajiQAtQwlQ0JECBAgEDTCOjfbTIAzpw5sxrk7r333thzzz0XBeyss86Kyy+/fJm3ecsG999/f0yfPj122GGHKEE4//zz47bbbouHHnoottxyyy5DOnfu3Ch/Om+lbtSoUTFr1qwYPnx40wTbAyFAgAABAgSWL2AAbLMBcMqUKbHHHnssOuJnnnlmXHnllTFt2rSVPg8WLlxYvYU8YcKE+Pa3v93l9hMnTozTTz99mZ8ZAFfKawMCBAgQINA0AgbANhkAe/IWcFcpPO6442LGjBlx++23OwPYNE9TD4QAAQIECPSugAGwTQbAEotyEcjYsWOrq4A7b9tuu23sv//+XV4EsnSUOjo6Ytddd63eEv7e977XUNIEqCEmGxEgQIAAgaYS0L/baADs/BqYiy66qHob+JJLLolLL700Hnnkkdhss83iyCOPrD4n2HlFcHkrd/fdd68+71eCUN72LW8Xl88RlkGwkZsANaJkGwIECBAg0FwC+ncbDYAlWuXs3znnnFN9EfT2228f5557bvWZvnLbe++9Y8yYMVG+/6/cTj755Ljxxhvjj3/8Y4wYMaK6+rd8xm/xzxCuLK4CtDIhPydAgAABAuYXaZUAACAASURBVM0noH+32QDY3xEToP4Wd38ECBAgQCAvoH8bAFMpEqAUn2ICBAgQIFCLgP5tAEwFT4BSfIoJECBAgEAtAvq3ATAVPAFK8SkmQIAAAQK1COjfBsBU8AQoxaeYAAECBAjUIqB/GwBTwROgFJ9iAgQIECBQi4D+bQBMBU+AUnyKCRAgQIBALQL6twEwFTwBSvEpJkCAAAECtQjo3wbAVPAEKMWnmAABAgQI1CKgfxsAU8EToBSfYgIECBAgUIuA/m0ATAVPgFJ8igkQIECAQC0C+rcBMBU8AUrxKSZAgAABArUI6N8GwFTwBCjFp5gAAQIECNQioH8bAFPBE6AUn2ICBAgQIFCLgP5tAEwFT4BSfIoJECBAgEAtAvq3ATAVPAFK8SkmQIAAAQK1COjfBsBU8AQoxaeYAAECBAjUIqB/GwBTwROgFJ9iAgQIECBQi4D+bQBMBU+AUnyKCRAgQIBALQL6twEwFTwBSvEpJkCAAAECtQjo3wbAVPAEKMWnmAABAgQI1CKgfxsAU8EToBSfYgIECBAgUIuA/m0ATAVPgFJ8igkQIECAQC0C+rcBMBU8AUrxKSZAgAABArUI6N8GwFTwBCjFp5gAAQIECNQioH8bAFPBE6AUn2ICBAgQIFCLgP5tAEwFT4BSfIoJECBAgEAtAvq3ATAVPAFK8SkmQIAAAQK1COjfBsBU8AQoxaeYAAECBAjUIqB/GwBTwROgFJ9iAgQIECBQi4D+bQBMBU+AUnyKCRAgQIBALQL6twEwFTwBSvEpJkCAAAECtQjo3wbAVPAEKMWnmAABAgQI1CKgfxsAU8EToBSfYgIECBAgUIuA/m0ATAVPgFJ8igkQIECAQC0C+rcBMBU8AUrxKSZAgAABArUI6N8GwFTwBCjFp5gAAQIECNQioH8bAFPBE6AUn2ICBAgQIFCLgP5tAEwFT4BSfIoJECBAgEAtAvq3ATAVPAFK8SkmQIAAAQK1COjfBsBU8AQoxaeYAAECBAjUIqB/GwBTwROgFJ9iAgQIECBQi4D+bQBMBU+AUnyKCRAgQIBALQL6twEwFTwBSvEpJkCAAAECtQjo3wbAVPAEKMWnmAABAgQI1CKgfxsAU8EToBSfYgIECBAgUIuA/m0ATAVPgFJ8igkQIECAQC0C+rcBMBU8AUrx9VnxgoUd8ZtnXok7HvtT/G7GrHjypTfitbfejo6OiHetNSxGrbtG7Dx6nRi/5XoxdrN1YtCgQX32WOyYAAECBJpPQP82AKZSKUApvl4vnj3n7bjivqfj6n9/Jp579a2G9r/Zu9aIv95tdPzN7pvFGsNWaajGRgQIECDQ2gL6twEwlWABSvH1WvH8BQvjqn9/Js7/2R/i5TfmVfsdvtoqsffWG8Qem78rtthgrVh3zWHVf39p9tyY/uLrcf8TL8fPH30h3pi3oPrv6601LL74ka3j0F1GxeDBzgj22sGxIwIECDShgP5tAEzFUoBSfL1S/MSLr8cX/+9D8eCzr1b7e+96a8Zn9948PvaBjWO1oUNWeB9vzpsftz40M777i8fjmZffrLbddcy6cc4n3h9j1luzVx6fnRAgQIBA8wno3wbAVCoFKMWXLv7Rb5+Lr9z4u5jz9sJYe7VV4kt/uXUcuuvoGDpkcLf2/faChdVbx//7p4/Fm/MWxNqrrhKTPvn+2Hf7jbq1HxsTIECAQGsI6N8GwFRSBSjF1+PicpHHOT+ZFhff+US1j722WK86a7fxyNV7vM9SOOOVN+Pkax+MXz31SrWfz++zRfzDX2zlIpGUqmICBAg0n4D+bQBMpVKAUnw9Kp43f2E1pP344eer+s/ts3n8w0e27rXP7ZWzgZN+8lhcctefh8tPjt00zjpoh26fVezR4hQRIECAQL8I6N8GwFTQBCjF1+3iOW8viBOu+k38fNqfYuiQQfG/PvmB2H/HTbq9n0YKfvjLZ+KrNz0cCzsiPrzNu+OCv945hq3SvbeWG7kf2xAgQIBA/wvo3wbAVOoEKMXXreIy/B17+a/jnukvxaqrDI6LjxhbXeXbl7d/m/pCfO7q38Tc+QvjL7d7d3zn8J2dCexLcPsmQIBAPwno3wbAVNQEKMXXcHH5mpcyiP3kkRdizWFD4p+P3iV2f++7Gq7PbHjX71+sBs95CxbGX71/ozj/0J1iiK+JyZCqJUCAQO0C+rcBMBVCAUrxNVTc0dERX7nh4bj218/GsCGDY/Lf7hJ7br5eQ7W9tdHPp70Qx1/5QLy9oCOO2mOzmPjx7VwY0lu49kOAAIEaBPRvA2AqdgKU4muo+Fv/+vv49s/+EOWkW/kcXl1fzXLbw89XZyHLr5M79b9vE8eOf29Dj99GBAgQINB8Avq3ATCVSgFK8a20uHxJ84nX/Lba7uyDdojDdh290pq+3ODSu56IM297tLqLMox+dAffE9iX3vZNgACBvhLQvw2AqWwJUIpvhcW/m/FqfPKi+6oLMP5uwnvjqx/dpu/urME9l7ej/+ctj1RfGr3a0MFxw2f3jO02HtFgtc0IECBAoFkE9G8DYCqLApTiW27xC6/NiY9/55544bW5sc/W68dlR+3SNBdelC+hPmbyr6JcHDJq3dXj1s/vFSPX+PPvGXYjQIAAgdYQ0L8NgKmkClCKr8vi8kXMh15yfzzw9Cux5QZrxY0n7Blrrza09+8oscdX35wXH//OvdXvDx6/5Xox+Zhdm2ZATSxLKQECBAaMgP5tAEyFXYBSfF0WT/rJtPjuLx6vfh/vrSfuFWPWW7P376QX9jh15mtx0IX3Vr+H+IS9N48v7fu+XtirXRAgQIBAfwjo3wbAVM4EKMW3TPE9f3gpjvjev1dX2n7n8J3ir96/ce/eQS/v7eYHn4uTfvhgtdd/PuqD8aFt3t3L92B3BAgQINAXAvq3ATCVKwFK8S1R/OLsubHf+XfHS6/Pra72LVf9tsJt4i2PxOQpT8XINYbG7SeNj41GrN4KD9tjJECAwIAW0L8NgKkngACl+BYVL1zYEUd9/5dx9x9eiq3fvXbc/PlxsdrQIb2z8z7ey9z5C+LgC6fEfzz3Wuw6Zt24+rjdYpUhfmdwH7PbPQECBFIC+rcBUIBSAr1T/N1fTI9JP3ms+mqVclXtlu9eu3d23E97eeqlN+Kv/s898frc+XHif9si/uEvtu6ne3Y3BAgQINATAQNgmw2AF1xwQUyaNCmef/752G677eK8886L8ePHLzcbN9xwQ3z961+Pxx9/PDbffPM488wz48ADD2w4SwLUMNVyN/z1Uy/HIZfcH+XrVc45+P3xqV1G5Xdawx5ueWhm/P01v41BgyJ+8OndYtwW/fvr6mpYsrskQIBAywro3200AF577bVxxBFHRBkCx40bFxdffHFcdtllMXXq1Bg9etnfIHHfffdVw+EZZ5xRDX033XRTnHbaaXHPPffEbrvt1lCoBaghpuVuVL5O5aPn3x0zZ82J/XfcOM47ZMeW/h27X7nhd/HDXz0b6621avV5wPXXXjUHpJoAAQIE+kRA/26jAbAMbTvvvHNceOGFi8KyzTbbxAEHHBBnn332MgE65JBDogTg9ttvX/SzfffdN9ZZZ5245pprGgqcADXE1OVG5bdqHH/lA/HTqS/EmHetEf/f34+PtVZdpec7bILKt+YtiP2/e0/8/oXXY8JW68fko3eJweWXGLsRIECAQFMJ6N9tMgDOmzcv1lhjjbjuuuuWeAv3pJNOigcffDDuvPPOZYJXzgqefPLJ1Z/O27nnnlu9bfz00083FNS+CtDjL74eT774RozdbJ1YZ832/C0Tl095qvq1akOHDIobPzsudti0PX6l2u9fmB0f+z/3VL/CrpzV/NpHt4kNhq/WUJ5sRIAAAQL9I9BX/bt/Hn3v3MugjnIqpsVvM2fOjE022STuvffe2HPPPRet5qyzzorLL788HnvssWVWOGzYsJg8eXIcfvjhi3529dVXxzHHHBNz587tUqT898V/VgI0atSomDVrVgwfPrzXFM/7t9/Hef/2h9hig7Xils+PizWGtfaZsaVh/uO5WXHQBVNi3oKFcdpfbRt/u9d7es2uGXZ05f1Px9d/9B/VQ7n4iLHxl9tt2AwPy2MgQIAAgXcEDIBtcgawcwCcMmVK7LHHHosCXi7quPLKK2PatGldDoBlODzssMMW/eyqq66KT3/60zFnzpwunyQTJ06M008/fZmf9fYA+MNfPhNfufHh6n4+OXbTmPTJD7TNk7ZcKVvOkD350hvx4W3eHZceObalP/fX1YEpf6f6xr9Mi39/4uX4yn7vi93f+662OX4WQoAAgXYQMAC2yQDYX28B99cZwPLkuv+J/4zDL70/FnZEdXHEATtt0vLPuTIYffH/PhQ3/fa52GjEanHb349v27e4W/5gWQABAgTaWMAA2CYDYMlouQhk7Nix1VXAnbdtt9029t9//+VeBDJ79uy47bbbFm2/3377xciRI5vmIpDOt4LXHDakukjiPU36e3EbfY247tfPxj9e/7sYMnhQ/PDvdo9dxqzbaKntCBAgQIBArwkYANtoAOz8GpiLLrqoehv4kksuiUsvvTQeeeSR2GyzzeLII4+sPifYeUVwebt4woQJ1Xf/lSHx5ptvjlNPPbWpvgamfDfeX192f9z/xMux3cbD48YT9oxVV2mN35Cx9LP0Dy/Mjo9/59546+0F8T/+Yqv4/H/bsteeyHZEgAABAgS6I2AAbKMBsBz4cvbvnHPOqb4Ievvtt49yVW8Z8spt7733jjFjxlQXfnTerr/++mroe+KJJxZ9EfRBBx3UcIb6I0AvvDan+h25L78xL47ec0xM/Ph2DT++ZtnwzXnzY//v3Bt/+NPrMX7L9WLyMbtWZwHdCBAgQIBAHQL90b/rWFd37rMtrgLuzoJ7c9v+CtAvpv0pjpn8q+qhX3LE2PiLFruq9B+veyiue2BG9cXI5XN/viC5N1NoXwQIECDQXYH+6t/dfVz9ub0BMKHdnwE688dT49K7n4wRqw+N204aH5uMXD3xyPuv9IYHZsQ/XPdQlBN+Pzh2t9hzc78irf/03RMBAgQIdCXQn/27WY+AATBxZPozQPPmL4xPXnxfPPTsq/HBzdaJa/5u9xg6ZHDi0fd96fQ/lS9F/vPn/r74ka3i7z/kc399r+4eCBAgQGBlAv3Zv1f2WOr6uQEwId/fAXrmP9+M//7tu2P23PlN/3nA2XPejgMvmBLT//R6jNviXXHF3+7mc3+JrCklQIAAgd4T6O/+3XuPvPf2ZABMWNYRoH+d+kIcd8Wvq0c96RPvj09+cFRiBX1TunBhR/zdlQ/Evz36Qmw4fLW49cS9fO6vb6jtlQABAgR6IFBH/+7Bw+zTEgNggreuAHV+P+CwVQbHdcfvER8YNTKxit4vPfdffx/n/+wP0ayPr/dXbI8ECBAg0EoCdfXvZjIyACaORl0BKmfYjv/BA1HOBpYzbLecOC42WHu1xEp6r/Qnj/wxjr/ygWqH/+uTH4hPjN2093ZuTwQIECBAoBcE6urfvfDQe20XBsAEZZ0BKp+xO+C798bjL74R228yPH74d3vEWquuklhNvvS3z7wSh116f8x5e2EcM25M/M+Ptd53FuYV7IEAAQIEml2gzv7dLDYGwMSRqDtAT730Rhx84ZT4zzfmxYSt1o9/PuqDtV0Z/OQ7j6V8YfX/s9X6cVmNjyVxSJUSIECAwAAQqLt/NwOxATBxFJohQA8++2ocdsn91VetHLTzJvG/P/mBGDSof3/Lxouz58YnLpoST//nm7HDJiOq3/O7Zs1nIxOHVSkBAgQItLlAM/TvuokNgIkj0CwB+vm0cmXwA1F+d/Df7D46/t+Pbx+D++lXrZXh7/BL769+zduodVePGz87zhW/iUwpJUCAAIG+F2iW/t33K13+PRgAE/rNFKDrH5gR/3j9Q9HREfHXu42OM/bv+yHwpdfnVmcfy/BXLkYpZ/7GrLdmQlQpAQIECBDoe4Fm6t99v9qu78EAmJBvtgAtPgQevPOmcfZBO1RfxdIXt/Kl1EdP/mU88eIbhr++ALZPAgQIEOgzgWbr33220BXs2ACYUG/GAN34mxnxP657KBZ2ROzx3nfFRX8zNkasMTSxymVLy9W+x17+6+rik/I7ia86djdn/npV2M4IECBAoC8FmrF/9+V6u9q3ATAh3qwB+sW0P8Xnr/5NvDFvQYx51xrx7cN2ivdvmv+y6I6Ojrjy/qfjn378aJTfTbzdxsPj+0fvEhsMb47vIEwcSqUECBAgMIAEmrV/9+chMAAmtJs5QFNnvhbHXv6rmDlrTqwyeFCc/JGt4rjx7+3xW8LPz3orTrv5kerLp8vtw9u8O84/dEdX+ybyo5QAAQIE6hFo5v7dXyIGwIR0swfo1TfnxVdvejhue/iP1Srfu/6accp+28SH3rdBw1cJly+cvuK+p+O7v5geb85bEEOHDIqv7LdN/O24Mf3+dTOJQ6WUAAECBAgsEmj2/t0fh8oAmFBuhQCVt21v+M1z8Y3bH42XXp9XrXaLDdaKQ3cZFX+53YYxat01lhGYv2Bh/O65WXHrQzPjhgdmxGtz5lfbjN1snfinA7aPbTYanlBTSoAAAQIE6hVohf7d10IGwIRwKwXotTlvxwW/eDx+cP/T8frcPw905bbB2qtWA+Hw1YbGgo6OKF/tMu352dUXS3feypnDz++zRRyw4yYNnzlMsColQIAAAQJ9KtBK/buvIAyACdlWDFB5S/fG3zwXtz38fPzqqZerq4W7uq296iqxz/s2iP133Dj23nqDGNJPXyydOBxKCRAgQIBAQwKt2L8bWlg3NjIAdgNr6U1bPUBvzJ0f0/44O57+zzeqK4bLL5B715rDYvMN1oot1l/L2b5ENpQSIECAQPMKtHr/7g1ZA2BCUYASeEoJECBAgEBNAvp3hAEwET4BSuApJUCAAAECNQno3wbAVPQEKMWnmAABAgQI1CKgfxsAU8EToBSfYgIECBAgUIuA/m0ATAVPgFJ8igkQIECAQC0C+rcBMBU8AUrxKSZAgAABArUI6N8GwFTwBCjFp5gAAQIECNQioH8bAFPBE6AUn2ICBAgQIFCLgP5tAEwFT4BSfIoJECBAgEAtAvq3ATAVPAFK8SkmQIAAAQK1COjfBsBU8AQoxaeYAAECBAjUIqB/GwBTwROgFJ9iAgQIECBQi4D+bQBMBU+AUnyKCRAgQIBALQL6twEwFTwBSvEpJkCAAAECtQjo3wbAVPBmzZoVI0eOjGeffTaGDx+e2pdiAgQIECBAoH8EygA4atSoePXVV2PEiBH9c6dNdi+DOjo6OprsMbXMw5kxY0YVIDcCBAgQIECg9QTKCZxNN9209R54LzxiA2ACceHChTFz5sxYe+21Y9CgQYk9LVva+beTdj27aH29GpdaduYY1sLea3fa7sevQLX7Gq2v50+Hcu5r9uzZsfHGG8fgwYN7vqMWrjQANunBa/fPJ1hfkwavGw/LMewGVhNu2u7Hr3MALG/vlY/rtOPHdNr9GLb7+up+WTAA1n0ElnP/7R5862vS4HXjYTmG3cBqwk3b/fgZAJswdN18SAMho90k6dXNDYC9ytl7O2v34Ftf72Wlrj05hnXJ9879tvvxMwD2Tk7q3MtAyGidvgbAOvVXcN9z586Ns88+O0455ZRYddVVm/RR9vxhWV/P7Zql0jFsliPRs8fR7sevqLT7Gq2vZ9lX9WcBA6AkECBAgAABAgQGmIABcIAdcMslQIAAAQIECBgAZYAAAQIECBAgMMAEDIAD7IBbLgECBAgQIEDAACgDBAgQIECAAIEBJmAArOmAX3DBBTFp0qR4/vnnY7vttovzzjsvxo8fv9xHc8MNN8TXv/71ePzxx2PzzTePM888Mw488MCaHn1jd9udNU6ePDmOOeaYZXb81ltvxWqrrdbYHfbjVnfddVd1/B544IHqGN50001xwAEHrPAR3HnnnfHFL34xHnnkkerb57/0pS/FZz7zmX581I3fVXfXd8cdd8Q+++yzzB08+uij8b73va/xO+6nLcsV9jfeeGNMmzYtVl999dhzzz3jm9/8Zmy99dYrfASt8jzsyfpa7Tl44YUXRvnz1FNPVcesvI6edtppsd9++7XF62h319dqx2/pg1Qy+9WvfjVOOumkqh8u79Yqz8F+eilL3Y0BMMXXs+Jrr702jjjiiCgD0rhx4+Liiy+Oyy67LKZOnRqjR49eZqf33XdfNRyeccYZ1dBXho3yQnfPPffEbrvt1rMH0cdV3V1jefEqT/zHHntsiUe24YYb9vEj7dnub7/99rj33ntj5513joMPPnilA+CTTz4Z22+/fRx33HFx/PHHV7UnnHBCXHPNNVV9s926u77OAbAcv8V/48L6668fQ4YMabblxb777huHHnpo7LLLLjF//vz42te+Fg8//HD1HFxzzTW7fLyt9Dzsyfpa7Tl46623VtnaYostquN1+eWXV38p++1vf1sNg0vfWun4lcfe3fW12vFb/Pj86le/ik996lPVa0f5i+TyBsBWO4ZN98K31AMyANZwhMrQVgaH8je8zts222xTnUEqfwta+nbIIYdUv9OyNOXOW3mBX2eddaoBohlv3V1jefH6whe+EK+++mozLmeFj6n8HuiVnQH88pe/HLfcckuUM2Kdt3L276GHHoryotbMt0bW1zkAvvLKKzFy5MhmXk6Xj+3FF1+MDTbYIMpZ2gkTJnS5TSs+DzsX0sj6Wvk52LnOddddtxoCP/3pT7fF6+jSi1jR+lr1+L3++utVPywnRP7pn/4pdtxxx+UOgK38HGzGF0UDYD8flXnz5sUaa6wR11133RJv4ZazXw8++GDVgJa+lbOCJ598cvWn83buuedWT5Knn366n1ew8rvryRrLi9exxx4bm2yySSxYsKB6EShnPHfaaaeV32HNWzQyIJWhoqzl/PPPX/Roy9BY/tb75ptvxtChQ2texfLvvpH1dQ6AY8aMiTlz5sS2224bp556apdvCzfjQqdPnx5bbrlldRawnKnt6tZqz8PF19DI+lr5OVheM8pr6lFHHVWdASz5a/XX0cUffyPra9XjV45ZGWxLT9t7771XOAC28nOwGV/3DID9fFRmzpxZDTnlLcDyuaPO21lnnVW9hbH0W6Dl58OGDYvy5D788MMXbX/11VdXn5kr3wTfbLeerPH++++P0qR22GGH6mxnGZRuu+226gxZaczNfGtkQNpqq63i6KOPrj7j0nmbMmVK9RGA4rXRRhs17RIbWV/Jbfnc4NixY6tMXnnllXHRRRdFGQyXd0atWRbc0dER+++/f5Szl3ffffdyH1arPQ87F9Lo+lrxOVgG9j322KP6S8daa60V5XXxox/9aJfHsBWPX3fW14rH74c//GF11u/Xv/519VnvlQ2ArXgMm+V1rqvHYQDs56PTORyV5l9euDpv5aKO0jTLh9KXvpXQl+HwsMMOW/Sjq666qnqbo7zwNdutJ2tceg0LFy6s3hYow8O3v/3tZlviEo+nkQGpDIBlYC+/2q/zVv4SsNdee1UXkTTrZx3LY21kfV0doI997GNVbXnru5lvn/vc5+LHP/5x9ZnaTTfddIUDYCs9DzsX0uj6WvE5WN5teOaZZ6qPjpSLA8pnqcu7KF2dAWy119FyPLqzvlY7fs8++2x88IMfjJ/+9KfxgQ98oHr4jQyArfgcbNbXPwNgPx+Znrw92mqnvXuyxq4OQ7lgYsaMGUt89rGfD1dDd9fIgNTubwF3BVX+UvODH/xgic89NgTajxudeOKJ8aMf/ag6e/me97xnhffcas/DspjurK+Vn4Odj/3DH/5w9S0J5cK6pW+tePyWXsOK1tdqx68878pFjYtfJFbe6i6vp4MHD67eSVj6ArJ2OIb9+PK20rsyAK6UqPc3KBdIlLfKyodeO2/lb6zlbajlXQQye/bs6i3Rzlv5qoPyYftmvgikO2tcWrm8bbXrrrtWbwl/73vf6/2D0It7bGQALBeBlKv6ylWmnbfPfvaz1ec+2+EikK44P/GJT8TLL78cP//5z3tRu3d2VfJVhqPyOczyNnUjHzMoH0BvledhT9bXys/Bzsf+oQ99KEaNGlV9ZGbpWysdv+WlfEXra7XjV55LS3+GvbxLUr42qrxedvVZ3HY4hr3zCtY7ezEA9o5jt/bS+RUp5TNS5W3gSy65JC699NLq++E222yzOPLII6vPCXYOg+Xt4nIGqZxRKUPizTffXH3AvhW+BqbRNZ5++umx++67V424fAawvO1b3hIvb5OWQbDZbuXKtfKZxXIrF3d861vfqi54KB9mLn9LLW/1Pvfcc3HFFVdU23R+DUz5CphyZrMMfeUq4Gb9Gpjurq9ckFQuAClfv1HOAJczf9/4xjeqt+UOOuigZjt81VfwlM+LlefS4t/9N2LEiOp7AcutlZ+HPVlfqz0Hy+dpy1+Ey8BXhonyebKSuX/5l3+Jj3zkIy19/Er+uru+Vjt+Xb0oLP0WcCs/B5vuRa+LB2QArOkolbN/55xzTvX5r/I3nXIFVOeH5cuToDTTxf8We/3111dD3xNPPLHoi6CbsbEuztmdNZYrnMsX8/7xj3+M0oTLUDVx4sQlPidZ06Hq8m6X98XH5Yq2ctzKBR/lC2rLdp238tmkss7OL4Iuf8tt1i+C7u76SpbLX2TK0FsGqDIIliF4eR/Ir/tYlrO2Xd2+//3vV8eu3Fr5ediT9bXac7B8BvpnP/tZ9RpaXjPe//73V2eOyvDX6sevPP7urq/Vjl8jA2ArPwfrfo1r5P4NgI0o2YYAAQIECBAg0EYCBsA2OpiWQoAAAQIECBBoRMAA2IiSbQgQIECAAAECbSRgAGyjg2kpBAgQIECAAIFGBAyAjSjZhgABAgQIECDQRgIGwDY6mJZCgAABAgQIEGhEwADYiJJtA/njVQAAAadJREFUCBAgQIAAAQJtJGAAbKODaSkECBAgQIAAgUYEDICNKNmGAAECBAgQINBGAgbANjqYlkKAAAECBAgQaETAANiIkm0IECBAgAABAm0kYABso4NpKQQIECBAgACBRgQMgI0o2YYAAQIECBAg0EYCBsA2OpiWQoAAAQIECBBoRMAA2IiSbQgQIECAAAECbSRgAGyjg2kpBAgQIECAAIFGBAyAjSjZhgABAgQIECDQRgIGwDY6mJZCgAABAgQIEGhEwADYiJJtCBAgQIAAAQJtJGAAbKODaSkECBAgQIAAgUYEDICNKNmGAAECBAgQINBGAgbANjqYlkKAAAECBAgQaETAANiIkm0IECBAgAABAm0kYABso4NpKQQIECBAgACBRgQMgI0o2YYAAQIECBAg0EYCBsA2OpiWQoAAAQIECBBoRMAA2IiSbQgQIECAAAECbSRgAGyjg2kpBAgQIECAAIFGBAyAjSjZhgABAgQIECDQRgIGwDY6mJZCgAABAgQIEGhEwADYiJJtCBAgQIAAAQJtJGAAbKODaSkECBAgQIAAgUYE/n88k4PI0tDW4wAAAABJRU5ErkJggg==\" width=\"640\">"
