set_08.ipynb

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   "cell_type": "code",
   "execution_count": 1,
   "id": "c7e2e0d8",
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   "source": [
    "import numpy as np\n",
    "import matplotlib.pyplot as plt"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "6f53949b",
   "metadata": {},
   "source": [
    "# Q1: Metropolis-Hastings\n",
    "\n",
    "For the spatial part of Hydrogen atom, we can guess a wave function $\\Psi_{T,\\alpha} \\propto e^{-\\alpha r}$. So, $E_{Local}$ is equal to\n",
    "\n",
    "$$ E_L = \\frac{\\hat{H}\\,\\Psi_{T,\\alpha}}{\\Psi_{T,\\alpha}} = -\\frac{1}{2}\\left(\\alpha^2 - 2\\frac{\\alpha}{r} \\right) - \\frac{1}{r}\\,. $$\n",
    "\n",
    "Now we need to calculate the best-fit value for $\\alpha$. Note that there are 3 more complications here compared to the question from the last problem set.\n",
    "\n",
    "1. $r$ here is not Cartesian but is the spatial part of spherical coordinates.\n",
    "\n",
    "2. $E_L$ at $\\alpha = 1$ becomes independent of $r$ (Spoiler: this is infact the correct answer).\n",
    "\n",
    "3. For $\\alpha \\ne 1$ there's a singularity at $r = 1$ in which the potential diverges."
   ]
  },
  {
   "cell_type": "markdown",
   "id": "6aedd08f",
   "metadata": {},
   "source": [
    "## (a)\n",
    "\n",
    "Like before, write a function to preform a Metropolis-Hastings algorithm to find a distribution for $r$ at a defined $\\alpha$ this time using a non-symmetric $Q(x^\\prime; x)$ as discussed in the lecture.\n",
    "\n",
    "P.S. Use two different functions for $Q$ at your choise."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "id": "06763320",
   "metadata": {},
   "outputs": [],
   "source": [
    "def metropolis_hastings_1(P, n):\n",
    "    sample = [np.random.uniform()]\n",
    "    for i in range(n):\n",
    "        present = sample[i]\n",
    "        prop = Q(present)\n",
    "        alpha = P(pesent) * "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "id": "53e314b8",
   "metadata": {},
   "outputs": [],
   "source": []
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "id": "0710b732",
   "metadata": {},
   "outputs": [],
   "source": []
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "id": "a9809757",
   "metadata": {},
   "outputs": [],
   "source": []
  },
  {
   "cell_type": "markdown",
   "id": "522d5a0a",
   "metadata": {},
   "source": [
    "## (b)\n",
    "\n",
    "Plot histograms for $r$ with different sizes for each choise of $Q$ and compare them to each other and the analytical function. Which choise of $Q$ is better? Do you think there's a mathematical reason behind this?"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "id": "cf128b3e",
   "metadata": {},
   "outputs": [],
   "source": [
    "# Your code here"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "44f3ab54",
   "metadata": {},
   "source": [
    "## (c)\n",
    "\n",
    "As before, plot $\\langle E_L \\rangle$ and $\\sigma^2 = \\langle E_L^2 \\rangle - \\langle E_L \\rangle^2$ for different values of $\\alpha$ and show that indeed $\\alpha = 1$ is the best-fit value."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "id": "a8a832d1",
   "metadata": {},
   "outputs": [],
   "source": [
    "# Your code here"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "76c17429",
   "metadata": {},
   "source": [
    "# Q2: FFT (warm up)\n",
    "\n",
    "## (a)\n",
    "Using `'scipy.fft'`, calculate and the fourier modes of $x(t) = 2\\sin(t) + \\sin(10t)$. Plot the absolute values."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "id": "b6f6c3e3",
   "metadata": {},
   "outputs": [],
   "source": [
    "from scipy.fft import fft, fftshift, fftfreq"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "id": "84a5ef9d",
   "metadata": {},
   "outputs": [],
   "source": [
    "n = 1000\n",
    "ti = 0    #s\n",
    "tf = 20   #s\n",
    "t = np.linspace(ti, tf, n)\n",
    "x = 2 * np.sin(t) + np.sin(10 * t)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 10,
   "id": "f57fbca8",
   "metadata": {},
   "outputs": [
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       "    );\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.rubberband_canvas.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",
       "// from https://stackoverflow.com/questions/1114465/getting-mouse-location-in-canvas\n",
       "mpl.findpos = function (e) {\n",
       "    //this section is from http://www.quirksmode.org/js/events_properties.html\n",
       "    var targ;\n",
       "    if (!e) {\n",
       "        e = window.event;\n",
       "    }\n",
       "    if (e.target) {\n",
       "        targ = e.target;\n",
       "    } else if (e.srcElement) {\n",
       "        targ = e.srcElement;\n",
       "    }\n",
       "    if (targ.nodeType === 3) {\n",
       "        // defeat Safari bug\n",
       "        targ = targ.parentNode;\n",
       "    }\n",
       "\n",
       "    // pageX,Y are the mouse positions relative to the document\n",
       "    var boundingRect = targ.getBoundingClientRect();\n",
       "    var x = e.pageX - (boundingRect.left + document.body.scrollLeft);\n",
       "    var y = e.pageY - (boundingRect.top + document.body.scrollTop);\n",
       "\n",
       "    return { x: x, y: y };\n",
       "};\n",
       "\n",
       "/*\n",
       " * return a copy of an object with only non-object keys\n",
       " * we need this to avoid circular references\n",
       " * 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",
       "    var canvas_pos = mpl.findpos(event);\n",
       "\n",
       "    if (name === 'button_press') {\n",
       "        this.canvas.focus();\n",
       "        this.canvas_div.focus();\n",
       "    }\n",
       "\n",
       "    var x = canvas_pos.x * this.ratio;\n",
       "    var y = canvas_pos.y * this.ratio;\n",
       "\n",
       "    this.send_message(name, {\n",
       "        x: x,\n",
       "        y: y,\n",
       "        button: event.button,\n",
       "        step: event.step,\n",
       "        guiEvent: simpleKeys(event),\n",
       "    });\n",
       "\n",
       "    /* This prevents the web browser from automatically changing to\n",
       "     * the text insertion cursor when the button is pressed.  We want\n",
       "     * to control all of the cursor setting manually through the\n",
       "     * 'cursor' event from matplotlib */\n",
       "    event.preventDefault();\n",
       "    return false;\n",
       "};\n",
       "\n",
       "mpl.figure.prototype._key_event_extra = function (_event, _name) {\n",
       "    // Handle any extra behaviour associated with a key event\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.key_event = function (event, name) {\n",
       "    // 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 icon-home\", \"home\"], [\"Back\", \"Back to previous view\", \"fa fa-arrow-left icon-arrow-left\", \"back\"], [\"Forward\", \"Forward to next view\", \"fa fa-arrow-right icon-arrow-right\", \"forward\"], [\"\", \"\", \"\", \"\"], [\"Pan\", \"Left button pans, Right button zooms\\nx/y fixes axis, CTRL fixes aspect\", \"fa fa-arrows icon-move\", \"pan\"], [\"Zoom\", \"Zoom to rectangle\\nx/y fixes axis\", \"fa fa-square-o icon-check-empty\", \"zoom\"], [\"\", \"\", \"\", \"\"], [\"Download\", \"Download plot\", \"fa fa-floppy-o icon-save\", \"download\"]];\n",
       "\n",
       "mpl.extensions = [\"eps\", \"jpeg\", \"pgf\", \"pdf\", \"png\", \"ps\", \"raw\", \"svg\", \"tif\"];\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 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\" width=\"720.25\">"
      ],
      "text/plain": [
       "<IPython.core.display.HTML object>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.figure(figsize = (10, 5))\n",
    "plt.plot(t, x)\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "id": "a87c827a",
   "metadata": {},
   "outputs": [],
   "source": [
    "T = (tf - ti) / n\n",
    "A = np.abs(fft(x))[:n // 2]\n",
    "F = fftfreq(n, T)[:n // 2]"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 47,
   "id": "8507557c",
   "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(\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",
       "    );\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('style', 'box-sizing: content-box;');\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; position: absolute; left: 0; top: 0; 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",
       "            canvas.setAttribute(\n",
       "                'style',\n",
       "                'width: ' + width + 'px; height: ' + height + 'px;'\n",
       "            );\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",
       "        return function (event) {\n",
       "            return fig.mouse_event(event, name);\n",
       "        };\n",
       "    }\n",
       "\n",
       "    rubberband_canvas.addEventListener(\n",
       "        'mousedown',\n",
       "        on_mouse_event_closure('button_press')\n",
       "    );\n",
       "    rubberband_canvas.addEventListener(\n",
       "        'mouseup',\n",
       "        on_mouse_event_closure('button_release')\n",
       "    );\n",
       "    rubberband_canvas.addEventListener(\n",
       "        'dblclick',\n",
       "        on_mouse_event_closure('dblclick')\n",
       "    );\n",
       "    // Throttle sequential mouse events to 1 every 20ms.\n",
       "    rubberband_canvas.addEventListener(\n",
       "        'mousemove',\n",
       "        on_mouse_event_closure('motion_notify')\n",
       "    );\n",
       "\n",
       "    rubberband_canvas.addEventListener(\n",
       "        'mouseenter',\n",
       "        on_mouse_event_closure('figure_enter')\n",
       "    );\n",
       "    rubberband_canvas.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",
       "    this.rubberband_canvas.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.rubberband_canvas.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",
       "// from https://stackoverflow.com/questions/1114465/getting-mouse-location-in-canvas\n",
       "mpl.findpos = function (e) {\n",
       "    //this section is from http://www.quirksmode.org/js/events_properties.html\n",
       "    var targ;\n",
       "    if (!e) {\n",
       "        e = window.event;\n",
       "    }\n",
       "    if (e.target) {\n",
       "        targ = e.target;\n",
       "    } else if (e.srcElement) {\n",
       "        targ = e.srcElement;\n",
       "    }\n",
       "    if (targ.nodeType === 3) {\n",
       "        // defeat Safari bug\n",
       "        targ = targ.parentNode;\n",
       "    }\n",
       "\n",
       "    // pageX,Y are the mouse positions relative to the document\n",
       "    var boundingRect = targ.getBoundingClientRect();\n",
       "    var x = e.pageX - (boundingRect.left + document.body.scrollLeft);\n",
       "    var y = e.pageY - (boundingRect.top + document.body.scrollTop);\n",
       "\n",
       "    return { x: x, y: y };\n",
       "};\n",
       "\n",
       "/*\n",
       " * return a copy of an object with only non-object keys\n",
       " * we need this to avoid circular references\n",
       " * 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",
       "    var canvas_pos = mpl.findpos(event);\n",
       "\n",
       "    if (name === 'button_press') {\n",
       "        this.canvas.focus();\n",
       "        this.canvas_div.focus();\n",
       "    }\n",
       "\n",
       "    var x = canvas_pos.x * this.ratio;\n",
       "    var y = canvas_pos.y * this.ratio;\n",
       "\n",
       "    this.send_message(name, {\n",
       "        x: x,\n",
       "        y: y,\n",
       "        button: event.button,\n",
       "        step: event.step,\n",
       "        guiEvent: simpleKeys(event),\n",
       "    });\n",
       "\n",
       "    /* This prevents the web browser from automatically changing to\n",
       "     * the text insertion cursor when the button is pressed.  We want\n",
       "     * to control all of the cursor setting manually through the\n",
       "     * 'cursor' event from matplotlib */\n",
       "    event.preventDefault();\n",
       "    return false;\n",
       "};\n",
       "\n",
       "mpl.figure.prototype._key_event_extra = function (_event, _name) {\n",
       "    // Handle any extra behaviour associated with a key event\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.key_event = function (event, name) {\n",
       "    // 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 icon-home\", \"home\"], [\"Back\", \"Back to previous view\", \"fa fa-arrow-left icon-arrow-left\", \"back\"], [\"Forward\", \"Forward to next view\", \"fa fa-arrow-right icon-arrow-right\", \"forward\"], [\"\", \"\", \"\", \"\"], [\"Pan\", \"Left button pans, Right button zooms\\nx/y fixes axis, CTRL fixes aspect\", \"fa fa-arrows icon-move\", \"pan\"], [\"Zoom\", \"Zoom to rectangle\\nx/y fixes axis\", \"fa fa-square-o icon-check-empty\", \"zoom\"], [\"\", \"\", \"\", \"\"], [\"Download\", \"Download plot\", \"fa fa-floppy-o icon-save\", \"download\"]];\n",
       "\n",
       "mpl.extensions = [\"eps\", \"jpeg\", \"pgf\", \"pdf\", \"png\", \"ps\", \"raw\", \"svg\", \"tif\"];\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>"
      ]
     },
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     "output_type": "display_data"
    },
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\" width=\"720.25\">"
      ],
      "text/plain": [
       "<IPython.core.display.HTML object>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "text/plain": [
       "Text(0, 0.5, 'fft[x(t)]')"
      ]
     },
     "execution_count": 47,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "%matplotlib notebook\n",
    "plt.figure(figsize = (10, 8))\n",
    "plt.plot(F, A, 'o')\n",
    "plt.xlabel('f[Hz]', fontsize = 15)\n",
    "plt.ylabel('fft[x(t)]', fontsize = 15)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "id": "31b287f9",
   "metadata": {},
   "outputs": [],
   "source": []
  },
  {
   "cell_type": "markdown",
   "id": "05dec31c",
   "metadata": {},
   "source": [
    "What's the prominent frequency? Does it make sense? If not, what's wrong with the code?"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 25,
   "id": "a33fff66",
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "the most prominent frequency is:  0.15000000000000002\n",
      "the second most prominent frequency is:  1.4000000000000001\n"
     ]
    }
   ],
   "source": [
    "f_1 = np.argmax(A)\n",
    "print('the most prominent frequency is: ', F[f_1])\n",
    "f_2 = np.argmax(A[f_1 + 1:])\n",
    "print('the second most prominent frequency is: ', F[f_2])"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "21c93b5d",
   "metadata": {},
   "source": [
    "but according to the formula for x, the first and second most prominent frequencies must be respectively $\\frac{1}{2\\pi}(\\approx0.159)$ and $\\frac{10}{2\\pi}(\\approx1.59)$."
   ]
  },
  {
   "cell_type": "markdown",
   "id": "567fd6a9",
   "metadata": {},
   "source": [
    "## (b)\n",
    "\n",
    "Calculate and plot Fourier transform of sawtooth function."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "id": "89a9320a",
   "metadata": {},
   "outputs": [],
   "source": [
    "from scipy.signal import sawtooth"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 35,
   "id": "e76a8bdc",
   "metadata": {},
   "outputs": [],
   "source": [
    "n = 1000\n",
    "t = np.linspace(0, 20, n)\n",
    "s = sawtooth(t)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 36,
   "id": "a5da6045",
   "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(\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",
       "    );\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('style', 'box-sizing: content-box;');\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; position: absolute; left: 0; top: 0; 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",
       "            canvas.setAttribute(\n",
