develop.ipynb

{
 "cells": [
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {},
   "outputs": [],
   "source": [
    "import numpy as np, os\n",
    "import math\n",
    "from ezc3d import c3d\n",
    "import matplotlib.pyplot as plt\n",
    "%matplotlib notebook"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "['CMakeLists.txt', 'SOTIRIOU_C3D', 'develop.ipynb', 'package.xml', 'develop_v2.ipynb', 'cnn.ipynb', '.git', 'Untitled.ipynb', 'README.md', 'data.zip', '.ipynb_checkpoints', 'heatmaps', 'MAUROPOULOU_C3D']\n"
     ]
    }
   ],
   "source": [
    "data_path = '/home/katerina/catkin_ws/src/vision_based_fall_detection/'\n",
    "subjects = os.listdir(data_path)\n",
    "print(subjects)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {},
   "outputs": [],
   "source": [
    "def choose_subject(sid):\n",
    "    subject_path = data_path + subjects[sid] + '/'\n",
    "    filenames = sorted(os.listdir(subject_path))\n",
    "    return [subject_path,filenames]\n",
    "# Print all the files with different actions\n",
    "# print(filenames)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "['cutting_10.c3d', 'cutting_11.c3d', 'cutting_12.c3d', 'cutting_13.c3d', 'cutting_14.c3d', 'cutting_15.c3d', 'cutting_17.c3d', 'cutting_18.c3d', 'cutting_19.c3d', 'cutting_2.c3d', 'cutting_20.c3d', 'cutting_4.c3d', 'cutting_5.c3d', 'cutting_6.c3d', 'cutting_8.c3d', 'cutting_9.c3d', 'gait trial_10.c3d', 'gait trial_11.c3d', 'gait trial_13.c3d', 'gait trial_16.c3d', 'gait trial_17.c3d', 'gait trial_18.c3d', 'gait trial_19.c3d', 'gait trial_20.c3d', 'gait trial_22.c3d', 'gait trial_23.c3d', 'gait trial_24.c3d', 'gait trial_25.c3d', 'gait trial_26.c3d', 'gait trial_27.c3d', 'gait trial_28.c3d', 'gait trial_3.c3d', 'gait trial_30.c3d', 'gait trial_31.c3d', 'gait trial_32.c3d', 'gait trial_33.c3d', 'gait trial_34.c3d', 'gait trial_35.c3d', 'gait trial_4.c3d', 'gait trial_6.c3d', 'gait trial_7.c3d', 'gait trial_9.c3d', 'sit to stand.c3d', 'sit to stand02.c3d', 'sit to stand03.c3d', 'sit to stand06.c3d', 'sit to stand07.c3d', 'sit to stand08.c3d', 'sit to stand09.c3d', 'sit to stand10.c3d', 'sit to stand12.c3d', 'sit to stand13.c3d', 'sit to stand14.c3d', 'stand to sit_1.c3d', 'stand to sit_2.c3d', 'stand to sit_3.c3d', 'stand to sit_4.c3d', 'stand to sit_5.c3d', 'static_2.c3d', 'turning_1.c3d', 'turning_2.c3d', 'turning_3.c3d', 'turning_4.c3d', 'turning_5.c3d']\n"
     ]
    }
   ],
   "source": [
    "subject_id = 1\n",
    "f = choose_subject(subject_id)\n",
    "path = f[0]\n",
    "filenames = f[1]\n",
    "print(filenames)\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "metadata": {},
   "outputs": [],
   "source": [
    "# Select a certain action from the givens\n",
    "def _selected_action_(act):\n",
    "    ij = act\n",
    "    data = c3d(path + filenames[ij])\n",
    "    print(\"The selected action file is:\",filenames[ij])\n",
    "    return data"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "The selected action file is: stand to sit_2.c3d\n"
     ]
    }
   ],
   "source": [
    "data = _selected_action_(-10)\n",
    "joints_num = data['parameters']['POINT']['USED']['value'][0]\n",
    "desired_joints = [\n",
    "    'C7', 'CLAV', 'LANK', 'LASI', 'LBHD', 'LELB', 'LFHD', 'LFIN',\n",
    "    'LFRM', 'LHEE', 'LKNE', 'LPSI', 'LSHO', 'LTHI', 'LTIB', 'LTOE',\n",
    "    'LUPA', 'LWRA', 'LWRB', 'RANK', 'RASI', 'RBAK', 'RBHD', 'RELB',\n",
    "    'RFHD', 'RFIN', 'RFRM', 'RHEE', 'RKNE', 'RPSI', 'RSHO', 'RTHI',\n",
    "    'RTIB', 'RTOE', 'RUPA', 'RWRA', 'RWRB', 'T10'\n",
    "]"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "# ---- HEADER ---- #\n",
      "Number of points = 41\n",
      "Point frame rate = 100.0\n",
      "Index of the first point frame = 347\n",
      "Index of the last point frame = 976\n",
      "\n",
      "Number of analogs = 36\n",
      "Analog frame rate = 1000.0\n",
      "Index of the first analog frame = 3470\n",
      "Index of the last analog frame = 9769\n",
      "\n"
     ]
    }
   ],
   "source": [
    "print(\"# ---- HEADER ---- #\")\n",
    "print(f\"Number of points = {data['header']['points']['size']}\")\n",
    "print(f\"Point frame rate = {data['header']['points']['frame_rate']}\")\n",
    "print(f\"Index of the first point frame = {data['header']['points']['first_frame']}\")\n",
    "print(f\"Index of the last point frame = {data['header']['points']['last_frame']}\")\n",
    "print(\"\")\n",
    "print(f\"Number of analogs = {data['header']['analogs']['size']}\")\n",
    "print(f\"Analog frame rate = {data['header']['analogs']['frame_rate']}\")\n",
    "print(f\"Index of the first analog frame = {data['header']['analogs']['first_frame']}\")\n",
    "print(f\"Index of the last analog frame = {data['header']['analogs']['last_frame']}\")\n",
    "print(\"\")"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "# ---- PARAMETERS ---- #\n",
      "Number of points = 41\n",
      "Name of the points = ['RFHD', 'RBHD', 'STRN', 'LELB', 'LFRM', 'LWRA', 'LFIN', 'RSHO', 'RUPA', 'RELB', 'RFRM', 'RWRA', 'RWRB', 'RFIN', 'RASI', 'LTHI', 'LKNE', 'LANK', 'LHEE', 'LTOE', 'RKNE', 'RANK', 'RHEE', 'RTOE', 'ICL', 'ICR', 'LUPA', 'LTIB', 'LWRB', 'CLAV', 'RTHI', 'RTIB', 'LFHD', 'LBHD', 'LSHO', 'LPSI', 'C7', 'RBAK', 'T10', 'RPSI', 'LASI']\n",
      "Point frame rate = 100.0\n",
      "Number of frames = 630\n",
      "\n",
      "Number of analogs = 36\n",
      "Name of the analogs = ['Force.Fx1', 'Force.Fy1', 'Force.Fz1', 'Moment.Mx1', 'Moment.My1', 'Moment.Mz1', 'Force.Fx2', 'Force.Fy2', 'Force.Fz2', 'Moment.Mx2', 'Moment.My2', 'Moment.Mz2', 'Raw.Pin 1', 'Raw.Pin 2', 'Raw.Pin 3', 'Raw.Pin 4', 'Raw.Pin 5', 'Raw.Pin 6', 'Raw.Pin 7', 'Raw.Pin 8', 'Raw.Pin 9', 'Raw.Pin 10', 'Raw.Pin 11', 'Raw.Pin 12', 'Raw.Pin 13', 'Raw.Pin 14', 'Raw.Pin 15', 'Raw.Pin 16', 'Voltage.RF Right', 'Voltage.VL Right', 'Voltage.VM Right', 'Voltage.GM Right', 'Voltage.RF Left', 'Voltage.VL Left', 'Voltage.VM Left', 'Voltage.GM Left']\n",
      "Analog frame rate = 1000.0\n",
      "\n"
     ]
    }
   ],
   "source": [
    "# Print the parameters\n",
    "print(\"# ---- PARAMETERS ---- #\")\n",
    "# the number of points/joints that contains x,y,z coordinates\n",
    "print(f\"Number of points = {data['parameters']['POINT']['USED']['value'][0]}\")\n",
    "# the name of these joints\n",
    "print(f\"Name of the points = {data['parameters']['POINT']['LABELS']['value']}\")\n",
    "print(f\"Point frame rate = {data['parameters']['POINT']['RATE']['value'][0]}\")\n",
    "print(f\"Number of frames = {data['parameters']['POINT']['FRAMES']['value'][0]}\")\n",
    "print(\"\")\n",
    "print(f\"Number of analogs = {data['parameters']['ANALOG']['USED']['value'][0]}\")\n",
    "print(f\"Name of the analogs = {data['parameters']['ANALOG']['LABELS']['value']}\")\n",
    "print(f\"Analog frame rate = {data['parameters']['ANALOG']['RATE']['value'][0]}\")\n",
    "print(\"\")\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "The number of different actions is: 64\n",
      "The number of tracked joints is for each action is: 41\n"
     ]
    }
   ],
   "source": [
    "frame = -50\n",
    "points_residuals = data['data']['meta_points']['residuals']\n",
    "# print(points_residuals.shape)\n",
    "point_data = data['data']['points']\n",
    "# print(point_data.shape)\n",
    "# Points 0:3 contains x,y,z positions, 4 doen't contain useful info for now\n",
    "pose = point_data[0:3,:,frame]\n",
    "# print(pose.shape)\n",
    "print(\"The number of different actions is:\", len(filenames))\n",
    "print(\"The number of tracked joints is for each action is:\", point_data.shape[1])"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 10,
   "metadata": {},
   "outputs": [],
   "source": [
    "# mark a certain joint for optical purpose\n",
    "def plot_3dview(marked_joint):\n",
    "    ii = marked_joint\n",
    "    fig = plt.figure()\n",
    "    ax = fig.add_subplot(projection='3d')\n",
    "    ax.set_xlim3d(-600, 1200)\n",
    "    ax.set_ylim3d(-600, 1200)\n",
    "    ax.set_zlim3d(0, 1600)\n",
    "    for i in range(len(pose[0])):\n",
    "        if i == ii:\n",
    "            x = pose[0,i]\n",
    "            y = pose[1,i]\n",
    "            z = pose[2,i]\n",
    "            ax.scatter(x, y, z, color='red')\n",
    "        else:\n",
    "            x = pose[0,i]\n",
    "            y = pose[1,i]\n",
    "            z = pose[2,i]\n",
    "            ax.scatter(x, y, z, color='blue')\n",
    "    plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 11,
   "metadata": {},
   "outputs": [
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       "        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",
       "    var cursor = msg['cursor'];\n",
       "    switch (cursor) {\n",
       "        case 0:\n",
       "            cursor = 'pointer';\n",
       "            break;\n",
       "        case 1:\n",
       "            cursor = 'default';\n",
       "            break;\n",
       "        case 2:\n",
       "            cursor = 'crosshair';\n",
       "            break;\n",
       "        case 3:\n",
       "            cursor = 'move';\n",
       "            break;\n",
       "    }\n",
       "    fig.rubberband_canvas.style.cursor = cursor;\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.handle_message = function (fig, msg) {\n",
       "    fig.message.textContent = msg['message'];\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.handle_draw = function (fig, _msg) {\n",
       "    // Request the server to send over a new figure.\n",
       "    fig.send_draw_message();\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.handle_image_mode = function (fig, msg) {\n",
       "    fig.image_mode = msg['mode'];\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.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 http://stackoverflow.com/questions/1114465/getting-mouse-location-in-canvas\n",
       "mpl.findpos = function (e) {\n",
       "    //this section is from http://www.quirksmode.org/js/events_properties.html\n",
       "    var targ;\n",
       "    if (!e) {\n",
       "        e = window.event;\n",
       "    }\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",
       " * http://stackoverflow.com/a/24161582/3208463\n",
       " */\n",
       "function simpleKeys(original) {\n",
       "    return Object.keys(original).reduce(function (obj, key) {\n",
       "        if (typeof original[key] !== 'object') {\n",
       "            obj[key] = original[key];\n",
       "        }\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, CTRL fixes aspect\", \"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",
       "    var manager = IPython.notebook.keyboard_manager;\n",
       "    if (!manager) {\n",
       "        manager = IPython.keyboard_manager;\n",
       "    }\n",
       "\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"
    },
    {
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\" width=\"575.5555708025713\">"
      ],
      "text/plain": [
       "<IPython.core.display.HTML object>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "plot_3dview(5)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 12,
   "metadata": {},
   "outputs": [],
   "source": [
    "# Marker id refair to a certain joint \n",
    "# Here we take marker_id:0 == name of the joint:RFHD and plot x,y,z for all the frames\n",
    "def plot_joint(jid):\n",
    "    marker_id = jid\n",
    "    plt.figure()\n",
    "    plt.title(f\"This time series shows x dim of joint {jid}\")\n",
    "    plt.plot(np.arange(len(point_data[0,marker_id,:])),point_data[0,marker_id,:])\n",
    "    plt.grid('on')\n",
    "    plt.show()\n",
    "    plt.figure()\n",
    "    plt.title(f\"This time series shows y dim of joint {jid}\")\n",
    "    plt.plot(np.arange(len(point_data[1,marker_id,:])),point_data[1,marker_id,:])\n",
    "    plt.grid('on')\n",
    "    plt.show()\n",
    "    plt.figure()\n",
    "    plt.title(f\"This time series shows z dim of joint {jid}\")\n",
    "    plt.plot(np.arange(len(point_data[2,marker_id,:])),point_data[2,marker_id,:])\n",
    "    plt.grid('on')\n",
    "    plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 13,
   "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_dpi_ratio', { dpi_ratio: fig.ratio });\n",
       "        }\n",
       "        fig.send_message('refresh', {});\n",
       "    };\n",
       "\n",
       "    this.imageObj.onload = function () {\n",
       "        if (fig.image_mode === 'full') {\n",
       "            // Full images could contain transparency (where diff images\n",
       "            // almost always do), so we need to clear the canvas so that\n",
       "            // there is no ghosting.\n",
       "            fig.context.clearRect(0, 0, fig.canvas.width, fig.canvas.height);\n",
       "        }\n",
       "        fig.context.drawImage(fig.imageObj, 0, 0);\n",
       "    };\n",
       "\n",
       "    this.imageObj.onunload = function () {\n",
       "        fig.ws.close();\n",
       "    };\n",
       "\n",
       "    this.ws.onmessage = this._make_on_message_function(this);\n",
       "\n",
       "    this.ondownload = ondownload;\n",
       "};\n",
       "\n",
       "mpl.figure.prototype._init_header = function () {\n",
       "    var titlebar = 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",
       "    var cursor = msg['cursor'];\n",
       "    switch (cursor) {\n",
       "        case 0:\n",
       "            cursor = 'pointer';\n",
       "            break;\n",
       "        case 1:\n",
       "            cursor = 'default';\n",
       "            break;\n",
       "        case 2:\n",
       "            cursor = 'crosshair';\n",
       "            break;\n",
       "        case 3:\n",
       "            cursor = 'move';\n",
       "            break;\n",
       "    }\n",
       "    fig.rubberband_canvas.style.cursor = cursor;\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.handle_message = function (fig, msg) {\n",
       "    fig.message.textContent = msg['message'];\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.handle_draw = function (fig, _msg) {\n",
       "    // Request the server to send over a new figure.\n",
       "    fig.send_draw_message();\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.handle_image_mode = function (fig, msg) {\n",
       "    fig.image_mode = msg['mode'];\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.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 http://stackoverflow.com/questions/1114465/getting-mouse-location-in-canvas\n",
       "mpl.findpos = function (e) {\n",
       "    //this section is from http://www.quirksmode.org/js/events_properties.html\n",
       "    var targ;\n",
       "    if (!e) {\n",
       "        e = window.event;\n",
       "    }\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",
       " * http://stackoverflow.com/a/24161582/3208463\n",
       " */\n",
       "function simpleKeys(original) {\n",
       "    return Object.keys(original).reduce(function (obj, key) {\n",
       "        if (typeof original[key] !== 'object') {\n",
       "            obj[key] = original[key];\n",
       "        }\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, CTRL fixes aspect\", \"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",
       "    var manager = IPython.notebook.keyboard_manager;\n",
       "    if (!manager) {\n",
       "        manager = IPython.keyboard_manager;\n",
       "    }\n",
       "\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=\"575.5555708025713\">"
      ],
      "text/plain": [
       "<IPython.core.display.HTML object>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "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_dpi_ratio', { dpi_ratio: fig.ratio });\n",
       "        }\n",
       "        fig.send_message('refresh', {});\n",
       "    };\n",
       "\n",
       "    this.imageObj.onload = function () {\n",
       "        if (fig.image_mode === 'full') {\n",
       "            // Full images could contain transparency (where diff images\n",
       "            // almost always do), so we need to clear the canvas so that\n",
       "            // there is no ghosting.\n",
       "            fig.context.clearRect(0, 0, fig.canvas.width, fig.canvas.height);\n",
       "        }\n",
       "        fig.context.drawImage(fig.imageObj, 0, 0);\n",
       "    };\n",
       "\n",
       "    this.imageObj.onunload = function () {\n",
       "        fig.ws.close();\n",
       "    };\n",
       "\n",
       "    this.ws.onmessage = this._make_on_message_function(this);\n",
       "\n",
       "    this.ondownload = ondownload;\n",
       "};\n",
       "\n",
       "mpl.figure.prototype._init_header = function () {\n",
       "    var titlebar = 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",
       "    var cursor = msg['cursor'];\n",
       "    switch (cursor) {\n",
       "        case 0:\n",
       "            cursor = 'pointer';\n",
       "            break;\n",
       "        case 1:\n",
       "            cursor = 'default';\n",
       "            break;\n",
       "        case 2:\n",
       "            cursor = 'crosshair';\n",
       "            break;\n",
       "        case 3:\n",
       "            cursor = 'move';\n",
       "            break;\n",
       "    }\n",
       "    fig.rubberband_canvas.style.cursor = cursor;\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.handle_message = function (fig, msg) {\n",
       "    fig.message.textContent = msg['message'];\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.handle_draw = function (fig, _msg) {\n",
       "    // Request the server to send over a new figure.\n",
       "    fig.send_draw_message();\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.handle_image_mode = function (fig, msg) {\n",
       "    fig.image_mode = msg['mode'];\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.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 http://stackoverflow.com/questions/1114465/getting-mouse-location-in-canvas\n",
       "mpl.findpos = function (e) {\n",
       "    //this section is from http://www.quirksmode.org/js/events_properties.html\n",
       "    var targ;\n",
       "    if (!e) {\n",
       "        e = window.event;\n",
       "    }\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",
       " * http://stackoverflow.com/a/24161582/3208463\n",
       " */\n",
       "function simpleKeys(original) {\n",
       "    return Object.keys(original).reduce(function (obj, key) {\n",
       "        if (typeof original[key] !== 'object') {\n",
       "            obj[key] = original[key];\n",
       "        }\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, CTRL fixes aspect\", \"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",
       "    var manager = IPython.notebook.keyboard_manager;\n",
       "    if (!manager) {\n",
       "        manager = IPython.keyboard_manager;\n",
       "    }\n",
       "\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=\"575.5555708025713\">"
      ],
      "text/plain": [
       "<IPython.core.display.HTML object>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "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_dpi_ratio', { dpi_ratio: fig.ratio });\n",
       "        }\n",
       "        fig.send_message('refresh', {});\n",
       "    };\n",
       "\n",
       "    this.imageObj.onload = function () {\n",
       "        if (fig.image_mode === 'full') {\n",
       "            // Full images could contain transparency (where diff images\n",
       "            // almost always do), so we need to clear the canvas so that\n",
       "            // there is no ghosting.\n",
       "            fig.context.clearRect(0, 0, fig.canvas.width, fig.canvas.height);\n",
       "        }\n",
       "        fig.context.drawImage(fig.imageObj, 0, 0);\n",
       "    };\n",
       "\n",
       "    this.imageObj.onunload = function () {\n",
       "        fig.ws.close();\n",
       "    };\n",
       "\n",
       "    this.ws.onmessage = this._make_on_message_function(this);\n",
       "\n",
       "    this.ondownload = ondownload;\n",
       "};\n",
       "\n",
       "mpl.figure.prototype._init_header = function () {\n",
       "    var titlebar = 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",
       "    var cursor = msg['cursor'];\n",
       "    switch (cursor) {\n",
       "        case 0:\n",
       "            cursor = 'pointer';\n",
       "            break;\n",
       "        case 1:\n",
       "            cursor = 'default';\n",
       "            break;\n",
       "        case 2:\n",
       "            cursor = 'crosshair';\n",
       "            break;\n",
       "        case 3:\n",
       "            cursor = 'move';\n",
       "            break;\n",
       "    }\n",
       "    fig.rubberband_canvas.style.cursor = cursor;\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.handle_message = function (fig, msg) {\n",
       "    fig.message.textContent = msg['message'];\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.handle_draw = function (fig, _msg) {\n",
       "    // Request the server to send over a new figure.\n",
       "    fig.send_draw_message();\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.handle_image_mode = function (fig, msg) {\n",
       "    fig.image_mode = msg['mode'];\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.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 http://stackoverflow.com/questions/1114465/getting-mouse-location-in-canvas\n",
       "mpl.findpos = function (e) {\n",
       "    //this section is from http://www.quirksmode.org/js/events_properties.html\n",
       "    var targ;\n",
       "    if (!e) {\n",
       "        e = window.event;\n",
       "    }\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",
       " * http://stackoverflow.com/a/24161582/3208463\n",
       " */\n",
       "function simpleKeys(original) {\n",
       "    return Object.keys(original).reduce(function (obj, key) {\n",
       "        if (typeof original[key] !== 'object') {\n",
       "            obj[key] = original[key];\n",
       "        }\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, CTRL fixes aspect\", \"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",
       "    var manager = IPython.notebook.keyboard_manager;\n",
       "    if (!manager) {\n",
       "        manager = IPython.keyboard_manager;\n",
       "    }\n",
       "\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=\"575.5555708025713\">"
      ],
      "text/plain": [
       "<IPython.core.display.HTML object>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "plot_joint(2)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 14,
   "metadata": {},
   "outputs": [],
   "source": [
    "def _scatter_xy_(jid):\n",
    "    marker_id = jid\n",
    "    plt.figure()\n",
    "    plt.xlim(-600,1000)\n",
    "    plt.ylim(-600,1700)\n",
    "    plt.scatter(point_data[0,marker_id,:],point_data[1,marker_id,:])\n",
    "    plt.grid('on')\n",
    "    plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 15,
   "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_dpi_ratio', { dpi_ratio: fig.ratio });\n",
       "        }\n",
       "        fig.send_message('refresh', {});\n",
       "    };\n",
       "\n",
       "    this.imageObj.onload = function () {\n",
       "        if (fig.image_mode === 'full') {\n",
       "            // Full images could contain transparency (where diff images\n",
       "            // almost always do), so we need to clear the canvas so that\n",
       "            // there is no ghosting.\n",
       "            fig.context.clearRect(0, 0, fig.canvas.width, fig.canvas.height);\n",
       "        }\n",
       "        fig.context.drawImage(fig.imageObj, 0, 0);\n",
       "    };\n",
       "\n",
       "    this.imageObj.onunload = function () {\n",
       "        fig.ws.close();\n",
       "    };\n",
       "\n",
       "    this.ws.onmessage = this._make_on_message_function(this);\n",