      ],
      "text/plain": [
       "<IPython.core.display.HTML object>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "text/plain": [
       "[<matplotlib.lines.Line2D at 0x2c615990438>]"
      ]
     },
     "execution_count": 42,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "plt.figure()\n",
    "plt.plot(np.linspace(0,1,len(answer)), answer) "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 55,
   "metadata": {},
   "outputs": [],
   "source": [
    "from math import log\n",
    "def effective_p(U2,U1,U0,r):\n",
    "    return log((U2-U1)/(U1-U0))/log(1/2)\n",
    "def richardson_thickening(U1,U0,r,p):\n",
    "    return (r**(-p)*U1-U0)/(r**(-p)-1)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 56,
   "metadata": {},
   "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": {
      "text/plain": [
       "[<matplotlib.lines.Line2D at 0x2c6187b35c0>]"
      ]
     },
     "execution_count": 56,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "p_vals1 = [effective_p(lambdas[i], lambdas[i-1], lambdas[i-2], 1/2.0) for i in range(2, len(lambdas))]\n",
    "plt.figure()\n",
    "plt.plot(p_vals1)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 57,
   "metadata": {},
   "outputs": [],
   "source": [
    "richardson_vals1 = [richardson_thickening(lambdas[i],lambdas[i-1],1/2,2) for i in range(2,len(lambdas))]"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 58,
   "metadata": {},
   "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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ly9fXuU1MOY2sXntjFnMdwTN/ipeA2NuEcfExDgPkpjvAJr//uc//9kJkSc/gPJLJyEYGmjZ1wd099tfOofx0u8u1o09W/iir9gHAggggAACASsQDPO3t/G8HgDNAZirfy+88ILzIuiuXbs6T+KakGeWK6+80nk/n3loo2JZuHChE/oqnvg1YXDYsGGev694EbQJdye/CNpsu2LJycmp8iLoKVOmeF4EbQKgCXvmwZGoqCjnfYLm1TJnegDkdCciWBrob59u1z/+vUOx0ZF6d2wfdW954mXYLAgggAACCISjQLDM3948Nz4JgN48AH9uO1gayOVya+zbX+rTLT+oaWKclozvryaJ8f6kY98IIIAAAgj4TSBY5m9vAhEALXSDqYEKiko1dFqGvj14VD1aJWv+mN6Ki46yOHpKEUAAAQQQCE6BYJq/vSVMALSQDbYG+u7QMQ2eskJHisp082UtNWlYN0VE8HNxFi1AKQIIIIBAEAoE2/ztDWICoIVqMDbQ8m0HNXrOGrnc0sTBXTSiTxsLAUoRQAABBBAIPoFgnL9rW5kAaCEarA0047Odem7pVkVHRmjenb3Uq11DCwVKEUAAAQQQCC6BYJ2/a1OZAGihGawNZJ6ivu+fG5S+cZ8a1o1V+j391Ty5joUEpQgggAACCASPQLDO37UpTAC00AzmBjpeUq4bZ2Ro874j6pKaqIV391WdWB4KsWgHShFAAAEEgkQgmOfv2iImAFpIBnsDZecWOj8Xl3OsRIMuTtXfb+7OQyEW/UApAggggEBwCAT7/F0bygRAC8VQaKDMrMO6bfZqlbncmnBtJ429or2FCKUIIIAAAggEvkAozN+2ygRAC8FQaaA3V+3SEx9uVmSE9MaoNF3RsbGFCqUIIIAAAggEtkCozN82ygRAC71QaSDzUMijizZpwdo9SoyPVvr4/mrTqK6FDKUIIIAAAggErkCozN82wgRAC71QaqDisnLd8mqm1u3OU4cm9bR4XD/Vi4u20KEUAQQQQACBwBQIpfn7XIUJgOcqJynUGujgkSINnLJCPxwp1n93bqoZt/VUpLkvzIIAAggggEAICYTa/H0up4YAeC5qP9WEYgOt352rm2ZmqqTcpfv/q4Pu/6+OFkKUIoAAAgggEHgCoTh/11SZAFhTsZPWD9UGem/tHj208CvnSGeO6Kmru5xnoUQpAggggAACgSUQqvN3TZQJgDXROmXdUG6gJ9M3a07GLtWNjXK+D9ixaX0LKUoRQAABBBAIHIFQnr+rq0wArK7UadYL5QYqLXdp5Gv/0aqsw2rTMEEfjuuvpIQYCy1KEUAAAQQQCAyBUJ6/qytMAKyuVJgFQHO4zi+ETFmh7NzjGtChkeaMSlMUD4VYdAylCCCAAAKBIEAAlAiAFp0YDg20Zd8R3TA9Q8dLyzX28naa8NsLLcQoRQABBBBAwP8C4TB/n02ZAHg2oV/4+3BpoP/vq30a/856R8L8XvDg7s0t1ChFAAEEEEDAvwLhMn//kjIB0KIHw6mBXli2VdOW71RcdKQW/aGvujZPspCjFAEEEEAAAf8JhNP8fSZlAqBF/4VTA5W73Lpj7hot3/ajUpPilX5PfzWqF2ehRykCCCCAAAL+EQin+ZsA6IUeC7cGyj9eqqFTVyrr0DGltU3RvDt7KSYq0guybBIBBBBAAAHvCYTb/H06Sa4AWvRXODbQtwcLNGRqho4Wl2lE79aaOKSrhSClCCCAAAII+F4gHOfvU5UJgBZ9F64N9K8tP+iut9bK7ZaeG9ZNN6e1slCkFAEEEEAAAd8KhOv8fbIyAdCi58K5gSb/e4f++ul2xURF6J9jeqtn6xQLSUoRQAABBBDwnUA4z98VygRAi34L5wZyu93647x1Wvr1ATWuH6cl4/vrvKR4C01KEUAAAQQQ8I1AOM/fBMBa6LFwb6BjxWXOS6K3HijQxS2StGBsH8XHRNWCLJtAAAEEEEDAewLhPn8bWa4AWvQXDSTtPlyoQVNXKK+wVDf0aKGXfneRIiIiLFQpRQABBBBAwLsCzN8EQKsOo4FO8K3YcUgjX18tl1t64vrOGt2/rZUrxQgggAACCHhTgPmbAGjVXzTQz3yzv8jS0x99o6jICL05Ok39zm9kZUsxAggggAAC3hJg/iYAWvUWDfQzn3ko5E/vbtT76/cqOSHGeSikZUqClS/FCCCAAAIIeEOA+ZsAaNVXNFBlvqLScv1+5ip9lZ2vTufV1/t/7KuE2GgrY4oRQAABBBCobQHmbwKgVU/RQFX59ucf18DJK3XoaLGu69ZMU4ZfwkMhVl1GMQIIIIBAbQswfxMArXqKBjo939pdObplVqZKy9166OoLNO6q862cKUYAAQQQQKA2BZi/CYBW/UQDnZnvndW79efFm2TeCPPa/1yqX3VqamVNMQIIIIAAArUlwPxNALTqJRrol/n+b/EmzVu9W/XjorV4XD+d36SelTfFCCCAAAII1IYA8zcB0KqPaKBf5ispc+nW2ZlasytX7RrX1Qfj+ikxPsbKnGIEEEAAAQRsBZi/CYBWPUQDnZ3vx4JiDZqyQvvzi/SrTk00a+SlzrsCWRBAAAEEEPCXAPM3AdCq92ig6vFtys7XjTMyVFzm0rir2uuhqztVr5C1EEAAAQQQ8IIA8zcB0KqtaKDq832wfq/uX7DBKZg6vIeuu6hZ9YtZEwEEEEAAgVoUYP4mAFq1Ew1UM75nPtqiWV98pzoxUVr0h77qnJpYsw2wNgIIIIAAArUgwPxNALRqIxqoZnxl5S6NmrNGX+w4pBYN6ih9fH+l1I2t2UZYGwEEEEAAAUsB5m8CoFUL0UA158srLNGgKSu1O6dQfds31Juj0xQdFVnzDVGBAAIIIIDAOQowfxMAz7F1TpTRQOfGt+1AgYZOW6nCknKN6tdGfxnY5dw2RBUCCCCAAALnIMD8TQA8h7b5uYQGOne+ZV8f0N1vf+ls4KXfXawbe7Y4941RiQACCCCAQA0EmL8JgDVol6qr0kBWfPrbp9v1j3/vUGx0pN4d20fdWybbbZBqBBBAAAEEqiHA/E0ArEabnHkVGsiKTy6XW2Pf/lKfbvlBTRPjtGR8fzVJjLfbKNUIIIAAAgicRYD5mwBo9SGhgaz4nOKColINnZahbw8eVY9WyZo/prfioqPsN8wWEEAAAQQQOIMA8zcB0OrDQQNZ8XmKvzt0TIOnrNCRojLdfFlLTRrWTRER/Fxc7eiyFQQQQACBUwWYvwmAVp8KGsiKr1Lx8m0HNXrOGrnc0sTBXTSiT5va2zhbQgABBBBA4CQB5m8CoNUHggay4qtSPOOznXpu6VZFR0Zo3p291Ktdw9rdAVtDAAEEEECA17g5PRDhdrvddMO5CRAAz83tTFWmFe/75walb9ynhnVjlX5PfzVPrlO7O2FrCCCAAAJhL8D8TQC0+hDQQFZ8py0+XlKuG2dkaPO+I+qSmqiFd/dVnVgeCql9abaIAAIIhK8A8zcB0Kr7aSArvjMWZ+cWOj8Xl3OsRIMuTtXfb+7OQyHeoWarCCCAQFgKMH8TAK0anway4vvF4sysw7pt9mqVudyacG0njb2ivfd2xpYRQAABBMJKgPmbAGjV8DSQFd9Zi99ctUtPfLhZkRHSG6PSdEXHxmetYQUEEEAAAQTOJsD87aMAOG3aNL344ovav3+/unTpoldeeUUDBgw44/lZtGiRHn/8ce3cuVPt27fXM888o6FDh3rWNw8LPPXUU3r11VeVm5urXr16aerUqc62Kxbz3++9916lp6c7/2nQoEGaPHmykpOr/tzYt99+