       "                'style',\n",
       "                'width: ' + width + 'px; height: ' + height + 'px;'\n",
       "            );\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",
       "        return function (event) {\n",
       "            return fig.mouse_event(event, name);\n",
       "        };\n",
       "    }\n",
       "\n",
       "    rubberband_canvas.addEventListener(\n",
       "        'mousedown',\n",
       "        on_mouse_event_closure('button_press')\n",
       "    );\n",
       "    rubberband_canvas.addEventListener(\n",
       "        'mouseup',\n",
       "        on_mouse_event_closure('button_release')\n",
       "    );\n",
       "    rubberband_canvas.addEventListener(\n",
       "        'dblclick',\n",
       "        on_mouse_event_closure('dblclick')\n",
       "    );\n",
       "    // Throttle sequential mouse events to 1 every 20ms.\n",
       "    rubberband_canvas.addEventListener(\n",
       "        'mousemove',\n",
       "        on_mouse_event_closure('motion_notify')\n",
       "    );\n",
       "\n",
       "    rubberband_canvas.addEventListener(\n",
       "        'mouseenter',\n",
       "        on_mouse_event_closure('figure_enter')\n",
       "    );\n",
       "    rubberband_canvas.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",
       "    this.rubberband_canvas.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.rubberband_canvas.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",
       "// from https://stackoverflow.com/questions/1114465/getting-mouse-location-in-canvas\n",
       "mpl.findpos = function (e) {\n",
       "    //this section is from http://www.quirksmode.org/js/events_properties.html\n",
       "    var targ;\n",
       "    if (!e) {\n",
       "        e = window.event;\n",
       "    }\n",
       "    if (e.target) {\n",
       "        targ = e.target;\n",
       "    } else if (e.srcElement) {\n",
       "        targ = e.srcElement;\n",
       "    }\n",
       "    if (targ.nodeType === 3) {\n",
       "        // defeat Safari bug\n",
       "        targ = targ.parentNode;\n",
       "    }\n",
       "\n",
       "    // pageX,Y are the mouse positions relative to the document\n",
       "    var boundingRect = targ.getBoundingClientRect();\n",
       "    var x = e.pageX - (boundingRect.left + document.body.scrollLeft);\n",
       "    var y = e.pageY - (boundingRect.top + document.body.scrollTop);\n",
       "\n",
       "    return { x: x, y: y };\n",
       "};\n",
       "\n",
       "/*\n",
       " * return a copy of an object with only non-object keys\n",
       " * we need this to avoid circular references\n",
       " * 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",
       "    var canvas_pos = mpl.findpos(event);\n",
       "\n",
       "    if (name === 'button_press') {\n",
       "        this.canvas.focus();\n",
       "        this.canvas_div.focus();\n",
       "    }\n",
       "\n",
       "    var x = canvas_pos.x * this.ratio;\n",
       "    var y = canvas_pos.y * this.ratio;\n",
       "\n",
       "    this.send_message(name, {\n",
       "        x: x,\n",
       "        y: y,\n",
       "        button: event.button,\n",
       "        step: event.step,\n",
       "        guiEvent: simpleKeys(event),\n",
       "    });\n",
       "\n",
       "    /* This prevents the web browser from automatically changing to\n",
       "     * the text insertion cursor when the button is pressed.  We want\n",
       "     * to control all of the cursor setting manually through the\n",
       "     * 'cursor' event from matplotlib */\n",
       "    event.preventDefault();\n",
       "    return false;\n",
       "};\n",
       "\n",
       "mpl.figure.prototype._key_event_extra = function (_event, _name) {\n",
       "    // Handle any extra behaviour associated with a key event\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.key_event = function (event, name) {\n",
       "    // 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 icon-home\", \"home\"], [\"Back\", \"Back to previous view\", \"fa fa-arrow-left icon-arrow-left\", \"back\"], [\"Forward\", \"Forward to next view\", \"fa fa-arrow-right icon-arrow-right\", \"forward\"], [\"\", \"\", \"\", \"\"], [\"Pan\", \"Left button pans, Right button zooms\\nx/y fixes axis, CTRL fixes aspect\", \"fa fa-arrows icon-move\", \"pan\"], [\"Zoom\", \"Zoom to rectangle\\nx/y fixes axis\", \"fa fa-square-o icon-check-empty\", \"zoom\"], [\"\", \"\", \"\", \"\"], [\"Download\", \"Download plot\", \"fa fa-floppy-o icon-save\", \"download\"]];\n",
       "\n",
       "mpl.extensions = [\"eps\", \"jpeg\", \"pgf\", \"pdf\", \"png\", \"ps\", \"raw\", \"svg\", \"tif\"];\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": {
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\" width=\"720.25\">"
      ],
      "text/plain": [
       "<IPython.core.display.HTML object>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "text/plain": [
       "[<matplotlib.lines.Line2D at 0x7fe80597fee0>]"
      ]
     },
     "execution_count": 36,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "plt.figure(figsize = (10, 8))\n",
    "plt.plot(t, s)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 39,
   "id": "b494cba3",
   "metadata": {},
   "outputs": [],
   "source": [
    "T = (20 - 0) / n\n",
    "amps = (fft(s))[:n // 2]\n",
    "freq = fftfreq(n, T)[:n // 2]"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 46,
   "id": "abe9a492",
   "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(\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",
       "    );\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('style', 'box-sizing: content-box;');\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; position: absolute; left: 0; top: 0; 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",
       "            canvas.setAttribute(\n",
       "                'style',\n",
       "                'width: ' + width + 'px; height: ' + height + 'px;'\n",
       "            );\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",
       "        return function (event) {\n",
       "            return fig.mouse_event(event, name);\n",
       "        };\n",
       "    }\n",
       "\n",
       "    rubberband_canvas.addEventListener(\n",
       "        'mousedown',\n",
       "        on_mouse_event_closure('button_press')\n",
       "    );\n",
       "    rubberband_canvas.addEventListener(\n",
       "        'mouseup',\n",
       "        on_mouse_event_closure('button_release')\n",
       "    );\n",
       "    rubberband_canvas.addEventListener(\n",
       "        'dblclick',\n",
       "        on_mouse_event_closure('dblclick')\n",
       "    );\n",
       "    // Throttle sequential mouse events to 1 every 20ms.\n",
       "    rubberband_canvas.addEventListener(\n",
       "        'mousemove',\n",
       "        on_mouse_event_closure('motion_notify')\n",
       "    );\n",
       "\n",
       "    rubberband_canvas.addEventListener(\n",
       "        'mouseenter',\n",
       "        on_mouse_event_closure('figure_enter')\n",
       "    );\n",
       "    rubberband_canvas.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",
       "    this.rubberband_canvas.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.rubberband_canvas.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",
       "// from https://stackoverflow.com/questions/1114465/getting-mouse-location-in-canvas\n",
       "mpl.findpos = function (e) {\n",
       "    //this section is from http://www.quirksmode.org/js/events_properties.html\n",
       "    var targ;\n",
       "    if (!e) {\n",
       "        e = window.event;\n",
       "    }\n",
       "    if (e.target) {\n",
       "        targ = e.target;\n",
       "    } else if (e.srcElement) {\n",
       "        targ = e.srcElement;\n",
       "    }\n",
       "    if (targ.nodeType === 3) {\n",
       "        // defeat Safari bug\n",
       "        targ = targ.parentNode;\n",
       "    }\n",
       "\n",
       "    // pageX,Y are the mouse positions relative to the document\n",
       "    var boundingRect = targ.getBoundingClientRect();\n",
       "    var x = e.pageX - (boundingRect.left + document.body.scrollLeft);\n",
       "    var y = e.pageY - (boundingRect.top + document.body.scrollTop);\n",
       "\n",
       "    return { x: x, y: y };\n",
       "};\n",
       "\n",
       "/*\n",
       " * return a copy of an object with only non-object keys\n",
       " * we need this to avoid circular references\n",
       " * 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",
       "    var canvas_pos = mpl.findpos(event);\n",
       "\n",
       "    if (name === 'button_press') {\n",
       "        this.canvas.focus();\n",
       "        this.canvas_div.focus();\n",
       "    }\n",
       "\n",
       "    var x = canvas_pos.x * this.ratio;\n",
       "    var y = canvas_pos.y * this.ratio;\n",
       "\n",
       "    this.send_message(name, {\n",
       "        x: x,\n",
       "        y: y,\n",
       "        button: event.button,\n",
       "        step: event.step,\n",
       "        guiEvent: simpleKeys(event),\n",
       "    });\n",
       "\n",
       "    /* This prevents the web browser from automatically changing to\n",
       "     * the text insertion cursor when the button is pressed.  We want\n",
       "     * to control all of the cursor setting manually through the\n",
       "     * 'cursor' event from matplotlib */\n",
       "    event.preventDefault();\n",
       "    return false;\n",
       "};\n",
       "\n",
       "mpl.figure.prototype._key_event_extra = function (_event, _name) {\n",
       "    // Handle any extra behaviour associated with a key event\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.key_event = function (event, name) {\n",
       "    // 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 icon-home\", \"home\"], [\"Back\", \"Back to previous view\", \"fa fa-arrow-left icon-arrow-left\", \"back\"], [\"Forward\", \"Forward to next view\", \"fa fa-arrow-right icon-arrow-right\", \"forward\"], [\"\", \"\", \"\", \"\"], [\"Pan\", \"Left button pans, Right button zooms\\nx/y fixes axis, CTRL fixes aspect\", \"fa fa-arrows icon-move\", \"pan\"], [\"Zoom\", \"Zoom to rectangle\\nx/y fixes axis\", \"fa fa-square-o icon-check-empty\", \"zoom\"], [\"\", \"\", \"\", \"\"], [\"Download\", \"Download plot\", \"fa fa-floppy-o icon-save\", \"download\"]];\n",
       "\n",
       "mpl.extensions = [\"eps\", \"jpeg\", \"pgf\", \"pdf\", \"png\", \"ps\", \"raw\", \"svg\", \"tif\"];\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": {
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\" width=\"720.25\">"
      ],
      "text/plain": [
       "<IPython.core.display.HTML object>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "/home/alireza/anaconda3/lib/python3.8/site-packages/matplotlib/cbook/__init__.py:1298: ComplexWarning: Casting complex values to real discards the imaginary part\n",
      "  return np.asarray(x, float)\n"
     ]
    },
    {
     "data": {
      "text/plain": [
       "Text(0, 0.5, 'fft[x(t)]')"
      ]
     },
     "execution_count": 46,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "plt.figure(figsize = (10, 8))\n",
    "plt.plot(freq, amps)\n",
    "plt.xlabel('f[Hz]', fontsize = 15)\n",
    "plt.ylabel('fft[x(t)]', fontsize = 15)"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "4fbb7db1",
   "metadata": {},
   "source": [
    "# Q3: Sunspot data"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "be22bf6d",
   "metadata": {},
   "source": [
    "The attached file `Sunspots.csv` contains monthly solar activity data over a 272 year period. First read the data in a pandas Dataframe and tell pandas to interpret the second column as `datetime`."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "id": "42c142e4",
   "metadata": {},
   "outputs": [],
   "source": [
    "import pandas as pd"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "id": "bac71c06",
   "metadata": {},
   "outputs": [],
   "source": [
    "data = pd.read_csv('Sunspots.csv', index_col = 0)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "id": "64136fa2",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/html": [
       "<div>\n",
       "<style scoped>\n",
       "    .dataframe tbody tr th:only-of-type {\n",
       "        vertical-align: middle;\n",
       "    }\n",
       "\n",
       "    .dataframe tbody tr th {\n",
       "        vertical-align: top;\n",
       "    }\n",
       "\n",
       "    .dataframe thead th {\n",
       "        text-align: right;\n",
       "    }\n",
       "</style>\n",
       "<table border=\"1\" class=\"dataframe\">\n",
       "  <thead>\n",
       "    <tr style=\"text-align: right;\">\n",
       "      <th></th>\n",
       "      <th>Date</th>\n",
       "      <th>Monthly</th>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>Num</th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "    </tr>\n",
       "  </thead>\n",
       "  <tbody>\n",
       "    <tr>\n",
       "      <th>0</th>\n",
       "      <td>1749-01-31</td>\n",
       "      <td>96.7</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>1</th>\n",
       "      <td>1749-02-28</td>\n",
       "      <td>104.3</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2</th>\n",
       "      <td>1749-03-31</td>\n",
       "      <td>116.7</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>3</th>\n",
       "      <td>1749-04-30</td>\n",
       "      <td>92.8</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>4</th>\n",
       "      <td>1749-05-31</td>\n",
       "      <td>141.7</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>...</th>\n",
       "      <td>...</td>\n",
       "      <td>...</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>3260</th>\n",
       "      <td>2020-09-30</td>\n",
       "      <td>0.6</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>3261</th>\n",
       "      <td>2020-10-31</td>\n",
       "      <td>14.4</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>3262</th>\n",
       "      <td>2020-11-30</td>\n",
       "      <td>34.0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>3263</th>\n",
       "      <td>2020-12-31</td>\n",
       "      <td>21.8</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>3264</th>\n",
       "      <td>2021-01-31</td>\n",
       "      <td>10.4</td>\n",
       "    </tr>\n",
       "  </tbody>\n",
       "</table>\n",
       "<p>3265 rows × 2 columns</p>\n",
       "</div>"
      ],
      "text/plain": [
       "            Date  Monthly\n",
       "Num                      \n",
       "0     1749-01-31     96.7\n",
       "1     1749-02-28    104.3\n",
       "2     1749-03-31    116.7\n",
       "3     1749-04-30     92.8\n",
       "4     1749-05-31    141.7\n",
       "...          ...      ...\n",
       "3260  2020-09-30      0.6\n",
       "3261  2020-10-31     14.4\n",
       "3262  2020-11-30     34.0\n",
       "3263  2020-12-31     21.8\n",
       "3264  2021-01-31     10.4\n",
       "\n",
       "[3265 rows x 2 columns]"
      ]
     },
     "execution_count": 7,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "data"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "id": "d9fbe077",
   "metadata": {
    "scrolled": false
   },
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 936x648 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.figure(figsize = (13, 9))\n",
    "l = data.shape[0]\n",
    "plt.plot(data['Date'], data['Monthly'])\n",
    "plt.xticks(np.arange(0, l, l // 8)[1:-1], rotation = 60)\n",
    "plt.xlabel('Date', fontsize = 15)\n",
    "plt.ylabel('Intensity', fontsize = 15)\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "b98fe304",
   "metadata": {},
   "source": [
    "## (a)\n",
    "\n",
    "Do an appropriate Fourier analysis to determine the main cylce of solar activity. What's the period?"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 136,
   "id": "49bb418f",
   "metadata": {},
