Siamese Network with Triplet Loss in Keras.ipynb

{
 "cells": [
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Create a Siamese Network with Triplet Loss in Keras"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Task 1: Understanding the Approach"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "TensorFlow version: 2.11.0\n"
     ]
    }
   ],
   "source": [
    "%matplotlib notebook\n",
    "\n",
    "import tensorflow as tf\n",
    "import matplotlib.pyplot as plt\n",
    "import numpy as np\n",
    "import random\n",
    "\n",
    "from pca_plotter import PCAPlotter\n",
    "\n",
    "print('TensorFlow version:', tf.__version__)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Understanding the Approach\n",
    "\n",
    "This appraoch is taken from the popular [FaceNet](https://arxiv.org/abs/1503.03832) paper.\n",
    "\n",
    "We have a CNN model called `EmbeddingModel`:\n",
    "\n",
    "![CNN](assets/CNN.png)\n",
    "\n",
    "We use three images for each training example:\n",
    "1. `person1_image1.jpg` (Anchor Example, represented below in green)\n",
    "2. `person1_image2.jpg` (Positive Example, in blue)\n",
    "3. `person2_image1.jpg` (Negative Example, in red).\n",
    "\n",
    "![Embeddings](assets/embeddings.png)\n",
    "\n",
    "\n",
    "## Siamese Network\n",
    "\n",
    "All the three images of an example pass through the model, and we get the three Embeddings: One for the Anchor Example, one for the Positive Example, and one for the Negative Example.\n",
    "\n",
    "![Siamese Network](assets/siamese.png)\n",
    "\n",
    "The three instances of the `EmbeddingModel` shown above are not different instances. It's the same, shared model instance - i.e. the parameters are shared, and are updated for all the three paths simultaneously."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Task 2: Importing the Data"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "(60000, 28, 28)\n"
     ]
    }
   ],
   "source": [
    "(x_train, y_train), (x_test, y_test) = tf.keras.datasets.mnist.load_data()\n",
    "\n",
    "print (x_train.shape)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "(60000, 784)\n"
     ]
    }
   ],
   "source": [
    "x_train = np.reshape(x_train, (60000, 784))/255.\n",
    "x_test = np.reshape(x_test, (10000, 784))/255.\n",
    "print(x_train.shape)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Task 3: Plotting Examples"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "metadata": {},
   "outputs": [],
   "source": [
    "def plot_triplet(triplet):\n",
    "    plt.figure(figsize=(6, 2))\n",
    "    for i in range(0, 3):\n",
    "        plt.subplot(1, 3, i+1)\n",
    "        plt.imshow(np.reshape(triplet[i], (28, 28)), cmap='binary')\n",
    "        plt.xticks([])\n",
    "        plt.yticks([])\n",
    "    plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "metadata": {},
   "outputs": [
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       "        0,\n",
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       "        fig.canvas.width / fig.ratio,\n",
       "        fig.canvas.height / fig.ratio\n",
       "    );\n",
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       "\n",
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       "    // Updates the figure title.\n",
       "    fig.header.textContent = msg['label'];\n",
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       "\n",
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       "};\n",
       "\n",
       "mpl.figure.prototype.handle_message = function (fig, msg) {\n",
       "    fig.message.textContent = msg['message'];\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.handle_draw = function (fig, _msg) {\n",
       "    // Request the server to send over a new figure.\n",
       "    fig.send_draw_message();\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.handle_image_mode = function (fig, msg) {\n",
       "    fig.image_mode = msg['mode'];\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.handle_history_buttons = function (fig, msg) {\n",
       "    for (var key in msg) {\n",
       "        if (!(key in fig.buttons)) {\n",
       "            continue;\n",
       "        }\n",
       "        fig.buttons[key].disabled = !msg[key];\n",
       "        fig.buttons[key].setAttribute('aria-disabled', !msg[key]);\n",
       "    }\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.handle_navigate_mode = function (fig, msg) {\n",
       "    if (msg['mode'] === 'PAN') {\n",
       "        fig.buttons['Pan'].classList.add('active');\n",
       "        fig.buttons['Zoom'].classList.remove('active');\n",
       "    } else if (msg['mode'] === 'ZOOM') {\n",
       "        fig.buttons['Pan'].classList.remove('active');\n",
       "        fig.buttons['Zoom'].classList.add('active');\n",
       "    } else {\n",
       "        fig.buttons['Pan'].classList.remove('active');\n",
       "        fig.buttons['Zoom'].classList.remove('active');\n",
       "    }\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.updated_canvas_event = function () {\n",
       "    // Called whenever the canvas gets updated.\n",
       "    this.send_message('ack', {});\n",
       "};\n",
       "\n",
       "// A function to construct a web socket function for onmessage handling.\n",
       "// Called in the figure constructor.\n",
       "mpl.figure.prototype._make_on_message_function = function (fig) {\n",
       "    return function socket_on_message(evt) {\n",
       "        if (evt.data instanceof Blob) {\n",
       "            var img = evt.data;\n",
       "            if (img.type !== 'image/png') {\n",
       "                /* FIXME: We get \"Resource interpreted as Image but\n",
       "                 * transferred with MIME type text/plain:\" errors on\n",
       "                 * Chrome.  But how to set the MIME type?  It doesn't seem\n",
       "                 * to be part of the websocket stream */\n",
       "                img.type = 'image/png';\n",
       "            }\n",
       "\n",
       "            /* Free the memory for the previous frames */\n",
       "            if (fig.imageObj.src) {\n",
       "                (window.URL || window.webkitURL).revokeObjectURL(\n",
       "                    fig.imageObj.src\n",
       "                );\n",
       "            }\n",
       "\n",
       "            fig.imageObj.src = (window.URL || window.webkitURL).createObjectURL(\n",
       "                img\n",
       "            );\n",
       "            fig.updated_canvas_event();\n",
       "            fig.waiting = false;\n",
       "            return;\n",
       "        } else if (\n",
       "            typeof evt.data === 'string' &&\n",
       "            evt.data.slice(0, 21) === 'data:image/png;base64'\n",
       "        ) {\n",
       "            fig.imageObj.src = evt.data;\n",
       "            fig.updated_canvas_event();\n",
       "            fig.waiting = false;\n",
       "            return;\n",
       "        }\n",
       "\n",
       "        var msg = JSON.parse(evt.data);\n",
       "        var msg_type = msg['type'];\n",
       "\n",
       "        // Call the  \"handle_{type}\" callback, which takes\n",
       "        // the figure and JSON message as its only arguments.\n",
       "        try {\n",
       "            var callback = fig['handle_' + msg_type];\n",
       "        } catch (e) {\n",
       "            console.log(\n",
       "                \"No handler for the '\" + msg_type + \"' message type: \",\n",
       "                msg\n",
       "            );\n",
       "            return;\n",
       "        }\n",
       "\n",
       "        if (callback) {\n",
       "            try {\n",
       "                // console.log(\"Handling '\" + msg_type + \"' message: \", msg);\n",
       "                callback(fig, msg);\n",
       "            } catch (e) {\n",
       "                console.log(\n",
       "                    \"Exception inside the 'handler_\" + msg_type + \"' callback:\",\n",
       "                    e,\n",
       "                    e.stack,\n",
       "                    msg\n",
       "                );\n",
       "            }\n",
       "        }\n",
       "    };\n",
       "};\n",
       "\n",
       "// from https://stackoverflow.com/questions/1114465/getting-mouse-location-in-canvas\n",
       "mpl.findpos = function (e) {\n",
       "    //this section is from http://www.quirksmode.org/js/events_properties.html\n",
       "    var targ;\n",
       "    if (!e) {\n",
       "        e = window.event;\n",
       "    }\n",
       "    if (e.target) {\n",
       "        targ = e.target;\n",
       "    } else if (e.srcElement) {\n",
       "        targ = e.srcElement;\n",
       "    }\n",
       "    if (targ.nodeType === 3) {\n",
       "        // defeat Safari bug\n",
       "        targ = targ.parentNode;\n",
       "    }\n",
       "\n",
       "    // pageX,Y are the mouse positions relative to the document\n",
       "    var boundingRect = targ.getBoundingClientRect();\n",
       "    var x = e.pageX - (boundingRect.left + document.body.scrollLeft);\n",
       "    var y = e.pageY - (boundingRect.top + document.body.scrollTop);\n",
       "\n",
       "    return { x: x, y: y };\n",
       "};\n",
       "\n",
       "/*\n",
       " * return a copy of an object with only non-object keys\n",
       " * we need this to avoid circular references\n",
       " * https://stackoverflow.com/a/24161582/3208463\n",
       " */\n",
       "function simpleKeys(original) {\n",
       "    return Object.keys(original).reduce(function (obj, key) {\n",
       "        if (typeof original[key] !== 'object') {\n",
       "            obj[key] = original[key];\n",
       "        }\n",
       "        return obj;\n",
       "    }, {});\n",
       "}\n",
       "\n",
       "mpl.figure.prototype.mouse_event = function (event, name) {\n",
       "    var canvas_pos = mpl.findpos(event);\n",
       "\n",
       "    if (name === 'button_press') {\n",
       "        this.canvas.focus();\n",
       "        this.canvas_div.focus();\n",
       "    }\n",
       "\n",
       "    var x = canvas_pos.x * this.ratio;\n",
       "    var y = canvas_pos.y * this.ratio;\n",
       "\n",
       "    this.send_message(name, {\n",
       "        x: x,\n",
       "        y: y,\n",
       "        button: event.button,\n",
       "        step: event.step,\n",
       "        guiEvent: simpleKeys(event),\n",
       "    });\n",
       "\n",
       "    /* This prevents the web browser from automatically changing to\n",
       "     * the text insertion cursor when the button is pressed.  We want\n",
       "     * to control all of the cursor setting manually through the\n",
       "     * 'cursor' event from matplotlib */\n",
       "    event.preventDefault();\n",
       "    return false;\n",
       "};\n",
       "\n",
       "mpl.figure.prototype._key_event_extra = function (_event, _name) {\n",
       "    // Handle any extra behaviour associated with a key event\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.key_event = function (event, name) {\n",
       "    // Prevent repeat events\n",
       "    if (name === 'key_press') {\n",
       "        if (event.key === this._key) {\n",
       "            return;\n",
       "        } else {\n",
       "            this._key = event.key;\n",
       "        }\n",
       "    }\n",
       "    if (name === 'key_release') {\n",
       "        this._key = null;\n",
       "    }\n",
       "\n",
       "    var value = '';\n",
       "    if (event.ctrlKey && event.key !== 'Control') {\n",
       "        value += 'ctrl+';\n",
       "    }\n",
       "    else if (event.altKey && event.key !== 'Alt') {\n",
       "        value += 'alt+';\n",
       "    }\n",
       "    else if (event.shiftKey && event.key !== 'Shift') {\n",
       "        value += 'shift+';\n",
       "    }\n",
       "\n",
       "    value += 'k' + event.key;\n",
       "\n",
       "    this._key_event_extra(event, name);\n",
       "\n",
       "    this.send_message(name, { key: value, guiEvent: simpleKeys(event) });\n",
       "    return false;\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.toolbar_button_onclick = function (name) {\n",
       "    if (name === 'download') {\n",
       "        this.handle_save(this, null);\n",
       "    } else {\n",
       "        this.send_message('toolbar_button', { name: name });\n",
       "    }\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.toolbar_button_onmouseover = function (tooltip) {\n",
       "    this.message.textContent = tooltip;\n",
       "};\n",
       "\n",
       "///////////////// REMAINING CONTENT GENERATED BY embed_js.py /////////////////\n",
       "// prettier-ignore\n",
       "var _JSXTOOLS_RESIZE_OBSERVER=function(A){var t,i=new WeakMap,n=new WeakMap,a=new WeakMap,r=new WeakMap,o=new Set;function s(e){if(!(this instanceof s))throw new TypeError(\"Constructor requires 'new' operator\");i.set(this,e)}function h(){throw new TypeError(\"Function is not a constructor\")}function c(e,t,i,n){e=0 in arguments?Number(arguments[0]):0,t=1 in arguments?Number(arguments[1]):0,i=2 in arguments?Number(arguments[2]):0,n=3 in arguments?Number(arguments[3]):0,this.right=(this.x=this.left=e)+(this.width=i),this.bottom=(this.y=this.top=t)+(this.height=n),Object.freeze(this)}function d(){t=requestAnimationFrame(d);var s=new WeakMap,p=new Set;o.forEach((function(t){r.get(t).forEach((function(i){var r=t instanceof window.SVGElement,o=a.get(t),d=r?0:parseFloat(o.paddingTop),f=r?0:parseFloat(o.paddingRight),l=r?0:parseFloat(o.paddingBottom),u=r?0:parseFloat(o.paddingLeft),g=r?0:parseFloat(o.borderTopWidth),m=r?0:parseFloat(o.borderRightWidth),w=r?0:parseFloat(o.borderBottomWidth),b=u+f,F=d+l,v=(r?0:parseFloat(o.borderLeftWidth))+m,W=g+w,y=r?0:t.offsetHeight-W-t.clientHeight,E=r?0:t.offsetWidth-v-t.clientWidth,R=b+v,z=F+W,M=r?t.width:parseFloat(o.width)-R-E,O=r?t.height:parseFloat(o.height)-z-y;if(n.has(t)){var k=n.get(t);if(k[0]===M&&k[1]===O)return}n.set(t,[M,O]);var S=Object.create(h.prototype);S.target=t,S.contentRect=new c(u,d,M,O),s.has(i)||(s.set(i,[]),p.add(i)),s.get(i).push(S)}))})),p.forEach((function(e){i.get(e).call(e,s.get(e),e)}))}return s.prototype.observe=function(i){if(i instanceof window.Element){r.has(i)||(r.set(i,new Set),o.add(i),a.set(i,window.getComputedStyle(i)));var n=r.get(i);n.has(this)||n.add(this),cancelAnimationFrame(t),t=requestAnimationFrame(d)}},s.prototype.unobserve=function(i){if(i instanceof window.Element&&r.has(i)){var n=r.get(i);n.has(this)&&(n.delete(this),n.size||(r.delete(i),o.delete(i))),n.size||r.delete(i),o.size||cancelAnimationFrame(t)}},A.DOMRectReadOnly=c,A.ResizeObserver=s,A.ResizeObserverEntry=h,A}; // eslint-disable-line\n",
       "mpl.toolbar_items = [[\"Home\", \"Reset original view\", \"fa fa-home icon-home\", \"home\"], [\"Back\", \"Back to previous view\", \"fa fa-arrow-left icon-arrow-left\", \"back\"], [\"Forward\", \"Forward to next view\", \"fa fa-arrow-right icon-arrow-right\", \"forward\"], [\"\", \"\", \"\", \"\"], [\"Pan\", \"Left button pans, Right button zooms\\nx/y fixes axis, CTRL fixes aspect\", \"fa fa-arrows icon-move\", \"pan\"], [\"Zoom\", \"Zoom to rectangle\\nx/y fixes axis\", \"fa fa-square-o icon-check-empty\", \"zoom\"], [\"\", \"\", \"\", \"\"], [\"Download\", \"Download plot\", \"fa fa-floppy-o icon-save\", \"download\"]];\n",
       "\n",
       "mpl.extensions = [\"eps\", \"jpeg\", \"pgf\", \"pdf\", \"png\", \"ps\", \"raw\", \"svg\", \"tif\"];\n",
       "\n",
       "mpl.default_extension = \"png\";/* global mpl */\n",
       "\n",
       "var comm_websocket_adapter = function (comm) {\n",
       "    // Create a \"websocket\"-like object which calls the given IPython comm\n",
       "    // object with the appropriate methods. Currently this is a non binary\n",
       "    // socket, so there is still some room for performance tuning.\n",
       "    var ws = {};\n",
       "\n",
       "    ws.binaryType = comm.kernel.ws.binaryType;\n",
       "    ws.readyState = comm.kernel.ws.readyState;\n",
       "    function updateReadyState(_event) {\n",
       "        if (comm.kernel.ws) {\n",
       "            ws.readyState = comm.kernel.ws.readyState;\n",
       "        } else {\n",
       "            ws.readyState = 3; // Closed state.\n",
       "        }\n",
       "    }\n",
       "    comm.kernel.ws.addEventListener('open', updateReadyState);\n",
       "    comm.kernel.ws.addEventListener('close', updateReadyState);\n",
       "    comm.kernel.ws.addEventListener('error', updateReadyState);\n",
       "\n",
       "    ws.close = function () {\n",
       "        comm.close();\n",
       "    };\n",
       "    ws.send = function (m) {\n",
       "        //console.log('sending', m);\n",
       "        comm.send(m);\n",
       "    };\n",
       "    // Register the callback with on_msg.\n",
       "    comm.on_msg(function (msg) {\n",
       "        //console.log('receiving', msg['content']['data'], msg);\n",
       "        var data = msg['content']['data'];\n",
       "        if (data['blob'] !== undefined) {\n",
       "            data = {\n",
       "                data: new Blob(msg['buffers'], { type: data['blob'] }),\n",
       "            };\n",
       "        }\n",
       "        // Pass the mpl event to the overridden (by mpl) onmessage function.\n",
       "        ws.onmessage(data);\n",
       "    });\n",
       "    return ws;\n",
       "};\n",
       "\n",
       "mpl.mpl_figure_comm = function (comm, msg) {\n",
       "    // This is the function which gets called when the mpl process\n",
       "    // starts-up an IPython Comm through the \"matplotlib\" channel.\n",
       "\n",
       "    var id = msg.content.data.id;\n",
       "    // Get hold of the div created by the display call when the Comm\n",
       "    // socket was opened in Python.\n",
       "    var element = document.getElementById(id);\n",
       "    var ws_proxy = comm_websocket_adapter(comm);\n",
       "\n",
       "    function ondownload(figure, _format) {\n",
       "        window.open(figure.canvas.toDataURL());\n",
       "    }\n",
       "\n",
       "    var fig = new mpl.figure(id, ws_proxy, ondownload, element);\n",
       "\n",
       "    // Call onopen now - mpl needs it, as it is assuming we've passed it a real\n",
       "    // web socket which is closed, not our websocket->open comm proxy.\n",
       "    ws_proxy.onopen();\n",
       "\n",
       "    fig.parent_element = element;\n",
       "    fig.cell_info = mpl.find_output_cell(\"<div id='\" + id + \"'></div>\");\n",
       "    if (!fig.cell_info) {\n",
       "        console.error('Failed to find cell for figure', id, fig);\n",
       "        return;\n",
       "    }\n",
       "    fig.cell_info[0].output_area.element.on(\n",
       "        'cleared',\n",
       "        { fig: fig },\n",
       "        fig._remove_fig_handler\n",
       "    );\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.handle_close = function (fig, msg) {\n",
       "    var width = fig.canvas.width / fig.ratio;\n",
       "    fig.cell_info[0].output_area.element.off(\n",
       "        'cleared',\n",
       "        fig._remove_fig_handler\n",
       "    );\n",
       "    fig.resizeObserverInstance.unobserve(fig.canvas_div);\n",
       "\n",
       "    // Update the output cell to use the data from the current canvas.\n",
       "    fig.push_to_output();\n",
       "    var dataURL = fig.canvas.toDataURL();\n",
       "    // Re-enable the keyboard manager in IPython - without this line, in FF,\n",
       "    // the notebook keyboard shortcuts fail.\n",
       "    IPython.keyboard_manager.enable();\n",
       "    fig.parent_element.innerHTML =\n",
       "        '<img src=\"' + dataURL + '\" width=\"' + width + '\">';\n",
       "    fig.close_ws(fig, msg);\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.close_ws = function (fig, msg) {\n",
       "    fig.send_message('closing', msg);\n",
       "    // fig.ws.close()\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.push_to_output = function (_remove_interactive) {\n",
       "    // Turn the data on the canvas into data in the output cell.\n",
       "    var width = this.canvas.width / this.ratio;\n",
       "    var dataURL = this.canvas.toDataURL();\n",
       "    this.cell_info[1]['text/html'] =\n",
       "        '<img src=\"' + dataURL + '\" width=\"' + width + '\">';\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.updated_canvas_event = function () {\n",
       "    // Tell IPython that the notebook contents must change.\n",
       "    IPython.notebook.set_dirty(true);\n",
       "    this.send_message('ack', {});\n",
       "    var fig = this;\n",
       "    // Wait a second, then push the new image to the DOM so\n",
       "    // that it is saved nicely (might be nice to debounce this).\n",
       "    setTimeout(function () {\n",
       "        fig.push_to_output();\n",
       "    }, 1000);\n",
       "};\n",
       "\n",
       "mpl.figure.prototype._init_toolbar = function () {\n",
       "    var fig = this;\n",
       "\n",
       "    var toolbar = document.createElement('div');\n",
       "    toolbar.classList = 'btn-toolbar';\n",
       "    this.root.appendChild(toolbar);\n",
       "\n",
       "    function on_click_closure(name) {\n",
       "        return function (_event) {\n",
       "            return fig.toolbar_button_onclick(name);\n",
       "        };\n",
       "    }\n",
       "\n",
       "    function on_mouseover_closure(tooltip) {\n",
       "        return function (event) {\n",
       "            if (!event.currentTarget.disabled) {\n",
       "                return fig.toolbar_button_onmouseover(tooltip);\n",
       "            }\n",
       "        };\n",
       "    }\n",
       "\n",
       "    fig.buttons = {};\n",
       "    var buttonGroup = document.createElement('div');\n",
       "    buttonGroup.classList = 'btn-group';\n",
       "    var button;\n",
       "    for (var toolbar_ind in mpl.toolbar_items) {\n",
       "        var name = mpl.toolbar_items[toolbar_ind][0];\n",
       "        var tooltip = mpl.toolbar_items[toolbar_ind][1];\n",
       "        var image = mpl.toolbar_items[toolbar_ind][2];\n",
       "        var method_name = mpl.toolbar_items[toolbar_ind][3];\n",
       "\n",
       "        if (!name) {\n",
       "            /* Instead of a spacer, we start a new button group. */\n",
       "            if (buttonGroup.hasChildNodes()) {\n",
       "                toolbar.appendChild(buttonGroup);\n",
       "            }\n",
       "            buttonGroup = document.createElement('div');\n",
       "            buttonGroup.classList = 'btn-group';\n",
       "            continue;\n",
       "        }\n",
       "\n",
       "        button = fig.buttons[name] = document.createElement('button');\n",
       "        button.classList = 'btn btn-default';\n",
       "        button.href = '#';\n",
       "        button.title = name;\n",
       "        button.innerHTML = '<i class=\"fa ' + image + ' fa-lg\"></i>';\n",
       "        button.addEventListener('click', on_click_closure(method_name));\n",
       "        button.addEventListener('mouseover', on_mouseover_closure(tooltip));\n",
       "        buttonGroup.appendChild(button);\n",
       "    }\n",
       "\n",
       "    if (buttonGroup.hasChildNodes()) {\n",
       "        toolbar.appendChild(buttonGroup);\n",
       "    }\n",
       "\n",
       "    // Add the status bar.\n",
       "    var status_bar = document.createElement('span');\n",
       "    status_bar.classList = 'mpl-message pull-right';\n",
       "    toolbar.appendChild(status_bar);\n",
       "    this.message = status_bar;\n",
       "\n",
       "    // Add the close button to the window.\n",
       "    var buttongrp = document.createElement('div');\n",
       "    buttongrp.classList = 'btn-group inline pull-right';\n",
       "    button = document.createElement('button');\n",
       "    button.classList = 'btn btn-mini btn-primary';\n",
       "    button.href = '#';\n",
       "    button.title = 'Stop Interaction';\n",
       "    button.innerHTML = '<i class=\"fa fa-power-off icon-remove icon-large\"></i>';\n",
       "    button.addEventListener('click', function (_evt) {\n",
       "        fig.handle_close(fig, {});\n",
       "    });\n",
       "    button.addEventListener(\n",
       "        'mouseover',\n",
       "        on_mouseover_closure('Stop Interaction')\n",
       "    );\n",
       "    buttongrp.appendChild(button);\n",
       "    var titlebar = this.root.querySelector('.ui-dialog-titlebar');\n",
       "    titlebar.insertBefore(buttongrp, titlebar.firstChild);\n",
       "};\n",
       "\n",
       "mpl.figure.prototype._remove_fig_handler = function (event) {\n",
       "    var fig = event.data.fig;\n",
       "    if (event.target !== this) {\n",
       "        // Ignore bubbled events from children.\n",
       "        return;\n",
       "    }\n",
       "    fig.close_ws(fig, {});\n",
       "};\n",
       "\n",
       "mpl.figure.prototype._root_extra_style = function (el) {\n",
       "    el.style.boxSizing = 'content-box'; // override notebook setting of border-box.\n",
       "};\n",
       "\n",
       "mpl.figure.prototype._canvas_extra_style = function (el) {\n",
       "    // this is important to make the div 'focusable\n",
       "    el.setAttribute('tabindex', 0);\n",
       "    // reach out to IPython and tell the keyboard manager to turn it's self\n",
       "    // off when our div gets focus\n",
       "\n",
       "    // location in version 3\n",
       "    if (IPython.notebook.keyboard_manager) {\n",
       "        IPython.notebook.keyboard_manager.register_events(el);\n",
       "    } else {\n",
       "        // location in version 2\n",
       "        IPython.keyboard_manager.register_events(el);\n",
       "    }\n",
       "};\n",
       "\n",
       "mpl.figure.prototype._key_event_extra = function (event, _name) {\n",
       "    // Check for shift+enter\n",
       "    if (event.shiftKey && event.which === 13) {\n",
       "        this.canvas_div.blur();\n",
       "        // select the cell after this one\n",
       "        var index = IPython.notebook.find_cell_index(this.cell_info[0]);\n",
       "        IPython.notebook.select(index + 1);\n",
       "    }\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.handle_save = function (fig, _msg) {\n",
       "    fig.ondownload(fig, null);\n",
       "};\n",
       "\n",
       "mpl.find_output_cell = function (html_output) {\n",
       "    // Return the cell and output element which can be found *uniquely* in the notebook.\n",
       "    // Note - this is a bit hacky, but it is done because the \"notebook_saving.Notebook\"\n",
       "    // IPython event is triggered only after the cells have been serialised, which for\n",
       "    // our purposes (turning an active figure into a static one), is too late.\n",
       "    var cells = IPython.notebook.get_cells();\n",
       "    var ncells = cells.length;\n",
       "    for (var i = 0; i < ncells; i++) {\n",
       "        var cell = cells[i];\n",
       "        if (cell.cell_type === 'code') {\n",
       "            for (var j = 0; j < cell.output_area.outputs.length; j++) {\n",
       "                var data = cell.output_area.outputs[j];\n",
       "                if (data.data) {\n",
       "                    // IPython >= 3 moved mimebundle to data attribute of output\n",
       "                    data = data.data;\n",
       "                }\n",
       "                if (data['text/html'] === html_output) {\n",
       "                    return [cell, data, j];\n",
       "                }\n",
       "            }\n",
       "        }\n",
       "    }\n",
       "};\n",
       "\n",
       "// Register the function which deals with the matplotlib target/channel.\n",
       "// The kernel may be null if the page has been refreshed.\n",
       "if (IPython.notebook.kernel !== null) {\n",
       "    IPython.notebook.kernel.comm_manager.register_target(\n",
