stokes.ipynb

{
 "cells": [
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Stokes first and second problem\n",
    "\n",
    "Demonstration of Stokes first and second problem.\n",
    "\n",
    "Philipp Schlatter, 2022"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Preliminaries:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {},
   "outputs": [],
   "source": [
    "%matplotlib notebook\n",
    "\n",
    "# Maybe needed on Binder environments\n",
    "#!pip install scipy     \n",
    "import numpy as np\n",
    "import ipywidgets as widgets\n",
    "import matplotlib.pyplot as plt\n",
    "import matplotlib.pylab as pylab\n",
    "import matplotlib.animation\n",
    "from scipy.special import erf\n",
    "from IPython import display"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## First Stokes problem: Impusively started plate"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Consider a plate that is impulsively starting to move with velocity $V$ in the $x$-direction for $t>0$. Then,  we can use a similarity approach to solve for the velocity profile $u(y,t)$ above the plate. This solution will contain the so-called *error function* $\\mathrm{erf}(z)$,\n",
    "\n",
    "$$\\mathrm{erf}(z) = \\frac{2}{\\sqrt{\\pi}} \\int_0^z e^{-q^2} \\mathrm{d}q \\ . $$"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "application/javascript": [
       "/* Put everything inside the global mpl namespace */\n",
       "/* global mpl */\n",
       "window.mpl = {};\n",
       "\n",
       "mpl.get_websocket_type = function () {\n",
       "    if (typeof WebSocket !== 'undefined') {\n",
       "        return WebSocket;\n",
       "    } else if (typeof MozWebSocket !== 'undefined') {\n",
       "        return MozWebSocket;\n",
       "    } else {\n",
       "        alert(\n",
       "            'Your browser does not have WebSocket support. ' +\n",
       "                'Please try Chrome, Safari or Firefox ≥ 6. ' +\n",
       "                'Firefox 4 and 5 are also supported but you ' +\n",
       "                'have to enable WebSockets in about:config.'\n",
       "        );\n",
       "    }\n",
       "};\n",
       "\n",
       "mpl.figure = function (figure_id, websocket, ondownload, parent_element) {\n",
       "    this.id = figure_id;\n",
       "\n",
       "    this.ws = websocket;\n",
       "\n",
       "    this.supports_binary = this.ws.binaryType !== undefined;\n",
       "\n",
       "    if (!this.supports_binary) {\n",
       "        var warnings = document.getElementById('mpl-warnings');\n",
       "        if (warnings) {\n",
       "            warnings.style.display = 'block';\n",
       "            warnings.textContent =\n",
       "                'This browser does not support binary websocket messages. ' +\n",
       "                'Performance may be slow.';\n",
       "        }\n",
       "    }\n",
       "\n",
       "    this.imageObj = new Image();\n",
       "\n",
       "    this.context = undefined;\n",
       "    this.message = undefined;\n",
       "    this.canvas = undefined;\n",
       "    this.rubberband_canvas = undefined;\n",
       "    this.rubberband_context = undefined;\n",
       "    this.format_dropdown = undefined;\n",
       "\n",
       "    this.image_mode = 'full';\n",
       "\n",
       "    this.root = document.createElement('div');\n",
       "    this.root.setAttribute('style', 'display: inline-block');\n",
       "    this._root_extra_style(this.root);\n",
       "\n",
       "    parent_element.appendChild(this.root);\n",
       "\n",
       "    this._init_header(this);\n",
       "    this._init_canvas(this);\n",
       "    this._init_toolbar(this);\n",
       "\n",
       "    var fig = this;\n",
       "\n",
       "    this.waiting = false;\n",
       "\n",
       "    this.ws.onopen = function () {\n",
       "        fig.send_message('supports_binary', { value: fig.supports_binary });\n",
       "        fig.send_message('send_image_mode', {});\n",
       "        if (fig.ratio !== 1) {\n",
       "            fig.send_message('set_device_pixel_ratio', {\n",
       "                device_pixel_ratio: fig.ratio,\n",
       "            });\n",
       "        }\n",
       "        fig.send_message('refresh', {});\n",
       "    };\n",
       "\n",
       "    this.imageObj.onload = function () {\n",
       "        if (fig.image_mode === 'full') {\n",
       "            // Full images could contain transparency (where diff images\n",
       "            // almost always do), so we need to clear the canvas so that\n",
       "            // there is no ghosting.\n",
       "            fig.context.clearRect(0, 0, fig.canvas.width, fig.canvas.height);\n",
       "        }\n",
       "        fig.context.drawImage(fig.imageObj, 0, 0);\n",
       "    };\n",
       "\n",
       "    this.imageObj.onunload = function () {\n",
       "        fig.ws.close();\n",
       "    };\n",
       "\n",
       "    this.ws.onmessage = this._make_on_message_function(this);\n",
       "\n",
       "    this.ondownload = ondownload;\n",
       "};\n",
       "\n",
       "mpl.figure.prototype._init_header = function () {\n",
       "    var titlebar = document.createElement('div');\n",
       "    titlebar.classList =\n",
       "        'ui-dialog-titlebar ui-widget-header ui-corner-all ui-helper-clearfix';\n",
       "    var titletext = document.createElement('div');\n",
       "    titletext.classList = 'ui-dialog-title';\n",
       "    titletext.setAttribute(\n",
       "        'style',\n",
       "        'width: 100%; text-align: center; padding: 3px;'\n",
       "    );\n",
       "    titlebar.appendChild(titletext);\n",
       "    this.root.appendChild(titlebar);\n",
       "    this.header = titletext;\n",
       "};\n",
       "\n",
       "mpl.figure.prototype._canvas_extra_style = function (_canvas_div) {};\n",
       "\n",
       "mpl.figure.prototype._root_extra_style = function (_canvas_div) {};\n",
       "\n",
       "mpl.figure.prototype._init_canvas = function () {\n",
       "    var fig = this;\n",
       "\n",
       "    var canvas_div = (this.canvas_div = document.createElement('div'));\n",
       "    canvas_div.setAttribute('tabindex', '0');\n",
       "    canvas_div.setAttribute(\n",
       "        'style',\n",
       "        'border: 1px solid #ddd;' +\n",
       "            'box-sizing: content-box;' +\n",
       "            'clear: both;' +\n",
       "            'min-height: 1px;' +\n",
       "            'min-width: 1px;' +\n",
       "            'outline: 0;' +\n",
       "            'overflow: hidden;' +\n",
       "            'position: relative;' +\n",
       "            'resize: both;' +\n",
       "            'z-index: 2;'\n",
       "    );\n",
       "\n",
       "    function on_keyboard_event_closure(name) {\n",
       "        return function (event) {\n",
       "            return fig.key_event(event, name);\n",
       "        };\n",
       "    }\n",
       "\n",
       "    canvas_div.addEventListener(\n",
       "        'keydown',\n",
       "        on_keyboard_event_closure('key_press')\n",
       "    );\n",
       "    canvas_div.addEventListener(\n",
       "        'keyup',\n",
       "        on_keyboard_event_closure('key_release')\n",
       "    );\n",
       "\n",
       "    this._canvas_extra_style(canvas_div);\n",
       "    this.root.appendChild(canvas_div);\n",
       "\n",
       "    var canvas = (this.canvas = document.createElement('canvas'));\n",
       "    canvas.classList.add('mpl-canvas');\n",
       "    canvas.setAttribute(\n",
       "        'style',\n",
       "        'box-sizing: content-box;' +\n",
       "            'pointer-events: none;' +\n",
       "            'position: relative;' +\n",
       "            'z-index: 0;'\n",
       "    );\n",
       "\n",
       "    this.context = canvas.getContext('2d');\n",
       "\n",
       "    var backingStore =\n",
       "        this.context.backingStorePixelRatio ||\n",
       "        this.context.webkitBackingStorePixelRatio ||\n",
       "        this.context.mozBackingStorePixelRatio ||\n",
       "        this.context.msBackingStorePixelRatio ||\n",
       "        this.context.oBackingStorePixelRatio ||\n",
       "        this.context.backingStorePixelRatio ||\n",
       "        1;\n",
       "\n",
       "    this.ratio = (window.devicePixelRatio || 1) / backingStore;\n",
       "\n",
       "    var rubberband_canvas = (this.rubberband_canvas = document.createElement(\n",
       "        'canvas'\n",
       "    ));\n",
       "    rubberband_canvas.setAttribute(\n",
       "        'style',\n",
       "        'box-sizing: content-box;' +\n",
       "            'left: 0;' +\n",
       "            'pointer-events: none;' +\n",
       "            'position: absolute;' +\n",
       "            'top: 0;' +\n",
       "            'z-index: 1;'\n",
       "    );\n",
       "\n",
       "    // Apply a ponyfill if ResizeObserver is not implemented by browser.\n",
       "    if (this.ResizeObserver === undefined) {\n",
       "        if (window.ResizeObserver !== undefined) {\n",
       "            this.ResizeObserver = window.ResizeObserver;\n",
       "        } else {\n",
       "            var obs = _JSXTOOLS_RESIZE_OBSERVER({});\n",
       "            this.ResizeObserver = obs.ResizeObserver;\n",
       "        }\n",
       "    }\n",
       "\n",
       "    this.resizeObserverInstance = new this.ResizeObserver(function (entries) {\n",
       "        var nentries = entries.length;\n",
       "        for (var i = 0; i < nentries; i++) {\n",
       "            var entry = entries[i];\n",
       "            var width, height;\n",
       "            if (entry.contentBoxSize) {\n",
       "                if (entry.contentBoxSize instanceof Array) {\n",
       "                    // Chrome 84 implements new version of spec.\n",
       "                    width = entry.contentBoxSize[0].inlineSize;\n",
       "                    height = entry.contentBoxSize[0].blockSize;\n",
       "                } else {\n",
       "                    // Firefox implements old version of spec.\n",
       "                    width = entry.contentBoxSize.inlineSize;\n",
       "                    height = entry.contentBoxSize.blockSize;\n",
       "                }\n",
       "            } else {\n",
       "                // Chrome <84 implements even older version of spec.\n",
       "                width = entry.contentRect.width;\n",
       "                height = entry.contentRect.height;\n",
       "            }\n",
       "\n",
       "            // Keep the size of the canvas and rubber band canvas in sync with\n",
       "            // the canvas container.\n",
       "            if (entry.devicePixelContentBoxSize) {\n",
       "                // Chrome 84 implements new version of spec.\n",
       "                canvas.setAttribute(\n",
       "                    'width',\n",
       "                    entry.devicePixelContentBoxSize[0].inlineSize\n",
       "                );\n",
       "                canvas.setAttribute(\n",
       "                    'height',\n",
       "                    entry.devicePixelContentBoxSize[0].blockSize\n",
       "                );\n",
       "            } else {\n",
       "                canvas.setAttribute('width', width * fig.ratio);\n",
       "                canvas.setAttribute('height', height * fig.ratio);\n",
       "            }\n",
       "            /* This rescales the canvas back to display pixels, so that it\n",
       "             * appears correct on HiDPI screens. */\n",
       "            canvas.style.width = width + 'px';\n",
       "            canvas.style.height = height + 'px';\n",
       "\n",
       "            rubberband_canvas.setAttribute('width', width);\n",
       "            rubberband_canvas.setAttribute('height', height);\n",
       "\n",
       "            // And update the size in Python. We ignore the initial 0/0 size\n",
       "            // that occurs as the element is placed into the DOM, which should\n",
       "            // otherwise not happen due to the minimum size styling.\n",
       "            if (fig.ws.readyState == 1 && width != 0 && height != 0) {\n",
       "                fig.request_resize(width, height);\n",
       "            }\n",
       "        }\n",
       "    });\n",
       "    this.resizeObserverInstance.observe(canvas_div);\n",
       "\n",
       "    function on_mouse_event_closure(name) {\n",
       "        /* User Agent sniffing is bad, but WebKit is busted:\n",
       "         * https://bugs.webkit.org/show_bug.cgi?id=144526\n",
       "         * https://bugs.webkit.org/show_bug.cgi?id=181818\n",
       "         * The worst that happens here is that they get an extra browser\n",
       "         * selection when dragging, if this check fails to catch them.\n",
       "         */\n",
       "        var UA = navigator.userAgent;\n",
       "        var isWebKit = /AppleWebKit/.test(UA) && !/Chrome/.test(UA);\n",
       "        if(isWebKit) {\n",
       "            return function (event) {\n",
       "                /* This prevents the web browser from automatically changing to\n",
       "                 * the text insertion cursor when the button is pressed. We\n",
       "                 * want to control all of the cursor setting manually through\n",
       "                 * the 'cursor' event from matplotlib */\n",
       "                event.preventDefault()\n",
       "                return fig.mouse_event(event, name);\n",
       "            };\n",
       "        } else {\n",
       "            return function (event) {\n",
       "                return fig.mouse_event(event, name);\n",
       "            };\n",
       "        }\n",
       "    }\n",
       "\n",
       "    canvas_div.addEventListener(\n",
       "        'mousedown',\n",
       "        on_mouse_event_closure('button_press')\n",
       "    );\n",
       "    canvas_div.addEventListener(\n",
       "        'mouseup',\n",
       "        on_mouse_event_closure('button_release')\n",
       "    );\n",
       "    canvas_div.addEventListener(\n",
       "        'dblclick',\n",
       "        on_mouse_event_closure('dblclick')\n",
       "    );\n",
       "    // Throttle sequential mouse events to 1 every 20ms.\n",
       "    canvas_div.addEventListener(\n",
       "        'mousemove',\n",
       "        on_mouse_event_closure('motion_notify')\n",
       "    );\n",
       "\n",
       "    canvas_div.addEventListener(\n",
       "        'mouseenter',\n",
       "        on_mouse_event_closure('figure_enter')\n",
       "    );\n",
       "    canvas_div.addEventListener(\n",
       "        'mouseleave',\n",
       "        on_mouse_event_closure('figure_leave')\n",
       "    );\n",
       "\n",
       "    canvas_div.addEventListener('wheel', function (event) {\n",
       "        if (event.deltaY < 0) {\n",
       "            event.step = 1;\n",
       "        } else {\n",
       "            event.step = -1;\n",
       "        }\n",
       "        on_mouse_event_closure('scroll')(event);\n",
       "    });\n",
       "\n",
       "    canvas_div.appendChild(canvas);\n",
       "    canvas_div.appendChild(rubberband_canvas);\n",
       "\n",
       "    this.rubberband_context = rubberband_canvas.getContext('2d');\n",
       "    this.rubberband_context.strokeStyle = '#000000';\n",
       "\n",
       "    this._resize_canvas = function (width, height, forward) {\n",
       "        if (forward) {\n",
       "            canvas_div.style.width = width + 'px';\n",
       "            canvas_div.style.height = height + 'px';\n",
       "        }\n",
       "    };\n",
       "\n",
       "    // Disable right mouse context menu.\n",
       "    canvas_div.addEventListener('contextmenu', function (_e) {\n",
       "        event.preventDefault();\n",
       "        return false;\n",
       "    });\n",
       "\n",
       "    function set_focus() {\n",
       "        canvas.focus();\n",
       "        canvas_div.focus();\n",
       "    }\n",
       "\n",
       "    window.setTimeout(set_focus, 100);\n",
       "};\n",
       "\n",
       "mpl.figure.prototype._init_toolbar = function () {\n",
       "    var fig = this;\n",
       "\n",
       "    var toolbar = document.createElement('div');\n",
       "    toolbar.classList = 'mpl-toolbar';\n",
       "    this.root.appendChild(toolbar);\n",
       "\n",
       "    function on_click_closure(name) {\n",
       "        return function (_event) {\n",
       "            return fig.toolbar_button_onclick(name);\n",
       "        };\n",
       "    }\n",
       "\n",
       "    function on_mouseover_closure(tooltip) {\n",
       "        return function (event) {\n",
       "            if (!event.currentTarget.disabled) {\n",
       "                return fig.toolbar_button_onmouseover(tooltip);\n",
       "            }\n",
       "        };\n",
       "    }\n",
       "\n",
       "    fig.buttons = {};\n",
       "    var buttonGroup = document.createElement('div');\n",
       "    buttonGroup.classList = 'mpl-button-group';\n",
       "    for (var toolbar_ind in mpl.toolbar_items) {\n",
       "        var name = mpl.toolbar_items[toolbar_ind][0];\n",
       "        var tooltip = mpl.toolbar_items[toolbar_ind][1];\n",
       "        var image = mpl.toolbar_items[toolbar_ind][2];\n",
       "        var method_name = mpl.toolbar_items[toolbar_ind][3];\n",
       "\n",
       "        if (!name) {\n",
       "            /* Instead of a spacer, we start a new button group. */\n",
       "            if (buttonGroup.hasChildNodes()) {\n",
       "                toolbar.appendChild(buttonGroup);\n",
       "            }\n",
       "            buttonGroup = document.createElement('div');\n",
       "            buttonGroup.classList = 'mpl-button-group';\n",
       "            continue;\n",
       "        }\n",
       "\n",
       "        var button = (fig.buttons[name] = document.createElement('button'));\n",
       "        button.classList = 'mpl-widget';\n",
       "        button.setAttribute('role', 'button');\n",
       "        button.setAttribute('aria-disabled', 'false');\n",
       "        button.addEventListener('click', on_click_closure(method_name));\n",
       "        button.addEventListener('mouseover', on_mouseover_closure(tooltip));\n",
       "\n",
       "        var icon_img = document.createElement('img');\n",
       "        icon_img.src = '_images/' + image + '.png';\n",
       "        icon_img.srcset = '_images/' + image + '_large.png 2x';\n",
       "        icon_img.alt = tooltip;\n",
       "        button.appendChild(icon_img);\n",
       "\n",
       "        buttonGroup.appendChild(button);\n",
       "    }\n",
       "\n",
       "    if (buttonGroup.hasChildNodes()) {\n",
       "        toolbar.appendChild(buttonGroup);\n",
       "    }\n",
       "\n",
       "    var fmt_picker = document.createElement('select');\n",
       "    fmt_picker.classList = 'mpl-widget';\n",
       "    toolbar.appendChild(fmt_picker);\n",
       "    this.format_dropdown = fmt_picker;\n",
       "\n",
       "    for (var ind in mpl.extensions) {\n",
       "        var fmt = mpl.extensions[ind];\n",
       "        var option = document.createElement('option');\n",
       "        option.selected = fmt === mpl.default_extension;\n",
       "        option.innerHTML = fmt;\n",
       "        fmt_picker.appendChild(option);\n",
       "    }\n",
       "\n",
       "    var status_bar = document.createElement('span');\n",
       "    status_bar.classList = 'mpl-message';\n",
       "    toolbar.appendChild(status_bar);\n",
       "    this.message = status_bar;\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.request_resize = function (x_pixels, y_pixels) {\n",
       "    // Request matplotlib to resize the figure. Matplotlib will then trigger a resize in the client,\n",
       "    // which will in turn request a refresh of the image.\n",
       "    this.send_message('resize', { width: x_pixels, height: y_pixels });\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.send_message = function (type, properties) {\n",
       "    properties['type'] = type;\n",
       "    properties['figure_id'] = this.id;\n",
       "    this.ws.send(JSON.stringify(properties));\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.send_draw_message = function () {\n",
       "    if (!this.waiting) {\n",
       "        this.waiting = true;\n",
       "        this.ws.send(JSON.stringify({ type: 'draw', figure_id: this.id }));\n",
       "    }\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.handle_save = function (fig, _msg) {\n",
       "    var format_dropdown = fig.format_dropdown;\n",
       "    var format = format_dropdown.options[format_dropdown.selectedIndex].value;\n",
       "    fig.ondownload(fig, format);\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.handle_resize = function (fig, msg) {\n",
       "    var size = msg['size'];\n",
       "    if (size[0] !== fig.canvas.width || size[1] !== fig.canvas.height) {\n",
       "        fig._resize_canvas(size[0], size[1], msg['forward']);\n",
       "        fig.send_message('refresh', {});\n",
       "    }\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.handle_rubberband = function (fig, msg) {\n",
       "    var x0 = msg['x0'] / fig.ratio;\n",
       "    var y0 = (fig.canvas.height - msg['y0']) / fig.ratio;\n",
       "    var x1 = msg['x1'] / fig.ratio;\n",
       "    var y1 = (fig.canvas.height - msg['y1']) / fig.ratio;\n",
       "    x0 = Math.floor(x0) + 0.5;\n",
       "    y0 = Math.floor(y0) + 0.5;\n",
       "    x1 = Math.floor(x1) + 0.5;\n",
       "    y1 = Math.floor(y1) + 0.5;\n",
       "    var min_x = Math.min(x0, x1);\n",
       "    var min_y = Math.min(y0, y1);\n",
       "    var width = Math.abs(x1 - x0);\n",
       "    var height = Math.abs(y1 - y0);\n",
       "\n",
       "    fig.rubberband_context.clearRect(\n",
       "        0,\n",
       "        0,\n",
       "        fig.canvas.width / fig.ratio,\n",
       "        fig.canvas.height / fig.ratio\n",
       "    );\n",
       "\n",
       "    fig.rubberband_context.strokeRect(min_x, min_y, width, height);\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.handle_figure_label = function (fig, msg) {\n",
       "    // Updates the figure title.\n",
       "    fig.header.textContent = msg['label'];\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.handle_cursor = function (fig, msg) {\n",
       "    fig.canvas_div.style.cursor = msg['cursor'];\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.handle_message = function (fig, msg) {\n",
       "    fig.message.textContent = msg['message'];\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.handle_draw = function (fig, _msg) {\n",
       "    // Request the server to send over a new figure.\n",
       "    fig.send_draw_message();\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.handle_image_mode = function (fig, msg) {\n",
       "    fig.image_mode = msg['mode'];\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.handle_history_buttons = function (fig, msg) {\n",
       "    for (var key in msg) {\n",
       "        if (!(key in fig.buttons)) {\n",
       "            continue;\n",
       "        }\n",
       "        fig.buttons[key].disabled = !msg[key];\n",
       "        fig.buttons[key].setAttribute('aria-disabled', !msg[key]);\n",
       "    }\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.handle_navigate_mode = function (fig, msg) {\n",
       "    if (msg['mode'] === 'PAN') {\n",
       "        fig.buttons['Pan'].classList.add('active');\n",
       "        fig.buttons['Zoom'].classList.remove('active');\n",
       "    } else if (msg['mode'] === 'ZOOM') {\n",
       "        fig.buttons['Pan'].classList.remove('active');\n",
       "        fig.buttons['Zoom'].classList.add('active');\n",
       "    } else {\n",
       "        fig.buttons['Pan'].classList.remove('active');\n",
       "        fig.buttons['Zoom'].classList.remove('active');\n",
       "    }\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.updated_canvas_event = function () {\n",
       "    // Called whenever the canvas gets updated.\n",
       "    this.send_message('ack', {});\n",
       "};\n",
       "\n",
       "// A function to construct a web socket function for onmessage handling.\n",
       "// Called in the figure constructor.\n",
       "mpl.figure.prototype._make_on_message_function = function (fig) {\n",
       "    return function socket_on_message(evt) {\n",
       "        if (evt.data instanceof Blob) {\n",
       "            var img = evt.data;\n",
       "            if (img.type !== 'image/png') {\n",
       "                /* FIXME: We get \"Resource interpreted as Image but\n",
       "                 * transferred with MIME type text/plain:\" errors on\n",
       "                 * Chrome.  But how to set the MIME type?  It doesn't seem\n",
       "                 * to be part of the websocket stream */\n",
       "                img.type = 'image/png';\n",
       "            }\n",
       "\n",
       "            /* Free the memory for the previous frames */\n",
       "            if (fig.imageObj.src) {\n",
       "                (window.URL || window.webkitURL).revokeObjectURL(\n",
       "                    fig.imageObj.src\n",
       "                );\n",
       "            }\n",
       "\n",
       "            fig.imageObj.src = (window.URL || window.webkitURL).createObjectURL(\n",
       "                img\n",
       "            );\n",
       "            fig.updated_canvas_event();\n",
       "            fig.waiting = false;\n",
       "            return;\n",
       "        } else if (\n",
       "            typeof evt.data === 'string' &&\n",
       "            evt.data.slice(0, 21) === 'data:image/png;base64'\n",
       "        ) {\n",
       "            fig.imageObj.src = evt.data;\n",
       "            fig.updated_canvas_event();\n",
       "            fig.waiting = false;\n",
       "            return;\n",
       "        }\n",
       "\n",
       "        var msg = JSON.parse(evt.data);\n",
       "        var msg_type = msg['type'];\n",
       "\n",
       "        // Call the  \"handle_{type}\" callback, which takes\n",
       "        // the figure and JSON message as its only arguments.\n",
       "        try {\n",
       "            var callback = fig['handle_' + msg_type];\n",
       "        } catch (e) {\n",
       "            console.log(\n",
       "                \"No handler for the '\" + msg_type + \"' message type: \",\n",
       "                msg\n",
       "            );\n",
       "            return;\n",
       "        }\n",
       "\n",
       "        if (callback) {\n",
       "            try {\n",
       "                // console.log(\"Handling '\" + msg_type + \"' message: \", msg);\n",
       "                callback(fig, msg);\n",
       "            } catch (e) {\n",
       "                console.log(\n",
       "                    \"Exception inside the 'handler_\" + msg_type + \"' callback:\",\n",
       "                    e,\n",
       "                    e.stack,\n",
       "                    msg\n",
       "                );\n",
       "            }\n",
       "        }\n",
       "    };\n",
       "};\n",
       "\n",
       "function getModifiers(event) {\n",
       "    var mods = [];\n",
       "    if (event.ctrlKey) {\n",
       "        mods.push('ctrl');\n",
       "    }\n",
       "    if (event.altKey) {\n",
       "        mods.push('alt');\n",
       "    }\n",
       "    if (event.shiftKey) {\n",
       "        mods.push('shift');\n",
       "    }\n",
       "    if (event.metaKey) {\n",
       "        mods.push('meta');\n",
       "    }\n",
       "    return mods;\n",
       "}\n",
       "\n",
       "/*\n",
       " * return a copy of an object with only non-object keys\n",
       " * we need this to avoid circular references\n",
       " * https://stackoverflow.com/a/24161582/3208463\n",
       " */\n",
       "function simpleKeys(original) {\n",
       "    return Object.keys(original).reduce(function (obj, key) {\n",
       "        if (typeof original[key] !== 'object') {\n",