   "outputs": [],
   "source": [
    "def date_parser(s):\n",
    "    result = []\n",
    "    i = 0\n",
    "    n = len(s)\n",
    "    for j in range(n + 1):\n",
    "        if j == n or s[j] == '-':\n",
    "            result.append(int(s[i : j]))\n",
    "            i = j + 1\n",
    "    return result"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 139,
   "id": "96bb7cab",
   "metadata": {
    "scrolled": true
   },
   "outputs": [],
   "source": [
    "dates = np.array([date_parser(s) for s in np.array(data['Date'])])"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 144,
   "id": "1e824fb8",
   "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(\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",
       "    );\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('style', 'box-sizing: content-box;');\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; position: absolute; left: 0; top: 0; 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",
       "            canvas.setAttribute(\n",
       "                'style',\n",
       "                'width: ' + width + 'px; height: ' + height + 'px;'\n",
       "            );\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",
       "        return function (event) {\n",
       "            return fig.mouse_event(event, name);\n",
       "        };\n",
       "    }\n",
       "\n",
       "    rubberband_canvas.addEventListener(\n",
       "        'mousedown',\n",
       "        on_mouse_event_closure('button_press')\n",
       "    );\n",
       "    rubberband_canvas.addEventListener(\n",
       "        'mouseup',\n",
       "        on_mouse_event_closure('button_release')\n",
       "    );\n",
       "    rubberband_canvas.addEventListener(\n",
       "        'dblclick',\n",
       "        on_mouse_event_closure('dblclick')\n",
       "    );\n",
       "    // Throttle sequential mouse events to 1 every 20ms.\n",
       "    rubberband_canvas.addEventListener(\n",
       "        'mousemove',\n",
       "        on_mouse_event_closure('motion_notify')\n",
       "    );\n",
       "\n",
       "    rubberband_canvas.addEventListener(\n",
       "        'mouseenter',\n",
       "        on_mouse_event_closure('figure_enter')\n",
       "    );\n",
       "    rubberband_canvas.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",
       "    this.rubberband_canvas.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.rubberband_canvas.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",
       "// from https://stackoverflow.com/questions/1114465/getting-mouse-location-in-canvas\n",
       "mpl.findpos = function (e) {\n",
       "    //this section is from http://www.quirksmode.org/js/events_properties.html\n",
       "    var targ;\n",
       "    if (!e) {\n",
       "        e = window.event;\n",
       "    }\n",
       "    if (e.target) {\n",
       "        targ = e.target;\n",
       "    } else if (e.srcElement) {\n",
       "        targ = e.srcElement;\n",
       "    }\n",
       "    if (targ.nodeType === 3) {\n",
       "        // defeat Safari bug\n",
       "        targ = targ.parentNode;\n",
       "    }\n",
       "\n",
       "    // pageX,Y are the mouse positions relative to the document\n",
       "    var boundingRect = targ.getBoundingClientRect();\n",
       "    var x = e.pageX - (boundingRect.left + document.body.scrollLeft);\n",
       "    var y = e.pageY - (boundingRect.top + document.body.scrollTop);\n",
       "\n",
       "    return { x: x, y: y };\n",
       "};\n",
       "\n",
       "/*\n",
       " * return a copy of an object with only non-object keys\n",
       " * we need this to avoid circular references\n",
       " * 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",
       "    var canvas_pos = mpl.findpos(event);\n",
       "\n",
       "    if (name === 'button_press') {\n",
       "        this.canvas.focus();\n",
       "        this.canvas_div.focus();\n",
       "    }\n",
       "\n",
       "    var x = canvas_pos.x * this.ratio;\n",
       "    var y = canvas_pos.y * this.ratio;\n",
       "\n",
       "    this.send_message(name, {\n",
       "        x: x,\n",
       "        y: y,\n",
       "        button: event.button,\n",
       "        step: event.step,\n",
       "        guiEvent: simpleKeys(event),\n",
       "    });\n",
       "\n",
       "    /* This prevents the web browser from automatically changing to\n",
       "     * the text insertion cursor when the button is pressed.  We want\n",
       "     * to control all of the cursor setting manually through the\n",
       "     * 'cursor' event from matplotlib */\n",
       "    event.preventDefault();\n",
       "    return false;\n",
       "};\n",
       "\n",
       "mpl.figure.prototype._key_event_extra = function (_event, _name) {\n",
       "    // Handle any extra behaviour associated with a key event\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.key_event = function (event, name) {\n",
       "    // 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 icon-home\", \"home\"], [\"Back\", \"Back to previous view\", \"fa fa-arrow-left icon-arrow-left\", \"back\"], [\"Forward\", \"Forward to next view\", \"fa fa-arrow-right icon-arrow-right\", \"forward\"], [\"\", \"\", \"\", \"\"], [\"Pan\", \"Left button pans, Right button zooms\\nx/y fixes axis, CTRL fixes aspect\", \"fa fa-arrows icon-move\", \"pan\"], [\"Zoom\", \"Zoom to rectangle\\nx/y fixes axis\", \"fa fa-square-o icon-check-empty\", \"zoom\"], [\"\", \"\", \"\", \"\"], [\"Download\", \"Download plot\", \"fa fa-floppy-o icon-save\", \"download\"]];\n",
       "\n",
       "mpl.extensions = [\"eps\", \"jpeg\", \"pgf\", \"pdf\", \"png\", \"ps\", \"raw\", \"svg\", \"tif\"];\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": {
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\" width=\"432.15\">"
      ],
      "text/plain": [
       "<IPython.core.display.HTML object>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "text/plain": [
       "[<matplotlib.lines.Line2D at 0x7fe7f5bae820>]"
      ]
     },
     "execution_count": 144,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "plt.plot(dates[:, 2])"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "id": "e94da183",
   "metadata": {},
   "outputs": [],
   "source": []
  },
  {
   "cell_type": "code",
   "execution_count": 57,
   "id": "1f184955",
   "metadata": {
    "scrolled": true
   },
   "outputs": [],
   "source": [
    "T = 30\n",
    "amps = (np.abs(fft(np.array(data['Monthly']))))[:l // 2]\n",
    "freq = fftfreq(l, T)[:l // 2]"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 58,
   "id": "f70e36b0",
   "metadata": {
    "scrolled": false
   },
   "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(\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",
       "    );\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('style', 'box-sizing: content-box;');\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; position: absolute; left: 0; top: 0; 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",
       "            canvas.setAttribute(\n",
       "                'style',\n",
       "                'width: ' + width + 'px; height: ' + height + 'px;'\n",
       "            );\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",
       "        return function (event) {\n",
       "            return fig.mouse_event(event, name);\n",
       "        };\n",
       "    }\n",
       "\n",
       "    rubberband_canvas.addEventListener(\n",
       "        'mousedown',\n",
       "        on_mouse_event_closure('button_press')\n",
       "    );\n",
       "    rubberband_canvas.addEventListener(\n",
       "        'mouseup',\n",
       "        on_mouse_event_closure('button_release')\n",
       "    );\n",
       "    rubberband_canvas.addEventListener(\n",
       "        'dblclick',\n",
       "        on_mouse_event_closure('dblclick')\n",
       "    );\n",
       "    // Throttle sequential mouse events to 1 every 20ms.\n",
       "    rubberband_canvas.addEventListener(\n",
       "        'mousemove',\n",
       "        on_mouse_event_closure('motion_notify')\n",
       "    );\n",
       "\n",
       "    rubberband_canvas.addEventListener(\n",
       "        'mouseenter',\n",
       "        on_mouse_event_closure('figure_enter')\n",
       "    );\n",
       "    rubberband_canvas.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",
       "    this.rubberband_canvas.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.rubberband_canvas.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",
       "// from https://stackoverflow.com/questions/1114465/getting-mouse-location-in-canvas\n",
       "mpl.findpos = function (e) {\n",
       "    //this section is from http://www.quirksmode.org/js/events_properties.html\n",
       "    var targ;\n",
       "    if (!e) {\n",
       "        e = window.event;\n",
       "    }\n",
       "    if (e.target) {\n",
       "        targ = e.target;\n",
       "    } else if (e.srcElement) {\n",
       "        targ = e.srcElement;\n",
       "    }\n",
       "    if (targ.nodeType === 3) {\n",
       "        // defeat Safari bug\n",
       "        targ = targ.parentNode;\n",
       "    }\n",
       "\n",
       "    // pageX,Y are the mouse positions relative to the document\n",
       "    var boundingRect = targ.getBoundingClientRect();\n",
       "    var x = e.pageX - (boundingRect.left + document.body.scrollLeft);\n",
       "    var y = e.pageY - (boundingRect.top + document.body.scrollTop);\n",
       "\n",
       "    return { x: x, y: y };\n",
       "};\n",
       "\n",
       "/*\n",
       " * return a copy of an object with only non-object keys\n",
       " * we need this to avoid circular references\n",
       " * 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",
       "    var canvas_pos = mpl.findpos(event);\n",
       "\n",
       "    if (name === 'button_press') {\n",
       "        this.canvas.focus();\n",
       "        this.canvas_div.focus();\n",
       "    }\n",
       "\n",
       "    var x = canvas_pos.x * this.ratio;\n",
       "    var y = canvas_pos.y * this.ratio;\n",
       "\n",
       "    this.send_message(name, {\n",
       "        x: x,\n",
       "        y: y,\n",
       "        button: event.button,\n",
       "        step: event.step,\n",
       "        guiEvent: simpleKeys(event),\n",
       "    });\n",
       "\n",
       "    /* This prevents the web browser from automatically changing to\n",
       "     * the text insertion cursor when the button is pressed.  We want\n",
       "     * to control all of the cursor setting manually through the\n",
       "     * 'cursor' event from matplotlib */\n",
       "    event.preventDefault();\n",
       "    return false;\n",
       "};\n",
       "\n",
       "mpl.figure.prototype._key_event_extra = function (_event, _name) {\n",
       "    // Handle any extra behaviour associated with a key event\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.key_event = function (event, name) {\n",
       "    // 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 icon-home\", \"home\"], [\"Back\", \"Back to previous view\", \"fa fa-arrow-left icon-arrow-left\", \"back\"], [\"Forward\", \"Forward to next view\", \"fa fa-arrow-right icon-arrow-right\", \"forward\"], [\"\", \"\", \"\", \"\"], [\"Pan\", \"Left button pans, Right button zooms\\nx/y fixes axis, CTRL fixes aspect\", \"fa fa-arrows icon-move\", \"pan\"], [\"Zoom\", \"Zoom to rectangle\\nx/y fixes axis\", \"fa fa-square-o icon-check-empty\", \"zoom\"], [\"\", \"\", \"\", \"\"], [\"Download\", \"Download plot\", \"fa fa-floppy-o icon-save\", \"download\"]];\n",
       "\n",
       "mpl.extensions = [\"eps\", \"jpeg\", \"pgf\", \"pdf\", \"png\", \"ps\", \"raw\", \"svg\", \"tif\"];\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": {
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\" width=\"799.5333333333333\">"
      ],
      "text/plain": [
       "<IPython.core.display.HTML object>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "text/plain": [
       "[<matplotlib.lines.Line2D at 0x7f0937690a00>]"
      ]
     },
     "execution_count": 58,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "%matplotlib notebook\n",
    "plt.figure(figsize = (8, 5))\n",
    "plt.plot(freq, amps, 'o')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 18,
   "id": "ab12fa5f",
   "metadata": {},
   "outputs": [],
   "source": [
    "f_m = freq[amps[amps.argmax() + 1:].argmax()]"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 19,
   "id": "3af7afa5",
   "metadata": {},
   "outputs": [],
   "source": [
    "T_m = 1 / f_m"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 29,
   "id": "157ca964",
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "the main period is: 4081.250000 (days)\n"
     ]
    }
   ],
   "source": [
    "print('the main period is: %f (days)' % T_m)"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "f86b4688",
   "metadata": {},
   "source": [
    "## (b)\n",
    "First do an inverse Fourier analysis to confirm that you get back the same data."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 30,
   "id": "8337e039",
   "metadata": {},
   "outputs": [],
   "source": [
    "from scipy.fft import ifft"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 50,
   "id": "1daf2589",
   "metadata": {},
   "outputs": [],
   "source": [
    "intensity_reconstructed = ifft(fft(np.array(data['Monthly'])))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 39,
   "id": "e4372704",
   "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(\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",
       "    );\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('style', 'box-sizing: content-box;');\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; position: absolute; left: 0; top: 0; 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",
       "            canvas.setAttribute(\n",
       "                'style',\n",
       "                'width: ' + width + 'px; height: ' + height + 'px;'\n",
       "            );\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",
       "        return function (event) {\n",
       "            return fig.mouse_event(event, name);\n",
       "        };\n",
       "    }\n",
       "\n",
       "    rubberband_canvas.addEventListener(\n",
       "        'mousedown',\n",
       "        on_mouse_event_closure('button_press')\n",
       "    );\n",
       "    rubberband_canvas.addEventListener(\n",
       "        'mouseup',\n",
       "        on_mouse_event_closure('button_release')\n",
       "    );\n",
       "    rubberband_canvas.addEventListener(\n",
       "        'dblclick',\n",
       "        on_mouse_event_closure('dblclick')\n",
       "    );\n",
       "    // Throttle sequential mouse events to 1 every 20ms.\n",
       "    rubberband_canvas.addEventListener(\n",
       "        'mousemove',\n",
       "        on_mouse_event_closure('motion_notify')\n",
       "    );\n",
       "\n",
       "    rubberband_canvas.addEventListener(\n",
       "        'mouseenter',\n",
       "        on_mouse_event_closure('figure_enter')\n",
       "    );\n",
       "    rubberband_canvas.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",
       "    this.rubberband_canvas.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.rubberband_canvas.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",
       "// from https://stackoverflow.com/questions/1114465/getting-mouse-location-in-canvas\n",
       "mpl.findpos = function (e) {\n",
       "    //this section is from http://www.quirksmode.org/js/events_properties.html\n",
       "    var targ;\n",
       "    if (!e) {\n",
       "        e = window.event;\n",
       "    }\n",
       "    if (e.target) {\n",
       "        targ = e.target;\n",
       "    } else if (e.srcElement) {\n",
       "        targ = e.srcElement;\n",
       "    }\n",
       "    if (targ.nodeType === 3) {\n",
       "        // defeat Safari bug\n",