       "        'matplotlib',\n",
       "        mpl.mpl_figure_comm\n",
       "    );\n",
       "}\n"
      ],
      "text/plain": [
       "<IPython.core.display.Javascript object>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "text/html": [
       "<img 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\" 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      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "plot_triplet([x_train[0], x_train[1], x_train[2]])"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Task 4: A Batch of Triplets"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "metadata": {},
   "outputs": [],
   "source": [
    "def create_batch(batch_size):\n",
    "    anchors = np.zeros((batch_size, 784))\n",
    "    negatives = np.zeros((batch_size, 784))\n",
    "    positives = np.zeros((batch_size, 784))\n",
    "    \n",
    "    for i in range(0, batch_size):\n",
    "        index = np.random.randint(0, 60000-1)\n",
    "        \n",
    "        anc = x_train[index]\n",
    "        yy_train = y_train[index]\n",
    "        \n",
    "        indices_for_pos = np.squeeze(np.where(y_train == yy_train))\n",
    "        indices_for_neg = np.squeeze(np.where(y_train != yy_train))\n",
    "        \n",
    "        pos = x_train[indices_for_pos[np.random.randint(0, len(indices_for_pos) - 1)]]\n",
    "        neg = x_train[indices_for_neg[np.random.randint(0, len(indices_for_neg) - 1)]]\n",
    "        \n",
    "        anchors[i] = anc\n",
    "        positives[i] = pos\n",
    "        negatives[i] = neg\n",
    "    \n",
    "    return [anchors, positives, negatives]"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "application/javascript": [
       "/* Put everything inside the global mpl namespace */\n",
       "/* global mpl */\n",
       "window.mpl = {};\n",
       "\n",
       "mpl.get_websocket_type = function () {\n",
       "    if (typeof WebSocket !== 'undefined') {\n",
       "        return WebSocket;\n",
       "    } else if (typeof MozWebSocket !== 'undefined') {\n",
       "        return MozWebSocket;\n",
       "    } else {\n",
       "        alert(\n",
       "            'Your browser does not have WebSocket support. ' +\n",
       "                'Please try Chrome, Safari or Firefox ≥ 6. ' +\n",
       "                'Firefox 4 and 5 are also supported but you ' +\n",
       "                'have to enable WebSockets in about:config.'\n",
       "        );\n",
       "    }\n",
       "};\n",
       "\n",
       "mpl.figure = function (figure_id, websocket, ondownload, parent_element) {\n",
       "    this.id = figure_id;\n",
       "\n",
       "    this.ws = websocket;\n",
       "\n",
       "    this.supports_binary = this.ws.binaryType !== undefined;\n",
       "\n",
       "    if (!this.supports_binary) {\n",
       "        var warnings = document.getElementById('mpl-warnings');\n",
       "        if (warnings) {\n",
       "            warnings.style.display = 'block';\n",
       "            warnings.textContent =\n",
       "                'This browser does not support binary websocket messages. ' +\n",
       "                'Performance may be slow.';\n",
       "        }\n",
       "    }\n",
       "\n",
       "    this.imageObj = new Image();\n",
       "\n",
       "    this.context = undefined;\n",
       "    this.message = undefined;\n",
       "    this.canvas = undefined;\n",
       "    this.rubberband_canvas = undefined;\n",
       "    this.rubberband_context = undefined;\n",
       "    this.format_dropdown = undefined;\n",
       "\n",
       "    this.image_mode = 'full';\n",
       "\n",
       "    this.root = document.createElement('div');\n",
       "    this.root.setAttribute('style', 'display: inline-block');\n",
       "    this._root_extra_style(this.root);\n",
       "\n",
       "    parent_element.appendChild(this.root);\n",
       "\n",
       "    this._init_header(this);\n",
       "    this._init_canvas(this);\n",
       "    this._init_toolbar(this);\n",
       "\n",
       "    var fig = this;\n",
       "\n",
       "    this.waiting = false;\n",
       "\n",
       "    this.ws.onopen = function () {\n",
       "        fig.send_message('supports_binary', { value: fig.supports_binary });\n",
       "        fig.send_message('send_image_mode', {});\n",
       "        if (fig.ratio !== 1) {\n",
       "            fig.send_message('set_device_pixel_ratio', {\n",
       "                device_pixel_ratio: fig.ratio,\n",
       "            });\n",
       "        }\n",
       "        fig.send_message('refresh', {});\n",
       "    };\n",
       "\n",
       "    this.imageObj.onload = function () {\n",
       "        if (fig.image_mode === 'full') {\n",
       "            // Full images could contain transparency (where diff images\n",
       "            // almost always do), so we need to clear the canvas so that\n",
       "            // there is no ghosting.\n",
       "            fig.context.clearRect(0, 0, fig.canvas.width, fig.canvas.height);\n",
       "        }\n",
       "        fig.context.drawImage(fig.imageObj, 0, 0);\n",
       "    };\n",
       "\n",
       "    this.imageObj.onunload = function () {\n",
       "        fig.ws.close();\n",
       "    };\n",
       "\n",
       "    this.ws.onmessage = this._make_on_message_function(this);\n",
       "\n",
       "    this.ondownload = ondownload;\n",
       "};\n",
       "\n",
       "mpl.figure.prototype._init_header = function () {\n",
       "    var titlebar = document.createElement('div');\n",
       "    titlebar.classList =\n",
       "        'ui-dialog-titlebar ui-widget-header ui-corner-all ui-helper-clearfix';\n",
       "    var titletext = document.createElement('div');\n",
       "    titletext.classList = 'ui-dialog-title';\n",
       "    titletext.setAttribute(\n",
       "        'style',\n",
       "        'width: 100%; text-align: center; padding: 3px;'\n",
       "    );\n",
       "    titlebar.appendChild(titletext);\n",
       "    this.root.appendChild(titlebar);\n",
       "    this.header = titletext;\n",
       "};\n",
       "\n",
       "mpl.figure.prototype._canvas_extra_style = function (_canvas_div) {};\n",
       "\n",
       "mpl.figure.prototype._root_extra_style = function (_canvas_div) {};\n",
       "\n",
       "mpl.figure.prototype._init_canvas = function () {\n",
       "    var fig = this;\n",
       "\n",
       "    var canvas_div = (this.canvas_div = document.createElement('div'));\n",
       "    canvas_div.setAttribute(\n",
       "        'style',\n",
       "        'border: 1px solid #ddd;' +\n",
       "            'box-sizing: content-box;' +\n",
       "            'clear: both;' +\n",
       "            'min-height: 1px;' +\n",
       "            'min-width: 1px;' +\n",
       "            'outline: 0;' +\n",
       "            'overflow: hidden;' +\n",
       "            'position: relative;' +\n",
       "            'resize: both;'\n",
       "    );\n",
       "\n",
       "    function on_keyboard_event_closure(name) {\n",
       "        return function (event) {\n",
       "            return fig.key_event(event, name);\n",
       "        };\n",
       "    }\n",
       "\n",
       "    canvas_div.addEventListener(\n",
       "        'keydown',\n",
       "        on_keyboard_event_closure('key_press')\n",
       "    );\n",
       "    canvas_div.addEventListener(\n",
       "        'keyup',\n",
       "        on_keyboard_event_closure('key_release')\n",
       "    );\n",
       "\n",
       "    this._canvas_extra_style(canvas_div);\n",
       "    this.root.appendChild(canvas_div);\n",
       "\n",
       "    var canvas = (this.canvas = document.createElement('canvas'));\n",
       "    canvas.classList.add('mpl-canvas');\n",
       "    canvas.setAttribute('style', 'box-sizing: content-box;');\n",
       "\n",
       "    this.context = canvas.getContext('2d');\n",
       "\n",
       "    var backingStore =\n",
       "        this.context.backingStorePixelRatio ||\n",
       "        this.context.webkitBackingStorePixelRatio ||\n",
       "        this.context.mozBackingStorePixelRatio ||\n",
       "        this.context.msBackingStorePixelRatio ||\n",
       "        this.context.oBackingStorePixelRatio ||\n",
       "        this.context.backingStorePixelRatio ||\n",
       "        1;\n",
       "\n",
       "    this.ratio = (window.devicePixelRatio || 1) / backingStore;\n",
       "\n",
       "    var rubberband_canvas = (this.rubberband_canvas = document.createElement(\n",
       "        'canvas'\n",
       "    ));\n",
       "    rubberband_canvas.setAttribute(\n",
       "        'style',\n",
       "        'box-sizing: content-box; position: absolute; left: 0; top: 0; z-index: 1;'\n",
       "    );\n",
       "\n",
       "    // Apply a ponyfill if ResizeObserver is not implemented by browser.\n",
       "    if (this.ResizeObserver === undefined) {\n",
       "        if (window.ResizeObserver !== undefined) {\n",
       "            this.ResizeObserver = window.ResizeObserver;\n",
       "        } else {\n",
       "            var obs = _JSXTOOLS_RESIZE_OBSERVER({});\n",
       "            this.ResizeObserver = obs.ResizeObserver;\n",
       "        }\n",
       "    }\n",
       "\n",
       "    this.resizeObserverInstance = new this.ResizeObserver(function (entries) {\n",
       "        var nentries = entries.length;\n",
       "        for (var i = 0; i < nentries; i++) {\n",
       "            var entry = entries[i];\n",
       "            var width, height;\n",
       "            if (entry.contentBoxSize) {\n",
       "                if (entry.contentBoxSize instanceof Array) {\n",
       "                    // Chrome 84 implements new version of spec.\n",
       "                    width = entry.contentBoxSize[0].inlineSize;\n",
       "                    height = entry.contentBoxSize[0].blockSize;\n",
       "                } else {\n",
       "                    // Firefox implements old version of spec.\n",
       "                    width = entry.contentBoxSize.inlineSize;\n",
       "                    height = entry.contentBoxSize.blockSize;\n",
       "                }\n",
       "            } else {\n",
       "                // Chrome <84 implements even older version of spec.\n",
       "                width = entry.contentRect.width;\n",
       "                height = entry.contentRect.height;\n",
       "            }\n",
       "\n",
       "            // Keep the size of the canvas and rubber band canvas in sync with\n",
       "            // the canvas container.\n",
       "            if (entry.devicePixelContentBoxSize) {\n",
       "                // Chrome 84 implements new version of spec.\n",
       "                canvas.setAttribute(\n",
       "                    'width',\n",
       "                    entry.devicePixelContentBoxSize[0].inlineSize\n",
       "                );\n",
       "                canvas.setAttribute(\n",
       "                    'height',\n",
       "                    entry.devicePixelContentBoxSize[0].blockSize\n",
       "                );\n",
       "            } else {\n",
       "                canvas.setAttribute('width', width * fig.ratio);\n",
       "                canvas.setAttribute('height', height * fig.ratio);\n",
       "            }\n",
       "            canvas.setAttribute(\n",
       "                'style',\n",
       "                'width: ' + width + 'px; height: ' + height + 'px;'\n",
       "            );\n",
       "\n",
       "            rubberband_canvas.setAttribute('width', width);\n",
       "            rubberband_canvas.setAttribute('height', height);\n",
       "\n",
       "            // And update the size in Python. We ignore the initial 0/0 size\n",
       "            // that occurs as the element is placed into the DOM, which should\n",
       "            // otherwise not happen due to the minimum size styling.\n",
       "            if (fig.ws.readyState == 1 && width != 0 && height != 0) {\n",
       "                fig.request_resize(width, height);\n",
       "            }\n",
       "        }\n",
       "    });\n",
       "    this.resizeObserverInstance.observe(canvas_div);\n",
       "\n",
       "    function on_mouse_event_closure(name) {\n",
       "        return function (event) {\n",
       "            return fig.mouse_event(event, name);\n",
       "        };\n",
       "    }\n",
       "\n",
       "    rubberband_canvas.addEventListener(\n",
       "        'mousedown',\n",
       "        on_mouse_event_closure('button_press')\n",
       "    );\n",
       "    rubberband_canvas.addEventListener(\n",
       "        'mouseup',\n",
       "        on_mouse_event_closure('button_release')\n",
       "    );\n",
       "    rubberband_canvas.addEventListener(\n",
       "        'dblclick',\n",
       "        on_mouse_event_closure('dblclick')\n",
       "    );\n",
       "    // Throttle sequential mouse events to 1 every 20ms.\n",
       "    rubberband_canvas.addEventListener(\n",
       "        'mousemove',\n",
       "        on_mouse_event_closure('motion_notify')\n",
       "    );\n",
       "\n",
       "    rubberband_canvas.addEventListener(\n",
       "        'mouseenter',\n",
       "        on_mouse_event_closure('figure_enter')\n",
       "    );\n",
       "    rubberband_canvas.addEventListener(\n",
       "        'mouseleave',\n",
       "        on_mouse_event_closure('figure_leave')\n",
       "    );\n",
       "\n",
       "    canvas_div.addEventListener('wheel', function (event) {\n",
       "        if (event.deltaY < 0) {\n",
       "            event.step = 1;\n",
       "        } else {\n",
       "            event.step = -1;\n",
       "        }\n",
       "        on_mouse_event_closure('scroll')(event);\n",
       "    });\n",
       "\n",
       "    canvas_div.appendChild(canvas);\n",
       "    canvas_div.appendChild(rubberband_canvas);\n",
       "\n",
       "    this.rubberband_context = rubberband_canvas.getContext('2d');\n",
       "    this.rubberband_context.strokeStyle = '#000000';\n",
       "\n",
       "    this._resize_canvas = function (width, height, forward) {\n",
       "        if (forward) {\n",
       "            canvas_div.style.width = width + 'px';\n",
       "            canvas_div.style.height = height + 'px';\n",
       "        }\n",
       "    };\n",
       "\n",
       "    // Disable right mouse context menu.\n",
       "    this.rubberband_canvas.addEventListener('contextmenu', function (_e) {\n",
       "        event.preventDefault();\n",
       "        return false;\n",
       "    });\n",
       "\n",
       "    function set_focus() {\n",
       "        canvas.focus();\n",
       "        canvas_div.focus();\n",
       "    }\n",
       "\n",
       "    window.setTimeout(set_focus, 100);\n",
       "};\n",
       "\n",
       "mpl.figure.prototype._init_toolbar = function () {\n",
       "    var fig = this;\n",
       "\n",
       "    var toolbar = document.createElement('div');\n",
       "    toolbar.classList = 'mpl-toolbar';\n",
       "    this.root.appendChild(toolbar);\n",
       "\n",
       "    function on_click_closure(name) {\n",
       "        return function (_event) {\n",
       "            return fig.toolbar_button_onclick(name);\n",
       "        };\n",
       "    }\n",
       "\n",
       "    function on_mouseover_closure(tooltip) {\n",
       "        return function (event) {\n",
       "            if (!event.currentTarget.disabled) {\n",
       "                return fig.toolbar_button_onmouseover(tooltip);\n",
       "            }\n",
       "        };\n",
       "    }\n",
       "\n",
       "    fig.buttons = {};\n",
       "    var buttonGroup = document.createElement('div');\n",
       "    buttonGroup.classList = 'mpl-button-group';\n",
       "    for (var toolbar_ind in mpl.toolbar_items) {\n",
       "        var name = mpl.toolbar_items[toolbar_ind][0];\n",
       "        var tooltip = mpl.toolbar_items[toolbar_ind][1];\n",
       "        var image = mpl.toolbar_items[toolbar_ind][2];\n",
       "        var method_name = mpl.toolbar_items[toolbar_ind][3];\n",
       "\n",
       "        if (!name) {\n",
       "            /* Instead of a spacer, we start a new button group. */\n",
       "            if (buttonGroup.hasChildNodes()) {\n",
       "                toolbar.appendChild(buttonGroup);\n",
       "            }\n",
       "            buttonGroup = document.createElement('div');\n",
       "            buttonGroup.classList = 'mpl-button-group';\n",
       "            continue;\n",
       "        }\n",
       "\n",
       "        var button = (fig.buttons[name] = document.createElement('button'));\n",
       "        button.classList = 'mpl-widget';\n",
       "        button.setAttribute('role', 'button');\n",
       "        button.setAttribute('aria-disabled', 'false');\n",
       "        button.addEventListener('click', on_click_closure(method_name));\n",
       "        button.addEventListener('mouseover', on_mouseover_closure(tooltip));\n",
       "\n",
       "        var icon_img = document.createElement('img');\n",
       "        icon_img.src = '_images/' + image + '.png';\n",
       "        icon_img.srcset = '_images/' + image + '_large.png 2x';\n",
       "        icon_img.alt = tooltip;\n",
       "        button.appendChild(icon_img);\n",
       "\n",
       "        buttonGroup.appendChild(button);\n",
       "    }\n",
       "\n",
       "    if (buttonGroup.hasChildNodes()) {\n",
       "        toolbar.appendChild(buttonGroup);\n",
       "    }\n",
       "\n",
       "    var fmt_picker = document.createElement('select');\n",
       "    fmt_picker.classList = 'mpl-widget';\n",
       "    toolbar.appendChild(fmt_picker);\n",
       "    this.format_dropdown = fmt_picker;\n",
       "\n",
       "    for (var ind in mpl.extensions) {\n",
       "        var fmt = mpl.extensions[ind];\n",
       "        var option = document.createElement('option');\n",
       "        option.selected = fmt === mpl.default_extension;\n",
       "        option.innerHTML = fmt;\n",
       "        fmt_picker.appendChild(option);\n",
       "    }\n",
       "\n",
       "    var status_bar = document.createElement('span');\n",
       "    status_bar.classList = 'mpl-message';\n",
       "    toolbar.appendChild(status_bar);\n",
       "    this.message = status_bar;\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.request_resize = function (x_pixels, y_pixels) {\n",
       "    // Request matplotlib to resize the figure. Matplotlib will then trigger a resize in the client,\n",
       "    // which will in turn request a refresh of the image.\n",
       "    this.send_message('resize', { width: x_pixels, height: y_pixels });\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.send_message = function (type, properties) {\n",
       "    properties['type'] = type;\n",
       "    properties['figure_id'] = this.id;\n",
       "    this.ws.send(JSON.stringify(properties));\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.send_draw_message = function () {\n",
       "    if (!this.waiting) {\n",
       "        this.waiting = true;\n",
       "        this.ws.send(JSON.stringify({ type: 'draw', figure_id: this.id }));\n",
       "    }\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.handle_save = function (fig, _msg) {\n",
       "    var format_dropdown = fig.format_dropdown;\n",
       "    var format = format_dropdown.options[format_dropdown.selectedIndex].value;\n",
       "    fig.ondownload(fig, format);\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.handle_resize = function (fig, msg) {\n",
       "    var size = msg['size'];\n",
       "    if (size[0] !== fig.canvas.width || size[1] !== fig.canvas.height) {\n",
       "        fig._resize_canvas(size[0], size[1], msg['forward']);\n",
       "        fig.send_message('refresh', {});\n",
       "    }\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.handle_rubberband = function (fig, msg) {\n",
       "    var x0 = msg['x0'] / fig.ratio;\n",
       "    var y0 = (fig.canvas.height - msg['y0']) / fig.ratio;\n",
       "    var x1 = msg['x1'] / fig.ratio;\n",
       "    var y1 = (fig.canvas.height - msg['y1']) / fig.ratio;\n",
       "    x0 = Math.floor(x0) + 0.5;\n",
       "    y0 = Math.floor(y0) + 0.5;\n",
       "    x1 = Math.floor(x1) + 0.5;\n",
       "    y1 = Math.floor(y1) + 0.5;\n",
       "    var min_x = Math.min(x0, x1);\n",
       "    var min_y = Math.min(y0, y1);\n",
       "    var width = Math.abs(x1 - x0);\n",
       "    var height = Math.abs(y1 - y0);\n",
       "\n",
       "    fig.rubberband_context.clearRect(\n",
       "        0,\n",
       "        0,\n",
       "        fig.canvas.width / fig.ratio,\n",
       "        fig.canvas.height / fig.ratio\n",
       "    );\n",
       "\n",
       "    fig.rubberband_context.strokeRect(min_x, min_y, width, height);\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.handle_figure_label = function (fig, msg) {\n",
       "    // Updates the figure title.\n",
       "    fig.header.textContent = msg['label'];\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.handle_cursor = function (fig, msg) {\n",
       "    fig.rubberband_canvas.style.cursor = msg['cursor'];\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.handle_message = function (fig, msg) {\n",
       "    fig.message.textContent = msg['message'];\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.handle_draw = function (fig, _msg) {\n",
       "    // Request the server to send over a new figure.\n",
       "    fig.send_draw_message();\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.handle_image_mode = function (fig, msg) {\n",
       "    fig.image_mode = msg['mode'];\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.handle_history_buttons = function (fig, msg) {\n",
       "    for (var key in msg) {\n",
       "        if (!(key in fig.buttons)) {\n",
       "            continue;\n",
       "        }\n",
       "        fig.buttons[key].disabled = !msg[key];\n",
       "        fig.buttons[key].setAttribute('aria-disabled', !msg[key]);\n",
       "    }\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.handle_navigate_mode = function (fig, msg) {\n",
       "    if (msg['mode'] === 'PAN') {\n",
       "        fig.buttons['Pan'].classList.add('active');\n",
       "        fig.buttons['Zoom'].classList.remove('active');\n",
       "    } else if (msg['mode'] === 'ZOOM') {\n",
       "        fig.buttons['Pan'].classList.remove('active');\n",
       "        fig.buttons['Zoom'].classList.add('active');\n",
       "    } else {\n",
       "        fig.buttons['Pan'].classList.remove('active');\n",
       "        fig.buttons['Zoom'].classList.remove('active');\n",
       "    }\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.updated_canvas_event = function () {\n",
       "    // Called whenever the canvas gets updated.\n",
       "    this.send_message('ack', {});\n",
       "};\n",
       "\n",
       "// A function to construct a web socket function for onmessage handling.\n",
       "// Called in the figure constructor.\n",
       "mpl.figure.prototype._make_on_message_function = function (fig) {\n",
       "    return function socket_on_message(evt) {\n",
       "        if (evt.data instanceof Blob) {\n",
       "            var img = evt.data;\n",
       "            if (img.type !== 'image/png') {\n",
       "                /* FIXME: We get \"Resource interpreted as Image but\n",
       "                 * transferred with MIME type text/plain:\" errors on\n",
       "                 * Chrome.  But how to set the MIME type?  It doesn't seem\n",
       "                 * to be part of the websocket stream */\n",
       "                img.type = 'image/png';\n",
       "            }\n",
       "\n",
       "            /* Free the memory for the previous frames */\n",
       "            if (fig.imageObj.src) {\n",
       "                (window.URL || window.webkitURL).revokeObjectURL(\n",
       "                    fig.imageObj.src\n",
       "                );\n",
       "            }\n",
       "\n",
       "            fig.imageObj.src = (window.URL || window.webkitURL).createObjectURL(\n",
       "                img\n",
       "            );\n",
       "            fig.updated_canvas_event();\n",
       "            fig.waiting = false;\n",
       "            return;\n",
       "        } else if (\n",
       "            typeof evt.data === 'string' &&\n",
       "            evt.data.slice(0, 21) === 'data:image/png;base64'\n",
       "        ) {\n",
       "            fig.imageObj.src = evt.data;\n",
       "            fig.updated_canvas_event();\n",
       "            fig.waiting = false;\n",
       "            return;\n",
       "        }\n",
       "\n",
       "        var msg = JSON.parse(evt.data);\n",
       "        var msg_type = msg['type'];\n",
       "\n",
       "        // Call the  \"handle_{type}\" callback, which takes\n",
       "        // the figure and JSON message as its only arguments.\n",
       "        try {\n",
       "            var callback = fig['handle_' + msg_type];\n",
       "        } catch (e) {\n",
       "            console.log(\n",
       "                \"No handler for the '\" + msg_type + \"' message type: \",\n",
       "                msg\n",
       "            );\n",
       "            return;\n",
       "        }\n",
       "\n",
       "        if (callback) {\n",
       "            try {\n",
       "                // console.log(\"Handling '\" + msg_type + \"' message: \", msg);\n",
       "                callback(fig, msg);\n",
       "            } catch (e) {\n",
       "                console.log(\n",
       "                    \"Exception inside the 'handler_\" + msg_type + \"' callback:\",\n",
       "                    e,\n",
       "                    e.stack,\n",
       "                    msg\n",
       "                );\n",
       "            }\n",
       "        }\n",
       "    };\n",
       "};\n",
       "\n",
       "// from https://stackoverflow.com/questions/1114465/getting-mouse-location-in-canvas\n",
       "mpl.findpos = function (e) {\n",
       "    //this section is from http://www.quirksmode.org/js/events_properties.html\n",
       "    var targ;\n",
       "    if (!e) {\n",
       "        e = window.event;\n",
       "    }\n",
       "    if (e.target) {\n",
       "        targ = e.target;\n",
       "    } else if (e.srcElement) {\n",
       "        targ = e.srcElement;\n",
       "    }\n",
       "    if (targ.nodeType === 3) {\n",
       "        // defeat Safari bug\n",
       "        targ = targ.parentNode;\n",
       "    }\n",
       "\n",
       "    // pageX,Y are the mouse positions relative to the document\n",
       "    var boundingRect = targ.getBoundingClientRect();\n",
       "    var x = e.pageX - (boundingRect.left + document.body.scrollLeft);\n",
       "    var y = e.pageY - (boundingRect.top + document.body.scrollTop);\n",
       "\n",
       "    return { x: x, y: y };\n",
       "};\n",
       "\n",
       "/*\n",
       " * return a copy of an object with only non-object keys\n",
       " * we need this to avoid circular references\n",
       " * https://stackoverflow.com/a/24161582/3208463\n",
       " */\n",
       "function simpleKeys(original) {\n",
       "    return Object.keys(original).reduce(function (obj, key) {\n",
       "        if (typeof original[key] !== 'object') {\n",
       "            obj[key] = original[key];\n",
       "        }\n",
       "        return obj;\n",
       "    }, {});\n",
       "}\n",
       "\n",
       "mpl.figure.prototype.mouse_event = function (event, name) {\n",
       "    var canvas_pos = mpl.findpos(event);\n",
       "\n",
       "    if (name === 'button_press') {\n",
       "        this.canvas.focus();\n",
       "        this.canvas_div.focus();\n",
       "    }\n",
       "\n",
       "    var x = canvas_pos.x * this.ratio;\n",
       "    var y = canvas_pos.y * this.ratio;\n",
       "\n",
       "    this.send_message(name, {\n",
