elastic_wave_2d_staggered_isotropic_DX4_DT2_with_PML_VSP_v1.ipynb

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    "### Codigo para la propagación de onda elástica 2D PSV en un medio homogeneo mediante el esquema velocidad - esfuerzo y rejilla escalonada aplicado a un VSP zero offset (usado en tesis)\n",
    "En este Notebook se presenta un codigo para la propagación de onda elástica 2D PSV en un medio homogeneo mediante el esquema velocidad - esfuerzo y rejilla escalonada propuesto por Virieux (1986), como resultado se muestra en la figura 1 cuatro cuadros donde se muestra el avance de la onda P mediante la divergencia, la onda S mediante el rotor y las velocidades $v_x$ y $v_z$\n",
    "\n",
    "#### Sistema de ecuaciones de onda elástica 2D\n",
    "El sistema de ecuaciones para la propagación de la onda elástica en 2D en el esquema velocidad - esfuerzo donde el movimiento de la particula es en la dirección x (horizontal) y en la dirección z (vertical) son:\n",
    "\n",
    "$$\n",
    "\\frac{\\partial v_x}{\\partial t} = \\frac{1}{\\rho} \\left( \\frac{\\partial \\tau_{xx}}{\\partial x} + \\frac{\\partial \\tau_{xz}}{\\partial z} \\right)\n",
    "$$\n",
    "$$\n",
    "\\frac{\\partial v_z}{\\partial t} = \\frac{1}{\\rho} \\left( \\frac{\\partial \\tau_{xz}}{\\partial x} + \\frac{\\partial \\tau_{zz}}{\\partial z} \\right)\n",
    "$$\n",
    "$$\n",
    "\\frac{\\partial \\tau_{xx}}{\\partial t} = (\\lambda + 2\\mu)\\frac{\\partial v_x}{\\partial x} + \\lambda \\frac{\\partial v_z}{\\partial z}\n",
    "$$\n",
    "$$\n",
    "\\frac{\\partial \\tau_{zz}}{\\partial t} = (\\lambda + 2\\mu)\\frac{\\partial v_z}{\\partial z} + \\lambda \\frac{\\partial v_x}{\\partial x}\n",
    "$$\n",
    "$$\n",
    "\\frac{\\partial \\tau_{xz}}{\\partial t} = \\mu \\left( \\frac{\\partial v_x}{\\partial z} + \\frac{\\partial v_z}{\\partial x} \\right)\n",
    "$$\n",
    "\n",
    "donde $ \\rm {\\rho} $ es la densidad, $ \\rm {\\lambda}$ y $ \\rm {\\mu}$ son los parámetros de Lamé, $ \\rm{(v_x,\\; v_z)}$ es el vector de velocidad de partículas , $ \\rm {\\tau_{xx}} $, $ \\rm{\\tau_{zz}} $, $ \\rm{\\tau_{xz}}$ son los componentes del tensor esfuerzo\n",
    "\n",
    "#### Implementación númerica mediante el metodo de rejilla escalonada\n",
    "Para la solución numérica de las ecuaciones de movimiento elásticas hay que discretizarlas en el tiempo y el espacio en una cuadrícula. Las velocidades de las partículas $\\rm{\\mathbf{v}}$, los esfuerzos $\\rm{\\tau_{ij}}$, los parámetros de Lamé $\\rm{\\lambda}$ y $\\rm{\\mu}$ son calculado y definido en coordenadas cartesianas discretas $\\rm{x = i \\; dx}$, $\\rm{z = j \\; dz}$ y tiempos discretos $\\rm{t = n \\; dt}$. $\\rm{dx}$ y $\\rm{dz}$ denota la distancia espacial entre dos puntos de cuadrícula adyacentes en el eje x y eje z respectivamente y $\\rm{dt}$ es la diferencia entre dos pasos de tiempo sucesivos. Por lo tanto, cada punto de la cuadrícula se encuentra en el intervalo $\\rm{i\\ en N | [1, nx]}$, $\\rm {j\\ en N | [1, nz]}$ y $\\rm{n\\ en N | [1, nt]}$, donde $\\rm{nx}$, $\\rm{nz}$ y $\\rm{nt}$ son el número de puntos discretos de la cuadrícula espacial y el número de pasos de tiempo, respectivamente.\n",
    "\n",
    "Finalmente, las derivadas parciales se reemplazan por operadores **de diferencia finita (FD)**. Se pueden distinguir dos tipos de operadores, operadores hacia adelante y hacia atrás $ \\rm {D^+, \\; D^-}$. La derivada de una función f(x) con respecto a una variable x puede ser aproximada por los siguientes operadores de segundo orden:\n",
    "\n",
    "$$\\rm{D^+_x f = \\frac{f_{i+1}-f_{i}}{dx} \\hspace{1 cm} \\text{operador hacia adelante}} $$\n",
    "\n",
    "$$\\rm{D^-_x f = \\frac{f_i-f_{i-1}}{dx} \\hspace{1 cm} \\text{operador hacia atras}} $$\n",
    "\n",
    "Para calcular las derivadas espaciales de las variables de campo de onda en las posiciones correctas entre sí, las variables no se colocan en los mismos puntos de la cuadrícula, sino que se escalonan por la mitad de la distancia del punto de la cuadrícula espacial (Virieux 1986). La Figura 1 muestra la distribución de los parámetros del material y las variables del campo de onda en la cuadrícula espacial.\n",
    "\n",
    "![Staggered grid](./Staggered_grid.png)\n",
    "\n",
    "En el siguiente paso, discretizamos las ecuaciones de movimiento para el problema 2D PSV utilizando un enfoque de diferencia finita escalonada. Primero, discretizamos la componente x de la ecuación de momento aproximando las derivadas espaciales\n",
    "\n",
    "$$\\rm{\\frac{\\partial \\tau_{xx}}{\\partial x} \\approx \\frac{\\tau_{xx}(j,i+1) - \\tau_{xx}(j,i)}{dx}}, \\rm{\\frac{\\partial \\tau_{xz}}{\\partial z} \\approx \\frac{\\tau_{xz}(j+1/2, i) - \\tau_{xz}(j-1/2,i)}{dz}} $$\n",
    "\n",
    "Y la derivada temporal viene dada por\n",
    "\n",
    "$$\\rho \\rm{\\frac{\\partial v_x}{\\partial t} \\approx \\rho_x(j,i+1/2) \\frac{v_x^{n+1/2}(j,i+1/2) - v_x^{n-1/2}(j,i+1/2)}{dt}} $$\n",
    "\n",
    "Insertandola en la ecuación diferencial parcial\n",
    "\n",
    "$$\\rm{\\rho \\frac{\\partial v_x}{\\partial t} = \\frac{\\partial \\tau_{xx}}{\\partial x} + \\frac{\\partial \\tau_{xz}}{\\partial z}} $$\n",
    "\n",
    "lleva a\n",
    "\n",
    "$$\\rho_x(j,i+1/2) \\frac{v_x^{n+1/2}(j,i+1/2) - v_x^{n-1/2}(j,i+1/2)}{dt} = \\frac{\\tau_{xx}^n(j,i+1) - \\tau_{xx}^n(j,i)}{dx} + \\frac{\\tau_{xz}^n(j+1/2, i) - \\tau_{xz}^n(j-1/2,i)}{dz} $$\n",
    "\n",
    "Despues  reordenando  para $v_x^{n+1/2}(j,i+1/2)$ se obtiene el siguiente esquema de FD explicito para el componente  x del la ecuación de  momentum:\n",
    "\n",
    "$$\\rm{v_x^{n+1/2}(j,i+1/2) = v_x^{n-1/2}(j,i+1/2) + \\frac{dt}{\\rho_x(j,i+1/2)}\\cdot \\biggl(\\frac{\\tau^n_{xx}(j,i+1) - \\tau^n_{xx}(j,i)}{dx} + \\frac{\\tau^n_{xz}(j+1/2, i) - \\tau^n_{xz}(j-1/2,i)}{dz} \\biggr)} $$\n",
    "\n",
    "Usando un enfoque similar, podemos derivar el esquema FD para la componente y de la ecuación de momento ...\n",
    "\n",
    "$$\\rm{v_z^{n+1/2}(j,i+1/2) = v_z^{n-1/2}(j,i+1/2) + \\frac{dt}{\\rho_z(j+1/2,i)}\\cdot \\biggl(\\frac{\\tau^n_{xz}(j, i+1/2) - \\tau^n_{xz}(j,i-1/2)}{dx} + \\frac{\\tau^n_{zz}(j+1,i) - \\tau^n_{zz}(j,i)}{dz} \\biggr)} $$\n",
    "\n",
    "... y los esfuerzos ...\n",
    "\n",
    "$$\n",
    "\\begin{split}   \n",
    "\\rm{\\tau^{n+1}_{xx}(j,i)}\\;&\\rm{= \\tau_{xx}^{n}(j,i) + dt\\cdot\\lambda(j,i)\\cdot \\biggl(v^{n+1/2}_{xx}(j,i) + v^{n+1/2}_{zz}(j,i) \\biggr) + 2 dt\\cdot  \\mu(j,i) \\cdot  v^{n+1/2}_{xx}(j,i)}\\\\ \n",
    "\\rm{\\tau^{n+1}_{zz}(j,i)}\\;&\\rm{= \\tau_{zz}^{n}(j,i) + dt\\cdot\\lambda(j,i)\\cdot \\biggl(v^{n+1/2}_{xx}(j,i) + v^{n+1/2}_{zz}(j,i) \\biggr) + 2 dt\\cdot  \\mu(j,i) \\cdot  v^{n+1/2}_{zz}(j,i)}\\\\ \n",
    "\\rm{\\tau^{n+1}_{xz}(j+1/2,i+1/2)}\\;&\\rm{=\\tau^{n}_{xz}(j+1/2,i+1/2) + dt\\cdot\\mu_{xz}(j+1/2,i+1/2)\\biggl(v^{n+1/2}_{xz}(j+1/2,i+1/2) + v^{n+1/2}_{zx}(j+1/2,i+1/2)\\biggr)}\\\\\n",
    "\\end{split}\n",
    "$$\n",
    "\n",
    "con las derivadas espaciales\n",
    "\n",
    "$$\n",
    "\\begin{split}  \n",
    "\\rm{v_{xx}(j,i)}\\; & \\rm{= \\frac{v_x(j,i+1/2)-v_x(j,i-1/2)}{dx}}\\\\ \n",
    "\\rm{v_{zz}(j,i)}\\; & \\rm{= \\frac{v_z(j+1/2,i)-v_z(j-1/2,i)}{dz}}\\\\ \n",
    "\\rm{v_{zx}(j+1/2,i+1/2)}\\; & \\rm{= \\frac{v_z(j+1/2, i+1)-v_z(j+1/2, i)}{dx}}\\\\ \n",
    "\\rm{v_{xz}(j+1/2,i+1/2)}\\; & \\rm{= \\frac{v_x(j+1,i+1/2)-v_x(j, i+1/2)}{dz}}\\\\\n",
    "\\end{split}\n",
    "$$\n",
    "\n",
    "#### Termino o función fuente\n",
    "\n",
    "En este codigo se uso como función fuente se uso una ondicula  cuya ecuación es:\n",
    "\n",
    "$$\n",
    "s= exp\\left(-f_0^2*((t-t_0)*dt)^2\\right)\n",
    "$$\n",
    "\n",
    "donde $f_0$ es la frecuencia dominante y $t_0$ es el retraso en tiempo"
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    "# Import Libraries \n",
    "# ----------------------------------------------\n",
    "%matplotlib notebook\n",
    "import numpy as np\n",
    "import numpy.matlib as npmat\n",
    "import matplotlib.pyplot as plt"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 37,
   "metadata": {},
   "outputs": [],
   "source": [
    "def d(comp,inpu,dire):\n",
    "    if(comp=='x'): idim = 0\n",
    "    elif(comp=='z'): idim = 1\n",
    "    \n",
    "    if(dire == '+'):\n",
    "        return (9/8*(np.roll(inpu, -1, axis = idim)-inpu)\n",
    "                -1/24*(np.roll(inpu, -2, axis = idim)-np.roll(inpu, 1, axis = idim)))/dx\n",
    "    elif(dire == '-'):\n",
    "        return (9/8*(inpu - np.roll(inpu, 1, axis = idim))\n",
    "                -1/24*(np.roll(inpu, -1, axis = idim)-np.roll(inpu, 2, axis = idim)))/dx"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 38,
   "metadata": {},
   "outputs": [],
   "source": [
    "# Input Parameter\n",
    "# ----------------------------------------------\n",
    "\n",
    "# Discretization\n",
    "c1=20           # Number of grid points per dominant wavelength\n",
    "c2=0.6          # CFL-Number for 2D CFL< 0.606\n",
    "nx=34          # number of grid points in x-direction\n",
    "nz=1058          # number of grid points in z-direction\n",
    "T=0.43\n",
    "idisp = 10 # display frequency\n",
    "\n",
    "# The grid number of pml\n",
    "pml = 50                              \n",
    "m = nx + 2*pml\n",
    "n = nz + 2*pml\n",
    " \n",
    "# Source Signal\n",
    "f0= 50      # Center frequency Ricker-wavelet\n",
    "q0= 1      # Maximum amplitude Ricker-Wavelet\n",
    "t0= 1.5/f0\n",
    "xscr = pml+33;  zscr = pml#pml+6 # Source position (in grid points)\n",
    "\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 39,
   "metadata": {},
   "outputs": [],
   "source": [
    "# Velocity and density\n",
    "Vpp = np.loadtxt('Vp_ILM13.txt') # P-wave velocity in m/s\n",
    "Vpp=Vpp.transpose()\n",
    "Vss = np.loadtxt('Vs_ILM13.txt') # S-wave velocity in m/s\n",
    "Vss=Vss.transpose()\n",
    "den= np.loadtxt('rhob_ILM13.txt') # Density in Kg/m^3\n",
    "den=den.transpose()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 40,
   "metadata": {},
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       "        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 / mpl.ratio, fig.canvas.height / mpl.ratio);\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\", \"jpeg\", \"pdf\", \"png\", \"ps\", \"raw\", \"svg\", \"tif\"];\n",
       "\n",
       "mpl.default_extension = \"png\";var comm_websocket_adapter = function(comm) {\n",
       "    // Create a \"websocket\"-like object which calls the given IPython comm\n",
       "    // object with the appropriate methods. Currently this is a non binary\n",
       "    // socket, so there is still some room for performance tuning.\n",
       "    var ws = {};\n",
       "\n",
       "    ws.close = function() {\n",
       "        comm.close()\n",
       "    };\n",
       "    ws.send = function(m) {\n",
       "        //console.log('sending', m);\n",
       "        comm.send(m);\n",
       "    };\n",
       "    // Register the callback with on_msg.\n",
       "    comm.on_msg(function(msg) {\n",
       "        //console.log('receiving', msg['content']['data'], msg);\n",
       "        // Pass the mpl event to the 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": {
      "text/html": [
       "<div id='1bfc2f97-9917-4856-9376-093a7ebc67ab'></div>"
      ],
      "text/plain": [
       "<IPython.core.display.HTML object>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "application/javascript": [
       "/* Put everything inside the global mpl namespace */\n",
       "window.mpl = {};\n",
       "\n",
       "\n",
       "mpl.get_websocket_type = function() {\n",
       "    if (typeof(WebSocket) !== 'undefined') {\n",
       "        return WebSocket;\n",
       "    } else if (typeof(MozWebSocket) !== 'undefined') {\n",
       "        return MozWebSocket;\n",
       "    } else {\n",
       "        alert('Your browser does not have WebSocket support. ' +\n",
       "              'Please try Chrome, Safari or Firefox ≥ 6. ' +\n",
       "              'Firefox 4 and 5 are also supported but you ' +\n",
       "              'have to enable WebSockets in about:config.');\n",
       "    };\n",
       "}\n",
       "\n",
       "mpl.figure = function(figure_id, websocket, ondownload, parent_element) {\n",
       "    this.id = figure_id;\n",
       "\n",
       "    this.ws = websocket;\n",
       "\n",
       "    this.supports_binary = (this.ws.binaryType != undefined);\n",
       "\n",
       "    if (!this.supports_binary) {\n",
       "        var warnings = document.getElementById(\"mpl-warnings\");\n",
       "        if (warnings) {\n",
       "            warnings.style.display = 'block';\n",
       "            warnings.textContent = (\n",
       "                \"This browser does not support binary websocket messages. \" +\n",
       "                    \"Performance may be slow.\");\n",
       "        }\n",
       "    }\n",
       "\n",
       "    this.imageObj = new Image();\n",
       "\n",
       "    this.context = undefined;\n",
       "    this.message = undefined;\n",
       "    this.canvas = undefined;\n",
       "    this.rubberband_canvas = undefined;\n",
       "    this.rubberband_context = undefined;\n",
       "    this.format_dropdown = undefined;\n",
       "\n",
       "    this.image_mode = 'full';\n",
       "\n",
       "    this.root = $('<div/>');\n",
       "    this._root_extra_style(this.root)\n",
       "    this.root.attr('style', 'display: inline-block');\n",
       "\n",
       "    $(parent_element).append(this.root);\n",
       "\n",
       "    this._init_header(this);\n",
       "    this._init_canvas(this);\n",
       "    this._init_toolbar(this);\n",
       "\n",
       "    var fig = this;\n",
       "\n",
       "    this.waiting = false;\n",
       "\n",
       "    this.ws.onopen =  function () {\n",
       "            fig.send_message(\"supports_binary\", {value: fig.supports_binary});\n",
       "            fig.send_message(\"send_image_mode\", {});\n",
       "            if (mpl.ratio != 1) {\n",
       "                fig.send_message(\"set_dpi_ratio\", {'dpi_ratio': mpl.ratio});\n",
       "            }\n",
       "            fig.send_message(\"refresh\", {});\n",
       "        }\n",
       "\n",
       "    this.imageObj.onload = function() {\n",
       "            if (fig.image_mode == 'full') {\n",
       "                // Full images could contain transparency (where diff images\n",
       "                // almost always do), so we need to clear the canvas so that\n",
       "                // there is no ghosting.\n",
       "                fig.context.clearRect(0, 0, fig.canvas.width, fig.canvas.height);\n",
       "            }\n",
       "            fig.context.drawImage(fig.imageObj, 0, 0);\n",
       "        };\n",
       "\n",
       "    this.imageObj.onunload = function() {\n",
       "        fig.ws.close();\n",
       "    }\n",
       "\n",
       "    this.ws.onmessage = this._make_on_message_function(this);\n",
       "\n",
       "    this.ondownload = ondownload;\n",
       "}\n",
       "\n",
       "mpl.figure.prototype._init_header = function() {\n",
       "    var titlebar = $(\n",
       "        '<div class=\"ui-dialog-titlebar ui-widget-header ui-corner-all ' +\n",
       "        'ui-helper-clearfix\"/>');\n",
       "    var titletext = $(\n",
       "        '<div class=\"ui-dialog-title\" style=\"width: 100%; ' +\n",
       "        'text-align: center; padding: 3px;\"/>');\n",
       "    titlebar.append(titletext)\n",
       "    this.root.append(titlebar);\n",
       "    this.header = titletext[0];\n",
       "}\n",
       "\n",
       "\n",
       "\n",
       "mpl.figure.prototype._canvas_extra_style = function(canvas_div) {\n",
       "\n",
       "}\n",
       "\n",
       "\n",
       "mpl.figure.prototype._root_extra_style = function(canvas_div) {\n",
       "\n",
       "}\n",
       "\n",
       "mpl.figure.prototype._init_canvas = function() {\n",
       "    var fig = this;\n",
       "\n",
       "    var canvas_div = $('<div/>');\n",
       "\n",
       "    canvas_div.attr('style', 'position: relative; clear: both; outline: 0');\n",
       "\n",
       "    function canvas_keyboard_event(event) {\n",
       "        return fig.key_event(event, event['data']);\n",
       "    }\n",
       "\n",
       "    canvas_div.keydown('key_press', canvas_keyboard_event);\n",
       "    canvas_div.keyup('key_release', canvas_keyboard_event);\n",
       "    this.canvas_div = canvas_div\n",
       "    this._canvas_extra_style(canvas_div)\n",
