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  {
   "cells": [
    {
     "cell_type": "heading",
     "level": 1,
     "metadata": {},
     "source": [
      "IPython's Rich Display System"
     ]
    },
    {
     "cell_type": "markdown",
     "metadata": {},
     "source": [
      "In Python, objects can declare their textual representation using the `__repr__` method.  IPython expands on this idea and allows objects to declare other, richer representations including:\n",
      "\n",
      "* HTML\n",
      "* JSON\n",
      "* PNG\n",
      "* JPEG\n",
      "* SVG\n",
      "* LaTeX\n",
      "\n",
      "A single object can declare some or all of these representations; all are handled by IPython's *display system*. This Notebook shows how you can use this display system to incorporate a broad range of content into your Notebooks."
     ]
    },
    {
     "cell_type": "heading",
     "level": 2,
     "metadata": {},
     "source": [
      "Basic display imports"
     ]
    },
    {
     "cell_type": "markdown",
     "metadata": {},
     "source": [
      "The `display` function is a general purpose tool for displaying different representations of objects. Think of it as `print` for these rich representations."
     ]
    },
    {
     "cell_type": "code",
     "collapsed": false,
     "input": [
      "from IPython.display import display"
     ],
     "language": "python",
     "metadata": {},
     "outputs": [],
     "prompt_number": 1
    },
    {
     "cell_type": "markdown",
     "metadata": {},
     "source": [
      "A few points:\n",
      "\n",
      "* Calling `display` on an object will send **all** possible representations to the Notebook.\n",
      "* These representations are stored in the Notebook document.\n",
      "* In general the Notebook will use the richest available representation.\n",
      "\n",
      "If you want to display a particular representation, there are specific functions for that:"
     ]
    },
    {
     "cell_type": "code",
     "collapsed": false,
     "input": [
      "from IPython.display import display_pretty, display_html, display_jpeg, display_png, display_json, display_latex, display_svg"
     ],
     "language": "python",
     "metadata": {},
     "outputs": [],
     "prompt_number": 2
    },
    {
     "cell_type": "heading",
     "level": 2,
     "metadata": {},
     "source": [
      "Images"
     ]
    },
    {
     "cell_type": "markdown",
     "metadata": {},
     "source": [
      "To work with images (JPEG, PNG) use the `Image` class."
     ]
    },
    {
     "cell_type": "code",
     "collapsed": false,
     "input": [
      "from IPython.display import Image"
     ],
     "language": "python",
     "metadata": {},
     "outputs": [],
     "prompt_number": 3
    },
    {
     "cell_type": "code",
     "collapsed": false,
     "input": [
      "i = Image(filename='../images/ipython_logo.png')"
     ],
     "language": "python",
     "metadata": {},
     "outputs": [],
     "prompt_number": 5
    },
    {
     "cell_type": "markdown",
     "metadata": {},
     "source": [
      "Returning an `Image` object from an expression will automatically display it:"
     ]
    },
    {
     "cell_type": "code",
     "collapsed": false,
     "input": [
      "i"
     ],
     "language": "python",
     "metadata": {},
     "outputs": [
      {
       "metadata": {},
       "output_type": "pyout",
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L0amUWggcqrXO8gg2FKHG2CdW4Uem9XvBlUflu7RUaiByU3lPa92ZKN8cSav8\nfUQBTHKr1rrqueIsxp18/eg1azrLjSYB6NfRsY3G6Is9nDjDYxh4zundvbMotvtm5N50duA5P09t\nT0faJIkfirU+zNrF1YiC4FBQECZE73/JqB//F+u14r+ImIVEOB1iu/6ZNfhwzEamp7YuU2e7RN1m\noZBnW5YVIfZ1qNWfotw51yuIph++hET0bAkcikwpTAEuCjxnSly3PzIP0a8NcnYgD6SBlSoaIhQX\nV2UtVup24LBU6S7IyG+NUuodZP52awojrTSvIjeshlij9XdQKh2jXYRRDtpGfOCruQfEpmzbdn0V\ndP9iPLsgjnEryI67Lzd/PCt6/5Tt+v3LJXAqQ/z7ut2ZO/Ccx23XfxUYZbt+7D8xCngl8Jwsa80s\nZBS8ke36O7cg4ybA5UgegJ0QE/XN5auvZRaiIMQRF12wXX8TCv9ls6eERpOtIMR+EXNS5YsRh8dS\nTo/V+CzUck21i6uR5++4wHNeKFXJRDH0PfoR5fqmtHKwDDhCa73O5JA3lCSeF04v6Z3FPRTMzBO7\nS6AE8Q12PbomgYn5Xpm29yMPhu2RUK96iKMn9q6zfa38JXo/NHoly7oQeM5K4Iro60+jKINuJVJC\nYu/439uuX805A4VkWyfbrp+V/MdFnOmeCmpfFKsSRYMc2/U/DeyG3OfSjpOx5WmfVHmcuXFcFfus\n5ZpqObbrb45EtswqpxyAcVI0FDMbOFxrXeT9a+heopvnEArzolvashT0wmbEapdgGpIU5XDb9R9F\nYqrXQyyL8wPPeTeuGHjOMtv1T0VuqldH6W//jigNmyHOcAcBgwPPcZog20xkRLcJ8DPb9S9CRqM7\nI7kDvoDE1hfdxwLPWWy7/plI7oCLbNffHXm4zUQeRtsjGRP/EXhOKSfcABkpj49i5+9G/putgHmB\n5yxIN4iSF21C14V6Rtiu/yYSW15uHv4a4P8oKAedlPcvOAv4KmItfCTKKfAS8v8NR1ILHwnsl5GA\nqF7ORdYaGA48HGWyfBqYgViDRwCfQR72PkDgOU9E2TvHI4m0TgeeRczb30DyH2iKcyA0ymrgWNv1\nFyDK1NvIQ3tStN3LCH+9HUl29UPb9echFo8BUbtLEKfJtJ9EmgA59ifbrj8bCR3cGDlvZqdTLcPa\n9NCbUMhs2GFLKvPFSAKxZl7/CxEL8pgoA+QMxD+kE3HenAHcHnjOGmNB6Dt8iGjHWSFKK4HHkcQr\nOxvloLXYrr+77fqrEIejNyiE6P0WccZbabv+lFLtG+Ry5AY/BHkYfRDtR9M79QAAA3FJREFUcwYS\nNdCFwHPuQR6a7wHfAR5GMhk+i9xcT6G6KIOKBJ6zFBn9r0GUmBlIWN9ziHf/5yjO/phsfy2yqt4i\nxOJxF3INTI9k/Q7ZoV4xv0PC5LZCci4sQm6g08kYHdquvxy5lt4DwsSmF5EENCts1//Idv3M9LbR\negJTkEx4NvBA1joFifqLIjkeR6wcfwdeQfIFTEEcjHNU79RXkShvw95Ixs5+yOj/KuSh+ATiAHcq\nxb4fxwOXRfJMQc6zlxGF6B3g4MBznmmWnBFzEUfP0xDFcCGiAG+JHKushESXIdanjRBF4l3EInAj\n8vuOqWK/5yNRGaOQFNkfIhkOX6CQgwAA2/W3jkI3V0T7ejjatAFyXb2PXP/LbVnroWGi6bbzo697\nIlaWk5Br93wkk+jztusP7o94Lna7eaoMZU0cVXIAped7eqGZfP2ZqmPFl+ptrVf3n19UpvVMYLRS\nagBywxuEjLwWAe9qrTMXV2mUzs7OP/Xrp+6qt33Hmn5Zue3XNeZTOVoky5nqKiQkrNT883Qk3WvJ\nsMLAc1bbrv9Z5AH6KWRkOB+5wRWlWo7a3Ga7/mOIomAho/GFyI30YeDREru7ELlOq07TG3jONbbr\nT0Nu9KOQm+i/gFsDz3nTdv2fI2FbpdpfHnlpH4LcnHdAlIz5yLErqXgFnvOR7fo28lDYE7lu3kKO\nTdZ9K52xrhTl7knnUVB6SqVeTsr4apQU6lDEbG4hCsFbROsRBE1ebjrwnNB2/XGIGf5gRBkYhPyv\n7yDpjR9MtVkOnGK7/vWIgrFrVPcF4O8ZKbaXIuduWkH6KfL/JbkEsWClfWK2CDzHt10/jzhXjkGO\nyzNIZEiRD00ga3ocaLv+kUh2xo8hSuVURKmIUyiXVGYCWVzKQlJD7xrJNg85b9LX8RLgF6X6SpFU\n9Cpe28gaJgORqEEAbNffDLlvHIQoAndR8NEYilwjExD/nwuUiTQ0GAwGw7qC7fqjEUvKqsBzmhWd\nt05gu/5pyNoifw48J9N5PForxQeeNFMMBoPBYDD0DWL/llvK1In9jt4zCoLBYDAYDH2DePo5MwrJ\ndv0hFPwTnjBRDAaDwWAw9A3+hPgOHRPl25iK+FhsiuR4OARx0Lwf+J1REAwGg8Fg6AMEnvNklL78\nHMRRca/E5hVINNIVwI2B56z6/3ExLRI31pXNAAAAAElFTkSuQmCC\n",