       "        x: x,\n",
       "        y: y,\n",
       "        button: event.button,\n",
       "        step: event.step,\n",
       "        guiEvent: simpleKeys(event),\n",
       "    });\n",
       "\n",
       "    /* This prevents the web browser from automatically changing to\n",
       "     * the text insertion cursor when the button is pressed.  We want\n",
       "     * to control all of the cursor setting manually through the\n",
       "     * 'cursor' event from matplotlib */\n",
       "    event.preventDefault();\n",
       "    return false;\n",
       "};\n",
       "\n",
       "mpl.figure.prototype._key_event_extra = function (_event, _name) {\n",
       "    // Handle any extra behaviour associated with a key event\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.key_event = function (event, name) {\n",
       "    // Prevent repeat events\n",
       "    if (name === 'key_press') {\n",
       "        if (event.key === this._key) {\n",
       "            return;\n",
       "        } else {\n",
       "            this._key = event.key;\n",
       "        }\n",
       "    }\n",
       "    if (name === 'key_release') {\n",
       "        this._key = null;\n",
       "    }\n",
       "\n",
       "    var value = '';\n",
       "    if (event.ctrlKey && event.key !== 'Control') {\n",
       "        value += 'ctrl+';\n",
       "    }\n",
       "    else if (event.altKey && event.key !== 'Alt') {\n",
       "        value += 'alt+';\n",
       "    }\n",
       "    else if (event.shiftKey && event.key !== 'Shift') {\n",
       "        value += 'shift+';\n",
       "    }\n",
       "\n",
       "    value += 'k' + event.key;\n",
       "\n",
       "    this._key_event_extra(event, name);\n",
       "\n",
       "    this.send_message(name, { key: value, guiEvent: simpleKeys(event) });\n",
       "    return false;\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.toolbar_button_onclick = function (name) {\n",
       "    if (name === 'download') {\n",
       "        this.handle_save(this, null);\n",
       "    } else {\n",
       "        this.send_message('toolbar_button', { name: name });\n",
       "    }\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.toolbar_button_onmouseover = function (tooltip) {\n",
       "    this.message.textContent = tooltip;\n",
       "};\n",
       "\n",
       "///////////////// REMAINING CONTENT GENERATED BY embed_js.py /////////////////\n",
       "// prettier-ignore\n",
       "var _JSXTOOLS_RESIZE_OBSERVER=function(A){var t,i=new WeakMap,n=new WeakMap,a=new WeakMap,r=new WeakMap,o=new Set;function s(e){if(!(this instanceof s))throw new TypeError(\"Constructor requires 'new' operator\");i.set(this,e)}function h(){throw new TypeError(\"Function is not a constructor\")}function c(e,t,i,n){e=0 in arguments?Number(arguments[0]):0,t=1 in arguments?Number(arguments[1]):0,i=2 in arguments?Number(arguments[2]):0,n=3 in arguments?Number(arguments[3]):0,this.right=(this.x=this.left=e)+(this.width=i),this.bottom=(this.y=this.top=t)+(this.height=n),Object.freeze(this)}function d(){t=requestAnimationFrame(d);var s=new WeakMap,p=new Set;o.forEach((function(t){r.get(t).forEach((function(i){var r=t instanceof window.SVGElement,o=a.get(t),d=r?0:parseFloat(o.paddingTop),f=r?0:parseFloat(o.paddingRight),l=r?0:parseFloat(o.paddingBottom),u=r?0:parseFloat(o.paddingLeft),g=r?0:parseFloat(o.borderTopWidth),m=r?0:parseFloat(o.borderRightWidth),w=r?0:parseFloat(o.borderBottomWidth),b=u+f,F=d+l,v=(r?0:parseFloat(o.borderLeftWidth))+m,W=g+w,y=r?0:t.offsetHeight-W-t.clientHeight,E=r?0:t.offsetWidth-v-t.clientWidth,R=b+v,z=F+W,M=r?t.width:parseFloat(o.width)-R-E,O=r?t.height:parseFloat(o.height)-z-y;if(n.has(t)){var k=n.get(t);if(k[0]===M&&k[1]===O)return}n.set(t,[M,O]);var S=Object.create(h.prototype);S.target=t,S.contentRect=new c(u,d,M,O),s.has(i)||(s.set(i,[]),p.add(i)),s.get(i).push(S)}))})),p.forEach((function(e){i.get(e).call(e,s.get(e),e)}))}return s.prototype.observe=function(i){if(i instanceof window.Element){r.has(i)||(r.set(i,new Set),o.add(i),a.set(i,window.getComputedStyle(i)));var n=r.get(i);n.has(this)||n.add(this),cancelAnimationFrame(t),t=requestAnimationFrame(d)}},s.prototype.unobserve=function(i){if(i instanceof window.Element&&r.has(i)){var n=r.get(i);n.has(this)&&(n.delete(this),n.size||(r.delete(i),o.delete(i))),n.size||r.delete(i),o.size||cancelAnimationFrame(t)}},A.DOMRectReadOnly=c,A.ResizeObserver=s,A.ResizeObserverEntry=h,A}; // eslint-disable-line\n",
       "mpl.toolbar_items = [[\"Home\", \"Reset original view\", \"fa fa-home icon-home\", \"home\"], [\"Back\", \"Back to previous view\", \"fa fa-arrow-left icon-arrow-left\", \"back\"], [\"Forward\", \"Forward to next view\", \"fa fa-arrow-right icon-arrow-right\", \"forward\"], [\"\", \"\", \"\", \"\"], [\"Pan\", \"Left button pans, Right button zooms\\nx/y fixes axis, CTRL fixes aspect\", \"fa fa-arrows icon-move\", \"pan\"], [\"Zoom\", \"Zoom to rectangle\\nx/y fixes axis\", \"fa fa-square-o icon-check-empty\", \"zoom\"], [\"\", \"\", \"\", \"\"], [\"Download\", \"Download plot\", \"fa fa-floppy-o icon-save\", \"download\"]];\n",
       "\n",
       "mpl.extensions = [\"eps\", \"jpeg\", \"pgf\", \"pdf\", \"png\", \"ps\", \"raw\", \"svg\", \"tif\"];\n",
       "\n",
       "mpl.default_extension = \"png\";/* global mpl */\n",
       "\n",
       "var comm_websocket_adapter = function (comm) {\n",
       "    // Create a \"websocket\"-like object which calls the given IPython comm\n",
       "    // object with the appropriate methods. Currently this is a non binary\n",
       "    // socket, so there is still some room for performance tuning.\n",
       "    var ws = {};\n",
       "\n",
       "    ws.binaryType = comm.kernel.ws.binaryType;\n",
       "    ws.readyState = comm.kernel.ws.readyState;\n",
       "    function updateReadyState(_event) {\n",
       "        if (comm.kernel.ws) {\n",
       "            ws.readyState = comm.kernel.ws.readyState;\n",
       "        } else {\n",
       "            ws.readyState = 3; // Closed state.\n",
       "        }\n",
       "    }\n",
       "    comm.kernel.ws.addEventListener('open', updateReadyState);\n",
       "    comm.kernel.ws.addEventListener('close', updateReadyState);\n",
       "    comm.kernel.ws.addEventListener('error', updateReadyState);\n",
       "\n",
       "    ws.close = function () {\n",
       "        comm.close();\n",
       "    };\n",
       "    ws.send = function (m) {\n",
       "        //console.log('sending', m);\n",
       "        comm.send(m);\n",
       "    };\n",
       "    // Register the callback with on_msg.\n",
       "    comm.on_msg(function (msg) {\n",
       "        //console.log('receiving', msg['content']['data'], msg);\n",
       "        var data = msg['content']['data'];\n",
       "        if (data['blob'] !== undefined) {\n",
       "            data = {\n",
       "                data: new Blob(msg['buffers'], { type: data['blob'] }),\n",
       "            };\n",
       "        }\n",
       "        // Pass the mpl event to the overridden (by mpl) onmessage function.\n",
       "        ws.onmessage(data);\n",
       "    });\n",
       "    return ws;\n",
       "};\n",
       "\n",
       "mpl.mpl_figure_comm = function (comm, msg) {\n",
       "    // This is the function which gets called when the mpl process\n",
       "    // starts-up an IPython Comm through the \"matplotlib\" channel.\n",
       "\n",
       "    var id = msg.content.data.id;\n",
       "    // Get hold of the div created by the display call when the Comm\n",
       "    // socket was opened in Python.\n",
       "    var element = document.getElementById(id);\n",
       "    var ws_proxy = comm_websocket_adapter(comm);\n",
       "\n",
       "    function ondownload(figure, _format) {\n",
       "        window.open(figure.canvas.toDataURL());\n",
       "    }\n",
       "\n",
       "    var fig = new mpl.figure(id, ws_proxy, ondownload, element);\n",
       "\n",
       "    // Call onopen now - mpl needs it, as it is assuming we've passed it a real\n",
       "    // web socket which is closed, not our websocket->open comm proxy.\n",
       "    ws_proxy.onopen();\n",
       "\n",
       "    fig.parent_element = element;\n",
       "    fig.cell_info = mpl.find_output_cell(\"<div id='\" + id + \"'></div>\");\n",
       "    if (!fig.cell_info) {\n",
       "        console.error('Failed to find cell for figure', id, fig);\n",
       "        return;\n",
       "    }\n",
       "    fig.cell_info[0].output_area.element.on(\n",
       "        'cleared',\n",
       "        { fig: fig },\n",
       "        fig._remove_fig_handler\n",
       "    );\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.handle_close = function (fig, msg) {\n",
       "    var width = fig.canvas.width / fig.ratio;\n",
       "    fig.cell_info[0].output_area.element.off(\n",
       "        'cleared',\n",
       "        fig._remove_fig_handler\n",
       "    );\n",
       "    fig.resizeObserverInstance.unobserve(fig.canvas_div);\n",
       "\n",
       "    // Update the output cell to use the data from the current canvas.\n",
       "    fig.push_to_output();\n",
       "    var dataURL = fig.canvas.toDataURL();\n",
       "    // Re-enable the keyboard manager in IPython - without this line, in FF,\n",
       "    // the notebook keyboard shortcuts fail.\n",
       "    IPython.keyboard_manager.enable();\n",
       "    fig.parent_element.innerHTML =\n",
       "        '<img src=\"' + dataURL + '\" width=\"' + width + '\">';\n",
       "    fig.close_ws(fig, msg);\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.close_ws = function (fig, msg) {\n",
       "    fig.send_message('closing', msg);\n",
       "    // fig.ws.close()\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.push_to_output = function (_remove_interactive) {\n",
       "    // Turn the data on the canvas into data in the output cell.\n",
       "    var width = this.canvas.width / this.ratio;\n",
       "    var dataURL = this.canvas.toDataURL();\n",
       "    this.cell_info[1]['text/html'] =\n",
       "        '<img src=\"' + dataURL + '\" width=\"' + width + '\">';\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.updated_canvas_event = function () {\n",
       "    // Tell IPython that the notebook contents must change.\n",
       "    IPython.notebook.set_dirty(true);\n",
       "    this.send_message('ack', {});\n",
       "    var fig = this;\n",
       "    // Wait a second, then push the new image to the DOM so\n",
       "    // that it is saved nicely (might be nice to debounce this).\n",
       "    setTimeout(function () {\n",
       "        fig.push_to_output();\n",
       "    }, 1000);\n",
       "};\n",
       "\n",
       "mpl.figure.prototype._init_toolbar = function () {\n",
       "    var fig = this;\n",
       "\n",
       "    var toolbar = document.createElement('div');\n",
       "    toolbar.classList = 'btn-toolbar';\n",
       "    this.root.appendChild(toolbar);\n",
       "\n",
       "    function on_click_closure(name) {\n",
       "        return function (_event) {\n",
       "            return fig.toolbar_button_onclick(name);\n",
       "        };\n",
       "    }\n",
       "\n",
       "    function on_mouseover_closure(tooltip) {\n",
       "        return function (event) {\n",
       "            if (!event.currentTarget.disabled) {\n",
       "                return fig.toolbar_button_onmouseover(tooltip);\n",
       "            }\n",
       "        };\n",
       "    }\n",
       "\n",
       "    fig.buttons = {};\n",
       "    var buttonGroup = document.createElement('div');\n",
       "    buttonGroup.classList = 'btn-group';\n",
       "    var button;\n",
       "    for (var toolbar_ind in mpl.toolbar_items) {\n",
       "        var name = mpl.toolbar_items[toolbar_ind][0];\n",
       "        var tooltip = mpl.toolbar_items[toolbar_ind][1];\n",
       "        var image = mpl.toolbar_items[toolbar_ind][2];\n",
       "        var method_name = mpl.toolbar_items[toolbar_ind][3];\n",
       "\n",
       "        if (!name) {\n",
       "            /* Instead of a spacer, we start a new button group. */\n",
       "            if (buttonGroup.hasChildNodes()) {\n",
       "                toolbar.appendChild(buttonGroup);\n",
       "            }\n",
       "            buttonGroup = document.createElement('div');\n",
       "            buttonGroup.classList = 'btn-group';\n",
       "            continue;\n",
       "        }\n",
       "\n",
       "        button = fig.buttons[name] = document.createElement('button');\n",
       "        button.classList = 'btn btn-default';\n",
       "        button.href = '#';\n",
       "        button.title = name;\n",
       "        button.innerHTML = '<i class=\"fa ' + image + ' fa-lg\"></i>';\n",
       "        button.addEventListener('click', on_click_closure(method_name));\n",
       "        button.addEventListener('mouseover', on_mouseover_closure(tooltip));\n",
       "        buttonGroup.appendChild(button);\n",
       "    }\n",
       "\n",
       "    if (buttonGroup.hasChildNodes()) {\n",
       "        toolbar.appendChild(buttonGroup);\n",
       "    }\n",
       "\n",
       "    // Add the status bar.\n",
       "    var status_bar = document.createElement('span');\n",
       "    status_bar.classList = 'mpl-message pull-right';\n",
       "    toolbar.appendChild(status_bar);\n",
       "    this.message = status_bar;\n",
       "\n",
       "    // Add the close button to the window.\n",
       "    var buttongrp = document.createElement('div');\n",
       "    buttongrp.classList = 'btn-group inline pull-right';\n",
       "    button = document.createElement('button');\n",
       "    button.classList = 'btn btn-mini btn-primary';\n",
       "    button.href = '#';\n",
       "    button.title = 'Stop Interaction';\n",
       "    button.innerHTML = '<i class=\"fa fa-power-off icon-remove icon-large\"></i>';\n",
       "    button.addEventListener('click', function (_evt) {\n",
       "        fig.handle_close(fig, {});\n",
       "    });\n",
       "    button.addEventListener(\n",
       "        'mouseover',\n",
       "        on_mouseover_closure('Stop Interaction')\n",
       "    );\n",
       "    buttongrp.appendChild(button);\n",
       "    var titlebar = this.root.querySelector('.ui-dialog-titlebar');\n",
       "    titlebar.insertBefore(buttongrp, titlebar.firstChild);\n",
       "};\n",
       "\n",
       "mpl.figure.prototype._remove_fig_handler = function (event) {\n",
       "    var fig = event.data.fig;\n",
       "    if (event.target !== this) {\n",
       "        // Ignore bubbled events from children.\n",
       "        return;\n",
       "    }\n",
       "    fig.close_ws(fig, {});\n",
       "};\n",
       "\n",
       "mpl.figure.prototype._root_extra_style = function (el) {\n",
       "    el.style.boxSizing = 'content-box'; // override notebook setting of border-box.\n",
       "};\n",
       "\n",
       "mpl.figure.prototype._canvas_extra_style = function (el) {\n",
       "    // this is important to make the div 'focusable\n",
       "    el.setAttribute('tabindex', 0);\n",
       "    // reach out to IPython and tell the keyboard manager to turn it's self\n",
       "    // off when our div gets focus\n",
       "\n",
       "    // location in version 3\n",
       "    if (IPython.notebook.keyboard_manager) {\n",
       "        IPython.notebook.keyboard_manager.register_events(el);\n",
       "    } else {\n",
       "        // location in version 2\n",
       "        IPython.keyboard_manager.register_events(el);\n",
       "    }\n",
       "};\n",
       "\n",
       "mpl.figure.prototype._key_event_extra = function (event, _name) {\n",
       "    // Check for shift+enter\n",
       "    if (event.shiftKey && event.which === 13) {\n",
       "        this.canvas_div.blur();\n",
       "        // select the cell after this one\n",
       "        var index = IPython.notebook.find_cell_index(this.cell_info[0]);\n",
       "        IPython.notebook.select(index + 1);\n",
       "    }\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.handle_save = function (fig, _msg) {\n",
       "    fig.ondownload(fig, null);\n",
       "};\n",
       "\n",
       "mpl.find_output_cell = function (html_output) {\n",
       "    // Return the cell and output element which can be found *uniquely* in the notebook.\n",
       "    // Note - this is a bit hacky, but it is done because the \"notebook_saving.Notebook\"\n",
       "    // IPython event is triggered only after the cells have been serialised, which for\n",
       "    // our purposes (turning an active figure into a static one), is too late.\n",
       "    var cells = IPython.notebook.get_cells();\n",
       "    var ncells = cells.length;\n",
       "    for (var i = 0; i < ncells; i++) {\n",
       "        var cell = cells[i];\n",
       "        if (cell.cell_type === 'code') {\n",
       "            for (var j = 0; j < cell.output_area.outputs.length; j++) {\n",
       "                var data = cell.output_area.outputs[j];\n",
       "                if (data.data) {\n",
       "                    // IPython >= 3 moved mimebundle to data attribute of output\n",
       "                    data = data.data;\n",
       "                }\n",
       "                if (data['text/html'] === html_output) {\n",
       "                    return [cell, data, j];\n",
       "                }\n",
       "            }\n",
       "        }\n",
       "    }\n",
       "};\n",
       "\n",
       "// Register the function which deals with the matplotlib target/channel.\n",
       "// The kernel may be null if the page has been refreshed.\n",
       "if (IPython.notebook.kernel !== null) {\n",
       "    IPython.notebook.kernel.comm_manager.register_target(\n",
       "        'matplotlib',\n",
       "        mpl.mpl_figure_comm\n",
       "    );\n",
       "}\n"
      ],
      "text/plain": [
       "<IPython.core.display.Javascript object>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
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\" width=\"600\">"
      ],
      "text/plain": [
       "<IPython.core.display.HTML object>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "triplet = create_batch(1)\n",
    "plot_triplet(triplet)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Task 5: Embedding Model"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Model: \"sequential\"\n",
      "_________________________________________________________________\n",
      " Layer (type)                Output Shape              Param #   \n",
      "=================================================================\n",
      " dense (Dense)               (None, 64)                50240     \n",
      "                                                                 \n",
      " dense_1 (Dense)             (None, 64)                4160      \n",
      "                                                                 \n",
      "=================================================================\n",
      "Total params: 54,400\n",
      "Trainable params: 54,400\n",
      "Non-trainable params: 0\n",
      "_________________________________________________________________\n"
     ]
    }
   ],
   "source": [
    "emb_dim = 64\n",
    "\n",
    "embedding_model = tf.keras.models.Sequential([\n",
    "    tf.keras.layers.Dense(64, activation='relu', input_shape=(784,)),\n",
    "    tf.keras.layers.Dense(emb_dim, activation='sigmoid')\n",
    "])\n",
    "\n",
    "embedding_model.summary()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "1/1 [==============================] - 0s 186ms/step\n",
      "[0.5002607  0.57966477 0.6275427  0.6083855  0.47737744 0.29717642\n",
      " 0.58119756 0.48483065 0.59567297 0.45943037 0.4517804  0.4699115\n",
      " 0.42736363 0.56952024 0.44873086 0.41047913 0.4764676  0.47454277\n",
      " 0.41772288 0.5351555  0.6510855  0.51118284 0.5223597  0.57690287\n",
      " 0.44311187 0.55901694 0.522157   0.3527325  0.3656485  0.45517138\n",
      " 0.53113514 0.49276367 0.56059945 0.45507187 0.4344357  0.33005664\n",
      " 0.40776402 0.33360115 0.45720267 0.43871072 0.594989   0.6035348\n",
      " 0.49256667 0.43574357 0.46085733 0.42742133 0.41815725 0.519654\n",
      " 0.4094901  0.5019029  0.39004448 0.42732236 0.6093646  0.3980973\n",
      " 0.4804472  0.516904   0.53907484 0.39671078 0.49142694 0.44048423\n",
      " 0.5132001  0.43515518 0.4711234  0.50146997]\n"
     ]
    }
   ],
   "source": [
    "example = x_train[0]\n",
    "\n",
    "example_emb = embedding_model.predict(np.expand_dims(example, axis=0))[0]\n",
    "\n",
    "print(example_emb)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Task 6: Siamese Network"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 10,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Model: \"model\"\n",
      "__________________________________________________________________________________________________\n",
      " Layer (type)                   Output Shape         Param #     Connected to                     \n",
      "==================================================================================================\n",
      " input_1 (InputLayer)           [(None, 784)]        0           []                               \n",
      "                                                                                                  \n",
      " input_2 (InputLayer)           [(None, 784)]        0           []                               \n",
      "                                                                                                  \n",
      " input_3 (InputLayer)           [(None, 784)]        0           []                               \n",
      "                                                                                                  \n",
      " sequential (Sequential)        (None, 64)           54400       ['input_1[0][0]',                \n",
      "                                                                  'input_2[0][0]',                \n",
      "                                                                  'input_3[0][0]']                \n",
      "                                                                                                  \n",
      " concatenate (Concatenate)      (None, 192)          0           ['sequential[0][0]',             \n",
      "                                                                  'sequential[1][0]',             \n",
      "                                                                  'sequential[2][0]']             \n",
      "                                                                                                  \n",
      "==================================================================================================\n",
      "Total params: 54,400\n",
      "Trainable params: 54,400\n",
      "Non-trainable params: 0\n",
      "__________________________________________________________________________________________________\n"
     ]
    }
   ],
   "source": [
    "in_anc = tf.keras.layers.Input(shape=(784,))\n",
    "in_pos = tf.keras.layers.Input(shape=(784,))\n",
    "in_neg = tf.keras.layers.Input(shape=(784,))\n",
    "\n",
    "em_anc = embedding_model(in_anc)\n",
    "em_pos = embedding_model(in_pos)\n",
    "em_neg = embedding_model(in_neg)\n",
    "\n",
    "out = tf.keras.layers.concatenate([em_anc, em_pos, em_neg], axis=1)\n",
    "\n",
    "net = tf.keras.models.Model(inputs=[in_anc, in_pos, in_neg], outputs=out)\n",
    "\n",
    "net.summary()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Task 7: Triplet Loss\n",
    "\n",
    "A loss function that tries to pull the Embeddings of Anchor and Positive Examples closer, and tries to push the Embeddings of Anchor and Negative Examples away from each other.\n",
    "\n",
    "Root mean square difference between Anchor and Positive examples in a batch of N images is:\n",
    "$\n",
    "\\begin{equation}\n",
    "d_p = \\sqrt{\\frac{\\sum_{i=0}^{N-1}(f(a_i) - f(p_i))^2}{N}}\n",
    "\\end{equation}\n",
    "$\n",
    "\n",
    "Root mean square difference between Anchor and Negative examples in a batch of N images is:\n",
    "$\n",
    "\\begin{equation}\n",
    "d_n = \\sqrt{\\frac{\\sum_{i=0}^{N-1}(f(a_i) - f(n_i))^2}{N}}\n",
    "\\end{equation}\n",
    "$\n",
    "\n",
    "For each example, we want:\n",
    "$\n",
    "\\begin{equation}\n",
    "d_p \\leq d_n\n",
    "\\end{equation}\n",
    "$\n",
    "\n",
    "Therefore,\n",
    "$\n",
    "\\begin{equation}\n",
    "d_p - d_n \\leq 0\n",
    "\\end{equation}\n",
    "$\n",
    "\n",
    "This condition is quite easily satisfied during the training.\n",
    "\n",
    "We will make it non-trivial by adding a margin (alpha):\n",
    "$\n",
    "\\begin{equation}\n",
    "d_p - d_n + \\alpha \\leq 0\n",
    "\\end{equation}\n",
    "$\n",
    "\n",
    "Given the condition above, the Triplet Loss L is defined as:\n",
    "$\n",
    "\\begin{equation}\n",
    "L = max(d_p - d_n + \\alpha, 0)\n",
    "\\end{equation}\n",
    "$"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 11,
   "metadata": {},
   "outputs": [],
   "source": [
    "def triplet_loss(alpha, emb_dim):\n",
    "    def loss_fn(y_true, y_pred):\n",
    "        anc = y_pred[:, :emb_dim]\n",
    "        pos = y_pred[:, emb_dim:2*emb_dim]\n",
    "        neg = y_pred[:, 2*emb_dim:]\n",
    "\n",
    "        dp = tf.reduce_mean(tf.square(anc - pos), axis=1)\n",
    "        dn = tf.reduce_mean(tf.square(anc - neg), axis=1)\n",
    "        \n",
    "        loss = tf.maximum(dp - dn + alpha, 0.)\n",
    "        return loss\n",
    "\n",
    "    return loss_fn"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Task 8: Data Generator"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 12,
   "metadata": {},
   "outputs": [],
   "source": [
    "def data_generator(batch_size, emb_dim):\n",
    "    while True:\n",
    "        x = create_batch(batch_size)\n",
    "        y = np.zeros((batch_size, 3 * emb_dim))\n",
    "        yield x, y"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Task 9: Model Training"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 13,
   "metadata": {},
   "outputs": [],
   "source": [
    "batch_size = 1024\n",
    "epochs = 10\n",
    "steps_per_epoch = int(60000 / batch_size)\n",
    "\n",
    "net.compile(loss=triplet_loss(alpha=0.2, emb_dim=emb_dim), optimizer='adam')\n",
    "\n",
    "X, Y = x_test[:1000], y_test[:1000]"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 14,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "application/javascript": [
       "/* Put everything inside the global mpl namespace */\n",
       "/* global mpl */\n",
       "window.mpl = {};\n",
       "\n",
       "mpl.get_websocket_type = function () {\n",
       "    if (typeof WebSocket !== 'undefined') {\n",
       "        return WebSocket;\n",
       "    } else if (typeof MozWebSocket !== 'undefined') {\n",
       "        return MozWebSocket;\n",
       "    } else {\n",
       "        alert(\n",
       "            'Your browser does not have WebSocket support. ' +\n",
       "                'Please try Chrome, Safari or Firefox ≥ 6. ' +\n",
       "                'Firefox 4 and 5 are also supported but you ' +\n",
       "                'have to enable WebSockets in about:config.'\n",
       "        );\n",
       "    }\n",
       "};\n",
       "\n",
       "mpl.figure = function (figure_id, websocket, ondownload, parent_element) {\n",
       "    this.id = figure_id;\n",
       "\n",
       "    this.ws = websocket;\n",
       "\n",
       "    this.supports_binary = this.ws.binaryType !== undefined;\n",
       "\n",
       "    if (!this.supports_binary) {\n",
       "        var warnings = document.getElementById('mpl-warnings');\n",
       "        if (warnings) {\n",
       "            warnings.style.display = 'block';\n",
       "            warnings.textContent =\n",
       "                'This browser does not support binary websocket messages. ' +\n",
       "                'Performance may be slow.';\n",