       "        targ = targ.parentNode;\n",
       "    }\n",
       "\n",
       "    // pageX,Y are the mouse positions relative to the document\n",
       "    var boundingRect = targ.getBoundingClientRect();\n",
       "    var x = e.pageX - (boundingRect.left + document.body.scrollLeft);\n",
       "    var y = e.pageY - (boundingRect.top + document.body.scrollTop);\n",
       "\n",
       "    return { x: x, y: y };\n",
       "};\n",
       "\n",
       "/*\n",
       " * return a copy of an object with only non-object keys\n",
       " * we need this to avoid circular references\n",
       " * 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",
       "    var canvas_pos = mpl.findpos(event);\n",
       "\n",
       "    if (name === 'button_press') {\n",
       "        this.canvas.focus();\n",
       "        this.canvas_div.focus();\n",
       "    }\n",
       "\n",
       "    var x = canvas_pos.x * this.ratio;\n",
       "    var y = canvas_pos.y * this.ratio;\n",
       "\n",
       "    this.send_message(name, {\n",
       "        x: x,\n",
       "        y: y,\n",
       "        button: event.button,\n",
       "        step: event.step,\n",
       "        guiEvent: simpleKeys(event),\n",
       "    });\n",
       "\n",
       "    /* This prevents the web browser from automatically changing to\n",
       "     * the text insertion cursor when the button is pressed.  We want\n",
       "     * to control all of the cursor setting manually through the\n",
       "     * 'cursor' event from matplotlib */\n",
       "    event.preventDefault();\n",
       "    return false;\n",
       "};\n",
       "\n",
       "mpl.figure.prototype._key_event_extra = function (_event, _name) {\n",
       "    // Handle any extra behaviour associated with a key event\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.key_event = function (event, name) {\n",
       "    // 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 icon-home\", \"home\"], [\"Back\", \"Back to previous view\", \"fa fa-arrow-left icon-arrow-left\", \"back\"], [\"Forward\", \"Forward to next view\", \"fa fa-arrow-right icon-arrow-right\", \"forward\"], [\"\", \"\", \"\", \"\"], [\"Pan\", \"Left button pans, Right button zooms\\nx/y fixes axis, CTRL fixes aspect\", \"fa fa-arrows icon-move\", \"pan\"], [\"Zoom\", \"Zoom to rectangle\\nx/y fixes axis\", \"fa fa-square-o icon-check-empty\", \"zoom\"], [\"\", \"\", \"\", \"\"], [\"Download\", \"Download plot\", \"fa fa-floppy-o icon-save\", \"download\"]];\n",
       "\n",
       "mpl.extensions = [\"eps\", \"jpeg\", \"pgf\", \"pdf\", \"png\", \"ps\", \"raw\", \"svg\", \"tif\"];\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": {
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CiDMALgNhBlYAa7CJ2aE+fDhw1RUVERERLm5udSzZ08aP3586PH+/ftTnz59KD8/n44cOULt2rWjuXPnhh7v3r07DRgwgEpKSig1NZVatWpFGzaIH4gwCM0BYfYXrDBn55dFuzsAxBxqYf7dmxuj3SXgI+AqfGJGmFlyc3Pp7rvvpieeeIKIiEpLS6lZs2a0a9eu0HMmTZpE3bt3JyKijIwMatq0KeXm5oYeHzp0KPXv31/4NTEIzQFh9hesMGdeKrUl5q4z+bT1eJ4tsQBo7KiF+Z4pEGYgDlyFT0wJ84wZM6hFixbUpEkTatOmDe3cuZOIiNLT0yk+Pp5qa2tDz123bh21bt2aiIgSExMpEAiExZo9ezZ17txZ+LUxCM0BYfYXJRUNwnzmoj3CjJyyAIgDYQZWgKvwiSlhVjh8+DCNGjWKsrPrMy9s2rSJWrVqFfac9PR0atq0KRERzZs3jzp16hT2eGJiInXo0IH7GmPGjKG4uLhQa9IkJt9qy0CY/QUrzKfySmyJqcQ7cr6Ixn11gMoqa2yJC0BjBMIMrABh5hOzFrdo0SK65557iEhshrl9+/Zh22OG2R0gzP6imBHmE7n2CvONI5ZTIJhEb685aktcABojEGZgBbgKn5gV5gULFtANN9xARA1rmHfv3h16fPLkydStWzcialjDnJfXsI5y2LBh1K9fP+HXwyCUp6qmFsLsM1hhzrhQbEtMtQCMXLrPlrgANEbU35feb22KdpeAj4Cr8IkZYZ4+fTpdvHiR6urqaP/+/XTzzTfToEGDQo/369eP+vbtSwUFBXT06FG67rrrwrJkdOvWjQYOHEilpaWUlpZGrVu3RpYMh3lvYwaE2Wewwnwsp8iWmBBmAMRRf1/6QJiBBHAVPjEjzH369KE2bdpQQkICtW/fnp599lkqLW24KamwsJAefvhhatGiBX3nO9+hsWPHhm2flZVFvXv3poSEBGrbti3yMLvA4Pk7Icw+o6i8KmzNsR34RZj7f5hGzy/eE+1ugBhH/X35/dsQZiAOXIVPzAhztMEglOep+TsgzD6DFeaDZwttiekXYUY2D+AFIMzACnAVPhBml8AglGfQx/YJc1VNLVXV1Bo/EVgCwgxhBtFF/X3pOxXCDMSBq/CBMLsEBqE8T86zT5hvfmkldRyZbFPPAI9CRpgPZDsjzKO+8J4w19XVQZiBJ4AwAyvAVfhAmF0Cg1CegfO22ybMkBl3YIV5f3aBLTH9IMw1tRBm4A3U35c/TP062l0CPgKuwgfC7BIYhPIMmNsgzInpmZZiQWbcgRXmfVmxI8xsCkQAogmEGVgBrsIHwuwSGITy/HPO9rADvxUgM+5QUBabwlxRXYMxBkyTX1ppyz0WucUVEd+Xe6dBmIE4cBU+EGaXwCCU559ztkGYfUasCnN5FYQZmEP5zvSatN5SnBnrMyK+K41dmMd9dYDe33Q82t1oVMBV+ECYXQKDUJ4nPoIw+w1WmPdmOiPMXsySUVpZjTEGTLE3s8CWsfPT0Ss1hfn64UmNMkMQ7htwBrgKHwizS2AQyvM4hNl3FJTGpjCzFQ4BkGFflj3C3HnsKk1hDgSTaPiSvTb11jtU474BR4Cr8IEwuwQGoTz/mJ0GYfYZrDDvycy3JaYfhJm92REAGewS5q7jVnOFuTGOSwizM8BV+ECYXQKDUJ7HIMy+I7+0MvRe7z7jjDB7cQ0z+0MBABnsEuY7XkmBMAPLwFX4QJhdAoNQnv4fQpj9BivMu2JImC+VVGKMAVPYJcx3TlgDYQaWgavwgTC7BAahPP1Uwlxt4cYVHFjdwW5hZivoeVmYL0KYgUnsEuZfvrY2poQZuc+dAa7CB8LsEhiE8vz9g9SwA/5/P9tlOhYOrO7AzrSmn75kOR57J7yXhZnNfwtii4NnC2nA3O2UnV9manu7hLn76+sgzMAycBU+EGaXwCCU59H3U2076OPA6g6sMO+0QZjZy65eFuaconKMsRil67j6tcP/nLPd1PZ2CXOvN9bHlDBXVkOYnQCuwgfC7BIYhPL87f2tEGafwQrzjlPWhZk9KXpZmM8XQphjlQ4vLKdAMIn++u43pra3S5h/PXkDhBlYBq7CB8LsEhiE8jwyC8LsN9i1vInpmZbjsSWnvSzMZwvKQv2rrG58RSIAnxtHeEOY75myMaaEGeXonQGuwgfC7BIYhPI8/B6E2W+wwmzH+82WnFbaSx4U5qz8srA+Tkk5Eu0uAZdQhPlBk8K8P9seYe791qaYEmaUo3cGuAofCLNLYBDK89B730CYfYbdwlxW6Q9hPnOxtNELCtDGTmHOKSynuro6U3EgzMAO4Cp8IMwugUEoz1/fhTD7jTwmW4Qd73cJU3Lay8J8Og/CHKvYKcyBYBJNW3vUVBwIM7ADuAofCLNLYBDK8yCE2XfYLczFPhHmk7kljV5QgDY3jUi2VZhvGb3SVBy/CHN1TS3dP2MLTV1j7oeBAoTZGeAqfCDMLoFBKM+DMyHMfsNuYS4sr/KFMB85X+RZQQHOEhLmmeaE+UB2Ydi4+cmoFabi9PGJMLPfFSuwy7WAfcBV+ECYXcKNQbhq/zn60zub6WJJpeOvJcqFogpafeC8qXV5D8zcYrswm10fCMTItVmYC8oihdmLWTLST1/yrKAAZ7npxXphfmDmFlPbq4X5RyMbtzCz6/2tAGF2BggzHwizS7gxCJWDx2srDjn+WqL8bHx9Uv91h3Okt71/hj3CzJZXrq2FMDuJ3cLMltr2sjBvOZbrWUEBzmK3MHccmWwqjl+EmU3BaIXSymrP7VtjAMLMB8LsEm4K84Tkg46/lihKn97dkCG97V9sEuZ1h3NC29dAmB3lQpG9wnypxB/CvPbQec8KCnAWq8J88Gy4MN/0ojlh/v3b/hDm7HwIs5eBMPOBMLtErAvzTBPCfN/0zbYc9Id8sjO0fXUNiko4id3CrF4THQh6cw1zygEIc6zyQ5uF+cYRy03F6TvVf8JsZQKDzaAD7APCzAfC7BKxLszT1x+T3vbPNgnzvz9NhzC7hN3CrF7i4VVhXg1hjlkUYb5/hj3CfMMLjVuY2SI/BWVVpuMUQ5gdAcLMB8LsEq4K83LvCfM767whzGWVNaZiADFyisptPUmr40GYY5Oi8ip6IXEvHTxbGO2uRNBxpDVhPnSuMGLsPPHRNukblP0izJmXGm76yykqNx0HwuwMEGY+EGaXgDDLC/Of3rFHmIctaBDmn5rMcQrEsF2YC/0hzKv2n/OsoDQGXk0+ZGn21UmcEOZAMInKq+R+3PtFmNksGdn5ZabjFDEpJ4F9QJj5QJhdItaXZExdc5Rqausov1Q85d0fHRBmHFydxW5hPlfgD2FeCWF2lOcW7/bs+6oI81+iLMx/mPq174R57aHzpuNAmJ0BwswnZoS5oqKCBgwYQO3bt6cWLVpQx44d6cMPPww93qNHD2rWrBk1b9481CoqKkKPZ2dnU58+fSghIYHatWtHs2bNknr9WJ9hfnvNUXrovfpCJFmCswp/nBZ5AjDDUAiza6hnhK3CpqDysjCv2AdhdpLnF+/x7PtqVZgPn4ssehMrwhwImk/1WQhhdgQIM5+YEeaSkhIaNWoUZWRkUF1dHW3dupVat25NKSkpRFQvzNOmTeNu3717dxowYACVlJRQamoqtWrVijZs2CD8+rEuzFNSjoT+/dWebKFtIcz+Qy3MVgvFsDcIQZhjFy8L849GrqBAMInum77Z1PY8YZa93+JejeOlF8fj6bxwYTZ7IzYrzBdLKunMxVKbexqbQJj5xIwwa3HffffRmDFjiEhfmDMyMqhp06aUm5sb+tvQoUOpf//+wq8V68L85uoGYV62W0yYtU4AZmDTynnpxNEYsVuY2RuEvC3MZz0rKI2BWBTm0spqqTh+EeZTeSVh/aoyKcxaVUArq5EFySoQZj4xK8zl5eX0gx/8gD7//HMiqhfmNm3a0DXXXENdunShxYsXh56bmJhIgUAgbPvZs2dT586dhV8v1oV5sglh1rrEaAYIs3ucVwmz1cqK6su3gWASjf5yv029tY/kvRBmJ4lFYS6pkBNmrStyXhyPamE2K7lawlws+Z6BSCDMfGJSmOvq6ujRRx+lnj17Um1t/Zd169atVFhYSFVVVbRs2TJKSEig9evXExHRvHnzqFOnTmExEhMTqUOHDtzXGDNmDMXFxYVakybOv9UhYfbgTX+TVh0O/ftLQWHWuuvbDIMhzK6hFmarlRXVl2+9KszLIcyOEvzcu8L841HWhJl305+s/PlFmE/mhguz7FpthYLSSGGW/ZEBIoEw84k5Ya6rq6Mnn3ySbr/9diooKOA+b+DAgTRkyBAiqpfj9u3bhz2OGWYxlD69sbJBmL/YlSW0rVapVzMMng9hdgu1MFstFKM+uUKYY5PhS7wvzH+2WZiLyuWKevhFmE+ovtNmU8vll1ZCmB0AwswnpoS5rq6OnnrqKbrtttvo0qVLus8dNGgQDR48mIga1jDn5eWFHh82bBj169dP+LVjXZgnrjgUNWF+av4OT544GiPqNHBm1ycqqE+uXhXmpD0QZifxsjD/xKIwqyv9KU22Cp5fhPn4heKIvhVK/jgggjA7BYSZj2eF+ZlnnqF9++y9uWfw4MF06623hokvEVF+fj4lJydTWVkZ1dTUUHJyMjVv3jyUQYOIqFu3bjRw4EAqLS2ltLQ0at26NbJkCGBFmPu8BWH2G2phtnoTTobGydWLwvzVnmzPCkpjwA/C/Kd3zAnzgWyOMJfKSaSeLHvpfdMS5kAwiVKP5xlvzHCpJFKYZW+U1MKMvDcmIMx8PCvMcXFxFB8fT126dKFp06bRxYsXLcU7deoUNWnShL71rW+F5Vp+8skn6cKFC3THHXdQy5Yt6eqrr6bOnTvTp59+GrZ9VlYW9e7dmxISEqht27bIwyyI0qfXV0KYYwF13uSKamulyI/lRJ5cvZglY9luCLOT+EGY/2izMF8qES/yROQfYdb6ERwIJlHXcSnGGzM4IcwL0k5TIJhEn207bSmOn4Ew8/GsMO/YsYOGDBlCbdq0obi4OPrWt75FDzzwACUlJYVu1PMTsS7MZtYw93ZImK1mbgB81MJs9oYehaPnIzMIQJhjD68Kc25xhWVh3p9doCmQFxupMGv9CA4Ek6jbxHVScS46IMx3vbqWAsEk6vG6XF8aExBmPp4VZoWqqipavHgx9e3bl6644gqKj4+n733ve/S///3P9iUbThLrwsxmyViaLibM90zZaMtBf9DH4cJsdV0t4KMW5v8u3GUp3hENYfbikowvIcyOMnzJXs+9r+py6GaFeV+WtjDnFVcYb8zgH2HWTqP3uzc3SsXREuadpy/RidwS031ThLk7hBlo4HlhZsnJyaFJkybRrbfeSvHx8RQfH0933HEHTZ8+XTfjhReAMDcIc2J6ptC2Tgmz1VlPwCdbozKfFbQyCHhRmL/YleVZQWkMvJDoPWEeMHe7o8J8oSi2hPmeKXLCnFdcYfu+QpghzHr4SpiJiAoKCmjGjBn0f//3f2F5jps3b07PP/88lZeXR7uLmsS6ME82Icy/ezNSmM2kKXtyXrgw23FjCNBmT2a+rSdqrQwCEObYw4vCPHCeSpinfW0qDk+Yc4rkzmV+EWatZVZmZpidFOZuE9dR2omLMVkIBcLMxxfCXFdXR8nJyfTQQw/RVVddRfHx8dSuXTsaOXIkHTp0iBYuXEh33XUXxcfH0+OPPx7t7moS68J8y+iVoX8v2WlemD/afEK6D2phjvW7oJ2Cd+K3gtb6Tghz7OFFYVbfG2FWmPdman9vzhc2TmHWWmYVCCbRb98UzzpFVL9+3ClhVtpfZmwxHcuvQJj5eFqYDx48SM8//zz93//9H8XHx4du/FuxYgXV1UXeuHXfffdR69ato9BTY2JdmNn2+Q4xYf7tmxsitv3PZ/JrYtUzQVNSjkjHAMa8s+6Y7SdqLQn3ojAvTYcwO8kIDwqzuiCSWWHWuioTCCbRufgnaJkAACAASURBVILGJ8zlVTVhVRutCPOFIvuF+ZevrfXk++YmEGY+nhXmn/3sZxQfH09xcXH005/+lKZMmRKRP1nNhAkTPPthQ5jlhfk3k+0RZvYO+0AwiW4csVw6BjBm+nr7hVlr9s2LwpyYnhnzJ1on8aIwD/kkXJjvtVmYzxbIVcDzgzBPXn2E27/fTIYwewGvOpQX8KwwX3311TRo0CDatm2b8DZnzpyRKibiJhDmhrZYUJh/bZMwszmgA8Ek6jputXQMYAxPmLedNJ9DffeZSJnwojAv2QlhdhIvCvOwBem2CLPWGA8EkyhLsmS0H4RZvYyFbb+WFOaconLb9xXCDGHWw7PCXFZmrr68V4EwN7RF288IbaslzMMWpEv34bUV4cJ8xytyCfKBGDxhXij4eWvhF2H+fAeE2Um8KMxPfxouzH+Yak6Yd3GEOfNSqVQcCDOE2Q4gzHw8K8y9evWiuXPn6j5nwYIF1KtXL5d6ZA0Is7ww3z1pfcS2Q00I86vJ4cL88/FrpGMAY2asz9D8vK1UzYIwAyKiF5d6T5j/+9kuR4X5zMXGJ8zqdd/qJpMj/5mFu7lxjp4vMtU/CDOEWQ/PCnNcXByNHTtW9zmvvfYaxcfHu9Qja0CY5WcctYR5yCc7pfswIflgWIxfTIAwOwFPmN/fdNx0TC2Z8KIwL4YwO8rIpfs8976qhc2sMKefvqT5vTmd1wiF+RN9Yf546ynhWE7s768mQpghzHx8LcwvvvgiXXXVVS71yBoQZnlh7qUhzINNCPP45eHCfNera6VjAGN4wmzlpOMXYV60/UzMn2idxIvC/Owie4R5J0eYT+XJVaxrDMI8ccUh4VgQZmeAMPPxlDBv3Lgx1OLi4ujxxx8P+5vS1q1bRx9//DG1a9eObrvttmh3WwgIMyPM2wSF+Y1IYX5q/g7pPrySdCAsRreJsVvFyUlmbohdYV4IYXYULwqzeoa579RNpuLwhFm2xHNjEObxEucuJ/a328R1nnzf3ATCzMdTwhwXFxcqeW3U4uLi6Morr6Qvvvgi2t0Wwk1hljnoOI3WgUx0TWtPDWEe9LG8ML/8Vbgw3zd9M01ff4wOnzO3zg1o48QMs9blaghz7OFFYf7vwvA1zGaFeccpbWE+fqFYKk5jEOYxy8S/2xBmZ4Aw8/GUMM+ZM4fmzJlDH330EcXFxdF9990X+hvb5s2bR0lJSYZ5mb0EhFlemHu8HnnwenKenDAfv1AcEYM9KAL7iGlh3gZhdhIvCvN/VDf9/f5ts8J8UfM7cyyn8QmzOne1uo1cuk84FoTZGSDMfDwlzCz/+Mc/6Msvv4x2N2wDSzIa2qdp5oV54Lztll8/lg+GTuLEkgy/CPNn205jbDnIqC+8J8z/VqWVs1+Y5a6A+eFYZyTMw5fsFY4FYXYGCDMfzwpzYwPC3NAWCApzdw1h/tdcCLNXcUKYtdZ32inMtbV1ND/1lHQKLzWfpkGYneQlDwqzunCJWWHeflJbmGVTo7HbqlNpeuV9G6p6z9TtucW7hWNBmJ0BwszHM8J8+vRpOn36NNXU1IT9X6T5AQizvDBrHbwGQJg9i54wj19+UOpkqOC0MC/bnU2BYBL98MVkS3EgzM7iNWEuqaiO+Lz7vGVOmLdxhFn2Hgt229LKyP55ASNh/q9EJVcIszNAmPl4RpiVG/6OHDkS9n+R5gewhrmhfZIqJsxaKX7+OUe8VDrv9WP5YOgk7+oIs9n322lhfmfdMVvGwgIIs6N4TZjZceOUMB86VygVh922rLLGk+PRSJj//al4YSonju1aVzVjDQgzH88I8+jRo2nMmDF08eLFsP+LND8AYbZHmJ/4CMLsVZwQZq0MAnYJc3lVTdhd+1b4JBXC7CReE2atJQ+9TQpz2gltYT6QbV6Yy6u8KczqZSzq9nSUhfmW0Ss9+b65CYSZj2eEubGDJRnywqxVpvRxCLNn8Zsw3z9ji21jYX7qKYwtBxn95X5Pva9vrDxsmzCnHs/T/K7szy6QisNuW1ld68nxaCTM0Zxh1vqR4ZX3zU0gzHwgzC6BGeaGNj9VrPzpXa9GCvM/ZqdZfv1YPhg6yXsb/SXMdo4Fvwnz8QvFtPP0pWh3QxivCfObq484Lsz7sswLc1WNN4VZnVnES8KcnV+GcwRBmPXwrDBnZGTQl19+ScXFDbkoq6qqaOTIkXTbbbfRXXfdRYsWLYpiD+WAMDe0j7eaF+bHIMyexRlhjrxc7UVh/nirv4RZ6WNldW20uyIEK8xpJy5Guzs0be3RiM/7nikbTcXayhHmvZniwlxXVxe2bU1tnSfHo5EwD1sQPWE+WwBhJoIw6+FZYX700Ufpe9/7HtXWNhzQn3vuOYqLi6OEhAS64oorKD4+ntavXx+9TkoAYZYX5p+PXxOxbf8PIcxeJZaFeZ5Phbm0sjraXRGCFeal6VnR7o5mkR6zwvxNhrYw78nMF45RqxLk2to6elolp17Ay8J8rqBcM05dXZ10LD8DYebjWWHu0KEDPfroo6H/V1ZW0tVXX0133nknlZWVUXZ2Nn3ve9+jvn37RrGX4kCYG9o8QWG+45WUiG3//kGq5df32kmksTBr43FXhFmmfK4etgrzNyd9NbYgzNbQypLx2zc3mIrFE+ZdZ8wLc11dXVixF6+MR7XEe0mYzxdqC/PZgjLpWH4GwszHs8LcvHlzGj58eOj/GzdupLi4OPr4449Dfxs0aBD94Ac/iEb3pIEwM8L8zUmhbbuOgzD7CSeEWauoA4TZOn4TZjZLhheEeeqayCUZPxm1wlSsLRm5mt+VdIk15uolGETh5cS9Mh6NhHmoB4U585K1okZ+A8LMx7PCfM0119DTTz8d+v/YsWMpPj6ezp49G/rb8OHD6corr4xG96SBMMsLc5eXV0ds++j7EGavwhPme6d9HTbzJYNfhHkuhNlRvCbMb6XYJ8ybj2kLs8xNmdWqm/yIwoV54Dy5gk9O4WVhzuEIs9UqoH4DwszHs8J85513UseOHamyspKqq6vpxz/+Md16661hz/nb3/5G1113XZR6KAeEuaHNFRTmTmNXRWz7t/e3Wn59v0iN33h/k7Yw/2vu9tC/a2sbpzDP2QJhdpJRHhPmyRpZMswK86ajFzS/NztOid/cqM6KQUT04tK9nhPm/3y2y7vCXARhJoIw6+FZYZ4/fz7FxcVRu3btqEOHDhQfH08zZswIPV5XV0eBQID+8Ic/RLGX4kCYG9qcLSeFttVKIv9jyZMShNk9RIS5RlKYtaqgeVGYP9p8wldjC8JsDa08zLLHJoXFOzI1vzfbT4oLszrvMlG4MAeCSXS+sNxU/+zESJiHfLJTOJadx/Ydpy7Sj0augDAThFkPzwozEdHbb79NXbp0oS5dutCrr74a9lhKSgq1bt2aZs6cGaXeyQFhlhfmm1+KFGbZAyGE2T14wjyAEebqGrk0ZhBmZ1D6WFZZE+2uCOE1YZ64IrLSnxlhVi+lYFvXcSnCV2Qqqmsixp5amL1wXvivR4X5Z+Mj75dR2uk8CDOox9PC3JiAMDe0jzafENr2x6O0f/FbfX2/SI3fEBHmKhuE2Ytp5Wb7VJgxw2wOrdLYN45YLh2HV11OaaLV/tRxiCKF2QsVYI2EeXCUhFkrhanSTuWVyO6mr4Ew84kZYa6oqKABAwZQ+/btqUWLFtSxY0f68MMPQ48XFhbSI488Qi1btqRrr72WXn755bDts7OzqU+fPpSQkEDt2rWjWbNmSb0+hLmhzRYU5o4jkyHMPkJkSYZsoYy0E/4Q5g+/hjA7CSvMX+yKvjBPWH7QluOJkTAn7TlrHEQjDhHRiESVMCdH/7zgVWG+cwJfmE/mQphBPZ4X5uzsbEpKSqL58+fT3LlzNZsIJSUlNGrUKMrIyKC6ujraunUrtW7dmlJSUoiIqH///tSnTx/Kz8+nI0eOULt27cJid+/enQYMGEAlJSWUmppKrVq1og0bxPNuQpjlhfmmERBmPyEyw1xRLbcEQEuYvbgk4wOfCnNJhT+Emc340JiEubSyWvf4JLrMQ0uY1d9HTwjzQv8J8wkIM7iMZ4W5pKSE/vrXv1LTpk0pPj6e4uLiNFt8fLzp17jvvvtozJgxVFpaSs2aNaNdu3aFHps0aRJ1796diOrLdDdt2pRyc3NDjw8dOpT69+8v/FoQ5ob24ddiwnzDC8shzD5CSxrVwlxeZZ8w5xVX0I5T4qm31Ng5FrR+LCSmZ1qK6SQQZmuM5wizbNrEkgp9YRYdl2WVkcJcVVMbNsv8avIh6f20G0Nhnh8dYf6FjjAfv1Asu5u+BsLMx7PCPHDgQIqLi6Nf//rXNHfuXFqzZg1t2LBBs5mhvLycfvCDH9Dnn39O6enpFB8fH1aGe926ddS6dWsiIkpMTKRAIBC2/ezZs6lz587CrxeLwlxXV6d5ABIV5vbDrR8IIczu4YQwpx6PrIKmCLNyU+jR80Wm+uu0MAeCSXT4nLm+OY3Sv2KfCDO7HtcLwjzuqwOan7dsFpii8ipbjlHqmWqFo+eLQn97bUX0hfmZhbt9J8wZEGZwGc8K87e//W266667HIldV1dHjz76KPXs2ZNqa2tp06ZN1KpVq7DnpKenU9OmTYmIaN68edSpU6ewxxMTE6lDhw7c1xgzZkzYTHiTJs6/1V4TZvWsh9I+EBRmOw6EEGb3cFuYlf+v2n/OVH/dEOYtGbnGG0cBpX9F5VXR7ooQw5d4S5hf5giz7Ix9oU3CrJ6pVjiWA2EW4a5X13LjHMvx5o9ep4Aw8/GsMDdv3pyee+452+PW1dXRk08+SbfffjsVFNTfgSwyw9y+ffuwOJhhNoZXOen9TceFtndDmGUvoQI+PGH+55wGYZZNYyYizKsPnDfVXzuFmVflcMsxCLMdPLuoQbS8IMxjl2kLs+w4KiizR5iLucJcHPrbRB8I81PzdwjF4V29dEKYj5i8guVXIMx8PCvMPXv2pD/96U+2xqyrq6OnnnqKbrvtNrp0qWHto7KGeffu3aG/TZ48mbp160ZEDWuY8/LyQo8PGzaM+vXrJ/zasSjMZwvKPC/MspXnAB/eLCsrzLJZGbZqCLOSJUP5vxdmmN/bmOFLYS70iTD/mymp7AVhHrNsvy3Hp/zSSlvET720QyHjQoMwv74y+sJstK+iwlxb654wHzpXaGZXfQuEmY9nhXnbtm2UkJBAS5cutS3m4MGD6dZbbw0TX4V+/fpR3759qaCggI4ePUrXXXddWJaMbt260cCBA6m0tJTS0tKodevWyJJhQFa+94VZds0h4MObZWWFWfaStZYwK2MAwmwevwnz4Pk7PSXMo7+0R5jPXCy1RfzUSzsUWGF+Y+Vhqb45gdG+Dvo4OsL8y9f4wnwgG8IM6vGsMI8dO5b69u1L8fHxdPfdd9MzzzxDY8eOjWjqfMk8Tp06RU2aNKFvfetb1Lx581B78skniag+D/PDDz9MLVq0oO985zs0duzYsO2zsrKod+/elJCQQG3btkUeZgEyL2mfDGZt9I4wy1aeA3x40sgKs+xNZiLC7IUlGe9u8KcwF5T5Q5jZdfCNSZjveIVfYU4m3tL0LM1tjjPCPGmVeWGura2j7Pwy09sr2CXMNTYL868m8oV5X5ZY8ZjGAoSZj2eFmZdGzs60cm7ipjC/knTA8dcSgTd74iVhlq08B/jMWG8szLJrZr/JcE+Y//1puqk4REQzOcI895uTpmM6id+E+R+z0zwlzGwhFSePT6Lxer6xXnObE7klob9NtiDMypKYzRZ/ANolzHolxe0W5j2Z+WZ21bdAmPl4VphPnTol3PxALArz6bzoCrPIjSGylecAn3fWHeMI87bQv2WXALgpzLInWRbej4VAMIn2ZnpvhiokzKX+EOYHZm6BMOvQ4/V1mtucZIS591ubTE8QKDGsVtk02tcn53lPmHedgTCDejwrzI2NWFyScSqvRPMA9N7GDKHteQcw0Rv1KquND6qylecAH54wP/FRgzDLzmiKCHOKx4V5zpaTpuM6hdK3/NLKaHdFCPamLC8IM1tIxQvC3J0jzOpj8PT1x6T6p+7n2GXWJmPsEuYqm4W528R13DhWiiP5EQgzH98I88WLF+nMmTPR7oZpYlGY2dkNO4VZdJZEpCiAbF5gwGfqmqOa7/HjrDBLzmhuycjVjMlWDPOCME9fr/1jIRBMoo8ES8G7id+EmS0s4QVhZivoqduZi6XCcdwW5v4fpknvK9vPl7/yhjCLTIbIoCfMgWASnYyh8tgQZj6eFuYLFy7Qk08+Sd/+9rcpPj4+VEiEiCgtLY169epFqampUeyhOLEmzHV1dTRp1WHNg8+7G6wJs2gu35wi7TzQEGZneCtFW5gfY9afygoaT5jZZqcwm82awptdl5EAN1H6dqkEwmyGF3SE+a5X1wrHsUuY1cKnoF4W9/cPzJ0vle3HOSzMA+dtF4pjtzCrf3Co2+/f3mRmd30JhJmPZ4U5KyuLrrvuOrriiivowQcfpF/+8pdhN/hVVlbSt7/9bXrqqaei2EtxYm0Ns57ozBQQZr20QaI3ju0+k294UJUtpAH4vM2ZYe73YYMwywqaiDCvOSgvzLz17WbXtOsJs+zJ2w38LszzU08Jp6d0ArbyoJXP22hs/3Ha10Jx1GtwFdQ3Xj/6fuMQ5opq7SqyTgnzLyasMbO7vgTCzMezwvzYY4/RVVddRdu313+BxowZE5ER4/7776ebb745Gt2TJtaEedH2M5aEWe+mDtFZShHZki2kAfh8sStL8z3++wepoX9flBXmY87MMPPSUpld0+5XYZb9PKLFnSphjvb7OnzJHleEefLqI0JxRIX54fe2Su8r20+rVy+N9vdfc8WEubzKXmFW3zSpbr98Tfyqgd+BMPPxrDB/97vfDaukpyXMzz77LLVq1crtrpki1pZkLNQR5hnrjYVZbwbhQlGFUB9EZEu2kAbgIyLMecVin52CU8LMG19ml+hMW6s9ux5tseNh9vOIFl4T5uDnLgmzYCo4VpjZNfPqXPh/ffcb6X1l+zmhkQqzOi2funV/fZ2Z3fUlEGY+nhXmK6+8kv73v/+F/q8lzEOGDKHmzZu73TVTxNoM88JtfGEWuVO7rJJ/QMwpKhfqw2YB2ZItpAH48IT50fcbhDnXAWE2sySjtLLaVmGevPoIhNlBfj7eW8L8/GJ3hFm0Oh9bqY5FLcwPzrQmzGOW7bc0yeBVYe5lIMw931hvYm/9CYSZj2eFuWPHjnT33XeH/q8lzF27dqXbbrvN7a6ZItaE+dO005aEuaRCW2gCwSTKKRQT5k1HLxgeVGULaQA+6mpjWk306oCCyI8eM8KsLiVsRZj/t2i3rSdvNzD7A0aGz3dk0otL91JdnfXy86wwf5J62tb3tayyhhLTM6V+PD+3WP8zF8Vo3Ly+8pBQHHaNN0tWfllYvPtnbBHum4LW1cKdp82lWjPa3wGCwqw3oeKEMN89ab2JvfUnEGY+nhXmUaNGUXx8PM2ZM4eIIoX5jTfeoPj4eJo4cWK0uiiFX4W5praO5qeeosxL4qmSiPSF+Z11xsLME5pAMImS9pwV6sPGIxBmN/njO5sN32/RqwNERPuyCgyXOpgV5ksllbYJs1H/Yk2Yv9iVRQeyC0OvcSrPekouVpjtfl+VjBdPS1R6NPqRJIrRuHlthZgw/2x8iuZrZ6uE+b7pm4X7RsSfSf/Z+BSpOAqeFeZJ+sL8m8kbzOyuL4Ew8/GsMJeWllLXrl0pPj6eunXrRnfeeSfFx8fT4MGD6fbbb6e4uDj6+c9/TpWV/rhpxa/CvHhHJgWCSfTT0SultltgUZgLSvVzKIuw/nBO2DZvrIxMcydbeS7WqKyupZX7zwldhhURR9GrA6LxAsEkWntIXphziys0Y5nJmuJnYZad8TfihEbu9eMXii3HdVKY774sSzIS+KxLwjwhWWzN8B2vaAvz2QJrM8y8fkVbmHlLqpwS5numbDSzu74EwszHs8JMVC/NzzzzDLVq1Yri4uJCrUWLFvTvf/+bSkvlZj2jiV+FmV2bKQN72dSMMF/kzADK9GWdSpi18kLLVp6LNZTcyiLpnvwkzOcLtXN0m8ma4mdhvnPCGlvTs+04ddERYWZnUL0gzGzhHK22L0usHLrRuBG9gbvLy6s135NzBeHjXHYNs5PCnJieGRH3n3O2CcXRW7JnZmzcbSDMfd5CHmbgcWFWqK2tpYMHD9KWLVto7969VF3tvxu1/CrMbDEKGeannuIefKatPWq4vTID2HnsKs0YF4oqDCv+rTsULsxaN2bJVp6LNR5+bysFgkl0/XDjz19EHM97RJjVazudFmbRcu5u4ZTQawnzCRuqpHlOmD/TF+ZAMIm2HMs1jGMUQ/RYzntP1MIsmyWD1687XrEuzFqVYB//yJvC3HcqhBl4WJg3btxIp0+f1n1OZmYmbdzoj0slfhVmNr+sDB9v5Qvz1DXGwpxzeQbwLzO20N/e36oZp7fBr/41B8+HPf9NDWH2S2ngaPHQe99QIJhEHV5YbvhcEXE8VxB9Ya6rq6Odpy9pxjKTAUCkj2YLojiFU8K8/WSkMNtRVthJYe5lQpj/IyDMIhMDRjFES1Hz3hP1lZRHZsnlYeb163YbhFldtjsQTKJ/zBYr3V1sszD/evIG3Vj3ChaQaQxAmPl4Vpjj4+Np7Nixus957bXXIjJneBW/CvPMDRmmDkDzLAqzMjPywMwtVFldSydySzRvKtMj5UC4ME9JiRRmv1Q6ixZ/fbdemG8cYY8wny0oE35tp4R5KqciYSBoLs2gSB+9VoLdKWHe5mNh/vl48WpuT3+abviZixznjGKMWbZfqD+89yRHJcyylf54/eo6zrowq4uqBIJJ1P9DMWEu0rkp3MzY+A2EOQSEmY9nhTkuLs5QmMePH09NmzZ1qUfWcFOYA0GxdcIivL/puDlh/uYk9+DztsCJRLlkzl5CvHfa11IHxdUqYdYq3eyXSmfR4kGbhTk7P/rCfNOLya4Ls9cK5LgpzHZkyfCaMP9bQJhFjnNGMUZ/aVGYi8KF+e8f2CPMXV5eLRVHK56WMPcTFGa9LEpmxsZv39QXZtES5Y0BCDMfXwvzQw89RNdee61LPbKG28Js18lk9uYTpuLNtSjMysGUvYTYd+omqX1cuf9c2HO1Zhb9UrghWjw4s16YbxqRbPhcEXHMckCY1x3Kkdqnm0bwhdlMmkGRPnrt5lKnhDntRKQwn86zfnO214R52AJ3hPmlL/YJ9Yf3nlwoCs8GIzqDa9Q/O4RZ6z4CUaF3XZjfkUvH52cgzHw8Jcy9evUKtbi4OLr++uvD/qa07t27U4cOHSg+Pp4ee+yxaHdbCL8KMztTLMOcLXxhDgSTDIsZKOvb2EuIfd6SE+YV+8KFWSunr5OFGxoDD8zcUi/ML9ojzDL5vKMhzGbSDIr00StLfxZtPxO6kdMtYT5zsfEJ81CXhHnkUmvCrE6fKLpG2Kh/t9kgzOoc0Up7d0OGYZyCMnuF+XdvbtSN9ScIMyCPCXMgEKD27dtT+/btKT4+nlq3bh36P9tuuOEGuv322+l///sfFRYWRrvbQvhVmNlsFzIZJT5iZqa12uzNJ3S3P36hmALB8Et0vaWF+WzYc9kbGJVmdx7axsb9M+qF+YcGwsy7ic6KPLHbdXhhuW3CfOMIfiwzciey314ZZ3bIhR5OCTObZ9gLwjzkk52Gn/lbKdaFeUTiXqH+iAqzaNo2o/51GrtKKo5WPHUGD5nP1ShPv93C/GfJgi9+BsLMx1PCzCKyJMNP+FWYP9vWkE951kbxfK2zDYTZ6CaKYzn1wvwYMyNyz5TIg5oey/caC7NM5blY5C+XhbnjSH1hNspLa1WY9aoIrjssJ8x68i1T7U2rn7wmk07PSZwW5tTjeTEhzINdEuYXLApznkqYRQuDGPXv1jHWhZmXCz0awqx1bmGbbIVEPwNh5uNZYT516hQVFIglf/cDfhVmpdJfIJgkVeDgw6/1hfmWl/QrBx45X0SBYBI9weTl1FpnpkfSHgFh9ojIeBVFmH80coXu80TSbAWCcutZ2e1GJO6lvZkFtgjzDTrC/Lf35dJuqfvJazJrt53EaWHeqiHMMstwePCE2Whpl0JBWRU3paEZYX5q/g5XhHn4kj1C/eF9luoCUCIFiET6J1v5VSueOoOHzHjML23YL15KOBkgzA1AmPl4VpgbG34V5qXpWaaE+QMDYTbK63voXCEFgkn0zzkNB/hfvrZWah+X7c4Oe+57GzMitvfKzJ+XOJZTRKsP1GeeuG96/czuj0fpC7NI1oBAUC5jglqY6+rqbBHm64fz+/fwe84Isx03vtmB08L8TYY3hVl5PlvsaN3hHDqQXRgS5jsniAvzoI+NhXlKyhHhfvHa84utCfMllTAP+niH8D7q9e8WG4RZfUOizHhU9uu3b26gJTsjKwbaLcx/kSwp7mcgzHw8Lcznzp2jCRMm0AMPPEC/+c1vNG8AvPvuu6PdTSH8KsysdMoIM5uOTqsZVY7bn10/m8jOiMgeFL8UEGaZQhqxgvLeZOeX0Z8uL4X4iYEwi2QNCATlcvKy2724dG/E35QmK8ztdYRZthIar09W9ttJzAqKKFrCbMfs+u0cYRatoKg8X0kbyObxNTPD/OQ8d4T5ucW7pfZPnYNfvSRj8Pydwvuo17+bDa4QisRTr6+WGY+KMN877euwSR2zY1rr/hi2QZgBkYeFefv27dS6dWuKi4ujK664gtq2bat5A2D79u2j3VUh/CrM7DpgO4XZqH/K5Xd2RkQ2xhe7wg+kWsIsU0jDq4jOsomivDcHsgtDwmx0ghTJGhAIypVJZrdzS5gfmCl/YrR7v53ErKCIoiXMMrm3efCEuUZSmJW0gez6WTPCPHDedsPP/M3V1oX5fkFRU56vztusnsUdukBujT6vX0Y/oEXiqZeLmA/0ywAAIABJREFUyIzHi4wwq4/zZsa0VgYmM59DYwDCzMezwvyrX/2KrrjiCpo7dy7V1HirSpYZ/CrMbGq2D77Wz2zBMmujNWFWsi4M/qRhRkQ2hnrm4d0NkcLslbWlZlHKfds5U668N4fOFYZutjMSZpGsAYFgEh2/UCzdj0DQXmHW698tL62k2ZtPSP0IEdnvDIn9VrPrTD5tOnrB9PYifbWLLRm5EbG9KMxshgYzwvyvue4IcyCYRMdyjMeO8lx1Gjp14ZJ/S97UyutTe4MrhFqol1Spl4vIjEdl5vyP076OWHpnZkwbCbOZH9J+BcLMx7PCfNVVV/kmx7IIfhVmtviHjDBrzeayrdek9brbK9XYHnqv4RK57EExMT18bZuWMB85XyS8T15E2Y8PJT4b0ZgjEvfST0evDImkHiJZA2TFkd1OEQGtmOttFGalbTgiLqhi0mN+nNn5fTYrKKJsORYpzHb8KOVdFahm1iTroTxfEeazBQ05gM0I8wAXhfnL3dnCcdRZNdSZKESFuaa2jjtza3bMqIVZL9OFESFhfmczfbWnQZj/erkyqWz/fv+2vjA/OFN+qZZfgTDz8awwf/e736X//Oc/0e6GbTg9CA9kFzpyEmSFWUbKtOSUbW+sPKy7vfI8Nn2R7IFVfTOIVjGVbScvCu+TFzHz2YjGZJvRTT7qKwq8LCkis2Va/XBbmBduP2NrvKMWfpjZ+X22S354bNYQZqs3/RXpVHUzK8xs0QwzwvzPOcbCPNkmYU7ee1Y4jvomQXWu42GCSzLe1qiKanXM1NaqhFmn+IgRuYwws8sGFQkXqUzKYijMJu5t8CsQZj6eFebBgwfTLbfc0iiWYxA5Pwi1slLYAbskQ0bKZhoI86RVYsLMJsiXPbCyKfECwSQqr6qJWHuYcjkbhF9R9sOoEIyZmOq2ZGcmd6kCe4NlYnomN6OFzEwru52eMMvMBuvtH9sWbrNXmA+fsy7MdqxVt0t+eDghzMdyirj9rpIU5pyicvo07XTopuJA0KwwbzP8zEWEWSmiM3zJHm6c1QLHKOW5E1ccCvu7+nsouoZZZEzLohZmvR9CRihrs//0zuawAlVERF1eXm2Y1UdN36kQZgUIMx/PCnNxcTH94he/oAcffJDOnBE/eXkVpweh1k12dsAejGSkbMZ6fWF+feUh3e2V53W2IMyLtp/RfC77t893ZArvkxcx89mIxtRqvLW07OXb3WfyuXFkZlrZ7UZ94a4wf7bttK3xDp41X5FUiSGaEcJMX+3i66ORwmy1cImeMFdWywmzsrSDXRNtJq3cEx8JCLPBpAAR0aPvp1IgWJ9ukRdn7SFxYVaygLCwkwTDl8gXQrFrzKiFubiiWrMypEhs5QrBg+9+E3YVlIio67jVhnnj1RgJs5nsOX4FwszHs8J8/fXXU9u2bSkuLo7i4+Ppmmuuoeuvvz6i3XDDDcIxp02bRl27dqVmzZrR/fffH/ZYjx49qFmzZtS8efNQq6hoKGebnZ1Nffr0oYSEBGrXrh3NmjVLan+cHoRaa4btIHmvOWGevj6ySIhM/5Tn3Pby6oi/icboPHaV5nPZv9m5lCEaKPvxkUvCvCBNWyRZYd6bWcCN4xdh/pSzn2bjHci2LsyiN7iZ6atdeF2YtZoZYf7H7DTDz9wuYX520W76x+w0Kq/iX23tOm41txone4PiS1/s03yOGpExLUuNSphLK6u5r2XEidz69+vvH6TSKhuE+Q9Tv9bdV/ZemsYOhJmPZ4W5R48e1LNnT6EmypIlS2jp0qU0ZMgQTWGeNm0ad9vu3bvTgAEDqKSkhFJTU6lVq1a0YcMG4dd2ehBqrRm2g8+ZZQ3vbcwQ3k6rqp5M/5TndLEgzLznsn8TuTHHyyj74ZYwf5JqLMz7svjCLHOTJbud28LM+2FgNp7ynphBiVFdU0ufbTtNd05YY7qku13yw8NtYa6oFluyp/fZmBHm/h/aI8x/e38rBYL1hW2M4uldDdOTRFaYR3lImMsqa7ivZURDYattlHGhmALBhuqDXcelcH888IAwNwBh5uNZYXaS0aNHSwlzRkYGNW3alHJzc0N/Gzp0KPXv31/4NZ0ehFpLIOyAjSeTJcMuYe46zllhVuct9RvKfkRbmNkUfvuz+cIss5aX3e4ll4WZt59m4ymz7mZQYlTV1Ib+/fYa47LLMn21i01HL0TEPp1XSh9vPUUr9p0zFfNYTjG333qzrix6n40ZYe4nIMxG92kQET0yq16Yz1w0Fma9MdnlZb4wD/CIMFcz45f97MzE3n0mnwLBhkIsezLz6VJJJRHVpyCUFeZ7p+kL8yOz5CuA+hUIMx8I82V69OhBbdq0oWuuuYa6dOlCixcvDj2WmJhIgUAg7PmzZ8+mzp07C7+m04NQS1DtgI03c4P7M8xdx6Vo9kUmhvq57N/UeUv9hrIf0RZmNoWfsvxAa/tD58SXJrDbuS3M81NP2RpvT2a+VB+14ldWNwiHyOylTF/tYuORSGE+efnyudnXcVyY35AX5r9/kGr4mRtlAiKSE+Z5W/lj8jadG93YjB6ixzuRMS2LWpiVqwNmYm87Wb/2+b+f7Yp47GfjU6SzZPzRQJiRVg4QeUyY+/XrJ91kZnkVtIR569atVFhYSFVVVbRs2TJKSEig9evXExHRvHnzqFOnTmHPT0xMpA4dOnBfY8yYMRQXFxdqTZo4+1ZPWxuZBsgOzMbU6o9MLOU5t79ivzCzOYOVghh+RdmPOVtO2h5TRiTZFH6KFGttL3PzG7udnjBvdECYP9aREzPxdp2xLszlVTWhf7+2Qv+mWdm+2sUGDWE+4XFhVpqMMCtLKfSaiDA//J64MOt9xzuPXcWtvscuyRA93om8X7JUqYRZyXBiJray9Gf4kj0Rj9316lpqP1wuq4xSoInX/jD1a/Ed9TkQZj6eEmZWMEVbfHy89OtoCbOagQMH0pAhQ4ioXo7VJbi9NsM8VSNvph2YjWk1j6fynDscEObyqppQhTx1on+/oezb3G9O2h5TRiRZYVaWXWhtL3PzG7udsnRGK6YTwjxP4v0Uibfz9CWpPmrFZ4V5/PKDlmI5cawg0hZmZY2p2ddht1c3ZR2sESKfkYwwK6Kr10SE+aH36gttZF4yFma9G5Q7j13FrcbJlq0fIXi8E3m/ZFELc7UFYV5z8DwFgto3Mfa8fMVANEc3kbEw/3qy+P1KfgfCzMdTwnzq1ClTTRYRYR40aBANHjyYiBrWMOfl5YUeHzZsGPXr10/4NZ0ehG+lOC/Mzy7abak/Mv1TnvOz8fYLM1HDWkvRNEteRdm3aAsze3OokmtZa3uZJTDsdm4Ls8z7KRJvxynzBXJYOVT+/a+52y3FcuJYQaQtzOwMsRm8KMxsRTleExFmJU4WU0iF12ZtPM6N00lHmJ9dtDsUQ3SCQOT9koVdUhQINqRJNBNbyd6k9cPxt29ukBobRER/MhDmX01cK76jBhRXVNMjs7bSyv3m1vQ7DYSZj6eE2Wmqq6upvLycXnzxRbrvvvuovLycKisrKT8/n5KTk6msrIxqamooOTmZmjdvTikpDbLWrVs3GjhwIJWWllJaWhq1bt3aU1kylBlTu0+CbLxXkg4Ib2eXMLPFBMzG0BIMtsCCnzEjeKIxtRpPmNkiMccvl7+2eqJlt9ETZl5uaDP7pzSZJS7sdpNXHaYbXlgeEW+7hYqSSozSymrL32+75IfH+sM5EbHZLBdmiq/oCbOSmswIkc/8F4LCrM72wGsiwvzgTHFh1ruH5NYxq7jl60ck7g3FsEuYZdcIE0UKszIWzIxH5SZjrRsr+7xVn1O58HJVRxGMhPmuV+0TZrZmgheBMPOJKWEePXo0NWnSJKz16NGDLly4QHfccQe1bNmSrr76aurcuTN9+umnYdtmZWVR7969KSEhgdq2beu5PMyTXRDmcV+JC/OUlMj+yPRPeQ476yMTg61w9d/PdkWsddwCYTaMqdV4Nx6xRWJO5pboxjHTD7dnmGVuomS3m7z6CP1k1IqIeGknrAtzSUWDMN84YrmlWE4cK4orqmn4kr0RsY+ebxBmmcvkCl4T5pyicqF4RsWZ1jE/LrIFhPmddce4sW4ds4pbvj71eF4ohl2FS+6etF4oDotamPVey4jPtp2mQDCJpmpki1GWV+QVV2hsqc2fp+sLs8zVByPYKrheBMLMJ6aEOZo4PQjHLNvvyEmQjScjzFoz3jL90zqJycRgZ4G0ZkW3ZDQuYZZZcysaU6uJCLOSd9eqnLHbKOmjtOI5IcwyRXrY7SavPkI/GhkpzFuP5xkHMohfVF5FHS7PXpst1Wv1M9GDTV/GtjlbTob+LVrKmuW4jjCXaFS200LkMxcV5tziCqF46jLVan49eUPouWcLjIVZSw4Vfjp6JVeYiRrypGvdJKeFUV96vbFeKA5LRXVNWAy91zJi7jf1Y0qrNsADM7dQIJhE5wrEc5UbCTO7NNAqbJExLwJh5gNhdgmnB6FTJ0E23ssSwjx51WHDg67I67KXwrRi8C7xsrMZWlXbtjKzLn5G2YdoC/NCRpiz8st045jtBy+mE8IsUwGS3W7yqsN004vJEfG+ybAuzJ+kng7922yaK6ufiZnYbLNbmLVKQZvtm6gwXyypFIpnJMy/e3Nj6LkiwqyXe/uW0StDhTu0UJagBT+3R5jNjJmXvzoQ2vb9TQ3rsc3EVpY1aC2dUtaFZ14SL5hzn4EwszefW2XWRizJ8CsQZpdwW5i7v77O9rhjl7kvzL98TV+YaznlgtnZjIXbz0Q8zgrzlmO5GhH8gbIPrgkz53UWbmsQZmVmZ97WU5ZOtFrbacVzIg8ze0KXiTd51WG6cUTkGmYrY0yrfw/O/IbmbDlJy3ZnW45l14lb5H0VLWXNorckIxrCnF9qjzDfM6VBmM8VGC/z0JthvuWllXTrmFXcxxVhfn6xfcIsM4OrjmlVmJU8/1qTIUrmEZkKk3+ZsUV3X9l6ALJU19TS1uN5obGPNcz+BcLsEm4Lc7eJ0RXmSTYJM3t3slYM3ppINgXXkp2RJWVZYZa5/O41lH3wkjDnFJbrxjLbD148rwnz9cMj43191F5hVi47y550zXwXrcZmmxlh1svDXCR4Y5dI30SFuaC0SiieUa5s5ea0QDCJzhdaF+ZOY/nCvMUBYVauJInC+36ZGY/KhIzWsZ0tBiPK/QbCfNvLq42DGPRVqbIIYfYvEGaXcHoQ9leVarUrDQ4bc8wy8TLSb6y0R5hZ8Zc5AbPCvDQ9K+JxVphnrBevYOg1lH3QqwJmNqZW4wmzchNOIJhEuczNNlbkTGs7rXjrD+fYtn9K00vhpRdPfWXlhcsZCmQzeRj1l50RsxrLrhO3yPuqVHeTgc2yoW6imRBE+mb3DPOryfrC/IepDdXlcgSEedpavjDfbCTMl+/ZeG6xWGpQkf2zMsNs9RgxYflBCgSTKGnP2YjHlKIyp/PsE2a999YIZelN13H10v3h1yds/d7ZDYSZD4TZJZwehGz500AwfCmDFdiYSqYCEV5fecjwgCvyuuzSEq0YvEpfrDB/sStSmL/JaBDmKSlHhPfLayj7IFOZTjSmVuNl4/g0rUGYL5VU6sYy2w9evKEL0ulYTrEt+6c0rZuJROKpr6woKb1kZ8GN+sumwbIay64Tt8j7akaYj5x3R5hFU4ddElzDbCTM906zT5h/MmoFddaROuV49z/BXPoi+3e+0LwwG72WEaO/3E+BYBKlHDgf8dij79eXLT+VVyLcN/aKjVbTWx9uxG8u39ypVK2dvRnC7FcgzC7h9CBU36FuV95INqaMME9cYY8w9zAQZl5yerbIA4TZXEytxhPmBYwwF5RV6cYy2w+jvpmJq+TBVbd3dXLe6sVTC/PIpfsoEEyidZKz4Lz4SvsjI1tWY9l14haRLNFS1iyHz/GFmR1rVvsmOsNslzCHzTCrUtUN/mRnRDwjYdZbNqBcURMtPiWyf2sPRcqqaEyj1zJCSV+odeXm7x/UC/OJXPuE+UcjtcuOi3D3pPUUCDZk2vgIwuxbIMwuEWvC/JpNwvzY7DTNviiNl4eVLfJgJMxvpfBPRF5H2Qe3hJlX0IMVZvZGLCtyprWd2fHEi1tTW0dPzd8REUuvSIRevDdWHg7NKAWC9aV7zcgFL77Sfv/2Jun95sWy68QtIllmhPnQuUJuvIJS92eYRbNkGAlz36kNn+GFooZUdS99sS+ijHQgqJ+H+cdREGbZcwxvvGnFNipw89+FuygQTKJUjXSNijD/YerXwoVyeD+c2Wbm6ggRUa/LpbqVXM5KSjy7vnd2A2HmA2F2CbeF2a5E62zMl74QL2v8arI1Yb51zCoKBBuKYKj7ojTeXfJskQctYWbzMGOGWTumVuMJM5vyjP0RY0XOtLYzO554cYnCK6Epbfp6vpzoxXtj5eGwqm3KpeM1B+0VZqX8r8x+66VnswMRyTIjzAeyvSXMeYJ5mCckR5ZtZmF/9LDCPD+1/rus/NhSmp4w/2jkCuqiI8xK8ZJnFtonzKIz8kT8oiW81zL6saHMwO86kx/xWD/mfp5sgRsT2R/7ei2/tNIwlhbdX18XNr7mQZh9C4TZJdwWZqWk9DcZefTc4t2m7k4nMi/ME5IPGh6A9PI6KzdhGGVc4K1hLGaE+UuN1FusME9e7X9hVk6ydsbUarwKePNTG1LIsVJkRc60ttPrm5m4RNrCrCcnevGU6m4bj1ygFfvOhQoKrdZYa2kmvtJ6Xp61ktnvlAPnLb93sv1UNzPCvD+7wLLEiPRNVJhFC5dMWC4uzGzMBZdTpbHZFIzG5I9GrgjdVKZF2omLFAgm0X8X7hLaR5H9k5mUUS9jEXktPZTz3cGzhRGPsTfAH8spsmVfA8HwezNk+NXEtRQINtyIz6bbrOGkRY0mEGY+EGaXcFuYlfVSyv8/2xaZr1IPZeaGjXnvtK/pt29uoKPn9Q9C7Ppho8bjL4LCzJthkhFmmaUmXkPZh2gL88fMSYD9cWZFzrS2MzOW9OISUSiThaic6MVTl0NWijWs3H9OOJ5efFbuZPd709ELlt87PdprpNNTN949B3rsy/KWMLOzwUr7oUaxGiNhZtPKscK8cFt93vgPmGwKRmOy48hkXWHedvKyMH8mJsx3vJJi6fitRp2Kj+VYTpHmPS96KLPIxy9E3uz72OwGYd6tMQOtRmQ/A8EkumhSmH/5Wv13VbmBnT1W3jd9s6mYTgJh5gNhdgm3hVmpTKT8X6ZymTITNSVFu7y10aW4L3dnCx+EeCiVl3KK9IWZ96u/qLzhAG0kzFYOhtFG6f8nqXI/iERiajURYWaLyVg5yWpt13Xcam7f5n5zUmjGRh1TuYGIbXo3WOnFU6cwfCWpXphX7JMX5pKKahq6IF1zX1mhESWVSaWobsOX7BFe78lDRJh59xzooSfMorN+IsciUWEOfr4nYtvOY1dF/M1ImHszwsze9Ld4R31u4SGqG//0hPmHLybrFtfYflmY/xMtYS7jCzMR0ZqDkVc/9NCr5vcPRpi1UoqqEdnPQDCJBn28Q3h/WX4xYQ0FgvVXhYjCl6/JvIduAWHmA2F2CbeF+XYLwvzER9t0Dxx66YuIwotYmD3gigpzHpPPk6XQSJiPhQvzusM5wkUQvITSf7eEmVfkRbnMOF4lCVZOslrbHTzLX88aCCbR5zsiCxnoxSXSFuZxEmXg2e3UlSfHX84Xm7w3Ml+sEUo1M953UPb93HUmX/e901oPKoNTwrwnk99v0R+6IsciUWHW2rbruEjBVH8X1PAKlySm149hZe2r0njr6uvq6igQ1C+uoQiz6HjhCTO7Pl9m7LETGFrbyQqzklbxQlHk8f9x1fnLCL0x8bPx4e+DmR+VPx9fL8y9Jq0nosg1014DwswHwuwSbgtzIJgU9qteRpjVB5zIk4N+1SM7hPnP0yMPiFrbax0wicJnNLTKB6uF2asHLyOUfkddmC/fyKJOx2blPeZt98WuLG7/RNajq2MOXxI5YxgIJtGwBel016tracepi1LxWJS1/FoFFozQS81oZkmG8iOU19JO6O+nEVoVDtWtRLCUNctuHdH3ijCrxSoQNP7RxU5MsKWxlZuUezHr1ANBfoEl9ooeD3b9ugg8YVbv/5e7s8NuzOZhJMxa6+v1UH5saN3Dop7wMUJvTLz0xb6wnOe8yrJ6KGPj15M3EFF4znovnnMgzHwgzC4RDWFmi4fYKczK7DWPhdvdE+YcTvL8WBNm5UYhO2NqNSNhVhf8sPIe87bTFeZVh6XiEvGFWWlGRYD09k1Jr/jVnsgxaISeMLM5fEUx+i5qpeiSwQlhPl9YTv+cwz8e8a4wqRE5FlkRZuWyO9uMKqNOX99wBSGbmblVrogp+XuVxhPmYcyyHR6rHRJmpR0xuK+l0GZhVt4brVRv6vFihN6YGP3l/tC5KBA0d9Nql5frl5H97s2NRBRZ1MtrQJj5QJhdwu1Kf8qXXfk3T3S0MBJm5YZCHnYIs/Kr3qiEKq88K3uTiZYwb/a5MOcVV4SlJ3JLmHk/vOZKCLPILLBymVnrs9ET5jdWyguz1ppUthmVmdcbP4r0ai0LMkKvWuY9UzZKj1mj7+I3Gc4LMy8NJA+tpQ5sy42iMN/E3Oj3F43SykY3E7PCnHmpNPRv5WoEmzowEOQL89OfGgvzyv3npMaLrDAbZd8wWsMsK8zdJtYvV1EvgSKKPBcaoTcmRn+5P+zKjJkrJDe/tJICwfqb5rVez2tAmPlAmF0iGsKsVBkLBOWEmb1pQqsZpRNyU5h5eTbzSxvSGGnN7n19VFuYrd745Bb3q07Q0RbmOVvqhXnWxuNCsYwwK8zqLBVG+0dE9Pxi54T5jZX1lf+0coEboWyr1djiKKIYfRe3ZORK95HlhheWG76GrDAbxYuqMI9IpuMXiilpz9mwY63SRhmk4WTXqLO5nZX17uyPokCQX0znv5/tMhwLSXvOSo0XaWE2uJnQbmFWUrVpHa/VV1uN0BsTW4/nhf0YEq0syXLTiPofVvfP2KL5el4DwswHwuwS0RBmNl2WiDDP2nicPtt22lCYjU4sdgjzHy8Lc56BMGdxhJnN+6m1fpQnzF7Mi6mFut/RFmal3Ov7m8KF+czFUqnPXaG2li/MS9P5wvzaCvuFudvEdVLxWCZfLpUtcre+GnWZbbaZycNs9F3cfMx5YZa9sdYoHu8eBtk4gaDx0ht1rJtGJIf+NuqLSGF+cele3TiKMPf/MC30/24T14VmMdk8zYEgX5ifWbjbcCywPzJF0BLmh9/bSkTas/6GwqyTVo5IXpiVVG1a/MsmYX7w3W+IiMKE2Uw2JWXbv72/NWytuuz31y0gzHwgzC4RDWFmLzWLCLPyXCNhNppxW+SiMJ+5GJlWiCi8fK2MMFeZuKkjGqj7/alLwvyBpDDz4hlRoyPMS3ZmcvtnVF1N3R8ih4V5dX1qxiU7jbN3qNETZjMnXKM4ZmbBWewU5srqWsOlYYFgeBYdPUTeRxFhZn/I3Thieejv7PI3pb2QKCbMvO+uqDA/u8hYmD/fkWn4HJbbNYRZueHtzxo3jxoJM3vFT6sPssKs3PSqxcB51oT57x+k0tdHc0M5w9mreaLjTSv+Y7PTQuuZzXx/3QLCzAfC7BLREOa/f5Aa+redwqwkYOexeAdfaEQPFn+cVn9TE/uLXmv703n2CrPWTSReRN1vt4RZS4iJiGa7KMyf64wvo9y36v4QNaR+Mzve9fZLyWW+WCDdnZrJgsIsuoxIJJZoqWktRISZV5lTDbvmVq+5LczVNQ0lnllhVio6sm34kj26saatPUqBIL+olHIMVNrQBemaz3tusbEws5mLRNDKd65gRpj1Kv0RhR+vRfp516trqf1w7ec8OW+H1LFG/br/mJ0W9vgDMxuE+WyBcaltXvzHOOdVrwFh5gNhdgmnB6HRyYBXcEIrBu+LrTQlATsPN4WZl9KIXRO4XCMHLq/qmZlKZNFA3W/ZSo48tNYOs40nzB9erkqmNQNt5iTBiol6G73x9UqScf5kdUz1+kp1syLMb6+pl6KF288Y9kuNqDBr3fhk1E9eG75Ef1ZUjw42CnPy3rNC/e02cR33KpPsvhtdOSMiqqgOr2KqMHbZgYh4zy3erRtr6hp9YdZKp6cFeyWRh+wa5tt0ZkK/yYgsgGMkzGoh1kL93o776gD3x+AvJqyh6znC/NR8a8L8xEfbwh5/cOY3ocdExhovPoTZ/0CYXcJPwtz/Q31hVhKw87BDmO+9LMxsJS+tS+dapVGJKKzUrIwwm7kLOhqo+22XMGutHWYbT5iVMr5aa5zNnCRW61yi1VsjL1JwRCum3j73sCDMihQp5Y5lUJZzGDXR3LAisdSzazKICLPoTVOrBGeYA8Ek+tfc7bqxjH4EKk1EmMsqtYV53FeRwvzsIjFh5o0Nde5i3veGLbzDg71iI3JFopNG5UIFrdLgRsLMTmDo9VMdl1fa+s4Ja+iGF5ZrPjZ4/k6h1yLSPt6p85E/+G6DMIvknObtE++86jUgzHwgzC7hdWFmTyoiwqx3t7sdwqzkmc0vbRDmurq6iGplx3K0hZk9qGsJs/omFKX5pdqfut9WhbmqppYOnyvSnNllm5Eway39MXOS0NtGrzDO2GX2C7PRFRW9/VLWqY4wWM+qxZuCwlxZbZ8wP66aXZNBSJgFl3wsF5xhFukzW+VOr4kIc0lFtebnrbWs5/dvb+LGYUWNd/WhWPVavO/NiERjYSZqqBwockXip6NXhr0ue5VFLb+BoLEw55oUZl4xnZ+PX0MdOMKsnsnVo7KafyVL4a+MMPPON3oo2/aDMPseCLNLeF2Y2QM474st+kXXW2MqGkNLmImIjl8oDtv+KCdhfk5Rw93IWsJMRHT0fFHkCZ2ZAcvOLzNVytcN1P02M4PJMuST+lkZvZRtgSBfmN9mk1KsAAAgAElEQVTfdJwCQXFhPnxOv9CB3lj5bNtpbv+MikWoY+u9ntL0hPlAdqFmPAU2ddivJq6lRRJLM5T1z0ZNtJiCSCwrM8w3jrBPmJcx1euM2j/n6Auz1g1lWk1EmHkFOCZw1sHzYNf08saEWs558V5cKibMSmYVkSsSt7wULsxsgSj1euRAMIn+47Iw/2x8Stgacr0YepRX1Rg+/6H3WGHWP27p9Yd3XvVaZiYIMx8Is0t4XZhrPCbMfadu0jzBnswtCdueJ3CsMCdzhPl0XmTKM2UJiHJXd6exq3Tft2ih7rdVYVbisFXDtJqRMGuNM14svfWsemNlQRpfmI2KRahjG/UxENQXZqPxrFV8RBRRYRZddy8S64/vbBbunxoRYVb/AObx1R4ZYdZfkrHmoJgwG2VDIeJne3g1WbvIzNpD5w3j8IS5tFJMmNmUdnr0ulwdT+SKxI9HreC+rtaafyNhVi/j4KGOyxPmO15JCUvrpxdDD5FZ/Iff2xp6jDdBo4eyLXsTPttW7DsnHdNJIMx8IMwuEW1hnrPlpO727KV4q8KslcRfNgZPmLUkV4ucQmNhZqtrKU1JY8fOHHoRdb/N3FSmFU+ZaeY1njDP2nicO854sU7l8dcD6o2VT1L5wvySQbEIdWyjPgaCSdy78bW2U6OVbkyE3WfyIwpX8JrounuRWH+e7qwwBz/XzxyhICPMRmuY1x6yT5h5N6/plTHXghVmXgYV9XppXqyXBIVZKSctckWi48hk7utqra02EmZ2AkOvn+q4205qC/Ptr6TQTS9aF2Yt+VfDCrNRCXC9/vCE2UyOdieBMPOBMLuEW8LMlmtlm5Ews2u5eF9s0QOR6IkuEEyig2cLafzygxEHcSUHqfomIa1CGFqcFxDm7PyyiFhKIYRD52JTmAcbCLO6kp/C/2/vy6Okqq71IVnJH3nxqWv9kpe3lqQ0xrwkYhwgxiFqDJqIJvoSTaK+qElMTKJogkYLBRlkEhU0gCLiACgqIqDY0MhMM2PTzDMyN01DA01DM/Wwf39Un659d+19hltVt6qp86111uquurXr7HtPnfvdc/b+tiLMoxZuM/ZVNV0CjW68vbN4u2iz20Q9YV6y9QBr0zROJ5TxpMY0FsMSZpffkG3cvY2tXzdVIwsDVdEs7LyB4RKS8cBoPWGetb7Syo4NYZZWSnVVGbkKijiH4kOBMNuECwDYE2ZVHfLGQXOMftL7CAYXKmJ60MILGLp+UrsSYdbZcRlvNnJ2OCRjfcVhrT1df/5vBH9fTVf/PNPwhFmGJ8wRISrCXLyaT5YxEWYs4xQlYVaNEjGJMHOrwhxwRaXi1Txh3lOdSphVrN6Gihqjn7kE7XemCDNXsEB3nRSGz90CsThPmM/twtuSFE44//B1GL1IJsym5DrJZtjxbjomCsJsqzxhY+uOYWkQZuFhPYz/HzsQ5r+OLtXamrXBjjCb5AMBgg/i2BedBOCL0zem2MGEWSpqY0uYsQa0Dj8bNNfqOIDgbsHPX5xr7JfJpnTeKKjNzxjCXLr9gNaOS784xQ8KnPS3bk94wnz3iEXseZu0otzZZjbhCbMMT5gjQlSEWdIvNRFmfGwuCHNfUnCi40sJwkzjXLlVYQ6YDEsxYhxhrqhOEOaNe1sWYXZJJrOxJzWJML86J0GYRzsQ5i0hCfOohdvE/