       "    this.root.append(canvas_div);\n",
       "\n",
       "    var canvas = $('<canvas/>');\n",
       "    canvas.addClass('mpl-canvas');\n",
       "    canvas.attr('style', \"left: 0; top: 0; z-index: 0; outline: 0\")\n",
       "\n",
       "    this.canvas = canvas[0];\n",
       "    this.context = canvas[0].getContext(\"2d\");\n",
       "\n",
       "    var backingStore = this.context.backingStorePixelRatio ||\n",
       "\tthis.context.webkitBackingStorePixelRatio ||\n",
       "\tthis.context.mozBackingStorePixelRatio ||\n",
       "\tthis.context.msBackingStorePixelRatio ||\n",
       "\tthis.context.oBackingStorePixelRatio ||\n",
       "\tthis.context.backingStorePixelRatio || 1;\n",
       "\n",
       "    mpl.ratio = (window.devicePixelRatio || 1) / backingStore;\n",
       "\n",
       "    var rubberband = $('<canvas/>');\n",
       "    rubberband.attr('style', \"position: absolute; left: 0; top: 0; z-index: 1;\")\n",
       "\n",
       "    var pass_mouse_events = true;\n",
       "\n",
       "    canvas_div.resizable({\n",
       "        start: function(event, ui) {\n",
       "            pass_mouse_events = false;\n",
       "        },\n",
       "        resize: function(event, ui) {\n",
       "            fig.request_resize(ui.size.width, ui.size.height);\n",
       "        },\n",
       "        stop: function(event, ui) {\n",
       "            pass_mouse_events = true;\n",
       "            fig.request_resize(ui.size.width, ui.size.height);\n",
       "        },\n",
       "    });\n",
       "\n",
       "    function mouse_event_fn(event) {\n",
       "        if (pass_mouse_events)\n",
       "            return fig.mouse_event(event, event['data']);\n",
       "    }\n",
       "\n",
       "    rubberband.mousedown('button_press', mouse_event_fn);\n",
       "    rubberband.mouseup('button_release', mouse_event_fn);\n",
       "    // Throttle sequential mouse events to 1 every 20ms.\n",
       "    rubberband.mousemove('motion_notify', mouse_event_fn);\n",
       "\n",
       "    rubberband.mouseenter('figure_enter', mouse_event_fn);\n",
       "    rubberband.mouseleave('figure_leave', mouse_event_fn);\n",
       "\n",
       "    canvas_div.on(\"wheel\", function (event) {\n",
       "        event = event.originalEvent;\n",
       "        event['data'] = 'scroll'\n",
       "        if (event.deltaY < 0) {\n",
       "            event.step = 1;\n",
       "        } else {\n",
       "            event.step = -1;\n",
       "        }\n",
       "        mouse_event_fn(event);\n",
       "    });\n",
       "\n",
       "    canvas_div.append(canvas);\n",
       "    canvas_div.append(rubberband);\n",
       "\n",
       "    this.rubberband = rubberband;\n",
       "    this.rubberband_canvas = rubberband[0];\n",
       "    this.rubberband_context = rubberband[0].getContext(\"2d\");\n",
       "    this.rubberband_context.strokeStyle = \"#000000\";\n",
       "\n",
       "    this._resize_canvas = function(width, height) {\n",
       "        // Keep the size of the canvas, canvas container, and rubber band\n",
       "        // canvas in synch.\n",
       "        canvas_div.css('width', width)\n",
       "        canvas_div.css('height', height)\n",
       "\n",
       "        canvas.attr('width', width * mpl.ratio);\n",
       "        canvas.attr('height', height * mpl.ratio);\n",
       "        canvas.attr('style', 'width: ' + width + 'px; height: ' + height + 'px;');\n",
       "\n",
       "        rubberband.attr('width', width);\n",
       "        rubberband.attr('height', height);\n",
       "    }\n",
       "\n",
       "    // Set the figure to an initial 600x600px, this will subsequently be updated\n",
       "    // upon first draw.\n",
       "    this._resize_canvas(600, 600);\n",
       "\n",
       "    // Disable right mouse context menu.\n",
       "    $(this.rubberband_canvas).bind(\"contextmenu\",function(e){\n",
       "        return false;\n",
       "    });\n",
       "\n",
       "    function set_focus () {\n",
       "        canvas.focus();\n",
       "        canvas_div.focus();\n",
       "    }\n",
       "\n",
       "    window.setTimeout(set_focus, 100);\n",
       "}\n",
       "\n",
       "mpl.figure.prototype._init_toolbar = function() {\n",
       "    var fig = this;\n",
       "\n",
       "    var nav_element = $('<div/>');\n",
       "    nav_element.attr('style', 'width: 100%');\n",
       "    this.root.append(nav_element);\n",
       "\n",
       "    // Define a callback function for later on.\n",
       "    function toolbar_event(event) {\n",
       "        return fig.toolbar_button_onclick(event['data']);\n",
       "    }\n",
       "    function toolbar_mouse_event(event) {\n",
       "        return fig.toolbar_button_onmouseover(event['data']);\n",
       "    }\n",
       "\n",
       "    for(var toolbar_ind in mpl.toolbar_items) {\n",
       "        var name = mpl.toolbar_items[toolbar_ind][0];\n",
       "        var tooltip = mpl.toolbar_items[toolbar_ind][1];\n",
       "        var image = mpl.toolbar_items[toolbar_ind][2];\n",
       "        var method_name = mpl.toolbar_items[toolbar_ind][3];\n",
       "\n",
       "        if (!name) {\n",
       "            // put a spacer in here.\n",
       "            continue;\n",
       "        }\n",
       "        var button = $('<button/>');\n",
       "        button.addClass('ui-button ui-widget ui-state-default ui-corner-all ' +\n",
       "                        'ui-button-icon-only');\n",
       "        button.attr('role', 'button');\n",
       "        button.attr('aria-disabled', 'false');\n",
       "        button.click(method_name, toolbar_event);\n",
       "        button.mouseover(tooltip, toolbar_mouse_event);\n",
       "\n",
       "        var icon_img = $('<span/>');\n",
       "        icon_img.addClass('ui-button-icon-primary ui-icon');\n",
       "        icon_img.addClass(image);\n",
       "        icon_img.addClass('ui-corner-all');\n",
       "\n",
       "        var tooltip_span = $('<span/>');\n",
       "        tooltip_span.addClass('ui-button-text');\n",
       "        tooltip_span.html(tooltip);\n",
       "\n",
       "        button.append(icon_img);\n",
       "        button.append(tooltip_span);\n",
       "\n",
       "        nav_element.append(button);\n",
       "    }\n",
       "\n",
       "    var fmt_picker_span = $('<span/>');\n",
       "\n",
       "    var fmt_picker = $('<select/>');\n",
       "    fmt_picker.addClass('mpl-toolbar-option ui-widget ui-widget-content');\n",
       "    fmt_picker_span.append(fmt_picker);\n",
       "    nav_element.append(fmt_picker_span);\n",
       "    this.format_dropdown = fmt_picker[0];\n",
       "\n",
       "    for (var ind in mpl.extensions) {\n",
       "        var fmt = mpl.extensions[ind];\n",
       "        var option = $(\n",
       "            '<option/>', {selected: fmt === mpl.default_extension}).html(fmt);\n",
       "        fmt_picker.append(option);\n",
       "    }\n",
       "\n",
       "    // Add hover states to the ui-buttons\n",
       "    $( \".ui-button\" ).hover(\n",
       "        function() { $(this).addClass(\"ui-state-hover\");},\n",
       "        function() { $(this).removeClass(\"ui-state-hover\");}\n",
       "    );\n",
       "\n",
       "    var status_bar = $('<span class=\"mpl-message\"/>');\n",
       "    nav_element.append(status_bar);\n",
       "    this.message = status_bar[0];\n",
       "}\n",
       "\n",
       "mpl.figure.prototype.request_resize = function(x_pixels, y_pixels) {\n",
       "    // Request matplotlib to resize the figure. Matplotlib will then trigger a resize in the client,\n",
       "    // which will in turn request a refresh of the image.\n",
       "    this.send_message('resize', {'width': x_pixels, 'height': y_pixels});\n",
       "}\n",
       "\n",
       "mpl.figure.prototype.send_message = function(type, properties) {\n",
       "    properties['type'] = type;\n",
       "    properties['figure_id'] = this.id;\n",
       "    this.ws.send(JSON.stringify(properties));\n",
       "}\n",
       "\n",
       "mpl.figure.prototype.send_draw_message = function() {\n",
       "    if (!this.waiting) {\n",
       "        this.waiting = true;\n",
       "        this.ws.send(JSON.stringify({type: \"draw\", figure_id: this.id}));\n",
       "    }\n",
       "}\n",
       "\n",
       "\n",
       "mpl.figure.prototype.handle_save = function(fig, msg) {\n",
       "    var format_dropdown = fig.format_dropdown;\n",
       "    var format = format_dropdown.options[format_dropdown.selectedIndex].value;\n",
       "    fig.ondownload(fig, format);\n",
       "}\n",
       "\n",
       "\n",
       "mpl.figure.prototype.handle_resize = function(fig, msg) {\n",
       "    var size = msg['size'];\n",
       "    if (size[0] != fig.canvas.width || size[1] != fig.canvas.height) {\n",
       "        fig._resize_canvas(size[0], size[1]);\n",
       "        fig.send_message(\"refresh\", {});\n",
       "    };\n",
       "}\n",
       "\n",
       "mpl.figure.prototype.handle_rubberband = function(fig, msg) {\n",
       "    var x0 = msg['x0'] / mpl.ratio;\n",
       "    var y0 = (fig.canvas.height - msg['y0']) / mpl.ratio;\n",
       "    var x1 = msg['x1'] / mpl.ratio;\n",
       "    var y1 = (fig.canvas.height - msg['y1']) / mpl.ratio;\n",
       "    x0 = Math.floor(x0) + 0.5;\n",
       "    y0 = Math.floor(y0) + 0.5;\n",
       "    x1 = Math.floor(x1) + 0.5;\n",
       "    y1 = Math.floor(y1) + 0.5;\n",
       "    var min_x = Math.min(x0, x1);\n",
       "    var min_y = Math.min(y0, y1);\n",
       "    var width = Math.abs(x1 - x0);\n",
       "    var height = Math.abs(y1 - y0);\n",
       "\n",
       "    fig.rubberband_context.clearRect(\n",
       "        0, 0, fig.canvas.width / mpl.ratio, fig.canvas.height / mpl.ratio);\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\", \"jpeg\", \"pdf\", \"png\", \"ps\", \"raw\", \"svg\", \"tif\"];\n",
       "\n",
       "mpl.default_extension = \"png\";var comm_websocket_adapter = function(comm) {\n",
       "    // Create a \"websocket\"-like object which calls the given IPython comm\n",
       "    // object with the appropriate methods. Currently this is a non binary\n",
       "    // socket, so there is still some room for performance tuning.\n",
       "    var ws = {};\n",
       "\n",
       "    ws.close = function() {\n",
       "        comm.close()\n",
       "    };\n",
       "    ws.send = function(m) {\n",
       "        //console.log('sending', m);\n",
       "        comm.send(m);\n",
       "    };\n",
       "    // Register the callback with on_msg.\n",
       "    comm.on_msg(function(msg) {\n",
       "        //console.log('receiving', msg['content']['data'], msg);\n",
       "        // Pass the mpl event to the 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": {
      "text/html": [
       "<div id='c5fa548c-b6b6-4c6b-b75e-b418c1285809'></div>"
      ],
      "text/plain": [
       "<IPython.core.display.HTML object>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "application/javascript": [
       "/* Put everything inside the global mpl namespace */\n",
       "window.mpl = {};\n",
       "\n",
       "\n",
       "mpl.get_websocket_type = function() {\n",
       "    if (typeof(WebSocket) !== 'undefined') {\n",
       "        return WebSocket;\n",
       "    } else if (typeof(MozWebSocket) !== 'undefined') {\n",
       "        return MozWebSocket;\n",
       "    } else {\n",
       "        alert('Your browser does not have WebSocket support. ' +\n",
       "              'Please try Chrome, Safari or Firefox ≥ 6. ' +\n",
       "              'Firefox 4 and 5 are also supported but you ' +\n",
       "              'have to enable WebSockets in about:config.');\n",
       "    };\n",
       "}\n",
       "\n",
       "mpl.figure = function(figure_id, websocket, ondownload, parent_element) {\n",
       "    this.id = figure_id;\n",
       "\n",
       "    this.ws = websocket;\n",
       "\n",
       "    this.supports_binary = (this.ws.binaryType != undefined);\n",
       "\n",
       "    if (!this.supports_binary) {\n",
       "        var warnings = document.getElementById(\"mpl-warnings\");\n",
       "        if (warnings) {\n",
       "            warnings.style.display = 'block';\n",
       "            warnings.textContent = (\n",
       "                \"This browser does not support binary websocket messages. \" +\n",
       "                    \"Performance may be slow.\");\n",
       "        }\n",
       "    }\n",
       "\n",
       "    this.imageObj = new Image();\n",
       "\n",
       "    this.context = undefined;\n",
       "    this.message = undefined;\n",
       "    this.canvas = undefined;\n",
       "    this.rubberband_canvas = undefined;\n",
       "    this.rubberband_context = undefined;\n",
       "    this.format_dropdown = undefined;\n",
       "\n",
       "    this.image_mode = 'full';\n",
       "\n",
       "    this.root = $('<div/>');\n",
       "    this._root_extra_style(this.root)\n",
       "    this.root.attr('style', 'display: inline-block');\n",
       "\n",
       "    $(parent_element).append(this.root);\n",
       "\n",
       "    this._init_header(this);\n",
       "    this._init_canvas(this);\n",
       "    this._init_toolbar(this);\n",
       "\n",
       "    var fig = this;\n",
       "\n",
       "    this.waiting = false;\n",
       "\n",
       "    this.ws.onopen =  function () {\n",
       "            fig.send_message(\"supports_binary\", {value: fig.supports_binary});\n",
       "            fig.send_message(\"send_image_mode\", {});\n",
       "            if (mpl.ratio != 1) {\n",
       "                fig.send_message(\"set_dpi_ratio\", {'dpi_ratio': mpl.ratio});\n",
       "            }\n",
       "            fig.send_message(\"refresh\", {});\n",
       "        }\n",
       "\n",
       "    this.imageObj.onload = function() {\n",
       "            if (fig.image_mode == 'full') {\n",
       "                // Full images could contain transparency (where diff images\n",
       "                // almost always do), so we need to clear the canvas so that\n",
       "                // there is no ghosting.\n",
       "                fig.context.clearRect(0, 0, fig.canvas.width, fig.canvas.height);\n",
       "            }\n",
       "            fig.context.drawImage(fig.imageObj, 0, 0);\n",
       "        };\n",
       "\n",
       "    this.imageObj.onunload = function() {\n",
       "        fig.ws.close();\n",
       "    }\n",
       "\n",
       "    this.ws.onmessage = this._make_on_message_function(this);\n",
       "\n",
       "    this.ondownload = ondownload;\n",
       "}\n",
       "\n",
       "mpl.figure.prototype._init_header = function() {\n",
       "    var titlebar = $(\n",
       "        '<div class=\"ui-dialog-titlebar ui-widget-header ui-corner-all ' +\n",
       "        'ui-helper-clearfix\"/>');\n",
       "    var titletext = $(\n",
       "        '<div class=\"ui-dialog-title\" style=\"width: 100%; ' +\n",
       "        'text-align: center; padding: 3px;\"/>');\n",
       "    titlebar.append(titletext)\n",
       "    this.root.append(titlebar);\n",
       "    this.header = titletext[0];\n",
       "}\n",
       "\n",
       "\n",
       "\n",
       "mpl.figure.prototype._canvas_extra_style = function(canvas_div) {\n",
       "\n",
       "}\n",
       "\n",
       "\n",
       "mpl.figure.prototype._root_extra_style = function(canvas_div) {\n",
       "\n",
       "}\n",
       "\n",
       "mpl.figure.prototype._init_canvas = function() {\n",
       "    var fig = this;\n",
       "\n",
       "    var canvas_div = $('<div/>');\n",
       "\n",
       "    canvas_div.attr('style', 'position: relative; clear: both; outline: 0');\n",
       "\n",
       "    function canvas_keyboard_event(event) {\n",
       "        return fig.key_event(event, event['data']);\n",
       "    }\n",
       "\n",
       "    canvas_div.keydown('key_press', canvas_keyboard_event);\n",
       "    canvas_div.keyup('key_release', canvas_keyboard_event);\n",
       "    this.canvas_div = canvas_div\n",
       "    this._canvas_extra_style(canvas_div)\n",
       "    this.root.append(canvas_div);\n",
       "\n",
       "    var canvas = $('<canvas/>');\n",
       "    canvas.addClass('mpl-canvas');\n",
       "    canvas.attr('style', \"left: 0; top: 0; z-index: 0; outline: 0\")\n",
       "\n",
       "    this.canvas = canvas[0];\n",