       "        }\n",
       "    }\n",
       "\n",
       "    this.imageObj = new Image();\n",
       "\n",
       "    this.context = undefined;\n",
       "    this.message = undefined;\n",
       "    this.canvas = undefined;\n",
       "    this.rubberband_canvas = undefined;\n",
       "    this.rubberband_context = undefined;\n",
       "    this.format_dropdown = undefined;\n",
       "\n",
       "    this.image_mode = 'full';\n",
       "\n",
       "    this.root = document.createElement('div');\n",
       "    this.root.setAttribute('style', 'display: inline-block');\n",
       "    this._root_extra_style(this.root);\n",
       "\n",
       "    parent_element.appendChild(this.root);\n",
       "\n",
       "    this._init_header(this);\n",
       "    this._init_canvas(this);\n",
       "    this._init_toolbar(this);\n",
       "\n",
       "    var fig = this;\n",
       "\n",
       "    this.waiting = false;\n",
       "\n",
       "    this.ws.onopen = function () {\n",
       "        fig.send_message('supports_binary', { value: fig.supports_binary });\n",
       "        fig.send_message('send_image_mode', {});\n",
       "        if (fig.ratio !== 1) {\n",
       "            fig.send_message('set_device_pixel_ratio', {\n",
       "                device_pixel_ratio: fig.ratio,\n",
       "            });\n",
       "        }\n",
       "        fig.send_message('refresh', {});\n",
       "    };\n",
       "\n",
       "    this.imageObj.onload = function () {\n",
       "        if (fig.image_mode === 'full') {\n",
       "            // Full images could contain transparency (where diff images\n",
       "            // almost always do), so we need to clear the canvas so that\n",
       "            // there is no ghosting.\n",
       "            fig.context.clearRect(0, 0, fig.canvas.width, fig.canvas.height);\n",
       "        }\n",
       "        fig.context.drawImage(fig.imageObj, 0, 0);\n",
       "    };\n",
       "\n",
       "    this.imageObj.onunload = function () {\n",
       "        fig.ws.close();\n",
       "    };\n",
       "\n",
       "    this.ws.onmessage = this._make_on_message_function(this);\n",
       "\n",
       "    this.ondownload = ondownload;\n",
       "};\n",
       "\n",
       "mpl.figure.prototype._init_header = function () {\n",
       "    var titlebar = document.createElement('div');\n",
       "    titlebar.classList =\n",
       "        'ui-dialog-titlebar ui-widget-header ui-corner-all ui-helper-clearfix';\n",
       "    var titletext = document.createElement('div');\n",
       "    titletext.classList = 'ui-dialog-title';\n",
       "    titletext.setAttribute(\n",
       "        'style',\n",
       "        'width: 100%; text-align: center; padding: 3px;'\n",
       "    );\n",
       "    titlebar.appendChild(titletext);\n",
       "    this.root.appendChild(titlebar);\n",
       "    this.header = titletext;\n",
       "};\n",
       "\n",
       "mpl.figure.prototype._canvas_extra_style = function (_canvas_div) {};\n",
       "\n",
       "mpl.figure.prototype._root_extra_style = function (_canvas_div) {};\n",
       "\n",
       "mpl.figure.prototype._init_canvas = function () {\n",
       "    var fig = this;\n",
       "\n",
       "    var canvas_div = (this.canvas_div = document.createElement('div'));\n",
       "    canvas_div.setAttribute(\n",
       "        'style',\n",
       "        'border: 1px solid #ddd;' +\n",
       "            'box-sizing: content-box;' +\n",
       "            'clear: both;' +\n",
       "            'min-height: 1px;' +\n",
       "            'min-width: 1px;' +\n",
       "            'outline: 0;' +\n",
       "            'overflow: hidden;' +\n",
       "            'position: relative;' +\n",
       "            'resize: both;'\n",
       "    );\n",
       "\n",
       "    function on_keyboard_event_closure(name) {\n",
       "        return function (event) {\n",
       "            return fig.key_event(event, name);\n",
       "        };\n",
       "    }\n",
       "\n",
       "    canvas_div.addEventListener(\n",
       "        'keydown',\n",
       "        on_keyboard_event_closure('key_press')\n",
       "    );\n",
       "    canvas_div.addEventListener(\n",
       "        'keyup',\n",
       "        on_keyboard_event_closure('key_release')\n",
       "    );\n",
       "\n",
       "    this._canvas_extra_style(canvas_div);\n",
       "    this.root.appendChild(canvas_div);\n",
       "\n",
       "    var canvas = (this.canvas = document.createElement('canvas'));\n",
       "    canvas.classList.add('mpl-canvas');\n",
       "    canvas.setAttribute('style', 'box-sizing: content-box;');\n",
       "\n",
       "    this.context = canvas.getContext('2d');\n",
       "\n",
       "    var backingStore =\n",
       "        this.context.backingStorePixelRatio ||\n",
       "        this.context.webkitBackingStorePixelRatio ||\n",
       "        this.context.mozBackingStorePixelRatio ||\n",
       "        this.context.msBackingStorePixelRatio ||\n",
       "        this.context.oBackingStorePixelRatio ||\n",
       "        this.context.backingStorePixelRatio ||\n",
       "        1;\n",
       "\n",
       "    this.ratio = (window.devicePixelRatio || 1) / backingStore;\n",
       "\n",
       "    var rubberband_canvas = (this.rubberband_canvas = document.createElement(\n",
       "        'canvas'\n",
       "    ));\n",
       "    rubberband_canvas.setAttribute(\n",
       "        'style',\n",
       "        'box-sizing: content-box; position: absolute; left: 0; top: 0; z-index: 1;'\n",
       "    );\n",
       "\n",
       "    // Apply a ponyfill if ResizeObserver is not implemented by browser.\n",
       "    if (this.ResizeObserver === undefined) {\n",
       "        if (window.ResizeObserver !== undefined) {\n",
       "            this.ResizeObserver = window.ResizeObserver;\n",
       "        } else {\n",
       "            var obs = _JSXTOOLS_RESIZE_OBSERVER({});\n",
       "            this.ResizeObserver = obs.ResizeObserver;\n",
       "        }\n",
       "    }\n",
       "\n",
       "    this.resizeObserverInstance = new this.ResizeObserver(function (entries) {\n",
       "        var nentries = entries.length;\n",
       "        for (var i = 0; i < nentries; i++) {\n",
       "            var entry = entries[i];\n",
       "            var width, height;\n",
       "            if (entry.contentBoxSize) {\n",
       "                if (entry.contentBoxSize instanceof Array) {\n",
       "                    // Chrome 84 implements new version of spec.\n",
       "                    width = entry.contentBoxSize[0].inlineSize;\n",
       "                    height = entry.contentBoxSize[0].blockSize;\n",
       "                } else {\n",
       "                    // Firefox implements old version of spec.\n",
       "                    width = entry.contentBoxSize.inlineSize;\n",
       "                    height = entry.contentBoxSize.blockSize;\n",
       "                }\n",
       "            } else {\n",
       "                // Chrome <84 implements even older version of spec.\n",
       "                width = entry.contentRect.width;\n",
       "                height = entry.contentRect.height;\n",
       "            }\n",
       "\n",
       "            // Keep the size of the canvas and rubber band canvas in sync with\n",
       "            // the canvas container.\n",
       "            if (entry.devicePixelContentBoxSize) {\n",
       "                // Chrome 84 implements new version of spec.\n",
       "                canvas.setAttribute(\n",
       "                    'width',\n",
       "                    entry.devicePixelContentBoxSize[0].inlineSize\n",
       "                );\n",
       "                canvas.setAttribute(\n",
       "                    'height',\n",
       "                    entry.devicePixelContentBoxSize[0].blockSize\n",
       "                );\n",
       "            } else {\n",
       "                canvas.setAttribute('width', width * fig.ratio);\n",
       "                canvas.setAttribute('height', height * fig.ratio);\n",
       "            }\n",
       "            canvas.setAttribute(\n",
       "                'style',\n",
       "                'width: ' + width + 'px; height: ' + height + 'px;'\n",
       "            );\n",
       "\n",
       "            rubberband_canvas.setAttribute('width', width);\n",
       "            rubberband_canvas.setAttribute('height', height);\n",
       "\n",
       "            // And update the size in Python. We ignore the initial 0/0 size\n",
       "            // that occurs as the element is placed into the DOM, which should\n",
       "            // otherwise not happen due to the minimum size styling.\n",
       "            if (fig.ws.readyState == 1 && width != 0 && height != 0) {\n",
       "                fig.request_resize(width, height);\n",
       "            }\n",
       "        }\n",
       "    });\n",
       "    this.resizeObserverInstance.observe(canvas_div);\n",
       "\n",
       "    function on_mouse_event_closure(name) {\n",
       "        return function (event) {\n",
       "            return fig.mouse_event(event, name);\n",
       "        };\n",
       "    }\n",
       "\n",
       "    rubberband_canvas.addEventListener(\n",
       "        'mousedown',\n",
       "        on_mouse_event_closure('button_press')\n",
       "    );\n",
       "    rubberband_canvas.addEventListener(\n",
       "        'mouseup',\n",
       "        on_mouse_event_closure('button_release')\n",
       "    );\n",
       "    rubberband_canvas.addEventListener(\n",
       "        'dblclick',\n",
       "        on_mouse_event_closure('dblclick')\n",
       "    );\n",
       "    // Throttle sequential mouse events to 1 every 20ms.\n",
       "    rubberband_canvas.addEventListener(\n",
       "        'mousemove',\n",
       "        on_mouse_event_closure('motion_notify')\n",
       "    );\n",
       "\n",
       "    rubberband_canvas.addEventListener(\n",
       "        'mouseenter',\n",
       "        on_mouse_event_closure('figure_enter')\n",
       "    );\n",
       "    rubberband_canvas.addEventListener(\n",
       "        'mouseleave',\n",
       "        on_mouse_event_closure('figure_leave')\n",
       "    );\n",
       "\n",
       "    canvas_div.addEventListener('wheel', function (event) {\n",
       "        if (event.deltaY < 0) {\n",
       "            event.step = 1;\n",
       "        } else {\n",
       "            event.step = -1;\n",
       "        }\n",
       "        on_mouse_event_closure('scroll')(event);\n",
       "    });\n",
       "\n",
       "    canvas_div.appendChild(canvas);\n",
       "    canvas_div.appendChild(rubberband_canvas);\n",
       "\n",
       "    this.rubberband_context = rubberband_canvas.getContext('2d');\n",
       "    this.rubberband_context.strokeStyle = '#000000';\n",
       "\n",
       "    this._resize_canvas = function (width, height, forward) {\n",
       "        if (forward) {\n",
       "            canvas_div.style.width = width + 'px';\n",
       "            canvas_div.style.height = height + 'px';\n",
       "        }\n",
       "    };\n",
       "\n",
       "    // Disable right mouse context menu.\n",
       "    this.rubberband_canvas.addEventListener('contextmenu', function (_e) {\n",
       "        event.preventDefault();\n",
       "        return false;\n",
       "    });\n",
       "\n",
       "    function set_focus() {\n",
       "        canvas.focus();\n",
       "        canvas_div.focus();\n",
       "    }\n",
       "\n",
       "    window.setTimeout(set_focus, 100);\n",
       "};\n",
       "\n",
       "mpl.figure.prototype._init_toolbar = function () {\n",
       "    var fig = this;\n",
       "\n",
       "    var toolbar = document.createElement('div');\n",
       "    toolbar.classList = 'mpl-toolbar';\n",
       "    this.root.appendChild(toolbar);\n",
       "\n",
       "    function on_click_closure(name) {\n",
       "        return function (_event) {\n",
       "            return fig.toolbar_button_onclick(name);\n",
       "        };\n",
       "    }\n",
       "\n",
       "    function on_mouseover_closure(tooltip) {\n",
       "        return function (event) {\n",
       "            if (!event.currentTarget.disabled) {\n",
       "                return fig.toolbar_button_onmouseover(tooltip);\n",
       "            }\n",
       "        };\n",
       "    }\n",
       "\n",
       "    fig.buttons = {};\n",
       "    var buttonGroup = document.createElement('div');\n",
       "    buttonGroup.classList = 'mpl-button-group';\n",
       "    for (var toolbar_ind in mpl.toolbar_items) {\n",
       "        var name = mpl.toolbar_items[toolbar_ind][0];\n",
       "        var tooltip = mpl.toolbar_items[toolbar_ind][1];\n",
       "        var image = mpl.toolbar_items[toolbar_ind][2];\n",
       "        var method_name = mpl.toolbar_items[toolbar_ind][3];\n",
       "\n",
       "        if (!name) {\n",
       "            /* Instead of a spacer, we start a new button group. */\n",
       "            if (buttonGroup.hasChildNodes()) {\n",
       "                toolbar.appendChild(buttonGroup);\n",
       "            }\n",
       "            buttonGroup = document.createElement('div');\n",
       "            buttonGroup.classList = 'mpl-button-group';\n",
       "            continue;\n",
       "        }\n",
       "\n",
       "        var button = (fig.buttons[name] = document.createElement('button'));\n",
       "        button.classList = 'mpl-widget';\n",
       "        button.setAttribute('role', 'button');\n",
       "        button.setAttribute('aria-disabled', 'false');\n",
       "        button.addEventListener('click', on_click_closure(method_name));\n",
       "        button.addEventListener('mouseover', on_mouseover_closure(tooltip));\n",
       "\n",
       "        var icon_img = document.createElement('img');\n",
       "        icon_img.src = '_images/' + image + '.png';\n",
       "        icon_img.srcset = '_images/' + image + '_large.png 2x';\n",
       "        icon_img.alt = tooltip;\n",
       "        button.appendChild(icon_img);\n",
       "\n",
       "        buttonGroup.appendChild(button);\n",
       "    }\n",
       "\n",
       "    if (buttonGroup.hasChildNodes()) {\n",
       "        toolbar.appendChild(buttonGroup);\n",
       "    }\n",
       "\n",
       "    var fmt_picker = document.createElement('select');\n",
       "    fmt_picker.classList = 'mpl-widget';\n",
       "    toolbar.appendChild(fmt_picker);\n",
       "    this.format_dropdown = fmt_picker;\n",
       "\n",
       "    for (var ind in mpl.extensions) {\n",
       "        var fmt = mpl.extensions[ind];\n",
       "        var option = document.createElement('option');\n",
       "        option.selected = fmt === mpl.default_extension;\n",
       "        option.innerHTML = fmt;\n",
       "        fmt_picker.appendChild(option);\n",
       "    }\n",
       "\n",
       "    var status_bar = document.createElement('span');\n",
       "    status_bar.classList = 'mpl-message';\n",
       "    toolbar.appendChild(status_bar);\n",
       "    this.message = status_bar;\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.request_resize = function (x_pixels, y_pixels) {\n",
       "    // Request matplotlib to resize the figure. Matplotlib will then trigger a resize in the client,\n",
       "    // which will in turn request a refresh of the image.\n",
       "    this.send_message('resize', { width: x_pixels, height: y_pixels });\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.send_message = function (type, properties) {\n",
       "    properties['type'] = type;\n",
       "    properties['figure_id'] = this.id;\n",
       "    this.ws.send(JSON.stringify(properties));\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.send_draw_message = function () {\n",
       "    if (!this.waiting) {\n",
       "        this.waiting = true;\n",
       "        this.ws.send(JSON.stringify({ type: 'draw', figure_id: this.id }));\n",
       "    }\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.handle_save = function (fig, _msg) {\n",
       "    var format_dropdown = fig.format_dropdown;\n",
       "    var format = format_dropdown.options[format_dropdown.selectedIndex].value;\n",
       "    fig.ondownload(fig, format);\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.handle_resize = function (fig, msg) {\n",
       "    var size = msg['size'];\n",
       "    if (size[0] !== fig.canvas.width || size[1] !== fig.canvas.height) {\n",
       "        fig._resize_canvas(size[0], size[1], msg['forward']);\n",
       "        fig.send_message('refresh', {});\n",
       "    }\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.handle_rubberband = function (fig, msg) {\n",
       "    var x0 = msg['x0'] / fig.ratio;\n",
       "    var y0 = (fig.canvas.height - msg['y0']) / fig.ratio;\n",
       "    var x1 = msg['x1'] / fig.ratio;\n",
       "    var y1 = (fig.canvas.height - msg['y1']) / fig.ratio;\n",
       "    x0 = Math.floor(x0) + 0.5;\n",
       "    y0 = Math.floor(y0) + 0.5;\n",
       "    x1 = Math.floor(x1) + 0.5;\n",
       "    y1 = Math.floor(y1) + 0.5;\n",
       "    var min_x = Math.min(x0, x1);\n",
       "    var min_y = Math.min(y0, y1);\n",
       "    var width = Math.abs(x1 - x0);\n",
       "    var height = Math.abs(y1 - y0);\n",
       "\n",
       "    fig.rubberband_context.clearRect(\n",
       "        0,\n",
       "        0,\n",
       "        fig.canvas.width / fig.ratio,\n",
       "        fig.canvas.height / fig.ratio\n",
       "    );\n",
       "\n",
       "    fig.rubberband_context.strokeRect(min_x, min_y, width, height);\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.handle_figure_label = function (fig, msg) {\n",
       "    // Updates the figure title.\n",
       "    fig.header.textContent = msg['label'];\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.handle_cursor = function (fig, msg) {\n",
       "    fig.rubberband_canvas.style.cursor = msg['cursor'];\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.handle_message = function (fig, msg) {\n",
       "    fig.message.textContent = msg['message'];\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.handle_draw = function (fig, _msg) {\n",
       "    // Request the server to send over a new figure.\n",
       "    fig.send_draw_message();\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.handle_image_mode = function (fig, msg) {\n",
       "    fig.image_mode = msg['mode'];\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.handle_history_buttons = function (fig, msg) {\n",
       "    for (var key in msg) {\n",
       "        if (!(key in fig.buttons)) {\n",
       "            continue;\n",
       "        }\n",
       "        fig.buttons[key].disabled = !msg[key];\n",
       "        fig.buttons[key].setAttribute('aria-disabled', !msg[key]);\n",
       "    }\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.handle_navigate_mode = function (fig, msg) {\n",
       "    if (msg['mode'] === 'PAN') {\n",
       "        fig.buttons['Pan'].classList.add('active');\n",
       "        fig.buttons['Zoom'].classList.remove('active');\n",
       "    } else if (msg['mode'] === 'ZOOM') {\n",
       "        fig.buttons['Pan'].classList.remove('active');\n",
       "        fig.buttons['Zoom'].classList.add('active');\n",
       "    } else {\n",
       "        fig.buttons['Pan'].classList.remove('active');\n",
       "        fig.buttons['Zoom'].classList.remove('active');\n",
       "    }\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.updated_canvas_event = function () {\n",
       "    // Called whenever the canvas gets updated.\n",
       "    this.send_message('ack', {});\n",
       "};\n",
       "\n",
       "// A function to construct a web socket function for onmessage handling.\n",
       "// Called in the figure constructor.\n",
       "mpl.figure.prototype._make_on_message_function = function (fig) {\n",
       "    return function socket_on_message(evt) {\n",
       "        if (evt.data instanceof Blob) {\n",
       "            var img = evt.data;\n",
       "            if (img.type !== 'image/png') {\n",
       "                /* FIXME: We get \"Resource interpreted as Image but\n",
       "                 * transferred with MIME type text/plain:\" errors on\n",
       "                 * Chrome.  But how to set the MIME type?  It doesn't seem\n",
       "                 * to be part of the websocket stream */\n",
       "                img.type = 'image/png';\n",
       "            }\n",
       "\n",
       "            /* Free the memory for the previous frames */\n",
       "            if (fig.imageObj.src) {\n",
       "                (window.URL || window.webkitURL).revokeObjectURL(\n",
       "                    fig.imageObj.src\n",
       "                );\n",
       "            }\n",
       "\n",
       "            fig.imageObj.src = (window.URL || window.webkitURL).createObjectURL(\n",
       "                img\n",
       "            );\n",
       "            fig.updated_canvas_event();\n",
       "            fig.waiting = false;\n",
       "            return;\n",
       "        } else if (\n",
       "            typeof evt.data === 'string' &&\n",
       "            evt.data.slice(0, 21) === 'data:image/png;base64'\n",
       "        ) {\n",
       "            fig.imageObj.src = evt.data;\n",
       "            fig.updated_canvas_event();\n",
       "            fig.waiting = false;\n",
       "            return;\n",
       "        }\n",
       "\n",
       "        var msg = JSON.parse(evt.data);\n",
       "        var msg_type = msg['type'];\n",
       "\n",
       "        // Call the  \"handle_{type}\" callback, which takes\n",
       "        // the figure and JSON message as its only arguments.\n",
       "        try {\n",
       "            var callback = fig['handle_' + msg_type];\n",
       "        } catch (e) {\n",
       "            console.log(\n",
       "                \"No handler for the '\" + msg_type + \"' message type: \",\n",
       "                msg\n",
       "            );\n",
       "            return;\n",
       "        }\n",
       "\n",
       "        if (callback) {\n",
       "            try {\n",
       "                // console.log(\"Handling '\" + msg_type + \"' message: \", msg);\n",
       "                callback(fig, msg);\n",
       "            } catch (e) {\n",
       "                console.log(\n",
       "                    \"Exception inside the 'handler_\" + msg_type + \"' callback:\",\n",
       "                    e,\n",
       "                    e.stack,\n",
       "                    msg\n",
       "                );\n",
       "            }\n",
       "        }\n",
       "    };\n",
       "};\n",
       "\n",
       "// from https://stackoverflow.com/questions/1114465/getting-mouse-location-in-canvas\n",
       "mpl.findpos = function (e) {\n",
       "    //this section is from http://www.quirksmode.org/js/events_properties.html\n",
       "    var targ;\n",
       "    if (!e) {\n",
       "        e = window.event;\n",
       "    }\n",
       "    if (e.target) {\n",
       "        targ = e.target;\n",
       "    } else if (e.srcElement) {\n",
       "        targ = e.srcElement;\n",
       "    }\n",
       "    if (targ.nodeType === 3) {\n",
       "        // defeat Safari bug\n",
       "        targ = targ.parentNode;\n",
       "    }\n",
       "\n",
       "    // pageX,Y are the mouse positions relative to the document\n",
       "    var boundingRect = targ.getBoundingClientRect();\n",
       "    var x = e.pageX - (boundingRect.left + document.body.scrollLeft);\n",
       "    var y = e.pageY - (boundingRect.top + document.body.scrollTop);\n",
       "\n",
       "    return { x: x, y: y };\n",
       "};\n",
       "\n",
       "/*\n",
       " * return a copy of an object with only non-object keys\n",
       " * we need this to avoid circular references\n",
       " * https://stackoverflow.com/a/24161582/3208463\n",
       " */\n",
       "function simpleKeys(original) {\n",
       "    return Object.keys(original).reduce(function (obj, key) {\n",
       "        if (typeof original[key] !== 'object') {\n",
       "            obj[key] = original[key];\n",
       "        }\n",
       "        return obj;\n",
       "    }, {});\n",
       "}\n",
       "\n",
       "mpl.figure.prototype.mouse_event = function (event, name) {\n",
       "    var canvas_pos = mpl.findpos(event);\n",
       "\n",
       "    if (name === 'button_press') {\n",
       "        this.canvas.focus();\n",
       "        this.canvas_div.focus();\n",
       "    }\n",
       "\n",
       "    var x = canvas_pos.x * this.ratio;\n",
       "    var y = canvas_pos.y * this.ratio;\n",
       "\n",
       "    this.send_message(name, {\n",
       "        x: x,\n",
       "        y: y,\n",
       "        button: event.button,\n",
       "        step: event.step,\n",
       "        guiEvent: simpleKeys(event),\n",
       "    });\n",
       "\n",
       "    /* This prevents the web browser from automatically changing to\n",
       "     * the text insertion cursor when the button is pressed.  We want\n",
       "     * to control all of the cursor setting manually through the\n",
       "     * 'cursor' event from matplotlib */\n",
       "    event.preventDefault();\n",
       "    return false;\n",
       "};\n",
       "\n",
       "mpl.figure.prototype._key_event_extra = function (_event, _name) {\n",
       "    // Handle any extra behaviour associated with a key event\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.key_event = function (event, name) {\n",
       "    // Prevent repeat events\n",
       "    if (name === 'key_press') {\n",
       "        if (event.key === this._key) {\n",
       "            return;\n",
       "        } else {\n",
       "            this._key = event.key;\n",
       "        }\n",
       "    }\n",
       "    if (name === 'key_release') {\n",
       "        this._key = null;\n",
       "    }\n",
       "\n",
       "    var value = '';\n",
       "    if (event.ctrlKey && event.key !== 'Control') {\n",
       "        value += 'ctrl+';\n",
       "    }\n",
       "    else if (event.altKey && event.key !== 'Alt') {\n",
       "        value += 'alt+';\n",
       "    }\n",
       "    else if (event.shiftKey && event.key !== 'Shift') {\n",
       "        value += 'shift+';\n",
       "    }\n",
       "\n",
       "    value += 'k' + event.key;\n",
       "\n",
       "    this._key_event_extra(event, name);\n",
       "\n",
       "    this.send_message(name, { key: value, guiEvent: simpleKeys(event) });\n",
       "    return false;\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.toolbar_button_onclick = function (name) {\n",
       "    if (name === 'download') {\n",
       "        this.handle_save(this, null);\n",
       "    } else {\n",
       "        this.send_message('toolbar_button', { name: name });\n",
       "    }\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.toolbar_button_onmouseover = function (tooltip) {\n",
       "    this.message.textContent = tooltip;\n",
       "};\n",
       "\n",
       "///////////////// REMAINING CONTENT GENERATED BY embed_js.py /////////////////\n",
       "// prettier-ignore\n",