       "            obj[key] = original[key];\n",
       "        }\n",
       "        return obj;\n",
       "    }, {});\n",
       "}\n",
       "\n",
       "mpl.figure.prototype.mouse_event = function (event, name) {\n",
       "    if (name === 'button_press') {\n",
       "        this.canvas.focus();\n",
       "        this.canvas_div.focus();\n",
       "    }\n",
       "\n",
       "    // from https://stackoverflow.com/q/1114465\n",
       "    var boundingRect = this.canvas.getBoundingClientRect();\n",
       "    var x = (event.clientX - boundingRect.left) * this.ratio;\n",
       "    var y = (event.clientY - boundingRect.top) * this.ratio;\n",
       "\n",
       "    this.send_message(name, {\n",
       "        x: x,\n",
       "        y: y,\n",
       "        button: event.button,\n",
       "        step: event.step,\n",
       "        modifiers: getModifiers(event),\n",
       "        guiEvent: simpleKeys(event),\n",
       "    });\n",
       "\n",
       "    return false;\n",
       "};\n",
       "\n",
       "mpl.figure.prototype._key_event_extra = function (_event, _name) {\n",
       "    // Handle any extra behaviour associated with a key event\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.key_event = function (event, name) {\n",
       "    // Prevent repeat events\n",
       "    if (name === 'key_press') {\n",
       "        if (event.key === this._key) {\n",
       "            return;\n",
       "        } else {\n",
       "            this._key = event.key;\n",
       "        }\n",
       "    }\n",
       "    if (name === 'key_release') {\n",
       "        this._key = null;\n",
       "    }\n",
       "\n",
       "    var value = '';\n",
       "    if (event.ctrlKey && event.key !== 'Control') {\n",
       "        value += 'ctrl+';\n",
       "    }\n",
       "    else if (event.altKey && event.key !== 'Alt') {\n",
       "        value += 'alt+';\n",
       "    }\n",
       "    else if (event.shiftKey && event.key !== 'Shift') {\n",
       "        value += 'shift+';\n",
       "    }\n",
       "\n",
       "    value += 'k' + event.key;\n",
       "\n",
       "    this._key_event_extra(event, name);\n",
       "\n",
       "    this.send_message(name, { key: value, guiEvent: simpleKeys(event) });\n",
       "    return false;\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.toolbar_button_onclick = function (name) {\n",
       "    if (name === 'download') {\n",
       "        this.handle_save(this, null);\n",
       "    } else {\n",
       "        this.send_message('toolbar_button', { name: name });\n",
       "    }\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.toolbar_button_onmouseover = function (tooltip) {\n",
       "    this.message.textContent = tooltip;\n",
       "};\n",
       "\n",
       "///////////////// REMAINING CONTENT GENERATED BY embed_js.py /////////////////\n",
       "// prettier-ignore\n",
       "var _JSXTOOLS_RESIZE_OBSERVER=function(A){var t,i=new WeakMap,n=new WeakMap,a=new WeakMap,r=new WeakMap,o=new Set;function s(e){if(!(this instanceof s))throw new TypeError(\"Constructor requires 'new' operator\");i.set(this,e)}function h(){throw new TypeError(\"Function is not a constructor\")}function c(e,t,i,n){e=0 in arguments?Number(arguments[0]):0,t=1 in arguments?Number(arguments[1]):0,i=2 in arguments?Number(arguments[2]):0,n=3 in arguments?Number(arguments[3]):0,this.right=(this.x=this.left=e)+(this.width=i),this.bottom=(this.y=this.top=t)+(this.height=n),Object.freeze(this)}function d(){t=requestAnimationFrame(d);var s=new WeakMap,p=new Set;o.forEach((function(t){r.get(t).forEach((function(i){var r=t instanceof window.SVGElement,o=a.get(t),d=r?0:parseFloat(o.paddingTop),f=r?0:parseFloat(o.paddingRight),l=r?0:parseFloat(o.paddingBottom),u=r?0:parseFloat(o.paddingLeft),g=r?0:parseFloat(o.borderTopWidth),m=r?0:parseFloat(o.borderRightWidth),w=r?0:parseFloat(o.borderBottomWidth),b=u+f,F=d+l,v=(r?0:parseFloat(o.borderLeftWidth))+m,W=g+w,y=r?0:t.offsetHeight-W-t.clientHeight,E=r?0:t.offsetWidth-v-t.clientWidth,R=b+v,z=F+W,M=r?t.width:parseFloat(o.width)-R-E,O=r?t.height:parseFloat(o.height)-z-y;if(n.has(t)){var k=n.get(t);if(k[0]===M&&k[1]===O)return}n.set(t,[M,O]);var S=Object.create(h.prototype);S.target=t,S.contentRect=new c(u,d,M,O),s.has(i)||(s.set(i,[]),p.add(i)),s.get(i).push(S)}))})),p.forEach((function(e){i.get(e).call(e,s.get(e),e)}))}return s.prototype.observe=function(i){if(i instanceof window.Element){r.has(i)||(r.set(i,new Set),o.add(i),a.set(i,window.getComputedStyle(i)));var n=r.get(i);n.has(this)||n.add(this),cancelAnimationFrame(t),t=requestAnimationFrame(d)}},s.prototype.unobserve=function(i){if(i instanceof window.Element&&r.has(i)){var n=r.get(i);n.has(this)&&(n.delete(this),n.size||(r.delete(i),o.delete(i))),n.size||r.delete(i),o.size||cancelAnimationFrame(t)}},A.DOMRectReadOnly=c,A.ResizeObserver=s,A.ResizeObserverEntry=h,A}; // eslint-disable-line\n",
       "mpl.toolbar_items = [[\"Home\", \"Reset original view\", \"fa fa-home\", \"home\"], [\"Back\", \"Back to previous view\", \"fa fa-arrow-left\", \"back\"], [\"Forward\", \"Forward to next view\", \"fa fa-arrow-right\", \"forward\"], [\"\", \"\", \"\", \"\"], [\"Pan\", \"Left button pans, Right button zooms\\nx/y fixes axis, CTRL fixes aspect\", \"fa fa-arrows\", \"pan\"], [\"Zoom\", \"Zoom to rectangle\\nx/y fixes axis\", \"fa fa-square-o\", \"zoom\"], [\"\", \"\", \"\", \"\"], [\"Download\", \"Download plot\", \"fa fa-floppy-o\", \"download\"]];\n",
       "\n",
       "mpl.extensions = [\"eps\", \"jpeg\", \"pgf\", \"pdf\", \"png\", \"ps\", \"raw\", \"svg\", \"tif\", \"webp\"];\n",
       "\n",
       "mpl.default_extension = \"png\";/* global mpl */\n",
       "\n",
       "var comm_websocket_adapter = function (comm) {\n",
       "    // Create a \"websocket\"-like object which calls the given IPython comm\n",
       "    // object with the appropriate methods. Currently this is a non binary\n",
       "    // socket, so there is still some room for performance tuning.\n",
       "    var ws = {};\n",
       "\n",
       "    ws.binaryType = comm.kernel.ws.binaryType;\n",
       "    ws.readyState = comm.kernel.ws.readyState;\n",
       "    function updateReadyState(_event) {\n",
       "        if (comm.kernel.ws) {\n",
       "            ws.readyState = comm.kernel.ws.readyState;\n",
       "        } else {\n",
       "            ws.readyState = 3; // Closed state.\n",
       "        }\n",
       "    }\n",
       "    comm.kernel.ws.addEventListener('open', updateReadyState);\n",
       "    comm.kernel.ws.addEventListener('close', updateReadyState);\n",
       "    comm.kernel.ws.addEventListener('error', updateReadyState);\n",
       "\n",
       "    ws.close = function () {\n",
       "        comm.close();\n",
       "    };\n",
       "    ws.send = function (m) {\n",
       "        //console.log('sending', m);\n",
       "        comm.send(m);\n",
       "    };\n",
       "    // Register the callback with on_msg.\n",
       "    comm.on_msg(function (msg) {\n",
       "        //console.log('receiving', msg['content']['data'], msg);\n",
       "        var data = msg['content']['data'];\n",
       "        if (data['blob'] !== undefined) {\n",
       "            data = {\n",
       "                data: new Blob(msg['buffers'], { type: data['blob'] }),\n",
       "            };\n",
       "        }\n",
       "        // Pass the mpl event to the overridden (by mpl) onmessage function.\n",
       "        ws.onmessage(data);\n",
       "    });\n",
       "    return ws;\n",
       "};\n",
       "\n",
       "mpl.mpl_figure_comm = function (comm, msg) {\n",
       "    // This is the function which gets called when the mpl process\n",
       "    // starts-up an IPython Comm through the \"matplotlib\" channel.\n",
       "\n",
       "    var id = msg.content.data.id;\n",
       "    // Get hold of the div created by the display call when the Comm\n",
       "    // socket was opened in Python.\n",
       "    var element = document.getElementById(id);\n",
       "    var ws_proxy = comm_websocket_adapter(comm);\n",
       "\n",
       "    function ondownload(figure, _format) {\n",
       "        window.open(figure.canvas.toDataURL());\n",
       "    }\n",
       "\n",
       "    var fig = new mpl.figure(id, ws_proxy, ondownload, element);\n",
       "\n",
       "    // Call onopen now - mpl needs it, as it is assuming we've passed it a real\n",
       "    // web socket which is closed, not our websocket->open comm proxy.\n",
       "    ws_proxy.onopen();\n",
       "\n",
       "    fig.parent_element = element;\n",
       "    fig.cell_info = mpl.find_output_cell(\"<div id='\" + id + \"'></div>\");\n",
       "    if (!fig.cell_info) {\n",
       "        console.error('Failed to find cell for figure', id, fig);\n",
       "        return;\n",
       "    }\n",
       "    fig.cell_info[0].output_area.element.on(\n",
       "        'cleared',\n",
       "        { fig: fig },\n",
       "        fig._remove_fig_handler\n",
       "    );\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.handle_close = function (fig, msg) {\n",
       "    var width = fig.canvas.width / fig.ratio;\n",
       "    fig.cell_info[0].output_area.element.off(\n",
       "        'cleared',\n",
       "        fig._remove_fig_handler\n",
       "    );\n",
       "    fig.resizeObserverInstance.unobserve(fig.canvas_div);\n",
       "\n",
       "    // Update the output cell to use the data from the current canvas.\n",
       "    fig.push_to_output();\n",
       "    var dataURL = fig.canvas.toDataURL();\n",
       "    // Re-enable the keyboard manager in IPython - without this line, in FF,\n",
       "    // the notebook keyboard shortcuts fail.\n",
       "    IPython.keyboard_manager.enable();\n",
       "    fig.parent_element.innerHTML =\n",
       "        '<img src=\"' + dataURL + '\" width=\"' + width + '\">';\n",
       "    fig.close_ws(fig, msg);\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.close_ws = function (fig, msg) {\n",
       "    fig.send_message('closing', msg);\n",
       "    // fig.ws.close()\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.push_to_output = function (_remove_interactive) {\n",
       "    // Turn the data on the canvas into data in the output cell.\n",
       "    var width = this.canvas.width / this.ratio;\n",
       "    var dataURL = this.canvas.toDataURL();\n",
       "    this.cell_info[1]['text/html'] =\n",
       "        '<img src=\"' + dataURL + '\" width=\"' + width + '\">';\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.updated_canvas_event = function () {\n",
       "    // Tell IPython that the notebook contents must change.\n",
       "    IPython.notebook.set_dirty(true);\n",
       "    this.send_message('ack', {});\n",
       "    var fig = this;\n",
       "    // Wait a second, then push the new image to the DOM so\n",
       "    // that it is saved nicely (might be nice to debounce this).\n",
       "    setTimeout(function () {\n",
       "        fig.push_to_output();\n",
       "    }, 1000);\n",
       "};\n",
       "\n",
       "mpl.figure.prototype._init_toolbar = function () {\n",
       "    var fig = this;\n",
       "\n",
       "    var toolbar = document.createElement('div');\n",
       "    toolbar.classList = 'btn-toolbar';\n",
       "    this.root.appendChild(toolbar);\n",
       "\n",
       "    function on_click_closure(name) {\n",
       "        return function (_event) {\n",
       "            return fig.toolbar_button_onclick(name);\n",
       "        };\n",
       "    }\n",
       "\n",
       "    function on_mouseover_closure(tooltip) {\n",
       "        return function (event) {\n",
       "            if (!event.currentTarget.disabled) {\n",
       "                return fig.toolbar_button_onmouseover(tooltip);\n",
       "            }\n",
       "        };\n",
       "    }\n",
       "\n",
       "    fig.buttons = {};\n",
       "    var buttonGroup = document.createElement('div');\n",
       "    buttonGroup.classList = 'btn-group';\n",
       "    var button;\n",
       "    for (var toolbar_ind in mpl.toolbar_items) {\n",
       "        var name = mpl.toolbar_items[toolbar_ind][0];\n",
       "        var tooltip = mpl.toolbar_items[toolbar_ind][1];\n",
       "        var image = mpl.toolbar_items[toolbar_ind][2];\n",
       "        var method_name = mpl.toolbar_items[toolbar_ind][3];\n",
       "\n",
       "        if (!name) {\n",
       "            /* Instead of a spacer, we start a new button group. */\n",
       "            if (buttonGroup.hasChildNodes()) {\n",
       "                toolbar.appendChild(buttonGroup);\n",
       "            }\n",
       "            buttonGroup = document.createElement('div');\n",
       "            buttonGroup.classList = 'btn-group';\n",
       "            continue;\n",
       "        }\n",
       "\n",
       "        button = fig.buttons[name] = document.createElement('button');\n",
       "        button.classList = 'btn btn-default';\n",
       "        button.href = '#';\n",
       "        button.title = name;\n",
       "        button.innerHTML = '<i class=\"fa ' + image + ' fa-lg\"></i>';\n",
       "        button.addEventListener('click', on_click_closure(method_name));\n",
       "        button.addEventListener('mouseover', on_mouseover_closure(tooltip));\n",
       "        buttonGroup.appendChild(button);\n",
       "    }\n",
       "\n",
       "    if (buttonGroup.hasChildNodes()) {\n",
       "        toolbar.appendChild(buttonGroup);\n",
       "    }\n",
       "\n",
       "    // Add the status bar.\n",
       "    var status_bar = document.createElement('span');\n",
       "    status_bar.classList = 'mpl-message pull-right';\n",
       "    toolbar.appendChild(status_bar);\n",
       "    this.message = status_bar;\n",
       "\n",
       "    // Add the close button to the window.\n",
       "    var buttongrp = document.createElement('div');\n",
       "    buttongrp.classList = 'btn-group inline pull-right';\n",
       "    button = document.createElement('button');\n",
       "    button.classList = 'btn btn-mini btn-primary';\n",
       "    button.href = '#';\n",
       "    button.title = 'Stop Interaction';\n",
       "    button.innerHTML = '<i class=\"fa fa-power-off icon-remove icon-large\"></i>';\n",
       "    button.addEventListener('click', function (_evt) {\n",
       "        fig.handle_close(fig, {});\n",
       "    });\n",
       "    button.addEventListener(\n",
       "        'mouseover',\n",
       "        on_mouseover_closure('Stop Interaction')\n",
       "    );\n",
       "    buttongrp.appendChild(button);\n",
       "    var titlebar = this.root.querySelector('.ui-dialog-titlebar');\n",
       "    titlebar.insertBefore(buttongrp, titlebar.firstChild);\n",
       "};\n",
       "\n",
       "mpl.figure.prototype._remove_fig_handler = function (event) {\n",
       "    var fig = event.data.fig;\n",
       "    if (event.target !== this) {\n",
       "        // Ignore bubbled events from children.\n",
       "        return;\n",
       "    }\n",
       "    fig.close_ws(fig, {});\n",
       "};\n",
       "\n",
       "mpl.figure.prototype._root_extra_style = function (el) {\n",
       "    el.style.boxSizing = 'content-box'; // override notebook setting of border-box.\n",
       "};\n",
       "\n",
       "mpl.figure.prototype._canvas_extra_style = function (el) {\n",
       "    // this is important to make the div 'focusable\n",
       "    el.setAttribute('tabindex', 0);\n",
       "    // reach out to IPython and tell the keyboard manager to turn it's self\n",
       "    // off when our div gets focus\n",
       "\n",
       "    // location in version 3\n",
       "    if (IPython.notebook.keyboard_manager) {\n",
       "        IPython.notebook.keyboard_manager.register_events(el);\n",
       "    } else {\n",
       "        // location in version 2\n",
       "        IPython.keyboard_manager.register_events(el);\n",
       "    }\n",
       "};\n",
       "\n",
       "mpl.figure.prototype._key_event_extra = function (event, _name) {\n",
       "    // Check for shift+enter\n",
       "    if (event.shiftKey && event.which === 13) {\n",
       "        this.canvas_div.blur();\n",
       "        // select the cell after this one\n",
       "        var index = IPython.notebook.find_cell_index(this.cell_info[0]);\n",
       "        IPython.notebook.select(index + 1);\n",
       "    }\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.handle_save = function (fig, _msg) {\n",
       "    fig.ondownload(fig, null);\n",
       "};\n",
       "\n",
       "mpl.find_output_cell = function (html_output) {\n",
       "    // Return the cell and output element which can be found *uniquely* in the notebook.\n",
       "    // Note - this is a bit hacky, but it is done because the \"notebook_saving.Notebook\"\n",
       "    // IPython event is triggered only after the cells have been serialised, which for\n",
       "    // our purposes (turning an active figure into a static one), is too late.\n",
       "    var cells = IPython.notebook.get_cells();\n",
       "    var ncells = cells.length;\n",
       "    for (var i = 0; i < ncells; i++) {\n",
       "        var cell = cells[i];\n",
       "        if (cell.cell_type === 'code') {\n",
       "            for (var j = 0; j < cell.output_area.outputs.length; j++) {\n",
       "                var data = cell.output_area.outputs[j];\n",
       "                if (data.data) {\n",
       "                    // IPython >= 3 moved mimebundle to data attribute of output\n",
       "                    data = data.data;\n",
       "                }\n",
       "                if (data['text/html'] === html_output) {\n",
       "                    return [cell, data, j];\n",
       "                }\n",
       "            }\n",
       "        }\n",
       "    }\n",
       "};\n",
       "\n",
       "// Register the function which deals with the matplotlib target/channel.\n",
       "// The kernel may be null if the page has been refreshed.\n",
       "if (IPython.notebook.kernel !== null) {\n",
       "    IPython.notebook.kernel.comm_manager.register_target(\n",
       "        'matplotlib',\n",
       "        mpl.mpl_figure_comm\n",
       "    );\n",
       "}\n"
      ],
      "text/plain": [
       "<IPython.core.display.Javascript object>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "text/html": [
       "<img src=\"data:image/png;base64,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\" width=\"640\">"
      ],
      "text/plain": [
       "<IPython.core.display.HTML object>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "x=np.linspace(-2.5,2.5,101);\n",
    "plt.figure()\n",
    "plt.xlabel(f'$x$')\n",
    "plt.ylabel(f'erf$(x)$')\n",
    "plt.plot( x, erf(x),'b')\n",
    "plt.grid()\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "With the similarity variable, \n",
    "$$ \\eta =\\frac{y}{2\\sqrt{\\nu t}}\\ , $$\n",
    "\n",
    "we obtain the similarity solution $f(\\eta) = u/V$\n",
    "\n",
    "$$f(\\eta) = 1 - \\mathrm{erf}\\left(\\frac{\\eta}{2}\\right) \\ .$$\n",
    "\n",
    "Thus, the actual velocity profile is then given as\n",
    "\n",
    "$$ u(y,t) = V \\left[1 - \\mathrm{erf}\\left(\\frac{y}{2\\sqrt{\\nu t}}\\right) \\right]\\ . $$\n",
    "\n",
    "The value $f(\\eta)=0.01$ is obtained for $\\eta\\approx 3.64$.\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "application/javascript": [
       "/* Put everything inside the global mpl namespace */\n",
       "/* global mpl */\n",
       "window.mpl = {};\n",
       "\n",
       "mpl.get_websocket_type = function () {\n",
       "    if (typeof WebSocket !== 'undefined') {\n",
       "        return WebSocket;\n",
       "    } else if (typeof MozWebSocket !== 'undefined') {\n",
       "        return MozWebSocket;\n",
       "    } else {\n",
       "        alert(\n",
       "            'Your browser does not have WebSocket support. ' +\n",
       "                'Please try Chrome, Safari or Firefox ≥ 6. ' +\n",
       "                'Firefox 4 and 5 are also supported but you ' +\n",
       "                'have to enable WebSockets in about:config.'\n",
       "        );\n",
       "    }\n",
       "};\n",
       "\n",
       "mpl.figure = function (figure_id, websocket, ondownload, parent_element) {\n",
       "    this.id = figure_id;\n",
       "\n",
       "    this.ws = websocket;\n",
       "\n",
       "    this.supports_binary = this.ws.binaryType !== undefined;\n",
       "\n",
       "    if (!this.supports_binary) {\n",
       "        var warnings = document.getElementById('mpl-warnings');\n",
       "        if (warnings) {\n",
       "            warnings.style.display = 'block';\n",
       "            warnings.textContent =\n",
       "                'This browser does not support binary websocket messages. ' +\n",
       "                'Performance may be slow.';\n",
       "        }\n",
       "    }\n",
       "\n",
       "    this.imageObj = new Image();\n",
       "\n",
       "    this.context = undefined;\n",
       "    this.message = undefined;\n",
       "    this.canvas = undefined;\n",
       "    this.rubberband_canvas = undefined;\n",
       "    this.rubberband_context = undefined;\n",
       "    this.format_dropdown = undefined;\n",
       "\n",
       "    this.image_mode = 'full';\n",
       "\n",
       "    this.root = document.createElement('div');\n",
       "    this.root.setAttribute('style', 'display: inline-block');\n",
       "    this._root_extra_style(this.root);\n",
       "\n",
       "    parent_element.appendChild(this.root);\n",
       "\n",
       "    this._init_header(this);\n",
       "    this._init_canvas(this);\n",
       "    this._init_toolbar(this);\n",
       "\n",
       "    var fig = this;\n",
       "\n",
       "    this.waiting = false;\n",
       "\n",
       "    this.ws.onopen = function () {\n",
       "        fig.send_message('supports_binary', { value: fig.supports_binary });\n",
       "        fig.send_message('send_image_mode', {});\n",
       "        if (fig.ratio !== 1) {\n",
       "            fig.send_message('set_device_pixel_ratio', {\n",
       "                device_pixel_ratio: fig.ratio,\n",
       "            });\n",
       "        }\n",
       "        fig.send_message('refresh', {});\n",
       "    };\n",
       "\n",
       "    this.imageObj.onload = function () {\n",
       "        if (fig.image_mode === 'full') {\n",
       "            // Full images could contain transparency (where diff images\n",
       "            // almost always do), so we need to clear the canvas so that\n",
       "            // there is no ghosting.\n",
       "            fig.context.clearRect(0, 0, fig.canvas.width, fig.canvas.height);\n",
       "        }\n",
       "        fig.context.drawImage(fig.imageObj, 0, 0);\n",
       "    };\n",
       "\n",
       "    this.imageObj.onunload = function () {\n",
       "        fig.ws.close();\n",
       "    };\n",
       "\n",
       "    this.ws.onmessage = this._make_on_message_function(this);\n",
       "\n",
       "    this.ondownload = ondownload;\n",
       "};\n",
       "\n",
       "mpl.figure.prototype._init_header = function () {\n",
       "    var titlebar = document.createElement('div');\n",
       "    titlebar.classList =\n",
       "        'ui-dialog-titlebar ui-widget-header ui-corner-all ui-helper-clearfix';\n",
       "    var titletext = document.createElement('div');\n",
       "    titletext.classList = 'ui-dialog-title';\n",
       "    titletext.setAttribute(\n",
       "        'style',\n",
       "        'width: 100%; text-align: center; padding: 3px;'\n",
       "    );\n",
       "    titlebar.appendChild(titletext);\n",
       "    this.root.appendChild(titlebar);\n",
       "    this.header = titletext;\n",
       "};\n",
       "\n",
       "mpl.figure.prototype._canvas_extra_style = function (_canvas_div) {};\n",
       "\n",
       "mpl.figure.prototype._root_extra_style = function (_canvas_div) {};\n",
       "\n",
       "mpl.figure.prototype._init_canvas = function () {\n",
       "    var fig = this;\n",
       "\n",
       "    var canvas_div = (this.canvas_div = document.createElement('div'));\n",
       "    canvas_div.setAttribute('tabindex', '0');\n",
       "    canvas_div.setAttribute(\n",
       "        'style',\n",
       "        'border: 1px solid #ddd;' +\n",
       "            'box-sizing: content-box;' +\n",
       "            'clear: both;' +\n",
       "            'min-height: 1px;' +\n",
       "            'min-width: 1px;' +\n",
       "            'outline: 0;' +\n",
       "            'overflow: hidden;' +\n",
       "            'position: relative;' +\n",
       "            'resize: both;' +\n",
       "            'z-index: 2;'\n",
       "    );\n",
       "\n",
       "    function on_keyboard_event_closure(name) {\n",
       "        return function (event) {\n",
       "            return fig.key_event(event, name);\n",
       "        };\n",
       "    }\n",
       "\n",
       "    canvas_div.addEventListener(\n",
       "        'keydown',\n",
       "        on_keyboard_event_closure('key_press')\n",
       "    );\n",
       "    canvas_div.addEventListener(\n",
       "        'keyup',\n",
       "        on_keyboard_event_closure('key_release')\n",
       "    );\n",
       "\n",
       "    this._canvas_extra_style(canvas_div);\n",
       "    this.root.appendChild(canvas_div);\n",
       "\n",
       "    var canvas = (this.canvas = document.createElement('canvas'));\n",
       "    canvas.classList.add('mpl-canvas');\n",
       "    canvas.setAttribute(\n",
       "        'style',\n",
       "        'box-sizing: content-box;' +\n",
       "            'pointer-events: none;' +\n",
       "            'position: relative;' +\n",
       "            'z-index: 0;'\n",
       "    );\n",
       "\n",
       "    this.context = canvas.getContext('2d');\n",
       "\n",
       "    var backingStore =\n",
       "        this.context.backingStorePixelRatio ||\n",
       "        this.context.webkitBackingStorePixelRatio ||\n",
       "        this.context.mozBackingStorePixelRatio ||\n",
       "        this.context.msBackingStorePixelRatio ||\n",
       "        this.context.oBackingStorePixelRatio ||\n",
       "        this.context.backingStorePixelRatio ||\n",
       "        1;\n",
       "\n",
       "    this.ratio = (window.devicePixelRatio || 1) / backingStore;\n",
       "\n",
       "    var rubberband_canvas = (this.rubberband_canvas = document.createElement(\n",
       "        'canvas'\n",
       "    ));\n",
       "    rubberband_canvas.setAttribute(\n",
       "        'style',\n",
       "        'box-sizing: content-box;' +\n",
       "            'left: 0;' +\n",
       "            'pointer-events: none;' +\n",
       "            'position: absolute;' +\n",
       "            'top: 0;' +\n",
       "            'z-index: 1;'\n",
       "    );\n",
       "\n",
       "    // Apply a ponyfill if ResizeObserver is not implemented by browser.\n",
       "    if (this.ResizeObserver === undefined) {\n",
       "        if (window.ResizeObserver !== undefined) {\n",
       "            this.ResizeObserver = window.ResizeObserver;\n",
       "        } else {\n",
       "            var obs = _JSXTOOLS_RESIZE_OBSERVER({});\n",
       "            this.ResizeObserver = obs.ResizeObserver;\n",
       "        }\n",
       "    }\n",
       "\n",
       "    this.resizeObserverInstance = new this.ResizeObserver(function (entries) {\n",
       "        var nentries = entries.length;\n",
       "        for (var i = 0; i < nentries; i++) {\n",
       "            var entry = entries[i];\n",
       "            var width, height;\n",
       "            if (entry.contentBoxSize) {\n",
       "                if (entry.contentBoxSize instanceof Array) {\n",
       "                    // Chrome 84 implements new version of spec.\n",
       "                    width = entry.contentBoxSize[0].inlineSize;\n",
       "                    height = entry.contentBoxSize[0].blockSize;\n",
       "                } else {\n",
       "                    // Firefox implements old version of spec.\n",
       "                    width = entry.contentBoxSize.inlineSize;\n",