pmqq0k2barKudhTiIIw28YF489I/uYLYeaST3EBCdz+9raeMM/OIGFWBXqoL2vKq0W7g2dsSrGDQwGk3QuqSyydOxw/rQMO8TEBF6GhiW5cv9p2n6q1R0tCS6B2OcKMdx9sbLj0izsey8qtLQ9PmO96jSfMn6z0hLmlwBPmiJDNQYgl4SQ5plwR5s5jl1vZogUnJMJsM8EBhCfMuw8lKjlt8oSZbcPn8uV5mwnzou0p70mEWSfRpBtvIxfIhNlUeEOyaaPV62JPIQrCjIv72NqUQm/ymTBLW9oPvrNMa2vORl5znTYbwkyl8zCkAjhhCbON5BlAMDlUBzWn2lwD/JvFChkACQlK2q9fDJ6ntZdJwvxxBgnzbosFGPygtnp3tdaerj8SYZZUnHIFT5hlFBRhHjJkCLRr1w6+/OUvw+233x547/Dhw3DXXXfBGWecAV//+tfhmWeeCbxfXl4OHTt2hK985SvQpk0beO2115y+O5uDEE9gRSv3wFX9Z6b8KLmtcgyXG7TLpMcliHCNFpy4qWlyp/GZdGtP6gdeiXYhzKqS0+bKzBHmdXsOw1vzt1qXMLYB7XeY0ss6e1J7dQ5PmIeFIsxyAo1uvL1FVvlwMyWV6cZOmPFuOoYrmWwDl9/h/qZEVRebnHpHLF4Et6cRw/ydDBLmiWWphFl6kH9wjJ4wz7UkzKYCNQD6ZDgA/rq9NJ0hzCgkQ0r64ogpB/Wwajq3KszN5hrg71R5HQpcsY9bBsua0wCpc63N98bi2SfMNImcize//ZXMEGacPIibFDKYK3jCLKOgCPP48eNh4sSJ8NBDD6UQ5nvvvRc6duwIhw4dgo0bN0KbNm1g1KhRze9fe+218Oc//xmOHj0KixcvhjPPPBPmzDEnTyhkcxDibOpPVpbDe4zsVjYIs6QfiY/hpJG49owlYabZ1tKEiFcOpq7hCTPVBo3Fk4lomyuPaO27QNmZtaEybVvUpmq5Jsxq2/JthjCfJxBmXcY5d7yCKsPNtSfGFR5hrqw5bjZIbHIKDLF4Efyg56fWMdEU2SbMUmnhhwyEWarqSZsNYTb5wtnlYpixSoaU9KUrD4+BY/p1UNr2NtcAf2cVeSDjdmNMhJmG0tl8byyefcK8lciUcso9v3p5fvP7q3a5E2a1YICTB3GT7k+5gifMMgqKMCv06NEjQJhra2vhy1/+MixfnpTGeeGFF+Daa68FAIAtW7bAF7/4Rdi/P/n02alTJ7j33nutvzObgxCL6U9aUc4WdsgGYZa0nfExUoIIbbRCm4q3oxUFOZLLAScH6iYkKqGnsrK37Ms8Ye74kv6mEsamalER5mEMYcbbre8sTiXM3xIqwOmKl3DHK7yuIcz/MpQj1o0dk++u9gCiIcx7D7sR5h/1naH9jrY99PGoEjJJmCeUpWq5/0EgzA+/W6a1NW/Tfqt+2RDm/0XkifOFs9uu97QUFSBc/EMizPXMSi4HRZilh1mFW4ckCbOpWAb+zoNMyA/tl4kw09AHm++NxbNPmPFOYixeBDuqalOOuW1o8ppLpbp1OM9AmKet5bW6cwVPmGV4wgwAZWVl8IUvfAEaGpKC7rNmzYKzzjoLAAAmTJgAsVgsYOPNN9+ESy65xPo7szkID5DJlysdnA3CfPeIRUZbXBwe12iFNokw28gAAdgTZlo29415iYeAz7NAmDNhi7MZi+eWMK/bk5TgG7M4tUS3JDemyzjnjldQRVK49ujY8IT5WY2Wbtibc69Ja51u4Dr/pban+piTzSv76Qlz2HFKwxXSsT1+WSph/pOQqPjIe9ER5pemb9L6Itn+N4ljxoT5Y0ElgQt94KCSYKX8AgVM/ExazPg7bQizKYaZqhvZfG8sXgSl27NLmLEaUiyeDMmT7C1PgzBLbbonzC0GnjADQElJCZx55pmBY8rKyuCLX/wiAACMHj0aLr744sD7EyZMgPPPP1/8jp49e0Lr1q2bW6tW2TvVWOPyo+W7Yexn0RBmmwmLWyXhGq3QpggzLcpAS9NKfcB6zS6EWdnDW3XpIl0iYrIZi8tarmHtSY0jzPimw5EXiUhJGecLt1Rpx5rSfOZa57H6Agq6sbNsx8G0xjp3TBSEWSWq2tq8qv9M43eEQSYJM1ct9P6Rn7H2TEUz5m+2I8y6io4Kg6Zt1Poi2e5EVsEPWBBmLvSBg0qClYoKKeDVcboQofMjE4SZ6ufbfG8snn3CTNVNuJAM/H7ZjoNaexykHTbVpGqQuYInzDI8YQa7FeZzzz03YCOfVpjxdtfEst3wQUSE+UJBSggfY6M+EIunVmhTmqGUMNveRPAEvejzKtFviTBvrzqaFnnAuLD7VKubigton3NJmLEE3+9fX5zy/vdJmV3VpASaLuNXsccrKM1nrpnIEz72/0YE+4r1XXXfrztvFFEQZm5VjGIgIno/HpB5wsythkrNJslpHEOY/zLqM/jzqFTS3NlwzRdkkDC/QPSWKSTb/yAPklUotEynw2tzXVQSrAthNsWp4/Ca05kwr9oVJMyccg9+nws5M4Eqq9A2Y50nzC0FnjBDMoZ5xYrkdu7AgQPhmmuuAYBkDHNVVZJ4Pfzww3DPPfdYf2c2ByEmdxPKdrGrM5w+LobLDVq17z1dbLRla/tpgTDXnkxdCbGZEHH2s06dYilDmBsbGwOfTxeKMN86NHzZYQzuoUEqfmAL22v+yuxUwowl+Eo27Ut5v22T/7SFJcxYFYC2O4Yt0Fa+w8fS47iHJ9M4o+OG4plPsk+YdSXGOXuqop2rrzrQlVdT437XGNxD/19Hl7Jj37SrkEnCTNVFKCTbtI84F0Onw2tzXZQ29Ovz+JwSBUyYORKMgcM3ckmYuUJEmSTMy3ceChzL5VWk+9swlYz/1Cf9tRgUFGGuq6uD48ePQ9euXeFXv/oVHD9+HE6eTEwG99xzD9xyyy1QXV0NmzZtgm9+85sBlYxrrrkGHnjgAaitrYUlS5bAWWedlTcqGZgwj1+2i43/ywZh/m63zBFmWtL4xkFzxBvr5X2np3yHdE7oKiIFR5iPnKjLKGH+XtMKq6l8rC24MJdcEmasKMKtCF3UgyfMK3elxgPisSzdqF6ZLRNm3bikflJwY8E0zkzvR0GYY3E+WUmyp2J1XX3VgZOy1DVVIEgCR5j//k4p229T3LptDPP1FoQZFwnhzpNk+/FxwT7iCnNFK+UVdxr/ykGpxrxhIMxY7YEqX1D8EiUIcjrf1D8TYabybRJsxmImCTPdVVpTnvoQn+5vw1QyXpI9zRU8YZZRUIS5R48e0KpVq0C77rrrACChw3znnXfCV7/6Vfja174GvXr1Cnx29+7dcNNNN8FXvvIVOOecc/JKhxkg+aP+sHQXm2GeDcL8na5TjLZsbXedGFxJUIT52MnU5JQf9skuYd5edTSjIRnf7ZYgzL/KEGHGGq6qScUPbGF7zTnCjBVFSrenxvhd0utT1haXcX5lvxnidyu8PHuzsZ82flIs2dpyCfOA4vXW9tRKapjzJ0F33bimq/IIAGwehtJbpq+blFFsdZhtVpj7Tl6nPU+SbVpQB8tj6gpX0PhXDko15k1BtUgBE2aTFOEtgxOynr8ZtpDdOaH+mQgzfRCWYDMWcVEbGxs60N889xCf7m/DRJh94ZKWg4IizLlEVIR5XOkuVsM0G4T5gqcyR5jp1tsNA9MjzNuakva4mFoMjjA/MW6lU1UsE1Qy1K/TKAqBwZ0/qfhBOja51q739JSxhBVFljFJMe16T2NtcRnnuu9WGDorO4R50ed8sqHtzZlDVIT5WQfCfP0Ls43f4Qq662NqJj1bTulHJc7R1+nqLYVtaWwbwtybXE8KyTZdEMCJ2jrCpKssqKBUYySZT4VfowIcJilCSQdf8tNEmLcRvWMJNmPRRJjHLN5h9V0AAAu2BHcfuPOS7m/DVAHTl8ZuOfCEOSJkexC+MW8r/OT52VBz/BRbVjYbhPn8Jyen2KHhAra26QqMIsyc/FF7C8K81ZIwm1YVw0yQGCfrGiIhzJKWazo2de1EXfK64JshR4LpA45q3Gq0zXXIFmGW1Dl0Nk3vU4JlO55cr0f/KfaEucPAOYHXsD5v2DHfrrcbYV64RU7EBQBWS14psNDXVXXHT1aWsyvts9ZnjjBTXW0KyTZNasYVS6doCDONf+WgVGNMid2YMJcblFWkpGvJTxNhpgVCJNj87kyEeX3F4cDnGzSa0zRcx6ZPrjDpk6c7d2canjDL8IQ5IkQ5CKMizOd1SZ08Zq7fmzK52NjqMj5Yoa2DhjDTmzNXSUutet7zxhKt3xxhttkGtQHVC06n7DBGNiZd12t/GK084fhELsziYiEkg4t31n2nwuAZm4z9s/GTgq42mWxSZQgOURHmfpPXWdu7gRLmofND9RHje4ISitRMxRq4aqX/EAizmjvU/1SXesa6vVZ9solh7v7Rau15kmxTnXlc7EenGkK38zko1RjTHI8JM/fbw9AtWHB+mgqX4F0o29+ndKyJMNPE0FP1DexxAKm7DzZ9coWJMKcbTpdpeMIswxPmiBDlIJyEkiJUywZhPpchzFPXVKRMLja21CqRggth5iYxFVd7r4EwcyEZSgM67ASpQO3+ZtjC0LZ0dmPxxOrSqIXbjOoDLjZ1DctS4Qx4LgZQ0s/lqnjpvlPh39kizAY1BbpSRUsXc4iKMPcpWmtt72eD5gZeywRhdu2vTkoNAOBdB8L8ZFM4l/qfyuxNX5s5wtxtYjjC/PzUDYHj9lQnpUB1SV90O5+DUo0ZzZSlx7gdEeZfDtGvCF//wmyIxROFpzhQ/9RDmISwhPmZT1LHtYkwAwQruOqKtHALPKY+ucKkT65CpPIFnjDL8IQ5IkQ5CD9ZyRBmw2TqesOTJg9KQG1tPzEuSJh/2jRh461/hb+9XWrsRzqE+Ud9Z2ht24La/c2r2SPMqtECMDY4VJtaPdHUqmt5wszFph48epKNSV0akjDTams245KzT2FSU6ArVbSKJYc+RdEQ5t4MsZDs/fzF3BNmqViHAo1DjcWL4OXZm9nvUqRK/U8J86fkIf7Bd5axfbIhzE9OCEoe2p4HqpFsS5htrsuwJsL8tgNhNlU1vO65WRCLF0GdsDpL+6WK4UjYEpIwvzR9U8oxroRZV6SFjg2bPrlCJX3T1m/KutA2swlPmGV4whwRohyERSv3pPw4850wP0Yy3XWEufqYudqfkjq77033kIx0J8jS7QfhgdGpq6qmm4otdH0NE/bRdSKve6xrh2qTUlOYMEvaygCpGf9LttoTZryCZaP5a3PuKEo26dUU6ErV8VP1xu+MijBzK3GSvZteKgm8dv/I1JLTrnDtrymEiCPMarWTvv7CpxsCr1PCXLw6SIq41etY3G6lL/7hyubjr2gqMW5zHuj8W46KTekqkdpcFyWzaCqqEfDV8HBwzYAEYZY07Gm/Lu71qdYelp60/X3G4kUwaFpquJ0rYcYP9xTFq/cY+5Xub0MizENmbgptM5vwhFmGJ8wRIcpBOHmVG2GmT/8ujQIrDShJtzC2TFuCpuzxzZWJYhp/yAFhzqQtV/thEgv//k7qir1qPT5ew76OixnYEuZziaYsV4FR6gcuKDAwS4TZJD9GFVuOncwfwkxjZHX2bv53gjBv238UZm2oZK+xK1z7ayLM7yzeLvaJvj50VnDlmRLmKWQ+lFQzbAjz4+NWQCyeIHI2BT1Uo/Mvrs6qK1xhc12UzOKYxTu0fQ/4aiDMV/WfyYbcSf1q22OqNrlOzccuv89YPPkwhGFDmO9FhPnBd5axWtIAqbuxNn1yhRTfj5OX8wmeMMvwhDki5DyGWUOYVaWoMI0Cx4HePWIRAAA8NIbfAtXZMhFmU/a4qj73x7eWas/V6UaYw2g9cyEumNhwr+MbEE7644T/pX5zSglSP3Chi4GkPLHLedYdY5Ifo1u7R07UGb8zKsJsCsXBx1JFA5rIlukxzzWTDOLbi+wJ82tzPw+8vutgkDDTHbc5woORDWF+dGyCMHMPe7rzQMMldh1M/mZ0CZDYhrSKq4jXe0scCLPB1yv7zWBVkDhbuHEEFyBYDdT29xmLF8FzU1NVT1wJcywuV4PEtqRKidJ4s8X3BcI8DFUszSd4wizDE+aIkHOVDA1hHrlgm/bmxq1YSz90HAeqCHNjYyNbiEBn6/rnE4RZynA2ZY9vbJqg/2QgzIsN2ruZJg+ZgM5+mGqCXPgIJjbc67hSGC5KsLb8sHW/F2zZb+0bJsy6aoAuN2QKiUiphhMdAQAOHz9l/M58JMw03jkXhNmkDDDagTDH4gmJQvU3Jcx0ASEdwtz5/eUQi/Px97rzQMMl8K7MdEvC/IOePGFWW/vvL7UnzD81+Hp53+mizj6ArHwjjZ2NIQkzJ5cYhjBL8qI4LEI6fy7zC4cLu/OVTpW6SZjfWzbhCbMMT5gjQpSDkKv0p0sI4W5OuK0pr7aeHPHN6K7XFjW/Lq1USrZ+YiDMVKqHolAJ821D3Qnzn0fJhPnD0tSxFIsXwX6BMK/b40CYN9sTZlpQIMw1O2VQtThZ1wA/HiCXeKZb8LTiIgdaGc52DJj8o43q/Ors0VhsjjAfOVEnxq9mor+mUu6jF6Y+xOu+6+pnk9dtN9EYpnMPDr3B9mwI8yPvlUEsLsuySf7S+TcMYb6ox1T2GCWzOPazndq+Y1s6woxl2SRIxYikz2DCrNsFo7Y4ucRMEmZ8jHT+bH2U0FYgzFh21OW3lm14wizDE+aIEOUg5EiOjjBz8YK4rS0/LL5HgYsEZIIwS1naNC6MYkNFYoK+f2S0hPn3ry/OmC0JOvthCLMk+6aIDff6vpokYcaFS3CsMcVjH6wI2Ji3yZ4wVzoSZi6+lMbqcsCxpbThVXWAhPqHyV5UhLnbRHvCTMERZhub6fT3w1I9YR6VQcJMFxBEwmyhkqHCy8qYipa680BlPXEY04x1doS5rUCYX5yeiOkfZzin2FYHjQwc1sCWoKvsyMm4qfn4zuGLtLHO1Ban/mJDmKmMnaTHj4/5IFuEuQdPmHEoZL3mnEQNT5hleMIcEaIchFz4g44wcxnpqn20fLcTYcaap3cOD0+YTbJGNC6M4uZ/J0q7PvjOMu25yjRhzqStMN9xayjCnKqSoJpEmCtrkgQWV/HauFcmzCfq6gPFE0o27bP2DX+f6RzE4nwBFbo1yoEqX+j6sP/ICaO9qAgzLb2ss0dBtWjDjFfX/prIHRcmpjCxbHfKtcQ7A5QwUztYDQW/b0OYlSQdpzeuOw+0Ch/elZm53pIwd5/K5nSoJFhTmAu2pVPTsbn+V/WXd2Ji8dTiMar63v0jP7PuYyxeBL0mhSPM1JYkL4qPkR7i0vld6O4veIwvEx7AcgFPmGV4whwRohyEXJWsS5+Z5nQ8nhhcCDMuXPK74UndYYl4SbYUYZaevOk2F4V63aRPu+h0I8yGggQc/vSWO2HGIRKYMG/SEGaAIIGcuzFawmyrry3ZxHHUAACVNceN9vpFRJifmhCeMNPKaGHGq2t/pdU8BR1hBkidkzBhpmWfqR2cZ4HftymN/dfRiQRZSQ1G8nfkgm2B4/CuzKz1leL3cbbemh9MTnuhKQnWpDyCbbw5n09wo8dJULJzunkDY92exPX68yg3wszF5ochzJK8KD5m6/6jVn3K1O+C7qLkCzxhluEJc0SIchBKIRZSfClXVCIWL2pO+pAI84XdU7cIsa4lrmznWmziWgNhvqiHHWHmsqwxoibMuu3ITHyHqYIXhz9qCDMXDx+LB8kj3v7cXKknzJhAznEgzDgExHQOYnGeMKtEUtN1laT06Mrl3sP5Q5ifTIMwA8hx7DbQJQVLzRRv+xaj3IOhtvhVwwQuLGE2FfPAMoJScqvkLyW5+CFz9gY3wkzPxYDi9RCLm4vB4M9TAi8dJ0EtaOjmDQx1D/mLI2F+monNx4nItrYkeVH1vi6ULezvQvqsap4wtzx4whwRohyEXPxfLF4E1wo3hHFCYtfRJhktGg+mGifcjyWccHjAc1PXG2+iCvjGJBFMmqVNoV4fKMgcKeAts+uem8XG5tlCt1KnGleIxRU6+1QyzAb3vblEtCcRZrzluiVAmI9ovwtXt+KIgtSP/UfSJ8yq3LrrzVayiau1SfayQZg/YEKuuoxfaW2PgxTHnm5fpTZ2qZ4wc1KXGLQQxrXP2RPmz1BxJfy+ND8q4NA1KVZf8peu6GaSMPefkphbP1lpT5jTXWH+CXn4pI2uMKvE8QdGuxFmLtQI73rZ2pLkRdX7un79sE/qPcE2SU93jjxhbnnwhDkiRDkIlZA9bZcJYRnStrsCXUnDrfZkUJv2YyThpCqKAQA8W2xPmHF/JMJ8iSVhfnF6aqUoDEyYAQA6vVsWijQAANQRFQauXTNAf1O2gc5+GMJMM8p/OWRe898SYcakBJOXLfv0hFnd3GNxfita8osmEpnOMxdjeuOg9AjziJLPA8Qda+lK9lbvTlWYsYHOt8+Ycu7xD1sWYTZJoL0xT0+YMeGMxYOEmcbPUjuNjY3Q/aPVzQVDbH+bWLlDCj2S/KUav3gRIl3CrB7KJq/ao+0//vwb87aKCkQ211/p5EtNIsx/HV1q3cdYvAi6jE8lzGFWmCW1JPW+jjDvqzmRQm6LVurPteQPbjTsKF/gCbMMT5gjQpSD8PmpcmEHDpzW7oNjkslytKIZbjhurr6hMbCdjWWauJU2qW/vL02u5EhP8pc9E5Q1qjke1MhVrw+esUl7rhYRwvxwGoRZlzCWyYlRZ/uWwSVmAwRU2cOGMO8WCPPnBsKMH5y4ZCf6PQeOnoQdVbUpx63aVc0W6FGNI8w/f3Fu8/vnaaqYcf3grh+WBtNd19qT5gInLt9ftuNgymtPjGtZhNlUZON1A2HGKhOxeFEgRMBEmKX+/3jATFiweX+K3rYCLqYiPRiq92mM74iSYLGLLRkkzErru3i1XDFQskWrItLjJNxAdmtooyEZ6sHxb2+7EWbuQVAtyqiKlTa2JLUk9f7D75ZpbdFFI1MyueQPbp4wtzx4whwRohyElZoVYQ6cgoUp01w1HDen5I1Uu6r/zOb3en+SWsABNyzK/+4SM2Fu1zu4TUZlxNTrQ2bqCbPK3lbnJh3CfJRUfnO5Bi7Q2TbdRDhQwnwrIsyz1lfC5soa+GdTwQbVcHEIXPZWSpxRGIAIMyen5XqupPPAEeabXippft9lNY42NSZpARVbezbAx6tEM+wb7dO/PliR1vdLSimufbVt7xoIMw7d4SPTs7EAACAASURBVPpC5f9wiEBYwqzaz1+cy/YJh2RsMySI0ZhwSphxroeOML88ezMMmrYRfjF4nuhDr0mJuVVXYpvzMxbnq9bZXP+fDUo+fHKV7ChhXrEzMWYfGqMnmltI+B83rlXdgOen6sPtsB1JnUO9bwppooo4Uky0rg+00Tj9fIEnzDI8YY4IUQ9CqZoVh4+ZlTqKc7vwP/pJiDDTRBAs7q8mdanhmxROWpRA48oO1SYJM44lNq0wAyRWjlR8ajqEufrYKa2PmZoYdbY7vuROmP9vRJAwdx67HEq3H4QXPt3QHBKDy7jG4sGVKVz2dnuVnjDjWHauYIPruVLHvUDKZXOEWUkN0rGps8s1dU5oWICtPRuoY8/rUpTysMmFeTzWwggzrXxnYxOjolpeFEiXMEt+YzUhbtcD26Ll5ikxxe/pCLMCrcaJoXb1dAVQJD+HzdmScpx6sHxQQ27x741q4sfiqaXPVSXGR97Tr+TSfj46NnVcq/d0BVCoHSnZUL1vSkI9VBvUXP/tqwu1x3N9oM0T5pYHT5gjQtSDcK4DYcaJetJxEmHGiSZYhYDeBCTlAdUwYcaxghIoYT6AVpjrG5KE+d8WhBlDVfIKM5EdIIUspJZuVSed7ZtCEOa7RywK2KiuTd2SpnHxeIUQE2aJSCjgcCFuRcz13OPj8Oc4woxX6RZ9XmVll2sq9pOuhtnas4E69rwuRSmrrVzlTY5YuHx/1IRZpwsv2cSgkn64mZL+XL9LAasJ0fLbCu8s3g4DP90ADzYVOFFt+NwgMcXv2RDmh4g9DFV4RqfnLPk5dNZm8bhVu3jpPIBE1cwFm/fDibp6+J9uU1LsUsK8tCnuvvP7y42+nofuNf9kjlfv6Up3AwBcgKrBSjHKlzaF9h07qU/GrjkeXAy5Y5isY831lWueMLc8eMIcEfKZME9hZKEoJMKMkx9+ihJBqBD700I1MdVuHJSsPIVjuyS0J4QZy47hEsimpD+KsIR5y74jVsVZYvEimGZYCTJBZzsMYb5z+CKjv0NnBQkzluDCZW+5mEgMvDJVvLoCfjlkXiD+1vXc/2bYQvhN02oP/txyRiUDE2auaAqG7hwrpRP8oCBVYePs2UAde16XoubCFKpxMo+dx+qJiOn7oybMo9MkzLqHU1M4met3KWB1ErqKTUGTh+lKLn7PhjB3RiFRNP6+68RVVnY4P7mQNTzObPCdrqmE+fFxwQc4lSti2gkBAOg5aU2zHW5FWr13QVc9YaZyh5yMpVLO4aoTYtD8FCyZqoPuN0CVYPIFnjDL8IQ5IkQ9CHE1K9OPsnh1hfE4Sagex4LiRBC6OqEmdanhUq04Q14CXWHGhTRO1CUnt0HT0ifMupUWBSeyQKp+uUJnW4q/1OF3wxcax8jgGUEdbSzBhTVxTSvMAxFhHr0oNfTGZrxiNDY2Nq/Y48+Vbk+tnIVjmNMhzGo1Cpf7NckFut4YMTmqrj0FdwxLVkjkCDO3Eufy/VLxGpe+ZvI3YOpLda0c/pQtwvwhkt/cS0q1U9DQrldmp0eYnxi3svn4bz05OfDekxMScytXCMjkJ92Bw+FsUpw2xQUMYabncMHmhPa1KTkVIEiYOzHJeOq97xgIMy6iJV1XpfZh+v2eIgpIv8lASIYnzC0PnjBHhKgHIRbnx41WKwMA+NRiYpHsTUGEGSeC0EpYalKXGlbUGFHyuXESoYQZT/xY1SMTK8zctiWFC1nAJcPDQGc7DGH+zatmwvxvQpixBBcmzKYYZrpaSr/ThrhIwKR+6bbUGGWswyyVXJf6gduRJn1y2+pl1J4JmLRgcqRe4wjzPwyxoabvj5owvzpnC1vmWWcTg26R40bDJUw+2fqNFWNoIR0KOo+8PDs4h+D3uJVPCrzgQAlzl/EJMj1v036tjSv6zUjxky4o4HA2k4+cL9I5VAs4nEwcBSbMnBqFeu9/uukJ8/S1qSXfKVQYoSSxp9DQENTYz8QKM5VOzBd4wizDE+aIEPUgnL+ZJ7g0lg4guN0n/XgVOaCteHWSMOMVvDXlQcIc/3CldvK4HpWlfW2uO2HGx2K1ipemu8Uw/4MhzPRmx8GVMKQDnd2fDQpBmIclCbN0E6IKKFc/m1RAwUojplWpQQ6E2ST9xkF9lotRxkmptna4drhJwtC2GAO1ZwK+OeNzoF7jCLMpmcr0/RJhttmhcR37qunCWEy/GZ3UJQ0Lwu9x1Ultf5845OoAUeWhoPMIfejG79kQZpw0/e2ngoT58XErIBYvggWb9YS5/NCxwBwdiyeSZTHwSqopTIHzRTqHszdUQizOFyKhwISZytDhh8nvdivW2pm1vtJ4Xa8zVJSV/Pz1K+nHMHvC3PLgCXNEiHoQLhAI86tMVrTNDcOGMGMVAhr/piZ1qeGYWKzIIEFXkQ+vPuUjYf6/EYud+uTyXTgW3Ba3DZ3f/PnvPc3fhHSSgXhsmGTlqB167fBrJiULDuqzC7akkoer+s+0vjnpzrFSZFm1y05bltozod5AmLnfoklH1vT9uvLoLr65NhebGDjsijaJMHd+f3lKQqDNdylg3W+sysOByjDSWGH8ng1hxomfNNntsQ8Sc+vCLfpEVoCgxn0sXgTPTV0feP9kXYP2HHCwubZq95HGNnPAhJmqW+CHc2muUuCUoihUqKFUIEvnJz13Np/BDRPmMDuD2YInzDI8YY4IkRPmLTxh5mSE6DHc6pxMmCtg/5ETgRjLWLwI1lcECfOjY/WEGW/x4wQzCTrCjCWnXFUyoiDMOrkmG+hshyHM+PPfF25CNIb5SlQWHa94mir9uRBmLnHPBN32NB4zJujOsVpd/NXLiQcNmyIGups2Ba4YaUuYTfq2pu/PFmGWkoVNtk3H6qpqcoT5oh5TRXUa2359sjJJmA8f54ubKNBdOypvid+zIcw4WZYS5s5jE9+1ZKv5ARMrfaiGP6eS23BOiQk211a9ZkMMsaIS1U/GkorSXKXA5fFQ/HhA4iHaRrko078NTJjb95lutBUVPGGW4QlzRMgXwkyTTwCCP2opi1kizFPXVLAayxtJ6ViTSgbe4scSZhI4wqwmvQffSUow5SVhtqwSFea7bnC40XH22jJb1gCpsnJXCIR5c6WeMLvEMNskW1I81RQrz5EQXB3SBB2BVLGd6n9J4xXD5SaLV/k4wswVyDE9hJm+X/L3XIuwGN14lBLCTOfCdCzemqcNJ56q8BacpOr6XQpYdeFoUxy7BLpAQOch/J4NYcY5BDTZTUnYle1ITXSlwEofql3cK1k0ShFml3nE5tqq12wKK2HC/EdS0hoTZi68BsNEmHGITVg/q47o47x1Yx8TZpMvUcITZhmeMEeEqAfhwi1V7I+UI3/4fSkpg4ubjMUTK8wcGd5ECPOBoyfhb2+XBgpX4Ia3+NUKs664wZVMAouKQ8PEyKZwCQZHmDOd9JdNwvytJyfDw++WGWWvJHsXCXGlw+cGC5f8qG+SMGNdYCNh/pQv2871hcbB20CNxVnrU5UHlJbtZc9MM9qRSkXH4kVQ2aSQoP7PdAwzDjfA8arqtbr6BqhvaAzIQerGFCWXHHQPCFKpaM432jiNXptzYXOsZBMTZrUSjXMkwnwXQLA6n0m3V4VJqEZDw/B7NoT5ldnJ3x/NM1CFh0zhUAAA40pTS93j37wq4+6SC2FzbdVrtw6ZZ7SHCfN9pKKeC2HmEtWlftuA7qLG4kVw12v6BG7d2Mfl38/tkr4+f6bgCbMMT5gjQtSDUOle0qYTqo/Fi6D7R6tZexJhnrJqD0uYJeLEKXLE4sEtfpUY9mHpLtYGQHI7HDeVdd+2x9Tm10ylsSmiIMx/f8cc85rud937hl3pVmrvd8P57O/XSYLK5X2TW4hqWzNx3WvYzyvQinz0hoVfW7fHTgcWQ1f1zLYiGoCsSxyLJzV41f+uK8ymVSlcMRKvJqrXlMLHNKQCoBtTNHyBwx/eXCL6a0pw0o3DMISZWz0euzS1EptkEyu1qIePnyIVHhs7HLD8pkmG7F+EMFO1HvyeDWHGykGUMKtS9vsN4woAYPyyVMKMd5XU7oVLTO3OA7XsOZxYtjtF8vF/DdX5AIKE+fevB/M98MO5tBumkGnCrB4m6PjWQTf26ZxaWaOXKowKnjDL8IQ5IkQ9CBeHJMy9P1nL2vucVDVTbdb6SpYwS7GsEmHGK5aKVNFqURi/fiX1aV9ldeNSra6EmSbrSOeMQjcx0hYFYXYpYII/J0lJ0apUOOYOv053FiikHQbOFg3rsYEKD+KqCKob8Yx16RFmpfOr/v/raLekP9MN+qXpye13nNikXlM7KTPX77XqAw7xkL5bR5h1/dWFRsTiCSUDV7v1RMLrc2Eu+csofhcAK7XYhBj0KUoNKeOAV5hNsoQ0yXngtPQIM96+p+oQKtmaq9BJ8e6SHdrroBKmXQsgSddXJd+q/2+3UJfAhJkmSAcIs6FYEKcUJfU5rJ/pEGb8EBSLJ8Ib8wGeMMvwhDkiRD0Il2w9wP5IdZWdYvEi2FAhk5Rni1PJzox1e1nCLG0PSoT5h4iADWj6no9XlLM2AABuZwiziiu84KnkqpYN2cXgCLMN6dZNjC4ExAY29sPGIEqgMeztevOEmRaNoODGEP5e/JopvIODIj9YvUXh4l6fQixuLiEMIMusxeLJpDL1v80DkMv17zI+qbmLV9HUayqjH6sA6MJCaJUyDmEJM9WnpQ0/vNraxdJmulLK/afwYwnPPWpV0LRi2p3MYRxwDLNJVQEXGonFi2AgkW/D79kQZvzA+oOenwbeU1JxpkREAIDRC7ex50ypfqjdDZtYY8kf3D74bGegEqiNfjEmzFSzHu90SuFjCvlAmKmM34qdh5r/poR5VJoFrTIFT5hleMLchPvuuw++9KUvwX/8x380t40bk6sChw8fhrvuugvOOOMM+PrXvw7PPPOMk/18IcxcTK/txMFlpk9buxe6TUwlzJIer0SYMQFTEkq4iiAFF0/2q6btvvNQZn4mCPOA4vVQvLpCuw2Lj9fFg7pO0BQ0llhqP9HEbOr6rkPvT5Irce16J+OAXfzC8lj0c3S10iYmU7J/46A5cMPAOc3XbOv+o812ufhmCh1hVmNb/W9SqMDH2pwnpfRByZF6TZE1vOWsCwuhmsUcwhJmuhpMWxjCjFfED2r0jvtN5scSHje2K6bPfLLW2C+skmECLdRE9Y7xezaV/kYhoot34wCSkm2mREQASKkup5pSNVIVFG8ZnBnCPK50V2DecCXMtKIefnCnDw4U+UCYVbiMamqOu/752bC9KjEnqdLirkW2sgVPmGV4wtyE++67Dx577DHx/XvvvRc6duwIhw4dgo0bN0KbNm1g1KhR1vajHoRLt/GEmdMlVu9dYCg1ym2/Tl1TwRJmqUSyTJiTBExNsMWr5S0qXGyDTnz4/0wQZtX6Tl4nfg4fR1f0XAiICSa7qv14wEyzMUi9qeiAV7k4wozj0CX0FUgOQCr5MlUN5DCArGAryaxlOw42vzbLgqBgwoyz6WPxZIiA+p9KX3F4Z/H2gA1dZTG8OnnpM6nnWRFmnNir64OKS23fZ7oY53pfSMKsk3eLxcMRZltpMy6UAl8fgOSKqYkAUvLN4eMV9oQZawnH4okSzzipC79nQ5hxGXmawHhDUwVLm0IjNLRKNaVIc/DoSYjFi+CXFsl5GNL1/ZASZouS0pgw0xAOF8LM1SKQ+hzWT1N57l8MnpfyPSfrGpp/w8dP1cPEssT8YqrWGRU8YZbhCXMTdIS5trYWvvzlL8Py5cntwRdeeAGuvfZaa/tRD8LPQhBmm2245WhLKRYvgk9WlrOEmWqhKuw6yCeIYGKgbjbTNMlZtJwznpDw/zaScBhc1UOb8yP1QdKhDZsRrSMftNESwRT0WppuHPhmexlD5K7TSHcp9P6EJzkAqbG2Jk1nDjSpUBVzwITZhqDgXQLsYyyeTGx0veFSnyUJR5wwhs/zR8t3w4iSz5v/x7tIOsWAw02rrB01q6xhCfMphjDjh+Lvp0GYTWFFdFWYGze2BJA+aHFwkSHjQo/wtcOv24xH/MBFw0uuf2E2xOLmREQAOSSjdHtCku5A0/myUbPAkK7v+GW7Ag82v7UgzDg8hiYJ4pAMLIfHIQrCbPosLuYlHTtmcTKuPB+UMjxhluEJcxPuu+8+OPvss+Hss8+GCy+8EF5++eXm98rKyuALX/gCNDQkV4VmzZoFZ511lrX9qAdh6XaeMHPbPuo9m1UFXGkpFk+sAnHfoyNre6qPBZQs6OSnJkxdrOlvLQkzpzutg44w6wiHOuaOYQsC/+N4atzenL/VqV/0e2yaKW5TrWzYTv64oMwlvVJDBXRKBAqSXBtAaqwtrRZpA6rzPL+pXHAZIsw2MaM6wqySEV1vuLY3W6zhS4tUYJRuP2jVB5tt9rCEmVbcU/rctzZVjwxDmG2lzegqrmqYMFcdOQGxeBHcNlSvzkCTUTng34sJXIEetWJOd+psCDNN1sP4yfMJwmxKRAQAeHvRdvacqQfL/Zbni0K6vhPKgoRZUuHBwISZEncsK3dJnhBm3b2OxjBzwGF2RSvlMMSo4AmzDE+Ym7Bs2TLYt28f1NfXQ0lJCfzXf/0XjBw5EgAASkpK4MwzzwwcX1ZWBl/84hdFez179oTWrVs3t1atoj3V9Gaq2qBpMmE2yUcBAGyoqGHt0saVoMVo13ta4HicwNF14irjjSRfCbMqIKH+v3/kUrjrtUXwHrnh4cqGLrA597hJqhcAwVK/NjcOvGp2cUjC/Lvh8nWjsk02Wf8UWGEiFi+CuU3kGBPmuRaEGcf0AgDc+0by/3V7DjcTC5cbruQ3BR6DukSgFWSHQILNKqsp7l4ClsCLxYtgb5NGtSLMF3af6mz3iKW0Gd66xw0ni+6rSVynXxnkzOiKMAclyWaj9IAl/6hdGnpk8wBHS1rjHTyX8s54NRM3RZjV+bKRf8OQru/Est1pEWb6kIfj9i816KlzxbukPqfjp64i6c9fnGv8Hpz81+PjNdZ9yRY8YZbhCbOAfv36wS233AIALXOFGW9B40aztQGSk4BNQoYtYTYVzqAamVgNQKkElGySbyQ64oX/50qB60ALDuBmQ5i7TlwV+B/Hlm5C2eK4UIsNdh6ohcrDx43nnTbdKi0ufGFz49hTfaz5OC4Z7fo0CbNK0OowcI5Rq1jCkJlBwqzilTFh1o0rBUqYcZLpmvJquHvEoub/bWMPJb8psBa4Dni1TXesWmW9VbNquA0lRdr2EyA1Jl1BEea23afCt56c7GTXNlFPqh6qQmY2V9Y067WbSK5NDLMq+mGTnNXY2AjFq/ekxAwDAMQ/DCpo2BDmsaRCn9o5AQC4+tmZxrGiQB/cVVvQZE/NMTaLJxjS9f1oeZAwU9ULDvi60jFwfdNqeixuLkDEEWYctmI772E8/G6qTv8yTYXFGwfNMX4PJsxPTuALh0UJT5hleMIs4Nlnn4Wbb74ZAJIxzCtWJGMOBw4cCNdcc421vXwhzM9PzRxh1hUlUCtNOuDjcQym0jBVGp4c7hy+iP1eateVMGOFAtp0W8T0/Kr/aaUq9bpuq11n37Xpin9MZRIwXfqhEoXU/zaEmVM3Ud8bNkMfg5bwVprLOF573iZ5XCncRwgz9bstWjnV6YVjSH5T4FVZHajUnwTbVUPdOJJAf4cKSh2gbfepcKj2JGyu5HXcOdhKm6mdKNoUYVYrr7G4OdmMJhByUKSVlrnWYTJ5KOVk+GwIM63Qhx/6bH+7APLOo9p12dtEmG1W0TGkcfPxivLAQ5UrYcZzLj13YQgzzmlxmfcUqBRcLF4EpdsPiMerkMVVu6pFjXpcwOTxcXxeQ5TwhFmGJ8xNGDt2LNTU1EBjYyMsXLgQvvGNb8Drr7/e/P4999wDt9xyC1RXV8OmTZvgm9/8Zl6rZJQJhDkWDyafAIQnzD9BT/u0VToSZlygQcVwLv68SvwsVS6QyI1rHKx0EzZNrJQ8qf+p8H6YSdpUHELXlFwUhxnrUreNTcDHqlVy9b8NYf5fpkKj+t6wCUcYr84Jyu6pAiY4fAGvzknQEeYVOw8FYvAnafTCMejKonS+ba8H1rfVHWtLgqQQB51tWnFT4ZeKMPdI1ZE22bV9cKLSbaopYqLkumJxcygATSDkkq9UWIRLMSS6i6PGOG41FvrJtEKfItm7Dx3TnksOXLiI2olRu0g29wIMadxMIoTZVEoaIJiwjpVSaMhWz0n68AWOMHO5Fy7nbhSTNKmUeDiohEydKg4uStPp3bJQcpqZhCfMMjxhbsI111wDZ555Jnz1q1+F733vezB48ODA+4cPH4Y777wTvvrVr8LXvvY16NWrl5P9qAchXlGjqxx0glCv2UySKuP+h32mQ7ve08WJUhc7S783Fg/qWSppt8+2yRMRQHLljPoVZiJU0JEGnT31voojVFrQNCs8TN9MxSF07b0lO0S7szdUWvungEmKkpFT/1O5Kw6/JLqk+HtVXLBr/CQGXQFSBUxW7kr+HhZYEGYcs4x9jMUTW7B4hfmIhf4tAD+2ONhejy2k+qYEFxK0uZIPuZIgHaeu80UhCLOtsoW0G6SSMs9HoSB3j9ATNXptuAQ6Fc7gIlWJqwPG4kWBsCyXeYAm6Kr8DrxibAuqRhOLJ8vFKwJuI/+GIc0/n6wsD4S72BBmgOQuA55TqJ64SXYSyy6q9kOhQqktOMK8SLOwoxaV6jXx5Zw2tk0iaLbgCbMMT5gjQtSDEK+oAegLJ6jXbFcV9h85YdQalvReue+NxYMa0CpOTBcbxtngfHWFJHtmsndlvxlwXpfk+2p1i8YCYlvHTpploACC0l0069qmcdAlJemAV8zCEOaOQv8BwsdPYuDVmlg8mXWOCbPNFriOMJduPxBQf7BFpgkzjjvWFVBQJMhG0ot+v6kf0nFKfzYMYW6OuTYQZlpNTzVVrRS/9vvXF2tt0Up/nKaxSphzkaosXh0Me1q1Kxh3PnLBNis7dEdNFd9Z9HmV9lxy4LSzVVlmJftpk5yHIc09RSv3BFaYTQ8uCmqR4FokVUlXmCXpUgWOMOOiL+o1lx2tkQtSCbMudPDa5xJhQTq5OE4bu9ektdZ9yjQ8YZbhCXNEyDfCXHsyuSqmXlOSaLbQkTTXFeZvPzW5+XWVJLRCk30s9YG+5gqp3K7J3hX9ZsC3nkz6oGJpxy/bFTgOVwsz6SQrYOkuKQbYtc+u/ilgAkAJs83nVVUy7nvDbgdj0BuaKq+OicrYz3Ya7agHA1WhDdtcsvVAIH7fFhxh/tNbSwMr1JTM6KAqhcXiwaRZip0HEiTIJn4UIPeE2VbaTOU60MYR5nvfWKK1RUOx8PyooCTZXPIiaKEmqn1uC6poo2LzceEhW3A7VqqqqupfpkpjT161J7AI8a5mx4uzefWzM2Fz5RE4Vd+QEmIRhjBf0S+VMJsUVDC41WBdTsSPB5gTMjkS3vsTT5jzEZ4wR4RcJv0BpE5obXtMheufnx1QXnDdhpOKh8TiRVBZ4xbDfD4im+q11burnWxwvrriA5KNbnODxzqaGNwqO9axtk38s6kc6Npnl2MxMAEIQ5glZQOA5PZlOjHMo4nOrIopdyXMAImVTrUyhG0u3FIV0Ne2hRTug6UPVVU+G9uYMH//6WKYsmpPoMqdwo6qBGG2Xd1zGRf4GBzLecvgxE4Cp6ZisltZk5iTTKE5kqKNitvHr5kIM12tPszEFavt+OFz7Qkz3cmh+vi2wA/asXgRXN43EVqwIARh5nIiVBy+irl1nTslJZQpq/YE9LJdCnNgm5x+u2nBAa++q4bVidRrLvc9uoMVi+tlKq/qPzOw88iBC/PQVZXNNjxhluEJc0SIehDi7VoAmSDhFVXbLVuFvRqZM9ekPzypqNd0Cg8KNCaW2nVFfUMjjF60Ha7sN8P6Bu/6fa7HUxLl2kx9cOnPdEQAaNKfzeePnawPlBjmrlt7FGfoCpr092FpYoUfS7B9YEmYMbDNBZv3B+JjbSERZixTpiTVbGxjwqz7zNamucAUlsD5auqHdIyqcMbpdZvsVlTbheZ0Hstrpqt5w2VsU/31g0dPir66aOVOJ4QZV2d0GTvSb6Zk075Qcx21RZOVXe1JiknFq/cEwl1cIBV9Us2k9W9LmGlitg6cSsYsTbzxlf1mBBaDOHCEud8UT5jzEZ4wR4RcDMLi1RVQ1hQHLE06eLvMdstWQafeUFHtRpjVZIq33TYKMjwYlYePB0oJU7thcfsrsvyZwtrywwFtYtvv+82whU7HUxKlGi4Tq2u29mz6M2t9MlEwDGFW4L5X/W1TYlsCDalRq8mYMNuuMEv9Ldm0L7D6ZQsaJ6ta949WNx9DC4HoYEuYlRza1c/aaX+7jAvpGEWYsSoBLVsu2VWJbA++s0zbz38KRYbCEOaHxiwLHNunaC1868nJcPO/S2B3EzFT77nsgFAlGhomYAupKuecjZkhzOOaHizDzp3f7cZXdCxeXQFPoURhF+hkS2Nxs9Y/R5h/PCCVMFPpTx04wixVpFUPfqYVZpq8G4sXwbPF6637lGl4wizDE+aIkOtBKE06eNXLNoPZxi4XA2j6LM2CxhW7TDi3S3oEjsJEmI8Iq742wMU7bEBJFP7sn0fxpaZxm7Y2OKHrjjUBK2tc1X9mSjykLej30oI4YUELaSiVEEyY319qH0fJ9ReTFJe+SoQZ2zhUe9La9kFGooz7jGtfXcaFdAxHmBsaGlNIDAe1atpl/EptPx95L7WIRCyelJJ0GduSTGUsXgT/fH95wJ7LPDlzfZAwzyflmm3xIdFhVp+d1fR77DZxtcFCENTW2KU7U153wQVdeXI7dU1FcyEqV5umsuphVphxEqF67f6RS6379NrcVMIci/NKOTcMnGPtN7XH1UuICrnmKvkMT5gjQq4HoSRYj5/+XbamFDibtkSXfo6WESiBXgAAIABJREFUG3bRozz/ycmhYmol/NpAmOnKssv34SpxNtARIyUZiOMEaVPlugFkom/bn7mELFKJKlvo+pDOdaN6uu8s3g4AQZWMMYvTI8x4ld2lr90mmgkz1ukdbFEgY8HmVK3ZSSvKobr2FNw5fFGovnL9+2g5X5xFsq3UUDBhBgCrkuK2JLATU3UtFk9UYuT80EG3W/bwu2UBe7h6pwmziHRj2IctWukvFk9IWKokXLxLYQNqa8ziHYEdAJysGcaeatPW7g0kZ7oAa51zzRTDvJghzD9BSj7qtQdG219PGvKlmgr9wnC5ztQerchbtuMgDJ212SkGPCxyzVXyGZ4wR4RcD8I15dXayScWt49xxODsnKyTRdp1n6U30x1VdioSAIl4N5UIE+aGREELMlB75YfCE+bfv77Y6fiqI6l60/izuw8d097wH0KEWclGSc0EWtKcJiTawjQWw4I+OKjtc6waM3rRdme72CaNS7XFU0KhDWwD/wZsJcc4ewOnbQx9Xl2uifS+kj+8lFRjow9/HFSinClW+EESRqFaGMIMkFQ0oO2vo0sDMc6d3rUrhQ6QqnVOQytswZW0xuoKLnHVAKnnhibLSg9ItvbS/a0AAFzc61PtHGFSyeAIMy6upF4zhf5gDBMI87gME+ZB0zay7+sk7DKFXHOVfIYnzBEh14OQVgXjWhjCzG0z60TaMejnVHa8arayawAAF/WY2lxVTGV6Kw3eMNBVpAMIVthyvSFQjV8T6HmRPqu7tqqMtVJMkJoJdEXTRdUBQyInYW6sGNx4BAhWvkx3hfmV2VtC9RVvTUv+4mudTsntZ4t5ecSw9qTPSu8rwkzLF6sqfjqbqtiHSVrr7++Usv1U6jquvivNXFNzIcx0RTnsOOcIM1YpenLCKmtbAKnnhmoBu86dXFW9WLwIfopUN1x/15c9M0177kwLKhxhxnJ56jUl0WcDJRdKG5cX8T0HrXZqj5ZfV68r+b9sItdcJZ/hCXNEyPUg3FyZmlhA2z0G6SUOnNal7bYR/ZxKklDNFKOGcVX/mXBul8Q2pbpZc9JQtpAI86HaRPZ8OoSZll02gW6rS581XV8AOVEsFi+CawaYk+1oXOBL0zc1//2XUfZbm/WG6oVhwZU2BwiGJNkWjMHgMtld+yoV2sA2sMzjiTq7fnL2BuSYMP/8xYTeNiXMNiogSkLNpBTw19F6wqziqG19V7KGpoZ3bEygIUxhxw433+CHzn+8Z0/iAVKv8etELk1VyHSB9JAW9nfdvo9cSTYWL4JthpA9rBSFm1o9/1HfGc59GjpLIMxLUwnzJWiF3ARqj4ZjqdfTWQSyRa65Sj7DE+aIkOtBuFWYPHBzyRZWoDJJ5xoygjHo9z8wOpjAttuBMKsb9JETdXBV/8SNJAwxUpAI84SyxNabFNpgA1fCfL6gcUphc7OSbiKxuN3OAL3eYYmEqb9h8SQT9gAAAf3bMOCSrlzt/UvQDcY21EOjSxEhzl4UhFmX8Pm3txNklhahodXaKCqqj8N1TSu9psSnvwgJr//78nzYdbA2RSfehOuzQJix7Fu64/zg0ZPN+taxeFFgBfbPDg+rAMEk2Fi8KKAlH4unJgrb4MiJOlFnPRYPlqW2gSK0UuM0xymkZE4AgMv7TrfWwleQCHPnscsDx9EEdhOoPVp+Xb3+ycpyp/6GQa65Sj7DE+aIkOtBaNqKj8WL4A8hCPNn24IEyqQ5iWHqj0tIhlpNwqtOtrHUHG4byhNmpeGrqqeFuQH+wZEw295sTecTAOBzRsIoFi+Cv71datUXer3DEglTf8Oi/NAx6ICy05WtpU39VooHrhi/LH3C/OhYmTDPbtJyVbHxLsUUOHvPTc0+YdZJpB04ehKeLV4Pe4keO415X7ilKvA+1lWncZwUuJgFfRi5dej8QOKuTRjF9S/YEeYHHcY5jWFOd5xj9Z6LUFKcSyIiQLB6aCyeGmYkSaXZ4PK+/Mrwqw4VEgGgeeFDalz5cgpJwx4gsYL9na5uhJkWnpGuJb1/mEBt4WJG+H1VYCabyDVXyWd4whwRcj0ITclesXiiTK8rqPrGBQ4TkKk/LoSZFjCJxRPhGWEhEWYlU2argcvBhTDrkjUpTOfzo+W7Wc3PWJxPWuEgqa3E4vlBmDnbAMkKhXQlyBaZIMy0OAZuqjS8+p3+bnj+EeZrn5sVqL4ZxjZVVaGfw7spJpWQP721tPlYGlvfrvd0uBX9hp+yiPGlD1pSc0kSo0lv6Y5zrOHetnt4wgwQvH5DZm4K/D9bU4zDhGsG8LHgLiXFaf+4ucwGUpVUAIB2vafBd7sVO/sn7dbq+u7qK324cPU7HeSaq+QzPGGOCLkehJIMGm4uepQKdGvPZQIy9aeu3n6FmEsiSwe3CoT57SaFBWml1gZ/RDd6HaTvkD5rc7PfXMknf74293OrvuPkOdpckqFM/U0X1Jb627X8u0ImQjL+IegGx+JJwqx2LlyKCHFhKM9PTS0SYttX3XXhZLlcbNfV6wnzt59KEma6ykaBHzzpane73tMD4Qs2SXE3DrIjzLa7MQAAU5pkHzM1zn+LwkywTnG6hJmGfemq15lwg/DgMaLEbo7h+kfbFIfktwVb9qfI8uGY7TAwXUvX62yaj9XrnjDnFp4wR4RcD8JKTRnrdCZdutJ6YXd7/U5Tf1yQiZsRxq3MinUsXgS3DZ0PACASTxvYEuZpjqtTNjf7TYJaynNT7SpLYT1j2h5uAYRZSQ+6gqu0FosXwdMO+rc6lQzVTxU6dfcIe8LMJTpmizD/oKdc6toGnPwhBibMpoc4VaW040slKcmo7ftMb85riMWLoMt4M2G+YxivvU6bC2HmSlqnM87vHJ7UcMfFQsIsduj6NT1EDLMCflDB7a35WzPWP9ekRN28FQYmO67fQY9/fd5W9n1b5Zx0kGuuks/whDki5HoQUo1jrrkmjgCkViZr6yB4b+qPCzI1ESpwIR7YLq1M5/KdeCt5XOkuMfPZdTvX5mYv9bvfZL0igQLdUcDtkTQz9TN17aht/L9r4pGCtLXrsmq2r0b/GwRIJmW6SDxyUnpcGWrb86rr4/efLhaPs4Xuc5gwvzFPT7COnqiDYXO2wN7Dx1kJsR8ilQVT1UAAvYIMbn8dbU+YdTsTYcb5Xa8lCTMuzx6GMH++70iKkohqiz6vMhsQIGnYu+qf685b8eoKJ1u6eSsMTHbw61PXmPtKbb05nyfM45fZhc6lg1xzlXyGJ8wRIdeDUKoWh5tLxSMMbONiUtnL9nPpTmSZmggVdIT5RF19cxJZmO+8f+RSq89lgzCvrzjMvt5rkl7zVkH6fCyevrRVpq4dQLBsMv6u9iEJMwAvzUhXgkww+TwaydfZ4jFGfSNbhDkWT8g/0qQxl/7qPocJ86iF26xtSr9H1eIfmgkzQLAKZybmyfeXpuonpzPOpf6FIcwAAP2mrGPt1Z5MLfVsC7wKjpvK/7CF7rzZkFAMl1yQsH3DMpDp/uZo0SL1OldRMNPINVfJZ3jCHBFyPQirj53STkCxeBF8HDIDF9uguqs6PCyUtg0zkWVqIlT4xWCZMH+3W3FafebIOLe6P2Nd5gnz2nKe8NqGFkhJg7G4O2HGSUuZvHYAwRUlgOS5adc7HcKcujqfacKMx5YtuPE4MIuE+fFxKwLhAK791X0OE+YnxtmRXAC9eovqcybsxOJueuO0gh5urgoNAMEVZtzCEuZ01H4kYNlM3D5ginvooLsGnzoSZl0+SBhwdt5FDwTp/uZGk4dF9bptcnY6yDVXyWd4whwRcj0IjwjyOpmYJLENlxW8E3X12iSysH3IxKSP4/BMq0Su3ylVucM4Vd9gTEKyOQe0SSsttpJPOnlCV8k2qbx4utcOIDnef9DzUziMimWEjWEG4FfXXaWyTNczzDngKqJlkzBLah9hz4H0ngsxNenM2xJmm3nSRv9X4Q1SEAS3uRv3WdtRkAhzGIUjBS4sIx1QPX3VXONvddfAVSf68HF5wSgMODs45t7VPl3pp+Er6nWuomCmkWuuks/whDki5HoQUiF12q5/YXZo29hOGEKSiYks06TrmaaEok7vlkHRSn2mu+t3Dpq20fhZrhSu6bsuNZSSjcWL2Fi+tt2nWmmaAujVVsJoHP9QqOaVLnCBjPO6JO1e0W9GaJvcuXNNZOIULbDPYc7Blf30BR5cbUpb6qphLeAw/dV9Dr/+93fsY4U5u7j96wM7wmyaJ13j9HVEnmpQ2yAbhJlTBEoH0s6ha9EN3XVwqQJrshcGnB2VEE7fD2NTWmHmKgpmGrnmKvkMT5gjQq4HIRdziFuHgXNC28aZ4FeGICSZmMgyTbqOn6qHj1eUw5ETdTDZIA3l+p2vzf3c+FmpopTuu3RV/FRbtSuV9L08e3OKLQm65NHOIQgzV+Tgl0PmOduhkJL0ruo/M7RNWtY5FrcrnoBhSj4KM35tK9TZhqOYypbTdkHXKbCjyl4znX7+ZF0DzNm4L2WOcpUp/A4TJqLaY5aEWRo3rnYwak/WsWEKpxxkMxWkh5l0CDP3AJQOpD66JupJ1yDsLlE6c7atrQVb9qe8bwtc2OiV2VugsTFZR0C9/v5StzjwMMg1V8lneMIcEXI9CDn9U9zCSMopzEdFA65+1p2QZGIiy9REyMGkpapa1ZETVvZokQXVao6faj7GRJi5lVJOsos2Tl7JpHeLoYuFD1MUpD2zwjzQUOHNBtID4o8HhCfMAMFx5iKhqCDFkKvxGmb82sqhrSmvNhtj/DQ1F9UIznbfyYnt6B4frwm87rpj0a43v1sRixfBo2PtiG5jY2NA9pE2G3k6Dve+ESTMPT5eE8rO74YvZPsVNoYZIKjtnIm5U1oFd5Wqk67BLYNLQvULywym66vUN5XDE9b+q3OSFRfxfKpeG7PYE+ZcwhPmiJDrQWgiU/tq7Mgeh3mbkgTwmgGznD+vIxDp2MgUilfbEeZ6h8qCjzBFLHDcmokwS2W/TX1cvjOVMLtU4NLtVIQhzLRgQixuLolsg1PCA2ImCXOYKmGSrJ8ar2HGry1hpmWqbf00tXQJsypJfQUJLbEluQq60tauY/M3DImMxd0SETHuIYTZVpWGgiO3sbhbvDdFpufOl2fzc5dr9UDpWv5icLgdKEmLOQx0vwf6vgteJzHv9PtoqEY2kGuuks/whDki5MMgNP3IwwIT5mufOx0Jc4UVccBbaCbglQTVsIa1dNOJxfVEzdRHrhhKphLXXAmOZCsThFkKKwizAyL1N4zKgVQ4JhZPZMCHGb+4XLKu7am2j/u8e8Qi+NNbS2EUkrmTmithfproRqvkVrrb4FptTipnH4u7hwtJK7mu5d8Vfv/64oCd3p+EI8zSw5FLMRWKTM+dL03fxNpcsvVA2v2KxcOHbEm7rGGg+z3Q913w5nw9Yab6zNlAPnCVfIUnzBEhHwah6UceFiWb9jXbwaVz0+2XCzjZoExh6ho7wuwCrjobtqFbLbtIUxzG1Ecufnr4XDfCLGWcu2qjSv0dPGOTsx0KaUclnRhmgKCu7gVPuRNmnSwfjee2hbQaiptLqW0MU+5DLO5OmAGC111tlf9Ptymh/FegpBQ31/AOSRrNtZqlwgqys2NbKIhCeigIS+QBANr1DiYLb9xbE9oWAIga4A0OO3AAAN0mphbkicWL4NY0chyoLZcCQRi6XccG8rDugreJDCHtt6n6ZSaQD1wlX+EJc0TIh0Gou+mlA0yYw6htSPJprsCfDRvnxkGnDBG2v08JagkAAKXbZam9WLwILtEUhzH1cURJKmEOMwlnagxxdqqPnTJ/MKTtMEmpGOOXhVsFVtARZtyGzLR/aLAhzKXb3Vb3MEy2wxQ8wp/PVGzp/SN5ObNY3F0jXLIVJrFVAZdX7z/FrhQ9haQP76regUEJrhTuZQupGEoYcCojP82QolMsXgSbQj4c6CQxceLouV3c/B67dGfKuMVShy75JmGRD1wlX+EJc0TIh0Gou+mlgwOoiuCNg9zVNqpr+RVLV+DEmv2WCXi2sCE5LpD0WQHMSYY6tQNTH7kVZpfyzrrvCYNMj0WT7XRlmbAiTJi+0mqBkqJApUO8sRTXilvZjoPOfVUw2U6XMGdqTtKVobbVYVb46+hS1k4YlQyFCWXJ/j03NRxh7vgSX8o6HSKPQygu7zvdKbSMQ69JazP2u5YWK8KC2rFN1KaQCr7E4kWBxGjX3x1+qFJNJcXG4u7VEsMgH7hKvsIT5oiQD4MwkzcnyXYmymun06fKGnui4YJM3+ClrW4AMMrY6WSVTH3kYqMLhTD/MI2y2Ap0K9YVNIa5dHv4EusKNoR55a5Dzn1VMNnOJGHGSheukMJw7nptkVPCIwDAQ2OWsba6TbSriMkB704MnWUv5Ygh7cbZ6kxzwIQ5nZLYCt0/Sg2laBtCUQYA4CBajMnEHEHtuCRqY+gKONEqoy4YuSA1Z+DZ4vUZnxt1yAeukq/whDki5MMgzBTZ09l+aXq4+NNsEqdMwEQawvRXsiER5p806e3qwgpMfRzIFE1xLe+s63uu7NjYPnD0ZNo2cbnyMNrlVCVj4ZaqtM8BJsxPjFvJ2luxs2UQZtWWbgsXQsKFp4SBFDIVlugCBFfAXTWJFaTchjD5AwqYMGcCe6qPQYeBQWK/ere9pCGGVEgmLGhVw7AwVZYMa1+K/47ynpgPXCVf4QlzRMiHQSj9CH/18nzzhy1tu2pt6vqWT8jG5CjZkAizKqmtk0a7cdAc+PmLc+FEXT17s+k3OTW+cOv+o2n3fVnILX8VRvOjvjMyNhalPmYCczaieP0QCa60vPZcZC9sX7Giw7tChchMxDD/cggfPxtG0sxUbCVsfznpsDDgCvT88/3laa3A4hXm+Zv3h7IhxQenE0bx7xmZJcwK+OE8LGgCXbr2cHzxDWkU66qsOW68H4SpbfDBZzu1NqNAPnCVfIUnzA44deoUPPTQQ3D22WfD2WefDZ06dYK6OrsJNB8GIfcD3Li3xrlaGYfHx62Aq/rPDH1DaSmEefAMXjIpCsKsSiBfp5Hua2xsZCtEqcZtl4ZBpq7V0RN1sGDzfmhoaITjp+qdM+mj6CPGgi1JCcUwiht0hXk6I/MXljCf2yURM8nZUxXIwuAPTYoREhkPQ5h3a5KmYvFwpY8BANaUp1ZSDAsaP5suJqH499Lt4R4wT9Y1pOQ4hNUlVlBjJp3iJxIyce4yfW9o231qRs7bpBXlsHp3NXQZz+/qhFFCMRUYiwL5wFXyFZ4wO6B79+5w2WWXQUVFBezZswcuvvhi6NWrl9Vn82EQZvsHmA7ZaSmEGW/JR02Y52zcB996cjLM22RPfqgNbss+DPL5Wilko49LtyVjjsOsUDU0NAYSyjjJwicnuFWTU4mDKiNfGjth0dDQCDXHTwVW19MlzADBUsCZulZc6fd0kMnxg6/12vLDoe1g1YRYvAjuGLYg7b7tPnQM6kKU6jYhG4Q5HQk9AICLeiQIc8eXMqOkVHmYX20Oq7XtCXP+whNmB5xzzjkwceLE5v8//PBD+OY3v2n12XwYhOpHh7U88wX5TpjvfWMJtO8zXdwizBRhbmxsFAkzADhvvf5bsyKeznm+AcUoZiKZLhvIxnjCkn8bKsLr1X7w2U64c/giOFFXDw+SBLNpjmFNWGkDANjQiZ0HakP3VQHLR+LWN6SmsK76aFjgLfd8I8yzNlQ22woTBqVA56CJZbvT7lu28MrsLfDO4u3mAzXAhPSml0rS3hG9qr85tM0FJ+v4VeGw1Rz7MmFznjDnBzxhtsTBgwehVatWsG3btubXtm7dCq1atYLqanNCQz4MQvWjw2WZ8wWqP13Gr4RB0zbC3DRWxLIFRVZpRbJMEuZYvAgu7vVpymthimSYvicWL4JvPzU5lM0dVbXQ4+M1UFlzHE5lYWUqE8jGzWY2Ij2ZApXhwiXSXT5/+yuJlcYNFTWBYhRhizNQzN+8P+WcXth9Khw9ET6ulxuT976xJK1+YpWC+IfhSllz/UsX21Ci2L6a9GQvoyZRuYYiuWEUfSh6fLwGYvH0pPgoBiAlC9V6TloT2l7/Kan2PGHOPTxhtsTOnTuhVatWcOhQMttckehdu3alHN+zZ09o3bp1c2vVKven+sExy+Cml0pg5a5DcHGvT9N+8s8ken+yFtr3mQ7HTqYfT51tjF26E/6n2xQYOmszXNJEbl0riQEky9y+s3i7WPlPtXSy4IfMlFeZZzuWH25JwJnsYcvpUtQcPwVXPzsztBoMhyqSYOYqjVh7sg7emLc1RXv8g892wmMfrEhbV1fhRF09XPBUsBpfuqt9RSv3NJN9ZTMT/Z2/eT+MX7Yr7f6pCn3vZkj/tuekNfD0R+Gl6RTmb94P7ftMh3Glqfee0xHlh47BW/O3pl1UBSCxCzGhbBfUHM9MgSSFTXtr4O4Ryd2e7VXhdxEAEg++uKiPa6n4sPCEWUbuWVwLgSLH27cnSWZLW2EGSK6SZuommknkY58k4POYTr/xZxsbG6GhIdm4Y9KBsq/63JLOd1hkw89snbeWcj2yNX5aiv8eHia05LGcL1wlH+EJswPOOecc+Oijj5r/Hz9+PLRp08bqs34Qenh4eHh4eOQzPFeR4QmzA55++mlo164dVFRUQEVFBVx66aUtSiXDw8PDw8PDw0OC5yoyPGF2wKlTp+DBBx+Es846C8466yx46KGHWpQOs4eHh4eHh4eHBM9VZHjCHBH8IPTw8PDw8PDIZ3iuIsMT5ojgB6GHh4eHh4dHPsNzFRmeMEcEPwg9PDw8PDw88hmeq8jwhDki+EHo4eHh4eHhkc/wXEWGJ8wRwQ9CDw8PDw8Pj3yG5yoyPGGOCH4Qenh4eHh4eOQzPFeR4QlzRPCD0MPDw8PDwyOf4bmKDE+YI4IfhB4eHh4eHh75DM9VZHjCHBH8IPTw8PDw8PDIZ3iuIsMT5ojgB6GHh4eHh4dHPsNzFRmeMEcEPwg9PDw8PDw88hmeq8jwhDkitGrVClq3bu1bllohn1/ve+774X33vnvfve+nQ2vVytNCCf7MeJwWaN26cJ+Kve+FCe97YcL77uGRG3jC7HFaoJAnUu97YcL7Xpjwvnt45AaeMHucFijkidT7XpjwvhcmvO8eHrmBJ8wepwV69uyZ6y7kDN73woT3vTDhfffwyA08Yfbw8PDw8PDw8PDQwBNmDw8PDw8PDw8PDw08Yfbw8PDw8PDw8PDQwBNmDw8PDw8PDw8PDw08Yfbw8PDw8PDw8PDQwBNmDw8PDw8PDw8PDw08Yfbw8PDw8PDw8PDQwBNmj4JEQ0NDrruQM3jfCxeF7L/3vTBRyL57ZBaeMHsULBoaGqCxsTHX3cgJvO+F6TtAYfvvffe+e3iEhSfMHgWFV199FR599FGoqqpqfq2+vj6HPYoO3vfC9B2gsP33vnvfFQrFd4/swBNmj4JBVVUVnHHGGdC+fXu44oor4JVXXgm8fzpv3XnfC9N3gML23/vufS803z2yB0+YPQoGL7/8Mtxyyy0wd+5c6N+/P1x99dXws5/9DIqLi5uPefPNN2H+/Pk57GV24H0vTN8BCtt/77v3vdB898gePGH2KAg0NjbC7Nmz4aOPPgIAgKNHj8Ls2bPhn//8J1x66aVw//33w9KlS+ELX/gClJSU5Li3mYX3vTB9Byhs/73v3neAwvLdI7vwhNmjoHDgwIHA/xUVFfDBBx/AX/7yF2jdujX87ne/y1HPsg/vexKF5DtAYfvvfU/C+14YvntkB54wexQEDh48GPifxrCNGzcOvvSlLwUSRE4XeN+TKCTfAQrbf+97Et73JE5n3z2yC0+YPU57PPXUU/Db3/4W2rdvD6tWrWp+vaGhoXkyveOOO+CRRx7JVRezBu97YfoOUNj+e9+974Xmu0f24Qmzx2mNRx55BDp06ABjxoyB6667Drp16wb79++HLVu2NB9z7NgxmDNnTg57mR143wvTd4DC9t/77n0vNN89ooEnzB6nLXbs2AFnn302VFZWAgBAu3btoG3btjBkyBBo3bo13HrrrXDixIkc9zI78L4Xpu8Ahe2/9937DlBYvntEB0+YPU5b9OnTBzp37gwAALNmzYLWrVvD9u3bAQBg79690KZNG+jbt28uu5g1eN8L03eAwvbf++59LzTfPaKDJ8wepyUaGxuhtLQUdu7cCQAAU6ZMgffffx8AEttyAADxeBw6dep02onYe98L03eAwvbf++59Bygs3z2ihSfM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width=\"799.5333333333333\">"
      ],
      "text/plain": [
       "<IPython.core.display.HTML object>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "/home/alireza/anaconda3/lib/python3.8/site-packages/matplotlib/cbook/__init__.py:1298: ComplexWarning: Casting complex values to real discards the imaginary part\n",
      "  return np.asarray(x, float)\n"
     ]
    }
   ],
   "source": [
    "plt.figure(figsize = (8, 5))\n",
    "l = data.shape[0]\n",
    "plt.plot(data['Date'], intensity_reconstructed)\n",
    "plt.xticks(np.arange(0, l, l // 8)[1:-1], rotation = 60)\n",
    "plt.xlabel('Date', fontsize = 15)\n",
    "plt.ylabel('Intensity', fontsize = 15)\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "a58f33f8",
   "metadata": {},
   "source": [
    "## (c)\n",
    "\n",
    "Remover the first ten biggest values of Fourier transformed series, do an inverse transform once more and plot the results."
   ]
  },
  {
   "cell_type": "markdown",
   "id": "c82dd951",
   "metadata": {},
   "source": [
    "Why does the plot look different? And what's the difference?"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 74,
   "id": "2876ba72",
   "metadata": {},
   "outputs": [],
   "source": [
    "new_amps = fft(np.array(data['Monthly']))\n",
    "abs_amps = np.abs(new_amps[:l // 2 + 1])"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 75,
   "id": "8d6683bb",
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "0.0\n",
      "0.00025523226135783564\n",
      "0.0002756508422664625\n",
      "0.0002654415518121491\n",
      "0.0002348136804492088\n",
      "3.0627871362940275e-05\n",
      "0.0002450229709035222\n",
      "4.0837161817253704e-05\n",
      "0.00032669729453802963\n",
      "0.00029606942317508936\n"
     ]
    }
   ],
   "source": [
    "count = 0\n",
    "while count < 10:\n",
    "    position = abs_amps.argmax()\n",