       "var _JSXTOOLS_RESIZE_OBSERVER=function(A){var t,i=new WeakMap,n=new WeakMap,a=new WeakMap,r=new WeakMap,o=new Set;function s(e){if(!(this instanceof s))throw new TypeError(\"Constructor requires 'new' operator\");i.set(this,e)}function h(){throw new TypeError(\"Function is not a constructor\")}function c(e,t,i,n){e=0 in arguments?Number(arguments[0]):0,t=1 in arguments?Number(arguments[1]):0,i=2 in arguments?Number(arguments[2]):0,n=3 in arguments?Number(arguments[3]):0,this.right=(this.x=this.left=e)+(this.width=i),this.bottom=(this.y=this.top=t)+(this.height=n),Object.freeze(this)}function d(){t=requestAnimationFrame(d);var s=new WeakMap,p=new Set;o.forEach((function(t){r.get(t).forEach((function(i){var r=t instanceof window.SVGElement,o=a.get(t),d=r?0:parseFloat(o.paddingTop),f=r?0:parseFloat(o.paddingRight),l=r?0:parseFloat(o.paddingBottom),u=r?0:parseFloat(o.paddingLeft),g=r?0:parseFloat(o.borderTopWidth),m=r?0:parseFloat(o.borderRightWidth),w=r?0:parseFloat(o.borderBottomWidth),b=u+f,F=d+l,v=(r?0:parseFloat(o.borderLeftWidth))+m,W=g+w,y=r?0:t.offsetHeight-W-t.clientHeight,E=r?0:t.offsetWidth-v-t.clientWidth,R=b+v,z=F+W,M=r?t.width:parseFloat(o.width)-R-E,O=r?t.height:parseFloat(o.height)-z-y;if(n.has(t)){var k=n.get(t);if(k[0]===M&&k[1]===O)return}n.set(t,[M,O]);var S=Object.create(h.prototype);S.target=t,S.contentRect=new c(u,d,M,O),s.has(i)||(s.set(i,[]),p.add(i)),s.get(i).push(S)}))})),p.forEach((function(e){i.get(e).call(e,s.get(e),e)}))}return s.prototype.observe=function(i){if(i instanceof window.Element){r.has(i)||(r.set(i,new Set),o.add(i),a.set(i,window.getComputedStyle(i)));var n=r.get(i);n.has(this)||n.add(this),cancelAnimationFrame(t),t=requestAnimationFrame(d)}},s.prototype.unobserve=function(i){if(i instanceof window.Element&&r.has(i)){var n=r.get(i);n.has(this)&&(n.delete(this),n.size||(r.delete(i),o.delete(i))),n.size||r.delete(i),o.size||cancelAnimationFrame(t)}},A.DOMRectReadOnly=c,A.ResizeObserver=s,A.ResizeObserverEntry=h,A}; // eslint-disable-line\n",
       "mpl.toolbar_items = [[\"Home\", \"Reset original view\", \"fa fa-home icon-home\", \"home\"], [\"Back\", \"Back to previous view\", \"fa fa-arrow-left icon-arrow-left\", \"back\"], [\"Forward\", \"Forward to next view\", \"fa fa-arrow-right icon-arrow-right\", \"forward\"], [\"\", \"\", \"\", \"\"], [\"Pan\", \"Left button pans, Right button zooms\\nx/y fixes axis, CTRL fixes aspect\", \"fa fa-arrows icon-move\", \"pan\"], [\"Zoom\", \"Zoom to rectangle\\nx/y fixes axis\", \"fa fa-square-o icon-check-empty\", \"zoom\"], [\"\", \"\", \"\", \"\"], [\"Download\", \"Download plot\", \"fa fa-floppy-o icon-save\", \"download\"]];\n",
       "\n",
       "mpl.extensions = [\"eps\", \"jpeg\", \"pgf\", \"pdf\", \"png\", \"ps\", \"raw\", \"svg\", \"tif\"];\n",
       "\n",
       "mpl.default_extension = \"png\";/* global mpl */\n",
       "\n",
       "var comm_websocket_adapter = function (comm) {\n",
       "    // Create a \"websocket\"-like object which calls the given IPython comm\n",
       "    // object with the appropriate methods. Currently this is a non binary\n",
       "    // socket, so there is still some room for performance tuning.\n",
       "    var ws = {};\n",
       "\n",
       "    ws.binaryType = comm.kernel.ws.binaryType;\n",
       "    ws.readyState = comm.kernel.ws.readyState;\n",
       "    function updateReadyState(_event) {\n",
       "        if (comm.kernel.ws) {\n",
       "            ws.readyState = comm.kernel.ws.readyState;\n",
       "        } else {\n",
       "            ws.readyState = 3; // Closed state.\n",
       "        }\n",
       "    }\n",
       "    comm.kernel.ws.addEventListener('open', updateReadyState);\n",
       "    comm.kernel.ws.addEventListener('close', updateReadyState);\n",
       "    comm.kernel.ws.addEventListener('error', updateReadyState);\n",
       "\n",
       "    ws.close = function () {\n",
       "        comm.close();\n",
       "    };\n",
       "    ws.send = function (m) {\n",
       "        //console.log('sending', m);\n",
       "        comm.send(m);\n",
       "    };\n",
       "    // Register the callback with on_msg.\n",
       "    comm.on_msg(function (msg) {\n",
       "        //console.log('receiving', msg['content']['data'], msg);\n",
       "        var data = msg['content']['data'];\n",
       "        if (data['blob'] !== undefined) {\n",
       "            data = {\n",
       "                data: new Blob(msg['buffers'], { type: data['blob'] }),\n",
       "            };\n",
       "        }\n",
       "        // Pass the mpl event to the overridden (by mpl) onmessage function.\n",
       "        ws.onmessage(data);\n",
       "    });\n",
       "    return ws;\n",
       "};\n",
       "\n",
       "mpl.mpl_figure_comm = function (comm, msg) {\n",
       "    // This is the function which gets called when the mpl process\n",
       "    // starts-up an IPython Comm through the \"matplotlib\" channel.\n",
       "\n",
       "    var id = msg.content.data.id;\n",
       "    // Get hold of the div created by the display call when the Comm\n",
       "    // socket was opened in Python.\n",
       "    var element = document.getElementById(id);\n",
       "    var ws_proxy = comm_websocket_adapter(comm);\n",
       "\n",
       "    function ondownload(figure, _format) {\n",
       "        window.open(figure.canvas.toDataURL());\n",
       "    }\n",
       "\n",
       "    var fig = new mpl.figure(id, ws_proxy, ondownload, element);\n",
       "\n",
       "    // Call onopen now - mpl needs it, as it is assuming we've passed it a real\n",
       "    // web socket which is closed, not our websocket->open comm proxy.\n",
       "    ws_proxy.onopen();\n",
       "\n",
       "    fig.parent_element = element;\n",
       "    fig.cell_info = mpl.find_output_cell(\"<div id='\" + id + \"'></div>\");\n",
       "    if (!fig.cell_info) {\n",
       "        console.error('Failed to find cell for figure', id, fig);\n",
       "        return;\n",
       "    }\n",
       "    fig.cell_info[0].output_area.element.on(\n",
       "        'cleared',\n",
       "        { fig: fig },\n",
       "        fig._remove_fig_handler\n",
       "    );\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.handle_close = function (fig, msg) {\n",
       "    var width = fig.canvas.width / fig.ratio;\n",
       "    fig.cell_info[0].output_area.element.off(\n",
       "        'cleared',\n",
       "        fig._remove_fig_handler\n",
       "    );\n",
       "    fig.resizeObserverInstance.unobserve(fig.canvas_div);\n",
       "\n",
       "    // Update the output cell to use the data from the current canvas.\n",
       "    fig.push_to_output();\n",
       "    var dataURL = fig.canvas.toDataURL();\n",
       "    // Re-enable the keyboard manager in IPython - without this line, in FF,\n",
       "    // the notebook keyboard shortcuts fail.\n",
       "    IPython.keyboard_manager.enable();\n",
       "    fig.parent_element.innerHTML =\n",
       "        '<img src=\"' + dataURL + '\" width=\"' + width + '\">';\n",
       "    fig.close_ws(fig, msg);\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.close_ws = function (fig, msg) {\n",
       "    fig.send_message('closing', msg);\n",
       "    // fig.ws.close()\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.push_to_output = function (_remove_interactive) {\n",
       "    // Turn the data on the canvas into data in the output cell.\n",
       "    var width = this.canvas.width / this.ratio;\n",
       "    var dataURL = this.canvas.toDataURL();\n",
       "    this.cell_info[1]['text/html'] =\n",
       "        '<img src=\"' + dataURL + '\" width=\"' + width + '\">';\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.updated_canvas_event = function () {\n",
       "    // Tell IPython that the notebook contents must change.\n",
       "    IPython.notebook.set_dirty(true);\n",
       "    this.send_message('ack', {});\n",
       "    var fig = this;\n",
       "    // Wait a second, then push the new image to the DOM so\n",
       "    // that it is saved nicely (might be nice to debounce this).\n",
       "    setTimeout(function () {\n",
       "        fig.push_to_output();\n",
       "    }, 1000);\n",
       "};\n",
       "\n",
       "mpl.figure.prototype._init_toolbar = function () {\n",
       "    var fig = this;\n",
       "\n",
       "    var toolbar = document.createElement('div');\n",
       "    toolbar.classList = 'btn-toolbar';\n",
       "    this.root.appendChild(toolbar);\n",
       "\n",
       "    function on_click_closure(name) {\n",
       "        return function (_event) {\n",
       "            return fig.toolbar_button_onclick(name);\n",
       "        };\n",
       "    }\n",
       "\n",
       "    function on_mouseover_closure(tooltip) {\n",
       "        return function (event) {\n",
       "            if (!event.currentTarget.disabled) {\n",
       "                return fig.toolbar_button_onmouseover(tooltip);\n",
       "            }\n",
       "        };\n",
       "    }\n",
       "\n",
       "    fig.buttons = {};\n",
       "    var buttonGroup = document.createElement('div');\n",
       "    buttonGroup.classList = 'btn-group';\n",
       "    var button;\n",
       "    for (var toolbar_ind in mpl.toolbar_items) {\n",
       "        var name = mpl.toolbar_items[toolbar_ind][0];\n",
       "        var tooltip = mpl.toolbar_items[toolbar_ind][1];\n",
       "        var image = mpl.toolbar_items[toolbar_ind][2];\n",
       "        var method_name = mpl.toolbar_items[toolbar_ind][3];\n",
       "\n",
       "        if (!name) {\n",
       "            /* Instead of a spacer, we start a new button group. */\n",
       "            if (buttonGroup.hasChildNodes()) {\n",
       "                toolbar.appendChild(buttonGroup);\n",
       "            }\n",
       "            buttonGroup = document.createElement('div');\n",
       "            buttonGroup.classList = 'btn-group';\n",
       "            continue;\n",
       "        }\n",
       "\n",
       "        button = fig.buttons[name] = document.createElement('button');\n",
       "        button.classList = 'btn btn-default';\n",
       "        button.href = '#';\n",
       "        button.title = name;\n",
       "        button.innerHTML = '<i class=\"fa ' + image + ' fa-lg\"></i>';\n",
       "        button.addEventListener('click', on_click_closure(method_name));\n",
       "        button.addEventListener('mouseover', on_mouseover_closure(tooltip));\n",
       "        buttonGroup.appendChild(button);\n",
       "    }\n",
       "\n",
       "    if (buttonGroup.hasChildNodes()) {\n",
       "        toolbar.appendChild(buttonGroup);\n",
       "    }\n",
       "\n",
       "    // Add the status bar.\n",
       "    var status_bar = document.createElement('span');\n",
       "    status_bar.classList = 'mpl-message pull-right';\n",
       "    toolbar.appendChild(status_bar);\n",
       "    this.message = status_bar;\n",
       "\n",
       "    // Add the close button to the window.\n",
       "    var buttongrp = document.createElement('div');\n",
       "    buttongrp.classList = 'btn-group inline pull-right';\n",
       "    button = document.createElement('button');\n",
       "    button.classList = 'btn btn-mini btn-primary';\n",
       "    button.href = '#';\n",
       "    button.title = 'Stop Interaction';\n",
       "    button.innerHTML = '<i class=\"fa fa-power-off icon-remove icon-large\"></i>';\n",
       "    button.addEventListener('click', function (_evt) {\n",
       "        fig.handle_close(fig, {});\n",
       "    });\n",
       "    button.addEventListener(\n",
       "        'mouseover',\n",
       "        on_mouseover_closure('Stop Interaction')\n",
       "    );\n",
       "    buttongrp.appendChild(button);\n",
       "    var titlebar = this.root.querySelector('.ui-dialog-titlebar');\n",
       "    titlebar.insertBefore(buttongrp, titlebar.firstChild);\n",
       "};\n",
       "\n",
       "mpl.figure.prototype._remove_fig_handler = function (event) {\n",
       "    var fig = event.data.fig;\n",
       "    if (event.target !== this) {\n",
       "        // Ignore bubbled events from children.\n",
       "        return;\n",
       "    }\n",
       "    fig.close_ws(fig, {});\n",
       "};\n",
       "\n",
       "mpl.figure.prototype._root_extra_style = function (el) {\n",
       "    el.style.boxSizing = 'content-box'; // override notebook setting of border-box.\n",
       "};\n",
       "\n",
       "mpl.figure.prototype._canvas_extra_style = function (el) {\n",
       "    // this is important to make the div 'focusable\n",
       "    el.setAttribute('tabindex', 0);\n",
       "    // reach out to IPython and tell the keyboard manager to turn it's self\n",
       "    // off when our div gets focus\n",
       "\n",
       "    // location in version 3\n",
       "    if (IPython.notebook.keyboard_manager) {\n",
       "        IPython.notebook.keyboard_manager.register_events(el);\n",
       "    } else {\n",
       "        // location in version 2\n",
       "        IPython.keyboard_manager.register_events(el);\n",
       "    }\n",
       "};\n",
       "\n",
       "mpl.figure.prototype._key_event_extra = function (event, _name) {\n",
       "    // Check for shift+enter\n",
       "    if (event.shiftKey && event.which === 13) {\n",
       "        this.canvas_div.blur();\n",
       "        // select the cell after this one\n",
       "        var index = IPython.notebook.find_cell_index(this.cell_info[0]);\n",
       "        IPython.notebook.select(index + 1);\n",
       "    }\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.handle_save = function (fig, _msg) {\n",
       "    fig.ondownload(fig, null);\n",
       "};\n",
       "\n",
       "mpl.find_output_cell = function (html_output) {\n",
       "    // Return the cell and output element which can be found *uniquely* in the notebook.\n",
       "    // Note - this is a bit hacky, but it is done because the \"notebook_saving.Notebook\"\n",
       "    // IPython event is triggered only after the cells have been serialised, which for\n",
       "    // our purposes (turning an active figure into a static one), is too late.\n",
       "    var cells = IPython.notebook.get_cells();\n",
       "    var ncells = cells.length;\n",
       "    for (var i = 0; i < ncells; i++) {\n",
       "        var cell = cells[i];\n",
       "        if (cell.cell_type === 'code') {\n",
       "            for (var j = 0; j < cell.output_area.outputs.length; j++) {\n",
       "                var data = cell.output_area.outputs[j];\n",
       "                if (data.data) {\n",
       "                    // IPython >= 3 moved mimebundle to data attribute of output\n",
       "                    data = data.data;\n",
       "                }\n",
       "                if (data['text/html'] === html_output) {\n",
       "                    return [cell, data, j];\n",
       "                }\n",
       "            }\n",
       "        }\n",
       "    }\n",
       "};\n",
       "\n",
       "// Register the function which deals with the matplotlib target/channel.\n",
       "// The kernel may be null if the page has been refreshed.\n",
       "if (IPython.notebook.kernel !== null) {\n",
       "    IPython.notebook.kernel.comm_manager.register_target(\n",
       "        'matplotlib',\n",
       "        mpl.mpl_figure_comm\n",
       "    );\n",
       "}\n"
      ],
      "text/plain": [
       "<IPython.core.display.Javascript object>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
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aHDd56KtEBAC4hD68h4Qh9CXtHUYS++XIx1Uli6FQEAT4FbTY8eAmJiMW025q4+Rurx2CRrpONKB1FNYuN5FEEnPoQOyb1+seUwqw4yhzDJqk5o1a6Jr167ZSirDMhZ0BrlVtHnz5m7zzY7tkmnUbdxygRAQAn4mkJ01z8+qB93w4hAG3ZRlVFgeliCfQFE/YAlwiym3g7L4fO7ciiOYOePn7dvA1q36m1CypJJ1VArX++YXY1vZiUmTJlm3jU6ZMgWsI8gSEeXKlcObb76JU6dOWesK2oQJZyhPPfUUqlWrhtdeew1hYWGgI0nhNtF33nkHc+bMsZafsEmePHnAjxbJ7novmUa1UJY2QkAIBAqB7K55gWJHMOghDmEwzJILHeVhCfIJFPWDngDrjDMzqd4SEaFsV3V2/lHv8QOlf1+teYwO0olj0fnatWtb6wu2adPGiqFfv35g7UGeAbSJyUF9EDqPbEcpX748jjH0nEneffdd8KygFsmu7ZJpVAtlaSMEhECgEMjumhcodgSDHuIQBsMsiUMY5LMk6uckAowYXriglJtgAkhG7ZiMhn/XW6KigKpVje0UGvkFIbu2S6ZRvZ9Q6V8ICAFvEsjumudNXXJ6X+IQBvkMy8MS5BPoa/V5QI51GLjXkXUX3Exd72t1A2081ircvRu4fj2rZkw44wunkJlSWYqC/xpRjLzmZdd2yTRqxCdGbBYCwUsgu2te8Frue83FIfQ9c6+OKA+LV3Hm7M7WrQPmzlWypVDowTRtCvTpAxQunLNt95J1vqg7qEVVZh5lohkHuxS1XB7UbYy85mXXdsk0GtS3vigvBAxHILtrnuGAZcNgcQizAS8QLpWHJRBmIQh0+P13YNo0x2EtZksZOxZggT0RpwRYz3Dz5oyZR/2Jy6gF64285mXXdsk06s8nVsYWAkLAXQLZXfPcHc/I7cUhDPLZl4clyCfQF+pzf+OAAUpldkfCSCGTZTz/vC+0CdoxLl0CVGqS+9Q2Zh0tW9anQwbEYEZe87xhu2QaDYjbWJQQAkJAAwFvrHkahpEmAMQhDPLbQB6WIJ9AX6i/bBkwY4br0BYzo0yfDrDYnkgaASaNsZWe4PnA48cDBw53+TLBjNHEyGueN2yXTKNGe2LEXiEQvAS8seYFr/W+1VwcQt/y9vpoOflhYd4TFv6+eVM57lawoLKrkf/tNbGljGT4h//N3P7FiimF53KKsFba0qUAM6K4ks8+A0qUyClWZ8sOojp8GDh/Plvd6Hpx/vxArVq6DhGQnefkNU8NuDdsl0yjapTleyEgBAKFgDfWvECxJdD1EIcw0GdIRb+c+rAw78mRI1mNZ2ZFvgR7JZBFj5MpIxkGyizlywOsBp4T5McfgXnz1FNg8oyhZB0FE7GytuC1a4E9+SxBUaNGYOuoh3Y5dc3TwsobtkumUS2kpY0QEAKBQMAba14g2BEMOohDGAyz5ELHnPiwcIvenj3OjaYz2KCBhgyLPDP3zz/A2rVKnQBGv9q3BypXVrZPbtumlF9wJtWrK2FJe2EFcmYWuXFD6a9+faUQXSALvev//te5hgy51qwJDBsWyFb4TDdnP0aoKeCrshM2PWTLaCzyGewHDG+s9/aZRqPfuwe5Qixqt7Z8LwSEgBDwCwFvrHl+UTwIBxWHMAgnLaN/chX58+dHbGzOeTlidIZ+lytx5KtlcdxGjgSOHVM8RzqAtjf2e+4BHnwQ2LfP9SDMvlmnjtKG20m//Rb49Vdl66WtL+7be+45oGHDwL6TJkwAVq3Keo6QbPgZPhwgVIMLp3nTJvVgKjHRF2FwOSwMKFJEudXUduV6Ey/HrFLFmz0GR19GfkHwhu2SaTQ47nPRUggIAb4L5rx33ECdV3EIA3VmNOqV0x4WvpBv2ODaePovrKleqZKLdnRwmBLSWaXwLl2USKGaNGsGWCzArFnAkiVZW9scKkbXGGULVGG0lElj/vxT0ZAOLb0XOr0vvBD4Dq2PuF68qP47gU0V263B/81zrtu3+0jJ1GE4hdTBaLUIc9qa585d4y3bJdOoO9SlrRAQAv4i4K01z1/6B9O44hAG02w50DWnPSz0UTZuVJ8Ul9ERHj4cMsR1Jwzv9OvnPEMNI4qnTwOxscCVK0rYyJnwjbxaNeC999QV93cLejzcRksPplQpoFEjr295Zb0++p+hoV7vWnd6J04A/KgJfyNo2jTdGeN5w5071a7y/vc8Q8izhEaSnLbmuTN33rI9LdPoXZUx+O5q7qggbYWAEBACPiPgrTXPZwoH8UDiEAbx5FH1nPaw0A/butVxnhf7qapQwUVCzIULgblz1ff99e7tuBh7fDzwyy9KjQG++TPKSMXUZOJEQxd3p1NEZPShbcKssOXKeSkJkBp/L3x/6pSy9VNNGKG2DzDzluHRUl8LfXryNZLktDXPnbnzlu2SadQd6tJWCAgBfxHw1prnL/2DaVxxCINpthzomhMfFgbmjh7NaqwpKRFFo1ei+I7fEXH1DEwRuYE77gA6d87oiM2fD/DjbLuorWtnDuHPPyspTrU4gfZqjhsHMDupAYVOYHS0Y2TMucOjmMFQyePWLSXXkJo0bqycHbQXJkJiQiRfihGL0+fENU/rPeMt21fvP48+0zehUpFI/PlKO63DSzshIASEgE8JeGvN86nSQTqYOIRBOnE2tXPiw0I/jMf/7F+uzYnxqLFwNPKdirbu0zPZnDUepKKnwTODtlAJD3ONHu16Zpmq9MMPlWJz9o4f6xGybp+7Qj2mTlXO5BlMiG/LFoBRMmdSoEBgH7G015v3Hm8DZ+KsIgkT1u7YoWyXdSSMlnLHrjeFJViY18hIkhPXPK3z5y3bJdOoVuLSTggIAX8S8Naa508bgmVscQiDZaac6JlTHxY6GSxKH3M6GQmXrqPMPwtQfPvSdEfQngedMebg//zz9OyfAwcCFy44jhKyPaOKffsq5SMYkrQVpqczuXKle9FB9tekCfDKK0F+N3mmPo9YMjqoJkzE6pX6kWoDZfN7nmOlU2i/9dXWZdmyAKNyzoROIbec2jt+/I2A1/F3C29uK2V/rHoiSWWyOeFBdLm31nvJNBpEky6qCgEDE/DWmmdghJpNF4dQM6rAbBg0Dwu3bzJ8QmeLb8sMl7RrB9St6zixC8MsLPGwdKn2sMqbbyoFCincc8qoId/QbVtHbW/OzNU/dKhj7+SHHwCeQdRaP8AWoWREknUJDSha6/YxCSsjhYEgTHzDHxzOn1emms5V8eJK2UlblRKWruRvCrwV6cjy3GCuXNq05zWMmHK7rP3WUrXoo1rvyQnxuH3uJMIjc6HRnSWRO7dJ7ZIc933QrHk6kPem7d0nrMXW41fwxX8a4P56JXXQVroUAkJACGSPgDfXvOxpkvOvFocwyOc4KB4Wvhlze+a//6ZH8Gx1/OgQPvmkMguM8vHtmW/rdNh4jk+rMPlLt25Az57pV/Btnk7l338rWTWLFQM6dlSK02c+AGa7itlEP/pI66hKiIbZSksa94Xq3Dng4EF1ZDxHqMeOWvr7dN4YVY6IULKbuhLeCrt3K7dZZuHvFFWrpkfd2Cf7puPI25h90zHMk8ezyJzatlJXep+c9ykOfv0eEq5dsTYrUqsW2gwditqPPqoO364FbWICINZQpD3cchpMUcagWPPcmhHtjb1pu2Qa1c5dWgoBIeAfAt5c8/xjQfCMKg5h8MyVQ00D4mHhG/ZvvwHLlysH//i2zOjfvfcqIaEpU5T6d2pJWhiGuesu5W1dS6pHeyJ0MB9+GOjRI3szytAOC81fvepYX745s94At5zSwaQHYXChY8WtkK6ml/43K1x40/HgeMwKyh2/tnN77J+/K/CcnyPHkNcwaQwdM2fCo6jM3klHk44uf1ewiS16yGlnoJm3nbvCsRnAtj+nSEeW42XVi9ltTTizeCJ2jXsRKfaJklKVaT92LFqrlVlJVZLbe3ls1n4ccqLNdHSDQQJizfMTKG/aLplG/TSJMqwQEAKaCXhzzdM8qEEbikMY5BPv94eFjhOLsvOt3F74ssrQw+uvK9E+tYyfmd+4PZkXbtvUUmxerW86pKNGKTrb6823f+4rfP99xekVSSNAByfzLWCPp1IlxX/2phw6pGz7dCTcAsqIJLds2gt/r2A2UFdCB4lZRPmbhCubeCtUrOi+RbylqPeZM4pjxuA262qSD//Oj+22u3nqEI7MHo3Tv0x3PpDJhIEHDyJKRRmeieSt7Uz0mCP36ahf4fc1T11F3Vp403bJNKrbNEnHQkAIeImAN9c8L6mUY7sRhzDIp9bvD8unnwIbNjgPD9Fx4p47vYUhoQ8+8F4Iit4AzxLSNr6d044OHXC5TXus2XYMiYlJaNy4MsqUKaK3ZUHRPyNv3OFLJ4dii6TxX0afvL2jlrcUj6S6EkcJYGxOnlqwmjuZd+1y/TsGbWMuIf7LaB8jpXQmeQ6RTp4j4XlFJuDhls3MwmuYNTRXSDy+/88TOLN1M24e3686/yaLBa1efx3tXWTWpb3csc1gvjPh+HSEnemuqoiPGvh9zfORnY6G8abtkmnUjxMpQwsBIaCJgDfXPE0DGriROIRBPvk+e1h4UIwJXugg8fAR3/Jbt1a2g6q9XfuCMc8FPvOM90dKzQ5yG2a8+vosTJv2G+LilLoCJpMJXbs2xeTJL6Bo0QDJluJ9Am71yIiXLRELE7Bw+6bamT63Bkht7Co6aOuP21Tp4NiLVoeQwTZurVQTbrPMnMyWgWT+PsEIYmZRi6SSmXnnLPz8RD+1odO/N5lQ5f5ueGzRj06voSPIBLpqwvOTnLNAFp+teQEIwZu2S6bRAJxgUUkICIEMBLy55gla1wTEIQzyO8QnDwv32DH6wKwageD8OZozvsVOmKDLbCYnJ+OBB97H0qVbkJzMM13pYrGYUbFicWze/Any5YvQZXzpNCsBRtl4Hk5NWrbM2EJLiQw6knTo9qsH51wOn3kLJqODPGuplsD2xPRXsW/GpxnPC7oYyWQJQfG7e6HluJmoVs2xA67Fbg5RoULgJ8v1yZqndmP56Xtv2y6ZRv00kTKsEBACmgh4e83TNKhBG4lDGOQTr/vDwmjgs88q9foCWfLlA6ZN00XD337bik6dhjvt22w2YcyYPnj99WwmtNFF+5zZ6YEDSuZPV8Lzg8z/Yy/8PYORslu3nF9JZzAqSkk+kx2xnUW0JdLhI8Rtm66EbU/88An2jHevpmX11yejTNcB1vIZZcooTiEfCdvYEiHMzkwGzrXeXu8l02jgzK1oIgSEQFYC3l7zhLFzAuIQBvndofvDsmIFMGlSYFPiHj1mEHn7bV30fPTRDzF//lokJSU77b9y5RI4cGCyLuNLp1kJaEkOw7KQjHhlFjqDTK7CgHdmYXIX5iWiI8U2jorTuzMfPBPI3EoUrU7Z2V8mYMfYF92Kxkc1bIdab89E7uLl0tRjpJM7u2mT1jOEPBPpSeZUd5hkt63ua152FdTxem/bLplGdZws6VoICIFsE/D2mpdthXJwB+IQBvnk6v6wTJwIrFqlPUuov3gygwjfvjt0UEIkbsilS9cwY8ZyLF78D+LiEtCsWVU8+2xnVK9e2tpLq1avY926vS57jIzMhevX57kxqjTNDgE6OHTYmOTWkTA6WK+e80LyPBrKY7G28462wvSskmKLqjE4vnOnY8eRiVfUtn5SL/szedR5yxbH/dnbYNn7A5Y99ahmh7Bg07vR8KMlgMkMkwNvjg4uzzqqZRmNjFQii2TBjKcshRGIovuaF4hGp+rkbdsl02gAT7aoJgSEALy95glS5wTEIQzyu0P3h2XyZOCvv3zuEDLhQXyKCZfzFETxkgWVRDYnTrieLVuxexbq7t5d08z+888B3H33MFy9ejPtfGBIiNkaDfzyy2fx/LOd0LPxM1iw/SySMh4fzNB/xYrFcOjQVE1jSiPvEKBDxjqBFy9m7I8ODc/SecOhYRQxJkYpBUEnko4mnau8eYF9+9TtYOCabW3CvpiN1ZmwbbVR83DoAAAgAElEQVQK1zGlUSNcPnwYybYCi2kXmAAoNyLPDlZ6+j2U7/U6TGYnaU2hZA21Rf54lpAJefg4qQl/V3HztxW1Lr3yve5rnle01KcTb9sumUb1mSfpVQgIAe8Q8Paa5x2tcmYv4hD6cV7HjBmDBQsWYO/evcidOzdatmyJDz74ANX4NqtRdH9Y1q0Dxo/XqI33m91KSsHK3i+j84OtlIwcP/8M7HUdrbNqMWgQ0KKFS4XoBFao8BRiY2863Q668t2OuP7nSnRZk+C0L54hHDmyF956q6f3AUiPqgSY2ZSODiNwjHLRqbJF+VQvdqMB+7f1y//eutW1Y0XHtH79jLpkLs9hPzzbM8jNrZ7Xz57Fwt69cfiPPzJoGF60NOIuxiAlKQl1Rs5FsXYPOYwKZjaLS0qhQspfqQPLXpDbyZMZi9Rnvs4WXXQDk+5NdV/zdLfA8wG8bbtkGvV8LuRKISAE9Cfg7TVPf42DdwRxCP04d506dcKjjz6KJk2aIDExEW+//TZ27tyJ6OhoRPLNVoPo/rCw4NuTT2rQxPMmfClhCQdnMv9UMhp/+xXKl0+tbE7HcNw45wOyL1tdQhdqTZjwK154wfn5SEYKOxU346fmFty9Oh4rz6Ug8ynCEBNQukxhbN3+OaKipFi953dB8F3pKnMnb8GaNdPPD2a2jg4Zt6zyPKOtMD3rF2be8Xlh3z4c//tvq1dZvm1bLHjqRZxa9RuiGt6Jxl+s0AzNUfZQbrdlrUVX4sip1TyoTg11X/N00tsb3ephu2Qa9cbMSB9CQAjoQUCPNU8PPXNCn+IQBtAsnj9/HkWLFsWqVavQpk0bTZrp9rAwAwbPDq5c6XqPmyYts9fodlIKWh8sjqiiBVCsWAH0KhKPe2L+hZkF413J9OlKQXkn0q3bKCxatAl0SJ1JLjNwu0c4biSm4KVtCfjmWDIS7Zp3LGbCzM+eRMlHumbPSLk6KAnwXB5rC9on4eUtx98jmOXT2/LTk/2xY/Zs1Hp7Boq1fwTmkFBNQziqL6i1JmOjRs7PYmoa3MuNdFvzvKynHt3pYbtkGtVjpqRPISAEvEFAjzXPG3rlxD7EIQygWT148CCqVKlijRLWrl1bk2a6PCw8ZDRqlPKWGyB1B+v8FoddV1PAun8839euqBmLW4UiD0N0zmTqVOchGgAPPDDSmkjGlbD7hIfC05qcvZ2CleeTkZgMNC1oQpW8ZqB/f+CeezTNlzQKYAL8gYH7KBneCw/XtO+UPyYk37qFuJRwJCSards9GVXLrvD3GEYRKUx0w4L1lGOrV2Nm27ZoPPFvRNVtrWkYRiAbN1YikfZCR5ZnGtUe8YYNFRyBIrqseYFinIoeetgumUaDZPJFTSFgQAJ6rHkGxKjJZHEINWHSvxFfLLt27YrLly/jb24RcyJxcXHgxyZ8WMqUKYPY2Fjk80ZIgm+iL76o5Mh3EYE7fSsFkw4lYsEpOkcpeKysBd1LW1A7v9ktWLbonKsto+yw5rI47LmWHpqzmICHS5vxXfMwx+Nx/x0L1bvIoT969A94551vsxSbt3VosZjQPMqENXc6GcPWcPRopVaBSHASYHYaHqY7cyY9dSg9u1KlgOLFHTqGCbGxOPbJJzg+cSISzp+HKTQUxXv2RIU33kBejT/mOILFR5s1FjNnT+X5Pxa6t1hS8EOPHghr3AtF7ugKsyVElTmjlSVLZm3GDKv797u+nEl06EwGUikKI78g6GG7ZBpVfYSkgRAQAn4ioMea5ydTAn5YcQgDZIpeeOEFLFmyBGvWrEHp0kq5A0cyfPhwjBgxIstXXnMIly4FZs50GTZYfzHZeqbuVhLSMm8yksatlK9Xs2BsnZC0M4EnbiajQKgJeUOzRvJWnkvCsRsp6FvB+UstHcaY20DZJXFZsnyyx6P35ULZiEx9M8LTqxdDgC5n9+zZyyhX7inExyc4jZLMe6IOHrp5yLFzzLdkFnr74IMAuYtEDbcJ8EeP6Gjn9SvoEFasmKHbhMuXsbF1a9xgmlG72hOmkBDw0/j33xF1xx1uq5KQoBSud1QfkZ0xWQ6zfp4+lYzLFxNgCkkNG6qMREeSZSQyC03ncdwsiUztGnIpYkWXQBIjvyDoYbtkGg2ku1t0EQJCwJ6AHmueEHZMQBzCALgzXnrpJfz0009YvXo1KjiqpG2no+4RQka7tm93SoVn6cr8EofYBGRJsGK7aG7zUPQsY7GezVt9Phn3rknAs5UsGF07BLkY2gNAZ7DjasURO3V/LhQLd7z1k328uiMRn+xPcqjTtCZh6F8+NSpJR5Adco/bq68qNQJU5KefNuDhh+nQpSCR+0CtafqVbakDB96P8SMfgWnYsKx76+gM8rDYe+85Dr+oDZyN7/ftO4ndu48jMjIcbdrUQu7c2hyDbAyZcy9lVPDwYdf2ZaodEf3cczg5dao102cWMZsRVrQo2h4/DjOL+rkhDFIeP+7GBWxqn/rUyaXccsoEN5mFmUw3TJiOg39vhSkkDIVbdUGxdj1gDlUi4nRAeV3mraZuauj15kZ+QdDDdsk06vVbVDoUAkLASwT0WPO8pFqO60YcQj9OKf+PmM7gwoULsXLlSuv5QXfF6w8LHRwXqQenHk7EM1sSUyuhKdoy8UqxcOBqgvJpXNCEje0VJyUuKQXhC+JAl+3uYmb8ckeo9b/r/h6P6KtK1s6S4cD6u8JQJjXSx+2jSckpsJhN+PpwIp7ONJ6NEf2/rx6rg+fCYpT8/wxn8Cxf27Zpb7G3b8dj/vy1WLZsK+LjE9GkSRU88UQHFC6cnvFj165j+OyzxVi0aCMSEpQ2dAbvu6+xEunk9tnffwdYAuDSJcURbNcOuPdeICrK3SnzuP3+/afw9NNfYvXq3Wl95MuXG0OG9MAbbzwEcyDt6/PYSh9fyB8/OL+uhIUHU7cEJ167hr+KFkUyzxq6kPoLF6LYgw+6ZQzLWKh061Z/tsZ07OjT2svO777Dwj59Mjq1KSnIVawsWk3+E5WbVrZGFQPxlvL6mucRVf9cpJftkmnUP/MpowoBIeCagF5rnnDPSkAcQj/eFc8//zzmzJmDRYsWZag9mD9/fmtdQi3i9Yfl+++Bn35yen6w98Z4fHci2bp9s2gu4N2aIehX3oKI1OQuv59JwvDoRKxsF4Ywswk3E1MQuTD9zONPLUOtWzwbLo/PYF64GXikjAWPlTUjKsyEfddSQOdz9QUX1eAB/DOzPxqXigR4ZrBu3QxRwb17T6Jjx3cQc+oiykSarc7p2TggNDQEc+a8gu7dW2pB7LANywUwIQeLonPrHYugc3dh4cKacpG4Pe7Ro2fRqNFgxMbecFgzcfDgrvj44/5u92v4CzZscHlW1srHzqO6un071jdo4BIbt41WHDoUld991y28Gzdm2IHq1rWuGmfe9XpywwZ83bKl023heUuVwsBDhxBiy2TjNU2805HX1zzvqOWTXvSyXTKN+mT6ZBAhIATcJKDXmuemGoZoLg6hH6fZWSKVGTNmoF+/fpo08/rDwkwTTCrjJKGMzSEsHAZsbB+GUrlNCDGnb/dkghl7F25JTDK6rVOKunO3aKdiZjxTyYIH1jov9K7FcI5ZL8qMzXfZbctjUp0nngBatcKNG7dRq+oA9Iu6jucrWlA0dUvqrthkjNmbhB9Op2DTpo/RoEElLcNlaMNSA3v2OEbE5B9M8e/twuj9+3+O2bNXpG1rzaw0xztwYDIqVSrhtj2GvuCffwAe3nMljALXqGFtwXODa6pXd93eYkGVUaNQccgQt9Bu26bUJfS2VC55DkXLF03r9tsuXXBwyRKXwzzw9ddooHP9UU/t9Pqa56kifrhOL9sl06gfJlOGFAJCQJWAXmue6sAGbCAOYZBPui4Py+rVwFdfOYwgDN6egE8PJOGDOiF4soIZhblfNJMkp6TAnOoRtfkrDn/bRfkq5zHhf01D0XxFxgihO9PAraSFQlOs2T+tZR8yy+DBmL7jMsp8Ow13FTXDYuedJaWkWP83o5iHGrTGN98Mdmdoaw4RJuJwdHzM1pGjIuBuDZKpcVxcAvLnfxT815nw3OPQoT0xfPhj2RnKeNey9sLp067t5lbuIkWsbbjN++8qVXCLpVlcSNGfdqN8m5pu7SimGlTHc+FPMcqPMzzfaLJYcGjauzj6vzHo8d13qNmjh1X/kSEhSFGp4VmycWM8TWc5AEWXNS8A7XSkkl62S6bRILkBRE0hYDACeq15BsOoyVxxCDVhCtxGuj0sBw8CkyYh5fjx1FdMYMTuBAyPTk+kwYhf91JmvFcrBNXzZXXMeP7vqS2JGeCVCge+b25B33+SceRGxmiifUP2zW2pmaVo0fx4sng8BpZNRoncTmoQFi6MSTGhGBByOs0xdTSDTf4G/on5wa3JPXsWUPEFrDXjmNfGW1FCZkMtXryvSz1DQizo1689pk590S17DN+YZ095jtCZh8+t2/XqZThMd2rmTOxiJNqRmC2wtOiMiHGLrd+68+MAVdi5U/1Io+OBU5B4/SpC8uS3fn1172Yc/XYczq6YZ70RzRYLBmzZgqK1a+M9DVlichcsiNe5HzoARbc1LwBtzaySXrZLptEgmHxRUQgYkIBea54BUaqaLA6hKqLAbqDnw3Jtx27kfV8pcfFrTBLuW5M1QkXHLcIC/H1nGOoVSHcKGYmbfCgJL2zL6BCyxeYOoTh2E+i+LiHD9lJ70vcUM2HNhRTcyJTIceesfqj9y/eqkxKTFIJi5gSnDmFCcgomHUnBS1vmq/Zl34B+8rlz6pc0baopyal6R2CikXjky/eoNeGNM2GE8M03H8LIkY9r6lMa2RG4cQPYu1dJTGTLVMuveXawWjVYq81nkkPvv4+DzD7LrCvWTJ9mICkRlgbtkPuDRTBFpictcqewO0tAMOkpd27bhENwK/L5885nLTkpEWseroTkW9eRkpSIxBtXMzQ2h4SgXp8+4FbQkaGhSHZVawJARJEieE3Lje6HG0nPNc8P5rg1pF62S6ZRt6ZBGgsBIeAjAnqteT5SP6iGEYcwqKYrq7J6PixduryH70J3ItKSgqKL43HRyS5POoWNotIzi1JLvmDwjOTCU0novTEhzbGzAHikrBnfNgvDvBNJeGlbgjXRi00KhMJax/Cpihbsik1B25Xx1hIXNon+6iHUWPmL6qzRj+RYrmTDrVxovvgb1b7sGzA6yPdk+gCupFkz76br79PnU3z33SqnZwipy969E1CtmvMalm4ZarTGnNArV4Br1xSnkLUa6BC6kJtHjmDrmOmIO3IQpjwFENLhUVjqt0mrwWm7lPXtWa7SHWEtQvqpVIVqMKjHgB0LyTu69/Z/+SqOffexyyFsTt4XVavi0oEDLttW7twZvX791R2VfdZWzzXPZ0Z4OJCetkumUQ8nRS4TAkJANwJ6rnm6KR2kHYtDGKQTZ1Nbr4dlz54TaN/wBSxuFYrDN1LQc4Pz6JRNlx13h6FO/oxbR5lk5vezyRmii8woeqtHuPUyRur+OJuMk7dSUDSXCZ2KmxGeWquQ1359JAnPblXGDg214MKK15Hv809VZy0pLBcs8XaeZqYrWNbiZKlKKPfZWNW+7BvwpZz1yF1JZKSyy9CbcuDAaTRuPAg3bsRlyTJKp2HAgE6YNOl5bw4pfWkgsH69+o8DzuoAaug+SxMGMY8cUaqf2MumAS0Qu3uDwy4jy1VH7pIVYEpOwHPr/8DOOd9i4eOuI8m9li5F5U6dPFFR92v0WvN0V9wLA+hpu2Qa9cIESRdCQAh4lYCea55XFc0BnYlDGOSTqNfDMnbsPHz87je4EA9r3UClZLtrmdciFA+VdhyXa7o8Dv9cVsJqPPmX+FAul+f7bCPdSkpB8Z/jcCPFjN6978SMr18CnnsOuHzZsTL0jkqUsGaFTF6xAmYXobzkgQNhbt1azawM37M71ovji7kzYZZRlp/wtuzYcQR9+36G7dvTC6mHh4dh0KAHMHJkL1g0nA3ztk5G709L1QpWRFFLTOoOxx07gOvXM16x7/PBODHvc6Qkp++xzlutIaoP/hIFardIa8zdr2VKJeKPJ+/Hod9+c+jNlm7RAo/89BPysP5iAIpea14AmppFJT1tl0yjwXAHiI5CwFgE9FzzjEVS3VpxCNUZBXQLvR6WRo1extat6Y6HFghLWoXi3pJZHUJGAT8/kIRXdyRancGqeU2IvicMiclAWGo00FX/LVbE41bpcli5chQKFMgDbNoEfPRR1kvoDPLz9tvKoavXXkNKYiJMmZzCZJMJphIlYGIfISFaTMvQhqUBdu8GuK0vs5QpA/Cjp2zZchDR0ScQEZELHTvWR758EXoOJ327IMAtnPbn/Rw1ZU17+la8DW33DB0zT5MOOYpK3ji+H+seqwGkKD/d5KlSD00nrYM5NAwmi4N7PCkeMXNH4sC3XyKOW2UzCc8cNnzqKdwzfnzA1SPUa80LhhtdT9sl02gw3AGioxAwFgE91zxjkVS3VhxCdUYB3UKPh+XkyQsoW/ZJ1XNy9mByW4D/NQ1B99JZXz7pEM46moSntygO4ecNQvB8JQtG70nES1VCkD/USbbQ1AHm1LsXXV9+FJGRyjZTq2zZAsyaBZw5k/630qUB1k6rXVv5W3Q08PHH1nNhKanRMxNTOZYvD7zxhlLM3kNhN0zyYStMz22ixYoB/FfEOAR4zo8RO2eBaDp+9esr9wrLStgiy/x7yZJKMNtdx9BZVPLkz1Ox54NnrAcOG36yFFEN2sHsyBm0m56U+NvY9monXNz2d5bCmiazGdW6dkXPH3/Mci7SnzOsx5rnT3vcGVtP2yXTqDszIW2FgBDwBQE91zxf6B9MY4hDGEyz5UBXPR6WSZOW4vnnJ7rlEFK1bR3DUN8u06hNXWYcfWtnIj7al4T2xUz4qWUo4pJNqLAkDq9WC8HQmi6idDyANXGi4wwtfAtnlhdWiqdzR0cv89s1i47zDZrtGA3k23mtWu6/havdJ6zrxtAhx2epAnff8tX6l+8DlgDP8zFSmLm0H8uPsJ59TAzAciWOhFuLWebQnduFZ1idVYS4/O8anF46C7XemKqJF+sRJt6IxequpZAcd8vhNf3Xr0fp5s019eeLRnqseY70njBhAj788EPExMSgVq1aGD9+PO644w6HJrLNK6+8gi1btuDAgQMYOHCgtX1m+fHHH/HOO+/g0KFDqFSpEkaNGoVu3bppxqan7ZJpVPM0SEMhIAR8REDPNc9HJgTNMOIQBs1UOVZUj4fl008X4dVXpyM5WSWVpp1K79cy4+2aWdPzswkjhE2Wx+GRMha8XNWC+GQT7lkdj42XUpA3BDj/QC7kcrZ1tE8foEuXwJ0lhgpPnFDe+G217Bj+YWrJ4sXde9MPXCtFMxUCrOLA7LM828cyEfwdg79RXL2qBKpdCStbcIezVmEiVNYrdCYMhjsrq+joGjoC0aOfxOlfZ2b52rp19Omncd+ECVrV072dHmteZqXnzp2L3r17g05hq1atMHnyZEybNg3R0dEoW7ZsFhuPHj2KTz/9FI0aNbL+27Zt2ywO4fr1660O5ciRI61O4MKFCzFs2DCsWbMGzZiWWIPobbtkGtUwCdJECAgBnxHQe83zmSFBMJA4hEEwSa5U1ONhWb58Ozp2HKaZTKQF2NIhDJXymBBiTt/+ycigxWTCH2eTkD8ESEgxYfHpJGvmUCarscld5SKxtHEiwkIsSpiFb9T8t3NnoF+/wHWqqCMPE/IN3ZHQIaxYUTNHaZjzCLiK5tmszZ9fCVq7I9yCypqYmbeqhoYClSopZRW1SnJCPE4tnoa9H7+Q9RKTCTW6d0fP+fPBaCK3kfpb9FjzMttEB61hw4aYyN0JqVKjRg08+OCDGDNmjEsE7dq1Q/369bM4hI888gio+9KlS9Ou79SpE6KiovDdd99pwqq37ZJpVNM0SCMhIAR8REDvNc9HZgTFMOIQBsU0OVdSj4clOTkZlSs/g6NHz2reNsozhHcXM+ON6hY0L6QkltkVm4wR0YmYf1I9R+mUoffj6aK3lRALD+PddZeyBTSQhecXWUXcldSpo1rPLpBNFN2yR2DbNmUnsSthQLlxY/fHYYIaBqb5yHDLaVSUkt2WEcJ//1XqGGqR5MR4nFwwEfs+ezlrc5MJRevWRezRo4iLjUVk0aJoOGAAWgwahNzZOIOrRS9nbfRY8+zHio+PR0REBObNm5dhO+d///tfbN++HatWrXKpvjOHkJHFQYMGWT82YTSRW0uPHTumCYnetkumUU3TII2EgBDwEQG91zwfmREUw4hDGBTT5FxJvR6WTZv2o3XrIUhISE9jrxVVhAUoFAacUHkRtvVnNptQr14FbN2a9cyN1jH90m77duDmTddDM70k00yKGJKAoxIRmUGEhwMNG3oXD4/VMnitVba+0hkXNyzT1NxksaBAuXJ4ct065OGPNz4WvdY8mxmnT59GqVKlsHbtWrRs2TLNutGjR2PWrFnYp1KI1JlDGBYWhpkzZ+Kxxx5L63POnDl44oknEOekjg3/bv8dbS9TpgxiY2ORL18+r5OXTKNeRyodCgEhkA0Ceq/32VAtx10qDmGQT6meD8sTT4zHzJkrfEIoT55wXLv2g0/G8togWorQ5c0LMEooYkgCzCx69Khr0/UqVcJSncyl5Kg8SrpGKbh54gDW/qe681SpDtTn2cLq3buj4+S5uH1bydfECKUvSmHquebRVJtDuG7dOrRokV7DkQlgvvnmG+xV2Y/ryiGkQ/mf//wnjei3336L/v374zYhOpDhw4djxIgRWb7RyyGUTKOGXKbEaCEQsAT0Xu8D1nA/KCYOoR+ge3NIdx+W+PgETJ++HF99tQQHDsQgMjIXHn20jbW4eeXKJdNU27BhL1q3fgNJSerbPb1hT/HiUYiJmeWNrnzXxz//AMxi6kr4lsxUkyKGJMBkM9w26uw2sSW+5bZRPYRnDBktZKZTOoiZhZlQ943phQMLvnPLISzU7B7UfGMqwoumF93k8UJWfmE+JXeyprprt7trnrv9B9KWUV9HCO0zjS57+Q5UL+79KKS78yHthYAQMC4Bvdd745LNark4hEF+N7jzsMTFJeDee0fgr792ADCB/+dPCQmxICwsBL//PgKtWtW0/u3uu4dhxYodPnEIuWV00KCu+OijJ4NrNhj6YQjIlVStqhzsEjEsAZ4hZKZR7gq0OUp89OgE8rcCR7Urma+I5Sx4DpCOFn9XyJMnewi5u5lnDtknI3nMbMpb84vKFXHlyBHNnUc1bIdG4/8ATGaHSWb0injaFHRnzdNsVKaGTCrDjKHMMmqTmjVromvXrtlKKnPt2jX8+uuvaX127twZBQoUCJikMlRMMo16etfIdUJACHibgC/We2/rHKz9iUMYrDOXqrc7D8uIEd/hvfe+d1hOgk5ZoUL5cPLkdFy7dguFCz/uMzLh4aHYt28SypYt4rMxvTIQ3/B5jtBZjn/WI6xXT3mjFzE0ATqAjNCxDAX/m8e/mJPFUSSNET0eU2N0kd/bMokyGyl/X2AmUWfCH3lObdyIY6tXWy8u37YtSjZp4rKw/KQGDXCW97FGaTp1A/JVawyeJXQk1LlJE2UbqR7izprn6fi2shOTJk2ybhudMmUKpk6dit27d6NcuXJ48803cerUKcyePTttCCacoTz11FOoVq0aXnvtNfDcIB1JCregtmnTxlp7kI7lokWLMHTo0IAqO0E9JdOop3eNXCcEhIC3Cfhivfe2zsHanziEwTpzqXprfVgSEhJRsmQ/XLhw1aXF33//Gho3rmzNMuorqV27HHbu/MJXw2Uch6EYZgqlc1eihPKW7kj4Vs59f2zP0I7NyWO4hWeKbOEf29s7zw6ywJxeewH9Q0tG1ZkAbycmoslcTsI2LKOEPJLqyJG8cuwYfujRAzFbtqQ5aylJSSjRuLE1K+jhP//E7UuXUKBiRTTs3x9FUh2VNWPHYsXbb1vLSqhJ7lIV0fqHQ2rNrKUv9Mo3o3XNU1VSpQGjg+PGjbMWpq9du7a1viAdOkq/fv3A2oMrV65M68XkYFLoPLKdTebPn291Ag8fPpxWmL579+6aVfWF7bZMo51qFcek3o006yYNhYAQEALeJuCLNc/bOgdrf+IQBuvMpeqt9WE5cuQMKlYc4NLa0FALBg68H8OH/weFCvVCfHyiT+hUr14Ke/Yo9b5Y8iI29qb1bGNYmItQSHY14xv3n38C8+cre/MofKFj/v8nnsi4zZNF306eTK8fwNAHawzywBQdQ/Z15YpSj5B9sCo5HUIRIeAmgf37gQsXXF9EP463mL3cjo3FpLp1cfX0aaQwtOhAmAgmOSkJZosFyYmJaPHqq+g4bhxuXbqEr2rUsP5LB9KV5K/VHE2nrFexKgVly5pQskQSTqxdixvnzyN/mTKqkUqtqLSueVr7C6Z2vrBdMo0G0x0hugqBnE3AF2teziao3TpxCLWzCsiWWh+WkycvoEwZ12f0eJbw1VdZeLkvmGF01qwVmusQegrHYjbhga7N8PXXA/HBBz9iypRluHz5BkJCzOjWrQXeeuth1K+vQ3H3BQuA77/PqjYdPO7nGztWiRaeOKF8HAnb8e1ctoQ65sOIEx1lRlaZvYR7HvXMNuLpTRgg1/F3BSaudRYdtKnpqJLJhvHj8dvgweoXZ7K10+efo9lLL+F8dDTmdOliPUtoTt2Tmsx5471tFzkMK1gcbRfHuCTGbaumQ8uw8e0BuMofUlKlUNWquPerr1CxQ4dsEde65mVrkAC92Be2S6bRAJ18UUsIGJCAL9Y8A2J1aLI4hEF+J2h9WPiSVqPG89i//3RaMhlHpq9cORpt29bGiRPnrRHFxETXEYPQEDPo1N2OV9qZACiparTLD3Nfw9tDv8Xhw2cyJLGhU2g2m7Fs2XDceWdd7R2qtWRE8LnnnL888zqZJqsAACAASURBVCX4rruAxx9Xzgi6kgoVlK2mIhkJnDkDsNi2fcSJ22crVnS+LdfgDOl30SFUEyaD4W5ke5nSqBFitm5VuzTL93lLlsTLx48rUcOkJBxcuhRHV61C3JUr+Pd//0OSg3IIBZt0QL0xPyEkd2SW/rjOJN26jlX3F0fy7Yw1Ok18rkwm9P79d1Tg8+WhaF3zPOw+oC/zhe2SaTSgbwFRTggYioAv1jxDAXVhrDiEQX4nuPOwzJr1J/r1+8yhxXS+6tQpjy1bPk1LQMFMo3/84dohqlgyP3Z+8xT2H7+EsBAzVv8djedUt5Slq9C3nBkh7e/EzFl/OcxoymQ3hQsz2c0MhIZ6KUvFTz8p0UFXZ6YYJXnvPSUtoyth4pgGDYL8LvKy+qxx4CprJVNrMm0m0o9lErfRA62MDG7erF7JhDuVy5bNOGfjy5dHLB1wD+SZbdtQvH79DFdOa9ECp1x4p8Xv7oXaQ2fCZEl/Jq2RQZMJ0WOfxqnF0xxrYjKhaK1aeHbHDpeJblyZ4c6a5wGOgL7EV7ZLptGAvg1EOSFgGAK+WvMMA1Qcwpw71e48LHxhGzbsW7z//g/WLZmJicnWCBzP7VWrVgp//vk+SpUqlAbrxx/X4aGHxjqFR2dtRP/WGNqvVVobjjH09ekYve48QkxAYgqy/MvGpXIDr1QNwRN1C6D4D7FgSQxXsmDBm9YtpF6RKVOAv/5ynh3UNsjbbys5+tWkZcuMLbjVjucObTUDuPWUh76MsF2SEUHWZ3TlbEdE4FLZejh50oTr1xV0TFjJJCQsWeCt4uY8Ssei7HQ2XWXmVJteX37vaoeyTY+GDYHw8IxafdOxI4789ZfqGUBHtvTfsAGlmzVL++r6mTP4WEPUu+6o+SjWrkfadbfOHsfBSW/izO9zVJE5ckJVL0pt4M6ap7XPYGnnK9vf+HEHvv/nBAbeVRmD784Ujg4WWKKnEBACQU/AV2te0IPyggESIfQCRH924cnDsmvXMUyZ8huio08gf/4IPPRQS3Tv3hK5cmVM4sLtoq1bD8HmzQezRO9CLCYUKxiJf2f1R6H8uTMiOH8eeyZ+g2lHknDwegoKhAKPlrGgfVETjt9StpWWjzTBYrFgW8M70XDIEpcIebbxnXcewbBhj3oHNaODjBK6clrovL37rnIGzpXQe7F7mbZmBDlwIH07qq1uQESEct4wp2cdpf3MjOJCzqIoDqGywxbExCya2XEKWffv+HHg4sX0IXh8kVG1QM/1Q3961y7nv0PQBkYIM0v0/PmY9/DDbj8flly58OqZMwi3y1KzZ+FC/KAx82VkuerIXbIiEq5eQmz0Rs1nGBs/9xzus6vx547inqx57vQfyG19ZbtkGg3ku0B0EwLGIeCrNc84RJ1bKg5hkN8Fej8ssbE38OSTn2PhwvUZkl20qF0K3414AOWK589KkLnxedCJ5Rg2bQK2bcvahvsDS5bEvj7Po3qDwaqz0LNna8yd+7pqO00NmOiCCTicCXVjIbW+fVWdG2tYizn2KSwyx7d5Z0Jvh3UJc3KkUGW7aDxCsQWNkGL9WYCfrOJoS6SmeQXA4us7dzoO/hI7fXI6h4EqTFTL25M1C+2FO5PJpYiTUp08//d9167WM4Baykewb9YRrN+3Lx74+usMY+396SfM7dZNV0ShkZF47fx5hNIwN0XvNc9NdXza3Fe2S6ZRn06rDCYEhIATAr5a82QCAHEIg/wu8NXDwrIVK1bsQOLho2hetQjqVSnmnFzhwkoFbQoPRv3xB7BwYXrIhmUb2rYFevVCSmQkqlZ9FocOxahmV/TqttEvvgDWrMka0aDXQP1GjVJCSv/+m15uIrPFdBzr1gXo6FGio9Ujinbn54L81nOsPsNyrKruRE6hJI6hnFNnkJcRf+3aKfj55zgcPZqEwoWZcTYXChUyqyKjP06/3Jkw2Sm3XAaiT87jqoeclPjj7w7Mx+NK76T4eKwcMQL/fPUV4ljdnixz50ZSXFwWJ5EJXgpXr44n1qxB7tTznDZmt65cwbhMf1MF76BBeLEyiGrQDiazBVd2rcPN4xkjxw/98ANqeRDV9NWa54nNel/jK9vPxN5G8zF/WhOGRb93D3KFWPQ2TfoXAkJACGQh4Ks1T9CLQxj094DPHxa1hCEkWqtW1jAMt2cy9MFDXSVLpjtRAL755i/06fOpy7lgsgqec4yO/srjZBQZBuABsxkzlFqE1M22tZPO7MCBQPXqSnPqu2ePsofP9jZOJ5deC1M92sJNWlNE2kcUg/7uc2AAOfAMoZN6dgdQGefBMJfj6KCtx549L+DUqWQrZnbFM4BDhkRg+PBI8OyqI2FCTC2JNh3V8fP3VGjRnbcbA+9qknDrlrWMxP5ffsFqJkYymbKcLax6//3o/r//IRdLp6QKo4ynNm3C7cuX8de77yKGGW48EHNoLpR84GkUaXkfCjZuD3OIshX94j/Lsfv9Poi7EGPVqfPnn6Ppiy+6PYLP1zy3NdTvAl/ZLplG9ZtD6VkICAHtBHy15mnXKOe2lAhhkM+tpw/Ltm0J+Pjjm1i4MA5xcfThLHjppQg88UQ4LBbnL+sseh27fjNC4m4jT0RYVnp8Y2V00M0QTI8eY7BggVrBa+7I/BK1amVKsZidOeQZwS1bAL6Rc08eD7BlTndJB5BhJ7alw2PbEmvfjl7Lxo3qmnDPX5Uq6u2CucW5c8DBgw4tOIwKOIviqVtGHRuZnJyC9u3PW33xzPLuu3QK8zi8kNss6burCSNtxYurtfLt90wQeuqU6zHpu9WuDWu07+Bvv+HY6tXWH0fKtW2LSh07wlrWIVXO79mDibVrO98+ajLhma1b07KL/vvNN1jx1lsZ6gZyS6laoXo1SmFRRVHlxY9QslNvJCcm4PbZ49j4REMk3riKngsWoIYHW1M9XfPUdA2G731pu2QaDYY7QnQUAjmbgC/XvJxNUt06cQjVGQV0C08eFm7F69FD2VLGQBnFVn/6wQfDMG9efoQwRaidMMHMl1/+gs8+W4yjR89Zv2leqySGPN4cD7apqmQBYWZCpol00xlkX+PG/Yg335wNOgOuZM2asWjVqmbgzQmdRjqWjrwYe22dZQUJPIuypxGTyxw9mpFHRARii1XB7iNZ69fZBktKSsH69fEYMkS5PzMLt3zGxBRGVFTW7aM8f8fzg2pCf9zZWTy1a/X6Xm2rq+0ZrVxgr7WA/OVDh2Bm+BRAcmIiWPT9P4sXW/+lLH76aWyd5qT0A5/3kBDU7d0bXadPx+ZJk7CEdTkzi9mcFo3PrmNY6+2ZKHlvX6QkJ+HAV6/j7G8z8EpMDEI4oW6KJ2uem0MEbHNf2i6ZRgP2NhDFhIBhCPhyzTMMVCeGikMY5HeAuw/L5cvJKF36ApiJkT5MZqEv9/nnefDii6nn4sAte0nW8hOLFm3KUNTeVrJi3HuP4rW3HslWaki1EhfUk7qdODEjQ2mMgJo+bollektXUr684jh74DQHlK1alOENRi+NZTj44h8ZaY0M0vnhn7NKinV76HPPXcbu3am/VDhoNWNGXvTrlzUZiZY6fsTOfEGpvpQWK3zSRsvxU7M5GWu6lsDNixezRO4YzYssUgTPR0dbzwSOyZsX8baaHk4sCAkPR77SpXH58GGnkUT2W75dO3T+4gvE37iB2Xfeqdqvo+FC8xdCm0WnrXULbxzbg/ijW9BpSB+P5sHdNc8nE+ijQXxpu2Qa9dGkyjBCQAg4JeDLNc/o0yAOYZDfAe4+LJ99dhODBl13msCFL8wVK5px4EChtOjAjBnLrZlGXcmePRNQvbqDfPga+cbHJ6BkyX64dOmaQ90sFjPuuacBlix5V2OPfmjG7aR8s3eV1YRqackQ4gf1fTUk/UPmnbFhsh3f5Lmlt96KxerVDvaKpirHSPaHH+bB4MHpP1jY6+0qMQvblSoFlGNOmwATLUdzU87uwp8P1XO5DbTjhx9at2F+bst86w07TSa0Gz4cq0eOtEYjPZX6H/yMIq3vR3J8HMxhuaxRWk92T7u75nmqbyBe50vbJdNoIN4BopMQMBYBX655xiKb1VpxCIP8DnD3YenT5yrmzLntLOdHGo1r1wojTx5lW16jRoOwffthp9s56awNHHg/Pvmkv2aajDoya+mRI2dRsGBedO7cCH/8sR3du4+xBs/st46y/7x5c2Pjxo9QtWopzWP4pSGdQm6VPHPG9fBMWsOC9QEgideu4dKKFUi8cQN5atVCPpbG0FkYzWMA69Il5VgmE7XeuJGESpXsigc60WHBgvzWrKPOhGfxGKjlGDZnk20ZmGWANhCDs/SzmBDHlb+1f8yjOPbLXJczU6JRIzR5/nn83F/7s6jzVKd1X+P1ySj1wNMZkkI1bux+aU531zxf2eeLcXxpu2Qa9cWMyhhCQAi4IuDLNc/oMyEOYZDfAe4+LE89dRWzZt12+eJJJLdvF0GuXMo5wty5e+D27YQ0UjxeWCQXcCMRuJoaMGjfvh6WLx+pieayZVvw9NNf4uTJ9Jf/PHnCrYXn69evgLff/h/++eeAtS9mlLz//qYYN65f4DuDNuuZUIWJVVwJC4Ez3aUfxZqcZPhwHP34YySzgF+q5GvcGLVnzEBeZjDxsdx552X8/XeCwx8s6MgVLGjC6dOFERbmOkspo5A8xsiEScxQyuSxHhxX86n1dJAZYM7sFNJuRtL+17g8Ypl9xoVEVa6M1m+8gcVPPeVT3bUMVn/cYhRp1SVDU09+F3F3zdOiW7C08aXtkmk0WO4K0VMI5FwCvlzzci5FbZaJQ6iNU8C2cvdh+fHH23joIeeF2pgb5o47QvHXX1FpNkdF/QdXrtxAgVBgaI0QPFXRgvyhygv58rNJGLU3CfmaN8aiRUNVOf311w507DjMGgHkC0dmGTXqcbz1Vk+w7uGlS9dRpkxhFC1aQLXfgGqwfbtSId2V8BBb06Z+VXvPSy/h+FdfZT1MarEgJE8eNN+8GZGVK/tUx507E9GixSVr0lf7yhXcKsrbZd68fOjRI9ynOvlyMDqD588rCW1pLxPacocxndlv770Xh37/3WnmT1NICKp07owOH3yACX7+scERs8aT1yOqdnNxCLNxQ7m73mdjKOulkmk0uwTleiEgBLJDwNdrXnZ0DfZrxSEM8hl092FJSEhBjRoXcexYstMo4bJl+XHPPelb8p566gssmvMnVrcJQZU8JoTY1YFLTE6xbsH7zFQJk/+9gtOnL6FIkfzo378jnnuus3U7qL00aTIYW7cecrr9NFeuUJw5MwsFCjguLeDX6WLYiYfUbPsc8+ZV6hdEZsqayVSXjrOmpKsfFgZwv5yf5MbBg1jj4gAXnYsSjz2GOrNm+VzDXbsSMWjQNSxfnh6VrlcvBGPHRqJTJ/ezUvrcAJ0G3Pfzz/i+a1eXvT/2669Wp3B2hw44tmpVts78edsMU2gY2i4+i9C8yg88JlMKGjc2WSO47oi7a547fQd6W1/bLplGA/2OEP2EQM4m4Os1L2fTdG2dOIRBPvuePCyHDiWiffsrVqfQVm6CkUFGJJhh9IUXMibsiI4+jhV9BuPZ8hmdQRu65JQU3EwCiv8chxtJyl+51bNMmSJgmYjSpQtb/3bgwGlUrfqsS+J0LqdNewlPPtkxsGaGDh738zkquM4sJcxWYhMeYlPZ2mc90Fahgt9sPPjuuzg8apTLOnOm0FC0v3oVlnD/ROROnkzC8ePJKFTIhGrVlBIL9sKpoG/OSh/0r3kkk/dxThVu8V3Qqxd2zZ2bNaprMqHu44/jwVmzrGf0rsXEYGabNrh06JCCI/OBSj9Byl+nNQo2bIvIctVRrG4ttO7RwG1NPFnz3B4kQC/wte2SaTRAbwRRSwgYhICv1zyDYHVopjiEQT77nj4st2+nYP78OCxaFIebN1PACMyAAblRvryDN+r4eCT2ewIhiekRm8zY6BQO2JKIr4+keoRgan8z2rSpjT//fN/afN26PWjVaohL4rxm5MjH8cYbD/l+ZmwF6JkQhls+6V3w8FmhQgC3gTpyBm1acosezwVSGEncts15hhB64fXrA35ytKji7meewanp05GikjWy3enTyEXnNcCEWTnpczMhjU2Ilb55AKrrNXrJSUlY/8kn2PDpp7hOCADyliqFFoMHo/nLL2coTh939Sq2TZ+O7TNm4PrZs4gsVgznduzQrovZjIodO+Lk2rUelZpwNpApJBQpqWtJo2eewX0TJ2ZINKOmoKdrnlq/wfC9r22XTKPBcFeIjkIg5xLw9ZqXc0mqWyYOoTqjgG7hk4eF2yRfesklh/ikFHx5KAmv/Js1Lf3evRNQrVppHDt2DuXLqye7+N//BqNXr3a+5U5n8PBhZUuonfCUY3JCgrWQNyMvTiV/fqBWrfSvb9xQIop0Du2FTiYzabC9H4XJZA6//77rCGFYGNrHxvotQugMj1ppiYoVlZ28OVnoGF45etR6T+YvVw5mDaHRA0uXYs6992rDYjJZ+7xn/HgsffFFbdd42KpGjx7oOX++5qt9suZp1sa3DX1tu2Qa9e38ymhCQAhkJODrNc/I/MUh9OPsr169Gh9++CG2bNmCmJgYLFy4EA8++KBbGnnysJw5cxlff/0H1q7dY93a2aFDPfTt2x5RUU7O7THDxYABLvVKSE7BmL1JeNdBQfFZs15Gnz53Wa9v1+4trFkTjaQku9COXc/MNnrmzGxERvp4myKjgnQIHYgt+Y1Lh5DXtWiRsaYBI4oXLwKxscqWPZ45LFo0IPY13jx0CH/zDKGDxD40xXqG8PHHUWfGDLfuR70bMyK4ebPr8gzM18PjmYwYiqQTOLZ6NWa2basJSe5ChdBt9mxEz5+Pf2fPdvnDgaYOVRp1GDcOrV57TVNXnqx5mjoOgka+tl0yjQbBTSEqCoEcTMDXa14ORqlqmjiEqoj0a7B06VKsXbsWDRs2RI8ePXziEP7880b07DkOCQmJaYld6Oiwzt+vvw5Dq1ZOSiG8/TbAcgpOHAhSqv97HP6NzZo59NtvX8Fjjykvokwo07r1EMTFcfysTuGUKS/g6afv0Q+6Y49PKQLHGgXZkcwOYXb68sG1ewcNwrHx47OMZLJYYMmbFy22bEEEw20BJPxtgoFXNalRA4hKT5Sr1twQ3yclJOCTkiVxk/U4nAjn/v4pU6znES1hYZjTpQsOLFniEz79N2xA6WbNVMcy8guCP2yXTKOqt6Q0EAJCQCcC/ljzdDIl4LsVhzBApohOmd4Rwj17TqBu3YFgUfjMfh0jhRERuXDw4GQUK+bgTZpn4saMcUiLmUZ/O5uMLmuynjFkUfkTJ6ajRIn0IuysMfjCC5PSag2yU5aXGDu2b5rj6NNpYVYShp2yI67KSNhgB1hFdCYpYWKZI+PGIYlF8FIlf4sWqD1tGvIEYOkC+jL796tPFIOfRYqotwvGFnFnziBmzhzEnT6NsGLFrNlgw+2TGrkwauPnn2PZf//ruIXJhOaDBuGejz9O+/6X557DlsmTXf4Q5C2GtR59FA99951qd0Z+QfCH7ZJpVPWWlAZCQAjoRMAfa55OpgR8t+IQBsgU+cIhfP75iZg69TckJjrerkmn8L33euHtt3s6pvLXX8DUqUpyFdt+vKQk/HYmCQ+vT8C1TMcH6QwyMjh79iCH/e3efRxHjpxFwYJ50Lx5NZj9tcePkcEtW7J3J2Q+Q8joJ7ehMvEH+1eqqivZSFlcLoAk8cYNXF65Ekk3b1qdwDz2ZyEDSE+qwmSvrOqhJrVrA/nyqbUKru+5fe/QyJE49N57VgeN0byU1ERHFV57DVVGj86QVMaRdexj5fDh+Pv99633pMlsBn8YYD8Nn34a902YYD0va5NTmzZhmoaonTdIhhcsiCHcYq0iRn5B8IftkmlU7Y6U74WAENCLgD/WPL1sCfR+xSEMkBnS6hDGxcWBH5vwYSlTpgxiY2ORT+UNuEyZJ3DypOsXLjpm69d/6JwKI0mrVwOnT1uzZMY3aoLur83FkiWbQQeQZwNt/7ZrVwe//PKO788Dqs0pnTV+bIk4+BJ64ED2oiD2exTZN/c1Xr2aVRM6hkwqI/sZ1WbJ4fcMtjJYzcL1zoTJWxs0yHic06PBAuyio+PHY98gxz+uUNXKI0ei0tChmrS+evIk/v3mG8QeP47IokWtW0QLVamCY2vW4I9XX8XpzZutjmJUxYoIy5MHZ//9V1O/2WmUK18+vMHztuIQOiXgj5cjyTSqdkfK90JACOhFwB9rnl62BHq/4hAGyAxpdQiHDx+OESNGZNFai0NYrFhvnDvn+oWrfv2K2LYt67kyV5h4FnD58n8xffpynDhx3ro9tF+/9ujcuSEsGrIf+mwKWEri5Ekl0Qs9C+rGqtiuvAutyjVvnh41PXEC4MeZMBLapEn2k8vQBkaIaEeAbUel6XQoLvz+O678/bdVv4Lt2qFg+/ZulRhwhJA+A/1tZ8dZGeD0cxJXrXeN5nbJcXH4q0QJJF6+7PQaS2Qk2p09i5DISM392jdcPWoU/nLiUIbmyYMEu23FHg2gclGRWrXw/K5dql0b+QXBH7ZLplHVW1IaCAEhoBMBf6x5OpkS8N2KQxggU6TVIcxOhLBr1/fx66+bnW4ZDQmxYMCAe/DVV66Lx3sLWVJSCrZsSURsbAoqV7agQgUdq4pzr+Hu3RkL13nLEPvtovRSeB4xc7mJzGNVqgQUK+aZBowQnzoFnDun2ENnkAfmSpf2a21De2Ou79mDrfffj1uHDoEF7um9seZhZI0aaLh4MSJofzaEwdejRwF7H4U7ccuXz3lbRYnpwh9/YMvdd6sSq79wIYq5mamYncZs24YpDRu67J/lLa6dPm0tw6KH1O3d25rZVE2M/ILgD9sl06jaHSnfCwEhoBcBf6x5etkS6P2KQxggM6TVIcysrjsPy/Ll29Gx4zCnFtOv2LnzS9SqVTa9DQuXb9oEbNwI3LoFlCwJdOigOB/ZkNmzb2Ho0Bs4cSL9PONdd4Xiq6/yonr19DNM2Rgi/VI6ad7IIupMmapVlQL2FC0Jagia5Sc8cYoYzeQhOkcv5YwU8vCchxEir7AmggsXsLZmTSRcupSlXAHLWTARSqvduxHqhTAeb0kiDwsDcuf2lgWB18/ZBQuwvUcPVcVqz5qFUn36qLbL3GDmnXfi2MqVqteFhIcj0RsRdQcjPfD112jw5JOqOriz5ql2FmQN/GW7ZBoNshtF1BUCOYSAv9a8HILPLTPEIXQLl3cbX79+HQdZygE889QAn3zyCe68804ULFgQZcvaOWUuhnX3YXnrrdkYM2Z+2jk/dh0SYrZGDb/4YgBefLFL+miXLgEjRyrRKDoxdKy43ZFRqYcfVj4eyBdf3MTAgelZLW1d0J+JiAA++ugUypZNRosW1ZE/v2fb3zKoxW12e/Z4oKnGS5h0w7Y11uZAq11aogRQoYJaq6zfM8rp6pwVAdav736/Xrzi8OjROPDOO86jsSYTqn/6Kco5y3bpRV1ySlfXdu3Cujp1VM1ptmEDCniQBGZ03ry6bwl1pXxoRAReOXMGuVirU0XcXfPU+gum7/1lu2QaDaa7RHQVAjmHgL/WvJxDULsl4hBqZ+X1litXrrQ6gJmlb9++mDlzpqbxPHlYFi/ehE8/XYT16/daz3N16FAfr7zyINq2rZ0+Jp2/N94Ajh1z/mL/4otAmzaa9LQ1unw5GSVKXHBR8i8JwHYAExEeHoZnnrkHH3zQD7lyhbo1TobGdGhphx7C5DBMKJMqSRcv4uqPP1rP9uWtXNn5eS5PDroxMsNIp5rUrevXTKZra9fGdTquLiR/06ZozqiziGYC65s1w1Vmw03NLJrhQrMZkdWro9WuXR6d0RwVEYFEhlv9JF2mTEGjp5/WNLona56mjoOgkb9sl0yjQXBziIpCIAcS8NealwNRqpokDqEqosBuoNvDwqwdw4c7N54RQ5ZQYM0yNxKaTJp0C88/f81VfXsA3EbKbIo3wFIYnTo1xOLF73hUloLnX5KPH4f51CmY9JjKypWt2z+T4+NxcOhQHP/qK2v5Boo5Vy6U7tIFVZ57DiH2+xm5pZNOmxvcrB0yYrt3r7oV2TmfqN67aouVZcogjsl7XEhEtWq4Q4stqqMFfgPegyfXr8eVo0eRu2BBVLjrLmvRd3fl2o4d2NiqFZJv3cq4FddigTksDE1WrkSBpk3d7dbafmLdujinpZ6HR727vui+IUPQeOxYzT3rtuZp1sB/Df1lu2Qa9d+cy8hCwMgE/LXmGZG5OIRBPuu6PSxz5gCLFzuORtgzmzRJqa+nUd566zo++uimas4VgGcdT6f1unTpu+jUqZHGUYDEa9dw9OOPcWLiRJhNJrSZP1+1Rpvmzu0b1q2LlIgIbO/eHed+/jlr6kuzGQVq1UKTL76AmclV6AjQGfTAIcCVK0p6TTWxP9Oo1laH7zd37IiLrFnpKJIFgOcIi3TpggYLF+owemB1eXTlSvzyzDO4uH9/mmK5CxVC+9Gj0WjAALeVZbKeg8OGgWcKrVu3zWYryyojRyIv7ysPJfrHHzHvoYc8vDp7l3GPRNPhwxH+7ruaOtJtzdM0un8b+ct2yTTq33mX0YWAUQn4a80zIm9xCIN81nV7WJjtb+lSdYfwyy+VBCka5ZNPbuK1165b32Vdy2AASh0/1jXs1q055s17Q+0i6/cJV65gU5s2uE7nKdUpqT10KErefbe1mLdXpWVLnF+yBFu72J29dDBA7bfeQqn77lOigjzjxbOY7gptYQZTJ46WtTv237ixUk7DT6IlAUqjZctQ+J57/KShb4Y9vmYNZt15J1iWxdEN3+nzz9HspZc8Uob3ePy5cwgtXBhhbvwgw8GSL1xAwqxZSGJtwfBwhN5/PyydO+OHhx7CvkWLPNLH04v4FPBnnlYAIpYsQei996p2pduapzqyxkY5wQAAIABJREFU/xv4y3bJNOr/uRcNhIARCfhrzTMia3EIg3zWdXtY1qwBPv/cNR0mgJg8mVlpNFM8dSoJZctedOEQ8gwhoykfZ+izSZMq2LQp49+cDbpn4EAcnzAhg+PELXV1hw9HsbZtkZyYaI1SeWULacuW2NatG865iqaaTMhfowaaT52qqFylilImwhPhVszjx51f6WmyGk90cXIN6w/+27OnEsXKXCzQZELJ3r1Re+ZMj866eVFN3bua1qIFTm/aZK3H6EhCIyPx6pkz1sLvesmty5cRFxuLyGLFEJo7N+LnzsUtZiFl8iP+eMBPYiLMNWogYtky/DxsGHbMmqWXOln65TPYFkB9iwWWO+9Enj/+UB1btzVPdWT/N/Cn7ZJp1P/zLxoIAaMR8OeaZzTW4hAG+Yzr9rCwrMGzzyqF3hxVAOeLJNPg9+zpNsFXX72Gjz92lMCCL878jANwOK1fRgjvvbcxfv55qOpYPL+3okgRJKee48t8Qb7q1VGiY0cUa9cOuYsXV+3PZQNG+Zo3x9q6dXFd5fxVWFQU7vzlF6U71h/0pOQEr+VcHDkCnDmTVTU6mezXk+hj9khkuZpO99GPPsKx8eMRf/as9ftcpUqh/ODBKPfyy/ps3/WyDdnp7tLBg/iCjr+KdPvmm/+zdx3gUVRb+N/d9EoIBEgIvXdCkyqCoCBdQEB6EQHpKE96F6QKioCAFEEQAQERiErvxdB7CxBqCOll6/vObDak7M7MbnazO8k938eHj73l3P/OvW/OnHP+g2o9ewo1M/v3J6dP4/C0abgXGso9M1QuolHLlqhBzyA9Q5nPNH3UKVECq6KikEisvMbOvNlaCHcgD+FA8g5SUxcX+FKNTQGx2Z0nNLED/G7PtTOmUQd4AJgKDIE8hoA977w8BjWYQSjxHbfpYaGQy9mz9Z62zF6OSpWACRMsyoXTanWYPDkBCxcmcmyjMpkOOh35CqIA/Awga4mI7dv/h06dGgjuVvzFizhRsyZvOyqUXrJHD5S1IIcry8CBgTg3aBCiDh7kLXrvWaIEGm3apO+eHYPQoAAZvK9e6YvwUXgoGYN2rj9oDHQyDJPIgJXJ4FGypPVDdgWfCPs0CD92DOsEGHgpfLn5N9+g4ZdfWlXJuwcO4Nc2bUBhfrp04cXtAJQgsiOe2f6Uy3FXOJ77bRmabGpeD0B9wxiurvAVUePQpndeNtdj6+72XDtjGrX17rLxGQIMgcwI2PPOy2u7wQxCie+4zQ/L06cAeRVOnABnvVFh+pYtgebNs52nRiUo9uxJwfPnyVi4cBVevz4NTab8OPIO1q1bFkePzoWTk0D+X0ICEkNDcaxTp7Rd9QgO5sJEFR4eSHz0CM8PHYJOrUbp/v1Rum9fq+x+cmIiTnXpAiWRvhgTmQzlhgxByU8/1f9qZ9IXqyyaDcKLgL08hBqVCouCgpAYGZnBy0efWyhbkc8YpGBt4rA1GbQpk8E7KAhalQoJqV5fMY8Bhca66nSIT+e1pwxX4kOtTWmvNIhCAaf334fn/v2CQ9r8zhPUwH4N7Ll2xjRqv31nMzME8ioC9rzz8hrmzCCU+I7nlsMSEfEavXotwqFDV9J2hGokdu3aCKtWDYOPDxdUZlrIq3HhAnRKJY736IHkFy9Q+X//44hkyEtCeVyUN6hOSMC1b75B6X79uDqB1hKa48mff+LmkiVcCQqDkBfI1d8fDdavh7OPj96jGhLiEGGd1lo7G8c4Amvq10dEDucQ3tixA79RKHcmoU8pQvQ1FKx9B8A+Exsqd3JCpc6dcXXrVrNDSvuHhiK+fXtEJyfDRadDcQCZaY88DhyAM31sEpDccucJrdPY7/ZcO2MatWTHWB+GAEMgOwjY887Ljt5S7MsMQinuWjqdc9thuXHjMU6fvsV5A5s2rYLgYJHkKxQ+eYdeZ4GnBw5woYmF33svS4iigeBDZoM8Oxr75fHjuEihtCQ6HXwrVUL1mTP1+YqUp0UF6R0wtFPixyBn1CcilpgYvTFEe5i+tqQRDR6dOIH1TZtyHyOMEcu0+v571B02zKq6H5szB4enTuWIkzJLPwA+Bo+ckVnJIDwF4ByPQVigYkWL6hX2/vdfBMvlSCCmXYo0MEQC0JlQq+E2dy5cx48XhUVuu/NELTq1kT3XzphGzdkp1pYhwBCwBgL2vPOsob+UxmAGoZR2y4iu7LCkgnL3LvDypajd1KVys8itQjOadcorixfDs1Il+FerBt+SJblwOPj763MH7VgOQhQ4rFFWBMj7HB6uJ/JJT7ZCHl/yMru5mUTt4ZEj+jqEt26ltfEoUADNqA7hoEFWR/vM0qU4MHq0UQOUMmub8BmEMhnWyuWI5ylr4lGwIBLp44s5IpNhVHg4fIODoX3yBMqVK6Gimp0pKVDUrw+XoUPhVKeO6BHz8p1n77UbmEaXdq+JdtUDRe8Za8gQYAgwBCxBwN53niU6S7UPMwilunMO8MXYoaAzwyC0pd7kmYnYuxeP9u5FvVOn4ESlOZhIFwEyAKmo/OvXxtdABn716rzkSuRZodDR6AcPQEXpSzRtCoWNPgxEh4fjO/oIYYQllPIH2wMoltkopA8WWi208+Zh5ezZUMbHZyCj4RYukyFkwABc3rQJ6iRjDMHG4SFPfKmWLdGTappaSfLyC4K9186YRq30ELNhGAIMAVEI2PvOE6VkLmnEDEKJbyQ7LKkbSN5BMgrNFHpvpgoa1hIubPTYMVycNAnl5s1DyXHjrDU0G8ceCMTFAQIlRTiipRLE3+kYsmvAAFxat86ol5CMwl49eyL/sWPQkddTJoOiRQu49O0LRe3aeB0fjz8GDsSz//5LWwyVrKg3ciSazZ6NpaVKIYavDmYmCKjvkCtXkN+K+bp5+c6z99oZ06hjnHGmBUMgryBg7zsvr+BM62QGocR3W4qHRRkZiae//IKke/fg5OeHwl27wrtKleztBIW5XbigL7gtQvgMQYNzxRJDkTyEj//4AzcXL4Z76dJoYoGRKqg+hTDSOsmzQ3+Y2A6Be/cAIUZNyoOrS5yZjiHqlBTs7t8fVzZv5nJoyUtHpEf03x8sWoS6X3yhL0kRHw/Vxo1IWbgQuvv6up+y/PnhMmwY3rRujZd37sDZwwOl3n8fbr6+3O+Hpk7F0ZkzRZPKvDNmDD5YuNCqwEjxzrMWAPZeu4FptFRBTxwc29Ray2LjMAQYAgwBowjY+87LS9vCDEKJ77bUDsuj5ctxc9SotBdUCm2jMhCFunZF1fXroeDJxxLcKvLmUO1EnhwowTFS8wufR7ugkK/SohrvJ/v1Q9zt25C7uqKFiLpqYnTi2hAZx5Mn+vqDhlpxlJsYHAx4CLCwip6ENcyAwM2bQBTVxxSQ+vWt62oWmk/E769u3MC1rVuRFBUFv1KlUK1nT1D+okGSxo2Dkow1+vKRPsRULoeiaVOuBATV7EwvCS9fYkX16qC/jRHlZFZr6LVrKEg1S60oUrvzrLh02HvtjGnUmrvJxmIIMASEELD3nSekX276nRmEEt9NKR2W59u24VLXrsYRl8tRpEcPVNu4MXs7QkYTeXSIAESkt9DYhL+eCEarGs+Qz9O4x5E8LFQWI71wuWJ793JlLQziXb06Snz1FYp0757WXhUTg+e//YbkR4/gUrAg5yF1JRZSPiHDkkIXVaqsrYgxldhLWb5i9p4dY70l6CEUA4LmwgXE16YqgCZEJoP7ypVwMUJ8QzUWf+vcGS8uXTLdXaFAubZt0W3nTjHqmNVGSneeWQsT0djea2dMoyI2iTVhCDAErIaAve88qy1EAgMxg1ACm8SnolQOC71InKhcGQnkcTFCeMGtUSZD43v34EGkGNA7wQwONmL4NzuEkzw7lO9kKIhNAxAzJJUO4BFDOKlezayGn7GuVN8w/LffcHft2rfeO2pIxppWi1ITJqDs7Nl49MMPuDVuHLQpKVxdRArlo4VRrmHZOXO48D6jQp5PU4XvqQN5VmvWtAAkiR8AW6svwRxCMZAkDR4MJT2rpj6ayOWQV6sG77Awo8NxHz/OnMGpRYtwY/t2LgSV6hTS2aaw6bIffYTOW7YgNiIC90JDoVEqEVSnDoo1bpzlQ4oYfdO3kcqdZ+66xLR3hLUzplExO8XaMAQYAtZAwBHuPGusQwpjMINQCrvEo6NUDkvC7ds4Xr48P9pyOcrPn4/io8cgIgJ4+vTt+ypFrhUpAgQFibR5yJp7/BjcQOkN0NS6Z9bcdq1Gg2NduiA5NdeMcrUU7u5Qx8dnmKbkhAl4MGeOyalLT5mCMtOnZ/2drOJ0JB8mB6A8TDJ4mVgPASuwjFpPGeuNFN+kCTTHjvEP6OkJ30zPsLEOCa9e4fLGjXh95w5cfXxQuWtX5C9dGjt69sSdvXu5A0vedAoxpTqGXbZtQwB5tC2UnLrzli9fjvnz5+PZs2eoXLkylixZgsaNG5vU+siRIxgzZgyuXbuGwMBAfPXVV/j8888ztKcxfvzxRzx69AgFChRA586d8c0338BNZKh8Tq2db2sY06iFDy7rxhBgCJiNgCPceWYrLdEOzCCU6MYZ1JbKYYn97z+cqlWLF23KVyo1YSLU3aaaTNuilLly5UQYhcSgSMagmWIJ6yi96F5fsABPdu3iZvMpXx5yNzdE84TUGVOL+jR9/hzOqQQeaW3evAFu3BBeSalSgFDoqfAorEVmBLJRh9BRwUxo2xbqv/7K6M3OpKysUCH4UOi1mUIfSH5u1AgR585lKV9BH0uIoObzS5fgU7SomSPrm+fEnbd161b06tULZBQ2bNgQK1euxOrVq3H9+nUUK0aFOzLKgwcPUKVKFQwaNAiDBw/GiRMnMHToUPz666/4+OOPucabNm3CgAEDsHbtWjRo0AC3b99G37598cknn2Dx4sWisMiJtQspwphGhRBivzMEGALWQsAR7jxrrcXRx2EGoaPvkIB+UjksqjdvcKhQIeiM5cClW2OpNb/hVYUuvKuuUAHIn5+niVIJnD/Pj1xmIo1sPAcUIhd55gySX76Eb8WKXOjos9BQ0UyM6aeu+ssvCPz004zaxMYCV68Ka0jU/gEBwu1YC8sQoPBKCjemrwaengDFMUtUlMTy26uXae0VCriMGAH3RYvMXuGt3buxpT1VPDQhcjkqduqE2p9/jqC6deFqZu5rTtx59erVQ0hICOfNM0jFihXRoUMHzqOXWcaPH4/du3fjRroPN+QdvHTpEk6dOsU1/+KLL7jf//3337TuY8eOxdmzZ3FMyFub2iMn1i604YxpVAgh9jtDgCFgLQQc4c6z1locfRxmEDr6DgnoJ6XDcrlXLzzfsoVjFc0iMhmc8+dHwD9PEZvowrtqPz+gYkWeJs+eAQ8eCO8sxaBSwXEyILMp1+bPR6WxY5H49CmOf/KJxaNV/OEHFBs6NGN/8lCRgctHkkMGLpGE2KjgucULsrQjhcnSPtL+UJ4lsaiS95NYMs1OJrVUidzbT5eSgvhq1aClchOZnysqZeLpCe9LlyDnqa+YHBPDsZhGh4fDw9+fCxUlr9/v3brh+u+/Zy1ubwROJ3d31B4yBM3nzIGTq6sowG195ymVSnh4eGDbtm3o2LFjmk4jR47ExYsXQaGhmaVJkyaoWbMmvvvuu7Sfdu7cia5duyIxMRHOzs7YsmULF0IaGhqKunXr4v79+/joo4/Qp08f/O9//zO69pSUFNAfg9Dag4ODERMTAx87hYczplFRjylrxBBgCFgBAVvf91ZQMdcMwQxCiW+llA5LyrNnOF2vHujvDEYh1UqTyVBz1y6EB7SCUslfKd7NVYeQWjxtiEgmc+6gsX2uVk3v7REqPM7zjFC4qCouDofbtUOthQsRc/067qxaZZF3kKYJ+esvFGzVKuuMlFD58KFpTci4TSXjkfgjDRCRy7VrxsMZyTVMuajMKMz2NmsjIpDQrh20lJ9KubWEqUoFWWAgPP74A0516pic4/yKFTgwZgzUyckcmQxHjgSg7vDheHHlCh4ePChaPyJSKtOqFbrv3m2aVCndaLa+854+fYqgoCAu7JNCOw0yZ84crF+/Hrdu3cqytnLlynHhnxMmTEj77eTJk1y4KY1XhM4ngGXLloG8gkTCo1arMWTIEC4s1ZRMmzYN043kFdvTIGRMo6IfbdaQIcAQyCYCtr7vs6lerurODEKJb2dOHhZ6EYg+eRJPVq9G4r17cClQAEU+/RQB7dpBLtIzlfLiBe5Nn46IdeugTUriXkL9P/gAZaZMwR2nArhzxxXFihWF3BTbpk4Hz+RIVG9e0PTOEbkLlQsQEvKokeFIeVKmmE/TjZG51ISBIfTixIl4efQoyn7+OZ798w/is1GMvsKyZSj+xRdZNSf9DIYu/Zo+5LVgQaB0aT2jqUghVtSUJ0+g8PKCGzH12EEIzyenT+Puvn0cC2VgnToo36YNFJR7yecNJa9VYKAdNM59U9IeaE6cgHr/fg5zRb16cGrblmPANSVU8H5H5rBmQ2OZDAFVqiDyxg2ObdQc6bF3L8q2bi3YxdZ3nsEgJIOuPtWXTJXZs2dj48aNuElMyZmEDMJ+/frh66+/TvuFDMpGjRpxpDSFCxfG4cOH0a1bN8yaNQsUknr37l2Q15HyDidPnmx03Y7oISRFGdOo4GPKGjAEGAJWQMDW970VVMw1QzCDUOJbmVOHhYyfqwMH4um6dfpyCfSyR6FlGg18atVCrdBQuPAm9mUEWpOcDOXLl3Dy8YFzvnx48OA5qlcfifbtW2Pw4F48BqEWJY5uQGD3poCpcDbyVpw7x0uYAUPc6Z07+kLvAkJEGbRm8oYQMQZJ9LVrnDcwKjVf0b9ePURfuQKNocyF0KBGfs/XsCHqHT9uuieFUpK+FEZGRjgZg2YUpVdGRuLu5Ml6gzy1podPSAhKT5+OgDZtLNDYsi7xL15ga8eOeHLqlL5cgUwGrUqF2l264KNRo/gHdXEBiKCIeQktAz8bvcgjvrRMGUTzhGTTfpprDNKZKt+uHT7ZsUNQO1vfebYKGSWG0nfeeYdjLjXIL7/8gs8++wzx8fGm77x0iNh67YLgpzZgTKNikWLtGAIMgewg4Ch3XnbWIJW+zCCUyk6Z0DMnDktcnBZLeu7Cnt1JUMIVZXEJrbERgdCHMNLLXP7330dt8jJYKMOHr8SKFfvg7u6BX375Hvny+cApk5eCjFLXxGjU2PQlnJo2Avr35148X+3Zg6hDhzgvn1+TJgjo0AFyqkFoyktIBl3VqnpDikpT0B8eIS/Ks/37cXvFCm4+t4AAqGJjkZyOgVHh5oZ3KeRNJgN5DF+fPWsREq5FiqAphYfaQJSvX3Mhu8kPH2bM70qtlVh59WoUHTDABjNnHFKjUmFVrVpGvUitxoxBrXbtoBDyOJN3lwxDJjmKwLOwMKwKCRGcs3iTJgg/elSwXfoGhWvUwGATdQ/Tt8uJO488eLVq1coQzlmpUiW0b9/eJKnMnj17OBZSg1A4KOUcGkhlaLz3338f8+bNS2tDLKT9+/fnDEJF6ocmPtByYu1iNm3N8QeY+ed1fFi5MFb04mePFjMea8MQYAgwBIwh4Ch3Xl7YHWYQSnyXbX1Yrl5Vo3nzN3j5UgsZdNBBDjnU3N9fYDw+woY0BBtevw4vXrYX02Dnz98Db97o6/YVLVoE8+ZNQokSwVyeDQkZh5GPw9HynwVwi3kBhIQgvl07XGjdGsnh4aCSFSTEYkpGVcjevfAJDgao/EQ6UgauTh+VZzB41ei3CxcEn4KIvXtxlaeGYNnBg1Gqd2+u1hoZkCd790YChXgSIYxIoZY3Arth5KPNUCj48yhFDpmh2Y2RI/H4hx9Mkn3IXFzQ9Nkzszy9luhxfft2bOvc2WjXD0eORO2OHYUNQjJKoqOpBoF+HCrVQYQzIl6qLdGZ9dEj8ODQIWxo1kwQjmazZ3P5gCcXLEASEQMJCH1UKt2yJT6lUhgCYus7j6Y3lJ1YsWIFFza6atUq/PTTT1yNweLFi3OhoREREdiwQX//GcpOUMkJCgElI5AIZNKXnaB8wEWLFnFjGUJGyWgkQ5HmEyM5sXYxejCmUTEosTYMAYZAdhFwlDsvu+uQQn9mEEphl3h0tOVhSUrSoVSp13j1UgON1riBMhcfowaOc/lrFRYtQvGRIy1C1MWlI1QqPTGFQUJCqqFmzcpcel9Y2BUUeHoNoU1cubmUISE4vmAB1FFRWQ0chYILRW10/TpcCxUCEhL0TJXEYmisAPSTJ/r8PGNCXihit1SpEL5hA27PnQttSgr3skvGH73IkiFYun9/zjtokKSkJISNHYs4kbUIdQDikA9rMQlOjdth6/4y8PCwnlFIOh/094eGsDAlMhkqLFmC4iNGWLSHYjvxsVCWa9gQ3b/9ln8o2hPaz1Qik7TG5FGmDxJmljEQqzdrB8Q8fowlRurwZcam1uDBaLNiBZcb+vzSJYStXYv/Vq3izowp+XjLFlQRwdBryzsvvW5E9vLtt99yOYBUY5BqBRKbKAkRyDx8+JDLCzQIsY+OHj06rTA9laJIX5iePm4Z8hDJmCxYsCDatm3L/Vu+fPlEPV45tXYhZRjTqBBC7HeGAEPAGgg4yp1njbU4+hjMIHT0HRLQz5aHZd26JPTrF2dSA/IUhuAwZuFTzjNTbu5clBw3ziJEK1QYgtu3I0xyuzjJgMGlFPg+RO8JfFC0KG4TxbupF0y5HKUnT0aZadPE6UNENGQYZvYmli2rNyRTRRUTgxfffcd5JSlnsvB778HF2MscGSd16yLx/n1Qn9MU4ijgLaRXZRlk0ECBu1WHYkTYorR8RXGLMN0q6fFjHBV4kScva9HPPkOl77/P7nS8/X/58EPcO3DAaBsytIdt3ox8RYpAYYrYhK+GJHkIa9Zk4aQ23MHZ7u4cuyifFGvcGP3ShYwmR0djZc2aiH3yJEt+IX1UKVyzJgacPCnsGc6hwvQ2hC9bQ9vyvjdHMY5pdHoo4pLV2D+qMSoU9jGnO2vLEGAIMAREIeAod54oZSXeiBmEEt9AWx6Wbt1isG1bCq8dQ0bhXgSBfFl1jx6FX+PGFiH63Xe7MXr0Gi7c0pRcbOGC6vmduLIDp/76C7ECxec9K1RAo3SFonkVo3kplzBzuQoKRaWC70RCYxAqEm8IVTQ1KOXlvfNO2q/nWrTQ5zlm9mqZ6K+DDAFDRiNk+UKL8MzcSRUdjYPp12BkVCILKvHllyjHExprDWX2jRyJ88uXmyQeyR8cjL7Ll8PbGEmRlxcQrw8tNilk+BYtag1V2RhGEJjr54cUCtflEa8iReDu7w9lXBwCqlZFnSFDULBKFezs1QuP0ucWkle6Qwe0X7sWbhLzktnj4bDlfW/uehjTqLmIsfYMAYaAuQg40p1nru5Sa88MQqntWCZ9bXlYOneOwY4dKQIVGbTYJw+GV8XyaHjlSoawSXOgTU5WolmziTh79g40mqxhZePKO2F+Nb3XDUOH4nhICBKM1ANLP6dr0aJoKkAYk9aecg3JGDQllSvr89RIiGGRiqbzvhF7AVTnMFVe7d+P/4zVF+QZQydX4L2IJ3ClkFUTotVqceBAGPbsOQvCsHr1kujduxn8/LzSehCZTMTatXjw7bdQUT4Xj9FdPywMPjVqmLN1Zrd9efUqfiRSH1Mik6H10qWoQ3mGkZF6I9rTE6DwX2KFFfBOcW2rVzdbL9ZBHALr33sPD8moE5kfSx5AIoSq0a8f2q1ejVfXr+PxyZOc97tks2bwM7N+pi3vPHEI2K+VI62dMY3a7zlgMzME8goCjnTn5XbMmUEo8R225WGZNy8BEyYkmHzvo+DGUriOVQW6cd5BsYQysbGJePUqBv7+3siX763hkpCQjGnTfsXKlfsRF5fE7UyJwHz4X4cq+KxNVcgoFDDVOLr4ySd4uWNHxgL36faSXjb9W7ZELREkFVAqAQFvI5eXZjBiqKzExYv8Tw6FmlJJiHTyYMEC3P7yS+jkTpBphWu06WRyVFz6nfG6hCD79TVatZqGK1fC4eREpTB00Gh0cHV1wsaNY9C5c0NEHjiAsE6d9CUm+F7gFQoUbNUKIXv25MiJODhpEo7Nnp2xniKFzMrlCG7QAL3+/htOxvI9aZ9ov/jE3V0fNsrEJghc//13bOvSxaKxW33/PeoOG2ZRX0MnW9552VIsBzo70toZ02gObDibgiGQxxFwpDsvt28FMwglvsO2PCyvXmkRHBzJvX+bcirNbROKUauac8yeQkI5glOmbML27SehVmshl8vQtm1dzJjRA9WqlUzrnpSUgnv3nsPFxQllyhQxWp/r9aFDOC/Adlhz924EtG0rpJbe28dTVy1tAPI8EaEJsVlSrqEpIpoCBRBdsCySkmVcpGl6uyb20iXcmL8cNzftRWHweCRpUicnlJ40CWWmTs2yBo1Gg2rVRnB5l4RleqEUOyK4ObplGBJ7tYOWbwNTa0kGdOyIqhs3wonWmANCocEX163D8W++QRR5/QAuZLD2kCFoMnkynMmoMyYUAvzmDb+GZIiTQc7EJggQMcyOnj1xdcsW/fiGy4Evt5PayWScN3D43bsWRxLQMHx33uPHj7mxi6aGDJ89exabN28GlYygen9SF1ve9+Ziw5hGzUWMtWcIMATMRcCR7jxzdZdae2YQSm3HMulr68Oyc2cKunaN4WZNrQBhqEePfv3csGaNt6iXu2vXHqFhw69AXsD0BoxCIecMv0OHZqNevfKCu0GpexSt9ihch4Dfv4D34eUZvUypL6WBffqgys8/i9KNM+yIUMYcIYMlKAggMpq4VOIdNzc80QVi5c5CuHVbzxBKKYjvvgt07QpQitTd/fuxd8gQxD98CKreJcQjWmX9egT17p1Fs927z6B9+9kmNfZTqLHY+woKR/Osi17QmzblSGS8KlUyZ/VWa0uGYUx4OMdG6Vu8OJzSEfgYnYRy19JQ0mQcAAAgAElEQVTVejPahjy5eYBpNClJT6BLjzxFM5vi4LHaZqUbSKvR4Nzy5Ti9eHFakXrKGSTyGAoP5ZMxT5/CW8QHJFNj8N15VPydDL9evXrh+fPnKF++PCpXrozbt29jxIgRmDJlii3gyLExbX3fm7MQxjRqDlqsLUOAIWAJAo5051miv5T6MINQSrtlRNecOCyXLqmweHEi/vhDCaVSh5o1nTBihAe6dnUVZ3ABaNRoPE6fvmU0P5CMwrJlA3H9+g+84x07Bvz4oz6ljPOCQYfSd9cg5P58eL65zaHjXqoUSowZg+AhQ7jwQ1Fy/z6Qrsi8qD7UiAhOyPggD4lOhxOn5Vi6VG/ipfeoUnioZ8pTfCqbhAt//gIuGFanQzkARFVjyihUeHmh6fPnRr12/ft/h40bD0OtzvrynR/JWIzjCECSoMHpHRKCBiLqMIrGxNYNCdiHD03ncJJnSERZBFuracvxyTl99y4Qo/9OwwmdB0qxLFGCq8qSY0IGfWJkJOQKBQ5Pn47zP/4IrUrFO//YZ8/gxZMXK6Q8353n5+eH06dPc4bg0qVLufp+J06cQGhoKFcC4j6ddQlLTtz3YuFhTKNikWLtGAIMAUsRcKQ7z9I1SKUfMwilslMm9JTCYbl58wkqVhwqiPSJE/PQoEFFo+2uXQNmzDAeuiqX6VCm4CtMnKiDW+EA0UYqNxHl1v33n6BuJhukeqNomEGDMlatSN9HplWh7MOf0fDCYNyksDcKkQRQBQBl/2UwClO9nFXWrUNQnz5Gp+7WbT62bTsBIpXJLNNwBrXxCk4wzdhq6ONVuTIaEmuqlISMQiKbefpU7yIjIY9gYCDg7y+llZitK9laVNrSVBolEbOWL683EHNabuzcid86dTI9rUyG/KVL44vbt807o5lG5LvzvLy8cPXqVZQoUQLt2rVDw4YNQfUAHz16xBmJVB9UyuJo9z1jGpXy08R0Zwg4PgKOduc5PmKWa8gMQsuxc4ieUjgsu3adRocOcwTxWrt2BPr1e99ou1mzALJb+HhRJk3KQOwpOB/XgLxNZFhYKqkeqYMHgRUr+AdRaJLQY1dBOGsSQGYcmTKvAVBJavpjeIenchll58xBoY4dTQ44e/ZvmDJlcxaDMACJWI9/BT2DNDCVmQjs3RtV1qyxdPX272d4IHLSLWbHVYuJbq5SBfCxQ1k4rVqNpaVLIzYiwmTYaIn33kPbVauQn0q5WCh8d169evXw3nvv4aOPPkLLli05b2H16tW5vzt37own5oaGW6ijrbo52n3PmEZttdNsXIYAQ4AQcLQ7LzfvCjMIJb67UjgsBw9eQvPmkwWR3rZtPMeMmVnIG9Kz59t/pVBRve/rrRuEuFGaNwcGDhScJmMDYgsl1lBLhfIIixfHL78Ae/cKlxn8eF955IvXh7fSGmgFLwBQpp8r1XLs2RONZs+GjBI2iY2GCGyIyCaTPHsWhWLF+mchlHkHzzEN50Svpv6FC/AJCRHdnjW0LwLnzgECEZkICNCXzrSHUEkRKkuRFBUFIp/JInI5V3y+++7dKN2ypUUq8t15hw8fRseOHbmXiD59+mDt2rXcHBMmTMDNmzexY8cOi+Z0lE6Odt8zplFHeTKYHgyB3ImAo915uRNl/aqYQSjx3bXVYUlK0mH16iSsXJmE8HAN/Pzk6NPHDV984YFChcxLUlIqVShSpC+iolLJV4xg7u7ughcvNsDb2yPLr1SHfEB/HZpWfonWNZ6hWIFEaLQyhD3Mh90XgnDrqQ+XN9WkCVei0DzJrkFIIYrlymH7Dhm2bdNBq+WP1eu2JxCeyVlrGN53ckL98eNRo3VrvaGYGjZK//38zBnc+f57Lg6wQIsWKPbFF6BQzzVrQjFo0PccC6uhdmNtvMAsnBWFQblvv0XJL78U1ZY1cgwETp4U1oPIi+zEEcQpl/j6NfaPHIkrmzYZV1Ym41hkRz9+DHeKcTVThO48YuClNpRPaJCHDx/Cw8MDAWQtS1iE1p7TS2NMozmNOJuPIZC3EHC0Oy83o88MQonvri0OS1ycFs2aRePCBX2tPANBCnnh/P1lOHbMD+XKOZmF3Hff7caoUatN9pkypRumT+9h9HetRofzv95BnZKRnC6G6ECqX09204+hZXD0ZgB69QLatDFLLXFF5gWGTJLJ8ERdCBOXlTLdUqdBwaizaHewQZY2ZPSVHTcOpdq3N0mEc3rmTJzdvx/JVI0CQI0BA9B46VIcOXkbi2dshMexfWiOJ/CTq+GrS6YvPbxaV9+6FYWJ+pSJpBAQ9BBq1Cjor0XZSlm9yjm50DUNGyLi9GnjXsJURVosWIAGY8earRbfnUc5gkR2QsYfSXh4OHbu3ImKFSvigw8+MHsuR+tgi/s+O2tkTKPZQY/1ZQgwBIQQcLQ7T0hfKf/ODEIp756N4qsHD47FmjXJHJtnZiGjsEoVJ4SF+ZlFDEEvaTNnbsWMGVu4FzZiFtVqyaOmw6hR7bBgQT+j9Qa5+V++hO4O1S7Lqg/ZPVodMGJ9Lcxd5Gp+tQEimQgLy9ZToElKwuGOHRFa+Sc8LNoZOhnRxKQTnT507oNjrVD0RWiWuVwLFMC7O3ZARuAaEQq9i37+HEvJgEtn6FFNt24bN+J6165IIZZUQ4geXz04uRxFBw1CZaGEx2whwjrbCoHwh1pEPNYCCtMfZMr+swQFp4yylQqC43Jn3cmJ1xikQUo0a4Y+//4rOF7mBnwvCJQ32KlTJ45RNDo6GhUqVICzszMiIyOxaNEiDBkyxOz5HKmDo70cMaZRR3o6mC4MgdyHgKPdebkP4bcrYgahA+zu8uXLMX/+fDx79oyrmbVkyRJQPS0xYu3DEhOjRaFCkVzddT45edIP9es7Z2jy+LEGjx5p4O8vR/nyCqMGI+W+bd58BE+evEahQvnQo8e7KFasIP9