       "                    height = entry.contentBoxSize.blockSize;\n",
       "                }\n",
       "            } else {\n",
       "                // Chrome <84 implements even older version of spec.\n",
       "                width = entry.contentRect.width;\n",
       "                height = entry.contentRect.height;\n",
       "            }\n",
       "\n",
       "            // Keep the size of the canvas and rubber band canvas in sync with\n",
       "            // the canvas container.\n",
       "            if (entry.devicePixelContentBoxSize) {\n",
       "                // Chrome 84 implements new version of spec.\n",
       "                canvas.setAttribute(\n",
       "                    'width',\n",
       "                    entry.devicePixelContentBoxSize[0].inlineSize\n",
       "                );\n",
       "                canvas.setAttribute(\n",
       "                    'height',\n",
       "                    entry.devicePixelContentBoxSize[0].blockSize\n",
       "                );\n",
       "            } else {\n",
       "                canvas.setAttribute('width', width * fig.ratio);\n",
       "                canvas.setAttribute('height', height * fig.ratio);\n",
       "            }\n",
       "            /* This rescales the canvas back to display pixels, so that it\n",
       "             * appears correct on HiDPI screens. */\n",
       "            canvas.style.width = width + 'px';\n",
       "            canvas.style.height = height + 'px';\n",
       "\n",
       "            rubberband_canvas.setAttribute('width', width);\n",
       "            rubberband_canvas.setAttribute('height', height);\n",
       "\n",
       "            // And update the size in Python. We ignore the initial 0/0 size\n",
       "            // that occurs as the element is placed into the DOM, which should\n",
       "            // otherwise not happen due to the minimum size styling.\n",
       "            if (fig.ws.readyState == 1 && width != 0 && height != 0) {\n",
       "                fig.request_resize(width, height);\n",
       "            }\n",
       "        }\n",
       "    });\n",
       "    this.resizeObserverInstance.observe(canvas_div);\n",
       "\n",
       "    function on_mouse_event_closure(name) {\n",
       "        /* User Agent sniffing is bad, but WebKit is busted:\n",
       "         * https://bugs.webkit.org/show_bug.cgi?id=144526\n",
       "         * https://bugs.webkit.org/show_bug.cgi?id=181818\n",
       "         * The worst that happens here is that they get an extra browser\n",
       "         * selection when dragging, if this check fails to catch them.\n",
       "         */\n",
       "        var UA = navigator.userAgent;\n",
       "        var isWebKit = /AppleWebKit/.test(UA) && !/Chrome/.test(UA);\n",
       "        if(isWebKit) {\n",
       "            return function (event) {\n",
       "                /* This prevents the web browser from automatically changing to\n",
       "                 * the text insertion cursor when the button is pressed. We\n",
       "                 * want to control all of the cursor setting manually through\n",
       "                 * the 'cursor' event from matplotlib */\n",
       "                event.preventDefault()\n",
       "                return fig.mouse_event(event, name);\n",
       "            };\n",
       "        } else {\n",
       "            return function (event) {\n",
       "                return fig.mouse_event(event, name);\n",
       "            };\n",
       "        }\n",
       "    }\n",
       "\n",
       "    canvas_div.addEventListener(\n",
       "        'mousedown',\n",
       "        on_mouse_event_closure('button_press')\n",
       "    );\n",
       "    canvas_div.addEventListener(\n",
       "        'mouseup',\n",
       "        on_mouse_event_closure('button_release')\n",
       "    );\n",
       "    canvas_div.addEventListener(\n",
       "        'dblclick',\n",
       "        on_mouse_event_closure('dblclick')\n",
       "    );\n",
       "    // Throttle sequential mouse events to 1 every 20ms.\n",
       "    canvas_div.addEventListener(\n",
       "        'mousemove',\n",
       "        on_mouse_event_closure('motion_notify')\n",
       "    );\n",
       "\n",
       "    canvas_div.addEventListener(\n",
       "        'mouseenter',\n",
       "        on_mouse_event_closure('figure_enter')\n",
       "    );\n",
       "    canvas_div.addEventListener(\n",
       "        'mouseleave',\n",
       "        on_mouse_event_closure('figure_leave')\n",
       "    );\n",
       "\n",
       "    canvas_div.addEventListener('wheel', function (event) {\n",
       "        if (event.deltaY < 0) {\n",
       "            event.step = 1;\n",
       "        } else {\n",
       "            event.step = -1;\n",
       "        }\n",
       "        on_mouse_event_closure('scroll')(event);\n",
       "    });\n",
       "\n",
       "    canvas_div.appendChild(canvas);\n",
       "    canvas_div.appendChild(rubberband_canvas);\n",
       "\n",
       "    this.rubberband_context = rubberband_canvas.getContext('2d');\n",
       "    this.rubberband_context.strokeStyle = '#000000';\n",
       "\n",
       "    this._resize_canvas = function (width, height, forward) {\n",
       "        if (forward) {\n",
       "            canvas_div.style.width = width + 'px';\n",
       "            canvas_div.style.height = height + 'px';\n",
       "        }\n",
       "    };\n",
       "\n",
       "    // Disable right mouse context menu.\n",
       "    canvas_div.addEventListener('contextmenu', function (_e) {\n",
       "        event.preventDefault();\n",
       "        return false;\n",
       "    });\n",
       "\n",
       "    function set_focus() {\n",
       "        canvas.focus();\n",
       "        canvas_div.focus();\n",
       "    }\n",
       "\n",
       "    window.setTimeout(set_focus, 100);\n",
       "};\n",
       "\n",
       "mpl.figure.prototype._init_toolbar = function () {\n",
       "    var fig = this;\n",
       "\n",
       "    var toolbar = document.createElement('div');\n",
       "    toolbar.classList = 'mpl-toolbar';\n",
       "    this.root.appendChild(toolbar);\n",
       "\n",
       "    function on_click_closure(name) {\n",
       "        return function (_event) {\n",
       "            return fig.toolbar_button_onclick(name);\n",
       "        };\n",
       "    }\n",
       "\n",
       "    function on_mouseover_closure(tooltip) {\n",
       "        return function (event) {\n",
       "            if (!event.currentTarget.disabled) {\n",
       "                return fig.toolbar_button_onmouseover(tooltip);\n",
       "            }\n",
       "        };\n",
       "    }\n",
       "\n",
       "    fig.buttons = {};\n",
       "    var buttonGroup = document.createElement('div');\n",
       "    buttonGroup.classList = 'mpl-button-group';\n",
       "    for (var toolbar_ind in mpl.toolbar_items) {\n",
       "        var name = mpl.toolbar_items[toolbar_ind][0];\n",
       "        var tooltip = mpl.toolbar_items[toolbar_ind][1];\n",
       "        var image = mpl.toolbar_items[toolbar_ind][2];\n",
       "        var method_name = mpl.toolbar_items[toolbar_ind][3];\n",
       "\n",
       "        if (!name) {\n",
       "            /* Instead of a spacer, we start a new button group. */\n",
       "            if (buttonGroup.hasChildNodes()) {\n",
       "                toolbar.appendChild(buttonGroup);\n",
       "            }\n",
       "            buttonGroup = document.createElement('div');\n",
       "            buttonGroup.classList = 'mpl-button-group';\n",
       "            continue;\n",
       "        }\n",
       "\n",
       "        var button = (fig.buttons[name] = document.createElement('button'));\n",
       "        button.classList = 'mpl-widget';\n",
       "        button.setAttribute('role', 'button');\n",
       "        button.setAttribute('aria-disabled', 'false');\n",
       "        button.addEventListener('click', on_click_closure(method_name));\n",
       "        button.addEventListener('mouseover', on_mouseover_closure(tooltip));\n",
       "\n",
       "        var icon_img = document.createElement('img');\n",
       "        icon_img.src = '_images/' + image + '.png';\n",
       "        icon_img.srcset = '_images/' + image + '_large.png 2x';\n",
       "        icon_img.alt = tooltip;\n",
       "        button.appendChild(icon_img);\n",
       "\n",
       "        buttonGroup.appendChild(button);\n",
       "    }\n",
       "\n",
       "    if (buttonGroup.hasChildNodes()) {\n",
       "        toolbar.appendChild(buttonGroup);\n",
       "    }\n",
       "\n",
       "    var fmt_picker = document.createElement('select');\n",
       "    fmt_picker.classList = 'mpl-widget';\n",
       "    toolbar.appendChild(fmt_picker);\n",
       "    this.format_dropdown = fmt_picker;\n",
       "\n",
       "    for (var ind in mpl.extensions) {\n",
       "        var fmt = mpl.extensions[ind];\n",
       "        var option = document.createElement('option');\n",
       "        option.selected = fmt === mpl.default_extension;\n",
       "        option.innerHTML = fmt;\n",
       "        fmt_picker.appendChild(option);\n",
       "    }\n",
       "\n",
       "    var status_bar = document.createElement('span');\n",
       "    status_bar.classList = 'mpl-message';\n",
       "    toolbar.appendChild(status_bar);\n",
       "    this.message = status_bar;\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.request_resize = function (x_pixels, y_pixels) {\n",
       "    // Request matplotlib to resize the figure. Matplotlib will then trigger a resize in the client,\n",
       "    // which will in turn request a refresh of the image.\n",
       "    this.send_message('resize', { width: x_pixels, height: y_pixels });\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.send_message = function (type, properties) {\n",
       "    properties['type'] = type;\n",
       "    properties['figure_id'] = this.id;\n",
       "    this.ws.send(JSON.stringify(properties));\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.send_draw_message = function () {\n",
       "    if (!this.waiting) {\n",
       "        this.waiting = true;\n",
       "        this.ws.send(JSON.stringify({ type: 'draw', figure_id: this.id }));\n",
       "    }\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.handle_save = function (fig, _msg) {\n",
       "    var format_dropdown = fig.format_dropdown;\n",
       "    var format = format_dropdown.options[format_dropdown.selectedIndex].value;\n",
       "    fig.ondownload(fig, format);\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.handle_resize = function (fig, msg) {\n",
       "    var size = msg['size'];\n",
       "    if (size[0] !== fig.canvas.width || size[1] !== fig.canvas.height) {\n",
       "        fig._resize_canvas(size[0], size[1], msg['forward']);\n",
       "        fig.send_message('refresh', {});\n",
       "    }\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.handle_rubberband = function (fig, msg) {\n",
       "    var x0 = msg['x0'] / fig.ratio;\n",
       "    var y0 = (fig.canvas.height - msg['y0']) / fig.ratio;\n",
       "    var x1 = msg['x1'] / fig.ratio;\n",
       "    var y1 = (fig.canvas.height - msg['y1']) / fig.ratio;\n",
       "    x0 = Math.floor(x0) + 0.5;\n",
       "    y0 = Math.floor(y0) + 0.5;\n",
       "    x1 = Math.floor(x1) + 0.5;\n",
       "    y1 = Math.floor(y1) + 0.5;\n",
       "    var min_x = Math.min(x0, x1);\n",
       "    var min_y = Math.min(y0, y1);\n",
       "    var width = Math.abs(x1 - x0);\n",
       "    var height = Math.abs(y1 - y0);\n",
       "\n",
       "    fig.rubberband_context.clearRect(\n",
       "        0,\n",
       "        0,\n",
       "        fig.canvas.width / fig.ratio,\n",
       "        fig.canvas.height / fig.ratio\n",
       "    );\n",
       "\n",
       "    fig.rubberband_context.strokeRect(min_x, min_y, width, height);\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.handle_figure_label = function (fig, msg) {\n",
       "    // Updates the figure title.\n",
       "    fig.header.textContent = msg['label'];\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.handle_cursor = function (fig, msg) {\n",
       "    fig.canvas_div.style.cursor = msg['cursor'];\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.handle_message = function (fig, msg) {\n",
       "    fig.message.textContent = msg['message'];\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.handle_draw = function (fig, _msg) {\n",
       "    // Request the server to send over a new figure.\n",
       "    fig.send_draw_message();\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.handle_image_mode = function (fig, msg) {\n",
       "    fig.image_mode = msg['mode'];\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.handle_history_buttons = function (fig, msg) {\n",
       "    for (var key in msg) {\n",
       "        if (!(key in fig.buttons)) {\n",
       "            continue;\n",
       "        }\n",
       "        fig.buttons[key].disabled = !msg[key];\n",
       "        fig.buttons[key].setAttribute('aria-disabled', !msg[key]);\n",
       "    }\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.handle_navigate_mode = function (fig, msg) {\n",
       "    if (msg['mode'] === 'PAN') {\n",
       "        fig.buttons['Pan'].classList.add('active');\n",
       "        fig.buttons['Zoom'].classList.remove('active');\n",
       "    } else if (msg['mode'] === 'ZOOM') {\n",
       "        fig.buttons['Pan'].classList.remove('active');\n",
       "        fig.buttons['Zoom'].classList.add('active');\n",
       "    } else {\n",
       "        fig.buttons['Pan'].classList.remove('active');\n",
       "        fig.buttons['Zoom'].classList.remove('active');\n",
       "    }\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.updated_canvas_event = function () {\n",
       "    // Called whenever the canvas gets updated.\n",
       "    this.send_message('ack', {});\n",
       "};\n",
       "\n",
       "// A function to construct a web socket function for onmessage handling.\n",
       "// Called in the figure constructor.\n",
       "mpl.figure.prototype._make_on_message_function = function (fig) {\n",
       "    return function socket_on_message(evt) {\n",
       "        if (evt.data instanceof Blob) {\n",
       "            var img = evt.data;\n",
       "            if (img.type !== 'image/png') {\n",
       "                /* FIXME: We get \"Resource interpreted as Image but\n",
       "                 * transferred with MIME type text/plain:\" errors on\n",
       "                 * Chrome.  But how to set the MIME type?  It doesn't seem\n",
       "                 * to be part of the websocket stream */\n",
       "                img.type = 'image/png';\n",
       "            }\n",
       "\n",
       "            /* Free the memory for the previous frames */\n",
       "            if (fig.imageObj.src) {\n",
       "                (window.URL || window.webkitURL).revokeObjectURL(\n",
       "                    fig.imageObj.src\n",
       "                );\n",
       "            }\n",
       "\n",
       "            fig.imageObj.src = (window.URL || window.webkitURL).createObjectURL(\n",
       "                img\n",
       "            );\n",
       "            fig.updated_canvas_event();\n",
       "            fig.waiting = false;\n",
       "            return;\n",
       "        } else if (\n",
       "            typeof evt.data === 'string' &&\n",
       "            evt.data.slice(0, 21) === 'data:image/png;base64'\n",
       "        ) {\n",
       "            fig.imageObj.src = evt.data;\n",
       "            fig.updated_canvas_event();\n",
       "            fig.waiting = false;\n",
       "            return;\n",
       "        }\n",
       "\n",
       "        var msg = JSON.parse(evt.data);\n",
       "        var msg_type = msg['type'];\n",
       "\n",
       "        // Call the  \"handle_{type}\" callback, which takes\n",
       "        // the figure and JSON message as its only arguments.\n",
       "        try {\n",
       "            var callback = fig['handle_' + msg_type];\n",
       "        } catch (e) {\n",
       "            console.log(\n",
       "                \"No handler for the '\" + msg_type + \"' message type: \",\n",
       "                msg\n",
       "            );\n",
       "            return;\n",
       "        }\n",
       "\n",
       "        if (callback) {\n",
       "            try {\n",
       "                // console.log(\"Handling '\" + msg_type + \"' message: \", msg);\n",
       "                callback(fig, msg);\n",
       "            } catch (e) {\n",
       "                console.log(\n",
       "                    \"Exception inside the 'handler_\" + msg_type + \"' callback:\",\n",
       "                    e,\n",
       "                    e.stack,\n",
       "                    msg\n",
       "                );\n",
       "            }\n",
       "        }\n",
       "    };\n",
       "};\n",
       "\n",
       "function getModifiers(event) {\n",
       "    var mods = [];\n",
       "    if (event.ctrlKey) {\n",
       "        mods.push('ctrl');\n",
       "    }\n",
       "    if (event.altKey) {\n",
       "        mods.push('alt');\n",
       "    }\n",
       "    if (event.shiftKey) {\n",
       "        mods.push('shift');\n",
       "    }\n",
       "    if (event.metaKey) {\n",
       "        mods.push('meta');\n",
       "    }\n",
       "    return mods;\n",
       "}\n",
       "\n",
       "/*\n",
       " * return a copy of an object with only non-object keys\n",
       " * we need this to avoid circular references\n",
       " * https://stackoverflow.com/a/24161582/3208463\n",
       " */\n",
       "function simpleKeys(original) {\n",
       "    return Object.keys(original).reduce(function (obj, key) {\n",
       "        if (typeof original[key] !== 'object') {\n",
       "            obj[key] = original[key];\n",
       "        }\n",
       "        return obj;\n",
       "    }, {});\n",
       "}\n",
       "\n",
       "mpl.figure.prototype.mouse_event = function (event, name) {\n",
       "    if (name === 'button_press') {\n",
       "        this.canvas.focus();\n",
       "        this.canvas_div.focus();\n",
       "    }\n",
       "\n",
       "    // from https://stackoverflow.com/q/1114465\n",
       "    var boundingRect = this.canvas.getBoundingClientRect();\n",
       "    var x = (event.clientX - boundingRect.left) * this.ratio;\n",
       "    var y = (event.clientY - boundingRect.top) * this.ratio;\n",
       "\n",
       "    this.send_message(name, {\n",
       "        x: x,\n",
       "        y: y,\n",
       "        button: event.button,\n",
       "        step: event.step,\n",
       "        modifiers: getModifiers(event),\n",
       "        guiEvent: simpleKeys(event),\n",
       "    });\n",
       "\n",
       "    return false;\n",
       "};\n",
       "\n",
       "mpl.figure.prototype._key_event_extra = function (_event, _name) {\n",
       "    // Handle any extra behaviour associated with a key event\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.key_event = function (event, name) {\n",
       "    // Prevent repeat events\n",
       "    if (name === 'key_press') {\n",
       "        if (event.key === this._key) {\n",
       "            return;\n",
       "        } else {\n",
       "            this._key = event.key;\n",
       "        }\n",
       "    }\n",
       "    if (name === 'key_release') {\n",
       "        this._key = null;\n",
       "    }\n",
       "\n",
       "    var value = '';\n",
       "    if (event.ctrlKey && event.key !== 'Control') {\n",
       "        value += 'ctrl+';\n",
       "    }\n",
       "    else if (event.altKey && event.key !== 'Alt') {\n",
       "        value += 'alt+';\n",
       "    }\n",
       "    else if (event.shiftKey && event.key !== 'Shift') {\n",
       "        value += 'shift+';\n",
       "    }\n",
       "\n",
       "    value += 'k' + event.key;\n",
       "\n",
       "    this._key_event_extra(event, name);\n",
       "\n",
       "    this.send_message(name, { key: value, guiEvent: simpleKeys(event) });\n",
       "    return false;\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.toolbar_button_onclick = function (name) {\n",
       "    if (name === 'download') {\n",
       "        this.handle_save(this, null);\n",
       "    } else {\n",
       "        this.send_message('toolbar_button', { name: name });\n",
       "    }\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.toolbar_button_onmouseover = function (tooltip) {\n",
       "    this.message.textContent = tooltip;\n",
       "};\n",
       "\n",
       "///////////////// REMAINING CONTENT GENERATED BY embed_js.py /////////////////\n",
       "// prettier-ignore\n",
       "var _JSXTOOLS_RESIZE_OBSERVER=function(A){var t,i=new WeakMap,n=new WeakMap,a=new WeakMap,r=new WeakMap,o=new Set;function s(e){if(!(this instanceof s))throw new TypeError(\"Constructor requires 'new' operator\");i.set(this,e)}function h(){throw new TypeError(\"Function is not a constructor\")}function c(e,t,i,n){e=0 in arguments?Number(arguments[0]):0,t=1 in arguments?Number(arguments[1]):0,i=2 in arguments?Number(arguments[2]):0,n=3 in arguments?Number(arguments[3]):0,this.right=(this.x=this.left=e)+(this.width=i),this.bottom=(this.y=this.top=t)+(this.height=n),Object.freeze(this)}function d(){t=requestAnimationFrame(d);var s=new WeakMap,p=new Set;o.forEach((function(t){r.get(t).forEach((function(i){var r=t instanceof window.SVGElement,o=a.get(t),d=r?0:parseFloat(o.paddingTop),f=r?0:parseFloat(o.paddingRight),l=r?0:parseFloat(o.paddingBottom),u=r?0:parseFloat(o.paddingLeft),g=r?0:parseFloat(o.borderTopWidth),m=r?0:parseFloat(o.borderRightWidth),w=r?0:parseFloat(o.borderBottomWidth),b=u+f,F=d+l,v=(r?0:parseFloat(o.borderLeftWidth))+m,W=g+w,y=r?0:t.offsetHeight-W-t.clientHeight,E=r?0:t.offsetWidth-v-t.clientWidth,R=b+v,z=F+W,M=r?t.width:parseFloat(o.width)-R-E,O=r?t.height:parseFloat(o.height)-z-y;if(n.has(t)){var k=n.get(t);if(k[0]===M&&k[1]===O)return}n.set(t,[M,O]);var S=Object.create(h.prototype);S.target=t,S.contentRect=new c(u,d,M,O),s.has(i)||(s.set(i,[]),p.add(i)),s.get(i).push(S)}))})),p.forEach((function(e){i.get(e).call(e,s.get(e),e)}))}return s.prototype.observe=function(i){if(i instanceof window.Element){r.has(i)||(r.set(i,new Set),o.add(i),a.set(i,window.getComputedStyle(i)));var n=r.get(i);n.has(this)||n.add(this),cancelAnimationFrame(t),t=requestAnimationFrame(d)}},s.prototype.unobserve=function(i){if(i instanceof window.Element&&r.has(i)){var n=r.get(i);n.has(this)&&(n.delete(this),n.size||(r.delete(i),o.delete(i))),n.size||r.delete(i),o.size||cancelAnimationFrame(t)}},A.DOMRectReadOnly=c,A.ResizeObserver=s,A.ResizeObserverEntry=h,A}; // eslint-disable-line\n",
       "mpl.toolbar_items = [[\"Home\", \"Reset original view\", \"fa fa-home\", \"home\"], [\"Back\", \"Back to previous view\", \"fa fa-arrow-left\", \"back\"], [\"Forward\", \"Forward to next view\", \"fa fa-arrow-right\", \"forward\"], [\"\", \"\", \"\", \"\"], [\"Pan\", \"Left button pans, Right button zooms\\nx/y fixes axis, CTRL fixes aspect\", \"fa fa-arrows\", \"pan\"], [\"Zoom\", \"Zoom to rectangle\\nx/y fixes axis\", \"fa fa-square-o\", \"zoom\"], [\"\", \"\", \"\", \"\"], [\"Download\", \"Download plot\", \"fa fa-floppy-o\", \"download\"]];\n",
       "\n",
       "mpl.extensions = [\"eps\", \"jpeg\", \"pgf\", \"pdf\", \"png\", \"ps\", \"raw\", \"svg\", \"tif\", \"webp\"];\n",
       "\n",
       "mpl.default_extension = \"png\";/* global mpl */\n",
       "\n",
       "var comm_websocket_adapter = function (comm) {\n",
       "    // Create a \"websocket\"-like object which calls the given IPython comm\n",
       "    // object with the appropriate methods. Currently this is a non binary\n",
       "    // socket, so there is still some room for performance tuning.\n",
       "    var ws = {};\n",
       "\n",
       "    ws.binaryType = comm.kernel.ws.binaryType;\n",
       "    ws.readyState = comm.kernel.ws.readyState;\n",
       "    function updateReadyState(_event) {\n",
       "        if (comm.kernel.ws) {\n",
       "            ws.readyState = comm.kernel.ws.readyState;\n",
       "        } else {\n",
       "            ws.readyState = 3; // Closed state.\n",
       "        }\n",
       "    }\n",
       "    comm.kernel.ws.addEventListener('open', updateReadyState);\n",
       "    comm.kernel.ws.addEventListener('close', updateReadyState);\n",
       "    comm.kernel.ws.addEventListener('error', updateReadyState);\n",
       "\n",
       "    ws.close = function () {\n",
       "        comm.close();\n",
       "    };\n",
       "    ws.send = function (m) {\n",
       "        //console.log('sending', m);\n",
       "        comm.send(m);\n",
       "    };\n",
       "    // Register the callback with on_msg.\n",
       "    comm.on_msg(function (msg) {\n",
       "        //console.log('receiving', msg['content']['data'], msg);\n",
       "        var data = msg['content']['data'];\n",
       "        if (data['blob'] !== undefined) {\n",
       "            data = {\n",
       "                data: new Blob(msg['buffers'], { type: data['blob'] }),\n",
       "            };\n",
       "        }\n",
       "        // Pass the mpl event to the overridden (by mpl) onmessage function.\n",
       "        ws.onmessage(data);\n",
       "    });\n",
       "    return ws;\n",
       "};\n",
       "\n",
       "mpl.mpl_figure_comm = function (comm, msg) {\n",
       "    // This is the function which gets called when the mpl process\n",
       "    // starts-up an IPython Comm through the \"matplotlib\" channel.\n",
       "\n",
       "    var id = msg.content.data.id;\n",
       "    // Get hold of the div created by the display call when the Comm\n",
       "    // socket was opened in Python.\n",
       "    var element = document.getElementById(id);\n",
       "    var ws_proxy = comm_websocket_adapter(comm);\n",
       "\n",
       "    function ondownload(figure, _format) {\n",
       "        window.open(figure.canvas.toDataURL());\n",
       "    }\n",
       "\n",
       "    var fig = new mpl.figure(id, ws_proxy, ondownload, element);\n",
       "\n",
       "    // Call onopen now - mpl needs it, as it is assuming we've passed it a real\n",
       "    // web socket which is closed, not our websocket->open comm proxy.\n",
       "    ws_proxy.onopen();\n",
       "\n",
       "    fig.parent_element = element;\n",
       "    fig.cell_info = mpl.find_output_cell(\"<div id='\" + id + \"'></div>\");\n",
       "    if (!fig.cell_info) {\n",
       "        console.error('Failed to find cell for figure', id, fig);\n",
       "        return;\n",
       "    }\n",
       "    fig.cell_info[0].output_area.element.on(\n",
       "        'cleared',\n",
       "        { fig: fig },\n",
       "        fig._remove_fig_handler\n",
       "    );\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.handle_close = function (fig, msg) {\n",
       "    var width = fig.canvas.width / fig.ratio;\n",
       "    fig.cell_info[0].output_area.element.off(\n",
       "        'cleared',\n",
       "        fig._remove_fig_handler\n",
       "    );\n",
       "    fig.resizeObserverInstance.unobserve(fig.canvas_div);\n",
       "\n",
       "    // Update the output cell to use the data from the current canvas.\n",
       "    fig.push_to_output();\n",
       "    var dataURL = fig.canvas.toDataURL();\n",
       "    // Re-enable the keyboard manager in IPython - without this line, in FF,\n",
       "    // the notebook keyboard shortcuts fail.\n",
       "    IPython.keyboard_manager.enable();\n",
       "    fig.parent_element.innerHTML =\n",
       "        '<img src=\"' + dataURL + '\" width=\"' + width + '\">';\n",
       "    fig.close_ws(fig, msg);\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.close_ws = function (fig, msg) {\n",
       "    fig.send_message('closing', msg);\n",
       "    // fig.ws.close()\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.push_to_output = function (_remove_interactive) {\n",