       "\n",
       "    this.ondownload = ondownload;\n",
       "};\n",
       "\n",
       "mpl.figure.prototype._init_header = function () {\n",
       "    var titlebar = 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",
       "    var cursor = msg['cursor'];\n",
       "    switch (cursor) {\n",
       "        case 0:\n",
       "            cursor = 'pointer';\n",
       "            break;\n",
       "        case 1:\n",
       "            cursor = 'default';\n",
       "            break;\n",
       "        case 2:\n",
       "            cursor = 'crosshair';\n",
       "            break;\n",
       "        case 3:\n",
       "            cursor = 'move';\n",
       "            break;\n",
       "    }\n",
       "    fig.rubberband_canvas.style.cursor = cursor;\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.handle_message = function (fig, msg) {\n",
       "    fig.message.textContent = msg['message'];\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.handle_draw = function (fig, _msg) {\n",
       "    // Request the server to send over a new figure.\n",
       "    fig.send_draw_message();\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.handle_image_mode = function (fig, msg) {\n",
       "    fig.image_mode = msg['mode'];\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.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 http://stackoverflow.com/questions/1114465/getting-mouse-location-in-canvas\n",
       "mpl.findpos = function (e) {\n",
       "    //this section is from http://www.quirksmode.org/js/events_properties.html\n",
       "    var targ;\n",
       "    if (!e) {\n",
       "        e = window.event;\n",
       "    }\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",
       " * http://stackoverflow.com/a/24161582/3208463\n",
       " */\n",
       "function simpleKeys(original) {\n",
       "    return Object.keys(original).reduce(function (obj, key) {\n",
       "        if (typeof original[key] !== 'object') {\n",
       "            obj[key] = original[key];\n",
       "        }\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, CTRL fixes aspect\", \"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",
       "    var manager = IPython.notebook.keyboard_manager;\n",
       "    if (!manager) {\n",
       "        manager = IPython.keyboard_manager;\n",
       "    }\n",
       "\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=\"575.5555708025713\">"
      ],
      "text/plain": [
       "<IPython.core.display.HTML object>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "_scatter_xy_(0)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 16,
   "metadata": {},
   "outputs": [],
   "source": [
    "# Categorize actions : cutting, gait trial, sit to stand, stand to sit, turning, static\n",
    "def choose_action(files):\n",
    "    cutting_data = []\n",
    "    turn_data = []\n",
    "    gait_data = []\n",
    "    sit2std_data = []\n",
    "    std2sit_data = []\n",
    "    stat_data = []\n",
    "    \n",
    "    for file in files:\n",
    "            if file.lower().startswith(\"cutting\"):\n",
    "                cutting_data.append(file)\n",
    "#                 print(\"cutting data:\",cutting_data)\n",
    "    #             print(\"\")\n",
    "            elif file.lower().startswith(\"gait trial\"):\n",
    "                gait_data.append(file)\n",
    "#                 print(\"Gait trials:\", gait_data)\n",
    "    #             print(\"\")\n",
    "            elif file.lower().startswith(\"stand to sit:\"):\n",
    "                std2sit_data.append(file)\n",
    "#                 print(\"Stand to sit\",std2sit_data)\n",
    "    #             print(\"\")\n",
    "            elif file.lower().startswith(\"sit to stand\"):\n",
    "                sit2std_data.append(file)\n",
    "#                 print(\"Sit to stand:\", sit2std_data)\n",
    "    #             print(\"\")\n",
    "            elif file.lower().startswith(\"turning\"):\n",
    "                turn_data.append(file) \n",
    "#                 print(\"Turning:\",turn_data)\n",
    "    #             print(\"\")\n",
    "            elif file.lower().startswith(\"static\"):\n",
    "                stat_data.append(file)\n",
    "#                 print(\"Static:\",stat_data)\n",
    "    #             print(\"\")\n",
    "    return[cutting_data, gait_data, std2sit_data, sit2std_data, turn_data, stat_data]\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 17,
   "metadata": {},
   "outputs": [],
   "source": [
    "action = choose_action(filenames)\n",
    "\n",
    "filelist = {\n",
    "    \"cutting_data\": action[0],\n",
    "    \"gait_data\": action[1],\n",
    "    \"std2sit_data\": action[2],\n",
    "    \"sit2std_data\": action[3],\n",
    "    \"turn_data\": action[4],\n",
    "    \"stat_data\": action[5]\n",
    "        }"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 18,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "16\n",
      "26\n",
      "0\n",
      "11\n",
      "5\n",
      "1\n"
     ]
    }
   ],
   "source": [
    "for ff in filelist:\n",
    "    print(len(filelist[ff]))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 19,
   "metadata": {},
   "outputs": [],
   "source": [
    "# print (turn_data)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 20,
   "metadata": {},
   "outputs": [],
   "source": [
    "def calculateJointMap(joints, desired_joints):\n",
    "    # Calculate the subject-specific indexes of the desired joints\n",
    "    return [joints.index(j) for j in desired_joints]"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 21,
   "metadata": {},
   "outputs": [],
   "source": [
    "def _standardization_vec_(pos):\n",
    "#     Remove nan from array\n",
    "    pos = pos[np.logical_not(np.isnan(pos))]\n",
    "    stds = np.std(pos, keepdims=True)\n",
    "    means = np.mean(pos, keepdims=True)\n",
    "    stand_pose = (pos-means)/stds\n",
    "    return stand_pose        "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 22,
   "metadata": {},
   "outputs": [],
   "source": [
    "# Choose between actions: cutting_data, gait_data, std2sit_data, sit2std_data,\n",
    "# turn_data, stat_data \n",
    "# This function categorize all x,y,z values from all joints in pose_x , pose_y, pose_z arrays\n",
    "def action_xyz_categorization(action):\n",
    "    pose = []\n",
    "    pose_x = []\n",
    "    pose_y = []\n",
    "    pose_z = []\n",
    "    # Select each action from the chosen category\n",
    "    row = 0\n",
    "    for i in range(5):\n",
    "        data = c3d(path + action[i])\n",
    "        point_data = data['data']['points']\n",
    "        joint_map = calculateJointMap(data['parameters']['POINT']['LABELS']['value'], desired_joints)\n",
    "        \n",
    "        pose_x.append([])\n",
    "        pose_y.append([])\n",
    "        pose_z.append([])\n",
    "        \n",
    "        # Take each joint\n",
    "        for j in joint_map:#range(point_data.shape[1]):\n",
    "            pose_x[row].append(_standardization_vec_(point_data[0,j,:]))\n",
    "            pose_y[row].append(_standardization_vec_(point_data[1,j,:]))\n",
    "            pose_z[row].append(_standardization_vec_(point_data[2,j,:]))\n",
    "        row+=1\n",
    "\n",
    "    pose.append(pose_x)\n",
    "    pose.append(pose_y)\n",
    "    pose.append(pose_z)\n",
    "    return pose\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 23,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "(3, 5, 38)\n",
      "Length of array(x,y,z): 3\n",
      "Number of action are : 5\n",
      "Number of joints are: 38\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "/home/katerina/anaconda3/lib/python3.7/site-packages/numpy/core/fromnumeric.py:1970: VisibleDeprecationWarning: Creating an ndarray from ragged nested sequences (which is a list-or-tuple of lists-or-tuples-or ndarrays with different lengths or shapes) is deprecated. If you meant to do this, you must specify 'dtype=object' when creating the ndarray.\n",
      "  result = asarray(a).shape\n"
     ]
    }
   ],
   "source": [
    "reference_action = \"turn_data\"\n",
    "pose  = action_xyz_categorization(filelist[reference_action])\n",
    "# standardization(pose_x)\n",
    "print(np.shape(pose))\n",
    "print(\"Length of array(x,y,z):\", len(pose))\n",
    "print(\"Number of action are :\", len(pose[0]))\n",
    "print(\"Number of joints are:\", len(pose[0][0]))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 24,
   "metadata": {},
   "outputs": [],
   "source": [
    "# Pearson's r\n",
    "# cross-correlation\n",
    "def cross_correlation(pose1, pose2):\n",
    "    cross_matrix = np.zeros((len(pose1[0])*len(pose2[0]),len(pose1)*len(pose1[0][0])))\n",
    "    print(cross_matrix.shape)\n",
    "    coordinate_num = 3\n",
    "    action_num1 = len(pose1[0])\n",
    "    action_num2 = len(pose2[0])\n",
    "    joints_num = len(pose1[0][0])\n",
    "    col = 0\n",
    "#     rho = 0\n",
    "    for i in range(coordinate_num):\n",
    "        for j in range(joints_num):\n",
    "            row = 0\n",
    "            for a in range(action_num1):\n",
    "                for k in range(action_num2):\n",
    "                    first_p = pose1[i][a][j]\n",
    "                    second_p = pose2[i][k][j]\n",
    "                    if (len(first_p) == len(second_p)):\n",
    "                        rho = scipy.stats.pearsonr(first_p, second_p)\n",
    "                    elif (len(first_p)<len(second_p)):\n",
    "                        second_p = scipy.signal.resample(second_p, len(first_p))\n",
    "                        rho = scipy.stats.pearsonr(first_p, second_p)\n",
    "                    elif (len(first_p)>len(second_p)):\n",
    "                        first_p = scipy.signal.resample(first_p, len(second_p))\n",
    "                        rho = scipy.stats.pearsonr(first_p, second_p)\n",
    "                    cross_matrix[row,col] = rho[0]\n",
    "                    row += 1\n",
    "            col += 1\n",
    "    return cross_matrix"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 25,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "(10, 114)\n"
     ]
    }
   ],
   "source": [
    "# self-correlation\n",
    "import scipy.stats\n",
    "import scipy.signal\n",
    "tot_matrix = np.zeros((np.sum(np.arange(len(pose[0]))),len(pose)*len(pose[0][0])))\n",
    "print(tot_matrix.shape)\n",
    "coordinate_num = 3\n",
    "action_num = len(pose[0])\n",
    "joints_num = len(pose[0][0])\n",
    "col = 0\n",
    "for i in range(coordinate_num):\n",
    "    for j in range(joints_num):\n",
    "        row = 0\n",
    "        for a in range(action_num):\n",
    "            for k in range(a+1,action_num):\n",
    "                first_p = pose[i][a][j]\n",
    "                second_p = pose[i][k][j]\n",
    "                if (len(first_p) == len(second_p)):\n",
    "                    scipy.stats.pearsonr(first_p, second_p)\n",
    "                elif (len(first_p)<len(second_p)):\n",
    "                    second_p = scipy.signal.resample(second_p, len(first_p))\n",
    "                    rho = scipy.stats.pearsonr(first_p, second_p)\n",
    "                elif (len(first_p)>len(second_p)):\n",
    "                    first_p = scipy.signal.resample(first_p, len(second_p))\n",
    "                    rho = scipy.stats.pearsonr(first_p, second_p)\n",
    "                tot_matrix[row,col] = rho[0]\n",
    "                row += 1\n",
    "        col += 1"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 26,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "cutting_data\n",
      "(3, 5, 38)\n",
      "Length of array(x,y,z): 3\n",
      "Number of action are : 5\n",
      "Number of joints are: 38\n",
      "(25, 114)\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "/home/katerina/anaconda3/lib/python3.7/site-packages/numpy/core/fromnumeric.py:1970: VisibleDeprecationWarning: Creating an ndarray from ragged nested sequences (which is a list-or-tuple of lists-or-tuples-or ndarrays with different lengths or shapes) is deprecated. If you meant to do this, you must specify 'dtype=object' when creating the ndarray.\n",
      "  result = asarray(a).shape\n"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "gait_data\n",
      "(3, 5, 38)\n",
      "Length of array(x,y,z): 3\n",
      "Number of action are : 5\n",
      "Number of joints are: 38\n",
      "(25, 114)\n",
      "sit2std_data\n",
      "(3, 5, 38)\n",
      "Length of array(x,y,z): 3\n",
      "Number of action are : 5\n",
      "Number of joints are: 38\n",
      "(25, 114)\n"
     ]
    }
   ],
   "source": [
    "for key, _ in filelist.items():\n",
    "    if key != reference_action and key != \"stat_data\" and key !=\"std2sit_data\":\n",
    "        print(key)\n",
    "        action_data = filelist[key]\n",
    "        pose2 = action_xyz_categorization(action_data)\n",
    "        print(np.shape(pose2))\n",
    "        # standardization(pose_x)\n",
    "        print(\"Length of array(x,y,z):\", len(pose2))\n",
    "        print(\"Number of action are :\", len(pose2[0]))\n",
    "        print(\"Number of joints are:\", len(pose2[0][0]))\n",
    "\n",
    "        cross_matrix = cross_correlation(pose,pose2)\n",
    "        tot_matrix = np.concatenate((tot_matrix,cross_matrix), axis=0)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 27,
   "metadata": {},
   "outputs": [
    {
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       "            '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",
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       "        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",
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       "\n",
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       "\n",
       "    this.context = undefined;\n",
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       "    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",
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       "\n",
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       "\n",
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       "};\n",
       "\n",
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       "    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",
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       "\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",
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       "\n",
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       "                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",
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       "\n",
       "    rubberband_canvas.addEventListener(\n",
       "        'mousedown',\n",
       "        on_mouse_event_closure('button_press')\n",
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       "\n",
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       "\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",
       "    var cursor = msg['cursor'];\n",
       "    switch (cursor) {\n",
       "        case 0:\n",
       "            cursor = 'pointer';\n",
       "            break;\n",
       "        case 1:\n",
       "            cursor = 'default';\n",
       "            break;\n",
       "        case 2:\n",
       "            cursor = 'crosshair';\n",
       "            break;\n",
       "        case 3:\n",
       "            cursor = 'move';\n",
       "            break;\n",
       "    }\n",
       "    fig.rubberband_canvas.style.cursor = cursor;\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.handle_message = function (fig, msg) {\n",
       "    fig.message.textContent = msg['message'];\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.handle_draw = function (fig, _msg) {\n",
       "    // Request the server to send over a new figure.\n",
       "    fig.send_draw_message();\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.handle_image_mode = function (fig, msg) {\n",
       "    fig.image_mode = msg['mode'];\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.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 http://stackoverflow.com/questions/1114465/getting-mouse-location-in-canvas\n",
       "mpl.findpos = function (e) {\n",
       "    //this section is from http://www.quirksmode.org/js/events_properties.html\n",
       "    var targ;\n",
       "    if (!e) {\n",
       "        e = window.event;\n",
       "    }\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",
       " * http://stackoverflow.com/a/24161582/3208463\n",
       " */\n",
       "function simpleKeys(original) {\n",
       "    return Object.keys(original).reduce(function (obj, key) {\n",
       "        if (typeof original[key] !== 'object') {\n",
       "            obj[key] = original[key];\n",
       "        }\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, CTRL fixes aspect\", \"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",
       "    var manager = IPython.notebook.keyboard_manager;\n",
       "    if (!manager) {\n",
       "        manager = IPython.keyboard_manager;\n",
       "    }\n",
       "\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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PjaXjciKBLjcPbIuiaRovK6jaypgVWv6svRYasVtM9ImaidyIfKmYE19idQ03Lnd3AQ5zVsxnDvYQZpZQnQtzbOb48ylJAuW5gmDUzXfe/yKPzGUzZxAA3PiiA5jZEsuqKastfgPzSOyGVrJmrHhCH97+OX/lAh4YvBTol3B59oSCYgBIG+/tP90CfGAGOzYDF8F7tvQYiB3QuyhMccGMQfh73WO5KHIQWhRkKu400aIKOjqs+eDv4TSOhwRSF568Xb018RHcugwASLLo/DE/ODyZceEfpBWPBcdSv3IRDoNgMjZUeg3u8wY/RgbKZFGt+hGZrTobSbeox/bTVG18HpldxOuLZ7Tox+w5DRnTm/6/nLWRaT9BUELB5mOi584mAJxayavPdjVBItM6xLY0r5zr2oJMyFhTT47kmpSdUEJPAFbZkAdab8DnNllZM/fM3TuGGeafgLYshveTSXaJAJTAhO82JuI3SVuzPj03gwpHmnEg1uBnB1wfw3W3NGIZm9sNBN39HWIiBh0dWMWD2nJGUtWwrvAWxoD3Akr7zuJliNznblfjC+Mj0iB3D51+BUL2P5mQ3gVmOjW8NqErvQaO9v52eUiqAVXPzGC0X2ud3CJMIhM1Q8IUDWo1369uU9kQbmQ10ygKjNj2l/6OCuPMkw0LjwSoGH7j8zVIvdJR941a4kyMya/cCl8gXMnhXMF36e3XcWveI/j2WZWCBEBkYkb8kbCZ/FunmqytsTBHud2qtMy1+6fiInmEwnQvRyxRAAF84QZMMH6KjUv5Jc1/mFWJRGEUyywAc4hfJ4r+EvIb79cCHhiUC6Y/En/DQQ+LEMM5CaoIwU1Bb4shC3FjjBIB8oLRKrmDeP3QhEqoR+6GELioHM0NrQo6Jzun0BEaVqfjQ7+EoYyhkI03JWIwYUcHckh8yAxeOcHyEQrnoneQJPIeDoMhEhmFAbI4RvOESvo9b1+n0KP6EamNuxrkflHPVFAyXGiM+Hf9SlqFLvjY2gVzWX5qWc6YvDBdxGDMhRqQCY3vzTMBIo0SaUtrqUpT2y4FeZHTPt/kd8518DtsGMi1OgMvOR85RJA0+lumvzG15qZwK75p40s4zQX9CZyINN4G9g7Np5/xP2STznRyIesDG8v6eGE9uAS5tfLJGvbUhgD0VEQERkcBRuzalr8hCwTNs9CNw8XRpnbqD3Z6xfB4sA/L7fTEPgoo6FlQkznfBszf8dZHHg10YjWy61/TZ9N09wYkYVEeHFyHy6f8/KhGSIZ0OTkFSZwpcVLy5a23rZwKQmF8Me027j/4+FuTPDQVapZSK0a20wDFxloy1IjES1Ybb97iuu45+OHYXvMf0pNqHNyrlkPOvA3Iwaa01wum4uYUrcb1/M4W7YqqhCLSzkm6StSE3dbDElrlvMr/m7jRQrk3nmbLlxf+Dj7Vlb/Ng02CZLq7yIp8UsjAnLNyCoit4v2JfdHQ/753/gX9teoIAh4YlBBbvT/wjanxxCDUN9VjECok0sk6lBcnJTEWFEXK25jdezw97HnhsRhwAcQ6Sli8GSMkA+pRuyIi5kdvZikyAIyX4bI36PwrLT/MLJBY8paGU7hiehdZEaeo/WQwJUw6LWYSIhwTDiPIwYXRD9jSmp/IlkQeeprqLPqB+aJp0l0P2tPbW18oelqEQNdMzY0U2iWIQYZmSQv3k7rKsu4hmfolTubolrwRmIPcylIo5TQ0FfLO3LZMRxq3AXXDnvYSMFljOOa0qf5Ku4Y+1nCWIKwFv+01MZOY3OI3gKRPjBs1M0m3PszgTuKH+CoogPMSc62lMkwfkLCrdf02ZT8FuLbw+g3L+W24oc4v8oMhnEXx5Xu5u9xZ9oYmeA1h/Ie+q18Dfo4v/zM+dlcwfMmYB/kVhpu2877tZof9O1LmNqYna9ZHQu5p0oWw+DkJ8zUrt0q0E+++Z5MNY2/8cI8F9kfupcSYNXN6dzGQxbboTgIuQdaxK22WAVp/OeVzqLqnBI3RlkEcbCiexOzNITxIHuKq5kb4tdMNYwtM2T6PheIGPC+vD7VuYHHzSGgrI0vClKpm7zZ1qbaEtpns2UbndXElbwgL7s6QxhpJG936XHkb0kjpc5Ozo+bbrENsjBk5y5y/0Cxh89K+F94BR4xa/DE4Ii5VUf+Ql8LiEFs4aJY0Rvq8cogK/te+y5iEOrasWJRngmdP2B1QAw+LWsxKOug6MWMaG+Oj8yj9eSAGIySxSDMgyhLDPRzK56I3kSnyHM0vQEi6VEwYhBSncMRkBpcEM3l1Rr9LSI98icRg49iSItWHUtAdI3KNIkWsbadwt+hxeKlrImE6YxaX6yrI5xTmvwpMLWIlrVX8hC3cs70BSZc17etZwJSvmwF90kLzRy+gq+GwzEPwPlDJjNz6/mMqH091y8YbZff2L4mn3CyBbx9Qar51C+dMpnoIIhcBlc/NoLReddyW737GL7wPivOk989gdWcEqQOHm9rv2rBeEvPi3SEGyffx4i5d9Kj4ySmbuprQSV7u8SzJK6tzaM16vPOzSMMK7kFXszpw+WrXubclq8za9sFLoo/E1bVTWcPv+ATTuILjuNKniWlQ5ErMPQGjGz8e1uHLBpfkmQZDcruqLmtwFk+RAwEY1BfY9cTSdzGg7ZXFyz5CxO4F/OKkYnT1qyBOcH/Y1BnYOvAFB7gDouv0BitowUf2pgGfEa73FW2FiMFmqcy7B0Uz01xjwb0rK6REMU7KCVVroYzC3NI0PpEJnTLK0NRT7g+cYQRg20cz87iGqRV2cFveNmsF1pn7TfyXXBlmBaspYog+8MjUE4EPDEoJ1D+tB+PQOhKCK+kd3GdKq4mwdfFsKPQuQMUfKivUCcOSUFIIkKLQWwKY2iA199OUZXERDj6c6h0ZRRelYSQEI11QIT0pATqpDJ58/lcdOpMkCthbhSGBsIi9C+HGmU47ER4bl1/rqg9EW6GSJ0oXKjoOhEDRUEcjhikkB19k7lDz7cgv+MHbmB7ekPn95YvWos/TPBhq0U5LB/nXAkdBsxmQadzDh1Tdm36eRBc1eVxE04DC8YT/3SQ694RiupiUfYKepOQT5++xUXZXwR/bH+bBRGKTDS7MUhXzAYawvbGyVaBUdkS/da8BiNcgZ6R/X5vVgXVMci6ZaljdRpzKuxNj+fdOFdb4HdrJpk7QO6HYQ/fzAO77+CO1Ae4++lHXI6/ouhbgOolPF3lahN+t/IwjQfnmTB96+EsE74StoPHvOCIgeolKFUvHSY172HWA2WXdHojx1UP7AIf1W1olgJlFYRBfenLtjjTlK6hWAlhH5KD2+HF9D42RjYI7VcCWz57VZu0iotyV+gIhLysGpMa9AgSXH9h40QI5EKoUbyTxAUH3FyhqUxzdXZZCbIWuGTaY414nF36LlU3lrg4Cc0jYhDO0x5yOrcyMqFgSK1R1h9ZF2pvy3djlMkgK0NYyVHrvNkTgx//Bqs4V/DEoOLc6599p18lfZuuGF8ZVIcgooA3pRiEZWMLYclOUKaWDrkFQkIQ6u+xP4dFj5SIKG+9zj9F10yH7W8mc/ywPTA2CAY7nJDXizoDXpjSl98NnUTRA3D0/CArwQLCYgS2hHZ41IFxoy/m0szJJuwiKVE4Ozg3DAgrm/2QBKf/cwFL5nWwYjUZ6YtY9cd235ZRjiUGMWEGWVe+xev0pHJpKb+NG8+0OX0cMRAZSSi2lEv2R741h++HzNbv8Cg30bR0LVUnl8CMABzltSst7wQoTK9EaeU4qn5eYkKypDG8mtzDouIHr3wB+geCTAJbQYZd4a32WfyLai6/f/oBw/mtjCxzNQzZ9hycF5Tz1Twq/tMeFnQ+3QRZv22vwXAnyB+/8ipzP9zPnfTqPtsF0+m+NXTzPNhzqJGNa3iai96Yaai/37M5s+hqxKBx9zxK/g7xMkYom6ItzHw4mwn8ltYsM3Iga0jKzqKDwYvRVBfbZwWLwlLF+j6soRBWGhwIqzqnGyGQuFbNiuOKd5OYG6Q6KitD6w2JRCDk8zpXN2EdFsOSO8TSB0VQJLBFfmLNZcJH1hAJcB26TlhGWWPCMsr6m55dWQCEkQI39T8TPl/639F6RHRUJEwllfU33Wd96XjWE4Of/QV4BC3AE4Mj6GYd6UvdEbgSwn1YumJQBEeBXiX/hK+LYEUxfBicVJYMhKRA1gJ9HxIHWRpEDqSrt1e/hBNg77J4km/8xgLd7MX6XcSgHUx450L69X7NIvAj70VdVL1Igb50lK1iqHTFNy7m0haTQa6E46NwTpCBEGqfsURC10iAzK/f4b2xne0F3zRrOev6tzq09kHYXyEEqTJkPvoO7+V2Nj9z18avMXtEL0cMVGFRn7FjAsFT89KNPMRtZl5uNW+dWUJMAEkQKdatBuyqm2SBaSlLipzW3B6eT+/H59Tlvm0PQq9gEZlB0Z2O8FbjLNNsL9o2EyY5q8Dr2edaISLFFyR2OeAEoeaRJt8aFrQ53UzsF+XOhHvd7x+5ebAF7IkYXNp/skuBPDWwAGTB41lX8XfO5A88QdbIpXazc65pxcv8xohBVv+lTgMXkVBBoAyYOSTbii5Js78sf5KrPhikVapA045EJ7jrF+aRoPkkUCVEJYCFoZilyMEgp8mH1SSFgoR8o8KNri6EhLAEvbAO+y10hVVtXeEhVYGUJi9ickrpaqruDrR/Yax5ZFHROKWGdoaiZPgyMcmsDEZAFh9w54TEIIxL0HwiE72gMK0SxVWcO+jY4i9dEabw/LCCYkh0tIEnPDE40t+fP+X6PTH4KdGu4HOFwYchDKErIPSSS7hLtEpp0js9VKJizz/c72K97IekKyrG4NoozFeoe0glwqvFqG6V2zK7pAOnRhZQ402IfBCFO1UyKXZMrKonVlKDZ0oGcH5kPHVuh0hTpSvKzlE2YDH2pisrYTFTT+1rGm61kf+kIEHqbpnCT2Wek1bRHJb3dq6EtpPns1SRiyEQ4ebLLE9ph3VeyrVc+JFcR8M7tjvtsQ9sTKtpAiU0Q9e7d5dlDMglcu2Qh63YkTIW2g1a5bajzL0M2JZY08z7Kgx9zpQFTsj3gvuH3WCpdw9yGz1ufNsRg4ugKAt2J6bYGGnR3WbNs5oPIiDDJtzMPRse4rZGdzN8xH1O2HaHaEfYlpJipEDZDddvGw0q25AGr795LleUPs+VcWMY/vR9zs8vKLpASV0s4FGxECpqVLN/gXuI7oUFbR0xUbVFxQ3Ify/CFFZ6tFgD1XIQ0VAp7uvhmeTf27m6nj7lFhCW4RhlCVjlRZn6d0Jhn0r8uUp/cwvIeiILidwC8vlrjDIE5I4wV4RiGqTZZ8K8xmeYS0cYqSqksglEbFRXwcpBF2whXiRB+Miz086RFl3fXbGRWTWUJaHz9XVyfh5W7VIWirCc8w2eGFTw1+9/tH1PDP4juPzJPwaB58tYDA53rTDtMEzi+6H5ymYlhKJcn9fnQGRQFNaM+zbv7LAX7MX86Fl8E1lKp5cgsiq2jkE4oGyORAueit7CaZEXaHsNRE4L0xV1fuyqYusY1KBP9COeqnw5qVkQ9/I+DtSU6hmbZ1FWwh9Ny+hXrDzhDFtIxueLWKUqP/9Wx6DMxup0sJS96lmfM4WLyLp3qbkDdg1IMiEUHhIk6VdsIWcsZA6Bi58Yxxu7e/KX1N9w0d0znfl6gEthlDasADkJouynF7F7CKReBjc+fx9P7r6OkanXcdUj4x0xuAzWN65n5ENCWYfIxFeXwTFZ8Mc3b+P+JcO5qu3jPDPuBqeB94P1GfVsHok4adB9Fk6j5DznMpi47gL6r3qVPi1f5OUpl7t0yZ6wq3uS+fZVjUCC+XebJxn52LsTqs6CidkXuNRGOth1VVJZ5ai1DxEEZQ00KsgjXoF++bDr5iQrVqR1K2Zhc2FdGiVuCAoH7TFxLGJgWQ3L8kxTz+te/WBBKFlPNhQ2om7iZivjrEJDmlOERFaElmtyzUJT0hleTu5ta1rC6RasKcuEUij1aetig8UQWIVDCfqE2fKbAAAgAElEQVRMmNS4h5EI9dD4gAzbh8iEzlfWSFjWOn3Nlm9jIQZ6YvBD7xL/928R8MTAPw0/GQKvlCEGEoex6YoiAxKjcgmEWQmxgYbhQg+Xrqi/aaxcC6fLFZsMlTdCpSFRmKjQRDklDqeZR6F5hKmru9Cjxdsu+HBh1Gm2mui7Kh+eCE+tG8jghi84V0L9KHSTRAxLMGlFZdMIj6FHdBJT+/Y1E3vq0C3kH1fbzVHWzRGz2Vabclg+/Ey73C/vmsuiJorsi4l/KBt8qL/dCFf95nGrY/C7bZOcRUABGV1hb8N4S0OUAFb4mkWxK2CtK7zYtY8RBwUSVr8xaLwkn3Y67KqVZMJXR+aSFc6V0Bam9OlmGr6aSqUP3eIC31QTIQNLkVyW6Mr+dlqZ4wIWm8CU27vxEpdZG+ke977tNFtp/+2+1f4lzH9bPIHEOw6YS+D9Yc15mqstna/HI287oadYhvYuBmJe3TNsfco6SB+zxaUrXgmzkjsHxOFk+5QAlXCXJq94hJT1QQaDyEkR7LohiWe4+hCCIuEuMqAxsgJkFKxxrZWD/gu7eiYxgf4WfyFLR9hrQ4WTJLhVYbFN/hqnycvUL2tGlistLTLjClCnHbQuhDUS6q3Z5VweimuVKa0dLGjvYjYsK4EalhKqVMWwdkH6erd3s0qE8RP6P/CHR6CcCHhiUE6g/Gk/HoF3AmIQm2UQlo3XO3ZrUKQoNl0xTMiL1cNjyUJouA+T/GpLaEkoZcGK25vQ+oW1rtBOGEgYymt9hnEDjeGZOwZw1Zjx5F1ZnfoLd7pqf4ov0Liy2QISxDWDMUPHm0YdKVVWwveM0XwJkPXOW8xfdq6VA26Wspx1t7X6tiNj2XiBAPIzrpxnWr8O5fHPfrOXIxJh8KH1fAhQDUjCpS1HM27h1U54SlCHHQTDBj61oKSB65/wRVyqCUEJsLoF253Ak1ldXzo0Rkp/c8htU8eEnrRYedMVo6B+CNZcSNH6LwX+c41R/EgGrO9az7RiaefVl+wzK8TWjBT73Wnr18BdgQBTgKPmaQvv9Mk007904rOK51ttBB2llSFBZnWVuZb5X3NoTBNYcWUTswpIeEublwf+cIfWLjFcrbDArVnXi2lxnD8kwbR/BR+6egphhQ3FsHxJt83zXPOiMPiwChR1dTUiRIBcwOI3ho0wUknkdutXwesBV9R91nyZsKJtk4PYi6SphoM+Nd46Yk4O8AxbQmfA1p4pRiR03UPmKS2m6uISR9h0zzUmbCpyuycGP/4NVnGu4IlBxbnXP/tOf1Ji0B5W3NWE1mPKSQzujiEGC8oQg5BMhFb+gBg8dfdABg994VBiIIEdtl3WebEBiCIGf3PEQBruSWkryb2pZSDkyxCQmKyEM65xxEBCQ10cZ08Lgg9VNjIh6jISwnkCYnB521GMnX6tS+8IcuAtEE/CV0GIEhhpoGY9G5LrmaCREGy8Kc9ps9KEwzbBGiNTjFIW2yabIAubFklo1tsZaLVhN0CtJRTy6bC1qxNk0tSrb3ZWiL014vky7lhXRVHWDBlbwraZGbD4opZmJpdvvwlrLa2y+s59bm3ytSu9Ut9rH9pPA8gdWMdM/67XpANQ4yRAdej3OkLicGzpl1R9s+TbDINA0G+/JtmaMOmQ6V/C3UgJcSa0L9o509UkkHAXpgmwt3s8b8T1NPeHzi8r5LM2LXU1E7Ss8H5kQU5GKwtW1JqEpeI39Km11lu4y42RkNc+RShaw8buNc1S4EIPHTkI56u5rAD+GgRWhtho8Z4Y/OzvvyNpAZ4YHEl36whf6+FcCWHHRGn8YfDh/4srIYwAkIVBluX66k63FY7qF4WZYX2B2IJAIZgxdQxauEj7yDQFH36f+8EJ/4f/eS03nzTK1TE4NgqXSJpqDklRHbFxCZIIKXSLTmVG796Ws3/U5SqJHJwb2xApJCL6rAxNvl7B2ntbW1ZCxrBFrPpF0Es3TKWMTYsMx74LBY2PourcEucGaJBkOfxhs52Tiz920e+SlWo4lZZCteI9LiVPgqgW5NdNMK1Z49TBUW2cTVsvhpLWsDY53QRavU27DgppuQ6+SXCuCoksi7JXxLyu2RjyalU34VcrP9+Z1SWMq0C0smvnrLFHFZW46H9lYqa5oEcTlJt3OVKgxkonfHt+cVwVqkhbVtplARSlw5LE062YkXzxCu6TJi9yotLQIigy8Wvt8s3X2xasP4jmf79fc+7lLhPyjhBUNsGr8/Wp7pjWqEgWh8CVsCornTEMMnxDvMIOmBqj9tIdChe4fSkTQkWgLkoIYhlqHCw4pXMVeOgCCpdwVv4iIiJNeoRFhLJhZK3f8xn1rdS15hIxCC0bip04Oz/HZWTIlRBG8er/wB8egXIi4IlBOYHyp/14BL4r+LBsuJ0IwvcFH5btRhAj4s3DH4r/696HyPlR2P5AmWyBQOIeTCrvyYzoQKpH5tFWlQ+nKy5BxfZ1fNdsLRgefZ4LI0+QLmKgtrZDFeQYXvtweKVyQXQ3Yyr3J7UjRB5XfMMPzVOZetFmfHZSE9M2629cR15EqnlYKec77svQfrz3p9ZkblvBqlrpFtgmIaJgQGm+KtHbeGKeszRkuE6HEQlv+XGKIa99dctO0LlOAy+1Yj31nt7ltPvesKJxE9ctcM1282Xnd06wdEFZFELtXAK01Zh1zgJxCeS0aWXi7LRta+x3RW1cG2EJVB0ap+C506avcbUGsl1PBR0Nc7e767SAmXWzzZcftpyWZeGctxe4gMRs+Kh7wyCor60F6cn3b9Ubi4+lUZVPza3xC/ZYcKCCAhU/UP3tfUZgZvbMtpLIykbYvfs4SvYdTdJxezg+0fVKOIv5FpugQL+snUtNAL/TJpOHuMU0ee1F8xxbxbWvlgVBOKjvgXolnLbZ7X1Vtiu9rHgBkZY9u6txbLUvOTHOxT8oC0LlmxXf0G7bKgvQ3No5hZt41GIpVJFxT2k1jon7ysiOxqjvgxVVYien7Vzj0kB1dPXE4Me/wSrOFTwxqDj3+mff6f+fxCC2I4GUUJEDIwYqBbvl8cMI7LD8sP5UplfC21EY98oPZDKcwsPRJ+kWGUVTEYMTFLD4fUJeK6xB7+g2nqk8wBGDJ6PQWGWUY49YIuIyGhpGG7GhoZLeodHGNWyMhBVsvueWDriY517qbw11nFiPM1IgTVOCW8Kj4fTtLsozNG2nQjQDvkyO519xEjPVTFtW/X+NVSBj7Un5TgtVPr3iCCpDSVXn+w+rKUo711gJYzX1aTZlo9N4tQWRkAQ3x/64uIPV+0RadL7M6hJyzeZtdEF6iiFQnQJZVFJA9Qi+Skw42JpYY1SQSRpzu4WrXEyF3BgZUJLmCjapUJLOWU0L1MPgO4nBrH1mcVB8g/oeWEnkgroUffELkuvsoH6Vzw5mACj2wYiBmkNthnltz7AOi8JKdSD2FFSzNs8nBO2dlU4oC4Ctc/MqIwbrs+uZZUL3xBINd9eiWuqeg1kFmkNjjBhozGrY1TWJO7nfUiIVrLijtIYRA2UvCPGmrOOXLHRjdgZ46DHp7onBz/4CPIIW4InBEXSzjvSlliddUXsMqxh+337Lis/Yc8OiSJauqDSt9Wq7HB6HswD0Ym70HCpFFrm2y0uiYL0SDneE9g31SohpotQiCgPDJkrhuLI9GZSu+MnBdMXIn9UrIayt+127Va+EY1h7guuV0PRzNVGSyl7WzlJmfIdzyf7bTCuVO4CXqDdplxU12phd08zr0sprL8l3UevyYyvQsA/Me+wM65CoIkL1Ju4y0qC0OsUh1CrdRtVlJc5ioNgFaaNt4f27mvMeZ5qJvfGkPOee6AwfpTU0s7gFHGqM3BAa0wTef6A5r3KhWS6y31h00Ey+Mb2madjVc4N4grC7YhrsmpBkvn9p39nTFznrQaaLexD1qb4pGKPYCAUVqh/BhHgejbvRrAuKP5AglUYe1jGQVu6qAWyg+htunSsGNmE4t5sWv7q4BQVbalC90WYrLy0rg8bKFWHEQLEDn8P7Wc3NLSC3hSwT6phYvfZO0+DDDAORJOGRtXmpkR5p/xojUiDS8llhfaolOkuBFVRiA6fygbMybHLav4IcH0682ZIf1Rvi4+KTzTKhNVndA6u38MG3VgbdJz0qF3licKS/P3/K9Xti8FOiXcHnGleOOgaCSErsf8WVcEgdA105NtEx9maIGJz9LTFYfrg6BmVvXgueiN7uuiseUsfg+yiLq2PwbMLlVFUdgz+HdQxi11ZW4FemefQAqxuebi/4Fp+riVJMi77veqYyO9DyvcUmRO/gAWqPyDfte2ufFBMqEoa1VwbEYASsnQdN+8G0CZ1NyF/N0zR8ZLsLrrsIctPqWCZCypoiJ+TDtsudYd6zZ1ipYjX/aTki11X16wPrG9Qz83bNNQVujMz8CtrLgJzJrcwnfzF/pdu4ec4f3hW2tklxEfkKUpQ/XtH/8tCkwdacFNOwRSZ6jQvKKHd2zZd0VN1R4h4ckRxlLeh4E/5Y67Z/IwYKaJSQlxCWMBVRqvmGW+eqgek8zK0m5FeWnkr+Z7Wo2WiTWT9Cc33Y0tiE/EZHDJ7kOtPiP6QF2/PqWtfDjLgPbB7NJ5IgE3/2tkXmFtjeOdnSL+VKEDHYUHwi1arsMcuMyIBqH2iMaf+bVhmxKuoMjyXeYFRGBGRtcVMjBtqHiIGsLSIJuleZO1c4C4qImm+iVMHfvv/Z9j0x+M/w8mf/CAT2Jrg6AiX74etS572vITOxotHzYe/nrpmSLMj6KttnMBSfYYqjXStYj+SBLA0S/fWDIO7Wn0OkdxQWh9p/bOGhWAF8LlOjXcis/Dap0yGyWiWRJclij9iaBPFW+fC5kv60j0x03RXPULqinOJlx8T+nEZW9GPm9z7XhOPxt29g+/Gq6RtzlA0krAxZu95yYxSUPvk9VkRUozj2kDZYhlDcH8+dd9x+0BQtQSPNdAbnm+la7YCtEZK07tBikA3RkbA2paGRB/mx5RYIOx3KInDpwsnu5mic0gXTXaXA1cku7U6mdH2q2dI6mpor4+HN9zgBpYp/EtoqyTwC3k9vbmuSyAwD/bQr5eT32/wafBCwxKC0cbQPLElpeUh9AdeboIpp2FYGWUUudb68LVVh2l2drU2xXAgFn9VECQYJJ+bTINnVJHDEYJPFGXQpnkPi7gO8WKuPCWztQ378rwuP5ujEr03zV0ChNPJQyFtjJb6wUs1Pcq21Qt7zRTUO7DuGSklfUavGNssyCF0JOlcxCjU3F/B+3eZWy0FkInSjyPIRpiCGFRoV16D5JPQVL/FnfnvwnshlozE6R4GLOkd7Cos3iQDq7zXZ8yP+c/3QioaAJwYV7Y7/nPvtHhQYis2rV60e+avlgw7Ky+5eDPNLXZZC2Io5XLbcBDq9fhzsL8UyzCUSZWVQEWMVTDo9DlIVVf95AqlnfQ3z1XkhNiNBNCImH7Bya8aVBH0PVPnwY7VQLgOUy1j79mgME9ZdSIfIa9RRjEG2eiWEZZTD02J7PoqUVKVJ9FPWTmptfvDW7d9jxR/KCPnYvgdBz4ULRk/k1RH9jfX8cshcFp0aFDgKpyk7Rr//K6xsfRKn5Ofyako3ptPdCuLM23o2fJbA5e1HMXb9tS4lUQJbwl4ELcP56IdddDP3jHgYkyeK/asGPX4zianT+7rzw859ik/Q94kwrWtneu14nQPrE0ECWgWDHivi62pHkyCtX3PInSArhFJHGsLr/c7lgjGznIvhQqje5XPO4m+8snmAy+FvASVt3Ubjg8j8xZ1bcsaGD2BmxAr+1Gy70SoZvl54AQnqIqk0PcUZNIC+6S8w6enfudsdZn5oP2KP1Vxb6rCSoeIu5MZ4hYt5ubgvpfvjSEr80oIlFWOxe0cqcZVL+WXqP8zEL2IRFjB6hUuYuPwKh5fiKMPCWHYPo2Q2evdgUKDiBqTdq06D5pJwlyA/mq8tk0KljkVKZMUQIdDvQ1KygUa8y9kW/+DIwNcWVKo2z18WJBnhkcXAalKw2SwPSt28yswu/vAIlA8BTwzKh5M/67+BQMcYYiAzsXL+JSAUxCZft4hBPmxZ6WRPmL4YI8LNynBi8F4PUxxDYhA2V26l2j9psHdbPMkdvoEcafJhvkJYWzHW/5/JhOiF9Gv4mqt8uF7xAsGGw14E9qM082AP9WHCpgtpH3mNBrIYnKXKh5JcJsJi7B2xJZFTaB7dyOqnTzeh1aLrUtb0P+1QZA9DDHpMmcTUu/ta3rxVPkzPPjQp4TCNl1QOeX7HtuYXV/CdMgw2UZ95H3Uzgd374vG8kjvg2za9EswyXgQtlm/P/iMPjrwXvvh2eWfcN49/zOvoqiQKF+XxixSIqaXBxIwLuHTHeA6sSQQ1RNT9HAUFGUdRdWyJswDoVihDU9UUm8Ckrj3o+8JURwzUxTEDTm+9gMX5HYioWJLWpKBFzSdCWegC/TrmLYCZ8U7A14f0ZqtYSCbVH9nniIfIQUPo3/Y5Jo684ltiIIGtMY2LSKr2JRmJK02ASgjLIiJhrziGpwuupnR/ZQsGVK0ASw0sPsqIQdu4JSZ8ZaVozXIT2nKLjF5+vcMrJAZW0bKIhKSv+FWyHDSu1LGsKCfmb+HdlEyzTCgwMtT4NY8InCoUyMUhYvCtkP/CsktUYXFbcS1zIehvyswILScN2GRuC7kvRFqUraHjHOb/N/6D/TUqCAKeGFSQG/2/sM3dlZ1QlRtBQl86fB1FneslXgA7NjsX8aeBcqlzy3Yo0O90ussw//bvoXXBrhmc03YrRDoq+FAZBmFIokaFmnyISi9mRztxQmQBTZWu+GEU7l8b/FHjQjdCLEVpynPR/rSKTHQxBnIl9AtfvmXrMYbzpHFudD2z2l1gmm61h9VEKayGFHuHYgPFIpwRncc/OnS0EzLmq1eC/C9CJkRB6wqr8wXuksF1GPrUgya4wqwEFQwaNedmE9qtnsphWf6ZrgnQs7BjBtToCtEJ8EFKExM+YwsHsm99dXgITK4sjhKtVMlV8JM1QBaANrBrVJIF9kkDnkNnPittQP6g2q7d9Vj47PI0F/z4NkTlqpE2Pwpy29cx18bdhcPYt6Y6TAXedeWcP7m4Lukjg9K+Io0iIINgRYMmZk6X8P609ETy/1rbFfTpBvOvbEvWmKWOZMoSkgqPPD+YW1546lCLQYcismrPN4Ee9i+QqT/rDRdIOGVINy7Z8deD7gCRgRqpLhgwNOvL/SCXR/aCRea2mHZlZ3694S3YEnHWggRIqJ/PKcny9+82Aa8vCfvseYvMpZI/LIFuvGmEzVUkKD5IAmS5kFVB1gwFLPbY/LYRsq0DUjiPN1mV15r4pK85Jukrjq7ybUnk422M+ivs5uKC14hXTIceD98r4X/hFXjErMETgyPmVh35C80Jgg9jvfWKF5B4k2CXO0Cf0vxVHjk2BTF297H9C8Pfx54r4qD2yxesg8i5UfhsdIwrQSNCAR+OUhOlrnwVWcq5zwdNlEbN/oFOia2siVJG5AUyrwyaKB3MSghbOcXuVPMeGnwYeVFZCVKVQ2tGSHVi4wUObaLkgg+lOofEINY6EYPSOR3oPHuaEYPQVC6d9Z7XHrZgvnoz1vNRcTMSFx6wDoQ5CyAzG3Ln1rHgQzUCWk5r1hY2ZV+36jB/B8yswTeZEeIliN+Ekr9DfGd4f3JzpnO+5fArZkAxDGsuOw3G7YD7a7DmjkY0e2OjxTLsngypshC9Da/XPdeqG86gO58V16dgcE0Y+xUMOoalo1tw2tNrnIBXZL1u6jiYVLeH+deV/KesgZzxnZx159cwecr5XDRupnNXKGgxFca/35sBf3nlWwtLAiR3286FVV49WAFRQlQFiGoPzbdAwsXTW3LG1sXwRQIkRaHyfurVO7SJUhjk13h4ns23fnI9mmxdD59qjHt0Uppv5ay4v5lgF5GQ9i4tvuXIXBeIORYy6i5i7e6mVEkoNmtEWpUdFo8gy0IYTKi52k1c5Vwrw6F18/dY8VEmJJVQKeEbUmvsthoJIh2qm6B5LPth1lIXhKngwzd9VsKR/wb96XbgicFPh3WFnyk3JishFMmyKh8d56wIoedfiqgMoLHisWwzpbI/h4GK+n1Y2r/1JxC5LgpvKcag7BFDJRJOYe7Xv+SkyCLqvA6RT2KDD8sGLAYzJ6Tywtd9OTMyifRDgg/LpkMeSlkuiM7n1dP6W2nbtGfz2GXq8/cclSGz5B3eO6+zAXLmnLfJiXT64WdpEJw+eoGZvM9nBl0K32ZlYksLxFv6cRa9Tx7Pg9xKw83brQnUh1PglH4waUIPczuEkfoS9Eqpy1vQmKystxjPb6mXuwtGQslEiD8fXp9wrvnKpRHLfy4Dt4r9rJibSfOO7zOR39AyN9dKH28ZAXUyYMUHTey6EoAaJ6uGAvEWLcmmTttcRjOIswvnkaC6/yOdq2L93HpWX0ACU0F/CupT0N+kDZdZOuHjXE9X3iTljSLXEloP0Fy4Je2eQB9XQAQ2tnvpdI7eV8Ke5CQLfKy3bJcb809gGgys9ZT5/sOCUAro68kbRib0O+n3TUvXUvWBEmc9eQKurjXCAgn1d1V91L4u5DVbb2i1qVu6mar3lrggzJvh8a5XWaCn1iD3gUiA5tGnC36sZnNaGqjIRH94pPPggwWrdF1ZCbozw+bT3LqWYg/S39jirDsiBi97YvDD/zT+jBABTwz8s/DTIVDDuRKi+13goI74sLjOfihRqd39sLQQVhzGjXC45kmh9SCslhiWRFZ3xfjVEPmzUg9jGiaVLRioC2TC7NkdOOfUBaZhRfYE3RVjkQmzBYKAQAU6vDz711ySOo2IiEFWFDLLvnxDi0FoQYjQOTqNObf82thL24HzWdpfLQVjeirEsqEgWK7bhCnMGNHbXvAX3zyOyVdd6oRe7LmxXo5gT3UuzTUBP5IhtBq5zuIaVnR3iXMSHzKLS2g1u2UjWx6BOsPgwrsm8GZBV/6cfKlru6zjfChq4koTa6zM3p3G5lByI8RfAsOevZlnuZJHuZl+977mTD8Xwd52rh+CNHsdrZ5ex6bB0CALbp//Rx6ccy+XdxnF2HHXuhiDrlDSHjYn12QW55ll4KH8e4goDqUWjJz7e4a+OYbO501jztu/dlYBwZcF29OSzS2hwj/X8iT1uuxyrg6xRHEvxR3IbaXPBbDjDaisINU+7v7bua/DV/lwzA1QdLMr2CTrh4Rzl/wFREQcFBvTE4o6QoJCSpTRoTLNqlKt5l3JsDGtpllO2hasIP6+4O/yBGmtSnZRHayghbJaTVsqZi3XVKpp8VoS7zrgrB69YO/AeOL2l5L4+gFnOdF+hFMK7E5OtiwQIxsPl7jAHGGlPen/SuRDY3Q84YnBT/eiO/Jn8sTgyL+HR84OYojBQWYaU1qgPMQgtjNjKG71WZYYNEmByEqISFMqDzGY0YFz2i0w33dkd9T83P8meENSoTWLGMz4NX1qTHNtl9uLGIS7in0JhxLbrdyIwR0BMRgwn6VXZB0q5A9DDHo8P4mpT/e18y4eMo7JfygnMbg41/ziz3MF6XdsMcG4d1A8H8edbBqtqgxK22x5Ry67H4bU4XD+zZOZtaMrb9U4h069c9zaJNDSIdoO3khxaZO9Js6mZDDE94M/jrrNuhE+y1X06P+28/EruPBUlxmguABpsZljV7DpCmiQDX+YO5wnXrmNqy5+nGduucEJNc2jDIRTYVTdyy2WYGTxEBIzDlhxpkfmD+aWV57i3ItfZ9aYCw62fTahnA7jm/e2NMmbeIxm5210wldEQKb9oAlUSAzmr3QurLZBJ05Lv5wFewugqjJSroFoKnyaUseEb7vcVXB3INjV6FL70z7lw9enAjAVPFkV9p4az7a4WjTOzXNjRBy6BMRBxGBGQAx0vq6T5ojX5sQ6pG/eArcH2RsXQVTtvxXyKmuByIJSPTVO/SJqwY6UZGpuKzAXgxEBERCRDe1Z8SOyZuh4zBODI+dF+fOv1BODn/8eVJgVLD9MgaMwfE4gSLhLDsmNoADE2KNsXMHhXAlhQOMhroSbozBVb/3vOaqlM+NfHelSbR7xciW8L1eCHBthceVwdeE14qFaPM/8awC9K48n9S6InKwmSnJZhCsN0xkOdSV0i85jxnmuiVLasDx2HX2CGxJbe6mM9n/Grnn844qOzpXw0tvk/KLTocF0h6l9IGLT+5bxZtq/ftNouCPQmC+BknSVJE4wTfi40t1Uvb2E6FiIDIJRD1xuMQYy5ad0CVo2BhkEVrGwrivNfNqYNc703hXeej7Lqhj+kXup132XsxhojATYCZDbuI4Rg5bjcomKRLWBSXN6cB93MYy7uajvTCfERQwk5JvDzIxsK+Bz/ebRThNPhcU5LbmGUQxiDFcMnehM6yISImTpkJPdiuW04bLSl6jaucTVWVCWha6pGIU2UJhaicQ5B1zAonAL62jIhSCrhbY8GDb2U+b/L1B6oHCS+6HZ9I1ub2EXyLCao37X3nVYVClppRtK+1dKY7NZQTnosNOhLA7KzBCZ0NplWakRz6dxJ5qFRPEgzSZtdAJda1NWhtYpfLQfEZDz3ZjNcXVtHrP6aG26ruaRZUSHHnsVjtLxrCcGFeZF+1/YqCcG/wUQ/SXKh0DYXTFWVIa5ArHdFfWe1ZeOwxUw/q76haFCr3ejFMSL/y34MDaXIVY178WMaE8aRubRdBpEZkRhrOzUFgERrKRsuaVWjIjeSs/IaBrcHjRRGhxmP8R2V4yV8in0iH7C1JP6miCJ3HkATlwazKFV6yg7jyoffsHqzNPtryflrCQ3IuklFML1hejF3IehTbnvTzdaUF276aucnz5VNfMDc3QylBwP8eI/I5wZXabr959obpr6FWsmuloOmuZ8V09AgiovvbpNUm+kizPQPvImVGc+Z3Hp5snWgtrSCqUhqxagd+gAACAASURBVIpzLdjeJtmIQcNx2x2ZaA4fTW9oVgaZ/Rt22e5M+dJ2g/TVFVlNzIzfa9lsuMxp/kVzXdW/C3mVxt3ziC6UpSYgBg1g60UpFszYbdM8N0ZRrEOh5BLYmZxiWRPS/pU22HhenjPrB10c7Xu5BnS7hsBbbbKs6JDKR4sYqKhR9+IZJO484IS6rq19SljrdnSFxW1aWn2BsKOjshYUy2BdHzVGXxojYa3PdrC1Z4qNEQkSMZDrp9fm2U6oa21alypJaqx+zoC9lzmLhPBRRoOqKfbMn20WMjtf19cYFXrSGB0veWJQvreUP0sIeGLgn4OfDIGyxEATxxKD0CMfSwwORw4ORwxixW8oLgcoxkBZCVuePEzkv64cjhIx6MvxkXm0lsVgloiB+h6oXJLyG8JzY5MnT2FEdBjnREaXaaIU23b537MSekQ3MrV2X9OOI/eJGMiGLvqjeQ6XYaBeCUWsPc31SjjpfRED1XjUoZ2WtUwEfxrYmpufH2bFgs5ZuABU+Edm6EGQ16C6xRccW1BEvDTlEVAyxcUL5DzrtO4hO58zF4mZ3i+D/LYJFhwnF4QC26oP3+eIQRbkTq5jtRIuK36JxEEHnFAaAHs7xqOWyArUs+p7TxccJAar5ro2xQMZS6sr1jlhFpjopQ3L3aHgO0vtU9ZBMhQursRDVW6xQLvTBgedA0V0ZHIPzP4qY5y5cgVcEQjJu1yKnzRruRmUOaFgzKyFS50QDWJdzNw/LxDyd8G0rM4WSKiYChUPUmOi3xZPcMRAwjbsRKnbpwd2ALzTPtPiKTRGtQhUQll9KlI2Fbkx+tK5MvGLUHR1lomwV4LIgbIWBuWPd0I+tASFVgatUfEUQ1zsg+Ip9CWLgWGvDBORlJDs6BoiXDrmeGLwk73o/g9M5InB/4GbeKRs4YeIQVjlsCwxiN3fdzVBjj3nYNvlDyDSKQpflG27HAr4kBj0Znb0CuIiC+ikAkdzY7srihzo0JhYYqAmSg/ROvIcmapj0EQBi6ouF+v0+PcmShdEd/BiQn/rlRB5RsTgre9xPzha1CRalbUNW5ugOOlzEYO8YE2xjpjYQEdVtDmXC2ZPNO3YTOvPlpjp+pE2g027P5/pDCwYT7xKB98OOfMgsydMe70z79LRBHbLSbnmCnixfR/rhaDUR/U2aLhzO9wFm8a4eIH35za3rARp8u2mrLLAt2ndO1stBIU6/pYJVtAn8jBsegQaZMD7HzTnYW5xpZnffs2028X9WloQozRgFRuSPlxv7C72DoaqqZC/NYGbedQKBPWb95oJvY3X1OQxbrJgSgl863kwpYDoIPiyEKpOhpnds828L3eHBOof+BPXrxzthHRdRyoic1z9hC3boM7L8GKfPqbB/42zzJ2gvd1ffCeJnx+w89UdsuoHJY7oSACPgBcv6mMa/Hv8yspJn81cHuJWam/KN4JVmFyJxFyXHhqdC5HBsGJYEztXmSBKEVWfhMdLr6dqTonFVRTVhQRp/oohkBGrP6x6zLXRVu0IfWnPj3AT9ebtcq4EuTpEXEZCdJIL9I1XQK0/PALlRMATg3IC5U/78QiExCAUs/osj8Wg7Mw/RA5C0Xy92i7LYvDFPYdxSsQK7d68Hb2SryM5dFdJ5AUiBgod/776AiIGj9Ey8hwdVMdA3RUHq4tjGBKpVce6K/Sz2i7v5MnIAGpkQ+Q5EQNFooVIhGNi13Y0TaKprK0dEIMdIgZhBMb3NGzKvIDO700zYqDmRvXe2GVm+r5pLzCntAuXxb3EgwV/JF5C7RaYvgS6d4Upb3azkrvqrpi9ZJG5D65OG2FCVamAd3GvS3G8Cz4cB6dkQc78VkYMzmMW5yxZYNr9sMY38zTXWH79/dxJ4815JjzXjoSm6bD4k5Y8wB12zatyx5uWO6rN5da6WILuRh6jNctIGVHEjhuhRhrk70jgeh63uImrNo030//r2edaG2Ll7d/KQ3QoXGApjiIT6rtRYy6Mz+5tmvXL9CUvrxE31xvOw+vvsTmj6UEA36wCSvrCigJoOwFG9bvcSIQsIR/vPpm+qX/hydIhVN1YQuEJldhRJY2GudvNAvPVEjjmeRjZ5/fW3EhCft3WppxbexajuMbwKkyrxBdVUqm3eZeN2TILK6Wd83Ara6Ckef5Be9ubgkVrLixwrpta1alRuIuEoeoUCVUHwuJRLc0toliQv/MrS1MU1s0WbjRSkJ+ewDGFRSTcATuUVqqiX1FPDH78G6ziXMETg4pzr3/2nc4Ogg9D3dt1D3DkILZQsdy3UpLK6ttOf/5unTyMMQjJxlWyGIgYbJfFILZXQtkr92Zu9Dfsiyyiuwocqe2yuRJ0yGJQ1lqg36vA0QOcHHmBTgMVUKf+CmUtBrEUKCQG23im8gBSO4oYfAP1VVKwLJmIjcJQjEEVVtd2MQZNt6rtsnoyhGiEt7VM5cNu3bl0xmja8w/T2lUNT9rlJbv/SsnEqmQNeYu3Cs8lQelsd8E7C6GT4gVyqtt5pUE0pLTlez4KiiI9up4VnErKvCIrzrNjEkZwts5NMYuCavrLRSET/PWFj7PvnupUurGQj2o0o/GSPBuzaSw0UFDdYpiYdsHB/H758aVd7xp2AlwC809uS9aypS6CXxUUpQm/DpPSe9iG5aCQW+MJ/sDSkVkWWPha+64uJkEuAbk54iDv8+r0YLp1Sty+vCFsh1bn5XAdT1l9AB3qJXBW8XwSBx4wsrF3QTzd46bbPjYV1KdoewotT17Mb/mzVRSUdUKNjlRu2jpQLoO9k+I5L+5NszLkba0P2xOo13o9l/GSxQ2E6aHKEkkfscW1hb4X/tB2uLkeZGnYXFCXE5M3GJHT/ZL7RYdcBadNWeNSI6+Ba7MeNneP5lJ755q1t3EZ48zaoDHaj/aWOWuFw07H654Y/OwvwCNoAZ4YHEE360hf6pJI5GBoXdhBIAzwVgycCEGYlaDKh991hCI+9u+xhnR563VOv4MxBo+XqXxYtjXTxcyPdqcgstQRA7VdflZ227IVDGP7HrTimeid1I+M59wBEFENg4EKPizrSogtnCCLwQZeShrAMXIlPKfKh6sOM0brC60BMZUPS0NiIOd4eN0wLiHcUzCu37ncM+EW00Dl91bQ3d85k2k39bE8+vg1e/lX0i9IXBBUPlwImY2dEM5vn2CBgSpAtH1VQ5f+tmYTTG3AgTMjRCSgZHoXqVDTpWdhRd0mzKeDWRY+Lj2Z/F/Xhpmb4M4GrLmvEc2mbLTUPqt8qKh5meA7w+u1zrVMA5tHhp2pu2FgKouez6DdmFXOR65sAcU6DHJth99LzDRrw+rSFuTfUxvut2YATJh9If3GveYi+rW+VHh8/lXc8MAzzvceZn9kQr2s9dYVsSnrTPBK9+42a54F+Y0eeClXzx1nnRgt7U/1JGpGrfWyiI8aNikWQJp6n/XTLGNAboTL577sOnkFlQ9Vm7t668+t9LLGqNiUWin3WTPNUgtXXNOE7OJ5FKysGcwTJb7al9RK3WZEQiRCYw7GEMw5YHUosgoXsO/d6t+urRpUb+bmUdVDjVEFRLlwrJW0Dt92+Uh/ff6k6/fE4CeFu2JPFqYrSqRJjOk9XVvv7yqwt9gRA/1e6YoiBmUN8SF6EvpleyXEEgORDVkiuisrQS/E9aEmX7bvQRjG2Iv3omeSH1nhiMFHqn3wfa2aNU7E4AZOjIynk4hBhygMiCUTWm0Zvz9p9I6uYWK1AcT/Co56qYCS47Tbw5GJb3fbKrqD5Secab/495LIsfPEPF8DOnHfSzcaMZBJXAFuIgbzruhmqXqVPi1kb7WqJM49AI+APABtlef5hKtX8FDKUO7ePYySZVVdpsH2JfDXtkTPjLj6AQq6kxtC2YuPuJREFRhSjEBuXlO4JB4WL4GhbfnkT3VJH+e05K+mwzG6QUNcIN20jM5cUjCJopwUJ+AX58Il6Syf1JRWjwRBiYrQFzFQcGIm5NRtxQ08zrIdbThwTyI8uxvapfLyol/TZ8w0RyaU058GD84Zyu23/ckRAzU3EtTtoHpHJ0gVICiNXt76XktmGzF4pOdgbnnzKUcMjguIwXGQVGeXtV8WpiIFcnn8buckm29k1u8ZOm2MWSRsHpGD4yChcT7VkvcYMZBrRIL7d9smGX4LLjqdTrvfoWRNVTdPUOK42nF7OCqu2OZQYWpVh+zLy9RcUuAaSG2dB/MT3DxBw6b4+ns5ttqXnBj3qcWCaIzcQWap0WOoOhv+8AiUEwFPDMoJlD/txyOwJXAlhA2PrHyxKhSmQLQAtua7ssh6r8uLfjhiEFYWCEW8VhUbSihrgVK9RTgafA6R66PwatgOOSQCZQR2/Rqs3HQSX0ZyyVSMwdYo3BnWPviOMaTzQrQvLSOTaK0YAxGQc36gXgI16Bd9hQkNf2/CKXXCFvIrS0rq+K554smOzmTuScoZhNafvMeKiOzqsZaIsgREufincOdTt5tgETHQl/zSi67Nhlch6dNd5O9PIz4wu3+4AE6Rif8WZwUY2fb3DP14jNPWVWRnzxKY2pZo7Yir3Bem32nMQIi2gGdTLuW24ocoWFbTjVn5IdxzCgV3HuVKB4tI6HpqiKRsguawuE9LfrX775S8W9U1a1q5Fvo1ZcuEVGoPCpJWZVEXMZB1ogGsz6rHFTzPkt1tKbmzKjy7A9rVYOqiLvQY/rbLcFBQZRo8Mnkwt4wImiiFXQ8zoF7L9WZuVxpiqGX32jbbAhL/2Pw27l8w3BEDdeRSv4SEYuITvrGmRW2rLEElksPyxbXy87kr5TbunzvcEYOgTbXIQULNfKokfGNjJLCl/avkce3cfKakd+N3hS+y79PqVKpZiAhB7NEibrWREFk2FMjYomAdryRfQP8NU2BxxJEJfenRqeb6JjSq8an1WjiOL+jCHE5nCZVLS6ka982P/wf2V6gwCHhiUGFu9c+/0b0JQXfFYkcADnZXlGwsUJtkZzlQLReVCooVfbGrj7UYhOQhtveCvPFGONQr4b6oVTP8N9kbe8EOsO5v9fkmkscpykpQ5cOhMtd/V3BfPCRV5YUv+9IuMommykroo8qHZceEtCW8TlUujY5mXIurjRgc//wGtkcaHr64UcgVKsO5X7/OrCYX2IrbrpvP0kijgA6V7eMQDoqHG+tw56O3m6aqwDsRg2W0ZsW1mdZdMXn9dvYUHO8066dh7QJoGqQzSmCP7n4pVy8f5wS5qkDuy4G3MonGR6w1ddgC2VIgJeQbwouN+3DFjuc5sCwRbpX7YS081JQDV0SIKKr+k6DoTthuuy58dENDTtnxIQfeSoTHNOZDGHAKBWOPomqfEkcixINkzpcLIg2290zmEv7KP3b/kpJbq8LYLdCmDrPf78A5dyxwASoiB7XgkZdiuiuGxKB5lIaN1prFQMRJ5n359LsUzyGx4ID1Vnhk4d3uAawTpVKSi99QkyM1Ozo9cYnhKiHfkXcti0JBkyMW3OnaLotM2Fwl1gExHBNq/xpzYvEGXqlyMTeVPkr+Z7VIqvkFqYm7LULgq1KXCdM0bq1ZMkRg9KniR2/Qk2s/Huvui0hB2JxT+Gjqk3MDMrHbAk9VZElHMzb8/C8Av4IjBgFPDI6YW3XkL3RtTHfF0JWgd+ixifB1EewI2jHLWlC28mFZYnC4QoE6R6QhtBikb4SIKh+Ww2KwfFNTSiLrLCI9siEK9/ywxUBtl9tGJnKKiIGCHLuFrZoPRyj0uxT6RV8/aDGo9pLaLofFkGKF/KG7zYrOYf5J51owXcY6tV0OUyjLWhk0LrjOgFO4/KVRB4WEguYU/X4vd7Fr7gn07jie8YUDSJCAeQTWzoKmqlSoLL42CZZyp7RFFeuZufAia4fc6u4cluee6YL7NE4MTmDfC+vr1jMCIquEcvjH5w2Ev8ZT85aNfFqc7mr9a9zcIJ3udijJguXJLS0uQa6OV3ZczIGJicQP2Mum1AbUHpvv8v1lQpLFYADsykqy6yv4TrETLzGA3DEtzcUwv1lb11FQlglVRUyEnDmt6MUbfF14NPv2HAtFVUhv9KERAglc1wrZdT5stmajEdSJ7S+wTIcvS10Ni9L9cVSrsseIgBo3iRRonPz4vyp9j6rbShhft7c1eNpdmMr+/XE2Ti4EXTccI9+/tH8bk1tCTuNWDOcO23vYZEnnHsduGyOyIstESGBqbiogp0ErS9lUHMc3RUfZXMckfU2tuG22H9mGRAb0vbk88jcSEcFJ866EI/8N+tPtwBODnw7rCj/TxJiSyKGmXzZXQL+XNSGsfHg40H4oXVEKpq47QFkJ0uTX/1AaobISzqZSZBEdRAwWlg0+1CrKmuuVrngXmZHnaD0kqGMwKAw+PFztA0cMDgk+fEZZCXLWx5Zeji2K5IIfm0cPsLphkJWwUVkJisYIaZA+Y6slBmShQycy//aOaY23lj7kTPknuGI/ioIXUZCgq7mzwKoDrp0ETfvAzJezjRRcybM0fHq7Cdf8AQms5FQLvJMw/EXpHusQWDLStV3OmdyKqfQ0P3irMevMnx/tDwtTWln2gMZYUaQR+4gOV2onvD+/OU9ztdUH6DbRBf0phuD9Bq7k8lEU29jGU/JcoaVU2P5BsglfVXO8aGLQXrknrG9fzzIUwqPlglxX4Ehxd5NhUlYP/kkty7YQmZDA1DVCQZpaUEC8qh7KeiLL1R3xPBl3nWUyqF5AWKxImr7GSNjLjZBamE+Cbt9O2NUvyQI2w6JIyhhQ8KDmCVshS2hXKyxwY2TR6AJT6nY7WOBIdgvdE7kAdH3FCahB0rEFJURUFElrzILXm59rFiDdR5ExrUljZFFQ2uaJpZ+6MbEFjq7xxKDCv4D/AwA8MfgPwPKn/jgEno+xGIRXOpzmL2JQNm+g7MzfY+Q/GMpndQzk+9/y8PfUF9AKevF2tA/xkRxHDA4pcPRdmrxKIj9KVmS0IwYN5H6ITVc8XEVCZSVs4/mEATEFjpSP9131ElxQ4sECR6p8uDEscCQyIAJyuHniIfNcznhvnhUDeiD/PusAaab4/pDfOMHSEaWl1sgvsL9tGgcNBsL453tbfvyD3Eb1/vucCb8PRDNcUZ8dcTVMaNcbvovoCIh0hXcmZJrWr9oD6YO2ODdDL1feWEV9lL+vo96YoLVxBrz1ZpZlPagkcrcb5zk3g8Z0hKIU+Dgx3SofWsqdhHwKbFxd0+oY/IaXXedHCXL1ZNBXCuTWqmPCPHPZCtunMcxRsLhnS0vtU60Aaecyy0uQSqDWLdziCghJ6OYELpIbYHTapXbuUrOA1AraV083bV5Cu27xZlcFUQI735VdnpDcx4jHEk43S4uCE1WoSQLeojwK80gIKx+KCGXBvIwz7PoaIxIi60VPptqnXBRG3ERwZKHRGtu5nhC6vkpXywokkqeCVSrBrLlqbwuCdeRFUKyFjmGeGPy4t1fFGu2Jwf/H3reAVVVt348tEkcPcri8Q/CBoqgohBqWFKZpWr4flaVXK7tqWmlW5iutzEcv7WaplV29WlZmPkvTNPmJ+UhNCkVDUcMHSJAoR0HE8//GXHvBhtC/99bXzTr7+45Hztlrr7XX3mfPseYcc8y/1vX+n56tBgZXGoTOWOAz/XLb5TwGOplQr78fIzDoQh0DDQwud0QqH/aDt5GEhA9MSeRFWuDockGLOEx3/RMdjVloxsJA4RWBgV7JW/sMRjnlw3+6gCjqJfCMLgd1qiHCFYpDDaLFaVEvIxUZBp/2nCmr8mEFbYZ7e+GFxU+iDb7CDUV7YN95SVbdzB6g8aSbOmRnvnLN0OgwctICOD7MT3Lqpc22SwIMzrRQgCC4JBs+3xcrQ0UXP1e9tYC8fjYxVFyp+mxT43C2qIJMr3AxWoF7ClQ/WqCCZYb7+olRo8ZC7aQcBSaaAlnhDgEefpmF6jOGEbjytQOuQcoLQcNce0uOkjRuChyv6ye6AoGHC9RnNPQ8n6rqfAhatMHORYAQDm/FZhkbtQjC87PKPAZO4OjYQHHxc54oU5xdEixsfxL5CCasoQS/pELxdhztG4g3QC9DsCgl0thznNQWYD/sk+18i06rFNEfgeI+wAzHcAEt7EfXPaCXh54DAguGH0q9DDynDsDsyAGl+3PeddiA/dFrQJKjb34BPJlOynAPt1FuYPA/ffhdY527gcE1dsGu5eHOr6S6YmXmk5UALgcMrhRGqBQYiPJhRUlk6yyy1d1Y5RoEX2MjEj4GjJUuYFFlYkXWdk0xxfUOuhkzVa0ExnCfrBiyqHi1/NHLlVsmifyaC4iuDIBY23mitqsBjjRoJFigTkYajhrUPrCebSX5G0/eg60vx6LV4RTk1bWJK50rcBohvnMlK7ULaHxJIAxWgkDiIfBQFRiPOFRVRO5/HtURX7IdPrOKlZFvDbhaAFLPiSCBx4kC9ofWxjlUl8JDbEvDVvvNHLXavRVw3lFFTo7SwgIwgoGccG/Zl2Wg2RcNXM0lecq4M4WS2QjEZzT6vDGCgJxob+lDv+iuj1mWrtIoGY24E8gJ8pYUSqZpcj8aXxZG0mmAjPfTe8CVdmBmgdI+KAK2DYsRzwSLG510hgo3IbDmKdTFYemRIQUy/2m8I/ccEyDyTYdovIixUouB4OB0iS98PU6LoeZZ0XNDrQR6HGpuz5NSzARHVGvU6aS5Rf7CZeD4CCYIKgjspM3OPNFnKOwDPGWfLmEEghzqU5CPwHPg+RB8MHzB9gL8CKq4DXIDg2v52fl7j90NDH7vGf8L9/dbAANO39V4DLiPhBLEY3AlYMAj9sAa1wPKY1AKDLTB5vdWkp++gHGY4nqrDBiEXr3HYG7V/kr5UIABeQm6j4pnpoz//x8YsH0FcDDiHmyYcTPantqKM/6e+MnDX4yurhZIYBD4ekGpcRbmv5cJELwAVy3ghJ9fqZFn25udW2FjMSYaaBIVabCZSsi0Pr6HKwlfgggaVRpjkvxCXs1XwICVEFlamdOpC/04gDOhqtiSNvIEBiGL85UbnOmQJDhybCzOxNP0B85EeuKcR3UxjDTENNLCR2B4gfu3U9UjP3F0kxACj01jylLKXInrlTz5BhQrqn0qRxEWnUDyMEXwKwUGP/nCL+yUeA28cRa3YZPwFKTcMQmLJ4BtHZTEM8dDb8HpIl8x8sIrwM/ioSAIIYCJ2JMloOdon0CMx4ulwOCUMwi+9jJgoD0bpW0IDHqUAQOCEI6R/A2ek/aAcHxsUzs1R3mDuA10A4O/8KP3Pz51NzD4j6fM3eC/nQFrKOFykXse+0oeg8sBg/Iiwgo8PLENMO51AUeofKiNe2WwghyD3qhmJKtQwkarJHJl+7M3hhJeKwslkGMgZZevtJFjcLRMElmKKOlaCZWdmQIGEa5aOBShQgllRZQqE4y29D2kFxbO7i3VFYUkdwoo9lNZADSkdzjXwTbHdLtztU+jy9V5V7McM//mywvICAqR1WnLU6mqSiNDArXM7ALSB2iIddVos016UJgYyBtKvlXER736Zx9MQWwEOEOroLrzEgy6/ukMiFTlhCV+P/+SCiPodEVmJbD0M70bBCEcs9nmoEd9FVufn6c8Bkx/JaAIApK7xuED3C+kQBYpYtZAA7ty0XO9TdEhrrYlDPKpCpMkD4oTg00jfzC/nkgiU9yI7ZTbfocKQSATCYd3S1hgW2IMpmG0eAwYEjiVHQz/4FzxGLAN+yGYIG+gZXqqzEfGnSGSJUIvDos8ZWaHi5YB9QuoQ8AxKh2DXNVmD+DsWgXjvSaXpqBmOsPhbT9byi8gyKEMNkmIcZlpigNBMEUSrntzz8BVzoAbGFzlRLl3+/UzoIHBFUr/SCe/FhiUVlckMOBKSbIS9KZ716Q9ft4Ta1xd8TcjCfH0GPwftQ+08uHlzrsZprsmo4cxC5EMJTSgJDKVD68MDPq69mKO7SH40GNQmpVwpTZVEemqgR8acHkONP6BWQlaEvkK7YZ0wluzB8rqtl7+UXjSMPsDKXUjxXi1yU+GJ3X0aZRJhOMKnoZ3EHCmlid8sovVd3YgK9Ih8faYzHSRP5bPCQRotEloTFRGnhoA8h1j+1F+YvBinSmwvQRxnUu44nrzneWDwx2QjACTMuFqBBz2C0GoMws2RnIIDBjaoLeAfSUChdGATXMcLgJsc8CvtuIyvFugZJq5L8GBH7B7UKPSbAGmUv6U7y/1CCR2j9PiOWD2AA14zZWKtJfU70aVegh/KaBUnOUDW1geGjv2oQYKpA3d/QQG7U8kSyglOT4O0/GMqq+Ausg5HgRHwGk09DogXgZ6TugBCMVJJJ7YIWGB9A5hEn7QwIA1FtimqZdKa6Rcs/ZsSBvWZLjLExM9nisFBqzlwHRFah6wDUGOBhO35u2AQUIlt65uYPDrn2B/nSO4gcFf51r/z89USyLTPtT0U+Vgs5keZmYhMHTNxQ3Nnv5/ZetiXXjJKiTMYxBQ1OczkBK+fYHkDnFon78ehZv0ctacAhobjQvYYQgwovlUDMZccTcz7YxpYHpjURpu5PFflEC8KuLDAjlM0WOMmCu/r4tulu8ohFPZ5uFRIul5bMc4PMsS01hxY4aAtDUz2q2fMWbMfrj9Cw+Ia1zvX9bmYmnhI35HAhtTDunuDijJhU9uMVxVgSIvoKRqFZz1qiGGr+wcS8RQhqSbLPhQICfUWwry+J0yiYAMMdjUMXbaVVVAGsfOhzcqI94USAmPxAV4lRYaorHy21koFzmnrbdoI3Du6FYPOZEv14Hj4mbQ4NMT4AWpYHjOq7ppNOvJvPCcAvcXyPcuhxqHgATeLF5AYShw1u4t14OM/Z8QIPUbvnbejIKffIFtnkqAKAqwtVCKhHT3sy7B9TghngDyAVgQKnlvexUi4YuXn6JMIlrkgl+dE/D34NFzBSBw3jgX24viUVR4nRyX9wBljXk83jc8Pr0F/FtrIDDj4UPcg9zca6VF6QAAIABJREFUABT/5AOp6cS5kPoMxRK+oD6BbsNjkCfxufNOFGQFAFmGOh+p5aAUGm0BPyPYofqhcBOvD/ufgTH/89+/ewDXzgy4gcG1c62u/ZHWUsqH4nrm6pQbDQpXmblANivbmXUS6K22Vly0nnwdc9Gpsw/oA2DFAb7u8QK+LkxEH+cS3GH/QtLu6ucdKzWIHhcvwaZd515AsZci2bXGFuS0rwXMccF1rApApT5uOnRPW6+lGGnDQ4HXF/4DI6bPBXq7UBBWFfZnLyk3Nwl5FTcO1g5MfnEUJvR4RQR5To2qgcAbCpQxULigfHt+7gXs3tYIzSfsk/43TL0Zbe/aqvbVbbTbn3+zDV+tgeJhwCmHn4AZggUBCBuKxfWdMigSD+I9ZKKWrG5x2obOTZZgVerdioRHTYPQtqpK35bdykXfD5gQOgZpaIyle/sp78GTxXBduk4qNPI1OnISLuA6ITeSrHjWQxEeGeNneuK697sJN2FDk5vRduNWCV/sDY+QMcbsTFfVFNsCUxNHqFLEVDdc5APUARZ2641+y5aqNtERQiRM2L9bKTFGq7LHLK2843g8MNOm5Il1BIkGnqpZNL5EjywYxY0Fl6iYTRVBfk4jy+vHa83/82bjd2xHI8zPeSx9jTXI1CqEAYBnxzNo6H9AwB8JhQQLhQXVgQJTntBmwt0jnoocqOs4EBCwH45JA5KK/VR2X+kx6XeOk5u+FwC4vqnknnR/5J6By8yAGxi4b43fbwYiTGDAOLMGBsxfP3n1wIAggHUQ6HWwygLpDLWBDuCt06qgTUK39dh8qoOKs+qHJB+eFmAginpNgWo+uSj09QPWAq6TBs4NBy6aoKD4ovJu6K2aF+BTC3jth6EY1ektqfrnamyo3PkrAQMHMHXTCIz92wzgduDSXANp5qJdJx5Sv0FjkVKPiCsMDW7LlC92bG6KJt6pMraqptHj/88THDCB0Ut9Xp0yxdMV45/ubfIKGIdvsidDiIDM7R+COThSVAf5ySFC9IsYtheHMqOBlYBzUBX8y+sBAQb9MpeKYqGzbxVM9HpOvCprVvRURY+eAc53NGAbARS/AgxwzJMMg95YKix8ZhoISx++oiaY9mic5OJ/fH8X9ElajcIWwJf2tuJl6HlqjVRgZMhgbNQEbEA77NiVqGoo1AdmTh2Mxz9/W67X6vC2wnvoXfQJ7HMuCdic2mGEAIPU7S2VjDOBAaU1+aKh5d80tDTi/IwTTXIeAQO9AQQBujIibTj/TwDB1TjbEnnyODS8fFkMr7TV+3YuRmTtfUL2zDpUFygwV/baYGswwb95TNNrJWPgZ7xf+c6+dPkEDXDM4kylngX+zXMiuNFj4/+t1SQJDP5/wiC/31PA3dM1MANuYHANXKQ/yxB1rQQfxoD54gMrFzjrVDUSWFGRzy+dis7vK4YStBSQ5hFoxoBWS3zUD3gg9y0s6DEUIcsycHJjPVG/K11B8SFsGlF5uDJ+3QIIGngUOUYAsKg6XMUGcgcpMFBZ/1U9AP8IYOwPEzD1+ufFCLnuMJTQThHgMoEE99Obwb5YQDBtFCYYr4hxvLDWwHYaA8tmzS3QwMfmikB0+CExIFtPxiLYSCknAGXVZNRgIrItxOvBmPxcu1pJMw6vVfV0SiFX8y+tmCjqhzTAm+6JR+LhHZhdd4CER8h4Z5U+yuwqLcLrhAk/esUbQPdiqaL49uL+ePjwIrxTtx/+cfwd8T4kNFkv8XHtoqe7/i58hpzAWjLfQ9e8hmfxvHgFGGfPLQnAnR6fC1mS3g16A5jdMOnoZCDaU4zz3ekL8NGpgUgKuhFjMFVkgdmmK5GMUCVUSuYrRU8i3zcEKMwFOvurstE0xrq6Io0xeQ00ugQG/Jvf0WNAQ2t9MfWRwIAr+7WmwWbbAjNdVFdS1MCAf7cyj8XjfmkBFfybx2ZGB4GJBh98Z9/8jPt8YoIV/v8nVacBtupqHNyHx9fghn8TRCw32xDk/KSDc8GqDzcw+LM8Qn+383ADg99tqt0dpZs6BlZjq40aAQFDxfyO7+QLcLPKC1WcwYokRh7riSCgTfYaJP2tI6rsd6JklTdAkp017G9dkhMYtALqvEJ9AC9gTl24vBQwOH8ZYMB+gyOBR354FbONJxQwuN/AuQRV80EDilKaowfgWRXw8QcmHycweAqoH4wLOw1s8i0TW7aen25LAPQ3VyRiDbpWgK2uWHiawKAS9YJS1cd4Gp/nlBEaHDQTb694XAxLTPw2IdpRrKcrVokxbffR18C96UC/SMxcOFjCAFzdfzxvgBiWwPt/lLg4wQG/o+HutGIT0D0ZqJOAvoffwyN4UwR+Pn5zgFq5dgciGu4VcDASM8Rn0SR/Lwp9z7F+MRLPrsVzmCg8i3nzhiuD2BtoFLNbUvyo5Mf4eM/cZSgOoKHzQ4zrO6xAV5FfHrFlrlIq7A7c1HCjHP8ufI4G+AFDMRtpBi3tdqB3e2CaS4oU1bEfkdj79ux4XPqQrEoLMKCh5YpfgwJt8Mn5DHEBmwx1H3E1fozGerfJwGys2mhgYPUyMCTwodlGGlJtKAgIaK60FmjU+c6+ooEq9Z24tJ9lpM1wAtvLSfJuiFdggPt3N9tGAX5Rx6UIE2YZytMgYQjW7OAvqhlgU3eS22Pgfv7+JzPgBgb/yWy59/1VM5BtAgOupGkouWkXuF7x83FGfoGuBqA7VFUD1Ga16zSc/E6Xch4aCnQ//gFW3NAXjm1ZOP3p9apMsLWhPqiO7bcAGjxLqeFmwCcGXBcMuIarselwgoAUcwAcu2ddYPS3k/BS+EQFDO40gLvMwWmPhPYY6IETGHxjegzaAOdXG8jwLgMGmsLAvqy5E05XNG6s8b3yGJyPRXUTGOgKCVbwpOepeRcgb6WqccDY/uqkPmJYGjXZLat4CuFQPIcZCg998YEYZWYk9JvxjrDaP8I9SP6ivQCD2on7xVjTUGvPwdgVM4DuLqCVgUZbd6MLVgnRb8cXiTJOW0Ie6jqOCOOfK3oy8x/Mfw+F0X6yOg77Kl08EaxfsPWztmrVe3