       "    this.context = canvas[0].getContext(\"2d\");\n",
       "\n",
       "    var backingStore = this.context.backingStorePixelRatio ||\n",
       "\tthis.context.webkitBackingStorePixelRatio ||\n",
       "\tthis.context.mozBackingStorePixelRatio ||\n",
       "\tthis.context.msBackingStorePixelRatio ||\n",
       "\tthis.context.oBackingStorePixelRatio ||\n",
       "\tthis.context.backingStorePixelRatio || 1;\n",
       "\n",
       "    mpl.ratio = (window.devicePixelRatio || 1) / backingStore;\n",
       "\n",
       "    var rubberband = $('<canvas/>');\n",
       "    rubberband.attr('style', \"position: absolute; left: 0; top: 0; z-index: 1;\")\n",
       "\n",
       "    var pass_mouse_events = true;\n",
       "\n",
       "    canvas_div.resizable({\n",
       "        start: function(event, ui) {\n",
       "            pass_mouse_events = false;\n",
       "        },\n",
       "        resize: function(event, ui) {\n",
       "            fig.request_resize(ui.size.width, ui.size.height);\n",
       "        },\n",
       "        stop: function(event, ui) {\n",
       "            pass_mouse_events = true;\n",
       "            fig.request_resize(ui.size.width, ui.size.height);\n",
       "        },\n",
       "    });\n",
       "\n",
       "    function mouse_event_fn(event) {\n",
       "        if (pass_mouse_events)\n",
       "            return fig.mouse_event(event, event['data']);\n",
       "    }\n",
       "\n",
       "    rubberband.mousedown('button_press', mouse_event_fn);\n",
       "    rubberband.mouseup('button_release', mouse_event_fn);\n",
       "    // Throttle sequential mouse events to 1 every 20ms.\n",
       "    rubberband.mousemove('motion_notify', mouse_event_fn);\n",
       "\n",
       "    rubberband.mouseenter('figure_enter', mouse_event_fn);\n",
       "    rubberband.mouseleave('figure_leave', mouse_event_fn);\n",
       "\n",
       "    canvas_div.on(\"wheel\", function (event) {\n",
       "        event = event.originalEvent;\n",
       "        event['data'] = 'scroll'\n",
       "        if (event.deltaY < 0) {\n",
       "            event.step = 1;\n",
       "        } else {\n",
       "            event.step = -1;\n",
       "        }\n",
       "        mouse_event_fn(event);\n",
       "    });\n",
       "\n",
       "    canvas_div.append(canvas);\n",
       "    canvas_div.append(rubberband);\n",
       "\n",
       "    this.rubberband = rubberband;\n",
       "    this.rubberband_canvas = rubberband[0];\n",
       "    this.rubberband_context = rubberband[0].getContext(\"2d\");\n",
       "    this.rubberband_context.strokeStyle = \"#000000\";\n",
       "\n",
       "    this._resize_canvas = function(width, height) {\n",
       "        // Keep the size of the canvas, canvas container, and rubber band\n",
       "        // canvas in synch.\n",
       "        canvas_div.css('width', width)\n",
       "        canvas_div.css('height', height)\n",
       "\n",
       "        canvas.attr('width', width * mpl.ratio);\n",
       "        canvas.attr('height', height * mpl.ratio);\n",
       "        canvas.attr('style', 'width: ' + width + 'px; height: ' + height + 'px;');\n",
       "\n",
       "        rubberband.attr('width', width);\n",
       "        rubberband.attr('height', height);\n",
       "    }\n",
       "\n",
       "    // Set the figure to an initial 600x600px, this will subsequently be updated\n",
       "    // upon first draw.\n",
       "    this._resize_canvas(600, 600);\n",
       "\n",
       "    // Disable right mouse context menu.\n",
       "    $(this.rubberband_canvas).bind(\"contextmenu\",function(e){\n",
       "        return false;\n",
       "    });\n",
       "\n",
       "    function set_focus () {\n",
       "        canvas.focus();\n",
       "        canvas_div.focus();\n",
       "    }\n",
       "\n",
       "    window.setTimeout(set_focus, 100);\n",
       "}\n",
       "\n",
       "mpl.figure.prototype._init_toolbar = function() {\n",
       "    var fig = this;\n",
       "\n",
       "    var nav_element = $('<div/>');\n",
       "    nav_element.attr('style', 'width: 100%');\n",
       "    this.root.append(nav_element);\n",
       "\n",
       "    // Define a callback function for later on.\n",
       "    function toolbar_event(event) {\n",
       "        return fig.toolbar_button_onclick(event['data']);\n",
       "    }\n",
       "    function toolbar_mouse_event(event) {\n",
       "        return fig.toolbar_button_onmouseover(event['data']);\n",
       "    }\n",
       "\n",
       "    for(var toolbar_ind in mpl.toolbar_items) {\n",
       "        var name = mpl.toolbar_items[toolbar_ind][0];\n",
       "        var tooltip = mpl.toolbar_items[toolbar_ind][1];\n",
       "        var image = mpl.toolbar_items[toolbar_ind][2];\n",
       "        var method_name = mpl.toolbar_items[toolbar_ind][3];\n",
       "\n",
       "        if (!name) {\n",
       "            // put a spacer in here.\n",
       "            continue;\n",
       "        }\n",
       "        var button = $('<button/>');\n",
       "        button.addClass('ui-button ui-widget ui-state-default ui-corner-all ' +\n",
       "                        'ui-button-icon-only');\n",
       "        button.attr('role', 'button');\n",
       "        button.attr('aria-disabled', 'false');\n",
       "        button.click(method_name, toolbar_event);\n",
       "        button.mouseover(tooltip, toolbar_mouse_event);\n",
       "\n",
       "        var icon_img = $('<span/>');\n",
       "        icon_img.addClass('ui-button-icon-primary ui-icon');\n",
       "        icon_img.addClass(image);\n",
       "        icon_img.addClass('ui-corner-all');\n",
       "\n",
       "        var tooltip_span = $('<span/>');\n",
       "        tooltip_span.addClass('ui-button-text');\n",
       "        tooltip_span.html(tooltip);\n",
       "\n",
       "        button.append(icon_img);\n",
       "        button.append(tooltip_span);\n",
       "\n",
       "        nav_element.append(button);\n",
       "    }\n",
       "\n",
       "    var fmt_picker_span = $('<span/>');\n",
       "\n",
       "    var fmt_picker = $('<select/>');\n",
       "    fmt_picker.addClass('mpl-toolbar-option ui-widget ui-widget-content');\n",
       "    fmt_picker_span.append(fmt_picker);\n",
       "    nav_element.append(fmt_picker_span);\n",
       "    this.format_dropdown = fmt_picker[0];\n",
       "\n",
       "    for (var ind in mpl.extensions) {\n",
       "        var fmt = mpl.extensions[ind];\n",
       "        var option = $(\n",
       "            '<option/>', {selected: fmt === mpl.default_extension}).html(fmt);\n",
       "        fmt_picker.append(option);\n",
       "    }\n",
       "\n",
       "    // Add hover states to the ui-buttons\n",
       "    $( \".ui-button\" ).hover(\n",
       "        function() { $(this).addClass(\"ui-state-hover\");},\n",
       "        function() { $(this).removeClass(\"ui-state-hover\");}\n",
       "    );\n",
       "\n",
       "    var status_bar = $('<span class=\"mpl-message\"/>');\n",
       "    nav_element.append(status_bar);\n",
       "    this.message = status_bar[0];\n",
       "}\n",
       "\n",
       "mpl.figure.prototype.request_resize = function(x_pixels, y_pixels) {\n",
       "    // Request matplotlib to resize the figure. Matplotlib will then trigger a resize in the client,\n",
       "    // which will in turn request a refresh of the image.\n",
       "    this.send_message('resize', {'width': x_pixels, 'height': y_pixels});\n",
       "}\n",
       "\n",
       "mpl.figure.prototype.send_message = function(type, properties) {\n",
       "    properties['type'] = type;\n",
       "    properties['figure_id'] = this.id;\n",
       "    this.ws.send(JSON.stringify(properties));\n",
       "}\n",
       "\n",
       "mpl.figure.prototype.send_draw_message = function() {\n",
       "    if (!this.waiting) {\n",
       "        this.waiting = true;\n",
       "        this.ws.send(JSON.stringify({type: \"draw\", figure_id: this.id}));\n",
       "    }\n",
       "}\n",
       "\n",
       "\n",
       "mpl.figure.prototype.handle_save = function(fig, msg) {\n",
       "    var format_dropdown = fig.format_dropdown;\n",
       "    var format = format_dropdown.options[format_dropdown.selectedIndex].value;\n",
       "    fig.ondownload(fig, format);\n",
       "}\n",
       "\n",
       "\n",
       "mpl.figure.prototype.handle_resize = function(fig, msg) {\n",
       "    var size = msg['size'];\n",
       "    if (size[0] != fig.canvas.width || size[1] != fig.canvas.height) {\n",
       "        fig._resize_canvas(size[0], size[1]);\n",
       "        fig.send_message(\"refresh\", {});\n",
       "    };\n",
       "}\n",
       "\n",
       "mpl.figure.prototype.handle_rubberband = function(fig, msg) {\n",
       "    var x0 = msg['x0'] / mpl.ratio;\n",
       "    var y0 = (fig.canvas.height - msg['y0']) / mpl.ratio;\n",
       "    var x1 = msg['x1'] / mpl.ratio;\n",
       "    var y1 = (fig.canvas.height - msg['y1']) / mpl.ratio;\n",
       "    x0 = Math.floor(x0) + 0.5;\n",
       "    y0 = Math.floor(y0) + 0.5;\n",
       "    x1 = Math.floor(x1) + 0.5;\n",
       "    y1 = Math.floor(y1) + 0.5;\n",
       "    var min_x = Math.min(x0, x1);\n",
       "    var min_y = Math.min(y0, y1);\n",
       "    var width = Math.abs(x1 - x0);\n",
       "    var height = Math.abs(y1 - y0);\n",
       "\n",
       "    fig.rubberband_context.clearRect(\n",
       "        0, 0, fig.canvas.width / mpl.ratio, fig.canvas.height / mpl.ratio);\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\", \"jpeg\", \"pdf\", \"png\", \"ps\", \"raw\", \"svg\", \"tif\"];\n",
       "\n",
       "mpl.default_extension = \"png\";var comm_websocket_adapter = function(comm) {\n",
       "    // Create a \"websocket\"-like object which calls the given IPython comm\n",
       "    // object with the appropriate methods. Currently this is a non binary\n",
       "    // socket, so there is still some room for performance tuning.\n",
       "    var ws = {};\n",
       "\n",
       "    ws.close = function() {\n",
       "        comm.close()\n",
       "    };\n",
       "    ws.send = function(m) {\n",
       "        //console.log('sending', m);\n",
       "        comm.send(m);\n",
       "    };\n",
       "    // Register the callback with on_msg.\n",
       "    comm.on_msg(function(msg) {\n",
       "        //console.log('receiving', msg['content']['data'], msg);\n",
       "        // Pass the mpl event to the 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": {
      "text/html": [
       "<div id='ffbe1f5e-bf8c-48b8-a5a9-2045e3ce81da'></div>"
      ],
      "text/plain": [
       "<IPython.core.display.HTML object>"
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     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# Plotting velocity and density model\n",
    "plt.ion()\n",
    "fig1 = plt.figure()\n",
    "#plt.title('P-wave Velocity Model (m/s)')\n",
    "plt.xlabel('x (m)')\n",
    "plt.ylabel('z (m)')\n",
    "im = plt.imshow(Vpp.transpose(),vmin=Vpp.min(), vmax=Vpp.max(), animated=True,\n",
    "                interpolation=\"nearest\", cmap=plt.cm.RdBu)\n",
    "fig1.colorbar(im)\n",
    "\n",
    "fig2 = plt.figure()\n",
    "plt.title('S-wave Velocity Model (m/s)')\n",
    "plt.xlabel('x-grid')\n",
    "plt.ylabel('z-grid')\n",
    "im = plt.imshow(Vss.transpose(),vmin=Vss.min(), vmax=Vss.max(), animated=True,\n",
    "                interpolation=\"nearest\", cmap=plt.cm.RdBu)\n",
    "fig2.colorbar(im)\n",
    "\n",
    "fig3 = plt.figure()\n",
    "plt.title('Density Model (Kg/$m^3$)')\n",
    "plt.xlabel('x-grid')\n",
    "plt.ylabel('z-grid')\n",
    "im = plt.imshow(den.transpose(),vmin=den.min(), vmax=den.max(), animated=True,\n",
    "                interpolation=\"nearest\", cmap=plt.cm.RdBu)\n",
    "fig3.colorbar(im)\n",
    "\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 41,
   "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 / mpl.ratio, fig.canvas.height / mpl.ratio);\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\", \"jpeg\", \"pdf\", \"png\", \"ps\", \"raw\", \"svg\", \"tif\"];\n",
       "\n",
       "mpl.default_extension = \"png\";var comm_websocket_adapter = function(comm) {\n",
       "    // Create a \"websocket\"-like object which calls the given IPython comm\n",
       "    // object with the appropriate methods. Currently this is a non binary\n",
       "    // socket, so there is still some room for performance tuning.\n",
       "    var ws = {};\n",
       "\n",
       "    ws.close = function() {\n",
       "        comm.close()\n",
       "    };\n",
       "    ws.send = function(m) {\n",
       "        //console.log('sending', m);\n",
       "        comm.send(m);\n",
       "    };\n",
       "    // Register the callback with on_msg.\n",
       "    comm.on_msg(function(msg) {\n",
       "        //console.log('receiving', msg['content']['data'], msg);\n",
       "        // Pass the mpl event to the 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": {
      "text/html": [
       "<div id='ec4aaf7d-cec8-403f-a1fa-17a122c96f01'></div>"
      ],
      "text/plain": [
       "<IPython.core.display.HTML object>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# PML extra edge\n",
    "\n",
    "Vp=np.zeros((m,n))                        # medium velocity of P wave,m/s,zero fill\n",
    "Vp[pml:pml+nx,pml:pml+nz] = Vpp\n",
    "Vp[pml:pml+nx,0:pml] = np.transpose(npmat.repmat(Vpp[:,0],pml,1))\n",
    "Vp[pml:pml+nx,nz+pml:2*pml+nz] = np.transpose(npmat.repmat(Vpp[:,nz-1],pml,1))\n",
    "Vp[0:pml,:] = npmat.repmat(Vp[pml,:],pml, 1)\n",
    "Vp[pml+nx:2*pml+nx,:] = npmat.repmat(Vp[pml+nx-1,:],pml, 1)\n",
    "del Vpp\n",
    "\n",
    "Vs=np.zeros((m,n))                        # medium velocity of S wave,m/s,zero fill\n",
    "Vs[pml:pml+nx,pml:pml+nz] = Vss\n",
    "Vs[pml:pml+nx,0:pml] = np.transpose(npmat.repmat(Vss[:,0],pml,1))\n",
    "Vs[pml:pml+nx,nz+pml:nz+2*pml] = np.transpose(npmat.repmat(Vss[:,nz-1],pml,1))\n",
    "Vs[0:pml,:] = npmat.repmat(Vs[pml,:],pml, 1)\n",
    "Vs[pml+nx:2*pml+nx,:] = npmat.repmat(Vs[pml+nx-1,:],pml, 1)\n",
    "del Vss;\n",
    "\n",
    "rho=np.zeros((m,n))                        # medium density,kg/m**3,zero fill\n",
    "rho[pml:pml+nx,pml:pml+nz] = den;\n",
    "rho[pml:pml+nx,0:pml] = np.transpose(npmat.repmat(den[:,0],pml,1))\n",
    "rho[pml:pml+nx,nz+pml:nz+2*pml] = np.transpose(npmat.repmat(den[:,nz-1],pml,1))\n",
    "rho[0:pml,:] = npmat.repmat(rho[pml,:],pml, 1)\n",
    "rho[pml+nx:2*pml+nx,:] =npmat.repmat(rho[pml+nx-1,:],pml,1)\n",
    "del den\n",
    "\n",
    "# Calculate Lame  Parameters\n",
    "lam=rho*(Vp**2 - 2*Vs**2)\n",
    "mu=rho*Vs**2\n",
    "del Vs\n",
    "\n",
    "plt.ion()\n",
    "fig1 = plt.figure()\n",
    "#plt.title('P-wave Velocity Model (m/s)')\n",
    "plt.xlabel('x (m)')\n",
    "plt.ylabel('z (m)')\n",
    "im = plt.imshow(Vp.transpose(),vmin=Vp.min(), vmax=Vp.max(), animated=True,\n",
    "                interpolation=\"nearest\", cmap=plt.cm.RdBu,extent=[0,(m)*1.5,(n)*1.5,0],aspect = 'equal')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 42,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "0.999744 0.999744 4e-05\n"
     ]
    }
   ],
   "source": [
    "## Preparation \n",
    "\n",
    "# Init wavefields\n",
    "vx=np.zeros((m,n))\n",
    "vz=np.zeros((m,n))\n",
    "sxx=np.zeros((m,n))\n",
    "szz=np.zeros((m,n))\n",
    "sxz=np.zeros((m,n))\n",
    "vx1=np.zeros((m,n))\n",
    "vx2=np.zeros((m,n))\n",
    "vz1=np.zeros((m,n))\n",
    "vz2=np.zeros((m,n))\n",
    "sxx1=np.zeros((m,n))\n",
    "sxx2=np.zeros((m,n))\n",
    "szz1=np.zeros((m,n))\n",
    "szz2=np.zeros((m,n))\n",
    "sxz1=np.zeros((m,n))\n",
    "sxz2=np.zeros((m,n))\n",
    "\n",
    "vol   = np.zeros([m,n])\n",
    "curl  = np.zeros([m,n])\n",
    "\n",
    "cmin=Vp.min()  # Lowest P-wave velocity\n",
    "cmax=Vp.max()  # Highest P-wave velocity\n",
    "fmax=2*f0              # Maximum frequency\n",
    "#dx=cmin/(fmax*c1)      # Spatial discretization (in m)\n",
    "dx=0.999744\n",
    "dz=dx \n",
    "#dt=dx/(cmax)*c2        # Temporal discretization (in s)\n",
    "dt=0.00004\n",
    "lampda_min=cmin/fmax   # Smallest wavelength\n",
    "print(dx,dz,dt)\n",
    "del Vp\n",
    "\n",
    "# Create space and time vector\n",
    "x=np.arange(0,dx*nx-dx,dx) # Space vector\n",
    "z=np.arange(0,(dz*nz-dz),dz) # Space vector\n",
    "t=np.arange(0,(T-dt),dt)    # Time vector\n",
    "nt=len(t)       # Number of time steps\n",