       "    // Turn the data on the canvas into data in the output cell.\n",
       "    var width = this.canvas.width / this.ratio;\n",
       "    var dataURL = this.canvas.toDataURL();\n",
       "    this.cell_info[1]['text/html'] =\n",
       "        '<img src=\"' + dataURL + '\" width=\"' + width + '\">';\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.updated_canvas_event = function () {\n",
       "    // Tell IPython that the notebook contents must change.\n",
       "    IPython.notebook.set_dirty(true);\n",
       "    this.send_message('ack', {});\n",
       "    var fig = this;\n",
       "    // Wait a second, then push the new image to the DOM so\n",
       "    // that it is saved nicely (might be nice to debounce this).\n",
       "    setTimeout(function () {\n",
       "        fig.push_to_output();\n",
       "    }, 1000);\n",
       "};\n",
       "\n",
       "mpl.figure.prototype._init_toolbar = function () {\n",
       "    var fig = this;\n",
       "\n",
       "    var toolbar = document.createElement('div');\n",
       "    toolbar.classList = 'btn-toolbar';\n",
       "    this.root.appendChild(toolbar);\n",
       "\n",
       "    function on_click_closure(name) {\n",
       "        return function (_event) {\n",
       "            return fig.toolbar_button_onclick(name);\n",
       "        };\n",
       "    }\n",
       "\n",
       "    function on_mouseover_closure(tooltip) {\n",
       "        return function (event) {\n",
       "            if (!event.currentTarget.disabled) {\n",
       "                return fig.toolbar_button_onmouseover(tooltip);\n",
       "            }\n",
       "        };\n",
       "    }\n",
       "\n",
       "    fig.buttons = {};\n",
       "    var buttonGroup = document.createElement('div');\n",
       "    buttonGroup.classList = 'btn-group';\n",
       "    var button;\n",
       "    for (var toolbar_ind in mpl.toolbar_items) {\n",
       "        var name = mpl.toolbar_items[toolbar_ind][0];\n",
       "        var tooltip = mpl.toolbar_items[toolbar_ind][1];\n",
       "        var image = mpl.toolbar_items[toolbar_ind][2];\n",
       "        var method_name = mpl.toolbar_items[toolbar_ind][3];\n",
       "\n",
       "        if (!name) {\n",
       "            /* Instead of a spacer, we start a new button group. */\n",
       "            if (buttonGroup.hasChildNodes()) {\n",
       "                toolbar.appendChild(buttonGroup);\n",
       "            }\n",
       "            buttonGroup = document.createElement('div');\n",
       "            buttonGroup.classList = 'btn-group';\n",
       "            continue;\n",
       "        }\n",
       "\n",
       "        button = fig.buttons[name] = document.createElement('button');\n",
       "        button.classList = 'btn btn-default';\n",
       "        button.href = '#';\n",
       "        button.title = name;\n",
       "        button.innerHTML = '<i class=\"fa ' + image + ' fa-lg\"></i>';\n",
       "        button.addEventListener('click', on_click_closure(method_name));\n",
       "        button.addEventListener('mouseover', on_mouseover_closure(tooltip));\n",
       "        buttonGroup.appendChild(button);\n",
       "    }\n",
       "\n",
       "    if (buttonGroup.hasChildNodes()) {\n",
       "        toolbar.appendChild(buttonGroup);\n",
       "    }\n",
       "\n",
       "    // Add the status bar.\n",
       "    var status_bar = document.createElement('span');\n",
       "    status_bar.classList = 'mpl-message pull-right';\n",
       "    toolbar.appendChild(status_bar);\n",
       "    this.message = status_bar;\n",
       "\n",
       "    // Add the close button to the window.\n",
       "    var buttongrp = document.createElement('div');\n",
       "    buttongrp.classList = 'btn-group inline pull-right';\n",
       "    button = document.createElement('button');\n",
       "    button.classList = 'btn btn-mini btn-primary';\n",
       "    button.href = '#';\n",
       "    button.title = 'Stop Interaction';\n",
       "    button.innerHTML = '<i class=\"fa fa-power-off icon-remove icon-large\"></i>';\n",
       "    button.addEventListener('click', function (_evt) {\n",
       "        fig.handle_close(fig, {});\n",
       "    });\n",
       "    button.addEventListener(\n",
       "        'mouseover',\n",
       "        on_mouseover_closure('Stop Interaction')\n",
       "    );\n",
       "    buttongrp.appendChild(button);\n",
       "    var titlebar = this.root.querySelector('.ui-dialog-titlebar');\n",
       "    titlebar.insertBefore(buttongrp, titlebar.firstChild);\n",
       "};\n",
       "\n",
       "mpl.figure.prototype._remove_fig_handler = function (event) {\n",
       "    var fig = event.data.fig;\n",
       "    if (event.target !== this) {\n",
       "        // Ignore bubbled events from children.\n",
       "        return;\n",
       "    }\n",
       "    fig.close_ws(fig, {});\n",
       "};\n",
       "\n",
       "mpl.figure.prototype._root_extra_style = function (el) {\n",
       "    el.style.boxSizing = 'content-box'; // override notebook setting of border-box.\n",
       "};\n",
       "\n",
       "mpl.figure.prototype._canvas_extra_style = function (el) {\n",
       "    // this is important to make the div 'focusable\n",
       "    el.setAttribute('tabindex', 0);\n",
       "    // reach out to IPython and tell the keyboard manager to turn it's self\n",
       "    // off when our div gets focus\n",
       "\n",
       "    // location in version 3\n",
       "    if (IPython.notebook.keyboard_manager) {\n",
       "        IPython.notebook.keyboard_manager.register_events(el);\n",
       "    } else {\n",
       "        // location in version 2\n",
       "        IPython.keyboard_manager.register_events(el);\n",
       "    }\n",
       "};\n",
       "\n",
       "mpl.figure.prototype._key_event_extra = function (event, _name) {\n",
       "    // Check for shift+enter\n",
       "    if (event.shiftKey && event.which === 13) {\n",
       "        this.canvas_div.blur();\n",
       "        // select the cell after this one\n",
       "        var index = IPython.notebook.find_cell_index(this.cell_info[0]);\n",
       "        IPython.notebook.select(index + 1);\n",
       "    }\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.handle_save = function (fig, _msg) {\n",
       "    fig.ondownload(fig, null);\n",
       "};\n",
       "\n",
       "mpl.find_output_cell = function (html_output) {\n",
       "    // Return the cell and output element which can be found *uniquely* in the notebook.\n",
       "    // Note - this is a bit hacky, but it is done because the \"notebook_saving.Notebook\"\n",
       "    // IPython event is triggered only after the cells have been serialised, which for\n",
       "    // our purposes (turning an active figure into a static one), is too late.\n",
       "    var cells = IPython.notebook.get_cells();\n",
       "    var ncells = cells.length;\n",
       "    for (var i = 0; i < ncells; i++) {\n",
       "        var cell = cells[i];\n",
       "        if (cell.cell_type === 'code') {\n",
       "            for (var j = 0; j < cell.output_area.outputs.length; j++) {\n",
       "                var data = cell.output_area.outputs[j];\n",
       "                if (data.data) {\n",
       "                    // IPython >= 3 moved mimebundle to data attribute of output\n",
       "                    data = data.data;\n",
       "                }\n",
       "                if (data['text/html'] === html_output) {\n",
       "                    return [cell, data, j];\n",
       "                }\n",
       "            }\n",
       "        }\n",
       "    }\n",
       "};\n",
       "\n",
       "// Register the function which deals with the matplotlib target/channel.\n",
       "// The kernel may be null if the page has been refreshed.\n",
       "if (IPython.notebook.kernel !== null) {\n",
       "    IPython.notebook.kernel.comm_manager.register_target(\n",
       "        'matplotlib',\n",
       "        mpl.mpl_figure_comm\n",
       "    );\n",
       "}\n"
      ],
      "text/plain": [
       "<IPython.core.display.Javascript object>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "text/html": [
       "<img src=\"data:image/png;base64,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\" width=\"640\">"
      ],
      "text/plain": [
       "<IPython.core.display.HTML object>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "eta=np.linspace(0,5,101);\n",
    "plt.figure()\n",
    "plt.xlabel(f'$f(\\eta)$')\n",
    "plt.ylabel(f'$\\eta$')\n",
    "plt.plot( 1-erf(eta/2),eta,'b')\n",
    "plt.grid()\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Second Stokes problem: Oscillating plate\n",
    "\n",
    "Let us assume a plate which moves with velocity $V \\cos(\\omega t)$ in the $x$-direction. Then, the velocity profile $u(y,t)$ is obtained as the solution to Stokes second problem as follows:\n",
    "\n",
    "$$u(y,t) = V e^{-k y} \\cos ( \\omega t - k y) \\ ,$$\n",
    "\n",
    "with $k=\\sqrt{\\omega / (2\\nu)}$. A non-dimensional form is then obtained as $u/V(k y, \\omega t)$ and visualised with the following code:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "application/javascript": [
       "/* Put everything inside the global mpl namespace */\n",
       "/* global mpl */\n",
       "window.mpl = {};\n",
       "\n",
       "mpl.get_websocket_type = function () {\n",
       "    if (typeof WebSocket !== 'undefined') {\n",
       "        return WebSocket;\n",
       "    } else if (typeof MozWebSocket !== 'undefined') {\n",
       "        return MozWebSocket;\n",
       "    } else {\n",
       "        alert(\n",
       "            'Your browser does not have WebSocket support. ' +\n",
       "                'Please try Chrome, Safari or Firefox ≥ 6. ' +\n",
       "                'Firefox 4 and 5 are also supported but you ' +\n",
       "                'have to enable WebSockets in about:config.'\n",
       "        );\n",
       "    }\n",
       "};\n",
       "\n",
       "mpl.figure = function (figure_id, websocket, ondownload, parent_element) {\n",
       "    this.id = figure_id;\n",
       "\n",
       "    this.ws = websocket;\n",
       "\n",
       "    this.supports_binary = this.ws.binaryType !== undefined;\n",
       "\n",
       "    if (!this.supports_binary) {\n",
       "        var warnings = document.getElementById('mpl-warnings');\n",
       "        if (warnings) {\n",
       "            warnings.style.display = 'block';\n",
       "            warnings.textContent =\n",
       "                'This browser does not support binary websocket messages. ' +\n",
       "                'Performance may be slow.';\n",
       "        }\n",
       "    }\n",
       "\n",
       "    this.imageObj = new Image();\n",
       "\n",
       "    this.context = undefined;\n",
       "    this.message = undefined;\n",
       "    this.canvas = undefined;\n",
       "    this.rubberband_canvas = undefined;\n",
       "    this.rubberband_context = undefined;\n",
       "    this.format_dropdown = undefined;\n",
       "\n",
       "    this.image_mode = 'full';\n",
       "\n",
       "    this.root = document.createElement('div');\n",
       "    this.root.setAttribute('style', 'display: inline-block');\n",
       "    this._root_extra_style(this.root);\n",
       "\n",
       "    parent_element.appendChild(this.root);\n",
       "\n",
       "    this._init_header(this);\n",
       "    this._init_canvas(this);\n",
       "    this._init_toolbar(this);\n",
       "\n",
       "    var fig = this;\n",
       "\n",
       "    this.waiting = false;\n",
       "\n",
       "    this.ws.onopen = function () {\n",
       "        fig.send_message('supports_binary', { value: fig.supports_binary });\n",
       "        fig.send_message('send_image_mode', {});\n",
       "        if (fig.ratio !== 1) {\n",
       "            fig.send_message('set_device_pixel_ratio', {\n",
       "                device_pixel_ratio: fig.ratio,\n",
       "            });\n",
       "        }\n",
       "        fig.send_message('refresh', {});\n",
       "    };\n",
       "\n",
       "    this.imageObj.onload = function () {\n",
       "        if (fig.image_mode === 'full') {\n",
       "            // Full images could contain transparency (where diff images\n",
       "            // almost always do), so we need to clear the canvas so that\n",
       "            // there is no ghosting.\n",
       "            fig.context.clearRect(0, 0, fig.canvas.width, fig.canvas.height);\n",
       "        }\n",
       "        fig.context.drawImage(fig.imageObj, 0, 0);\n",
       "    };\n",
       "\n",
       "    this.imageObj.onunload = function () {\n",
       "        fig.ws.close();\n",
       "    };\n",
       "\n",
       "    this.ws.onmessage = this._make_on_message_function(this);\n",
       "\n",
       "    this.ondownload = ondownload;\n",
       "};\n",
       "\n",
       "mpl.figure.prototype._init_header = function () {\n",
       "    var titlebar = document.createElement('div');\n",
       "    titlebar.classList =\n",
       "        'ui-dialog-titlebar ui-widget-header ui-corner-all ui-helper-clearfix';\n",
       "    var titletext = document.createElement('div');\n",
       "    titletext.classList = 'ui-dialog-title';\n",
       "    titletext.setAttribute(\n",
       "        'style',\n",
       "        'width: 100%; text-align: center; padding: 3px;'\n",
       "    );\n",
       "    titlebar.appendChild(titletext);\n",
       "    this.root.appendChild(titlebar);\n",
       "    this.header = titletext;\n",
       "};\n",
       "\n",
       "mpl.figure.prototype._canvas_extra_style = function (_canvas_div) {};\n",
       "\n",
       "mpl.figure.prototype._root_extra_style = function (_canvas_div) {};\n",
       "\n",
       "mpl.figure.prototype._init_canvas = function () {\n",
       "    var fig = this;\n",
       "\n",
       "    var canvas_div = (this.canvas_div = document.createElement('div'));\n",
       "    canvas_div.setAttribute('tabindex', '0');\n",
       "    canvas_div.setAttribute(\n",
       "        'style',\n",
       "        'border: 1px solid #ddd;' +\n",
       "            'box-sizing: content-box;' +\n",
       "            'clear: both;' +\n",
       "            'min-height: 1px;' +\n",
       "            'min-width: 1px;' +\n",
       "            'outline: 0;' +\n",
       "            'overflow: hidden;' +\n",
       "            'position: relative;' +\n",
       "            'resize: both;' +\n",
       "            'z-index: 2;'\n",
       "    );\n",
       "\n",
       "    function on_keyboard_event_closure(name) {\n",
       "        return function (event) {\n",
       "            return fig.key_event(event, name);\n",
       "        };\n",
       "    }\n",
       "\n",
       "    canvas_div.addEventListener(\n",
       "        'keydown',\n",
       "        on_keyboard_event_closure('key_press')\n",
       "    );\n",
       "    canvas_div.addEventListener(\n",
       "        'keyup',\n",
       "        on_keyboard_event_closure('key_release')\n",
       "    );\n",
       "\n",
       "    this._canvas_extra_style(canvas_div);\n",
       "    this.root.appendChild(canvas_div);\n",
       "\n",
       "    var canvas = (this.canvas = document.createElement('canvas'));\n",
       "    canvas.classList.add('mpl-canvas');\n",
       "    canvas.setAttribute(\n",
       "        'style',\n",
       "        'box-sizing: content-box;' +\n",
       "            'pointer-events: none;' +\n",
       "            'position: relative;' +\n",
       "            'z-index: 0;'\n",
       "    );\n",
       "\n",
       "    this.context = canvas.getContext('2d');\n",
       "\n",
       "    var backingStore =\n",
       "        this.context.backingStorePixelRatio ||\n",
       "        this.context.webkitBackingStorePixelRatio ||\n",
       "        this.context.mozBackingStorePixelRatio ||\n",
       "        this.context.msBackingStorePixelRatio ||\n",
       "        this.context.oBackingStorePixelRatio ||\n",
       "        this.context.backingStorePixelRatio ||\n",
       "        1;\n",
       "\n",
       "    this.ratio = (window.devicePixelRatio || 1) / backingStore;\n",
       "\n",
       "    var rubberband_canvas = (this.rubberband_canvas = document.createElement(\n",
       "        'canvas'\n",
       "    ));\n",
       "    rubberband_canvas.setAttribute(\n",
       "        'style',\n",
       "        'box-sizing: content-box;' +\n",
       "            'left: 0;' +\n",
       "            'pointer-events: none;' +\n",
       "            'position: absolute;' +\n",
       "            'top: 0;' +\n",
       "            'z-index: 1;'\n",
       "    );\n",
       "\n",
       "    // Apply a ponyfill if ResizeObserver is not implemented by browser.\n",
       "    if (this.ResizeObserver === undefined) {\n",
       "        if (window.ResizeObserver !== undefined) {\n",
       "            this.ResizeObserver = window.ResizeObserver;\n",
       "        } else {\n",
       "            var obs = _JSXTOOLS_RESIZE_OBSERVER({});\n",
       "            this.ResizeObserver = obs.ResizeObserver;\n",
       "        }\n",
       "    }\n",
       "\n",
       "    this.resizeObserverInstance = new this.ResizeObserver(function (entries) {\n",
       "        var nentries = entries.length;\n",
       "        for (var i = 0; i < nentries; i++) {\n",
       "            var entry = entries[i];\n",
       "            var width, height;\n",
       "            if (entry.contentBoxSize) {\n",
       "                if (entry.contentBoxSize instanceof Array) {\n",
       "                    // Chrome 84 implements new version of spec.\n",
       "                    width = entry.contentBoxSize[0].inlineSize;\n",
       "                    height = entry.contentBoxSize[0].blockSize;\n",
       "                } else {\n",
       "                    // Firefox implements old version of spec.\n",
       "                    width = entry.contentBoxSize.inlineSize;\n",
       "                    height = entry.contentBoxSize.blockSize;\n",
       "                }\n",
       "            } else {\n",
       "                // Chrome <84 implements even older version of spec.\n",
       "                width = entry.contentRect.width;\n",
       "                height = entry.contentRect.height;\n",
       "            }\n",
       "\n",
       "            // Keep the size of the canvas and rubber band canvas in sync with\n",
       "            // the canvas container.\n",
       "            if (entry.devicePixelContentBoxSize) {\n",
       "                // Chrome 84 implements new version of spec.\n",
       "                canvas.setAttribute(\n",
       "                    'width',\n",
       "                    entry.devicePixelContentBoxSize[0].inlineSize\n",
       "                );\n",
       "                canvas.setAttribute(\n",
       "                    'height',\n",
       "                    entry.devicePixelContentBoxSize[0].blockSize\n",
       "                );\n",
       "            } else {\n",
       "                canvas.setAttribute('width', width * fig.ratio);\n",
       "                canvas.setAttribute('height', height * fig.ratio);\n",
       "            }\n",
       "            /* This rescales the canvas back to display pixels, so that it\n",
       "             * appears correct on HiDPI screens. */\n",
       "            canvas.style.width = width + 'px';\n",
       "            canvas.style.height = height + 'px';\n",
       "\n",
       "            rubberband_canvas.setAttribute('width', width);\n",
       "            rubberband_canvas.setAttribute('height', height);\n",
       "\n",
       "            // And update the size in Python. We ignore the initial 0/0 size\n",
       "            // that occurs as the element is placed into the DOM, which should\n",
       "            // otherwise not happen due to the minimum size styling.\n",
       "            if (fig.ws.readyState == 1 && width != 0 && height != 0) {\n",
       "                fig.request_resize(width, height);\n",
       "            }\n",
       "        }\n",
       "    });\n",
       "    this.resizeObserverInstance.observe(canvas_div);\n",
       "\n",
       "    function on_mouse_event_closure(name) {\n",
       "        /* User Agent sniffing is bad, but WebKit is busted:\n",
       "         * https://bugs.webkit.org/show_bug.cgi?id=144526\n",
       "         * https://bugs.webkit.org/show_bug.cgi?id=181818\n",
       "         * The worst that happens here is that they get an extra browser\n",
       "         * selection when dragging, if this check fails to catch them.\n",
       "         */\n",
       "        var UA = navigator.userAgent;\n",
       "        var isWebKit = /AppleWebKit/.test(UA) && !/Chrome/.test(UA);\n",
       "        if(isWebKit) {\n",
       "            return function (event) {\n",
       "                /* This prevents the web browser from automatically changing to\n",
       "                 * the text insertion cursor when the button is pressed. We\n",
       "                 * want to control all of the cursor setting manually through\n",
       "                 * the 'cursor' event from matplotlib */\n",
       "                event.preventDefault()\n",
       "                return fig.mouse_event(event, name);\n",
       "            };\n",
       "        } else {\n",
       "            return function (event) {\n",
       "                return fig.mouse_event(event, name);\n",
       "            };\n",
       "        }\n",
       "    }\n",
       "\n",
       "    canvas_div.addEventListener(\n",
       "        'mousedown',\n",
       "        on_mouse_event_closure('button_press')\n",
       "    );\n",
       "    canvas_div.addEventListener(\n",
       "        'mouseup',\n",
       "        on_mouse_event_closure('button_release')\n",
       "    );\n",
       "    canvas_div.addEventListener(\n",
       "        'dblclick',\n",
       "        on_mouse_event_closure('dblclick')\n",
       "    );\n",
       "    // Throttle sequential mouse events to 1 every 20ms.\n",
       "    canvas_div.addEventListener(\n",
       "        'mousemove',\n",
       "        on_mouse_event_closure('motion_notify')\n",
       "    );\n",
       "\n",
       "    canvas_div.addEventListener(\n",
       "        'mouseenter',\n",
       "        on_mouse_event_closure('figure_enter')\n",
       "    );\n",
       "    canvas_div.addEventListener(\n",
       "        'mouseleave',\n",
       "        on_mouse_event_closure('figure_leave')\n",
       "    );\n",
       "\n",
       "    canvas_div.addEventListener('wheel', function (event) {\n",
       "        if (event.deltaY < 0) {\n",
       "            event.step = 1;\n",
       "        } else {\n",
       "            event.step = -1;\n",
       "        }\n",
       "        on_mouse_event_closure('scroll')(event);\n",
       "    });\n",
       "\n",
       "    canvas_div.appendChild(canvas);\n",
       "    canvas_div.appendChild(rubberband_canvas);\n",
       "\n",
       "    this.rubberband_context = rubberband_canvas.getContext('2d');\n",
       "    this.rubberband_context.strokeStyle = '#000000';\n",
       "\n",
       "    this._resize_canvas = function (width, height, forward) {\n",
       "        if (forward) {\n",
       "            canvas_div.style.width = width + 'px';\n",
       "            canvas_div.style.height = height + 'px';\n",
       "        }\n",
       "    };\n",
       "\n",
       "    // Disable right mouse context menu.\n",
       "    canvas_div.addEventListener('contextmenu', function (_e) {\n",
       "        event.preventDefault();\n",
       "        return false;\n",
       "    });\n",
       "\n",
       "    function set_focus() {\n",
       "        canvas.focus();\n",
       "        canvas_div.focus();\n",
       "    }\n",
       "\n",
       "    window.setTimeout(set_focus, 100);\n",
       "};\n",
       "\n",
       "mpl.figure.prototype._init_toolbar = function () {\n",
       "    var fig = this;\n",
       "\n",
       "    var toolbar = document.createElement('div');\n",
       "    toolbar.classList = 'mpl-toolbar';\n",
       "    this.root.appendChild(toolbar);\n",
       "\n",
       "    function on_click_closure(name) {\n",
       "        return function (_event) {\n",
       "            return fig.toolbar_button_onclick(name);\n",
       "        };\n",
       "    }\n",
       "\n",
       "    function on_mouseover_closure(tooltip) {\n",
       "        return function (event) {\n",
       "            if (!event.currentTarget.disabled) {\n",
       "                return fig.toolbar_button_onmouseover(tooltip);\n",
       "            }\n",
       "        };\n",
       "    }\n",
       "\n",
       "    fig.buttons = {};\n",
       "    var buttonGroup = document.createElement('div');\n",
       "    buttonGroup.classList = 'mpl-button-group';\n",
       "    for (var toolbar_ind in mpl.toolbar_items) {\n",
       "        var name = mpl.toolbar_items[toolbar_ind][0];\n",
       "        var tooltip = mpl.toolbar_items[toolbar_ind][1];\n",
       "        var image = mpl.toolbar_items[toolbar_ind][2];\n",
       "        var method_name = mpl.toolbar_items[toolbar_ind][3];\n",
       "\n",
       "        if (!name) {\n",
       "            /* Instead of a spacer, we start a new button group. */\n",
       "            if (buttonGroup.hasChildNodes()) {\n",
       "                toolbar.appendChild(buttonGroup);\n",
       "            }\n",
       "            buttonGroup = document.createElement('div');\n",
       "            buttonGroup.classList = 'mpl-button-group';\n",
       "            continue;\n",
       "        }\n",
       "\n",
       "        var button = (fig.buttons[name] = document.createElement('button'));\n",
       "        button.classList = 'mpl-widget';\n",
       "        button.setAttribute('role', 'button');\n",
       "        button.setAttribute('aria-disabled', 'false');\n",
       "        button.addEventListener('click', on_click_closure(method_name));\n",
       "        button.addEventListener('mouseover', on_mouseover_closure(tooltip));\n",
       "\n",
       "        var icon_img = document.createElement('img');\n",
       "        icon_img.src = '_images/' + image + '.png';\n",
       "        icon_img.srcset = '_images/' + image + '_large.png 2x';\n",
       "        icon_img.alt = tooltip;\n",
       "        button.appendChild(icon_img);\n",
       "\n",
       "        buttonGroup.appendChild(button);\n",
       "    }\n",
       "\n",
       "    if (buttonGroup.hasChildNodes()) {\n",
       "        toolbar.appendChild(buttonGroup);\n",
       "    }\n",
       "\n",
       "    var fmt_picker = document.createElement('select');\n",
       "    fmt_picker.classList = 'mpl-widget';\n",
       "    toolbar.appendChild(fmt_picker);\n",
       "    this.format_dropdown = fmt_picker;\n",
       "\n",
       "    for (var ind in mpl.extensions) {\n",
       "        var fmt = mpl.extensions[ind];\n",
       "        var option = document.createElement('option');\n",
       "        option.selected = fmt === mpl.default_extension;\n",
       "        option.innerHTML = fmt;\n",
       "        fmt_picker.appendChild(option);\n",
       "    }\n",
       "\n",
       "    var status_bar = document.createElement('span');\n",
       "    status_bar.classList = 'mpl-message';\n",
       "    toolbar.appendChild(status_bar);\n",
       "    this.message = status_bar;\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.request_resize = function (x_pixels, y_pixels) {\n",
       "    // Request matplotlib to resize the figure. Matplotlib will then trigger a resize in the client,\n",
       "    // which will in turn request a refresh of the image.\n",
       "    this.send_message('resize', { width: x_pixels, height: y_pixels });\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.send_message = function (type, properties) {\n",
       "    properties['type'] = type;\n",
       "    properties['figure_id'] = this.id;\n",
       "    this.ws.send(JSON.stringify(properties));\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.send_draw_message = function () {\n",