       "prompt_number": 6,
       "text": [
        "<IPython.core.display.Image at 0x106a91e10>"
       ]
      }
     ],
     "prompt_number": 6
    },
    {
     "cell_type": "markdown",
     "metadata": {},
     "source": [
      "Or you can pass it to `display`:"
     ]
    },
    {
     "cell_type": "code",
     "collapsed": false,
     "input": [
      "display(i)"
     ],
     "language": "python",
     "metadata": {},
     "outputs": [
      {
       "metadata": {},
       "output_type": "display_data",
       "png": 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       "text": [
        "<IPython.core.display.Image at 0x106a91e10>"
       ]
      }
     ],
     "prompt_number": 7
    },
    {
     "cell_type": "markdown",
     "metadata": {},
     "source": [
      "An image can also be displayed from raw data or a url"
     ]
    },
    {
     "cell_type": "code",
     "collapsed": false,
     "input": [
      "Image(url='http://python.org/images/python-logo.gif')"
     ],
     "language": "python",
     "metadata": {},
     "outputs": [
      {
       "html": [
        "<img src=\"http://python.org/images/python-logo.gif\"/>"
       ],
       "metadata": {},
       "output_type": "pyout",
       "prompt_number": 8,
       "text": [
        "<IPython.core.display.Image at 0x107005150>"
       ]
      }
     ],
     "prompt_number": 8
    },
    {
     "cell_type": "markdown",
     "metadata": {},
     "source": [
      "SVG images are also supported out of the box (since modern browsers do a good job of rendering them):"
     ]
    },
    {
     "cell_type": "code",
     "collapsed": false,
     "input": [
      "from IPython.display import SVG\n",
      "SVG(filename='images/python_logo.svg')"
     ],
     "language": "python",
     "metadata": {},
     "outputs": [
      {
       "metadata": {},
       "output_type": "pyout",
       "prompt_number": 9,
       "svg": [
        "<svg height=\"115.02pt\" id=\"svg2\" inkscape:version=\"0.43\" sodipodi:docbase=\"/home/sdeibel\" sodipodi:docname=\"logo-python-generic.svg\" sodipodi:version=\"0.32\" version=\"1.0\" width=\"388.84pt\" xmlns=\"http://www.w3.org/2000/svg\" xmlns:cc=\"http://web.resource.org/cc/\" xmlns:dc=\"http://purl.org/dc/elements/1.1/\" xmlns:inkscape=\"http://www.inkscape.org/namespaces/inkscape\" xmlns:rdf=\"http://www.w3.org/1999/02/22-rdf-syntax-ns#\" xmlns:sodipodi=\"http://inkscape.sourceforge.net/DTD/sodipodi-0.dtd\" xmlns:svg=\"http://www.w3.org/2000/svg\" xmlns:xlink=\"http://www.w3.org/1999/xlink\">\n",
        "  <metadata id=\"metadata2193\">\n",
        "    <rdf:RDF>\n",
        "      <cc:Work rdf:about=\"\">\n",
        "        <dc:format>image/svg+xml</dc:format>\n",
        "        <dc:type rdf:resource=\"http://purl.org/dc/dcmitype/StillImage\"/>\n",
        "      </cc:Work>\n",
        "    </rdf:RDF>\n",
        "  </metadata>\n",
        "  <sodipodi:namedview bordercolor=\"#666666\" borderopacity=\"1.0\" id=\"base\" inkscape:current-layer=\"svg2\" inkscape:cx=\"243.02499\" inkscape:cy=\"71.887497\" inkscape:pageopacity=\"0.0\" inkscape:pageshadow=\"2\" inkscape:window-height=\"543\" inkscape:window-width=\"791\" inkscape:window-x=\"0\" inkscape:window-y=\"0\" inkscape:zoom=\"1.4340089\" pagecolor=\"#ffffff\"/>\n",
        "  <defs id=\"defs4\">\n",
        "    <linearGradient id=\"linearGradient2795\">\n",
        "      <stop id=\"stop2797\" offset=\"0\" style=\"stop-color:#b8b8b8;stop-opacity:0.49803922\"/>\n",
        "      <stop id=\"stop2799\" offset=\"1\" style=\"stop-color:#7f7f7f;stop-opacity:0\"/>\n",
        "    </linearGradient>\n",
        "    <linearGradient id=\"linearGradient2787\">\n",
        "      <stop id=\"stop2789\" offset=\"0\" style=\"stop-color:#7f7f7f;stop-opacity:0.5\"/>\n",
        "      <stop id=\"stop2791\" offset=\"1\" style=\"stop-color:#7f7f7f;stop-opacity:0\"/>\n",
        "    </linearGradient>\n",
        "    <linearGradient id=\"linearGradient3676\">\n",
        "      <stop id=\"stop3678\" offset=\"0\" style=\"stop-color:#b2b2b2;stop-opacity:0.5\"/>\n",
        "      <stop id=\"stop3680\" offset=\"1\" style=\"stop-color:#b3b3b3;stop-opacity:0\"/>\n",
        "    </linearGradient>\n",
        "    <linearGradient id=\"linearGradient3236\">\n",
        "      <stop id=\"stop3244\" offset=\"0\" style=\"stop-color:#f4f4f4;stop-opacity:1\"/>\n",
        "      <stop id=\"stop3240\" offset=\"1\" style=\"stop-color:#ffffff;stop-opacity:1\"/>\n",
        "    </linearGradient>\n",
        "    <linearGradient id=\"linearGradient4671\">\n",
        "      <stop id=\"stop4673\" offset=\"0\" style=\"stop-color:#ffd43b;stop-opacity:1\"/>\n",
        "      <stop id=\"stop4675\" offset=\"1\" style=\"stop-color:#ffe873;stop-opacity:1\"/>\n",
        "    </linearGradient>\n",
        "    <linearGradient id=\"linearGradient4689\">\n",
        "      <stop id=\"stop4691\" offset=\"0\" style=\"stop-color:#5a9fd4;stop-opacity:1\"/>\n",
        "      <stop id=\"stop4693\" offset=\"1\" style=\"stop-color:#306998;stop-opacity:1\"/>\n",
        "    </linearGradient>\n",
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        "    <path d=\"M 110.46717 132.28575 A 48.948284 8.6066771 0 1 1  12.570599,132.28575 A 48.948284 8.6066771 0 1 1  110.46717 132.28575 z\" id=\"path1894\" style=\"opacity:0.44382019;fill:url(#radialGradient1480);fill-opacity:1;fill-rule:nonzero;stroke:none;stroke-width:20;stroke-miterlimit:4;stroke-dasharray:none;stroke-opacity:1\" transform=\"matrix(0.73406,0,0,0.809524,16.24958,27.00935)\"/>\n",
        "  </g>\n",
        "</svg>"
       ],
       "text": [
        "<IPython.core.display.SVG at 0x107005250>"
       ]
      }
     ],
     "prompt_number": 9
    },
    {
     "cell_type": "heading",
     "level": 2,
     "metadata": {},
     "source": [
      "Links to local files"
     ]
    },
    {
     "cell_type": "markdown",
     "metadata": {},
     "source": [
      "If we want to create a link to one of them, we can call use the `FileLink` object."