q0suuURRUVHKy8s7W994/p4GqjbVOa1ozvOjizZpwdo9SoyPVvr4/mrTqO45bYsiBBBAAAEEKgSYv30QABcsWKARI0bIhMB+/fpp5syZmj17trZs2aJWrVpV6cZVq1Y54XDixIlO6Fu8eLGeeOIJrVixwgl6Znn++eedUDhnzhx17NhRTz/9tD7//HNt27ZN9evXd9a59tprlZ2d7YREs4wZM0Zt2rTRkiVLKu2ztLRUffv2VePGjZWRkUEADLD/fSguK9ctr2Zq3e48dWhST4vH9VO9uOgAGyXDQQABBBAIJgECoA8CoAltPXr00PTp0z29ceGFF2rIkCGaNGlSlX656aabZE7M0qVLPX93zTXXqEGDBpo/f77MVaHU1FTdf//9euSRR5x1iouL1bRpUycYjh07Vt988406d+6szMxMT2g0/9ynTx9t3bpVF1xwgWfbZhv79u3Tr3/9a2ebXAEMvI/wwSNFGjhlhX44Uqz/7txUM27rqUhzX5gFAQQQQACBcxAgAHo5AJaUlCghIUHvvfdepVu49913nzZs2KDPPvusymkzVwUfeOAB50/F8vLLLzu3jb///ntlZWU5t4XXrVvn3LatWAYPHuzc3p07d65ef/11Pfjgg1XCnPl7s61Ro0Y5Zf/v//0/3Xnnnc5Y3n///bMGQBM0zZ+KxTRQy5YtlZ+fr8TExHNoQUqqK7B+d65umpmpknKX7v+vDrr/vzpWt5T1EEAAAQQQqCRAAPRyADRX1po3b66VK1c6t1krlmeffdYJauaW7alLbGysc2t3+PDhnr965513nNBmwpe5TWtuJe/du9e5ElixmFu8JiB+8sknMts329i+fXulzZvbxWY7EyZM0OHDh50A+fbbb+vyyy931j/bFcAnn3zS+e7hqQsB0Df/y/Le2j16aOFXzs5mjuipq7uc55sdsxcEEEAAgZASIAD6KACa0GZuv1Ys5vt7b731lnM79nQB0ITDW265xfNX8+bN0x133KGioiJPADThslmzZp517rrrLu3Zs0fLli1zAuDpAmaHDh2c7Tz66KMaNmyY8/3B5557ztlGdQIgVwD9//l/Mn2z5mTsUt3YKOf7gB2bnvjOJwsCCCCAAALVFSAAejkABvItYHM7+OjRo55eMd8tdLlczpPA5sGR0aNHn7WPaKCzEtX6CqXlLo187T9alXVYbRom6MNx/ZWUEFPr+2GDCCCAAAKhK8D87eUAaFrHPATSs2dP5yngisU8oGG+s3emh0AKCgr08ccfe9Y3T/SawHbyQyDmO4IPP/yws44Jmk2aNKnyEMjq1auVlpbmrGP+uXfv3p6HQMyDIuXl5Z59fPjhh069uVppblubh07OttBAZxPyzt+bXwgZOHmF9uYd14AOjTRnVJqieCjEO9hsFQEEEAhBAeZvHwTAitfAzJgxw7kNbK6uzZo1S5s3b1br1q01cuRIJ3BVhEETwMx38sxtYhMSTTB77LHHqrwGxqz/xhtvyNzWNbd8ly9fXuU1MOY2sXntjFnMdwTN/k59DUxFX1fnFvCpnwEayH//q7B5X75umJ6holKXxl7eThN+e6H/BsOeEUAAAQSCSoD52wcB0HSEufr3wgsvOC+C7tq1q/Mkrgl5Zrnyyiud9/OZAFaxLFy40Al9FU/8mjBovrNXsVS8CNqEu5NfBG22XbHk5ORUeRH0lClTTvsiaFNDAAyqz64z2CUb9+me+eudfza/Fzy4e/PgOwhGjAACCCDgcwECoI8CoM/PrI92SAP5CPoXdvP8sq2avnyn4qIjtegPfdW1eZL/B8UIEEAAAQQCWoD5mwBo1aA0kBVfrRSXu9y6Y+4aLd/2o1KT4pV+T381qhdXK9tmIwgggAACoSnA/E0AtOpsGsiKr9aK84+XaujUlco6dExpbVM0785eiomKrLXtsyEEEEAAgdASYP4mAFp1NA1kxVerxd8eLNCQqRk6WlymEb1ba+KQn78PWqs7YmMIIIAAAkEvwPxNALRqYhrIiq/Wi/+15Qfd9dZaud3Sc8O66ea0VrW+DzaIAAIIIBD8AszfBECrLqaBrPi8Ujz53zv010+3KyYqQv8c01s9W6d4ZT9sFAEEEEAgeAWYvwmAVt1LA1nxeaXYvCLoj/PWaenXB9S4fpyWjO+v85LivbIvNooAAgggEJwCzN8EQKvOpYGs+LxWfKy4zHlJ9GXDZscAACAASURBVNYDBbq4RZIWjO2j+Jgor+2PDSOAAAIIBJcA8zcB0KpjaSArPq8W7z5cqEFTVyivsFQ39Gihl353kSIiIry6TzaOAAIIIBAcAszfBECrTqWBrPi8XrxixyGNfH21XG7pies7a3T/tl7fJztAAAEEEAh8AeZvAqBVl9JAVnw+KZ79RZae/ugbRUVG6M3Raep3fiOf7JedIIAAAggErgDzNwHQqjtpICs+nxSbh0L+9O5Gvb9+r5ITYpyHQlqmJPhk3+wEAQQQQCAwBZi/CYBWnUkDWfH5rLiotFy/n7lKX2Xnq9N59fX+H/sqITbaZ/tnRwgggAACgSXA/E0AtOpIGsiKz6fF+/OPa+DklTp0tFjXdWumKcMv4aEQn54BdoYAAggEjgDzNwHQqhtpICs+nxev3ZWjW2ZlqrTcrYeuvkDjrjrf52NghwgggAAC/hdg/iYAWnUhDWTF55fid1bv1p8Xb5J5I8xr/3OpftWpqV/GwU4RQAABBPwnwPxNALTqPhrIis9vxf+3eJPmrd6t+nHRWjyun85vUs9vY2HHCCCAAAK+F2D+JgBadR0NZMXnt+KSMpdunZ2pNbty1a5xXX0wrp8S42P8Nh52jAACCCDgWwHmbwKgVcfRQFZ8fi3+saBYg6as0P78Iv2qUxPNGnmp865AFgQQQACB0Bdg/iYAWnU5DWTF5/fiTdn5unFGhorLXBp3VXs9dHUnv4+JASCAAAIIeF+A+ZsAaNVlNJAVX0AUf7B+r+5fsMEZy9ThPXTdRc0CYlwMAgEEEEDAewLM3wRAq+6igaz4Aqb4mY+2aNYX36lOTJQW/aGvOqcmBszYGAgCCCCAQO0LMH8TAK26igay4guY4rJyl0bNWaMvdhxSiwZ1lD6+v1LqxgbM+BgIAggggEDtCjB/EwCtOooGsuILqOK8whINmrJSu3MK1bd9Q705Ok3RUZEBNUYGgwACCCBQOwLM3wRAq06igaz4Aq5424ECDZ22UoUl5RrVr43+MrBLwI2RASGAAAII2AswfxMArbqIBrLiC8jiZV8f0N1vf+mM7aXfXawbe7YIyHEyKAQQQACBcxdg/iYAnnv3SKKBrPgCtvhvn27XP/69Q7HRkXp3bB91b5kcsGNlYAgggAACNRdg/iYA1rxrTqqggaz4ArbY5XJr7Ntf6tMtP6hpYpyWjO+vJonxATteBoYAAgggUDMB5m8CYM065pS1aSArvoAuLigq1dBpGfr24FH1aJWs+WN6Ky46KqDHzOAQQAABBKonwPxNAKxep5xhLRrIii/gi787dEyDp6zQkaIy3XxZS00a1k0REfxcXMCfOAaIAAIInEWA+ZsAaPUhoYGs+IKiePm2gxo9Z41cbmni4C4a0adNUIybQSKAAAIInFmA+ZsAaPX5oIGs+IKmeMZnO/Xc0q2KjozQvDt7qVe7hkEzdgaKAAIIIFBVgPmbAGj1uaCBrPiCptjtduu+f25Q+sZ9alg3Vun39Ffz5DpBM34GigACCCBQWYD5mwBo9Zmggaz4gqr4eEm5bpyRoc37jqhLaqIW3t1XdWJ5KCSoTiKDRQABBH4SYP4mAFp9GGggK76gK87OLXR+Li7nWIkGXZyqv9/cnYdCgu4sMmAEEECA9/iaHohwm/tbLOckQAA8J7agLsrMOqzbZq9WmcutCdd20tgr2gf18TB4BBBAIBwFmL8JgFZ9TwNZ8QVt8ZurdumJDzcrMkJ6Y1SarujYOGiPhYEjgAAC4SjA/E0AtOp7GsiKL2iLzUXzRxdt0oK1e5QYH6308f3VplHdoD0eBo4AAgiEmwDzNwHQqudpICu+oC4uLivXLa9mat3uPHVoUk+Lx/VTvbjooD4mBo8AAgiEiwDzNwHQqtdpICu+oC8+eKRI109eoYMFxfpN56aaeVtPRZr7wiwIIIAAAgEtwPxNALRqUBrIii8kitfvztVNMzNVUu7Sfb/uoAd+0zEkjouDQAABBEJZgPmbAGjV3zSQFV/IFL+7do8eXviVczwzR/TU1V3OC5lj40AQQACBUBRg/iYAWvU1DWTFF1LFT6Zv1pyMXaobG+V8H7Bj0/ohdXwcDAIIIBBKAszfBECrfqaBrPhCqri03KWRr/1Hq7IOq03DBH04rr+SEmJC6hg5GAQQQCBUBJi/CYBWvUwDWfGFXLH5hZCBk1dob95xDejQSHNGpSmKh0JC7jxzQAggEPwCzN8EQKsupoGs+EKyePO+fN0wPUNFpS6NvbydJvz2wpA8Tg4KAQQQCGYB5m8CoFX/0kBWfCFbvGTjPt0zf71zfOb3ggd3bx6yx8qBIYAAAsEowPxNALTqWxrIii+ki59ftlXTl+9UXHSkFv2hr7o2Twrp4+XgEEAAgWASYP4mAFr1Kw1kxRfSxeUut+6Yu0bLt/2o1KR4pd/TX43qxYX0MXNwCCCAQLAIMH8TAK16lQay4gv54vzjpRo6daWyDh1TWtsUzbuzl2KiIkP+uDlABBBAINAFmL8JgFY9SgNZ8YVF8bcHCzRkaoaOFpdpRO/Wmjika1gcNweJAAIIBLIA8zcB0Ko/aSArvrAp/teWH3TXW2vldkvPDeumm9Nahc2xc6AIIIBAIAowfxMArfqSBrLiC6viyf/eob9+ul0xURH655je6tk6JayOn4NFAAEEAkmA+ZsAaNWPNJAVX1gVu91u/XHeOi39+oAa14/TkvH9dV5SfFgZcLAIIIBAoAgwfxMArXqRBrLiC7viY8Vlzkuitx4o0MUtkrRgbB/Fx0SFnQMHjAACCPhbgPmbAGjVgzSQFV9YFu8+XKhBU1cor7BUN/RooZd+d5EiIiLC0oKDRgABBPwlwPxNALTqPRrIii9si1fsOKSRr6+Wyy09cX1nje7fNmwtOHAEEEDAHwLM3z4KgNOmTdOLL76o/fv3q0uXLnrllVc0YMCAM57zRYsW6fHHH9fOnTvVvn17PfPMMxo6dKhnffN9qqeeekqvvvqqcnNz1atXL02dOtXZdsVi/vu9996r9PR05z8NGjRIkydPVnJysvPv27Zt0913360tW7YoPz9fqampGj58uP7yl78oJiamWv1IA1WLiZVOIzD7iyw9/dE3ioqM0Juj09Tv/EY4IYAAAgj4SID52wcBcMGCBRoxYoRMCOzXr59mzpyp2bNnO8GrVauqr8NYtWqVEw4nTpzohL7FixfriSee0IoVK5ygZ5bnn3/eCYVz5sxRx44d9fTTT+vzzz93Ql39+vWdda699lplZ2c7IdEsY8aMUZs2bbRkyRLn37OysvTZZ5+pR48eTijcuHGj7rrrLt1xxx169tlnq9WCNFC1mFjpNALm/8T86d2Nen/9XiUnxDgPhbRMScAKAQQQQMAHAszfPgiAJrSZkDV9+nTPKb3wwgs1ZMgQTZo0qcppvummm2ROzNKlSz1/d80116hBgwaaP3++zMRprtbdf//9euSRR5x1iouL1bRpUycYjh07Vt988406d+6szMxMT2g0/9ynTx9t3bpVF1xwwWnb68EHH9SaNWv0xRdfVKv9aKBqMbHSGQSKSsv1+5mr9FV2vjqdV1/v/7GvEmKj8UIAAQQQ8LIA87eXA2BJSYkSEhL03nvvVbqFe99992nDhg3OFbhTF3NV8IEHHnD+VCwvv/yyc9v4+++/d67cmdvC69at0yWXXOJZZ/Dgwc6VvLlz5+r111+XCXN5eXmVNm/+3mxr1KhRVfb77bffOreJhw0b5lxRPN1igqb5U7GYBmrZsqVzCzkxMdHL7crmQ1Fgf/5xDZy8UoeOFuu6bs00ZfglPBQSiieaY0IAgYASIAB6OQDu27dPzZs318qVK9W3b1/PyTe3WE1QM7dsT11iY2OdW7vm+3gVyzvvvOOENhO+MjIynFvJe/fuda4EVizmFq8JiJ988olzC9dsY/v27ZU2b24Xm+1MmDDB89/NuEyYNNs22zBXKiMjT/97rU8++aTz3cNTFwJgQH2ug24wa3fl6JZZmSotd+uhqy/QuKvOD7pjYMAIIIBAMAkQAH0UAE1oM7dfKxbz/b233nrLuR17ugBowuEtt9zi+at58+Y5380rKiryBEATLps1a+ZZx3x/b8+ePVq2bJkTAE8XMDt06OBs59FHH/XUmZqCggLnO4APPfSQ8+DIww8/fNo+5gpgMH28g2us76zerT8v3iTzRpjX/udS/apT0+A6AEaLAAIIBJEAAdDLATCYbgGbvn377bedq4AmEEZFnf0FvTRQEH3ag2Co/7d4k+at3q36cdFaPK6fzm9SLwhGzRARQACB4BNg/vZyADQtYR4C6dmzp/MUcMViHtAw39k700MgJoB9/PHHnvXNE73m+3snPwRiviNYcaXOBM0mTZpUeQhk9erVSktLc7Zj/rl3796/+BCIuSo5evRoHT9+XNHRZ/8yPg0UfB/6QB5xSZlLt87O1JpduWrXuK4+GNdPifHVeyVRIB8XY0MAAQQCTYD52wcBsOI1MDNmzHBuA5vXssyaNUubN29W69atNXLkSOd7ghVh0Nwuvvzyy53XvJiQ+OGHH+qxxx6r8hoYs/4bb7whc1vX3PJdvnx5ldfAmNvE5rUzZjFX9sz+Kl4DY24rm/f9devWTXFxcfryyy+dB0+uvPJK50pgdRYaqDpKrFMTgR8LijVoygrtzy/Srzo10ayRlzrvCmRBAAEEEKg9AeZvHwRAc7rM1b8XXnjBeRF0165dnSdxTcgziwlc5v185qGNimXhwoVO6Kt44teEQfN0bsVS8SJoE+5OfhG02XbFkpOTU+VF0FOmTPG8CNoEUzMm86CI2Z4Jh7fddpsTAuPj46vVZTRQtZhYqYYCm7LzdeOMDBWXuTTuqvZ66OpONdwCqyOAAAII/JIA87ePAmCotiENFKpn1v/H9cH6vbp/wQZnIFOH99B1F/38wJP/R8cIEEAAgeAWYP4mAFp1MA1kxUfxWQSe+WiLZn3xnerERGnRH/qqcyrvmqRpEEAAgdoQYP4mAFr1EQ1kxUfxWQTKyl0aNWeNvthxSC0a1FH6+P5KqRuLGwIIIICApQDzNwHQqoVoICs+iqshkFdYokFTVmp3TqH6tm+oN0enKTrq9C8qr8bmWAUBBBBAQHJ+cjYpKSmsf8krwm2egGA5JwEa6JzYKKqhwLYDBRo6baUKS8o1ql8b/WVglxpugdURQAABBE4WYP7mCqDVJ4IGsuKjuAYCy74+oLvf/tKpeOl3F+vGni1qUM2qCCCAAAIEwMo9wBVAi88EAdACj9IaC/zt0+36x793KDY6Uu+O7aPuLZNrvA0KEEAAAQS4BWx6gABo8UkgAFrgUVpjAZfLrbFvf6lPt/ygpolxWjK+v5okVu+dlTXeGQUIIIBACAswfxMArdqbBrLio/gcBAqKSjV0Woa+PXhUPVola/6Y3oqLPvvvVp/DrihBAAEEQlaA+ZsAaNXcNJAVH8XnKPDdoWMaPGWFjhSV6ebLWmrSsG6KiODn4s6RkzIEEAhDAeZvAqBV29NAVnwUWwgs33ZQo+eskcstTRzcRSP6tLHYGqUIIIBAeAkwfxMArTqeBrLio9hSYMZnO/Xc0q2KjozQvDt7qVe7hpZbpBwBBBAIDwHmbwKgVafTQFZ8FFsKmFd43vfPDUrfuE8N68Yq/Z7+ap5cx3KrlCOAAAKhL8D8TQC06nIayIqP4loQOF5SrhtnZGjzviPqkpqohXf3VZ1YHgqpBVo2gQACISzA/E0AtGpvGsiKj+JaEsjOLXR+Li7nWIkGXZyqv9/cnYdCasmWzSCAQGgKMH8TAK06mway4qO4FgUysw7r1tmrVe5ya8K1nTT2iva1uHU2hQACCISWAPM3AdCqo2kgKz6Ka1lgbsYu/SV9syIjpDdGpemKjo1reQ9sDgEEEAgNAeZvAqBVJ9NAVnwU17KAeSjkkUVf6d212UqMj1b6+P5q06huLe+FzSGAAALBL8D8TQC06mIayIqPYi8IFJeV6+ZXM7V+d546NKmnxeP6qV5ctBf2xCYRQACB4BVg/iYAWnUvDWTFR7GXBH44UqSBk1foYEGxftO5qWbe1lOR5r4wCwIIIICAI8D8TQC0+ijQQFZ8FHtRYP3uXN00M1Ml5S7d9+sOeuA3Hb24NzaNAAIIBJcA8zcB0KpjaSArPoq9LPDu2j16eOFXzl5m3NZT13Q9z8t7ZPMIIIBAcAgwfxMArTqVBrLio9gHAk+mb9acjF2qGxvlfB+wY9P6Ptgru0AAAQQCW4D5mwBo1aE0kBUfxT4QKC13aeRr/9GqrMNq3TBB6eP6Kykhxgd7ZhcIIIBA4AowfxMArbqTBrLio9hHAuYXQsxDIXvzjmtAh0aaMypNUTwU4iN9doMAAoEowPxNALTqSxrIio9iHwps3pevG6ZnqKjUpbGXt9OE317ow72zKwQQQCCwBJi/CYBWHUkDWfFR7GOBJRv36Z756529mt8LHty9uY9HwO4QQACBwBBg/iYAWnUiDWTFR7EfBJ5ftlXTl+9UXHSkFv2hr7o2T/LDKNglAggg4F8B5m8CoFUH0kBWfBT7QaDc5dYdc9do+bYflZoUr/R7+qtRvTg/jIRdIoAAAv4TYP4mAFp1Hw1kxUexnwTyj5dq6NSVyjp0TGltUzTvzl6KiYr002jYLQIIIOB7AeZvAqBV19FAVnwU+1Hg24MFGjI1Q0eLyzSid2tNHNLVj6Nh1wgggIBvBZi/CYBWHUcDWfFR7GeBf235QXe9tVZut/TcsG66Oa2Vn0fE7hFAAAHfCDB/EwCtOo0GsuKjOAAEJv97h/766XbFREXon2N6q2frlAAYFUNAAAEEvCvA/E0AtOowGsiKj+IAEHC73frjvHVa+vUBNa4fpyXj++u8pPgAGBlDQAABBLwnwPxNALTqLhrIio/iABE4VlzmvCR664ECXdwiSQvG9lF8TFSAjI5hIIAAArUvwPxNALTqKhrIio/iABLYfbhQg6auUF5hqW7o0UIv/e4iRUREBNAIGQoCCCBQewLM3wRAq26igaz4KA4wgRU7Dmnk66vlcktPXN9Zo/u3DbARMhwEEECgdgSYvwmAVp1EA1nxURyAArO/yNLTH32jqMgIvTk6Tf3ObxSAo2RICCCAgJ0A8zcB0KqDaCArPooDUMA8FPKndzfq/fV7lZwQ4zwU0jIlIQBHypAQQACBcxdg/iYAnnv3SKKBrPgoDlCBotJy/X7mKn2Vna9O59XX+3/sq4TY6AAdLcNCAAEEai7A/E0ArHnXnFRBA1nxURzAAvvzj2vg5JU6dLRY13VrpinDL+GhkAA+XwwNAQRqJsD8TQCsWcecsjYNZMVHcYALrN2Vo1tmZaq03K2Hrr5A4646P8BHzPAQQACB6gkwfxMAq9cpZ1iLBrLiozgIBN5ZvVt/XrxJ5o0wr/3PpfpVp6ZBMGqGiAACCPyyAPM3AdDqM0IDWfFRHCQC/7d4k+at3q36cdFaPK6fzm9SL0hGzjARQACB0wswfxMArT4bNJAVH8VBIlBS5tKtszO1Zleu2jWuqw/G9VNifEyQjJ5hIoAAAlUFmL8JgFafCxrIio/iIBL4saBYg6as0P78Iv2qUxPNGnmp865AFgQQQCAYBZi/CYBWfUsDWfFRHGQCm7LzdeOMDBWXuTTuqvZ66OpOQXYEDBcBBBA4IcD8TQC0+izQQFZ8FAehwAfr9+r+BRuckU8d3kPXXdQsCI+CISOAQLgLMH8TAK0+AzSQFR/FQSrwzEdbNOuL71QnJkqL/tBXnVMTg/RIGDYCCISrAPM3AdCq92kgKz6Kg1SgrNylUXPW6Isdh9SiQR2lj++vlLqxQXo0DBsBBMJRgPmbAGjV9zSQFR/FQSyQV1iiQVNWandOofq2b6g3R6cpOioyiI+IoSOAQDgJMH8TAK36nQay4qM4yAW2HSjQ0GkrVVhSrlH92ugvA7sE+RExfAQQCBcB5m8CoFWv00BWfBSHgMCyrw/o7re/dI7kpd9drBt7tgiBo+IQEEAg1AWYvwmAVj1OA1nxURwiAn/7dLv+8e8dio2O1Ltj+6h7y+QQOTIOAwEEQlWA+ZsAaNXbNJAVH8UhIuByuTX27S/16ZYf1DQxTkvG91eTxPgQOToOAwEEQlGA+ZsAaNXXNJAVH8UhJFBQVKqh0zL07cGj6tEqWfPH9FZcdFQIHSGHggACoSTA/O2jADht2jS9+OKL2r9/v7p06aJXXnlFAwYMOGMvLVq0SI8//rh27typ9u3b65lnntHQoUM967vdbj311FN69dVXlZubq169emnq1KnOtisW89/vvfdepaenO/9p0KBBmjx5spKTT9yeWr58uV5++WX95z//cd4I3qFDBz300EO69dZbq93jNFC1qVgxDAS+O3RMg6es0JGiMt18WUtNGtZNERH8XFwYnHoOEYGgE2D+9kEAXLBggUaMGCETAvv166eZM2dq9uzZ2rJli1q1alWlaVatWuWEw4kTJzqhb/HixXriiSe0YsUKJ+iZ5fnnn3dC4Zw5c9SxY0c9/fTT+vzzz7Vt2zbVr1/fWefaa69Vdna2ExLNMmbMGLVp00ZLlixx/v3ZZ5/V8ePHnfWaNm2qjz76SA888IA++OADDRw4sFrNTANVi4mVwkhg+baDGj1njVxuaeLgLhrRp00YHT2HigACwSLA/O2DAGhCW48ePTR9+nRPX1x44YUaMmSIJk2aVKVXbrrpJueK3NKlSz1/d80116hBgwaaP3++zNW/1NRU3X///XrkkUecdYqLi50QZ4Lh2LFj9c0336hz587KzMz0hEbzz3369NHWrVt1wQUXnLZHr7vuOmc7r7/+erV6mAaqFhMrhZnAjM926rmlWxUdGaF5d/ZSr3YNw0yAw0UAgUAXYP72cgAsKSlRQkKC3nvvvUq3cO+77z5t2LBBn332WZUeMVcFzZU486diMbdqzW3j77//XllZWc5t4XXr1umSSy7xrDN48GDn9u7cuXOdAPfggw8qLy+v0vbN35ttjRo16rS92b9/f/Xu3VsvvfRStXqXBqoWEyuFmYD5P2n3/nODlmzcp4Z1Y5V+T381T64TZgocLgIIBLIA87eXA+C+ffvUvHlzrVy5Un379vX0grn9aoKauWV76hIbG+vc2h0+fLjnr9555x0ntJkrfRkZGc6t5L179zpXAisWc4vXBMRPPvnEub1rtrF9+/ZKmze3i812JkyYUGW/CxcudL7/Z4Llyd8lPHlFs3/zp2IxDdSyZUvl5+crMZHfQw3kDztj863A8ZJy3TA9Q1v2H1GX1EQtvLuv6sTyUIhvzwJ7QwCBMwkQAH0UAE1oM7dfKxbz/b233nrLuR17ugBowuEtt9zi+at58+bpjjvuUFFRkScAmnDZrFkzzzp33XWX9uzZo2XLljkB8HQB0zzoYbbz6KOPVtqteSDk+uuvd76nOHLkyDN+Yp588knn4ZNTFwIg/yODQFWB7NxC5+fico