       "    if (!this.waiting) {\n",
       "        this.waiting = true;\n",
       "        this.ws.send(JSON.stringify({ type: 'draw', figure_id: this.id }));\n",
       "    }\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.handle_save = function (fig, _msg) {\n",
       "    var format_dropdown = fig.format_dropdown;\n",
       "    var format = format_dropdown.options[format_dropdown.selectedIndex].value;\n",
       "    fig.ondownload(fig, format);\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.handle_resize = function (fig, msg) {\n",
       "    var size = msg['size'];\n",
       "    if (size[0] !== fig.canvas.width || size[1] !== fig.canvas.height) {\n",
       "        fig._resize_canvas(size[0], size[1], msg['forward']);\n",
       "        fig.send_message('refresh', {});\n",
       "    }\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.handle_rubberband = function (fig, msg) {\n",
       "    var x0 = msg['x0'] / fig.ratio;\n",
       "    var y0 = (fig.canvas.height - msg['y0']) / fig.ratio;\n",
       "    var x1 = msg['x1'] / fig.ratio;\n",
       "    var y1 = (fig.canvas.height - msg['y1']) / fig.ratio;\n",
       "    x0 = Math.floor(x0) + 0.5;\n",
       "    y0 = Math.floor(y0) + 0.5;\n",
       "    x1 = Math.floor(x1) + 0.5;\n",
       "    y1 = Math.floor(y1) + 0.5;\n",
       "    var min_x = Math.min(x0, x1);\n",
       "    var min_y = Math.min(y0, y1);\n",
       "    var width = Math.abs(x1 - x0);\n",
       "    var height = Math.abs(y1 - y0);\n",
       "\n",
       "    fig.rubberband_context.clearRect(\n",
       "        0,\n",
       "        0,\n",
       "        fig.canvas.width / fig.ratio,\n",
       "        fig.canvas.height / fig.ratio\n",
       "    );\n",
       "\n",
       "    fig.rubberband_context.strokeRect(min_x, min_y, width, height);\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.handle_figure_label = function (fig, msg) {\n",
       "    // Updates the figure title.\n",
       "    fig.header.textContent = msg['label'];\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.handle_cursor = function (fig, msg) {\n",
       "    fig.canvas_div.style.cursor = msg['cursor'];\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.handle_message = function (fig, msg) {\n",
       "    fig.message.textContent = msg['message'];\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.handle_draw = function (fig, _msg) {\n",
       "    // Request the server to send over a new figure.\n",
       "    fig.send_draw_message();\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.handle_image_mode = function (fig, msg) {\n",
       "    fig.image_mode = msg['mode'];\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.handle_history_buttons = function (fig, msg) {\n",
       "    for (var key in msg) {\n",
       "        if (!(key in fig.buttons)) {\n",
       "            continue;\n",
       "        }\n",
       "        fig.buttons[key].disabled = !msg[key];\n",
       "        fig.buttons[key].setAttribute('aria-disabled', !msg[key]);\n",
       "    }\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.handle_navigate_mode = function (fig, msg) {\n",
       "    if (msg['mode'] === 'PAN') {\n",
       "        fig.buttons['Pan'].classList.add('active');\n",
       "        fig.buttons['Zoom'].classList.remove('active');\n",
       "    } else if (msg['mode'] === 'ZOOM') {\n",
       "        fig.buttons['Pan'].classList.remove('active');\n",
       "        fig.buttons['Zoom'].classList.add('active');\n",
       "    } else {\n",
       "        fig.buttons['Pan'].classList.remove('active');\n",
       "        fig.buttons['Zoom'].classList.remove('active');\n",
       "    }\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.updated_canvas_event = function () {\n",
       "    // Called whenever the canvas gets updated.\n",
       "    this.send_message('ack', {});\n",
       "};\n",
       "\n",
       "// A function to construct a web socket function for onmessage handling.\n",
       "// Called in the figure constructor.\n",
       "mpl.figure.prototype._make_on_message_function = function (fig) {\n",
       "    return function socket_on_message(evt) {\n",
       "        if (evt.data instanceof Blob) {\n",
       "            var img = evt.data;\n",
       "            if (img.type !== 'image/png') {\n",
       "                /* FIXME: We get \"Resource interpreted as Image but\n",
       "                 * transferred with MIME type text/plain:\" errors on\n",
       "                 * Chrome.  But how to set the MIME type?  It doesn't seem\n",
       "                 * to be part of the websocket stream */\n",
       "                img.type = 'image/png';\n",
       "            }\n",
       "\n",
       "            /* Free the memory for the previous frames */\n",
       "            if (fig.imageObj.src) {\n",
       "                (window.URL || window.webkitURL).revokeObjectURL(\n",
       "                    fig.imageObj.src\n",
       "                );\n",
       "            }\n",
       "\n",
       "            fig.imageObj.src = (window.URL || window.webkitURL).createObjectURL(\n",
       "                img\n",
       "            );\n",
       "            fig.updated_canvas_event();\n",
       "            fig.waiting = false;\n",
       "            return;\n",
       "        } else if (\n",
       "            typeof evt.data === 'string' &&\n",
       "            evt.data.slice(0, 21) === 'data:image/png;base64'\n",
       "        ) {\n",
       "            fig.imageObj.src = evt.data;\n",
       "            fig.updated_canvas_event();\n",
       "            fig.waiting = false;\n",
       "            return;\n",
       "        }\n",
       "\n",
       "        var msg = JSON.parse(evt.data);\n",
       "        var msg_type = msg['type'];\n",
       "\n",
       "        // Call the  \"handle_{type}\" callback, which takes\n",
       "        // the figure and JSON message as its only arguments.\n",
       "        try {\n",
       "            var callback = fig['handle_' + msg_type];\n",
       "        } catch (e) {\n",
       "            console.log(\n",
       "                \"No handler for the '\" + msg_type + \"' message type: \",\n",
       "                msg\n",
       "            );\n",
       "            return;\n",
       "        }\n",
       "\n",
       "        if (callback) {\n",
       "            try {\n",
       "                // console.log(\"Handling '\" + msg_type + \"' message: \", msg);\n",
       "                callback(fig, msg);\n",
       "            } catch (e) {\n",
       "                console.log(\n",
       "                    \"Exception inside the 'handler_\" + msg_type + \"' callback:\",\n",
       "                    e,\n",
       "                    e.stack,\n",
       "                    msg\n",
       "                );\n",
       "            }\n",
       "        }\n",
       "    };\n",
       "};\n",
       "\n",
       "function getModifiers(event) {\n",
       "    var mods = [];\n",
       "    if (event.ctrlKey) {\n",
       "        mods.push('ctrl');\n",
       "    }\n",
       "    if (event.altKey) {\n",
       "        mods.push('alt');\n",
       "    }\n",
       "    if (event.shiftKey) {\n",
       "        mods.push('shift');\n",
       "    }\n",
       "    if (event.metaKey) {\n",
       "        mods.push('meta');\n",
       "    }\n",
       "    return mods;\n",
       "}\n",
       "\n",
       "/*\n",
       " * return a copy of an object with only non-object keys\n",
       " * we need this to avoid circular references\n",
       " * https://stackoverflow.com/a/24161582/3208463\n",
       " */\n",
       "function simpleKeys(original) {\n",
       "    return Object.keys(original).reduce(function (obj, key) {\n",
       "        if (typeof original[key] !== 'object') {\n",
       "            obj[key] = original[key];\n",
       "        }\n",
       "        return obj;\n",
       "    }, {});\n",
       "}\n",
       "\n",
       "mpl.figure.prototype.mouse_event = function (event, name) {\n",
       "    if (name === 'button_press') {\n",
       "        this.canvas.focus();\n",
       "        this.canvas_div.focus();\n",
       "    }\n",
       "\n",
       "    // from https://stackoverflow.com/q/1114465\n",
       "    var boundingRect = this.canvas.getBoundingClientRect();\n",
       "    var x = (event.clientX - boundingRect.left) * this.ratio;\n",
       "    var y = (event.clientY - boundingRect.top) * this.ratio;\n",
       "\n",
       "    this.send_message(name, {\n",
       "        x: x,\n",
       "        y: y,\n",
       "        button: event.button,\n",
       "        step: event.step,\n",
       "        modifiers: getModifiers(event),\n",
       "        guiEvent: simpleKeys(event),\n",
       "    });\n",
       "\n",
       "    return false;\n",
       "};\n",
       "\n",
       "mpl.figure.prototype._key_event_extra = function (_event, _name) {\n",
       "    // Handle any extra behaviour associated with a key event\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.key_event = function (event, name) {\n",
       "    // Prevent repeat events\n",
       "    if (name === 'key_press') {\n",
       "        if (event.key === this._key) {\n",
       "            return;\n",
       "        } else {\n",
       "            this._key = event.key;\n",
       "        }\n",
       "    }\n",
       "    if (name === 'key_release') {\n",
       "        this._key = null;\n",
       "    }\n",
       "\n",
       "    var value = '';\n",
       "    if (event.ctrlKey && event.key !== 'Control') {\n",
       "        value += 'ctrl+';\n",
       "    }\n",
       "    else if (event.altKey && event.key !== 'Alt') {\n",
       "        value += 'alt+';\n",
       "    }\n",
       "    else if (event.shiftKey && event.key !== 'Shift') {\n",
       "        value += 'shift+';\n",
       "    }\n",
       "\n",
       "    value += 'k' + event.key;\n",
       "\n",
       "    this._key_event_extra(event, name);\n",
       "\n",
       "    this.send_message(name, { key: value, guiEvent: simpleKeys(event) });\n",
       "    return false;\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.toolbar_button_onclick = function (name) {\n",
       "    if (name === 'download') {\n",
       "        this.handle_save(this, null);\n",
       "    } else {\n",
       "        this.send_message('toolbar_button', { name: name });\n",
       "    }\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.toolbar_button_onmouseover = function (tooltip) {\n",
       "    this.message.textContent = tooltip;\n",
       "};\n",
       "\n",
       "///////////////// REMAINING CONTENT GENERATED BY embed_js.py /////////////////\n",
       "// prettier-ignore\n",
       "var _JSXTOOLS_RESIZE_OBSERVER=function(A){var t,i=new WeakMap,n=new WeakMap,a=new WeakMap,r=new WeakMap,o=new Set;function s(e){if(!(this instanceof s))throw new TypeError(\"Constructor requires 'new' operator\");i.set(this,e)}function h(){throw new TypeError(\"Function is not a constructor\")}function c(e,t,i,n){e=0 in arguments?Number(arguments[0]):0,t=1 in arguments?Number(arguments[1]):0,i=2 in arguments?Number(arguments[2]):0,n=3 in arguments?Number(arguments[3]):0,this.right=(this.x=this.left=e)+(this.width=i),this.bottom=(this.y=this.top=t)+(this.height=n),Object.freeze(this)}function d(){t=requestAnimationFrame(d);var s=new WeakMap,p=new Set;o.forEach((function(t){r.get(t).forEach((function(i){var r=t instanceof window.SVGElement,o=a.get(t),d=r?0:parseFloat(o.paddingTop),f=r?0:parseFloat(o.paddingRight),l=r?0:parseFloat(o.paddingBottom),u=r?0:parseFloat(o.paddingLeft),g=r?0:parseFloat(o.borderTopWidth),m=r?0:parseFloat(o.borderRightWidth),w=r?0:parseFloat(o.borderBottomWidth),b=u+f,F=d+l,v=(r?0:parseFloat(o.borderLeftWidth))+m,W=g+w,y=r?0:t.offsetHeight-W-t.clientHeight,E=r?0:t.offsetWidth-v-t.clientWidth,R=b+v,z=F+W,M=r?t.width:parseFloat(o.width)-R-E,O=r?t.height:parseFloat(o.height)-z-y;if(n.has(t)){var k=n.get(t);if(k[0]===M&&k[1]===O)return}n.set(t,[M,O]);var S=Object.create(h.prototype);S.target=t,S.contentRect=new c(u,d,M,O),s.has(i)||(s.set(i,[]),p.add(i)),s.get(i).push(S)}))})),p.forEach((function(e){i.get(e).call(e,s.get(e),e)}))}return s.prototype.observe=function(i){if(i instanceof window.Element){r.has(i)||(r.set(i,new Set),o.add(i),a.set(i,window.getComputedStyle(i)));var n=r.get(i);n.has(this)||n.add(this),cancelAnimationFrame(t),t=requestAnimationFrame(d)}},s.prototype.unobserve=function(i){if(i instanceof window.Element&&r.has(i)){var n=r.get(i);n.has(this)&&(n.delete(this),n.size||(r.delete(i),o.delete(i))),n.size||r.delete(i),o.size||cancelAnimationFrame(t)}},A.DOMRectReadOnly=c,A.ResizeObserver=s,A.ResizeObserverEntry=h,A}; // eslint-disable-line\n",
       "mpl.toolbar_items = [[\"Home\", \"Reset original view\", \"fa fa-home\", \"home\"], [\"Back\", \"Back to previous view\", \"fa fa-arrow-left\", \"back\"], [\"Forward\", \"Forward to next view\", \"fa fa-arrow-right\", \"forward\"], [\"\", \"\", \"\", \"\"], [\"Pan\", \"Left button pans, Right button zooms\\nx/y fixes axis, CTRL fixes aspect\", \"fa fa-arrows\", \"pan\"], [\"Zoom\", \"Zoom to rectangle\\nx/y fixes axis\", \"fa fa-square-o\", \"zoom\"], [\"\", \"\", \"\", \"\"], [\"Download\", \"Download plot\", \"fa fa-floppy-o\", \"download\"]];\n",
       "\n",
       "mpl.extensions = [\"eps\", \"jpeg\", \"pgf\", \"pdf\", \"png\", \"ps\", \"raw\", \"svg\", \"tif\", \"webp\"];\n",
       "\n",
       "mpl.default_extension = \"png\";/* global mpl */\n",
       "\n",
       "var comm_websocket_adapter = function (comm) {\n",
       "    // Create a \"websocket\"-like object which calls the given IPython comm\n",
       "    // object with the appropriate methods. Currently this is a non binary\n",
       "    // socket, so there is still some room for performance tuning.\n",
       "    var ws = {};\n",
       "\n",
       "    ws.binaryType = comm.kernel.ws.binaryType;\n",
       "    ws.readyState = comm.kernel.ws.readyState;\n",
       "    function updateReadyState(_event) {\n",
       "        if (comm.kernel.ws) {\n",
       "            ws.readyState = comm.kernel.ws.readyState;\n",
       "        } else {\n",
       "            ws.readyState = 3; // Closed state.\n",
       "        }\n",
       "    }\n",
       "    comm.kernel.ws.addEventListener('open', updateReadyState);\n",
       "    comm.kernel.ws.addEventListener('close', updateReadyState);\n",
       "    comm.kernel.ws.addEventListener('error', updateReadyState);\n",
       "\n",
       "    ws.close = function () {\n",
       "        comm.close();\n",
       "    };\n",
       "    ws.send = function (m) {\n",
       "        //console.log('sending', m);\n",
       "        comm.send(m);\n",
       "    };\n",
       "    // Register the callback with on_msg.\n",
       "    comm.on_msg(function (msg) {\n",
       "        //console.log('receiving', msg['content']['data'], msg);\n",
       "        var data = msg['content']['data'];\n",
       "        if (data['blob'] !== undefined) {\n",
       "            data = {\n",
       "                data: new Blob(msg['buffers'], { type: data['blob'] }),\n",
       "            };\n",
       "        }\n",
       "        // Pass the mpl event to the overridden (by mpl) onmessage function.\n",
       "        ws.onmessage(data);\n",
       "    });\n",
       "    return ws;\n",
       "};\n",
       "\n",
       "mpl.mpl_figure_comm = function (comm, msg) {\n",
       "    // This is the function which gets called when the mpl process\n",
       "    // starts-up an IPython Comm through the \"matplotlib\" channel.\n",
       "\n",
       "    var id = msg.content.data.id;\n",
       "    // Get hold of the div created by the display call when the Comm\n",
       "    // socket was opened in Python.\n",
       "    var element = document.getElementById(id);\n",
       "    var ws_proxy = comm_websocket_adapter(comm);\n",
       "\n",
       "    function ondownload(figure, _format) {\n",
       "        window.open(figure.canvas.toDataURL());\n",
       "    }\n",
       "\n",
       "    var fig = new mpl.figure(id, ws_proxy, ondownload, element);\n",
       "\n",
       "    // Call onopen now - mpl needs it, as it is assuming we've passed it a real\n",
       "    // web socket which is closed, not our websocket->open comm proxy.\n",
       "    ws_proxy.onopen();\n",
       "\n",
       "    fig.parent_element = element;\n",
       "    fig.cell_info = mpl.find_output_cell(\"<div id='\" + id + \"'></div>\");\n",
       "    if (!fig.cell_info) {\n",
       "        console.error('Failed to find cell for figure', id, fig);\n",
       "        return;\n",
       "    }\n",
       "    fig.cell_info[0].output_area.element.on(\n",
       "        'cleared',\n",
       "        { fig: fig },\n",
       "        fig._remove_fig_handler\n",
       "    );\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.handle_close = function (fig, msg) {\n",
       "    var width = fig.canvas.width / fig.ratio;\n",
       "    fig.cell_info[0].output_area.element.off(\n",
       "        'cleared',\n",
       "        fig._remove_fig_handler\n",
       "    );\n",
       "    fig.resizeObserverInstance.unobserve(fig.canvas_div);\n",
       "\n",
       "    // Update the output cell to use the data from the current canvas.\n",
       "    fig.push_to_output();\n",
       "    var dataURL = fig.canvas.toDataURL();\n",
       "    // Re-enable the keyboard manager in IPython - without this line, in FF,\n",
       "    // the notebook keyboard shortcuts fail.\n",
       "    IPython.keyboard_manager.enable();\n",
       "    fig.parent_element.innerHTML =\n",
       "        '<img src=\"' + dataURL + '\" width=\"' + width + '\">';\n",
       "    fig.close_ws(fig, msg);\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.close_ws = function (fig, msg) {\n",
       "    fig.send_message('closing', msg);\n",
       "    // fig.ws.close()\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.push_to_output = function (_remove_interactive) {\n",
       "    // Turn the data on the canvas into data in the output cell.\n",
       "    var width = this.canvas.width / this.ratio;\n",
       "    var dataURL = this.canvas.toDataURL();\n",
       "    this.cell_info[1]['text/html'] =\n",
       "        '<img src=\"' + dataURL + '\" width=\"' + width + '\">';\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.updated_canvas_event = function () {\n",
       "    // Tell IPython that the notebook contents must change.\n",
       "    IPython.notebook.set_dirty(true);\n",
       "    this.send_message('ack', {});\n",
       "    var fig = this;\n",
       "    // Wait a second, then push the new image to the DOM so\n",
       "    // that it is saved nicely (might be nice to debounce this).\n",
       "    setTimeout(function () {\n",
       "        fig.push_to_output();\n",
       "    }, 1000);\n",
       "};\n",
       "\n",
       "mpl.figure.prototype._init_toolbar = function () {\n",
       "    var fig = this;\n",
       "\n",
       "    var toolbar = document.createElement('div');\n",
       "    toolbar.classList = 'btn-toolbar';\n",
       "    this.root.appendChild(toolbar);\n",
       "\n",
       "    function on_click_closure(name) {\n",
       "        return function (_event) {\n",
       "            return fig.toolbar_button_onclick(name);\n",
       "        };\n",
       "    }\n",
       "\n",
       "    function on_mouseover_closure(tooltip) {\n",
       "        return function (event) {\n",
       "            if (!event.currentTarget.disabled) {\n",
       "                return fig.toolbar_button_onmouseover(tooltip);\n",
       "            }\n",
       "        };\n",
       "    }\n",
       "\n",
       "    fig.buttons = {};\n",
       "    var buttonGroup = document.createElement('div');\n",
       "    buttonGroup.classList = 'btn-group';\n",
       "    var button;\n",
       "    for (var toolbar_ind in mpl.toolbar_items) {\n",
       "        var name = mpl.toolbar_items[toolbar_ind][0];\n",
       "        var tooltip = mpl.toolbar_items[toolbar_ind][1];\n",
       "        var image = mpl.toolbar_items[toolbar_ind][2];\n",
       "        var method_name = mpl.toolbar_items[toolbar_ind][3];\n",
       "\n",
       "        if (!name) {\n",
       "            /* Instead of a spacer, we start a new button group. */\n",
       "            if (buttonGroup.hasChildNodes()) {\n",
       "                toolbar.appendChild(buttonGroup);\n",
       "            }\n",
       "            buttonGroup = document.createElement('div');\n",
       "            buttonGroup.classList = 'btn-group';\n",
       "            continue;\n",
       "        }\n",
       "\n",
       "        button = fig.buttons[name] = document.createElement('button');\n",
       "        button.classList = 'btn btn-default';\n",
       "        button.href = '#';\n",
       "        button.title = name;\n",
       "        button.innerHTML = '<i class=\"fa ' + image + ' fa-lg\"></i>';\n",
       "        button.addEventListener('click', on_click_closure(method_name));\n",
       "        button.addEventListener('mouseover', on_mouseover_closure(tooltip));\n",
       "        buttonGroup.appendChild(button);\n",
       "    }\n",
       "\n",
       "    if (buttonGroup.hasChildNodes()) {\n",
       "        toolbar.appendChild(buttonGroup);\n",
       "    }\n",
       "\n",
       "    // Add the status bar.\n",
       "    var status_bar = document.createElement('span');\n",
       "    status_bar.classList = 'mpl-message pull-right';\n",
       "    toolbar.appendChild(status_bar);\n",
       "    this.message = status_bar;\n",
       "\n",
       "    // Add the close button to the window.\n",
       "    var buttongrp = document.createElement('div');\n",
       "    buttongrp.classList = 'btn-group inline pull-right';\n",
       "    button = document.createElement('button');\n",
       "    button.classList = 'btn btn-mini btn-primary';\n",
       "    button.href = '#';\n",
       "    button.title = 'Stop Interaction';\n",
       "    button.innerHTML = '<i class=\"fa fa-power-off icon-remove icon-large\"></i>';\n",
       "    button.addEventListener('click', function (_evt) {\n",
       "        fig.handle_close(fig, {});\n",
       "    });\n",
       "    button.addEventListener(\n",
       "        'mouseover',\n",
       "        on_mouseover_closure('Stop Interaction')\n",
       "    );\n",
       "    buttongrp.appendChild(button);\n",
       "    var titlebar = this.root.querySelector('.ui-dialog-titlebar');\n",
       "    titlebar.insertBefore(buttongrp, titlebar.firstChild);\n",
       "};\n",
       "\n",
       "mpl.figure.prototype._remove_fig_handler = function (event) {\n",
       "    var fig = event.data.fig;\n",
       "    if (event.target !== this) {\n",
       "        // Ignore bubbled events from children.\n",
       "        return;\n",
       "    }\n",
       "    fig.close_ws(fig, {});\n",
       "};\n",
       "\n",
       "mpl.figure.prototype._root_extra_style = function (el) {\n",
       "    el.style.boxSizing = 'content-box'; // override notebook setting of border-box.\n",
       "};\n",
       "\n",
       "mpl.figure.prototype._canvas_extra_style = function (el) {\n",
       "    // this is important to make the div 'focusable\n",
       "    el.setAttribute('tabindex', 0);\n",
       "    // reach out to IPython and tell the keyboard manager to turn it's self\n",
       "    // off when our div gets focus\n",
       "\n",
       "    // location in version 3\n",
       "    if (IPython.notebook.keyboard_manager) {\n",
       "        IPython.notebook.keyboard_manager.register_events(el);\n",
       "    } else {\n",
       "        // location in version 2\n",
       "        IPython.keyboard_manager.register_events(el);\n",
       "    }\n",
       "};\n",
       "\n",
       "mpl.figure.prototype._key_event_extra = function (event, _name) {\n",
       "    // Check for shift+enter\n",
       "    if (event.shiftKey && event.which === 13) {\n",
       "        this.canvas_div.blur();\n",
       "        // select the cell after this one\n",
       "        var index = IPython.notebook.find_cell_index(this.cell_info[0]);\n",
       "        IPython.notebook.select(index + 1);\n",
       "    }\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.handle_save = function (fig, _msg) {\n",
       "    fig.ondownload(fig, null);\n",
       "};\n",
       "\n",
       "mpl.find_output_cell = function (html_output) {\n",
       "    // Return the cell and output element which can be found *uniquely* in the notebook.\n",
       "    // Note - this is a bit hacky, but it is done because the \"notebook_saving.Notebook\"\n",
       "    // IPython event is triggered only after the cells have been serialised, which for\n",
       "    // our purposes (turning an active figure into a static one), is too late.\n",
       "    var cells = IPython.notebook.get_cells();\n",
       "    var ncells = cells.length;\n",
       "    for (var i = 0; i < ncells; i++) {\n",
       "        var cell = cells[i];\n",
       "        if (cell.cell_type === 'code') {\n",
       "            for (var j = 0; j < cell.output_area.outputs.length; j++) {\n",
       "                var data = cell.output_area.outputs[j];\n",
       "                if (data.data) {\n",
       "                    // IPython >= 3 moved mimebundle to data attribute of output\n",
       "                    data = data.data;\n",
       "                }\n",
       "                if (data['text/html'] === html_output) {\n",
       "                    return [cell, data, j];\n",
       "                }\n",
       "            }\n",
       "        }\n",
       "    }\n",
       "};\n",
       "\n",
       "// Register the function which deals with the matplotlib target/channel.\n",
       "// The kernel may be null if the page has been refreshed.\n",
       "if (IPython.notebook.kernel !== null) {\n",
       "    IPython.notebook.kernel.comm_manager.register_target(\n",
       "        'matplotlib',\n",
       "        mpl.mpl_figure_comm\n",
       "    );\n",
       "}\n"
      ],
      "text/plain": [
       "<IPython.core.display.Javascript object>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "text/html": [
       "<img src=\"data:image/png;base64,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\" width=\"640\">"
      ],
      "text/plain": [
       "<IPython.core.display.HTML object>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "yk = np.arange(0,6,0.1)\n",
    "dk = 4.6\n",
    "tmax=2*np.pi # period\n",
    "tom=np.arange(0,tmax,tmax/100)\n",
    "\n",
    "u = lambda tom : np.exp(-yk)*np.cos(yk-tom);\n",
    "um = np.exp(-yk);\n",
    "\n",
    "fig,ax = plt.subplots(1)\n",
    "ell, = ax.plot([],[],color='b')\n",
    "\n",
    "def init():\n",
    "    ax.set_xlim([-1, 1])\n",
    "    ax.set_ylim([0, yk[-1]])\n",
    "    ax.plot(um, yk,'g--')\n",
    "    ax.plot(-um, yk,'g--')\n",
    "    ax.plot([-0.1,0.1],[dk,dk],'g--')\n",
    "    ax.set_xlabel(f'$u / V$')\n",
    "    ax.set_ylabel(f'$y \\cdot k$')    \n",
    "    \n",
    "def animate(j):\n",
    "    ell.set_data(u(tom[j]),yk)\n",
    "    ax.set_title(f'$t \\cdot \\omega$={tom[j]:.2f}')\n",
    "    return ell,ax\n",
    "                \n",
    "ani=matplotlib.animation.FuncAnimation(fig, animate, frames=tom.size, init_func=init, repeat=False,blit=True,interval=10)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/html": [
       "<video width=\"640\" height=\"480\" controls autoplay>\n",
       "  <source type=\"video/mp4\" src=\"data:video/mp4;base64,AAAAHGZ0eXBNNFYgAAACAGlzb21pc28yYXZjMQAAAAhmcmVlAADORW1kYXQAAAKvBgX//6vcRem9\n",
       "5tlIt5Ys2CDZI+7veDI2NCAtIGNvcmUgMTU4IHIyOTg0IDM3NTlmY2IgLSBILjI2NC9NUEVHLTQg\n",
       "QVZDIGNvZGVjIC0gQ29weWxlZnQgMjAwMy0yMDE5IC0gaHR0cDovL3d3dy52aWRlb2xhbi5vcmcv\n",
       "eDI2NC5odG1sIC0gb3B0aW9uczogY2FiYWM9MSByZWY9MyBkZWJsb2NrPTE6MDowIGFuYWx5c2U9\n",
       "MHgzOjB4MTEzIG1lPWhleCBzdWJtZT03IHBzeT0xIHBzeV9yZD0xLjAwOjAuMDAgbWl4ZWRfcmVm\n",
       "PTEgbWVfcmFuZ2U9MTYgY2hyb21hX21lPTEgdHJlbGxpcz0xIDh4OGRjdD0xIGNxbT0wIGRlYWR6\n",
       "b25lPTIxLDExIGZhc3RfcHNraXA9MSBjaHJvbWFfcXBfb2Zmc2V0PS0yIHRocmVhZHM9MTIgbG9v\n",