     ]
    },
    {
     "cell_type": "code",
     "collapsed": false,
     "input": [
      "from IPython.display import FileLink, FileLinks\n",
      "FileLink('Running Code.ipynb')"
     ],
     "language": "python",
     "metadata": {},
     "outputs": [
      {
       "html": [
        "<a href='Running Code.ipynb' target='_blank'>Running Code.ipynb</a><br>"
       ],
       "metadata": {},
       "output_type": "pyout",
       "prompt_number": 10,
       "text": [
        "/Users/bgranger/Documents/Computing/IPython/code/ipython/examples/Notebook/Running Code.ipynb"
       ]
      }
     ],
     "prompt_number": 10
    },
    {
     "cell_type": "markdown",
     "metadata": {},
     "source": [
      "Alternatively, if we want to link to all of the files in a directory, we can use the `FileLinks` object, passing `'.'` to indicate that we want links generated for the current working directory. Note that if there were other directories under the current directory, `FileLinks` would work in a recursive manner creating links to files in all sub-directories as well."
     ]
    },
    {
     "cell_type": "code",
     "collapsed": false,
     "input": [
      "FileLinks('.')"
     ],
     "language": "python",
     "metadata": {},
     "outputs": [
      {
       "html": [
        "./<br>\n",
        "&nbsp;&nbsp;<a href='./Animations Using clear_output.ipynb' target='_blank'>Animations Using clear_output.ipynb</a><br>\n",
        "&nbsp;&nbsp;<a href='./Basic Output.ipynb' target='_blank'>Basic Output.ipynb</a><br>\n",
        "&nbsp;&nbsp;<a href='./Connecting with the Qt Console.ipynb' target='_blank'>Connecting with the Qt Console.ipynb</a><br>\n",
        "&nbsp;&nbsp;<a href='./Custom Display Logic.ipynb' target='_blank'>Custom Display Logic.ipynb</a><br>\n",
        "&nbsp;&nbsp;<a href='./Display System.ipynb' target='_blank'>Display System.ipynb</a><br>\n",
        "&nbsp;&nbsp;<a href='./Importing Notebooks.ipynb' target='_blank'>Importing Notebooks.ipynb</a><br>\n",
        "&nbsp;&nbsp;<a href='./Index.ipynb' target='_blank'>Index.ipynb</a><br>\n",
        "&nbsp;&nbsp;<a href='./Markdown Cells.ipynb' target='_blank'>Markdown Cells.ipynb</a><br>\n",
        "&nbsp;&nbsp;<a href='./Plotting with Matplotlib.ipynb' target='_blank'>Plotting with Matplotlib.ipynb</a><br>\n",
        "&nbsp;&nbsp;<a href='./Progress Bars.ipynb' target='_blank'>Progress Bars.ipynb</a><br>\n",
        "&nbsp;&nbsp;<a href='./Raw Input.ipynb' target='_blank'>Raw Input.ipynb</a><br>\n",
        "&nbsp;&nbsp;<a href='./Running Code.ipynb' target='_blank'>Running Code.ipynb</a><br>\n",
        "&nbsp;&nbsp;<a href='./SymPy.ipynb' target='_blank'>SymPy.ipynb</a><br>\n",
        "&nbsp;&nbsp;<a href='./Trapezoid Rule.ipynb' target='_blank'>Trapezoid Rule.ipynb</a><br>\n",
        "&nbsp;&nbsp;<a href='./Typesetting Math Using MathJax.ipynb' target='_blank'>Typesetting Math Using MathJax.ipynb</a><br>\n",
        "&nbsp;&nbsp;<a href='./User Interface.ipynb' target='_blank'>User Interface.ipynb</a><br>\n",
        "./images/<br>\n",
        "&nbsp;&nbsp;<a href='./images/animation.m4v' target='_blank'>animation.m4v</a><br>\n",
        "&nbsp;&nbsp;<a href='./images/command_mode.png' target='_blank'>command_mode.png</a><br>\n",
        "&nbsp;&nbsp;<a href='./images/edit_mode.png' target='_blank'>edit_mode.png</a><br>\n",
        "&nbsp;&nbsp;<a href='./images/menubar_toolbar.png' target='_blank'>menubar_toolbar.png</a><br>\n",
        "&nbsp;&nbsp;<a href='./images/python_logo.svg' target='_blank'>python_logo.svg</a><br>\n",
        "./nbpackage/<br>\n",
        "&nbsp;&nbsp;<a href='./nbpackage/__init__.py' target='_blank'>__init__.py</a><br>\n",
        "&nbsp;&nbsp;<a href='./nbpackage/mynotebook.ipynb' target='_blank'>mynotebook.ipynb</a><br>\n",
        "./nbpackage/nbs/<br>\n",
        "&nbsp;&nbsp;<a href='./nbpackage/nbs/__init__.py' target='_blank'>__init__.py</a><br>\n",
        "&nbsp;&nbsp;<a href='./nbpackage/nbs/other.ipynb' target='_blank'>other.ipynb</a><br>"
       ],
       "metadata": {},
       "output_type": "pyout",
       "prompt_number": 11,
       "text": [
        "./\n",
        "  Animations Using clear_output.ipynb\n",
        "  Basic Output.ipynb\n",
        "  Connecting with the Qt Console.ipynb\n",
        "  Custom Display Logic.ipynb\n",
        "  Display System.ipynb\n",
        "  Importing Notebooks.ipynb\n",
        "  Index.ipynb\n",
        "  Markdown Cells.ipynb\n",
        "  Plotting with Matplotlib.ipynb\n",
        "  Progress Bars.ipynb\n",
        "  Raw Input.ipynb\n",
        "  Running Code.ipynb\n",
        "  SymPy.ipynb\n",
        "  Trapezoid Rule.ipynb\n",
        "  Typesetting Math Using MathJax.ipynb\n",
        "  User Interface.ipynb\n",
        "./images/\n",
        "  animation.m4v\n",
        "  command_mode.png\n",
        "  edit_mode.png\n",
        "  menubar_toolbar.png\n",
        "  python_logo.svg\n",
        "./nbpackage/\n",
        "  __init__.py\n",
        "  mynotebook.ipynb\n",
        "./nbpackage/nbs/\n",
        "  __init__.py\n",
        "  other.ipynb"
       ]
      }
     ],
     "prompt_number": 11
    },
    {
     "cell_type": "heading",
     "level": 3,
     "metadata": {},
     "source": [
      "Embedded vs Non-embedded Images"
     ]
    },
    {
     "cell_type": "markdown",
     "metadata": {},
     "source": [
      "By default, image data is embedded in the Notebook document so that the images can be viewed offline. However it is also possible to tell the `Image` class to only store a *link* to the image. Let's see how this works using a webcam at Berkeley."
     ]
    },
    {
     "cell_type": "code",
     "collapsed": false,
     "input": [
      "from IPython.display import Image\n",
      "img_url = 'http://www.lawrencehallofscience.org/static/scienceview/scienceview.berkeley.edu/html/view/view_assets/images/newview.jpg'\n",
      "\n",
      "# by default Image data are embedded\n",
      "Embed      = Image(img_url)\n",
      "\n",
      "# if kwarg `url` is given, the embedding is assumed to be false\n",
      "SoftLinked = Image(url=img_url)\n",
      "\n",
      "# In each case, embed can be specified explicitly with the `embed` kwarg\n",
      "# ForceEmbed = Image(url=img_url, embed=True)"
     ],
     "language": "python",
     "metadata": {},
     "outputs": [],
     "prompt_number": 12
    },
    {
     "cell_type": "markdown",
     "metadata": {},
     "source": [
      "Here is the embedded version. Note that this image was pulled from the webcam when this code cell was originally run and stored in the Notebook. Unless we rerun this cell, this is not todays image."