    "    abs_amps[position], new_amps[position], new_amps[-position],  = 0, 0, 0\n",
    "    print(freq[position])\n",
    "    count += 1"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 81,
   "id": "c19a3144",
   "metadata": {},
   "outputs": [
    {
     "data": {
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       "            warnings.textContent =\n",
       "                'This browser does not support binary websocket messages. ' +\n",
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       "\n",
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       "            'min-height: 1px;' +\n",
       "            'min-width: 1px;' +\n",
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       "    canvas.setAttribute('style', 'box-sizing: content-box;');\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; position: absolute; left: 0; top: 0; 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",
       "            canvas.setAttribute(\n",
       "                'style',\n",
       "                'width: ' + width + 'px; height: ' + height + 'px;'\n",
       "            );\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",
       "        return function (event) {\n",
       "            return fig.mouse_event(event, name);\n",
       "        };\n",
       "    }\n",
       "\n",
       "    rubberband_canvas.addEventListener(\n",
       "        'mousedown',\n",
       "        on_mouse_event_closure('button_press')\n",
       "    );\n",
       "    rubberband_canvas.addEventListener(\n",
       "        'mouseup',\n",
       "        on_mouse_event_closure('button_release')\n",
       "    );\n",
       "    rubberband_canvas.addEventListener(\n",
       "        'dblclick',\n",
       "        on_mouse_event_closure('dblclick')\n",
       "    );\n",
       "    // Throttle sequential mouse events to 1 every 20ms.\n",
       "    rubberband_canvas.addEventListener(\n",
       "        'mousemove',\n",
       "        on_mouse_event_closure('motion_notify')\n",
       "    );\n",
       "\n",
       "    rubberband_canvas.addEventListener(\n",
       "        'mouseenter',\n",
       "        on_mouse_event_closure('figure_enter')\n",
       "    );\n",
       "    rubberband_canvas.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",
       "    this.rubberband_canvas.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.rubberband_canvas.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",
       "// from https://stackoverflow.com/questions/1114465/getting-mouse-location-in-canvas\n",
       "mpl.findpos = function (e) {\n",
       "    //this section is from http://www.quirksmode.org/js/events_properties.html\n",
       "    var targ;\n",
       "    if (!e) {\n",
       "        e = window.event;\n",
       "    }\n",
       "    if (e.target) {\n",
       "        targ = e.target;\n",
       "    } else if (e.srcElement) {\n",
       "        targ = e.srcElement;\n",
       "    }\n",
       "    if (targ.nodeType === 3) {\n",
       "        // defeat Safari bug\n",
       "        targ = targ.parentNode;\n",
       "    }\n",
       "\n",
       "    // pageX,Y are the mouse positions relative to the document\n",
       "    var boundingRect = targ.getBoundingClientRect();\n",
       "    var x = e.pageX - (boundingRect.left + document.body.scrollLeft);\n",
       "    var y = e.pageY - (boundingRect.top + document.body.scrollTop);\n",
       "\n",
       "    return { x: x, y: y };\n",
       "};\n",
       "\n",
       "/*\n",
       " * return a copy of an object with only non-object keys\n",
       " * we need this to avoid circular references\n",
       " * 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",
       "    var canvas_pos = mpl.findpos(event);\n",
       "\n",
       "    if (name === 'button_press') {\n",
       "        this.canvas.focus();\n",
       "        this.canvas_div.focus();\n",
       "    }\n",
       "\n",
       "    var x = canvas_pos.x * this.ratio;\n",
       "    var y = canvas_pos.y * this.ratio;\n",
       "\n",
       "    this.send_message(name, {\n",
       "        x: x,\n",
       "        y: y,\n",
       "        button: event.button,\n",
       "        step: event.step,\n",
       "        guiEvent: simpleKeys(event),\n",
       "    });\n",
       "\n",
       "    /* This prevents the web browser from automatically changing to\n",
       "     * the text insertion cursor when the button is pressed.  We want\n",
       "     * to control all of the cursor setting manually through the\n",
       "     * 'cursor' event from matplotlib */\n",
       "    event.preventDefault();\n",
       "    return false;\n",
       "};\n",
       "\n",
       "mpl.figure.prototype._key_event_extra = function (_event, _name) {\n",
       "    // Handle any extra behaviour associated with a key event\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.key_event = function (event, name) {\n",
       "    // 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 icon-home\", \"home\"], [\"Back\", \"Back to previous view\", \"fa fa-arrow-left icon-arrow-left\", \"back\"], [\"Forward\", \"Forward to next view\", \"fa fa-arrow-right icon-arrow-right\", \"forward\"], [\"\", \"\", \"\", \"\"], [\"Pan\", \"Left button pans, Right button zooms\\nx/y fixes axis, CTRL fixes aspect\", \"fa fa-arrows icon-move\", \"pan\"], [\"Zoom\", \"Zoom to rectangle\\nx/y fixes axis\", \"fa fa-square-o icon-check-empty\", \"zoom\"], [\"\", \"\", \"\", \"\"], [\"Download\", \"Download plot\", \"fa fa-floppy-o icon-save\", \"download\"]];\n",
       "\n",
       "mpl.extensions = [\"eps\", \"jpeg\", \"pgf\", \"pdf\", \"png\", \"ps\", \"raw\", \"svg\", \"tif\"];\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": {
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       "<img 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\" width=\"799.5333333333333\">"
      ],
      "text/plain": [
       "<IPython.core.display.HTML object>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "text/plain": [
       "[<matplotlib.lines.Line2D at 0x7f093c180c10>]"
      ]
     },
     "execution_count": 81,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "plt.figure(figsize = (8, 5))\n",
    "plt.plot(freq, np.abs(new_amps[:l // 2]), 'o')\n",
    "plt.plot(freq, np.abs(amps[:l // 2]), '.')\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 77,
   "id": "1ab85a17",
   "metadata": {},
   "outputs": [],
   "source": [
    "intensity_reconstructed2 = ifft(new_amps)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 82,
   "id": "aa3d2a38",
   "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(\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",
       "    );\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('style', 'box-sizing: content-box;');\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; position: absolute; left: 0; top: 0; 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",
       "            canvas.setAttribute(\n",
       "                'style',\n",
       "                'width: ' + width + 'px; height: ' + height + 'px;'\n",
       "            );\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",
       "        return function (event) {\n",
       "            return fig.mouse_event(event, name);\n",
       "        };\n",
       "    }\n",
       "\n",
       "    rubberband_canvas.addEventListener(\n",
       "        'mousedown',\n",
       "        on_mouse_event_closure('button_press')\n",
       "    );\n",
       "    rubberband_canvas.addEventListener(\n",
       "        'mouseup',\n",
       "        on_mouse_event_closure('button_release')\n",
       "    );\n",
       "    rubberband_canvas.addEventListener(\n",
       "        'dblclick',\n",
       "        on_mouse_event_closure('dblclick')\n",
       "    );\n",
       "    // Throttle sequential mouse events to 1 every 20ms.\n",
       "    rubberband_canvas.addEventListener(\n",
       "        'mousemove',\n",
       "        on_mouse_event_closure('motion_notify')\n",
       "    );\n",
       "\n",
       "    rubberband_canvas.addEventListener(\n",
       "        'mouseenter',\n",
       "        on_mouse_event_closure('figure_enter')\n",
       "    );\n",
       "    rubberband_canvas.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",
       "    this.rubberband_canvas.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.rubberband_canvas.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",
       "// from https://stackoverflow.com/questions/1114465/getting-mouse-location-in-canvas\n",
       "mpl.findpos = function (e) {\n",
       "    //this section is from http://www.quirksmode.org/js/events_properties.html\n",
       "    var targ;\n",
       "    if (!e) {\n",
       "        e = window.event;\n",
       "    }\n",
       "    if (e.target) {\n",
       "        targ = e.target;\n",
       "    } else if (e.srcElement) {\n",
       "        targ = e.srcElement;\n",
       "    }\n",
       "    if (targ.nodeType === 3) {\n",
       "        // defeat Safari bug\n",
       "        targ = targ.parentNode;\n",
       "    }\n",
       "\n",
       "    // pageX,Y are the mouse positions relative to the document\n",
       "    var boundingRect = targ.getBoundingClientRect();\n",
       "    var x = e.pageX - (boundingRect.left + document.body.scrollLeft);\n",
       "    var y = e.pageY - (boundingRect.top + document.body.scrollTop);\n",
       "\n",
       "    return { x: x, y: y };\n",
       "};\n",
       "\n",
       "/*\n",
       " * return a copy of an object with only non-object keys\n",
       " * we need this to avoid circular references\n",
       " * 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",
       "    var canvas_pos = mpl.findpos(event);\n",
       "\n",
       "    if (name === 'button_press') {\n",
       "        this.canvas.focus();\n",
       "        this.canvas_div.focus();\n",
       "    }\n",
       "\n",
       "    var x = canvas_pos.x * this.ratio;\n",
       "    var y = canvas_pos.y * this.ratio;\n",
       "\n",
       "    this.send_message(name, {\n",
       "        x: x,\n",
       "        y: y,\n",
       "        button: event.button,\n",
       "        step: event.step,\n",
       "        guiEvent: simpleKeys(event),\n",
       "    });\n",
       "\n",
       "    /* This prevents the web browser from automatically changing to\n",
       "     * the text insertion cursor when the button is pressed.  We want\n",
       "     * to control all of the cursor setting manually through the\n",
       "     * 'cursor' event from matplotlib */\n",
       "    event.preventDefault();\n",
       "    return false;\n",
       "};\n",
       "\n",
       "mpl.figure.prototype._key_event_extra = function (_event, _name) {\n",
       "    // Handle any extra behaviour associated with a key event\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.key_event = function (event, name) {\n",
       "    // 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 icon-home\", \"home\"], [\"Back\", \"Back to previous view\", \"fa fa-arrow-left icon-arrow-left\", \"back\"], [\"Forward\", \"Forward to next view\", \"fa fa-arrow-right icon-arrow-right\", \"forward\"], [\"\", \"\", \"\", \"\"], [\"Pan\", \"Left button pans, Right button zooms\\nx/y fixes axis, CTRL fixes aspect\", \"fa fa-arrows icon-move\", \"pan\"], [\"Zoom\", \"Zoom to rectangle\\nx/y fixes axis\", \"fa fa-square-o icon-check-empty\", \"zoom\"], [\"\", \"\", \"\", \"\"], [\"Download\", \"Download plot\", \"fa fa-floppy-o icon-save\", \"download\"]];\n",
       "\n",
       "mpl.extensions = [\"eps\", \"jpeg\", \"pgf\", \"pdf\", \"png\", \"ps\", \"raw\", \"svg\", \"tif\"];\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": {
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\" width=\"799.5333333333333\">"
      ],
      "text/plain": [
       "<IPython.core.display.HTML object>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "/home/alireza/anaconda3/lib/python3.8/site-packages/matplotlib/cbook/__init__.py:1298: ComplexWarning: Casting complex values to real discards the imaginary part\n",
      "  return np.asarray(x, float)\n",
      "/home/alireza/anaconda3/lib/python3.8/site-packages/matplotlib/cbook/__init__.py:1298: ComplexWarning: Casting complex values to real discards the imaginary part\n",
      "  return np.asarray(x, float)\n"
     ]
    }
   ],
   "source": [
    "plt.figure(figsize = (8, 5))\n",
    "plt.plot(data['Date'], intensity_reconstructed, label = 'main')\n",
    "plt.plot(data['Date'], intensity_reconstructed2, label = 'removed')\n",
    "plt.xticks(np.arange(0, l, l // 8)[1:-1], rotation = 60)\n",
    "plt.xlabel('Date', fontsize = 15)\n",
    "plt.ylabel('Intensity', fontsize = 15)\n",
    "plt.legend()\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "dabdc648",
   "metadata": {},
   "source": [
    "# Q4: Correlation function and power spectrum"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "3f1c72a3",
   "metadata": {},
   "source": [
    "Remember from last homework that we calculated autocorrelation function for a data that we made?\n",
    "\n",
    "Load the data saved as `2pcf.txt`, calculate the correlation function once more and then plot the power spectrum using that data."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "id": "340417f6",
   "metadata": {},
   "outputs": [],
   "source": [
    "data = np.loadtxt('2pcf.txt')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "id": "ca0da8fa",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.hist(data, bins = 100)\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 18,
   "id": "c5fc7eb6",
   "metadata": {},
   "outputs": [],
   "source": [
    "def autocorrelate(data, tau):\n",
    "    return np.mean(data[tau:] * data[:-tau])"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 28,
   "id": "0c3f27e9",
   "metadata": {},
   "outputs": [],
   "source": [
    "acf = [autocorrelate(data, tau) for tau in range(1, len(data))]"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 29,
   "id": "7317d85e",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "[<matplotlib.lines.Line2D at 0x7ffa6eaf34f0>]"
      ]
     },
     "execution_count": 29,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.plot(acf)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "id": "a1780236",
   "metadata": {},
   "outputs": [],
   "source": []
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "id": "e09794b5",
   "metadata": {},
   "outputs": [],
   "source": []
  },
  {
   "cell_type": "code",
   "execution_count": 26,
   "id": "09b0705a",
   "metadata": {},
   "outputs": [],
   "source": [
    "# Your answers here"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "e535676a",
   "metadata": {},
   "source": [
    "# Q5: Real world example (Bonous question)\n",
    "\n",
    "The two point correlation function is like autocorrelation but for multi-dimensional data. Here instead of \"lags\" we use distances.\n",
    "\n",
    "The file `cmb_camb_N1024_PS12.npy` is part of the CMB temperature map, you can read it directly using `np.load` function.\n",
    "\n",
    "Calculate the two point correlation for the CMB map, plot it, and then calculate the power spectrum and plot it too.\n",
    "\n",
    "P.S. the provided data is 1024$\\times$1024, it needs too much computational power to calculate correlation for every point. You may use only a fraction of data points, if they are chosen randomly, the result would be the same. Also for the distances, you do not need to cover the whole length of the image."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "id": "1609d819",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 2 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "..."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "id": "07adc3ef",
   "metadata": {},
   "outputs": [],
   "source": [
    "# Your answers here"
   ]
  }
 ],
 "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": "3.8.12"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 5
}