       "a2FoZWFkX3RocmVhZHM9MiBzbGljZWRfdGhyZWFkcz0wIG5yPTAgZGVjaW1hdGU9MSBpbnRlcmxh\n",
       "Y2VkPTAgYmx1cmF5X2NvbXBhdD0wIGNvbnN0cmFpbmVkX2ludHJhPTAgYmZyYW1lcz0zIGJfcHly\n",
       "YW1pZD0yIGJfYWRhcHQ9MSBiX2JpYXM9MCBkaXJlY3Q9MSB3ZWlnaHRiPTEgb3Blbl9nb3A9MCB3\n",
       "ZWlnaHRwPTIga2V5aW50PTI1MCBrZXlpbnRfbWluPTI1IHNjZW5lY3V0PTQwIGludHJhX3JlZnJl\n",
       "c2g9MCByY19sb29rYWhlYWQ9NDAgcmM9Y3JmIG1idHJlZT0xIGNyZj0yMy4wIHFjb21wPTAuNjAg\n",
       "cXBtaW49MCBxcG1heD02OSBxcHN0ZXA9NCBpcF9yYXRpbz0xLjQwIGFxPTE6MS4wMACAAAAdeWWI\n",
       "hAAj//71J/gU1BL8S+FrYe3Ut0kw0XCxLbPQAAADAAADAAAYz9i596eNcouAAAAdQqPvaqFomPYg\n",
       "EvTCz/atLd8EHogIh/QkEh8ewOdIflDPJAr25XDvfGJfJR4/LoaTtIflZuUacl2D2+CPMDttEYTy\n",
       "X7FXvk/aUkQJfmjz2D2IiNfjY/TCxkRaPKHyBC/pgo11mc7JjutU2CJdpJ07eUTdVJbAvSi9NVYr\n",
       "NZiMaYnRNuAeC5AIc8o9K9PrxywU0oUjCkDf6/MV0dcdEoCGv30QvGnfvKwTILKtoYO7uBvWvG86\n",
       "4nTv2+40NlTxnuFcdu9SHSR2EDFLRyBO2cucEtttYkoqP0MSn58DGoL5LWKrUJfD7ExFJP/9MpSB\n",
       "1QXR43zs3yfSDREb7w4i3B0UsdOUesy8zm3iZLUfcJ/bonST8yO9RIBriuuYPgSu3Wg/H6n/vLKo\n",
       "KkTEBfvsZdF1AABKfUaCAerrgeaXPvPKRzRSRP0rLpZ+MBuF0brVIuPC5MNCy0ypHmlOQAem4V71\n",
       "L1gbX6YgbG68gHiPSIJOlUpdqcG0dgUXI1YIT5/7fXklxhXAcs7cKCfXNa4MP2uSS8HRJCdIu/l7\n",
       "CHXieqzSPF8jok99d6KN0MmFrAKxEufl8qEAvxB38hFRIdzwrGnX7wU+ooTuis0iIXK4b4Zyip/B\n",
       "0RHqxCzwNLRQHz0nEfTUCic94OQTkLjDjynzy+AzxaD0xvvx2FBXvpJkpaShAd/N/0Omx0AO6dKD\n",
       "nqVZKpsulvjLijYKHIZAdWhOvoXQRuIoUjwbO9+FZWBUBH9m+2gJ+JX74W91rfIZ91SJOOadIYm5\n",
       "reBPPQQRhcMiz4kKeGtko2h27BtIqGZ5FDlafB42SedSudeiIr/ieBkpzRalCeerUr19W9y0pQy4\n",
       "crqipjH+YK/am9sq84f+HTKwdvzSa0XTrHfGWNB74L9bfNI5mpeiS6doXRhXgpJSTxDHFlCcpdmE\n",
       "V4QeBRDBmvMJmkG2TI1O9JsspP+XpW42tfHMzvA5m6mwi1iFGIZz8pW28uC0ebJwB6Y0hmXOAoHT\n",
       "Q24NtmPgZyyXe+0cwyoFvBNSR+n88E2i5WwebfCIa8BTKMR2o1/+EmGxBLzglNID/prfwv0jZTJg\n",
       "Lh/m672dZMJqFyTMv7qe5RN+7h4WQqifXipEehGROlepY26f0eCdMyOOod2GG6xIKz05FOItA3nr\n",
       "hotvZnhMstcL1jRduJH14ZbMlMX7UQOM2KYigbGMREpwJfeWxtdF75EvTXfy8Cd6+mO3SM4DoxMb\n",
       "tuwpuHwctl340FFwZXsjJGzKrodzL9h4gc9dD+RzQXngQKpCnvlzt7n2cfcPPfUQZ9Cs52mPIlI0\n",
       "/lusZNrnnPCcoFNwzL2lQvEgeN8j8iUsF8oX12dSfwuD1wiAECH2cS4OsYFHX5NT4Kb8ehoHP5P+\n",
       "YtZ81lfyP+funRLYYmy3/xXit1kWQzRtc0rmZ5PgN6m9wYYnqQchUn6hKiVpfFqUKsQzGO+890QX\n",
       "wY0mml1RUtjRmfbVJBqsj/JPGaF1T3e6ZTyUXCBeBzv1v7lRkxbRf/LLUjGbF0MVkXL7tedGZtn9\n",
       "otJ3H8B4x74p7Zj0E7Sl7DKJs84wbG7SLPj/yc2ZM9JhkuClO2HEjP46s+MgYMGptvGDEqV7FyX3\n",
       "jwFnS/Q40zMuY+o3cNzNklHiNfwthsjzl4NEMhY7ednxAXye1skwODLme/+rU+xbJ3vc5x7RPM72\n",
       "9r1tgZOCvWsqhGD+M7XmS9HEjK08mjqLZtUlVifKWg3wjC9MzwDm6HIGqqxlHGQBztHzwCETRCUa\n",
       "Oju/rk3b2gsDPnjFRH4E0wzDFAKdyUZDjML7Y0NhtnOGl4l+n4HgboJb7/1T4G8rqjE0n+dzJRdM\n",
       "IYJRFLYtkjNd5CcbRKnR4A8USlstOGs33/kwsXzmASGNrB9JEBJ55vsP/rdo1GBeu2SBb+A7wHZe\n",
       "9202TFb7qGnZwL/KHBQPhgffgTAo5MegkLl1xWt9j34xlJLyHTmXQ+mpnFYiyywR/ux8M90ExM9K\n",
       "2aTGWFUxuDxmsbfcWMlhtjY8JClfOpO+WhvBLLjAqSrMg08TVmPS5nEFqNzWiceqeiBILJQ6LCaV\n",
       "haSOzt4QkGvQYa8CsyriNyh+rC56pDBpoduT+cvJznNV4Y3U0zAhdTlwpcghhtQ+9abQQG2zJRq+\n",
       "Gle7WdcuFkUQNO9hYmrIOsRL9PEzhXv7154kELu8ZHzP6HilIFp09QwQbZbGeXdacjZmCdaRUxkr\n",
       "6skT9XVVq3KkPHN+xT4ulG+yb/3smqB9Eu0gt8/gZpSgZkHrKKb9wJteQoi8jNhsb+r6qdj/DxQu\n",
       "BFWyqLRNprIqbKwecD2KoJIq2fwrKiur21k+P3Z9ra9WNnlcU57hHlcFfFw0okcx+XCwJMeBdy5Y\n",
       "ndi/oLlMxRfZ2Gka8hva7ZCW733jyO9tLx5qwA+KU+o2nBn1GYji0bjjF+/JVhyGM5M70mXXQ6XC\n",
       "t0O4ULNdqD7v4C3CulZ3rVGRDlvOKD5yyGsxnAThjJm7imqcOb2oNriBLQzvYvkYaAi+xUT7z46C\n",
       "/OoSC5lbpuas5Pce0y6FbYMDX2iohr1m+4LPjjV12eTv4DGjtnbOuNTbcrPRY/oo+RRzkI6Fg/sz\n",
       "KSdypXPaVdmIui7/c2t2HdeDyXJZVi55jX5eXdyMRRMgV9WHkoBCg3CjxmJ/t32oja1+AMXyR3iX\n",
       "G6GN5YPzsfxsaH01ElMhYaWni7Dp0DE0xjNrMmpolutZzg2TpNSGjuFLMagdO2yDWNUAM00Yj14d\n",
       "DB+Gnky9VNrlLXD86IkCtyYZziBVZMYGpnUj0n337DTFRj9y4r9kS7p37aDr0AHfBpvTL5XzYT05\n",
       "z3j8WNoMcyRIPZ0WX61m3OcGLvWLsORv3IDw6sxPAlak8ARXIsVvJCf/cxOzmyIG5Q5duymMTP90\n",
       "34EHE0YFjV+I8g6XYd0XHHs0uYBQhx7GGp5f9jkQvKexlkqUG7hPvMxYUZ52dtfpthLWpgW99BRf\n",
       "trpXJZNGafElvtedB8C9tAAphniJUVviNXVd9wJcOIbmBisJSNHHmL/Li/EMzCOTV8EwXsTsTyQf\n",
       "+zuBSTTMIFTmjF48ZTsLajm+TrbJieUsOc9wPWBPJqNDok5kFgNaATnYNxyBbN+NRVE1lWo6IG/m\n",
       "w8tBt3SPyGkYwFWvnvxH4X7al9kujVenPi8jUkYRvfKEiR5xZEYVt0l8soHovnSy1YdqZ0TP94Bo\n",
       "PTOL+lOCdhzyKi2ObQ7oqJqE4N3sUMIs/QTpsKkjvhMAh7zMGoRVLERV0xfxNqCZLBTsHeNNUAuO\n",
       "R8Ff71qPqjqeKj7GbmrbpFjjd3YdInuThTPJlDkKAyyHoXjjvtxsCRCW59In+HG0ZN6dJSJ3gIUl\n",
       "Y3v/Ybv003GKdLuNAqWb33CdL+mYG5hSSmKuQ64a8kiDrpAbSJVzJrbqTRWQxmQqpawXje7By7kN\n",
       "+DMGAGPCnnc6Rci4e9mwdGW3Fu2dMcSE86uHs8Uf0H/nZftfoeUkq2p223DzHMv8KsLeKMiKhnQ4\n",
       "iPePlXx/3NeCnVKUgl41ozJ0X8hpAkoYqpyn0StUwpxLjAOpuXNE5WhRqHj0fMzo7VuJ/ag1Rsjr\n",
       "PrOgbS9CthUgue2vm2KsxuE5J1rapiU/4S/wOI7Ls26wAcGZvzPSfpLFKRHWYZBujCGVu+i6Heqa\n",
       "wDl1qwf9EFqPD3u3KHLt9zfDimDRwqS87qWB3z4FUhH8rXwCGV9EksiuaGmZ8M3PrZmMlqxa/i8+\n",
       "D4xNpRZPyKzPzGW9rDfPQKtz+xjDjlpm30zD995B5ymDzKXeFh5c5rqVcgIonlnMpzLVsNLF7EwY\n",
       "OchoAwZJqRe/nj2oZ1M7b6qOQAWpc/URHH5bJs/Rst70z8B4syzBrBvOrn/uDdB3bBaoXBUyfw9t\n",
       "BAKHYTvM4MBq1q8tvH3I119srfoRc6ssXVc67NO/8i1N69FCle98YUbKjJHvPxVbg///sLwRrmQ4\n",
       "emwD4MBCdxrNUg1ACf8+CDNFpSDzH/RcKIE8JJwGhwfeWPhQ2riuefc3uDzrc/FAuqzsVQ1wc86r\n",
       "F0KME4i8jzP5Caf7Dl/VlrwPS3oDLJLzS2oZvqb49EJ0/eb64hlpe3QxPY8/VHT5Ck3kXhUJeuSO\n",
       "TbRnYQ/QE5SvpS2t8YwIHqpadVlN0Xu4WJa0y8q4YG5ZD08C7Bt4cCApAnyj1bq1jtp5B6Nab0OH\n",
       "pxZPL7n+SUjri7s0rIrCyh0K4oIjzIdVu3HpwBLyNkCdm3OgUOYBr6e1E0zHK17kG/bWttWXhH3q\n",
       "gCu09L3lgjfTNi3CWzEgL9muh8QVpbvTjqbSbsixA4NExQ9H54uN+54Vswa2uojaVklCsE6TpDmC\n",
       "v/h3eoV1kdtHB8MG4u5QKIwq6kVHjrnzyNzYhZPfoq2MgukFBzP8nyJdVOdzyleNgNDPa/ffVvn1\n",
       "LHLKJ0IhmjDUP8jDK9OFhLMmG27/QvRZZSFKlMHfMh822IE5fEnjjBbvaWA+mMKA2ZuYD19axNGo\n",
       "k5FBI54J37Mm8Bi7Zj/UgCJliZx77B26j1khSjF7Q0aQocI/aryP7HYHRQ6vjG5DTTYSB+d89WOn\n",
       "gK3SUvZ3IMSNyPuxtafYUh+lQiiDGLt8p33WqnrqFDXtSs0w0M95iXg/9d8dZSIX0IHDvFqZAQJU\n",
       "2wnZ4HMb2wMmxVpE8uKLJw8sx7Cc2XpfmCJlfWVO01vvW3mdh0pm2EdivAbQaAayG0Z1WtCJT2rK\n",
       "/ZLWJEoD9mzS66g7H+hOx+BCIe/eqhpDZ/af45YIP04nN6bt72jyFDnsQyvPDxaPYxOUVYHU329r\n",
       "dslxDdO2LnBA0VEZ6oPszVp6npQ+Jqj/RnWkTnzwQCifm0cBoHCXwMJ2AKjuJrfdqBPH2UApVKAz\n",
       "L6IX822qRnZCGQSpzn0o7arEdUwelXQn8NYEXpZ7cLN1FaRAeKeuj49h0/shx3ud4r2fsct0ygTd\n",
       "8EI6o+MLr9q2iEv0tzjrnff0ao7UxF3evaXqlcJH82p/OY/TcTJg/4DJ/Kil4Z1xveTsQf3KrxDF\n",
       "FLPWn/jeiywk2O6fx/rotBXodiKkF2Z67TLCfqoMm12DXS1zkfPMkrr22nzx8ui4wEqnwCMPyzHA\n",
       "J52kxPIQfLHAl3YIZlxl4GLA3V9ROhGBAjiOgB1SYrGMLTVqOAopZxaepyfGD7zU6RfIGRbRfLTQ\n",
       "11UhXkWh4sIHzNjNu7xBj5coOEToCtHZvW+xbK3c8nHc9I9EyR4ZR3dLCOA+xIwxwr8SZfnxWxQV\n",
       "W5C3dqD9CO3Il8xi8138xz71LBwFr8GkQL3EN5z2imIEgicCuLLFIE/YMPm9VmEFwCnhGMfTeenL\n",
       "c9KHVig12q+rtTu2mIC7j6gpOLVEhuogjCO/QjcMUZF3aESGfEDGXEeKKuaSdFEoDZcXWzyqhlxM\n",
       "D8KLyQ0DZo+buDzEfBTu463FPONpvGJgePsesbi7onBRayJtYBXL8HmAQrqiu19QHShEnWVI8/Fv\n",
       "OeYPuQ0EZEv2dVPMMQVt+SRR+3maweRNz6cbTqLY1LoEgktJSx5i8ICS21O+i+dpYC2WIk5Ab+ko\n",
       "6+GOPhk0chL5ciSX2LnUyq3gtw+5OinCPPGMWnaMKEqWfmXzoBSoDKdjmnwVVEWaVBRYJO/iRnIC\n",
       "YVFHqVyiuQG4paGAjgdTaD98x6dQrH8aI37gGcqervwAbapk90m/cDlnNQRR1D5mTm/orzie/8Gi\n",
       "dtvLXhl1aDY1+HbsHHejqAL58GwIoqzstVMLrYRPotVUQqnlbZNtKIWgpr6RIv3iHPZqETBsh5Gy\n",
       "Jo0TQUIQecoKJ5Id4BNxiWfyvFseipeQQ7O3BaLxwO6Y847rw7KzX7WC+B8CV4/cv3GH79DXWjmy\n",
       "97rmo2spGydcg1uzXv1yvoST3j2Lj789dmwCJZeHYJRVOI6a2bVgV3TMvSJOLXfvEgLLlWevsVOj\n",
       "eBTZcffuuFs5x8gmBkxeoAhwwVkX4k1UbqpxeVEb7Xhw/8bQ53ndgb3sT8iew8QjCRvpEM9HEzel\n",
       "lB/dwT7KVTCX0Gnlo14H+gecU6KEsaUXX88I/3OlvKJvUOUz9crK0BlpGON2uYaMRF7FpMX4urlF\n",
       "QP0Ji/kK6tJzDvuD2zyqjOD4x/CsnTRV1iOX7WLm54FZ/Sv42DOyFcjsFMhdZ1J5LRCRUxq2oTA/\n",
       "gXhqMphwhNVHeFc3y42sPG5y25gtZ2UiG4eiXmXlBEEsQakeUo94FqUHpTlWOdMBkOyoaUPhX888\n",
       "DzEyv6gwacOnkhjyyOju0LjWSEqW1F5yjJ5mop25dbqB5on9pPJCY7TGR7l+fxTwx+X5zuQYInzT\n",
       "rNSZ1BGroxlpHN+LgvUN3Ju3rmUtzWWyidqTVsdmJUBkx0utmjdDDB8ZcE43imXB5bFV8Y1JmHOX\n",
       "fvFd+wVn0+ekp4HbpyaMlrIAQBCzyuZwxt9qt6Pvbx08dxBFvSc6iYabUED2dXEUj/UkgWsqANt0\n",
       "rKyNi6tBhFE3Y9HoqoepUmFq+C0yw6LUkoWRWBG6C56v5QWROgtB8g79nV3Yt2iLiECN7crQujjh\n",
       "F7WodIvbhH7bqQJCCLwJGu+H+yr1mtq0DC/TMRZdGc8+oVpLgd+w+AhUz41FKUyDNpoXMa2TDmxX\n",
       "Eq96l4m6xl8BunKde1KmmdVx45S426tJDJMONZ5RZOHHmniunrvFC6jFNSHyR/pXMO4pz6fHXlP1\n",
       "SOQ8KJ8CekLNWlcknW9MiZvdmz0nXck8zKp+fjvIWG+aAT71xdvyj+Pps5RYfbWCclA6UCDkiuOZ\n",
       "v/zTi506Cuz0sGfWaJCbekiKjfgqJQ9mXiymg9Sz+DXiDGbvOE6DDSx6jcupBU5SiBmsivdqT7Ky\n",
       "aKp3ARiCJjaqff5ro8SgUpN5sngBXGaPCIx5byp6oFOk2txxcD/omXpVNB0J0Kh/meDl7PVuHf6v\n",
       "gdJIpeG5eszGOlVIHxuotx3t32dbL71IcaG0fDI3f0dLDDEeMzvS7IxOHI17mlC4c8oHf3l41uH2\n",
       "ilAYCWvT+Y1JyKcqbDs+tytBKifX/0bn0PLuaU5mGPgPQ/YHg5pK6vcVllCrRroJ9Mq59n5kPTKd\n",
       "ovpZeaNM64pZURCbA9Y2yy1vCDf9jB5OgnzByF6S9S3pjICDLSYTm/LhqNf6Kz7zT3lbyl86nXmt\n",
       "Wz2Rg5KIN02oeOBqBqfpQpkCnYNGKnvw4cz+BI67rrsi+LclvE/X5OiUj8MUWUjdcx4bqkbLTF/f\n",
       "xNFlyNl1W5pOZ2SFhaENiAimdpfhEYDN2c6vMdEHXoqXvio7MNhdUdrmSMzKgzMq6WCWfRP0FrMz\n",
       "/UknF/Cwm5ZP5THtc4tgBTepJ+NwifhXwYtiwa+RBY+Dlw83jiJQxWsotriiK71lynYX0SH1IskG\n",
       "FwwEA0QHfEPc60L0Uln6QfwSF33ceL8n/AquWfR4j4tN1Yk74G2OyJUDdtkyOmOwmb/PuvE9qrKA\n",
       "VY3rDDUKYAbB4NpFtiUeOFgXrwtbrXajDyfpJ3SWCE/Ui1hfZDDT/nC2IBqgzm4dnFe47cGrejcW\n",
       "FieJWrDDhmWWcttXrtq5ong5Ru3xoAOULKAP+20/QslVBbeSy6Z3W6MqNLOVkXNg9TXbdK5mTt9L\n",
       "gSOIWbUAZM0JY1D9BILbYDAttnsa8tdWUMtf2clEJeqYlP/xrMhvYY0xHNiA9RuzGFMo0Q4Nyb1R\n",
       "DdgP5N4QN6sxxxHNtGgpwrUya7a/SY1oIogkQAuAfKKfb0EpwCfoUUae9jFJwUMXAJwM3OEBZu9x\n",
       "8C5+3suWDVU3tzt6wVKW1uaFcCclOY/MXHaBupuszX/KFfqqoY7r56MPSA+AT0Q6V7OhmQQmOaH0\n",
       "6G+UC17AOpkiyhDizx7z2KNKFUItkRNJArhscL3YWdIWfLUSsGWWUOkhV71RbPCHsha1/NadNpkJ\n",
       "YD5wyjZhRAJp7kTdZ3bQu5YDFezXqZDf+dU4WTCUcC0L50oCdozitKh0AGoPIdPN8NcRVf3VBBEu\n",
       "AHqoxOl7NynfJ+cVFHEJyUlv9hle+EpCMBh2SxT7KVcvo/qmklPajdUPE7PSGzb32dSLMDvDE8yO\n",
       "3fwSsZcDV3cWY1qDykyj14X/yEesBVYv83qfTT3gszzN53sXKk3JjdDjpxMFG9s9Hc+RZ8VraNo9\n",
       "/u1BtjnVjuLkYQI7pX2rK/nmtjTaAE2zktAoiISMXFGXGdHBBuNmHuMp+N/lKvHgSQ9clvzHLvHV\n",
       "4a+4fUqC/EnA5VKMv3dlOoM5QW779C0RYsZc90t+83BfPXOA8ezmghSujvwaljFJHnee5tbX1FKb\n",
       "UieVbp5a10EuScsu7uSB6MD5HimmZuhnsPwTMQmT515yH9Uh7+jfrusCk8VrZUkUqmH/1+qX/rqw\n",
       "HwaMlyfBrQr5Zm/XfGl/VtRxOQjZb4i1TkPAXXyyxFyVOyU+Rw4w7ojSZFhmjPaoKLoyuf8Dfuno\n",
       "ZH5LTH/q3P3q4TJEIutNxgyK6b7cQ5te63nU3zs+lioLzaCNaBbrY5UnGIG2O43m5wE+r7qhMm8z\n",
       "n9r7Ixgj0RQ4Bvhdcrv153MhKK41xOyiGOAeuxE5cDPt3TTyVKer1CAE0nTY90oYHKwCsFf/znU1\n",
       "lSpVWXP4HXyDnLj92baKtMk7reQ9KUxI99GK4SAhoflngrGNRudF8PXX2UURpMheLICpr2rfXjhJ\n",
       "iS59vlEsDiKm9wh9anL0Q+YWhdSy4d8S5sspIgMRFB8W/UIPUMf/3Ia1cyjY6GUMp0HsigqxVuTq\n",
       "sbfbiXk/EKpWbm+t0h8SgdRCITu7z3P28GQqmYVoB/JgcCw5aV85QAGM9/FFAqLUpYCWKXLRSSD6\n",
       "eW7U6jI8h1KnydEfBvZMgCbPHNkedt3JFNnQCWxsi181gUoVUkuoVaGCtNNyx7uR7iUKcMkQ+7+o\n",
       "V93KKlx+p12gByiYmDl60VGQgak4FMwONgCSyeGK5ynMMoDALI6WjqHHjRVX2ma5Qr9pXtASJH+x\n",
       "sBWjXukoHKUh6tqfReArzaV1ZFeRXAnQ2E1BY3h4VTmCMwZa1HvUJxOiruu03VEEyW47ld3UVeta\n",
       "JJYLs79iGVaI1YHibRpHwhsoyVg718P4thhl+5fsFdMi+92v3htZKJIvtMvxLd0roQ7q4EwNiIxa\n",
       "0wsN5COM7x9+YQm1BxXNjR+FW3L2cBgCI9aSt+Jd9iPkSYN2qKHMHuUvI+/9l5ktd1rmygWnCtcc\n",
       "QtS+n/iv7WeUlv5FeR7r9uti/308uz2TOA2I9ZMpL0sYgAMIw9/mJ9lPThrHigwD8M3waKOlovHy\n",
       "s9TPwOPymbso9GZPWDK+IBtgbfGrIwEaNVxtfU8uc+Rogz5aKissZCfXPhQIM1Dl+AwkdTReVuSb\n",
       "K8nlgHejGcsYjphsWDS5HtOIPBe+BumKR/bcR1LIRQMIR01sqk5XkLE/tKo/6bn4lzWadRqqJcmH\n",
       "fyEIMpEzsCtaUAZk6HeawlrltKMTZdhQdhyxdCiK7dFlIupFtYjNfFGI96m2fpMfsyXUO0k0YZ3E\n",
       "TDuGlih42vw2HoDfLe2qGxB3+0uDsWVAqtZ2kLlZFqrpDVNmAGu3zRV3TbFjw0197K1Ba23VeQgX\n",
       "TK3BapiUVR1qDS1dN7Fe6OfS9HI456HBpXOXsCzDKdDpk5CUMSas0NEcCFlYR/GZxITsmW4PlGMC\n",
       "J1RGfLrerSZXvI3+6NQF342kCpcnTsmImePoJ7iJv4nwHDmgsy69oiXvWm2cWUNbYCecFk9Jp3m7\n",
       "Hycn+9xL/erYj0g1ORKSWkAf0eS9NpUIBMfHVYMhoFluLIdZZnyuyXEaZEFjybJlxQdLT44MW+sh\n",
       "ApHyNVTjjPNw9Pcr2IFwzcXAMD60sIPLIifxfTBHIkglITjmweMfJtSgbeJvs6wI0pMItmj3R16l\n",
       "FOVOPfRrHLjAHbX4vuCFyEjc6DkZzREG7yhdy9T2uIe0KijErPahQBGtektxJyhAAEM+v2p42zIE\n",
       "DMxQzlpgvgylY8NUveNaJcDFgQAAAcpBmiFsQj/94QAfpFszzAAFHd0EV8nLSlXKq29hULyi2ukh\n",
       "/TAptrMZFyxicd8n+IIhzYmgL1xQhMQSYYMFa0KxERdjSWn/Ewy9bF/MCNOjZ8ZLlfpI2dLDu862\n",
       "X3BkVDLsZNzF0WzVR2JAIJ1DcZJvjLsNWJLYVi67AL4Vjb9K1oIQwG2dBITaCT/mZXC7/2oy0jgX\n",
       "yCHaJDTLpN8Tg9UD8LPdu1dDBAHWPmtPvC4JlL3ngBaRrBmgtI6DPY3sksfjQDzsGbCKRKA1mG/d\n",
       "6xEfAWjDLPuDbtCz2YAB5++wMptr7XftSxw+hAicGE5xpTDR1Z6NIBc+9hBLN3oIOdo/PLAK2hNH\n",
       "gIMXA0LXm46ZLldr06816H7WgNbtMJOP2Kobc9tkYe93wylEkTzOlIJ9Uh1hIhzWnhy88k1vux24\n",
       "liAy6qCIP/008RLhFT48Z30TUSCQRX2kuvg7yMoNyVBmOdwmN7QEU/G9sHlj/HxbYDSgWrYKwhUA\n",
       "49BlBGZArrCmB278KDaBAgioXaUpNgMAdzWbfNcfAIOg0zX8lej3ufWWoibVWAuyqbGqtzPmacys\n",
       "wLwpWVd8ho+nPoNzE8UmyyiCzg1pN/FIwAAAAnhBmkI8IZMphCf//fEAFPqecAN0iUhW2dv8loXS\n",
       "h0tmEhEG520un86KAD7gzxTC9NKkS9DPVADY0ufxDGHWEFJzW2M0mr2ewrZ/JheD6t6tFM3loLkx\n",
       "Duy2hvOn/2OZwAH0cS2uUr5nDAd43zATPGLmgJ+kK8J2xpxZDTRojbndv+bINSFBCYa+8q2A8Y8/\n",
       "+xNWe2zwyfiApVtbvALuLq+slcUyL4L/cxwet3wKsB3OWavwOIywuCS14kmuFIjW4X7x8k+G03Z5\n",
       "9Qhssiif12RuXuMKGbn6sRhciabDnY2qIMBZaLjrc+8787KFjvGfjP3YizFq3l8ZRp8uifKOncRN\n",
       "0b1zUgBF7/1hnSwj/AUR8JqI58ECXVD0ssoHoGWUY7D8jLQGJ/ZXBQGpKs/fFWm2jf6wfuL9wuSH\n",
       "3V4OqCDUIwljpbNuvqGdTCn/c/o8f9auPee0EzAUxMsrMMbCwOR4enRxz5El/sL1FOJTSySFWADb\n",
       "VczgNzJ940uvtvEvqwAa9UWxR06SYfNgUTrdvY5gaJruFva/EFvFfXXvcUe/60LuTKgN6Uec4sHO\n",
       "EKz3hDOi3Upv5T9TY/eMeG36T66wMHz1znEUNQocXUU9s/+albWCf4U9/yLJGRt3dB2BTxfg6VHT\n",
       "U6OJRWvitjp5RBWIkQ5hMBzt0PZ6NIzKi8Lw1iOYABnd6Nrknf0BwEH2arycqYDgVW6bh1zPs/om\n",
       "EOHAtlgOu3CegGtc1c/EsQOUAqba0PW3mMS9xAObBqWmJSvMCZJjTZGUD/TQV/BXodDg7e+XJqSM\n",
       "sbblbS2D47y+wEqNoOu8zr91Qcek5deP4SFIW+zdI5mZgQAAA8JBmmZJ4Q8mUwIT//3xABTx1JiQ\n",
       "AC6jl/Y9hYWvvjp3jUBQui+Z1kl+dcrT0bV51/uR8zXY+MrhV8bQCVi9H564EfcBX83D0QzEY3F+\n",
       "a3ov2btO4Is9O4HuVJX3nvyVWBQvD6pk8ug+xmS+NFA/zGmKhqc8DhAppGaGU2xunmbM+0fVWCbU\n",
       "TyaG5UUjxAsIalzPMAK5lY74eJasBp3qMmlqlHEHBuDISZ+udLZKNuOkDVNwuxZiDCVWzBvAPgyF\n",
       "S/bYwFaBGiKrzmII2r2mzKM7mAPisCXfe5HT8VQSuM3ChSS5m/GpaIaaUO1lZa72iZVGnCR+0zx1\n",
       "0zAKnxOgTbHFu1V0FjNVKsGhyjOG6DSXRxHhKft29ZF3WsmVzSyp1ExWK/qoQKym9LUx8fgl019f\n",
       "qPAbNt5wuS27RUKzeJnsjyhZQI8ZWbi6zzeEvaHMdrYxWzIWIIUxZJelRW8mOCD/b8oPnYNCEXoN\n",
       "FQRXjKImubAiQPR3JiHUIi6JmCuGrA0zWq2l5RAAlZ9oZSxTGHf6Fm2yWCLvuoiKW/fm+3tSMs4c\n",
       "sJkcsTW5m39mueFIrLn6RHIDOJdpWvd1Gj7PCQBehlIn6qlE/tM5QYU1BAmvQl7B0UqzzID7G0Ic\n",
       "cclpU5vu7V9+DvccszBPSv53+IBv5KPCSE2tj68rPX1ZFMGCudLm//maDtfCqeQzOtk45FNIteAC\n",
       "PG+P5hGnoO8RjEWN/C7Ej4Mf83mQQAdrC75bvLpTmD4m8sJL/XLui6KzofwGkVrLXiVi4aDXUTRa\n",
       "WIvYpR9Wm8f/qw790T0luf8qhH4MdS1f93fNHEkFz9kksFnlkYxm+/kDkfEYBeinGmFHQKuCkGEp\n",
       "QzBd9GFwFlhutyX/yGB9P9fe4TPSdmMtIGgwOt8vmd+9NL9QyvjsUFSG7CrbRf1TXvopl3v+OLsj\n",
       "8+5XqMZ06l4O7CO6gpU6ukqGiHa0QmiznCNxwrGpcMyq+JgjYTwPFSoLaR7YcUgc5CGK2d+t9PF/\n",
       "HfdpJ0gk+oOG3EtvEwZ9R5k6e9EO2pphlkci9OyGYYJpK8xlkU5YZhlyNagjx4BowwJjTHN8S3zd\n",
       "ksvcOwnbF4n/HLKT5OaDalcIVE+KKP3edQ6Sw5dyvDPB8OilQrbY3gJkNjwxq9ZX4CtKSYThVQB2\n",
       "7VzVFTDQ3dNotpsCGSLly3BucNhjQt6ciL93i0D7N0vmlLBuuSIcjpJQ7lLR9J9BehQU9pRTUeQB\n",
       "3I30FWkzZpUrzXSmR/XyA/idp81FxKOHarteOaGrqAAAAYVBnoRFETxvAYWsNsu91kSMN3FABzeg\n",
       "xkRt7HeyILqFEleTEud8ycYtWIUG+vbrU5YGUL1Hg5cbDRpprKWEUyL9eGAEBE0Fe84KRLCsB7Ws\n",
       "2VLuspbWm2BECKE9FPL/+3PhLpawl34z8Wgr2H+hi2JIgHj2R2efuxGjv9OPJjUT8043Kr/5183U\n",
       "9bkW1hSyG6VzpdY9QFxLVBkruo0tTbtMD4qExXY0LP2AOy4+J+TPPp5yxnZSIlxfGjg2vv7ExqKn\n",
       "BjrDQYgKXb0DKlkvcRrP4UfAjheYR6sWDKBlL2NRPN/xqImP8Qfu1ypOaF/npsM64Wx4VRCe0z6i\n",
       "iRZq+h5jE4VxaPC33gfFRUW0A/2kt1sTOxPByrtMzV/vTAPKQIETCA6YUMbimbAMntgOzRa6Cx/G\n",
       "8hAJbfYXBmhJm5o5eMIH9wjZ1AilFFwkfCfoaL5aH2VBdsZwj4cjDEM5yBX9v5WIkE88orceY4Vs\n",
       "1uOA2i9iiKC/TfoXz9u51slHU9q5tyDjgQAAAOABnqN0Rf8B5rqG7y6rhuNzTT7gA4SZV4dILZiW\n",
       "Gbueegr9qw/FqIWiqlMsbB6dIjdiR40H+QYWgkBgDfG4Fd+dkKmq33/amHzbqfKb4dw3cU67xn/q\n",
       "8nY4lyHjt6XIM3DS5GOxAxwC8HCjLPb7VngRh2AWxB56U3V8v7Werz68zsW7XRsGeAKr7LRpEA3/\n",
       "kP8/mFiD4TigZ5d4blUBrvkNS7gWsuCQ7+EjQXbRghmSJwb8aF6Lp1vORtcxsJcQm7EqLTOLbDRw\n",
       "X8QDiFIjQ96JCxndSlHmQfzhf9JzJUV7iQAAAPUBnqVqRf8B5XnWDzgcfcQAbOwdEsfOQKzWvhtp\n",
       "DTWVPzSf4WrpbPN4xXX+W5fCeo0BHp53CFUbLm10jz8x5jBf/TRm+Nur3I7mF5GDUme6BGSmO7Ok\n",
       "x1zWk2UgKbzOQlwmPfNGFLlpWXz/o6ZqKpiHAGEDDXKXY6gOTALt/IAQhiNVNORwKvi9CM01PosM\n",
       "qNGtPkqWE6Zb+1tD1MIH8h9kVPj4fBPn86DOIqWsZp9+u8mQ64P4Aj8d56EgEISmZ1TYws2d28Ng\n",
       "VCWx1Rz2wGJPwI+23rwF/IeD7OMcsjiAWK9JsdzS8LcNBHuTBY7WDo03fieKcQAABE1BmqpJqEFo\n",
       "mUwIT//98QAU886Q5DCD4AQepA+oO4q5Hf4z9/Tyo2OOqMu4W55zG8bw66ypJtq+bxGVf46Jd94V\n",
       "h6OVkyc5CRxSWidg++3R/PTA4iYi3eKQC2vjAH3sqH6DEao4mOl1KF38dBMYwyHOBTIS+yxudQwH\n",
       "lDOKKBxNVOZlKY6EU7eioXkyWav/3y8Z+zDbb0IUiifXMw3f0rfTpI7y70I+3h31Zga8eIb8h77q\n",
       "NKAodrnwMYkWAZxt4qYSFOai+GbM9k8A1QNelHNBXu4zGaHjH+1c45MmOc4UqCaafYWPaxFgblyS\n",
       "qhSCJunSGsSqX8JsRkPZD6JzEgIRwJ+eEJXVqXTX5cM667hu45cXYBjeAZ93m4td1UfF40RdNOif\n",
       "9wpKYWjnfyGo5BKQvF7LP5P4hRWuTlf8hz83ebFKCmbKQXbgM0OZvIb8vHcqSBNk074gpXRDRmLP\n",
       "zXG/hSOmxE6IvTy08odL3C0NRr3sHOnxsfHA8nDt2EYBJ6rm86BmbA441NASbrrMaSHjCWf9qT9V\n",
       "l1cGkMOeVdWjSYjodu6lBVwvYgcBWQ6ZwEwLnLzs6QsMo4QIr2OEz80EhpuMQGVGsPFI2aoA74yA\n",
       "sDJL3Xu1U45+TNCXpA7hDi7jR4sLntQazZX2nceZshTbs7R1SDXqDbHgK0Vwvj9DtP8VnzPJ62qU\n",
       "unYZfINe4yjPZ+Te3EukfDaihAMp3ZAPQcAd6PaC/f0TEKJcHkk9uGTptQJ9top5h5Ixlj9/+ykm\n",
       "aE0panRgvSm0PzgjJnWmyBZQgEPwpEd9UImd0TwrnVlezJ79xKWeltA57wwjOYWgqMtb6wkT6GJQ\n",
       "SfOQk8evGcaagvr/Ddkv5DHcxC8nBd4Hc+ubZPMRljSUj/tRAd5UpRpZUpr4xgbzQXw38eUjxS7o\n",
       "eGkCtCwWcdLcY8gTuocmQmXnEI/eC2pnDz6Yww5DlujkJl05+Mbzpe95Iv1TyIzOQnB0+fWCHqRG\n",
       "NHB4bkh5amOSrGFpPAaY1Eh9i6nuis8HRHbD+Q6j0DDgw4JFLkRE0Sho8EDduLp9FwMHMhgkYZod\n",
       "7zB7OYF6u+pL+BUWeO6aKf1UFyLcRY2ktezLXBsfOhFTjXlIxj0caA52ITNAgDRgEivXcuWdtxIZ\n",
       "isIs1vCJLArMzFJLE0IoHUE+kO55oofLr/kYHLXHnYILsHdqotqxiAShPSnLJFty6778iRtCSg3z\n",
       "etkrBQDZGA3Y+k5n0aJJT9zY7yBfBiqVWK33ESkig8ufTVAYEfoBDS+RuWeMlQ+gon+zML++I0Fg\n",
       "HTcTPppdmMi1rFVi1OWYmtSLCzd6aR/7HdZPP5PdR1EvWeHv9mPtNWVyh+VCBjsyjIhPCXqUnqaU\n",
       "t3xCd3HJbMC9JhvTxZ8zY6pkMxFbrzQXFeMPstS2vFtXB9ECUJtSksYPmLHYP4EprVeMbeKqVbcY\n",
       "Pfj0nOkakxY4RsEAAAGSQZ7IRREsbwFmF6aABNSZCeDJdMuGjJ4HJnzaSviOal9IxZT1+apiYZeS\n",
       "GjSKUj2o0fOSVnd+VJ8fWIUQpJV6UXSBJjgjLY1UXWHesjOQzYBfgaLkdAuH91Pn+Xp+oKgehUOo\n",
       "TQrmsLT26Z3tHyOjot6y3ILrDHYcTPgLbAY1Sv7PEU3ym8eNqp3tssfis6AOzM7sXbdZOVeBbXI2\n",
       "ePR4CoL1b4RbFXLmDtoqttlPsNx5oH/4w7d6K5OlL+d5cOX3pgGenlol6YpM4HCPtyKcxDUxWHf1\n",
       "nnFVFhM7B96i+TvCn69ViPJ77sAgnoF6DdrG54jbMjICtj90eNb5EVglK8bSXJ5Tnq+f9yl3ZQgO\n",
       "Zq0HbKhsOhREyriHkT77QH0KJG6X+kdhzOtnt46qhkTZDSpLpUmHCsvYZ0OAMzm7QENjTUhZ/fDD\n",
       "PcyxA6Q9NEXFFo02e57jN/DLkftQNhSn4JKAlRVMlZ1+mtAkAwf5vkdkOzAA/8wSIqQCqT+y9fRR\n",
       "pT3XFqicfWWwyHst/YMkyDjgAAABEwGe53RF/wHGymAAiA0KreuWcgsVYQ/zvIct/m3Zr1CdplMI\n",
       "SgkHPH+ymBVsZhqL9xPaShpIyfBiY5qLwvRYxvPQJCe9MT8vCbhyDpKMugG1tWKx3pdmbBSyb9Rp\n",
       "idiBzzY4hf1jK+DATG3EleEWQzbt616ZsXfzwJ646y/bgSSwpb1PTJvagYGpRA1XKcwO1oWB03aP\n",
       "HYoSj6O/p6SJNwzOYh7AXUzw8Y7iLtaT7Z1tWSasarSHBP6VTXUeQmlqFOBlXS8Dg9eRo1bEznyX\n",
       "XrpGWXoqBH5hDxH5yxuAZGYMr25j92pKgRVrGHXXIL7hWzoWK0ePdUOdaMQfe6BheeGhb8ou4orx\n",
       "xmr0KpzXBiowl2poAAABBQGe6WpF/wHlOI3FukmT9yBPiYki2AB1zSbQbz8IW+vd89K04oLZ+FZi\n",
       "sKYlT5c7csMFSHrq/fQKTt32ENLjOLYeI3wUr/PqEffS/RXB462x90jTTPCPmixJy1/JyQLfBvVb\n",
       "3AqhQCbPiGKAb0Q1QoMpx+9544uv+NAcIv0QVD4NO1AGTo5RFHJP7/9EoQyZfvXSFec5bfpeFt66\n",
       "PR7DsBrs2PQX6YeOTOzhNIBV3MwkR0sIW7wVmhFQIijXwHrro0gNOtpMqk/czzz7iGpwqJRMaAJI\n",
       "boijJpoHAaJFgc5jQJyDJAnx2rDEimMsH0IpdwiOv4tmFm5p/qYVXhX/Mp81yYbJbQAAA69Bmu1J\n",
       "qEFsmUwIT//98QAU/7D8AC+vLYd6nacRbxcM1JTBd/WLSY9uBQTGtHcBPRC0r6TB5DxsyP19ARtI\n",
       "QKTgfhmtdW/aASxSIGEg9YQLp480teZd8BDXh3QgTawL5LO8euNs4PirtEIZFhFYSA8cTiYMs090\n",
       "MtsH4RWpSARtdWhx3VN6Pk95CXa99/e0dJvRKfpFrgT1/SS02XTVjOPh3AV4HWgB3pkPc0dUx60B\n",
       "LfcKNR+GjkDY9taL3R4+MJY0KDDq40mYGWxBo8WbuKVr+wxGDPcTXcP+Isidj7zzm/c49Vqm7yMU\n",
       "MPs9ENQNbre0WsS0M0hXb5JWwzyfkEPhx9+B+fbMCqlwZANIutjmbyGwaX+lxsbZq7fcY3FWUbDt\n",
       "YDv+5c1xiQKt/D6+UMjDbzHfN0hNntkB5snIrc1woMZ01ZvpDRag/WAQb7h0QN48k3Lrqb5b1zNe\n",
       "tG1+hbll3kFX2oTaDN73/CrnGnhN3PPWUQ4bxqScIgkh06KCeWID0JZ0O6QkKBdOHkcD2FiDL6fP\n",
       "BdNu3A3caeFDk7Y1nFPdpxMPXdSyNVuzcOXmQX8keK33v4k+qNhf7wQub4UeOPYM2nc7TTlce121\n",
       "AzAc9xP2LLBOftGhFF15SkpdRRNKWXl1/UEbX8lVw3A38jXOM0MzJA7WjHKrMI36nyeEnfsbAwpL\n",
       "p/vH54bmIuz2KhU/u+EQgdEHUXrFUW1/IQY4HMqmbIZKcE8K9WDk1YeViScxmAtpU9jk1ceAouya\n",
       "W+W48ppR//z3We33T4PZtxRl0mBUdJfur02d/eKk/0odB/VGE5jz/7ZlyboBGv2GW1jTfJmeojKY\n",
       "6IwfxfZWapZheQT4ynd+onRDVDxNC++BOwQMe2c7lijyzwVTuWeAspbP1IETZlZJD5/XNFXIuugn\n",
       "Cb0YHxZxI4bq3yQbzapi/JH/nyaKO27kRJGqWTQkcKh4yGsNXF49kcLU02VidqfruY0hz29ua+EP\n",
       "hBtAJo3HsZpKPiMWojyWwj/NT3umQ2FWwzO2jIIbOy0qJGCvYMycYNYbAagz9rMUY3veR/IZX3fy\n",
       "Z/d5out6p+Az4FghkijN8Rol6G961bz2hF9eOd6+OtsDq2hMmiEszaRuV3zSDHnF142tVTP+cwUR\n",
       "CgEuhkQoFo2JtBzyhXCE2XLQs1rWJfNBO20gVUuBFCNXJ9khPRtrZfAh0SsNcPvToarIZZpRkHvF\n",
       "UPGWNlhS80/mGc4AxJnHagsUXV/Pa+ju2LuAAAABIEGfC0UVLF8BxWdT9lOgAEO4z/RNAQ0T1503\n",
       "8kqBYCa2Y61YZ0jPIf4+4yLi+/ZvebgwerK0spObGyXbyJPptKvBpxIq3AZYa8VUYxPRARa0Rcv/\n",
       "Sj78FG/ODgQT47z2YtFAcEK54qu/VIFiq4a62J4PK4Aw+bjcLbiA2OyK/qLnFoA23uy5AEX7sliS\n",
       "diD3gfOGoRDsEZ4QBjUWoYGLJ1jxEWfBv9QR6gdRiwfChfE4UPJvYbWJ9xukKsFxDvg1tVsj/4sx\n",
       "hJYrZFhxN21s/et+OnMLaa/wVXbXOYztxCOjmZUVSeiEQZUGdICPzqEHOIgpDu9CL4FuOG6TZuhQ\n",
       "ck5ocVhVkMkzAJqUiLyKhMDr9St1si9OVySa8nIAzhwmnAAAAPsBnyxqRf8B5TiNxbpK2bgAiBQd\n",
       "v0Wc28s32t2Chfy+xyQUiYkPid7eLU/RIiu6VlNKnk/fp0br/4ABKWxigSE4jcYgSfhH/L96urUC\n",
       "v0ghhKSagipDzX9nTj4UjGyMMRPv1VP3sct8mNEke7COwoasBEqKpWIWMZWuOWZWPEttOvahKVlh\n",
       "g1wPS1qD3Sk98jc4oFaGXYxpuaRuBocxpNayp4AuHD23XvtSZDIMhb6fJ2HLVBQ22Ojrp2s5ZMsc\n",
       "bRi9quD2v8DVEk1JlRVsjH+wfsvZ10ZeN+9rbkUSU10MduHE2/h5YNdiCHq+tsYhO14P5jpTI7OW\n",
       "N/tekQAAA9xBmzFJqEFsmUwIR//94QAhj/X9LVAAFBsiFTiVSx9STOnC15geg1TPVfYBgMN6VUqa\n",
       "Go90yBUqRSCb5/eFhi6+y5WrwU1dZ8zZIx6hwAtSpdq6aiyColWAhNfwn4PXRW4+rU3sZ+5yo/hf\n",
       "00oXfxOuSu6GpCSrY07tFg9Un8OWwNdqhh0VgHECwZZcAK9YNszSZTJFg89zmTFVaZla3wtRxiql\n",
       "eWRa4VBTrBP4CShjk1iiQPiH6nWJXZeHQSQG27zfTZq46HRdy79xP8whTzc32URp265QHfA2gEza\n",
       "v5pI8kJMHX/mXOeeR6HORjnvhi5fLFFGXNqWaaQ6uNlDhH4U049bMgEpVLIP+hnrNftVF74P3PbB\n",
       "gD8ZoE2XxweVS08qzjbEn2gDrLSLsXJoL09eJTRAmkrc0u5R8XJWfmoKWlAr01JybvNU1I2E+//B\n",
       "8J8h/D07uUYanM9EQgXm+Ybui7/VQPPx121eFi2S5ooGCaSflLyNNPWdJhHB98TS05NMb/ikrzx+\n",
       "4+RacXWPMeaNtfLBzzDsuMqnm/NWJoJff1aaFTrUI2BPuRg1W79XyHzvsnI+AvF4mpUyiC7C/s2w\n",
       "dEIYrKbpT1ndnIgu+Z7A1pEtZbHD+bpwYo9j6eNVHfCgQtq5bUOqSMj/xfUuzdtSXUditkGhT2cv\n",
       "V8DUvS/i4hOZup7eE3lhONbRfbmyz2tPeIBnRVMRvUCpZ4yqWMPz0Yo/pFyEW11ro1n6+sOaX+s1\n",
       "Nsb1RblMxGQze2EmImQSgLlSdTb9zEYaRUnT2rtTMO7tLkHAHWJEu9+Ser6tNn3nBDExEm+SFs8W\n",
       "HBwDym4FNYb/9hbVQ/LGS4m4qxCf60zVZbv87KYzqzIYwTV82Olq+bfDNU94fCm06+mJYXvBeIQs\n",
       "fL87HSweij2v/8fhybssh9J4zzbril0F66sKqY3vEISd4l4RtZjhDZhvMRZNf5lDzDM616Mzq+f1\n",
       "JmWJ58E0UsKajg/+VDW/txLJcdw8ILp8p/vcn/oQFjntduDhGvj6afWxaSChJZr1LcSdvN0CqSZ6\n",
       "b73tDPUadhasOEzFYygljT0X4oqIoH9bYhIZzOf8301lXkf1+gqePfdjaS82pcVLrlEbUui3H725\n",
       "rpLa4XzTVSgC57OqGltCg5zC+O3/MjmVC1wToyD8XUc9gb2s9elkfQQqQcou8EmWNKBBXErWe5vh\n",
       "BvnHaIs1e2YM1mJoQFRqKgyPTNOhBA3kVnRjrGeh6MBrcIRrkP/o0+J/nefqiBA+QCLNw1ecDzgb\n",
       "EqzLlFPtzPu3m2Z5RPgmatWJkJcJrfKusixpAAABt0GfT0UVLG8Bc8ArHRb5pwAOISyq/slPaX7L\n",
       "JiKAtVl/+Q+bFiQcRhqzOMQ/MJHJKz/PaGQ69HcwDq5fz4q2JSfI7Xa+W2EUGBf5/4/9qC04XAJR\n",
       "CKdeGt3T+DonbfYQm34aFMvAXFsg2OCC0XOop3VxzhE3ePlzkRh2r0Lo0PFk3Xmv2E8AvSHVsWUF\n",
       "M1jkGOjyMS3382KMd4oRO8uGmzMgCnDdmY2jHeMSKX9493/Bb2fsRmg2Hfc95rf2wUxytGPdPijm\n",
       "5u57fZbX7FCAnWlboUlXOhMmfw4VjdEzbaU20vLotatURBUaFqkqAfQ1PjBPL4wSEV0I1aLVjPKA\n",
       "+YlwQViy6jadE3X7vIQq6NzYHyncEuiJWy58Pl8sVQWqlXOceG+opyGDQiK/aMu6yZNsU+g741Kx\n",
       "d3dtNT3snORuXXatW4xQTWVl54ouQPLuVLpxZ5S/nhXOt8OncqJ++T5afUD9/BoG2VzAYsXo8oEj\n",
       "cp0bIkHZTQEe4AQo4/rf1kGtM6zYxvDge3f3K9GW2tJfANOe3eP5A66c0ExXsgxhY2PPaPZdI3su\n",
       "QsXk6EwgNMngudVAm4EAAACtAZ9udEX/AcWpQQeKspsrQAcyOTkJjAv9tIKFUSUw5coDmfzhF35I\n",
       "97gnAxFQ0OUexgTdKkUkvrASYnsXuR5T8do+Pnkfaf4iAqgm7Yu057+qlaIiRudRSyv//H09nLc8\n",
       "+a2ltZZDyLsW0eiJhPsgDD9K28Q9hNt+cVeb3elB7kfohUuo+1I3kIOy3fH9cb62lzB1tXap0FEM\n",
       "cfOdJFdQbivUK8FplDIhvaaDMsYAAADWAZ9wakX/Ac95wcuHO8IAGyboqFdd2F2/VkP2ovtuER4N\n",
       "7nIH+DLCpgINv+sbovBglTSIpf4b+eB6YVY1P4NzY4JP9onChIHR226orQi9o1rjMSJHdgCe9ZaE\n",
       "f3rHD2hUX9qcxxcKmFR8GGP51bndE+PU8130qayvj9ayKzCFahNYy1Fm8NlW9Ps1NQsdRWYGwWXu\n",
       "UEwmxaGpuiv2KBwZ/i5GO9O5eeTHsCYpmJVm3w9+fVqUVKHakqnE6j2eOruWze0zq8F5qkx2qpuX\n",
       "OAwB/LkV2ypBkwAAA7VBm3RJqEFsmUwI//yEAH6xgwAP5i4VH+KbMNLhJI6jEahJ/VWufFrSIWRg\n",
       "sGCsO6/2DnrfMHV5Dp3lskInLWJOyXVZXjRr01Qmwr/FQl8eRHfMfQwywMMBV8TqLbqY/l1kGBQ9\n",
       "MjKiBrNTdPGqNVH/gfBq5rdQ86/JBgCQq+gL1xGFQPAiCgxN0CYxj0naxCksQyCjjrrwkHpjlNFE\n",
       "xeiU4W6rOL5v6Huy2FXY5l9Z0+aIRSxfqK54qA+CR6cnZBLnyIVAYGWkwijiA93Z8ZyBvVb418gV\n",
       "QCoAjlelKKgWYuxqCLg0L6MHcUJQdk5hQrswYBEmBFNq0pBjLHFTA7gX6MtIEZlf1fOs5TW5r3rU\n",
       "EZeSnF+PNPFB+C0n9lkNR3zd9dMQbFW0+cWCWW/rYj9amT1dQmbXRURRyj83R8MNCf/leXOe+h4D\n",
       "Co4RZRQfOkM4oo7jVIvetjziBGuMswJxsmRC/ZlQVpTdQzfnAvJ8cnNI4sV0VlbGPw7jc7oJboSn\n",
       "v9nsRdldoGXGZn5qfW9zq4Pn7TLXZEwX7sl1kBJNXEA8Ry8k4OdgmsXYs02kULOENsDBPhdqTJQb\n",
       "Dh7CYMyzM5odDKtTOFjj6B5G2KO5lNQAk4Asbn08fmVznmohqk+4U/cg+c7OV4DXTpzLbdKBefuL\n",
       "CA+8OxlGA/BBi/MlBVTZS2tFn/2X9Wd2AAKDdq8n9TKy7c3kkoEaftK7ScCHz0MJPkMjEHU+JAOS\n",
       "SqSf23aXRai5LheITPb58Qhnw/+KEX5kuTbB09IYUVdBCs+uWSVKZ6kw/QALfFrN53ZYfbA2y7mr\n",
       "FjSrQehiuVw68c+Zrj1ecpFkcepVRd+pEVD80SpL8khT9ww/5DqIjVoWGajYBqQmHcOByfBOn4q+\n",
       "GKjZVvNCJcSluf++7H3pC550MZA8+Gh5/Re+7P1z2GwYfx29rnWvJYJ3ZgkVjKWpn3/TFNRMwRta\n",
       "drjRYauzgu282OhBIhIYiNi4Zeom2gwapg4FX43dejOYEP2Jc9kabjG8APsFGg/2rlHjq8KmigmA\n",
       "ley/FKnk8fzhISW6wyJjqe9CgmmLrqklLFMWhT5HTvOr/0Uw6M3XbD+kkyxdjn6aLefp588wxrLz\n",
       "UuAdD4pwi++Yz6vA46J6x2PB6MxNhSmATvvMRZg9Tfh2bxSD9i8GaIzYccbQbWy762z1/HOLJipc\n",
       "qTWzkxJmhdchqvuz61GyMJHeY11aBU0HnkFno3zvJ/L3hU8AxZlOT81Nkd+aj+VA9ETBAAABGEGf\n",
       "kkUVLF8BxspgALpkDeMRY6YJGNnNsAiC3Nm9QJw0l9To8sR2ZNz7gzx66dbCpM1luoupGITBSYCb\n",
       "cBk+idsJu6hEkeM40BPi/chj3bgu3fC5D3S0PwjduSUAbWNjZ49qKVj74m3h8Ct82Jn3UR3teJJE\n",
       "HOWYDAo/5n88tsvyIBa+KhGN/yZI8bAU42shdjJ7pMYA8G6rOM0lHOExprBt6AK2iU8JVRGvsnj4\n",
       "GlEfS09fdHOt0AbgG6XFqU/vEEOB3Ul9KUQcsoor0ibtVZLVdGl7/Jhqru9k1KAG83qfxLLwfTP0\n",
       "M6OXluDDFHVqb+evD51/prFxsH4BuThDc6akvOcyrwRYm+PFEPo7O0AHbgWgUNf0UsAAAADIAZ+z\n",
       "akX/AcVhYMT2nxLQAcxzpVlfVuV2t3XFz5qdt14MzHKrJzxZQY5Eo+1tjddyf03WMynIu4OvejxI\n",
       "Wh4uRV9ChDdyaLH3KClP43uYQYJmHdLsqrz4wM6yTecDePu8es3l0Pf7XPDqPkLoDoWmYd4Dlu/b\n",
       "mrYLQyCgAvWR4M/+DhNN9FlcbTC5rKI6OSeL41siAKWMf2DGE1vx8M3GjThFV2oG3uU6qlJLcdlw\n",
       "vbZAKnvhCt/0jCGx/dmMnqvVkDbCmvhdSpgAAAHHQZu1SahBbJlMCP/8hAB/AkecACWnsNLmrIvM\n",
       "x1YaPNA2XX9dk2R93KZ8mW77Jk1yXR0lxxd2F+Ja63mF7X4QTJXIPEosKOWybndCpMpJzeabv4qc\n",
       "7yds9qUhYiVmfrPKiOgi0LuK+2CzCY/whxn/d3Vw4aQ2VCh/z92SDR8Z1NzhsKlYknPsmcw39t9c\n",
       "JHTD9KRoyc3K7nFOu12Dn8K6/n0ze7UgS8nqQ+/EOhSTOrRFLYZatxo4luAn/mGbNfSeVnpQeV9o\n",
       "ssTAKbYBSAbPJt+dmpkQgBxyjoanXj0wNCOn9Hrb0l1LIdkius8HYFH5E+3aKAMd9nh6jqiID0ZV\n",
       "pnehC8uHIj/qgrFZiD43TcR+sd5hr96usynQOnlCYFSRkU+r9Fcqwr0DLl6HWNRu20GUO3aSoVuX\n",
       "t3OjH0kzLjsSlCuV5xmVWTuZHLIZM6R8cpI8rvD5lvdXPuoMPMQ2/Joq+ZL3qNEiYrLH/gdshS6b\n",
       "23ErpWr7rLKmUx4otssNr5EVs3n9kGMDve+RtFvThgXveaHnnd3d1gCByJ+50LdBiCjLqRqv2vZL\n",
       "oxEv9GXHH3PsNP6F7M5BLI/Ei9ucv2CLBQJUnzEAAAHhQZvWSeEKUmUwIR/94QAfvPO8AAUaW6x4\n",
       "8GxbqcSEhtfuNteSVvAdBlTVe83dLH+ODyiTdUMrkcqoK41UtFFLLTYNiiPpk+ODze6VVHeV/AN9\n",
       "tme706NNQuF8LQV4h6Ab5KqHVDvacerTJo1sLBf7TsdW65UdwVta6jPTvzevHbNiP4xXQJl7gcAC\n",
       "F09znHjW5XSdV2XOHSGHIQZKAyShZDo0oVmywKFvCu76sB0Ny/tTeyPgnQ/uDpMmQxChioEFHWtQ\n",
       "LhlPCkBN9P6pUQszeeug3VaYN00ePtJXZLboilbkaIFdYckZilHKAxgz+MmA7XSuVWjkuVcFAlMG\n",