    "\n",
    "# Shot gathers\n",
    "seismo_vx=np.zeros((m,nt))\n",
    "seismo_vz=np.zeros((m,nt))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 43,
   "metadata": {
    "scrolled": false
   },
   "outputs": [
    {
     "data": {
      "application/javascript": [
       "/* Put everything inside the global mpl namespace */\n",
       "window.mpl = {};\n",
       "\n",
       "\n",
       "mpl.get_websocket_type = function() {\n",
       "    if (typeof(WebSocket) !== 'undefined') {\n",
       "        return WebSocket;\n",
       "    } else if (typeof(MozWebSocket) !== 'undefined') {\n",
       "        return MozWebSocket;\n",
       "    } else {\n",
       "        alert('Your browser does not have WebSocket support. ' +\n",
       "              'Please try Chrome, Safari or Firefox ≥ 6. ' +\n",
       "              'Firefox 4 and 5 are also supported but you ' +\n",
       "              'have to enable WebSockets in about:config.');\n",
       "    };\n",
       "}\n",
       "\n",
       "mpl.figure = function(figure_id, websocket, ondownload, parent_element) {\n",
       "    this.id = figure_id;\n",
       "\n",
       "    this.ws = websocket;\n",
       "\n",
       "    this.supports_binary = (this.ws.binaryType != undefined);\n",
       "\n",
       "    if (!this.supports_binary) {\n",
       "        var warnings = document.getElementById(\"mpl-warnings\");\n",
       "        if (warnings) {\n",
       "            warnings.style.display = 'block';\n",
       "            warnings.textContent = (\n",
       "                \"This browser does not support binary websocket messages. \" +\n",
       "                    \"Performance may be slow.\");\n",
       "        }\n",
       "    }\n",
       "\n",
       "    this.imageObj = new Image();\n",
       "\n",
       "    this.context = undefined;\n",
       "    this.message = undefined;\n",
       "    this.canvas = undefined;\n",
       "    this.rubberband_canvas = undefined;\n",
       "    this.rubberband_context = undefined;\n",
       "    this.format_dropdown = undefined;\n",
       "\n",
       "    this.image_mode = 'full';\n",
       "\n",
       "    this.root = $('<div/>');\n",
       "    this._root_extra_style(this.root)\n",
       "    this.root.attr('style', 'display: inline-block');\n",
       "\n",
       "    $(parent_element).append(this.root);\n",
       "\n",
       "    this._init_header(this);\n",
       "    this._init_canvas(this);\n",
       "    this._init_toolbar(this);\n",
       "\n",
       "    var fig = this;\n",
       "\n",
       "    this.waiting = false;\n",
       "\n",
       "    this.ws.onopen =  function () {\n",
       "            fig.send_message(\"supports_binary\", {value: fig.supports_binary});\n",
       "            fig.send_message(\"send_image_mode\", {});\n",
       "            if (mpl.ratio != 1) {\n",
       "                fig.send_message(\"set_dpi_ratio\", {'dpi_ratio': mpl.ratio});\n",
       "            }\n",
       "            fig.send_message(\"refresh\", {});\n",
       "        }\n",
       "\n",
       "    this.imageObj.onload = function() {\n",
       "            if (fig.image_mode == 'full') {\n",
       "                // Full images could contain transparency (where diff images\n",
       "                // almost always do), so we need to clear the canvas so that\n",
       "                // there is no ghosting.\n",
       "                fig.context.clearRect(0, 0, fig.canvas.width, fig.canvas.height);\n",
       "            }\n",
       "            fig.context.drawImage(fig.imageObj, 0, 0);\n",
       "        };\n",
       "\n",
       "    this.imageObj.onunload = function() {\n",
       "        fig.ws.close();\n",
       "    }\n",
       "\n",
       "    this.ws.onmessage = this._make_on_message_function(this);\n",
       "\n",
       "    this.ondownload = ondownload;\n",
       "}\n",
       "\n",
       "mpl.figure.prototype._init_header = function() {\n",
       "    var titlebar = $(\n",
       "        '<div class=\"ui-dialog-titlebar ui-widget-header ui-corner-all ' +\n",
       "        'ui-helper-clearfix\"/>');\n",
       "    var titletext = $(\n",
       "        '<div class=\"ui-dialog-title\" style=\"width: 100%; ' +\n",
       "        'text-align: center; padding: 3px;\"/>');\n",
       "    titlebar.append(titletext)\n",
       "    this.root.append(titlebar);\n",
       "    this.header = titletext[0];\n",
       "}\n",
       "\n",
       "\n",
       "\n",
       "mpl.figure.prototype._canvas_extra_style = function(canvas_div) {\n",
       "\n",
       "}\n",
       "\n",
       "\n",
       "mpl.figure.prototype._root_extra_style = function(canvas_div) {\n",
       "\n",
       "}\n",
       "\n",
       "mpl.figure.prototype._init_canvas = function() {\n",
       "    var fig = this;\n",
       "\n",
       "    var canvas_div = $('<div/>');\n",
       "\n",
       "    canvas_div.attr('style', 'position: relative; clear: both; outline: 0');\n",
       "\n",
       "    function canvas_keyboard_event(event) {\n",
       "        return fig.key_event(event, event['data']);\n",
       "    }\n",
       "\n",
       "    canvas_div.keydown('key_press', canvas_keyboard_event);\n",
       "    canvas_div.keyup('key_release', canvas_keyboard_event);\n",
       "    this.canvas_div = canvas_div\n",
       "    this._canvas_extra_style(canvas_div)\n",
       "    this.root.append(canvas_div);\n",
       "\n",
       "    var canvas = $('<canvas/>');\n",
       "    canvas.addClass('mpl-canvas');\n",
       "    canvas.attr('style', \"left: 0; top: 0; z-index: 0; outline: 0\")\n",
       "\n",
       "    this.canvas = canvas[0];\n",
       "    this.context = canvas[0].getContext(\"2d\");\n",
       "\n",
       "    var backingStore = this.context.backingStorePixelRatio ||\n",
       "\tthis.context.webkitBackingStorePixelRatio ||\n",
       "\tthis.context.mozBackingStorePixelRatio ||\n",
       "\tthis.context.msBackingStorePixelRatio ||\n",
       "\tthis.context.oBackingStorePixelRatio ||\n",
       "\tthis.context.backingStorePixelRatio || 1;\n",
       "\n",
       "    mpl.ratio = (window.devicePixelRatio || 1) / backingStore;\n",
       "\n",
       "    var rubberband = $('<canvas/>');\n",
       "    rubberband.attr('style', \"position: absolute; left: 0; top: 0; z-index: 1;\")\n",
       "\n",
       "    var pass_mouse_events = true;\n",
       "\n",
       "    canvas_div.resizable({\n",
       "        start: function(event, ui) {\n",
       "            pass_mouse_events = false;\n",
       "        },\n",
       "        resize: function(event, ui) {\n",
       "            fig.request_resize(ui.size.width, ui.size.height);\n",
       "        },\n",
       "        stop: function(event, ui) {\n",
       "            pass_mouse_events = true;\n",
       "            fig.request_resize(ui.size.width, ui.size.height);\n",
       "        },\n",
       "    });\n",
       "\n",
       "    function mouse_event_fn(event) {\n",
       "        if (pass_mouse_events)\n",
       "            return fig.mouse_event(event, event['data']);\n",
       "    }\n",
       "\n",
       "    rubberband.mousedown('button_press', mouse_event_fn);\n",
       "    rubberband.mouseup('button_release', mouse_event_fn);\n",
       "    // Throttle sequential mouse events to 1 every 20ms.\n",
       "    rubberband.mousemove('motion_notify', mouse_event_fn);\n",
       "\n",
       "    rubberband.mouseenter('figure_enter', mouse_event_fn);\n",
       "    rubberband.mouseleave('figure_leave', mouse_event_fn);\n",
       "\n",
       "    canvas_div.on(\"wheel\", function (event) {\n",
       "        event = event.originalEvent;\n",
       "        event['data'] = 'scroll'\n",
       "        if (event.deltaY < 0) {\n",
       "            event.step = 1;\n",
       "        } else {\n",
       "            event.step = -1;\n",
       "        }\n",
       "        mouse_event_fn(event);\n",
       "    });\n",
       "\n",
       "    canvas_div.append(canvas);\n",
       "    canvas_div.append(rubberband);\n",
       "\n",
       "    this.rubberband = rubberband;\n",
       "    this.rubberband_canvas = rubberband[0];\n",
       "    this.rubberband_context = rubberband[0].getContext(\"2d\");\n",
       "    this.rubberband_context.strokeStyle = \"#000000\";\n",
       "\n",
       "    this._resize_canvas = function(width, height) {\n",
       "        // Keep the size of the canvas, canvas container, and rubber band\n",
       "        // canvas in synch.\n",
       "        canvas_div.css('width', width)\n",
       "        canvas_div.css('height', height)\n",
       "\n",
       "        canvas.attr('width', width * mpl.ratio);\n",
       "        canvas.attr('height', height * mpl.ratio);\n",
       "        canvas.attr('style', 'width: ' + width + 'px; height: ' + height + 'px;');\n",
       "\n",
       "        rubberband.attr('width', width);\n",
       "        rubberband.attr('height', height);\n",
       "    }\n",
       "\n",
       "    // Set the figure to an initial 600x600px, this will subsequently be updated\n",
       "    // upon first draw.\n",
       "    this._resize_canvas(600, 600);\n",
       "\n",
       "    // Disable right mouse context menu.\n",
       "    $(this.rubberband_canvas).bind(\"contextmenu\",function(e){\n",
       "        return false;\n",
       "    });\n",
       "\n",
       "    function set_focus () {\n",
       "        canvas.focus();\n",
       "        canvas_div.focus();\n",
       "    }\n",
       "\n",
       "    window.setTimeout(set_focus, 100);\n",
       "}\n",
       "\n",
       "mpl.figure.prototype._init_toolbar = function() {\n",
       "    var fig = this;\n",
       "\n",
       "    var nav_element = $('<div/>');\n",
       "    nav_element.attr('style', 'width: 100%');\n",
       "    this.root.append(nav_element);\n",
       "\n",
       "    // Define a callback function for later on.\n",
       "    function toolbar_event(event) {\n",
       "        return fig.toolbar_button_onclick(event['data']);\n",
       "    }\n",
       "    function toolbar_mouse_event(event) {\n",
       "        return fig.toolbar_button_onmouseover(event['data']);\n",
       "    }\n",
       "\n",
       "    for(var toolbar_ind in mpl.toolbar_items) {\n",
       "        var name = mpl.toolbar_items[toolbar_ind][0];\n",
       "        var tooltip = mpl.toolbar_items[toolbar_ind][1];\n",
       "        var image = mpl.toolbar_items[toolbar_ind][2];\n",
       "        var method_name = mpl.toolbar_items[toolbar_ind][3];\n",
       "\n",
       "        if (!name) {\n",
       "            // put a spacer in here.\n",
       "            continue;\n",
       "        }\n",
       "        var button = $('<button/>');\n",
       "        button.addClass('ui-button ui-widget ui-state-default ui-corner-all ' +\n",
       "                        'ui-button-icon-only');\n",
       "        button.attr('role', 'button');\n",
       "        button.attr('aria-disabled', 'false');\n",
       "        button.click(method_name, toolbar_event);\n",
       "        button.mouseover(tooltip, toolbar_mouse_event);\n",
       "\n",
       "        var icon_img = $('<span/>');\n",
       "        icon_img.addClass('ui-button-icon-primary ui-icon');\n",
       "        icon_img.addClass(image);\n",
       "        icon_img.addClass('ui-corner-all');\n",
       "\n",
       "        var tooltip_span = $('<span/>');\n",
       "        tooltip_span.addClass('ui-button-text');\n",
       "        tooltip_span.html(tooltip);\n",
       "\n",
       "        button.append(icon_img);\n",
       "        button.append(tooltip_span);\n",
       "\n",
       "        nav_element.append(button);\n",
       "    }\n",
       "\n",
       "    var fmt_picker_span = $('<span/>');\n",
       "\n",
       "    var fmt_picker = $('<select/>');\n",
       "    fmt_picker.addClass('mpl-toolbar-option ui-widget ui-widget-content');\n",
       "    fmt_picker_span.append(fmt_picker);\n",
       "    nav_element.append(fmt_picker_span);\n",
       "    this.format_dropdown = fmt_picker[0];\n",
       "\n",
       "    for (var ind in mpl.extensions) {\n",
       "        var fmt = mpl.extensions[ind];\n",
       "        var option = $(\n",
       "            '<option/>', {selected: fmt === mpl.default_extension}).html(fmt);\n",
       "        fmt_picker.append(option);\n",
       "    }\n",
       "\n",
       "    // Add hover states to the ui-buttons\n",
       "    $( \".ui-button\" ).hover(\n",
       "        function() { $(this).addClass(\"ui-state-hover\");},\n",
       "        function() { $(this).removeClass(\"ui-state-hover\");}\n",
       "    );\n",
       "\n",
       "    var status_bar = $('<span class=\"mpl-message\"/>');\n",
       "    nav_element.append(status_bar);\n",
       "    this.message = status_bar[0];\n",
       "}\n",
       "\n",
       "mpl.figure.prototype.request_resize = function(x_pixels, y_pixels) {\n",
       "    // Request matplotlib to resize the figure. Matplotlib will then trigger a resize in the client,\n",
       "    // which will in turn request a refresh of the image.\n",
       "    this.send_message('resize', {'width': x_pixels, 'height': y_pixels});\n",
       "}\n",
       "\n",
       "mpl.figure.prototype.send_message = function(type, properties) {\n",
       "    properties['type'] = type;\n",
       "    properties['figure_id'] = this.id;\n",
       "    this.ws.send(JSON.stringify(properties));\n",
       "}\n",
       "\n",
       "mpl.figure.prototype.send_draw_message = function() {\n",
       "    if (!this.waiting) {\n",
       "        this.waiting = true;\n",
       "        this.ws.send(JSON.stringify({type: \"draw\", figure_id: this.id}));\n",
       "    }\n",
       "}\n",
       "\n",
       "\n",
       "mpl.figure.prototype.handle_save = function(fig, msg) {\n",
       "    var format_dropdown = fig.format_dropdown;\n",
       "    var format = format_dropdown.options[format_dropdown.selectedIndex].value;\n",
       "    fig.ondownload(fig, format);\n",
       "}\n",
       "\n",
       "\n",
       "mpl.figure.prototype.handle_resize = function(fig, msg) {\n",
       "    var size = msg['size'];\n",
       "    if (size[0] != fig.canvas.width || size[1] != fig.canvas.height) {\n",
       "        fig._resize_canvas(size[0], size[1]);\n",
       "        fig.send_message(\"refresh\", {});\n",
       "    };\n",
       "}\n",
       "\n",
       "mpl.figure.prototype.handle_rubberband = function(fig, msg) {\n",
       "    var x0 = msg['x0'] / mpl.ratio;\n",
       "    var y0 = (fig.canvas.height - msg['y0']) / mpl.ratio;\n",
       "    var x1 = msg['x1'] / mpl.ratio;\n",
       "    var y1 = (fig.canvas.height - msg['y1']) / mpl.ratio;\n",
       "    x0 = Math.floor(x0) + 0.5;\n",
       "    y0 = Math.floor(y0) + 0.5;\n",
       "    x1 = Math.floor(x1) + 0.5;\n",
       "    y1 = Math.floor(y1) + 0.5;\n",
       "    var min_x = Math.min(x0, x1);\n",
       "    var min_y = Math.min(y0, y1);\n",
       "    var width = Math.abs(x1 - x0);\n",
       "    var height = Math.abs(y1 - y0);\n",
       "\n",
       "    fig.rubberband_context.clearRect(\n",
       "        0, 0, fig.canvas.width / mpl.ratio, fig.canvas.height / mpl.ratio);\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\", \"jpeg\", \"pdf\", \"png\", \"ps\", \"raw\", \"svg\", \"tif\"];\n",
       "\n",
       "mpl.default_extension = \"png\";var comm_websocket_adapter = function(comm) {\n",
       "    // Create a \"websocket\"-like object which calls the given IPython comm\n",
       "    // object with the appropriate methods. Currently this is a non binary\n",
       "    // socket, so there is still some room for performance tuning.\n",
       "    var ws = {};\n",
       "\n",
       "    ws.close = function() {\n",
       "        comm.close()\n",
       "    };\n",
       "    ws.send = function(m) {\n",
       "        //console.log('sending', m);\n",
       "        comm.send(m);\n",
       "    };\n",
       "    // Register the callback with on_msg.\n",
       "    comm.on_msg(function(msg) {\n",
       "        //console.log('receiving', msg['content']['data'], msg);\n",
       "        // Pass the mpl event to the 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": {
      "text/html": [
       "<div id='9208719e-05e7-432b-ae08-9f6d8b804577'></div>"
      ],
      "text/plain": [
       "<IPython.core.display.HTML object>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# Source signal - Ricker-wavelet\n",
    "\n",