kFy9Cl5hokiiFPIVPEIzijYLFQJa1zatXQGpx9Cw/Ej2+iJIUFydNQsSRUzha52c8KNYNVGpCptNCK3cCkck0uvAZyjzabFS/oh06oNLYsYJlMlb07YsXd+5wrKRFAFDwm6AfKNU4JAIZnVqNgm3bovpvv0FB+YlMJIdA4q6/cFVbFWr/woBTxvMHrQbex3YheGZP+L58CRmVRbGDkJEwy8UFRDLDJ3IXF4x5/BieZoZx8t15BQoUwJEjR7h7dPXq1Vi2bBnCwsKwfft2rgbhjRs37ICI9aa09n1vDc0Y06g1UGRjMAQYAsYQcMQ7L7fuFDMI7byzVCeLiiiTUUgU6StXruReZK5fv45iIuqpWfuwnDihRKNG0fwvcnJgwQIvjB6tD8u6elWNMWPi8Pffb+uPVa2qwNy5XmjdmqhSsiHkETt1incALueO8oUqGi9ZIWp2Kl9Ahh8VPqc5qdI3Fc8mRpubVCjCtKhiY3Fp+nS8Pn2aaxTtXQEPinaGytkHPnG3UerxFrio400OULx7d5SnuokmPISGjmuHDMGzy5dRObVkhZjKAjIXF+Rv3hxugYEco6hf48ZmeXZFYcca5RgCydOmIX7VekR8tQoJdVukzStTpsBv10oU+uFLyFVKeF26BEW1ajmmV+aJNrZogfvk/eMLXZbJ8N7MmWgycaJZevLdeRQqSuQxdHd27dqVMwynTp2Kx48fc2UnErNDIGWWlrZpbO373hpaMqZRa6DIxmAIMASMIeCId15u3SlmENp5Z4kmPSQkBD9SxfVUoXyXDh064JtvvhHUztqH5fRpFerXf8M7LzmdvvvOC8OHe3DGILUnEpr0IaaG8M6tW33QpUs2vVFkEArkxHH156gAm7WFXiCJeMaIqBMTcWvZMkT89RfnfbNUvMqWhYu3N5JevICztzcKN2+O4I4d4eTunjakVqPBog4dUCQqClRpT4wxaOhcPywMPjVqWKqeYD9lVBSerluHV3/9Ba1SiXz16yN48GB4lOLJqRQcVfoNKNRXlZTEEajIrFQWI/mbb5AyeTJHZ5tStAySy9eCTK2Ex3+H4RT39tx63boFRblydgPx7oED2PThh4LzB1StiiGXLwu2S9+A786rVq0aBg4cyDGNVqlSBfv370f9+vVx4cIFrhTFcxHefrOUyeHG1r7vraE+Yxq1BopsDIYAQ8AYAo545+XWnWIGoR13VqlUcuQH27Zt415gDDJy5EhcvHiRC33KLCkpKaA/BqHDEhwcjJiYGPhYofhYSooOhQtHIjqan5Tk5s38KF/eCS1avMGhQyqj+Yako5+fDM+eFYCrqzkmTKZV37oFvKaKfTxCPPtmhp6J3np6YSWq03RChs/Z4cMRc/06f3FE0ZNkbEjhdDXnzkWBevW40LurO3fiwpIlXKiouUjW/vdf5G/a1GpGSXpNo8+cwYUPP4Q6NvYtDuTp1OlQ+aefULR/fwsRkG63mEePcHzePFxatw6qxES4eHmhRv/+aDR+PLwDA7O1MM2VK4jn8/zJZJCXKgWvO3fs7gn+tkABJAmcWycPD3weFgZ/M4xXvheE33//HT169AAxjTZr1gx///03hzd9XDt69Cj27duXLfzt3dkRX44Y06i9nwo2P0Mg9yLgiHdebkWbGYR23NmnT58iKCgIJ06cQIMGb9kn58yZg/Xr1+MWGUKZZNq0aZg+fXqWf7eWQUgDz5iRgGnTEow65ehdv2VLF/z1Vz4uX7B4cQFDDcDvv/vg44+z4SWMiwOuXDG9U1Snr2ZNQCDk0uKtpnDSK1c4kgyDMRaxdy+uzplj8ZBiOlIIab2VK/Fg2za8OHAgrW6hmL6Z27gVK4bio0ah+IgRgqGpYsdXRUfjaMmSGY3B9J1lMtQ7cYLzGOYVibx1C2sbNEBybGwGr7HcyQnu/v4YcPIk/LLpOU1o1QpqMnSMsT4BcF+7Fi79+tkd8q0dO+LWnj0mi9RzCspkcPX2Rr/jx1GoalVROgu9IJAXkPKxqSA9lWQhOXv2LPfBjEhmpCxCa7fH2hjTqD1QZ3MyBPIGAo545+VW5JlBaMedNRiEJ0+e5MKaDDJ79mxs3LiRy4XJLLb2ENJ8Go0OffvG4pdfUuDkBFA0JNla9P5Zq5YTQkPzIX9+OY4eVeLdd/nzDakf5RKOG5e1vqBZ0BPxy927WUNHyRisXBlIF15p1rhiG5NR+OgRdFFRnOfl9Gef6b2DQqGsYsc30c7V3x/Jr1+b7RU0OpxMhkKdOoFKTgjlK4pRO3zpUtwcNcokBkRkE9CpE2ps3SpmuFzRZvU77+Dp+fNGjSDCvHiTJuhz8GC21qqLjkZCmzbQnDgB7oDSwSTDR6OB67RpcJ0yxe7eQVrgvb//xi8iis8TLoG1a2Ngag6uEDhiXxCePHnC4UAf3XKLiF17Tq6XMY3mJNpsLoZA3kLAEe+83LoDzCC0485aEjKaWV1bHRb6P/mjR1VYsyYJd+9qEBAgR8+ebmjf3hXOzno/GeUPVq0axYsg5RKuXu2N/v3f5sNZDDkRvLx8qQ/fpBdgqsBdoMDbwoQWD2ykIxl6FAapUgHOzoCPD+KuXcP5Jk1AZSLijBmn1pw/dSyOMMfK41bbvBlFunfP9qgXWrdG5P79vEaxwtsb7xOOeUBeXL6MFdWrC670i9u34V+2rGA7vgbkrVb/+y9UW7dCFxMDRenScB44EAoKnXYQoTtk7+ef48KqVaI0GnLlCgKqVBFsy3fnabVazJo1CwsXLkR8api3t7c3xo4di4kTJ5oubSM4q2M0sNV9n93VMabR7CLI+jMEGALGEHDUOy837hYzCO28q0QqU6tWLY5l1CCVKlVC+/bt7UIqYw4c9MJXuXIUbt7UmHSUkQOPcgjJo+hoQiUI793Tp75RFF8aSz/lPT14oGcYNYirKyJOncLV4cMdbRnm6SOXcyGc9Y4fN6+fkdbnW7TA63/+4R1H7u6OFhJndhQL1KWNG/FH796Czbtu346KnToJtssNDeiO2DVgAC79/LPgcrps24ZKnTsLtuN7Qfj666+xZs0aLqyeWJtpfgrJp1D7QYMGgaIvpCyO+nLEmEal/FQx3RkCjouAo955jouY5Zoxg9By7KzS01B2YsWKFVzY6KpVq/DTTz/h2rVrKF68uOAc9j4su3enoH37GJN6TprkgZkz7VMPzZRSZOdt3gyQLWOw+Sjy7t13gd5tXsM9PGvuJo319MABXJkxQ3BP0hrwFYgXMYotvIM0rZOvL5pTeY1syt2pU3GPXrBN5LJRnHH+xo1R59ChbM4kje7Xf/8d27p0EVS2x969KNu6tWC73NLg5h9/gPIJheTTfftQRgQzKd+dFxgYCLpL27Vrl2G6Xbt2YejQoYiIiBBSw6F/t/d9bwocxjTq0I8NU44hIFkEHPXOkyygPIozg9ABdpW8g99++y1HhEBU6YsXL0aTJk1EaeYIh+XXX5MxdGgcx0xKOYPkcSMDa/x4D0yf7gm53NpBj6KgMdqIdKNqHkQcmjn9Ty7XoVShBEz/+AqcnbKyrCa/eoUj5NmhQfgOlUIBInFJfv4cuuRkm+cZplfFNSgIKU+f8s7pWqQImlKbbErykyc4WqoUdBRWa0Jq7NyJQh06ZHMmaXRPevMGC4sUgSYdC3BmzZ09PTHuxQu4eHpKY1FW0FIZH48FhQtDRXm4JsTV1xfjnj+Hk5sw+RTfnefm5obLly+jXCbWUiLoqlGjBpIoLEDC4gj3vTH4GNOohB8qpjpDwIERcNQ7z4Ehs1g1ZhBaDJ1jdHSUw5KcrMOuXSl4+FADf385OnZ05f52NDl3Dpg/n08rHT5//x6aVXlptNHlmTPxLDSU1ygs0KoVqm7YwLGCHi9XDuo3/HUdrYGRk58fSo4bB/r7xrBhpoleFAoUGzECFRYtssa0eLZlCy737MmRd6TVYkxlICo+ejTKL1zoEAQnVlmsiEEOjBmD00uWGMdfJkPjiRPRbOZMESPlriZHZszA4alTTS6q+dy5XFkOMcJ351EIPv1ZunRphqGGDx/OMY2eOXNGzBQO28ZR7vvMADGmUYd9ZJhiDAFJI+Cod56kQTWhPDMIJb6r7LCYt4Hz5gFhYabtORl0KF0oHnO6Gy9zoU5KQtj06Yg6doxj6tRRuGSqAeRZqRLKL1qEAi1acDX/nvz8M65Zqw5fpvBTYvAkwpYKixfDo0wZ+NauDbmrK9Tx8ThesSKU5J0ketj0IpdD4e6OBleuwKNkSfOA42kdGxaG8CVL8GrvXmhVKuSrW5czOgu2aZOnjEGCSKNSYfeAAbi8cSOo1ATlsJGxTLUkQwYNwkc//gi5rcqjWG1HrT8QkeCEfvklTi9ezJ0N+kP/Rn8ajh+P5nPmiH5W+O48qt1KBeiLFSvGheAT9sTi/PjxY/z1119o3Lix9ReXgyM66n3PmEZz8CFgUzEE8hACjnrn5cYtYAahxHeVHRbzNnDsWODxY/4+vh5K/PTZeZONdBUrIvLMGTzdsIELz1THxSHpwYM0T6BbcDCKjxmDh0uWICU83DwFTbSmUFDly5dceCYZfkV69kTpyZPhbiTPNOHuXfzXqhUS794FGY5U6436Ofv7o+bu3fBLV/PSKsqxQbIg8CwsDJc2bEDC8+fwDgpC9T59RNfZy81wxjx6hMu//IK4Z8/gExSEaj17wqdoUbOWLHTnUTmfH374gSvbQ4YKkXR99tlnHLHM2rVrzZrL0RoLrd2e+jKmUXuiz+ZmCOROBBz5zsttiDODUOI7mucPC+VrUZ4eGT4eHpzxwyfECXPtGl+KnQ7B/olY2OuS8WGINrVWLb2RpdXi0ief4MX27TbPEwz67DNU/O47qKOj4eznxxmFfEKey1d//cWxgJKnkJhFC3XuDIWIHC2JHwmmfi5HwJI779KlSwgJCYHGFAGSRDCzZO05tTQD0+jwZmUwtmX5nJqWzcMQYAjkYgQc+c7LbbAzg1DiO5pnDwuRQ1BpiPRsmWQkkceMahOakCNHgB9+ML3pMpkOvRo/RJuQZ8YblS8P+Ptzv73YsQMXP/44R56gipt+R7EeOTNXjizIxpMoIyOhiY8HEegIGc82ViVXDa978wY6pRKyggW5sE97iCV3HjMIbb9TjGnU9hizGRgCeQ0BS+77vIaRtdbLDEJrIWmncfLkYSFjkGhCTX3tL10aKFTI6I4QIeaECfqwUWNkofSO27VNPDqUuwG5Oh17JnkGKe8u1Rikwbk6fFRSwYZeByKmSXALxG8fhaNCZSeQ/Vmtmp0eNglMG/n337g3YwaiU+ssKry8EDRgAMpMncp5VplYhoBq+3Ykz5kD7X//cQPIAgPhOnIkXEaPhszZ2bJBLexlyZ3HDEILwTajG2MaNQMs1pQhwBAQhYAl972ogVmjLAgwg1DiD0WePCw3bwJRUaZ3jqy62rX1YaRGJC4O+P57PbmMKXn3XR2GfhoLmUoJkDHo45MlHPVw0aJIsXFdMw2csPPDq4jxLg9aFhmxQ4YA770n8QfXBuo/3bQJV3r10u9TOmufyH/cy5TBO6dOMaPQBO66pCTo4uIg8/PLYuAlz52LlK+/RtoDaBhDJoNTq1bw2LVLn6uaQ2LJnccMQttvDmMatT3GbAaGQF5DwJL7Pq9hZK31MoPQWkjaaZw8d1jIxUe1I4SEx0tIXc+eBRYs4B+EPIk1aphuc7xSJSTcuCGkicW/k3fwWpnhOFMzI4U+kVSuWAH4+lo8dK7rqIqJweEiRaA1VWdOoUDx4cM5VlYmbxHQhIUhecYMqHfv1hvRXl5wGTAArhMnQl6wIDS3biG+QgVeyFznzoWbyJIR1sDe2J3XieqD8kh0dDSIgZTlEFpjB4yPwZhGbYctG5khkFcRyHPvuHbcaGYQ2hF8a0yd5w4LFbe+ZILwxQAoeYiCgoBixUxCPHs2cOWK6fIT5I0j7pgvvzS9S/dmzcJdqq0mUKje0n3WyJxxrexInKuesXAiLa9HD6B9e0tHzn39Hi1fjhtffMFL7kPho80iI1lOYer2qw8dQsKHH+pDntOHPSsUkAUHw+v0aaR8+y2U333HHxbt5ATvJ08gNxGmbe2nzdid169fP1HT/Pzzz6LaOWojR7/vGdOooz45TC+GgDQRcPQ7T5qoGteaGYQS301bHBa1WodNm5Lx449JuH1bA19fGT791A3DhrmjSBGFfREjVtELF4R1KFECCAw02Y7CLl+/5h+mSBGA3oVNifLVK5CXkArPc/UIbSD/NNiJ8KAOGUYmY5XKqVH9eSZ6BG6MGIHHK1Zw5TX4pEl4ONx5PhTkFTyJeTYuOBi6ly+Nf9BQKODcowe0z59D8/ffgrC4jBsH9/kZP1wIdrKwgS3uPAtVyfFujr52xjSa448Em5AhkKsRcPQ7LzeBzwxCie+mtQ9LSooO7drFIDRUmSFliMIUyTA8csQPVarkXL6Q0e0h1x4lAvIJ5RBS7p8JEVOPsEwZYM4c/mnir1/Hf23bIun+fX3ulU6XtSC8Bc+YDjIkuAfht9YPoJNnxJv2onlzYOBACwbOpV1uT5iAh/PnC2L/3uvXcMmfP5eiIH5Zqj/+QGLHjvwdnJ2h+OADaPbuFS6rki8ffKKiRBeXF69p1pbWvvOyo0tO93X0tTOm0Zx+Ith8DIHcjYCj33m5CX1mEEp8N619WKZMicfs2YlGoyDJECleXI47d/whl/PX+7MprDEx+mKCpoRce8QIyiM7dgBbt5p+z6WwzN69gY8+El4JeQcjDxzAm2PHOEITt6JFcXPsWOioPqIFQrmDWrkr9jQ7hdd+NY2OMGkSYxtND0zsf//hFMX4mhKFAn4NG6Iu1R1hguTZs5EybRqgVvOi4TpjBlKmTBGFmE9iImTu7lxbbUICUmbNAuUoyvLlg8uQIXBq0sQqBqO17zxRi3OQRo6+dsY06iAPClODIZBLEHD0Oy+XwMwtgxmEEt9Nax4WpVKHwoUj8eYNmSSmZd8+X3z4IX9hdJvD+uYNcPcukD5EkKw4ChOlkECBAvWxscCYMUB8fNaIOQrJJMKWRYsAT0/LVhJz/jyuDhyIeKF8RxPD//Xuv3gW0CzLr6Qb2bqUA2mnMnCWAZIDvS60agUqO5GlDEjqs1D777/hT65VJkhZvBjJ48YJ5r96hoUhoWlTgD7C8ImnJ3yIpVQmQ/KkSUgh17ou4z0iK1kSXseOQU75vdkQa9552VDDLl0dfe2MadQujwWblCGQaxFw9DsvNwHPDEKJ76Y1D8v162pUrsxTzgH6Sg5ff+2BGTO87I8ckblQYXryxJH7kkIBzaiJ9uQJMG8e8OKFvjsJpQKSTUmkieRozI5o1Wr86+sLbWKiWcP4vfceNLMP4ocf9PauwfAj3Yg89X//YwyjxgBVx8Xh0iefIHLfPn0ZBJmMCyGVu7ujyurVKNK9u1n7kJsba+/fRxzFRGcy2tLWLJNBXqoUvO7cgWrPHiTxMRg5OcHl88/hvmwZkufPR8pXX5mEjuoXet+7B5mbm8XwWvPOs1gJO3V09LUzplE7PRhsWoZALkXA0e+83AQ7MwglvpvWPCy3bqlRoYKwQThpkiemTrXQdeZgeJNNSU48Q/WIypWBqlWz6X2jl+zoaLzYtg0XBw82e8XlFy9GiVGjQISqFIX66JE+HbJOHaBSJUHnp9nz5bYOsWFheLF9O8hA9KpUiTMEnaiOJJMMCCR++ilUW7aY9BK6b9gAF6rrCCC+Sxdotm/PakASI6mvL7woNLRwYcSSa10gVNpt/Xq4Ujy2hWLNO89CFezWTQprZ0yjdns82MQMgVyHgBTuvNwCOjMIJb6T1jwsGo0OxYu/RkSElheV48fzoWFD04QtjgAprUWhsEOeI9XBI+syORnX5s1DxN69ZjOQupcujfr//QdnZsQ4wqOUa3WgYvSJPXpA/ccfetc/CX3M0OngNncuXNPVXNEplUgaMwaqlSsz5B0qatWC+8aNUFSsCNXevUhs00YQL/k778D71CnBdsDBIS8AACAASURBVKYaWPPOs1gJO3WUwtoZ06idHg42LUMgFyIghTsvt8DODEKJ76S1D8uSJYkYPTreKCr0zli9uhPOnfOzCjmEtaF/+FCDBQsSsWFDMuLiKB9SjsGD3TBqlAfy5ZNbe7qs4xFBx8WLgFLJ/XZl1iw8Cw012yCkvi6FC6P+uXMcQQ0ThoAtEdBcuADlli3QRUdzYaIuffpAbqJkizYyEmrK00xOhqJ6dShCQtJUU65bhyQR9QDl5cvD++ZNi5dk7TvPYkXs0FEKa2dMo3Z4MNiUDIFcioAU7rzcAj0zCCW+k9Y+LFqtDoMHx2H16mTOaUA2DuWwUWhl6dJyHD7sh6JF7VyL0MieXb6sxrvvvkF8vC4DcSLlBpYsqcDcuX548ULOraVaNaBu3bdOEas9As+eAQ8epA0Xvm0bblIhQ1N5WnwTy2TwfecdvHPypNXUYwMxBGyJgPrff5Hw/vuCUyjatYPXrl2C7Uw1sPadZ7EidugohbUzplE7PBhsSoZALkVACndeboGeGYQS30lbHBYiBjh+XIWVK5Nw86YGfn4ydO/uhm7d3ODhYYcwTIE9In0rVYrCnTuaLAST1JVIJoODXVG/vi/330TOQvwzEyfSv1vxAbh8WU9bmiqquDgcbt8eWvIYWmIUAqh/4QJ80nlhDGPrYmKgPnqU80ZS2J68RAkrLoQNxRAwHwEqvxJbsCBADMA84n7sGJwbNrQ4ysAWd575q7VPDymsnTGN2ufZYLMyBHIjAlK483IL7swglPhOOsphIaPs/Hk1l39YqJAc9eo55VitwqNHlXj33WjBnWzXrgBcXfWho+Qp9PICyIEntrQEke7cvq2Br68MDRo4w8kpk3EcFgZQDmE6eXn8OMK+/jotN0tQyfQN5HKUX7iQI5hJMwSVSiT/739Q/vjjW/IOmQxOrVrB/aefTIb6mTUva8wQsBAB5c6dSOrUyXRvqlNIZ8TFBc6dO8P1q6+40FNzxFHuPHN0tlZbKaydMY1aa7fZOAwBhoAU7rzcskvMIJT4TjrCYfn7byWGD4/DrVuaNDRLlpRj0SJvdOhg43qFCQk4t+8Zzp1Owa1Hzti43xtv4oyHtDZtmg8FC74lwyFvYZ8+QOvW/A/BlStqDBkSixMn3hbxLlRIxpXe+OwzfSFuTm7dAl6/zjDYg82bcZvqR1gimQxCetFK7NIF6p07szJDOjlBFhQErwsXIPf3t2Q21ochYBUElLt3I6l//yxnIcvgFJMul8Njzx44t2wpem5HuPNEK2vlhlJZO2MatfLGs+EYAnkUAanceblhe5hBKPFdtPdhIWOwVatoLscwfVSkoS78tm0++Phjy2uOmdweivu8fZsLT9Pq9LmOlC9Ifw9bVBBr9vhm6dqokS+KFMlooFasCEyfbvohuHFDjbp13yApSWc0HHX+fC+MG+ehH4BqIl6/njbY84MHcWny5Gw9YcQ26lOzJjeG+tgxJDRpYno8hQKukybBbdq0bM3JOucdBDQ3bkC5YgU0Z88Crq5wbtcOzn37Qk4x1dkQ+nihOXcOmkuXoP7nH6ipZAWd2cxCrnofH/g8fQoZeQ9FiL3vPBEq2qyJVNbOmEZt9giwgRkCeQoBqdx5uWFTmEEo8V20x2F59UqLQ4eUePlSg8mTExEdrTOJYpEicjx+7G/9EhDEUhiVtWYiGaUpShlq9A3GrUcZS2MUL+6GunV9OMs14PVJlH70K/xdolC/UykE9e8Pj1KlsqyjY8do7NmjNPouS42pPuDTpwXg7y/XW8T37gEvX4JeiE/26YP4+/ctyh+kwuq+9eqh3vHjaTolDhgA1YYNGWj/MytMXkKfJ08k/lQz9XMCgZSlS5FM4ciGLyk0qUwGmZ8fPP/+OwODqKX66FQqxBUqBJ1QXuH69XARWZswp+685cuXY/78+Xj27BkqV66MJUuWoHHjxiahOHLkCMaMGYNr164hMDAQX331FT7//PMM7aOjozFx4kTs2LEDb968QcmSJbFw4UK0FgpTSB0lp9Zu6X4b+jGm0ewiyPozBBgChIBU7rzcsFvMIJT4LubkYSEv2ciRcfj55+QMTJ5CEIaG5kOLFlasW5iYqC/vYERSlEDL0YE4dskdOl1WApxaVWT4/FVvBL/YD63MCTLouHxCnVaLUpMmocz06WlkF69faxEQEMl5P00JeUKXLfPCsGGpXkKdDlG3XuLI7xHwmFyLFxoy+lwCApDy9Kme+YYMylTXqnupUqh75AjcgoLSxoj/8ENoDhzgh1uhgC+5SZkwBHgQ4GUEpWLzfn7wfvgQMrEJtibm0oaHI06I8MjZGS7DhsF98WJRe5YTd97WrVvRq1cvkFHYsGFDrFy5EqtXr8b169dRrFixLHo+ePAAVapUwaBBgzB48GCcOHECQ4cOxa+//oqPP/6Ya69UKrmxAgICMGHCBBQtWhSPHz+Gt7c3qovMo8yJtYvaBIFGx+68Qq81Z1GqoCcOjm1qjSHZGAwBhkAeREAqd15u2BpmEEp8F3PqsFA5ijZtYnDggJLXQDIG59q13ujXT1w4mKjtIA/Yo0dGmy7Z6osxywpkMAbJxgoKcgV5CLvc6Ylyr3ZCrjMSvgag0ooVCB48mBv72jU1qlTJ6oVMP7GzMzB2rAe++caL++e//gLIieeV8ABd/szqcUzfV+bsjGJDhyJfo0Z4snIlEu/dg3OBAgjq0weBvXvDyds7wxoT+/WD6pdf+D2EhQvDh8pf5GVRqfQYkfuWvF9MsiCQ0KqVvp6gsTDO1NbuK1fC5bPPsoWe9vlzxBUpwj+GkxNcx42D2zffiJorJ+68evXqISQkBD8SeVOqVKxYER06dMA3RvQcP348du/ejRs3bqS1J+/gpUuXcOrUKe7fVqxYwXkcb968CWe6OCyQnFi7BWpl6cKYRq2BIhuDIcAQkMqdlxt2ihmEEt/FnDoslCvYsqUwk6cxOPfu9UXr1lYklwkPpzhNo6GYZbsWw72nzmkGobOzDI0b54O/vzM8Y+/ikwPlOK+gKXELDkaTBw8gUyjw4oUWhQtH8j4h5F1csMALo0d74PRpYNEifXO5VokeuwvBVcWPWdUNGxDYq5eop1B96BASmjUz3ZZyCP/3P7jNmiVqvFzXKC5O/6EgJka/NPoSQAQ75NFxs14e66NHGqxdm8SRKHl7y9ClixuaN3fOMVbd7O4bhTPHkrHM50mWy+H88cfw+O237E6HuBo1oL1yJSsRUrqRPU+cgFODBqLmsvWdR548Dw8PbNu2DR07dkzTaeTIkbh48SIoNDSzNGnSBDVr1sR3RFucKjt37kTXrl2RmJjIGYAUFpo/f35u7F27dqFgwYLo0aMHyJhUmPhwkZKSAvpjEFp7cHAwYmJi4OPjIwovezRiTKP2QJ3NyRDIfQjY+r7PfYhZviJmEFqOnUP0zKnD0qtXDH79NYXPoWAUjwIFZIiIKAAXFyvWL3z5Erh7N8t8FNqpaFwmw7/Xr++DwEBX7mW98p3vUO/iGMjAEwNKtf8uXoRPaghXy5ZvcPCgyuS66T2OciQLF1bgyy/pv9/aqbWuTEC1m/MgNzafXA4nX180ffoUCpHGCscy2q4d1OSGzBzHSiyjhQrBKywMcqoFl9eECH3IO2Os3iOxWVarZhWjcNGiRHz5ZXxahC99ECC7isqs7N1LHx70ZU0cWTiDkDARiIV26tABnjt2ZHspqt9/59hxjYqTExR16oAMQpmBiUpgRlvfeU+fPkVQUBAX9tkgnZE6Z84crF+/HreITTiTlCtXDn379uVCQQ1y8uRJLkSUxitSpAgqVKiAhw8f4tNPP+XCSe/cuYNhw4aBDM0pU6YYXfW0adMw3QjrlaMbhLSYj388iQvhb7C0e020qx6Y7eeIDcAQYAjkPQRsfd/nPURNr5gZhBJ/GnLqsDRvrjeMzBF6v1uzxsrhoqQAhbmdP58l3I1sAY9mpZCs1L+Ue3jI0bq1f9qLZrWbc1Hr6iST4aKGtdU7fRr56tXj/ue5cyo0avSGe+k39v48frwH5s71QmQkMHRoRnQU6kS0Ovo+Al6fAaCFwSSm3EFKXAz5808UaNHCHEihS05G0qhRUK1dC1BoZKoomjaFx/r1kBvJbzJrAik2po2n5yEdHlmW4ecHEKVsNmTbtmR07RprdAT6MNCokTMOH/bLxgw51zX+nXc4FlCTRqFcDre5c+FKXzmyKZpr1xDfsOFbz2268eTly8Pz6FHIAwJEz2LrO89gEJJBV79+/TS9Zs+ejY0bN3Ihn5mFDMJ+/frha6o5mipkUDZq1IgjpSlcuDCoTXJyMijf0OARXLRoURpxjTEApOohpLUwplHRjzRryBBgCJhAwNb3PQP+LQLMIJT405BTh6V37xhs3izeQ1iwoDOaNvXjIvWaNgXatgWs6riien9GvtT3mhGALf94Q62RoUQJN9Sp8zasquizffjguEDRQZkMfk2bwrtqVRQdNAjeVaqACt/36xeL+/ffehaJIX/8eE9MnuzBeR8pgjVd/fi0p0qhSUKlO8tQ8d5yeCeGQ+fkgsBPuqDkV1/Bm7xWFoo2MhKaQ4egUyqhqFULigoVLBwpF3QjtlkjL+lZVla7tj6v0AIhr1r16lG4elVj1AlpGPLsWT/UqWNZfpgFalncRbllC5K6dzfen77kuLrC+/FjyAsUsHgO6qiNikJ8hQrQ0R5lzlck96qXF7xv3IA8ULwHydZ3nq1CRt99910udPSff/5Jw3Tfvn1cKCkZfi4ink1brz1bm52pM2MatSaabCyGQN5EQEp3ntR3iBmEEt9BWx4WjUaHuDgdduxIxqhRCdx/i5X0Nf/ovY8MKIp8sqoDKzZWH6NpyBmTy3E5qjDqdPTgPHpEIlOrlneah1Cm06Dr3pLwSHoKOYyTyhjWR148nVqNUhMnoszMmdw/Hz2qwp07Gvj4yNCqlQu8vd+GByqVwMCBQHKyaYRkWjWGDlfg3XetGD4rdkOs0O7JkwTEx6tQtKgnvLwcyOgha/zhQ+EVVq4M+GatTyncEYiI0KBo0de8TcnxSx7jWbP0BEOOLGTgJn3xBVTLl+uJdwzGGi1CJoPH9u1wpq842ZSUBQuQPH68aU8k5b1+/TXcUs+YmOlseecZ5idSmVq1anEsowapVKkS2rdvb5JUZs+ePRwLqUGGDBnC5RwaSGUonHTz5s24f/8+5HQpAlzO4bx587iwUjGSE2sXo4eYNoxpVAxKrA1DgCHAh4CU7jyp7yQzCCW+g9Y+LPSiuHNnCpYsScKZMyqQoSNW6B2HwiorVvRAlSoZX4rpN6qgsGBBWmUFscMKtyPrj15oiblPLkdoaAoX2qfTyfHBB/4Z+ge8PoVWR5pDrlVBrhNXnqHKzz8jqG9fQT3WrQP27zf+7ktOFzKKV62y2EklOL+tGvz55yNMnXoB//2nN4jc3BTo3bssZs2qhYIFrcgea+kCXrzQ138UEsoLtbCMwvXralSuLMw4O2KEOxYsyMgOK6SWvX6ns67eswcpy5ZBc/48ZC4ucO7YES4jRkBRqZJV1IqvV09f9J5H5GXLwvv2bdHzWfvOMzaxoewEMYNS2OiqVavw008/cTUGixcvzoWGRkREYANRCgNcGCiVnaCSE1R6goxAYhlNX3aCSkyQUUm5hsOHD+dyCPv3748RI0ZwtQnFSE6sXYweYtowplExKLE2DAGGAB8CUrrzpL6TzCCU+A5a87BcvKjCxx/HZAiNFAMPRToR26KbmzPKlPFAQIDpsDxyBJQvL2bU7LVJTNRh69Zk/POPM1QqKj3w1ivnG3sDlE9Y+vEWKLQCFi95S8qWRaObNwVJL6g8InFDUFWM9PmGZAyTQUiOkho1sreunO69du0tDBhwjKvVmH5NCoUMxYt74cyZ9ihQwHoMnhatj75aUA4hn7i6AiEhFn+NWLJEh6++ioRKxe8l37DBG716OYCRbBGQ1u8US+GiRkK7088kCwyET0SE6MmteefxTUrewW+//ZbLASRjb/HixSA2URIy6ogg5vDhw2lDEPvo6NGj0wrTE3to5sL0ZChSG/IcEnHNgAEDeFlGM+uXU2sXvRk8DRnTqDVQZGMwBPI2AlK686S+U8wglPgOWuuw3L2rRq1abxAbKz4s1ABd4cIybN/ujyVL+BkWySjq1w/48MOcAZ0ch4sXa3H0qA5ubnrdiMmQXlRIYqNTUCb8Z7S5M1wwhLTJw4dwL15cUHEyCvfsAUJDAaqCQIZUnToAsdeXylSW8NWrJHz//XWQ0RUZmYLAQA8MGlQBQ4dWhI+PZbluggqa0eDNmxQUKbIJKSnGWVnJKBwypCKWLRNXLsCMqc1vev8+8Py56X5ly1qcxPrmDTBkCBAWFo87dxJN5hDmyyfDs2cF4OZmOiRYR55sudzoxwVtRASUK1ZAtWMHdImJHPum69ChcKIk3BwU3Zs3oBxVInqRWRhiS+qeWboU8jFjUEajgcmbQaGAU4sW8Ny3T/QKrXXniZ7QgRpKbe2MadSBHh6mCkNAgghI7c6TIMRpKjODUMq7R0ZNbCx8fX3Nqkt1/rwKp0+ruNShFi1cUKaMEwYOjMW6dclml5UwwNerlyeSkz0F0aSa782bCzazSoMVK4Bvv41FREQKSpZ0R8mSbnB1lSMxUYP795Px8GES3JCITZrK3N980uj2bXiSUSFSyJtG+YTkPaW0rMzy8GEcGjbcgxcvkkC5mgYhgpoyZXxw/Hgbu4djLlt2DSNHnuIlUfH0dEJkZE+4uRlZpEisrNKMjHwyCil8lIS+PtC/0d8lSgBCxdF5lDh6FPj+eyovocWhQ9GIjs4YamyolvDDD74YMiRrvU2tWo0nP/2ER8uWIeHGDcicnVGwbVuOWMjAZqs+dQoJLVsCSUkZ8/nUarh8+SXc5s0T9FBnF0fV4cNImTABGiqoSdiRsdaxI5ffZy5p0aWpUxE3YwYoGEDo04bH7t1m5StacudlFxtH6S+1tTOmUUd5cpgeDAFpIiC1O0+aKKe+NukM7hIpryIP627OYbl3T41PPonFhQtq7j2ZhN772rRxxt9/q5Cu/rHZiJLh0717QSQmmvaO0JzE0UC1wm0txNEwbJgWu3dH8pZbIz0mYCCaYI9JlZzy5cN7L15ALoIFUOy6Gjfeg9OnX0KtzuqRJc9bp04l8NtvOWQ5m1B6+PCTWLnyJlQq/rqN4eHdUKyYgxCpkBVONUCoBAVR3BJLJuWWZkMOHgTo4wIJ7dft24m4dy8Jycla7hwVLeqK8uWp/IgzapZ4DeVPP0G1eTN00dGQlS2L23FxiDSEtKZ6pznSIq0W1X/9FYU++gixwcF6ciQTtQHdt2yByyefZGMVpruSngk9ekBjzEtHX408POB1/DgUIllxU0JDEf/BB1yQNgVrG4SedMPtYPhv57594b52rVnGrjl3nk0As+OgUls7Yxq148PCpmYI5AIEpHbnSRly5iGU8u6Z4SF89UqLatWiQH8bY3/nq1EtFqKWLd3h7e3FlWHILPTi3KgRMHy42NGy1+6336gGogqhoW9MDkQ6UShpG+1q9EuZaLKA/P1ao7DZdSJ8fOTo1MkV3bu7wcPDPKZQZWQkXmzfDvr7tTw/mkzQIgVZvUkGZckofPy4O4oU8cgeENnoPWnSecybd8mo0Zp+2KioXvDzM72WbKjgEF0fPQLGjcuoCn1HozOjzw+VcYbh9+PuwbVtQ+hevUoz7J7LZHiYagQaOxTkLWw0dy5UY8aYXqtczpUW8RIgZxELlubWLSh//BHqY8c4D6qWkl4NnlVjgygUUNStC6+TJwWn0CUlIZpqCsbHmw4TBUCn0nn4cAQuWQJZKuOm4OCpDfLyC4LU1s6YRsU+1awdQ4AhYAwBqd15Ut5FZhBKeffMMAinTo3H7NmJFoeEioGJXorr1HFFsWI+cHKScXMZGO2J4JFeqonbIydkzRpg50419u7NygxJulWq5MGFkbq46LObCr88jBo3ZiLo5UHuf+ugf8nPV60aRiRuw9k7vmnEKsWKyXHokB9KlUrv/zC+KjIc7k2bhvvffMOVsZApFKAQwiS4YiU+wQE0NgnHn3+2xEcfFcsJuIzOcenSa9SosTPttyA8x0c4gqq4zeETJquMqPpd8McJYQZWuy3CShNPngzcuWPcgUf2TO3aOgz+qQK0xHaa7ovLRQA8lUg4i7Jm9epwvXw5a52+TLr7pKRwTKDZEeWaNUj67DO9JUtJtmaI17Vrguyjyg0bkNSnD++oCQBWA+j066+o0q2bGRrom+blFwSprZ0xjZr9eLMODAGGQDoEpHbnSXnzmEEo5d0z4+WoePFIPHpkOvQvfQhpdiH59dd8SE52ATlKfHwAIuajuumGObI7vpj+u3YBmzbpsH9/FOLi3tYcdHaW4b33/ODtrcjoyeS8ODo0Oj8QZcN/QaxXKdTp1xolOrZDmU/L4sHTt2GHlBNYsqQCN27kB3ny+OTezJm4S9SjmcQQMjcbn+EY6hgd4sCBD9GyZVExy7VZmw4dQvHnn4/RVHMSY7COm0cB/XNEVCEKZyeE/LETBVu3tpkOjjDwy5cAGYWZozrpmS5cGJjc/DCc27+XQVVCib/gAjjDrEpwMLzIS5fZdZ9p4dk1CNVnzyLhnXf0ceIWiMeOHVxZCj5JGj4cKT/+CJnAWn4C0O30aRStV89sTfLyC4LU1s6YRs1+vFkHhgBDgBmEdnkGmEFoF9j1k86ePRt79+7lKMhdXFwQHR1ttjZiXxC8vV9SFBevkPPBnLqDxgYjY6lrV1ds2vS2ADi9FFDe4u3bGvj6ytCsmQvc3c0LuTQHGFon8YvMng2EhyfjzJnYtO7VqnmhbFl3o2GthkYyaPFO2SiMaHUb1+67oHqf4AxlKwzt/vzTFx99ZNrlqYqJweHChaE1Ua2eXsufIQCfO8+DSq1JYz+l8T08nPDixad2LwCfmKjGqHZr0PHfIZBxfsFMIpNxuZWN7tyBO+XBOYBokpP/z951QEdVdOFvW5JNJ4WSEEpC7wm9V0FpAtJRmiAiIkUEFRFEURGRJkgRpUmRKkVRfunSewmhJHQSSnrf+p/7lpRNtryt2WTnHnOI7My9d76ZN7y7t+H53r3IevAALoGBKP366xDTNxMWEhmDlGZHOYVUQbZUKaBTJ6BLF0D07Qxkf/utlteN9ve0EZmUS1ilcWP4nzypfySFjDZqBM/TxrgZFkZ5goqtW032DOZw9ThwAGJasAHKGDkS8l9/NYr01ipV8PatWyblDuYw5XvnGVWiGA4ojmtnlUaL4UFjKjMEHASB4njnOQh0JqvBDEKTIbPehJkzZ8LX1xePHj3C6tWrbWoQ1q4djxs3yOjQrT8Zco0aiXDqVJ43zdyVNm0qxqlTftz0s2flXAXTK1fy+JJROH26O6ZMcTfrhVCfXlRLZONGgN6t8zsoHj/OwsmTGqPw9dcDIJEYao+hhlCgxreDr6BSYAb6fFoWO48ULphCeI0dK8XixfqbkD/ZsAFX33pLp7pZLn64UuNjRFUeDbmLL1QqJR4+vIuoqEtITU3ClCl18d13pntPzN0zQ/OujRyJx+vWA0o9IYYiEUKnTUNVssCLmJ789htujB8PBfWKeBmvLHRzQ9isWVxVT8r3swVlff45sr/5ppCxdQNAshGB9devh/uECVCTxanHsybdsgUu/ftbpHqKvz/UCYVDqPkwFfj5wSs21mjIanqPHlDs3WuQJeGhOnwYldq25SO60BhnfkEojmtnlUbNOuZsEkOAIWBCFBwDy3IEmEFoOYYWc1izZg0mTpxoU4Nw0aIMTJqUZjBarHlzEU6etMwgpNSkbt1csHu3L65cUaBZswTO66jrPffzz93xxReWV6eknLxbmw/gu70tkK7yhFqrtqFme2QyFR48yEKVKsaKtKjRpEo8xne+hQ8WBmLlH3mezvwbTYUrR42SYtky/Qbh/SVLEDVhQqEQvUzX0tjT4STS3CtALcxr16BSqUA/QuFFbNrU0IjhavGx483gcPnyyDbSONy7USM0P3uWN09bDIzbvh2X+/bVy7rad9+h8kcf2UI0FIcOIb1Dh0K8yfgho1AXkXfQrWJFtLpxA6rz5zVtJ9LT8xIV6VsHhQKuH38M16+/ttiYTfbzA8hQNoPcFi6EK51lI8RHhqJmTfhHRhpjpffz4mgUmb3YAhOL49pZpVFr7T7jwxBwPgSK451XXHeJGYQOsHOmGITZ2dmgnxyihyUkJMRoH8KMDDVatkzE1auKQsYZOU3q1RPh8mXLjMEcnbZs8Ub//m7o0SMJf/0l05saRe+7jx4FoEwZww3tDW1R6rVruNC1K/aX/QoxFQZBLdTdYoAMuHffBZYs0eZG4ayxsTLExcm4kE1/fzHGvKXAwmWZuBZl2Ju0Zo0Xhg2T6lXv+b59uNC9e6HPDzdZh5iQgTp1FQjUoPf2pUsFXN0PR6BDQUGQxcYaVMUrPBwtLlwoMnVp745VqYLMu3f15siJPDzQLi4OYk/Lv4QouFCSn1a3LlQ3bxbyEj4DEEMTcryTtLFKJaShoWi4ZQvcqEopxZ9KpZCtWAH59u2gap0UJuo6bhzErfUXHjIF8PSePaGgmFcTi8m4zpwJ+uHjXU2mqlFG4s6F9erB89w5rh+jOeTMLwjFce2s0qg5p5zNYQgwBAiB4njnFdedYwahA+ycKQbhrFmz8MUXXxTSOjk5Gd5G8qSSk1WYPDkNGzZk5b6zeXsL0LatBHv2yCxGgt5zPT0FqFRJgMBAIQ4eVBj0SNL78fz5Hpg0yXhDe13KyeLjcbxGDaSnKrGh+1O9xmDOXDIIDx3KqxaZnq7E0aNJSEtTavVl9PISYPBgV6xcmaVTf1qnr6+AM2ZdxQo83bYNj3/5BVmPHsG1fHkEjxiBsuSpEgpxJCQEMirp/zJWl0JFN/aI8BMOwgAAIABJREFUM6rrJ58A4eEWb4lVGFweNIhbI1VJ1UVUObXCBx+gxg8/WEWeOUySz53Dqca6i/Pk51dv82aUs1E/P2V0NNLbtYOavKk5sdkvw1ZVvXohvn59pF69CpGbG0pTG4fDh6HcvTvXIygMD4fbnDmQvPaaORAYnaM4eBDpHfn3thTWrQv37dshqlrVKO+cASlVqkBNlVaNkKBCBXj89ZfRqqW62DjzC0JxXDurNGrsaWCfMwQYAvoQKI53XnHdTWYQWnnn9Bls+cWcPXsWjRo1yv0rUwxCcz2E+eUnJKi4cE7y0IWHi1GnTgLu3TPcfJwvTGTkmVLEMCBAgHbtXLge4t27u6J3b1e4uPDL84qZOxe3P/0UiZ41sKPLdYMq0nt5jx5AnTrAV1+Rg4YqkMYjM1NVSF8y+Mh50bKlBAcPynPbTZAAwow+27/fFy3Cs3H+1VeRdOIEEnzrI8G7NsSqLATFHUBgo9po9PffSDh6FBdff12jm0qFp37NsLejgQIimsKTGDSI8h35om7bcUknT+J0ixb6hYhEXNijhwmGg7U1fvH339xeGCSBADWXLEGFceOsLT6XH+UBytasgfy337icQGGNGnAZMwbi117L9bBxhmOTJoVzBmnj1WpwTegtzBfUt8CsOXOQ/dlnmoOcY+DT72o1XOfMgcDbGxTKKu7YEcLQUJNxSm3RAipDBXJyOIpEEPj7w+vmTQh8fU2S48wvCMVx7azSqEnHmw1mCDAE8iFQHO+84rqBzCC08s69ePEC9GOIKlWqBDeygF6SKQZhQb6WPiyXLskRHm5eXpG1oCMjUiCQQ6XKQPnyLjh8OBhhYXm5dfrknGjYEKkXLiDdLQibezw2qA69a1PLs169gKNHgWnTMnHqVKreOfSOPGKEG1q1kuDHHzMRGamAh4eAC4X94AMpqlYV4+qwYYjcfR5HI37Gc/9mubxEykzUvrMY3WtfQ4ON6xF/8CBuffwxUs6eRbxPfezqTN3p9BPhMXw4YCNHkVnbdm/BAtycPJkzFnI8hdzvKhXqrl2LoDffNIuvtSalRUXhv5o1jbKL2LsXgd26GR1nywHpvXtDsWeP7sRa2nxvb3hTARep/nDkgvopIyOh2LcPapkMoogIiDt35npe6iLFkSPIXrIEyuPHucI74m7d4Dp+PER161q87GTSWU9V3ULMBQK4LVjAKzcx/1xL7zyLF1mEDIrr2nMqjc7qUQvDW1YuQgSZaIYAQ6A4IVBc77zihHGOrswgdIBdK0qD8PhxGVq3Nr3dhfVgo7bdVGCCDDpNCVSJxBubNjXBG29UMijmWLVqyKBu4QB2dziBF6WaQC3U3yye8gfLlNGwbNAgCZcvGw6TpbDQxMRAnTpkP32KvdVaYme705BLvAuHgKpVqHbvF8zY3Q2u5cpxPDJiYpD19Dk++aUhEpMNG7w//giULm09lK3BiTyF9xcvRsKRIxAIhQjo3BkVJkyAd/361mBvMY9TzZohmQrbqHR4uwUCrgVF28ePISRrPx8p79yBfPVqrqk85fJJBgyAqH17XjlzpiqtevYMqXQedOmYj5l040a4kJvYCKmTkpBB7SQoN5C+9XjZcF5QsSLct26FmEcYrTEZfD8nT1CKiYmvohYt4Pnff3xFcOOc+QWhuK79hwO3sPjf2xAKgG/61MWAxhVM2nM2mCHAEHBOBIrrnVccd4sZhEW4aw8ePEBCQgJ2796NefPm4dixY5w2VapUgSfPwheWPixPn6oQFPTC2PupjVCSAzgEgIrkFO6HsXp1a4wcWV2v7Ev9+uHZrl2cx+px6Y7Y3+YfzViBdjUWcrq0a0dtIjQfZ2QAoaGJePqU5Osnqo+RlaXbKnu6Ywd+/PoFblUaYTAf8JPO+xE+SjuU8X//A1au1C2XdKXoTB4FHW20J8WXLRmDZ9q0gYqKmuQ3uF4Wc2mwfTvK5GusTgZM9hdfcD9ciwqKdX5pUInatoXH7t1cCKU1SXH2LBcuapDEYq6IixuFdhog8s6mt24NJfUnLFjGl9YjlcLz0iWIwsJ4LUF17x5Uz59DGBwMYVCQ1hzltWtQ3bgBeHhATMayHu9lSmAg1EYiJPIzpgIzXpcv89IvZ5Cld55JwhxscHFdu0Kpwic7rmLr+Uccoh91qY732oXZ5EsXB9sypg5DgCFgAQLF9c6zYMlFNpUZhEUGPYUFDsfatWsLaXDo0CG0IwuGB1njYenbNwm7dumvBspDDTOHUOjkQ53GIDF0cxMhLm4IfHxcdPKP//df/PPGJCR51YBEkYZsl1I4EbEMcokPhCoZ1AIR1AIh2rcXYPRoTdoUEb1/9uuXijt3Mg3mO1JY6K1bmn6KBenx1h2Ysvk1KEX6w/oEKjk61LiDMV9phzKS3bFtG0A9wnMcKmSz0Dt9w4bAxIkAGaOMTEeAistETZqEJAqHfEmedeqg2rx5CCyQYyhbvRqZo0bpFkKhlF27ckahNYm8kWnGci2FQrgtWgTX99/PFU2hoIp//oGaQknLleNCQqlITIahuGKxGC6jRsF1+nQur1EVE6PxgA4aBHG+HGbF0aPImjYNylOnNPIEAoheeQXSefM4Q5kwyv2MPvf21rTC+PjjQi/0mVOmQDZ/Pj/IRCJIBg+G+7p1/Ma/HGWNO88kgQ40uDivnb6Amff3TSw7rCk6NLxFJXzevRaE5DZkxBBgCDAEdCBQnO+84rahzCAsbjtWQF9rPCwPHyrRpEki4uKsU1iGH6RUsXI/VVrRO5yMpKVLW2Ds2FqFxty/D/z0kxoxMXkvExJ5MupGfQ/PzHtI9aiCgIga6Pl9f5Qpo/3CcfEi8MknCvz9t+Em3R995IXvvtNt8MXffoKx07W9KAWVJIMwomw0ussXcN4n31atULZ/f67KJNGzZ8Dhw5o/ySHcqhVAzhwb9U7nty0lZFRGdDSyHj7kwkQ9atUqZLiQdy01LAxqOkgGqiB5RkZCxCM3kS9sXHuKBg2gunZNf9ioSASvBw9yvXSyDRuQNWmSludNEBDAFazhDDVDbSRcXDSfaxJ1NWoqFBD37An3TZtAxmAGtUYhDPJ7VcnDSNWT6FuUzEyd+Y4uH30E6XffaS1dnZWFFIrLTknhBYnHiRMQN2/Oa2zOIGvceSYJdKDBJWHtvxy/i9l7NX0ou9Urhx/614erWH+ovwPBz1RhCDAE7IxASbjz7AyZ2eKYQWg2dI4x0VoPy+PHSrz9dgr+/ttwGKX1Vp0G4KBBdhKJEOPH18L8+XkFW2gCVfWntgwFIwNzmEXELcfgQWqEjBnD5boVJHpXHTMGuH49HVevpuvUoVw5F5w44cO10NBF5M17a2A2FAL9rjwyCOve/B5Noj7nWFBoq7B0ELyW/g/CCjVRtixQgaXSWO9ImcBJeeMG0moV/qJBiwV56r79Fq5WbmYv37cPGVTyVpchSrmO48dDumgRp4ps40ZkDhliwsp4DhUKIe7fnysso9Umg+f0nGGu8+ZBVKMGRJ06QfH335AtWgTlrVsA9a00kidJ7nHvFy80PRhNIGvdeSaIdJihJWXtuy8/wYe/X4JcqUaLMH+seKshvNzM60vpMJvDFGEIMASsjkBJufOsDowNGDKD0Aag2pOlNR+WKVNSMX9+pp3Up7zBvw3KEokEmDy5Ad5/vwGCgoQQizXG2YIFAKVN6XvfpObuy5YJ4O+vnz0VbaGowgcPshAVlYHERE2PPalUiGrV3NGzpxSzZxsOZVrxYxYOHhFDLdBfIOaN/TXgm3qTy5C8ETYWF2p/gWzXvEI15BF85x2gMiu8Z6dzpxGjvHgRaRERhmVSLt/nn8Ntxgyr6ybbtAmZ1BiTvp0gLxwdZjIG33sPbj/8kFvNNbVCBS5M1OGJvngxZgDqWITH6dMQG8upLDDPmneew+NagtdODevfXX8e6TIlagd5Y82IJgj0YrHyxe1MMn0ZArZEwJnve1viqos3MwjtjbiV5VnrYYmOVqBq1QSTeggaW0pOlJr+90SqLhhvhE0HAJ6gfoXjxkkxYYIHxo4VGHz3zN9iQh/z9HSAaoncu6cZIZerOJ6urgKULi3A7NmAn+70wVyWVDtj6lQ1MtLVUKkLeCLVKtSI/gktL2rywK5U/whn62mH19Hf5/Q8nDOHeQuNnSdrfq5OTUUKlXE10iLB/Y8/IOnZ05qic3mpMzIg37FDk9vn6wtJ375axVwU//6L9E6dbCLbUZh6XLoEsYlVaq115zkKBqboUdLWfvVRMob/egbx6TJU9HfHupFNUNHfwxRI2FiGAEOgBCNQ0u48R94qZhA68u7w0M1aD8uQIcnYuJG8dtahhg3FqFlThLAwEYYNc8Px4/Lcfn5SqQBvvOGKrKwXWLPGUNhoMICGuQqR8dS2rSsCAnyMKklpSVQvhKrxHzwIJCVxtTDQoQPQtavm9+xs4MgRgKp+knHn4wO0bw907MgVU+RF5LxZvhygAow5JFFloM6NeWgQORtCqJDl4odNPWKhEuoujkPrCg+n3oi8RNp8EOW5nT37HFeuJEAqFaNLl/IICMjrm2lzBewkgDx0sp9/1t0PUCiEoGxZeN2/z3nrioI4L+LgwUUh2m4y3TZuhCuP9hr5FbLWnWe3RVpRUElc+90X6Rj6y2k8TMhEgKcL5ymsE2z8jrcirIwVQ4Ah4KAIlMQ7z0GhBjMIHXVneOpljYeFehG2aZNkVe8gqU8VOqlSpyHatesehg8/iuRkGShnUKlUQ6WiAMvyAKi/nXaxAYlEgF69AqgUokG+5J0kA48i8vJ7KMn4opSlL78EAoiNlYjyGh8+BKiGR/JbDSGLvJDLOTLsPZwMX1KoHUZ+0aTvqlUaQ7Uo6dq1BLz55mFcvpxTcKcUhMIANGlSGt9+Wxlt2riWmFLx6sREpLVqBVVUlPYhIQNQIoHHgQMQt2xZZNuhOHYM6W3aGJXvMnEi5L//DvWTJ0bHOtoAUfPm8DxxwiS1rHHnmSTQgQaX1LU/S83CsF/O4kZsCjxcRFg5tBFaVrHiBe1Ae8hUYQgwBPgjUFLvPP4I2G8kMwjth7VNJFnjYWnXLhFHj8qtbhBOnSrF3LleRtedlaXA9u33cPNmMo4cUeH48QCoVLpddGQ4derkAz8/VxNTlnL6HAq4ME2qJ/K5ptaL1eny4MF4unUrV0SG6FydObhabQpUIt0ewhwFvv++aMNG795NRUTETqSmyqFUkkewMQDffJVghQgPF2PHDiq2UzKqAqpTUpD9ww+QLV8O9dOnXL8PasvgOnWqVauLmnPIciuh5sQ162JSoQK8795F9oIFyJ4yxRwxRTtHIoEPVYcygaxx55kgzqGGluS1p2TJ8c66czgVkwCJSIAFAxqgez3DlZwdanOYMgwBhoDVESjJd57VwbKQITMILQSwqKdb+rDExSlRrpyxPD7zVlmligBDhkgRHa1EqVJCDBzohubNxQY9TN27J2HfPsMviD4+InTr5ge53Hj/qrohSejb7CGql0vlCrtcf+iDPReCcPl+KVDq0t27mmr89DuFkoaGmrfW/LMSjx3jGqTn0LUqH+B0gx8AgWEjiprV+5L9VUT0zjvH8Ouvt6BQkJ7UB5OMQu3cSOpGEBwsxJUrfvDxKVzBtYhUt4pYNcUQu7g4lAc0e/16ZA0dqnd91HrC89o1pIWHa1pZGGihYRWQrM3EzQ0+1NbCBLL0zjNBlMMNLelrz1YoMWnLJfx5NY67l2d2r4XhLVnFLYc7iEwhhoCdECjpd56dYOQlhhmEvGBy3EGWPiw3bihQq5bhfnyWrJ4MCCL6x50cZl26uGDbNm94euo2JgYNSsbWrdlck3Z9RPl9K1aUxh9/GNfs016RqFshCaKX4pQqcL9vOFYRey4E574/k9eQ3qWpHQXlGVpKN6dMwT1q0C0UIlMSgE3dH0Et1F1WnWTXrQtMn26pVPPnK5UqeHquRVYWAU9WcW29Ybm0lwsWeGLCBHfzBbKZvBBI79MHip07DY6Vbt+OrLFjoaaGlsWMhBER8Dp/3iStLb3zTBLmYIOdYe1KlRpf7LmOdSfvc+i/374KPuxczaG+qHGwY8HUYQiUWASc4c5zlM1jBqGj7ISZelj6sCQnqxAQ8MJgb2szVdM5jQzE3r1dsXWr7qIB27ZloV8//U2tKb3rrbfcMGqUNxYuNK7Zt4MvI7S07l6DU3+rh3vPPbWYkLHzww/kBTPO29AIKswSu2ED7s6bh7SrV3Gh9mxcrFW4fQG1yKD2Gl99ZR3vpLlap6bK4O297uV08m7S/uj3wFLRoHPnjJRhNVcZNo9DQHHwINKpwhEfMrPtAx/WthwjbNQIXmfPmiTC0jvPJGEONthZ1k73548H72D+gVvcDgxoFII5vetAnPPNnoPtC1OHIcAQsA0CznLn2QY907gyg9A0vBxutDkPCxVuoaqfL16ouFyw779Px9atMoNeOWsvXF/BGblcjQYNEnDrlrKQkUrvvFS05fx5P4SGirn+ffq7BqhR1jcLi4Zd5LyTBUmhBI5ElsaKf6tofUQyunQBRoyw3opl9+8js1s3/KnqiX01PoVMnGeElk6/g7FjgdrdtfWwnnR+nKiQj6/vOi5/ECAjxHCZ1cqVhYiJYUUf+KFr+ijKH0xr2hSqc+dMn1yMZgjKlYO3icVwzLnzihEkBlV1trVvOvMA03deBdUZ61SzDJYMCofUpWTkL5eUM8nWwRCwJQLOdufZEktjvJlBaAwhB//c1Idl/fpMfPxxOp48UeWurGpVEZ4+VYJ68+UP1SRDisIoKUSTPrMWkdH13Xee+PBD3SGHsbFKdO+ejAsXFFzPbtJDLqe+gAJs2+aD9u01xVn27QPWrtWnlRpTe0ShUVgiN0CmECA5wwVuEiW8pJpiL/efu+Oj3xoUYlChAkAFXqxFGaNHQ/7rrxy42SJ3XC/bBZlib5RJu42wpNMQhYXBMyqqyEOiJk48iR9/jIRS2RQAGXu6w3rJy9upkwv27y/ChEdrbY6D8VHdu4fsuXMho/NCOY0lnSpWhI+hojk61m/qnVeSIHTGtf99PQ4fbLqIbIUKjSqWws/DGsHX3XCBrpK052wtDAFnRsAZ77yi2m9mEBYV8laSa8rDsnp1JkaNSi0kmQw0+mnaVIwTJxS5eXVVqojw5ZcemD49DTExeQakpaqTkTdzpgc++0y/F4pChqjyKRWYkcnUoBDFfv3c4OaW5+4jY/XPP4EtWwp7Cke2j8ar9Z8iJVOMbadCcOh6aWRzxVKAWsHJXKEZMg4/3UytLbSpUiUyWC1dpWa+OikJKWXLGn259zh4EGJqgliEFBeXgYiIXXj61AcqFVUY1U9UaZRCfxlZDwFlZCTXBgOpqZqEW2sQudRNrOJpDbG8eAgEEA8YAI9Nm3gNzxlkyp1nEuNiMNhZ137mbgLeXnsWqVkKVCvjibUjm6Ccj7QY7BhTkSHAELAEAWe98yzBzNy5zCA0FzkHmcf3YcnMVKNs2RdISclpv6C9ADIIGzcWY+dOH8TEKOHtLUSdOiLOazV0aDLWr7eut2LXLh+8/rpxg4I8llRzglqVkZeyXDlN4/iKFfP0p+bwU6dq21zD2txFi+rP8fnvdfE8xQ0qdZ4hKRSouYqjjUMTcCbaXwsIwqFnT8Ba/cAVJ08ivUULw6dFJILbN9/A9aOPivxUPXiQhjFjjmP//nIAyhbKIyRvbY8eLtw5EQqNV3kt8gUVIwVSIyKgunJF203PU38qBRRHnnAAlNkZOGkSxK+9xhmWGVQ+10HJ4/hxk3s98r3zHHTJFqnlzGuPikvBsF/O4GlKNoJ83LDu7SaoUtp4WyOLAGeTGQIMgSJFwJnvPHsDzwxCeyNuZXl8H5bff8/CgAH6i7XkqHXzph+qVdNuJv/bb1l4803jc3N4kFFFhoOuSqH0WZkyQjx44A+x2LBBQU3lqYH8/fsaDyY1mM/5k4y2IUM0cjZuBHbv1u4tXsYnE3VDknHwehktYzBHRwE0RmHBwinkvVy82HpN65XnzyOtUSPDuy4Uwu2HH+A6YYKVT4f57G7fTsHMmWnYu1eE1FTNPpUqJcD48VLOsyuRMGPQfHQLz+R1TnQIpDN8GcBpAPmbNzSsXBktu3SBq0gE+dKl1lTVarxcZ82C28yZJvPje+eZzLgYTHDmtdP2PErMwNBfziDmeTp83SVYPawxGlYsVQx2jqnIEGAImIOAs9955mBm7hxmEJqLnIPM4/uwLFiQgSlT0ow2cz940Dc3R4+WeOiQDF27Jhko3lIYiJUrPTFvXibnacxvFJKxRT9//+2LNm2M54DQu+LNm9qGXn5pVFSmUydwRVnidbRSpAqe6nyeQWNbRrlx5KSLiDA2kv/narkcqeXLG20JQDmEourV+TO208jsbDWoNQlRzZpiuLoyQ9AW0MtWr0bmqFEmsz4FgH5yiIKwewIoA4CCvGm3HG3HRC1awPXTTyHp1s3k9dIEvneeWcwdfJIzrz1naxLSZRi55iwuPUyCm0SIZUMi0KEGnXhGDAGGQElDgN159ttRZhDaD2ubSOL7sGzcmIUhQ4x7+ebO9cDJk3KkpqpBOYQbNmSB+kaTd84YuboCCxd64d13pUhMVGHu3AysXJmJxEQ1Zwj26+eKTz7xQN262h5IXXzv3AE+/dSwxNKlNd68kSOBjAxj2hn/nPSncNSrVzU5iVRcpnt3oDa15LOAsufPR9aUKbo5iERcaJ/Hnj0WSGBTizsCGePHQ/7jj/yW4ecHJCQgDcBqylN9OYtKAL0JgEr96C4HxI+9TUYFBUH67beQ9OsHgZubRSL43nkWCXHQyc689vxbkiFT4L3fLuDwzecQCQWY+0Y99G1Y3kF3janFEGAImIsAu/PMRc70ecwgNB0zh5rB92FJS1NxOYT6qoVSKKZEosnDKxieaWjBXl7A8OFS1KolxsCBrvD11X4VpXYGaWlqSKUCk8IMt20D6MeYIbpokcYojI623baQ427GDE3LC3OIWghkfvCBJnSPLGMqGELuSKUSopYt4bFvHwQ+uvsymiOPzSleCND5SK1YEepHjwwrLpFAumcPxB07Iuu993Bi1SqcyGcQVgPgaNmCgnr14L54McRt21ptU/jeeVYT6ECMnHntBbdBrlRh2rYr2HHxMffRx6/VwJg2oUVerdmBjgtThSFQ7BFgd579tpAZhPbD2iaSTHlYlizJwAcfkF9Bm3LaS5jb2zozM5Cr/knhhX/8kY1r1xRwdxdwRWMozDA+XoXTp+Vc9dImTSQIDDTuv9i8GfjjD+P1NebP1xiDy5bZBN5cplTMZt48841CYqS8cAEUGqiKiYHA3x+SIUMg7tIFAgKekUMjIJersGfPfVy+nACpVIwePSqgdm3r5C4pTp9GerNm/NYvFkMybBikixdj34gRuLhtG1QvvzUhY7Cqg4SIijp14nQU1azJb10mjDLlzjOBbbEY6sxr17VB9IXj3P1RWHE0hvt4ZMvK+KxbTVbwqlicZqYkQ8A4AuzOM46RtUYwg9BaSBYRH1MflmXLMvDZZ+lcGGcOlSkjwNOnuquP8llWdnYgDh+WYfDgFMTHqzlPI72jUv5gpUpCrudhTuV7cpANGeKKxYu9uEqm+oj6cRtr/SCVAqtWaTya334LUIFGW9Kbb2oqkDJyLgQOH36CAQMO4tmzLM7LrTnbanTrFoLffmsPHx8zXccvYZT/9ZdplUCFQojatsW51q1xdM4cqF8m6g4AQLVhi5wEAngrFDb7osPUO6/I8bCiAs68dkMw/nwsBl/tu8EN6Vk/CN/3qw8XMfuizYpHj7FiCBQJAuzOsx/szCC0H9Y2kWTOw0KevAMHZHjxQoVKlUTYuzcbixZlmtz6jAyxZs3EnHHXvHkiN5+8gMaIoiUjIsQ4dqyU3iIl9I47bhyQlKQ7bJRkU02Kt97SSKPG9Rs2APv389PBmI66Pvf3B376yZyZbE5xReDq1QQ0afIHZDIVyBuRn0QiAVq3LouDB7uaHKZGDejlO3ZAnZwMeHgge9o0kyGSf/ghlpKL/CUNAlDaQTyE3jIZBPTNkA3InDvPBmoUCUtnXrsxwHdefISPtl6BQqVG66oB+OnNhvB0NZ6vbowv+5whwBAoOgTYnWc/7JlBaD+sbSLJGg/LxImpWLYskzOqTCXqR7d2bSb27JHpbDNhiN/q1V4YOVJ/c2EqLDN7tqavdv5cQgpxrVJFk9dXsD5FWhqwejXw33+mroTfeGpxQV5ORs6BwJAhh/D77zFQKPR/03H4cDe0bcvPN6eWyZA5dizkv/6q6ZlC347Qg0d/0iHn841KPuj/B+Day//vQpVgbbktIhGEDRtCdfasfj0FAghr1IBXZKTNNLHGnWcz5WzM2JnXzgfawzefccVmMmRK1Cvvg1+GN0aAp/F+t3x4szEMAYaA/RFgd579MGcGof2wtokkazwspvYZzKmL8uWXHvjwQ3d4ej43Wvyl4OLJw9e0qRgnTlAbbf0UFwf8+Sdw7Bi4aqdlygCdOwOvvKI/n48K44werakUak2id/bffgNiYwEyPAMDASr4yKhkIqBUqiCV/gq5XL8xSL00R42qjp9+asULhIwRIyBft05/tSQTE3mp+O9xAJcA1AHQ3lYeQoEAnrdvc8WPqI0K9y2NHuPVbflyuI4ZwwsPcwZZ484zR64jzHHmtfPFn9pRUFsKak9Ryd8d699uihA/d77T2TiGAEPAgRBgd579NoMZhPbD2iaSrPGwUAhp+fIvuPw/Pg6KwYNdOUMwIkLChZ0GBr4wa23BwUI8ehRg1lxjk6hRPYWQWpOCgjRGZkJCHtcGDYBhw4DgYGtKYrwcAYH0dDk8PdcaVIXCRvv3D8XGjWSKGSZldDTSyLWtj8hjSGV7U4y3hynIgr77eACgikAAgVpt3d6DYjHEvXvD4/ffObHybduQMXAut/BDAAAgAElEQVSgxsNJceJELw1Zcf/+cN+4EQL69sRGZI07z0aq2ZytM6/dFHCjn6dh6OozeJyUiUAvV6wZ0Ri1g1glZ1MwZGMZAo6AALvz7LcLzCC0H9Y2kWSth+XYMRk6dkziFTZ65kwpNG6syQ+i4hr+/i+QnMwjebAAAlQU5p9/fNGqlWVFOXQBS4bthx8Cxir5W7op9B5M/Qu//poZhZZiaa/5UVFJWLYsEocOxXI2TefO5TF2bE2EhXlrqaBWq1GmzG94/ly/q5kMwk8/bYDZsxsaVT/r22+R/dlnRkvnepw6Bfn69ZBR6Vw+39Dkl0wHkubQwoz1bMlnyHHjdckiw04qheeZM1oVQxXnzoH6ayqoFLBMBmHdunD94AOuAqqtq+Za684zumEOOMCZ127qdjxNycKwX84gKi4VXq5irBzaCM3D/E1lw8YzBBgCRYgAu/PsBz4zCO2HtU0kWfNhmTkzDbNnG+/wHh3tj9DQPA/ARx+lYcGCDJNzCAkQet8ko7BDB91GITWcp+qhFAZKkWqhoZp3XWNE4aXDh5v+Pm2Mr67P6R28fn3gk0/Mmc3m2BOBdetuY8SIo5xDKycvkIw6+v8tWzqid+9KWup8/vl5fP31Je6LD11EZzEmZgAqVfIyuoysjz9G9g8/aHIGDZBnZCSEwcFIa9yYa1FiarUnt/XruRxF5cGDRnUStWvH8RdUrw6Bqyvk5FbP56EURkTAffVqiMgV7iBkzTvPQZbEWw1nXjtvkPINTM6UY/S6czhzNwEuIiFGtKyEka0qo4y3mzns2ByGAEPAzgiwO89+gDOD0H5Y20SSNR+WuDglQkLi9b5/0ktzeLgY585pJ84lJqrQtGkiYmKUZhuFVJymR4+85H9yblCE2p492u/PlENIPa4rVQLq1dOfR/j8uaZKqT1pxQqglImt6SgV6wHF+gGoUMGyPof2XGtxlHX5cjwiInYVqhZKayHDjvIBo6L6ITQ0z1OYkiJD8+a7cfNmspZRmONQmzOnEech5EPZixYha+JEw0MlEni/eAGBtzdUz54hc/RoKOgh4OspFArhHR8PKl6TSg+LIRKJ4DpjBtxmzswdpc7IgOLQIahTUyGqUcOhDMEcJa155/HZN0ca48xrN3cfsuRKTNx8Cfuvx3EsyDDsHR6Md9qGIizQ01y2bB5DgCFgBwTYnWcHkF+KYAah/bC2iSRrPyzk7Zs/P6PQ+2eOV27/fh907ly4ahvlEk6fnobVq7PMNgqPHy+FZs0knOzvvweomKEhopDTfv007ScKeg0p12/ECKPReVbdk6++AqpV48eSnERk8P7zj6ZYDhGtp0sXoH//4lvJlBq479p1D//995RrxdChQzl07RoCkajoe4KNGnUUa9fe1lsxlDyFkybVwSefNOVyRanNCIUDJyZmY/r0c1iz5hYyM5XcXlWt6o3PPgvH0KHUCt4wqR48QOa0aVBs3Wr4QFLT+SFD4L5mjRZD1f37oOb16sREZL37rn5hIhHE3brB448/YDRfkbhIJHAZPx7SfK0rjK3FET639p3nCGviq4Mzr50vRrrGUfj3wahnWH4kGmfvJXJD6N+MV2qWwbvtwhBRwcRv8ixRhs1lCDAEeCPA7jzeUFk8kBmEFkNYtAys/bBQaNz06emcUUi9AMkrSH/6+QmwapUX+vQxHGrTtm0Cjh59WWjCBGhITteuLli50hfffANQdVG+NGgQ0Lt34dGLFwPHqQSjnWjhQoAKzxgj8n5++y1w+XJhxw+9pFD46ccfa7B3FFI9egTZzz9DeeYMZyWJX30VLkOGQOCZ9w37xYsv0L37P3jyJAMSCSmv5ip0hoZ64c8/u6B6dd8iXU7Fipvw4EG6QR0CA/3Qrl0fbgwZgxRRSQY61XpJS5MjJiYFUqkYVap4cwYv7eXp08CBA8CTJ1xLQbRuDXTqBBA0ZAxS6KeaKhHlFGDRpYFIBEFgIDzPnoWQYqP1UOaECZAtWVL44NBhcXGB58mTnFePPH0pZNEaKrUrEMDtp59sWhHUFhtu7TvPFjraiqczr91amJ6/n4CfDsfgfzee5rJsUtkPY9uGoV31QJN7ilpLL8aHIcAQKIwAu/PsdyqYQWg/rG0iyVYPy/Pn5OnJBoWDhoWJuHBOFxfjyXvt2iXiyBEzGhq+/MZ2+PBApKcLeEfIEajUBmPlSs0LeA6RB27XLoCcMrYmMuIo3PO77/jlN548CSxYYFiryZOBZs1srTk//rKNG5FJpVTJdUvfDrx0xwoCAuBx4ABE9esjNjYDtWtvQ0qKvFC+HYViBgS44caNvvD1LbqeYBUqbMLDh4YNQh+fUujc+Y1cYMjOosjLOXO0zxcNIPuOnGvnz+cW2eTmETy+vsAXXwBekwdrPINGjEHJgAFw+/ZbCENCDG6KWqlE9syZXEGX/MaesGpVSNesgbhFi9z51O9QtmqVfq+kVArvuDguPLU4ka3uvIIYLFu2DPPmzUNsbCxq166NhQsXojVZ+3royJEjmDx5Mq5fv46goCBMnToV7+rx6G7evBmDBg3C66+/jl10UfEke62dpzrFetidZ6lYcSQGuy49hvxljnD1Ml4Y0zYUPeoHQeIAUQ3FGmCmPEPACgiwO88KIPJkwQxCnkA56jBHe1i++CINs2YZL0yjD8/XXw+Ai4vprrF33tF4ZZKSAGoef+QI/7Qra+wtFZQJD+fHacYM4OZN/WPJCKlTB6CClEVNijNnkN68ue6KleTV8vODV0wMZn5302jxlQULmmHCBOqWVzQ0dOhhbNoUrTdklDx+VarUQoMGzbUUpP147TVNe5H8RHbetm26zxnNCSqjxOfL3CAwZAwCcPvxR7iamPCqTk6GfP9+rgAMNYIXtWpVyLNBOYhpTZtCTaV28+vwshKpdO1auLz1VtFshgVS7XHnbdmyBW+99RbIKGzZsiVWrFiBn3/+GZGRkahA3/4UoLt376JOnToYPXo0xowZg//++w/vvfceNm3ahDfeyPuCgabdv3+f4xkaGgo/Pz9mEFpwFqwxNTY5E78cv4uNpx8gXaYJCQ/2leLtVpUxsEkI3F3E1hDDeDAEGAJmIGCP+94MtUrkFGYQFvNtdbSHJSlJCX//eF4V7wtC7+oqQI8eASaH7FClUnrnatQImDULoMqk9iJ3d4CM0XyOGYOinz0Dxo83bqyWLg38+KO9VqFfTvrAgVBs367fw0Vhh8uWoe4Pfrh923D/vObNS+PEiZ5Ftqhz556jSZM/9HqfySDs0uUNeHkVDm11cwN++SUvt5PsK9r3tDTDy/nwcHvUeH5Y/yCJBK7TpsHtyy9tggsZhdkzZkC2bl2uR1HUtClcZ82C5NVXbSLT1kztcec1bdoUERER+Omnn3KXU7NmTfTq1QvfUEx7AZo2bRp2796NGzdu5H5C3sHLly/jJIUEvCSlUom2bdtixIgROHbsGJKSkphBaOsDw5N/coYcG07fx6//3cOLtGxulq+7BEObV8Kw5hXh71l00Q08l8CGMQRKHAL2uO9LHGhmLogZhGYC5yjTHPFhmTAhFYsXv6yUwhMoMupq13ZH9ermVH1TY/QoFXbsFCE+nqdAKwzr2BEYOZKrzcGbKM/wxAnjw8PCwOVSWosopPPSpXiukmazZqXh5cWv92OyJnlOvxoCAVfIpOr5gYiNNbzntWv74tq1vmYticth3LAB6thYCMqW5fIXhTo8NcaY//RTJMaNOwEqIJPTdkIo1OQCNmnSFhUr6m8cv3w55dJqJFBl2ClTDEsTCtXofmUmetwwYOwJhXCbOxeuxpgZW5iRz9VpaVA9fgyBlxeEfBJdLZRny+m2vvNkMhnc3d2xdetW9M6XnDxhwgRcunQJFBpakNq0aYPw8HAsWrQo96OdO3eif//+yMignFrNJTFz5kxcuXIF9Nnw4cONGoTZ2dmgnxyitYeEhCA5ORnexSzU15Znwpq8qSrp9guPsPJoDO7Ha75ddJMI0b9RCEa3DkWIn7s1xTFeDAGGgAEEbH3fM/DzEGAGYTE/DY74sFAhkaFDU7B5czZXGIVetsngo/QzXUSfVa8uQrdupXD/vtCk/EHiJ1JkYPD+CrhXuhuu1PgEyd41bL6rVA2UjEE+PRFzlElPB95+m1+/cOJtDQfOixdZeP/9/7Bt273c3D53dzHGjauJOXMavyz+oh+uZHKN5Xsh1bl/nTuj4b23ceuWfg8hGaJ9+1bGpk0dTNobqg5IzdyzqQoPgZ1zoFQquEyZwuXdmdoI/fz5F1iy5DoOHXrCeaNDQ8vD1bUWvLy026kUVJSKf5JHmOjhQ+DDDw0vhVTtGb8c3Q6O07/pAgG87t6FsGJFk3Bx5sG2vvOePHmC4OBgLuyzRT7X/9dff421a9fipo5472rVqnEG3qeffpq7NSdOnOBCQ4lfuXLlOH4DBgzgjMqAgABeBuGsWbPwBSWjFiBmENr+CVCq1Nh/LY6rTHr1cTInUCQUoFvdclyeYe0gH9srwSQwBJwcAVvf904Or9bymUFYzE+Doz4s9CJ/+rQCa9Zk4vFjFcqWFWLoUDfEx6vw5ZcZuHBBU4mUqjK+/bYUX3zhgatXhaACiqZS04sTUOfOYqgEYiiFrvi9azSy3Iz0YDNBCFWbpH6BROS569oVaNnSNGOQ5lIqFxWLMUZkdFCkGrWhMJcI/+PHMzFo0CnExiZDpdJ2nZJt1adPJWzd2tFgiG5ay5ZQUhlNA9b8g75jUW9LfaOqvvtuDcye3RCBgfwXlv3dd8iaNk0vb9cvv4SbhcmW0dEA5YAaIjoD1PuS9r1NG02/SKoXkq+Hu87pM7qdRoURL3MSC/YSFAggGTUK7lQRiRFvBGx95+UYhGTQNaf82Zc0Z84crF+/HlFRUYV0JYOQwkA/yXeQyABs1aoVV5TGw8MD9erV43ISX6OEVICXQcg8hLyPhc0G0l16MjoePx2JxrHbL3LltK4awFUmbR7mb3Kag82UZYwZAiUMAVvf9yUMLouWwwxCi+Ar+snF9WF58kSJjAw1goNFkEo11UvJ5shpx8AHWbesp2h0bTqq312dOzzFvRK2do0GBKYXptEnkyIT583TfGqKR7Agv8REYMwY4yujKDVqpWEu/fefDGPHpuLq1fwuWQrnpPymR1psDx3qinbt9PfKkG3ZgsyBA/WrIhJhRPhK7L6oLlRdVN8kX18JypZ1R3CwB2rU8EHHjsHo0aMCxGLtPVNnZiKlXDkgWfPtvE7y9NRUyqRvFiwgCs+lNiDkzTZG1M2BclX/+w/YvFn3aPIOUsFQqjwr/30LMinhkKxHCh2kg65WQzJ6NKQ//giBKTHHxpRzgs9tfefZImSUKo9SSKmIwiFekurlYRMKhZzXMYy+bTJCtl67MfnO/vm1x8lYcTQG+648gUqtQaNeeR+82zYMXWqX5TyIjBgCDAHrIcDuPOthaYwTMwiNIeTgn5e0h4XaRWzaBOzbp7vwikt2PFpfGAP6s+yL4xCqtXseXqk2BefqfQu1IO/Fy9ItdHNVYd3KbMtcdi+VmDkTIAdDQWdRfh3J89TBtMjK3OmnTsnRtm0iV1RS27ihtxd6WblEGXDceArjHDQoDOvWtdMLEX07njlmDOTUviAnXFMzmTNshCt+hvc7PKwoI5tQoYIH9u3rgjp18sI25X/9hQxyxxoh9127IHn9dWPDDH5O7foo/SunhQQN1mccEgxkp9KXBOTRppoh+aGhuQEBGqORigMRUV9A+fbtUN25A4GPDyR9+5qVA2nRIkvIZHvceVRUpmHDhpxHL4dq1arFtYnQV1Rmz549XBXSHBo7diwXHkpFZbKysnDnzh2tHfjss8+QmprK5R2Sh9GF3M5GyB5rN6YD+xx4EJ+Bn4/HYMvZh8hWaO6/ygEeXI5hn4hguEms9+8Pw5sh4MwIsDvPfrvPDEL7YW0TSSX1YaH2ERs2AKdO5YVrVqsG9Kh4GEnvtNeL5dm63+Bq1clQi4y/XPHdEHdXBdaMPQNQEYfQ0LxEMr4M8o2jIoRkKBgyCMnWWrxYY1SYSi1aJHChurqNGTIKyYD+h/yxHOs2bcriyJHuBsWQUSjfsgWyRYugJItJLOYKybhOnoy0mhEoVWq9qWoWGk9FXkqVckVUVF/4+7txn8u3bkUGdYU3QtING7giM9YgKhZDZ27vXsM93UkWRarWrQtcvJjXmJ56YVKrOgorzck3tIZejEceAva483LaTixfvpwLG125ciVWrVrF9RisWLEiFxr6+PFjrKPqrQBy2k5QywlqPUFGIFUZ1dV2ImclfIrKFNx3e6ydnTX+CMSnZWPtiXtYe/I+kjM1/XcDPF0xomUlvNmsInykJlQc4y+WjWQIOA0C7M6z31Yzg9B+WGtJunfvHr788kscPHgQcXFxXCPjN998E9OnT+f1TXEOs5L+sJDHkEItKYfLxwdIOn0apw10bL8ROgYnIpZZMWRUjYoB6Zj35hUN5BTyVa+eRd7C2bOBa9f0HzyuGElPYPBg0w7nnTsKVK2awGPSOQBPuEqbfftWwubNHXnM0T2EjMXKlbfg/n0j/Rd4SKB1f/11Y0ybpslHVF69ijTC2gh5njsHUcOGOkepVSqTi848fappDWKI6Bj06GH6HhlbC/vcOAL2uvPIO/jdd99xOYDUY3DBggWgaqJEZMzRHX74cF5LEao+OmnSpNzG9NSKQl9j+hwerO2E8f0uDiPSsxWct/DnYzF4kpzFqezpKsbgphUwsmVllPXRfMnFiCHAEDANAXvd96ZpVTJHM4OwiPZ1//79oG+hBw0ahCpVquDatWvcN8vUDPn777/nrZWzPSwqhQJHypeHjN7adVC2xAcbXk+wokEIVC2bgjkDNRYcefbixWWgqBjGefDIm6eP7t/XeI7u3tUYtE2aAG3bAhMnaoxcQ0SOSMqnfP48E2vW3Mb164nw8BBzhWA6dAjSWcTgyBEZ2rVLMnJ2KLyJcgmjuXEUptm1awjv86Zr4C8f/4HEuQvRGVchggonUQUr0QFnoL+Fgz6B4eH+uHChd+7HaU2aQHnhgu6iNiIRhHXqwPPiRS08VLGxyJ4/H/JffoE6MRECf3+4jBoFl8mTIcyJ4TSw4rg44IMPDEPCDEKLjoxFk53tzssPljOv3aJDY6fJcqUKey4/wYojMbj5NJWTKhEJ0KtBMFeZtEppLztpwsQwBEoGAuzOs98+MoPQflgblTRv3jyuEXJMTIzRsTkDnPFhub9kCaL0vbELhfjlDTnUsF5RmTohSZjRJxKHI0tj19lgxCZpqmTmVJ6sX1/TmD5/e7cdOzQFRwrmlvn6amybVM27gl6qXBmoUeMWxow5DqVSBeqVR0S98xo3DsS+fZ0LVeuMilKgZk0+HsILEIkeo1Wrsvj339cgEpmPlXzHDmQMGMDpKFJrcmnkEEICFWaiDxZBU1GRL4WFeeHOnQG5w8lLeK15D2zLqIsXag8EIwEDcAqlxZncBngeOwZReHjueFVMDNJatID6xQttI1Ik4voXep44YTR3j/aH8jgN1bIhgR9/DERE8F0ZG2ctBJzxznPm+95a58aefChy4tDNZ1h+JAZn7ubdyS2r+GNA4wroXKsMyzO054YwWcUWAWe+7+29acwgtDfiBuRRkQHyHJ47RyF9uomVIScvnRq3p0/H3W++gUAkAlcuRSCAWqFA6V69sMhnBzIyrFPtTShQo2v4E0hEauw8W558hC+LsxTen1atNIYE5ZTNn697/8hAJK9i4aIveeNpjFL5CNu27dfJhIrBNGoUgBMnehbyFEZEJODyZX05hJxJCYHgHwwaVBErVrSCp6f5OS6qhw+RGhYGtVwBAYdLYXoVU3EKVXk/ZS1blsbx4z258WRkTpx4CkuXRkJIJr5aCSWEnKzpdWIwY8swiGvV0uKd1qYNlFTlhQAuSGIxRO3bw/MfyqE0TDt3agx6XbmetD9UaZQKytDvjOyLgDO/IDjz2u17yqwn7cKDRCw/HI0DN57m3ie+7hL0Dg/GwMYVUL0s8xpaD23GqaQhwO48++0oMwjth7VBSdHR0YiIiMD8+fMxatQovWNZo+I8aDKio/F4zRpk3rsHl4AAlBs8GD6NG+Pnn4H//Y9PCwH9xl2eFDWm9ojCd3tqGj0p1JKCPIUUzUq97QwVjjHG7PDhvXj+nMJidRtaNP/IkW5o06acFqtDh2R45ZUkrqiMLvmDBmVi3rwAruWDpZQ1Ywayvv4aAj3lOJfgFcxGH8hhIK62gBIzZ4Zj1ixNPuAnn5zF3LmX9eK4dGkLvPdenkGojIxEWu3aRpfleecOREZK/JOXcMEC4MwZbS8vGYDU4YKqxVI7Ekb2R8CZXxCcee32P2nWlfgoMQO/n3uEreceIvZlniFJaBDii4GNQ9C9fhCXd8iIIcAQyEOA3Xn2Ow3MILQy1voMtvxizp49i0aNGuX+FTVCbtu2LffzM1kzBoh5CI1vGOWAffQRQAVpCtoqZLSVLQtQrz+qKE/eRvIuFiTyQqkhwIh2MYhNlOKfK2WgUlvHHUT5Z5QjePu2trFBapARJ5fLsGuXpnqhPiIv4fvv18aCBc0KDfn772y8804qHjzIawfh4yPAV195YNw4qdWaKKe1bg3l8eM6VfwFbTEZbxrfrAIjIiPfQM2apZCYmI1y5X5Ddrb+lhbe3hI8fjw418sp++03ZL5pXKb7tm2QvPGGUd3o7Jw+Dfz9N/DkiaaOEHmBX3kFoNBfRkWDgDO/IDjz2ovmtFlfqlKlxtHbz7HlzEP878ZTKF42NHR3EaFHvSAMaBKC8BBfq93T1l8B48gQsB8C7M6zH9bMILQy1i9evAD9GKJKlSrBzU1TdYyMwfbt24P6Xq1ZswbUpNgUYg+LbrRu3dKEbVLxFjLAyNCiF/zq1YEpUzQVSzduVGDNGjWoUTpRfuOwdvkkvN7oCRpUSsLs7bVw7SE/C6BgzqAu7WgMFSvs3Bn46y+AWpeRMUitNijSMSsrA3v2bDR4DCQSAUaOrI7ly1vpHKdSqXHkiBz37inh7y9E584ucHOzThgtCaRcxujqrVE25r9C8mUQoQbmIQH8Q6E03tW8cNFNm6IxePAho4+Cj48L/vyzC1q0KAP5tm3I6NfP6Bz3PXsg6W641YZRJmxAkSHgzHeeM6+9yA6cDQU/T83GjguPuAqlMS/ScyVVK+PJ5Rr2CQ9GKQ/rtVCy4VIYa4aATRBgd55NYNXJlBmE9sO6kCTqY0XGIDVA3rBhA0RkuZhI7GHRDxiF/VE6JoVvUt4eFQCpkq/wJRmALVsm4sYNjZcwI0MJuZxCNNWY9XYCpgxKgtRVje/3VMfZGD+o1cYNKtpCsvXT8/5t16ngO+8AnTrlfUQGLPW10ximKuze/Rtksmy9iyMDasmSFhg3TjuHzsTjY9ZwMgb79ElGjT3f4mPM4yqL5qeDqIU+mGQSb6lUhHPneqFWrVLcvJUro7iCOsaIcHB3F+PKlT6o5KtAKnWMl8n0T5NK4R0XBwH1lGRULBFw5jvPmddeLA8rT6Xp36Kz9xKx+ewD/Hk1FllyzZ3qIhKiS52yXEhp81D/3OJiPNmyYQyBYo8Au/Pst4XMILQf1lqScsJEK1SowDU3zm8MlqWYRp7EHhaeQOkZFhenRMeOSYiMVOZWBM0p+vLRZBfM/ViO/864YPFaH96CqDH5sWO6h5MBQwbj8uXA48fAoUMAOZTJg3npUt6ca9fO48YN+ovCOYQaHiLExg4BecjsTT/9lIFx49JQWv0Ul9AELsiGprSPhnagEUZijElqubgIsHdvF7zySnkkJmbhlVf+wvnz8bx4UPgsGcYLFzZH5gcfQLZ0qe4EUoEALh99BOncubz4skGOiYAz33nOvHbHPI3W14oa3O++/ARbzj7AtccpuQJC/KQY0CgEfRuGsL6G1oedcXRQBNidZ7+NYQah/bDWkkThoSNGjNApnb4t5EvsYeGLlP5xMpkaO3ZkY/PmLCQmqlG9ugijR0vRuLEmlJTCOCknMTbWeKEaakWxYgWwerXGKMwfQkq/kwdx2jSAUu+op3XO5wVDTRUKOY4c+RMJCRR+nHceyJNJBuGmTe3Rv3+o5Ys3g0OtWvGIilJyRmx7HMYmDIUYCoih5LidQSg64xMzOANkGNJ+mEplykgRFzcEapkMGYMHQ7F9e14515cWvmTwYEjXroXAUPNIUwWz8XZHwJnvPGdeu90PmgMIvPY4mQsn3XXpMVKzNJWTqQNR++qlMaBxCNrXKA2JBW2DHGCJTAWGgEEE2J1nvwPCDEL7YW0TSexhsQmshZgmJADkWKIm87oopyDM+PEAeQgpX/HUKU1BEmpQ7+ICNGsGvPaaxlDcts243mQU3rp1DXfuRCI7O5ObUK5cCN54oz6WLOHvRTYuif8IpVINsfh5vgmpCMYRjMB2vIKrkECJ/1AX09EXBgI3+QvkOZLwnzixDt5/vxYqV/aC8vRpyNeuBTWpFwYHQzJ8OMSNG/PkxoY5MgLOfOc589od+UzaWrdMmRJ/XYvF5rMPtfoaBnq5om/D8ujfKASVAyyvHG3rdTD+DAFTEWB3nqmImT+eGYTmY+cQM9nDYr9tII9YVJTG0Lt2TRPymVPFlHIT+/cHGjQwrE92NjB6NBWO4a83eYyp8iiFFYtEYs6rSMVoPT3587DWSNLF1fU5V8EVoHAmio2lfJfCXj2RSAAyIO1FJM/FRYh9+7qgffsge4llcuyMgDPfec68djsfM4cVF/08Db+fe4jt5x/hRVre127NQv24voav1inLmt477O4xxUxFgN15piJm/nhmEJqPnUPMZA9L0W1DZiYQH09FTQA/P356kCE5eza/sYZG/fADUL685XzM4dCvXzJ27cqGQkEVRhP05jkKhfY1CGktZCx7ekrw6NEgeHlZll9561Yyfv31Fu7fT/dmQxAAACAASURBVENAgCuGDKmCJk0CWTl4cw6NFec4853nzGu34hEqEaxkChUORj3lvIZHbj3P7dfq7Sbmmt5TldJaQax4VonYbCdeBLvz7Lf5zCC0H9Y2kcQeFpvAajOmVDjm668tZ79qlaZ1RlHQmTNyNG/+CCrVv0Uh3qhMCh9dtqwl3n23ptGxugaQF3TatDOYN+8qqGANeYaJJ1VX7dWrIpe/6ebGGkibBa4VJjnznefMa7fC0SmxLJ4kZWLruUec5/Bxkia9gKheeR8u17Bn/SB4uWly4hkxBIoTAuzOs99uMYPQfljbRBJ7WGwCq82YUi7i2LGaqqLmEHnAatcGZswwZ7b15syYcRdffeWYBiGFjg4aFIb169uZteAFC65i8uTTOucS/kOHVsWvv7Y1yFudkQHVw4cQuLtDUL488yqatRO6JznznefMa7fiESqxrKjp/X93XnCFaP6JjIP8Zci+VCJCt3rlOOOwUcVS7D4qsSeg5C2M3Xn221NmENoPa5tIYg+LTWC1KdP584GzZ41XLC2oBHmpyCD54gugWjWbqmiU+blzz9G48R9GxxXFADIIKbxz7VrDRlt+3VJTZVi16iZWrYrCzZvJBg12CoV98GAggoMLF3FQJyYi6/PPIfvlFyAjgxMhrF8fbjNnQtK7d1HAUeJkOvOd58xrL3EH2cYLik/Lxs6Lj7mQ0jvP0nKlhQZ6cEVo+kQEo7SXm421YOwZApYhwO48y/AzZTYzCE1BywHHsofFATfFiEpJSRoP39On/HTPqWDq7w+MGwfUqcNvni1HqVRqhIVtwb17eS8atpRXsC2HMVnr1rXFW29VNTaM+/zZs0y0abMXlDPI13O7cmUrjB5dQ4u/OikJaS1aQHXrFqDUtODQWIRCzvp3W7oUru+9x0snNkg/As585znz2tkzYR4CFAJ/4UEiNp95iL1XYpEp19xNIqEAHWqU5nobtqseCDFrX2EewGyWTRFgd55N4dVizgxC+2FtE0nsYbEJrDZnmpYGLFkCXLyoXxTZEeQJbNECCArSGIL0d45CmzZFY/DgQxaoQ3GzAoPzvb0lOHDgVTRtuoeXHPIOBgS44d69Abzz/F5//R/8+edDLkeQD9EeLFzYHOPH19YanvXxx8j+/nttYzD/CLEYXo8eQVimDB8xbIweBJz5znPmtbMHwnIE0rIV2EtN7889xMUHSbkMS3u54g3WvsJygBkHqyPA7jyrQ6qXITMI7Ye1TSSxh8UmsNqFKRWXoSIzhsjDA/j1V7uoY5aQlSujMHHiSWRm5vOI8eaUY4DpNgrJ8Bo3rhYaNgzE8OFHeHH18pLg6NHuaNDA3+j49HQ5Fi68hs8+O290bMEBhw93Q9u25XL/Wq1QICUwECD3rz4SCuH2zTdwnTrVZHlsQh4CznznOfPa2TNgXQRuPU3F72cfYsfFx0hIz2tf0bSyH5dr+FqdcpC6iKwrlHFjCJiIALvzTATMguHMILQAPEeYyh4WR9gF83SYNQuIjDQ8lxrab9hgHn97zZo06SQWLrxupjjDXsIxY2ogI0OO9eujefGn8NrVq9tgxAjDSZZxcRlo23YfFyZqCpEHMizMG1FRfbUKM6ieP0dq6dKGWYnFkAwbBndqIsnIbASc+c5z5rWbfWDYRIMIUPuKf2885byGR289h+rl93RermL0bBDEGYd1g31YIRp2jooEAXbn2Q92ZhDaD2ubSGIPi01gtQvT9euBffv0F5fJCRm1Rt9CWy6oRo2tXCEW88mwp9BUvhKJAI8eDUbp0lK9U9u334fjx+N4h4kSI2pBIZWKQd7BiIgALd5UVTTFy8twpSCxGC7jx0NKTSQZmY2AM995zrx2sw8Mm8gbgdjkTGyj9hXnH+JhQl77ihplvTjDsFeDYJTysKy/K29l2ECGAAB259nvGDCD0H5Y20QSe1hsAqtdmMbFARMmGG5BMWkS0Ly5bdW5ezcVS5Zcx9atd5GRoUD9+n5cqGafPpV4fStcqdJmrnm7oxAZ0l9/3RjTptXXqdLVqwmoV2+HSeq6uAjxxhuVcpvTBwYWNjbTe/SA4q+/9OcQAvA4eRLiZs1Mks0GayPgzHeeM6+dPQf2Q4CKhp2Kiee8hn9diwN5EYlcREJ0rl2GMw5bhgWAKi4zYgjYEgF259kSXW3ezCC0H9Y2kcQeFpvAajem//wDUARh/iqaOVVF27cH3n1X0xTdVnTsWBxefXU/srOVUL7sWUVhkfT70KFVuH57xv7R79//X86YdBQiLHv2rIidO1/RqdLSpZEYP/4Er4qihP2rr5aHQqHCgQNPOH70d926heCbbxqjTh2/XBmK06eR3qqVxiAsWK5UJIKofXt4/PMPLyPbUbB0RD2c+c5z5rU74ll0Bp2SM+TYdekx19swMjYld8nBvlL0a1Qe/RqFgH5nxBCwBQLszrMFqrp5MoPQfljbRBJ7WGwCq12ZXrsG7N4NXLmiiTisXJkMDqB1a9sag+QNLF9+I5KT5aBvhHXR8uUtMWZMTYN4HDkSi3bt9tkVMz7CXnklGKtXt0ZIiKfW8B9/vI4PPjjJyyAMD/dHZGQiF1qaYzATMzKaXV1FOH68O8LD88JH5fv2IePNNzXFZSQSzYYqlRB37Qr3TZsg8PbmozobYwABZ77znHnt7KEoegSuPU7G7+ceYtfFx0jJUuR+QdaqSgDnNXylVhm4ilkhmqLfqZKjAbvz7LeXzCC0H9Y2kcQeFpvAWiRMyalEP/ZqLbF69U2MGnVM71rJE1a1qk+hAioFJ+zf/xCvvfZ3kWBmSCgZbWXLSnHhQm+tfMIrV+JRv/5Og/rS3A0b2mLmzAu4cyeFs+sKEo2JiPDHmTO9tD5SZ2ZCvm0bVNevA+7ukPTqBVG9eg6HT3FVyJnvPGdee3E9ryVR7yy5En9fj+O8hiei43OXWMpdgl7hwZxxWKMs+/KrJO69vdfE7jz7Ic4MQvthbRNJ7GGxCawln6lKhbeH/ot1Wx4YLaySlDQUPj76Cwk0b/4HTp167pCYkdH20Uf1uPDO/NSmzR6cPPlM59opRHb8+Fro168yWrXaa3RdV670Qd26eaGjRiewARYh4Mx3njOv3aJDwybbDIEH8RnYev4htp57hLiUrFw59cv7oH/jEPSsHwQvN4nN5DPGJRsBdufZb3+ZQWg/rG0iiT0sNoG1ZDNNTgZu3cI7X93Hr/uSoDDSQjA1dRg8PXX/g07tG8qV2+jQePn7u+LFi7e0dHzyJJ1rOxEdrcmJIc9sTu5khw5B2Lu3M7ZsicGIEUeNrm3Hjk7o3buS0XFsgHUQcOY7z5nXbp3Tw7jYCgGlSo2jt59zvQ3/d+Mp5C9z0t0kQnStWw79GoagdrA3vJlxaKstKJF82Z1nv21lBqH9sLaJJPaw2ATWkss0PV2TrKhWY+vBFPSf8UjvWslTRiGRZ89qh0Tmn7Bz51306fOvw+OlUIyESCTU0jM1VYa1a29zP8+eZSE01AvvvFOD8wyKxULs3HkPffr8z+ja/v23K8iIZGQfBJz5znPmtdvndDEp1kAgPi0bOy9qCtHcfqZdgdrTVYwgXzeU85EiyFeKIB837s9yvm5ccZqyPm4sD9Eam1BCeLA7z34byQxC+2FtE0nsYbEJrCWX6c2bQLwm50OuUCOs3208eaGAUkeOHI35/fcO6NcvVC8e77xzDKtW3XRovEqVckFCwlCTdUxPl6Ns2d+QlqYpnqCLAgLc8OTJYEgk2samycLYBN4IOPOd58xr531A2ECHQUCtVuPiwyTOa3gg8ini02W8dAvwdOWMxiCfPENRY0BqjMdAT1ej1a95CWKDHB4BdufZb4uYQWg/rG0iiT0sNoG1ZDKlyiinTmmtLfJuNjp8cA/PEqlVAvcfxCIBFEo1Pv88HF980dAgFr17H8CuXfcdFi8KA500qQ7mzWtqlo7ffHMJn356Tu/cpUtb4L33apnFm00yDwFnvvOcee3mnRY2y5EQyJQp8SQ5E7FJWXiSlMn9Tn/GJmfhMf2ZlIVMuZEcBgASkQBlvDXGYZ6HUYrgfJ5Hbzcxa/HjSJtvpi7szjMTODOmMYPQDNAcaQp7WBxpNxxcF4UCOHOmkJLJaUqs+ysZ24+kIC1DhQb1fDF2WjM0bJjXTkHfysaOPY5Vq6K41nuORmKxAH5+rrh0qQ/KlXM3Sz36hpsqjZJhSK05KOyUehKSR3D27IaYOrUee+kwC1nzJznznefMazf/xLCZxQUBum+TMuQvDcUsxCZncobik6QsxHJ/ZuJpajYoX9EYebiIXoaiagxFCketHeyDiJBS8HFnRW6M4econ7M7z347wQxC+2FtE0nsYbEJrCWTKVVOOXsWIMPQEIWEAPTDg06deobmzXfzGGn/Ia1alcHatW0RGmp5+fOnTzO4IjNxcZkoX94DAwaEwt/fzf6LYhLhzHeeM6+dHX2GACGgUKrwLDX7pbGYZyg+SdZ4HcnbmGAkNLVqaU80rFgKERVKIaJiKYQFerAv9hz0eLE7z34bwwxC+2FtE0nsYbEJrCWX6f37wOPHhtfXsCHg6soLA/pGd+DAg9i69S6vRu+8mFowqEIFD8yZ04hrFl+7dikLOLGpjoqAM995zrx2Rz2PTC/HQ4BCU8m7SJ7FnLDU+/EZuPggEffiMwop7Osu0RiHFXw5A7F+eV94uIodb2FOqBG78+y36cwgtB/WNpHEHhabwFpymZJ3kKqMZuX1i9JabIUKQPnyJq1fJlNi6tQzWLo00mhPQ5MYmzGY8gV/+KGZGTPZlOKCgDPfec689uJyPpmejo3Ai7RsXHyQhPP3E3HhfiIuP0pCtkK7qppIKEDNcl6ckZjjSSxfSsq8iEWwtezOsx/ozCC0H9Y2kcQeFpvAWrKZyuUAeQqfP9c04CNyc9MYgqVLc/9LFTZv3EjievPVqePHq4rmv/8+RqdOfxUpdnPnNsbUqfWLVAcm3LYIOPOd58xrt+2pYtydFQGZQoUbsSmcgXj+gcZIpLDTglTay1UrzLROsDdrj2GHQ8PuPDuA/FIEMwjth7VNJLGHxSawOgdT8haSp1AoBKRSQCBARoYCn312DitXRiE9XZNrGBjohsmT63IFVKg3oS6i0NGRI49izZrbRYrdkiXN8f77tYtUBybctgg4853nzGu37ali3BkCeQhQLuKFB4m5XsTrT1KgKFDIxkUkRN3yPlyYaY4XsbQ3yyu39jlid561EdXPjxmE9sPaJpLYw2ITWJ2SaXa2Eh07/omTJ59xFTXzk0AADB1aFb/+2kZn2AwZkXPmXCpy3M6f74WICOPVUYtcUaaA2Qg4853nzGs3+8CwiQwBCxGgnMSrj5M1XkQKNX2QqLNwTYifVCvMtEZZL4hFrEetJfCzO88S9EybywxC0/ByuNHsYXG4LSm2Cq1YcQNjx/5nsDjMkSPd0KZNOa01kndQKv0V2dl6utvbARFqMdGoUQBOnnzdDtKYiKJEwJnvPGdee1GeOSabIZAfAfo3j4rU5A8zvfk0tdC/ne4uIq5ADedBrOiLamW8EOQj1Rtpw1AujAC78+x3KphBaD+sbSKJPSw2gdUpmYaH78Dlywl6DUIyugYODMP69e208Dlw4BE6d95fZJhRxGtQkAeOHeuOSpW8ikwPJtg+CDjznefMa7fP6WJSGALmIZCSJcflh5piNfRz6UESUrMLt3hykwhRyd8DYYGeCA300PwEaH73cmP9EQuiz+48886jObOYQWgOag40hz0sDrQZxVwVH5+1SEmRG1xF06aBOHVK2wtHjenfeed4kaw+OFiKceNqY8yYGvDzY/kbRbIJdhbqzHeeM6/dzseMiWMIWISAUqXGnWdpuQYiVTO9H58OuVI7HSO/kEAvV4QGkJHoyfVGzDEWqcKps4aesjvPomNo0mRmEJoEl+MNZg+L4+1JcdWoYsXNePAgTa/65Il79dUQ7NvXRWvMsWNxaNNmr12XTdVPQ0I8EB09gIXf2BX5ohfmzHeeM6+96E8e04AhYBkCCqUKDxMzEfM8DTHP0xHzIg3R9OfzdFA7DH0kEQlQ0Z88iRpjkQxFzmAM8EQpDxfLlHLw2ezOs98GMYPQfljbRBJ7WGwCq1MynTHjHL755jKUBr7B/O23dhg8uIoWPlSAxs9vHZKTDXsXrQUqGYNeXhIcOtQNDRr4W4vt/9s7D+CqivaNPzQTAiQBFEjoIz2IVOltRIp/pHwIg0YQEJAiUkakCAGGFjoq0pWOIkORImUQCFI+QAcYikEx9AABaSFAQvvPu3jvl4QbuCf3npN7znl25g7l7tnd97flnmf33V2mYxICdh7z7Gy7SZoni0kC6SJw694DnL4m4vB/YlGEovxf6nsSk2eQOyDbU5GYSiwWyZMDL2U1/4E2HPPS1ZzS9RAFYbqw+c5D7Cy+UxdmL8nly3fx2murceNG4jOiUPYPli4dDDnF088vyzOmLl36Fzp0iNIdQe7cL6FbtzLo0ycMhQrl0D0/ZuB7BOw85tnZdt9riSwRCehPQCZcL968hxgXYtHVfYmOEmXJnAmFc2dPIRZDg/2RP9AfBQL9ERyQzeWJ4fpbpC0HjnnaeHkSm4LQE3o+8Cw7iw9UgoWKEB19E//5zzbnpfRimqwY1q9fAD/++Cby5cueprWvvbYKx47d0I1GtmyZcP9+F7qI6kbYHAnbecyzs+3maJ0sJQkYR+Bu0sN/XU9TriyevpqAhKRHzy2IrB7mD/RT4lDuT5Q/n/796f8p4RjkD/9sz04AG2chwDHPONoUhMax1iUndhZdsNo6UTlSOyrqEv7736uQlcFGjQq65ZpZtOj3OHcuQTd2Q4dWxNixVXVLnwmbg4Cdxzw7226O1slSkkDGE5Df8Cu3E5X76d//riyeuZaAy7cTceX2fZd3KKZV6kD/rEoYikB0rC7ml3/n8nP+/8s5/SArknoEjnl6UHWdJgWhcax1yYmdRResTFQjgevX7yNfvmXP3X/4oiRlb6C4x8jhNY+STW5mygTUrp0fW7c2Q/bsWV+UDL+3OAE7j3l2tt3izZrmkYBhBBIfPkLcv+JQhOPl2/eVUJTP5Vv//nn7Pu4/cO9uYRGDr+T0UyuOTuHoFJH/W4UUcZlJftA1BI55GmB5GJWC0EOAGf04O0tG1wDzFwJbtlxA06bpu4vQ3z8L+vUrjwEDyiMmJh6RkUewbt05JQ7lJNFPPimHTz8Ng78/xSBbm3EuRDNnzsSkSZNw6dIlhIWFYfr06ahbt26aVRAVFYUBAwbg+PHjCA0Nxeeff44ePXo448+bNw+LFy/GsWPH1P9VqVIF48aNwxtvvOF2tXK8dxsVI5IACXhAQFYZb99/iDgRif8Kxbj4RCUY5d+O/78an4jHad+kkaIE//daCL4Jr6ypVBzzNOHyKDIFoUf4Mv5hdpaMrwOWQJsgLFs2CP/8k4i8ef3RrVtpdOlSGkFBKY/OfvjwMR48eAwRi1pnFFkf1iZgxJi3YsUKdOjQASIKa9eujTlz5mD+/Pk4ceIEihQp8gzg06dPo3z58ujWrRs+/vhj7NmzB7169cL333+PNm3aqPjh4eEqrVq1asHf3x8TJ07E6tWrlYAsWLCgW5VmhO1uFYSRSIAESACAXKXxT0KSc2VRrTKq1can7qmOFUcRlx1qFMXoVuU1ceOYpwmXR5EpCD3C59nDLVq0wOHDhxEXF4fcuXOjUaNGmDBhgppddjews7hLivH0JCAuoyEhy5GU9HwXkzlz6qB79zJ6FoVpW5yAEWNe9erVUblyZcyaNctJs2zZsmjVqhXGjx//DOFBgwZh3bp1+OOPP5zfyergkSNHsG/fPpc18ujRIzXuz5gxAx07dnSr1oyw3a2CMBIJkAAJaCAgB+A8ePQEQdmzaXjKOI8QTYWyaGQKwgys2GnTpqFmzZoICQnBxYsX8dlnn6nS7N271+1S8QXBbVSMqDOB7t1/xXff/elyH6FsG6hfP0TdHchAAp4Q0HvMS0pKQkBAAFauXInWrVs7i9q3b181gSeuoalDvXr1UKlSJXz55ZfOr9asWYN27drh7t27yJbt2Zeg+Ph45MuXT+XTvHlzl0gSExMhH0cQ2wsXLoxbt24hMDDQE4x8lgRIgAR8noDe473PAzCwgBSEBsJ+UVYywywz0PIC4OoFwtXz7CwvosrvjSKQkPAATZpsxp49V9TVEI4DYh4/BsLCcmPHjrfxyitpX1thVDmZj7kJ6D3mxcbGKhdOcfsU905HkP1+ixYtwsmTJ58BWKpUKXTq1AlDhw51ficTe+IiKunJpF/q0Lt3b2zZskXtKRQXUldh5MiRGDVq1DNfURCauw2z9CRAAu4R0Hu8d68U9ohFQegj9Xz9+nX07NlTrRTu3r07zVJxxthHKozFcEkgKekRVq48jXnzonH27B2EhASgc+dSCA8vgYAAHgrDZuM5Ab1fEByCUASdeHA4wtixY7FkyRJER0e7FISdO3fGkCFDnN+JoKxTp446lKZAgQIpnpH9g5GRkdi5cycqVKjA8d7zZsEUSIAELEhA7/HegsjSbRIFYbrReedB2Xsie0jErahGjRrYsGED8ubNm2binDH2DnemQgIkYE4Cer8g6O0yOnnyZIwZMwbbtm1D1ara7tXU23ZztgiWmgRIwKoEOOYZV7MUhF5mnZZgS57NwYMHnS8C165dg6wOnj17VrkGBQUFKVGY1smKXCH0coUxORIgAVMRMOIFQQ6VkWsh5JRRRyhXrhxatmyZ5qEy69evV6eQOoJ4fMiew+SHysg1FiIGxVVUJgC1BiNs11omxicBEiABvQhwzNOL7LPpUhB6mbUIPPk8LxQrVszlnpELFy6oAwNSuyo9Ly12Fi9XIJMjARLwaQJGjHmOaydmz56t3Ebnzp0LuUdQrogoWrSocg0V9365V1CC49oJuXJCrp4QESinjCa/dkLcRIcPH47ly5ervYWOkDNnTsjHnWCE7e6Ug3FIgARIwAgCHPOMoPw0DwpC41i/MKfz58+rO6527NiBBg0avDC+RGBncQsTI5EACViEgFFjnqwOioiTPYByx6CcCi2niUqQA2TOnDmj9gA6gpw+2r9/f+fF9LIdIPnF9DIRKJ4gqcOIESMgniXuBKNsd6csjEMCJEACehPgmKc34f+lT0FoHOsUOR04cADykUMH5C6qmJgYREREqJcPmYX28/Nzq2TsLG5hYiQSIAGLELDzmGdn2y3SfGkGCZCABgIc8zTA8jAqBaGHANP7+NGjRyH3WsnFxQkJCepY8qZNm2LYsGHqyHN3AzuLu6QYjwRIwAoE7Dzm2dl2K7Rd2kACJKCNAMc8bbw8iU1B6Ak9H3iWncUHKoFFIAESMIyAncc8O9tuWANjRiRAAj5DgGOecVVBQWgca11yYmfRBSsTJQES8FECdh7z7Gy7jzZHFosESEBHAhzzdISbKmkKQuNY65LTrVu3EBwcDDmQJjAwUJc8mCgJkAAJ+AoBeUGQ05hv3ryprumxU+B4b6fapq0kQAJ2Hu+Nrn0KQqOJezk/x1UVXk6WyZEACZCATxOQSbBChQr5dBm9XTiO994myvRIgATMQMCO473R9UJBaDRxL+f3+PFjxMbGIleuXGleZu/lLJ+bnGM2xyorlrTHyNajPS/Wj3ZmRj6hR/08efIE8fHxCA0NRebMmY00J8PzSu94r0c9ZDgMDQWg/U9X1a3yu6yh6p1R2QbM2QbsPN6np5178gwFoSf0+OwzBKzm7017fLuRs35YP75NwDdKZ7V+opUq7b+t3KvF5diuW0vYBtgGtI4bdotPQWi3GtfZXqsNurRH5wbjYfKsHw8B6vy41epHZ1y6JW/3eqD9FANsA2wDug2wFkmYgtAiFekrZlht0KU9vtKyXJeD9cP68W0CvlE6q/UTrVRpP8UA2wDbgNZxw27xKQjtVuM625uYmIjx48djyJAh8PPz0zk3/ZOnPfoz9iQH1o8n9PR/1mr1oz8xfXKwez3Qfmv9Lqenl7ANsA2kp93Y6RkKQjvVNm0lARIgARIgARIgARIgARIggWQEKAjZHEiABEiABEiABEiABEiABEjApgQoCG1a8TSbBEiABEiABEiABEiABEiABCgI2QZIgARIgARIgARIgARIgARIwKYEKAhtWvE0mwRIgARIgARIgARIgARIgAQoCNkGdCFw5swZjB49Gtu3b8fly5cRGhqKDz74AF988QVeeuklXfLUO9GxY8di48aNOHz4sLLh5s2bemfp1fRnzpyJSZMm4dKlSwgLC8P06dNRt25dr+ZhVGK7du1Stvz+++/KnjVr1qBVq1ZGZe/1fORk3tWrVyM6OhrZs2dHrVq1MGHCBJQuXdrreRmR4KxZsyAfGQckSHuLiIhAs2bNjMieeaQiYKW+r6VyrdavtNjuKq7wGDp0KPr27avGfzuEixcvYtCgQdi0aRPu3buHUqVK4dtvv0WVKlUsb/7Dhw8xcuRILFu2TL2HhYSEoFOnThg2bBgyZ85seftpoDYCFITaeDG2mwQ2b96MFStW4L333kOJEiVw7NgxdOvWDR06dMDkyZPdTMW3oo0YMQLBwcG4cOGC+kExkyCUuhD28mJYu3ZtzJkzB/Pnz8eJEydQpEgR3wLtRmnkx33Pnj2oXLky2rRpY3pB2LRpU7Rv3x7VqlWD/IjLxMnRo0dV/eTIkcMNIr4VZf369ciSJYvq+xIWLVqkBPyhQ4eUOGQwjoDV+r4WclbrV1psTx334MGDaNeuHQIDA9GwYUNbCMIbN26gUqVKyt6ePXsiX758+Pvvv1GsWDG8+uqrnuA0xbMyiT1t2jQ1/sq4+9tvv6Fz584YM2aMmhRgIIHkBCgI2R4MIyAvhLJqEBMTY1ieemS0cOFC9OvXz1SCsHr16ko8CX9HKFu2rFpVk1ljM4dMmTKZXhCm5n/1AuyfrgAACqBJREFU6lX18hIVFYV69eqZuXqcZc+TJ48ShR999JEl7DGLEVbu+1rrwIr9yh0Gd+7cUeO/TAiKGKhYsaItBOHgwYPVxOGvv/7qDibLxWnevDny58+vJrAdQSZQAwICsGTJEsvZS4M8I0BB6Bk/Pq2BgLgpyMqhzFKZOZhNECYlJakfgJUrV6J169ZO9DJDKO6vIjrMHKwoCE+dOoWSJUuqVcLy5cubuXrw6NEj1fY+/PBDtUJYrlw5U9tjpsJbve9rrQsr9SsttkvfkwkZWS1q0KCBbQShjDVNmjRRXj3yO1ewYEH06tVLeSvZIURGRmL27NnYunWrcpU9cuQIGjdurCYDxHuLgQSSE6AgZHswhIC4acgM5ZQpU9C1a1dD8tQrE7MJwtjYWPVDKDOlsjfNEcaNG6dcSU6ePKkXKkPStZogfPLkCVq2bAlxdzLzzLaI2Zo1a+L+/fvImTMnli9fjrffftuQNsFMnhKwet/XUs9W6VdabJa4P/zwg1oVlIlYf39/WwlCsVfCgAED0LZtWxw4cEB598iWiY4dO2pFabr40uZlz6jsRxcXfpmcEzfSIUOGmM4WFlh/AhSE+jO2VA6yQXnUqFHPtUn2KlStWtUZR15K6tevrz6yb82XQnrsMasg3Lt3r3pBdwT5YRC3ETnIxMzBaoKwd+/e6vCi3bt3o1ChQqatGlmdOnfunHKtXrVqler7MkvPFULjqtQhCK3a97WQtEq/0mLz+fPn1W+xrBC9/vrr6lE7rRDK4W9iv7R/R/j0008h7yj79u3TgtKUcWUyYODAgcpVX/YQikeQCOKpU6cqjw0GEkhOgIKQ7UETgWvXrkE+zwuyYdsxMycvJLKhW/axiJDytZOttNojdptNEFrdbcxKgrBPnz5Yu3Yt5BTV4sWLa+qbvh65UaNG6iAHmZ1nMIaA1fu+uxSt3K+ex0DGEtkmIKtDjiCrRDJmym9xYmJiiu/c5WmWeEWLFsVbb72VYiJa9tHLiqmcPmr1ULhwYcg+SpkMcQSxfenSpaafCLZ63WWEfRSEGUHdJnnKgCtiUI53lgEo+Y+SmRGYTRAKaxHkUg9yqIAjyEqNuCbyUJmMb43i2iMvrXJ9xs6dO9X+QauFN998E/KCIv2HwTgCVu77L6Joh371PAbx8fE4e/ZsiihyymSZMmXUVQxm35/8ovp///33IaukyV3v+/fvj/3796dYNXxROmb9Pm/evEr8ygmrjiC/9wsWLMCff/5pVrNYbp0IUBDqBNbuyTrcROVKg8WLF6cQgwUKFDAlHnF/u379OtatW6dcMBw/MnK0vuyR8uXgOHpeNpiL2+jcuXMxb948HD9+HDKLarYgp+bJARES5FhxcYGRyQc5OMGM12jIQQeyx+6nn35KcfdgUFCQupfQbEH2rcidgyIA5aVUXJfkgAM5VEpm7BmMI2C1vq+FnNX6lRbb04prJ5dRcQ2VffOyzUWu3JA9hHKgjPz+hYeHewOnT6chdw5u27ZNeWWIy6gc6tW9e3d06dJF7StkIIHkBCgI2R50ISCrADIT6SrIrK0ZgwyucghL6rBjxw61L8PXg6wOTpw4UV3kLjPDcuKcWa80kFU0EYCpg+yLMOMKlLhwuQoykyvtzmxBrpb45ZdfVFsTUVuhQgW1IkExmDE1aaW+r4Wg1fqVFtspCJ8S2LBhgzpE5a+//lJu+HLAjF1OGZXJuOHDhyvPk7i4OISGhqrTRSMiIiD7KxlIgIKQbYAESIAESIAESIAESIAESIAESABcIWQjIAESIAESIAESIAESIAESIAGbEqAgtGnF02wSIAESIAESIAESIAESIAESoCBkGyABEiABEiABEiABEiABEiABmxKgILRpxdNsEiABEiABEiABEiABEiABEqAgZBsgARIgARIgARIgARIgARIgAZsSoCC0acXTbBIgARIgARIgARIgARIgARKgIGQbIAESIAESIAESIAESIAESIAGbEqAgtGnF02wSIAESIAESIAES8CaBTJkyqYvQW7Vq5c1kmRYJkIDOBCgIdQbM5EmABEiABEiABEhAbwKdOnXCokWLnsmmSZMm2Lx5s97Zq/QpCA3BzExIwOsEKAi9jpQJkgAJkAAJkAAJkICxBEQQXrlyBQsWLEiRsZ+fH3Lnzm1IYSgIDcHMTEjA6wQoCL2OlAmSAAmQAAmQAAmQgLEERBDevHkTa9eudZmxiLWZM2di3bp12LlzJwoUKICJEyeibdu2zvhHjx5F3759sW/fPgQEBKBNmzaYOnUqcubM6Yzz3XffYcqUKTh16hTy5Mmj4syYMUN9L3nMmzcPGzduxJYtW1CwYEEVt0WLFur7Gzdu4JNPPsHWrVtx584dFCpUCEOHDkXnzp2NhcXcSIAEUhCgIGSDIAESIAESIAESIAGTE3BHEObNmxeRkZGoV68elixZgvHjx0NEYNmyZXH37l2ULFkSNWrUwKhRoxAXF4euXbuquAsXLlR0Zs2ahQEDBqg0mjVrhlu3bmHPnj3o16+fUxCKyBOhWa1aNXz99dcQAXn27FklHkUMSnwRjS+//LISlffu3cM777xjcvosPgmYmwAFobnrj6UnARIgARIgARIgAYggXLp0Kfz9/VPQGDRoEIYPH65W73r06KFEnSOI+KtcubJaORSRJnHPnz+PHDlyqCg///yzEmuxsbHInz+/WvGT1bwxY8a4JC55DBs2DKNHj1bfJyQkIFeuXCqdpk2bqpVCEYIiEhlIgAR8hwAFoe/UBUtCAiRAAiRAAiRAAukiIILw4sWLKQSfJCQrc/IRsSaHznTs2NGZfv/+/XH48GHs2LFDrfwdOnRI/d0RZAUwODgYUVFRKFOmjBKF27dvR8OGDdMUhD/++GMKN9SgoCC1Uij5btq0SbmYlipVCo0bN1ankdaqVStd9vIhEiAB7xGgIPQeS6ZEAiRAAiRAAiRAAhlCwB2XUVeC8MiRI0rkiTh0/D21INy1axcqVqyIwMDAFwrC1NdOiKCcPn26WsGUcPXqVbXHcNu2bVi1ahV69+6NyZMnZwgzZkoCJPCUAAUhWwIJkAAJkAAJkAAJmJyAO4KwZ8+eyj3UEWrWrIlKlSq57TJavHhxhIeHP9dl9EWCMDnmOXPmYODAgbh9+7bJ6bP4JGBuAhSE5q4/lp4ESIAESIAESIAE1Aqcq2snsmbNqvbticuo/DlhwgTUqVMHy5YtU8JODpUpV66cOlSmRIkSyoVz5MiRaiVPDpWpW7eu81AZWWGUfYiShhwqEx8frw6J6dOnz9NVBhcX0ydfIYyIiECVKlUQFhaGxMREDB48WB1es3//ftYgCZBABhKgIMxA+MyaBEiABEiABEiABLxBIK2L6UuXLo3o6Ggl1r755ht1LYW4gMq1E3JaaPv27Z3Zu3PthKzqTZs2DTExMUpgvvvuu/jqq6/cEoQiQJcvX44zZ84ge/bsSmxKWrLyyEACJJBxBCgIM449cyYBEiABEiABEiABQwjw0nhDMDMTEjAlAQpCU1YbC00CJEACJEACJEAC7hOgIHSfFWOSgN0IUBDarcZpLwmQAAmQAAmQgO0IUBDarsppMAm4TYCC0G1UjEgCJEACJEACJEACJEACJEAC1iLw/9LE3w3Y6YeMAAAAAElFTkSuQmCC\" width=\"900\">"
      ],
      "text/plain": [
       "<IPython.core.display.HTML object>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "32/32 [==============================] - 0s 4ms/step\n",
      "32/32 [==============================] - 0s 3ms/step\n",
      "32/32 [==============================] - 0s 3ms/step\n",
      "32/32 [==============================] - 0s 3ms/step\n",
      "32/32 [==============================] - 0s 3ms/step\n",
      "32/32 [==============================] - 0s 3ms/step\n",
      "32/32 [==============================] - 0s 3ms/step\n",
      "32/32 [==============================] - 0s 5ms/step\n",
      "32/32 [==============================] - 0s 4ms/step\n",
      "32/32 [==============================] - 0s 4ms/step\n",
      "32/32 [==============================] - 0s 4ms/step\n"
     ]
    }
   ],
   "source": [
    "_ = net.fit(\n",
    "    data_generator(batch_size, emb_dim),\n",
    "    epochs=epochs,\n",
    "    steps_per_epoch=steps_per_epoch,\n",
    "    verbose=False,\n",
    "    callbacks=[\n",
    "        PCAPlotter(plt, embedding_model, X, Y)\n",
    "    ]\n",
    ")"
   ]
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "Python 3 (ipykernel)",
   "language": "python",
   "name": "python3"
  },
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 3
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython3",
   "version": "3.9.13"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 2
}