       "I4SBvjfQ2xJulex2GE8uzLWyo39NOVkJs01uX1J0yPeQNEneT98feM4a3EfFioJeMoyL88Zn0gcP\n",
       "qFOWB3NWdlXl+QPUDZ6hGaPKSIUB0LOmZMtrj1PJHkS4Pyk2vwJNmP3tgIUbgRQ018Swt9OHuZxd\n",
       "yPmGdbM2ePjqLn8jUXJB9HxPgD+qQ6BQDr2GLi3TKdqRQ0jXBCK9JHPlllRP2qloGxyyCKfOfeTP\n",
       "bjZIGa7fhPjfe2/sUjhEh9+wu76pEw0NnxehxtHNoAY/MqBBk6PP7WYkqO8WYl7F2pCfpZW0UZeD\n",
       "gAAAAcRBm/dJ4Q6JlMCEf/3hACCQXvOOBIANi6Rj6V6D1tRGH/+p7jLC2LqYH0pM210S13CvYrcK\n",
       "pXSYxo7eqO95EosWFzmfGDnuKv4NnLaPcQEK7vBT2N88TxK37iyC6wSXssyTRfH/qofVnFwZ/M0g\n",
       "f24wtVa3zk6bKd0W4Lpl8IfgZhSD2qtjMS49u2z/4Pg8tIsb2hZPJJqf2o04PW1ro9lp5rwaFtX6\n",
       "Tta/FSzWchnAkUYALsSFEjX0SAh8qCgtiN5/iPqO7Gf99lobUR7hOfe1wGM+Ze6IqopuYr1/UeHm\n",
       "v9rVdaZn6LlhsbJ/c4Hr2Ko9Wvcr2kv7/Fgb0nlzgDhiAWGQk+pmrvVX6SSITom7JkR3cyVdM67j\n",
       "nF2JtGEGOqnugiEy8X+EKPtRYZI8J0X9UigVbqyMRcKhlv56Bf71z2EtYsLGVKyULX7tJVQ1fGnN\n",
       "4vE5vw3JP2nUvgN/D8cwrhFTs4W4B4wZ5VkM7E/5jMRIXImJW7U9g0oRIwrUP5wzTvzuDiZtcWaH\n",
       "zGixA/nmAjUHzNOboaQ5SpnkhkI65+QYOLvLUNUJfk4vpbXIa5FjNsJ+CD0aEMMmQcV/lUJPU/+X\n",
       "gQAAAkNBmhhJ4Q8mUwIT//3xABT+jZwAhTt8gzQ6IHfaAuM9B8uW084zcMRTpGHR7sefoh0ln+Ss\n",
       "mUtZoSQE4RjCBVRvcK6+ASUx01Nsw28frT5gspO9UBzik31zKcQWirqbDx3gug49ZHfjj33OLQu1\n",
       "Ij/KzBMtATv4F9crTqDp8vAeBFoyq0Vee8r3icm/2SEpRGc4NzP9Th9Hy660fVdDk+JK++BaohtP\n",
       "+nEzndOhGkqozRhIvezsaDPFjjkBRNDaoTHgGyr6AVFEIuvoAss2Cm1OvX6E/CQHtT15FmDXenoz\n",
       "dQB2Uo1uKDMPVJfoMXaKq1De7gSn93X/488e/F5e+mJE67ZaYzc4NGO7iVYXfIP5T6E2Vvo832Hl\n",
       "DRyMx/8oWbGvJkQcWf80of56nn+6nBR7RdvdGhWGrRInkVdIDAfOxlkQqrLy2bwloo9TV2Z9LfLr\n",
       "I4ghpi0k39iOvV77rom2CBFQ+qSa/GBmjRKosKuDMqf8o1yEgMkG1C++i6pqYqaLWw61nqvVQs8g\n",
       "m80Ewq0wH1Q1xHtuJQQ3fl1mxm7DxDHSRVTpxpCvp9D/Kyumq0rSJjS/6d6CYo04T86B4aeCfroE\n",
       "XcrVPT2rFaDyqZhW8tSyiDCf+GkB75HlbqrutylYtmDocxIfveFzu79ZbXq9eQoIGL1qnrGS4oT/\n",
       "yGbKD8OW5JRyy8PFvn9xDLuX6dMgKBjbbgh9K7pxD1nH03upOE0HsEL4mp+mf2UOj98zrnRXrTKt\n",
       "8BS8yNROoU7FBx5g6YEAAAIoQZo6SeEPJlMFETwn//3xABTy04x69eAEH53T7+QjFDm+/JbnJoUp\n",
       "J82R9FifQoi1rAONWxporvOyjN6vbV7tBBn18UuP0HKzEEk7ZaWsmQt/t2/dH7n5lrU2glzL88VE\n",
       "V1D/hpfr6w/GId0a6cz7eCl8hsWxtPT/EN+8zD0k6h2PvaBKShQ5zUBEsqe+NClcFPbXrUq2oLQ/\n",
       "P1ccB6jvJGYOckh5+Lcd8UH22/zccudqtArCcqMufSb49jJ4LXpJo4anLCAxU8n+fOJFRSkEAt5h\n",
       "wtacgeSb/tRDo6rAQBbiiZieW8JIFZE2EXODMudharcRASr6+PbBrPU7DTCscqq3BmpvvkMojrCK\n",
       "FMpnG8Gmm2bLvcxSF+BBtyQyL9/ZqUz3ANWZzThiMkOT24f5xg7IBs1Aw2woQjDne2dPFPIrAMX7\n",
       "H1pTFRWuqWHx73YkEfI4uP7MLOZsCsLYNhXqj/mhSMUIRHszhsoKUWnqGqG0GpepD9FbA203tqjf\n",
       "a0sSRb7MBBqOPmLsoyC4T9PWsLeiHMLzKQTaNt6UtS/JhbqWIlGx94roG7nH8oucUzkHOnS4hFrD\n",
       "XdkV6Nnp4PYFnK7Vq1t3/oLAZ4AFvhPcFZDxUAz2xdGbp8fpKA/Xd9oslJPXtnlY3Vlw8XXGOpJY\n",
       "qkeM1yEDRfKx3niN7m17cDf3ZbMhQSxCr7jvEUFNyI5d+ex2xXzfDY9FpoTzvgI4pKNdc5ezvqG6\n",
       "AAAAxQGeWWpF/wHlOI3FukmT9yBVCbkABerCu+iQbuY5KwnbgwofV4gd9dAiH/CmVdYKLSOv4UmC\n",
       "0yasS4kpyrcSf7q1zcfsIRUoZWG4sRqC+wnQ9aszCMJt0h05uDwmLkzHZt7P0FTye7Spz+u0GtXZ\n",
       "JMgyaTu1G/Nt/u1zJoyFn33l4otGzMStxPFBGy7jCutzLU+giOyK36lV40VeyaK1Ox9jWTuU2Yt8\n",
       "bRaaGSiaY3YTXfHwT0hSh+pEfYgviunDGScSqMKBAAADW0GaXknhDyZTAhP//fEAFPHG3jMBUAFr\n",
       "iPpg6Qz7PfkovAzgRyguZLWDcqlYvw3MCJ++9tZapD6KhOQhTXPLxju3gB/VJtdGSTz+Y8EtTrlM\n",
       "8174CUr8O6c9cBCJS9bQi8zqQoBUTKteD7DsMjBZocX1y7tqpnj1tIc/Y20vjk1LLhvQJqlvRG6J\n",
       "qdIKdZbAL/GkcQEUX56qCAgjzNA+jtx9xZ42P/lsYaCP8VByDtJCFqEIXXmd0TLgVoZahM7dsukY\n",
       "ZxGA9TKHRuCVw5/ac7OquVpLtm9dZAg1FFpxcJRJWCeNIf8qF+EMPGY1kA+uoqlat+uoOQfJdjSU\n",
       "vez4PiGp4pO73H5VyifEjAqpQcU++LePSQORddF5LGAkKyEftPPQd1SsAsXX17iQ6onsnKp5ui+v\n",
       "05MA+gCcs1rxiXQOKJV6onNLTl4vwOblJuJ7ZTEOBeT0w6s+5IwAB2Mc/28nwIkRbG/OCB5Vz4kj\n",
       "uV+UIaCUz4HMK3RCz4h2AcBSL/JYnN0rJVRWY3pFzTW3Djy1jYVpkjyRqykjgDQizwi3L4dR0ssI\n",
       "p+pfL+s4Dq1CaKpDIXpf9x0fYvJCp5PJPyOkbp9Eyzj1YVykk2mdJ/4nCFGEl0GwVgfXSBl2MyTi\n",
       "a2zqvfq+D51gPS+qRRC/abqL0BjLnxOfuxf3QZ6PiQKgrtelgId36yRDHU1zTL4z1oup8oZAdNri\n",
       "N5OSZiBOadj1BpEsJ3Xi2XSdgzcFuSU0s4sVfG/iZb+kCSTGEBjef2oCTmz+nGw9QIXT390tjdGE\n",
       "+TDS41A9J6d6ix/ganf/LOzXK9M3b3C22EZGU8TnsEfGLMeB+G5wg9dWAUa2DuA6CvkbKWaN77E1\n",
       "XIBJVNs/22VmreAsNybnAvZ+aGoi24acUccGB60/DvbfKC9uwruXH1fSERSri5jRI/2BVO+PsJzC\n",
       "YrKDEeaNRKgsAIeKiZT1OJe1Ezz6xPi4iZvBTJNSST4imQUN/v2/HRmXYff2/E1QMFMuP5QFM0ve\n",
       "uJvb93NPgFZLRkFubCcug6xjzos3X72wyFrNE3aXwLJ3/lMx8FnvPW4auJIz/BhNOVTLfsToPT0f\n",
       "foDh5+TYeZzGm7eOxoV8WNq6t4VFSPPHHVXSXG2EDKtgZ+g1V8AAAAFpQZ58RRE8bwFl0d7G4Dns\n",
       "gA/nCxgyHnjLGH/qYVyyfkVxx9PH/KgEILEMiJiRqg8jNshym4wKUS4bypu16JExi4d2lMm/MdHp\n",
       "o9K/fGBZb29U6B8ynwdaWdsE3va9Xur75sc4ih/1gzDqi/dgb8H6tf/lUgli0G87LQSzvEnWHd3o\n",
       "ba/rbnVkG08rzuK70OiAqmNqvgkOy1C+PctL69f5Et2rPW6hd5H6CYnJCdcNtzs2gnxsmJZ6PqUp\n",
       "6gpMjLtCjOqSXVAkTb1MkT+EV/LDQvw6VOG/L2DhCt4x8wLbJ1Na/Dbl78xHuN27N8mgDHACAkj4\n",
       "95WV+esWX7bt5s+iMyPsrCVpAxCbjgK0F0CnkQFHPLaDLNLyAcnXp6HabQTrk0/J8SM4pCwrATTr\n",
       "FIFZ2nPiuEdgriTWJyVWPASxDsah4utPHKWEa91F2msIF/CaMtSzQB34LzWNYDFtfAxPHLePzv+r\n",
       "stEO4QAAAM8Bnpt0Rf8BxBzzdbjWetABzcUbXn7EwgJcGOWhnmqc8LEXL+RlqyDrD2raqGM8zoU5\n",
       "/jD6hc0Q6wBSZbH7+P2DDBCoF5WP4cMLNG0Y90sfppc7mQWYtGLgzkJiCdjy9J0ds1q/D6A0BUz2\n",
       "Re/1Lodq84n4HDe69QCsHU6kqrogB055L69GBCZXzxtd2VhIvvCBdp/tnlcwzYqA/+nBQyfjkDA2\n",
       "KxiJuX/ZH6xSBYaVPXItf0yqwucrAoCsMZy5O3zJT1gzzkLg4vHFk0sdA5kAAADHAZ6dakX/AcRn\n",
       "ccPnzA3fcACGb5rSUmKU34KoNDkLao/BFwq9gdfwWW0fWFg05gKsOvCHQawqZhEWGCWcTLRcanRI\n",
       "ZU/X82Hecw2rf5knVvllByha0ZnjuJ2aD/sgvmh6at+9i4QhrGJZpRvFqYKaQDyiAUKoh5nW2lmp\n",
       "17jnlleOxWUVrMxBHgTBW8rBM4XlqrGrshqLmeV1cDQNt0OpEoaDHW6kvJ7UJuL0rxvUXzhsANfp\n",
       "Q8gSDm+fmM/rrzrJCf3THRaLuAAAArpBmoBJqEFomUwU8J/98QAVoq4/AAX+c8Wt8HCVAdWEMS22\n",
       "rtUvfO4Lu1/KZEMjz4bla23XoFzZAVXQbCG1CsAw5UjWam4t1UpOE7Z/Czk9j2dAI/hdm7cErAKS\n",
       "0i/7E/5XsC95MX1ahYxxFuT2pvgMh2Z2RBX3tKvn+bb+cyBHq+9fGNptGjGIyrwatfFdlfEG4br+\n",
       "/jRLlkqw1Z8X7ahzWEBSpCwF7fmCv0r7iCwEG39HxiT91l1jU+xuWyaknqnps/XBPkKS0fWs/LwS\n",
       "u63F+xJ+a8xLs7HdyzOEDeF3TJzJkgdICKS1FfItw5IL7pybsf5DqQx1A/RSHwLlrfmcKUgNFLeW\n",
       "Rw05dwUQMf/whKcpZ3pTmbvwomiuVTHpT4K82LO2ETxLaCJuc3igpSyaFLcj93uJG+64LgO1JsOD\n",
       "MUURhSPUXnGO9rCaQiqELrBRV7AEVXDXmWFk53VBPJZakXzmTToQ6QxMO0fYZmoJkT5TGjtoKf6o\n",
       "EMd9sPuwgglm8WE+s/2OWhTZWHjf6suttHoPgDps5bGh9W7xCwxE+QKD+e1NKGllgwqfZ1oG2tBr\n",
       "OfkYX28sAyjp52D/PlxsIucF2ewl9Ih2LAMwVeZ0CfBbBYhWSz94AdoQwlHvl6YmUBMaUpUwbvKG\n",
       "NN4ws8pHerr0Pw6cp0ef7RjtJei6pRiofZ9M0118cdi2UUmIbBFamSeN67iniDj1mADok2B3KOnF\n",
       "XNl1BAZWj2v6zGZqf3XeYvm/IW0xQJa86EMPTMYJMpcAUWYhlMAZYc/xE9VaRr5tpqBnXAQk2NNW\n",
       "7QDRzhUKhVNBQkTAKAr+z1jEEuBCZ5nDyFNzqsOew+OVrRBu0V9EnUF8bDP4ij/J5///YIjdg+7F\n",
       "852I9JMglr53zwDiY5x//RgpDs/d3TXR4pmMjhHki1BQFW9GpAAAAOQBnr9qRf8B0GFZpWPjABrV\n",
       "ehujvYmppshxy187hLDNKyypumTbyEqvzAb2VuRlHumjC7zwbhilq38XHTPex7mwX6A5natv2HfL\n",
       "7dezx+kC9peHT2Tct8oZkgQboWH/Lf4BH5myo4MNDEsJSbk+Kfv8FsCQ6euOZ5i7IT0vB+OmdcW2\n",
       "chPBH26fH2ie21x6ozz8s7V6lVSDt1ACxrPiLSS8vhd2nGns9545pApdcVHZUKGN2m8g00ODu20K\n",
       "ibYae8TiWnCWl2Z6N+XS3w7m36dCUb0bDSW+B3Q2afS1G9aP50hTxSUAAAMNQZqjSeEKUmUwIT/9\n",
       "8QAU+p5wAmryurrQBOflrPWjIcfBIAzjDdlDq+ljwFRhAM/Z4ihgOf9YD/TYxUAnjjnxr422eR2p\n",
       "mFjFSo73AebDVGevUaTt3GeSrTXdG+LYTzLWh5IyIvcdSOAdUsVAx6dOgWCtgi8tIdV05quMSOan\n",
       "aLHh4MfsoHtgm59xHwJJHl48g2rTz93TGp8XcQAhTN2CXfuYVKjbCSvIHGG6/LJuO+NEvaobmuQK\n",
       "76XOpNkNCqlSPC6wTbrzNVVysa16mRAaLofYv3LMiyfMe5IAroHRCq7VpvFQfBVfHdCe4PIbxUkk\n",
       "KeM/70dbRYN4ApbTEw3L98iwvA9EdCNhMaNJHmSdnfrZ1dsFkp7dRe2omnclieUHcgjAb++vRctu\n",
       "1hRurgGCeZo45LU80PIbKI20vjK91Ktsy3fDW43WC0v/Y6xLPtruhqTzsF/MR5lJ97GzvpZegRTh\n",
       "zjyE0SmYc0h+i31kfh/mrek8rDPf45pe1qFlYBBN0BEGNRMNDSBV/E6fS2dSWsytriRJm6sOzt0C\n",
       "hs3SNFqRIcy+ZQcpYrtqtbrr9xDI/uOzEtWCWubGjINd8LUyQl9fklcl2/8UpC1+eQJYk9cJmMcu\n",
       "Dg1lq7o8Y2KH9nqOZqJ6drYo2m1/s6a1iwhSUecLURcRAJQDLWd83CE4JCAjE78fDx2RqzKnqC6g\n",
       "XS06TimPDFM+rMZVAg2lTOpKrXvH9iKbOo99lsMBl9fsV/NRsYZogwz21bWkKLEKGsVlFTDXaRi3\n",
       "NAGGq9XERMCa2AQFw4I99LNYx7z9eeWyX7dDUChqko2YVmIXqo3xr86wehsrETGSXePE7PsKBucJ\n",
       "JD1XTOKYFvhLWdsVxLFsYmc2TwfjBHimjK9xXE5dwnvCZvjL8VuictwLipca1F4Iq6kqcRZgt5Jh\n",
       "0o42xuQ8oKg11JgkCwp6ffOFuisKep2a0pulkf3x/b3e0Iywy5sG16izqsv07UoYtVXWuQgnHy0z\n",
       "/I1FTJoMTH6Ol6M8Bra0vzzfTsiP0aqfG2yxYAAAANNBnsFFNExfAcVsZZIANlphOMoW45EYeM/y\n",
       "iP3xzIAIUOQU1E7dwV5H0x/+4hAzMRQ0jxnC/tnSqKBqGw5EqW4C0UfFfG3ukvudZOfBjsN6/6Cf\n",
       "cFIaGAURQsxIFk1tpKT6BkhmaTo3SFWrNOpcRPEhNX3pXynDdDCRRfNhr+xi4kH03MYBAAQLzFga\n",
       "PNwz45e3TOlGjspPIbZEZ0X8V7ZFKrPv7UPVvvYfoQa+/ymrwhPv7J4N3+qPvI5L0YBMCKvvbi7r\n",
       "2YC5bMksxK5fHKA7LdNlAAAA3AGe4mpF/wHBHtdgAIf7RR4xekSH/4K1KB065F1r1vBKiLGlMs/x\n",
       "QLq0eN31CAZQjiUDu9W+63NGsqPXw5b6kYg5RVIQOmnJI+bu2uIwKzAA9gN0x5FQ9wvqC13MEWfg\n",
       "+c5lG92ehJ8I9qlXbC3rXaWrgvPOt3XL++c2rRvy76GcAhtWCDBHqXIDo8heqjDncemiVlAlW3Hi\n",
       "reGIxIp6M2yGcdqG1BI6xdOo3FqD4XpIw0tMes+lBnvHJ3BNwsgWq70gAxOCOisqT/GLWVKACKq8\n",
       "auUfQF+dxUQEV8wAAAOMQZrnSahBaJlMCE///fEAFQjpkgfACaZ08QwszXxwswsmY7r1y86hHh/3\n",
       "AKz03WTnfDYfQrmm/wuIyC6dQe32wUFoqWbbh5lxHE7b3n/y268RSefMvuN4h2+0SPZUIvY4YSMT\n",
       "7L1ksUQzaXUUaVYRX/iA9oxU3m0hHHPDXZR0n6ML8BF47MJRXRrVizSGPoULE0iaEx9Idslb8+uL\n",
       "zGhiMZ0MlTGG/HhfmQ1fWXVCvVVWphPIayXqU4LUycte3r8udUY3QKtNYUp5sfw7M7z/csahFt8N\n",
       "82D18WKcsbTvhTiT/ZvUAbFBsF7HUh3qpVriNXPkjG8OzkfiFF1CpiZ+2Ns8bmSsBCAxovbyN8Ym\n",
       "oAJjK9W+OSZ6CAnY/jjJiZwrzangOKyV/WH/XFh3yuBbRyNvZ1BWqEVpwku3cFOyIjBwfBw6J0VR\n",
       "dRfZCLrIeoCIOCiloq7VPVBCTUiMt+7BRGGfVAA/5mSUU5WHfNoI/GKC56l/FxYXMVEZSyBR+Ykc\n",
       "xo0fnwfw4hMFd+fVGFQ/PcF14P+2Wzr6fj8wwE1Z+rRDxHSCOevCT2Z3tLiF8fVPrCshT0lDA+eu\n",
       "qyfjgo0gFybukFYnsHTrbPRng4iJphcj5ApKHlEeaQX5R4oaCG1gZGnSRXU6OGzUSR+5GdJbX5Uy\n",
       "LGX9bA7geUpnB9Q3lVg/af3zEXCLAbGAweE0iVTGWld/om/mbqt+nrg3sVjRu5NN1dFTtKQkeZzV\n",
       "DLmL/qmtSYGIy239jt5YvGtYk3C/e1YJiacLSIylXG0aIb0VhSsEOyqQL+F+FcZHdEaAFuuGz8RA\n",
       "cFseWt6Q2Z6csvyLYYJ77qmq6wWh+Q7N6etym55OYU0HfumITps428el/6BBcrfZGRgFF1FqKs/4\n",
       "bDaWmqffgVmzyirFRC7/x0w+9m07cwGo3RKRkVASNGiS/1YX/tH1jeDCCc2V9078VMNqyIPpesIW\n",
       "9FsJ2GgEdGIy7ZkCr7hSSD0uTlL3/5kIoDEPPc1TSBA4mAB3NEVjRJf9q6iOms7r/OEynn6GxWIm\n",
       "ONN+V/1XHiaHye4FFpMFFWdD6xyNmAwpG0w7gPRdc381y0iFH/6q7ZNXxSwdRgqWTmke1PrD9/h2\n",
       "a+Qv/3h/8uzTSgHmoHEBFK3+xLeZEkMMl0nYWH07o5Bzjj6RujtDCkg2R7R/n90Y4W7dNGDlA5cT\n",
       "DdOgRkCiz2KjqoEAAAFVQZ8FRREsbwFryFAAnVS3CCajPptKnev6Un+aJe80u/m9oKkExbYiiE59\n",
       "C5vxSmF+16t4nQFzLgmM60hw/6luQIdsVTUyyxTtPeul9GGbJ+JqhIYn59v1beg4dezrE7gKF+az\n",
       "22G+fvLZWgX4eIreXnO8nt9WDB0pltT3iNoK9CYxnQBzyGzH7Bg9X3oFSN/vboiRr1Ud+qHn0kkF\n",
       "atFGT3ksjSl9fYhdoQB+WDbKHHeEj786Vqfd1/jlTgukkmp7jRgk/sNvrhR8rvBzDxqZ47IGkN0s\n",
       "xIIgDxcQRII/pu4fzpiLJQrHOViXhoVdi5KntFNS6qe/D4jGj2zfb5gEuJlzYr6tkRgAjUCjFNQ9\n",
       "2SYqinEK+SCWR6Tk17TcgHlJPPzesmaDfE6i2SNTYuKOhEy87owfEoxqxyN8WeaC6CkMWRxGdzBK\n",
       "ng4OFTKKlGdTfybg05EAAACZAZ8kdEX/AcWzB9wVAAHWnIAsU0pNz2fo8mviX3USCpu7chx6KRWU\n",
       "r03Ztsej8hcAH34mfqgUQrBBrmDm7zbVxVtiX3F1ZbIIuCBh5cicpJi9XUIlMCJaW6rz2u+wCs6a\n",
       "9X1qSVQPg5nlPCjZNnk9TTnE7DsEKqY7egDRo5/19uuviJ4oiumtXaQQuKy/d/p2rYEEtsHvFW1p\n",
       "AAAAgwGfJmpF/wHFYVTTeBIALd1FkXDrNPUv3OPP9ekcM2QSKRgPYFIhEiZRSK0nKj7xJ7Qiaymq\n",
       "amlIX9yHeeNb1Pj/aHkzUtCa1toWjH236TwTiRkqIt7SzpRW2joT9f5HpEisDRvPDqiIVg43rfxq\n",
       "MpYOh2Zz36QQg3dDRQ7OB+MsoS2hAAADNkGbK0moQWyZTAhH//3hACDTA4IABNXa0EIqWc6ELu6M\n",
       "qB+oNe3iWrq/sg6h81gdBaf9TBxmZa/KK7neke9oDvHpSR9yxArxPxB7vXazWtlLmsz7GJ+I96OR\n",
       "OlNQDGAdMr+nZcHrBCwLxam3H6itgPGpfKfiVxvWrW8TJF7R3RKlsH+Fvqm0FtZYd2mLW88F+f2X\n",
       "+tW9okI6wPl2TucHVwjAzjbj+UN+NSO3Z4LechrRISQB3HELSKM+sdRIm+6Btu3Fq3IXny5x1Px7\n",
       "HrqTP9J5MRKnH1HVBkoWC8Gm4rmPF1Jo5nuI+/6nrs3yxL9I7n8gWgam8FlMiiMTG3UmiEBD6pb2\n",
       "ndS6UYd6PGsVXz8kMJQb8DVq+X4q2TacgtkgKR3FlJqTYzLIMkd77y+ccLAZwAHyWD1zuM/qXAbZ\n",
       "QhL+3trqhsmBHJQkc2lr/MWNMzjAG6ig73otitYUlcDKRqNWi80J9AdoLLk4LekUGP/VTtux/jcE\n",
       "lvep/LiBpKfwcbu7ySzzjGK9w96w3OXbPufTdSFphH4+1MgivT7+raCJSENeBbSmpZVB54rLmwn/\n",
       "F9vwhETXO5cUlnm8lUE3DuXv17UCrJkdC79fQIYp8T/dHmXtxUTJM9rrC/rmsFEMF5gxPTm3iGWL\n",
       "n3CwHw+pFkgL5Vfz+aNqn/TMscwJMdkz2dgGk37vJZmjpvAUbUhiGuMqio5wpFtyRaiq2vIpkRxL\n",
       "cH8mEkclUJC3xAdBNCv27MROBASKC8nP8Eo6phZbF5D+1WESFckVJ1beNqtIFMg0cHE6JJbJjuE7\n",
       "rU+EfNIuq0ipj2RkSttzbCqK9Nu5tWE3c9EdsIuBy86vuM2ovwutxFA25il3cQX9I/NZbTwSP11o\n",
       "nUECZsh37xWmla3Udr9QZ68KBU6LH9QrbOO36b1Sl8BRe5l9qd433Sjqijzcu/F1iAr2PfvFBO8B\n",
       "hAu0ajufst5zn0xxm2V5W6ufBRPst2qt6iiV9yY1riUj9UBjsiMfP/lY5IkdIpVV+tYz2URoWUvI\n",
       "G54R/RsxnCbzd0XsknFoICpmX0HD0e/bYGH1R2PKM54lq9fExsWNNdTzglMOTBKXgAAAAW1Bn0lF\n",
       "FSxvA8Tx9qLSr6qsAF0eKGEmSdneecZrmRPP16U/z5y7PM5TQU7k3Ld6gyFKxImkiQkJulrTBwON\n",
       "BhBeIL7ukbdNYzxfvF+Tk6XIDHsPlawpzaD6nYM3N2tHexjk3yjnyFAKpQdVDlqmDAHe78t3DBiI\n",
       "JARoglgPoikw1jmoDJaONC2Nnaxyrg+N/AQp7vhOmn90Djl6Ifg0xMKVoE2SzlHNpC2gv20+Z3ex\n",
       "Deryj93AnE7vQbP+YICHrCXlMeKcERiq/e+Te28nh5EZJFGyL2icYzdSrpNcM9tRb5YFpEVI19zU\n",
       "csjed52h7uZVPQEfk9kV9I0D2vRNCnG5GF4t9S40SXub5AkANWmL1wIGj9JRYcyU0kIRVUovvrmd\n",
       "Yy/UiRdPNTz4USPPG+s9exUwxFTRiHg/FrKAX8305WlHvtKCNyQ0+pyZeqM2qCS8N4yN6Yl9DcDB\n",
       "452TxAN5k0mT9rBgDY786GPugAAAAK0Bn2h0Rf8E2H2kQnuZu6qJ7KPgBCR7lGiKevX+H6+O4jaL\n",
       "1Vor8Q+GsRDGvjGPJ6YaW9oXSJuo2bp1m0+7lncONB+3P/y90SPIyO+FFVhpK6WvbJnLllt/Ug9e\n",
       "lgiG+/LIjyySEcsQSCzQ64/86iChPRpOH0hNeZMq2tLByLhGw/VYudIm4I9hX+Ez2t6OGts/Ci5i\n",
       "9mSUwKm8OE+j7aPkd75HDL3airOhrr+1IQAAANABn2pqRf8E2Vs5an+JABtNyWlIBuJM7a1e0bBV\n",
       "8hTi5Xb9VviLHM1uM/p816QaBmuQD0fsF+uk1QK7mPhlIJQXLO+iOFSFpqY+DC/DMUiM5loTNmiT\n",
       "ndAhtZWTRsozit2ZmFrL7nczpKU7BisrYj5BFiRbWMT1vWfoYYyB11EAAIeKlVjsqNjxxnOb66EY\n",
       "6WT54K1tQJtlBgmL1q2CqSaT/ADMBxRFxFQkBlZaWSIAPYErXRietMyG/iUecFJDCzb93jNDiPiA\n",
       "qvziCiZ4nAZ8AAACF0GbbEmoQWyZTAhP//3xABR2gpTgAo7Gr2ZA/nh4LI+PwdjzbINkPPPgRfZJ\n",
       "B1nHvtFggGZv1TDE8sblzIKPfWXOFgljcHO7hfeQCOTEPYX+m7OvT8ksgECiHu+ROVBJc+K14Tdh\n",
       "pmJUbaeB6IdfCmzlzk9jYO0xP+8GvRL412wL9ae5zGFfamTOlkcTBxFqCCPWy0p0HdYLgP+gn9H1\n",
       "vVTkluihVHKuoE6CX3DtVYzJjcL6ooITWPtwqMjLWm+nRXtj5uqKaR4bb19NraEkBqVNMOGXmtqN\n",
       "EIQnSaNVIy5YMGfak1oTjdeOPRUpdXmXEenJXXJLv1/MfZvxoElilhkVnn55MFTLBevZQuudcwV9\n",
       "SsWKKRpDy8JekuMJPlHQmq9dk8I2R+7yZ3DLdmj49EhieanIZTXz2VbyAVhbGR2fc2keTjyGIy27\n",
       "SwaCWdmdI7RZ8CB1lvQbWfJapC5ungVH26mxNma1LKnD5CbYPvNG1I3AhT9XV8/+xbC8HyKhnUYB\n",
       "BCI0AXBTu9JfDS5zlFXB5fP8ks9/Es1girQAl4/Wu59RFcNsZDbjCIMmKBp27A51iDR1niEgAQBD\n",
       "iyzfHbTZHTJD9J0x+jtruClM6d6ZfAOAOYOraQI/2Wj5yFuwhEhhDsoCS3PomlSHwywH0nCKVfPx\n",
       "jmg8Ri36PCqpk8ZcabH9M0ab2+RDSgcxl8mbCoxxlT25D5gAAAP4QZuQSeEKUmUwIT/98QAVgye7\n",
       "Qj4Arfb2HP17q8OPFuOv4SvtQ191qk0U099swwW+jiDqVDNZ2my23b09kKQ+n32YQqP2yHZdi2VZ\n",
       "gGLtAeVxUriRv6bbvg63m4Lh5z/SjVt2MRoXL+JQNkufKEg+4Umg+uOS2sbaYy9ydqSn+179Zhbp\n",
       "CjtaZ+GIIZAH813FGFMx+fpL8eHqdGFJkzqHrLZIjC8E+uQugg2hOJ6DooPdmv2wSteXEuuiBFOg\n",
       "y+0BuzZA3ZC9gZ8F3lAceluHGmrH73s9kG0JZsM3t35r8tOlHYm3aXo+lWo5YjhfWkE4aDmswfPt\n",
       "yL4sQpejzDF400zp/HnBZ/Eip6Kzoyk2qHWKVj6tq8OL/DIr2shxLXqLAA5DNIASek05NFQg72Lf\n",
       "QnYbgn+HrIuRPPv9Z/jbniu4/goR4+qPqndwiqaWjEnI/t1aT7HhyiOXvHe/R1uZgJ/ziXJA1l1Y\n",
       "zisYl+LasOVTGB3qPICJf+t2cWY0PoXXgtGnOwDjkmgxAbwbUjQFDMSTqVXc/9YxkMzd8A9P8rJR\n",
       "AqdtxR2aE0QiL36+l982nh8/bEx/DZbsx1KccNvMejEjnBvnDbYEmDSRxZ1lv++qHatAso8VvlVq\n",
       "penPqODFp1tg6/YJvboSRqO2RaC21pBPe79xOLjZcCsTxfnSz9CViQD4hPtLegmybE1rs4pBwA32\n",
       "R0zcJ+Id12PO4jrkeqA55/oLARENHpkyx1uiTa1rb0nKTT1xVNymi/N1p69zKVQf+yisb7QoG7sr\n",
       "dq8Q59mfrXMPEufI5VMAmGdonLDcJSfUoIpxG0Mbmp0iKiyskw2MzVMQCB/+uXMiuiQmmOb8rAGC\n",
       "m27PwvZEoJA5YnrHViDjkj0+yU1ibL3juo+dn/SAsZI6DJIo7cOZhDcuPFgctlikcNz/3z5OsozS\n",
       "TQYq6AoQMTjTHoxgMlYxV6wWkHAyQekdw4SRsVvgj+rT/n065lcPg+W8l6ElgUXzwophZww1asRw\n",
       "ipN8c7i2iV9AxoyTvxboPetbgsKvYSvwPNarL0k8Fyb41MFRdSCmZc3TSAcoeSKzVhYbCJaGyWsg\n",
       "UJhBa3IOaiigw4lahnwXTvp8eQKmDf/0l1nd8XyVpmpEUpY4/hoOmXHyuJjwNof6wlTmtlsDxW74\n",
       "w/i5/+lbJYwd/W6ckqOEExsJhO17sdWfQ0Ar7qtW6QiLcTc426B7umCRWKEXMO2Ww8XfrojyHPk1\n",
       "M89XPkwsLCYO72rWmuG+NSXJaeJFB2dOg1gDrT6IbW7aOdrAoEbPttfjgUp8gQNbRIgoJgH1QakP\n",
       "bQ/7G6E0XBbQakh0LMMRj5P/YFDIrlMI6zZ4QjcAAAFrQZ+uRTRMbwFzw6n16gsAF0Ek7hdaF+5O\n",
       "3vtEHuMTQK9GlcLUBqBeKoezi6msSImP0IdW68CcvjbQ1C9GuVzve18/Ya4tq6BmGtkSRu7pbofw\n",
       "yu87BawgB6xjZ4Lydo8dFzOp36zWJWRzOSCwWcT3fgbB5n1AVjQL++71hhw79sVN/Y8cp33vrg4d\n",
       "qXHF4fl9Z2f4v0uZiQaFOxQh4Qnpjjo3FqktIa4yDzM5u2+WgBwvL3y+D92MtP8qlQHlxNqoJQCT\n",
       "ubbwV5gcZbn+ZG7COVfi5MPwVda34uu8VTpK+K2tYFcIJK5fpw5KC9aiDVHQql/CCfPQ5JwEIwOL\n",
       "cge5uMZ5aBkGQWNo+awmxwkY1WEW7rN0eq79MP75M2TiJkbahjySOUSQEbnPnDlW0QySf3z6+O7D\n",
       "LPprzJUpwwQ71AIHCw/ez4D+WaNO5VZvdr7DbfqFzGIINpi0OrJRKgMuyGZFy1BzgKIFCfjBAAAA\n",
       "uwGfzXRF/wHEJz6kAGz1L4IPm9JCzvvc0YToWVHyHzS+V7ZtMbJhhtgzHU3XNtfiIgP1af8btEdk\n",
       "51CWexA02Us+ce2X02dBjdAOk8zlj+QYiCB7pqk++3FT3v8TZiQ5Ph2rN1vWfqxWh9scqdP/b/Rn\n",
       "L8oEB9bo+80h2gLbPNQSswTJKmLe62Ug64Bded7hbUO4guB4GOsF7Tfmn2vICLwjUxQAnMv2G7s+\n",
       "p2Sc+YEcXOqwcGhJtJQAd0EAAADeAZ/PakX/AdBhqR4WQwAa1G0T4/bF8zmENzwkJbpmke6Q+7GD\n",
       "3BGIQeVfXo6WCqzK0Nfn7VkgR5vPRU3/fixW5TQWisE9Xb63xHnvP/ukBz6wyhlXm4WyWCwp+ZZD\n",
       "9Eh8twODdHTH193GDWaF55ICjTvQR1QOzXnjAE+KAPblXoKoe8Yw6JD59pR1FtqQCWFj3yBdkHj2\n",
       "6xkrTFoomUIrBFNZFMl/wFP1qrkeQNIgFf/11mtUu8rB2anX9iOBkOj9zlWNDqmpUEkUKlV3m2mh\n",
       "qiNeVckT8mykxV0mwMHAAAADqEGb1EmoQWiZTAhP//3xABT7LdAA/ImPv5t3C4v8bNdi7EKF9DDC\n",
       "C3pWhD/gJ17O6zYmvYmlqvQaCj3RXZdNhxiTAofDtWajfkfGeoXHEo/zXTgYqSwoP2wIeW+4/CBz\n",
       "i/5ig2VLhWIRJoDMo9d98RaVDCJE76xeoxDZnTSQBbDnNPBMAjELXRtUS1nlryXr3CoZxXRe/2fe\n",
       "HlUNSamtVOlfp+Vy08fcHgzIv6utXh+zpseB+wRoakJd91mzE4zmIoqQosEdwvOxDnlkNx6pT6pS\n",
       "ThLRXibXZfJx7jy9dEqDgsZQnouSju1PdX5NMv5DC2x32GisZM7XJksucnvgz/DmGtFIJZ+5WdNb\n",
       "JeAv/p8M4/sQsgm0HXiN3NF3Qx2xpvW1wBHWbpkf8BaBVkoJj6VvxiJBX9O0T5Cd2TNBZt+F+YJf\n",
       "D8b4d6hqp/NuNtytHL7cn9a1bsM4BMdYyib6PUmTILWya7EkSuPK0fslqDYzc9joM/+QsprEflWH\n",
       "GOuhMW5T0sW9wHBmw5E1xJnBQQ2pKHS26DiYqa1lw6zBqNT99mzSWkYOjmngyJt4Z9gnjUSYprbG\n",
       "xf9rj8LIkCqIwMPbnmScKlQ2f0UstjzZWFsCMDMaGUk4Cdv6K1OrY5d8T+zR1O4zdVtLC5z8lcaq\n",
       "aQyQOGGtbsVtSqTnuC7dPRN2olnjEe9yz9hD2gVkUkIYL0LQi54KzQI2fPbIcZy/b1O5e1B+kSS+\n",
       "ap+OC/hzXH4OGft2YgcNJQ/6yKJeBQvsLQpuoFWtlyli/PxcxrDNvdLNu1ifiFMWzwrKUps7NMwi\n",
       "Ndhq8kTbWXvh6IDmbUkJQK3TLyrslR9orH6DL5tSrGbncZTQ2YnMAaCYmCQqDHbW1EIdNlZGyMQI\n",
       "WrsgJAdS1ahNsdSrglIVbUagEu55eHr6Gwo1HM3lEVP/dFseVD94TlHOFlVJNe/+MC5ymu66ZeS8\n",
       "07ojuLMvNVQoK0AADFKA3eBInaG7wKyosClGKMF0rfSRr8rzIMD2bfPKfl3HHGt+0HmswXSd5oXE\n",
       "QCzxEMEostN46Hiz186XmR0PM+LF7oDLetnjynniVHDkrtFk0n3W1NtQyxXqoh5Xube5UFn08BNW\n",
       "ZVnF9SMiikHEmAThrOyJNx0LCvWA+A0BKK8b1N32O9rla2QVjkf/EJhcFlF6KqQsE26hNBXV+W8l\n",
       "zeUhH6Mr4PiT/gk4XIaHB/lSv5E+RAaoHmumQ/FxcAQcweeOwtDkpEx3QAAAAW1Bn/JFESxvA8M2\n",
       "W2jgAXz+BIGjYEfV+B0Cdz8751O5F18K9GYyyJ0ofQN4wGzYgjTp1ibaiIonRLle97u3H9OewgzI\n",
       "wNopJnL7KbIxufvBAWha+7mDuqSagEwDp5mynPG0MluKxEw1SpQY6jLopPwzxfteQpg/ih2BAoH0\n",
       "1ToptM6cQjEMiHuR5ST/ICxMHphCNFzjntCH4aNIGgxtpUzqiZxaSdglGMqC86LGBS6dAol6fi9r\n",
       "WtWp2OGXG/2/FkWJEHME5iYXWkPIT61nzYkLU4GQIc1oemmE3jXH4bkOl9vKLYEJBgrTR5+i4EB5\n",
       "O2nt4OfhJMJtMiyLAbh+UjcTEOE/WLUbvgRHaAG93oDoMJyfybxekW3TJL+Mi6bBtthSzPeeuE0o\n",
       "sXX70UP1r6tR23YouT1eCaK/rw1P7oufQUWJDq105udpMilxvv+CTDqSlbRZr4ZVOzzE71OLl+KS\n",
       "+vJyZvcVXs5o2I4zIQAAANYBnhF0Rf8BxbrY4AAcVYvqTkBn5WuDsLxy/zPgGLpMIPDargKLjMwH\n",
       "2wpaVECpTcal5zMNvPJjEVJMTJ5iZ9C2ocJ16ba7nf+gCUtabKGrwrPfWbTL++Qs2cQPwFdsfTaF\n",
       "+FR7sLSWlHz04WfWL/oXxJJfcAbI6mrgL5QyKvx6v+5CjNcme+kVLOfGf/lRCaxi2DyV7h00xbhg\n",
       "gMQfPTiAQX/LPn+5s7AvVuIUZfXYMdMRWwS0w5ip4Fqn2/HULDNrpI092pnU1fRQ0QDxd/MECVjH\n",
       "9Ah4AAAA5gGeE2pF/wHEZ3HATaqAX+YANpVictsKVmRs6lSIsP+0DVROvR2GGIIEs/FcWF40W8iR\n",
       "6En3u8BQ/SN81qE1tMLT4hSzyOrM6SiZNyLwpvfdbH/o3rR2QI8Fa8STEBKc8O/SkjLoek2GA5NU\n",
       "vveSI0Sed8Xb2m3P6nSpvN48mFt6U7G3qdh3d92xC2TyY2yqctjweuZeep5onS/82r+PFo56BPmX\n",
       "lxXrGDhoAhwrqfVDTyQldI3pztKSxMcDWqRa4fX5gP9q1GZhWTyH7t1OlNfvm3lCIhz7s/+LYPem\n",
       "rQ9HSy/5T0R8AAADykGaGEmoQWyZTAhP//3xABUI2vOAE1dvY/qm9v1axkrXYy43jaVQAsgnhZgf\n",
       "XesEtizpBe603TsMPnUioFwEynknmWyLCDX3uFX9YFM2BFxFl/FWh/dkyazl5aOOhO2hCUcqbT+r\n",
       "du6Jh7exG353O30EHpuOOyNagmn5el20Wm42+9qIlgCDZrMC8IZCWwxXBBDHhcgkbk4RJZyMuIF2\n",
       "hWOQdLdgtxJmvgan9kBB9hFcsDPvRFURXtCqU6sHo5Vqt0EaPD3LMbUie2Jl42+swaH3+3K06TYq\n",
       "trASPd7MNF38k5flkulWgxClVJlgsb3n1gwkW9OjZjKJEdo2oW0Z3KZWR+/GYzdDIA6/jh0ZRyh2\n",
       "P3YvW6STEjdFumK8IMG9Fc9eoAaL2iJfaaZ9ljS8Fu7xFLvgF3PhND5mEsjabJ0AIc9g6XAJ8MEN\n",
       "l8VBDhOgbUSfN3G4wgwH6KX2RUMxPwrR0+wkGC+VvzYaY+oNWSwCOi5ZPA9OgnrlE9AA5FymewQz\n",
       "L64Dc3aSxRmDi3wryRBu1r3WE0H3Y1iPWCGDwHTjuxUHGfh1eJREF6CYqeu21m7sUFMsmt+sYRKE\n",
       "VIq55ilrrDvWFBDHmNbJmFo6WyXmgnAPkm90b0CL4QyiLnrv9Z87z8Ta7Caj44LMBnE2eTGFkQ1P\n",
       "h2K2HiT+fx9JPlkKpOcdn0D8y94Lmg2u0djQzLcjS0X1iATf5ozJXP4CZfMWxouQvPDDa9Ve7s5Y\n",
       "j8bTrxS7mP+wWrDpmx966M0e0L1gqrqD5ZSwJJ+WSALRXMNtqTjIWX4lmpgZ87gGT/OlwiskvTEq\n",
       "LEit35dWMq1MoiJcEOpioEPtyj2TqcR75McM0CDmspHc09TBGzXvHLKSXHLvTwnydkeT2q1A4dbE\n",
       "RNmPz74wVftDcRVN007HWKAZEnKO7JqwTN4jJTtc3yoU0rrD9lbUCthQRB1LcukAE+DcT4tlDIfy\n",
       "LSZmfLQpaUbgDkC9UW6vn1KHUtdFvUlBRJA48XiLZjxpuBjtDAwQQBQoUBseqGIcjykuElbPFMVP\n",
       "wonLdcW/5HIU/q1CTXKvFTJQfGSQkDJWVjig8kqYrEsz38UFGCvPKYn8Dgjz3UaJX6X3/7X4VhLZ\n",
       "hipplRXqhOaduU1KuMcxiYsUbqtkEtFAqG3ZdpCJV1fPNomet7dZBq/AqBBiz3ADyeP/qcZd99Pk\n",
       "AzrtQ0CPrgA/ODvQ2xuTBtRGC1hLl6/VjuImI3o2+sK5U+85ZxY97yZ7U3H/tU+nwAv07X+OF7ZT\n",
       "S2JXNe4wpZf0P+VMGfEAAAFpQZ42RRUsbwFrLq0AC3ANSWHQL8a0RxvT+xT3RNsxXOhPU2E5GGBR\n",
       "EsYaGJVq5gBbFOX7RiI+hUYrKiKW94Uh2KPmISM4cbOp+P7q/MR96KKmSK1kmc94Wdp5cLs+6aOf\n",
       "tvgukj/VCFaq4ZphpaTIU7AAy3NBY7bAXZGW0Wr4gD0cYCJgHJFnzIjnyrhkzqk4jg8ALEna3WQw\n",
       "sK2LLct0yGS/xxTWgPYG7Y8q54ZpIYszbs5WIGC/92Jk3AeAi+OK3n6CCI4m3YWfstZDqMXu8BTx\n",
       "OVaQ9WteB4SrijpL8vleOgpe41yY6OGU9fKQWzMuUZ9blsRt7S/8jgrsyXeTOrtr4KBVWlnSQQwj\n",
       "1Ywxx2OJx5yw4vbCu6PBn4hdDSsuxnaVv3cvfUANiukxDxCiu6Sf7cyGyZc1odjddxEQIu8/0oMC\n",
       "mX40cX3Z0kNHqqYQHM+iQ6hWMWsHOGZ2BugKgvzTRyAD3/SjgAAAAMkBnlV0Rf8BxBzdjRdpYDam\n",
       "IABDsFNmt2lOX8F1AkRcDW7GZT2fYvr1SsfBx3RoKnDynkQxbiqm7r3DDXE5M9pvfxscn6t6T8Yq\n",
       "YAuasum7QRPiELuVidXn3MDqzMGYAiGnTADnUFo13WR1RJ/yzVuL+qfqJHg8Fbm0CXASfJ36YiYW\n",
       "uRYo8I30tbFpy6gRp5jnPlEP1B98JQlmMyyrofgzWVPKhzsrjXmO6gczrbt6ulUsoRLscpe93xEo\n",
       "KVqGS5ZZy6ZvQUF5iHkAAAEvAZ5XakX/AcMgE3S+ABCabKA9CxqYMJA2F0U8an8qow5im0YQFpbB\n",
       "1TNatBWg5olZ1Esyun+ZyJZYIfRJctuoRGMD6mmnuLJh0DteHJwyx60MFT9uqfp9IHP2nSVFA5GZ\n",
       "sgbWA4Jl5q+5+bDojutMhhWedwWeE7rZ3Vr8JlTGMT73m3AqZ1qCI9vgkYlEYuSHM04akpRwRolT\n",
       "IRMDGsjCAUtlI5rE9hCife8g0n600VExJOcaSj7fKG37AFiqSo8yYIapQkAb+9g6BmTdUBg1DKAC\n",
       "XcizX/6k+l8r0fJezNR0zj077Z/ccLNGfbYbZpS45TSjsYuI/0z9NPvuhs+fPd/WyvjFwvqKngNJ\n",
       "k8BfWVQDXSBIILQdmAHru+XC4t/m88NDDYz7IK8GsJxAMBqRAAADvkGaW0moQWyZTAhP//3xABao\n",
       "KHfzabTQdLUrGYAQpfHqF+u4Su6phveEOTOwFAUFZYZTg14U9XM93G8OO94HmNxaUEVhDy0iZK6u\n",
       "/oL42jH/lrGTc3a/1uVf2d6Rek+FZj+35baTlzKym6iW//1hoAjDaPOkdV6tkBOlIGq19GgBWj81\n",
       "Glxm0SMmjvdQjnkWHmL6oieItcM9ciQFhenjuQa+04DVdeZB3wXyUFiBk8gVdmKcVl6wBX7Lg70o\n",
       "F2iFUwP9vlFbW+pbisHB82x1AQ3cygeBQPl5pypnzoZM9rJYiql3hR5gUtWMl8TazfYfuvCkeiKf\n",
       "7zqwgxKvp0JA08XoUd7mUr9hlYbUtQX4LIywx/OlaTBgZ2bvcpTlazS6U4MVTMrQa/iFmYVQ7LKF\n",
       "r00trCCbbvuKaXQFhoXfFOgX7I2bY0MW6vmRSBWcVXrYNPwLcwURpFV9GcE6jH4EXHhET/5RJ02n\n",
       "7B7GB2tx06BXeRGvAdjeTI5nKzk/p507rLTdoODlZuT2GzT3JSSiMwkMWrRuAtxZ3kp8uh5wpS4P\n",
       "TJAJrc0ZCY1DmLa1uFZ50UAQUqM+ew3u55SfSPAESMKpVKem29aRHVOlRmzj+GmJTHfT3v5qpUS3\n",
       "rryP38xaKYL5+E3jSNc6g+ZI9rFFBTBOBOsIx/y6HzU0EryTFh/yGHLoxiTIoCNdampmkVQ0boGU\n",
       "w8g0ObQGZq4JBNIszPM3toseWKNyVh9PpFQv3kfTaPGCuYobKZWd4Jq0wNN8OUid+CL93RNySTkz\n",
       "Jj8tmtJeii83eOk0FKOG99wptAem/MFnaSeA4t+ynyPxl1dUfMs5k5MPh2wV3KrHqpt94X+5qPjB\n",
       "i750NHUvPwDIRQGJXE6kqmPFWqPWMpXeso1KEc5jKF43nGUeyrfCaTTcNZ9BtFmIDkITMLaHMjcc\n",
       "16c9EMHpnuprtBmQYVo9UIbj4qFd8OfBRoDHgT5oGO+3EzgclItvlzxUjMd2ET2TnaIKI3UO2URu\n",
       "7a1xImrvWm+pCLATDgUysdNLqCX5n7XPdsq/Ekg4N37J1iw0AKCbYV46szbPhLsUtkryzqnEMbIu\n",
       "WmXd6DEzuAjEEVvwj4FbFhyj8Iatr7No13vZTx4+Ru+caj8nbQlKmtXZuNpQ0Xexp3667COK6fSV\n",
       "NdQD04CcbOjurUpDHpTrastBmYmbqH2C6OdsgVNepJHIFR+xF+EW0jDed94zTqA+wqAr2FnLFa0G\n",
       "N5PR0oNYdbs13qob2VtsAdaeDDw/0ZZ4JSf1qPgAAAEsQZ55RRUsXwHmbD1cZPo/a828VGAEI4z+\n",
       "MvD4rgMF3J7EnvNpUBOKGlvkq2j9UtuL4zzkly6yKwDZMPOI3T2T5vqlyzz1HcL8eaGlEMYy2qBp\n",
       "8RwhMPFLVNEc4aHiJSNGMRGQ3el3m8xlyhGLYi3V/qEDzZvL+ipnX+nLKWM115qT9ywoMNIBAXz9\n",
       "r67wRkabzdsWn/ZI8y1Adx7rd4nigpkEqauOFMWiq/FI0U4xb3PlDw/Qba9K2ONCO81Tnuln9+9L\n",
       "moDjCGybuX4sOWm9NsVfZYX6Aq+PmApMs2fNanwmr0E20d9jgUdjEvVAGevHFUbnfWPQ+0cu3WrW\n",
       "TuQa+dI7zd9gHxEKXFokGxmSOfBw35zM+WTvN92ipnOmOYN4uglT3pUhd2TxtIMXAAABOgGemmpF\n",
       "/wTVeC4T9pfV5YgA2m0K3cfTIJOHdWI42DzIniz47wLRRKo0cQWv/Wh3lzLA/mwYVxUKGojtXOcK\n",
       "ZT4E4Cg+Cdeam7K0mZo2EO8PBdIQehzp7C7j9P0ChiCeXjWNVKKRfQhp2S+N2g/XwNjlrFZRl3lT\n",
       "8itpR/GSha+pJf04+t4yLjg1X5zrVwYhd9FJYJoEs/ftTFAJpuk2Co6OFR0CzT5Ym/W1+ELMyIrr\n",
       "34oH9IBdbcN5l7rn1H6u3T7qyKAmK+hFmCPkS/DpDCl8TFRJcvPhuBbWGtg+sFWVTTqeDXFTnUbY\n",
       "5KdS/P83DKOuXyi1UZTHXgHwaqNAYnk+XjnDPFAB5tuzbUjFVvdt7SZ6Y7/8dURK0txZT9pUlMQv\n",
       "jU1xiWc5wjzDA37EGKYaxMcpQQvaiDegAAAEnEGan0moQWyZTAhP//3xABauQz2azNAAS9eigu0g\n",
       "y5DU1GU01UbIu0W/EzRuagBkjgGglJvxbcKS/Gl60RPcvbxNTC3mQSBqym+7IiiJ8UGzJILkbzlf\n",
       "02GJePmULmzcW9wZsHMOJiEj7EBrT75JeFyMrukG0lTsoiFRQd/BJ6hIdjc1FHc5o4U2r+YeeGvV\n",
       "UHA3o0v0e3/6JzakTIQio4GQPRxjZF6fiPaDfH2gAM2e3buHEiS9YGYyzavCA1iD9TVFyNGhgnzO\n",
       "oHykes7USEU5bzHOaVw3Dohjg8Z7eDBJ2boymLspGBRzyB9g0Fcrgrom0mr602eib8myw5PtAmuX\n",
       "qMU8xvm/CNvLEVBpisbhlkMKBw1OebGt6kAERJKRRfFJ2i2tPxd8Ozo/BRsCKYRQ2AS35AGfdxde\n",
       "bm1GosGLMPPron7QlOpA8KUwvJzrjTFlB1jGQM0dztXCMxU9wnJNu5d662im6+tKBcWthlvTnxy3\n",
       "pLDEK3zsrlYhhqOZgdSroKwc+9X4cIL6Nk8b1jd3zP2/Fz9tfyhdRkUl31fLKfSB2VmuNuSLQeY7\n",
       "W/HXVdRC71MpYcTAwy3S20ezRouPpVLkkvQoYYy4w2Zcw6xizB+EU5qaG+OtreA852hO1lEF8TiR\n",
       "U5iMDw9Wl6r4cAXgoaGL+V3Hp+hmFrFDyv9h9bCcogkTpouKz1upK2XuEBWUsfW0IYTDSQnDVhOO\n",
       "YIyuHS90S4kc53RHx4p/UXJXL6VraUeBvbVMhxQTBO1IoPd4+Rdk0WljwVKhvnbdkiD5zJjk9jeg\n",
       "LqjO9PW5ewZW1D3hK0HaSuj3JPUnJ4B9tFSD5t7fP4wbMjSMy7Pw8T6j35zz5UYpLYsgq3oZlq5A\n",
       "WFnJiPaleili6NnP0AKYiyXC0ZlNpnLNJYp0JWM3AknOu4NXwKkbqWDQZhHGNHVGe0m+fwixb+8L\n",
       "tyPMj3jlKFNXFq3T4oqYnCo2gYYU9IGza0TdWlynneusUGtYmjTErgY7yB3tnj91k41z/pJV1y8y\n",
       "m9+hQCelV+RcT4sFu/zrCWZUejfr0D10mFKqAGYqeJ0aERBSrF2GZfywTB2/7UK7ClQH6+GDYglG\n",
       "yrxq41+lCAE7/RPQ0SmQpJ19whSBxjqqYoFHhn0G0YIqqilf+AvMzEpdhBDAgc+DrNMcT6b3aSYQ\n",
       "90AXQIlf2Hm/AwcOit7QgaAc425W1vBCLsznXKHCy7bjfJlFz0spuL0puGXMRQY3aDHwp2LoHjZL\n",
       "S/eye7NUyOwPC1kPM8elAfI/K5bpZZKBr3bySo4cACb551PbwOqujVZryufp65oEPukOnKCqPJo7\n",
       "sJLTUGZAdHDHw8YuoQeN9LTL7Eunk0nTeJdV4Q975l7F8k3uQIdEvqPREhd1ZgLlhaLCbvnA2CSm\n",
       "72hkgzOVLV1NHUuNAkexlv7teott5GiA2UPs8e1qgO0ggM8KbAXfit/1wCwv2wrJfKnbDe8dqfjQ\n",
       "+fgSdcZmd4eiwickvGAnAbg1dmVjaccn1XwOl/+TNFMRO2GlSBJr1HAMk23lPDBBkQv/QDcGNg1w\n",
       "VASgFj9uNzKGVbEAAAHCQZ69RRUsbwGF3A6oWshSwoAOOAxqoTVnTCccg7OccE0vJz1ddt1GzqMt\n",
       "SWMxltlLZs6RFxufWRfz6KXIX4h8U375fepEIFWSnGgO6QD4ut8yL8RWb+c7FJBidSNmH6ZB7TJ2\n",
       "NChnf83l9Gzw8Rvhj71nnPxUGK9BgEyomK1U4l730kRB6n3Vr91cCj72hsFfhvjALa17m9eDSsAC\n",
       "wBWvGdG/KVyimoXCJls555mXiCFYrqzSXb5RguV5QkTaDhz47FdpJtDuS49G88qdZOxcY0/vcbv1\n",
       "abqrZO/Y3A5ax0r0fvoHDdbaMo7hvmRs61hiH/wgnOEq3NeA+0wqe4/YkgKD48zHSyRwc22xQmNe\n",
       "y/+OZU826MsUJggLJCS3LtGjVIb0NKmuivTI5W367FPwDBcQJeP894xJr3r/lR1Ucj/9kJN+GCTR\n",
       "WiOYGq2rudD2EMQwSUohmT+uQnDC6cnjdhiMLV9AP1CeZk3qWmIcAQeHzwRv8lxKmM45ypqkRZ0u\n",
       "1bTjRKK+4iDZ2WTlAZdxGvz++5ZQfuPloi6dphNDgdZyU3pRPjxOA+o3vl1Y6+ctxE2CSY8YKN6g\n",
       "39x+Na8Kum+XAAAA7QGe3HRF/wHmuobvLqSHC9wc8QAXqKID5fFLMgOcpj6ejiXSTpuu+/C7rzl3\n",
       "qmPGtumgaHBJG+ZcT/TPWttWcvAI+H2UcZbY0K7slSHcRUrWTrQLtz+C0DFajcxMP56FDc1nUEEG\n",
       "RZUnkGjwrn+hJZr+l6kacD4Nk2XtpJpDFbEytBuJ1BBD/dV8O9A54rLGBMfeMtNxtF0ClBvosyRi\n",