6VaNDFqfr7zd15KIRGQQCBgBAgAHo5AAbDLWBzG9qEv7/+9a/OgyK/tHAFMCA+twwiiARW7Tys215brXKXWxOu7aSxV7QPotEzVAQQCFUBAqCXA6BpHPMQSM+ePZ2raxWLeUDDfGfvTA+BFBQU6OOPP/asb57UNd/fO/khEPMdwYcffthZxwTNJk2aVHkIZPXq1UpLS3PWMf9svt938kMgFVf+zMMj48aNq3Gf00A1JqMgDAXmZuzSX9I3KzJCemNUmq7o2DgMFThkBBAIJAHmbx8EwIrXwMyYMcO5DWxeyzJr1ixt3rxZrVu3dm65mu8JVoRBc7v48ssvd17zYkLihx9+qMcee6zKa2DM+m+88Ybz/j5zy9eEuVNfA2NuE5vXzpjFXN0z+6t4DYxZ3zz1ax5IMe8LrFjMdxBTUlKq1ac0ULWYWCnMBcxDIY8s+krvrs1WYny00sf3V5tGdcNchcNHAAF/CjB/+yAAmhNsrv698MILzougu3bt6jyJa0KeWa688krn/XzmoY2KxTyQYUJfxRO/JgwOGzbM8/cVL4I24e7kF0GbbVcsOTk5VV4EPWXKFM+LoG+//Xbne4KnLldccYUTJquz0EDVUWIdBKTisnLd/Gqm1u/OU4cm9bR4XD/Vi4uGBgEEEPCLAPO3jwKgX86uD3ZKA/kAmV2EjMAPR4o0cPIKHSwo1m86N9XM23oq0twXZkEAAQR8LMD8TQC0ajkayIqP4jAUWL87VzfNzFRJuUv3/bqDHvhNxzBU4JARQMDfAszfBECrHqSBrPgoDlOBd9fu0cMLv3KOfsZtPXVN1/PCVILDRgABfwkwfxMArXqPBrLioziMBZ5M36w5GbtUNzbK+T5gx6YnfsObBQEEEPCFAPM3AdCqz2ggKz6Kw1igtNylka/9R6uyDqt1wwR9OK6fkhNiw1iEQ0cAAV8KMH8TAK36jQay4qM4zAXML4SYh0L25h3XgA6N9Mbtlyk6KjLMVTh8BBDwhQDzNwHQqs9oICs+ihHQ5n35zm8GF5W6NPbydprw2wtRQQABBLwuwPxNALRqMhrIio9iBByBJRv36Z75651/Nr8XPLh7c2QQQAABrwowfxMArRqMBrLioxgBj8Dzy7Zq+vKdiouO1KI/9FXX5knoIIAAAl4TYP4mAFo1Fw1kxUcxAh6Bcpdbd8xdo+XbflRqUrzS7+mvRvXiEEIAAQS8IsD8TQC0aiwayIqPYgQqCeQfL9XQqSuVdeiY0tqmaN6dvRTDQyF0CQIIeEGA+ZsAaNVWNJAVH8UIVBH49mCBhkzN0NHiMo3o3VoTh/z8+95wIYAAArUlwPxNALTqJRrIio9iBE4r8K8tP+iut9bK7ZaeG9ZNN6e1QgoBBBCoVQHmbwKgVUPRQFZ8FCNwRoHJ/96hv366XTFREfrnmN7q2ToFLQQQQKDWBJi/CYBWzUQDWfFRjMAZtetLdQAAIABJREFUBdxut/44b52Wfn1AjevHacn4/jovKR4xBBBAoFYEmL8JgFaNRANZ8VGMwC8KHCsuc14SvfVAgS5ukaQFY/soPiYKNQQQQMBagPmbAGjVRDSQFR/FCJxVYPfhQg2aukJ5haW6oUcLvfS7ixQREXHWOlZAAAEEfkmA+ZsAaPUJoYGs+ChGoFoCK3Yc0sjXV8vllp64vrNG929brTpWQgABBM4kwPxNALT6dNBAVnwUI1BtgdlfZOnpj75RVGSE3hydpn7nN6p2LSsigAACpwowfxMArT4VNJAVH8UIVFvAPBTyp3c36v31e5WcEOM8FNIyJaHa9ayIAAIInCzA/E0AtPpE0EBWfBQjUCOBotJy/X7mKn2Vna9O59XX+3/sq4TY6Bptg5URQAABI8D8TQC0+iTQQFZ8FCNQY4H9+cc1cPJKHTparOu6NdOU4ZfwUEiNFSlAAAHmbwKg1aeABrLioxiBcxJYuytHt8zKVGm5Ww9dfYHGXXX+OW2HIgQQCF8B5m8CoFX300BWfBQjcM4C76zerT8v3iTzRpjX/udS/apT03PeFoUIIBB+AszfBECrrqeBrPgoRsBK4P8Wb9K81btVPy5ai8f10/lN6lltj2IEEAgfAeZvAqBVt9NAVnwUI2AlUFLm0q2zM7VmV67aNa6rD8b1U2J8jNU2KUYAgfAQYP4mAFp1Og1kxUcxAtYCPxYUa9CUFdqfX6RfdWqiWSMvdd4VyIIAAgj8kgDzNwHQ6hNCA1nxUYxArQhsys7XjTMyVFzm0rir2uuhqzvVynbZCAIIhK4A8zcB0Kq7aSArPooRqDWBD9bv1f0LNjjbmzq8h667qFmtbZsNIYBA6AkwfxMArbqaBrLioxiBWhV45qMtmvXFd6oTE6VFf+irzqmJtbp9NoYAAqEjwPxNALTqZhrIio9iBGpVoKzcpVFz1uiLHYfUokEdpY/vr5S6sbW6DzaGAAKhIcD8TQC06mQayIqPYgRqXSCvsESDpqzU7pxC9W3fUG+OTlN0VGSt74cNIoBAcAswfxMArTqYBrLioxgBrwhsO1CgodNWqrCkXKP6tdFfBnbxyn7YKAIIBK8A8zcB0Kp7aSArPooR8JrAsq8P6O63v3S2/9LvLtaNPVt4bV9sGAEEgk+A+ZsAaNW1NJAVH8UIeFXgb59u1z/+vUOx0ZF6d2wfdW+Z7NX9sXEEEAgeAeZvAqBVt9JAVnwUI+BVAZfLrbFvf6lPt/ygpolxWjK+v5okxnt1n2wcAQSCQ4D5mwBo1ak0kBUfxQh4XaCgqFRDp2Xo24NH1aNVsuaP6a246Civ75cdIIBAYAswfxMArTqUBrLioxgBnwhk/XhUg6euVEFRmW6+rKUmDeumiAh+Ls4n+OwEgQAVYP4mAFq1Jg1kxUcxAj4TWL7toPOOQLdbmji4i0b0aeOzfbMjBBAIPAHmbwKgVVfSQFZ8FCPgU4Hpy3fq+WVbFR0ZoXl39lKvdg19un92hgACgSPA/E0AtOpGGsiKj2IEfCrgdrt17z83aMnGfWpYN1bp9/RX8+Q6Ph0DO0MAgcAQYP4mAFp1Ig1kxUcxAj4XOF5SrhumZ2jL/iPqkpqohXf3VZ1YHgrx+Ylghwj4WYD5mwBo1YI0kBUfxQj4RSA7t9D5ubicYyUadHGq/n5zdx4K8cuZYKcI+E+A+ZsAaNV9NJAVH8UI+E1g1c7Duu211Sp3uTXh2k4ae0V7v42FHSOAgO8FmL8JgFZdRwNZ8VGMgF8F5mbs0l/SNysyQnpjVJqu6NjYr+Nh5wgg4DsB5m8CoFW30UBWfBQj4FcB81DII4u+0rtrs5UYH6308f3VplFdv46JnSOAgG8EmL8JgFadRgNZ8VGMgN8FisvKdfOrmVq/O08dmtTT4nH9VC8u2u/jYgAIIOBdAeZvAqBVh9FAVnwUIxAQAj8cKdLAySt0sKBYv+ncVDNv66lIc1+YBQEEQlaA+ZsAaNXcNJAVH8UIBIzA+t25umlmpkrKXbrv1x30wG86BszYGAgCCNS+APM3AdCqq2ggKz6KEQgogXfX7tHDC79yxjTjtp66put5ATU+BoMAArUnwPxNALTqJhrIio9iBAJO4Mn0zZqTsUt1Y6Oc7wN2bFo/4MbIgBBAwF6A+ZsAaNVFNJAVH8UIBJxAablLI1/7j1ZlHVbrhgn6cFw/JSfEBtw4GRACCNgJMH8TAK06iAay4qMYgYAUML8QYh4K2Zt33Pm5uKGXNFfvdg3VuVkiD4cE5BljUAjUXID5mwBY8645qYIGsuKjGIGAFdi8L183Tl+l46XlnjEm1YlRr7Yp6tO+oRMIL2han0AYsGeQgSHwywLM3wRAq88IDWTFRzECAS2w+3Chln6937kdvOa7HB0r+TkMmoGn1I31BMI+7Rrq/Cb1+E3hgD6jDA6BnwWYvwmAVp8HGsiKj2IEgkbAfDdw0958md8Qzsw6rLW7citdHTQH0qhenHq3O3GF0ATCto3qEgiD5gwz0HATYP4mAFr1PA1kxUcxAkErUFLm0sbsPGXuPOxcIfzy+1wVl7kqHU/TRBMIT4RBEwpbpSQQCIP2jDPwUBNg/vZRAJw2bZpefPFF7d+/X126dNErr7yiAQMGnLGfFi1apMcff1w7d+5U+/bt9cwzz2jo0KGe9c1veD711FN69dVXlZubq169emnq1KnOtisW89/vvfdepaenO/9p0KBBmjx5spKTk51/Lyoq0t13360vv/xS33zzja6//np98MEHNepxGqhGXKyMQMgKFJWWa8OePOcKoQmEG3bnOS+VPnlJTYpX75+uDppA2KJBQsh6cGAIBLoA87cPAuCCBQs0YsQImRDYr18/zZw5U7Nnz9aWLVvUqlWrKj2yatUqJxxOnDjRCX2LFy/WE088oRUrVjhBzyzPP/+8EwrnzJmjjh076umnn9bnn3+ubdu2qX79E+/tuvbaa5Wdne2ERLOMGTNGbdq00ZIlS5x/P3bsmP73f/9XPXr0kAmc8fHxBMBA/8QyPgSCRMAEQnNV0NwuNqHQhMMyl7vS6Fum1FHvtieuDpo/zZLqBMnRMUwEgl+AAOiDAGhCmwlZ06dP93TMhRdeqCFDhmjSpElVuuimm26SOTFLly71/N0111yjBg0aaP78+TJX/1JTU3X//ffrkUcecdYpLi5W06ZNnWA4duxY54pe586dlZmZ6QmN5p/79OmjrVu36oILLqi039tvv115eXkEwOD/THMECASkQGFJmfO9QXN10ARC833C8lMCYZuGCZ4njM1t4yaJ8QF5LAwKgVAQIAB6OQCWlJQoISFB7733XqVbuPfdd582bNigzz77rEofmauCDzzwgPOnYnn55Zed28bff/+9srKynNvC69at0yWXXOJZZ/Dgwc7t3blz5+r111/Xgw8+6IS6kxfz92Zbo0aNIgCGwieYY0AgSAUKikqdQOhcIcw6rK/35uuUPKj2jet6AqH5LqF5yIQFAQRqR4AA6OUAuG/fPjVv3lwrV65U3759PWft2WefdYKauWV76hIbG+vc2h0+fLjnr9555x0ntJkrfRkZGc6t5L179zpXAisWc4vXBMRPPvlEZvtmG9u3b6+0eXO72GxnwoQJ5xQAzf7Nn4rFNFDLli2Vn5+vxMTE2ulKtoIAAmEnkH+81HnVTMUVwm8OHJG78h1jdWxaz/NASa+2DdWgLr9QEnaNwgHXmgAB0EcB0IQ2c/u1YjHf33vrrbec27GnC4AmHN5yyy2ev5o3b57uuOMO58GNigBowmWzZs0869x1113as2ePli1b5gTA0wXMDh06ONt59NFHzykAPvnkk87DJ6cuBMBa+0yyIQQQkJRXWKLMrBznCqH5s/VAQSWXiAip03mJTiA0r57p1a6hzIuqWRBAoHoCBEAvB8BQuwXMFcDqfbBYCwEEalfg8NFirTZXCH96yvjbg0erBELzs3UVr5y5rE2K6scTCGv3LLC1UBIgAHo5AJpmMQ+B9OzZ03kKuGIxD2iY7+yd6SGQgoICffzxx571zRO95vt7Jz8EYr4j+PDDDzvrmKDZpEmTKg+BrF69Wmlpac465p979+7NQyCh9AnmWBAIU4GDBUXOFUITCFdnHVbWoWOVJKIiI9S1eZInEF7auoHqxkWHqRaHjUBVAQKgDwJgxWtgZsyY4dwGNq9lmTVrljZv3qzWrVtr5MiRzvcEK8KgucV7+eWXO695MSHxww8/1GOPPVblNTBm/TfeeEPmtq655bt8+fIqr4Ext4nNa2fMYr4jaPZX8RoY89/Mq2hMeDSvmTGh0zwgYpbu3btX6/NCA1WLiZUQQMDLAgfyTSA88YSx+R7h7pzCSnuMjozQRS2SfvqVkkbq2bqB6sRGeXlUbB6BwBVg/vZBADSn31z9e+GFF5wXQXft2tUJWibkmeXKK6903s9nHtqoWBYuXOiEvoonfk0YHDZsmOfvK14EbcLdyS+CNtuuWHJycqq8CHrKlCmeF0Gb9cx+zYMjpy5m+9VZaKDqKLEOAgj4WmBv3vETYfCnn64z/37yEhsVqe4tkz0vpr6kVbLiYwiEvj5P7M9/AszfPgqA/jvF3t0zDeRdX7aOAAL2Aub/0Gbn/hQIf7pKeOBIUeVAGB2pHq2S1addI+cqoQmHsdGR9jtnCwgEqADzNwHQqjVpICs+ihFAwA8CJhDuOlzouV1srhIeOvrz663MkOJjInVp6xTPewjN7eOYKAKhH04Xu/SSAPM3AdCqtWggKz6KEUAgAARMINz54zHnu4OZP90yPnyspNLIEmKjZJ4sNi+kNlcIu6YmKppAGABnjyGcqwDzNwHwXHvHqaOBrPgoRgCBABQwgXD7D0e1auchJxSa18/kFZZWGmn9uGhd1jbF85Txhc0SZZ48ZkEgWASYvwmAVr1KA1nxUYwAAkEg4HK5ZX6ZxPPame8Oq6CorNLIE+OjnZdRn3gxdUN1Oq++IgmEQXB2w3eIzN8EQKvup4Gs+ChGAIEgFCh3ubVl3xGtyjrkfI9wza5cHS2uHAgbJMTI/FyduV1s/nRoUk8R5udLWBAIEAHmbwKgVSvSQFZ8FCOAQAgIlJW7tGlv/onvEGblaO2uHBWWlFc6skb1Yj1XCE0gbNeoLoEwBM59MB8C8zcB0Kp/aSArPooRQCAEBUrLXfoqO8/zlPHaXbkqLnNVOtIm9eM8D5SY28atGyYQCEOwFwL5kJi/CYBW/UkDWfFRjAACYSBQXFauDbvznCuE5pbx+t15KimvHAibJcWf+P6guWXcrqFapiSEgQyH6E8B5m8CoFX/0UBWfBQjgEAYChSVlmvd7lznlTMmFG7Yk6fS8sq/vtSiQR3PE8bmoZLU5DphKMUhe1OA+ZsAaNVfNJAVH8UIIICACkvK9OX3uZ5bxl9l58s8aHLyYm4RmyuDzkMl7RqqSWI8cghYCTB/EwBpICsBihFAAIHaFTBPFJsHSSpeTG0eMDklD6pd47qVrhA2qhdXu4NgayEvQAAkAFo1OQ1kxUcxAgggcFaBI0WlWvNdjucK4Zb9R+SufIHQec1MxdVB8z7ClLqxZ90uK4S3APM3AdDqE0ADWfFRjAACCNRYIK+wxPl1ksyfHirZeqCgyjbMi6g9gbBtQyUlxNR4PxSEtgDzNwHQqsNpICs+ihFAAAFrgZxjJVptwuBPgXDHwaOVtmneP90lNVG9f3oxtfkJu8R4AqE1fJBvgPmbAGjVwjSQFR/FCCCAQK0L/FhQ7FwddK4QZh1W1o/HKu3D/EJdt+ZJnlfOXNYmRXXjomt9HGwwsAWYvwmAVh1KA1nxUYwAAgh4XeCHI0We28UmEH5/uLDSPqMjI3RRiyTPi6kvbZ2iOrFRXh8XO/CvAPM3AdCqA2kgKz6KEUAAAZ8L7Ms7XikQZucerzSGmKgIdW+Z7HkxdY9WDRQfQyD0+Yny8g6ZvwmAVi1GA1nxUYwAAgj4XWBPTqHnlTPmCuH+/KJKY4qNjlSPViYQNlLvdinq3ipZcdEEQr+fOMsBMH8TAK1aiAay4qMYAQQQCCgBt9vt3CJ23kH400MlBwuKK40xPiZSPVs38LyH8KIWyYqJigyo42AwZxdg/iYAnr1LfmENGsiKj2IEEEAgoAVMIMw6dMzzDkLztPGhoyWVxpwQG6VL26R4AmHX1ERFEwgD+ryawTF/EwCtmpQGsuKjGAEEEAgqARMIzWtmVpnfMd55WKu/O6zcwtJKx1AvLlqXtWnw03sIG6lzaqKizKPHLAElwPxNALRqSBrIio9iBBBAIKgFXC63tv1QUOkK4ZGiskrHlBgfrbSf3kFofsfYvKQ6kkDo9/PO/E0AtGpCGsiKj2IEEEAgpATKXW59s/+IJxD+57scmd82PnlJTohRr7YVt4wbqWPTeoowb6tm8akA8zcB0KrhaCArPooRQACBkBYoK3dp874jnl8pWbMrR4Ul5ZWOuWHdWOcdhL3bN3S+R9i+cV0CoQ+6gvmbAGjVZjSQFR/FCCCAQFgJlJa79FV2vucJ47Xf56io1FXJoHH9uBPvIGzX0PkeYZuGCQRCL3QJ8zcB0KqtaCArPooRQACBsBYoLivXxj0/B8Ivd+eqpKxyIDwvMf6nB0pOBMKWKQlhbVZbB8/8TQC06iUayIqPYgQQQACBkwSKSsu1fnee58XU6/fkqrTcXcmoeXIdTyA0t43Nv7PUXID5mwBY8645qYIGsuKjGAEEEEDgFwSOl5Try+9ztSrrkDKzcrRxT57KXJUDYauUBM87CM0VwqaJ8ZhWQ4D5mwBYjTY58yo0kBUfxQgggAACNRA4VlymtSYQmvcQZh3Wpuw8nZIH1a5RXc8DJeZ7hOY7hSxVBZi/CYBWnwsayIqPYgQQQAABC4GColKZJ4tNIDRXCL/ely935QuEOr9JPc8VQhMIU+rGWuwxdEqZvwmAVt1MA1nxUYwAAgggUIsC+cdLZd49WHGF0LyT8NTFvIi64gnj3m0bKikhphZHEDybYv4mAFp1Kw1kxUcxAggggIAXBXKPlTg/V1cRCLf/cLTS3sz7py88L9HzUElauxQlxodHIGT+JgBaffRoICs+ihFAAAEEfChw6GixVmflOA+VmFC488djlfZufqGua/OkE+8hbN9Ql7VJkflt41BcmL8JgFZ9TQNZ8VGMAAIIIOBHgYNHik68cibrxFXCXYcLK40mKjJCF7VIOnHLuF1DXdqmgRJiQyMQMn8TAK0+ejSQFR/FCCCAAAIBJLA//7gnDJpguCfneKXRxURF6OIWyZ5bxj1aN1B8TFQAHUH1h8L8TQCsfrecZk0ayIqPYgQQQACBABbIzi30fH8wc+dh7csvqjTa2KhIXdLqRCA0VwnNP8dFB0cgZP4mAFp99GggKz6KEUAAAQSCRMDtdmt3zolA6NwyzjqsH44UVxp9XHSkerZu4HntzEUtkhUbHRmQR8j8TQC0akwayIqPYgQQQACBIBUwgfC7Q8ecIFjxHkLzkMnJS52YKOd7g+YKofkOYbfmSYqOCoxAyPxNALT66NFAVnwUI4AAAgiEiIAJhN8ePOq5OmheTJ1zrKTS0dWNjdJlbVM8Vwi7pCbJPGjij4X5mwBo1Xc0kBUfxQgggAACISrgcrm1/WDBie8Q7jys1d/lyLyo+uSlfny0erVN8byY2ryTMNJHgZD5mwBo9dGjgaz4KEYAAQQQCBMBEwi37D/iXCE0f8z7CAuKyyodfVKdGCcQOreM2zdUxyb1vRYImb8JgFYfPRrIio9iBBBAAIEwFSh3ubV5X77nKeM13+XoWEl5JQ3zu8W926VoSPfm+u8u59WqFPM3AdCqoWggKz6KEUAAAQQQcARKy13atPdEIDRXCNfuytXx0hOB8L5fd9ADv+lYq1LM3wRAq4aigaz4KEYAAQQQQOC0AiVlLn2VnecEwqs6NXF+oq42F+ZvAqBVP9FAVnwUI4AAAggg4BcB5m8CoFXj0UBWfBQjgAACCCDgFwHmbwKgVePRQFZ8FCOAAAIIIOAXAeZvAqBV49FAVnwUI4AAAggg4BcB5m8CoFXj0UBWfBQjgAACCCDgFwHmbwKgVePRQFZ8FCOAAAIIIOAXAeZvAqBV49FAVnwUI4AAAggg4BcB5m8CoFXj0UBWfBQjgAACCCDgFwHmbwKgVePRQFZ8FCOAAAIIIOAXAeZvAqBV49FAVnwUI4AAAggg4BcB5m8CoFXj0UBWfBQjgAACCCDgFwHmbwKgVePRQFZ8FCOAAAIIIOAXAeZvAqBV49FAVnwUI4AAAggg4BcB5m8CoFXj0UBWfBQjgAACCCDgFwHmbwKgVePl5+crOTlZe/bsUWJiotW2KEYAAQQQQAAB3wiYANiyZUvl5eUpKSnJNzsNsL1EuN1ud4CNKWiGk52d7TQQCwIIIIAAAggEn4C5gNOiRYvgG3gtjJgAaIHocrm0b98+1a9fXxERERZbqlpa8f9OQvXqIsdXq+3il41xDv3CXms7DfXzZ6BC/Rg5vnP/OJhrXwUFBUpNTVVkZOS5byiIKwmAAXryQv37CRxfgDZeDYbFOawBVgCuGurnryIAmtt75us6ofg1nVA/h6F+fP7+nwUCoL/PwBn2H+qNz/EFaOPVYFicwxpgBeCqoX7+CIAB2HQ1HFI49GgNSWp1dQJgrXLW3sZCvfE5vtrrFX9tiXPoL/na2W+onz8CYO30iT+3Eg496k9fAqA/9X9h38XFxZo0aZImTJiguLi4AB3luQ+L4zt3u0Cp5BwGypk4t3GE+vkzKqF+jBzfufU+VScECIB0AgIIIIAAAgggEGYCBMAwO+EcLgIIIIAAAgggQACkBxBAAAEEEEAAgTATIACG2QnncBFAAAEEEEAAAQIgPYAAAggggAACCISZAAHQRyd82rRpevHFF7V//3516dJFr7zyigYMGHDGvS9atEiPP/64du7cqfbt2+uZZ57R0KFDPeubt5g/9dRTevXVV5Wbm6tevXpp6tSpzrb9sdTk+GbNmqU333xTX3/9tTPUnj176tlnn1VaWppn6Lfffrvmzp1b6VDMMWZmZvrj8Jx91uQY58yZo1GjRlUZ6//f3nmGTnG8cXxACBp9YSEW7GJs2DEQNRgFxcSCYsSKCrE3LIiCEQ3qCyNqSAioIPrCkoRI1IgVEbtE0ChiFzWxYEnEFzaCSvgMzHGev/vt7t3c3e7//x0Q0budnefz7M5855ln5l68eGEqVqyY+v8odRba8Cht6d69uzl8+PA7TerTp4/ZtWuX/f84+fDIkSP2/Tt9+rR9B7dt22YGDhxYLlLsmz17trlw4YL9tYC5c+eaSZMmvXVNFGaF9F9U+3799VezevVqc/bsWbtTln7j66+/Nr179041k3/Tx6SXWrVqmfv37xfSlKx1R7Xx0KFDpkePHu/Ud+nSJdOiRYvU/wf1tcUyNqp9Zb1ftLVVq1b2maXEyYecasFzd/nyZVOpUiXTpUsX880335jmzZuXizjIP3EbC4v1vPi4jwSgD4oBdfz8889m1KhRVkB07drVrF271qxbt85cvHjRNGjQ4J2rT548acXhkiVLrOhjsFq4cKE5duyYFXoUXhxEIUKjWbNmZunSpYYO5MqVK/an6YpZoto3cuRIy4EOADG0fPly2zHQadWtWzclHh48eGA2bNiQMuW9994z1atXL6ZpqXtFtRG/zJgxw/ojvdSuXTvnOgtpeFT7Hj9+bP79999Uk/755x/Trl07+1wzMFH4Oy4+3LNnjzl+/Ljp2LGj+eKLLwIF4M2bN03r1q3N+PHjzcSJE+21U6ZMMT/++KO9nhKVWSH9F9W+mTNnWlGLQKpatap9z1asWGF+//1306FDh5R42Lp1qzlw4ECq6RUqVDAffPBBIU3JWndUG50A5B1M/xUQ2o8dlDB9bbGMjWofv27ChNKVV69e2Xdw+vTpVvhR+DsuPvzss8/MsGHDzEcffWRo61dffWXOnz9vx8HKlSuXiTmMf+I0FhbrWfF1HwlAXyTLqQfRxsDDjNuVli1b2ggEs6LMMnToUPsblnQIrvDyVKtWzQ5AzHjovOnE582bZ7/CLJ7ZOS8DA1YxS1T7Mtv2+vVra9sPP/xgRo8enRIPT548Mdu3by+mKVnvFdVGBCD+wYZsJWqdhQSRb1uIaDNJIbrmOnMEYJx86Pjxu91BEUDeq99++80QLXKF6N+5c+esaKDky6xQ/gxjX1n3JgpI34MfnXjg/SNKGLcSxkYnAFkhQeSWVYL62lLZHca+zLbhq0GDBhkmLw0bNoy9Dx89emRq1qxpVxK6deuWk3/iNhaW6nnJ9b4SgLmSC3kdUZL333/f/PLLL28t4RIdomMtaxmNqOCsWbPsH1e+/fZbu2z8559/mhs3bthl4TNnzqRm63xvwIABtqPLXDoN2dScvpaLfZk34ge56Qhg1K9fP/sx4oEOjagfNn366ac24sn3il1ysREBOG7cOBvRROC2b9/eRnRddCWXOgtlt4+2tGnTxnTu3NmmJLgSJx+mswszuDIg4avvvvsudSmicciQIeb58+d2Ehb1vS6U/zLrDWNf5jVv3rwxjRo1ssvc06ZNS4kHls35LV0Oo0fwkqrRpEmTYpmS9T5hbHQCELtevnxpl0YXLFjw1rJwUF9bKkPD2JfZtv79+9tAwP79+1MfEQGMqw+vX79uPvzwQxsFJNpeVgnyT5zGwlI9K/ncVwIwH3ohrr13754VASwhseTpCh0pQi1ziZDPET0IiBEjRqS+v2XLFptTxgt+4sQJu4R69+5dGwl0ZcKECVYg7tu3L0TL/HwlF/sy7zx16lTbZnICXX4cy2tVqlSxM1lmtORDsmxADlexfxklFxvJVaSDQxgRzUVI7N6920aQ6PRyqdOPx96tJd+2nDp1yooDlg/T8zjj5MOoApC0CgTs/PnzU5e69w5eCMCo73V8ESIrAAAHg0lEQVSh/OdDACISli1bZiOebpLFCgRiFxYs5ZNmQv4WqRo1atQoljll3ieMQKJvJS2GHGP6zY0bN5o1a9YYhKGLOAX1taUyMox96W0j8l6/fn3DOMEkxZW4+pD3h4AF0dmjR49mxRzknziNhaV6VvK5rwRgPvRCXOsGVx5UIiSuEM2iQ6JDzSw89IjD4cOHpz7avHmzGTt2rJ3Jpg9EderUSX2HfKXbt2+bvXv3hmiZn6/kYl/6ncn/Y+ChU27btm3WRtHBIQZ/+uknu8xRzJKvjbSVCAtpAAw833//fUoARnkuCmVzvvaRcoAdzOTLK6X0YS4CkAkXP8XoCpO4Tz75xC5z408EYBz8l68AJK2EaPWOHTtMz549s7rw2bNnduWBKCGbY0pZogok11aiZFzL8j4lqK8tlY1R7SOVaOXKlbZfwaZsJS4+ZNLPZjHy2uvVq5e1vUH+idNYWKpnJZ/7SgDmQy/EtbksryUp7J2LfQ4bSedEFUgy79SpUyBNImcMVC7vMfACT1/Ix8b0JiDQ79y5Y3M7fdXpw8R82kKEiEnI4sWL7aaXoFIqH0YVgP8vS8BEaRG6pF/07ds3yH2mV69epmnTpm/lMwdeVIAvRBVIrglMvDdt2pTK7QzqawvQ9FBVRrGPaBpRWtJnSBUKKqX2IZtUSO8hOtu4ceNymxvkHy0BB3m7/M8lAPPjF+pqlsdYhmAXsCvkoxACz7YJhLw4lgxd+fzzz20uXPomEHIEmY1TGMRZuinVJpAo9tFelpwQfyz9fvzxx4Ec2WVKxIUcM7dRJPAij1+I6sPMW9NJszzKkvD69evtx/nW6dG8nNtCqgKbI0hHCFoWLLUPHa8wgyuTjJ07d9odiq5MnjzZ5u2mbwKJ+tz79Fm2usLYx7X0JV9++aX9O+hIHL7PMioRQFJN3EaRYthT1j3C2ph57eDBgw072A8ePGg/YhNIeX1tEuxzuY7l5dI5O0rpQ/pAxB+5tLSZyWBQCfKP2wQSl7EwyJ64fS4BWASPuOMiyD9xifKchUcuDcuaCBrEjRODhLWJQDBbRSSyNEPycuYxMHyf4xt4kcgp5KUq5TEwYe1j2ZecPvJVyGV0hZw//jx9+tQeX8BxG0SXbt26ZXOx/vrrLztzL/YxN7Qvqg85Pw1hi2/IAWTZlyV/lhFdnlxQnUV4NFO3CGpL5jPqLuS4Ip5dlubTS9x8SHvIyaSwuWPVqlV2MwDHChFlYKkXEcv5lBR3DAzL20RuEX0I3bKOgcn23BfTf1Htww58Sm5qekoF57Ox6YMyZ84cw5IpfB4+fGgnbGxaQ2i4XaZxtpFNc2wAYXczE2Qif6SbcK6cszlMX1ssG6P60LWLI8auXbtW5hmpcfIhxyjR5zOepZ/9x/PGc0dJ+lhYrGfF130kAH2RDKiH6B/Ch/whdjwRqneJyByqS0dFNMUVzm5C9LkQN2IwvaN2h19ypmD6QdDZdlMV2swo9mErm1Uyy6JFi6zw42wrIhJ//PGHPUYEEchgzS5aEp1LVaLYyIyUsw05NJcODtGBbel5oNhRXp3FtjOKfbTt6tWrtiNn1yHLSuklbj7MdijwmDFj7HvHhg8mGnzPFcQOfnQHQRMVLOsg6GzvdTH9F9W+bAd5Ox60nTPbWKb7+++/7dl/TGh4B1m9KEWJaiN+YcUAYY/AQAgi9DmsPL0E9bXFsjWqfbSLswDpHxHyTFQyS5x8SNS2rEIQw50d+r8wFhbrefFxHwlAHxRVhwiIgAiIgAiIgAgkiIAEYIKcpaaKgAiIgAiIgAiIgA8CEoA+KKoOERABERABERABEUgQAQnABDlLTRUBERABERABERABHwQkAH1QVB0iIAIiIAIiIAIikCACEoAJcpaaKgIiIAIiIAIiIAI+CEgA+qCoOkRABERABERABEQgQQQkABPkLDVVBERABERABERABHwQkAD0QVF1iIAIiIAIiIAIiECCCEgAJshZaqoIiIAIiIAIiIAI+CAgAeiDouoQAREQAREQAREQgQQRkABMkLPUVBEQAREQAREQARHwQUAC0AdF1SECIiACIiACIiACCSIgAZggZ6mpIiACIiACIiACIuCDgASgD4qqQwREQAREQAREQAQSREACMEHOUlNFQAREQAREQAREwAcBCUAfFFWHCIiACIiACIiACCSIgARggpylpoqACIiACIiACIiADwISgD4oqg4REAEREAEREAERSBABCcAEOUtNFQEREAEREAEREAEfBCQAfVBUHSIgAiIgAiIgAiKQIAISgAlylpoqAiIgAiIgAiIgAj4ISAD6oKg6REAEREAEREAERCBBBCQAE+QsNVUEREAEREAEREAEfBCQAPRBUXWIgAiIgAiIgAiIQIIISAAmyFlqqgiIgAiIgAiIgAj4ICAB6IOi6hABERABERABERCBBBGQAEyQs9RUERABERABERABEfBBQALQB0XVIQIiIAIiIAIiIAIJIiABmCBnqakiIAIiIAIiIAIi4IOABKAPiqpDBERABERABERABBJEQAIwQc5SU0VABERABERABETAB4H/AFv5+bhslwEoAAAAAElFTkSuQmCC\" width=\"640\">"
      ],
      "text/plain": [
       "<IPython.core.display.HTML object>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "text/plain": [
       "[<matplotlib.lines.Line2D at 0x2c61884d320>]"
      ]
     },
     "execution_count": 58,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "p_vals2 = [effective_p(richardson_vals1[i], richardson_vals1[i-1], richardson_vals1[i-2], 1/2.0) for i in range(2, len(richardson_vals1))]\n",
    "richardson_vals2 = [richardson_thickening(richardson_vals1[i], richardson_vals1[i-1],1/2,4) for i in range(2,len(richardson_vals1))]\n",
    "plt.figure()\n",
    "plt.plot(p_vals2)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 59,
   "metadata": {},
   "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": {
      "text/plain": [
       "[<matplotlib.lines.Line2D at 0x2c61897ecf8>]"
      ]
     },
     "execution_count": 59,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "p_vals3 = [effective_p(richardson_vals2[i], richardson_vals2[i-1], richardson_vals2[i-2], 1/2.0) for i in range(2, len(richardson_vals2))]\n",
    "richardson_vals3 = [richardson_thickening(richardson_vals2[i], richardson_vals2[i-1],1/2,6) for i in range(2,len(richardson_vals2))]\n",
    "plt.figure()\n",
    "plt.plot(p_vals3)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 60,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "39.602394042760196"
      ]
     },
     "execution_count": 60,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "richardson_vals3[0]"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": [
    "39.602394042760196"
   ]
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "Python 3",
   "language": "python",
   "name": "python3"
  },
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 3
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython3",
   "version": "3.6.4"
  },
  "varInspector": {
   "cols": {
    "lenName": 16,
    "lenType": 16,
    "lenVar": 40
   },
   "kernels_config": {
    "python": {
     "delete_cmd_postfix": "",
     "delete_cmd_prefix": "del ",
     "library": "var_list.py",
     "varRefreshCmd": "print(var_dic_list())"
    },
    "r": {
     "delete_cmd_postfix": ") ",
     "delete_cmd_prefix": "rm(",
     "library": "var_list.r",
     "varRefreshCmd": "cat(var_dic_list()) "
    }
   },
   "types_to_exclude": [
    "module",
    "function",
    "builtin_function_or_method",
    "instance",
    "_Feature"
   ],
   "window_display": false
  }
 },
 "nbformat": 4,
 "nbformat_minor": 2
}