    "# Initialise source\n",
    "tau=np.pi*f0*(t-t0);\n",
    "s=q0*(1-2*tau**2)*np.exp(-tau**2);\n",
    "\n",
    "# Plotting source signal\n",
    "plt.ion()\n",
    "fig4 = plt.figure(figsize=(9,4.5))\n",
    "plt.plot(t-t0,s)\n",
    "plt.title('Source signal Ricker-Wavelet')\n",
    "plt.xlabel('Time in s')\n",
    "plt.ylabel('Amplitude')\n",
    "plt.show() "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 44,
   "metadata": {},
   "outputs": [],
   "source": [
    "#**********************attemuatiom(pnl)************************\n",
    "R=0.5e-0;          # theoretical reflectiom coefficiemt\n",
    "ddx=np.zeros((m,n)) \n",
    "ddz=np.zeros((m,n))\n",
    "plx=pml*dx;\n",
    "plz=pml*dz;\n",
    "for i in range(0,m):\n",
    "     for k in range(0,n):\n",
    "         # zome1\n",
    "         if i>=0 and i<=pml-1 and k>=0 and k<=pml-1:\n",
    "             z=pml-k;x=pml-i;\n",
    "             ddz[i,k]=-np.log(R)*3*cmax*z**2/(2*plz**2);\n",
    "             ddx[i,k]=-np.log(R)*3*cmax*x**2/(2*plx**2);\n",
    "         elif i>=0 and i<=pml-1 and k>n-pml-1 and k<=n:\n",
    "             z=k-(n-pml);x=pml-i;\n",
    "             ddz[i,k]=-np.log(R)*3*cmax*z**2/(2*plz**2);\n",
    "             ddx[i,k]=-np.log(R)*3*cmax*x**2/(2*plx**2);\n",
    "         elif i>m-pml-1 and i<=m and k>=0 and k<=pml-1:\n",
    "             z=pml-k;x=i-(m-pml);\n",
    "             ddz[i,k]=-np.log(R)*3*cmax*z**2/(2*plz**2);\n",
    "             ddx[i,k]=-np.log(R)*3*cmax*x**2/(2*plx**2);\n",
    "         elif i>m-pml-1 and i<=m and k>n-pml-1 and k<=n:\n",
    "             z=k-(n-pml);x=i-(m-pml);\n",
    "             ddz[i,k]=-np.log(R)*3*cmax*z**2/(2*plz**2);\n",
    "             ddx[i,k]=-np.log(R)*3*cmax*x**2/(2*plx**2);\n",
    "  \n",
    "         # xone2\n",
    "         elif i<=pml-1 and k>pml-1 and k<n-pml:\n",
    "             z=0;x=pml-i;\n",
    "             ddz[i,k]=0;ddx[i,k]=-np.log(R)*3*cmax*x**2/(2*plx**2);\n",
    "         elif  i>m-pml-1 and i<=m and k>pml-1 and k<=n-pml-1:\n",
    "             z=0;x=i-(m-pml);\n",
    "             ddz[i,k]=0;ddx[i,k]=-np.log(R)*3*cmax*x**2/(2*plx**2);\n",
    "         # xome3\n",
    "         elif i>pml-1 and i<=m-pml-1 and k<=pml-1:\n",
    "             z=pml-k;x=0;\n",
    "             ddz[i,k]=-np.log(R)*3*cmax*z**2/(2*plz**2);\n",
    "             ddx[i,k]=0;\n",
    "         elif i>pml-1 and i<=m-pml-1 and k>n-pml-1 and k<=n:\n",
    "             z=k-(n-pml);x=0;\n",
    "             ddz[i,k]=-np.log(R)*3*cmax*z**2/(2*plz**2);\n",
    "             ddx[i,k]=0;\n",
    "             \n",
    "#ddx=np.transpose(ddx)\n",
    "#ddz=np.transpose(ddz)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 45,
   "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 / mpl.ratio, fig.canvas.height / mpl.ratio);\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\", \"jpeg\", \"pdf\", \"png\", \"ps\", \"raw\", \"svg\", \"tif\"];\n",
       "\n",
       "mpl.default_extension = \"png\";var comm_websocket_adapter = function(comm) {\n",
       "    // Create a \"websocket\"-like object which calls the given IPython comm\n",
       "    // object with the appropriate methods. Currently this is a non binary\n",
       "    // socket, so there is still some room for performance tuning.\n",
       "    var ws = {};\n",
       "\n",
       "    ws.close = function() {\n",
       "        comm.close()\n",
       "    };\n",
       "    ws.send = function(m) {\n",
       "        //console.log('sending', m);\n",
       "        comm.send(m);\n",
       "    };\n",
       "    // Register the callback with on_msg.\n",
       "    comm.on_msg(function(msg) {\n",
       "        //console.log('receiving', msg['content']['data'], msg);\n",
       "        // Pass the mpl event to the 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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       "<img 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rKo8FSKEekOiu9LpRji6UU/LQ5+r053tLLvXhVoyqnXQGUkVNBW13HOYKtvf+MY33M2Qbg7U8vC9dkJvnpS5ziDnnqvUZ0Vzr53ghsr3CeHvEIBACAKFPkOYK1vP11lE/Y7QzdZ0l9G43xUbggM5IFDuBBDCcu8BZXT9cQuh/vqqm8yokOnzdbozpb4/UG/89UF8fVav5QYsueZQodBZLn3dwQ9+8AP3rIbORKlEqBDpDqL6TOGaa67pTtFY3RDgmmuucc/Z5WYfVa70WUYVDX2WUONUIFVEdHZLn0/Uo+Uuo8ccc4zbZVQ3XdENYHSX0fZeSKzPTq6zzjru12GV4EKEMFeHY4891s0Crrrqqu7GIidMuonPT37yE/c+QN3gJa5DN4HR52R0wx3dVEZlWTeV0Q10nnvuObeBQu7QTWa03ZWxLgnW9tNlVHroMzW59tKbpu22287lbP5iet3EgRfTx9WylAMBCOjz5LoyQX/40u8kXW6vPyxWVVW5pZ/tLRlVevpeWB2z9fEE3VBGX8PEAQEIZI8AQpi9NqPGBRKIWwi1mioHOtvz97//3b1fTpc86pemSp7Khe6+2dqhgqUzZroluO4QqlKmIqIzjfrKBT1XxS93aJxuUqMCqJupNH8PoW4Lru+K0ufh9BUSKm4qiCoouedGmr+HUGcIdQMYnaHU9xDqKyp05tB36C/EuoGO1rcQIdRzdIdN3chAb0ZUnpu/h1DzqyypEMZ96HMxf/jDH9zsqR76q7gy1Zuo5kd7S1W1/ZsvEVZW2o4vv/yyrLLKKvL973/fbazTnnjHfd2UBwEIlD4B/XFQxzf9oUo3s9JNZnTzsrbeQ9iciH5P6Dkar48O6CuLOCAAgewRQAiz12bUGALBCeSEUMVVN60p5NAZS531au3VE4Xka3nToc/yqZzq7CUHBCAAAQhAAAIQgEAYAghhGI5kgUCmCYQQQgWgz8bprOijjz4alIf+Un3fffe52UGdTeOAAAQgAAEIQAACEAhDACEMw5EsEMg0gVBCqNuY66s0TjvttKZn/0KA0ZlBfZm7LmHlgAAEIAABCEAAAhAIRwAhDMeSTBCAAAQgAAEIQAACEIAABDJFACFMQXNdf/31cvnll7uXu+o73K6++mq3OyUHBCAAAQiUFgHG+9JqT64GAhCAQCkQQAgTbkV9LkpfHK43CbokbsSIEe59b7pbpO5GyQEBCEAAAqVBgPG+NNqRq4AABCBQagQQwoRbVN9Dp+8iu+GGG5pqoi/lPvDAA2Xo0KEJ147iIQABCEAgFAHG+1AkyQMBCEAAAiEJIIQhaeaZS981py+q1q3+DzrooKazTz75ZPe+NX3pdctD3zGn/+QOfVebvsy6a9eu7j11HBCAAARKmYC+KHvBggWiryGprKzMzKUy3memqagoBCCQEgJZHe9Tgi+vaiCEeeEKGzxt2jTp3bu3vPTSSyu84Priiy92L+ceP378SgUOGjTIvSyWAwIQgEA5E5g8ebL06dMnMwgY7zPTVFQUAhBIGYGsjfcpw2eqDkJowhRNUO4GYezYsbLTTjs1FTJkyBC54447ZNy4cSsV3HKGcN68ee5Zw48//jjoNv/RXHHyWesb/HUwhLgkdYZkywwxS2ttJS5aVu+tfNXCGm/MuC8XemM04Ml3q7xx/x37njdm9idve2PKIaDq76d5L/PMbx7ojUki4I5v7xqk2F+993zReWqkXu6SqTJ37lzp0qVL0fniShByvP+k3Mf7Bv9Y6NrVEmeJWZ6qoq7O21Uq6pZ5Y6RuqT9meURl9WJvXGW1fyyvne0fx7Wg2qpJ3vIWT5zsjZn32XRvjAbM/nimN25h1SJvTJ3he1GTdOnbyZvrGwf6X2vU8bCzvXk04Ed/GeuNe++x+70x5RDQ3vdCVsf7LLYbQphgqxWyhKhldefPn+9uiqqqqqRz584JXk02ijb4mdj0zCaENYYCrUK4sMZ/EzR9wf+WE7fVIh/M9N9E6Lmj357mbdT/PP+uN2bWR294Y8ohYNFj53gv88Tee3ljkgi4bcvvByn2N+88U3QevUEYKZNFfwzL0pgXcryfUe7jvVHiwgphrbfvmoSw1iqEfhmqrF7grVPtlzZBq53+uTfXos/80jj306nePBowa/wX3riF0/3fVXWG70UtqMuG/vujTX/2vx/m26pcx19d6K23Bux22QveuHcfvtcbUw4B7X0vZHW8z2K7IYQJt5puMrDNNtu4XUZzx2abbSYHHHCAaVMZhDC/BjT4GUL4FVKEML++5YtGCEXKWQi1f4Qa7xFC/49j7vNoEUdLzPJUFXUIIUIoghD6vuny/ztCmD+zKM5ACKOgmkfO3DbkN954o1s2etNNN8nNN98s77//vmy44YbeTAihF9EKAQihCDOE+fWZUNEIIUIYarxHCBFCHZeYIVy+UocZwlBfUYnlQQgTQ79CwQhhCtpBZwcvu+wy92L6AQMGyLBhw2TXXW3P7CCE+TUgQogQ5tdjwkUjhAih9qYQ4z1CiBAihI1jM0IY7jsqqUwIYVLkVywXIUxHOxRci5wQpu0GwfocXsEXnoITQ8mlZXMavVzLBjXVdX7ylmcRtbzphg1q/jvD/wzLQ2/Znin5z9OveVt17sT/emMIyD4BbhBab8O0jvdBe5xxCaepTEOuinr/UtBG8/DHWZ4hrDA+Q1hR7X+GsGLJfC+GulnGZwhn+DeMWTxpire8+Z/bylswZbY31+Ivl3hjVlljFW+MBqw/oLc3rvfPfuqN+W9P24/1ex1/szfXvMkfemOyHLDJHv97nVp71/F/V57Y5p95hjC+HoAQxsc6kpLSeoPg15JIcMSaFCEUQQhj7XJlUxhCiBAG6ewIoSCEjT0JIQzyicorCUKYF67EgxHCxJuguAoghMXxK+ZshBAhLKb/cG7bBBBChDDI5wMhRAi/6kgIYZBPVF5JEMK8cCUejBAm3gTFVQAhLI5fMWcjhAhhMf2HcxHCfPtAWsf7fK+j3XiDxJnLM+RiyWgjzVqWjApLRs2fLFMgQmjClJoghDA1TVFYRdJ6g8CS0cb2tHDgGcJGVjxDWNgYUIpnMUPYequmdbwP2gcNEmcuz5ALIUQIc/0JITR/skyBCKEJU2qCEMLUNEVhFUnrDYJFhAq74vScxQwhM4Tp6Y2lVROEECEM0qMRQpaMftWRWDIa5BOVVxKEMC9ciQcjhIk3QXEVSKsQFndVK55d6nJpEUslYuFgyVVrCVpe3tJa/9buC5f5Y6YtqDF1B8sGNQ+84d/l7t0nnzeVt2D6p6Y4gtJFoKGuRmrfu0vmzZsnnTt3TlflIq5NOYz3IV8mb8lVYZBG16y1/nHMtMtozWJTL6ms8e8y2rBorjdX3awqb4y7vBmTvHGLJ/tzLZw605tHAxbP9Ne9dol/Z9c1vra2qbxeu3zbG9dx76O8MTd85K+TJjnz9xd5c5V6wOfPXGO6xD+tN6DNOHYZNSEMEoQQBsGYXJJyuEGwiFByLVB8yUY/QwiXo0YIi+9vWc+AEHaRtL1mKGifsgiaJUYrZYhDCBtbDyEUQQiDfpIFIQzLM+psCGHUhCPOjxBGDDiG9AhhI2RmCGPobCVQBEKIEFpEz3V1hHD5klH/rB5C2DgwIoRhvyAQwrA8o86GEEZNOOL8CGHEgGNIjxAihDF0s5IpAiFECC2ihxA2fuQRwkYOLBmN/ysAIYyfeTElIoTF0EvBuQhhChqhyCoghAhhkV2orE5HCBFChLDxI88zhCI8Q5je4R8hTG/btFYzhDBb7bVSbRHCjDfg8uojhAhh9ntxfFeAECKECCFCmBtxEML4xt58S0II8yWWbDxCmCz/oktHCItGmHgChBAhTLwTZqgCCCFCiBAihAhh+gdthDD9bdS8hghhttqrLGcIQzYRO5baadYZYFleYWF5fYXWKtQrLN6tmm+6yPtf9m+z/vbox725qud/6Y0hIBwBhBAhDCqEdbbXCEi9P66ittrb0StCvnZi/ixveeZnCGdO9eZaPPULb8yiKn+dNEn13IXeXJaAtXt/zRImXXfZyRtXu/Nh3pjTRo/zxmjAqEuGm+IIap9AOY/3cfcNhDBu4oHLK4cZwpDIDI4TsrjYc1lnGy0VQwhFEEJLT4k3ppxvEMpivDfsDIoQNn7mGhBCQQjjHX/jLq2cx/u4WSOEcRMPXF5Z3CAEZIYQ2mEihAihvbfEF1nONwhlMd4jhO7DZHoxPUKIEMY39CZSUjmP93EDRwjjJh64vLK4QQjIDCG0w0QIEUJ7b4kvspxvEMpivEcIEcI8hhNmCPOAlcHQch7v424uhDBu4oHLK4sbhIDMEEI7TIQQIbT3lvgiy/kGoSzGe4QQIcxjOEEI84CVwdByHu/jbi6EMG7igcsrixuEgMwQQjtMhBAhtPeW+CLL+QahLMZ7hBAhzGM4QQjzgJXB0HIe7+NuLoQwbuKByyuLG4TAzHzpSl0afdefz98tm9hYxFLLDLVjqWW3Ui1vyjz/joCvTZnrxfGPf0/wxmjAf0bfZ4ojqH0C5XyDUBbjfUqFsKJumf+jWVfjjcnyLqNLqvw7Klt3GV22aKmXVYdVV/HGdNqguzdGA7rs/D1v3NxN9/DGnPTgB94YDbj/6htMcQQx3qelDyCEaWmJAutRFjcIBbIp9DSE0E4OIRRBCO39JUQkQshrJ5LYZRQhFEEIRRDCEKO4PUc5j/d2SmEiEcIwHBPLghCGR48Q2pkihAihvbeEiSznG4SyGO+ZIXQflDTuMooQIoRhRnF7lnIe7+2UwkQihGE4JpalLG4QYqaLENqBI4QIob23hIks5xuEshjvEUKE8KuhgiWjYcbMLGcp5/E+7nZDCOMmHri8srhBCMzMlw4h9BH6398RQoTQ3lvCRJbzDUJZjPcIIUKIEIYZLEsgSzmP93E3H0IYN/HA5ZXFDUJgZr50CKGPEELYnBDPENr7S4jIcr5BKIvxHiFECBHCEENlSeQo5/E+7gZECOMmHri8srhBCMwsznTIpZ12qNlGy26lWqultfXeys2r9sd8OnuxN48GPPDuNG/cvdeM9MZoQO3SRaa4Ugwq5xuEshjvEcKwQjjnC9MwUDeryhu3ZPoMb8zSWfO8MRpg2WW0sqNhl9G+tl1G195+V2+95vX3x1ww5mNvHg249eJrTHEEtU+gnMf7uPsGQhg38cDllcUNQmBmcaZDCO20EUIRhNDfX8r5BqEsxnuEECH8ahhACP3jYalHlPN4H3fbIoRxEw9cXlncIARmFmc6hNBOGyFECC29pZxvEMpivEcIEUKE0DIUlkVMOY/3cTcwQhg38cDllcUNQmBmcaZDCO20EUKE0NJbyvkGoSzGe4QQIUQILUNhWcSU83gfdwMjhAUSHzp0qDzwwAMybtw4WWONNWTnnXeWSy+9VDbddNOmjNXV1XLGGWfIPffcI0uWLJE99thDrr/+eunTp09TzKRJk+SEE06QZ555xuU5/PDD5YorrpCOHTuaalYWNwgmEukMQgjt7YIQIoSW3pLEDQLjvaVlAsUghAghQhjow5T9NEmM99mnVtgVIISFcZN99tlHDjvsMNluu+2ktrZWzj//fHnvvffkgw8+kLXWWstlPe6442T06NEyatQo6dq1q5x++ukye/ZsefPNN6VDhw5SV1cnW265pay//vpy5ZVXyqxZs+SII46Qgw8+WIYPH26qGUJowpRYEEJoR48QIoSW3pLEDQLjvaVlAsUghAghQhjow5T9NEmM99mnVtgVIISFcVvprJkzZ0q3bt3kueeek1133VXmzZvnRO+OO+6QQw891MVPmzZN+vbtK48//rjsvffe8sQTT8h+++0nkydPll69ermYe++9V4488kj54osvpHPnzt7a5YSwqqqq3fgKbyYC0k4AubS1kEUsNVOdAWhNnX+X0SW1hkTLy/tyca33Ap6fONsbowHX3v2uN27i2NHemCwGpOEGIenxfoZnvM9iuzbVGSG0C+HCud6mrvW5GCsAACAASURBVLPuMmqIq5np37F06az53jppwLJFS7xxHTqu6o1Zu/fXvDEasMZ3dvTGVX/r+96YG16f6o3RgD8PutUbt3Suf9dWb5ISD0jDeF/iiJsuDyEM1NKffPKJbLzxxm6WcMCAAW4JqC4R1RnBddddt6mULbbYQg488EAZPHiwXHjhhfLwww/Lu+/+7+Zuzpw5st5667nzd999d2/tEEIvopIJsGlHyVxuwReCEDaiQwgL7kLeE5Me7xFC/w81rhENcllR5/+hRlNV1C3z9gupq/HGVNTYXlNTWeN/tUwDQigIobfLZToAIYyv+RDCAKwbGhrkgAMOEJW5F154wWW8++675aijjhJ9jrD5sddee0m/fv1kxIgRMnDgQPn888/lqaeeWiFmtdVWc8tMf/7zn69UO83XPKcKoc46MkMYoCFTngIhtDUQQogQ2npKYVFpGO8RQoTQ+S5CiBAWNoxl5iyEML6mQggDsNZNYR577DF58cUXmzaMaUsI99xzT+nfv7/ceOONTggnTpwoY8aMWaEWuqHMX//6V/eMYstj0KBBbnax5YEQBmjIlKdACG0NhBAihLaeUlhUGsZ7hBAhRAgbP7/MEBY2jmXlLIQwvpZCCItkfeKJJ8pDDz0kzz//vJv5yx1RLRllhrDIBsvw6QihrfEQQoTQ1lPyj0rLeI8QIoQIIUKY/wiWvTMQwvjaDCEskLUuG9KbgwcffFCeffZZ9/xg8yO3qcydd94phxxyiPvT9OnT3Qxiy01lpkyZIj179nQx9913n9tplE1lCmyYEj4NIbQ1LkKIENp6ij0qbeM9QogQIoQIoX0Ey24kQhhf2yGEBbI+/vjj3XOCuilM83cPdunSxb1PUA997cSjjz7qngfUjWL0nYT6aomWr53o3r27XH755W4DGt1hVDedyfe1E74lowVeZqunsWNpSJphcyGNYXladiKtMxroUkOyBdV1pgv4aLZ/h75/vO3fDW/Mo2+Zypv5wVhTXKigS645v81USxctkPP33crt5GzZiTlEndI23iOE8Quh1Ps3n6moXXHPgNb6XsWypaYuWbHM/xmvWDzPm8u+y+jMILnsu4z6OVR0qPTWaa0e63ljNGC1jb/tjWvY3L+R3z+nGjYXWl7SuaPe8JY3/p8PeGPKPQAhjK8HIIQFsq6oaF2LRo4c6aROj6VLl8qZZ57pxLH5i+l1E5jcoS+m15uNli+m141lLId1l1FLLmsMQmglFX8cQhiWucHhBCEMy1yzpU0I0zbeI4QIoX5OEEIRhDD8+JumjAhhfK2BEMbHOpKSEMJIsGY2KUIYtukQwkae5T5DGLZXFZ4tN94jhAghQtj4OUIICx9PsnAmQhhfKyGE8bGOpCSEMBKsmU2KEIZtOoQQIQzbo4rLhhB+xc/wfkEXaYizvoeQJaMiluWnLBlt7KMsGS1urMudjRCG4WjJghBaKKU4BiFMceMkUDWEMCx0hBAhDNujisuGECKEzXsQS0aZISxuREn/2QhhfG2EEMbHOpKSEMJIsGY2KUIYtukQQoQwbI8qLhtCiBAihCt+hlgyWtyYkvazEcL4WgghjI91JCUlIYQhL4QNakLSDJsLubTxNG4yKhaey4zJlizzP0O1oMYfM3W+f1dEpTBpnn/Hw4U1/h1Se3SybZa1ba9ObcJfsGC+fKdfn1h3GbX1hOijEMIIhNCwrNSVWlvjbeCKOv8OlBW1/t01taCKGv9nrrJmkbdOdfNmeWM0wLIctN6Qq2bOHFN5tYtsHHzJVltnbV+I+3vHDVd8NVhrJ1V+c0dvrgkV3bwxGnDpM5944+679q/eGA1Ytni+Ka4UgxDC+FoVIYyPdSQlIYSRYCXpcgIWgQGUiNHhTDwRwsYehRC2/slCCL/iYpU4Q1yFIcaVihAKQiiCEMb7rY8QxscbIYyPdSQlIYSRYCUpQmjuAwhhIypmCM1dpuBAhBAhbN55mCFc/n5BZggLHk+ycCJCGF8rIYTxsY6kJIQwEqwkRQjNfQAhRAjNnaXIQIQQIUQIV/wQIYRFDiopPx0hjK+BEML4WEdSEkIYCVaSIoTmPoAQIoTmzlJkIEKIECKECGGRw0imTkcI42suhDA+1pGUhBBGgpWkCKG5DyCECKG5sxQZiBAihAghQljkMJKp0xHC+JoLIYyPdSQlIYSRYCUpQmjuAwghQmjuLEUGIoQIIUKIEBY5jGTqdIQwvuZCCONjHUlJoW8QSn1nSV5zEbYblnp/CUvLn80ql6b3Izb4W6fWWOAyQ4GGEFm10vYJXGOVtuN0zNugd09eO9G5s79DZTHCuuun5drqa71R5l1G6wy5DK+dkDr/6yu00pWG105ULFvsvb6GhXO9MRpg2UHU8gqL+vm211wsW+R/rUZDnf/VOaus3tF0fat26+WNW3WTLb0xi3p8xxujAf/6zM/98tEfmHK98be7THGlGIQQxteqCGF8rCMpCSHMD6vtdjS/nOUc7VeOcqaT/7Ub/Uws8lWHEObfACk/I/R4n8rLRQhdsyCEy199hBC6voAQ3lWWPwDGPT4jhHETD1xe6BuEUr/BRwjDdsBS7y9hafmzIYSNjJghbL2vhB7v/T0ygQiEECH8qtshhI0gEEKEMI6RGCGMg3KEZYS+QSj1G3yEMGxnLPX+EpaWPxtCiBC210tCj/f+HplABEKIECKEK3zwEEKEMI6RGCGMg3KEZYS+QSj1G3yEMGxnLPX+EpaWPxtCiBAihP7nxvyfpK8ieIZQeIawsS/wDKH5U5OqQJ4hjK85EML4WEdSEkKYH1aEMD9evmiE0Ecov78jhAghQogQah/gGUKeIcyNBcwQMkOY351EYdEIYWHcUnNWaCGM+8KyLBTIZdjekuW+EJZEmGxWubSUFnfbdGjnw6VjXo8ePcpyk4Gsj/eWviYhl4xacllille8IuZdRiuWLfXiqljm36mzYulCbx4NqDfsRmraiXTBHFN5DYsXeOPqa5Z5Yyo6VHpjNKBDl67euFX69PfGNPTZ3BujAdMq1/XGPf6RbUfWkWM+8uZ69+F7vTFZDGCGML5WQwjjYx1JSVm/QYj7RjNkIyCEIWku/zU4bLqyz4YQll4XyPp4b2oRo6AFy2UsDyE0vpoCIXRdEyE0fUK9QQihF1GwAIQwGMpkEmX9BiHLEoAQhu3zWe4LYUmEyYYQhuGYpixZH+9NLI2CFiyXsTyEECHUPscMoemTFywIIQyG0psIIfQiSndA1m8QsiwBCGHYz0aW+0JYEmGyIYRhOKYpS9bHexNLo6AFy2UsDyFECBFC06cuaBBCGBRnu8kQwvhYR1JS1m8QsiwBCGHYLp3lvhCWRJhsCGEYjmnKkvXx3sTSKGjBchnLQwgRQoTQ9KkLGoQQBsWJEMaHM/6Ssn6DkGUJQAjD9vcs94WwJMJkQwjDcExTlqyP9yaWRkELlstYHkKIECKEpk9d0CCEMChOhDA+nPGXlLtBqKqqks6dOxddgaxKTpZlIqvMi+5sBSTIcjsXcLmc0goBdhntIjMCjfeZ7WBGiTPtWGrMZRFCsbz3sL7OhL2i1rLLaLU3V8Wyxd4YJzqL53vj6hfM9ccYdivVJPWL/OU11PgZSL3tNSUVq6/prXuHdbt5Y1bp8w1vjAbUru+Pm7ikgynXvz+b7Y279+VJ3pjxr37ojdGAL8e9aoqLIwghjINyYxksGY2PdSQlIYSNWLMsCgih/aOR5Xa2XyWR7RFACBFCk+i5LwaDLFhi9GbJ8NoJhND2+gptGoRQBCH0f9chhH5GoSIQwlAkE8qDECKECXW9RIpFCBPBnqpCEUKE0CR6CGHjr/7MEDZyYIZQmCFM1VdZ6iqDEKauSfKrEEKIEObXY7IdjRBmu/1C1B4hRAgRwsZPUsUyloyyZLSxL7BkNMS3S3nnQAgz3v4IIUKY8S6cV/URwrxwlWQwQogQIoQIYdPgxjOECGFJftPFf1EIYfzMg5aIECKEQTtUypMhhClvoBiqhxAihAghQogQrjjYMkMYw5dPiReBEGa8gUMLYSgcWd4opdSlI8ttE6p/ap5Sb+eQrNKUCyFECM1CaOm41k1lDDuIimHjmQrjLqNSV+OtfcUy/y6cFbX+ZaVakOVZw4aF87x1smwWo0nqFy/w5mpYssgfU7vMG+MCKiu9cZVr+Xdq79C1hzeP49m1jzeututG3hgNmGrYKPa/Xyz05npxwixvjAa8/rE/7osp/r6wcJZ/V1otr7ZmSZv1ql+2RGbcf6rMmzcvyE76JgBlGoQQBmj4oUOHynnnnScnn3yyXH311S5jdXW1nHHGGXLPPffIkiVLZI899pDrr79e+vT53yAxadIkOeGEE+SZZ56RNdZYQw4//HC54oorpGPHjuZaIYRmVObAUhcFhLCxK5R6O5s7fMYC0yCESY35ZfEeQkt/NEqcJZVVLisQQkEIRRDCxk8VQmgaXTIVhBAW2Vyvv/66HHLIIe6Xi913371JCI877jgZPXq0jBo1Srp27Sqnn366zJ49W958803p0KGD1NXVyZZbbinrr7++XHnllTJr1iw54ogj5OCDD5bhw4eba4UQmlGZA0tdFBBChND8YUhhYNJCmOSYjxB+1SERQgeCGcLlP+wxQ+j6AjOEKfyyyliVEMIiGmzhwoWy9dZbu5m/iy66yAmezhDq1LaK3h133CGHHnqoK2HatGnSt29fefzxx2XvvfeWJ554Qvbbbz+ZPHmy9OrVy8Xce++9cuSRR8oXX3xhnhpHCItowDZORQjDM01jxlJv5zQyD1GnJIUw6TEfIUQIm3+GEEKEMNcfEMIQ3y7lnQMhLKL9dUZvvfXWk2HDhsluu+3WJIS6BFSXiOqM4LrrrttUwhZbbCEHHnigDB48WC688EJ5+OGH5d133236+5w5c1w+PV9nG1s7dCmq/pM79AZBRbOqqsoskUVcsvnULM9ClbooZLltzB3QEFjq7WxAkMmQJIUw7jG/rfF+RsrG+9g7EjOEDjlCiBAihLGPPiVbIEJYYNPqbJ7OCr7xxhuy+uqrryCEd999txx11FEriJsWs9dee0m/fv1kxIgRMnDgQPn888/lqaeeWqEGq622mltm+vOf/7zVmg0aNMgJZcsDISywIVs5rdRFASFsbPRSb+dwn4h0ZUpKCJMY89sa7xHC+nCd0iiXPEO4fMxkUxmeIfzqk8czhOGGoLRkQggLaAld5rnttts6mdNZPz2azxC2JYR77rmn9O/fX2688UYnhBMnTpQxY8asUAPdUOavf/2rHHbYYa3WLCszhAVgLeqUtEpOqUtHWrkX1ZkiOjmNfSGL7adC2L1Hj1h3nUtqzGeGsI0Po1HiTB9lay5DXIVhl1GxbE6zvOKm3UgD7USqnCqX7+boOyw7lpp3GV0031ecNCz1b6/ZUO2vt7egXMDy/R18R+Wa/p1IHc911/elEunczR+zPKKus39n0/kVq3tzzVhU643RgEnz/LvXTp3vj5m1yL9TrpZXXdv2DzxLFy2USw7aNtbx3gSpBIMQwgIa9aGHHpKDDjrIbQ6TO3STmIqKiuU7G1c6yfvBD34QyZLRltVN6zOEBWAt6pS03timUQKKAt3i5LRyD3mNoXKlsS9ksf2SEMK0jPk8Q/jVp9EgZ+bPrTWXIQ4hXP46CYPoadtY4hDCxl6MECKE5vGsiECEsAB4CxYscLN7zQ9dIvrNb35Tzj77bPdMn24qc+edd7odSPWYPn26e+VEy01lpkyZIj179nQx9913n9tptBQ2lSkAa1GnpPXGNo0SUBRohLBgfGnsC2n93LQHOQkhTMuYjxAihCt8NpghFGYIG3sEM4QFfzVz4lcEEMJAXaH5klFNqa+dePTRR93zgLpRjL6TUF8t0fK1E927d5fLL7/czSbqDqO66UwpvHYiEFZzmrTe2KZRAsxQDYFp5W6oeuwhaewLWWy/JISwtc6SxJiPECKECOGKn0aEECGM/cu8RAtECAM1bMubg6VLl8qZZ54p+jxh8xfT6+xh7tAX0x9//PErvZheN5axHiwZbSSV1hvbNEqAtW9Z4tLK3VL3uGPS2Bey2H5pFcI4xnyEECFECBHC1r67mCGM+xu99MpDCDPepgghQphkF86iUCTFCyEMQz4tQhjmavLLghAihAghQogQ5jduEm0jgBDaOKU2CiEM3zRplZw0CkVI+mnlHvIayVU8AYSwi5T9ayes3ciwEYw1lRhymV5NUW98ZYZhN9KKumXe6lcYnjPUJBXL/vd+47aSVtT6d5aUav/OoJq/Yekib93rl/hjGmoMddKSav2svBXSgFVWNYVVrrGWN65y7XW8MY7Vml28cfVr/u+d120FW2L03MX1/t1WFy3z9+OaOttdS11D23ELF8yXbb7Rl11GvT2g+ACEsHiGiWZACMPjT6uY2IbW8DziyphW7nFdP+XYCCCECKGtp+idtP+mNWQuhHA5TYTQdSmEUAQhNI8uqQhECFPRDIVXAiEsnF1bZ6ZVTBDC8G1NxuwRQAgRQnOvRQiFGcKvegszhMIMoXnkKMtAhDDjzY4Qhm9AhDA8U0vGtHK31J2Y+AgghAihubchhAhhrrMghAiheeAoz0CEMOPtjhCGb8C0igkzhOHbmozZI4AQIoTmXosQIoQIYdPHhRlC88hRloEIYcabHSEM34AIYXimloxp5W6pOzHxEUAIEUJzb0MIEUKEECE0DxjlHYgQZrz9EcLwDZhWMWGGMHxbkzF7BBBChNDcaxFChBAhRAjNA0Z5ByKEGW9/hDDdDZhWubRQy6qAZpm5pV3KPQYhRAjNn4GYhdCyq2mFtU51td7LrKiv88aI9bUThrgKw3N4pldTLK91Ra3/NRchXzvRUL3Ez8r6ShB/puXbjFZ6oypWW8MbowEVq6/pjatYY21vTMOq/jyapH41/yszZJXV/eVV+l9f4ZJUtM1q/vwF0m2Dfrx2wku7+ACEsHiGiWZACBPF7y08y3KCEHqbl4AECCCECKG521nly5LQkssQgxA2wkYIlzNACL/qDAihZQiKOgYhjJpwxPkRwogBF5keISwSYAGnZ5l5AZdbdqcghAihudMbBC1oLkN5CCFCmOtzCOFXJJghNA9DUQYihFHSjSE3QhgD5CKKyLKcMENYRMNzamQEEEKE0Ny5DIIWNJehPIQQIUQIW3zqEELzMBRlIEIYJd0YciOEMUAuogiEsAh4BZ6aZeYFXnJZnYYQIoTmDm8QtKC5DOUhhAghQogQmsedGAMRwhhhR1EUQhgF1XA5sywnzBCG6wdkCkcAIUQIzb3JIGhBcxnKQwgRQoQQITSPOzEGIoQxwo6iKIQwCqrpzJlVucyqWGovyCrzdPbgMLVCCBHCMD3pqywGiTOXZ8llidGxx7DLqGlXU8tOpHqBll1GLTGGnUgdT1OupX70Nf7dSjVJQ40/V4Ol7lae/prbI1ZZ1RtbsUpHf0xH/86gLsmq/lxSuYq3vAZDjC/J/AULpeuAndll1AcqwN8RwgAQk0yBECZJP96ysyonCGG8/aTUS0MIEcKgfdwoaKYyLbksMQihw216hQVC2MgKITR9RAlqmwBCmPHegRBmvAHzqD5CmAesQKFZZR7o8lOZBiFECIN2TKOgmcq05LLEIIQIYfMOxwwhM4SmAai4IISwOH6Jn40QJt4EsVUgq3LCDGFsXaQsCkIIEcKgHd0oaKYyLbksMQghQogQOgIsGTWNPEGCEMIgGJNLghAmxz7ukhHCuInzDGH8xP0lIoQIob+X5BFhFDRTRksuSwxCiBAihAihadAJF4QQhmOZSCaEMBHsiRSKEMaPPavM4ycVX4kIIUIYtLcZBc1UpiWXJQYhRAgRQoTQNOiEC0IIw7FMJBNCmAj2TBeaZclh+Wmmu16QyiOECGGQjpRvEovIWWKs5RpyhdqJVKtUUbfMX7P6Wm9MhSHGJamt8ecy1KnCsFup9foalvnrZNqJVAs07EbaYIhxda/s4GVlCrDmqaz0pjPVyVpeO6XNX7hI1tt2b54h9LZI8QEIYfEME82AECaKP5OFI4TJNFuWuSdDrPVSEUKEMJH+aBA0y2sgzHU3lIcQqsj6JQ4h/KrXWQUNITR/TEspECHMeGsihBlvwASqn2UxYYYwgQ6TsiIRQoQwkS5pEDSEcLmgMUPY2D0Ns3/MEPo/ycwQ+hmFikAIQ5FMKA9CmBD4DBeLECbTeFnmngwxZghbEsiN9zOqqqRz585papbSrwtCuFxyWDLKktHGjzpLRktvyEMIM96mCGHGGzCB6mdZTJghTKDDpKxIZgiZIUykSyKECOHyjocQIoSJjD8xFIoQxgA5yiIQwijplmZuhDCZds0y92SIMUPIDGGKeh5CiBAihE0fSGYIUzQ2BaoKQhgIZFJpEMKkyFOuWzaSYQxZnm20YM9y27R3fcwQMkNo6f/BYyxCaCk0VB4dfw1LOKW+3lKr5VNf/rgKw3NxlmWl7rvDshlMnWGJqmEnUgfAwMrG018nV16tIc7CUyXUGGdr6DBRJiEMUJR7hnD7H7LLaACWvhQIoY9Qyv+OEKa8gUq8elmWDoQwm50TIUQIE+m5BmEy1StUHoTQ4Ta9LgMhNHXNfIIQwnxoZSMWIcxGO7VZS4Qw4w2Y8eojhOltwCy3TXtUEUKEMJFPXSiRC5UHIUQIE/kgNBaKECYIP6KiEcKIwMaVFiGMizTltEYgy9LBDGE2+zRCiBAm0nNDiVyoPAghQpjIBwEhTBB7pEUjhAXinTp1qpx99tnyxBNPyJIlS2STTTaRW2+9VbbZZhuXsaGhQQYPHiw33XSTzJkzR3bYYQe57rrrZPPNN28qUf/7SSedJI888oj7b/vvv78MHz5c1llnHXOtEEIzKgIjIIAQRgA1UMost017CJISwjSM+bx2ItCHo5A0oUQuVB6EECEspB8HOocZwkAgU5QGISygMVTkttpqK9l9993luOOOk27dusmnn34qG220kfTv399lvPTSS2XIkCEyatQoJ4sXXXSRPP/88zJ+/Hjp1KmTi9l3331lypQpThr1GDhwoMsxevRoc60QQjMqAiMgkGXpYIYwgg4RQ8okhDAtYz5CGEMHa6uIUCIXKg9CiBAm+HFACBOEH1HRCGEBYM855xx56aWX5IUXXmj1bJ0d7NWrl5xyyiluFlGP6upq6d69uxPFY489Vj788EPZbLPN5JVXXnGzh3rov++0004ybtw42XTTTU01QwhNmAjKAIGsymWpi2Xauo6OeT169Ih117m0jPkIYdp6Y4v6BJQ9y66flpgKa50su5Eacpl2IlVshl0/LTGmnUG1PMuOpZbdPC31Vlk3sLJcn+thllyGj8byG35DVLpC5i9YJOtu/YNYx/t0EYivNghhAaxV5Pbee283u/fcc89J79695fjjj5djjjnGZZswYYKbKXzrrbfcTGLuOOCAA9xy0Ntvv11uu+02Oe2002Tu3Lkr1ED/PmzYMDnqqKNarZmKpf6TO/QGoW/fvlJVVSWdO3cu4Go4BQLpIIAQpqMd0l6LJIQwqTG/rfF+BuN9OrtpoBt3swQYyjOJiRM0/2snLGKCEDZ2TRN3o1xauFs+EAihhVL5xiCEBbT96quv7s5SofvZz34mr732mpsNHDFihPz617+WsWPHyi677CL6zInOFOYOXRI6ceJEGTNmjFx88cVuOelHH320Qg10eanK4LnnnttqzQYNGuSeTWx5IIQFNCSnpIoAQpiq5khtZZIQwqTG/LbGe4Qwpd3TIGjmmltyGWJMYoIQNkocM4Tm7hlXIDOEcZHWHzF0fSNHXgQ6duwo2267rRO/3KGbw7z++uvy8ssvNwnhtGnTpGfPnk0xOoM4efJkefLJJ50Q6kyhPlPY/Nh4443l6KOPFl2i1NrBDGFeTUVwhggghBlqrASrmoQQJjXmM0OYYEcrpGiDoJnTWnIZYhDCr4izZFRv+M3dLy2BCGF8LYEQFsB6ww03lD333FNuueWWprNvuOEGt3GMzgpGuWS0ZXV5hrCABuSUVBJACFPZLKmrVBJCmJYxn2cIU9cdV6yQQdDMV2DJZYhBCBHCXJ9DCM2fvrIMRAgLaPbDDz/czfQ131Tm1FNPlVdffdXNDuY2ldH/dtZZZ7kSampq3G6kLTeV0XO23357F6P/vuOOO7KpTAFtwinZJ4AQZr8N47iCJIQwLWM+QhhHDyuiDIOgmbNbchliEEKEECE0f+rKOhAhLKD5dWnozjvv7J7lO+SQQ9wzhLocVF8f8Ytf/MJlVPEbOnSojBw5UnQZqC4RffbZZ1d67YQuK9VnD/XQZwz1l2heO1FAo3BK5gkghJlvwlguIAkhTMuYjxDG0sUKL8QgaObkllyGGIQQIUQIzZ+6sg5ECAts/kcffdRt/PLxxx9Lv3793AYzuV1GNWXuxfQqe81fTD9gwICmEmfPnr3Si+mvvfZaXkxfYJtwGgSUQFbF0o0bNKGXQBJCqJVKw5iPEHq7R/oDDBJnvoiYc5nk0vCsnrs+Q91Nm7wY8rjyDDt6ml5hYdmNVb+HLBvUWOtuiTPEmNrP2vkM5VlTtRc3f8FCWW+L3XjtRAiYnhwIYQyQoyyCZwijpEvuLBJACLPYavY6JyWE9hpGF4kQRsc2tswhb6RjzmUSCoTQdSWEMMwnCiEMw9GSBSG0UEpxDEKY4sahaokQQAgTwR5boQhhF+G1E7F1t/AFxSxx5gsw1AshXE6TGcLGLmXoL+a+104gQhiCoi0HQmjjlNoohDC1TUPFEiKAECYEPqZiEUKEMKauFk0xIW+kY86FECKETR+KkH0PIYxmrMkzK0KYJ7C0hSOEaWsR6pM0AYQw6RaItnyEECGMtodFnD3kjXTMuRBChBAhjHh8SDA9Qpgg/BBFI4QhKJKjlAgghKXUmitfC0KIEGa6h8cscWZWhnohhAgh+6Pz7wAAIABJREFUQmj+RGUuECHMXJOtWGGEMOMNSPVTTSDLcmkBm8VdTRFChNDStzMfYxA00zWGyqOFGXKZpFFzWZ7Fs5Rn2c3TWHfL9Vl2K9XiTBwM1+faOBSrhoAjvrXupk7adpA+Q9h18x3ZZbRIjpbTEUILpRTHIIQpbhyqlnkCCGH6mhAhRAjT1ysjqFGoG+5QeYxSZRKhkJKDEDZ2PkM7L7/hD9dRDeWFKAwhDEHRlgMhtHFKbRRCmNqmoWIlQAAhTF8jIoQIYfp6ZQQ1CnXDHSqPWTrqbTBCzXohhAihrccR5SGAEGa8iyCEGW9Aqp9qAghh+poHIUQI09crI6hRKJELlQchbGxkwwvuNcw0U2ptm1DyzAxhBB/U0kmJEGa8LRHCjDcg1U81AYQwfc2DECKE6euVEdTIKgu+okPlQQgRwuZ9LWS/aqcPs2TU9wEP93eEMBzLRDIhhIlgp9AyIYAQpq+hEUKEMH29MoIahbrhDpUHIUQIEcIIPujpSYkQpqctCqoJQlgQNk6CQOwESl0u4wKqY173Hj3Kcte53Hg/o6pKOnfuHBdyykkrgZhlz4TBWCfTkkpLgZbllFaZtTyPaLw+yyYvphgLA+v1WetuKTNkrnZnCBfI1zbZuizHe0szhIxBCEPSTCAXQpgAdIqEQAEEEMICoLVyCkLIDGGYnlQCWULelIfKZcyDEC7vf0ZWpp5qyBWMuVFATfX2BM1fgBCG4GjJgRBaKKU4BiFMceNQNQg0I4AQhukOCCFCGKYnlUAWgwSYrzJULmOeYHLCDGFjExu4B2NuLM/c99oJRAhDULTlQAhtnFIbhRCmtmmoGARWIIAQhukQCCFCGKYnlUAWgwSYrzJULmOeYHKCECKE5k5OYHsEEMKM9w+EMOMNSPXLhgBCGKapEUKEMExPKoEsRvkyXWmoXMY8CKFtVs/UdsYZu2DMjeWZ684MYQhURedACItGmGwChDBZ/pQOASsBhNBKqv04hBAhDNOTSiCLUb5MVxoqlzFPMDlhhpAZQlMHJ8hHACH0EUr53xHClDcQ1YNAQgRKVUARQoQwoY9UNos1ClqwiwtZniGXWSyt4ugDYaiTS2GIW34D7ivN/ndDeZY62QsMGNlO3fUZwvX7D2CX0YC420qFEMYAOcoiEMIo6ZIbAtklgBBmt+3aqjmvnSi9No38iiyiELISIcsz5EIIv2o8AyuEMGRHL71cCGHG2xQhzHgDUn0IREQAIYwIbIJpEcIE4We1aIsohLy2kOUZciGECGHI7lvOuRDCjLc+QpjxBqT6EIiIAEIYEdgE0yKECcLPatEGqQp6aSHLM+RCCBHCoP23jJMhhBlvfIQw4w1I9SEQEQGEMCKwCaZFCBOEn9WiDVIV9NJClmfIhRAihEH7bxknQwgz3vgIYcYbkOpDICICCGFEYBNMixAmCD+rRRukKuilhSzPkAshRAiD9t8yToYQZrzxEcKMNyDVh0AZEQghqewyyi6jZfSRSdelGgTNXOGQuSyFGsozy6WlvFC7mmpZhrpbqhQsj6kwkRC7qM6fv3yX0X6bsMuokXkxYQhhMfRScC5CmIJGoAoQgICJAEJowtRmEDOExfHj7CIJhBKTkJJjvSRD3RFCK0xbHEJo45SWKIQwLS1RYD0QwgLBcRoEIBA7AYSwOOQIYXH8OLtIAgapMpcQMpelUEN5CKEFpD0GIbSzSkMkQpiGViiiDghhEfA4FQIQiJUAQlgcboSwOH6cXSQBg1SZSwiZy1KooTyE0ALSHoMQ2lmlIRIhTEMrFFEHhLAIeJwKAQjESgAhLA43QlgcP84ukoBBqswlhMxlKdRQHkJoAWmPQQjtrNIQiRCmoRWKqANCWAQ8ToUABGIlgBAWhxshLI4fZxdJwCBV5hJC5rIUaigPIbSAtMcghHZWaYhECAtohdraWhk0aJDcddddUlVVJT179pQjjzxS/vCHP0hlZaXL2NDQIIMHD5abbrpJ5syZIzvssINcd911svnmmzeVqP/9pJNOkkceecT9t/3331+GDx8u66yzjrlWCKEZFYEQSD0BqzA1pP5Koqugjnk9evSIdde5tIz5CGF0/YrMgQgYxCtQSY1pMlxeUAG1QA2586mlvAAxustotw36xTreB6h2JlMghAU025AhQ2TYsGFy++23O8F744035KijjpKLLrpITj75ZJfx0ksvFY0bNWqUbLLJJu5vzz//vIwfP146derkYvbdd1+ZMmWKk0Y9Bg4cKBtttJGMHj3aXCuE0IyKQAikngBC6G+iJIQwLWM+QujvH0QkTCDDgmYiF/D6EEI/cYTQzyhUBEJYAMn99ttPunfvLrfeemvT2T/5yU9kzTXXlDvuuMPNDvbq1UtOOeUUOfvss11MdXW1O0dF8dhjj5UPP/xQNttsM3nllVfc7KEe+u877bSTjBs3TjbddFNTzRBCEyaCIJAJAgihv5mSEMK0jPkIob9/EJEwgYDCZLqSDJeHEPpbGCH0MwoVgRAWQPKSSy6RG2+8UZ566ik3+/fuu+/KXnvtJVdffbX8/Oc/lwkTJkj//v3lrbfekq222qqphAMOOMAtB9WZxdtuu01OO+00mTt37go10L/r7KPOOFoOhNBCiRgIZIMAQuhvpySEMC1jPkLo7x9EJEwgw4JmIhfw+hBCP3GE0M8oVARCWABJnQE877zz3Gxfhw4dpK6uzi0PPffcc122sWPHyi677CJTp051M4W5Q5eETpw4UcaMGSMXX3yxW0760UcfrVADFUyVwVyultXTmUb9J3foDULfvn3ds4ydO3cu4Go4BQIQSAsBhNDfEkkIYVJjflvj/QzGe39HISIZAgGFyXQBGS4PIfS3MELoZxQqAiEsgOS9994rZ555plx++eXuGcJ33nnHLQ+96qqr5IgjjmgSwmnTprkNZ3LHMcccI5MnT5Ynn3zSCaHOFOozhc2PjTfeWI4++mg555xzWq2Zbmajm9W0PBDCAhqSUyCQMgIIob9BkhDCpMb8tsZ7hNDfT4hIiECGBc1ELOD1IYR+4gihn1GoCISwAJI6I6fCdsIJJzSdrZvG3Hnnne75vyiXjDJDWECDcQoEMkIAIfQ3VBJCmNSYzwyhvz8QkTICAYXJdGUZLg8h9LcwQuhnFCoCISyAZNeuXd2uoccdd1zT2UOHDpWRI0e6JaC5TWVOPfVUOeuss1xMTU2NdOvWbaVNZV599VXZfvvtXYz++4477simMgW0CadAAAIrErDIZRZfX5GEEKZlzOcZQj7lZUUgbtmzwE2iTkmUaWERQ4yOed17b8BrJ2JgjRAWAFnfOfj000/LiBEj3JLRt99+270y4je/+Y0TPj30f3OSqMtAdYnos88+u9JrJ3RZqebRQ3NsuOGGvHaigDbhFAhAACGMqg+kZcxHCKNqYfKmkkAaRSiJOiVRZko6BEIYX0MghAWwXrBggVxwwQXy4IMPyhdffOE2jtHdRS+88ELp2LGjy5h7Mb3KXvMX0w8YMKCpxNmzZ6/0Yvprr72WF9MX0CacAgEIIIRR9YG0jPkIYVQtTN5UEkijCCVRpyTKTEmHQAjjawiEMD7WkZTEayciwUpSCGSeAEtGM9+EK10AQlh6bcoVtUMgjSKURJ2SKDMlHRMhjK8hEML4WEdSEkIYCVaSQiDzBBDCzDchQlh6TcgV5UMgjSKURJ2SKDOfdoowFiGMEG6L1AhhfKwjKQkhjAQrSSGQeQIIYeabECEsvSbkivIhkEYRSqJOSZSZTztFGIsQRggXIYwPbhwlIYRxUKYMCEAgLQSS2GU0TdfepUsX4T2EaWkR6pEZAlmWqizXvcgO4oSwVx92GS2So+V0ZggtlFIcgxCmuHGoGgQgEJwAQogQBu9UJCx9AlmWqizXvciehRAWCTCP0xHCPGClMRQhTGOrUCcIQCAqAgghQhhV3yJvCRPIslRlue5FdimEsEiAeZyOEOYBK42hCGEaW4U6QQACURFACBHCqPoWeUuYQJalKst1L7JLIYRFAszjdIQwD1hpDEUI09gq1AkCEIiKAEKIEEbVt8hbwgSyLFVZrnuRXQohLBJgHqcjhHnASmMoQpjGVqFOEIBAVAQQQoQwqr5F3hImkGWpynLdi+xSCGGRAPM4HSHMA1YaQxHCNLYKdYIABKIigBAihFH1LfJCIBiBMpa4YAyXJ3JC2LMXu4yGhNpGLoQwBshRFoEQRkmX3BCAQNoIIIQIYdr6JPWBwEoEEMIgnQIhDILRlAQhNGFKbxBCmN62oWYQgEB4AgghQhi+V5ERAoEJIIRBgCKEQTCakiCEJkzpDUII09s21AwCEAhPACFECMP3KjJCIDABhDAIUIQwCEZTEoTQhCm9QQhhetuGmkEAAuEJIIQIYfheRUYIBCaAEAYBihAGwWhKghCaMKU3CCFMb9tQMwhAIDwBhBAhDN+ryAiBwAQQwiBAEcIgGE1JEEITpvQGIYTpbRtqBgEIhCeAEIYTwgZD81QYYgiBAARKiECKZBYhjK9fIYTxsY6kJIQwEqwkhQAEUkoAIUQIU9o1qRYESoMAQlga7ZjnVSCEeQJLWzhCmLYWoT4QgECUBBBChDDK/kVuCJQ9AYSwLLsAQpjxZkcIM96AVB8CEMiLAEKIEObVYQiGAATyI4AQ5serRKIRwow3JEKY8Qak+hCAQF4EEEKEMK8OQzAEIJAfAYQwP14lEo0QZrwhEcKMNyDVhwAE8iKAECKEeXUYgiEAgfwIIIT58SqRaIQw4w2JEGa8Aak+BCCQFwGEMJwQWsCzE6mFEjEQgEAUBNwuoz16yLx586Rz585RFEHOrwgghBnvCghhxhuQ6kMAAnkRQAgRwrw6DMEQgEBmCSCE8TUdQhgf60hKQggjwUpSCEAgpQQQQoQwpV2TakEAAoEJIISBgbaTDiGMj3UkJSGEkWAlKQQgkFICCCFCmNKuSbUgAIHABBDCwEARwviAxl0SQhg3ccqDAASSJIAQIoRJ9j/KhgAE4iOAEMbHmhnC+FhHUhJCGAlWkkIAAiklgBAihCntmlQLAhAITAAhDAyUGcL4gMZdEkIYN3HKgwAEkiSAEMYrhJa2tuxEqnkqLMmIgQAEIPAVAYQwvq7ADGF8rCMpCSGMBCtJIQCBlBJACBHClHZNqgUBCAQmgBAGBsoMYXxA4y4JIYybOOVBAAJJEkAIEcIk+x9lQwAC8RFACONjzQxhK6yff/55ufzyy+XNN9+U6dOny4MPPigHHnhgU2RDQ4MMHjxYbrrpJpkzZ47ssMMOct1118nmm2/eFKP//aSTTpJHHnnE/bf9999fhg8fLuuss05TzHvvvSe///3v5bXXXpP11ltPjj32WLngggukosK+sAYhjO/DQkkQgEDyBKIQwqyM+bnxfkZVVape0syS0eQ/F9QAAqVIACGMr1URwlZYP/HEE/LSSy/J1ltvLT/5yU9WEsJLL71UhgwZIqNGjZJNNtlELrroItEbivHjx0unTp1cxn333VemTJnipFGPgQMHykYbbSSjR492/187uZ67++67y/nnny8fffSRHHnkkfLHP/5RTj/9dHMPQAjNqAiEAARKgEAUQpiVMR8hLIEOzCVAAAJmAgihGVXRgQihB6HO1jWfIdTZwV69eskpp5wiZ599tju7urpaunfvLiqKOsv34YcfymabbSavvPKKmz3UQ/99p512knHjxsmmm24qN9xwg5x77rkyY8YMWW211VzMJZdc4mYRVSSts4QIYdGfARJAAAIZIhCFEDa//DSP+QhhhjoqVYUABIomgBAWjdCcACHMUwgnTJgg/fv3l7feeku22mqrprMPOOAAtxz09ttvl9tuu01OO+00mTt37grZ9e/Dhg2To446Sn7961/LvHnz5OGHH26Kefvtt92spJbRr18/UyMihCZMBEEAAiVCIG4hTNOYjxCWSCfmMiAAARMBhNCEKUgQQpinEI4dO1Z22WUXmTp1qpspzB26JHTixIkyZswYufjii91yUl0G2vzQJaIqgzozuNdee7klpLklpRo3bdo06d27t2gZOpvY2qGzkfpP7tAPS9++faUqZc+UBOmdJIEABCDQgkDcQpjkmN/WeJ+2ZwjppBCAAASiIIAQRkG19ZwIYYFCqPLWs2fPprOPOeYYmTx5sjz55JNOCHWmUJ8pbH5svPHGcvTRR8s555zjhFBnAUeMGNEUopLZp08fefnll2XHHXdstWaDBg1yG9q0PBDC+D40lAQBCCRHICkhTGLMb2u8RwiT63+UDAEIxEcAIYyPNUKYpxAmvXyIGcL4PhyUBAEIpI9A3EKY5JjPDGH6+h81ggAE4iOAEMbHGiHMUwhzm8qceuqpctZZZ7mza2pqpFu3bittKvPqq6/K9ttv72L033XWr/mmMuedd57bVKZjx44uRjelueaaa9hUJr7+T0kQgEDGCMQthGka89P6DGHGuhDVhQAEMkIAIYyvoRDCVlgvXLhQPvnkE/cX3Tjmqquucq+H0HcFbrDBBk7chg4dKiNHjhRdBqpLRJ999tmVXjuhS4xyS0L1GcMNN9yw6bUTuqGM7jb6/e9/X1QMP/74Y/faiQsvvJDXTsTX/ykJAhDIGIEohDArYz5CmLHOSnUhAIGiCCCEReHL62SEsBVcKncqgC2PI444wm0Wk3sxvcpe8xfTDxgwoOmU2bNnr/Ri+muvvXalF9OfcMIJ7sX06667rvzud79zQmh95YQWxi6jefV3giEAgYwTiEIIszLmI4QZ77xUHwIQyIsAQpgXrqKCEcKi8CV/MkKYfBtQAwhAID4CUQhhfLUvriTreF9RXDGcDQEIQCAVBBDC+JoBIYyPdSQlWW8QIimcpBCAAARiJoAQdvG+ZgghjLlTUhwEIBAJAYQwEqytJkUI42MdSUkIYSRYSQoBCKSUAEKIEKa0a1ItCEAgMAGEMDDQdtIhhPGxjqQkhDASrCSFAARSSgAhRAhT2jWpFgQgEJgAQhgYKEIYH9C4S0II4yZOeRCAQJIEEEKEMMn+R9kQgEB8BBDC+FgzQxgf60hK0tdXrLPOOu61FZ06dYqkDJJCAAIQSAuBBQsWuNf9zJ07V7p06ZKWasVSD+t4zzOEsTQHhUAAAhET0PH+G2U63keMdqX0CGHcxAOXN2HCBOnfv3/grKSDAAQgkG4CkydPlj59+qS7koFrx3gfGCjpIACBTBAox/E+7oZBCOMmHrg8/ZVc32E4adKkTP1arssA+vbtK/oh79y5c2Aq0abLat2zWm9tTeoebZ9uLXtamet7YPVX4169ekllZWX8YBIsMavjfZY/w2n9HFi6YVbrntV6Z7mfp7Xu5TzeWz7jIWMQwpA0E8iVe4ZQlxJlSayyWu/coKlL1WAeX4env8THOldSlpnHTyueErPcJlmte1brzXdVPJ/JlqXQX5LhTqnFE0AIi2eYaIasDj5ZrTdfssl0d/pL/NyzzDx+WvGUmOU2yWrds1pvvqvi+UwihMlwptTwBBDC8ExjzZjVL6us1psv2Vi7d1Nh9Jf4uWeZefy04ikxy22S1bpntd58V8XzmUQIk+FMqeEJIIThmcaasbq6WoYOHSrnnnuurLbaarGWXUxhWa23XnNW657VemeZeZbrnuX+UszYlOZzs9wmWa17VuvN2JPMJ5n+kgx3Si2eAEJYPEMyQAACEIAABCAAAQhAAAIQyCQBhDCTzUalIQABCEAAAhCAAAQgAAEIFE8AISyeIRkgAAEIQAACEIAABCAAAQhkkgBCmMlmo9IQgAAEIAABCEAAAhCAAASKJ4AQFs+QDBCAAAQgAAEIQAACEIAABDJJACHMZLM1Vvr666+Xyy+/XKZPny6bb765XH311fLd73431Vc0aNAgGTx48Ap17N69u1RVVaWu3s8//7zj++abbzrGDz74oBx44IFN9WxoaHDXctNNN8mcOXNkhx12kOuuu861RZKHr95HHnmk3H777StUUev+yiuvJFltt1vuAw88IOPGjZM11lhDdt55Z7n00ktl0003baqX7uB2xhlnyD333CNLliyRPfbYw30O+vTpk/q677bbbvLcc8+tUM9DDz1U7r333kTrfsMNN4j+8/nnn7t6aP+98MILZd9993X/P63ME4WWQOGM99FC942baR3vlYqv7oz5YfuO5buK8T4sc7JFTwAhjJ5xJCXcd9998qtf/crdDO+yyy4yYsQIueWWW+SDDz6QDTbYIJIyQyRVIfzHP/4hTz/9dFO6Dh06yPrrrx8ifdAcTzzxhLz00kuy9dZby09+8pOVhFBlZciQITJq1CjZZJNN5KKLLnJfzOPHj5dOnToFrUs+yXz11puDGTNmyMiRI5vSduzYUdZbb718igkeu88++8hhhx0m2223ndTW1sr5558v7733nuvTa621livvuOOOk9GjRzvmXbt2ldNPP11mz57tpF37UVKHpe56g6D95E9/+lNTNVV8u3TpklS1XbnKU9l94xvfcP9ffyzQH0LefvttJ4dpZZ4otJgLZ7yPHrhv3EzreK9kfHVnzA/bfxjvw/IkWzoIIITpaIe8a6EzOioq+st+7vjWt77lZrD016u0HiqEDz30kLzzzjtprWKr9aqoqFhBCPXX4l69eskpp5wiZ599tjtHZ1J0tlNvHI499thUXF/Lemul9OZg7ty5rh3SfMycOVO6devmZtV23XVXmTdvnvvh4I477hCdWdNj2rRp0rdvX3n88cdl7733Ts3ltKy7VkyFcMstt3Qz+Wk/9McBlcKf/vSnmWGedqbF1I/xvhh6+Z+b1fFer5QxP//2LvYMxvtiCXJ+GggghGlohTzrUFNTI2uuuab8/e9/l4MOOqjp7JNPPtmJVstlaXmmjzRchVBvNHVWZLXVVnPLLC+++GL5+te/Hmm5xSZv+SU7YcIE6d+/v7z11luy1VZbNaU/4IADZJ111llpSWax5Rd6fls3ByqDOiuodf3e977nZjpVvtJ0fPLJJ7Lxxhu7WcIBAwbIM88845aI6ozguuuu21TVLbbYwv0Q0nIpcpLX0rLuOSF8//33RX9M0B8OdEnmH//4x0Rnk1syqqurc+PKEUcc4WYIdSl3Vpgn2d5Rls14HyXd1nNndbxvTwgZ86PrR4z30bElc3wEEML4WAcrSWdFevfu7ZYz6nNWuUPFSpd76ZLFtB66tGXx4sVu6ZwuW9RllvrMmN4o6xLAtB4tbxDGjh3rlupOnTrVzRTmjoEDB8rEiRNlzJgxqbiU1oRQl5+tvfbasuGGG8pnn30mF1xwgVuiqcsuVdLTcKg0qVzrs5kvvPCCq9Ldd98tRx11lJuJbX7stdde0q9fP7dsOg1Ha3XXet18882unj169JD//ve/cu6557plmv/85z8Tr7ZK90477SRLly51fUNZ//CHP8wM88QBRlgBxvsI4baROqvjfVtCyJgfXR9ivI+OLZnjJYAQxss7SGm5GwSVEr2Jyx06y6PL6VSwsnIsWrTIzbSdddZZctppp6W22m3dIGhb9OzZs6nexxxzjEyePFmefPLJVFxLa0LYsmK6YY7KoW5ucvDBB6ei3ieccII89thj8uKLLzZtGNOWEO65556uD914442prXtrFVMB33bbbZ2I6/LvJA+dhZo0aZJbSnz//fe755F1pYGuOGhNwtPGPEl2UZfNeB814ZXzZ3W8b0sIGfOj60OtfVcx3kfHm8zREUAIo2MbWeYsLyFqDYreXOpMSfPnISODV2DirC4hsgihItGlmb/97W+bnocsEFOQ00488UT3fKNu0KMzarkjC0tG26p7a2D0l2WdkW3+TGQQgAGS/OAHP3CSrc9qsmQ0ANAiUjDeFwGvwFOzOt5bhZAxv8CO0eI0xvswHMmSDgIIYTraIe9a6LN322yzjdtlNHdsttlmbpldmjeVaXmhuvxPbzx1qaVudZ/Wo61NBk499VQ3u6mH3rjpc3hp31SmJeNZs2a5Jcj6+oxf//rXiTWBCpJ+werrPZ599lknqc2P3KYyd955pxxyyCHuTzq7qa+cSHpTGV/dW4Oqy0a//e1vN22akxj4VgpWCdTNev7yl7+4TWXSyDxNvKKuC+N91IRXzJ/V8d4qhIz5xfUnxvvi+HF2OgkghOlsF2+tctuQ6zI5XTaqN/P6jJI+i6fL/9J66DvkfvzjH7tXY3zxxRfuGUJdmqbPMKWt3gsXLhR9WFwP3Tjmqquukt133929nkHrr+Kn8q2vb1B50Wc4VWSSfu1Ee/XWuuvGPvoaDV3qqu+eO++889xywQ8//DDRDU6OP/5498zaww8/vMK7B3UDIn09gx76CoRHH33UvXZCr0X7k97cJP3aCV/dP/30U7nrrrvcc3lf+9rX3Ks09JUZel2vv/56oq/M0PbXDW5UABcsWOCWDl9yySVu2bPO3qeVeVrHuCjqxXgfBdUVc2Z1vNerYMyPvn80L4HxPl7elBYPAYQwHs6RlKKzg5dddpmbJdFdGIcNG+a250/zoe+Z06WAX375pZt52HHHHeXPf/6z6Oxm2g6VOxXAlofuwKhCkntRsW5m0vzF9NoWSR7t1VuX5eqOnLqDpD4vplKo16htoEKQ5KG/yrd2qHDrqzL00E1PzjzzTCeOzV9Mn/a663Olv/zlL91mMnrzpvX90Y9+5HYZTfr9j0cffbT861//cuOIyvd3vvMdt3RYZTDNzJPsq0mUzXgfLfWsjvdKhTE/2r7RMrvvu4rxPt72oLQwBBDCMBzJAgEIQAACEIAABCAAAQhAIHMEEMLMNRkVhgAEIAABCEAAAhCAAAQgEIYAQhiGI1kgAAEIQAACEIAABCAAAQhkjgBCmLkmo8IQgAAEIAABCEAAAhCAAATCEEAIw3AkCwRKioC+B/Cggw6Sp59+2r2HrvmhG9PoLmu6O+wvfvELt0GK/vuqq67qwnQHze2228589xbqAAAgAElEQVS95F7fsccBAQhAAALpJmAZ8999913ZYost2rwQ3WiNAwIQyCYBhDCb7UatIRApgdraWvduQt1pUt9B1/zQd6Lp3/VVDy+99JLstttu7v2B+lqOxYsXOxmsr6+XN954Q9Zaa61I60lyCEAAAhAonoBlzB87dqzbobr5MXPmTLeDsn5f6I+BHBCAQDYJIITZbDdqDYHICeh78nQ2MPc6Ai1Q31WorwgZPny4/P73v3d10Fef6GsK9IXy+ivz3/72N3n11VfdS9c5IAABCEAgGwSsY37uavQHQH1tkb5m4eWXX07du4SzQZ1aQiAdBBDCdLQDtYBA6gi8//777v2W+p7FgQMHuvqdddZZcs0118i0adOa3p+ny4R+/OMfu3fZ6XsCb7nlFtF323FAAAIQgEB2CFjHfL2iuro6905bfVxA3y285ZZbZudCqSkEILASAYSQTgEBCLRJYPvtt5cOHTq4X3/1BkCfF/zud78r99133wrn/OMf/5Cf/exn0qNHD5k4caJ07NgRqhCAAAQgkDEC1jH/mGOOkVGjRsljjz0me+21V8aukupCAAItCSCE9AkIQKBNArkNZPTZkAkTJsh+++0nTzzxhOyzzz5N5+iSUv11uFevXqK/MP/ud79zs4gcEIAABCCQLQKWMX/QoEEyePBgGTlypBx55JHZukBqCwEItEoAIaRjQAACbRKYO3eu9OzZU0466SQnhDpTOGnSJKmsrHTn6Kyh7kI6btw4eeedd+Suu+6SM844Q+6//363yygHBCAAAQhkh4BvzL/11lvlt7/9rfzpT3+SCy64IDsXRk0hAIF2CSCEdBAIQKBdAocffrh7PlBvFFT2hgwZ0hT/hz/8QYYOHSpPPfVU0+sp9t9/f3nhhRfkrbfekn79+kEXAhCAAAQyRKCtMV9/ENx1111Fd5q+4oorVrqiHXfcMUNXSVUhAIHmBBBC+gMEINAugX/+859Nz4h89NFHsvHGG7t4/e+6dFR/JdYlRLlj9uzZstVWW0n37t3lxRdf5HlC+hcEIACBDBFoa8zXZwaPOuqoNq+E9xBmqJGpKgRaEEAI6RIQgAAEIAABCEAAAhCAAATKlABCWKYNz2VDAAIQgAAEIAABCEAAAhBACOkDEIAABCAAAQhAAAIQgAAEypQAQlimDc9lQwACEIAABCAAAQhAAAIQQAhT0Aeuv/56ufzyy0Xf57b55pvL1Vdf7V7+zQEBCEAAAqVFgPG+tNqTq4EABCBQCgQQwoRb8b777pNf/epXojcJu+yyi4wYMUJuueUW0ReBb7DBBgnXjuIhAAEIQCAUAcb7UCTJAwEIQAACIQkghCFpFpBL3+ez9dZbyw033NB09re+9S058MAD3fvdOCAAAQhAoDQIMN6XRjtyFRCAAARKjQBCmGCL1tTUyJprril///vf5aCDDmqqycknnyzvvPOOPPfccyvVrrq6WvSf3FFfXy/63reuXbtKRUVFgldD0RCAAASiJ6DvOluwYIH06tVLKisroy8wUAmM94FAkgYCECgbAlkd77PYQAhhgq02bdo06d27t