       "gw5TJvhYWpJMFcl8C5eWM2lfzjz+7pS8Nc51mHh/M1IcOnMbmzJtxuyKadxx5GNDN4Om8VHOCkFP\n",
       "DUIpzpiDVxk4EZdxODeWpCit2zQrYAAAAO0Bnt5qRf8BxHWIJQAB2caupq5DIuY/bgp+G6Ok9Yr1\n",
       "cM58cGOOYsL+EutRRomH6myqk8ZTFuXvt1g8B2lgSZr7j24II/gY6HJDmnD5tt9lLO8LhY7oi6cj\n",
       "6yLXZBOZbTZu2tdJSonYn5RBGR50iq4+OlVHllN1cEf6b4jp+9gsAtpPh87NzVYPFmL5D+HpVrz/\n",
       "J9XL6wPyS+peGmzbi8noF9kFCOykmqZtAxOZddfgabWGcpOsOHxz7M/tpR3Pp0F6+EFvamA6w1CJ\n",
       "dfnBqmGe0wNfPQmp1cbYc3bfYpnylMBch3q574//UgOC0nAAAAO6QZrDSahBbJlMCE///fEAFaJR\n",
       "dv4AI1VNQ8w4tPgZqBZRnoaXp2410EuKuwLAWEh8NOqA+DXR7aAVzOj8cARCdY+AvMTOteXagHAA\n",
       "ToFl+IHvdg4kORy1ybFhC0jPc4PTLupBMrME/5A3ErGprAbW614iVG8NoFhoFl5eEA2YvyvVb6Bb\n",
       "o7HDmXlGQGbw1mUkjAtlvxobZhOyJXbW+hPf9N9iigatiyfitcsZxojLJW3fF1c4XU6/APwTJyhZ\n",
       "YdLQiFk80Jjto1fKaqUrnzJxCjvsaR5djTzVzHwbUxbTcxEnHBvIsAsiiMOjRQCs4I08ItS+oKq4\n",
       "mxbJOH4KFuMGq1Et3AuQ+96wJ0jhNgKfL7m7Ge+nZ3e9T6VCA2HNBS0x6TEu42c30MjGAe63/vL7\n",
       "cCpu43NXLf8JSdl9SMwyqwoOhZgxFQU0B6FQD7/coXVM/Mbjkt5xlDRGeAnTUhboyM9Y8dNeDr8/\n",
       "7RH3wHH8U8anui7KV3uqtyh+yyVXpMxlY8vl6z/KzH8h+g/OsAEuxj5FgmFSRifQEeU5JGtlHKas\n",
       "7cEnLexcDVxqxDXAMvrlQkULRJa9Yzc8stHJNhSlIj9LZs8VEHeJSbnGjxLiT5HbaruCoaPVZnl1\n",
       "0fVtO2gkb8eqiwInpLUZBeduOvSwkSRXg8NrwKGjAOrU8tj+yYPAxtxQbpaQWSYV1Tqo6lFprv02\n",
       "98cQJzBXzLfSyzuFJ+z4CorycYi1LlrNFIdF44kvVI8mOC/siHUp35U85N7uuz67J88SeVfsLftw\n",
       "KNSCm4mQ7vKZKVY7lFabb/tZs035V1tC/NHhufyGacY4m8h/mrsAKFxaOt91bfv7zWuNJl4E4cjb\n",
       "D1k8KhKjgCesrNOuyi4zbwNpfHGHqpcXFT19GA8LY9Gs1Tb96/BYIC+7VXFzSZJQHj0GUJOjJVI1\n",
       "j1ESGoKGI8S1StRjrTA/aY89d0QVw4k15TwjgidhEmL4e2WShdYyX/+UM+URnuWqYW7LuHyW1y5f\n",
       "/OBIxBacoE2mAZycOLYtn9b2OBWKkIWBwRPUIecbRy+Wo8J3Ccgfr1b918C3CDSpl43gZN5FsHzK\n",
       "nHq05tjacEWsyazJnA1xlj+PWXFGKupHb2x2f6ak7QGk25+EnzwZaUwps85PLUDefkTKcNaE/0Ai\n",
       "YYiV9xjAqDVsnxhqFAqK8fE6Bc+hcZ4nEno73kG02pd93dLV46S/XQ4QgGAClx3E5BcaeOD+88us\n",
       "rlZUFtHVoq/bvzFKTSoVLuTct5cdIupVAAABokGe4UUVLG8Bcx9RD/UYAAm87GQGW82hhxBYK3+0\n",
       "xerI+bdPD/k+IkA2g/H3AYSme7NJF1hLfsk151P8aX9g26UHCbav4C6fybU49+h334nrTk4qnFA/\n",
       "8c+7giek1rHaAECQjgiAKqO+BJYDLsamuxIzXsqTu3k6g6UAdkIMgJTjs7lEXz924DbUh1gHvLA+\n",
       "OXFFEfhu47Eh2ISoGYCecUr3zMu7Ph3kfx/PBkUKK2InRCPZyhSZ2pNm77D5WmoFUto8F3Mf8ey/\n",
       "EYtB/yWXzJwrkgkIFDqu2xw0DDDVsXBje5CVJaiH0UNkhMfLbjb7uio5OF+otmWNzwugWPctmWBD\n",
       "7pcdO0KALXqKZ1u/RQfCLU+uAOfUuKGEdNZQ0pk+BEx99pU30WNwHmztTXoz8oZMEyfaX9uBG/6u\n",
       "dgXZEA0eQRu1ST/ob6wm718O9FPjvx+5S5Q2gJ1VeNTgWUydN/fIXxBuWCJecZp1A0ErWKGuF4X9\n",
       "PhrVxZ7XcYjOku0QkVWsI/WytlVdZRGaPpDZkY9SEcDvBc4eAq2wdhk3ApX00IAAAAC+AZ8AdEX/\n",
       "Ac8myyGdCS/OjcIAGz1DXnRlUf8UMISxYLsVOnYeyeRO0sXRp4eCjE1Xi+NwIYtTNjmWeNU0RqC3\n",
       "vZsb6l2jjMDlCWVb3NK+v3rlb3v/fHdZZcc6mpDqyjOjb3V7GOik7Ab4gnp7OwqcaxsvOnKDOtKu\n",
       "9N52RtaSXpYDfMfl4VGCjKB7SrXB1cJwmJCp/fBtYVukOck2pQ2x575rA+REe6S86/j92lwQxPUv\n",
       "kDGgpvak1p80J9Cm4QAAASIBnwJqRf8BxspgAIfomr4Tj6R/GYrKD3XRWxsRIdG+lhUq0OTQ4eL2\n",
       "os94tQMg0Ff5DikcIt007Vy4LOIw7HY02OiEKIwWpbpKeiTV07mQPRQh3vHncBDnZVP2AM0XV/Y+\n",
       "ftCOdihbflyKpVmM238go8cxcNI5ku7HQWgSmF6oLW4hiTGSaP0QdyS8ysEKK9KQU5RdZ4p9Guuy\n",
       "QkHEb8gkiXK1sEgVxw7X8swJHj8+WmpFfmEU2m0mJ0b4JjiWsVVrt/3B7wsxRW3h2VHJQHRFFLVZ\n",
       "bMf18qHPsoV5L5ZQl/W/Gn7Z+4BL8nsMfTd2lmk9rx3Te15IdNHFK+YZcUgGiXA0ENMXMcvj0LPG\n",
       "dftXNbewmbWG25Ik+oSzUMBoAcQ03AAAA09BmwZJqEFsmUwIT//98QAU/o2cAIU8t0+5JdLM7Q04\n",
       "xfo0Vz+baYB3tUXF8RxeM5GMsc36tRJJJIfAoK5pKkqOCAVJcY9tgd/NRoYg7BKmIKK/Lijcywcf\n",
       "UMBv9BeIRDrbPQnZH2QF4GC44tvJ6EJoQ5jMdlEIh2FVmVnZ25mRfKxVIJi6JZT2uA5Do+akp74F\n",
       "rGqWmdGZjed9tDRUfzAq9INZe7TQb2XxfXNT7gsh3vRtF6+tMlm26pngpua4GoJIlD5Y7mVPth/k\n",
       "O4bme327OUB6oMirHDI19/3gH/N9pGPJWgpoFhPwZrdjKKpvf33pGcPn6f+EbIw3tprVIOuPf8Kn\n",
       "/r6jO7BBANFMRMqncbwTQYfArRpDUZ5Py7jKE+A2HFqNif88SINh4rU2ANbbMAo8VQqFPlgTj7X0\n",
       "rGjzC21FxbaFebfdHID3pjD3l+0fU1TK+xaKcTa4HCXzbHT48i/pDgz14hPKeC9GUM4uhY276YRk\n",
       "a80p3co/W6x3u5dFvO5RFvlzNro5CFeFOs8AqA8oREy73QmQpzpiEK2J7kXZSjofmbQMBXIEtbsj\n",
       "AWfSY2tn0h/SDnQQPjeS3gRJ8Watiz69yculjnEpsUgsvCAywCh9xIbYP/D10b1NYEckBg2wDfzA\n",
       "HSmZZNqTm44yS+wgjAToooWyVl6BCvPQ/uSkjJFXkLTjTBHrYted6jERGa7s3jfVp8CfuEjmGu4p\n",
       "o4DjvXwLVV6NSHONAiQC1ViwtgO1scUXnXhXy07zJlqVUJ+ewRYOXjyv3/BV+3oMZwBg0ZWXiAyg\n",
       "+ugRwp0XDvZD3wvpfi6UJwEVO3N8g3Zp7Obzs/X6BKLhoPAicIJF8YNvX5kMUMjujQ1GdrESSzV0\n",
       "hKkqjci1a6ajtW/NGPrmH8zwXShgkwnPQEAujR03FePWaXNnOTJJCJOOqDBtht3B4uXjiykIjBCI\n",
       "+RdZTPFBxo0PtQCRxbvp8e+VoU9DmzKQ8D+ZIsQWRbm/7QXt4Ku+3wLd9+7iLXbttg2CEnXii0Xk\n",
       "YrgbFmahxMATMsGCudIuI8smPyFBRM07qID/gOYi4tpSWmz7q9dxmrdCu3wHqSrnuSsan4QzjSlv\n",
       "yGGsA4dBb8uSv+nJLZDwUG/BAAABAkGfJEUVLF8BxWFUoNzQKDlaAEJJSpXLG4q+l6p+8cozoVEC\n",
       "kOg+63ZZQvOM6FHB5ORQL9r4zeYKPVhnAj6we3e7Fq4ZuQdYFJotNXgtCBK0k67U4ruMnkMQ1odB\n",
       "o+REJ2UvTlrIqJobt1UiLgTUIYGuFsfH56jMtPVn+lLOX6/v6OOiqEIgTLv0vsofoqdZo2c+c/b3\n",
       "NS+LYU6QRBez6WHA+wkwz80qRrMc7J8l7Q+/glecIN5zNbM5PE+V6sFzgrQK0VG/EFw50CTcxcfM\n",
       "mqXVAwXc1/+cMmoVFcfaMYnkTBogIP6by3rXvviBlEuH2W8hUXZinrfHmUk6CbSBDK203QAAAOMB\n",
       "n0VqRf8BxspgAIfRVIzICh8ZTMs1j7rmhQgx3NWLpuZsoyP9vd/Nk/c13XT/RTCrnm2D7Xf/w0lt\n",
       "nlNbMWBe3mLnY9AsZ4Ie3nVQfHbS7gZ4GC6N1hhyLf6tt3T8Kb7T2DsMBUR6AIXFl4Jx3vQO8/gj\n",
       "PoCRIHzt9ZnrX3TVU9QtxYXgLrD+zc5twd2W2/DntaRMaLHQ8rcdjd8mJhFgc9EIPtSLW8OxnIZQ\n",
       "ZzHI4I/kbf2ZW1Ay8mSMTzL1BWeTGwpjbxbHhwfVs/cNUg/XkySNQ0xWd3QZtaOZuUH6ka0JOQAA\n",
       "A6tBm0pJqEFsmUwIR//94QAgj/UrLFJwANi4srg84BuIfrJVtqupq5XShySM0j0O45cJ/rL8qZ58\n",
       "5Izjxtnt48AeVHpbrkVBT23QnunBYan5otvc/nOLn8ziIXWy9EQXDQRInqijxhlMSq9n6gVzMHfy\n",
       "24e/pIcNpazT9nkadhZEbQJX/gCtTu204ErUQOvSoD4FdhId60Q40sZ6tbGeh2Q8ShK8JOKzbhcT\n",
       "vmi0jGeoSp1iaq9R1uurMBW74goAtzNXIQNsrGshu+FyFYKFdNaBG1qYrQKAWdGes2/3ah9j4X6c\n",
       "N7Q8gh1WFVWJHmw7Ow6Crnrc+QV8yI7Fc3O8VDlw/cQpgv1TUFqVKVAHtxBN5UHWbbryG9QMREHs\n",
       "hYgyFp0zzCiRJFYymfIuAv/A5xvc0YsFfj8val5k1gS+hfLqvT0mQlPPApf0D5Jy2mVSG9BjTmkY\n",
       "SH3/W54tM/Ks0Cu4knl3Jpj0i+/PofNXt0Zkxa4jlzPS6eep0Hay5YWRjOGrGCNi7rTjaLN7XgbJ\n",
       "6jL68YPpVLcWvP7VGjFwntjAo7iC/3pBQ+nqcmd4fE8JU2apIAc/jRcBp3Q1y+MoyRZRowYYzs5Y\n",
       "D7rKasnUn6yHXQtQwkkoSPsaNYNjtvxTDThZlXTIuv+8xUYMeUb6Qb1knoi4+n1HUoI9ju4dIgQY\n",
       "oCnfSr8i9Til81v8ysKWwRrZMTsRhkeq3yRttxA2z4RHgl2p30VrgnRFU6LGzggB4f496GuhG73r\n",
       "6u74yY5W5ofY3EJBFSYLjBesrUUWuvbZOSyQQGtQGMwlQctmPk50NDbuI3sOO7VEvMVWb3ETpvFB\n",
       "R7w/OKu7DO0AGrZbsqyjXsnuZcHo+8CUZiuUOmMLtWpRJCW/Ob8P27wMEKc4GkMyAoO11nU+3dlz\n",
       "lwj5x/RmdwZm58mAE+gCOfrb47IyMzqAM9sdi1dOwVR6iXnXgyTKE3H1+uSmLQ0WhlCNMZEwubeT\n",
       "0pL8AkUHuBxbu8O4yqJTQF5yeeqJMtpQSldT9E7OYZHpikmwALfY48jU1K9E6Fvyk8/fYEURnvKb\n",
       "pGqkDm2AVE3GWuO/XZ3UzgqA+3WRDWIUIGlpL4ppC5yc8/ed0yxXhKPDV199l6JbBQP1gHyZIyRi\n",
       "GaotrxTvwpKREnQ6xkssqsoXVz4/wpuDU1pLUhjNtd+wZ7/dBAMAA4C3SyciPPzXFJh5R0bU0IFZ\n",
       "7ttkPku7gl5EPulN6vK38CNoQ+jjk9jfYYhLsekAAAGNQZ9oRRUsbwFoce00ACdjgdKdU6rfX5qx\n",
       "PV33/GAQbpqop+W2qf34D/SgrqDvfxtjJ0yO6H4NteKrJ8nDIIw8C914ErTt+uJ70N9k7oyA66RD\n",
       "gMaExabrnukm9hQ/JY1Or98kXXM7PPTLpPK5nPyRk5/DKSMkZv9JEpK1HejIoj63fNKaPTYMHRxv\n",
       "Wl69hV/O+ygqY+/xna/VsqnTM43WT0PuFkxq31z1/vah7vHPqqvYz5IMAt8pM9YvsbpDguoXtgWT\n",
       "2mNYzhlTta8ySF93vsmVv+QR+UnV84Nu8PoAwDMz64nNe7G90zu0yoPZYtE5ytdnZHhbXBdPTnJ8\n",
       "Lz6Oo8uVaj4GT5SLujE1/JOMHI03rPeog3am0RXw4suY1ngTqgtykZ0FVO3MO4HZmu3yQqhWPJKZ\n",
       "EX0ItB0S/soizbcm3wGiaQAz73t7cUflEh5GhMiGCYc7AJIIwtsT9aoj/W1Zc7pbV9JhWTpMU6/V\n",
       "b//zgW9YMpRQ99Vjsq9n2AA1E5BuJodKUYtjQsbMHAAAAOEBn4d0Rf8BxbMITlOgADspDjw9SSBn\n",
       "upqtmG6/3L3QciKathv0F4gC6a+y93jOLqih9umUuyKQlKNgZxmerWnfztXHfuhbi3X7GdF75FmB\n",
       "HEzoLXaCy+sYovemrreqyn4R37mJOQzqXasoMIxnTw9F7zsVaibXnRpg8+q01pdJb+TZAx7I1B/A\n",
       "DIgXMbg5AhWAzvCa0qBG2wLFzEsYwvht61MF8f3CuNypfhEFNgCgPb3HBpeI/PxKo0MFbYjH6v2x\n",
       "5GwlHgLWIXTKDD7l2isRV+SLIJae5Mf8/WXi6MsAyS8AAACyAZ+JakX/AcVnVslzykAA7O/2KqD8\n",
       "e5PqY6E9ZW+HoDlZW2aUhWQpqm3LV/6VjVKrhgJrJbjcRq/VBZ4qNl60xW/S1pAd2g+RkjfVg4sP\n",
       "kC97KSn3o0f9yJffnG+EeaGjNvo9/q4xfAD3gCoSm9PJtQ2kARbL/+/BgS7uT5NSmpJjLhM8yuP6\n",
       "uqJx9GIwWiRQk1ifuzpU3LmbFsm5mrhJ/C/Pa+cpEJcPKzlAPX9kCngw8QAAAbdBm4tJqEFsmUwI\n",
       "R//94QAjm8Epbi5tUMAD+d36nrFv7Pf+kG/VX8DzCaKMpBzePp3rwCXV5DKg5SxYxj8bveEOnGtu\n",
       "3VoEAsDx45W654fNWwiALlvPrb+izAypyGCzqkBD5c05dNB0+/uUf7F9d2+Qi3rSke/7opUlYOoY\n",
       "07TlJOe29jk/zcPwD5AoaMaNJJkP4NHEz0MlH5PKG4C0TyYhepXmjCbG5N1BvyWcSEOtTFU5UL0c\n",
       "7C9H7cGJI9viiw96b3AR4QZ/A5pZs+FFKFvY3LkxTr+AgGhrwI5EXNtnC5OHmjmM4jnfYc95+1eN\n",
       "pZPFt4IK2YzKKPLmUxEzfskahgV0RVxIH4DsOcr/rXfYKPZ+HvuFHBlkPhEgu4lb/TCtswyRCeq7\n",
       "+vkNpC3uk1R/El+iAPsKZ6c2zA/mvjo3tP1/zzpTkKVpVX3+Phd0Ya8nDR+yR+/8mETiXWUcBYk2\n",
       "s48+010egiusa6CiwDGXf3XQMPJBjelz7lAnv9ZyS/10Wy6i2B/B5m7fskf4vQU3yRx5FqAt1UTV\n",
       "iuWiTEt/ueXOtgmivCJPy5sjtJwg69D9rDu8PK+AAAADgUGbr0nhClJlMCP//IQAipGQC7FOYAHO\n",
       "F6TBix67tf0+fbzwQgn/nHI8gjt0LRgZmjD++8PC3dNag4Ge+yoGpXgNRbtrTnk4SGmaGdENwgVt\n",
       "kMSVGAQX5b25eZ576GoqjM02wCKjJtQKqhJtXeyHpNRLIjE0H+ZXqq8NrY4uyRDvbUGeMhu4gLXT\n",
       "rBtlCviNC4dK0oBzzijIjzU+xfljLlFn0YF7zej9B/LbCTML/E1L/+sXsVwIs5NJDZ2NmM8MktU6\n",
       "VlmiJoR7tLpnRK+vBd0um3tewqSzbpoAyIyk+qAMflvsqjG8qfQfhFZnF24LFjuqlFCGkPCkvEMd\n",
       "dYH9YfCsge+4bykQNHUOkdqNCJSO5fmQmCgC4iMtH5sbVqnc1f/w62EhCeMHrgkimzQDDDaMSjM/\n",
       "8zlHZ3iYvuWsWjPFptDSp2oIIwWchXM8UlLmq7gh2xFqfBdoSYsMqSNPO6mvMa93+wrgxJL9oOu4\n",
       "spX14ahGHk2hfZIIV5rMsQjI0M8in0uKM0/M3DHLRM0rYntMhbrzJzb2kWI7+eeoCUdxCCWfVRFK\n",
       "SEgVnzY2svbFP6debXFnH/hbVJ01XQDJl7QMX6G3r0Fuxxb5LNFr5qLLYccrYkdWX4MlMa4xOpTw\n",
       "6ugK0enjt0Mhb5B3tfoClpQHrwNYiEuUoR3T0Ej8HnDVUYZhfPwxjC9o5yFX6WxeIe1+ELdR2fHE\n",
       "a1i33pFvwaLfouFRIF3SVm25pt1+AllPDqHiO7mV7SV2kZP2Oo+0fkU+PrXig67cFG3IqPmkjWmX\n",
       "7Abfw0SiLKXaVvOyIFJUtglab5iqneOSagNSrUC1g1RHo3kbSDLx69HW37AohoJIkBEnDR46tSmc\n",
       "UOYwUeMl2d+UBQ2jLQqvaZbjNY5bcR+1xAZdP4VXd/GRqtRHlhJ/1T+nm9yyabnitwWWG6ad7Ghr\n",
       "FtoZBCnfN03uIQWv2YvUF67x/m0atxOQ3xh436xnu9dNdYI3VCBdR/NIb3d6GYON6l64JfTpawjI\n",
       "I9dpyYLy+u57RvqHf8TqZs1uVhlsbzYholmlTGieKmevtb4dCub8frGYFuOVEyCsvDQNRgdb1Gvx\n",
       "RaBjcu32m3QUR83T+P+4iwCzDzcBRXo4rE3/BXnKKP4wCslbGZS+qeW5DXDJcTF9A+QZMcw5fdX7\n",
       "yXsFB4joKPXmSqGwufV3KQXBgAAAAUpBn81FNExvAYXcDqhV1bpmHRRQAZDfelVTp6caPSAd10rS\n",
       "fxgeJi20qZ6EECCRSbSOyopXbWxTq5H6m1qRDojnLuUm/OBCzZAtgAGhTI6uYH0c8AmiECXVd3uJ\n",
       "jkFqPqu80c2OWVfd1bViI4ZimTGzHtiioKdyrI2Pc+vSTeRrEndhylfutQ4bn795fvoDoaumL/b5\n",
       "LwsAmqyDy7CNskWTP5lEN0ALal2pmRXXlSBsNG4ukSzKbu8xkFTOmGg8mLE0nWNpdNs59aZ3ZvmK\n",
       "j3tmQxO/fCLh4hQAoXNNIS+6aMmz1z4Jh+i0UqrV1Q66ceeNzGhxhXUIEsZvRY4C4ygs/zFjpFfE\n",
       "bmgwQ+Rrd5E98zFq9FJoPflor9CqNdQ79/TJt4nTI4KoG7a2q8DuZ1Kgn9QeEmt6ntr6re6JMeNp\n",
       "MZ+eJnYaHziu/oEAAADsAZ/sdEX/Aea6hu8u1G7uCMaIAOI5KKPzkZXMko+N0b/vEguk1q228tlS\n",
       "knejFhc50CLAna3BUTvMTGy3UqXZ8hRVnGUlXP/zvk0VFQffP0zflsSpZ8zbXj21ieVR5fKA16/R\n",
       "L5HBjwuGSbNOoATEkQTqlvtqF6H125sWQtBCP6snqwtp0BIYNqpAUPaj7UnRfnjpdpqHhjLOqALT\n",
       "K2ZNLFHGDjNehADdbPCmD9iWB/gkaioRUh4NnUdjfmVbRdo1nm/yOuURAos6sJoRIXgT+geE8yRa\n",
       "9hQp5MoRmrgXGdMyINqulL50D7n0SUEAAAC2AZ/uakX/AcRneHV3py4IgADs9RPfLNPEiJ3sZQrH\n",
       "1yKaWCfninZGbqWwVbeLr6ksa38yZDIZDOE/ReaW91hoJ2RRlDba452waMvliH/PJ2iWwsvI79f0\n",
       "C/qDqZLcwI+NaiABw2uUKNF6X+thWhSwqcXvaQQTjaeZcdZtGj0TbLmlfIVxzwrEY6+LZvJLFQD2\n",
       "KkLZsl2qf0cgAIw61yk1adkCVZxRJ9p51PnehSwEQGtTNOBJPWsAAAJaQZvwSahBaJlMCP/8hACD\n",
       "GzE88AOioh4WEf+IPN9ePkyZWWmrcMM81jvVCLX808HIcKSvzV9C5aB+ycI6oV7HS6ShJIrEhNVy\n",
       "UfkjSEtB+TjaUCS+fGiYjRrGx2m1ml8F2DTXKpKnBCIzKgBSGb+auxV6qxj/fzGAxxiBUGBEWVnc\n",
       "MFZK02tGGNP8bUsVIkNKJLawNUqK39hchveMFWJHQYTy+ZKanLpfcUSnwhzyr7EK2c4RChze4HsL\n",
       "tbkIc1ZkZzSFA0DZvMfBFIl0nxKi+EWJKVEUeJuBn8GOB+Sr1o9soRQIAouIaK3aSlqxB/dgtzAq\n",
       "a7dwBPNcaY/zEu1Vb3qLRLWAv5DNH5LjCJ3bF5rw2bF2o9cpF9xEpTe8wC0sMOlAcz3YJXNp15Px\n",
       "SNlMBSPNePAAKT26ysWxwsBoruQeyObk7xblk9zo9GNXvbloPtmBnbogXJy+7nfw2v3WjDMLRaA8\n",
       "xkg7WZ6OiB08HCW4XyYywXlOzokToYQdShnrriql2MrkYT+VHU0e0k7DaLLyDi9j2Zg/cifjXxbX\n",
       "PR67aTkG9ZLTYZ88yIg66qwOnOfsf1nihQgJ8by88j8RqbQC/TGK2pw2HWkUUN9w5blPmNrtUsjr\n",
       "mAATsKBwJi3vnyF9hAIJ5RXRzakh4napSNT9AvDrHmv7Q08iGOBAjquWn7WERfB1gmgjaA3By5Nr\n",
       "tr+o1Jl612s2BOhYEz1eN3tRt6xWpHfwCJv82A0ACepkYJbL/E3SIgiEvsCpzw+yntU0vxn9hOdC\n",
       "0z4Gbyhngrdk6DzbzTdJm4AAAAG+QZoRSeEKUmUwIR/94QAfroyAAXWi2YoAx2rhPCj3eoSaDKS3\n",
       "IdSErudTWKNcFvRWgyfLIWzcePjpffNy0ueA2bwoMkcrPJW7DCEyD2MCMVu6hmsGiawSPoZrVXMp\n",
       "gaOWVr3xp3o+mnNWrgXa2HXwQUMEfPjOrX1Jqb/AYO3pwGTYsE4GStXux+A1xzfFrzUYf76dxvwi\n",
       "dcr2GXzUtHhw50Wl9BUDj1PhvNpAzfSOB6R1vj2JqID1++sFRCaaOhjaeucTahNQr0xgLoFpQ6JS\n",
       "GEzFmPECaVubcPuAF+yaIdMlMUoloEjOHH7mI2s9GJ4q9exN+caDhm0Oi5qbMwvHyAXtrgWZ2A/4\n",
       "Z2zZ27XxiY7e8ySFKc3NnydT6G4/1X980JzssXlAgE+SerefaqBmC4O9wneOyckTnO5FimJ8XpoK\n",
       "6Q5hCk/CNZo2iyegEnGZMwwnWunJbmXwNbvlx3BcWXyGkDK43ovAB5BBO11KKNcLvLeog+2MvJoq\n",
       "P59yMpmdURSvZDQnvEcL6uTfWeVDr9PW8jvE4mR8MS0LZ4mQnFAesFh46HNvb0hbW6G27kiPPQcC\n",
       "1qXb7ezghLT2GUAAAAIVQZoySeEOiZTAhH/94QAgoI4ABNWRCwZX164WrCBryBuN9IHTNG1Ad0O9\n",
       "+hyDAQmCWz2i1ExEf6wA6yON+FtBOgI6dEqR4drO7pPCi9NGfxmlw4AvCUT8wXgHzgaHBZzM0bqH\n",
       "LWMU21fDrElqYdIdrCwsX1D7zMKiVeU0uA1pJYgsxuLn6dWVmtUXA5sc1K4R7wM8gRkqrLotLafN\n",
       "76OmEOd18S1Y2GpCgQ+27NVqdf4iUSMDdwHEW8qBfN0yeRYFqo0uwNV1gCSWkPiTyd3PDs1c30gB\n",
       "LzVBOZ2M+qLGuBaAV9ekECl9ZzCXwqt2aM17BBiAK7hpENIoq3qbxzdySxGG4lttKmwnM+cNoZdJ\n",
       "eSHizOIpoCM+KOnVcjMpAWUG790Ju8CWHvxwW5hXfQxo5+Lq246Y9V4NXDOC541OcyUDLpHaMj+j\n",
       "0WbhWj34dZ0KBIiyIL7lHt7A1JULjJGYW+OlIa+u+9Hg3cB7XngmigIvijDpQpscxrjrLYyHc1kj\n",
       "xOMU1MS/duq55+6LYePAoRXQxv02nvAR9TScssBzfxVpd6IHpHyz2SoBJPkSvqF5uEhz5vqYq1UA\n",
       "anzkaRpw2FGeZGz6HBYI+IioEc2cy1wMRhlVQRKEC3fNzvn7/g7Fz1Ta3zMWtdDY63xb+kPUUdr6\n",
       "Sa1zxCcaCWdldiHCLSGTURxeBNduSU7lXbfWRbmWzd53wYMAAAJRQZpUSeEPJlMFETwj//3hACCP\n",
       "+KcToAIg6S/3bkUtm7rCDIu1CL1BX7XTeq6ByRuzhTMCwXrPjS6i0GEd3rdinS/EI036NUSoFrNC\n",
       "MtvpYg0p9dvUJ4uBmxE4mNPIRrifhJN2dUC+qlXpNRBj6istuN9opMFadZRFkYmDwzGr7fjrw5zO\n",
       "y2RPMhpMndYl4Idg9TzwFbOiJ768M6s0L3zNRnmk+Q5qFvmSrt4l3qAk7T/T+9sAQwD4ZdXchn3t\n",
       "WghdJOTkJnlC5HbdAvCRAPXvHYLixxk7QTjJHQJSahKYFb2SZOyu0USyNihwb6aXgFw/lTfq67Ts\n",
       "1Nz4jHH5U39TReNhwoSsjFvyr/mQsW1A53kIC2iHhPAucMuIdaQEdlxtGJdBIxvH+7IlWhe3+7Zu\n",
       "FR4CQFSmql6lQ+obygCUo+RFbrOCA5XOouc5BHwsTbyo5m/Wz6m9cdtS0wndutaRVgrS6xL/VlUk\n",
       "sOq7OwZafjlU6umUyOOy/ac9EhLHv+OqiDxW97eiiLjUrCUIxJIBlGOmMhcehtYqSrBicn782XCH\n",
       "cP9zlnRx6n3kjkVjm3mcPTPU3jsxfuPxqR0DVs9PdqS0dPi1Rhkv+578WT8EBocqfm026xt3DUSd\n",
       "XeEVHvYDWZqraWdrAOw3s8TOdzbDZVJ7uTG5nYSibjhHkf0MrPYHDogtfUekO47pFSphZSCE4vuk\n",
       "r+XDZvUPtfmh/dWBr0SrOfid0sUQ6jVOfKqretdKC/OGvAOH0um9Lwi5lYNmur1Jo8S9feFswB/i\n",
       "PG/MuZ8AAADLAZ5zakX/AeU4jcW5KmUB/OJKc8dEAIO4qEAwhCLOUm8/KY/0ZewK041J89p9/NrN\n",
       "uF1qyp1dr/pCd0pT7IOJh5xH9aA9OD7sxVTnWXQ2Mv7ZxaAUEWp5UT3eqy6S8MvnXeHcUy+Owb3N\n",
       "K9at3GuKXJK45M+q0ivlFhul88qtOuC+YFthT2V4QZyNEZycn2EakVemrqvQP7NGsdWYEVOQn1ei\n",
       "PtGu5m+8/iuFgH87TcxuRc0QQUvJ/c8uVFYQRGOnnGUtetJvBdqtCEkAAAKSQZp2SeEPJlMFPH/8\n",
       "hAB/BTaQBkAKyoL13e8dhoSKBKISyCCkoeDpK1PHZZ+a7UppRtcd/MPovoSByRWDCkpG1zLJtsbn\n",
       "Zg9gwhMkkIcj87O+sRrpunuLc8LJHDeX66PGGt7M+5uD8mMLvrrQtR7k4kmXmgmRawJ7wuZXxImB\n",
       "bSQucwgHoNJA93c5d2jbn1DWZKLmdMWYywAQ+UsLVBLNoiYhbjtlh93tMGsy4iPYrwOaTb2AQMH9\n",
       "egIUFduxn+g3IHGNvBBTonaZTY6J+nm6DgK+xd8PTf6DwuDsrq7JBWakWb9m0xlkqWje18Cn3g70\n",
       "IzMfiI8Lm8WufVeQsQimpleI3poqjcd2yKAqD+lZPoo8DqNhY+3OXNg2cPdM2pXjdyOlFF9AeNAH\n",
       "b5PR+nXH5J9WnEgeVju4dpgbAau7MGU0e9AVX6L2ZO9d7E6/EHh6Kz90uckghCKp2/CzX1odjX/y\n",
       "Y89xEMfrva5HyqfZWsGPXaqvp89LHp0EeflEtBDkAMvAnL1AJXUHD4bOdMvylusQq8Qv402RhmbE\n",
       "PAJaw6njBMgmS5es2NH5DSTRPd6NHkN5BUdgyDrz4If+fYxApuSvetwou3NpGMWqv7nLg6cAM7vy\n",
       "JFh6ssVtNEPDUneS62u2QVqQGQDJ5o1BpJ0cGKpL8626la2Gcnq+11ku0CsDgGr6FYdBZAIWCIGA\n",
       "AAAOPjZBWt8kLTykUhHofXg0jdIDHWrGvLBrplxHgtmGeCGjLHsFWJG219AVnnGNUZKwKXJdGfYF\n",
       "EO0WP94lq4plNxMzkBUSnuGam6mk5+del2fqKnavtAdvdXVHeEnAAQ/wjjRMhXId9XFDwTrqE++D\n",
       "vQqXS4MnbGr03CM4TWLNalUdcQAAALoBnpVqRf8BxgvtEz/GSUlBnAAc6LXXnNXA3Uwr/mNZDdOr\n",
       "LwGnEy1l2veCm/aTR3Ki7JGunmrzZMcxpdB6JvpeVAXD3i147vr3Qb7TuxCVhHZBURddcPYXQvOt\n",
       "Ke8gLWeqzdnKTH0NYq72CvQp0VPp3du+QJqYKHEky3qWvDWKLjJzHUNkp4C4jEXbj5qDsU6sFEa+\n",
       "tUMR4epNAoXk9O4klKyPR9A3pbJxPOwMnXvwUW4eo5+QIZgegWAAAAGMQZqXSeEPJlMCEf/94QAf\n",
       "vQ4eQABRpZxjxPqsojOZKodYowrPIFSiLS92rDxKBiSFcay0j/rTY4UEe0UKc6DyVkKgXqMnZeOi\n",
       "/Wd6e3dYcrxSvDD3Scll38w2iWP5AKB/TDm1oM5QOfakqlDmgjou1XjeE/Xips+v/KacPGZZeQYA\n",
       "XN6zUfBnt4wdK/4jgujiialFcuwkJKs0HxJZ1JGn0HNME7+T9WIUmujG7fgrlXdCjCozeAHDJSQZ\n",
       "dGek8z3wW6gX+cmVPZP/3HJ99J9S3Y6mhh7Gixn9HCBA0s9pYy2tKLbuQnFTger3fxMFkSQOwZIF\n",
       "9jbzLKeFOqYqrXMqjotTTEieGxv5jHYSXWCB3dp4w2he/FdMYL/zBi3Az+sfELKkbAhfa6HqCBeS\n",
       "9/JsZAaBdOkTh1p5udKn6fX1VDwHP4Hr4ZnWJVillpcblY47CpPtO6yp3OdVowFElDEkfKrCalmy\n",
       "FNUYy093UlHlmX4rC/IDuKx/b5nPUGJHiph7OaywV21sZnOSps2VAAAB4EGauEnhDyZTAhH//eEA\n",
       "IJBe7tyqtwAAJ27bR4OQbB0VYxs/MFmUlEKpkjMpuaNwwS6MGBZLKFg4iqc0FPyld2u3dNvTnCHo\n",
       "zKzEjwsjBg+LsKgksRE3YZNEExlNwlraUyW4hr8uNCKvylNgtHelIrqqEPNb2YgjcAaxU3HzpKBG\n",
       "Lzr7o3H7zJ3T8kEuasVswSaudhXnA3oHP8rpri70QHOcRaem68+VHFp/eUQ1FHgJXFsd622DnD6Z\n",
       "bDVjHPwHQ1TxKm3o7TVTV0AheoDAdGgF1TCxylP8FNHmz0rIxks+ey/a0Fbhr3K4uoYSZXmz5Diz\n",
       "NUtkHD4Jha19kdLeO2FKx8AMQ7qav8VBWQMtCuySzIhfYndZb7Q6aFQl5mrNBRFdVvBc5A+w7MnT\n",
       "xMFUIcxbzmehinYCydHlyGh8fM08e0rXBtAn4ZNpkCWr5BvMVoNH+t2OrhrBNfZqnVMmcH8LIqpK\n",
       "/l2Dkn8FA04tmIR5+nlz1C+veSF6CmAMl13C1iU0dOWoh1Yk3u4GD3y+xQu0eAvQGSBXoCyTf3xs\n",
       "E+GmsqGYGJNvcGvk7ltt3XJV3520XyzX7nhFCgpuWaGssfQw+DrZS6kO/mS2z+W5Vo9TA1SOJkGR\n",
       "qpUV9FOZ/gGiVQAAAhRBmtpJ4Q8mUwURPH/8hAB+ctcZW6ZgBMrosW21/DU4/p/6i3bXEPQWvd4+\n",
       "/Txs8Ou2Er8r4wpDI3xc38/aixYkBere4ylkupw3PpA1P0fwKkv1Ha2taCloFCS36la4hZ6P1N8N\n",
       "UJEm2xm2nFjSt3IgZrHqh6MRLbvCoVE2JgBXLnEZOQ4wwFc0Gkw3/7EcdIp2gOClvtZYmrYk9uUf\n",
       "YMK1Vi4yGzZiiYgqyFDxFvqmIp6Uri4PnfjqEcNNYZVMP/3NfnVxPxWamRgi/ckZtvncU9mP2jG1\n",
       "CF/obpmSxmOobM2sOm52ldLd0LrRJX11WlIuP9GO1FuvTdDBDyHnMzTSPisNk5ElYcxTGZXSRMnJ\n",
       "Fjtk8DXMJF0v+svWKomPJSIQu9JpDSltwhBGzjwSwVBcIdj1bin2/Ypdcy8PHOBG8avUUwsoU+T8\n",
       "HMRDrGfGfTE10+ausHnXtRn01E/17l4uBjA8U3af3cNrJmCQkSJLgBDTSBMGyh6+01YKG86SZqmI\n",
       "BQOaoobD9aUuUQA80U1xnyOdyZZXKvx7K/YhLnDNUonbsnMMujF4xCq+HpeFUwP+tHKm3t7D/QD+\n",
       "kDOwdL2V88rDFw1e73DOZndt1N85QM2cc3liceZNKLj3NpJG8kK3a7S0Ht5lRy91gW8cYvHNeAAA\n",
       "tRHpGlLdNh4x4F4LnKSa0T3MzdnrLey+z7TUH9NoeBVAAAAAqQGe+WpF/wHFaO+VIvgAvlynGZqF\n",
       "xAGNsslGBNnFQjfnYO5fZEVkY8uaoPLnX9rmPAuYtR2E7g18jsxBljcnDOuifXUzmvJCr4hzK8P6\n",
       "pmPOpsuzQKW+qJ4DkGjuiIptcBLQdkHKtPotuImKjLOtp0433TWvU2YgyhmlRWmRDoLHPizl55Fy\n",
       "rxml00Rj8Zg3oIV9u3whVdIiojsu7RcX7fC2+nSJHVhA6UsAAAGSQZr7SeEPJlMCEf/94QAjm8Ep\n",
       "bi5tUMAD+d37bk6jKbpCiRbIisib2lFBSU9eEoW2tF3QNX6UvabR8f8BzZyr1kB7MoZwAbS7Pmjg\n",
       "u16iDzTFb+cwn5Q+oWm5i5bNm8RA7ddY2zQX/ZsROMm8C6XLvmbp8kkCELxnsvWAPCZ6xI+2bCtf\n",
       "Yu+4uKXHSk06NAkY5x74UUA4ZxFFEKAATVspkMABkQnyM6WOstUKOg6j8GtgJTBB0DJ3Mejo9/HF\n",
       "SQ2Thbj1CISowNVMXPO91z7YSG0MQmBcdUMpxD1oOzM/OmxPDth7Fa72I9s0uufQDEF3kVoJMrtC\n",
       "0BNUjb8wENFH7nvuGttW/vOlL5GN4wu5tmZnTqQQVVWaV09BgQUBZsnF4sHIBND1ngDVGslXJ+TY\n",
       "rYkzrkMN0CFTIzyVO65fVACBtL+TAwv9cH8aXj0Lzh6DHDM37DLqvr4MaSdytUqOfTJpFwErpUsc\n",
       "9VwG7K04RG4YwEfTsPBJalAgHqhYFLEQ4RwJ1DD+st/M7dur4qK4heZgAAABtkGbHEnhDyZTAhH/\n",
       "/eEAH66MgAF1pJ6KEvkyT3vby+npBX0QCnFicNFFbA46ylJMzsEcBbeI+7p+IWwNMUob6aQzgzd6\n",
       "l5a9dAF+wuKmzUBCaAgcQwr9ipI+kmAt8ojOUrnyrnOhkeZ7l/Ht3QrmdKU4/l0lianviIbS6Jo/\n",
       "uRzuFyFusHyt7ZvT8xxZcQsAORISvOqWf2avxUXLTxaJV0tdJKiAjZ7L7D5uASUEHAkxVlOPAzae\n",
       "DaIHr0fM31K3z+fIcYkre+VqujRQN7FIYXOJtrxoDzByWhQoBsYmGybI+cpkk3E6+ytmLGae+Gkd\n",
       "9ZtClTw9nNOhMfz/K3RMzaxzK8aO4aPRLSuJDr25QgDklkQ004otXee0xOabhPyqufbezT/xJSuV\n",
       "E0XvuGq1uETfTwdGVcbASrlu2+x2+SI05k0vLwSCetGkQsUV9WIlbHd0Ly0j/ce1cTiCTLy9tB2U\n",
       "l2YdHnUx3prZxGPTOeSObiPZ9AKuK7EiyWcznVCNLTQekGaMwmKn5ormdkig5OIZeaMJnXdCLOPU\n",
       "ZgYhBIyG5W4TfncB2LEiuV3uyZmARV4tPNN3wQAAAo5Bmz9J4Q8mUwI///yEAIqcRJZ2VjIAH855\n",
       "qirlTqAmOSoots8xX0oA49I/qnRAbfVMIDzRNuA5I4lrkLqy+MvAgbSL4yWZnrKHo+5OT+USu+8M\n",
       "7NO4HjAUyuvmwkAp8jY/ythfwyoj+/e/QLU+llCxZHsKgFU4L/HTwyN0ajVkswA5CH+jRA9pXpHz\n",
       "vaysdcr23/0Lza0vGDmS0VxDEWMCqc3cd0UTSbx2F523+x9NIZrD19TXi38cTNC9565Z6d7KLY1y\n",
       "q0DbHXiUcuvI5Fxoc7pILdKUHu5WJ0K5yVkOmC3QjyoTa/y5S2oGCvhxNYdrUXhknHtd+bLD1OW4\n",
       "+tLRB/3Ettfd613X8+uq7dpE9yawt72fmRDuqq9e5tsejkGrB/aDbFXGufNS+Ghe8ayiJbSQWvgD\n",
       "V9ndFRyGfQvviMHPknylJjoYSjKvDtV52Ek96owoROVT0d3a5rokylVdUZjhvm3JoBJHBVONNUjc\n",
       "a+saHBxCZpQ70nS02/jp4RYoLwME0AbgGugZYooI+69+xe27dR4KmWTJshKbVZSO9odRSgKRXCM4\n",
       "wv58RNd4IRFszDYMbT1m+9R0UgCLZ5GVfzvKoCfvZNERBKGlloJM7m6QYLHujBCqmARqpmWSTR1b\n",
       "MIZ+23cXCne8zWvmuJ0bDDVhdx6c9OAiOgSBZyoc14YWt7h+rVK3qXN9cg3lVsmLcBkYPzOOLA1d\n",
       "jW2z8XtqC44vlvzdj9+jFp5d6cIjk2L1fkiozvRXaOVscj6jWL89BBFeRn2qnSsbTwoKpZooU9sO\n",
       "o0PPbM1/xSVPTXxy1t7/mbnVy4zer93050MfZwugO4kW3OO3dHAUx/yu+IoBrvQ7LxJ/V1TXfN25\n",
       "4YEAAADxQZ9dRRE8XwHledSTXfYltgAQsHVmqJGdL5Yy7MmoIOb5hNRiDatBkd8uDg4AJ6J/wZfA\n",
       "0XJWIZX2GYxuZy70MB3Bj3aj7oDEa9CXgm88kgPREFwkZUJU01VIrmrd5Q6Rt6JODSdEp6bmFk8F\n",
       "wIEDqRbWFzpO1mnxmvr21FcocEv7GLx3BFQNJyzrd+QKoRILIsAltOJRAnY8tLUsRmK2x2Gdojq4\n",
       "QQx6jluNYS3T/FtqAaXa4auBrV8ypG4q5QV3+CoLfJGrVycpjz1ASFPwoxk2F4YGPe0VfKmP7AnR\n",
       "4h68Haz/S/ZQ7CP63amlIe5GgAAAAMABn35qRf8BxHEw2IZEgAhtadiGUi4+ERzMCXc1g724NqXh\n",
       "T5kCrtTX6v1csg+J/RT6hUCjcRBphmzEl1hNN1EoSY2uH9tsDi9bGtLmRHQkvfz0i9EUmXR7O53R\n",
       "ghtnnmi6pnUS424Y0YQMcH3QF4geHNn7JmhEZMMyZKrGYgNgr7qzEObLOPTzn29MXsI3nHcWXfgI\n",
       "pxiCtpdxuQetxWAePVYk/shkgcvx9A9BguZGKYzwwNyOYAzKqBUaywk1V0gAAAHjQZtgSahBaJlM\n",
       "CP/8hACDGg3McAB+H4AcsRX7SHKVvp4//f/qEabXXBQeeCKclH0yrquVn95XhZ03GvNDO33eU0xP\n",
       "B/YdJYryTyR4bx71PqAfsS6zy+ykD6Pcrqo9R4EHp5VJKsoUW3XJFlitnT87V9s4XN2As26ZniWL\n",
       "Xnb8acnWuM8GL3Y/cXJHbskMY6eR4HdXk4ljbJ7yfB+osJAve8XlkHHBergm2U7tTNnnEEkrwm+p\n",
       "z//QFf/+OWYeR40TKaciG7Q1v1zBSzfZqMHOjCmYZtqc9X5D5fQcgBZRhPeGdgTzdmpNE7TnL6rc\n",
       "TgPt7gzIKSXCqv3Cq1hcFvW7Srv/mk8gUkGULflGIwu+4yL/s4L0APfjcmRQKGDTZyLkiCBlO85u\n",
       "o+RS/wSOlUKFvJUNS1Owl32FeqAncOUUABi9zszF+vw95sxk2vVeHjl3akHWB/0n+yxY5tOZw8uE\n",
       "xiReL6w8uOTfgz6bJe8fCnDl3qdwaJ0KUAy1VvyMokriiJNzAPcNi9DDnzBm6k9drpD+UAcStp3J\n",
       "LFRpRvzTmVbsOT5O3VbBi88SdfNHUtNj+cna8GAbvlggNp6Ovc0uBZ+WKm72IgkX2WmfGdXg73RZ\n",
       "w8fOEZhlqAf06D/4MUepqQnBAAABckGbgUnhClJlMCP//IQAe/GDAAqL5U3qi0dj/QNO2t4jspPw\n",
       "YXadR2BvTAoiI184qoviRYItSxGMhYsDD+md1li45J3hOtjLwofq+sd9RsXz0WnUeCUed5G36ZIE\n",
       "/ybJkaEtHzNtPKg/pFLKN+VJucVC10UMgf4f09s8BatO637eAKJdZHP/0zULrg+fdnuRrAqtMv2j\n",
       "tigYh/7m1XTAgwEqPGFGPK0quYM/ZaPeWnnnSF3xo3FpkyFIQdd/5DdttYFOSYJZNjRAlJ53PYkO\n",
       "joGpjTVm/9h9qrdsi7FSpeFd6Nr/VjiJZZhVgRTfL+NrsmuAawHnAofXu0B/gFLKh/yTjepwSWgf\n",
       "YBvdT7Uc8VXEBpa8MrQMh2+Y8ZNBA6bpnc0R1jBY8dBhkl/Ozb0/NCVxAI6Xh+I+dFgSCq1DqncX\n",
       "TVv1YiBtjh32eSaFoqUs4w+M+1ryiXJQR6M3e9XX/q925vFtFskfmVsx7muMHfbaCBgAAAHlQZuj\n",
       "SeEOiZTBTRMX//pYAQ+PJ1blJxYwlJLXwQAbTFFo2Z7F/zWstVbZ1oBJrSXHE/8+VSs/WoSflWDm\n",
       "RY1d97j8i2odVYefB3jiC8e8ez4/3+TRZcSp3kSpTkMogj7fueYhjmt9REuB1TiK6CuqrgLOq9+y\n",
       "qcLLBm3H/vwQBfVi+Hw2yuUxutKZko6A/5EW1+O6Tvytdf/wHTAx6nqke7LDXSAXBjQCGBWse0IB\n",
       "6oE2I17vZMwKs4kASPYg7ScyjeJ0UMP5ITm2kzQUYWhRGf4YUcK8I1E5vaf5e3OhuwlGUhgPTzlz\n",
       "Fr2mQuY1ZupBLUrpaMtU/Jk3DN1WqA/xdcJMjl9FQ8yrv1bGXx/I9RQudw9W63fe1EtXX5nDeLUc\n",
       "DC1k7qvGi74Q9s/QcCqpFWx1ej58t0II7mAdB0TZo5chW8HDRWqRwVtCLbtGRnu/4Dmt+cF4U4Oc\n",
       "QzgukyQOy7lRkuROdTBXU/RcqF+hofICJuHFuo8SfHJ1XPFev+HMDjux0wAG4mTVmQwkvPCfqeQs\n",
       "4zA5lsYUHTrTZR+AAX1ufsaZtXpF/LTjX3BkLrXTGUPiQRFlH/TpcvtUhT2ohJJywJcSiSuChcLe\n",
       "zmrmnWnn7p5sMVTPVhwgpodvSl+c9yNCn8EAAAEBAZ/CakX/AeZsPUXWOrwAhCQv64XDCLa+AQga\n",
       "M82YN+t3NXwwWrhPWZo8zCT8/F5kb1/26kYxaUoGxJSM30ncod+SfH/CBxVNcs+TwuvWHXwygv3e\n",
       "edWVQe8UkrSB6o29s3broHWjiwNCsVLxUKkrPvgd5u0hOWy3tL429bvGqKLj4gvmx5gNmjPoR6Bk\n",
       "b3Qq1LS+jEVZwrnODgNOxLsghhxAIvxCZlzYMHqvHFkx5nnpU3IDT/1ALbp6vwBwxjY+HMdfChRV\n",
       "pAnYDsE3mQwa7cFTfWpvJOG5JfqjQEBNYukOQFm3VeDqM+r0wcfRhCHV+1zNeJ5xCRCPgeQp+3v9\n",
       "bGAAAAdebW9vdgAAAGxtdmhkAAAAAAAAAAAAAAAAAAAD6AAAA+gAAQAAAQAAAAAAAAAAAAAAAAEA\n",
       "AAAAAAAAAAAAAAAAAAABAAAAAAAAAAAAAAAAAABAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAA\n",
       "AAAAAgAABoh0cmFrAAAAXHRraGQAAAADAAAAAAAAAAAAAAABAAAAAAAAA+gAAAAAAAAAAAAAAAAA\n",
       "AAAAAAEAAAAAAAAAAAAAAAAAAAABAAAAAAAAAAAAAAAAAABAAAAAAoAAAAHgAAAAAAAkZWR0cwAA\n",
       "ABxlbHN0AAAAAAAAAAEAAAPoAAABAAABAAAAAAYAbWRpYQAAACBtZGhkAAAAAAAAAAAAAAAAAAAy\n",
       "AAAAMgBVxAAAAAAALWhkbHIAAAAAAAAAAHZpZGUAAAAAAAAAAAAAAABWaWRlb0hhbmRsZXIAAAAF\n",
       "q21pbmYAAAAUdm1oZAAAAAEAAAAAAAAAAAAAACRkaW5mAAAAHGRyZWYAAAAAAAAAAQAAAAx1cmwg\n",
       "AAAAAQAABWtzdGJsAAAAs3N0c2QAAAAAAAAAAQAAAKNhdmMxAAAAAAAAAAEAAAAAAAAAAAAAAAAA\n",
       "AAAAAoAB4ABIAAAASAAAAAAAAAABAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAGP//\n",
       "AAAAMWF2Y0MBZAAg/+EAGGdkACCs2UCgPaEAAAMAAQAAAwDIDxgxlgEABmjr48siwAAAABx1dWlk\n",
       "a2hA8l8kT8W6OaUbzwMj8wAAAAAAAAAYc3R0cwAAAAAAAAABAAAAZAAAAIAAAAAUc3RzcwAAAAAA\n",
       "AAABAAAAAQAAArBjdHRzAAAAAAAAAFQAAAADAAABAAAAAAEAAAKAAAAAAQAAAQAAAAABAAAAAAAA\n",
       "AAEAAACAAAAAAQAAAoAAAAABAAABAAAAAAEAAAAAAAAAAQAAAIAAAAABAAACAAAAAAIAAACAAAAA\n",
       "AQAAAoAAAAABAAABAAAAAAEAAAAAAAAAAQAAAIAAAAABAAACAAAAAAIAAACAAAAABAAAAQAAAAAB\n",
       "AAABgAAAAAEAAACAAAAAAQAAAoAAAAABAAABAAAAAAEAAAAAAAAAAQAAAIAAAAABAAABgAAAAAEA\n",
       "AACAAAAAAQAAAgAAAAACAAAAgAAAAAEAAAKAAAAAAQAAAQAAAAABAAAAAAAAAAEAAACAAAAAAQAA\n",
       "AoAAAAABAAABAAAAAAEAAAAAAAAAAQAAAIAAAAABAAABAAAAAAEAAAKAAAAAAQAAAQAAAAABAAAA\n",
       "AAAAAAEAAACAAAAAAQAAAoAAAAABAAABAAAAAAEAAAAAAAAAAQAAAIAAAAABAAACgAAAAAEAAAEA\n",
       "AAAAAQAAAAAAAAABAAAAgAAAAAEAAAIAAAAAAgAAAIAAAAABAAACgAAAAAEAAAEAAAAAAQAAAAAA\n",
       "AAABAAAAgAAAAAEAAAKAAAAAAQAAAQAAAAABAAAAAAAAAAEAAACAAAAAAQAAAgAAAAACAAAAgAAA\n",
       "AAEAAAKAAAAAAQAAAQAAAAABAAAAAAAAAAEAAACAAAAAAQAAAQAAAAABAAACgAAAAAEAAAEAAAAA\n",
       "AQAAAAAAAAABAAAAgAAAAAMAAAEAAAAAAQAAAYAAAAABAAAAgAAAAAEAAAGAAAAAAQAAAIAAAAAC\n",
       "AAABAAAAAAEAAAGAAAAAAQAAAIAAAAACAAABAAAAAAEAAAIAAAAAAgAAAIAAAAACAAABAAAAAAEA\n",
       "AAGAAAAAAQAAAIAAAAAcc3RzYwAAAAAAAAABAAAAAQAAAGQAAAABAAABpHN0c3oAAAAAAAAAAAAA\n",
       "AGQAACAwAAABzgAAAnwAAAPGAAABiQAAAOQAAAD5AAAEUQAAAZYAAAEXAAABCQAAA7MAAAEkAAAA\n",
       "/wAAA+AAAAG7AAAAsQAAANoAAAO5AAABHAAAAMwAAAHLAAAB5QAAAcgAAAJHAAACLAAAAMkAAANf\n",
       "AAABbQAAANMAAADLAAACvgAAAOgAAAMRAAAA1wAAAOAAAAOQAAABWQAAAJ0AAACHAAADOgAAAXEA\n",
       "AACxAAAA1AAAAhsAAAP8AAABbwAAAL8AAADiAAADrAAAAXEAAADaAAAA6gAAA84AAAFtAAAAzQAA\n",
       "ATMAAAPCAAABMAAAAT4AAASgAAABxgAAAPEAAADxAAADvgAAAaYAAADCAAABJgAAA1MAAAEGAAAA\n",
       "5wAAA68AAAGRAAAA5QAAALYAAAG7AAADhQAAAU4AAADwAAAAugAAAl4AAAHCAAACGQAAAlUAAADP\n",
       "AAAClgAAAL4AAAGQAAAB5AAAAhgAAACtAAABlgAAAboAAAKSAAAA9QAAAMQAAAHnAAABdgAAAekA\n",
       "AAEFAAAAFHN0Y28AAAAAAAAAAQAAACwAAABidWR0YQAAAFptZXRhAAAAAAAAACFoZGxyAAAAAAAA\n",
       "AABtZGlyYXBwbAAAAAAAAAAAAAAAAC1pbHN0AAAAJal0b28AAAAdZGF0YQAAAAEAAAAATGF2ZjU4\n",
       "LjI5LjEwMA==\n",
       "\">\n",
       "  Your browser does not support the video tag.\n",
       "</video>"
      ],
      "text/plain": [
       "<IPython.core.display.HTML object>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# convert to html5 video\n",
    "# plt.rcParams['animation.ffmpeg_path'] = '/path_to_your/ffmpeg'\n",
    "video = ani.to_html5_video()\n",
    "html = display.HTML(video)\n",
    "display.display(html)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": []
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "Python 3 (ipykernel)",
   "language": "python",
   "name": "python3"
  },
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 3
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython3",
   "version": "3.11.5"
  },
  "nbTranslate": {
   "displayLangs": [
    "en",
    "pl"
   ],
   "hotkey": "alt-t",
   "langInMainMenu": true,
   "sourceLang": "pl",
   "targetLang": "en",
   "useGoogleTranslate": true
  }
 },
 "nbformat": 4,
 "nbformat_minor": 2
}