shomuSkV9G6pt66DmghSHGNyQzAy9ivLSZt324WvXfXoiEmpvF4DOXn2l6U5xjUeAdqO6iWcFIGLZeGPtUe+R+JApuwc04ne+Lwj1+CpRocqGVlOoLhMWnC4HzQFFD5C8PUWCCxpcrc+6rvRAaGAQAVVo4ER6ciRO5oaqcNNvoymBcwWsvBA29Gb4Ia5Iuc8zsj/TtMWpM9FIQF+hQgwYgbZTHICQmQ7IQSCJNTWqp9mc7ekEYSmBf2mPw/0uy+VW/bHfjP9sMuIHBn+2K/pHPp6bJMWBc3wwlyAOMhrQQOJenVtxpJYqTaC0nVFmpZX5GvgHf6WXg655wYOSPUzDzqTGIfvkbfL/xRiVcU9FHb52nWKB5v83Y3TRBQITruAGMMx+u2tNAz4LVApN8+Nk/MGLkXHFVX6prwHi8AsfAVBEs7YrkwzmjMOEmRT7Mn3YdfGoVy9gYfuAmIQcrAqoKrD+egA7hm+XzHYebwtdIFSBkBQYV1RaaTQdGPj1FVP+EYHj0eikBHOp/opSFT0NJ1/viAw+qlS1d1QlAlQBnaYnhavbzCMePwjWga58hCLbJWNFEubxpGOmdYNs6QEjDDAk40ABzb2uWxc785ihcy3QUi9ESl3ghbN7nEOo4KTwI9pFZEo7TP/niUipLJJpz0hEIbP6jqpR4LFCOE9IkQ7wZrP3AbATqFBSsDVT8h6pAo2924208LBkEUaeOyk3irFsFR7zqyHnQY0LDyv+TC0F+BEWgeCwClDvxmRhfciS4L79X6oZB0oZ8iwJnDYTbMwUE6YJG1DnQQk/kT7At2/AzrT6p5uaizJdUQsQ+Cddo1UgmUfL4WrGS53ad7QJqeKi5ZWYHX5wvgh09JnIvOM5D2fWVB4IeAwpLuTf3DFzlDLiBwVVOlHu332AGNPnQwjEoBQZOxTfgKv17pwIG2vDxncZfFyjWoQh+xgWXBgb0MvQKB8b+OAFTpz+PuNHJ2LX9FgUMrJsl9i8fNwVu7rEBW29rC7zrgutQFSklLAZMr/4rAQazPx6AR16dD/QuRkGITWUlmCBHjqtz8DW4sAPPPfc0JnWZLuGL3HHV4NeoUIU52Jc2mNYMBQ9gbVoiOkVuUsAgrSmuN4GBlU+msYQGCJHvAF0GfYzNRbdI2WCW561atQT+9lypRUBDSfc7jdaao12ATZ6WVDm61YtRu/YhMUA0kHynwWKO/tl8bxQm+ynXNTcNZm4H4uKThZdAo8dNcxLYT3Z+EAqP+ZUx7+ldjwUcnbMkbZCreuoEyAr4UAvgmFGWDcA+6HonkJDYfCGqVC1BvWDWJDwkxnF7/o0oPOinVswEOt5Ah1UrsAj9EHiqQK2oSWCh9gIFmuxKNlkrLh5EPfm/Nsg8b6aX0mDT0FI1UZ8P9yNAoGgSyZ30phAY8BwYook6fFT4K8V24IJNFZKiwWY7GnECBW6EBqzzcDO2iLYC/+Zc8Z1CSVrGmZkgBBQaaPGdfAxKLZ9HNXAWOG8auHGcHNuB/AYouVgVF/z1r+c3+B27D/GnnwE3MPjTX+I/zgkW+yqPgSdlBShAw4c9MwToNXACuSdUXF+nHupFvq4KoJn7WseAf+sSyyQu0s4QGDz349OYNHc64gYnY9fhW5RMrpbT1dOhLSkNfiTQpvUaJD3QEVWmOVFywRt43WR5mwp7uoZAqSH0BxY8dzcGpnyEsJh0fIqeaLkzVfXD3Hpt5HU/Zh2CgfFvYUGfoQIMDo26HhF3ZZWev9hSXa9Aj9MDWL2hLbq03yCfbFh/M9o22qr6IZiq6GnQoOJ54LmBT+NbxMoqlStRLxSJkScwoPHWxn7eoWHAfEOhrI6FUheAPAQaRBotro+px896C1zBkny4e3tCmceAZLgQ4KYmG0VvgatmvbFkMfP1mfVPw5aZG47igmrAQVNTIKEQnWuuEoPKPH++cz8WPso6EKFuBoYMOI+3K48EvRHcl+On+535+jTa1B+gIRTdCsbpbUCvZYuwJK8/DBZ8sgIDZsZo4FZVqUL+4Igo9SJwDAIMnEthY7taQEZ4iBhtzgVX+TTyoqYIfwFZBAd/w2k02ZkB7DKRbIQCIHKf8+UDnLlBFaXSYINeg9Z5u2EQ0HDfukChAzhnt5XWqSCYsAIDXkvyRCg65bID+/wixOPBjaCBwIBttB7HXNCd5d7cM3B1M+AGBlc3T+69foMZ0ByDYIICrti4kahGJn8+cCRPkQ4ZEqhM208DBNovHkIyFExDeLxEqe72CgWmHh+Bse/PQNz9yfi/okTYt1wq7afcaRAU0DhEAnfUXY51L3aD94gcpNsjEbLEFPqhkdcGW6+MTSW+JX06Yxwmi5EahHdlxUejReNWtaRE9P+1EFGRmFgvPIx3kNS/owCDXcMaI25ImjLyPGFrPxyo2d+KDzqg+8NfCNhY/q870O2+dep8tAqUBh86y4Lv/YAVfTtIpT+uIvnSwIDv3KgdwJXr5L1TlOs9AWg0bLfUDqD7nOejPQY8L7rXKcjENosODQJmKjDhGJ4lCn/dsRyPFf1TlSNWHSCjbggW4u+y+lX6gvVwvqg68rP8gQJPRDf5Bv3xb1EEZCyfIITgg7yIb/NjFQdgk7pOtiF5uNnxtXg7OEaOicaYjn+CFUofU9gobVccMEm1GbBkNubvf0RVgqThZV6rrr/AeeL1JTClTY1SBvm03SFGX9QUFxcoIx9LHgmNdRXYv7+kbjZ/oDgeOO3wVtUMeWxeE3qoWPKY9zjDLPSQkXdIbgINPzkG7I83MQEKwd1GM02Rn9HtT4eCRbxJKl8G+ZV6DLxKilQlS3ptePxWQHE44EnwwTFUBbKiHDLf3BLkJNybewaubgbcwODq5sm9128wAzorIZg6AMqTWrrqzcsHaNx1dgLtpHWzEg7pUaanQKfm8Z0eA77uCQWePP4CXp0wHpEvpOCHzNjSqnlaX79UGIgNCQyigHaJq7Dxgc7ApGKcD7hOFQviQ5YPZ71psiLfg4AFj9+NgUcXIaL2D3gTw9AuP6nswayZhNY2dqBL0MdY3b6PGOHUifXQpGdG5cDA4tFY+0UiOvXZJAZk1bJ26HzHxrKxWRmLGrgQLPUFvnk8Wkw8DS0BAqEJjS+NPVf1NHxc0Y/e9YZKV+wMJI5eK3UAVGLiBdmXbWiEdRyeK+RXD4xXWgHRQO2p+yX7INYkNCp+wXnxTHCVS48BV7NCTkxJlAvnXSdHNP5rIVOVCcZp4TIQIHBMn+MuASKpu1qq1b834JiWhS5eqyQuTzU/rozpMaiDw+L/IGhhfxIaGegp85WweT0+xL0Iys+DJ20jb6xI4ExTVbiphrMAXkXAz342cdsTQPHM+c75SUxX8sUEBtvqxsjn9FCE5ucIIOCqnCBCKUWckvMITCpQbVjXoRXgdFSBPc0EEwSVNwDOIKXsyLY8n4jULAVcggBnOxV64BxyfBdsntjnoUIJ+prwXepQ7CwWYJARFSKAjW1YtImcC33defs+gbd+g1+w+xB/lRlwA4O/ypX+A5znUjMroTqAGuZ4tMEnIGBmAr0C/L9OV6w4bCsY4Heaha+zEh4LBWKPb0WK0Qo46IJraRVlWC6X28eDtAaaLtyBVKMhMN8HLg8D54aojASKG1k3nU3hUxeYkDYGk+tOEaPq6mpIASLpx6qSyMbave8Antv2NCYZ04E2QMFaD5ywqdW15gtY+Y38nOGSn5iVcD2XnMDmk81Rx9hdSj6sOD96Pup2gYRDuGJnCeEVH/UV48psgQAHSXWfi5eDhLUuH20A7s0G+gVj0sLRonXAFfvHGwbI4b1b5eB6+wnR+78P74vR6Z70BdDmDNDKB523LsHf8W/RJPh37t8lVEB+AgGFzkqgwbwf7yMnspZkJcStScYDmC9gYemufoq5H1uIiJqHxAtA0h/fh5e8ibyAmgLgIk+m4DU8ga/RGlOPjwVSbagS60TD4AOSaaHSFQ9gDKYhtUZLoOAc8G51JD60VooSNcI+cfV/ixuwGbeAXhwaUnpQGOrIOVBLeWJCVDiFBpbZGxwHjexm5y1SgplESdYnEHLkTrvKqIiFhJQIiuhpYRsacoYaWIKZhEENro4eiDLFl1wIq6fKMjNsQ5BDzwcphdR1kFvHowQXiq5D/s4QFVaRlMVCePuelaJOmkDKfkgwRdUSeNouCK/k0h67CsOQfOiOJPwBnoDXzhDcwODauVbX/Ehn63RFy5lYqyxaQUJlQm06k4zNrdUUrRMzLhzwTT+JfNv3QHJ7uOYYSF5UBiD0vtaFdvNooN73qcgwUoFJ98B1ycBHJB9eQUchDsDLLuoYJALdm8P1dwNLe175EtF7nObqh38YU4E6YXBtN7Ao+PJlpDUwqEeBI+OQHHyXqzGyjbRfCC/pnvV8dmJO/uvK1d3WsQ7JfdurDILbFWOzV/NFeAlPCYHuprl7gCErgY5dMX/NPaIm2MdrCdb076mADttEATe13iiGmavV5l/sAzquAUI64aGTs0SrgIWHlo4xjXyCatOo9W68jsfF6DXJ3YvigGNA1cboULxC+qf2wbwJw9UKm21igcB2P4oHhoz727AR6QZ9/zUQ59qCJeiDj3CvhIpEPIj8hlZAYMyPmIZnBPDcj0XYaHQ2dQzigfFAlRAFIGiERTL5E5sCATqlj8adY2BYgXNHdz+NcGwh/EJykbenphI4In1CE0XZhvwDfsaQAefJ1Bqw1clTREiO0SpRrEWVSIhhGw7TbOOok6VCLGs9FWGGG/viOHUqIuNoWuBIxukCfjJUuEWnUPKHwvPg+Whg8PM1//hwn8DvOANuYPA7TvZfvauPTGBgNbg0ZHzR0NNjwOegXv1fDgBUZODr/coJHAV2BPYUwvVVNSVMox/m1ougXe/xQIPp1DGIVMqH1xnAcEXs0zoLpYa3KkAdBiMCGP3NJLxUV6kGuvoYQDezn4q1EnQ/9BhsehqTPJXHIHd9NVS1FYpXQospWdMOZfXvAaRfjMFNkXvkHDYdjkdL7x3lhJSsoECrLfozTj1cGbixkRMwde/zUgCIK1StgEiPAd3PbT7bDnTOBYb7Y94b94kmwRSMxcztY6RP79gcBNlPiaFmG25ttmwHEo4BCWEYvvklDMNbQhicUTIS5wqqIdyRKa51aguQ2U+PAfUMRPkwGuj21WKMxEzxMkzPHo1Lx+zwjsqRtD+CiB5YJu9/xwJkVYsQb8eNOUmSesgV9UQ8j5yUWnBEZaGO1xHhJnDcXHk/hZew+28JwOli4ENPdL5nifA+yEUgMODqn2EHegx0YSO69MnsZyokQxzaJc8Kh/R8sM0mZxucK6gu5ZTpgaA6Y1ZKhACDKlFONA5m9UW1+qcHgx4DjpXESB6DL0lxLGmMvGNBUiSpjsdh6YvzRC8DAxJsQ08Oj0U+Bce5L7+xAhohhahdU52H1pbgMbfjRpx0hsrY6RXhdiC7oTtd8a/+0P0vz98NDP7LiXM3+89nYFMFYGCVN9bCRrTfBAgaJFTshTZWpy5aFRQ1mBjkB0zLHYGx82ag0UO7kYREBO4sUAe08gXYEeO9plJd49BdSOsSJ7LAF8IMeDIrQXMMdLqhLlLEVWYQ8NrTQzFq6VuokuBEUvCtSNi5W7WpSArU7RxA/9ZvY1H7hxX58IXGiHsgTbXR5EOesLUYkhew+tO26NJXZSUsXXwnet63pjz50Iq0dFolF9lcWYYCeztEYKXEOXjKRRKbpxGiARPlw0NbgO6GcAbmDbhPhI9oODfjVonk0wiRiU8jxfg6DdF9B5YLuMG9wJgZz0rFSBpXGjSGGjQPgARHki4Zm5+O0Ugd01I8Fn0HvyfGX+sDcD/2wxfbq1z+6piRPwKFHf3E25GwZj0mY7xkAej8fu5P0MFxan7AHAxG1k3KYMekbROOgVSOZDVHp6rceNCrnvAUGudlqIyFIOBoaGBpbQeeBw0s+Q+BJwqwP7Q2vsTtkklAgHRD0R6c9lKphwQIOv2T44nIzFLkxEhgW3iMnNUtzmTYeAl578SqNElyGfgdr0fkqWMqRzcU2B3ZSFIgGRaJOJwlnIz08DABGpofItfQeQy2TJXpkBIaKfRNApKGznR4XFRZFiR9cuvMYhfuzT0DVzkDbmBwlRPl3u3Xz4AGBponwCOSa0BDr7MRNNeAdpxbRWoA2+p0RX6vwYEVGLycOxyj338D0fd/g7XoiJqpeQoUWIEBG/MhbQdckUATv11I6xMn7PzzYYYiH+oywBXFkcgsDwJef/wfGPHZXInbf+bojLb7tyqDTXa63qyEQAdwX+w8LO70oBjtHRObouWQ1PJgohIjv/rjtujywAaZjI8XdkGfB1b/EkxoQKFFlciIJzAIAvZ3qC2pfGoXRdqzAoM2R5OB7p7i+Xh7QH/Jjd+J5kIaVAa7oDSjQRP97j60EmhjiGIigQE5BjRyNOjsQfejDTYN6nQ8g5TnqD8N9B2ggIEmNGoAQsPKFbIS6fklMKCMMoEBSZX8XoMJnhv7IAiZi8E4dkukAgbfb8P7uF+AQWheHgzW5Qj1RKaH0gQQ0SMCA38gq66jNF2RBEgem7yKkFP52B+kgAGNOYFBrDNFSjxr8iGPr9M6BRhkAIgAdoc3kmPemrcDBqtW8vq0UORDlr7mfHGTcRBMhAIpdSMlxENgUHt/jgDFo5GBAgy0eBSJnaHOrFJgQOBCbwO9EqwmalwE0oPChJrJrT02//ofsPsIf5kZcAODv8yl/t+fqCYf6vCBFSDoUII28JpjUJlgoVUeWZ+VVkl8LAjonb0QS1v2g+3LPJxP9QeWmDFXLVZkTXHgIFoAjQfvQlq1OBHGcQUYwKgyRcZyM6fjGLWAqZ+NwNi+MyQ18NRdNRD4ZIECBlr7oCKT0AGMnmmGHxKAQwuvR0TTLIV+2EanK1rBQVUg+Yc43NJ+l+y35qs26NgqqVTHQNrqzAfrQAkKBqlV64SgMZiSPQ7X2YpQ36HU+ViL4DHnLJywh6De9pNAq3PA8Op49Y1HJE7/TzyG2QeekD4Dm1D58Gfchk1SE4Fb7N4fgOgzQIIP+m1+RzwGlNthyiCNJ4EHmfpMeyRhkX12w0qk3NBKYvi9Fi/CI3hLjO1bRY8g/1gwQuodFsNGlz/lkklcvBeLkV4jRgxqTM42zMIwcbVPKRqH/NQQ2Oor6WX2NxhzxWgPxywsrdtPkfWmASGjy2sf0IBqgSH2x7GJsJGznpAL9UYSXx3/w+I5YJujR+sBF6vCFvAzfB2nRfGwIDVQcQjql6k+EiDwmFJ2Gf4CrrRGA7MnRAsiX5XVpOiUR9UShHqdkBCPVlY8V1Id1T3OCTihBkXG0QYAyzT7AuQveNkuIMgrWzwV1qJT5H8or4sHDuQ2RPFBJWzkiv/f//7dI7h2ZsANDK6da3XNj/QdM5RglTfWJ2XlFejSw9oboG1fRdnfyibkiXCgwY/kC4QBO/3hYvEb2rLKshJ4ABrj1kCDj9nGE5jVWIooHXu4THlR92MlP0YGAc9lP41JgdNVrYSeBnBHBbVEq8FmPz7AS2nDMdrzjVKOgatqoRRdMmvoCd/CSsjk/7NYRKnlD0Io2/R9PBKDd5RWcBTjYlFy1OWhPekgeE6tNO/GEuwYmmghH7owvN7LeOPwaDhDq8D7yxKg83rg9vaYsn6kcAFYkjl5aHs1byQF1gc6tF6B9/AgapSchSP1AhC7CQhogw45K4R7QMJg0osdFRmPbaJd6FBvJRZgAELS8xEbaWaL1Ac6py+R6opv4hEsmD5UEeVIxotVtRno/m91OAW31F2HZKO1+JUiXd/hffSTSpEzp49RxD62aQV4356Djfa2aLkyFWO7TsDUGs8DBd8Bvs1UyIMhI+a58l2XUObkccHOVbwmH0pWgkVhUSstkjeVfTDqAAAgAElEQVSiiYfcR5dEJuGPfqswT+Wh0WRGXVpZl3Fme92GREKSC9k3j8/7hO96Xw0o2R/HpYmEhaaSB4mRuvyybm/WRCglK7IN+5HxAS7XNf/4cJ/A7zgDbmDwO072X70rDQw0t8A6HzpNUa/8K3oMrITDiqWQrccZHQ7U+5EZBg5gZxhcnxlwkS9wmY2G1PNWoMFKAoOLwMzmcNkM7GO64hUuWCMH8PzpMZjsOQV4BnDdY4gevVRWNBvq1EYxHReB6g7gteNDMcp4S4xV/pfXIbdqsfRzuSwLtj1HYNDoB0U+TFfkQ2sqpbUf3Zc/KQVTgONRfuiKFdjdP0EZEzLn6wMPxczCuyceRV6oDf4rzgPd1wC3d8L09Y+KpC+FmJL7lwcGCXesxyLcr0Scdp0HWqwHfNuj08+fymqdKY5JYzoqYybAALip+UYsxr2onZmDxuG7kGbcANQx0Onwp1JdkZ6JRRMeVsCAhjUaCLkrQ7IPEjJ34+bwDdjK1FN4ItK1Dx+irwCDV6ePV1kCJjDwbHMGG/1vQ8LG3Xiy7Qt4tdp4oHAXENJcnTONsFmwSDwJNJiceM6JFRjQoBIY8MXPNZigkSag0AZeAwVh/buAMEOdsy7vrA21voe4v25DvQIeS5dO5r7sT5fg5n4cG/vki4BCMiaKgaqeZRUZ9TjZhybX6n40mHADg7/6Y/e/On83MPivps3d6L+ZAWu6YmWrf2thoMulK+pnYMX+NXAYHQoEHT+KHCMHSG4O1xIDh01gcDmPQxg9BskEBqeAae3hMgysH12+h4olnptJuuILeJVll4dXh6u3gX1tKudE6CPRebzE9RAeNWYDsZ64sMnAdrPssrU3awSC/XozXTHwkBx8x89NYTdSrwhaeKxmzEqYDuTF25CI/0PqbS3LgEEdoFu3xfjQeR+y7YGos+AUMHAp0KYX3vhqkMT++2AJtrZvW85jEDNAEfkIDMK25AIJKwHfruj1swoLPI9nkfRwR2X0aMujgIhee/EpeqBxfjoiHD/gmOED+Aajw88rhEhIMLH40QfV6tb0GNi652GZoyfuyEtCC7/N2M2ql6iGRq7vBTD8G3/HSy9OVMCAZZHZrk0xltfujG7p6zAw8i0sMIaq0oRRCRLqESPM9D4aX/ZFxUBrBUJruiLBAKs26xLKbKurHVYEBtYUR+2ZIABhGxp1tqNh14abn2mPAffj2DVooaHnvjTm3E/3pYGBBhO6DcfIY3A/9qPTIjU40FUg3R6D/+Zx9Zdu4wYGf+nL//uefGUeA2u4QIMBK0CozGBWxjvQ+xEYXH/8ELKMn4FtzeFaaCD9zfKFESuedd2KwKDEwBpWVzS3ilQBMbylwOAxYIiPpCvuavfL+bQCCqo1rnINwCP0GMRWx6UNBr5UoeZym7UN+/4bgcHfTGBwtimqVAIMKo6xOWPKrwJnWnmitceWMmBA4xUGdLrnU1n9k+TXYEEmMHAlcHtXvL2+v0gb98SnSG7fXhkdtqkDRD/0jRjmMmCwBgjohL457wn3gDoGG/t3VsCAxisKCBmQgc/QGY2daahr53VxAL7+4mUgMHgFT2Lx0AfLQgnRgGf3M/jUvwdud25EazuBAVUjqiHGtd0EBv0x+dUpwGoLMEgoxse1e6LPidW4L3QeFhsPKh2DFvHAwDKtAPgWAjttKu9fAwNOHo0qV/80wjS4GhjoEsk01lzp6zACb0Jr+IEAhR4DGnkCEBp56/cVgQHnSGsSsA37IyDRwEGHELSR12CC+1iBAdtxTBw7j6mRc0WPwZXcbL/vY8Dd2zUwA25gcA1cpD/NEHXZZabS8YHLuDuZ2CyLeAY4zCJKZoYCsxK0PDL/rwmHfNe1EshVCLYDdKWn5QPfsURAEPBktpJEjn7hG3y/3Sy7zDQ+vrhZCyrRjRsNNLhzD9LDY6QwkCtDpe6VKhbqC2AlB4YCi7d1w31vLge6F6IgwA7785cu7zKgYbADI5+dgpmNxoh7+/w0AxdMYFC1qjoPhhwYJtBbNRuw73QkYrv8IB/tWNUULfxTJWThaZ4P9RY0t0DzDQxyDMYBOVHekib4z9zH4GUrQj27qgDYDN9L9gFJd0PyZ6PwGT9UmeTE8eCaCFmXj5c6DMfoz96Q83F0VFoBrObHkAEZ8W3xFY7eFiXpigsH90a/E0sxNnQCps59Xq1ezVVzo167sR7tJTNkbPQETKVyVBSwMEa1WRTaCw/mvickucD4HyWf36pjMAZTse6BbrICn/TyaEzc8xKSY+PQE8uQk1QLIYkZaI2vEYRTotjIagz0XHzcY4BamXc3gY2O/WvxH21wtUHl5zrGz9W+Gf93tMkSYqAoIx4KBwoMxQ+gEeZ10poV0Uoh0td+Grdgs1mRsbqkHWoSIlUNmYpJciYJidQdEPLiRcAz6oyUxD5bUkOJKREY6PCFFjliX9Zxco754vccEwEC23H+rZ4NegyW/WmeIu4T+R1mwA0MfodJdndhzsA4Qz3YOgD7W9cWAxOxJUs9wJkytqWscMy5fCDPLL9M3GDVPLjdDzAamcVjWISGBnIjkLwTaO0HHMwNE5EbMuLJvidzmyljfEAzv54rXqZ96VQ65qw/jZeR9mYcIobtxaE90UpG2boM58PXCgyoTz89RIR2yNinHC8Nmi43XIYldOreRUmlexyvY93IbkoSuaMH7AmX1PiZAlkRtPDvqkDKpkjEvq6Awa7HGyOuDRPeLW1oBKzlofldIuAaDpzw8xPhHqatcWxkzJO5ztoJrLyoUwz53gPLMXz+PHGzH50TiAH4t8wXsxGoX8B55Dly3qZhNBYcHYSbam9GUn47eC4C1g9LQIcDm8sp8N3UbiO25LWDsQE42idQshYoDvRw5iIwtb6wD/CifYyk58XiW1BQiMfnNSGDn1kLn+T2RrB/NjaiLSInHgN6AJNjRwm7n2CAWRS6miCzB1ahC5Yu7aeMpV6Jc474t6lsGNj8RyU1/GGIRBxkP1EuLFtaewecRjv7lyI7zBRKXXaZ/R7MryeyyKEeqo4E54WghlkOA/MXwXOdef/oQl3RkJRH3vPh+VnwzAPW100QEMNzZR88hir7XE+0EQQ47A+Ue4DKjb4Bp5UM80G7Oo8wwBZC0QzgQqEXLl30APbb1PloroRSVobrfvdTyD0DVz8DbmBw9XPl3vPXzsAIExjcCuR09YZUiPuiWLmRdfW7PMCVC7Co0pkS5SGl9o/2GLDOQqIdqE5gYJaoFcOaBGzaDyT6AftyI/AYXpdVMdPemDanSw9bgQEf9vycxoRku4znmiBsYjoydzZQmQzWrSIw8Af2zoyQOgRcrTJdjxr5PH5lm662OAALsObhngoY9PaAvcWlsvK/bMjm2sibWQ0p2yIR+6LpMRjXFC0TOGGWNEXuXwkwYLrimVqeOODRUIABAQF1CGjIKGDEQkVn4S3hBAIDztWY+TNlLrP+5cCDeE/ABLMUWGdAdVkiAIshgDVbeiK69Tf4/sSNwFxg23MxuOn4NuCgTVzpngFncKf/Z/h3yQAp9pMcHyeVFmk8J554CeAqtg8wOWiUGMdbsRnNsVMMMKsk6sJL61K6SYreTkdLNBmdAfQEXosfKsCAaofdTq1DoR343N5J9A2o2ZA8t70CAlxR0/1OQ6nJgwQBsYVAoRew3FB8A+7HkAkNqb6EAUBcw2RJn+Q502jznvnB2VAZbBvgqJ+Fal7npBhUA/wgwIulp+My0wTwcVwsgnTQg6a/XqmGBNMZqfpIjgVrKVABkSmXooyIxjid74vCY0S55t2kyYn0CtAjwDFayYf8nOfI/TV/gueigUEFzsyv/Sm72/+5Z8ANDP7c1/ePdXbBhhoPQwlc6XOjchstfx5w7IQSKOQaiC+u3fiuuQcaHPA5z+q0WgGRn/NZyXX0AK18OHcG4gYnY9eJW8TQldu0ZoBeqTcF/COPIc+7psStXXmGqjZ4Ucki643uepFDpsGuBcz+ZgAeGTpfyG3nYw3YzDalRlo3tBRRGjlrCmbWGAN0BM7PN3CS7usKm1VmgeeWT47BTYpjsPWbWDTzTikXbpDwg6nOWM2LufFAdXIMHlBzvbd1hBghApgeRcuk0t/G2JvwIsZKKeSjS6Mk9S9w9o84lVQbWARkvaOAAUEE6yC0OpEi6nqsU/ADGmDp+/2AIUonQOSgBwE5K73RBHuRm+2Pe4I/wi34v1JBHrrOWdzoaN8oMcA7BjdFyymp0m5k0BRx1RNctU3dipxoFf4geEne0F71EwXMW3UfHhy3WDwGL7UYLtUQB+JfSFi3W85zcuQo8RbsSEoU4SVxq+u6B5xjzfbXniBONG8cAgadzsiQg+YDWMmH3IdGlwaY/+exeRydlkhgocmN5ADwb00+ZL86NMBx6EwI7e7nZ9xf8xJo2HUfOmSh+7FmPWjDz+MQQbMPvjhG+fVwgOo3505X/GM9Cv/oo3EDgz/6FfoTjS/Z1DEgCU9z7nSaopZEtvIKrGl81mnQOghWkp7WQXjUAQw4PQ+Lb3sQjrVZOL3leuDTCrwC6+qa4KAVcF2XfBQHpP8iXbFidoQWZWrqBzyVy6yE8apWwgADZ1opjkBldQ+qeQB+DlOu2XgGqB+MCzsNbLJkJWgntpmtXho+CSQwqHFIDNvm4ubwM3aL7bKOTbfl3HBemhF89VcALL1fGP6N/rLyffDwYiHRfdMnGkMwG9/nNkPxkz7AfADLAVc9Q4ovHX/HT4ABRXem4hnUXpcjCor0kDAEkdUpAli7FOjYC5feN2C0A1wbgPp+qbLqpUYBhY0IPAhK6LGY9+ZwYHgyEJCAD3K6o+/EFcAwYHDQTPEYjMMU0SFwJQD3+83DFyV3IO+ZmsAr2wHciPGucXhh4lSgCzC1xQgcQAM8hjcQtyhNjPIjLV7Fv/IHonCmHzCJjBNCxU5AiI+ykRoQlBpPJvdXRmXVdx5n01DGXzQEdlsEuyuqbdCyq+wJpc3JjeoUrIpZUeBbX61GgHek4jNo7QQCAYbWhHhDxKxlNDUltyYAkjGNMh0E0Tvg/kQ5PDZ1RPmuf10EBkzNcG/uGbi6GXADg6ubJ/dev8UMaI+BRgZ8/nL1zlcRkJutjCoXZuQk6scz3/lM5yOXmwYGDCvwUPyOj096jgc6gDdOD8Wo99/CjfcnITm/DTwregwq1j5oBDStuwOpnVoCMwFXsSGpfqXlk63nro1LKPD6K//AiHlzgY6FOFSzLiLezfplGytPwQd4pO+rmH3bE8JgP/aCP2q2VDHiy24ewPptCejQXknablofj8RGO8oTKCsbX0/gzHRPHPaoIytr8gwY26cyIPX0l6OHaAhQAZAkPhqjKvc68U7ww4jFHjG6dGlT9Y8hhpp78pAUeyOexkvY52yMguWBSmCoO/B2t/7ohU+wCy3wFW6T0bBscgvnbuyzN8JC9BfN/g3O21HwYaDE84cmvib7MGyg+Q8MWTTZk4GM2BD0xYfYkZKojCRj5mFA54lLxHuhayXQvU8OSULqbuRF24SQmLSlo8oe+ND0ELB6IbkD3oBnnTOo7n0OZ0/XwKXTZpyeN41O8+PAebNx9c2XWddAjLb2IujvaYP1/nznvtoToLMSNFGQ33N/3Uav/jV5kfuRjMsQh9Yv0F4Anr/2dOgfgiZSsg370uRDrXuguRQEGaqeElz0zLk39wxc5Qy4gcFVTpR7t99gBsgx4EZrzhrE3E6YCyNdSIha9luA9UVlVRb53KNQLZtY5ZD5d2S44hrkpgM7ShT/IKcgUMiEJHPRnc14Lol/JLVV3BhD5wqXq1pWqCNhkSp+JNtZN1VhQBUH0lsmaoGa+uQp0PAyBm39Xvep6wawHWPnO3NbiNTuHAxF2z1b1eGsK1oOk+DF7Oq16KEY9dFbYnzWdGuDjhOTfrnQ1W3MwTnHVkFHr7USc78dX8o8cDyM25NXQN19rua5Ma7PCDhd96tX9BGjmDh6LeZgiMwdCXPkSHzi0RtPlbyMvCOh6FRvmRyXx3977+NivDsPXoJVh+8urT3A60Ldf6YxHkFdqacwuGgu9nk1Rqvsbbj0jB1VpjnxWfBdwmEgIZRztQltcPfRT4FFnvAccgaP+f9TYvuzDj0FvGsIGBkRP1U4HeSPkBTJcQw8vgCYZRNtA0f3LJEMJqghQZG8hog9Wep+05sDON7aTwAQN/bBOVqGHvgkvxdqOAoEvLDYFL0tN2K7cCxIiORc6fuJ78w4IIGSxabIlWCdA95LcXvSBLVmdXBIO27kITBEQxD1LwyU+48Ez3hsFw/NDfhW5p3fL0d3+Z6hGN5/UieCUseF16FtTR5xgxRW4ouj53Vl/Qa24QiOZKtaCSVM33Fv7hm4yhlwA4OrnCj3br/BDIw2yYcaGNDw8UHNRTPjonx3AueSgDVOZfu0E5bAgNwCqwIieQZ16TJ3AGfSgO1FQGs74CzwBtPcuDJmERw+NPnQ54NVF/jRZ0NDTsPOBz0fqAQTXIWG4mQlwEBlGOiNx+IDm+Q9GjNdya7se9UfNxpXbqyA9yPCxVBNwxi0z+RyuKyiosviYTDMVLipoSMw9rMZChi0a4OOL/1/gMFF4OjYQLTCNikL3DZmtagZ0nzQE0AAw5U6jQzHRUNG4/cZ7sSKMX2FvBb5VYoUoGIBJZ1eRy/DeOdkFBwLRN+G74nRZd2Cl96fKLyEmDXbsGfnTcBhk0cSCmwLjRFgwLl5BtPx4PbFyIp34PotpxUPYJE6J3opNBl0M27BP1IWyqrfMSkLz3lNlLGP3TJDpZEOBP4x+HUxpDTELFvM8xq99w1VYjsBiOyVImS+BzBf8SoOXwI+MzktFmDAsEReC1tpGiHHQB4FvRycJZaMJgCRgkY7cwSw7Y+vLeetrz/vK4ZCeG05HgIRzqcUU1pourN6ABmJdD0AASW5qJFfjC/8EsVrQyPONjwf3hdNDmdIFGF/i9pSylpl1FSTMTL9kUCG9RMIWpgNUw3nzUybIgEG36GpXF/ezyQ8ctsn4Qf35p6Bq5sBNzC4unly7/VbzAB1DGgn6Qp1mAckIKDNpKcgHzhfpCLDfDFCqtfn1voKOs7PzxhxpReBEdbjJvnwxdxRmPDmK7hxWBK272/zS/Kh9Vw4nkjgjsTlWPdoN9gm5+H8GX9glrlqr7iv/tsfmP30ADyyfT5C4jPEiMYkpZcPJZhZBdKEeMIODI6fibcfflx4DYceuh4RPbUqjaUjKzmuKvDpx53Qq8fnssOmZfFIbLpDTYz2KlRUN+I5vQnc0XY5dpa0QLBHtqxECWp02WWaU3oOCIrSjjYF9nuWSfby8tybhS5eq8Tg6KqBNEjMZCC58FKWvUzHn654Flt66Edx9TNkwdUrQQe9EsvQXUIWCiaVINfpj4JPAlU2SnegW+vFAsR08SGudGcffRRI9lTueU3Q1NyAKEg2BL0FNP58cbX+7/z+KNzkp8ZFh48v0G30YpFe5j5+nxcqsiu9TBHqehwP9zO9KDXKeX9IsCRZk8CARp6AoQA1xCCzR+0p4v85lzxXgiidutokk+UVywDf8SA/acf2BGQ8Hsd8EKr8czt8iXjskCa6SiSNOuecx2dbXYmR+3B+6bHhi+CUHhleTw342MYKDLYzf9W9uWfgKmfADQyucqLcu/36GfjIJB9qw15RZlh7B/hO+tTlNt2+4vcEElQ+bHycmvz1gf0+cP3bwLnXlWiQrmGg21FQSBj8iUC9z1hfIQd4pQ1cMJD8pAplVEZN47ibegCTL07BTCrsDQyGa5CBfQlqf00Tq6hgyNDHUtc/MMJ4vpR8+KVvGU1Mh5BLx2eCnlDWSjDMdEVXUziNVOlDF16yzoPus+tYYOSLU8QdfaSoDvIPhqBKgBNNg78XA0wDRTNNg53xcBPg3XNAdHUBRLbYPBSyyuBpGmYXGtX7VrwvNIwMRYhhHx4IzM8GvIMViGpDHf8SsCIh4/iNvfaJ94VGkGGW3CJ/5E8LASaZhp4rfy0h7OsCbEWIrvm9hHDogdmeG4/iIz6KK/CKCSanAbaBeSpnv4AMEyCi3j40xXcSAqAhPJEdikuL7MqzwPn76QyW+PcRYBCXnibAoLg5sN0RJ6BIr/pppLULXnshuHonMKiZnifFqJgGydW7Bjg01CRicrwcNwEEqyj2LvoE9qRLwhtYH5ogc6Zc/UXlUjEJoDgueiYIDGqn5sAVCnzplyDXhWPTXhR6AQgOGDZhP2xDISWek8sf4n3gPCssojQzeD76s01Mg3Fv7hm4yhlwA4OrnCj3br9+BhaZwKBiESX+TSOnudR8r6xWgh5BZRLF+rtywCBVAYMzr5cHBVaVQIIDn3ZA+GfU8T8ITO4El6eqlaANfEXDK8CApQhc0zHL6AHcGwnXwwa2t7PywMtaaWPN0Md6AQbPAGF1cSnFwKf+ZSTLijOs+RRRzEowDsnXO1xN8ZORauGbl2+l56bXMOC1WUPxf7hFwiRZWyKAEBduqveVGCPlMaghxiajfxNgUTYQFQysdiGy3ndIP95QSQf7ApGJKcJB4P40WGLkB4YAH34HVG0mKZ4hd2QgNzdAGXOWSG6yTVzwWrBHlAPH1AKmEfb5CJio0tupDPwxFWKKaL1X3OkEE187b0bBkUAlNDXLzNOYD0QOSEFuSYBSBywAwhLTxUDSP/EtbkBmbjiK3/UBnjHvqLXBGH7HS3LODJnQy/A9mkkoQIdIOIM07mp1Xk1CEzTk3JchGIYRaGTpLVE8EgUn+P99+Y0FRIXVPiIGm54ZhqJuEAKn0lRQIRvlQSG4Yj/ZJcHiyeGx6WmgqiTDKfREbMDtMs86/MUxsc2p7GD4B2tg8LMQSfniOMiR0ZwRno+UXUZDHD1eB7joAVftq6lN+ut/4+4j/DlmwA0M/hzX8Zo4i4oeA1nRmSO3AgMti3ylk6oMHHDFPS4IaJq9A6lGrLjHXR8YcM0qy/PnMa3VD0WXIBEI+pSFl/YAk7tKEaWV435ZdpltS9MVpVbCq5jNxr2bCzBYf0flRt4KDLZKEaUngJDGcKUYWGSSMHUGRsXHN8Ml0aXAwIUdrmYCDDhfVm+GTnEsBQYdgIwvQgQUTMczSJnXSlawd8cvKDVANCTMCEjrEwd8sguIbY6Yb7eJsXk3dxCKx/tIGl3kxBQhuTG+zRUo4+lZXSKA1SsBdIV3QQ7usX+EZSU9kDe+pgADCkV1x7LSrAMax7SRccBMph7GAXs8cXfMAgEuWdMjxMgHvvCjEBRJ5NuE25CZHY5Lk+zAHKYeBgM7gzGi+VTsRAskv99ewgV+449jsMdcnEe1Mu/IKyHAeAoyHQWiOykdhDDAM+EM/P1/QtYujr2SWgm64JEOX1AngF4NLsSZ6fCJpfQyJ59hMC1FLKJJppQyOYbMGGBmA9swWqQvjC54xGwBtmF9BfaTAHjGninzklSUNdbZEyTasB+2YaEqvhg6oWfF1L2S341Vo4FZCe5aCdfEM/KPMkg3MPijXIm/wDiswEA5gss2Gjrtuq8YSrA+07ThvBIwiM3eihQjXgyH6/0qospnFSuyegwM8h0IDD4gMPgGmNRLgMHSiWpsVuOrR8u+SeUqBQbdm8M1tAwYVHTxc8x80WNQCgwCGsO118B8ExhU9tzWHoMWrtpoZNBS/AfAoDXgWgls94vBU3gZya+3F4PyUOIsMfw08DoGndYjDliuCg51+uZTWYFPcY5Fwb2BYlAbzd4tCoNcxTL2zvdjnSKBtYtYnQIRrr0iTjQXg3Gsf6QYwcB/KSNPLwPj6FyRp4xsBcxcA6A1PH8CnvR/RVj3aU/FiXHze/c4HvP4pwADroAz88OlhgPmsOJRTeBgfcysN0Qi66vn9pFURsfMLIz1elHW+FydHyhqaIYsCECY9NpPGV/y/mhE+U6+pxUY8B7QwkUsoay1C6gvoMWKCAy28cpqyS3tT2KiLD+nYlczBQDYD40+gcE2Xlladb3xjiIbhnd5UyCgrjLy7IdggpeZRv601iDgfvw/29CXRlZNM6VhQIDAlwYGF8m0saphcGz8jDoGrMPt3twzcHUz4AYGVzdP7r1+gxlYb4YSKP/CLANtePUjUD9y+c7H4ZUMs9Y0sD5ueZyn/YCOucuxLrwbPPecwYVVDiXeoy28lbSndexbA77PnkS+bb/iGJSUlV3WzfTjVhtrStlMllDCfcDAMLj6l4USLgcmiAE+l1DCBKBOGFzbDXyk0zbNE6kIgnieDQgMPI/IOTCUUGRyDKzzY/UYcIxtqHz4LpAV7cC7GCQCRwwHjMZ0xDt3YJm9G2ZipDKkg0KAReeAEdXx1oyBUnuAksezdj0tuf8v+z8l7vHNuFWOta+kMfK6UyVyPVC/PcakP4tnSqbhZY8nMTlpipwJAQhVCUmK+xLt5D3pxY7A+O8AWzN0OL8CUzFGjPmL+WPFHT+m9gsYhjfFbc4aAsIzmOwDzKSBr19aXZEOdH7PVLyRwTPknOjNGIfJ+Dz3LhTP8gEmsQ2tbHsFDOgFICggCKDBpj6AVZug4kXTXgMaeBpu0TbgXalfVhjLxlFA1bpl1RW5smf3VDGUNvrKsp0uEdYMqO+pjq9rOhBDLCdQIUAhEKDIkc7P4d+1AZvZj5Z7pveBmhICQPSvydqGwKDTb/ALdh/irzIDbmDwV7nSf4Dz/M4EBrSFQUxZ5KPPqTIR+KjkmoiPTavem9VQanKeNUNBexCsyodDT7+BeT2GI2RZBk4m1VOa/NYHv66uyNUd07vjges6UPnwCDCrGVwXDewaUT4soJuXhhLswLMFVD4cB4ww4Opt4LCFfGidbt3GzwNYdJHAYEZp2eW1FcouVwQGbBtOYBCogMHWn2PhY6SUij9ZwRX/X6p8yBXoBKIKID0qTPQTSAZsuSRVqhGnvxKGttiIYymRKo7PFfR84EILA57zgeOP+wk4IDN/TOpMYPJhdmsAACAASURBVDFQOBa4y74KX+ffjMJBfsAn+4B+jXFyoS9C+uejcA7Qzb5cWPIvYjxaJaXgTIInZniMFO/E0gX9gIHngBbV8dY3AzF02QI476yCN70ekRX/2PyX4Elc0RW4r/U8KZ5UPNMHmFwMhHhi1MnJeGXJBFmRvxfeVzwXI4tmwD76kqy4H+03HbOOjgTmewKTeEcdA2yN1WqcF1CXMraWThZDqut3Eq6aSodckWuBIoIJGvnTvDO1P6siA6WZUljUAITttYqh3DxaidAC52w+yrvANtyf/bANHSSlwECt+MsCW3WAAJ+y/dmGwOAggQQHqQNxOqdH3VEuV/s/wBPAPYRrZQbcwOBauVJ/gnGma2DgBfjQIHoALhMYsJKiBgZ8FOrHoY69W0+fmEKLzurP9RpsqAN44vR0zBr6NGrP3o8jqY0AhsL1xgNqYMCHKr0GLQCPmAJcCjkFzKkrWQnpQ8oexdpYW4FJIz/gmdxJeMmYCIwHXL0MFLcBzhcqoFMOGHiokso+DuCl7OEYbbwGtPDEhS8NbKFBsGz6ca7BBN8DCAzCTWBwMhZhRkq5VM6KaZ1sU7c1gLEqLe94lBLxITCIfPeYrJYzZoWgFbYjZ1ct0RKQFee7wKVIA8a7gPNxZbCZRthv3VIBBlSDvDloA7YevQV40hP45BgwJAz5s66DT59iIRT2D31biG9MEYxcdgzFbYHnHWOwBzdg9YI+okHAuP3bX/XHw0sWSRhncVA3YdEPSP1YKU72Ae7pOh8fHxigdAmYlVAf4pmYsvgF4AZgdVRbSfcTiedxEp3AI8NexeyUJ5Qrfprpwveuq9zt1iJK1ntBlAEZCjDlj/mnVjHkRGqVQql1oFfjBAg6b0bPfhwQZqZX0jNBY69rJegCR7pEs+6f157KhVoxkX2xH4YtpN4Bx8VfgvVXEAb4msDAyluQaIUGLvS56TYK0rpcJEu4N/cMXN0MuIHB1c2Te6/fYAbOeSvlw+rUMKBlt6r95QLHMss8B9bHofWxSA8BCyvS86qdsvxeg4n77cCCggF4ZMN83NguCYvQD5GZx9RzUhtsLTFrAoOsSAeuP3BaPaQ/BFw1zCJKhQq4lNoRXUSJ7cKBydtGYUL7V8TYnbq/BgKHFyh5Zz6f9abPke9+wKOzpmOW59Mi05u/+jqcr1rmI9BrSu2d0Kv/n0g+vE3VSli39Ra0b5RcXhK5BHAVmsWdCHTYVzvGVYAzEZ7I9FDZ/vy3ycYMEYlIHhaHTs61KNgZqFaoNEaTgbSYOojachR5rW3YgXhJU4x5N13AVeFiwF5QgEvL7YpURzDxDLBnagPEvJ6OwkHAK/ZRcuaDMReBSwqQ18cmNRckM+LNCCm6RGDw9MLn8GzR8zjnVV1Y+0wRrP1ujgICjwMN+u5B+nMxilBHTkA0MHT9a3grfRSKg4B9jkgBEy03pgKvqlLe7R5fhY3TO6tzoTueE0mXPl/8Pw21WXZZwAI36h2YOgzyN/ejka0oL0EjTtc957bc95od419m5PXqnyEC8ga0wdfVHTVhkePRn2kjb/1N8PuLmmaqwxH84VRwM3Hc7IsAQ7QerPwEld/jcumqZb/BD9l9iD/9DLiBwZ/+Ev+BTpACR9zovic4oBAP/88H5yngXBqgPQeaRmUtVaNX7FwMNw5VxvBUngITuoRMTzuwsaAt+uQvwa2OzSK4Q4Oo08XYvZbeVQlk10n8u13K1yoWTWAQYKjVtq7jUIoMLBX1woHXPh2KUSPfEpGeXYmNEbc4rWwwFB/i+ekHPQ22A7hv4Dws/tuDAgxOLvFFSHC+enCbaIDeBmoucKtmAzy9gJTsSMT2/UGM2qpl7dD5jo1lwEBzJmjw2JcFGBQ+DWTaw8TwMqWNYYG41DTh5K3u0RbdslfiUqpdGVIayBHAhiY347a8rfjJz1vi9gQGflMKgQ3AmXWecCRfUCtyxugZd38SWDfuFrT/PBl5d9qwFL0lne8+52LYPgey+jhwF1Zj94EEZaz5agEMeGM2hmCupPeFO4/BRp4cQQE9E8+aRa36+aiVMw1kLDBg4Wz8s+RxXPTwEFDAfgIXFah2XYCmo3YgtW9LZWwJKDg3NJg01Py/rMLNTIDu5nzxHGio9fecR/ICjljzPqoCAdWlIqYYX86VNu6aV6iBg7VmAsHHvYBniJltoLMedCVEjrEcB4GD8JOwiYxZV0sUQqRm4FiTfXU4ww+Iqq6AC8+dxxfvBAGCqsXhclUgs/yBHgvuofzxZsANDP541+RPO6JsM5TA0sA17OVXuK58IC1PeQFoIzTlSusZaIctV9H0GNQ2n+XW8swEByyiNP30KEyY+woaDd6NZLSG35bC8oZUG1NNPowGjPMX1IN1kSdcfzNUilsJUGzxGOgLQ2MtZX7pMbjF9Bg8VAOBQ0yPAW29BgZspF3SLKI0hymOT8iqOferaig2CsvxyK1UCDZj9kYWBY5uUsBg3be3oH2DZPXgN5UPCSrKlYRmw77A8Vf8JPuA/AKGEmiEKb0bjh+liNIMjMSxo3WAdz0Vx2AE8MaAQZJTz/2pC0ARnv5YiMDtBVgd3xZdjn8GbLKp8MNaRfqfsnAkhpW8ia88bsMHuE8Mdg8sk9oCLKzEEspSeGlWoAoLtAAS1qwXrwLDDgRolPXtWrISPiuLkdPDG1El+5E3s6YCLfRM1AcStq7Ha3iiVDSJ7UiUjEo6isIWQCv7VpWWSQ8Dx8fJJNhjHJ8GmyBBvyt14rJyyNbUQxp7GnHOI+8JqweAbXSxIr7TCLOttewy3Vk8voCFYlSxXVBFm3Q7gipdVlmX5NAllK0gVHMhdIojgQKBifU89Nj4OcfLNppLoUtKExhcSTHsT/vEcZ/YfzsDbmDw386cu91/PANWgSPtOdWpfBV1DDQgsBpK3aGVfGiN//P/o4OAxtmm8iEFjj6+Oh2D6z89hCwjVekYmAJHuu/K0iWZrqiyEkyBoyEGvmvzS4Eja3oluRHLXEMxyniqnMARz6uy89Q8g3oVBI50VoK1jc5K0DikfV8g+YM4CQfMwWCkL4gRY0UholrIFENM+V7q++94IBGYvw9IaIwOm1dIuiINfNqCODFEgb1+REMcKL3e9D6kPtASmJ8M+CYg4ue9UmKZGQa7lyoGpnfnHDS1f2+KAZWI8d86vS3wjFlI4UgxBtR+V7gHKUmtxKD5dTyOFh47hbxI/gBTHY++GgU8aYoiHXRhfL1xQmRcsbevGG/H7Vm42etrGRvHxTap77cE+pnkwyGNYZuWh1DHSQE89JrsQnN8lXsbiguqweZ7FtW9zyPvWJCSYKbxprHlKwy4MSYJ9XBI+kzd0lIZXe2210RBvtM7IOmQxehQ+3MRd2KaplSUzAqAp+9Z+PqfxulcXxR/6aO8DgQPDF8FAHENk0UUiYTKNcfvBA7ayuSgaewJdghC2IbhiQAl7kRBqJ/hi41H7xBtCBk3x8ebg94IM/vC9c5//HN1N/gLz4AbGPyFL/7vfer/tCgf6r41QLBSpXSE9GrGV1EQaFwo4JvB1MPvgeT2cM0xkMzV42U2to+PAuqlURL5W2B8P7iqGFj0/JV7JzB43TUTbxsxQMc2omOwtNsvBY6s46MzN801AI8YTwOX0TGoeD6cnxsEGNCSXMQuVwwOG2nl6GjWker29/QANn56E1iQaFr+aBSO91MGoyPgWf8MGvvvE6NCQ7S6fx9gkUo9jEtPFoXAOfmDUfikn1qFsnRxdLGo+7EN5ZRXD+0DzFECR7bTeejtWIrPS+5E3uSaypvRUUkrBzhyxUgyaLPi1b7Ak7tUHv5OT3RrvhibS25VbWhwbweqtHLCN+A0GnpQEfAs1i3oBgzkEt4H2OaDofGvSRXM3fMSlKFsA3i3yYG3/axUM6SHY2lSP6CNGVx6Mh5hL6cL8ZLeBYaVmD75Uf49KCyojsCap6SfE/nXl9VZMHkJ3nVy0N2+XBQNmSK5OqWPGmeIGR445qO8GRwegUGbYviFnUIXj5UyT1RYXOjsLwqOtjA1F2eLaiB/dYgaO0FBq0L4heTiDo8vRF+CglPv4z5kHaqLKt7nUMP3LM4VVFdggqEHjo1ZFgHFSKxNjcQvRXDqg5L7kZdcU8bmqJOFkoseKPgyUHlc6DF44Wp+Te593DOgZsANDNx3wu82A+9cRhKZA7BmX+vIaWWr6IqDrSh0REnkOsfTcNTwAHZGiscgl+S0K2z+iUCDDXuQbpwFXkmAq6qB7SPKKx9W7KeZF/BiIbMSxgLDPeHqZyC7VXmPQcU2rHz7TgHTFWdJVsL5TQb2el8ZTAhFgaGEwB9kx80/N0dNY3e5Og4V++GpNu4HZCxUyodP4DVkPRxRCgxQvxCda64SzQACg4emfwA8sx6IbY/O3y4RY/MixiHngVpq1hhbjwJiYrZJG27/mLcQGLQJsLVByPkM3I8PpFxxxvQmChjcDnjH5qCxfZ/oGVDj/+4Dq4Coc4B3dXhn5WCwfa54GdKei1PGlcT5FkBYw3QJX9BL8WD2e7gUQm5KNeBYEabXfEpUEde82VOthhkqSHAhpN5hDMNbYpAfx+tIMwjd9gEdG6uwUB0gMiZFxvG9sykK1gaqcdLQcpXN/rkqt3oMCKRuL0ZI7Uwx1NhkKFe9ziKwegy4iqfHIACokuBEeHCmqimxJ7D8MQksGIKxegx4vAQXwuodVMBhW4gCIJqfwj5JECWY4Jh0JkMC4NfqOM4VVEPhNj8VntChEp4bz0d7DNb/bj9zd0d/ghlwA4M/wUW8Vk5BhxIYCtDKh1adNk001JoEFdMEeZ5cEVfm2tdz8EQo0PS4KYmc6gnXl4ZUGpRNIw2rm+L/sXcmYFrVZf+/cYABBx2ERNMM0VDccsHE1w01NTNzSXtLTcuy3DWtXrPN10pLcze3f75pWpZvlktpVpprluaaJioqGsnrEgTCEAOM/K/P736+z7mfH2eGQXBgnHOua65n5jnnt54z5/7e2/fm+23NNrwa98MIs0vfZQua+9krhzZmnucFn0atYfbtl75gXx91VvLNL9irn9lHakFfyn5gHAIQVamZdMW/HGMnrXKhxxhcP9gGDZmTgg2V4ghFM6mNCSzN99+fnbOBjf2PJ9P8b//LNrbzu/+U+iT4MqH7GMmuNe5rNu8Ms8dbN7BP2I9twqFbuABEyL9ngR257rl28ZQv2LQ1Btnwm/9ttuedZtvtaJ+75/wUh/Bl+45NPHhT3zMofseY7bztr+0H9tlUS+CdD0032/J+s6HjbON//cUOtGvsWvuYPXaRuwWSJr/xa/b+lttSXMCoaS/be4c9YE8Mfl+KF9j48b/YUXZRKnF819d3d58+Qn4zs3XG/c0utSNs+7Z7beeW2+1P/XZO61x1wd/tfDsu1Sz48fmfdcGHMN7OUoXLn9tHbbv7H7YTxp1u573zZLOXJ5mtPaqgHUZ4CwQgZDkiMECIAgy0nwhs4gVow16n1MZAjIQgxlwvemP6F4+BwIN8/+oTgY+VAWAQ+QuYh+Ie4vPJuAIGasO1AADiGpQpEbMaNEf2pxaEueBfveUtUc1zediBChgsD3ehj8zhyn796rUGcuZChL3io5YUGHh1xTFmT6xoC24NwKCzfd7abL1rsBis7DwGzf3sHzVgELFEBCV1YLDWWSkyPwEDWGcBBcpXzwU2wOCRY+yklWrA4FeDrf+gOQkAEDzIHgwGSISjU2DQXmQy1MFBrR3BiP0AKaeZPTZitB1gP7MJBwRgsLbZ5zY93y6b/Hl7fY0B1nrr3DowOOaeM+1DdosdZ+fbxI8GYPAes/EfuNV+ZIck0/vwx/5ttpnHGGz6rz8n+uOr7BB77IwCGKywcZt9YLXfGvkHI6e8Zput8Sd7bMDWSdhuMeFeO84uTIyMfzh5TxeUCHksBuMnpjTT8a8+YNuP+J3d28/JeVZf8LxdakemMs4/OuNIBwaY1dGcd3zJbmzay7a762H74vhv2dmrfs3snxPNVh/tlgiEewQG7pkpggQR8uIPULAoghvBi5YeSZGU7ho5B1TDQMGBkSApCm0BA4BQDCQEFOTAgHEEDFir2jAWbZWKqecsmo6UXVGrn1AFH/aRl+xSWmYFDJbSRlbdLHoH5EpQfj7vsRjgp4BDAQMpPuq5zGSej4orYd2XiBdoNXvwXbbg5n624Pyu59ZvW7P1bgIY9HPmQ+tnTx5TmPhjAKHmu0Gr2enT/8v+e6UzUi7/gr37Je4AhLK0f7Iv4sGUzn/+c/b5AZclYTXj1oH2ev95DWRF+RoZeyquhM1rroTHx9q4oQ8nIiUOWRUoH532qzbBlQEpZ5g9P2p129Vus+e338iFCRaDtc3+c+8f2bVTPmWvrzbAWm+Ya7b/TWbb7WVfu+crqaLgJ+1HNmH7LXwTaoWENv3Mn+1G28tW6ZhurY/ONdvy92ZDdrX/mPkHO8wuT1kOT3y2FqCH9r+x2cYf+Etqs86kl22TUVhy3pcE2naTf28n2XftYjvafvPZj7hmCzDYzGzI/q/Zr1v2tPGTH7Dt1wIYMIH+NnLB0/ZD+3QKjPyfk49xkzzAgHa7zLPbR463nf/4Jzth29PtvMEnm815yOwdY93iITIhPhGwAgbRLcAcAAAK4IvAQJwDMa2R77AycAdJMWQukfkw+sL4XVYHrAy4LmoBjnUhDwDhEPAQGOET0DJ9gVn/foUrQZTI+kdhDI1DH0opTemKi/7/rK6odkA7UAGD6lnosR3oLMYgssgrCLEsKyEKzdwroEUUMQbNZg+OsgU39bPZtRgDmejzBQ8AGNwMMJhvdt7YBAz+WosxiNcKIDDfDVrMvjPrZPv24NPrwADmw6T91yaHsI5uAYidzn+JGIPLkrCa9esmmzLoDRfwtYHKgg9fBxhsUgMGE8baewc9XLcy0Cx3P/DdcIDB6WYvjlnVxtvd9uLmY1wQISTXNtv7oJ/aDVMOdFfCL/5dBwan33OC7WU32Uft5zbhfVu4kEIur222wRcett/Y7gEY/MZsyAdt/MxbEzAgLfGJj9aAAcJ6jNnITz5lf7CdEjDYcBSWnE0SQ+D4ybfaV+20BCZ+c3AtXqAGDCjH/PvVdrWdJ/3Jth9VAIN1FjyZLBZX2yH2/0443oEBQX8I5N3NfrPRjrb7H++yY7etkUjND8BA9QgiMGBtkdkQYMB3XCv2QlkMAAEIc2nw4ldILokMGEijj0Je2j/9IOSxUDAO/TMHuRJ4dhKxUQ2kiJQJIQ9NMsBALosIDAQmND8+WU8tHbICBj32mntbDFQBg7fFbewdi5jKS404gf5O3hMPCVQ+H+9I5HwNmjRWhlp5hboQ5Tsi/RGm8BkQh35Qq9m10/ezgx+7znbe9NdJwxw56bXGwTKE8fq7B9inm35ov7j5Ezb6Q4/ZHbazrfmHaUWRHZlqY7wAgYTjPpGK+RDxjvZLVHn/jg5rqpVv7OjflMh4kvDu6LD2pmY7xU61S248kVrKds+6W9p2Vz7sc4tIJ4uB+Omn9rYDr4UZyOyGj33A9j79d369YhdEpBT72cPs51vumXgM7rQd7e4Z26f2zYPm2sDmuba/XZfIn0gjxG3wh9/uaTZmnn1w5K9shL1ilGQm3Y4D1wGkUGPtwdSO36mj8Lvb907CbeNN/2Jr2JSUrUD5Yw64DPghop/4A87jNrjSDk3XrWav2Io2O6UX/tPeYR0dTbZS08z0HaRKuDPIILjO9rf/feiTab3vGjcxpQ6Slvhc27opWn/4atRtpB7j1FToicwE2vz4F59Nwrf1sJdtl+bbEsEVfTMnHcxQKY7MaaYNsQ7rnwIyX3vxndw0W33NKWn9xFUMtenWZPNTKiUjzu1otmkvDzeb01zPIGjq32ErNs1O45EOyhpoyzgQTZGKOd1WSfue9qvN92toy/Q0DgyQ0FAzV+bBPUjjkE45vQYbE5hZYKuuC5/l39P9YG70yH6yI/T/7NT3eBlnLAZje8c7oprl8rEDFTBYPu5D35jFoTXmQwSfzOy5X5T39k1m177qZEfSpAEAirNSkCJljEfB9NrqrIkPtDnx0ajTnG//rtFb2Yl2tj3Ttr7L3vkupDvm+6BN/V0ak0aGkESAka9+kR1lz9j6deHGNbxoealz9LeO9BKnOuDOP/5TouPdcMRDNuF/tijIjLhQWpw3Sprhph/7cxoLAUVqGsJCwopPCQwEEOPw3WxbMQkWXvxb2kMpWp/vER6OBZwJUAKZT9IUWcestpXs2JYL7TD7QRIapN0hcFax6UmYsg4i+decNM1uHTXePvi3O1Nw3AHH/9CumfyZJJBfHLVqEobMlywHZrWfXWfbTXrYHh61ge3a8XubdvmadsDhP7Rr7vqM2RSnZJ44wlkXIUtiDYe2X2EtZ7+Rzq208as2a89Vza6cZ0+MHGMbTnvenh32rkTdzDgEMgJq4EdgvxB2W3f82as6ft7syvd/LAGx2TY4rYt2gI4HO7a0zZoeSe4QhPJHnvqN2RU1rZwHhm2i8GJyAdTcEDxDEFmpQMdhZr9c44NpnewR+7xJ++PW8vM3/Do0djEM1wJNidWY1LR2AhZ6VgBFw348x/eD60fVACB/Q7Owsdnzm62e5o9w5/6uNeNlGwCz5PMeFNv2gRWsvXlg6peD5+BpWy/db56Ddduet0GgYtwT9EsiSe1/4rW1nL2SYyN7rm+8Y6pVLpUdqIDBUtnGqpNu7YCAgWh7JTAVbICc5kX7JoDBvIlmf5zh1epHH25me5g9ttdo29Nutn88NLqRQSj3Q7xrjv3Pmp+2Tz/xU3tq45F2tH3fHmgbZwMHzbWmJtcw57YPTLnhDig6bGjzdPuZfdy2PumxlI2w9rgJ9uLJYwrTdA4M0PIGmW110l12tp2Y+iELHaEZBbqEikABAADhLY2QdDvXXDusuVb8IQcGgAoAwOUzDku5+t9a82t20oyzbXrrkGQ9QIhKo6ev/dt+YYNuN3t4rw1s7P1PJtriT37nErvyd0c5uNna7OURrYlBEW0cTffL9l3b6OfP2+sfGWCjbFJiKfzkFy6xKy8/ygXUB8xe39KFJemFCLRUPfGzXj1x6Ef/z2ZstrrZrfNs6siVEzvlnM3MXmgZmfYEiwRphV9sOctOeeJMQ769c8Rz9vL265j9t9lv3r+j7dh2l01vaU19Aya+a1+2u17a0XZe87YU2Li2TbJNr59odnUNGKxV+8QchSDlucN9IWDAvDkON7t3/BZJGKP1I7THTH7R6ZphtcR9QRueIzFjvtvstVFYHJoSWEFwj3n1RadrFjCgDc/332smrs3M5uxmNrNlSLJEYFVaeeI8ny88UHB/71absyNAmzPC7LmWddI9YH3DnprjNKGsZ7LX8EjUoFCNv9uv7+i/grU0F5aSbv2vVhf16R2ogEGfvv09u3hRImtUfOMcuBYUmY8OjNsWpS7GbuWuBM7JlcCnXAmbmNnYa8yeOmBk0v7JrYcAhkNaFy/heKA94yPffcpd9vIarXab7VLXtMp2CKGKdreT3WljnnjR2kavYOc2n5C06bxvxtR3CHtYBXe0O1K3mOvRqDs7ZElA2ERrRbQwdNZW2j21INCssTQgsGA6REMVGGEd77HnkqkfMPHVGd+2OU8MsyO3PcfOn/EFG9BuNm3EoLq14XI7LJVIPsoutk9M+YX9bY117Ai71O59cUf73MiL7XsdX7KVp86zl0YMS+Z26lD81j6Q1olFZu+Jv7PXRg+xve1G+9PNO9sWH7o3ZRrgjuEa5ob5HO3/aVs/uS5Ia0TQ4ob53xcPtE1HPpT4FHArSAjT9g7byZ6zdW09e8Z2sLuTts9+Q+ecjD2YnQClcG4LBKBh46OSkO9v9tio0QnMsO8uj5uSeR/nCnvPWLg/ZNXRXuq+sAYAHi4ZXBtYHAAvMBRyyDXDd8klYc1pLIQ9V9EmkS7ZGgnEaR605X7hmpDFSH+v1vGKrTRjns1sHWD/bPI+sdKwPxzbGcRS1VHtQPd2oAIG3dun6qqlsANiPlSAYQIFtX4bq8cvPBjXRdd7Z1wG43kJPm72/Y0/U9PenDHBjfL+osf/Gw9enwjPTdqeSNpVNN2qjbduBBQIAISkXuoao0yIazy9yL1NYSKO47igKcbCJ41JWJaBuBa+k3Uhrom5vWKr1dfM/DUGn7IYxDYIIcDB9I6hdkjTVamWAfPVgYXjAjsuCTnOfcyuTYILsIB5e5w9YHvYzUlwaSyEPLwDzH/HJG7vSMIfywPAbaw9lIQ/lgsdgBpSEgEV3BeCITketC0TWEBouu9+dn0chOoUe2fqG6BHnALzQKvmWgAa57R2WVsQnlHw8jtj8INw5zyfDgb9uVHxrbh3q9mrCdxwCBgIQHobdxbEQ3EPfCchzr3ke7mV+L5xnFcSkyRr9zZ+nvXoHsc2Whu5HNVR7UB3d6ACBt3dqeq6Jd6Bc2rMh3QUBbs6ViZC2UARGHR2HdcQdD/uebNvj/pCXWDT36KAAX52XrhdCezOgEEU2BqLzzLhi6Dl5c+BMIvCurM2COIcGAh8yCKhPtVHBCsIKlkJNJ7cE1xP/wgTNGEEIlomwX/EESDOdGARIVWQvhDmUAyj1f7KPmyTbO0UaAg4kNClHecT2LChtllyRjySwNTdtn2ymCCC0eoBBpobFp57bIfUdhP7qwd1WkeKOWAfJKR1P2QJkuCVQGbujMe8OgMG3IMosNlXBV4izHMhzzwEJnQPWCcWBQIBOVgf15S5exq1/7npznAwDvteAIP5CUwAHv2ZclhM0GYjMHCLgCqGuiujEUxwfm/77RL//1Yd9J0dqIBB37nXy3ylAgayDjChzqwA+WRz5sHOFvNhAq1mmR3fcl6pxUDCOkan8/ol4h4TLofMr7yMCytDoTnzrcCAhIRiA/QCdwHtAYTxkFCj3xjQGN0ceRtM0ATfRdASgU4ZKBBpUwAAIABJREFUAMHYPcpeSMIJzRy/fRRKmOEBQ3z3iG2WhKEO2iCwEajRnYGgpi/abGBPJhcEe4Vmj+AX2IjWCQQb51ifw5OZqb3ACCIUk38chzazbKUEnDivmAp+B1ixF1gVBHaYN9H8zId1EygJUGEfATAfmHZXWtq/hg1K8+C+rNjmRBCzW/y7CNCwgvCjTAWVeFawp+553E+KM+GOYR1kNwAOYoBoGQDBolEGDFgLM1KbCECIMeG+cA1jsAcRCLF3ck3E525MzZqxzF8C1QR6xQ5UwKBX3Ka3xyTPCBaDaJRX7GGZFUErXxxgMHr+ADu66aL0si8TvlGjdaHyb9vcHrH17OmGqHLOdSWwZWaOFoP4Ei8z8UuLLGvDWDIJxzsuX3SMeI/CTG6OCCgQVC7Y56fSx5jhfT3uTkHr3N7uTr+jnQMcGBtBRX+IRkzjtNceYFFA4PK3i86/JyGEy4I0RZnA49w7AzDcF5n1vV0xTlkb5gZA4AeLAgWK+EtrYt5YJBDOABhsE6wDRsbdJzswmLey2dxBK9jAOW+k2In0XbN/l/qpBb1MborAwOMFOhPy2s9GYICLaXBqgwDniK4EPSMRGPAsqY32o6xNAgYdT9rgWfPs30MG2MymAAza5yY3WAQGGmtkCqyojmoHurcDFTDo3j5VVy2FHYgxBuougoFFuRJEo6w0xuheUH9w8Yx7xuzM0cckASbtn/MSnLkgQuggVNCSo8CWFuuhfy6KOfSyRatFY8tdCUU7zxyIYEHz4DvFJ/BdbINWHC0P0ZVAmxjDoLaKBVA7pfEJTMi8LPP7SkkndzO2cvkR/FgEuBZOgP3tF/WUSK570Mam2gZoxPvaDanYEkKYAE80eIAIZv/oLuE8oIQxOI9pn5Hvth1qgYJP27Z2nw2xmfX9JSAPMAPg4J4AYtgfxqA/N7C7Hz4/IsDguvfbbbbtNOeKIDAPXonm9rkJHCSBPWiFBAj4XmCLcQBAciUIwIgHQSmlAjDcD2IMgBOyGNA2BgoqLkFj0JY1CIgBCuR+0DhlFiKsK+zJSh0zbXZTEVwIrGC86H6IAKGyGCyFF1gf6qICBn3oZi/rpcJ8GCmQNR99J2BQFliIVcGpWpzfgB++E72y3BNbEXz4W7Nbdxu/UH6/LAVYCCRA/AXdbpu3P2otE97wTpVOqboHIhPC+hzJjlYzmzPM08GkqSXamva51jT/DWuiCBI1Dfqb1TIdraPmO6HN7OYY2NZeJ0eKQisJ7uahSSDKfxyD4eSuUGCchBUWALIBEMgIVnEfSJiidct9gEDDd/2IbW6XvHSU2bOD7HPjz7dz2k+0lhlv1MmUfrnWB1PlwlemrmbfHv5V+9K079sjwzZI3933yja2/2pOmuSuAb+rj9rmKWAR+wLBigfZT5LAP82+Yn94aRfbbc3f2kl2Rt0MTzs4JC6yo5MVg2BGuA45iG8gNgEXCYGMuA1klQGgAVzIumA9rBnrAuteu/2FJPwhmNL95h5xKNC0EMJNaXziGRR8KCEegYGgIgAMYY+lwoHB/AT4cANEC0w08ctF4FDAn0UBPtYjV0JMQ5V1ikwHXCYAihgYGdv4M+B8CozFsQWVJquj2oFu7kAFDLq5UdVlS74Dl5QEH0agUAYaGFWWAQEDuGF0LcAguiKSxeB2sxt33q3uk6ePyAsQzfV66aPJppxwLO1iZRSvAh3kZEUMOsLs9eGuhUo7k7+XJtJMAQMAAQ6Zq2njAsTN1AoeQ0hIaEmTRbgDDGRalsWgaNPIaYBQIG2PtEsEF4JEbgFZPUi3Q1hzINQQolgLLn/lMHvjhRb73Ljz7Tv2ZVtpxhwIANNx3bA97Uv2vVRO+Ost37Tj2r5vj7dsnCox3jdjG9u39YaUWkhWgAAIfV5qhyeBvY/dkHz+WCbgKbhj6k62y/DbEphgDhy0I5OBTAcENBo/JZ1Z8w22bwpkRABjmQCAeJv5yQoBkGCf6AvrBFYI4kbQ/wtBOTDtdTTxK8BP95DxGRuhKsHPMxPb8NxES1EBDDw4EaEc2RZzK0MONqKQb7QYuGCX64U1r2vPJmAgAJKemRoM0BoEXBRYuXWd0WnJ/4+rHt7+O1ABg7f/PV5uVliWrhgnt7iuhAgaBBTyrITYv1L7unIlcH1u+k9CPpiu5VdGwBEYKPO9TM4aUy/sGKSmF3YCCSGFUkJR8QJx3gTbkYoX4wriecUtxLkrME0uizxSPc9KcCpddyXw+z52fdLw0Wh13G9b2TV2UD0rgfLM7krYJ1kf5EpQkB7tOE82gywXykqAcwCTPUJuB7un7tagDa4E2hBEiMZPSiMH12PpcK26q6fFZywXkWcleLR+YW1xd03ONEm7PF1R91VWkGiuV9YGmrzATS6w6RPwwfccev6idUCph7IAcU9lZSiejfkJdBE4qnTFmIlBm2gliMGvu9udy817oJrI8r8DFTBY/u/R22aGZVkJLK67wYfdyWD4IGbT6WbHt9YqJ9V2T0LYBa/rezo8rc1jDOIRBbraNQrs4fUAuPh9VzwG0jR1vTIcYpBjTBHkelkM0GBjip7mF4GB+hVXP38jtBGqETigdSMwOdCOFYXvGQRNSSMnjTD67OEqIFARLZrzZDXAsQBgQIgjGN0y4SYG+hFdMYJPWnXi8bf3pHUpe4L5aj1cy3xoi4tDvntp73zSNvrQGZP+0epVL4C5Q+ykNNTIWcD1DhbcFZAyFWpgA2sL1gdZDJSVoL2Vi4E2xGrwSVAg4ID7yfjxXtHOCYc8HRFQI6tVzHSQ5cL/JzwrQbUn1AbLDmCKZySCDYGH+B17oWfpI3bL2+Y9Ui3krd+BChi89XtcjVDbgSVNV+wuMNhqqtmJw05v0Py7Sj1EKBG3T1ZCIzAo0tjKNHmEogSp2kXBH7MSYqBcBBwSoF2BCcbALy/tMHIYuEBYOC1SgW2cV9BetFAgbNE8HTismzR7cRkgXGB1hKFRgoW2ilvgOgIPAQdo95j3BQzoM4IXhCT908YzHSYlzVmcBETzA8gQkFqXt3lPErAF2Jhf4xTw0EOlM2r/8KYjNBHuAg7s/1Z2v21uj9YtBrTVffG4AjfCRxcQQCkSHC2qDf1h4md9HGJjlLB2YFD4+wUKFJyoNkpx1LNS1gYghWtI6YoxqDRPcYxWrorHoHoNL84OVMBgcXarunaJdqArV0JkQywbpLvMh8mV8JLZV9b4ej1dkf6iCV+CS/52tLFt7I91DTpGjpdlAGh+iuaXgJGQyi0NUUDIvcB3ZcyH8VoJ/ch8WDY3rtNa8owIzgEqMMHHTAcqEkqQAQoQ8KwHTR3tFjcBBEaR+ZBMARgLEXwUKcL/DyC4o1Z/gaBAwFW0eNAvgAJBDmiAVhhhjMuCcT1Q8K8NLgsVXqItfYpPgb+dvdBdADnAklYtYQ844r4CDDhck3dgIAtFvAe6f8QYMNMIQCL4yjkJaFekdzqPgYpaaf+i+0HPD/ukzJDIfCjrVAQGmpsIjnJgELNSBCDj/lSuhCV6dfW5xhUw6HO3fNkt+M0CA3EYdIcSOQIDaWpRCOegwDXFuYlbH9Ieb+MBX2UxAFFwe1a9m96LhEZ/rS8s4N28rlS7wqFRpMmVgQIJNARw2TiKm2gEH8VYnCdGIa8X0RkwgKwIwQIwIFgwcj6QdkjVQwTsvnZ9Agb0fZu9PwEKhON77fG60GVOCHM4BzCJI27RxRGC8AwIGBB3gEle+8aeQrpE3wAJpSuyBkBSvK+6T7qPcn0o+I/7ipsojzGIWnm0wHDdooBBzBbQnCMwiKmHAhQRTJTzGABrihgErauM+RCgpKwEERxpnDx1VvOrgMGye+/1xpErYNAb71ovnXMODLASxKrLiwo+fDPAIKYl5oFa2kbM2PjLBQz0PS/VWM44xiVwDYJLJDuxjaiOo/sh1+ijIHeLg9dNiMFn6lOuhKgBRitFmSuBtgIraOCap74DGFBPgAPQIZCDiT+nRBYgwWIAMECwAwwAD1gjSIsEGOAmEDCQYBMwQIsmQwChRv/0JWCAG0fBhIqpKAMGXK+iU7HeRW450N4CanRfFe8Q95jroitB++3Bh17auLO6BxLYuq/sJdYNjlz7L4S8ao27+weLQYwxyOsexOBDzQ2LAUWiaCcaZQecRX0FpSjG10TlSuilL81lNO0KGCyjje+Lw0ZgIBDwVgKDaLZXRDr7rqhw3QNeqggngEFMa2z0FbtI5VDAIMAgCirGU5BZZyyG8b47R117Q5BZWZCjAwN3BWhNCjJjVtGX7EJR8/ACQdHlIW2V6Aj8+xwCBXxi9mevKFykWgk5MIi1EpjXr2yvBAwIisNsLzM97QAGcBnQBlAQgYGDiRfS3pNaKDcJewqnAp+IaDR+9iVmJYgQKbqI5F5QmiCfkdFS1h3FE3QnKyG6H3T/JbAF/Hge2EuYIBV8KLKiMouBQE1MgWScGGOgexgBCOMpWBMghWVCtNCRLTFvwz2ugg/74hv3za+5AgZvfu+qlou5A29V8GGkS97dzN473ezE1jPqQpwXakxVK8tKUK2EznzJi8pKiH7hIiDMRWqkKo5bpjYyc0uo59c7JbLXSogR/7mVQZqyPlWXQNz/riF7UR5M36oNQXAgmj9ASC4LAgtxFQgE0QaxToVFNFKqJKKNk675gI1L7ZVBEIEBggtNn3FhBySY0M315VkJ2gvmzD7GrARp74rWz+NGcEegSSs2gHkwT6U7yvdfAAO3CMXgQtYZeQw6sxjk1qd8nspAKIsX0DMRqysKgEj75zNahfRsOGnTM2nW7E+ZK0EuifjMjrf7F/O/tbq8L+9ABQz68t3v4bV3VitB01hUrQRZF7pyOXzEzIYvGGaftR/UffL+ki0yDBoFqJt0Y7qiTNMxMC2PTaAPLwnklMhxjK6CD/WC1/USAFHQaD8EAsQxoH7zeIYctDBXItdJN0SAYOqHNyDGTHAOdwAHlMbwBrAaNHgVO1JgXBRSCFeOSKmsvcH/j5Yf50kfAAKC43Se+SJIlVoY4yfom8wCAARCHuDBedpgbcBdQRwEcQ18r7mRFYBrAwsDAAZyJ47j7ALb/QmvlWAtNVZLDD/KVhXLZW3TYan8+7BVkwWEZyaCCa2zrEiRLAZ0E3kMBPLkXorPBusvKJFVkbEAkmWxDKxz9Kv/MGvz9cxhTViJ5lsiooJhUzTP8d975abGUuM9/K9fDdfLdqACBr3shvXm6fYUMBi84F32SftRQ7CeBEjcP1kOBAwIdOMoCyR0ge6uhCiwMefm10eCpLJsAc0hD0DU9zkIARhgNegssGzhNXWkgD1YBhE3xAUg/KNQQoh+yq5ITa+0Q5MgRVijXWOulvDLQU7O/ofWSzvG+butlaL5Y+EqnC3MBQGIlQDrBG0Q8rTDmuDuC+cT4EArxgWAEMR9wHn2HO2fvsho+Jl9rM7cSBvAx4H2k8RboPLQzP1UO8V2vysAA5FmcCvBc/wtpku/udb27hVsSjNMkwOTVp5bFAQY494ki0HHZGua32Ezm4vsh+h+0PVaZ6oc2T49rVn02PwuV4P2Mbbj3gx7Yk4dGCSwI8puPgE6Wo/jVT/WWNCbXx3V3Ht4Bypg0MMb3peHeytcCdGNwN5SdnnIgtWTxSAeoh/mO6XT6aWdaiXYo8lHHo+YYlbGSSCLQWMbFyYuYwrtT2Pl95/vJYC8jbsfOAQqIjBQexWIyoPpNA6aM64A1nqL7ZGsBlEDhaMAqmEOUhDvse2TQFbEO8JJxZyipUHjl7H34e541UYkV4PaAAjE1Ie7AQZH5oQrg/FUsTHSPctcPtT+lYAD2jt7gVVHFgPWQ1sJaQQmKZTMH+AA0GEOX7SzbNcH7/VpDw9sWop8bTZbMMisH3/XrAivrTGklrY5sCHFMY8x0P3iU64EfvegQMouF/c/D3KkL5WUpg3AKHcB5CyGXMfejJzymgOD1oUtBu2pWmTxXwFQ4WhpXrjgVF9+F1Vr73oHKmBQPSE9tgMCBgxY5jborFYC15fxGOTVFWkPMMCVcIRdWg/U08tagVrioteLHXM7mqjIeQQcouBXmmHcrPw8L3sJca5TcGEUIArkUy69fMUKjJNAjnEG9EkQXwxojDn2cW4SXuIHYC0IfUiIIvc/JZepkMiBkH3IxibRJBO/h1V6LQIFYcZYCAQxAYyiXBbokOYvocZewwjIPLxkUFGOWN9p7YoDwSrB/AEVcT/5jnkBMLAiOPuhAzEEJnERXAOQABxwHGpX2K4T702WgXnDihLLFLlKa2sZlKwjSVC3z07Frya3vKtWm2Jg2ncFBYorgL8l+L0IUofFLA9cJlqn7kcU8nr+BAy4RgGiAoY586GeC/Ycy8TAOfNsZsuQ1C4my+bUy5pzVXa5x15zb4uBKmDwtriNvWMRPQUMRixotSPskhqnnftW8RUXwMAr2nFIQAMMcCUoME3R5UrzU0VGtUEQquyyQAB9IjTQnDkaBbaPp1gHaYyyGKjmQg5A6DP67mMmgwRjGZggfY4gNdoTHAgHgYQoAh5GQDRsDgiKyBxAiCB46A8fv7j/ZU5nbdoP+sd8T5/MPed+iCRDCO2YNiqgpMh7mcxjVUJ89jGQkH0CqGBFIBuEAEGxHwJGABG4EZgzwIF0Qw6sIrtOvtddBMO9Cma6hx2uQVO6WK4CShlzTG4CXqyVgBTrVSChTPx5QCIAh7lpv7zNwhaD2I9nJPw7rYdDYELPEp9lzIfsJXEgzR3t9q+moWkP4vOnFEu+Y/8059E1Vsbe8aaoZrmsd6ACBsv6DvSh8RdVRKkr9sPOmA9zVwJZCRvNMju+5bxa1UJqJxfmXb0wo2lfrgRY+wQUEFpKIYsv3ni7PM3PCXdEc4tAkPAsszI4OPDsAifJdc5715r7Z2DChZfSFX2cIl/dWQDVlwMgAR40WQkdKH4n2dqpf4QTB95+0gQ50L4lCAWe8PEDHiLNLtfAL4DwISMBMMX1aOdo1kqBjKl2ElTMU4KdeeByoC0C3cs0FwWA3DLhMQcq9qQ+FamPRi7woRLHgAkn/hmcBCZ9JurmjvtSBUwHUm4dcDeJKlx6iWS5R1RbogAGLuRlSYqpryp37EWU/i9d112LAXNQgGf+rBXAwIGM7rsDg0nJ9iIrgz+f7QvVVxBg5Px2tUJUfeh1Uy11CXagAgZLsHlV08XbgZ4CBltMNfvSsG818N/L/BuFuGbPy50YA/zyEhp8qkKhXrx5cSM0ZbTX2CfixQV2o5DXWAoko38JIzRDZTdEToIY7Y8gjZwF9NMIDBwA5amOtCF6Hy2aNtLOEWKykCDwEewIUwEEAv0IUES4qI1qJbAvnCOzAYfD3bZ9Kqus+guyDmhdgBIEsmol8DskQqxJtRIUzyCrBkGHKrykktEilIpBoK5VFzTHEfCJ4AgAwz4IfMn3L/eH2iuwEiBFoCR900YFkWKGgbJIBCbYT1FMY53KWQzLtH80ehE7dbeNLAYiOBKQEzDNXQl6hva02xfvn7W6uk/vQAUM+vTt79nFCxgwqqwD0viJOejKYoCeG68lZTGPMaDfHamVMMHs/DGfq2nQrnXrxSzNTwIEYclLNqUrdngRJQVsdfRvsvYmZ6vDdKvv+ZtzmHIFDFK7GrGQuAJy4qEIDgrhNr/O/S/BH3nvaZMTHKXxa/UCfFzXgOPBvLzugRcI4icGEfK3BKGi5LmeeITp7UPt4Oar7DC7PGmqiosgTuEyOyIBEnz3lGVGgF9hhybTPaZ8NHT6lWtBfQKiOE8cAO0JiKTNhjYhgQysG8qEAKRQxRFnBpYLAAgH7hDGQ8tGCKvwkvZCJnzOo8GjVctFJNePhHzU/iNYYxzmVVYrQW0iI6HuoypH0j53NUSri+6R7pkqOir4MN7LeI/VDusKQElllwEUhZVLVpdGFk3aVpTIPfuu6+2jVcCgt9/BXjT/H/Trl2abAwAFHUZ+AgUnxjoJK9fWynX8kGnmhnE/6GcrzKa/NLt33y0WEp4K7JLAlqBEkG366kSzJ2opbKR7keoFpphT6xy5q4kyMD8jzGyY/z6vGbBQ5JOnKHe1EQFDTB+rtSHnnIA35aHX27nET32/PnyAvdLk1RVjdHsMVJMvWUJOdQ0Qlpj9nT2wKDUNF4AC9BCemKeJRTjv6ZPNnjL7zN7ftx9MO9b6EX9Ym/8vR33QPt3+Q5vxj9Xs7HWPthMnXWITR3lq6J+e3tn2W//H9nX7ZgoQ1EHq4Bl2kk2yUQlMHGUXJevCl+x7du/fdrWdN/q1nWZfq2vbtMMy8V07yR7t2Nw+1nStnWDnJnBykR1lt9iHkmWHVEz59N0asEqqB4l1gtgKLB5o1wAEPuU2KANfRVqgF2fCWiBKZLk0FBPA/MSwGNNHibl4t01OAEzlnfldPAWybEjYax4KRIwEXIoNiFYG/U6QI5TIcpnINRJrcChTQ/OsgEEvekkuJ1OtgMFyciP6wjQ6AwYS6l0BAwCAQEAODAAPsjgkYHCN2cMHbFBjjnPtKfqQc5cAQnX0pH+YPV4TguSGIwwR7ACDXMhzDqENv04NGJBPDjlOP66X8p6DCQl7PumjxQEFxDT9SD/joL0yy2rAgGj6Ka2rNvjEo+VD/mXfR4cLCOTL7bBkbaCEMpp6tFIgfAECHMQSIEyxFpz92NeMYoSf+eT37fLJx1IQon7cuNlu9vEZP7U5/xhmZ290lJ34xCX2/Mar20ft5/bw/dvZ3uN+at+z/0o8CGmJHR12d9P29jU7zZ5rW9eObbkwCXmsCEfaJfbAH8fbdtv+3s634xMw0UHRpVPsVHuobawd3HK1nWTfTWs6y75k19s+qR7DgXZNA5jApUF2BS4KgI5bIaanbAHCTjkw79NPZByMnAQS6LFWQsyuUDyBwJmyNPhUrQQHBh4fwTMn6mYJ/ui+iNUVI82ywER0/Sh1FtBFLAzXxHRaLA+MF8FKLNy0a83q0hfeM9Ual3wHKmCw5HtY9dDNHbikZjGQEI/NunIlyGWQAwO+jxYD+kiuhL+Y/XDLA1L3OW98zDoQEREvaIQJjHIId9jjXLCF/Pao/deAweurDUjuBLc8ONNBNAVHV4I0eRdEfr00VZmCGbNMyKMNOxNfebElxSsUwKB/4gtAwCKkECaeGVDkssv/TxsEHoIFLfmG9n1txsvD7ciRFyaB7LTKbjJA8H7Tvp60cwQ8rgbanGFftgdtbBLGZAFExkSELARL1FT4gP3O9rCbk/vlCvtUAi/b2n12sF2doiB0P1jrL2z/pP3vYPfYh2vZE3ATYOUAeABk4jisB9cDQIi1Kt0Ra8lGU55PQAyWwI7+K9jAOW/YgBoQg8OA+421h/x/XEeQMCnGQAJdYEJBkiK1UjAnGRqM6bEpHhgpK0PMvmAfBUCc+XBW2lvFVnAt38U4DQVcKoATi8lK7TMbSJHoq7l9bnJxsYbiWfGHeR37v27+l1aXVTtgVgGD6inosR2IwYcMmnMZLKq6YgQGtC3jMSArgeDDE4ed3rCuGLAW/fHS7DC1i/kwNpR/XrninJNgV9XCzpgOFZgmwSoNUARA+Tj8rSAyjUPfiheQrz+BlsDCKJeC+stJjxCY4kHQNQhifNUcXpxotZTS6XEJzUnI72G3NMQukNKIxo7mzTkFH6q6YiyipHEIMPyrbZICGzGBe9nlwSk9UqWaKbsMMBF4wkcvngKv6eBBoaxBgZ1inPR9cu0cQICAVFol+3+IXWUb/fF5n05rzVKDVUYWGlEig31qv782akgCB9wnUSLzzCgeIAI0uaNEicw8WSvCX21iRkUkmcJlEC0KSmdkDYoJUdyFgAigaOSkGsERli0xH7IesTnKFdbfrVgc/YZVzIc99qJ7GwxUAYO3wU3sLUtYVFbC4gID1i1wIO85DPnj/m729bVOLt2WmI4ogY1QARjkzIcxwl9CXoIIgQAwIKhO3/EZ/fidWwwa6zbEieYWA87FQMIyMJEDA66JaYIqA6z1cl5pgPyutDfWg0aussqY6xXgx3UEH15thyThTOAh4ADLBMyJBOthdcG3j2BbKKDRhqY9RoOnPdwJtEHoAzAUB8A4WBfus21T1gJMhkqbRIsXc2J+P/KbzX1AkANwtpg4IVkMFrSawQw4CCEqdw/MhzUrEVYDLArPNkN19Z56Maao/fveutUnCnliGVR2mfUp00FuDFmI1I6/2Vu5DZwtcXACfAIL0RUglweAbsOOJ23wrHn27yEDEg8Dx4odsxPpEfOHq0EWLIGtNaNPqLe8MKp5LrMdqIDBMtv6vjdwGTDoblZCd3kMtsWdcLvZjTvv1lAbQC/kWFZZdwBggPAZ9mgt0jDWgtbvijWI54abzRnmwgQTrg5y5jkw7Yphj2sScKgx7ulafa/2ZD5g6k5gozbW9JbWOhMf38eiTQIjipuQIMCEj/CVpj4q+PBpjxWBAEQOLCUE8qHZXzb1CJv3wsp2zNgz7ZwZJ9mA12vxFGb20zX2tiPbL03Bh6eve6Kd/Op59rcR69iJdo7d17aN7ddyXXIx4LrQHIljIJDwhY5RdmjTFXa4XZYE/7fsG3bbK7vYh1e7yb5h36oHEjJ/wMlp9lV7tG0z+1jLtYnWmOMqO8Rut/cnhkoEfnQ/AJ4i2IAOWmRN0r499XBgAgwIZQ759qO5vqiuSLriKgkI5K4EWX2UtuipmC8kTV/j8KzJ3ZH7/hlPwIB5FDTKTpWsOeeBhMQyEGMBeBDBFtfmAYuyZDBPjpPt3L73wqlW/KZ3oAIGb3rrqoaLuwPEGOSxBEsKDOIc6Ivgw13/1+zPH920XtwoCdlaUF50DagtgmKLKRPIh6tH4Ce3uoIMVY2vCOr3cwQeyjwdMw/0u4rbxEnG4ET1r7Fc6hfabK3dghFmrwxrrcdLxJgGBwYOe3TwNwL5J3ZgEmwEHqKpax/4xFRPsCHXorGjmWMROPO5b5g90c8SZ8vBAAAgAElEQVSO2ftMu3DiSWbTCmBw45a72T4v/trshQF2+vgT7ORHz7OXNhtmH7ef2b1P72qfWP8H9l37sg1vo5EDpjuad7Tj7QJ7/sX17PMjz0pZC7gQjrGL7N6HdrXdxt5o/88+ayNffS21QXu/f9imidL6sce2tk9s+gM7x05M58huIF4BywPxDQQsSjMGbFAMimwM1ksGBFYIvgc0RIbGSCwERJCZXjEf7vBYv2jT0WwDmwpXQkO2QPtA65jfZGu1TE5BgRLyolFuzEpw37/GicGHsb6CaJbz4EMFOcK5gVWmDBhwjWp1aBzmdKUdubj/rtX1fXgHKmDQh29+Ty+9M1eCsgoW5UqI8ras1gL9jCcr4c9mPx63X0PeflcWAwQFwiT5bjm6KeSxFqDNR4GrrAAJ7JxwKM9Tl4avTwGXeG/QQNHwBW50rbTyWOBJ7cRSiIAi9x3t2nGHWzNEs8zvmMHRrhGG13Xsb9P+McKOGXlu0uRXapuVBDzHdc3725ftOzZ16jvsG8O/acd1XGBPN61vp9lX7CHbMmnxVGxUDQXaEEtAdgTzp8wzLghcFhfZ0XZfxza2S9NtdqxdkOiVo7XjAjs2BU/SBhDAcZN9OAEetGaADoLf997LIzMH1o1FAVZHhLIC/BRsiQaOQJbFQIGAAgfMgX14xtarxRisVLcYRHbL/F7ErAQJ+ZgJEzMIBGZi3ELkMZDFIFoztDfEMmxif01WD9owVqy7IfdDblWqLAY9/bbr3eNVwKB3379eNfsljTGQvO4MQAAMiDHYKgQfxhekXq45GRAvWQQNWvPCQt5HjZXytOnEF6C1SaiobTGO0xTHQ2mGuXCXT75snFi1MM5PffCdeAw0lnzsXIOwRDDHtrgOEKAcBNp58OFK9eqIEBWJ+VDjYOJHOOfMh3fYTsn3j48drTm6NdgjrBPsk3vun00C91HbLM0JEzxCHAZAjQMQgnoZTZ/riV0AMKH9K/hQJvy4B6pnIX8+e7KD3Z1KSbsm7WmEugfRvK994zpiGZizMgVEEhXLIcdsFwdXryZ3SMxK0L3ku0iKpLHESsHfkWZZ8RMRTKgNbhqeUwVZylUQmQ8VsBizUHa2+3rVu6Ka7LLdgQoYLNv971OjL6qI0tKwGJCV8N7pZse3nt0gCGUx4MvIY8DfaGjK5Y83RFqhAwP/KwqQWPkvCvoY1LgwMCj6ya0FCKoy7T9aDGIGREyRjK4EX1NRK0Hc/7EtAllACNM54EF1HpgX7gVKM0eLB8KSlEGuI8gQMIXgR4tHyCMY8bOL3ph5MHeyHhBgYgdE0KKVYzlAoDIPBJsO+mTOtHWa5WfTPKSJx9oSAjuMiQVBmjRtuc8AnO3b70kxIATqsTZZbWLKaLxP7AdrFb1wfl8i54DaYZERMIhkRXLzqKx0HCcWv1KAaExdjW4Bfwbnp/gNwBfrFHDhXKyVINAUx9oacorqqHagmztQAYNublR12ZLvQFcWg67okBm5s+BDndPscouBvo9CMQcGvKDRWvEs50cUCjkwIH1OBZMaAYVbGaTFRa02zqMAGUVEY24x4PrIY9A4jrsFcveEhIjWidBXrYQoyNDgo0UBjbosXVFABy0fiwHaPxkJO9qdycKAxYB2+PwJjIssjOxRtBh4uuKKKcBQYELpihLyKswkYABwyNMVI6uf7pGi+fkbqwbzwOqxw7QHElcBUfzk+ENvTVQ/B98pWFRAC9Di6YpewwKhHs3+McZA9xZgIB6D6EoQ7XSedqjnQ8GJDgy8WJPHGMxvIDDS3BjHCY5mJfeJYhkK8iWvv6m91PO2qT2z5P/AVQ99ZgcqYNBnbvWyX+hbAQzy6ooCBhRRktDUS1J/x2A9pY0hnKg4GIV/3LEy4iFM3Wi9cZzYJmqm+l7UuPobDTEHLZqDhA7C1QmOCreGr6n4O89KUP/iQWCecRxmLkph8Ry4dj8qmdw/ZLfYfnZdvVYC/YlmmfOUbEbo0hYeA6wCCCzqIcRaDwCHR2zzBKAQ8LgF4CCA3MjBxAsJlCHUtR6lTbJu3BNyJYjAqAwc8V3kjWDvmAfr2HrKY6kJZZexHJDWl1IW55vNS6RHHiipND/WouBDpR6WsRTSp7IGZC3hOwls5iPBz3xihgH3wq06XpJa3Afc+5xGmT4FLFR0CoKjmc2e4sgBUADwAHwKimd682ekKru87N9/vWkGFTDoTXerl891SWMMcoIjtqMMGIx7yewra3y9JrBjKoFvYM4vEMsul21xGfcBL3oEGP7/zo6crIjrYu57tCQIXJSRFTEOQrHMRBwFouYh7VLVF6XBOphwKwMCSdTFqlrIOGj3kccgxmN0h8dge7u7gayIedMOYICABwQwHyoyRh4DZ1j0uQEIAA5UhcTCQIwAwhPQEnkMFvXvgA4OeHnf5CcShfWc1oz5sMNsQUsj8yHWA4+EWLfOBaF0RQn5QvAW7JWqrhiFvGc/OIuhXAkxrgEtn/sQ3SSLYj4kUDSxPrbNspktQ+rcB2I+BNzIYiCWTfapYj5c1NNSnY87UAGD6nnosR3IqyvGgTHsdhVjUFYrQe4FZTXQn6ornjPG07Ni5L6Er7R/nQMoJObDjme9TY2HAK5/VVSEWwCKZD/vWubUlmFJ4MXgQwce7i8vI0VyzdFNvVHQxzTKqP1L4xcwUKxEjEUoI/thXrG6YllwYiwjLJdC4j5oW8k+1XKFHW0X1yswci3xBWQL4NogU+Bj9rMkrC+zw5NrgMwO6IsjVTHaN5UUcWUQt0AwIDEEN9i+qQ37TuaBMgzYF9bKWMyf6oq4LDhwZRAYSP+Y1LUm0Qez5ijEuY4Yg40mOiWyalMkOmSFNNQYD0VyRFGrMoIjL5Hs3AfS3nUv+VT8BPdR1RUj90EMPhSwwGIQXQkKcmzkMSieFfoge4MqoCvNmGezW1ZItMjJ/dA2JxXiErUz8xQ1Mr+vXsvg6LF/9mqgXr0DFTDo1bevd01+UbUSuso24P1dViuB7xcCBo+bfX/jzyxUZljaeF5dkRc4roT12yb6i3+Q2yEABap8OCDUShDN7D+HDUlWAwlrUfPKFaCo85jCGH3NMXpcmnluzaBvrBJoylEgFUDCRy8DEwhltP8o1GIwYR7IiCDGLTB96lA7fPildpxd2CDkEdZn2RcTGIKo6ED7SdKuL7ajkrsAawFVD6Uls4ech0YZqwTAgKBF2sNHAKESOfm0IaVSwE3zYP5YGCAr4sCKQH8qu5y7d8RXwP30QES3GIx56kUvekWhq0G1glWqmhnog1Uh87mWdeq1EmR1iYWXotYfXQkxxqCMFEkAUvERZFEUwGBwur8FWVF7Q4yB7j37tH7709Yy441U+2F2y6BUrIqYCYAroBVwk4BBjQGR31etFZLqXW+MarbLagcqYLCsdr4PjhuBgZYvQ393iyghsiHjUzvAAuBAwYvEGIydYHb+mM/VCsk4qYyEiPz+8u1LmGPmVjCeTLAS0rTBfyvrAX5qrAoIOLTn6D+OQlrAIGZExEh4VfuLQj6Wz1U7xsGsrih1mdxlKcgj2TmPQBP3QcyoEDiKbbgWvz/XI3xndqxkBzb9xA6xq+v+bu4XLoEr7NDkQ9/XbkgBiAjxa+zA5JOXEJewYwzO32071F0JWAAYD5BBASbM4mj1scgTYIt4BuITuCfKnsC8T8lmCf6YDsj88swQgAHWiI0erFkMAAEo4IA8r11kxncimqqBhJfWGJYKOCGMy8ouM460/uj796yE+SkgMAZEam66VqyJea0EWQwUSChAqWeGdqlWwpRarQSthwFqMRORmEsFojg9oLWqldAHX7lveskVMHjTW1c1XNwdEDCgnQiKcmCgPnVeMQS8u1euneyq7DIER2OfMTtn9JHJZB9f7BKQ0VSr9DWAARpfmZAXmAAoFNYBzxaQRpnnyMc2SXuzgWn2kTPfA9vQEl3jTwCklvHOOBqL69CGJfDFwx+BgeoTqB39AihiP5EOWrUSOK+gPgQyAh4rA1UQEf4CN8xGWQkIPrR/0hVxEeAqAAAQD8B34hNgPOIFVOWR/X23TU79I/ixgvAdVgNR+ropfkhyUbBuAIPImeiLIL14+D6zd1QlnJniG1g3nAfsKQyIG91VK6Ik6wAuIVkMIsNlDSS0jVrBJjermqUH83VVXZF7SnlnSI7Q3hUAmNq0z05WJ6xQgEmu9WfFgw8JIoznWVt0C4huW30ObZ9uLRPfcCCgAlA0UrnuWqnuOuhxT4TZqAoYLO77qi9fXwGDvnz3e3jt3bEYRNCg6SmWoDNgoOsADMli8LzZd0Z9vq5hcz5qlzHGIFoMiJDPgYGEae4WcLa9lerCVyblxnGcoqaMAKkQ8gUwYJ6R9CYCg2gxEDAQ0BGYoL3iFiIoUhlgziv+wYMP3XyPUFelSIAB/WOCJ/NA2itjieCIde9kd9aBgaorAgyUeihYA6DxgMbBCQQIGEBghPaPMBUw0Hq4FpcB40TWxs6AgdoNtX8lMEA7AYOD7Srb9EF3EdWtA6DRHBjE6opreZXJaKGRiZ/PGHzI3nIwz4LHoCBSEr1xzBSQ5SAvuyzXjtIVYyEkxSgwzqqTZhXAADDTGTCIwGFEBQx6+HXXq4ergEGvvn29a/KLykroissAcNBZVkKkSobgaOwrZieN+O+0OTIv69OFr2vnhUm+PaXZRR6DaJZ2geptYp/uSvDgQx056VBOiazr1EbpZHEueRwAlgnM6jnAUF95JkP+VAAqEKo+d9+tRZVdxrzvZZcL9kaAwa/sw0njT8RBdk8CFLgFsDrAY+BkRUUbxoUwiDYAL4o5RR4DwALWGlEUMzcEOwCFvXWGRic4EjtjvAdxrSky3+bWiYnEY7DNjAfSZTNbB3mJ5uAWin549RuLKEW3QCPzoVRxn0FnBEddEQ95/kB7eq5ygqO8VLPWSZop+yEiJ/EYMI6DFrdw5MdGNZbL3vXGqGa7rHagAgbLauf74LgRGCjQMBYrXJrMhye2ntHA2hfTBDujRAYYRH98LEKTMxIiyImuRyPmEPOgXAX+nRvy4xEZCtWnWyk8FkLuhAggAAaY3UXnKwEvAdDZOAgP+hQlcgRJaOr49zkiJbLGKaNExpVws+3RQHAEMCCTAe0fIQ+XgYCNyJmIJUCAAQxIBEQIYkUQJbK4/zU/AAHnxWMQCY7YC443Q4kst4/cPPSjOA/dLz4ZO+cxiDEZkeBIFqKcEtnJitw1xBFLKBcxJUXQaHcokZkDFoPOgIGeC1kx4nNRUSL3wRfuEiy5AgZLsHlV08XbgbeKEjlyGWAx2GiW2fEt59UEtgtm0cfG4DvNHk1TFoMcGKhSXYyAVzsEGOCAI6b+6cUsy8SigEEslhNTD+M4aP0KaON7sfvlAETAI6dERguWNYM2CGkCASUIFWyH8OQgVoD0Q1lWENqkChKAiKl/B7snpRpyPYABbR4/uyLz5VrhWrlB5BZg7u6+eEcKpqNNjN9AWNMfbUXExDy0T3wSayAwJUBFjn9XlMgzm2jjRZQE2BhD2QBO5ew8Bo3AoNHdI6rkKOBJI5QrQemK7GNZfQVZVGKmQ95GLgvtowBGBAbOT+F2NK1JoIV1xGe2okRevHdVX7+6AgZ9/QnowfULGJRVRnyzlMg5wdGHzexdCwalsr4SmnwirMuEvILXiKiXyboQGismwecvXhdL8eAcgXIRGDCG2sRMiHybI0BBwBVpce0L1Uvw4EN3BWhNouuNKZLROoHAFZPjQzY2pQZyLfuAYMavrzRAhD1aciRyoq1cK9J2AUE4AxA67BWshKwXzZ99QDjFXP9o0ZCQFHCRyVv7z3mxQsYgyegmYbcVQ6DaDmoDIGC+gAMAB6mOtCUVctdX703lnGe2OiVyCvZsn1uvn6CYDc2dNXp9h4HJnSHgIOEc6YslkHElYIXhiCyGcb0KQFWbmEYa23RmZVA9CIAU62XPi+fTwU5Z/QTmVLkSevBF9zYYqgIGb4Ob2FuWsChgwDrKQAPfd1YroTNgcKRd2mDKF01tFFDS8lUrgdS4WKtgUULegYEDB7WL38WsgXJg4OGFCJ6YL5/XS1CQY7QYLApMICBzYBDT75RayB7AQihgoGBDLAoIfwdVnn4XXRrEExBIyDwABgCOKOQFQKIJPgIXZUvE76TtFvUCGt0w2GeUdSCOBrVByOJyQGvH2oCFhLEp87zrlHtTSuLrw4taCUo9hVZYVgS5mAAdgAP6BhjEzBH2oyweQBYDztOmzJWAdh/BF2tRbIVr/05WJItCbpkAMBDVAjDgPtFGWRp61vQs+XPukI5jjL3QW14T1TyXgx2ogMFycBP6yhQW5UpYVPBhDDKM6YziMWAfsRisPX+AHd10UUMmggR2TA2U9s0LNzEf2rMLCbdC+/dAsXio7LLAhguNwfXSwLmVQQx96kNpkwgg+pL2Hxn9XNCs0lCTQZphmc9cYEcChPYEDSL45X5AKBPwJ0ZBLAqYznXQP9q3+ANkwsfnj5md9sQSADy88NK7kzBkPTmTX9wv0hi1h41z93RDxGTMuMhBnIL1aAsY0bzYP/oGrOB6UDVK1gGPwS7T7k3EP9NbhyRhH91FhSvBixdxADrkWpGQj/TWsXqirEKKMaB9buLnuyjk1SZmJeTAlTYxlkHjc1+ZnSwnuXUqZqPo+aKvLWolxfvKu6Za55LtQAUMlmz/qtaLsQNLmpWQA4PIcSA+BIDBunNWsKObv5+0M5mHpV1Jq5WJVxoc/na3GHTUtTiVIS4DEwhHZSUomE2c91H7lyCUZqwURJ9bUUVPnAMSfgItDgyGJvbD6Dd2Dd7BRD4/2og2mN8BBcQHRP8zQp84AuYlqmGlajI3zlOjoBBQA5MwnlADGAALrkGYK4NA3AgShAWhj0fJu37rNREkcCOYkMsizyAR2IhxATLxCxwgbNGkuZY5AWJYB5kV27fdm4okTW9G+3dgIIIrgZHoBpErQYBNkf8aP8arSPgqK4F1AvLK2jTyT/hzprUVwNWfEOYXAxZlEVglAQMvbe2WpFUaALAAiECVnr8qxmAxXlTVpVYBg+oh6LEdiMAgH1TMh3xf5k6IdRHQ67gmuhdoBzhQuuIXR3yrQTPEtM2LNApxCV9eugADRdRLo4xugbIYA4ST9+kvctqpDX/JLB+FvIRenEeZWyC2UYwBYCAGmZVZGbydwyQJPzIGVHYZsMMcEKLKwsB0Lo4ArkPwEXhIOiLzFHkT2QvEIzBfqI0BFgCW+22rFGCI+wLvfAwU9BgEz6hQPQH6RyPPgw+lidM/6Zl8qpyxAJLmzxgCMpFKOFoDuGesA2sQ1yrAT9eovVI4JUSZm1wJ7LH6z+MjdI/oL85TrgbdAwdKnnVStHGXgSopRitDzOrQ3HRfsRiwxzyz3Be5ErSmsowJ2u5eqzfRY//s1UC9egcqYNCrb1/vmnwZwZFWIDdCZEKMq4s8BhFEiNtAYGJbM9vuXrOfbrt3PWefFzIvUbQ4aVLRj68Ygw2n1RjyagNTpAYftLdpT6x26QU93z8pYKOocM2VMYq4gyJdLQp6aZ7Mwd0CCwcfxutluYiCBQHAOIo7yN0PgAECDpkPwofVax8idwLjE6jINQjDO23HJOwpkHSQXZMEkNI2KYF0hX0q9elFlK5N2QXQJGOVUNwCJnkJKMzypDMCoiBFIg2Sed9keyUXB5YHyJSIH3BnzcCU+qgiSl6Y6aa0vYxPGwDIe+3xNGdp1fSJVQRAEUs5e2HsqQ3EVfG5iimcygBgzvzEmgh