7z00kuy8847N9Xk4osvlttvv13Gjx+/Uu30BeCDBw9OsNYUDQEIQCB5ApMnT5Y+ffokXxFjDRjvjaAIgwAEINCCQNbG+yw2IEKYYKvlbhDGjh0rO+20U1NNhgwZInfccYeMGzdupdq1nCGcN2+ee9bwk48/lk6dOiV4NSVUdEO97WIMcRX1tf5cdXX+mOURFfXLvHEVyxZ7YyqXLvTGaED97Cpv3LIpn3hjZv/nQ2+MBkx+7iNv3NNvzfDGzFpm4+lNREATgXu23ddLo7Z6kTcmREBD3TKp++BvMnfuXOnSpUuIlLHkYLyPBXN0hRjGe1Phxjyhvjss3xta74rapd7qV9RYYmzjQP28Wd7y6ubO9MfM9n8naJKaeQu8uSwBa/S17e1Qsf2B3nTHPfaZN0YDHr7+VlNcqKC1u/mv8aB/3RmquHbz1Ei93CVTMzfexwIncCEIYWCg+aQrZAlRy/zz5893N0Uzqqqkc+fO+RRPbFsEjF/YYoizfakbpFG/sJffCPsOmxDavhjrZ03zFSfLJvklbtbb73vzaMDEZ1b+AaTliU++Pt2b68sahNALKc+Av+74Y+8ZtUttN4LeRJ6AhroaqX3vLtEfw7I05jHeF9vyCZ9vGO9NNTTmCfXdYfne0HrbhHCJ9xIraow/OM790purbs4X/phZ/h8uNUnN3PneXJaANTbYyBImFTv/1Bt35EMTvDEacP/V/9tjwnRCkUFrd/df4yFjbiuyFNvpKoQjZXLmxnvb1aUrCiFMuD10k4FtttnG7TKaOzbbbDM54IADTJvKIIQRNKDxCxshFIQwgu6XxpQIYZhWYbwPwzGRLNbvBV/ljHkQQhGEsLEzIYQIoW9YCfF3hDAExSJy5LYhv/HGG92y0Ztuukluvvlmef/992XDDTf0ZkYIvYjyDzB+YSOECGH+nSubZyCEYdqN8T4Mx0SyWL8XfJUz5kEIEcJcV0IIEULfsBLi7whhCIpF5tDZwcsuu8y9mH7AgAEybNgw2XXXXU1ZEUITpvyCjF/YCCFCmF/Hym40Qhiu7Rjvw7GMNZP1e8FXKWMehBAhRAiXL/VlyahvRAn2d4QwGMpkEiGEyXB3pVq+2A0xpi9+La/O/6xhRe3/XknSFpmKGv/GM3puZbX/WcP6L6d6G8DynKEm+fLtD7y5PnvKv0HNI2/ZnilZVNfgLY+ARgJVN93rRfH49Td5Y0IEZPUZwhDXzngfgmKEOQzjvbl0Sy5DTIXhe8PVybABWkW94fns5c/4Wo6KWn+cqTxDvV19KlfxVqt+df/GfPM7ruvNowFPfDLbG3fesKe9MRow478vmOJCBf3mnWdCpSo6D0JYNEJzAoTQjCqdgdwgJNguhi9jizQihI1tiBAm2Jc9RSOE6Wgbxvt0tEObtbB8J1gvwZLLEIMQfgUcIbT2PEEIzahKKhAhzHhzcoOQYAMavowRQtuyUoQwwX5sKBohNECKIYTxPgbIxRRh+U6w5rfkMsQghAihtcvl4hDCfImVRjxCmPF25AYhwQY0fBkjhAhhgj00WNEIYTCURSVivC8KX/QnW74TrLWw5DLEIIQIobXLIYT5kiqteIQw4+3JDUKCDWj4MkYIEcIEe2iwohHCYCiLSsR4XxS+6E+2fCdYa2HJZYhBCBFCa5dDCPMlVVrxCGHG25MbhAQb0PBljBAihAn20GBFI4TBUBaViPG+KHzRn2z5TrDWwpLLEIMQIoTWLocQ5kuqtOIRwoy3JzcIETSg4UvWXKohV9BNZeqWeatWscy4y+hS/y6jDfNmesurnfaZN0YDFn36iTdu+sv+nUg//dfn3jwa8MSMRaa4Ug762bfXN13ekN9e5Y17ceRIb4w1YNFj57QZOn/BQvnaN7eRefPmSefOna0pSyKO8b4kmtF2EYbvDlMiax5rnKnQQEGGjWBqpdJU2MKaem/czMX+nbxfmTLXm0cDbv/3p9641+690xsTMuA7Pz7UlG7bPx9riosjiF1G46DcWAZCGB/rSEriBiECrCG/GA25EMLGNkQII+jLnpQIYfzMiymR8b4Yehk71/DdYboiax5rnKnQQEEIYSCQjWkQwqA4Sy4ZQpjxJuUGIYIGDPnFaMiFECKEEfRiU0qE0IQpNUGM96lpiugrYvjuMFXCmscaZyo0UBBCGAgkQhgUZIkmQwgz3rDcIETQgCG/GA25EEKEMIJebEqJEJowpSaI8T41TRF9RQzfHaZKWPNY40yFBgpCCAOBRAiDgizRZAhhxhuWG4QIGjDkF6MhF0KIEEbQi00pEUITptQEMd6npimir4jhu8NUCWsea5yp0EBBCGEgkAhhUJAlmgwhzHjDcoMQQQOG/GI05EIIEcIIerEpJUJowpSaIMb71DRF9BUxfHeYKmHNY40zFRooCCEMBBIhDAqyRJMhhBlvWG4QImjAkF+MhlwIIUIYQS82pUQITZhSE8R4n5qmiL4ihu8OUyWseaxxpkIDBSGEgUAihEFBlmgyhDDjDcsNQgQNGPKL0ZArrUJYUW14LcPC2d4GqJsx2RujATWT/dt0z3rf/wqL6a9PNJU37t0Z3rhX5yz1xqQ14MRfDfBWbdFFf/XGaMD/HXCGKS5U0Mjb/tRmqsULF8jAXTfjtRNl9sqNUH2LPK0TaAgEps6YaFm9P7C61h+zaJn/dRJ6abOW+F/J9MEXC70Unv7wC2+MBrz22hRv3OcvPuKNCRnw5mPDTOmu672FKS6OIF47EQflxjIQwvhYR1ISQhgBVoPEmUs15EIIG2kihOZeZQpECE2YMhXEeJ+p5spUZf3qZbschLCRE0Jo6y++KITQRyjc3xHCcCwTycQNQgTYDRJnLtWQCyFECM39KY9AhDAPWBkJZbzPSENlsJoIoQgzhI0dlxnCDH6AA1QZIQwAMckU3CBEQN8gceZSDbkQQoTQ3J/yCEQI84CVkVDG+4w0VAariRAihLluixBm8AMcoMoIYQCISabgBiEC+gaJM5dqyIUQIoTm/pRHIEKYB6yMhDLeZ6ShMlhNhBAhRAgz+MENWGWEMCDMJFJxgxABdYPEmUs15EIIEUJzf8ojECHMA1ZGQhnvM9JQGawmQogQIoQZ/OAGrDJCGBBmEqm4QYiAukHizKUacqVWCGuWeC+zYtEcb0zdrCpvjAbUzpjkjVvwmX/H0rkf+WO0oFnjZ3rLm/Wx//pmLKn15tGADhX+sK9/Y11/0PKIbU7axxs3ba9TvTG7/HaEN0YD5k3+0BQXKujHvz+2zVTLliyS0SfuwS6j7DIaqruZ8oQSJlNhAYMMm3m60izXV2dIZtk9VMurMew+s8Swy+j86joTrUnz/N9nHxp2GX1+nP97Qys04UN/3PQPXjfVvXaJf/fTb+2xrzfXyyds7I3RgBN7fN8UF0cQm8rEQbmxDIQwPtaRlIQQRoDVIHHmUg25EMJGmgihCELY2BcQwtZHGMZ788gbPNAiTMELDZDQ4HCuFMv1IYQiCGGATplHCoQwD1hFhiKERQJM+nRuECJoAYPEmUs15EIIEcJcf0IIEcL2xhbGe/PIGzzQIkzBCw2QECFshMgMoQgzhAE+UCWcAiHMeONygxBBAxokzlyqIRdCiBAihCt+opghbH2EYbw3j7zBAxFCEWYImSEM/sHyJGSGMD7iCGF8rCMpiRuECLAaJM5cqiEXQogQIoQIoWVMYby3UIomBiFECLVnsWQ0ms9XW1kRwvh4I4TxsY6kJG4QIsBqkDhzqYZcCCFCiBAihJYxhfHeQimaGIQQIUQIo/lstZcVIYyPOUIYH+tISuIGIQKsBokzl2rIFbsQ1i41Vb/CsMtoZfUCb666OV94YzSg7svp3riaqinemIVTv/TGaMDCqf5d4JbOWezN1VBX743RgE591vPG9dh1O2+MBlTuPdAbd8YTn3hjbrroL96YJAIOOe34NotdtnzHvb8du3tZ7zJaVVUlndllNImuGVuZ1mf/fBWyiqxlOahhY1DT7qFaZ8suo4uW+cfW2UuW+RC4v0+e5//eGz/Tv5vn25/7d57W8qZOne+t18K5/p1PNcnqa3X05jp8L/8OoqeuN9GbRwN+/52jTXFxBCGEcVBuLAMhjI91JCUhhBFgNUicuVRDLoSwkSZCKIIQNvYFhLD1ESY33iOE5hE4s4EIoQhC2Nh9EcLJZfkDYNyDF0IYN/HA5SGEgYFqOoPEmUs15EIIEcJcf0IIEcL2xhaE0DzyZj4QIUQIc50YIUQI4xjQEMI4KEdYBkIYAVyDxJlLNeRCCBFChHDFTxQzhMwQmsfYEg1ECBFChHD50mKpl5GCEMYxzCGEBVIeOnSoPPDAAzJu3DhZY401ZOedd5ZLL71UNt1006aM1dXVcsYZZ8g999wjS5YskT322EOuv/566dOnT1PMpEmT5IQTTpBnnnnG5Tn88MPliiuukI4d/WvGNQlCWGADtneaQeLMpRpyIYQIIUKYbiFM23jPklHzCJzZQIQQIUQIEcI4BzCEsEDa++yzjxx22GGy3XbbSW1trZx//vny3nvvyQcffCBrrbWWy3rcccfJ6NGjZdSoUdK1a1c5/fTTZfbs2fLmm29Khw4dpK6uTrbccktZf/315corr5RZs2bJEUccIQcffLAMHz7cVDOE0IQpvyCDxJkTGnIhhAghQphuIUzbeI8QmkfgzAYihAghQogQxjmAIYT/3965gGlVXQd7DSiokYs3kJuIBEiURFHr9U8akoi1sWJiqzFNFWrFqo3XKKKVQIuiJRVbNYpNBOMl+iStF4yItfkR4y1Gjb9NvYaIIKBGLoLKAMP8s/bwTWeGmdnr+7599tln5j3Pk6dpWGftdd69z555Z5+zTyDa77//vvTr108ef/xx+eIXv+hegFXRu+OOO+SUU05xraxYsUKGDBkiDz/8sBx77LGyYMECOf7442XZsmUycOBAF3PPPffIhAkT5L333jPtIocQBurA5mkMEmdu1ZArqBBurfOXZt1ldLN/V7Zumz7ytle/Ya03RgMsu5FaYja9b9vVtHatf0e5uo2bvLV338m2mr/r0MZ7vKNjp0O+7Atx//527894465c8Jo35qfX3+KN0YD6rf7d/kyJjEFXXX95u5EbP1ovU792cK6bDOQ93yOExoFU4DCLEFp2ELXkcfNvvT/bFkOyzZatSBvaqzXEWTaVWWPcZfSdD2u9o2HZOv+un2+s8u+srQ0tX+3PtXGz4ed1Q65992pcZOjo+PahQ3wh8sWN/88bowHTDvXvYv2HTbbaTQ12EMQjo9UStJ+PENpZdRj55ptvyogRI9wq4ejRo90joPqIqK4I7rbbbk3nHnjggXLiiSfK9OnTZerUqfLAAw/ISy+91PTva9askd13392dP3bsWG91CKEXUfkBBokzJzXkQggbaVpkzxKDEDbyRAjNd2nZgXnP9whh2V1WuBMM7iV+hROx5HHzL0LY8GkKv8QhhI23EkJYuCnFWzBC6EXkD6hvmEjHjx8vKnNPPPGEO+Huu++WiRMnir5H2PwYN26cDBs2TObMmSOTJk2St956Sx599NEWMT179nSPmZ566qnbNa75mudUIdRVx3f5LpW/o6wRBomzprLsWIoQIoSl8cQKYSOJlFcIU5jvEULzDFzYQIvIIYQirBA2DnFWCAt7qydTOEIYoCt0U5if//zn8stf/rJpw5j2hPCYY46R4cOHyy233OKEcOnSpbJw4cIWVeiGMj/+8Y/dO4qtj2nTprnVxdYHQhigI0spEEJHooZHRoVHRhtvCh4Z/d/5JYX5HiEMON8nmgohtL1DiBAihInewoUrCyGsssu+853vyP333y+LFy92K3+lI6tHRlkhrLLDLKcjhAjhtnGCECKEzaeMVOZ7hNAykRc7BiFECEsjmHcI+exEjNkMIayQsj42pL8c3HfffbJo0SL3/mDzo7SpzJ133iknn3yy+6eVK1e6FcTWm8osX75cBgwY4GLuvfdet9Mom8pU2DEhTkMIEUKEsMWd1NVXCFOb7xHCEBN92jkQQoQQIWSX0ZizFEJYIe1zzjnHvSeom8I0//Zgnz593PcE9dDPTjz00EPufUDdKEa/Saiflmj92Yn+/fvLrFmz3AY0usOobjrDZycq7JgQp0UWQst7hnpZNXVb/Fe31R9Ts8W/25prz/DIaM1m/0v43Qwx2l7dug+817fVEFO3fo03jwbUf+zfLa6+4dMwvqPbzv4d4DTHDgP29aWSmv0O8sZowDs79vfG3fP/Vnlj7jLsRKpJfv/0//Xm2rLRv2vrfl/4mjePBsw+6/B24z7asF5OOnRE1F1GU5vvEULTMEoyyCJ61sIt7xDWGRs0bPpp2nhmkyVRwwVu3OKv/pMt/t2NrY+M/uHjzV6sK9f7fzau+tC/+7Y2tHqDP1f3bjXemjRgv367euO+PGwPb8xnt7ztjdGAV6dc5o278e7femNCBLDLaAiKthwIoY3TdlE1NW3fyHPnznVSp8fGjRvlkksuceLY/MP0uglM6dAP0+svG60/TK8by1gOdhm1UCozBiF0wBDCBmlECN1Y6OpCmNp8jxCWOacnFG70M1PFfqVq+EObsUGLx1l2IkUIG7sOITQNYW8QQuhFFCwAIQyGMp9ECGEG3BFChHDbsEIIG0F0dSHMYJapKGVpvkcIK8KXxElGPzPVihDadxllhVCEFULTbdVlgxDCgnc9QphBByKECCFC2OLGQggzmGcqSIkQVgAtsVMQwsYO4ZFRER4Z9d+crBD6GYWKQAhDkcwpD0KYAXiEECFECBHCDKaWalMihNUSzP98hBAhLI1ChNB/PyKEfkahIhDCUCRzyoMQZgAeIUQIEUKEMIOppdqUCGG1BPM/HyFECBFC+32IENpZVRuJEFZLMOfzEcIcO8AijqFiGi6zxpJryyYvkJqt/p0zNUnNFv9uajWb/Tup1Wz+2FuTC9j4kTdu64a1/phP/Hk0Sb2hPW9jyqnHTpYw6b7XIG9c/Z5DvTEasHZn/y6jL6z07/r52Ovvm9p7/vf+nVvrDb/pHjVqL1N73x7TPqsN6z+Uw0YOibrLqKnoCEEIYQTIGTdhuE3MFcR+h3Czofgthhg33Rt2Ga2t8+8y+uFG28+z1Rv9u4x+8LH/5+e6jf6dvPX6NtT643rs0M3U1/139W8y+Pn+vby5Rn7KX5P72fjUz7y5XrvtPm/Mc4+95Y3RgLc62AG2tuH3nu9vfqtLzvcmeAGDEMKAMPNIhRDmQX1bmxZBCxXT0CRCKIIQNo49hBAh7N27d46TH01XSsDoS6b0CKEIQtg4VBBC0y1DUAcEEMKCDw+EMMcODCV7ljwIoetohBAhZIWwj7DLaI7zfpVNI4SNAFkhFGGFsHEssEJY5aQS6HSEMBDIvNIghHmRb2jXInKhYhBChLDZUGeFkBVCVghznPuraBohRAhLwwchRAirmEqCn4oQBkcaNyFCGJd3i9ZCyZ4lD0KIECKEjgArhKwQ5jjrV900QogQIoQtbyNWCKueVoIkQAiDYMwvCUKYH3tWCBvea2RTGTaV2XYLsqlM9nMRm8pkzzjrFhBChBAhRAiznmcqyY8QVkItoXMQwhw7w7KyFyqGFUJWCFkhZIXwww+lTx9WCHOc9atuGiFECBFChLDqiSSDBAhhBlBjpkQIY9Ju1ZZF9izlGfPUbDVsGV3nj7F+dkLq/Ftw11hiDKuIisn0eYraT7xEt1o/J7HFvw15fZ1/S/OanrbPTnTrvbu/9l1tn2XY1GuAN9fKDf7r+/1a/6dFtKFVG/yfF/EW1BAwqJeN1ag9d2433foGKfrsvoO65DbkrBBaRlnaMUUWwrp6/76mm+v8MdpDtYY4y8YzG7f4P02h7a0zfAZizSf+OXPDJv/PWG3PwqFbjW2s9tlpR2/gPn38c+s+fXp482hA349XeuPq33zBG7PxjZe9MW4srGn/E0nrN9bK8Ctu7pLzvQlewCCEMCDMPFIhhHlQ39amUeS8FRrzIIT6kwMh1PGEECKEbCrjnVmTDEAIG7sFIRRBCLeNBYQwibkKIUyiGyovAiGsnF3VZxpFztuOMQ9CiBCWxhJCiBAihN6ZNckAhBAhLA1MhBAhTGmSQghT6o0KakEIK4AW6hSjyHmbM+ZBCBFChFCER0Z5h9A7pyYcgBAihAhhyxuUR0bTmLAQwjT6oeIqEMKK0VV/olHkvA0Z8yCECCFCiBCyqYx3Rk06ACFECBFChDDFSQohTLFXyqgJISwDVuhQo8h5mzXmQQgRQoQQIUQIvTNq0gEIIUKIECKEKU5SCGGKvVJGTQhhGbBChxpFztusNY8hrsawy6jp+4kNRdfU+XdcM+1EusW/W6kysrRXs8W/K6Ylj7ZXv9lfV/1Wwy6jO9h2bpOeu3iHwtadenljNGDrp/bwxn0kPb0xH27yX58m+Xizfyc/yy+6O+/QzVuTBuy2U/d243TOGzZ4QJfcdY5dRk3DJ+kgy31ivQDLfp51xgb9d7jIFkOuOkuihgvcZNhldJMh2UZDHuW5odY/16037CD68WZ/Hm2v1rj7qaWvd9mx/fmwdP6eu/h/Du25yw6W5mQPQ9wum9d7c3X7eI03xv3s39L+LtYfrt8ge3zu/3TJ+d4EL2AQQhgQZh6pEMI8qG9r0yBopuqseQxxCKFNLLVfEEIRhNB0hyYThBAm0xUVF2JwKnNuhFAEIWwcLgih+bYhsB0CCGHBhwZCmGMHGgTNVJ01jyEOIUQIS2OOFULT3VeoIISwUN3VZrEIYSMWVgjtY5kVQlYI7aOl8kiEsHJ2SZyJEObYDQZBM1VnzWOIQwgRQoTQdNcVMgghLGS3tSgaIUQIyx3FCCFCWO6YqSQeIayEWkLnIIQ5doZB0EzVWfMY4hBChBAhNN11hQxCCAvZbQhhG93GCqF9LCOECKF9tFQeiRBWzi6JMxHCHLvBIGim6qx5DHEIIUKIEJruukIGIYSF7DaEECGsauAihAhhVQPIeDJCaASVahhCmGrPbKvLIHHWXT8tV2r6NMVW4zZwW7d4m6wx7MJp2YlUG6ox7EZq2kHUULdrzxJn6b8a286Z9d39u8DV99jZy1wD6nvs6o2z7Fhau7XGm0cDLBs31Bt2uOhuQyUd7Uaqc96gAXt3yV3nEELTcE06KPYjo9b26gw3sGXHUuOmn6YdS22riIaJp2FE1BoK+9iw67J1l9HNhp+zhpLcWO5umKYt0thnpx1N98andvRP1JaYnjsYCnfX136cznlDBnbN+d7UWQGDEMKAMPNIhRDmQb2MNi1CYYkxNmmSHMMPKtecQZgQQjVL/w9PJ3EIoSCExhu5nTCEsDp+KZxtFTRLrRYVsraHEDZ8XgchdMPOInuWGITQcswjSJkAACAASURBVBenE4MQptMXFVWCEFaELd5JFtmzxBgrRghtIqs4TawsfYMQutFpWGBACI33cXthCGGVABM43SpollIRQttupcqSFUIRVggtd1XXjUEIC973CGHiHWgRCkuM8TJNksMKoaNpYmXpG4QQITTen9WGIYTVEsz/fISwsQ8sH7nnkdFGVjwyyiOjMWYuhDAG5QzbQAgzhBsitUUoLDHGWkySgxAihNvGE+8QGm+sRMIQwkQ6oooyEEKEsDR8eIewJLy8Q1jFlBLsVIQwGMp8EiGE+XA3t2qRPUuMsUGEsAGU4d1HxWliZekbVgjd6OSRUeNNWkUYQlgFvERORQgRQoSw5c3IpjJpTE4IYRr9UHEVCGHF6OKcaBEKayWWXIaYGkOMK6nOv8uoZYdU08Yzrr1NXhImibPUrUJoMRgrK2/lDcLUrbs/agf/TqROvnbYyZurfoee/pgd/Xlc14h/4xzLX7u72Tadk47CdM4byC6j0rt3b2//EpAegVSFsN4wH1ruccvmNNormw3Jthg2xN5sBGp5/NSSa+OWOtOgqjUUb0BgakuDdjRMrjtanj1tyLXzDv6fVT0MuQwh7vpqOthldP36D2XM8MFdcldpc+cHCkQIA4CcOXOmXH755XL++efL9ddf7zLW1tbKd7/7XfnJT34in3zyiXzlK1+RH/zgBzJ48OCmFt9++20599xz5Re/+IXsvPPO8q1vfUu+//3vS48etl8KNRFCGKADs0wRUCgs8mWJQQgbOxwhbBBLhLCiuz+vOZ8Vwoq6K6mTjP5iqjnkpjIIYYOkGjoHIWwcmgih6RYtVBBCWGV3Pffcc3LyySe7v9aOHTu2SQjPPvtsmT9/vsybN0/22GMPufjii2X16tXy/PPPS/fu3aWurk4OOugg2WuvveSf//mf5YMPPpDTTz9dvvGNb8gNN9xgrgohNKPKJxAhbHg00/YXVVYIG4YoK4SNst7B3Zr3CmGecz5CmM80HrJVg3OYm0MIbRKnQFkhbFhFNC7ZsUJovgU7VSBCWEV3btiwQQ4++GC38jdjxgwneLpCuG7dOid6d9xxh5xyyimuhRUrVsiQIUPk4YcflmOPPVYWLFggxx9/vCxbtkwGDhzoYu655x6ZMGGCvPfee+bHgRDCKjowxqkIIUK4bZzxyKiI4ammpIUw7zkfIYwxaWfbBkLYyJdHRhsexbcYvXE48sioERRh7RJACKsYHLqit/vuu8vs2bPlS1/6UpMQ6iOg+oiorgjutttuTS0ceOCBcuKJJ8r06dNl6tSp8sADD8hLL73U9O9r1qxx+fR8XW1s69BHUfU/pUN/QVDRfHfVKrNEVnHJnFouAYQQIUQIm+6aogth7Dm/vfl+FfN9uTNxMvEIIUJYGowIYSMJ3iFMY3pCCCvsB13N01XBX//617LTTju1EMK7775bJk6c2ELctJlx48bJsGHDZM6cOTJp0iR566235NFHH21RQc+ePd1jpqeeemqblU2bNs0JZesDIaywI7M+DSFECBHCTiGEecz57c33CGHWE3d2+RFChBAhbHl/IYTZzTflZEYIy6G1LVYf8zz00EOdzOmqnx7NVwjbE8JjjjlGhg8fLrfccosTwqVLl8rChQtbVKAbyvz4xz+Wb37zm21WxgphBR2W+ikJSqP7q52lLsuOnpY82p7lXUPLJyXM7Rl2UY08duq77WBrsbt/46mgj6ga2hPD5zdCPCGlT0XsvXfcDxXnNeezQmi7HTpjVChxtN5zlvYsO4jWWRI1dJhldcySy7CZpxselg1jLO8ZWhi49gwXuNn4TWBjmPc26ObfLNrl2NEQuIPhcY8ONg/11loK2NCwy+iRo/Zhl1EzscoDEcIK2N1///3y9a9/3W0OUzp0kxj9K0e3hhtJJe+rX/1qJo+Mti6Xdwgr6MDUTjEKjKlsSy5LDEJowh06CCH0E81DCFOZ83mH0D8+OkuE0au8l4sQNiJCCBve4UYIvfdLVw5ACCvo/fXr17vVveaHPiL6mc98RiZPnuze6dNNZe688063A6keK1eudJ+caL2pzPLly2XAgAEu5t5773U7jbKpTAWdUuRTjIJmukRLLksMQmjCHToIIfQTzUMIU5nzEUL/+OgsEQhhwyqiAQIrhPYRjxDaWXXFSIQwUK83f2RUU+pnJx566CH3PqBuFKPfJNRPS7T+7ET//v1l1qxZbjVRdxjVTWf47ESgTilKGqOgmS7HkssSgxCacIcOQgj9RPMQwraqymPORwj946OzRBhcyHSprBA2YmKFkBVC0w3ThYMQwkCd3/qXg40bN8oll1wi+j5h8w/T6+ph6dAP059zzjnbfZheN5axHjwyaiWVcJxR0ExXYMlliUEITbhDByGEfqKpCmGMOR8h9I+PzhKBELJCWBrLvEPIO4Qx5jWEMAblDNtACDOEGyu1UdBM5VhyWWIQQhPu0EEIoZ9oKkLorzR8BEIYnmmqGRFChBAhFGFTmXgzFEIYj3UmLSGEmWCNm9QoaKaiIucKthOpXpyh9oYJy4/BkMclsexY6m8tbIRhp07XoCHOtMuocVfT+u6G3U8NNVnq9l2fznn9I+8yGraTK8+GEFbOrmhnpiiE9Yb5d6sRtOX9QMNGnbLFCKrOUJjlsVLrLqOWuiw1uR+NBqYWnoY0LqS7YQdRS64aS5AnRoXwqM+wQhgApTcFQuhFlHYAQph2/5iqswqMJVnkXAihpVPKiLFIFUKIEPJh+jJuqmKGGj3He3EWmdAklvYQQv1cho0oQtjwd0vv6PQHIIR+RqEiEMJQJHPKgxDmBD5ks5Elzly6oS6E0EzTFogQNnLqgAMrhH2ED9PbbqciR1kEzXJ9Nn1BCJUlK4SNI4oVQsud1fliEMKC9ylCWPAO1PIN4mW+ysi5EEJzz9gCEUKEsIORwiOjttuoM0QhhLaP11tW4nQ8WB7PRAgRws4wd1R6DQhhpeQSOQ8hTKQjqikjssSZSzXUhRCaadoCEUKEECG03SudPAohRAhLQ9yyyss7hJ18QohweQhhBMhZNoEQZkk3Um6DeJkriZwLITT3jC0QIUQIEULbvdLJoxBChBAhbNxllE1l4kx2CGEczpm1ghBmhjZe4sgSZ74wQ10IoZmmLRAhRAgRQtu90smjEEKEECFECGNOcwhhTNoZtIUQZgA11ZQGQTOVHiqPNmbIZZJGzWX5+q6hPUtN2lzQT1iYwBuCjEJYX2PYv82SyxKj3cxnJwydl30I7xBmz7hILYSSRjeVGy7c0p5lJ1JtyvJJia2GHT0teVx7huItuezvLPqJGr6E4XrF8v5jvakHDZ2sP4r9pdsSBYjiO4QBIBpTIIRGUKmGIYSp9kwGdVlkyNJsqDzutwj/jzSE0NIp22KsgoYQyrp166R3795lwC1+KEJY/D4MeQUhf3G3OIClPYSwsYctAur/6VnK5R81CKGfEREdE0AICz5CEMKCd2A55Rvky5QuVB6E0IS7rCCEsBEXn51oc9gghGXdTZ0+2CJoVggIoW3VkhVC64gKE8cKYRiOliwIoYVSwjEIYcKdE7q0UCIXKg9CGLqHOxSh5o3xyOjerBB2sdXR8Ddb8TMihDaJ0562rNjxyGjjPRFyXFV7lyGE1RK0n48Q2lklGYkQJtkt2RQVSuRC5UEIw/czK4SNTFkhbHNssUIY/pYrcsaQv7izQmiTS1YI494xCGE83ghhPNaZtIQQZoI1zaShRC5UHoQw/DhBCBHCDkYVQhj+lityRoTQJnHax6wQ2kd6yHFlb7XtSISwWoL28xFCO6skIxHCJLslv6Iiy57pQo01mTef8TVq2a3UKLO+pty/G6/PlMsohMFydetmSlVvqStUjFbECmGb/YIQmoZrlwmK/Yt7qFVEN20G2kHUshOpE0JD8YaSGvIYEjkB9Q9Day5LP1t4GkryF70twojBnK+9QBXCQ0cM6ZKvCFQNr8wECGGZwFILRwhT65Gc6wkpJ6FyGfMghB2LUNkjyyJoCGHZWPM8ASHMk356bVtEIWTVFhWy1mQRGIvEIYSNPWzhiRCGvBs6Xy6EsOB9ihAWvANDl2+UL1OzoXIZ8yCECGHTuGSFsM1bFCE0zVxdJsgqX6GAIIS60mihwAphqDHHCmEokv48CKGfUdIRCGHS3RO/OKN8mQoLlcuYByFECBHCju9MhNA0c3WZIIRQd8Q0CpohzJIKISytSMa5zRDCOJy1FYQwHutMWkIIM8Fa3KRG+TJdYKhcxjwIIUKIECKEprmJIEcAIUQIS7cCj4wyKVRLACGslmDO5yOEOXdAas0b5ctUdqhcxjwIIUKIECKEprmJIIRw2xhghbARBELIpFAtAYSwWoI5n48Q5twBRWzeKGjBLs3anjXOU1gwsXR/gg/5Gn4woiLGzWB8LZp2D/UlKf27ZRMbS4zm4x3CNqnzyKh1MBJXIhByFdHw1KUZvKWukJJj+eyE5fosdSuEUO25H0OGwiyPu24VQyInl+ZuDBLY0fWtb9hldMzwwewyGoR0x0kQwgiQs2wCIcySbifNHUi8zHSs7VnjEEKEcO+9u+QvCAihedYhcBsBi0xYYYX0BEtdCGFjz9hY+XsRIfQz6soRCGHBex8hLHgH5lF+IPEyl25tzxqHECKECKH07t3bfAsS2HUJWGTCSgchtMmZ8mSF0DqqOmbKCqGdY7WRCGG1BHM+HyHMuQOK2Hwg8TJfurU9axxCiBAihAiheQLq2oEIYWP/hxI0K89Q7bFCyCOjsWYwhDAW6YzaQQgzAtuZ0wYSLzMia3vWOIQQIUQIEULzBNS1A60CY6HECiErhJZxUm4M7xCWSyybeIQwG67RsiKE0VB3noYCiZcZiLU9axxCiBAihAiheQLq2oEIISuEpTuAdwi79lzgu3qE0Eco8X9HCBPvoCKXF0jQzAhCtRcqj7lwW6Bl99Ogu35ayrLu+plQLp3z+iOECKFlTBJjJhBKHFNcRVQIlv2iLbtrWj9zYeFgZR6qLktN1gFjrd2ar7249Q3z/QHDBnXJTcSqZVfu+QhhucQSi0cIE+uQzlRObLEK1V6oPIH7EiEsAyifnWgTFruMljGGCC2LQKhf8GNLh2UnUoSwcSjE7puyBmA7wQhhCIq2HAihjVOyUQhhsl1T/MJii1Wo9kLlCdyDCGEZQBFChLCM4UJo9QQQQtv391ghbBxrocaLb+QihD5C4f4dIQzHMpdMCGEu2LtGo7HFKlR7ofIE7mWEsAygCCFCWMZwIbR6AqF+wY+9CsUKYUnQ/OT9EfZxFGq8+FpECH2Ewv07Qlghy3feeUcmT54sCxYskE8++URGjhwpP/rRj+SQQw5xGXWSmj59utx6662yZs0aOfzww+Wmm26SAw44oKlF/d/PO+88efDBB93/dsIJJ8gNN9wgffv2NVeFEJpREVgugdhiFaq9UHnK5eWJRwjLAJqgEKYw5/PIaBljiNCyCIT6BT+2dCCECGFZA53gdgkghBUMDhW5MWPGyNixY+Xss8+Wfv36ye9+9zvZd999Zfjw4S7jtddeK1dddZXMmzfPyeKMGTNk8eLF8tprr0mvXr1czHHHHSfLly930qjHpEmTXI758+ebq0IIzagILJdAbLEK1V6oPOXyQgjDEUtMCFOZ8xHCcEOMTC0JIIQ8MlrOPRFqvPjaZIXQRyjcvyOEFbC87LLL5Mknn5QnnniizbP1L1YDBw6UCy64wK0i6lFbWyv9+/d3onjWWWfJK6+8Ivvvv78888wzbvVQD/3vRx55pLz66qsyatQoU2UIoQkTQXkSiC1osdvLk22stkPtRhogTx67jKYy5yOEsQY87bRFIKQEhFpJDFqTYTtPy26lys6QquE9PBsFW5R/zIZl5W8vRIQK4cihA9llNARM7x+trevtEYopShMqcscee6xb3Xv88cdl0KBBcs4558iZZ57pLmHJkiVupfCFF15wK4mlY/z48e5x0Ntvv11uu+02ueiii2Tt2rUtLlv/ffbs2TJx4sQ2cahY6n9Kh/6CMGTIEHl31Sq2IS/KAOpqdcYWtNjtdYX+DCByDlOAPHkIYV5zfnvz/Srm+65w1yV3jUGFItDVBa3JIGgIYWPHGVAF6WGEMAhGUxJWCE2YWgbttNNO7n9QofuLv/gL+dWvfuVWA+fMmSOnnXaaPPXUU3L00UeLvnOiK4WlQx8JXbp0qSxcuFCuvvpq9zjp66+/3iK5Pl6qMjhlypQ2K5s2bZp7N7H1gRBW0JGcEodAbEGL3V4civm2EkDkiiyEec357c33CGG+t0NXbT2ofAWCGLQmg+UghAhhoKGbXBqEsIIu6dGjhxx66KFO/EqHbg7z3HPPydNPP90khCtWrJABAwY0xegK4rJly+SRRx5xQqgrhfpOYfNjxIgRcsYZZ4g+otTWwQphBR3GKfkSiC1osdvLl26c1ru4EOY157NCGGd404qNQFD5sjXpjQpaE0Lo5V0KMKAy5+ookBXCIBhNSRBCE6aWQUOHDpVjjjlGfvjDHzb9w8033+w2jtFVwSwfGW1dLu8QVtCBnBKXQGxBi91eXJr5tNbFhTCVOZ93CPMZ/rTaSCCofAWCGrQmg+WwQtjYcQZUQXoYIQyC0ZQEITRhahn0rW99y630Nd9U5sILL5Rnn33WrQ6WNpXR/+3SSy91J2/atMntRtp6Uxk957DDDnMx+t+POOIINpWpoE84JWECsQUtdnsJow9WWhcXwlTmfIQw2IgmUQUEgspXBe23dUrQmgyWgxAihIGGbnJpEMIKukQfDT3qqKPcu3wnn3yye4dQHwfVz0f85V/+pcuo4jdz5kyZO3eu6GOg+ojookWLtvvshD5Wqu8e6qHvGOpfovnsRAWdwinpEogtaLHbS5d8uMq6uBCmMucjhOGGNJnKJxBUvspvvs0zgtaEEJp7xYDKnKujQFYIg2A0JUEITZi2D3rooYfcxi9vvPGGDBs2zG0wU9plVKNLH6ZX2Wv+YfrRo0c3JVu9evV2H6a/8cYb+TB9hX3CaQUn0NlFLuT1hRK0kEMmUk157DKqmFKY8xHCkAOWXFkQCClolvpCfZJB27LUHnJjfutqo4lDQBDWz2FY6qo2RoVwvyF8dqJajpbzEUILpYRjeIcw4c6htPIIhBSm8lqOEx3y+iLJV1lgItWUlxCWxSKjYIQwI7CkDUbAIlXBGmtIFNCDEMJtHYMQhhyhxcmFEBanr9qsFCEseAdS/v8SCClMKXINeX2R5KssjJFqQgj7CJ+dKGtkEhyRAEJoh80KoZ8VK4R+RqEiEMJQJHPKgxDmBJ5mwxMIKUzhq6s+Y8jriyRfZV10pJoQQoSwrHFJcFQCCKEdN0LoZ4UQ+hmFikAIQ5HMKQ9CmBN4mg1PIKQwha+u+owhry+SfJV10ZFqQggRwrLGJcFRCSCEdtwIoZ8VQuhnFCoCIQxFMqc8CGFO4Gk2PIGQwhS+uuozhry+SPJV1kVHqgkhRAjLGpcERyWAENpxI4R+Vgihn1GoCIQwFMmc8iCEOYGn2XQJhBSvdK8ybmWRZM9yUQghQmgZJ8SkTaDI4mghG/L6Qu5saqrdEhQpRuf7fQcNkHXr1knv3r0jtdo1m0EIC97vCGHBO5DywxNACMMzRQjDM60gI7uMVgCNU5IkEFKYLBcYcjdSS3shrw8hRAgtY67aGISwWoI5n48Q5twBNJ8eAYQwfJ8ghOGZVpARIawAGqckSSCkMFkuECG0UGqMCfkoq73VtiNZIayWoP18hNDOKslIhDDJbqGoPAkghOHpI4ThmVaQESGsABqnJEkAIbR3CyuErBDaR0vlkQhh5eySOBMhTKIbKCIlAghh+N5ACMMzrSAjQlgBNE5JkgBCaO8WhBAhtI+WyiMRwsrZJXEmQphEN1BESgQQwvC9gRCGZ1pBRoSwAmickiQBhNDeLQghQmgfLZVHIoSVs0viTIQwiW6gCAhAIBIBdhlll9FIQ41mCkAgtlhakRT5nUXrNcaI0/l+yMC92WU0AmyEMALkLJtACLOkS24IQCA1AgghQpjamKSe/AgghI3sU+VQ7chACKslaD8fIbSzSjISIUyyWygKAhDIiABCiBBmNLRIW0ACqYoQK4RhBhNCGIajJQtCaKGUcAxCmHDnUBoEIBCcAEKIEAYfVCQsLAGEkBXCwg7exApHCBPrkHLLQQjLJUY8BCBQZAIIIUJY5PFL7WEJIIQIYdgR1XWzIYQF73uEsOAdSPkQgEBZBBBChLCsAUNwpyaAECKEnXqAR7w4hDAi7CyaQgizoEpOCEAgVQIIIUKY6tikrmITQC7T6z+d7wcNYJfRGD2DEMagnGEbCGGGcEkNAQgkRwAhRAiTG5QU1CkIIITpdSNCGK9PEMJ4rDNpCSHMBCtJIQCBRAkghAhhokOTsgpOACFMrwMRwnh9ghDGY51JSwhhJlhJCgEIJEoAIUQIEx2alFVwAghheh2IEMbrE4QwHutMWkIIM8FKUghAIFECCCFCmOjQpKyCE0AI0+tAhDBenyCE8Vhn0hJCmAlWkkIAAokSQAgRwkSHJmUVnABCmF4HIoTx+gQhjMc6k5YQwkywkhQCEEiUAEKIECY6NCkLAk0EUpXLonWRzvcD2WU0SrchhFEwZ9cIQpgdWzJDAALpEUAIEcL0RiUVQaAlAYQwzIhACMNwtGRBCC2UEo5BCBPuHEqDAASCE0AIEcLgg4qEEAhMACEMAxQhDMPRkgUhtFBKOAYhTLhzKA0CEAhOACFECIMPKhJCIDABhDAMUIQwDEdLFoTQQinhGIQw4c6hNAhAIDgBhBAhDD6oSAiBwAQQwjBAEcIwHC1ZEEILpYRjEMKEO4fSIACB4AQQQoQw+KAiIQQCE0AIwwBFCMNwtGRBCC2UWsVs2bJFpk2bJnfddZesWrVKBgwYIBMmTJC///u/l27durno+vp6mT59utx6662yZs0aOfzww+Wmm26SAw44oCmb/u/nnXeePPjgg+5/O+GEE+SGG26Qvn37mqtCCM2oCIQABDoBgTyEMJU5vzTf68+d3r17d4Le5BIgAIFYBIooqQhhrNEhghBWwPqqq66S2bNny+233+4E79e//rVMnDhRZsyYIeeff77LeO2114rGzZs3T0aOHOn+bfHixfLaa69Jr169XMxxxx0ny5cvd9Kox6RJk2TfffeV+fPnm6tCCM2oCIQABDoBgTyEMJU5HyHsBAOYS4BATgQQwpzAF6RZhLCCjjr++OOlf//+8qMf/ajp7JNOOkl22WUXueOOO9zq4MCBA+WCCy6QyZMnu5ja2lp3joriWWedJa+88orsv//+8swzz7jVQz30vx955JHy6quvyqhRo0yVIYQmTARBAAKdhEAeQpjKnI8QdpJBzGVAIAcCCGEO0AvUJEJYQWddc801csstt8ijjz7qVv9eeuklGTdunFx//fVy6qmnypIlS2T48OHywgsvyJgxY5paGD9+vHscVFcWb7vtNrnoootk7dq1LSrQf9fVR11xtBwIoYUSMRCAQGchkIcQpjLnI4SdZRRzHRCITwAhjM+8SC0ihBX0lq4AXn755W61r3v37lJXV+ceD50yZYrL9tRTT8nRRx8t77zzjlspLB36SOjSpUtl4cKFcvXVV7vHSV9//fUWFahgqgyWcrUuT1ca9T+lQ39BGDJkiLzLOyUV9CSnQAACRSOQhxDmNee3N9/zDmHRRi31QiB/Aghh/n2QcgUIYQW9c88998gll1wis2bNcu8Q/uY3v3GPh1533XVy+umnNwnhihUr3IYzpePMM8+UZcuWySOPPOKEUFcK9Z3C5seIESPkjDPOkMsuu6zNynQzG92spvWBEFbQkZwCAQgUjkAeQpjXnN/efI8QFm7YUjAEcieAEObeBUkXgBBW0D26IqfCdu655zadrZvG3Hnnne79vywfGWWFsIIO4xQIQKDTEMhDCPOa81kh7DTDlguBQO4EEMLcuyDpAhDCCrpnjz32cLuGnn322U1nz5w5U+bOneseAS1tKnPhhRfKpZde6mI2bdok/fr1225TmWeffVYOO+wwF6P//YgjjmBTmQr6hFMgAIGuQSAPIUxlzucdwq4xxrlKCECgkYDOeXvvvbesW7eOT+1kPCgQwgoA6zcHH3vsMZkzZ457ZPTFF190n4z467/+ayd8euj/LUmiPgaqj4guWrRou89O6GOlmkcPzTF06FA+O1FBn3AKBCDQNQjkIYSpzPkIYdcY41wlBCCAEMYeAwhhBcTXr18vV155pdx3333y3nvvuY1jdHfRqVOnSo8ePVzG0ofpVfaaf5h+9OjRTS2uXr16uw/T33jjjXyYvoI+4RQIQKBrEMhDCFOZ8xHCrjHGuUoIQAAhjD0GEMLYxAO3x2cnAgMlHQQgkDSBPIQwFSAIYSo9QR0QgEAMAjwyGoNyYxsIYTzWmbSEEGaClaQQgECiBBDCPsIuo4kOTsqCAASCEkAIg+LsMBlCGI91Ji0hhJlgJSkEIJAoAYQQIUx0aFIWBCAQmABCGBhoB+kQwnisM2kJIcwEK0khAIFECSCECGGiQ5OyIACBwAQQwsBAEcJ4QGO3hBDGJk57EIBAngQQQoQwz/FH2xCAQDwCCGE81qwQxmOdSUsIYSZYSQoBCCRKACFECBMdmpQFAQgEJoAQBgbKCmE8oLFbQghjE6c9CEAgTwIIIUKY5/ijbQhAIB4BhDAea1YI47HOpCWEMBOsJIUABBIlgBAihIkOTcqCAAQCE0AIAwNlhTAe0NgtIYSxidMeBCCQJwGEECHMc/zRNgQgEI8AQhiPNSuE8Vhn0hJCmAlWkkIAAokSQAgRwkSHJmVBAAKBCSCEgYGyQhgPaOyWEMLYxGkPAhDIkwBCiBDmOf5oGwIQiEcAIYzHmhXCeKwzaQkhzAQrSSEAgUQJIIQIYaJDk7IgAIHABBDCe3HDmQAAFuRJREFUwEBZIYwHNHZLCGFs4rQHAQjkSQAhRAjzHH+0DQEIxCOAEMZjzQphPNaZtIQQZoKVpBCAQKIEEEKEMNGhSVkQgEBgAghhYKCsEMYDGrslhDA2cdqDAATyJIAQIoR5jj/ahgAE4hFACOOxZoUwHutMWkIIM8FKUghAIFECCCFCmOjQpCwIQCAwAYQwMFBWCOMBjd0SQhibOO1BAAJ5EkAIEcI8xx9tQwAC8QgghPFYs0IYj3UmLSGEmWAlKQQgkCgBhBAhTHRoUhYEIBCYAEIYGCgrhPGAxm4JIYxNnPYgAIE8CSCECGGe44+2IQCBeAQQwnisWSGMxzqTlhDCTLCSFAIQSJQAQogQJjo0KQsCEAhMACEMDJQVwnhAY7eEEMYmTnsQgECeBBBChDDP8UfbEIBAPAIIYTzWrBDGY51JSwhhJlhJCgEIJEoAIUQIEx2alAUBCAQmgBAGBsoKYTygsVtCCGMTpz0IQCBPAgghQpjn+KNtCEAgHgGEMB5rVgjjsc6kJYQwE6wkhQAEEiWAECKEiQ5NyoIABAITQAgDA2WFMB7Q2C0hhLGJ0x4EIJAnAYQQIcxz/NE2BCAQjwBCGI81K4TxWGfSEkKYCVaSQgACiRJACBHCRIcmZUEAAoEJIISBgbJCGA9o7JYQwtjEaQ8CEMiTAEKIEOY5/mgbAhCIRwAhjMeaFcJ4rDNpqSSEq1atkt69e7fbRk0mrZMUAhCAQFwCCGEfedcz39fH7RJagwAEIJAJAYQwE6xtJkUI47HOpCWEMBOsJIUABBIlgBAihIkOTcqCAAQCE0AIAwPtIB1CGI91Ji0hhJlgJSkEIJAoAYQQIUx0aFIWBCAQmABCGBgoQlge0MWLF8usWbPk+eefl5UrV8p9990nJ554YlOS+vp6mT59utx6662yZs0aOfzww+Wmm26SAw44oClG//fzzjtPHnzwQfe/nXDCCXLDDTdI3759m2Jefvll+bu/+zv51a9+JbvvvrucddZZcuWVV0pNjf0BT4SwvL4lGgIQKDaBLISwKHO+9Z1xHhkt9hineghAoJEAQhhvJLBC2AbrBQsWyJNPPikHH3ywnHTSSdsJ4bXXXitXXXWVzJs3T0aOHCkzZswQ/YXitddek169ermMxx13nCxfvtxJox6TJk2SfffdV+bPn980yPXcsWPHyhVXXCGvv/66TJgwQb73ve/JxRdfbB4BCKEZFYEQgEAnIJCFEBZlzkcIO8EA5hIgAAEzAYTQjKrqQITQg1BX65qvEOrq4MCBA+WCCy6QyZMnu7Nra2ulf//+oqKoq3yvvPKK7L///vLMM8+41UM99L8feeSR8uqrr8qoUaPk5ptvlilTpsi7774rPXv2dDHXXHONW0VUkbSuEiKEVd8DJIAABApEIAshbH75Kc/5CGGBBiqlQgACVRNACKtGaE6AEJYphEuWLJHhw4fLCy+8IGPGjGk6e/z48e5x0Ntvv11uu+02ueiii2Tt2rUtsuu/z549WyZOnCinnXaarFu3Th544IGmmBdffNGtSmobw4YNM3UiQmjCRBAEINBJCMQWwpTmfISwkwxiLgMCEDARQAhNmIIEIYRlCuFTTz0lRx99tLzzzjtupbB06COhS5culYULF8rVV1/tHifVx0CbH/qIqMqgrgyOGzfOPUJaeqRU41asWCGDBg0SbUNXE9s6dDVS/1M69GYZMmSI+D47YR0t9rcXrRmJgwAEIBCOQGwhzHPOb2++9312wkqbdw2tpIiDAATyIIAQxqOOEFYohCpvAwYMaDr7zDPPlGXLlskjjzzihFBXCvWdwubHiBEj5IwzzpDLLrvMCaGuAs6ZM6cpRCVz8ODB8vTTT8sRRxzRZmXTpk1zG9q0PhDCeDcNLUEAAvkRyEsI85jz25vvEcL8xh8tQwAC8QgghPFYI4RlCmHejw+xQhjv5qAlCEAgPQKxhTDPOZ8VwvTGHxVBAALxCCCE8VgjhGUKYWlTmQsvvFAuvfRSd/amTZukX79+220q8+yzz8phhx3mYvS/66pf801lLr/8crepTI8ePVyMbkrzr//6r5lsKmMdUjwyaiVFHAQgkAeB2EKY0pxvfYfQ2i88MmolRRwEIJAHAYQwHnWEsA3WGzZskDfffNP9i24cc91117nPQ+i3AvfZZx8nbjNnzpS5c+eKPgaqj4guWrRou89O6CNGpUdC9R3DoUOHNn12QjeU0d1Gv/zlL4uK4RtvvOE+OzF16tRMPjthHVIIoZUUcRCAQB4EshDCosz5CGEeI442IQCBvAgghPHII4RtsFa5UwFsfZx++ulus5jSh+lV9pp/mH706NFNp6xevXq7D9PfeOON232Y/txzz3Ufpt9tt93kb//2b50QWj85oY1Zdxm1DimE0EqKOAhAIA8CWQhhUeZ8hDCPEUebEIBAXgQQwnjkEcJ4rDNpKbQQWopEGi2UiIEABLIgkIUQZlFnFjlDC6GlRh4rtVAiBgIQyIIAQpgF1bZzIoTxWGfSEkKYCVaSQgACiRJACPtIqF1GLV2MEFooEQMBCGRBACHMgipCGI9qxJYQwoiwaQoCEMidAEKIEOY+CCkAAhCIQgAhjILZNcIKYTzWmbSEEGaClaQQgECiBBBChDDRoUlZEIBAYAIIYWCgHaRDCOOxzqQlhDATrCSFAAQSJYAQIoSJDk3KggAEAhNACAMDRQjjAY3dkn6+om/fvu6zFb169YrSPJvKRMFMIxCAQBsE1q9fL59u+NzP2rVrpU+fPl2KUWm+fzPifM87hF1qiHGxEEiKgM73+nm3rjjfx+4IVghjEw/c3pIlS2T48OGBs5IOAhCAQNoEli1bJoMHD067yMDVMd8HBko6CECgEAS64nwfu2MQwtjEA7enfzXRbxi+/fbbhfpruT4GMGTIENGbvHfv3oGpZJuuqLUXtW7tTWrPdky3lT1V5vodWP2r8cCBA6Vbt27xweTYYlHn+yLfw6neB5ZhWNTai1p3kcd5qrV35fneco+HjEEIQ9LMIVfpHUJ9lKhIYlXUukuTpj6qBvN4A57xEo91qaUiM49PK06LRe6TotZe1Lr5WRXnnmzdCuMlH+60Wj0BhLB6hrlmKOrkU9S6+SGbz3BnvMTnXmTm8WnFabHIfVLU2otaNz+r4tyTCGE+nGk1PAGEMDzTqBmL+sOqqHXzQzbq8G5qjPESn3uRmcenFafFIvdJUWsvat38rIpzTyKE+XCm1fAEEMLwTKNmrK2tlZkzZ8qUKVOkZ8+eUduuprGi1q3XXNTai1p3kZkXufYij5dq5qaUzy1ynxS19qLWzdyTz53MeMmHO61WTwAhrJ4hGSAAAQhAAAIQgAAEIAABCBSSAEJYyG6jaAhAAAIQgAAEIAABCEAAAtUTQAirZ0gGCEAAAhCAAAQgAAEIQAAChSSAEBay2ygaAhCAAAQgAAEIQAACEIBA9QQQwuoZkgECEIAABCAAAQhAAAIQgEAhCSCEhey2xqJ/8IMfyKxZs2TlypVywAEHyPXXXy9f+MIXkr6iadOmyfTp01vU2L9/f1m1alVydS9evNjxff755x3j++67T0488cSmOuvr69213HrrrbJmzRo5/PDD5aabbnJ9kefhq3vChAly++23tyhRa3/mmWfyLNvtlvsf//Ef8uqrr8rOO+8sRx11lFx77bUyatSoprp0B7fvfve78pOf/EQ++eQT+cpXvuLug8GDBydf+5e+9CV5/PHHW9R5yimnyD333JNr7TfffLPof9566y1Xh47fqVOnynHHHef+/1SZ5woth8aZ77OF7ps3U53vlYqvdub8sGPH8rOK+T4sc7JlTwAhzJ5xJi3ce++98ld/9Vful+Gjjz5a5syZIz/84Q/lf/7nf2SfffbJpM0QSVUIf/azn8ljjz3WlK579+6y1157hUgfNMeCBQvkySeflIMPPlhOOumk7YRQZeWqq66SefPmyciRI2XGjBnuB/Nrr70mvXr1ClpLOcl8desvB++++67MnTu3KW2PHj1k9913L6eZ4LF/8id/It/85jflj/7oj2TLli1yxRVXyMsvv+zG9Kc+9SnX3tlnny3z5893zPfYYw+5+OKLZfXq1U7adRzldVhq118QdJz8wz/8Q1OZKr59+vTJq2zXrvJUdp/+9Kfd/69/LNA/hLz44otODlNlniu0yI0z32cP3DdvpjrfKxlf7cz5YccP831YnmRLgwBCmEY/lF2FruioqOhf9kvHZz/7WbeCpX+9SvVQIbz//vvlN7/5TaoltllXTU1NCyHUvxYPHDhQLrjgApk8ebI7R1dSdLVTf3E466yzkri+1nVrUfrLwdq1a10/pHy8//770q9fP7eq9sUvflHWrVvn/nBwxx13iK6s6bFixQoZMmSIPPzww3Lssccmczmta9fCVAgPOuggt5Kf+qF/HFAp/PM///PCME+daTX1Md9XQ6/8c4s63+uVMueX39/VnsF8Xy1Bzk+BAEKYQi+UWcOmTZtkl112kZ/+9Kfy9a9/vens888/34lW68fSykyfabgKof6iqasiPXv2dI9ZXn311bLffvtl2m61yVv/kF2yZIkMHz5cXnjhBRkzZkxT+vHjx0vfvn23eySz2vYrPb+9Xw5UBnVVUGv94z/+Y7fSqfKV0vHmm2/KiBEj3Crh6NGj5Re/+IV7RFRXBHfbbbemUg888ED3h5DWjyLneS2tay8J4W9/+1vRPyboHw70kczvfe97ua4mt2ZUV1fn5pXTTz/drRDqo9xFYZ5nf2fZNvN9lnTbzl3U+b4jIWTOz24cMd9nx5bM8QgghPFYB2tJV0UGDRrkHmfU96xKh4qVPu6ljyymeuijLR9//LF7dE4fW9THLPWdMf1FWR8BTPVo/QvCU0895R7Vfeedd9xKYemYNGmSLF26VBYuXJjEpbQlhPr42a677ipDhw6V3//+93LllVe6RzT1sUuV9BQOlSaVa30384knnnAl3X333TJx4kS3Etv8GDdunAwbNsw9Np3C0VbtWte//du/uTr33ntv+e///m+ZMmWKe0zzP//zP3MvW6X7yCOPlI0bN7qxoaz/9E//tDDMcweYYQHM9xnCbSd1Uef79oSQOT+7McR8nx1bMsclgBDG5R2ktdIvCCol+ktc6dBVHn2cTgWrKMdHH33kVtouvfRSueiii5Itu71fELQvBgwY0FT3mWeeKcuWLZNHHnkkiWtpSwhbF6Yb5qgc6uYm3/jGN5Ko+9xzz5Wf//zn8stf/rJpw5j2hPCYY45xY+iWW25Jtva2ClMBP/TQQ52I6+PfeR66CvX222+7R4n//d//3b2PrE8a6BMHbUl4aszzZJd128z3WRPePn9R5/v2hJA5P7sx1NbPKub77HiTOTsCCGF2bDPLXORHiNqCor9c6kpJ8/chM4NXYeKiPkJkEUJFoo9m/s3f/E3T+5AVYgpy2ne+8x33fqNu0KMraqWjCI+Mtld7W2D0L8u6Itv8ncggAAMk+epXv+okW9/V5JHRAECrSMF8XwW8Ck8t6nxvFULm/AoHRqvTmO/DcCRLGgQQwjT6oewq9N27Qw45xO0yWjr2339/95hdypvKtL5QffxPf/HURy11q/tUj/Y2Gbjwwgvd6qYe+oubvoeX+qYyrRl/8MEH7hFk/XzGaaedllsXqCDpD1j9vMeiRYucpDY/SpvK3HnnnXLyySe7f9LVTf3kRN6byvhqbwuqPjb6uc99rmnTnNzAt9GwSqBu1vMv//IvblOZFJmnxCvrWpjvsybcMn9R53urEDLnVzeemO+r48fZaRJACNPsF29VpW3I9TE5fWxUf5nXd5T0XTx9/C/VQ78h92d/9mfu0xjvvfeee4dQH03Td5hSq3vDhg2iL4vroRvHXHfddTJ27Fj3eQatX8VP5Vs/36Dyou9wqsjk/dmJjurW2nVjH/2Mhj7qqt+eu/zyy93jgq+88kquG5ycc8457p21Bx54oMW3B3UDIv08gx76CYSHHnrIfXZCr0XHk/5yk/dnJ3y1/+53v5O77rrLvZe35557uk9p6Ccz9Lqee+65XD+Zof2vG9yoAK5fv949OnzNNde4x5519T5V5qnOcVnUxXyfBdWWOYs63+tVMOdnPz6at8B8H5c3rcUhgBDG4ZxJK7o6+E//9E9ulUR3YZw9e7bbnj/lQ78zp48C/uEPf3ArD0cccYT84z/+o+jqZmqHyp0KYOtDd2BUISl9qFg3M2n+YXrtizyPjurWx3J1R07dQVLfF1Mp1GvUPlAhyPPQv8q3dahw66cy9NBNTy655BInjs0/TJ967fpe6be//W23mYz+8qb1fu1rX3O7jOb9/cczzjhD/uu//svNIyrfn//8592jwyqDKTPPc6zm0TbzfbbUizrfKxXm/GzHRuvsvp9VzPdx+4PWwhBACMNwJAsEIAABCEAAAhCAAAQgAIHCEUAIC9dlFAwBCEAAAhCAAAQgAAEIQCAMAYQwDEeyQAACEIAABCAAAQhAAAIQKBwBhLBwXUbBEIAABCAAAQhAAAIQgAAEwhBACMNwJAsEIAABCEAAAhCAAAQgAIHCEUAIC9dlFAwBCEAAAhCAAAQgAAEIQCAMAYQwDEeyQAACEIAABCAAAQhAAAIQKBwBhLBwXUbBEIAABCAAAQhAAAIQgAAEwhBACMNwJAsEIAABCEAAAhCAAAQgAIHCEUAIC9dlFAwBCEAAAhCAAAQgAAEIQCAMAYQwDEeyQAACEIAABCAAAQhAAAIQKBwBhLBwXUbBEIAABCAAAQhAAAIQgAAEwhBACMNwJAsEIAABCEAAAhCAAAQgAIHCEUAIC9dlFAwBCEAAAhCAAAQgAAEIQCAMAYQwDEeyQAACEIAABCAAAQhAAAIQKBwBhLBwXUbBEIAABCAAAQhAAAIQgAAEwhBACMNwJAsEIAABCEAAAhCAAAQgAIHCEUAIC9dlFAwBCEAAAhCAAAQgAAEIQCAMAYQwDEeyQAACEIAABCAAAQhAAAIQKBwBhLBwXUbBEIAABCAAAQhAAAIQgAAEwhBACMNwJAsEIAABCEAAAhCAAAQgAIHCEUAIC9dlFAwBCEAAAhCAAAQgAAEIQCAMAYQwDEeyQAACEIAABCAAAQhAAAIQKBwBhLBwXUbBEIAABCAAAQhAAAIQgAAEwhBACMNwJAsEIAABCEAAAhCAAAQgAIHCEUAIC9dlFAwBCEAAAhCAAAQgAAEIQCAMAYQwDEeyQAACEIAABCAAAQhAAAIQKBwBhLBwXUbBEIAABCAAAQhAAAIQgAAEwhBACMNwJAsEIAABCEAAAhCAAAQgAIHCEUAIC9dlFAwBCEAAAhCAAAQgAAEIQCAMAYQwDEeyQAACEIAABCAAAQhAAAIQKBwBhLBwXUbBEIAABCAAAQhAAAIQgAAEwhBACMNwJAsEIAABCEAAAhCAAAQgAIHCEUAIC9dlFAwBCEAAAhCAAAQgAAEIQCAMAYQwDEeyQAACEIAABCAAAQhAAAIQKBwBhLBwXUbBEIAABCAAAQhAAAIQgAAEwhBACMNwJAsEIAABCEAAAhCAAAQgAIHCEUAIC9dlFAwBCEAAAhCAAAQgAAEIQCAMAYQwDEeyQAACEIAABCAAAQhAAAIQKBwBhLBwXUbBEIAABCAAAQhAAAIQgAAEwhBACMNwJAsEIAABCEAAAhCAAAQgAIHCEUAIC9dlFAwBCEAAAhCAAAQgAAEIQCAMAYQwDEeyQAACEIAABCAAAQhAAAIQKBwBhLBwXUbBEIAABCAAAQhAAAIQgAAEwhBACMNwJAsEIAABCEAAAhCAAAQgAIHCEfj/6rbopBQvylwAAAAASUVORK5CYII=\" width=\"900\">"
      ],
      "text/plain": [
       "<IPython.core.display.HTML object>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# Plot preparation\n",
    "# Initialize animated plot\n",
    "plt.ion()\n",
    "fig5 = plt.figure(figsize=(9,6))\n",
    "f1 = fig5.add_subplot(2, 2, 1)\n",
    "f2 = fig5.add_subplot(2, 2, 2)\n",
    "f3 = fig5.add_subplot(2, 2, 3)\n",
    "f4 = fig5.add_subplot(2, 2, 4)\n",
    "f1.set_title('curl')\n",
    "f2.set_title('div')\n",
    "f3.set_title('vx')\n",
    "f4.set_title('vz')\n",
    "\n",
    "curlp = f1.imshow(curl[pml:m-pml,pml:m-pml].transpose(), interpolation='nearest', animated=True,\n",
    "                   vmin=-2.5e-11, vmax=2.5e-11, cmap=plt.cm.RdBu,extent=[0,(m-2*pml)*dx,(n-2*pml)*dz,0],aspect = 'auto')\n",
    "divp = f2.imshow(vol[pml:m-pml,pml:m-pml].transpose(), interpolation='nearest', animated=True,\n",
    "                   vmin=-2.5e-11, vmax=2.5e-11, cmap=plt.cm.RdBu,extent=[0,(m-2*pml)*dx,(n-2*pml)*dz,0],aspect = 'auto')\n",
    "vxp = f3.imshow(vx[pml:m-pml,pml:m-pml].transpose(), interpolation='nearest', animated=True,\n",
    "                   vmin=-2.5e-10, vmax=2.5e-10, cmap=plt.cm.RdBu,extent=[0,(m-2*pml)*dx,(n-2*pml)*dz,0],aspect = 'auto')\n",
    "vzp = f4.imshow(vz[pml:m-pml,pml:m-pml].transpose(), interpolation='nearest', animated=True,\n",
    "                   vmin=-2.5e-10, vmax=2.5e-10, cmap=plt.cm.RdBu,extent=[0,(m-2*pml)*dx,(n-2*pml)*dz,0],aspect = 'auto')\n",
    "plt.show()\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {
    "scrolled": true
   },
   "outputs": [],
   "source": [
    "for tt in range(1,nt):\n",
    "\n",
    "    # Inject source wavelet (explosion)\n",
    "       \n",
    "    sxx[xscr,zscr]=sxx[xscr,zscr]+s[tt]   \n",
    "    szz[xscr,zscr]=szz[xscr,zscr]+s[tt]\n",
    "    \n",
    "    # Free surface\n",
    "    szz[:,pml-1]=0.\n",
    "    sxz[:,pml-1]=0.\n",
    "               \n",
    "    # Update velocity\n",
    "    vx1=((1-0.5*dt*ddx)*vx1+(dt/rho)*d('x',sxx,'-'))/(1+0.5*dt*ddx)  \n",
    "    vx2=((1-0.5*dt*ddz)*vx2+(dt/rho)*d('z',sxz,'-'))/(1+0.5*dt*ddz)\n",
    "    vx = vx1+vx2\n",
    "    \n",
    "    vz1=((1-0.5*dt*ddx)*vz1+(dt/rho)*d('x',sxz,'+'))/(1+0.5*dt*ddx)\n",
    "    vz2=((1-0.5*dt*ddz)*vz2+(dt/rho)*d('z',szz,'+'))/(1+0.5*dt*ddz)\n",
    "    vz = vz1+vz2 \n",
    "    \n",
    "            \n",
    "    curl = d('z',vx,'+') - d('x',vz,'-')\n",
    "    vol = d('x',vx,'+') + d('z',vz,'-')            \n",
    "                       \n",
    "    # Update pressure\n",
    "    sxx1=((1-0.5*dt*ddx)*sxx1+(lam+2*mu)*dt*d('x',vx,'+'))/(1+0.5*dt*ddx)\n",
    "    sxx2=((1-0.5*dt*ddz)*sxx2+lam*dt*d('z',vz,'-'))/(1+0.5*dt*ddz)\n",
    "    sxx = sxx1 + sxx2    \n",
    "\n",
    "    szz1=((1-0.5*dt*ddx)*szz1+lam*dt*d('x',vx,'+'))/(1+0.5*dt*ddx)\n",
    "    szz2=((1-0.5*dt*ddz)*szz2+(lam+2*mu)*dt*d('z',vz,'-'))/(1+0.5*dt*ddz) \n",
    "    szz = szz1+szz2 \n",
    "\n",
    "    sxz1=((1-0.5*dt*ddx)*sxz1+mu*dt*d('x',vz,'-'))/(1+0.5*dt*ddx)\n",
    "    sxz2=((1-0.5*dt*ddz)*sxz2+mu*dt*d('z',vx,'+'))/(1+0.5*dt*ddz)\n",
    "    sxz = sxz1+sxz2\n",
    "    \n",
    "    seismo_vx[0:m,tt]=vx[0:m,pml]\n",
    "    seismo_vz[0:m,tt]=vz[0:m,pml]\n",
    "    \n",
    "    # Plot every time step (nt)\n",
    "    if (tt % idisp) == 0:\n",
    "        curlp.set_data(curl[pml:m-pml,pml:m-pml].transpose())\n",
    "        f1.set_title(\"Time Step (nt) = %i\" % (tt))\n",
    "        divp.set_data(vol[pml:m-pml,pml:m-pml].transpose())\n",
    "        vxp.set_data(vx[pml:m-pml,pml:m-pml].transpose())\n",
    "        vzp.set_data(vz[pml:m-pml,pml:m-pml].transpose())\n",
    "        plt.gcf().canvas.draw()\n",
    "        \n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {
    "scrolled": false
   },
   "outputs": [],
   "source": [
    "# Plot Shot gathers 5 pts below free surface\n",
    "    \n",
    "fac=0.1\n",
    "ymx=abs(seismo_vx).max()\n",
    "clim=np.array([-fac*ymx, fac*ymx])\n",
    "plt.ion()\n",
    "fig2 = plt.figure()\n",
    "plt.title('Common Shot Gather (horizontal component phone)')\n",
    "plt.xlabel('x-grid')\n",
    "plt.ylabel('nt')\n",
    "im = plt.imshow(seismo_vx[pml:m-pml,:].transpose(),vmin=clim.min(), vmax=clim.max(), animated=True,\n",
    "                interpolation=\"nearest\", cmap=plt.cm.RdBu,extent=[0,(m-2*pml)*dx,nt*dt - t0,0],aspect = 'auto')\n",
    "fig2.colorbar(im)\n",
    "plt.show()\n",
    "#plt.savefig(\"DFDT_het_2D_vx.png\", bbox_inches='tight')\n",
    "\n",
    "fac=0.1\n",
    "ymx=abs(seismo_vz[pml:m-pml,:]).max()\n",
    "clim=np.array([-fac*ymx, fac*ymx])\n",
    "plt.ion()\n",
    "fig3 = plt.figure()\n",
    "plt.title('Common Shot Gather (vertical component phone)')\n",
    "plt.xlabel('x-grid')\n",
    "plt.ylabel('nt')\n",
    "im = plt.imshow(seismo_vz[pml:m-pml,:].transpose(),vmin=clim.min(), vmax=clim.max(), animated=True,\n",
    "                interpolation=\"nearest\", cmap=plt.cm.RdBu,extent=[0,(m-2*pml)*dx,nt*dt - t0,0],aspect = 'auto')\n",
    "fig3.colorbar(im)\n",
    "plt.show()\n",
    "#plt.savefig(\"DFDT_het_2D_vz.png\", bbox_inches='tight')"
   ]
  }
 ],
 "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",
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