5oazifvsTiCsBE780fcVQRI4LATUFXvoTObseNKhrVR1RzwB9aT+5VwADQGfOWRDHoq32k9//yy7sXS+LarbLdAcqYLBMt79vDV5Gibw0gEGslZCAwW/Nbt1tfJ0QyAXiivXc9zwlEEGGUFtz4jSfjmhym83aWr0gTayu2K+GXii6Q8Ea1U7gOn/VOwCR4Pcua6AiUfg2xirEoMAYfNZoOvf8fQkymYyVqhczJugDUiGCCtEoiZanLLD2QdozwpoxiK1A2BI/cJ3tb6/MGGGHtl5ph9ul9fQ/wMRt9n670I6z6W1D7YstZyVwgDA+1z5vj9rmtqPdkWiUEdjy3RMESCVFLBF72U22n12XQMLVdkiiRWbfARgIb2UYAFCYBxYKQMPBdnWaO+RK1HLA2oE1AyEp4Yhm/4CNS0BlA3vSdrHbE9hwuh8PwJOwjvso4RuzPCIwiCAqz7LQftKW/RUwiORVnbXhe+YVK1Fqfqq+KfCq2BC+Z00CBjH9VC6q+Kwpe4LvTrdv9q2XTbXaJdqBChgs0fZVjRdnBxZVdrkzawFjlGUllLkSqJWw3Z/NfjTuPxu0xLJALs0dUY4/nap1HLDhcUSNKxIcRV+ztMz4UpeGHfPlo3k/xhuk8QJbXTSFq42yEiJFbtRm5ZaI90IpewiHWH8hUjdLiCgoEPiAqwDBvY9dnwR25BfgHAKdPg+xq9I1XkTpoFQQSSmQshiIr+B22yX1iTAHPLCeW+xD9qRtYBvahAaLAfuossu4IMbZA+k8x4M2NgEeD8B7IUEwrYc9Zy6Mg/aOm4TzAI4YEBmtLn6PC5ZABDXnC+ZDhxVqk7NV0j5STDOu+uyqTXQ9NT5LBZtitGTQp8ANa8clo7VH64IAj+YZ0z6PscsX51+1uraP70AFDPr4A9CTy4/pigIBZZkGnc1JwYZ5DEL8/oOQ8zxv9u1RX6hHrUezbnxZNgKDBxMTYPQ76/eyNhIA0u6Unhe1uDJSJAU/yjwsE3UUWGXZDyqilAORGHfQ2b6pDgLnNR5kRBJkOo/ARrgyBgRG8BwIGNAW1wR1EbCKcI5riE1A8CPMSW/ExC+3BWvCUoD5n74JVuQHa8JDqYiSsyViNYhtEO6UcWZeCHjcDeybij1pnWXCU7EHXMPvUDBjMVFtC1lYBLoUfAiYEUER86WWg1w8eSaDgg8RzuyhF4AqUgNZa55dIQsPAp54BMBKBHd5XILiNBTESBtnLZiZMi/oJ3JzOKD01FdZrGgDkOD4iN3Sk//q1Vi9fAcqYNDLb2Bvmv5bBQziHlBEabtnzL4z2oso5YJU2pcEg2t9c5NwwgTtAtsDxaJfOecWoJ00/fiCz026OSkSL3AVVtI4i2qDoERIahwR5UhbVJ9xH+KclCMvjZLxEDAqoqQMAT7R/OmXWIAP26+SwJM5newFTPwIdgoske6ITx+aZK+u+EwKSERQSmslXgDzP30j4Mfag8m98UfbJsU04MbAkqBsBdoBgrBOUAjJsyceSHeD6xlP4KozgCCrC23gWkB4y30iE740dRWYciH/SnL5AICoCKmA1TIeA/WD8FWNhoU5CYoYk5jiyDhkaERwGF1QcjXJxcScWIOzZsxMwILnKk+L9HiVgXVggKsFYED7j9qvetOroprrMt6BChgs4xvQl4YvS1eM2v6S1EpQP8QY7Hin2c/H79mgkUm7lCYpwcDfvNC3svtt5KTXPL6g2RJTXtKwa/WR+neYKbZA92xOi9nsFi9vJxIgCV+No9gCtUnpiB01/vwmByA5MCiCEz0uAVCgrAK5KaJlQj3EZwmBjNaNEId8B2EStWkCDBGyHGjUaKGkHSL4X3tphH1+zXPtJDvDVuyYXdsHfPx72dfs2/bPGcPtq62n21F2UTLtn2ZfTWb+D9kt9im7wkipS3tnTSn24DI7PGn7sBAeaNek9Vxgx9l9HdvYLk232VF2cdLWtXfM4wI7Ngln4hIOt8vSuZvsw8nSgGCFwlrasIQ+wMWLOTnds9JBvd/+9UqYEUjFLAcJZNYEOMgtBlFgN6Yezk/7JwuMOAnk4uks9TC6pwTeYuppTIsUjwFgDrDEMxsBn84r7oE1RyvG1+ysvvSqqda6hDtQAYMl3MCqefd3YFHA4M0QHGn0BmDwS7O79t2qQSPL076iwEaAUIFvwKO13pD1qmuvyEb5PkTGx3nYkFv82gWDHER09OdnBWua/4Y11doAKnT0o9yvYg9DWVwBkQQ+NFat0eurDbBXmjyNUJaAHIBEoMM5jPa32B5JGJKu54WI5te1fwL7MJdzIGRxAyB0z33lBHvj2RY7Ztsz7cJXTzKbUZtEf7Ofj9rTDpr6E5v3j5Xt9E1PsJMnn2dPrTXSjrBL7a6XdrRPrHm1fcO+mYICJYzvse0TmHh26nvs6OEX2RftrCS8v2zfsT88vaftuf7P7Xv2JVu77cW0bxwPNm9pJ9rZ9vBz29on173UTrVT0veX2RFpTbgXiG8A8OjAugBwYd2UfsaiAXCQNYS9E4thXqZa7qAITJ6x9ZJFKKY45sAgPvlKxRSXRWQ+lFtAFh6B1FhdMWr/sVSzLF4aC4BHPAyWA7cfDAlsip7CqedE94DPi+3E7v+jVlf2+R2ogEGffwR6bgM6Yz5EqBM3sNQsBjeb/X6P7epR+Hrh50FZfC/tkZftqk/N8s2QwC6qKaNyFkdNcC9odf59jtlNzg/AEcfRGGqMcFmxbU4SgrHkb27R8HY+EAJNRZQ6cz/k4xBZf7ftkMzh69kzyWSvg7H+bmslbZ8D0ICvH6F6RcehNu2FNeyYdb+XBPJKM0AyDniua9nPTrRzbOorw+3U1U6xE9rPtaeb17dT7NTkLkC7J1NBmjztyDy42I5KrgaCGQ+2q9JasBjc07697dJ8WwILWAF0MI+z7Ev2aPtmtn/zdcmiwF5gzcDFQAbADnZ3wzjsEe4JxoGREZdGjPgXIRT7FzVpESTFvYk8BtLKpZHLXJ+DCYABlgrO0yZSRMv3r0BHPR+RVCmvlSDrTuQ/4L5h3VGqZrQYKJ4lupDis/gtO73n/tGrkXr9DlTAoNffwt6zgDP69asJzoLEKNY66KxOAo06q5WQr37HLlwJyvlXG/mieakiHEd1OJ88Qj4Jw1qcga6PKYd8F8mMymIZ8nH4uzNtNQIDCe92RsIAACAASURBVHkBA4SGyIyU0ufzc2N0tBYoFgJXgQoBIUgJNowH/eFu4JArgevhDyCg8ONJiF9dZ4FkHNIf0dpZN1kJuAbQ/q+1jyU3BJ757e3uOrUwfdMnVgPGI2sBXgLaMw5WC/adWAXS8HSIx4C+0f4JcmSNAAYEP/cLa0FcN/PDRYGmLgZGrmPtaNlyNyheoIxESG4d3Db0pRTGnOAoZofoOQFYRWAQ6yLomjxuhWehkeDIn7voFhAA0dwAUO5K+HedfjsGx0bXVLSSfcKu6z0vimqmy3wHKmCwzG9B35nAaTVgwIojCJDFoKudWCxgEAiOlG6WBxIyloQDrgTM07zYi4BFxI6/ciWo/bOw8xfAoH89rS0nwsnTFOlVwXll2n+clwSfCI6UcpnHJZS1YW4IVq5Fg5d5X3us+guMIYIjBDLCn3No/2j4MXjS0xUPToKdc9ANy4QPAIA5ErdE5GmgT6wGCj4EPKBNd6XdI5ixQBADQZ8EHwpkMJ407egOUq6/gJICArmnCO0YfChAmAtsgS1AAeCos6wE7T/XS/sHgJABIYtBrKSocWK6I33klMhyP0T+ghyExBgDFfmK6Y8RfESwWWUl9J337NJYaQUMlsYuVn10awdwJQgQRDd6JCjqrKPuVlcUj8GPx+1Xj9Au08Yl5FUrAc30Pe3P1Uvxdt6m8CmIkjYS0MT5l3EXyIytILEyq0QefIhQRSCqbHLUIgVa4lh8h4aOdo1wAxjk9Qbkn+Za1TDgekiMAAYH2U9SIKEKC3EdrIi4AGh7qF1RZz68yg4xfPLEMsA5oOh81gEnAJwFCFusBfAY0D+xAlgAAAqAEOaodTMPyIww6QMK9rCb07YSyAgAQegrZU/3kXXmFgPmQf0LiIfy4MPc2iDhzSfjq4hSWYxBBIy632jyZEBweLqil3eWNh/vc6RgFvBS8S09j4oH0XOoT7cYTEh77MDAYwzKwE4ELnva7d36H60uqnaAHaiAQfUc9NgOLKqI0puJMcjLLidg8BezH255QL2iXaSKzV+iigLHJw0lMgGEM1sH1YP06gK3o6NOhUxgIQcZCcqDRxhE0y3nY0U+CfAIDJTvzrnopiiAgcMn0vfQ/hWlLhrmvE0UdghJdyU0J1AQhXWaexL5g5PGCzDgPNfDU0DWwWGtl9txdmGdspc2CPPv2kk2teMddkLTuSlegBTCC+3YFMWPyR/3gmIMZP6/yg5OcQWABlIgATpQKxPsCFgAZKAJa/64GKBZxj1B2iSZDNyHO22nBCZYD5aA6Pf3Ko8QHK2S3Ca4R7iOFEoBAwn5WA5bFh7dZ+4hKZuMU5aVIFpjFa/SP49nJXichI8DMGikxI7Poe651lyWlRAtExGAAAwUfMg95GBNSi3NQS3nd7b7euz/vBqo9+9ABQx6/z3sNSvoquxyVxkJLLC7FgN4DMZNMDtnzJFJKKoAUNykvOKhmA/x3bomPzi92CXM/dNFiF7oshIo3S1SLmssaXE5Z4JM7RIgcW7exjVNHSojLJKcGPimucXUN76LFL+RvU99SpDwt2iFMeGT8sdaKFeMu0DVKekfN8PldlgSfNRRQMjDTnitfTzFC2AxUIyB1gxwkBUCrgjFGABAEMAIOSwCSnFkPoAgziPo4T2gxgL7wvV8x1xiKqKENSCN3dPacDkwHlYJuRLkatA9cOErmi3fHcaBHlp7SL9lYCLeN+IYBAyICcm5D6KwjsGHhbto4VoekY65ERgUMQZ5/Y8yawZt32eP95r3RDXRZb8DFTBY9vegz8xAwYcsOMvIS3vwZoMPIxcCZZdHLRhkx9hFDbUB6H/heAEXvg4MCuZDCftFuRNEjhPdAtFk3JkVQGyCkQo5t2pEUIIg9lQ7T3DLo9sFVtQGYUOUPGtiDsQG4OeP60dYUiGR4w7bKbETIixlolcZ4WiFYA4IZuZaFtRXpuF2ZuLO6xfEvaaNBDGCTsyDxArg/RdpEnEAOgAWgACuoX4DFR85jraLbden7vX001bnp2hICe1fcFak57LJbHLr6jbZ3p3GzVkMlS2g+eq+EQwpLgaxGJYFBfqz73Erqq7I7121ibEJ3Jf1p71o/drMFiQeDU/xVHqs0mXT896/SKtZucnrRVRHtQPd2YEKGHRnl6prlsoOxKyEsg67AwwWZVn4CO//Bavap+2HSRMsCz7U2NLM0dUgxMEf7S/pwQ2VGeNcpdHzndjqEBLdyUrIfc5KRcvjDOg7WgBidcWYXidB3JiV4N9i/cB3z9pusH0SO2HUjAEFmOg5rrEDkzUAUIDWH9P8koBpKBfsYErfASYQyghydGaVK9ae4VYgsBPLA8IWdwVtMPFj8sdKgctAJnHaQf3L/OmXtEq0d9psa/el1EviGUhdxLKguUAuREVIAA8uCs4zR3gVdv/jXT6d1loqKkuInNySn7XiWa+vMcCmNK3RYHVJwrfWKC9exDmsBYASjsKVUFiZomVC900Ux1TtJBNGLiIAA4e39slpTFwuKa2WzFrxaPjF/qMCYHFNaYILlsr/cNVJ39iBChj0jfu8XKwyUiLnE1qUwI9ll4lFEIjIYwywGIxY0GpH2CXpZSohXxYI6C979wMjECH5UYBfGRdBDAqUy8FjDBpdFl2NpXXLypBX34vAQwABTZ30Q8UYdKcNPnjiJhDYBA0i+NUfn/A2YMJnvZjtH7KxCUSoQI9nMuD3L9waCDwxMHJOKYZifRSFbxyH8VVaWHENEv5iBGR9MvEr5gNwQlvuH+e5lgwFLBVKqySOQvcESwIVFeFrID6AdEgOOBJ2vv9PLjQho4rFOeJDGATq6+sMsMlN1IxY+L7KbaGmcjkxvlIooysqZmjkQp5zxHdwFCyHinpwAKbnUBksCwED1V1ifTSJ3Bsi6qKjNSpgsFy8BHvJJCpg0Etu1Nthmp1VV4yZCmVWA8UXeJiVEyHxo+9juiNFlNads4Id33x+jbkOtcrNtvKXx6qHfq49aZpYDGQ+lq9aQi0SyOheILCkHcbAtrxNfMHH9DMx8SEMEYR5YKTGQRPHfC4mPpHnsJ4YxR6fEQS7ouQJDBSZkUz0kAABhjgABWjtHKL6RWPnvIIlEcAIZNIIEXxwEiCo8acjiAEuAAUJxwIMDK7PnTlhJWAdxCawZ+IccAeJO1cAEOIRIETSMxbmp3BJ7hXghDHZP7WhH+aM5QB3B64R5ny0XWRb3/+YAwMRV0UWy9xyMMisbfQKibgpWoIiQJJ7ROfZNxU30h4q+FDAIMaMxAqX0TogkBGLb8l1oTbsxaoTZ5m11UCOgEG0gmhNERiMroDB2+Ed2lNrqIBBT+10NY51p+zy0gAG680yO7Hl7AYh76Fds+uVCeKLGmEJMEDbRENT8Jgbd134Rl85t1LBbAIE8kXHHHv3lRdFiNROrgMEmwLbysCEAAVZCZ566D5v5burqp/AgfqXoFKRJILpMPELBLFezN6Y+DkQojE9j+8IFKR+BOvR3AAPWB8YH2sEwIE1UCeBrAOZ06OQ5zw+f3YSbR+LBOvgO4Q/c2QuIn7ikzWyXj45rzoPEZDRHoCkQENAA9kHuEPcPbFeum8wMW794GPe1Mta+CHTe6S4xmowyGzamEH14ENp6jGQtFHIe70LL0rlJFJqw++KpVDwKtfGPosgyCKWIlqNZBFRbAn7sfqkGQ4MAAWsKV+LgIHOM5G1KmBQvYK7vwMVMOj+XlVXLuEOxHRFuspBQFfpilgL5DaIrgRZEfSu3x0z+d/NTl3rv+oBXWjpMbUtamR6eSMI0YCVoibTdmwXswto59S37kognzymqBWCJHIpN/qpy4rtKPBOW808EKBeDtm5+6PFwIX93AYWwHib1B5egwgg0DzlCkCo0y/jSIhTEEnVFdU/loWf2EFprdQioPQybSluBPBAY/cSyrPrc8IycI/tUCc4gi9C1RWJHcB9Q+wA/naNA7ERBEj0DXjB7cHeAyuwTMiNk99XAZhY4hh3yXZTHk5bMq/FqZ2pYVFWFIvARIIPn2ldJ1lQ1E/h5nCAmO8vf0cSKaWwFtacok0M0IxgU4GscqXk46j+ARaZ9TuetsGz5tm/hwyw9iY3GVCYq2l+Nrf+TTa/yX0Lw7okHF/Cf+yq+dtuBypg8La7pcvvgpaUxyC6EmKMgQiSWHmeruj8AqSwtddTAGVO106hbSLQNux4Mr1oEXzKU/dktoUtBrSNBEfkzyt6XlpgmcDWi58eEdaRbrezcRDY4jGQxcABjVdjiuMIvCCc1H8URoUG63YLDmmwjIH2zxjwERxiV9cpe8UjcJEdlbgCRIkMYIHgCA0d1kN4B0Tzy96RxkjgI0Ke8sqkM9L/DbZvneDow3ZT0vQlKEVwhOsCqwX8Bxy4DwAggDWlK0YCIaWMRisC423e7i6T2c0rLnSPGoW8ByAwjoooKV5AsSj5f5diAJi/LDTdbRMDTBuJlAB6RcErxlR8AlaJSInMfZZlSmBC13o7X9PoWmDk8vt2qGa2PO1ABQyWp7vxNp/Lm3UlsC2dBR/mFoMygqN8WzsFBjWCIzQxNC29VJN/uYTgaGbLkFpwY1PdchDHKiM4inwI0ixjm6jV63vxGOQBizovwRD7wf2AUMbK4C4Hj3SPYEBBjAhZ5urMh7vY9PahdnDzVckM75X+HEDcbrvYuXZCAhxH2GV1giPKKuOOIF0QK0PMamAOZAhg3gc0QKPMeqivQHVHwAQgREKVcZgH52lLHQU4FThIu0STp3/cDyJt4pziFkRwxHksF/Ak4GLgEM9B7haS4JWLh3gMxtF+S9DG4NPYht+jyyMCg9zKJGEdgy35DnAmGuWck8LXNzCtAQBCLAx7kPNt5GNFl8auds/b/O1SLW9p7kAFDJbmblZ9dbkDl3RSK4FGykqQezR3M0RgwDldF4EB34+jiNKNZn/Y6z/SXCT80CYjf33xkp+fNG5y/oc96pUE6ylfWGm7Cu5qcfN0etnXyi1TMTEnnUlddriZF3OvmBO1WXMHuUm4btkI13LNzGbnMZDgknCJGRcKYktj1AoOkW2A9WNUChusFYiqkQDJPaHURgQpwhCWwpdfWsOOXPNi+6J9LwEDD3xrStTG37Rv2PSpQ+2rw0+zY+2CFNR4mn01WRrICsCSgNBSKmaq2GifShYDAACFmRgby8N9tm2qkggAIWhQwXy4GCBSerJjQ9u36fp0ngOwADhgLYAMhLG3aU77Q/wDsRLEi+AKiVUeo3DNCY0k5MVfAY0zc4iWliJXwItWSaPXPVDZZQULCkzkwj6CDQG6yKYYn1ndSz41N9YE0OG+lM3P2/h/h7JFWO/p9s3q7VTtQLd3oAIG3d6q6sIl3YGlDQwwkiozQcAiAYNfmv15301reeBuSsWHy8uVI4/6Rpvesv1Ba3nUqY7rKV8xTxzM0OjCddBQAwb4p5PwaTbDkqAXdLQ0pO/mv2HN7gFwoh1837Rp9cg4XR/BA9TLCL54xFiIyMqna8hEwFyPiRr9N+dowPePWR4hogyDx+29SYi//OJaduTIC+0k+269ih9C6Fe2l53SfqrN+OdQ++81T7ETOs61p5u87DIESpj8oTd2YOBkTFgSoDfGTaH6C1gzLrBj7Z6OHWynpjvscLssBS5KawZsJGDQvqHt03x9IiniALRAi8x6sEwQlCiSKMiOAC5yacDaiBCV7572EqQ5NbGf61+/FhgFOIjMgwIg9ftqHen5khUCYIPAVmBiBBIxRiFafZTKqbnxGcsml8UgdAYMBMQiaFEKJP1ebCc2PD/VH9UOdLUDFTCono8e24GuXAlMQsGHXWUm+MuzOCKZLd8nV0KtuiJXyZwameVyszraF1H2MMql/pvcAoAmP7NppfRddD9I+0fLl0VCmmEkPWpoU0MV+k6apeYojVAv9jzyXbESURNVfYbospAlBMGPts58YhEljROJkhDKCHNM+LgLCPBDiKvsslLl0MgvtcMT2MCVAEESQhTBz1jsIeAgAgPOE2MAGEDL5zztr7d9E2ggGJFARuaoADuPMdgr9U1cglwJMDQyDoAAq4DaiG8AYEPgIhYFYkYIaMRawvrEadFVCWXtDeMDZAoKajfjR6EvMCGLARYXVVcso8fWEyswwaenYnq5aQWx5v+Mut+aGzEGkEOpiFJeNyOyJMYS3UfalT32f14N1Pt3oAIGvf8e9poVlNVKiHTGXZEcdbdWQgIGz5idOfqYBoKjqD3lvn9sCQg1ceoLTEjgSCh05mOOWp749WlTFnwY/f0RVCAsOxtHaYqcl5DWeqSNRiIdCS1pyAJFYoLkvPgD+F3n8c/j1+dvxQPQr/YDQY5ARxgRK4DrAEFMXALClAwDlV1WyCYcDDARsj5xI6DFY2FA+CJQEeLR/eApkFvWyy7TJwdjqOyyqjHK/RA1fvaY83wCRDaa+HxK62sbsYLh6mlun2sD57h1aO6gFRJ1sEAe9xK3hyo16lN8Cb637r6IYyv9k2eENqyX3xUHkbdR1UulYrJmfnL3QnwW6UOgiGfW26ySrD5KEY2xCvH37Wp72GteFtVEl+kOVMBgmW5/3xq8LCvhLQEGj5udv/HnFnqBl/n+uQNobgTOqYhS1P67CgiTz18CVwAhanE5mEDARP9wd9qoJK+sCxJI8iHnAARBEbMS9JRFU7oLEg9IlFaK0KW0MeOhxWOOFzDgOvz7mPPpm3MqokRwIT55tH8qLCK0BAwQ5nfYjkmAqYgSwIPCSrRhzynFDP2xzO9YO3AZqIgSfbKPABO+A0RQPVE1J7SHzB+BTF+qrkjZ5k1mTEgWoKktwxKwimRXEp7sQczOUBYI1hP2Q3wODs4cFMgtwHcAA3gwOAjOVLZATKEshDwxG/0buA+YN2mcSldVDIMovTWml11+MrVlTwUoxWlRrKegA2dOu9udfetlU612iXagAgZLtH1V48XZgbcCGDB+pEXelhiDm81+v8d2pZod1+cWA16qpMUNe3BOEXiIj4IUcJHiiETGJamfC8GH0jzJZhCDndwCNJH7YeCcefUYA+IROvq7xqosiLJ8dIIP0UKjZaIsGC66HwgkRJMn+JDIfAktgQBqEIgNEUGD+R3Be1nb4Tbr2VXtmE3PtO+1nWSDZngwJjEUPxm2nx3T/n2b8Y/V7Fvrfsm+Ou1se3LYOnainWP3tW1j+7VcZyfYuSlyXjz/MCWeYV+2yR1r2aFNV6R4AgT46fZVu23qLrbH8JvtG/atJFglbJkHQY4PTt3SDhl+VaI15sBlAaDAlI7FgoA/tUGAUxaaGIMYfCiXSQz682gTd1zJFeDAwO0C9MHeKH5BYELZFvo+WgFE7iSaZ/qKdNDqW+OwPzEDRW6UWDkyFszSmMQyEGPBM6vvZJlgvDiOrEusswo+XJw3VXVtBQyqZ6DHduCtAgZaAACBmnq7XmP28AEb1E29Lss9CYwjCmz+RkhsMXmC2SO1ngQGBA4EBvKSkBTl4cfRhoMKhoh8/JGqlusIPKwlPyTQkRe7Eed9vCvDzF4bAbeCijUV7Ar5emSheMDGJX4BzM346bexP6YeFVCH8EWTZ1dICdzE/pqyBL7z3KlmT/SzY/Y+0y586iQzgEFtjjduuZvt8+KvzV4YYKePP8FOfvQ8e2mzYfZR+7n96W872wEb/dDOsRNt+AwaeZzGbS072/F2gT3/3Ib2+XW/a6d2nJLqEBxhl9q99+9qu4270X5on7Y1p0zzFfc3+/OITe2z9gN74qH32SfG/sDOt+PSKcAEmQkwLh5ul9aLFrEmrAxX2qGJspn1ksmAoV0llH3tnizK/ZaJP1bSlKBlbx6xza2jo8k6CDghxqTZGSD9Fg60uR2erjJ3zkCbP7/J3tE6NQEVxY4wTmTBLAMT8RbHZ1M8EGVCHkppAkmZS6znIVKpCIRkZWCca+zTcbjq92oHutyBChhUD0iP7cCigEFXzIedxRjEyXONLAa37jG+VMN2Gd7ewGCHnogroZ6uWMs0qKct0ihaDDRozWKgQEVp/Z0BEKwGXVkMklwMfAkaBosBWnY0E0tTLoBBLR2yFpqJxkvhJMzT6L8KjJNwxFSOKZ8DDRSNHYF4edthNuuFVe2Yjc6077afbC0z3kjWAo66xeDl4fatkSfbSTPOtidbR9t/2fcaLAYIZO0Bgvos+6K90DEqWQwQ2HAanG5fsTum7lS3GKhkMe2YR0qBnDHWDmq9pm4xAOgQAIl1g9gBURADDABAWEiIkXD3xJ0psE9BfW4x8OTW6EqIXBJyCWFtIcgxCma5gBIYqFkW4j0gdVLAQOcjEVMcp8yipHsbKaijkJeFCGCwgT2ZwI2sDMxJdSQEQKJFifNn2Ck99n9eDdT7d6ACBr3/HvaaFXRWXVFFkLoLDMqukzshBR8+YnbJZp9MgjRqhNqonOAG7YvgQ5gPEe5F/ndBchSD+4q888IvLZ6EmCMfC+9obGl2/B2j16P2J62/DgxSVcMRDSl1Erx8lhEcsQbRB8cHJIKW/MFhDCwNYj4k6yBqpsQYkEYo5sN97PoaGdHHE1Mg1MUELUbiISiW4VPAFQL4Qpunf8z+CN+YlaC5EUfAeTgJiBEABLCXZB2QqaDgwhgjQVvAAXvKeQS1yjuTRijwwHWeSOk5o/nzwX1gfECTAkm5OgYf5qWv6ae87LJX7uT+RCGvfY/pirHypFgd5UqI6ZVQIuMqEcERexkLaSn7gjHis/gJu67XvCeqiS77HaiAwbK/B31mBl2VXWYTlhowmGB2/pjP1dPNFuWP5wWdgIE92cB2J+06MtFFoS2NLQcgjRYDafL+6VqkB+dF/3ZZmwIYDEnpfspEUEBkAzNjRrIQ0+LKBEyuNTM+QAJtnXlBELSfXZe0axcyTSlT4Bo7sA4cENhYHmKtBCiIFVxJO4QsRMj0TfAh+4wwI/Uw1+4lzJTpQN8KaGTf4RagXgK/q1Km9kjavoCSABjtiUkQcECjVsEm2kq7L/pxYMAPwlr1LCKYkFYe/3Hx/a9lf09fqYZGzDCIGS5qx94qbqEojuUZBrSNlgm1ISsBVwrtaOPZD0WbGBCpZ4q2H7Fb+sx7plroku9ABQyWfA+rHrq5A0sKDDRMGc8B57AaJIvBBLNzxhxZJ6CJQXtcl1Mi8yKOWQm531kCPdfkFdwVA9sUB0CbMkARsxKiFikQUpbiyMtfzIfRyoCw4SizTHQFDBCiqhzpwtFzFBDeT9oGSdiQlYBFIEb+k3aIj18WhRwYEKfAPsasC4Q7wIBIfYiUAAasgfgGtHLcGDL7xxRHshIEDOiTvcT6QCyBBGr057MO3Cby7SMyBfjQsFlftCjI2pC7BWjvNSCdxwDrSF7muuwe0AIXB/cCEAe48kBCr85ZZuJXyijrUAlvlZfms8x1hGWC9E3un54LASVZskS6JEDM3uxdqzfRzX/V6rI+vgMVMOjjD0BPLn9JgIEEP59ldMn6jiJKnQEDFTnqzJUgHoMyEqC8IiPziJYItYkaaB7LIFBSFvgmVkZpf/G+cE7AoCy4rLO5ySUSLQayMjA3CIDKgAHtiPoXMJCFYnGAgTga0LxxQZQBA5gXAQa4FxCS8tnDYkhFRoSzwAZCD98/3zF34hgQ7mrDvYjlsl2XnpmyTbZseziRVb3StFoCCLSTpq56Aw7oPA0RlwpcBqybT/afPVabKLABDYwNkRJBgQIG0uRJQlT6aOSgoA394Roo4z5QhoGei0i9jBVE6YriPojpimoTCY72tNt78l+9GquX70AFDHr5DexN0y8jOJLAV/2DrqwBroUXdRUiWNA+JIvB42bf3/gzDaZYaXkCBeKTl3825zFAQMhFII08txhIy++Mx6BM++8siE1uibI24jGI5vKogZYVXlIbBbpFAUo/Coxj32RyjjwG0ZWgdQIM5EqAxwDwgKC+3vZJ2j/AKroSaAcwIAgy8hi4K2HRFoPIY8A8iUngO7RwBCp7GWtfAigANQhNRLtiRzZpfzwRG8kdE337OdDiPhAciTuDPY4ER0pxLEs9dB4DgIETHPG8Fdq/3ALOX6D2BEeqqmRhMXBSpNyVoHlimVCMQbQYKAaicT0+XmUx6E1vyeVjrhUwWD7uQ5+YRcxKyBccCyN1hxKZaxRwGMsux+qKUQuM5t+cErnuSmh/Mk0LIaIXeNTkBQzEFxDzxCXYRYlMP1yvIDetNxdK0thlcShrg4BSKWgJeL6TtpoDAwknhKhy8KVdx0h2B1qYu726IkIe7R4hRcEjgg8j8yHn4BJAIFETgWsY4yd2UAo+xPeNe0E59syVYEGCD5U2SXAi1gPqGtCGCHsVPNJ+4i7gPH0D2FR2mUJNZFtgLcDSoFgNxV4wFuMACkQCpDoRzEWljVWW2feyKHatAFJcCYyNVu9tmhtSXPM29AMwgPmRQ89A7uKRhUlWiuhK4P7m2QpxHAFBgiq97PLsOmMlY8YiWo0EXe5uqoIP+8QrdqktsgIGS20rq44WtQPdKbtMH4sDDEprJfzZ7Efj/rOBsjaWqFWGgQS8UyI/YBu2TUhLwOzMMbvJPfES8rpeAMEFmee5R+pasdGVuQVyat0ERFL2xOAkpMraMA5mcg4Jl5wSWXOSJSQvuxyFaLR0cL1z7nmtBNIBEdwft2sTMIhCnlgBshJYH2mHWA1oA1hQ8aIIDJgjmQVef2G47WR3pqwF2t9ke6V4hpyMiD2gT8CEaiXsYTentcOzQBv0eQQ+cy6YI1dMc2DdCGlcEKxLqZgxDiTyWJQBAwUfKkBUwCA+3wJoAnRo8ipUJcCm6+X75+/Yp7IrmE9eQtmv9Wcrzh1gAFkVYE7PgD+f8xPEiXEFsc9P2rWL+veszlc7UN+BChhUD0OP7UAEBho0cgYtqoiSSixH64IqLOo7YgzG1dIVy176jJub63lBU3aZ6HUX8l40RzUECp2ykStAYCDGGqjwDi9zD3JsbBMDSNKVPgAAIABJREFUEvXil/YvAJLHQDAfFVFS6pq7OcrBhILZROtbFgsRhZLmiAkcrZyxqIOwl93UkGpHxgIZCGjEZCyg6SsrQYGEBBeybs1N7gn6VFYC+wrIIJiQVELaKC9fJZSZB0IefzpWAw6lKwIIEMSR6c+DJ92VQIAePn+uwyKBid8BWAHk8oeeZ0V7XACDIu4gCmrtl6wQfMbqipFYKGYGKFhS4zB/lYYW0NA4YkZUG1kzoHsmyBGgp+dPa6GPODe14fwBdkOP/Z9XA/X+HaiAQe+/h71mBbHssiYt64AKKAkolAUY5sCgrOzyjgCDZ8zOGe1ZCQIHMfe8zGLwXnu8rvHpZR7dD3lsggMID1aLWlqZFieBX/YCl8BSX0px43tZKBR8GIVTzDqIrgRZDCKPAQIfE3tsg9aN6Zu2WieWAgQ8a8AtgMCO2iwCk5RFzr/fbrNt7b6UyYCVAYCAQJafXdoqn5jmGZtzmMG5F9RkADQgGBHijKN7RBtF9nNuPXs6bR3BiqxFe6Ro/7w2hXgM+GQdWA1ifIjumfZYYyt4UcAg/mO5W8pdTAoqFTAACJBGKIIj3e+cIClmDcjFo6yFKNDlNlCKZAysBOxgEcmLZsXnR33FUuNVumKveU0uFxOtgMFycRv6xiTKLAasXGAg8hh0BxjQFrAQAxK7CwyiW4CXLKl0CEoBCQnsssJLRYxBLLu8cGGdPGgxvvxzoVPEMrjYivOL6Yq+Xw54FC+wcIyBF1ESwZEq90WTdNRwc2CAoCUlDk2dkWQaRzDDZFgGDBCm7mf3yHxF7iNsPdahOQloXAf0DzAATMBeCGBQLIMsLuIRwGwOmOCYZKNSUCBzKuiJi3ug/S0DBnG/ff8KemwHGLLKuCuDn6jtx3gVZYFEFxCMhBRu0n3TfZLAVoos9439FJ+CMkMEUgTeBC60JsUgAKQqYNA33pfLcpUVMFiWu9/Hxu5O8GFXWQmxBIGuE1WywEVyJdSyEqIglJaYuwW4BdGVIM0wRvMXL2kfRebdKJwLtkQfIW+TAxHOd9UmChiAAWZypR3G6n5RgMhaoL4BBgjxaNXQ3JQdobXQJpr98evvazc0RP5j3v+F7Z9M7jErwasrrpuEvvMYOI8/+0MgIamHciVwnt+hLyb4ELrmneyOZDnQPEkRxNXgPAaP/n/23gbMrro8977DnskMmYSJk08DgSQSCQgYAQUBCyKntn5Vqq0H6uc59vXzrZ+trx+nvva09tVjaz/UV656ahWlL0dPsVC5/ECUKh6xUUFQwCABEsYkkDFDMmF2ZnbyXr/nWffe/9kMNp5ESDJrXddce2bv9V/rv/5rz3ru53nu537ic45GVQK8A4fg3YGQuee9PjLWqAQGgAoiDqWgVLlOOTa/WQZagAJAkKM/ZZmrz+VXp3aoLnDEoDvS5H/zMnXEexa78v0qdSk6Y3JuTjWU5MPpUlBlSqLWMZhhD9gDeLk1MDiAi1kf6hevwP7oGPyiXglld0VLIv/d2peGV+Z8rh+u06UEyG+H8mHzx9HpcEcjhXJKj9Gs7zIkXZaGcR6zwb0KJZ/A40pjYMZ7aWymmx+lfi6fK8PDPk+OmdrhCdBB2V2ZdzaIKM9XHgMjTuUB84J8+DJdNkXemBLDS/XaSEuUVQn0MMBos4aUME6VRH6CrtYLIgWAXoGrEr6gi0JlERnli3RlSBh7wzB/Xi+KtAZj4Dqw0dgogUEzyvxcXWKj3i2JzDwABkQxMO6kSrrljR0JyLWZDJDAOVBZZF+OyX21WFGeK6ND5UYExv0ePA8rLJYRlHJM2cq5bNXsiISJleX94hzdyod87hLHMuVRnqsWOKqfzr/MCtTA4JdZrXrf/VqBR9Ix8EH3VRLZfATGlaCAvyNi8BPpg6vfOKVXQmkUu0sIyfMSOrckso186eU/kvG19+5SuPI80xn5kvjIGKvqedx058HQkKd36NrpDYMNXruvqeQTTC2hTADR3WHQeX0MfCofXqUX6gttI885btTTdJle/jDlwyt1URjTMmLguZWVDqXyoSMGkAMhOmZHwZwbEQM+Z2y3JDKflWtc/t5N9GNNiFBALE1yYZYEljyObgPPfkQ/IEaa9Mm6d8sOd48j4mFgwPqVOgY27N1jch4pOW3p5TJNUnr8PgY8DvgwfGe5rymkxHGaD6tKKP9ZT6vSMfv1D1wPnjErUAODGXOrH/sLna67omdVGvvpZgoAMPkQANGdSmAMx/gNSadtk9469P4pZYAmjE1nRCn9eop+ECFnDEfJGi95AmW0IB/madh5gOPVW1XPRrpberm8LrPgDQy8b8kXsCHB206J3tQzcJrDxqCsfvA5rA7I3xhtjCyb94Us57p7tAE4PsaMc3FeNzxyeaVD+ZQRct2E9zG4XDdRBqINFvkpx3A8wAbHzs/vjN95j9SFSw9LEh7HR+UQQJRlgB2SpLkABkq+PxY9SkXA+XE9zPkSfVbnrv9+LgtdM01IyR5KD996pHuWLwq9BPMdXCFQRii6B1qTgPdNOpyu9NQG3oDG3ymnQfz9LL9r/h4wDyIlTxi9R71j0t5+adfAEWpM7lFjks6cD7+cqmu0egf3PvYPgHoGh8wK1MDgkLlVh/5EfxXAwGChBAanbpfeOviBhxl5g4PSu2IcXjxGDhKcmeYOwdtgl56+H9TpGWZe2xEDHuhu8DOdiqENg8+DkeyEnDMlUPIL2B9+wUYdW3iwGdqeDkz4+Bgqh+fxgNET8LUyRwwuZEA2Kwq6VJBZkBYAHJgZb2BAOgFPlc8IaWOEISSS6oB8RxVBOYbPMfJcJ+cEHGA4eQ/QwBwx/EkhTK+XtWS+gA4ADGM6vI5GpAQAOszD3jIREPZDTZCKBsAQn5HyOOvWm/OfB62ffQAG96+ZG2ti3sJ0+hI23P4ulMDgF4lV+b+4LEfkve6qme7vgLkMRCaOG75fGkugAziY5Zbg0wCD9lNjeQ0MDv0n6KN3BTUwePTWesafqZt82E00/EWpBACAeQYo/HvsdMDg9C3S2xf/1ykenw1PaRx9QzBIpBLwZku1u9LzLUvUPA4D5uhCd/7aKYGyO6HH8Zk9Xxs354inSyVg6KxiCMs/w9QdZn4JEGxAyvw1Y/Gg2eyZY5AxpGwYUfgIRCNcWvhr+maUJOa6ocdA2+NTBDeA88MVABwAWmh4xDmor7cqn8cQ+v+B1oaEErl+wAjjb9LamJMlflPrP3UfABOcC+DAMV1u6PV2ZMO5fwMRrskRA66HewZJ8qzbK2BAxABqAAZ0vPh35G/eBzR0RQy6ywBLKe0y1J9A7IE4qEml0xFdDdzK757HdKcsygdGST48fmSTZhExGEClU+1oQQAENr/2SHsrxu6soRoYzPgH8C+xADUw+CUWq951/1ZgOuXDEhz8e8CgTCV43xIYMDs4BqffJ/2XZe/sihhkdfh0eX+8TacS8A7dsKj0fKcz2DZU3REDk++mC/F7BXnQl8S26SIT3peQOwYbg+gohaWMHWH4RWFuvHkqFMo8OZ4nJXZsGGiXNDq3joIhREK3L+b6v6fTQ/4YAEH3RYADhv8aPSc8fASiEDHyuvGahMZz4viABngIpE9u0NnB/AeMEa1BpdDgC0BAFALjzudEJjg/12EA1kn3dO6rwQVRHIAI54fYeNaGaSIG9q5LzmYVUVi/+JhQUSybJf17/TIQHnKE5pEiBo56GFCUqYayl8d0TbHMZQF8nDC2Xv1j0kQfKp1HxD2cPb4nXst0AmkEfz7Q94vCCfv3f12PPvxWoAYGh989PWivaLqIgcmDAIR/j3w4HcegO2Jg8uGfr37zlLTAI4XdWazuckUbnZKk1p0W6KQCpqYSDAYeyZCUuWOMpUvhbNin68iIobQWQJmyMFjp1jHgmkycMwnRZDh7sZzPAMbHxBDjyfM3fRDwtktgQAnhpXpNGOeX6zI9X1fFvK7Qf2z3SjhfXw+v3edxrwSAidMTHB8wgfE9SbdFLwRSAB4DUIHLYPIhUspcK/sDkMIQVqS90ojaeJbRGuZDd0W2XQP9bdnpnlZLjcmOsaQaZbLByJ44z3QcA4PKEtw5lQDQghjIRsTgkbx/e/7dvAWXRj4Sx8BgAjAHFwYg1S3z3a2hkOfKkMHqKjp00D4c6okdVCtQA4OD6nYc3pOZjmNQAoNfREB8pHLF7qqEKFf8hvS5857XVvorH+SdiEHHKLgL39HrR3LX/iq0XN4Odp9aEai9g9KOwd4wKKUKoodNxzEIL7G5O8oim42Hl71NF5kwma5sn8w5/NCfDkxYpRDjAcGPXH0JSkgB2MjCDYDURt7/8uYlGt20RG98wn/T+/RezRkbj1A12xWDL9If6oPaumWJ3rfkvXpL88O6o+8EvVfvCw+fSgZ6KFjmlzGkEf5WfxBGHqDxMn06ZvM3+gN9s/kMXdh3rd6sD7cZ/Ywhv/9hvUU3tZ6iFzc+r9fo0jg/XRy/qzODywDIKM9DhIA5ACpIPxC5cOtlyKUGct0E0VIdMxkejQAFrEV3VULZXdEpGwtimT/BGjuqU/ImSu0Jjy1LIDuNl7LCxNEFaxsYULgqAWGksiqhHNN9TazdW/Wxw/vhUl/dAV2BGhgc0OWsD/aLVsCSyGWvA/Y3H6ysNug+zr4Cg3Mknf9l6Uu/ft4USWQ/9DnudL0SzmzdqKPWVYmNbEjXzjnH7yZ4lRMbVIADQratHn6OCIMPUIjhhVcKc5wNI9tbMeLJ/5Zj8/OHM8wfGJobYfTuuvbpQtKeHobtWj0rQur4v4TkvbEW92p5GEAMkBsNkdf/6LY3aOLuo/TG0z+ovxl5h2aNVuvQkP5x2W/p/xj7O+3ctEjvP+EteufwX+n2ZcfpTfpr/evoM/SSwSv0h/pQhNTtSVOx8Gd6t+5urtCr+z6h1+ujAQwAE1+579n6raOvDABivgOGlnm8R3+qddvO0MsXfFrv0p/F1D+h39fX9KzgKpDmAOywcS4iEkQZEE0iXZFRiO2RfnFtf6aIslGVjbx7Ovg47MvaAU5+ETAoDTZjAQYAkgQGc9vEyFKhsYwW+HtYRm3MHekGBh7HGIABZZ+AHqeyHNnie11qa/iaeP2w3lk/nOoV2OcVqIHBPi9VveP+rsCD/bPiEEf2S70QwSalTVulyk+PVAKmmb/zkd9JLxwt6cSKgMhnEBABFENVGaOjDacOSr1flK4/52lTWOUYgO76f3uUhKUxMvwdIfbmrjDQhJ67iWRzWrt01JaJILA9uKxXWxquq08z3d3cyGF+jFRfqxkdG3mgs3UL2diYOmqwsLVNs8cnNDywNIy4y9WYJ0YE7oHJiz4enr87JSIIxHVTKYDhxWi4BwFz4Hc2GhkRVcDbdndFUgWvGP4f0OU1tuwI7eibF2mG/08viXPSefEFI1/RhqGl+pjeEMYcY/2q1ic1b3RCW4YG4zqJFKBJkG2X/zU6LPI7aomMwfMnkjC/uV0P9AEpFrbVEpkPZZEv1JUxTxQUGVO2XeZYvib3UgA4cNy8n1npwGbZ6bL8r/xOY1j5DL6ElQ/t3TtaU+6fBjmJmf4upTHuKCmWfANHbJIL0WzLWjOmBBplO28+K7khbiDlrpdu+FVGMDzHssLld3T1/v771uNn0ArUwGAG3ezH/FJfm8AgNGpIFcMMv1HSXRVTHOs+Lm1bL93WSlDwYOWsP03SSvIEePMbpImtFbhYWdWn44VTwvV4Se+Xbj55dRgwNw+i9M2kwnx4NyIk7aY/GDBy+eTUMaIYCfYn5O6NBz6eYTDvW7t0Z+P4MHxuXYynhzH0OT2OM5MXxktlf1T1MFYYOB701ico+zTwPmMWNrfpx30nhVYAc4aIR3kfxtB8AEdDOD6CQMzfokgYDIw+50p9gGxNXJIWIbSlJHHq+DMGr/u42++P9b5r5dIADWWJJABkwdiItg0MtUP4GOOn3nprAL6Rtf1xreUY5jevuUPNvtmRxoCrwNxWjG4K0twPhpA7Oim4D3jG7M96L91I2EIaW5wAxW2oWTdKMfHwMbrwFBjj/guhbTB2v/q3VnfCqaABaXww3+trVuV+fH/yNJpYLg0PLorfOR5r5XQOa2TDzmdLWlsCvAEiDfi4d6SLtvfND5BhmWbejzk1t2pgdI8eXNCr4cayuK/mcgAkWGvug3kgvHJNjC+BR9zDVitSUlP5KpmKYH9SQWz9A3VVwmP+/DuEJlADg0PoZh3yU33zrHTzF0uht8PD+DuS1hclZC1pAmAwOhUYnNMnHfWsCgRsCCq9dJSkVdV7gAJ+ABzvkn508qq2YA+GDmNYkgoTnyDyky15s2RvcdsY8TAmJAygYHOZGoYMYIDHh1fpevmICKgZ5zQAMZ+Bzwjlz2vt0I8bJ4XXy2cYP0hkZUdG32Me6oT48aRv6TtF/6pnxEeEkQEMXA/H4VzlGAw6xtQlfSa5sQ/XDyjhmhxO59VRBq7ZXjbXuXTraDDfbxk8MVIZxFxMEiTH7dJApIuZB/N68kZupnTX8qWhvdBp79zJfPN5mWdnLdxxEWDQvvZg+j+g5aObAzhYrGfb4GB1HfPjHgB2ACAAIus34PNz7mWt4XaEp80RGZDGBpPNT2QowAH2s0Khe5cpIh5sUbJaGXkMdmnEDTwYj9DQrr45MWbe2M445s+H+tuRB/YNwKDdWjYyEimaiSFp4+DSAGRlRYUrUHivLC8FjMbaFakq/53AIFUdkymRwGDeaAKDWuDokH96PqoXUAODR3W5Z/jJLqkiBhhvPHsivPeGBm56a7xWD+gJyrEqD6+3R+oFSJxSkQLJNbA/6QhABmRBj+fYb5XuOmNpGEDK5Uzs4jEbD2YNV4kFzGc+bGHkEzEot7LsjjEYeB64pBoCTPSloqBTETzEkweeoWuMOp5hABaubVL60TmrIhzPBqwgeF4KHGF43Qdg4cjOMFg3L1sd+XMe/EQEiHIwc/dPwHgyJr3m7e35wXcgdQFpj34FVvJL4/ZQZaiaspGn3BClwKGN41q//JiISLhE0iHrEuwwV9bT3j3AivVgnvwOdGAtUu64k2Fnrs9ufVlH/WBCt59xnD6q18c40iUbRldo/uD20JXgutx2magLfRUW3b5TP1qzKjgKlm9+YHSB5sx9SCc07oj1dMSAewtA6PAXbDI7CgPcB2Zm75x5lk2QyrSD00r+jnDtTj85leAzsE+pollWkLDejM10zoI2SHIKouQUBHipvk8GKo5iOMJU8mfKqJN1OBj3VN0ywx8+9eX/MitQA4NfZrXqffdvBZ5bAQOM+bHVoeidg+HkFWfTUrVupWi1OsgEjOF99gdAAAiIGvCK4YV8QJriTdJ9Zw5FGgCP0mVdvOKh4/FjPFzOZU2BZJN3ZIExMunV79BJo+vV+7NMZUA4RFhm48AxEfbFsIe32tqhI3dOqBfPk/mhH8R1cU383SOtf+UxwbjnnMzDxw+DXqn3LRreOUWE5/bVx4l+BBhnIgIYuzQ8s+OVcx89PJJjmF9P5QGzToMp9vQXd7wn5zB3r9Qzqf75O7RwMBsRRchZu6Jh0QeG/2/pJunm56zWJ/TqAFUGSKkYMDsMVbIBHhDNg+AOLBu9X98YPDe4A2bll0S/0jAy/3eP/IVmXSXd/MrV+g19SZu/t0q6PUI30lK0rce19GjUGX+iU/RDLdPPArQcd8P9+tY5p+mCbV/XxJeO6pBCCZycNa5FR2cFBukW7jWRGq+XiYaO/rg7plsglyWt/qK7mqA00N2Sxxhg5gdXA8jR3ePA4GMqhwQAknoLJpWWzZq6iYTmKgA+AUnMtbtcMc/TE+97M0itOQb79+iaaaNrYDDT7vhjeb2/Ow0wICWAt29ggDFrSXsrZbpZLh0EFKytgAEggP2JGKyuXnmPYxEx+GPpq4vPnaJ86NIue5EudbO3Rfi25BOwTJFHjy5+zfBciQC4zBDjgMfqnDjGGU8Q444njSGEHzCwLasRAhz0SF9dfq6uqCIGhN4J2Tvc7sgDYKGsaFjXd0bU/XNOzoihS6Z9lk9gCOFLdIxSox25wNh8Uq9qn9Ph7FKC12FsOAJv14e0dMOovrPyyfqinlOEuZtTOBvmR7BGCBRxHaQ24EKYXW/wUqZwWBeiL0gVH71uRN8548n6v/T/REpm29gC7XxgvnrnPqQVCzYEYMHgYty5D1QarB29NQAIVQs/Hjup/W2e3b9b8xuAq10RNcmo0K6Irni9PA/24V6ZU+F1dI+LjCN1qhkc6s+IEXyDx7WNr2MPAE3WwGWGTjn4PUL9Pn8HdMyONfW9dCkl99OG358zH+6Z18RpK3f0dKVNd7TBKZuL9YXH8j+/PvchtgI1MDjEbtghPd03FhwDSIMYS6IENvS3ZTRg27B0XyUzQICAUsXVJ0v67Yp8eJMk9gUs/HoFBgAFeOjLpevf9LQwhM7t85D1g9kMcksV25vDwEMUS8b7T9pENksVT5UspvpgdoT36R3AseAqmPxmAzKdKBIRhkw/ZJQB7y/zz6n8x+8ZKs4F4EGPwUVcCAMG7wCjZy+Tzzth7Fa7TLD0Wm0sOLbTFFxvGvH0LjFwGFCML8DEbP8AOHogUg/AJNf3OzXAuji3bwPHGpvwyPXSlTEJjwnDuD6iAOxDyoEUAldtgMLaskYY0nJtOA8AwZ0gMwWQcQzGQ0S0wqNJj3jx2Z+hL+bP3vxt7x4waNKgPW53V+T4zIW1ZAygjONyTW5pbcPc3fyKsawnURi+F6x3iiZl1MXRA4MSRyHMrzB/g+vJzxjTMyVNkgAm75+/M6WaYpliqIHBIf3kfNQnXwODR33JZ/AJ31FwDDDqcAgw8Bh1eAMGBvdKdxYKroCD09dIelkFDKhkABwALgAL8A84BqTEldI/vfo3dbkuCS+aFrV4hxgmjB3GyTl97gQPUowGQjyQ6PDWYP7jAbpPgPezAcVYMQYvHnAA8AhyYdAVk5RnT7K82zyonbO355wphCSmBX+h6hlQjsOoAAwYDwABGPhY9kxdl+9xaaQz1cD+GGHMiyMU63RGzN1Gkf3Zj6iBpX2de2ctOD6cBndKNHBhLUknpI+dRaG8x9o/rrVdGxtZrogB7qguVqkX7Wi3xmaeBjjMifNgyEtZaq+V0x8GGVwXIXnKM+GU2MDzOZEe5mLeA69l/wWuyWtgMJWRoBMrtkhqUgAM4HdwDRu0Ms7jVIQBXPd/NvfKegqAOzgbBgbTATfWm2vk7KwFoMA8Et9PgB3gkHXuqCVOtrU5Sl5BGVV6qT4/gx889aX/sitQA4NfdsXq/f/3V+Azs7JZjcsVDQyIGPBD9IC0wm3SJkoSqzMRMTjmDEnPr9IG5KIpcYQryPvwDwAWHGOldN0bnh7AgIe5dfjdC4BDlu2KeQDzgEW73zXyfjBbK58xVjZkf4ftXe/O593qg/YI83y744HPPkkTTJKj+QWlt2lgwL4YaP6mfwFGhWNihPFASx3/DnkxKwwALhg7su0OP2PYuW7np/HUXatvsh3GBnDA8RyCLm92d0tqn9fX1jHYGbngh3mQJnBEIEv2Op0QCcsnYXF2ADdKGA3AeGUNmFO7/E672hoO1owwKdCtr12ZADCwCJCPaYImAJBrBAyyFoBAzsUYPHvWnN8dDSGiwxiuCVDFd4V7w3eBtS15B9nlkV4Unc6RqDISoWFz9KlTjpgcBSIz5RoCPrhHBmiOBng883WViO8Xa+DW2QZVnPP3ddn//v9tPXLGrUANDGbcLX8ML/jWDsdgZHF/5NGPWj+R3j7EQYABxL0fSLpVmqiIiFQnzIFfQNoAXgEkQPaHfwCRkVS7yxVXSv/2tpODBMcDmg6AbsXr0j7r7LsCAOP5NV0YD3xzEHi1ES87IVrHIOWS0kvGC8Szc27a5YoO5ZoEh8EiDF2WOLoqosxzO3we5YraHmMIbzMPG/hSc8DAAsNPTh0PH1CQ7Y4z1GwiIHOxgWF/NgsElWDDht2lnhwn+ROZZzdXgWN4TmbpMxZjT7jd6QPOY86G15h5sh8eOmt2k54Sc+bYkCwxlHj3/O7zcG74INwrDKBTM0mIpNZ/Z1trgvcwxoAq7jn3rlMhMRl30JEijCxRH9YeY8y82JfvD9+jEugQKfruT39Nc5c+oLMHvh3ggIiFUx9UVEB+NPGPNaQDJWkn3gPcsbcbWRFlIlLDdRpMcS8oLbWwFYCOMXzHzIUhGgaI5TrNXwDQ0OyK7xPrwTi2WhL5MXzuHYKnroHBIXjTDtkpPxIwwMjj8VO6SMSAVMG6DjDgentLYODUA4AAYABYABgAKpZL//amk4PFv1Ib4sHOg5cHvXsDeP3sjfIwxoD8UKeEYVmue8PY4Una68YTQ3QGI2BJWhtwvEUe1hZUwiDag+wOD9uQpTecIfpyXxvSzDXDdQAYPD6MJ8YdI4XB5MFvURuOxTiMH2CCSATzxrCUao9Oo7C/uQw2RI4amHTnY/K5WzKzNi5RdGTDKQWDBQslWReijIaYsMhYl39ybHQIMKysP4aQawcQsH/Zyjk85NGdunvwmFBoZKzX05UhJh4ilcRGbwVSDE5vlCkX1h3Pn2P4XMyN74qBASWSfB8cLWF9SOusGz09qjow6HxLrKzJPaBTp0sknTKAZ8FcnELqEFUzlURvB8ioPg8gkDk4YuA0CgDAegrca+Su2fhu8p1gDNfEfXMbaj5/jz50yD426ok/+itQA4NHf81n7hnXVRGDBdL44qpvgEv64BRQiYAT+0/SxNWpYzAHow/JAPIhEQOiBFQkAAIoVaQqAS0a6ygvk26+eHVEADDieG88eBEIwvhn+DmZ4Pb+7XHx0MUo8VC3gSBdgHHF8GO8+OxpurEiDWY+vawzx+PFYyvr/zEcbvpjL9ekPgwEx+VhbwVE5oEBc8SAY2JY8MhpQnShvhagwJ62jRLG3gJH1nDgejEqabCTd8B73bloGzAMTIILTOUxAAAgAElEQVSW1AMAjGBsOIJD9Gbvsx9ztlYE1wmpj40xgBM2Ryb8xe+oCGTJnlMA1pIwf8LzMIggX79o3U7df8bcKKU0+ADwpdf93bin1j9gjVk7oi0JnFIeuWwy5NJKKybyuSNF5mRw3ewHULTh9neFyIC9coMpA6BSN4IUiYWliJw4UtQ9xrwAr4Hvh8meJoDy/TIng2N0SnJTYIvNYILfL6WGt97qFdjHFaiBwT4uVL3bAViBGyuOwaA0sTh7x8/C+8fQY/z5ARx8Rtr1j3m+AAZEBogYIIk8t9qfCAHcAkSPeIVfAMhYLN180erQ1cdIQBjDoF6l5+saPbedy8agETrGkJathbMcLEvd8NYwKjyEMQoYcDzYTE+kp+fad4fTCYfTvAjDwf6M5Xiw0zFYhO05VhlSdltlnweDyjzwIDE6eNKEojnff9Gf6OLhf9bIsv7wQDFiVmjkc4iTeLjmGJiX4Jx6qZBXGnjWuqx0CG2ErSOhiUA/BIxaAoMH2t0hUeDjPHj5HDeY+6301CEddqcSyu6QZTdKi/LYSPOKsefVoIb5059h6XWjevC8Xn248ZYw+o7qsB8tlkmlOGpggALoKrdupUlHUpxmKLkOTpm4GyXfm7zvmUIxiCyBh429pZtLlcdSXXI6zYGyUZaPU86dlBUREO55mapwq2fv6wiOIySX6z8dgH/g+hAzZQVqYDBT7vTBcJ2QD9moJsDTZyN9gPe/s/L6MfjX588UjgEdlE6vgAHphhIYEDmwjsEq6brXPD3KFXlou5kOnj9eLJtLFe0BYzzxvvFA8ZSd3+YhjgFwqRuGis/xijkGoXrAQ3evBIwID30MfulZ8pDOzn0nxnjO45Az82IejAU8lBUEENcANmy0NX6uronfARL5mowH59ExjA4pY5zIQ5OWCPJha7sak61oWITxLcvnSqNEOoIKhjLKUPIFbJS4Pq7JwIAoB/NwmR/r4Px3yVvw15G1LXtY8H5GTubFMbgWh8QpcVy1dbPWLz5GV+v5MUNvGGtLTJPugMzHxn0F3LGVht/lhrxnkl7yJ7Ic0T0wspw0KzLc98Ceuss/eTXHgPOUfQ9cVVCSSn3OBG/ZNdPA0uvBfSvbNjtiwBiTNZ3KIqrAnHc05+nIPpe7urET/1jSN/QbB8MToJ7DIbICNTA4RG7UYTFN6xhQSYD3b2BAxIDn+LoqGmAj35S2DGdAYcWANAdwQFWDlQQh9/MeqQR4CoxbK33qA7+rP9EfR0TAnvpJuq3dryAIjxx0sTR27BHa0rc4OgSasEjIGoONot+q6zenoiBchqrxDnOYGJD+YfCl+qx+Ly7DjHIMI2AEY8PD2gxxK+hBQLvuvgvVP3eXLhr8Qjv0T2QD48D+DgU7RQHZ7RNjr1ZzvE9nL/h2aAAwPzoV4sGXmz1xvEqMJ4aE68Gbjv4HN44G2XPvedIXhy6ISICLLBOcpOQkxsvGDG/dxo8IRbLkE1JMBwycjsGgc2x6Jjgk7t4NLmu0OqW5GCY3ui7fBFHmZM0Bp3a4VkL5lCRiSN1dkWOYMEgKCWDlhkyu8kjORuoTOPpjYECO3v0sTFjkXv64dZJ2j8/WgoFMs3D9HgP4uO2+k6Khw9AxWzWvsUPbm/M1evvSBL0Lpd6FD6rRM6l5g6lZMbxlmfaso6NTpfZIs0u4grdWr2QEeI/0GZEyfrz1SP3HjGjJ4FbtaM3TyLeO7qhGHsO+E5q7cLvmDyT5cGMbiR8WT5L6In7FK1ADg1/xAteHL1bgZZXAEcCAhkgYecL/RACIHEA6tAoinIExadNw0gdW0EQJ7QPSCgYGGGoDAwx9BQw+85EX6U/0X8JgEPZ3FACDSlOZXsodK2AwsVraOjikv9EfRJQBQ/AsXRuv5PJXX7cp9RZIV3A+7CbP8gHpkwOv0OUVMLARxaTAPwcY4A06emAP+Ot6pq7/6bN1xNxdev6Sq8IEHRtlld8LY1yWVRoYoDeAeuFDY0dq7cBNkc4gakHkAC+5VL1jPCYbw0aPBIwoawBYgXPx5PXrY81HLujXF3RRuxsk83OYG6NlIGO5X+fZXb9v4IB/Gt6q5oaRtE4CcwRQ2MN11YUrIlyqiTF3TwZ3ELTBZU0tS823iBQLJtmy1U4HmbSHsSe1QA4fgw8IId1CKqbTI2NXlCgaGCQnIXP+0wEDzzOqPFontIGBSzQNcIgmrL/vhPiyDy3d1gEGdy5Nwz9/r3rn71Bff1NHDiQ3ZdN9y6Xv9HeAAUAAEMH3E3tuYMB3DlAAQDBI6J8IALKkkWu86XurExgAJFZMhHrk/AVZycD2Uz2pfhTVK7DPK1ADg31eqnrH/V6BZ1epBNIIGHSMvIWMMNTw1kgRuHxxTHpwq/RQU5pHxKDy2HeNSjvGpMVD0iwDA8YBKlZLm//HoD6tl4WXaHlZh7HxfAkz+4HJNRGyxsPG6yvD6UQcYLcTNsfgWurXufkklKXULcYGo2UWvcPp1r/HyDtlgaHCMy+bEJEbxwi77t5zZ76E/AnXW/2O43BdgAkiFTaeeNBuH8287tXyAAZOeWD8SCswa6AF1+yKiN3N2Tq9b53+UB+Ka/i0Xq5P6pXa3erTgka2/GVu7jbpHgQYc6o0mAPcisuaL9eunXM0Z+6uCGs7CuEujuyH0X6NPq4zR7+vywYv1mu3fVwTt1Z9DxgwXxpae19IHBOBgTeRlQobAnis0+m6VK/Vxm3LtWBBShGzJnGPWnPCWLrNdUnQczg+VR1TS6IUULI+QClf3C1E1P0/wHnZuCYEjbhOcybKKhD2MdfAugukjJwWMBDzGH9fyjHcf3f37JRdpgqnq2LK6yl1DN6rD+z3v299gJmzAjUwmDn3+rG/0qcWvRLggwEMMPYQDIkCuOEQ0QN+mtJe2i9XegZ0WWTbNJpRBDLMx6CIyDOeffC2iCr8mfSjM1a12ec8ODGs/NhA2UOESR997atKdR7UlKMRMneteTLEjwyugcfx0CUCQe4eI0NfAcCBNfPLuvsy5IzHTWgdDxtv2Wx/e/6OLOCJMmOHrK22aC4Exp3PHbbHKLl/Ax68z8+8/1Z/oNv++2kZ7VhReZ9kIDZV6pPVui79z3fp67pAa9bfo7esfr/+6lPv7HiueKysL54s+18orT7h5rj+N+ijEfl4t/5Un3rf66Q7q+MSacHDpSkS47lXJ0vHPel2fUqv0Hnrvqu/PON1ets7PyZdG7mC/GH/86u5ni+deM73I9pBhAQw9AW9UH/12XeSOH94iJ0vyPE0VMrQ/YULro2IiYFDKdxk5UKnNxyhcfSH9cxoSJIgMf7sUwIH8yOeo2uiYoQWzaSmAFAAPzgRgF0ab9GG2QqM7t2BQTeHxd85QBfnSyBGBCjnwe8ASNJCREWSrJk8k7IxlMFKgrIELmeFVGi91SuwbytQA4N9W6d6rwOxAmd1NVGqwvIBECAgwhPAwBM5uFfaO5mRAcoWj+yvKhTAD9ukB1vSAtILVCVAPnTEAGDwLumu85aGt2xNAQw+D1cr31m1z16iiXWEjC2eY+Ibl44hd5mfiWIYRR7iPNypguAcGU7PJjh+WAMMfB4T28xYd9mZ2y/7YW8RIIes3fSHynXOAykOzz5Jd9lREK/TJXxmvEOKQ9Phnn9eUxjpvdL2WWmEMd7Vz6IX3auP6g1h5D+kt+u/3/DGTph77oQ03ptjsPcnj2jlIGe7WxfpyvCWKSH8x3/+T9LmosqEe0xIvAII5MUZ9w59IDgceP4f/NR7U+KaeUTYvapCISx+8rhOPvqWiEhQ6w8YQqXyU997XebiARxZnZfj2RZK/cePRCvmtY0fRJSkBAHdUsYl78HG1ORJ61cA1KwyWDZZcsdGUjUX6tq47xldSkGo7oZInIvPLY9lw2+uh7kQAEGDB5NS+W6YUMv3wlUeeekJAMwR6f53faM+cSD+g+tjzJAVqIHBDLnRB8Vlnl/0SqAyweWJpBOKVMKu26TbMPSVzWe3JaQSiDKYfAiAINLAcYg6mGMASfBN0vizpLsHjgvtAh6+DiNzTBtsHrykA6wKSNSAh68lfMk/46myZTlYNrLhQW2lPTw3DIWb/jjKwDn88HdEguN0mijtrohvP5+iKMj5Gcfxk73eLCIXPRVvYWEAgu40SRqdx0XkAAU8tA/CsI0dGeH92f1NzR9Emnl3u6Nfq9XQyOYF0vb+ILOdOfjdMID2VtkX40/kgvcIf5c19hhMkxP5DF4FG2DFOgj2Wl094XvhToWsndMj7tPgPg+lES/1Ivy7yYlcOyAIcFS2M3b1hNfTHr+5HwaIvGJs2Vi7u+57QhAJj+jfrUZPSxPjs6Wd/Qk++rN19ZStp6Xe2HdSPdThYqwnG9o93qc9HKenFccpt4mdR0oP9HYAjT906W4B2toAbr7Uu+LBNleB70FEQ8bmBzmV8/dVc240Oufb2u5zflA8CepJHOQrUAODg/wGHVbTe1YFDPDqMehsVZvliBZAutopbbld+mH1MekCJHeOBhh0gwkDA4seQT6EJPjGZN3fMXRcNArCCFhStlxPQrcm0/l9jKqjDKl/l+Fjh/gxQFYTxHDjybvEzN6/DYw9R45tA2VVPTxLKhHgO5RG6eEd87IboY/pEsiy74ENrueGcaQk8pptz9XEA0dFSB0ims/DWAMcDPDW5hKNPjA/KiUMHNzK2UJLWWEAMEjyHwDA5YJlCJ41wduF+MkepaBUcvkXRoUCZD2AhEtGHSFxNYHPwxr6fjiEz3GpMsnOCtmTAOPIX1afTMGo7L8AOHLvCa6d84Z6YKuhOY3UophCPmydkix/Nkc7wAxEQjDWJgLagLMfn7tAxJ8T/fAYEwcZw++8eoxTLlVKJ6Im3ow//BljXalgcqLPQ6rH5ETG+zyS9lLqW2/1CuzjCtTAYB8Xqt7tAKzAbxfkQwSLeNhBGMT7xzEnnFxFDjZs7ThS7YgBMgT8wcOSMUQKAAsABDdRYp+/kK5b+fR4+KNCiEEj1G0xGkwFBgJSH96hmfP2du3REoImfM3fjhZg1BxlcGlhKQxUNv1JIuHcthE2+fCWsVM0u3+3ntH418gZl4qCDlOz2iY58p5z2SbDmYyH4bbWgDUDLPX7xdHnaHz7PJ123I1BEOS6Ke9L8uHKthQx62T9fUdPACxZyvfzGEv0JOWLTwjDjoH3nKwk6evg1RK/ePGssRUOU2CpQ5bztwrjzHqTmnF/BisHso4BYLQkzunrcA8KiIYAAuZmQGEgly2SF08J67v3RNr9ZO5zfoic3GvKG++5cU1+15aOB2Aa3zzU4U5gkPkJI19FD+7uTWDLd9OGG0MNMMBwu9ywBAYACSoJDDbYh30BDLx6Xxt5XtnHx4eLwY8rGTjedJUMNTA4AA+vmXWIGhjMrPv92F5tWa54TiFvjJGnWyLCRhh4QMJWae+4tHUEAZ+uVAIRUh6mAAIqHHgFYDD2RGn93x0T+W6MiMPUyBgjj4wRCKnh5nbd2fcE3aJTw5igL4BqIZ6jO+qhgYAGgCV9bXjdMAkugrseGkwwNkV+muGpmrRoQ0Vq47YbT4sH/LlP+mrk8/GjKVnEOHl/bpQ9caolXEFg8Ry8Zq7HkQT2ByDYMEJSvHrs+RFefvmCT+sluiI8eJcr3n/B3CDxYeBTvjibQGE0MdwAKYw0QAfyHoCCd5i/Kyc8V8YAFgyKmNPzdbXOHPuuhgeW6ts6py32ZI0GfxE5FoabjetxIyGuwyWOrighygA44PjWF4CMePbod7VjsD/UIUkDdZztRqgycn1lNQrryfoAQABAgJ+yQRTX+P07zo3DDK7YrHl9O7Rl2xJN3HRUGmx0AhaOR3qA6gtSBKPrlkrfKoABBhoDD8HTvAmMuksPeeUzeBLWMXC5ImABY2/+RAkmDAx4ZR5cLuf5TnU8QAPvO7JQaR/UEYPH9tF3qJ29BgaH2h07lOf7+1XEgGgBwIAHHhEC0gkQDm+o/kaAZ1iabElbqErg+Tco9QIC4Bg4ymAdA8iHkBc51mrp+x85MYCBPVOWDK/XpXpu0OPOfiUwADjYq4ZQhohQCQwwhu5GCOEQ75LNMrkYGoCB0w8dDfusamD/m+84S5o7rl8/+svtOQEoyhJHjun0Q/ZKOLOtBGjFPYxoWbbWLtnTnDB8lA9SbnhJ47N6sf5ncAHW3H5PAC+Awef1onZYPQ3x7DaHwOV3GE0MNqWCAAPmkQTJvB6P4W9C+oAPDDcaEFRtYMgxtC6nM4vefQucKuB6Sa1wj8zS974GPWbml0aeNTijuU47+uZFNQngwWuH4ScqRKTDSpKOFHk/UkxlQyPGMt9vbnlGHGfxki0BGra35mvk7mXS+Cxp/rjmzt8RgGB2X5JMN9+xKo2zIwb2/jHwvOe0Q2nkiSYQZQAYYNA9Bs+f98r0g8cZEPDZMXujwyP8kRBK4ngchygCn89PPQO23Qv4J6m3egX2bQVqYLBv61TvdSBW4M2VwFG3JLKVDlE+HJUmfibdzWtBND+VMc+pHni3VC2a4SrQWAlSIlEGflZKX3rbeVGHj9F0GaCV+njFgNk7dz8DvP+f6Inh9Z6udW0jh4G0gS49UYwXyoJwGDiWowyuSuiuQ7ciYXbMWxFjLImcIfhU0mMrSXb8jVgREQ13V8RbZh9XOmCeMZYl895tlwELFjjK9MPdmtfcoRv7zmwrIzpUX7LoU6Hh5zEnCwBhYN07oiyJcwUGx/famtTHUbhezuGNuZuw6KZEvMd1WRSJ9EOHNDqV6FdqPJjsSSrBnRK7z8P8y3QL62ZA5a6SnN8AEFEkwEFZxug0icmL3eqU7lfROfdkaA5wjzlfSlKtmFI1AHBlXcqKgpJUagKoya4cm/VBW6PsEmkyqBUpUzWyU4LLuA/pPQfiP7g+xgxZgRoYzJAbfVBc5ru7yhV53q8vjDph1VFp09ZMvbL1Vq9nUgP/qiptQMoBEEEE4eJKuwDdA6IOq6XPvfR5AQzcRCk8vkqIiMN1lyhinDAqPLh5mFNGVxq40lBbNIYwNx436oEYZUoX3Ua548Xnw7l88CcZbn4YIQh6peqewYvP51d4EtfqwvDO8aiToNcTXjuvXA8/5ZYh+uwlkAoO2cPAAAQghNSyj8F+fHaqbmkrAHZ3RWTemWroa4MXk/psbLk6DJQ7JboxlEs9WQ8qGdwx0WkCzm8xIjgcTvGUa2K1RUdMuB6P5zzmGJTAAK4DxjnTJI8PLoJFqNiPNIa7HvI36+kWyRYdsnQyQksYXPgZTlHlmKxS8WY+CmtOSgXuApEW1txlkN7XJFBHYFg/5gsocwWL92EM955rsuAU97kEiS679bX4PL+lLx8Uj4B6EofGCtTA4NC4T4fHLC+tuiuSUsbL51lqYEDUgEjAqLR3vfT9kalVXAEMXl2FW8nlQlQkivBcSY8vuiuukf7+4ot1qV4TveqpLbdYDF5dAoOHprQCxmgReudhj8FyX4Hu1sSM5cFrsSFHDNzuOMFEdt3r9vp9AzkHXjdjaBPshkwpx9tpCOxz8UpUwqkReA/Ow9sAWZAnx6R3TQida8K4EdLH4Jed/b6nMwJs2Ct1jbxBEcauFAPimEQhOKarLzhvGda33DH7ZkXGnOAWMIbjZ9MfftsZAIe1ttfMGEceMNQANca68oPIBdEfQv8GOIAMN4FKYPDEdirEx0OempRQ2R7aaRL2ASwYGJjIibJipm762sCDslXmzDlRlGR9y/bNjkjYIPM3KSlSUdxb1oBrcttrgwl/T1KBcnasDdwOrhuA5PNYs4C5Wz7bZZllKW4Jisqozit0xeHxDKmv4lFZgRoYPCrLXJ8kVuDWKmIwJD24pDe6/A2s35M9DuAH3FZxBa6XNqxLbgFmjpTC6SdLemUFDH5QAQocYsqwUD40+fBk6U9/5236cOstOrNxo16vjwbBzBUCPNjJKbuW3w930gg88PHiIRzScrjdk4G5D2TjpF6IknAi+qTvLHuyaNKTLPzvhaErDXoa7vQmnSbA4BCmZswl+qxW3b4588nM35srLyon9LoLnq436iNhaF+lT8b82Lr7D5TnxggREeC6MYykR7JbX+bE+RyOBMYXT3vjluU6Yckd0doY48P7ZTkiYyDy0ethx+hcLRvEZA2H0UuFRvQcjmw3gHL/BkDQlVsu0p67B3TEijEtW5K9CQBsGE7mB+AoDSZ8hIgYNBdocd+WqprkoTCYGGiO7aiM+Q5EAjC+1idg3QEukC5RJXRVA6/mQhhAYYA76pSTAQpIJ5TAiOvku8G9dHOscs4GWOUYvnf27t3d06kTh/0BAgZzzMepGyIxLl0ty2EdBWM+pbZG2c1yuqfNO/Xh+iFUr8A+r0ANDPZ5qeod93sFbu8Ag5HF/epptRSdDtEwoKKA6AEG8mvShhu7gAERg5dVqQQABPsCCCAyQkLEWAMu1kp/fvGb9aHW23V249sh14sxsYqchW5cy881WRAI7xGjCHFu0fDOBAYcF0N9lLS3X5qFEa/e+9HKVWFE8IQhN+LRsnFdkw3O1BFDmtPMUD+5ffgCeL4YraNvqgAIxzRJDYIloKCqZ//Wc07TG/XRMLwv12UBDEqPnrNg8BMYZPqCKgZSHRisX9M3g2dQ5tFv00mhIAiRMmSWt6x4RGBgwAF4urZ5oXZsn6cVS+5uVwYYGLhaIQ1cmk28+H++58XSpl5pxbiWHg2PYOvDgAHXk0Y+SzOZE90JAQYYZNaY0k5zRrqBAWMBLt3A4GW6TC9oXRX3w6TR0D5o8mWRhvtSatgNm1gjUjfcV3MM2I8xnJu1BTB1l2o6RVSOQeSJKAPHZow1M1yh4giOgYFluX1tGYVIOOdUWAKD7B1RAhOXjJZRgvL/9a362H7/+9YHmDkrUAODmXOvH/sr/WChfIjeAIYXI4+jjWEkcsDrTdL3hhMYOGpwGsQrWjVTmsj+PNf5nZQEDGzG8bNGuv2y4yKVgGeKV+oQsb13M+KJHGCg2fyw53fn63lwl2JAjMdAkKPuazW1sZEyyzygedhbA8DRAS84D3Ee6Bg38tMuqTODf7obY2lciIK39EE+fGbMhmOYeMbf5cZ8XcaHYSUFwdxerM/rBbq60GNoxLwxpMyb+fA36+X+CwYRXJOFmuzdex1cKmljZCIgc7K3m8dfGeWMya7YXqUfhiNsbgCRvIQUdy439mdeGE8rG5braQEjaytwvlLuGvC19KoqHEMmKZWDE+x5swJnpbaJSOB4JcDVmAToPfwOTVbHafVIrZ4j1Oyb3Ra+cnog0kpj4+IY7Le7PxkzzUamKCyLbeBlwqpTRFxzt05F2X+hnP/Y4pwDoPTInRMx51lWTmTHZXsf+///egaHzArUwOCQuVWHwUSfWwEDQMGqyiOGcFg1TArDPilt2pBaMoACqhCjXFHSKQ2JRkr0TniolcTEI/uknh7pofF87xge6P8oXX/m00JciIA3XhfGojsXC8MbI++uhi6Tw9vuZsS7MqH02GwQARVEAeAP8CDvJjcSusZzTC+vL4wkhhODjI6A88ulNLNJaCYnckzGUpLnlsEmx/mb4e6JmFdC+KQs2Ieoye9s/JfYbeIoDNQRUd5nzQMMMt40m8EGURaTHDkWnrhr/W14syRzbpQxsl4m9fG+uzzyu/kTTmUkiz6JkxAeXflBJQJr0taaqPgE88Z2atdAf+hMMBcDGIAd83appTkBrK6Fi558w3rpqioC4+IG1DGzuWKnXLY0/hh9wCYbURs+o9qPMRblKlM/3f+anIcxAFfO5TGOCnl/uDYQaDmXz2Owyyvgl0haaeD5hzCQttAXvUao0HHZLoErR5x8XR+qgcFh8AR91C6hBgaP2lLXJ9IlFfmQhxjtknmwQSIEGPDQ5CG4U9q1UbpzLAEBbxGE5/l5qjsy+sHrB3jZP4EdL5f+adlvtvsBlCtvL4xXC+V0DNnCKuedYj8l+dBsb8LgeNVucmOCHWACkSDL63JO5/OJSiAYhMHDCBusmKDHvmbXu+qBfVH0S5Z/Txs84OXj3XtMWVLncDvGFi8dEIH3SeqB9IgNP2OcE3f+OislOrl7VwgAFMiPQ9BzuL30yM3253isDUaezZoDrlpInkWCMzaDNJda8h4Aw42oAFKuoJjX2hGpAF97ycJ3CL+8x45c8HrW8M2pj2Ejyo4Y61zC/IJh5P25hbMwzGyW7PYYa28wpkj3hPH3GCJhPg7nKcGEv7u8LpP2nig1+6S+Zqap4LEMDy4KeBklkmMjEXEIbgtjHFlzN1H3DOF/yik1NyNjX8srX1wDg/oJvO8rUAODfV+res/9XYG/qHQMTpEmTs8Q7SwqESgzJI0ASOCBW+kaTIylngFO0ul4V8+qvCJrwJfAwGqIK6XrXv10fV4vDiNFbt1NgXjYYvyIFPDQDSPcampXY06E3ckr21u1Ycwwdho1pxacn76j74TwcB+Jac4xPM5hd4w152IDYODd2ziaVGd1Q8YATogQQBS0IiHzt2EF4Jjp75bSTlmQK4dYR3ger9r8ik7IusO6d0keVQ9cM9d1p54wRWzIBtd9GjISYEgzGftmSqXDF0gwkRoN3teRDc4DEIAI6VJI5slxIUsCNFI/wE0I8gsIgGANrdLoiBBRDtITjHGDqVKzwLn7bH1N46aedmQhu1R2OAQAOKJEeQ92x/p5PRyNMFAyh4BjsvE573FNREGcRvF3zhoOee2nTkkREUkB1Lk7Y45pRsqLMk++K74Of0ddqllyJQzIvHbPq4Dh/v4L1+NnxgrUwGBm3OeD4yo/U0UMniLdtWZpGIrjNtyfEQMcTZTj8ODweCq+wbZ7pZGWtBry4Qsqr4jQqcEBXprJenhUK6VPnfe7ulIvjEY75Nd5ODoXbcnj+WOdWPCOgbm6XJdE+R6pAowjD++ScBbGurlbjck94d2x/WDoxDBqbGX6gL/TYO+cIkKEpyTAWEEAACAASURBVH61XhDnwtgAWmDaO/RtYGCDa64DKQGADgbX5YouDXSoHvCTnvRDbf6D20cznt/5nJp6ExW7iWpEKFgv2PQm4GF03XLahtAiUW4Vbd4AACSaE0WqYE5l8B6Kc3KNTsfY8K8c2awfDq0OI09EgogLKQs+p5KCeZRGnt/ntHZpXeOM4JAAXtyngrllF8htMcYiUJmmQXdhMoyrqwow8mw2uIwBSGJQu1t0c2z3V+BYJTAwdyQ/Pz6u3XNwxQdGnu+CBaNczUEkhvQIn3serPVGHRuVH7SNntfY0b5vrqbxd81ADTBmDYfyHrF+Bgb/Ve8/OJ4B9SwOiRWogcEhcZsOk0leU0UMVkv3rRyKB97S9aPt3gihG4+9JopwqzTRlDaNSjtII+CM4WgTLnWuGIAAMChztCulr77y3DCkeOSUqmVnQB6r88I4+QFrchj5azxyjDwPfUsnl2Fu97kPQzUyGsSu9YuPiZw3W6YNWmEYnKd32ByjiPeLceI8ABCOjfHDmJXVAvas7cFCXvv2QEZAODZjmF/ZuMkpC8YG+bC1Qz9uIIl8YZvNbiEcRzGcSkjDT6vnI0P34SJdGcdISaRsmETUwfn7BD2tmPdy3dsuHWQOnfREkjHNlLe0MUbKUQCuAQ/dEQP2z54NSwJEWEkS4wZ48hpxjQACyJjmSGBYXZnBfuaOdKcubFCJBmB8TaK0QJSjN64EcISF+cBlcHSo9N4dUQB4ugmXgRJgh2syaTTXfncVhWjGtRJR4HM+c3oKwEB0y7oPjHEUqTsC4jFWiuRzA0vWm+Oy1RGDw+QZ+ihdRg0MHqWFrk9DqqBTlbB58WD4ckO3jycwQFOeqAF50S9Lm66bSj48k14Jv1bpGLAv+wEITO5yjniltP4Dx4QhRTwIgRmY/bv6Uo6HrSSplWVrGBoMnD07s8MtwoOBw+icNHKXZo1JI8v7gy9gY8mrS/ZKr5kHNd44D2m8SlIDXDvaB8vHNgVbnXSGUxKcjzFHrx+JyMnmcwYjAsK8ETei0gLDAekRw40hc+gZc76sNawbG2fqs7okgAGREzd2MvCw0FKHBLkgygFfGMDgZ+22ytlvAu7F3PDqHS5/StXXwJyK7vSE20MzRwAX80Md0v0dsnMjtfgJPLge1/qzjgZizJseCt26E05ZcH1EGVgbvHbmybGT7JlpBQMC36fUaMjGTa6MKKM20Ry6tU2zxyfauf+xBUdoS9/imJcjF+hwxDEn97QrE1wVACdgfEDaNjAUII75E+1gDPvDG6DxE4CD74qrTRwxYF3KqpkSZPKdnT2+p807oIz23qFFcbUJJlIbgQgX+7H1DtYcg/oZvO8rUAODfV+res/9XYF1FTBYkkaVB9fAbZXAEZECs62vkTbckMAAfweBoynAwI2XiBhgl4kaABQI8a+Ubv/AcbpCLwnCH8p3dFI0MOAhjBHiYe1QLA/7DGMvDE/euX0DiNKrxqs8oXmH5oztiYdxCQx4eFuNzsaaY3A8vF4e9C5XBBigfbC8uTHKzGzo3JiIua0a3hzA4J61iyIFgZHGsOKtcx4LA2UdRJIlMb6Alx9ora7Qfwxg4OZEKUecIX03kLKnjgHHCBsYYDzd4bBUMbQUMPPA+HbzFqyvwBiDF5QEMVpEJFBhdCkm68J1ZF1/XzuE71I+7gvrRt0+96WswgBEsXFcAwvmxnnhGrAOBgVcszdLSbvXgVUwncYB6JD6MLcE/QkMOVGl1C5ICWof0wCmTMsAAAAVlDFS/ZFiRsln8QaZkvXxPBwR4LqyW2WSD80n8LryN6AFgIHRh6cDeXHLwMOBASDF4GWgb5qay/39f67HH7YrUAODw/bWHoQXBseADWNOaoBn1U8qPgHcAlovwzRcJ/14fQIDNoIBZzKGJkqAAcSN4CXwHtoGlL4DFgAWq6Uvvek8fVKvCsOFoaOgrfTkvTL2wngYIxFM3rmUpHWFQM6BvXvCQGHg2RiDN8wnhMXL5jUe43NZ28Dhdo6N0bMoUnm3yvMwjggDPAGMA9cEMHBEokP9a7TTJMwDgh3ENnc9NB/A5Y+EnmkZ7aoK5gUwQPmQVEJ64unNuiLDBEHmxz7tqoGKyFleg8P4GDkDA86dxLvslYCR47zmJVi9zyRGqxSaL1A2PCrvId4xY7h/eOBlON0cA0d9OCapAIfbHRXqHC/zVBYbcrShlLo2COCYZZrFFSJOC/BdMgnSkR13/DSY4/rZDGLKNSy/f9wL7qVTEWX5bRmdMthNkMo3IaNkv6/LDsIHQj2lg3UFamBwsN6Zw3Fe7684Bhj0SkAmBI4gGgIM+H1M2ntL9koot9PZ/7crYEADJfZFC4EmSnzmJkonSp966e9GbwG8WmSHyWuXZW3OyWNMeNjykCYfj6HEeDHO+VlXE5QdFjEAjCHPjcHmIe1WzmUO2MDDBsRKiPYgM5z+8yI/PrUjnr1EogwAEAMDlwR2Axz/bUOBx18q8XGl8AIwWCgSIvtbyu4CDFAKtCSyvVnnzPHOiSw49J26BBlhcYqCObg6Aq7DlsaSqPYwY96pBwMDDJ7z8Dao1pMgQlB65zamZedAG0IMfCofph6DjTdr4IgH6QOOzb1ya2wrCjpKwdhulUzuI98HUiyWKubKWTvmbi4F7+W+22LegD56VAAkTX511QF/l30iHB3IVFb2zfCash/nmSrdnN8Ofy8NXPk+8X1n49oZw/YPet3h+ESpr+lXtAI1MPgVLWx92GlWAPIhW9lEiShBFzAgYrDlpkwh8MO2En2CCypeASCAMQAMShjLJkqrExgQMeDhTw0/D2o8aKvq2QtMY5Dmjfw2aYE0nhvjwW4vcbp7yVg8eQh6bCb1JcyY2unQhpr9SuDg8HF5fKsylu9hjJ3bT099ahvh0kB4XKmQaFDEHOE64DH/sOqVYG4CBo/UC2RNvNwkHz4xVsdEQVcOsGa+3lL7gPO4LDK6QDY36oG+BUJ+2eRHl37aeBItIO2BwYY7wdrzO0bc5aUm0Fk6mPctfcxcSR0AWtCS4D47LcBadPoa9LXJikRqSGtwvBRiSjDBGngzqHMFh6MQBh3mg3DN/O4Ig6tEDGjc9MmRHdbO/AsAhRt7lX0symMxRwClxzh6UwJV3vN3yZ8zzySVzolLukKvqB9J9Qrs8wrUwGCfl6recX9X4J6K8GVPnYdb1J6Pjqu3q1eCrivU4CoxmFA5IpVAZQI//E4aAY4BHAV+Vkv/+Du/pcv1e+HlkWvmgY8RJ3xeGnF+NzEMLxKjy0MeA+jKAnvt5huUZDvG8yAmXIuBsfFzu2LzBTqM+ck2AY/jJlmO/HqHY+BoxlTjkDoKni+GgnMCGBhrfYVyDIaZRkUYVbf8JXdOiSRrTqSDltFcLyRIjLIVGjEycBrgaeC9vlyfjo5+GCeXCJrYl2uQ4XdSF9/Q+TEfqhvObn47uB1WJix7RzgUDijwPJBtfpauDWDAeVibNLBZv8+8H9farg2NFfqGnhnggOvEK8czZs6AGTx7ky0he2Y1QUdjgWtlHPOhLJPvRVkWyffADbHKyoqyRbWv2wY6GRmp12AjndoHx8cV4MX7mI5muC+EK0yc9nA0IY38VG5Amb7w/szdmhhwZQC5bnPtFNY1EW6rt3oF9m0FamCwb+tU73UAVuBmPTGOUhpM9wt43Mi4ZpljQPPAr1TAwIpvyNHCS0DvnkgBUQf0C6x/74ZHKxMY2KhZbtfevfUFSu8QQ0b6AE8ylfyWhcF1RIE52yiUAjP2yvmMMDYP9LL0sCQFhr6AmjqxMmQYA3urJuCZW2Av1caz9P7Z18CKCAjzzehGdk20IYBweJG+EBUZX+87X9/WOUGqw/CyJhhWKje4TsCCSzSJGkCSu6LxEn1aLw9g8Bp9PPYpS/Zcy19+LUhNoEnAXEjhPLP5jSBWpqFLMSV3H/Q80VfgXnFdv6fL250QSZ/gTVtimjXA4C/aujPKRGl5TdoAMiMkTs5xpS6KlAvX50oGIh8uM8xuhH1xn7lefr9RT4tKEWsfEPbnPCu1IebqMYAUDL05F1x3yTtgbSGmWlmTe5f8ijMC4FAhc6w2FoJQKScNCC05AtxPjDuvZXTAIIF14j4YFKRGwo74/gI+sgfGE+PayjTM1/S8A/AfXB9ipqxADQxmyp0+GK6z6q44vly6e+C4ePAtaw5rYOueFDWyjgEcAlQQm9LebdKOMekoJF8ROQIIECGwyBEAgd+pSiBicKL0mVe+KDgGPIzpLGiSG8bDyocYGnuweM0YBx6qnaqE1ATAyDBPi/w4FM5yYthp1VzmxMnxYlgMJvjMRoRX57T53fXwZXrBt6nMozMviHXMFwNkHQYz1q2uWIaROY6vL/3fx4fhwMDzF1EE2jJz7VxjdhzIJkqsDUaeqALe+tm6IVo/YeAcwgcYcK1m+buygzVhja23kOHyjIp0rq1VKU82A1DRupp1yuoJyCOdng3MxcJEvj6uh7lhVDHygBkiKBhhPiO9wHusYXSOrAgtpa5Brk8jrscVAEQkACImQbKP8/ysDtdmg2swZj6AQSBjiBxwHNIhABXLRZuIyH0DVKSOQapLWn6bfe8eW6FdO+dodn8zRI4ajVwv5u/ogr9TZcMuAy+nDyy0xL7f1H84GJ4A9RwOkRWogcEhcqMOi2n+dcUxOEMaOSe71AxtGE++ALyBGyvjzu9V/4Rtw5XyIVGC04vmNtaiBzCUwOAU6e/fcLH+Rn8QhgYv1Op0PKzxoAc27Ol0ZxyQJhZLfzv4uvCgeZhi1Hi4Y0SfvH59lkEOpY49m0vErh24IDxvh4YxXK6hT8GfufHQtxHCqFyrZ+kaPTce8qgYEtbGYLs9r0lk5f3Gqy3LFTkHkRY8ZZdWZs1EJ+xMiJ4x1mawIl4qCg5HXp+5O1SeBg3i5Q/DEJOmKGv9GQ+IKI0OwMC9Fhy5SKOXstNZjpjAoFwjy/VyTM6DSFRpcAEjVmjkGFbvw1M2j4FIgHUluB7WzW2V0/tPcAYw4PjMif0wwAAFN6Jinil9lWOYG8fGYLOeRAH4zOWdgAbWybLHrvYgZXBLK1UwlzRScpuIxl0/PUnaOUtaOK7Bhdt1ZN+uAGF8Tsh/8w2rUsNjqWIfbe9PUIwKNLxBfvhX4fP5E/Hl6+3frUbPpJYMbo21Yfbrf3qqdDfnkY5YOqY5c3dp8cDWWEe2G6N8p97qFdi3FaiBwb6tU73XgViB91bAYK2kc6S9Pcr0QdUbAdJhVCcACoalvWPS1pGsYFxNZIBxGGcrHzqtYI4BJYsnSv/yrgt0qV4b3iShc4e9syTsIS3dOpoRhj5pfFDaPjCoT+tlYbAxdnitvJJ7P3vsf7XFaKYa+SxxxEstGe1lfrv0Ik0+o5KBCgi8WaIZeLY8vCEFdnurNvQQBTHiGGZEiAAFgAmLBU1HPoSI9wW9MIyTiZQYJMYwHk+duTs1wfwwcu4CacKidQowrGbi81Uwi55xNvwmXloymX0w2BADnUIIYBVkuUytuATShEbP1ZUO/I3hdvvnNOEpG8x8vBbMw9UHJVEQg41R51xWNsQgQ4g0GPL3g2PhgQMMrGjpMlQiEfAXdrf6tKCRioJlt0mO+ZOxJKIuGEjDTzRi848qw79wr3rn7wiDvaAvqxY2Npdr9DtLs9ER/Mf5e6Xts6TbI7SU0TGAAU2YAAb83bNXR8zdpUZPSwsWcHe3BUC6644nSXdXx1k6HuBhyYIEZ2y36KkH4j+4PsYMWYEaGMyQG31QXOZvV8CAzoonVzOqeiIEOEAK+UFp713SbVW5Iq2VeS6uGJJmuUWtL8YtanHK2R8dg+XS3r+Wrhr69TB6VpazIWOoxWksMINRcpvgMlQLIdFyvOYYGASUpYeMd16YB7GbHJV15J4yRsfKhxhhgIRL2zCYpRyvQ+fmZHAMfscgZi58aujbc2I/zgMR0HXyvm4MiWV0MaTutIjBQ5efa2Y+Dku3CaLaUXEb5rRln92DwCJBFvtxuaKNUkngdG7ccsZeF8YAdlxxUbL4vfbmfSSPIzkV1iTo8AHghvS0OSHWD+h01WxFWsXpBesHsCasDcfluwAvgc1VIpAbN9+3TBrvaxv42X2726qKoU+xLUsD+/qbYbh3bJ+nPXcPpOHHqPPTP6H++TvU09PSzu3zpE39CXTd+4N9cfINfvny88Pn/MyVjlg4FscHZBCBeKg5R6N3Lk0wwT4AjJ7JOA+pCLZtjaMPikdAPYlDYwVqYHBo3KfDY5bnV8AA3QHAQTyxipbLlY7BlvUpU8DzEMVj2swvQRKZcRmZzw+tfMjDEI4CksqkHN4l3XPOonbrYR7aJTBwWLvMmTv/bCVAjHrJTrcQTgkMAAAYMtemmyxng2hvnOlizFyJgGHC4BItcD7aJXk2nGFgqjbFfGYhpCy/yyhAqvOluI9TAjaoeLAQDmnG05pksRThZ+esXUmAEWWf8Z1z1D93l5YP0kjInRCTzOi+BaX3T36f6+Vzlx6aRMe1uoNlyap3WgFjzfy4Dgxv5s/zPFynowOu1jCvwfeNa4cP4LJEr53XoLyvZTTFcwGUsI5Wvwy54qLHAJ9tbGWnxFi3RiuM/sSmo9JgY3j7mzqipxU8AIz85GQj1rk1CSM2tz0750ibZk0FBtyKuZkSAGREmoFjGgjw6lbJfs/f9xhL9CAjAgYgzfHZGt80lCkJ79OTc2Q/tt0L+C+qt3oF9m0FamCwb+tU73UgVuDZBTDIdGyG9HkQ4u1X5MMHAQZVSTnAAO22AAY8q+1BMZaIgcmHRAyIOvB3BQwgFH5d50eIGWPdTWLDMFl1z5dXssIxVNnkKI2vQYElle2tupIBQ0kZn/O6KR6UdeRsBgZ4o5Yvdt7b+vbJgk+ing00hg8AgcEk718CAwvuGLhgdDF4XPu3m2eH1zpv/g7N68vcv0lslhdmTltaS2I/DM38gexAaCDFqwGMJY6t3se6lk2pfJ1cG2RFjLejHWUqoAQGZs5zrZyHNWdOpRyzyx0NgEjzcHxzERxlABAYfBDB4Rq97r4m7iWkP4AJm1MCJTAgZbD+vkwLAJbCu39gvrSpNw24vf/K+AIQ9mwfSI+99P4x1JuK9yIVUHj/7O8xid1yPON49XvlK8cg7VBFDzR3PAEG/AKnH7rPI2lvXk691SuwTytQA4N9WqZ6pwOyAk4lkBIAGOBcuRwRb/8HVUpgvfTjFG8LUEA6IYCBQUDJMeC9UseAv98m3XfeUITTKWsjDEyY2qxwM8rx3DGgZTQgjV6Wg2GorJBnT9y15/ztMkKPweAlWQ5PPisZDCIcZid3Td6bOUCOzFa/abBzDMZtarfAMtoBkLGKoHPiJgXao2eOkOe+seWZYbCOOWF9XIsrLspUQjuN0qQeVOHxEqZe1pcVGZwbDQMADAYag8ocWU0rK/q7EeTOqmkRY7rLP7MDQUr7Zl+Dx8WcrA0B/4H1dmrGYkBukmQlP5M1ORdzTFGk7DFgyWlrPBgsOF3DHBnhKg9AhsEB4AugQ8XGphv4kuKdZ05/z+YB6c7KYGOYS+OL4Sa/z+dsJgxi4DdXwLcNJoq0ASkDA4dIM1THdyrBIIJjlikFH595wD0AWMNLYJyBgyMHyfHV3pp7eEAeYTPlIDUwmCl3+mC4zkuqiAHPXEoPeXgZGEA4rMiHe2+Tbqk4BgADdlsyIM1xxABgAAEfQMB7PPxcrmhgcM5Q5PKv0vPDGDktYCPEK16l2966GgDjXgKDbBSU6nMOlWPwS80BjJINEcDA9eyQ7hwxcJ6d3DbgAOOMMI9D4tbut0RzgqJseOSSvdQ+ODYMssPpGLqSQIghtDzw17c9UxPb5+m4J9wRkY9HAgYApG2tSkq4CoUDDEJ8Sjui+oH1s3yxGzgxj3Kz0JLHuIyQtWFO3Ad7/6hMAtgs/mSNBwSpHJFwxUM3MOAoAAh4FoAC5sb9cHdFAxcDJl4BXwZSzIeoDfeEuRrgGRhA3LzrR0+qjPx4RA3GH3hcJy2AYW4DgyotAFcAcOCIAt9JgAFePIbbHAEbe175rIwoGBg4YmBAwGtl4JNDUP1TcMv44ficu4wY+HwGBmceDA+Aeg6HygrUwOBQuVOHwzzfXPVKwJi7VwIAAKO+QdK3MmJgjoGfi0QMTgEYnFHxCkg7MM6VCtgnN1GCY/AO6eY1q4N5j+AOHjaG0ZoEzlV38wbcvAfDjUHH+LiDYHjTEeIAy3RC1PzNvozhPBhTKgfMKXBawBUGGDlLM5tAh6FjboTgu9USMZiEzF0aSJkhUQ6AhCsIymoBzxHAA/nQxpd5MifLQftvg52yQY9TJzao5hB4DUzQZCzHtOKfKwzYzzX0nr+/voyxep/TJiZIuoyv5CVYetjVD91pFmtAcHyDu3I9mBspH98njuPmRCZeMg+Dr7wnCeMsRcz9dWSD45gHkmJZyY+wAFGkZrQ4vgtWQcwx2ZeD70GWmGaVh1M6joYwxpEtiyoxnvNY+Mr8EKdWynk4lcKYTGSlPHddrng4PEAfvWuogcGjt9b1mWiixIZBR3+AjUiBOytel4JGVCQ4KssuAINz+qSj6K6IB3SbtPdeaRYg4NnV8QALHItjv1v61vLTwoBSGshDGiMPOGCz4I6NgY29UwIWpTEwsMQx+1l2OMekieH4jMGjxsCjBVAKz7Cvj+EGPaVmPoaAckV4Bk5ZWEGR82EUrAkAZ4JzEU6nWJL3OZa76AEiMBQlvwJPeusWtKMhIKbWAYx2eAfxXqV/wHmS85DMfAh4pBZMqJs7sCN8fos8OW/vlANghE6KVDh4DOdwpYM9c4MR1pu1c0TB/yBOrXT3jbARxdxtay4QpDtv8ACOHMgSSG9cR3aj3BApHTc84hqJZjAPIgecvxS2Ygz3kDFEnfgcgAGvgWs2z8Nlmbxa8pg5cn84l1MdfO5oiYFUduJMAMJ3iLSXx3Bu7itRFXMhUjfhofb3A1DD59xbjD+KmsyBuRGV4sil8uHf6o/q50+9Avu8AjUw2Oelqnfc7xX4aAUMYBTi5RN2JVJgHYPvpMDRg1ulTc382E2UTgcEuIkSZY2MAwSQO+WVY1SNlfb+sXTt0LlRR86DnQc8YWSMmg063mBJ6sNAWAoZL5vP8dJdwtZRF5yMBzSba/1do29lQtfL24sslQmJLDAnNnuB7ohnQ2iv1TX9ZfMiAvz8zWcWbirLBO3Bci2chzlmFh7VPvdkyGt3WaUNCNflYxLV8HpgiDHiTpN4Xm784yhEydlwGoXzAAw6ZYG5di4jxItmXwyqUyKsG2tSGs8SlHUqR6yckPLBHtORKp5sqzpaAInryPue3wVzOnwtFl8CCGCwkwuR5FWvV2opzAuw5++H5ahZ4zJNYu4I5zIvhRJVjtdRU5wdUSTOA3jKJl6ZIuJeu5STMa7U4Fh8Tx2ZcLfKMmJgNUXO/SZdut//vvUBZs4K1MBg5tzrx/5Kr6uAgUuycO6oS8TbR8WIV/KlFvDjd2SO2Y/yxnOqVAIKiYADGilBYqQSizEc91hp5H39kULgoWwP1w9z90pwDTyhf4ADfQFQJWR/1AF55CZJ7fh4MOfDPI2VlfhIVeDp8SB/lT6pNcP3aGzBEdFRkAf3wtY2HbVtIudPOWVLuu7Mp+tjen2kB2hO5EZD5i1w7KGt450xTelH56wKJUeMDt0iEV7iemDPW87XIMMGwjcbg4gHmyDhcfE7Bok54zXbq3V5ofPwGYTOvgyAJkAWHqklk6OJ0thO7RroDw8VA2XjZ44DwMLAwCH/Tiln6iE4MsJYjlOKEXUDEJeHwg2BB1CCHowg9yijKz9vkzqdLrLh5nyleJOVJ11xAsgyQdTzY26ZEsmwvKNGpfYBY0jzMN4lqNwjwBJrSBTC/SggWdLz4frFTwvpbubjlEepowF48f1MzYvh2LdskuQogrklfH8BYmWUizkfV7VifuwfAvUMDoUVqIHBoXCXDpc53lABAwwlBCu4BZQoAgj4HScOA08q38RE6xwADCBQ8T6RBWRjAQYQGXn1dqx0//vmBjAoFQUjnK7FlWdJjje9vWUjI9ox2KuPNt4QSoEYTIwvgIFugcgRYwh433lzd8lDkRBDC2Huj5t/ooHr94SOwoMn9mqy0dDQxvGOTgPXOCn928Un60/0x2HA3q4P6bRbbwuxhvuXQWhsaMnIqGYZIFXrsv7iY/RO/Xl41a/WJ/Sc0a9oeHBR9DPAYGNsLVzEPOlAOHt8Qv2kaBrS7cuOq0Lii0OtkbXAeJijgHG0WFKcH0BWlciNDR6hO/pOiLVjTU4YW69+wBrH5t4skO47eSjC7Y48YAhZFwCFgYd5EgYG5hcYaGFQATqAA6sUGhhYQOnYkfs1a6s08Xjpe4NPDiMJcMMoW47aEsrmeZRVHpaPxjsHgDDmdK3TcVvv10Sf9NDcXjUbfdFxkcoEtu52xqVqI5EdgwDG3KCzAxhk74kHwqMHPAKykNc24Dxt622R9vq3M07Wn+ldkWYwB6YkXvIeQIw15Ju2fGxTqHRSUcH6Zbxge7sMlmsNSe6x29Q/lsqillXoHdx7uDxF6ut4FFagBgaPwiLXp6hW4IMVMCgNPxEDuAGABQwOXj8ggQZKk9lA6aGmtASyIuRDDNb6aowFjqoeBnEWUg5vku46Y2k8PF1hUDYvMomLhzcPUry0m/SU8P4xRiZ/uayNwzpEDzigDM9VDRwfD/VMfTeMqwljFs9xCd/S4dG4pu+sfHKAFowSxgKjbAVGt4B27n711k1hgO9as1Rf04UBDMiX4xnj9ZsLYTIdr8zNYXITETHoS8buD6Nyk9a2ZZId5rYksHP/XO/xrTt11C0Twem4b00a/uAgNIc1e3xP6PMAIB5c0qsbG2fG5wCN0zZkE6R7VqbAlHP3zqcTsrfuA/eE+T5pw12xNvevmRvggDXjHrQ99FYrgJZLHS2qPnBa3gAAIABJREFUZC4F961zj5KsmfcrZZAXjuxMsFNVwOxdID0wNDciQe1eHRyg0iYaP1H66cCqOKYJohh8N4IqK1vmj+5UL3NfPDeiA2wGaVwfa+DS1+NHNmkW33GWCGB1nvRPy38zzLu7jForglQLc3fEYMXYPeoHKPL9H6jkxPk/4achjS9TRG/aXUoB2BZKYlLn1cCgfg7v+wrUwGDf16rec39XAIEjHmx4+PACXH9dedN7R6XJlrRpVLqvwgjmGBxPIQPggPGj0q4xqbdH6iWNYAEY5sdxL5Z0ljS29ghd2XdReLuWGi4Z9TyMrSPgpjgYdjxd6xVYNtjVAhjlp+gHbX6AKwkgffFQd1liuVQcGw8W0OE6e8/DLHuXQ/pzPFFSBo5OYFjZF41/AEup0GgSJMfHOGNQSE3gGTPuNbpUiy7dmeWd9JsYyh4R2waG2t36TLykZS/X/nxdpVVXbY613XuWNDw0NCXs7/XgHN/UMyIK8WJ9Xmd97uY0VmuliarypNUjtXqOiBbMJl8SdicXTyOpp37l1uSHnJHggLbPRw1PtI0ec5gYkr42eF6kECDnPW/9dal0uUZav+yYKaQ8G3EMeACV6wtlQQwm3xlHmSoQ2gak3Dg+gwfD5tJYf2f5rhHtAmTwQ9SE1wJ4tEtwGeNyWgCB02JcK/sT7Tq3Krv1+EHp/uVzI40TvRgq4BFRNcYzX8a7zNeCSswXoOx5GWCzP9sf1cBgfx9fM2l8DQxm0t1+rK/1WVXEgAcm5EMehjzckwfWfhA/uCGVDw0KqEpAp24J/RUqYACImEWFgoGBH+AGBudID57Sqy83nh3eLA9ajClGw+qA5MyT6LUrDD118SV73bnoTj18XxhqhIksisNYVxiYpFfKEwMAKJeDNc4YG8bMaXfUFN0DgQiEyW5ukczCuFrBn2cY/QlB3LPCInMh5NwRI1oZXvEb9DEt/cRoVnSwhguk8aEEBuW1EYXIroVHhpFf9bkEBhjsB5dxF6QGyI0SzT66Jib4oG0yRv5F+rzOvfL7abxOlvYem6Hs3f1HqNXT0K5Gdlrkh2gHYIJrPO+G7+Z34CnSfcsTgMwfG1UfBNRqPOej1TIRBVI3vzX8lUhB4d3fMbA67qs3lwESMThz5GbNQh+jlBdmHRxlshyxjTuXx/fTCsLmrgxKe5flfHoNJkpgYMPv7yGvHIcIlrt/WuWTaAHffSpz4MjweaHNMbK8P74nUcUxNh7rQAqlDUiccvMFE+ngXNZBMGjgHAYGF9fA4LF+/B1K56+BwaF0tw71uRIxKB/QXA8PMx5sVNPhzfKQvFLadE1ebCge8h7eJ5/z/KciAQ/KTZSsfGhtg9dKIxf0txX6MJxm5ruxUnbm26qV2tCuDzfZzCx7N9Mx05sxhOXx5B1hcDjeFQXZhS+Nq/sJAEAwgEQBeA8DjPHDgHMcog1EApKstiyADOmJBAY/awsxYeier6u1+vZNGl8ufXMgKy8IsXMM5sLcADtEPciTc00Y+SfdcFes7cRqacdgrg3jzHL3NXLNjLlEn9Wqz2zO+8Xau4oEo9PI42wcXBrAAIPNvOFm/Id130pjdGKG1zM9kSRGp1mszMj5iXBcqGs1r7VDw40svyuVJDu2ryPTbGln1tD3lf2c7zeQckrGtfzTtbR2usWpDsYCtqyt4FSCRZOsg+CmTK7iAPxZ2CrPnxTFBKNJsmSM59TX3B1gCU6D5+tXA8tyjLUSSg7CdNGpspFWeU3n6nuH+tOjnv+juAI1MHgUF3vGn8q9EpwbxciTlsXbgVz465Wi3MelXZ/I1ZqDx4XhJ+wKxwAQgfwr7Zp5n1Qw42H9AxYAGG+Sbj/5uClCNXDCzeLH+PDwJY9Njp+HrqVzk0W/IcK47M84axUwBqNr/QD2dW1+kPdau3RH44QwyGakY/wYg/EjdWEjzjmDad4a1oYGDY/ODtBgQ4eRO0ffDiCCJgHH5Hzv03vT+18lrb/gmDCkpEpczw6YWNG8OwiDVFngeWKwz9pwcwCDkWUJCjB+5l/Yiy+7Ub5Mn9aqT2xOMqhlp+1dc9/WSvcsWxTAgFQCYOaZ+rp+Y8P1AQzGV0pbBha1jSNrCCDinERsLO0MwQ5SHgaYzx2lAVzxe6mxAFGQaIGVF5Or8PiIVjCedTa50f9rRDU6fS7cgSurDNgsVlX+b+Z6IG3Y6VdhUNMx8ikWZQ0HVxAwX4ONMipUAhxLcluAqBxTlr6Wc7KoEd8RC3BZyKnUlSgFobx2HOc9+tCMf/zUC7DvK1ADg31fq3rP/V2BYztVCRNNqachzcKo2/MnIkAE4Rrph4R/3V0RcSOME+AAo3SvtHdrlUpwqNZMebzbT0hfXXNuGH9L8Nr4uZkPD22MOcJCGGkMMt43m1UK7WGyr8PTBgaYDnvrjHF5mBXu7CHzoCZi8Az9axgtWOqE0Z1igCjnB7w9TObKvgAQwATESISa2LJccV2kADDKTgUwBpASvITmsDb2LY/yObPXma9r7NnXZYLOx2MgS20EIhVlQyMf3+WfNvLMGQPOsV0eyjyzC2RGRkz2LBUJ3TnSXi/rxXpyLLdN5j0bPY59vr4RYIpjA6Q4PoAEYMQ5AHSen6M+7tjInDgem49ZAgOnanjPpZrl193rZKPv41jKOiFPij+Vx7JxLr17lztab4Fj+fNSQMvv5zyznXTZy8MggHMYbOT3tLOvgcbF+sL+/vfW42fQCtTAYAbd7Mf6Ur8xqwIGxURKHsG86n2Ih6lRmKqHYAF6Jjjti+SBm8+5yRKyOfygd7TyLukvV74u6r0xIBg1yH/ulOiHL3/DF2DLqoQnhkdvtj+f4YETPbAhS47BTfH4pVLg63pmmwiIl3mSbtPZuiHG+GGN0Ti1dYvmjU7oi0MX6PN6cRhAPF3MCSVpGHynJzDw+PRR9z66U98YPFef1SUxxkI4RBIu1Nfa7H1zHoiALGxuCw4AhpNrv0bPCWARhMXWcu3aeWS0V+b4VmjEuMBPoBxy0cad+pflF+hy/V6lTJjESkLlVBFYIMilgXj8y8Y269qBHJOgASP/uEiJ4OWnzkKzrQPxa/pm3A+iDdTyY+Bj3OgCzRvcGefprEdKQr9AV+vM1o1RBfEhvT1KFVFAHH1gfvQzOGkw1f9Yd5fyXaLLddq6rJRoNyIqc+9uTgRmAKDyN79DuqzK/SBPRp7fVTOA1778fNdA8ieO3DmhXn8x+aw/qzZCn8O9EnzcAanZB1+j4ivQ5Kg/+QtR7WGSYrU/UTL0MSBv9rRaca4ADT3wN3qD9zGwbU8SD5n3QB7LKSP2rXUMHuun36F1/hoYHFr365Ce7VUVMLCx52JKdUNfHFQBnqflVo4BAEwHDHhcni/p1LukP1/55sizIyGMQcQIAg6sBochxPhgDPkdKV+8eQwUYXsMztl9344UgGvZ8UoBBjlmMsoOAQeup+cVMNEx8gkOCDO7tvxfFncMLuFyznNK3y26SFeG4c3sdv6c0LojBJIQwrlclwSPgNTGxtHlOn7wp3qhrtSx2hikyW4dA3LXVhX8pF6lK/QS7WjO0+imJdLOWRpcsznOa24Ea4CBf8fYB9W/Xvrc2ueF8aUWnwZLtGVetmC4LXCEJ24Z4OfoGlGO+U/LfjPGRCSlGrNgwQNtvQTAjtUk4UqwJtcM/GboOtzdXKHRzdQR9koLJ3TycTfFupkYyu+sEYJQ3+x7ht6r9+nHYydlO+TtvdLcvVr1BIDBlinABaBz2g23ddoh86VyBYDBAukpExKdbSgAAxoHYfQh/bkKgP36k8SJcQ4hq6rxVwALEw5NNKzARJznKGlioAIBVUkhwACwEADElQ7VOQwMAHtRsbGlEs0yAGFOPk8BbKjk2D6YKZFFSvnreqtXYF9WoAYG+7JK9T4HZAU2VcBgiIZIlFf54eujVznsiQelkdGsSgAElFEFfoegzbOTCMLRVTSBoex7KimH66XPrXlepRKXdeQmkZWhWoy8VeKsc4BHHsBACyK/jz5+Z3pZYZANj6jHT1KdeyUAKgAbRBQcLbDSYvYgaIbAkKMY2WzncQE2LDZU5tSJJOD5AnAABMAFwAShdAwgOXcAAekGQv+cK4WDCMGndDNzxCO/bMvLtWeyod7+3Wr0TGrO3Ic0r5GtnlkfQs5EID7efK0Gbtqjvz/zYv1h678FIOjrz3w8vQisD2BBHtYCYEAYn/O8Z9ufaWLTUcmg52ehNHfN/aLPAmuHgWdMiDttuE2fWvm7euXNV2RnTVoU0++IjoEXSr0rHtTyBRtjTQFNAQz07QBkb239pUa+w92vtv7cf/4C7sbPA7SwdoA00jhOT/DK2jhd5MqQMvzPEZ0SABhZXdLttOFIkG4gZG85Z9I7Zw3fHF47BhmxpIgiUHWD8cc+E5Hokx5c0KsdjXkVFZEz9cR3iPvL94bvHfeulD/mu8Xn3Pe1YzeHyBTggvMQMZgzticiFI48EE1A14C5sx09pfTngPw71wc5jFegBgaH8c096C7t6CqVAC8ALoA9IpdrucyKUKpDsPaE7N1NSls2ZqoBbLHa5ESQAeM57kekf1t7cuRt/eDHCLurodfF+vcYeYetM2LwtEgplCQyG4JOg5/doWeAQcd4oEJYNttxXp1zkYbAq8cYkd6w6A0PencwdItl6y3wNyF4jJyZ5uzLWAh3eN/LdW/1ujEMMyAFAMHneW1bw7h8VG/Qv3zvd8LDHVpzXwCCqEIYnavd433as3OOND5L5z3pS/pi87ka+M4efeS8/6z/80efCKOGwZ03f0c0Rtq1c04ACyIWBgcv0FXx+0f1en3ki3+UrYQxhtwTlJKpNcUwLp3Q0DFbdULjDv213qSnrrtV/+8Zr9Dr/+IfsrOmgcFSSc+rxp01rqcfTXXGcFRkAAyu1vP1th99LBUwOT4/eOKco1/qXzqilYN3h/mmZTQ8kpJbUv5fOE9vMOD75e6HNsgh7qThAAyO6ZSGm+jNq8Y+FYqDVGOQVuIehIASZFvKHQcy9bClL1Mz1spgDnzfAAe8i1Q1r2U1jMmafPYcfTFks1GlJIqQc5+MNANCUOZSlLyGOpVw0D0ND+oJ1cDgoL49h9fkds1NYBDRAgy6w56uv3Ytd1ETTvTgoXGpBzEjhG4mpbvHUgCJiMHxDemoufn+5KR0VEU+/P45lDnkxgOSBysG00aW98wkT2Dw8/CGHTFIQl221jEpkAe1UwN4/xgd0goYCiRx3RvAzHgDC0vnuvqB/U0iw6PPOWYdvgl6zMV5dpfncTxHDKzdzzGJGAACfJ3Mnfm5WyP8AnL5kZ6oohDswyjPgznBjXi33h+VGv+gVwWg4JjBW9C2KaqO9shhE7AOzAFP/h/GXqWd2+dFzr8vohMtzWnsapMdmS934vX6WKQuPq2X6R03/21WmrjqgYjByROau3C7lg9kTweTMZn/Op2hS/UabbpvuRYdzR3bMoX0Z44Ga8T9YQwREUdTbEjL70IJDJxeYQxH574nr+KBAHfWjXApJschKvGC5tWhCkn4HmDA+i8a3pmAdUAaH8i0w88bGYUom1qZD+JKB66h1LyAi8IxiQyFtPLYqHYMpBCSo2Al8bFT3ZByjqv0s8PrYVJfza90BWpg8Ctd3vrg5Qp8dRqOQcrmTBUvJEjgdG2ZRkgTmp8RUDAhkVf2w66cRhThcumui5dW7PPdYdzw1Cn7s5eH0c/2u3emwlzVIIkHtBv0YDyzqiFr8AkhY6BcokbKAMPDwxnyosvtbHBtQFwCmYb5JxFlYE7p3S9rNwMyG57wNKYFTkSqJmZ6gg1iJMJGzIfogYEFn2F0SwVHV1mcqlvCa8a4n7X15hQGWi3dMnByHIfyN5dw+nqJQPj8GCI4BJuXDbY7NqbeQnq+OfbISLuUjYKWNzdqe9/8ADMu35waLemLdXfzI64TEMCxqBJJSesFVfVFljtyHAy058b51o7eGiF1SkXdEpn0CxvXzb7eyqqC8ruZNf/pY3f2zSoAS1W70qE7yuC0jTUtXBkQ0aXWjgj1Qxw0+Jtazpito60k6YiUjXy3MmY557KSoZRuZp/u61xTpMTqp1K9Av/eCtTA4N9bofrzA7YCn6mAwXSEQ05SGn4DAwMHPvPnJn97DL62H+cAg/M/Lt3zmkWVv5/5cUCBm89g8K1J4G6B7hdASJd+AuyDl2Y5Zf5262F3JYRoSLUB+WKMPEaMSgPY8ilwlJ4hx8ZAkWN/mm7UucPfj1zwuqGTwwBizNxsx2FqjJDHAD6eMfatYLHTPChIiwWAcZQBTxcjSCSEzzGOGBgEjgjDh/f6lUogCgXE8zLf/eNGyiwzb8L0XMeL9T/1e/psJGAWXb8z+1Oslh48t1cPNOjTcGpUceBR48GzTuTzIfu1x4BljpX2npe9CVgjd3eEZ8E5SQ28Up8MkLbq1s3JNRiS9p4rbRnKhkGALvM4uCbWg2oDwMuq2zen5DH5+/NSTph9uIcAOoAD+5m7gXdtbzoBaSo5unyzBAWlgY0Sx1ZzipGPjo3N3WpM7pmSz/fxObZTSoYd052nBAr+nLQAG6mBmGf1N+qRfF+6hYzc2ns6rgTja2BwwB5jM+JANTCYEbf54LjI6YCBDTrG3SAAw98NDFyyyJW4NJH9DRZ4n6gBPfHOv0y6+aUpk5s8g9lt4SDecyjf5YpJqNsdxoGHrvkCHlvW1RO2xmATJk6dvmychCFK6eU5VS0+in/EIo7MqgRKD7U9IhQW6eE8RDLcRMmpC16Zk8ckSXJDXI+rJ9yIyKkOe7XMjTA/14F3zjVAjCPiwHHWrLsnlSNXSyNrU+wIYw1wcnUFc0bCmRQBc/+1ke9qFsBgefYlYAxG3kI7rAJhbq7LHQSfMfq/1AswWJJNmDg2gIZxVqLkPetCcJ6ITNw0Gvl4mjAB0jDyzM+aFJybtMX/397Zx9hxVmf8OGuzdtbxhnVsh02cxCYOduJ8G5yQQpImkDaUQClqRdWq5Y8K1KKmrVr+qFCRWgmJNlKrfolKVUGq+iWhpgQ1JVUaElKghnziEKc1eONsvLXX3Y3X9nX2enfj6nfOPHPfvTjg4IvtyZ6RVnf33nln3nnm7pznPR/PwQsCnhCtix/b77kFezcP1iEjiAvXTi+GLe0QxcCAa4NkdW+UCoYxjlJAJwaLz6rHelfJorSwHK/SwW5jTgIix5W086v9J1LyGHOsEgln53dHLPtNgEG3R4DvI0SlJAyZY3BmPPeaOIskBk28aw2d8+cqj4Hc/t/zYK7eoLBK5YplqEG/q1KhLGH0B7KZ3QQx+ILZQ3fdWEkiRwMluZhl7NkfQ0ZsWD3t+YxVLDH5kBgOcVw3EJWjmYxxDGb5PsmHamesWv3yIY3Rk1qiyiV5uLNqZkUMfZEbWufC6LEyVqdE3sdgUzGBcWXrrrQomyixgpfnguuQeJGXFo5Oee+D0b5oxoQQEsSgIzUcBkYeEowrxARDPmoX+TyURFmq7skQgSe4ypuipk9cK54RN4AVosKVc+M9kHgTpCbCJZc4oWA/KU0GuYsyPMagiQAxYgxzJJcEjMDV+zeMPDFfirtsQKTKGF6r7op1tYy6gHIiEgilY8CpVdZYdvYsWC4aB7WOAe9Lk6DKq+FztkXVmHl/d+sYVNoElDNqE2GBULiOwVSlY9AXlQlsJDoSwmAbcjqdWyJwYggkMTgxnHKvHiCgHAMdqgwpiCzwKmIgrQL2Vz4Bz1M+5zHHe4giQRBEFvAYXPWA2UPvvtHd6RglZXfj3pfBw5BohatGSCIGaB8QEsAoK+FM0rl4DDDYUhLkeOwldzpKhsTNS5c1sX2t/mUQMWxfs5vc8EmQp5SwhRgQ5ihbKDN/xjxrm9zDEaJBRytDG+WJGgMxwKAqRs18cPEjW8wqXcmHHJPVtebB+SAvGGX2gVSwkmcM73GtpRQxc9Y8Igyy3OfGGLwXyhNQcyoIBZs8NGpuxfwov4R0gTXGXfkLEApwpk02+EJM8M5wvxgDOeBzxkDl+Ew5BoRR7ph8xA2wBItok+xGnk2iRngCii6d2n+egBF1stUYlQXSIIqNpEOOyzEw4CQZvmF6xpbi+qqIQTlGBp1xbORIoD3RrVNASaK8EeqroDyIMi+BZEQqItBc4FiEIMAv1Dv7MvmwB8+vhXSIJAYL6W6f7mu9pSpXpJxATXl4cLIa22e277nwFFCKSNVBudGE7vpK/njiBbM9c9EWwTsuciyEDXhwV1UJD22+0UlB9CCIfvcYaDa5YlVTr0QvVsgYFdz16AtgDFkpl9oHMuIqZ8Pwsq9i5xjfaOUcuQ1uNOyoGzVe5bHgoY7BI0YPCVAzHo0pEwnJUGcfHvQoLXIuEYeSoGAwyGPAeGrVLEOJQVc/ASXRcS7mo5wLleSxnxpIgQ1kSOWU4aWYc+MsGWWul89ZsdO2GWME1iIMIRs8WyfYxXnDCou8MQ/uh/YV5qU8cdSIBGlRciJjVJUg7KQvwDxvswe95wTHUbKk7jv7K/nT8wWqa+N6+OFsrq5oK31u+i7wHQGzuLdt/36owoVrx/uiplYkVoK35J4Zo/NE5cghxwIio6oWaVpwHlXSSHuhzFGIeow1fvyy2oTjlISQc/6K/e3p/u/P8zcIgSQGDbpZjZ/qJytigAgRfeqJ6dL4CHtN3PsRs5lJsx1TQQ7wHih8cAv9Eu6s6tV3mM2MmC2hAdMdVZMfjvNCVQb5e2YPDd/oyXH323v8Ic7DVtUAoR8QvQEUElCmOftKTEj5AJJDLlf03Av1T4iY+yaPiWNQeEiXbn721diyzTGr+iAt43Xjptg3/MsyjhhLiA1kgjAH+Qz8rXi++jOUYzBthAiYG+77F3fHSt0D3pT8n3vIRYfKUjewUBtqzweYuNy1C9gQRxo874Ct7t9XJ3XKa6FkTHD72tzbXXJ5bnaxj125ZqKWUVbDqZIceeJl6y2uj6DtDUvbtmZwvDa6pVeE+RK6+e6+S0N/QdviWS9vRIRJ+DE/vAkqKYW0gAfXyHehNOIcF0LFvVa1CeQHT5AEpRjDfYyE0TV+HuWn6L7zvaJ0FUKBt4lKDa5bRpzp4lFiblFWGcSAewrmjNlq33AiyXkURtHcOL+6RSqcwzEIwRDmwtMlT5GIFOf8M/t44x8feQGnDoEkBqcO6zzTHxbEgF702D+MOV4DXreFi3dil9l35jrKh547ADGg+yLxU0gA3gH0EOi4iMdA3RWHzWY+bXb/4Ls9OU69DHioY7DZlLiFwdFDVk1/lBjHq5QRMRZa/ZaqeRgoDA2rcgyBkulU6VA+mNWTINIVo7UwYzmPSiDVbU9kpVRBZEXKGHkMIAa43RlbJqKJkEBSlByoyget0kU+RAoUu2eOoe4366t/iFU5puMtiZ4HIlYkcTIPiAFGUWJQEJYo1Xy+3rfUeJBOgNpUK3GOlTQJlMrX0D0SHpHrECEilROGYT/iREcEhHHX2+NOAlj14z2SOiVkgQ2vjbozKv+D/UUmGMNqXg23OL5aY0u4CizwJpAQCTFgDNjJEyT9CubdCb2EzgQEgDF4qfAE4WmBmDAWbwH3gY1rkTS3MIRMMIbSVsgEc4RoqSyX95kb21/ab+XzJxE4YQSSGJwwVLnjSSPwuYIYEBbA4iMZqzAAvW6I/Y6YzYyaHTxs9vxc5BRcBzGgQxIxYQkh8TveB8iCjrHWbP9nlntvAB6SPDgxUKz+1SuBB6uMNq+s4ondsy8bxoYtIuZRsaCWvqpZ53OMk2r4MS7dJZC49aV4yEOdjeTBR+2dfg7lG0g0CUMjNUFhjdEXgeH4GF4MaRlKYJ7hgo/VJK/yTEjYh7FsyrNQDgHXw6oWr4USAXkVgSkz28uQikIznI85K5QQFQTLKt2Hs+uERq6Nc0gaWu505UIoZADdUOhF+RrdXQsjLLDGwxkq7yznCRZaqWOs8Whg3OkZAVnC6ONtCWIQbn82XR/EDnJAuSqiTXgaWI3H9+eoG2yIF9ekfg46JkaeMeDQnTuie8n9EqkCD8YgQIV3ohShUvdI5iZ9Cnl1eI/mWA+07nDPj5pSqRqFzwk0KEclicFJP70W1AGSGCyo232aL7abGDAdQggYdbwGlMRBDPAejJgdaZl9pxUfOTG4oSIGyhZX4xv+JjkBr8EGs72fGfSmQzzYMQgYYYwX5ECrYhlQVomli54pSehG7l4RA9y8eo/9WM3FynVZ3QKZmDJGRUYhPA2xwmbDAGA4MNy8p8+0H8aHebJptV4mm0ngSMZPpIC/dSxdk1bTHZKxuO7vgEHFiGAMMZwYEQwX72slrwS/mItS9gMfGR1p+zMPsMBroPJLDLhWyLxiBCFYIle8h/GTvoQ8KKXBVRiFeUreWqWLUg7ESIvQKb+B+62ST/BkFQ0xYCXP/WGFzTyUD1ASA5FIVvjcK4gY1wtOzBkyQ86AVCe5j3HMbX5faaz1LbuyThAVAZS3SR4aPAbC/Sv2Tid98rDwGl0fIpdBuSO8A4bgcZ/dZffP3enKklSO8L5yNhgDmRGp+rR98jT/8+fpm4RAEoMm3a2mz/U3jhNKgAwQFoAQ8Eoi4gtmI+NRacBb2HwEjjfgVZXHIJ7k4S3AZqmcbIPZ9H1mnx34JUdLK1MMjAw7xkyleWRzk0H+QN8dvmLDqPIQ5nPlFkgyGQOgBD0e9hhpjIZyDTCePOjVZEnn4ZUVNiI1X+l7hxsODJgU/8rENxlcjq9YtLLso7piuRtezb90t/OeugsSf0YngTEYLFa0zA+Dpmx1aerra8V1YIggJFrRYugkC1yugOXaVumgSAyYqaoAgy3ioHyETk5Hf002FCIIDwx9IDqqj4zH6yIvhlbq8sSEGHSs+JUYyXjuNffr2skdtgg9hRVmk1uWurHluzA0Fm0NyfpXZYFw8NI/vo8DZnuGh2oSANbMFdxi9R+Ez78zk9O2iBAXbSIPINAgAAAgAElEQVTWmU0MEOfqbP59qgSSqEQoNRM4/2h/eJ/iOiKhkY3vicIjSkg9f2TKZZb3bhz07x9bVGwcqatuRMhQXmRb0RfVK7klAieCQBKDE0Ep9+kNArdVxIByAiUfEj7ggare9bNBCnZXyYeQAggCqXNX9UfPBHonzFZiNMuq2u6X27jJzdZtMLOHzf5m+ENujClJxFDwoOTBzEbdN2I3S2EdeCz6zXbedKG7+TFESsDTSs/HVIVf57UnbGD7K544uX/rck8ai8/DEa/OfmWi4rlTh20JBKhltvfmQU8gZIuugbg5OluEOI7a2e0jNrAzDNTBG5bYl/tu9dW+2iszovQoSGXv0rnveFve/xq+2rsdsgr/iP2V/fhTX3cihdGi6x4kBfEdGSW55vGycCW4069sb/c6eLwAkANl5itfQhUNSEizUmWVfqV9yy+GlTiGTpLOCqVo3ngryM0gvPCW9n97ud/2wU3uL2EMcfZV41WfAb4bA2bfHl7vrn8vGW1v946CY0ND7qkI7A/UoRQ32q1pW4oqIlEDjgF5JAyFDgGVMWx8wegCqQ2yCfks9Qn4jL/JZeFz9fLgfWkXqK2ymnnxVeO7qXJIzs1PucEdyLWRB0znVniM8+BN47uuPhJ8Z/mf4Vg6J+fhf4pz8b7aQzMHFcfcc6w3/8N5lAWBQBKDBXGbz5CLvKPLY8BDqyQGPNTaZi+OR1WCFA6pTrgQr0G/2bKlkXvw8lxULEAMRBYOzpmtw6twn9kXNr/bCQFGRGWCQkGhgvPmJmzFrujG8O0N690AhneAHIRYHcrAy53P+vT8ndWKbXP0DmDTMTmn3Lc6n9eYV8Rg/03L7WG7xT/CkLKy1Xhe5eE4p3U4xkyZtW44yx7sv70WHOIcrCS14i9DH7jB6bz3xOpNnmcBMaAb3+2th9wzIlEjlUCWK/Ew2hEyYG6QDGrncb+zUmeuQZqiJTBzwLhLDjoy8//HxzOGvItQe4xugcoDkJIkr7pHjOE4hBUYo8ZMEBj0ABD0eb7/Es8tYIx7YKpEQIiBEhZFApVIeP62qZBZhhhI2EghKBnxcB50GnZgYCuRoPo/h/dEJkojXxHUItLSISAy9Lxy7pKAcGCIhkiAIjWcF8LAaymqxP7MVyE3PoMQSDiJY/G7NBpEJDS/jycxOEOego2YRhKDRtym18kkP1wRAz0QeXhBDNSzvmqxPDEWSYds0mu7AG8AD9HFZgcnzCbaZGqbrR4yW7TU7MiU2WTL7EK8sfeYHfzZJbavb01deqgGR6URLuPGkhZW/Frx8VKPgLGscJVDELXpb/R5yqDKxV5q8GOsLhidDI/BxkEPQbC/EhvlLi+T+85pH7KBHa+4IZjeavbwwM11lz+5jAkrYFwViuB9ku5WtiZtbOD8+tpxnytJLxQFl7sDPuL9c3XSITkAZPGLrDCfUr4Yg032PeRFFQGEDaLxUuRMcK38Lo+BkuXAUU2llLDIefBERJOl5V5WSQiE85A0CNa6Ngy9X5tNuCeCeDxhD8gHf3Pt3Beuy71DPouj7sFYP7rXV+USC0IIqBY4qkJRiA9JzAgiIslkPCqlXLHf68V9LiCk/gWuPDjxSsS9+E53k4pX+/dVd9HqFXEi5ydzoYhYCi5JptnnrvOUng3e53+mVGvs76ggLhpKYvA6eYqekstIYnBKYM6TOAIf6yIGrNRot0uyoVygLbOD42YvtjteWnkM1hB+gBiMme1rxwJuTSV6dGzKbM+k2YWQh981szvN9m4Y9OQxJWQphisvwPzuigfcqEnTH0Mqo1QafsbQR0CrZikiltK+3eV1hBfWj+8NYrAu4sLsr5U+x1L+g74pNTEYN5vZavYfg/OJAd4C5qpMdxlCDDeeEBo7QVy4DnINyJ9gf5IxMagXWbQz1sqauRDaeL/da8Otvd7SV/kMEgGSMBBj1BKY+WKCy7LGEAaKjo1cG5iBicgJOKNYCDGBDFCCGbhf5gmdEAMMOp4X5XowBk2Cy6Z22bODG+zz9kEPIYgYlMcUwWKel9sOD4uEEFXkT3A/wIgNnFTBocRLlWLyOWRG90peJJGijjcpkjEvGJ/0Ly0kA/VDyIWrLFaqimUPBt1nEZBDg0vdA+S5Aa3DPhZSIknjTl7DUf/c5zYQvS5cYKk1af3tOC/vyyvDfWLLJkr5DH4tCCQxeC1o5b4nh8DvV8SAlc5gtcLBXU6YnXgqLeOnzY6NhZGXPDJeg0v7zFaSgcjqasJs5qDZEsVweUUOlvcIJfyJ2XM3X+yGUV0L5THgwat6947y4awbGVavfK6KBZXQSdlOFQAYUPbDyBLzZn+MnxLiFIJQWRrnGxqZdjfvtzeud7LChmHW6lzAYgw9Vj53xFa8MOO47LlmyMcwH/bnuGoGhdFSoqCUDaVtEAY72juDA4SAV4kqSaERt7xq6iE9HF+GX8mHIY9MUh86BxEUUK6B5i6RKF45j5T8okQRxcTZKpEu6v7J1yDpDg+KGjhxH7ieaFQVKhFqiY2BH56ctBeGVnnJJ0mHKquEBJDMyb4RnggdBLwMZOeXjbDk1WHeMrhlaIb3uxsSifyUhE55HezrYamxqkl4tWqXPLIfb7bWlooeCnNmxwY6XgpCNvI6KeRSepBEQsiTkUdDMso1yShaRus9eTUy+fDkHl0LbXQSg4V2x0/n9apcUXFR6RgoyYqQAp6DMbMjY5FkiPQx+WEkHnq5YkUC6nixrkcx1U1mk/+81D5nH66NPLvowY+xUAIfBpTfMbh/a7/oxpfY+nvtPl/NhizwOjcwxLyVlIhx5OHN/vzwN79BGEKbPtz7GKo6ga7KWP/S1pvtj+y33ahyHqoFMIqsfBnL38TpMQDqzLdt6GovTaNunzno/JK95TpUScHKVcI2503GypKWxyJGGGESDEVyeMXgrm2Puouctr4y8Kq2wACHB0V+kbg2SRFDYnCnH+qP/grgqRwDSJHyEtgfI628AYwlK2VVPUC0uvMFRN7A45ypGTeq04NmowPR5ZEqBsaoBwbXyzkkKww250xN1/0G1MZ4XuLmHMmo5DJE3wLmpJW2DLJ6S4CAH7MqQ33j3IHoiaC8g7LBx4DZ/tWEe/rMPUCEG3D3832HHKyJNtFlKWin9DXEoSA6qjAgmVIkg1d1gCR3hFbY4KH7CsYrJoJY+jk3ZijhdD76mnbuJAZNu2NNnu8/VB4DxVZLSeQyqaogBt8jcCRioAxvdcerVmHoGOz/++Vu6HmglqVfsRIMXXvcwjzg+cGQfdZ+2Y08K8z32hcLYnCJexhEDDieVuQiBpALNPkZKxLCas+NeGsyjEbVR/qfN/6k/bH9ps/rLvuiZ99LyQ8DEcQgJJVVRfFk37X2oN3mxorVPSRA5+FVq2ppNMho8YqBeKnvXE8SxGOwwy53YqDSQ63OozdAhCfKlT/vqXGS8BPpUf8HJfwReiBJETypLpCOv/pAQCb4XcfhFUPIOTmPBKNKHQP1ICjL/Y70n+3egmjmxBHfVHsEMPi8ozwQSJI8LBKuUmOhch4SvAIvyBHzKj8vyVt3HwiRuCVdVQcQGMoWwdPv0dThyB8gikGIYbXZ7tWrqhBClDdwj6N997J595VrUGVHGbZhjHp8MEZhKYUXvIkT29okBk1+dJ7quScxONWIL+Tz3VsRA7KuyQ3g4birMpqUDf5n/E4fBBL/eVTiLeD1ZpIM76pKsgg/YF9IYqSdIq/8zQ85BnebPb1hg69EQ4kvXPCSkuXhq5WfVt+d1sMhVaumPzx0S30Afseos0ngKIxzlER23PpxnHg/Oh+ysZKmm6EUB7tX/7jApWIo1zt5DGpaJNU9zqNOiJISVrkkRg7jwrm4VrnBJcOsFao8AGWega6D8ym+Li+I8hjmN/TpNIiKlsch96wwDBh0qx12/wvID6HrLDUajvfvEr0h4h5iDLW6Z55stZG3udp7wvvdCaK8h6+FY0gjIPofzG+3zX5SilROh+5pNJiKHgtltYgwB0fNS3OD3PF9UO5Ld54KOGqMwhUKIalbpbxSfM6+zE85CsqF4PvBnNjeZw8s5CdPXvtrRCCJwWsELHc/CQTuq4jBRWbTG6rkLBl5khDvC+O+bySKFaqIrZ/wXRCJX6iIAXXp7IBmwYeqWnCOg/w9+QuE8DebPbf6YrvXfrqusVfHvJAxpkfBS3VpYajusXp9o+cO8LeMPOeXeE483IMYyGDy8CebnjGsJnnwlx302LesUig1DviM8yivoUxoK0skicljDNDhV3dFqfvJaOlYzJW8gi/aez3Pojy3zoOBk5Lggfa5dujAOXbueQdsbR/liEfqVtW6XiUBsgJnw3Qya8X2GcO55NYvVf5w7auSQSvx0pUv0lQKSoU4VNvvB94BYV3G4fVNFGbyDgkPxihPofzW6r7zOT4M5q2VtpIl+a6wycCLgCj+H1i/XIeXyr4b+i6V54zOEh28lOgKXmX+QtyXSOZUKEdy0sxb308RVq5ZxLDERroOIgb32CdO4h83hy40BJIYLLQ7fjqvd1tHx+DgRUs8rjvwQpTkuRwyixpW/TvNRkajVBFvAQTheioSPlDlGPDMZj/eu63yPuBxgCyQ1Pghs90bV/lDHyOq2CtGTa5xjGIpRsQ+WiWrQY+IAQ9Zudeldld2QGQsxABjGQqLkaCnlXCZ0KjEvfI2YGAUr9d5ytW/uvAxdyoaIC488OWix1jgxmdT/sTjtiX6Rcytccnc7g6FMvQYxxgfREjVEaUB1FwVslAZY5R0RodB3uMYGNnS1a1yRY4N5mHsolU1eHNPCI2UZEm9EnjlmCqHJEzB32pexNHKRL2QhWZMhDT4TI2HwrsQXgZJM3Nd3Dc8S+xX5mmUCYsdIz2/+oJr0uq/TGhkxS91SWFXVhVInVIelhKX8nsR2ptvqNs6c32lV0YeH8aIiJVJlMqF4POURD6dD77mnTuJQfPuWWNnfHAumhORACZxHl/lkSiF0NBXK9U2JGz5aZsdmzA71DJbQbUBnRTxCGADVcNN6IC8A2q7IQvDZrvuPt/zBXgwSlceL0GsZjsrZckX84CV67uMs2MoOAYPW8IGyswv3ccYIlaT1O13exlw52PUMDqECDAepVtZngSIhPIKCBXIUJGEqFp/uejLVbLKIrVCZi7R6fAle9hu9VyGsYlhW7MSnUF6IUSvBMXh1ZNBBldERmEW5VJIf4CcAq3+ZZBLvLpXyFqxR0OjaIcsAkHoBuLmyoeeU9GuGy9BJtSxUQ2ZIF0oU/733FtsuG+s6kD4Ut3dkmvneiBG3CcISllxgKGWJ4g8Dkof2SCOkfB4tA4HRYcCulYurpIpI99A9ysMceSvQJYw3yJvfCY8teLnvZJkKgeEOXEmYch9lCS3yKjKEWXko4HU6vraODZzh+xw3NJ7VOYl/IF9qrHPjZz4qUcgicGpx3zBnnG/nfOq175q7HAo1GHgRQwqMZeZltkSvAOEDiAEhBUqsaNauhavA2PXmj199wb7ot3lD0uS+3gos9Iu2whj2DDwGKAgBsuq7ghlvTtVC9EWV8l0IhsyBqz2RQwwSDIQGBW1O+6sml+uiEkQJLn4MY7U7bMCZgw/jGHuEAP+Ji+BOR9PQEkCRhgIySxDjO6x37GxqTfZ8OD/+nWUsWjJFzMHkhGliaBVNefFyIZHIVbAIYn8/LxQCkYN0sLqP4xlrOKFZ4giRdvl0tVPSITrUgUB167r4NopV4SYgb30D2hAtb19pa3tH3XDrhW0cCfhkDmzvxpASaGR9yih5BVcb7cH/R4gaY3XQM2xwCMMatwrVVmI1IgUyPOjfBS+BxAK7jtkkPPI+zO/kiFafes7x37lGFXNgKM8WJxTcs/cHyWIypMhYSv2kYclSNlhPxfbJ1D9yi0ROEEEkhicIFC5Ww8Q+FQVSgirGJuqCSirIhERMjASeQY80ohoE0pACv6CSuXQyYBKHqVpLzU7PAt/bfaldTfPi0uzymIlXm4Qh8soDaxV+SLHABLAA5ZVNpn0bHrYYzBZySsOr9gzRo7VH8ZMoQQJBGFoJAvMSpZ5lJn/eBOgLTzgOS+rY1zsV81t974Hu4dXGaEBGW0MTRmekBeEObFq5ngQIaSXY/Uchh8jqSZKQQy2u7FW/DtIzwseO5cxZoyMI9e1zkbcaJabYtvlSl1xdvDQtWsM+4fhjNBCGEcaPBEqWO4IhJEPUibjLtd62bgpfDqhscAYtTHmmBhzaBb3ECOr3BLyNdiXbdQu8nvLJlyVjMnfWtErhKT9dC0KgahMUNem82s/9cDojJut8wg0RjkICmkoiVPzUnhKx5DQUukxEHHQPdG+H7D7e/APnIdYKAgkMVgod/oMuM4XFwUxWNYXPQ9mZ80OtjuVB5gbSAB6R6qy0rRx5kqqnn3Yl14J3e9daWaX/7nZwY8usZG+S9ylHiuseDSXcVmMnDwKYcii/I3VLMYCIyOPgh60IRv8mBtP1d1rnJocRXfF6JCnJLDL288aXft2rr6wrpQIgxuNkWQ8OyvRQ7Z+ZK97QQ5uWeJdGWM1GEZeLmdVSXB1Kj1c0x53xTwZfFbaXJPmifHFvc+1q8ICnHnvzvb9NjD2iu1cd6GvpmVoeJWEtJIEGaPqCLQMvtN3aXVty2p3OmYb0lPmGECAaC/NZxAYSjG5LmkthPLhdveWKLGO8cwX4sPKn6RSKTIqhMPnnXLIEGCijPTip/YHESX/BEIJCdUXTCGpxWYzK0IbQGqEXJ8UCV1wCl0AvqP9oUqI7oOEiVynYDx0EDgOn6OLsERlNRWRlegRvR9o5IVaIYqIEiuCzHinRoS+KgVF9kUjAjLp1ROtKZ8jYyit5DuDZsWiqn/C9ADXcZYd6A8pbLZUPjwDHoANmkISgwbdrKZP9XERg8qocz08n7X+1Ctl3t+PGKi5Es96CAMEQWThKioY7zGb/qjZ8wMXu0HUihfjVm4lMRBxEDHAFY0hVLMe5Qaw+rzWnvTVvYwZx8VjoCRHjeFc0k1wwZ3WYe9hwCpVK9hyjCoZJGhzeWuHd4CcXLfUQwmM4TysrMtWzWWvBLwZzFsyv1wXFQr8aHXOZ3gVWDlDXlSdgFF9m20zRHtotoSqo/IOlC+gXgTKnhchgaCU5XdKMmT1r0ZWzD9W0nN1TJzroTsj72uFHDkGI+45UJkm14i8MR4N8IPsRFJipwWyyIbmzJxusS/bxc/sj9suT1PZBEltu5eGEiFGWi2RGUL/BEiWd2qEUCBvXBhsSRYf73OMvhtriR7Ru2BxyBZjuMv2y5Iy7m8fdQKpMZAQyAoyx3hM3HPRmp5HDDzXYWra0FHoJhMiBhuqKoumP0Ny/qcGgSQGpwbnPAvViBUx8FVVhYiqDkqACB+w0Co3CIBSwEQMvLtisRPHhBjc8mmz6V+Lh2mpqscKv5MB3u9ucVamGHll87M/ZEIud7nvVULGKlaqenJTs+oniU1JZzJYaszECpgxyk9489RuX1E+2R8JeJyjNHIhiIMiYSQf4lpWljznURIdryXZwUBoDOEISA4GnffC0B6yS9vfdQW+1sqz7P/6V7pXQcJCXAdGl3kHlQh55De3dtnSMbNjK832DQ26l0MaDhqDAcfrcY096WPWzT0fks4DZntXd8ZozswNzwVEC4+CEg6H22NuiEMoaZnjQw4ARlFeHWL5kADlblzS2u2GVtcDqSMcxIYXAYLFxj6s8qmGKTc1SdJ75efMRZoBUh5EaVAKipIcdhI4O1c3WKqbW7WPVueOxkvlxlidqzwP5ABvgubLGMaWZYkSaVIFSFmGKhKr5EvGp8cgH8GvBYEkBq8Frdz3pBD4XEUMMOBqYz/vQVn9URIDjD+bvAP8/mrEgM8IJbzr02YzH4mVFg9XHrqsuJ+1TbWBwfjSSEjEACM/NDZt+4eX2zZ7mxsmqepJUAeDSZydBD+M/FbbZleM7nLX8eODV9e6/d2rcxEDDDxJc1c8tcs78O3ceGGd1MgY5StAXnjQYzDlVn/r2DMubfv02g3uSsf44epXeSBzk4sejwXzl3F8v/2LSzZ7gudDVdMq+k5sMZseMts+sLkOi5C0yDFRZfygfd4zM1Z99XCUk66LFtC4qCEo0W75PJ8HxOY2+w/7OftH90Z4u2OSSN9kduzHzF4aWur7R1+EN3p3RPAlLPNz9k/uQVj/3F6zJ8Plf+yGkHLmGhijPg+QGAjLz9jnPX/g4uf2hzAW3oAbzCiDxdtB0yg8ByQxQiLmEQH3t4SR7taXUBmq9i/Fo/RZWY4pdcrjGe6y14ETk+qc3WWG8Vnsfbxy1vJ83SJVXEd5Da/2D5rE4KQeXQtucBKDBXfLT98F/6iJAYTjOojBPWatj8XqkBgsD1wZMmW584BVAp5WnvQ1YHWLm1qlhhgv1cCLGGiFi9v96vGddnDlEnusb0tNJChdZCUvN3jHY/CSvdMetSue2eWG7Ol1YeTLZk9KKFNmPp4MDOEN40/7jfvm6s1uYAlyQHZUTcAccZ0zN4gBng86HGJU7rL77N32gA1P7bcl/x7JnbYxiAGeg+39V3rYAKOrhEX2f4/d78da/9jeIAbrzSa3LvVzBtG6vPodb8lKe4c9Gt0ZMfJP7Q1iMBzdIScGB31/SARGnvuBN4AV/U/bve4RuXp0Z1SmDEaraeSEmRdj8BaQj4DYEZ4JrsnHjO00e6RqdbzVbO/woF/HY3a9XzseDCUaanV/vJU72HZ7EtxgVy2WWcWrlwKEE6+B9md1X3oRjteHQcfp9hjo79IDQe+FmpgsPst/lVeDnAa12xbZUOmkVBBLEqK5ZCjh9D33mnjmJAZNvGsNnXM3MSiVDfEMqFDhtXgMGKMcA2BxYvAnZvvvXj4vpq4OgxADZehjYFj1Syxo9dSkjQ6e7wmLSmxTPbzK7zCUGBpW/+6mbj/riWGQCcZAKDBMpSwwxl3JdFvtG3bdyA5Pgntk+G32P3aZr7rlYi9j88rMp+PhTZNPePz70cEb3agyL/oeYDClCigvA6t8DKjaO99p93us3Zs63Xc4iMGGWJWzkn/KrvVSTuZPi2aOiZG/1b7sHoPrdu4I8aj1Zns2Dzl+36o8BvyuMkBW/3gm8Bi8deSZMPLDZgdviCY/kAl1UpSR59o05u2tr9tStCwGg4Dg9WBezI/zRPnnGg+L3GoPe+7C2+e+ZisemHEPTOums2ysf9ixlMeA697SemJ+d0M13NL/kb541d/kAYB1xzibJwkuqnIM6oqYqp0y+6mlMh4qbRAGz0sgclHlFxyv9XJJAjxhkbwExhRdGjUOAiKyW58HKe65I97MSeEHaYXIS3EBLUlzSwROEIEkBicIVO528gj80/fJMSiJAYmHIbzb2bpzDEQqyhwDnvcQg1s+Y7b3I4OegEesHTKAgcGAhccA0tDvGe5b7PGaGJzbPuCGhVUzBkjld6y6tPrHGClfwOPwc896kyLyEkJelxDEm/z4IhOEH2Tkr7fH7bqxHTYzEEaeeUnmtpMwGE13GKNKgK2tbzgYjw78WOXCj5bSKvWDHOCjKD0GkCEMA8SAun1W2EP3T3eIwZYOMcBlDzHAoHJMQh4QA+Z+3eiO8BisNdu9YZXjIqKllTzvbamIAWM89IHHYLXZ5JaOkYcchKbAZY4x18jcICBc49LKYzB5TYxhXpAQxpDXAOEhhHBLRQy2zm2zFY/MuOGFgIz1hZAVAkrcN65h6+TTtqibDMxPM5j/ZSsMsj7wVsll4y6qDApi0U0m+MgbJpXJh9Vx+Uz7q0Nih0zY9xADPlMSokJjZXjB+zZUCYkKnzFGVRP8vup7/qNO/v85j/D6RSCJwev33p5xV3ZsZZQrLqJsjJ9ZsyMjZnuKrnQYfHSKKFlULoJ0DC6tvAMkJqpcUcRA+145YHb235s9d9fFtVwuD1EMikRvSmlcDJNEeVRPLklkCe6UoQQp9YUGP21xoztjGPgQAtIqXslf7AMJYX/1UpAAkvQRMMplu2N0DEgalAofq3A2VsPyZigJUTK4dbmijfs+rM7Zft7+zn5q9KEo00MdErzJF9h0ltGpUI2ZCE+wOhcxeId9xcnG2W1Wo6/YgcHljiPkSqSHMXgZwBYycaf9a4jxkMXfMqN0bt/Aqrp0MlBbXoVQznNigMeg7jyIAaZ0sMrGZ4V8qC/QxisDISEExBjvNElpH4vhAbM9w+HNULgoKhmetaFnpiOphR8IAd891bmCBa0v+Ox4hl/JMFQvkMeAd4E5aky0zZi/6VyM4VwQAvaTZodeh8yOXRRVCpQfQiT4/dBAeLu8/0KbltZR1liTG52ba+FckJTBwGwJn4mMaD9md012VzzjHohn8ISSGJzBN+d1N7X3LIqHJMqF66sH2H9VfRJ4wCGBPGu2ZxID2OmuCAkgV+4qxlVtl4+ghrjYbInqw6fNXm6bnV0JHH1z6+Z5iVwYFnXhU4WBJJHBWTkFvtKqksQk8iMBIV6VfEiiX5mUWErw6r6xvxToiLtLElly0DoPxEKNgiTig0FWkiPHU7KcmhcxNxEYhR/kMWCOGHuMPNuv2l/Y1fey5C9q+YejDFLnUw8J9ZbAyCuvYc/qMLgiIOrjgFeDeT9ot/tcGPOB8X/z+zi5NnIRlFTHqcueDxh4SBGG+4ptu4K0bDLbu3bQS/KGRqfDwPE+P4NmT2zd5J4ZcPmJsUeC5KyJBEoIxL6+aFeshkhe+jfySuwnY80r36OLqrsE3+L4GFFeZWgx6mwy4ihtMkby2xpzuBqrm159j/046CbxfeRYkBd+MOYay2fXBHmS4W8NnmXP90dDrk7fjUrbQGWWsOaSmEBYNpjNDFnoJuhzzqfynl9IYvC6e57+CC8oicGPENw8dBcCd1XKhyIGPHSJKWOztJqbNXtx/AcTg5lqpbakUj489gOIgcR+VH+PwSp7JbDCLhXwmHkviQHub57pdMcAAAPaSURBVISBZFxLZbpOuaJaG0W5YlmX/4OIQZl82E0Mft3+1K64F1nJihiAGS7+VyEGzIfcixvGnvYV8qsRAwwXSY5UMkAMyEt43/i/u0Hn2IQCSqLl6/65Qx4jV44BuRcbt+3+/sQAAwcxuOn4xKC1OipPVOL4qsSA7xvbD0sMMOR4DI5HJoK9xSajjbcAGe9uYsD1sE/V/+OHJgYiLUkM8lHbYwSSGPQY0DxcIpAIJAKJQCLQZASSGDT57uXcE4FEIBFIBBKBHiOQxKDHgObhEoFEIBFIBBKBJiOQxKDJdy/nnggkAolAIpAI9BiBJAY9BjQPlwgkAolAIpAINBmBJAZNvns590QgEUgEEoFEoMcIJDHoMaB5uEQgEUgEEoFEoMkIJDFo8t3LuScCiUAikAgkAj1GIIlBjwHNwyUCiUAikAgkAk1GIIlBk+9ezj0RSAQSgUQgEegxAkkMegxoHi4RSAQSgUQgEWgyAkkMmnz3cu6JQCKQCCQCiUCPEUhi0GNA83CJQCKQCCQCiUCTEUhi0OS7l3NPBBKBRCARSAR6jEASgx4DmodLBBKBRCARSASajEASgybfvZx7IpAIJAKJQCLQYwSSGPQY0DxcIpAIJAKJQCLQZASSGDT57uXcE4FEIBFIBBKBHiOQxKDHgObhEoFEIBFIBBKBJiOQxKDJdy/nnggkAolAIpAI9BiBJAY9BjQPlwgkAolAIpAINBmBJAZNvns590QgEUgEEoFEoMcIJDHoMaB5uEQgEUgEEoFEoMkIJDFo8t3LuScCiUAikAgkAj1GIIlBjwHNwyUCiUAikAgkAk1GIIlBk+9ezj0RSAQSgUQgEegxAkkMegxoHi4RSAQSgUQgEWgyAkkMmnz3cu6JQCKQCCQCiUCPEUhi0GNA83CJQCKQCCQCiUCTEUhi0OS7l3NPBBKBRCARSAR6jEASgx4DmodLBBKBRCARSASajEASgybfvZx7IpAIJAKJQCLQYwSSGPQY0DxcIpAIJAKJQCLQZASSGDT57uXcE4FEIBFIBBKBHiOQxKDHgObhEoFEIBFIBBKBJiOQxKDJdy/nnggkAolAIpAI9BiBJAY9BjQPlwgkAolAIpAINBmBJAZNvns590QgEUgEEoFEoMcIJDHoMaB5uEQgEUgEEoFEoMkIJDFo8t3LuScCiUAikAgkAj1GIIlBjwHNwyUCiUAikAgkAk1GIIlBk+9ezj0RSAQSgUQgEegxAkkMegxoHi4RSAQSgUQgEWgyAk4MmnwBOfdEIBFIBBKBRCAR6C0CSQx6i2ceLRFIBBKBRCARaDQC/w9tl3oemqOk6wAAAABJRU5ErkJggg==\" width=\"575.5555708025713\">"
      ],
      "text/plain": [
       "<IPython.core.display.HTML object>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.figure()\n",
    "plt.imshow(tot_matrix.T, cmap='jet')\n",
    "plt.axis('off')\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 28,
   "metadata": {},
   "outputs": [],
   "source": [
    "# plt.savefig('/home/katerina/catkin_ws/src/vision_based_fall_detection/heatmaps/'\n",
    "#             +subjects[subject_id][:-4]+'/'+reference_action+'_coord_map.pdf')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 29,
   "metadata": {},
   "outputs": [],
   "source": [
    "# MIN length calculation for all subjects \n",
    "def calculate_min_length(pose):\n",
    "    coordinate_num = 3\n",
    "    joints_num = len(pose[0][0])\n",
    "    min_len = len(pose[0][0][0])\n",
    "    action_num = len(pose[0])\n",
    "    for j in range(joints_num):\n",
    "        for i in range(coordinate_num):\n",
    "            for a in range(action_num):\n",
    "                next_len = pose[i][a][j]\n",
    "                if (min_len<len(next_len)):\n",
    "                    min_len = min_len\n",
    "#                     print(\"Maintain min len\",min_len)\n",
    "                elif (min_len>len(next_len)):\n",
    "                    min_len = len(next_len)\n",
    "#                     print(\"Change min len\",min_len)\n",
    "    return min_len\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 30,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "818\n"
     ]
    }
   ],
   "source": [
    "min_len = calculate_min_length(pose)\n",
    "print(min_len)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 31,
   "metadata": {},
   "outputs": [],
   "source": [
    "# subject = choose_subject(12)\n",
    "# new_action = choose_action(subject[1])\n",
    "# # print(new_action[4])\n",
    "# new_filelist = {\n",
    "#     \"cutting_data\": new_action[0],\n",
    "#     \"gait_data\": new_action[1],\n",
    "#     \"std2sit_data\": new_action[2],\n",
    "#     \"sit2std_data\": new_action[3],\n",
    "#     \"turn_data\": new_action[4],\n",
    "#     \"stat_data\": new_action[5]\n",
    "#         }\n",
    "# ref_action = \"gait_data\"\n",
    "# new_pose  = action_xyz_categorization(new_filelist[ref_action])\n",
    "# # new_pose  = action_xyz_categorization(new_action[4])\n",
    "# mlen = calculate_min_length(new_pose)\n",
    "# print(\"NEW min len\", mlen)\n"
   ]
  }
 ],
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