     ]
    },
    {
     "cell_type": "code",
     "collapsed": false,
     "input": [
      "Embed"
     ],
     "language": "python",
     "metadata": {},
     "outputs": [
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ahzq+lu8VqInS3fVsHvFEGG7xU4bvFVE4bvFHpd4oqfS7xU4bv+ND\nYw3eKMN3jnQGG7xRhu8UNjB7xU+l3igPS7xRv7xRB6XeKPS76A9LvFHpd9Ael30el30B6XfR6XfQ\nHpd9Hpd9Ael30el3igN/f8aPS7/jQHpd/wAaPS7/AI0B6XeKPS7xQHpd/wAaPS7xzoD0u8Uel3jn\nQRhvZQQ3eOdBGG7xzqDq7xzoPk9Tu31dTndXhd4YDVwaouD7KsG7KKsH3UwHNBYHNXXjQXU0xe4G\noq4xU0VYVZasiU1FzTkTNdZGbWiNBWlI19vxrpGK0xxoB28zT0jQ9/M0Rpjij9vxrRHHH255nyqD\nTHHH7eZ8q0xxRjv5nyqDTHGnceZrVHEnt+PlTQcqJ2Z5/KmrHH3nmaBoRPbzpioneedBcIneasEX\nszzNaiLBF7zzqQi95+NWC6ovefjVgq95+NaEhV7z8anSO88zVQaQO08zU6R4j8aInSB2mp0jvNFG\nkd5qcDvPxoDSO8/GjT7T8aA0jvPxo0+0/GmgYHeaMe0/GgNPtPxo0+/40BpA4k/GpwO8/GgjSO88\nzU6R3/rRBpHEk8zRpHiPM0BpHefjRpHefjQGkd5+NGkd55mgNI7z8aNI7zzNAaR3nmanSO88zQRp\nHeeZo0jvPxoDSO8/GjSO88zQGkd5+NBUd55mgNI7SfjUaR3/AK0Bp9p+NGn2/rQRp9p5mjSO8/Gg\n+S0O6mA+2vE7LgmmA99X0qdVSrVFXDUxGxQMByM1daiwxe/NXBoQwd9WHuqxdrgZpir7K3IzTkX2\nVojRd2VrrIxa0RongFaESP1Y99Vk9I4vVLWiNIc46paDRGkPq1rTHHD6pag0Rxw+qWtMccJP92tQ\nao44eyJa0IkXq1oHKkPq1pqpD6taBirD6tauFh8C1RYLF4Fq4WLwLWhYLF4BVgsXgWqidMXgFWCx\neEVQYj8IqwWLwiiDTF4RUhYvCKoMR+EVOmPuFAaYe4UaY/CKKnTF4RQRH3LQRiPwipAj8IogxFj7\nIoxH4RQGI/D8KnEfhFAYj8IownhFAaY/CKMR+EUBhPCKNMfhFAYTwijEfhFAYTwijCeEUBhPCKMR\n+EUQYj7hRiPwigMJ4RRiPwiijTH4RU6Y/CKIjEfhFGI/CKAxH4RyownhFFGE8IqMR+EUBhPCKgiP\nwiiPkxaYCeNeF2XFXU1VGd/GrA1aqy+2rqagcp3VcGguD7aalFMWmKO+tSJ6NRT7KdGjHfpNdJGb\nWmONuGg7vZWiNGH+GeVbjFaUVsf3Zp6K/Hq/hQaEVvVGtEav6qpsPjVyf7o1pjV938I1Faow/AxG\ntMavgHqjURpjV938I09Q+P7uqGrq9UaYur1Zqi41eA1YZ9WasFhnwGrDI+5WhYZ9XVgT6uqicnwV\nO/wUACfBU5/kNVNJz3JRk+CgM/yVOf5KAyfCaMnwGgMnwGjUfBQGT4KAT4KCcnwUZPgogyfBRk+C\ngM/yUZ/koAH+Spz/ACUBn+SjP8lAZ/koz/JQGf5KM/y0Bn+WjP8AJQGf5KMjwUBn+WjP8lAZ/koz\n/JQGf5KM/wAlAZHgoyPBQRn+SjP8lBGT4Kgn+Sg+SlNNWvDHaLjFXGaqo7atmgutXX2U0pq7quKs\nDFpqirIHIDTkUnhW5Gdnxo3cOdaERt2AOYrbNaESTwrzHlWiNZMfZX8w8qqHosvhXmPKtCJL4V/M\nPKoHok270F/MPKtCLLw0rzHlQaI1m3egvMeVaY0mz9heY8qg0xpN4F5jyrTGk270F5jyoNCLNj7C\n/mHlT1WbwLzHlQMUS+Befyq463wLzHlVFx1vhHOrfxfCvP5VqIsDL4F5/KrDrfAvP5VYLZl8C86k\nGTwLzqonVJ4F5ijL+BedUTl/AvOjU/gXnQGp/AvOpy/gHOgMyeAcxU5k8I50BmTwDmKAX8I5igNU\nnhXnUhnx9hedAZfwDnRl/AvOgNT+BedGp/AvOgMv4Bzqcv4F50Bl/CvOjLeFedAel4Rzo9PwrzFA\nen4F50ZfwjnQGX8I5ijL8NI5ignLD7q86Mt4RzoI9LwrzFSC3hHMUBl+xV50ZfH2RzoDLeEcxQS3\nhXmKAy3hHMUZbwjnQGWz9kc6CX7hzFBGW7l5ijUx3aV5igMv4V5ijLeEcxQ0gl/AOY8qjU/gHMUR\n8kpwpi14XaQxTTAaqrYzQFIqiwU01VopgFXC1qQNUHNNRTWpGdtEae2nxp7a1JpGmOM9pHOnpGex\nhzqxloSMjHpDnWhI28Q51Q9Ij4vjWhIj4hzqB6RnhrFPjiY/eHOoNMcTd9aY4m8Q5/OoNUcTeIfv\n8a0RxHxCqHrGfEP3+NNVD4h+/wAaoYqnxCrhW8QpBYK3iFSFbvFaFgreIVYK3iFUWAYdoow3eKqJ\nw3eKnDd4pEThu8UYbvFVdjDd4o0v4hRBhvEOdGG8QoicN4hRhvEKAw3iow3iFAYbxCp9PxCi7GG7\nxRhu8UB6XeKPS7xQThu8Uel3iiDDd450YbxDnQGG8Q50YbvHOgMN3ijDd4oDDeIUYbvHOgMN4hRp\nbvFAYbxCjS3eOdAYbxDnRhu8UBpbvFGlu8UBhu8c6MN3jnQGG8Qow3iFAYPiFGG8QoIw3iFGG8Xx\noPkdDgUxffXhdoup301T28KsFxVwKsVcAUxRWpD0YqimqgrUiGIlPRB3GrGT0jHcfjWmNFPEHmfK\nqNCIn83M+VPSOM9p5mqjQkad55mnxxoO/mfKg0JHHjt+PlT0jj9vM+VSh6Rpu48zWhI4/bzPlU2N\nMcUf83M1pjjTdx5nyoNUccY8Xx8qeiJ2Z5nyqhqqnt51dVT286aDFVO886uFTvPM1qCdC955mrBV\n8R5mqLhVxx/Wp0qO0/GqJCjvPM0aR3/E1UTpHeanSviPxoDSviPxoCjvPOmgYXvPM0aR3nnRE6R3\nn40aB3nmapoaR3nmaNI7zzNETpHeaNI7zzNAaV7zzNGkeI/GgnSPEfjRpXvPOgNI8R5mjSMcT8aK\nNI8R5mjQPEfjQ0nSO88zRoHeeZoDQO88zRoHeeZoDSO88zRoHeeZoDQO88zRoHeeZog0jvPM0Y9p\n5mgNPtPM0Y9p+NAY9p+NGn2n40Bj2nmaNI7zzNAafaeZo0jvPM0BpHeeZo0DvPM0UaR3nmajQO88\nzRBoHeeZoKjvPxoPkVDTFNeF2MXvpi1Q1aYorUgYozTlUGtxDUT2U5EHaKqbNWNd26nKiYwUHKqh\nyJH2xg09Ei9UOVUPjSH1K1oRIe2JeVBoRIfVLyp8aQeqWg0IkPqlp6JD2xrWQ+NIePVLWiOOH1S0\nGiNIe2Ja1RpD6taDTGkPqlpqrDj+7WqGKIfVrTFWH1a0iLgQ+AVcCLwCtRU4h8AqQkPgFaF9MPgW\npxD4BTYnEXhWgLF4RVROmLwCjEXhWmzQ0xeBanEefsigCIvCtGIvCKCdMXhFGmLwiqg0xeEUaYvC\nKCdMXhFGmLw0Bpi8IoxF4RQGIvCOVGIvCKAxF4RU6YvCKCdMXhFRiLP2RQGIvAKnEXhFAYi8Io0x\neEUBpi8Io0x+EUBpi46Ryo0xeEUBpj8IqcRdw5URGmPuHKp0x9w5UBpj7hyoxH3DlRRiLwjlRpi7\nhyogxH3DlRiPuHKgjTH3DlRiMdgoI0xeEUYi8IoDTF3CjEXhFB8iod1NXFeJ1MU05TvqzsNUGnKM\n9lbhs5F9lOVD4a1Ep6IfDT0Q+D8MVYGojer+FPRG9UaIcqP6r4U+NHH+EeVUPRXHGL4U+NXz/dGg\n0IH9Uaegf1VQPUOf8I09A3qjUD0D+qNaY1f1RqbGmJX9Ua0oG9Uaoeur1Rpi6sf3ZoGLq8Bq4J9W\na0LAn1ZqwJ9WasFgT4DVgT4K0JyfV1Oo+rqicn1dGT6uiJ1H1dRk+ChpIJ9XRk+ChoZJ39XRn+Sg\nMn1dAJP3KJpOf8upyfV1QZPgoz/l0ROf5KjP8lBOf5KM/wAlFGf5KM/yUQZ/koz/ACUE5/koz/LQ\nGf5KP9lAZ/koz/JQGf5KOH3KLoZ/kqc/yUQZPgqMnwUE57koz/IaGhn+SjP8lDQyfBUZPgNAZPgN\nGT4DQH+yoyPBQGR4KM/5ZoPkROFNUV45HUxRTkBzwrUibaEB7qcgJ7q0HoGzwHOnorHsHMVUPRW4\nALzFPRJPCPzDyqqciydir+YeVORJe1V/MPKiHKkx+6n5h5U5FmH3F/MPKrA5Fm7UXmPKtCLNj7K8\nx5UD0WbwL+YeVPQT+Bcf6h5VA5BNu9BfzDyrQgm3ZRfzDyqB8Ym8C8x5VojWbwLzHlUVqjWbd6C8\nx5VoQS+FeY8qqHKJuOheY8qYol8C8xRDB1vgXn8qsOt8A5/KtQWzL4F5jyqw63wDmPKtKkGTwLzH\nlVsyeFefyqicy+BefyozJ2IvMeVBbMvhXn8qMy+BedUGZPAvP5VOZPAvP5UQZk8C8/lQTJ4F5/Kg\nMyeBefyozJ4F5/KiDMngXn8qnL+BedFTmTwLzozIfuLzqoMyeAc6nL+BeYoIy/gHMVOp/AvMeVEG\nX8A5ijL+Acx5UBqfwD4eVGp/APh5UUZfwDmKMv4F5iiJzJ4RzFGX46BzFBBL+BeYqdT+AcxQGp/A\nOYoDSeBeYoqdT+Acx5Uan8C8xQRl/AvMeVTl/AvOgjL+BeYqcv4F50AS/gXmKNT+BeYoDL+BeYo1\nP4V5igNT+FeYo1P4F5iggF+1F5jyoy/gXmPKiDMnhXmPKjMnhXmPKgMyeFeY8qjMngXmPKg+RUHD\nNOUb68sjZyrTkWqNEajvp6L7apD0Q7vSHOnoh3b/AI1qB6IfEOdaFQjfr+NA5EJ+8OdOSNvH8aoc\nsRA+0OdOWM+MZ99A5I28fxp6Rtj7Y51A9I28Y505Yz4xzqB6Rt4h+/xp6RsfvD9/jUVoRD4hWiND\nu9Ifv8aI0xxndhh+/wAa0Ih8QqwNVWwPSH7/ABpio3Ywqi4Q+IVYK3iFUWCN4hVgreIVoSFbxCjD\neIUE4bxDnUgN4hQSA3iFThvFVBpbxCpw3jFUGG8YqcN4hTQMN4hRhvEKINLeIUYYfeFBOH8Qo9Lx\nCqg9LxCpAfxCgMN4hRhvEOdEGG8Qow3iFAYbvFGG8QoJAbvHOjDd450UYbvFGG7xzogw3eKMN3jn\nQGG7xR6feKCfT7xRh+8UXYw/eOdHp94ogw/eKMP3jnQGH7xzo9PvHOgBr7xzo9PvHOgPT7xzo9Pv\nHOgPT7xzqMP4hzoDS3eKMP4hzoD0uOoVGG8QoPkiNdwpyqM15Y2ciginoo7K0Hog7j8a0IoO/f8A\nGg0Iq9x+NPRF4+l8a0Q5FT+bmfKtCJH2auZ8qByJGOGrmfKnIkf83M+VUOVY/bzPlTkjj9vM+VQO\nRI/bzPlT0SP2/HyqBqpH7eZ8qeqx/wA3M1A5Ej/m5nyp6pH2k8z5UU+NY/bzPlWmNIvbzPlRGlFj\n9vM+VPVU7zzNUNVU7zzpgVO886CwVe8/GrBU7zzNagsFXvPM1Ole88zWhGFPaeZqwVe0n40E4XvP\nM1ICeL9aonC+I/GjC+I/GgkKp7T8anSvi+NBOle/4mgKvf8AE1QaR3nmaNK+I8zQTpUfe+Jo0jxH\n40ROkeI/GjC+I/GibGkeL9aNK9/xNUTpHf8AE0aV7/jQGkd/60aR3nmaAwvefjRpHefjQGPaeZo0\njvPM0E6fafjRp3cT8aaQaR3n40afaeZoDT7T8aNPtPxoDT7T8aNPtPxoDSO8/GjT7T8aA0+0/Gp0\njvPxoI0jvPM1Okd5+NAaR3nmajSO88zQGn2nmanT7T8aA0jvPxqNPtPM0Bp/mPxo0+08zQRoHeeZ\no0g9p5mg+S0UYpyKPBXmjRyoMfZp8arjcoqqcip4BWhFj9WOXzqociRerHKnosXql5fOrFPRYfVL\ny+dPVYPVLQORYPVLT0SDH90lA1Fg7Ilp6JB6paBqLAP8JaeiweqWoGosHqlpyLB6pageiweqXFOR\nYfVLRT0WAf4a0+PqM/3S1EaYxD6pa0IsHq1rQaoh9WtXUQ+rWiGAQ+rWpCw+BasVbEPgFRiHwLWh\nIEPgWpxD4FqgxF4FqwEPEItAYi8C0AQn7gqiwEXgFTiLwCkE4h8AqcReBaoMQ+AUaYvCKA0xeAVO\nIvCOVAaYvCtSFi8K02g0xeFanTF4RVBpi8Io0xeEUROmLwio0xeEUUaYvCKNMXhFE0nTF4RRpiH3\nRQ0NMXhFGIvCKHYxH4BRiPwigMR+EUYi8IobGIvCKMReEUBiLwijEXhFAYi8IoxH4RRBiLwijEXh\nFAYi8IoxF4RQGIvAKMReEUBiLwijEXgFAaYvCKNMPgFBGmLsQVGmLwjlRXylGCQDop8YPYnwrzRT\nkDDdo4+ynqrHA0H3YqhyK2P7o8qegf1Xwqq0Ir+p+FPQPu/g/CqHoH4dUeVOQP6k02HoH9Saamv1\nNUPQP6o05dfZGagegftiNNXV6o8qgausj+6NPQP6o1FOXXu/hGnpr9Uagcuv1Rp8Yf1RoNKahxiN\nOUt6o1UNUt2xmrgt6s1ZRcMfVmpDH1ZrQnJ9WaNR8BoJ1HwGjUfV1YJ1H1dSGPqzVgNR9XUhj6ug\nnUc/3dSGPYlUSGPgqdR9XV2AMfV0Bt/93U2J1H1dGr/L+FUTk+r+FGT6uiDP+XRn/LqonP8Al0Z/\nkoaGT4DRn/LoDJ8Bo1fyUQZPgNGr+Q0BqPq6nJ8FAZPgoyfBQGT4KMnwUBk+CjJ8FAZPgoyfBQGT\n4KM/5dAZPgoyfBQGT4KM/wAlAZ/koJ/koDUfV0ZPgoIz/lmpyfBQRn+Sgn/LoPlKMP3D27xTk143\nBeYrzNHp1m70V/MPKnKJeGlfzDyqh6iUn7KH26h5U9BL2BPzDyqxWhOuG4Km7+YeVOQTbvRT8w8q\nIegm8KfmHlT0E/aicx5VVNUTbvQT8w8qavXY+wn5h5UDk68/cX8w8qenXeBPzDypSHqJvAv5h5U1\nRN2ov5h5VlTkE3HQvMeVPUT+BeY8qUOUTeBfzDyp6CbwLzHlUD0E3gX8w8qegm8C/mHlRDlE3gXm\nPKmqZj9xfzfKqHL1vgXmPKrgy+BeY8qu6LZm8C8/lUgy+BefyqwGqXwLz+VTqmPBF5/KqJBl8K8/\nlU6pvCOfyoAGXwrzHlU6pfAvP5VoTmXwjn8qA0vhXn8qCdUvhXmPKpDS+BefyqidUngXn8qnVL4F\n5/KgNUp+4vP5VOqUfcXmPKgMyn7i8/lU5l8C8/lVBmTwLzqcyeBefyogzJ4Bz+VGqTwLz+VAapD9\nxefyqcyeBefyqoMyeBefyozJ4F5/KoDMngXn8qNUngXn8qoMyeBefyoBk8C8/lUE5k8C8/lRmTwL\nz+VUGZPVrz+VGZPAOfyoDMngHP5UapPAvP5UBqk8C8/lRmTwLz+VAapPAvP5UZk8A5/KgMyeBefy\nozJ4F5/KgMyeBefyqcyeBeY8qIjMngXn8qMyerXn8qABl8C8/lRmTwLzHlQGZPAvP5VGqTwLz+VA\nZl8C8x5UZk9WvP5UBmTwLzHlUZk9WvMeVB8rIud5bd76eiHxDnXnWHKpG7WOdPjT+cc6KeiHxjnT\n0jbP958aoekbH/EHOnJGw3axzqxT0jPrBzp6xseLjnQNVG8Y501UbjrHOmw5EPjHOnojdjjnUD1Q\n+Mc6aiN2MOdRTkRvGOdPRG8YqB6I3iH7/GnojeIfv8aByRt4h+/xp6o3iH7/ABoGhW4ah+/xpqIR\n94fv8aRDAreIfv8AGrgN4h+/xqiwDeIfv8anDeIVQYbxD9/jU4bxCrBOluOoUaW8Qqi2G8Qoww+8\nMe+qo9LxCpw3iFVBhvEKkah94c6Kkaj94VIVux6CQG8Qo0sfvCqiwDeIVOG8QoDDj7wqcN4hVBhv\nEKMN4hQThvEOdGG8Q50BhvEKPS8Q50Qel4hzowx+8OdUGlu8c6MP4vjQo9Lhkc6n0u8c6IPS7xzo\n9I9o50No9LxDnRh/EKAw3iHOp9PvHOgjD+Ic6n0uwihsen4hzo9PvFAen3ij0/EKA9PxCjD+IUB6\nfiHOo9LxCiDDeIUAP4hQGHH3hRhvEOdAYbxCjDeIUHytGFwOPM+VaEVAOJ5nyrzNHqI/5uZ8qeix\n44tzPlVDkWP+bmfKtCrF/NzPlVDkSL+Y/ifKnKsXt5nyoHosXeeZ8qcixd7cz5VVNRY+88z5U5Y4\n/bzPlUIcqR+3mfKnqsfZq5nyqKcqx9meZ8qaix7uPM+VQOVY+wtzPlT0WPPE8z5VA9Fj7M8z5U9V\nj7SeZ8qaU5Ej9vM+VPVY/bzPlVQ1Vj7zzPlTFWMdp5nyqouFTvPM+VWATvPM0E4TvPM1YKneedFG\nF7zzqwC955mrESAneeZowmePxNXYnCd55mqnQTjJ5mmxYBMcfianCd/xNUGEHb8TU4TvPM1RIVO8\n8zUgL3n41VTpXhk/GpCr3nmaIsAnYfiaML3/ABNUSAveeZowveeZoDC+I8zU4Hi+JqiCq9rHmaNI\nPaeZoDSO88zUhVHaeZpoTpHf8TRpXv8AiaA0jvPM0aR3/E0BpHeeZqdA7zzNVNAIO88zRoHHJ5mi\naGgd55mjSO80NDSO8/GjQO88zQGgY4nmaNC95+NDQ0DxHmaNA8XxNBOgd55mo0DxHmaA0jxHmagq\nO88zQGkdhPM0aV7zzNAaB3nmanQO88zQRpHeeZo0r4jzNEGkd5+NGkd5+NB8qRiLsiHL509BD6le\nXzrzq0IIO2FeXzp6LDj+5X9/jT0sPRbc7+pT9/jTlEA3dQnL51Q9Bbjf1C05eo9QhoGr9Xx/crTk\n+rk/3K0U9eo9StOQQepWgcn1cf4K09OoG/qVrKmr1B/wUpy9RuzElA5Oo9UtOT6vw6pKgepg9StO\nT6v6paB6dR6paev1fA/hpQNXqPVrTF6j1a1UWHUD/DWrDqfVLQWHUerWpzB2RrzpuLofwPVrVh1H\nZGtESOp8C0fwfVrVgn+Dw6tajEI/w1q9CR1Pq1qR1Pq1qyiwEHgWj+D4FqiQIfAtT/B9WtaE4hx9\ngVIEPDQtU0nEPagqQIvAtAYh8AqcQj7q0Bph4lBU4h8AoAiLwCjEPgFUGIfCtT/B8K0ABD4BU4i8\nC0BiHwrU4i8K02gxD4RRiLwrTYMReFaMQ+EUBiHwijEPgWmwYh8K1OIfAtBGIfCtGIvCtFTiHwLR\niHwrRBiHwrRiLwrVEEReBajTDn7C0AVh8Ao0w9iignEPYi0Yh8Iom0FYe1RRph8IoDEJ+6KCsPgF\nNo+WoteP7r4U9OsP+EeXzrzqehfj1Jp6F8/3PwoHoZPUHlT0aT1BqqcjSeoNOUyHd1JoHKX9QeVO\nVpPUmnpTkZ/UHlT0L8REeVRTlL+pJpqlxu6k1A5DJ6k05S/qTUDUL+qNPQv6k1FNVn9UaerP6o1Q\n5Gk9UacruOMRohqO/qjTQz+qNU0vqb1RqQz4/ujQ0nW/qjuqQz+qNNmlgzerNSGb1ZomgC3qjU6m\n9WaqjU3qzRqb1ZoJDN6s1Oth/hmrsT1jeqNSGOc9Wau0TqPqzUhm9Wa1sTqbh1ZqdR9XVlE6j6up\n1f5dXYNZ9WaNR9XQTqPq6NR9XQTqPq6NR9XQGr/LqQ3+XQSGPq6nUfV1YDUfV0aj6umwaj6ujX/l\n0E6/8uo1H1dAaj2x0Fj6ugNR9XRqPq6INR9XRqPq6Cdf+XRr/wAugNX8lGo+rqoC2PuUav8ALoqN\nX+XRqPq6A1H1dTq/y6IjV/l0av8ALoaGo+rqC3+WaD5WjaXA9FPzL5VoRpjv0J+ZfKvMNCNP4E/M\nPKnILjwJj/UPKqNCC4x9lPzDypyC47ET8w8qqtCCfwJ+YeVOT6yB9hPzDyopyC446E/MPKmqJ/Cn\n5h5VCHJ13gT8w8qcnX9iL+YeVFPXr+GhPzDypii4z9lPzDyrIcvX+BPzDypq9f4E/MPKgcv1jsVO\nY8qchuPAn5h5VA5frHYifmHlTVNwPup+YeVFNR7nsRPzDypqG5P3E/MPKqhym47ET8w8qYpuPAn5\nh5U7DA1x2on5h5VbVP4E/MPKnYkNP4E/MPKp1T+BfzDyp2LBpu1E/MPKp1TdiLzHlV7ROZvAn5h5\nVOqYfcXmPKnYNU3gX8w8qnM3HQvMeVOzoapvAvMeVSDNx0JzHlV7E5m8C8/lU6pR9xefypNidU3g\nXmPKpDS+BeY8q1BOqXwLz+VTrm8C8/lV2DVL4F5jyqdcvgXn8qoNcvgXmPKpDTeBefyqwTqm8C8/\nlRqm7UXmPKqJ1TeBefyqdc3gXn8qA1TeBefyqQ0vgXn8qA1zeFeY8qnXL4F5/KqDXKfurz+VTql8\nC8x5UBql8C8/lU5l8K8/lQQWl8K8x5UapfAvP5UE5l8K8/lRmXwLzHlRBmXwLz+VQTL4F5igAZfA\nvP5VIMvhXn8qKMy+BeY8qAZfAvP5VUSTL4F5jyozL4F5jyqAzJ4F5jyozL4F5/KgMy+BefyqNUvg\nXmPKqDMvgXmPKjMvgXmPKgNUvgXmPKjVL4F5jyoI1S+BeY8qgtL4F5jyolfK8Q3fbGPa1aUGMnrB\nzrzwaYwd3pjnT0H+YN3top6K3rBzpyA7sOPzUgein1g508K3ASDn86KaiMPvjn86cinO5xzpsOQN\n6wc/nTUVj98c/nWap6KeGsc/nTVVvGOfzqBihydzjn86cit4xz+dFOUN4xz+dOQN4xz+dAwagPtD\n9/jTFDk5LjH79tEPQMODjn86coI++P3+NA0avEP3+NMUN4xz+dFXBbhrHP51O/jqH7/Ggn0vGOfz\nqw1eMc/nVRPpeMc/nUgN4xz+dBYagM6h+/xqCW7GHP51dCQGznWP3+NT6XiH7/GgkBvEP3+NSA3i\nH7/GmkWAbxD9/jRhvEP3+NUThj94fv8AGp9LxD9/jQA1D7w/f41I1eMfv8aon0vEP3+NSdQ+8K0A\navGKn0/EOdBPpeIUYY/eFUT6XjFHpeIc6on0/GKkavGKCfS8YqPSP3hVFgG8Qow/iHOgnDeMc6Dq\n7GHOrpBh/EKPS8YoJ9LxijDeMUB6XiFSQ3jHOgj0vEKn0h98UB6Wftip9LxDnQRhvEKnDeMc6A9L\nxCjDdrigMN2OOdRh/GKA9I/eHOjD8NQoDDeIUYbxigj0/EKg6vGOdE2+U49G7Af8zeVaI9P8w/E+\nVcCNKBccTzPlTkSMnezcz5UU9FjH335nyp0axg51NzPlQaECeJuZ8qcqp2FuZ8qm1OVV8Tcz5U5A\nm7eeZ8qitCCIcSc+8+VOURjxcz5U9hqCLjv5nypy9X7eZ8qyuzF6vOctzPlTV6rvbmfKgcvVjxcz\n5U5erxxPM+VBderJ4tzPlT0MXeeZ8qeg1TH3nmfKmKY+0nmfKqGKY+88z5UwNH7eZ8qQXDRdpPM+\nVXBj7zzPlQSDH3nmfKjMZ3ZPM+VBYGPvPM+VWBj7zzPlQGYz2nmfKpzHwBPM+VVFgY+9uZ8qkGPv\nPM+VAZj7zzPlVgYzwJ5nyqif4feeZ8qkGMdp5/KnSJBj725nyqfQzxPM+VOhI6vvPM0fw+88z5VR\nOU7zz+VTmM9p5nyoJ/h+I8z5VI0dhPM1difQ7zzNHoeI8zV2JHV+I8zU4TvPM1Qehw1H41OF7zzP\nlV2DCeI8zQAneeZobSNPeeZqfQ8R5mrAeh3nmaj0fEeZoLDR3nmaPQ7zzNUHoeI/Gp9DvPM0E4Tx\nHmaPQP3jzNVB6A+8eZo9DvPM0AAnHUeZqfQ8R5mgPQ8R5mjCeI8zQGF8R+NGF8R5mgMIfvH40YTt\nY8zQB0eI8zUAL4jzNUT6I+8eZqML4jzNQBC955moIXxHmaI+SkmhH2bVCP37a0pcWo4wKD+/bXAM\nS9tQ2Pq4x7vnWyKe3YApbAj3fOnatCSQf/tRy+dMW5tlA1Wqgnv/AO6gcl1af/t1x+/bThdWo4Wy\n/v8AGorRFcWjAEwKD+/bTlubTfiBd1NrDkuLTd/BXfWqNrQ8IkqbDRJarjMaDNOD2oGeqT31AxHt\nW3iJKar2udPVJn30tDUa3PGJaYsltnHVrUU1Xtsbokpqvb+qSrsNV7ftiSmLJbH/AAk3VNhoe27I\nlq4e349WlBcPb+qSrB7b1SVRYPb4/ukqwe3H+ElIJD253dUlSHt/VpVFg1vjdElSGt/VJQSHtvVJ\nU6rf1SUEhrf1a1cNbY/u1qosGt8f3a1Ui3P3Fp0LAW+MaFqQIPCtXpEgQD7i1OmDwLQVZYB/hrVQ\nYfVLQSGiH+GuKsJIvVrzqi3WQeBatrh8CUFtcHq0o1wZHoJzpsWDQHjGtTqt/ClXYjrLf1a1Blgx\nnq1psAmg7I1qRLDn+7WrsT1kJP8AdrUiSA/4S0mSLa4fVrRrh9WtXyUa4c40LUh4PVrSVE64fVrU\na4c56ta1tU64e2NaNUPq1qeQnXB6taNVv4FrW0WBhP3Fo/geBabB/A8C0HqPAKuzQ/gerFT/AAM/\nYFIIzB6sUfwD/himwf8A1+GgUYg8C02aH8D1a8qg9R6taWj5LDTYyLbH9PjV45G4GDf7q4I0wPqI\n1W+494rdFctGQEiJXhgDhRTxfSDhbtyqRc686rdsmpQ6OVzwh+Fa4pA6kdQR7f2aiwxXdDpERwPZ\nWhZG3ZhJzw3VFNRj/wDtmpyyHdm3b8P+6lU9ZS24W7e/9mmrK4XAtjv9vzqbF4nfibdhTldsgiE0\nDg7n7MbZqy9bnPVGho0SSg56lqaGkO/qjTpVxIx4xNyq6PKuf4bDNRF0nkHCNquJ5AMhGyKLpYXU\nuQerbNWFxKd+hqbQ361Lp/uzyqPrUufsEfhV2LLczj7hq4vZhuMJ5GmxZb2Tth/Wp+tzA56uqJ+s\nynf1NMS4LDfDv/GmxImkLgCHOfaakzTK2DD8aouJ5cZ6nd27zUid8f3PxNBJmmAz1R51HXyn7jVR\nInkx/dmrieU8YjzNESLib1Rq63Ug4wk1dmk/WJWz/BwDVo3cg5iO7tptNKGSQkkQmpDS8epNAdZK\nOMJqesk9SaCRJJ2Qmp6yQcYTQSHfsiNTrkJx1DVdiQ0g39SaYspAOqBsimxJm3f3JoE/+S1XYt12\nf8FuVT1x9S3KrsSJh6o591HXb/7o8qbB1o9UeVAl/wArf7qbEmTH+H8KBL/l1diTL/lGo63/ACjy\nq7EiT/KPKp63/LptB1hJ/uqgSEn+7NNietPqjyoMh7YjV2o61jwiO6jrSf8ACPKm0HWn1R5UGRvV\nGmxHWn1R5UdYfVU2Pj6NrrtRMdvpL5VdXuAcaIvdrXyrkh6SznjHH7fTXyrQktz2LGO/Lr5VFPSW\n6BDBI/dqXyp6zXB3lEHuZfKmw5ZroEBQnt9MeVaoZrlTvRPzjyqXSnJPcg56qMg/zjyrSHuTvCx4\nz4h5VFaElvUGlAoPsceVNSS7AwVTP+oeVZ7DRLd4B0R/mHlTVe6G8qn5h5UU5JbnO9EP+4eVNWS5\n8KfmHlUDBNddqJ+YeVOS4uN3oJ+YeVD4MWa5J9GNM9npjypoluwMmOL8w8qHSwe5zuVN/wDMPKmK\n9yPtIn5h5VBZZLjH92mT/MPKoMk7bgie30h5Ve1XU3I3dWn5h5UwSXON6J+YeVTtE67niUT8w8qk\nyXAIJRPzDyq9i/XTjdoT8w8qv104/wAND/uHlSbEiW4xnQn5h5UddOeEafmHlTsW624O4KmR/MPK\ngTXA+4n5h5VRPW3PgT8w8qt111uHVr+YeVXsWWW4zvRMf6h5Vfrbjh1a/mHlQHXXG8dWn5h5VcTX\nGP7pN38w8qAEtwdwjT8w8qt1tx2ov5h5VUT11x91FP8AuHlVhJdMMiNPzDyqhhlkCjEaqf8AWN/w\nqRdXCppWJc57WHlUm10OuuSCNEf5h5UCW7Yb0THfqHlV7QCa5UghVP8AuHlVuvuASQifmHlTdEmW\n6A1GNN/8w8qkT3JP92n5h5VdiwmusblX8w8qBPdBcBF/MPKm0HX3Z3aV/MPKrC4uDuKJ+YeVBImu\nMY0J+YeVWEs+c6Fx/qHlVAJrgfdT8w8quLmbsRT/ALh5U3RIuZs/3afmHlR19wcjSh/EeVNiRPdc\nAifmHlQZ7jP2EB/1Dyp2ATTZwUT8w8qBNOPuL+YeVN1E9dOfuJ+YeVW66XGGjX8w8qvYgyzdiL+Y\neVBkn8C/mHlTdAJZ9+ET8w8qkSz53ov5h5U7Fi8/q1/MPKo6y47EX8w8qboOtuRu6teY8qBNccNC\n/mHlTdEiS5AyET8w8qjrrknIRPzDyq7QCW58KfmHlUGW67Y0/MPKpuo+RUUhypnGr/V86YEUHJnG\nR7ayp0LZGC6+8n501UJIPXjf/NRWhEZc5uF/BvnV49THHWgAdufnQaEBGB1vx4fGtceCoAlU59vz\nrPpV0yr/AN6B+PzrVGSRp60D8fnQ00qsgGOtGePH50xHkJw8owN2c8PjWfatKR5UMLlD3DPzq6My\nn+8X9/jU+Wl1L6siRT7M/OtK+kP7xR+Pzohig5wZRgfvvpwA4iQfj/3U2e1gWP8AiLu9vzpyFlXL\nOD7z86C4ycHWo/H50zV2a1PuPzqAVmG7WOfzqck8JBn9+2qq6hiCesG72/OmKWxgyDn86C2HI9GQ\nY9/zqMOTgyDd7fnQT6XEuOfzq+t8ZLL+/wAaIAz8NY5/OrYfG5xn3/OqsSC3rB+/xqC7DGH9+/51\nRYNJ4wM+351fXIOMind3/OiBXbGda5Ht+dMEna0o/f40B1jZysoxn99tW1tggsPZv+dUNjkKDClT\n/q/7q2GO/K8/nSC0ZIYBiNJ/m+dEkgBxDId2eJ+dOxUgne0w/f41YMvFpSMfvvoIH2mIkGO/9mrF\n5XwFkAC+351Qa5Du1g/v30M7qclhz+dWIvmQ49MD8fnVsON/Wrz+dBYFxxYb+/8A7o1EbtY/f41Q\nAErulGR2Z+dTl8gs4P4/OogDnJy+O7f86cxGgaX357T86qlkt2yAEe351AdgT/EHs3/OiL9YfGP3\n+NXVieEg/f40EliDulGf37aN5P8AeD9/jVEliNzOOfzo1d0o/f40QZbtkH7/ABo1tx6wfv8AGglW\nYgfxB+/xqGds6esH7/GgsXdeDjn86gyOcZkGP37aolZZBuDjH79tMWZlGSV94/7qQVM0hP215/Or\nCVwM6l5/OrsVaUsP7wD8fnVVdiQOsUfj86iLF39YOfzqRdLowQCe/V86vpHyBG9sG3sx7t7eVPQw\nMp+3+ZvKsxT4FifO98jsJbypy9VjSS35m8qK0xNCqDLNn3tu+FOQQ6uJ3DO4nyqKaphPBX9u9t3w\nrVDEhjLpq3HxHd8KhF42hbJy2oe0+VaFWFBqbVj/AFHyqEOinjXGNWe/UfKnFoXydTd53nyqK0J1\nKxAgOfbk4/SpjMJK5Zhv37z5VFaddv8AYGrPfqPlTYxFjJLED2nyqBydUQd7YHDefKmo0Z3elzO/\n4UsDwkQI+0M95PlUkxBvtMR/qPlU0GK0RTALZ958qFEQ3lm5nypoNCxMM5PM+VNEcQAb0uZ8qaVO\nYRuBOfaT5VKmEglmOR7T5U0LpNA3o/jxPlUs8O/c2fefKggmIji2fefKrgxbt7e7J8qaFh1R35PM\n+VXxAFLCQ5HZk+VUQgjf7Go9vE+VXaNXXIDbvf5UnZ7QsYbdhh+J8qNMagg6h+J8qvoCmNckluZ8\nquqox0jOSM72PlQW/hq2MHdxwT5VMYAbUdWPaT5VZA7VHq1aSRw4k/0oaRAufSA/HyoI1R6GYMxA\n9+74UCaDI0g7hv4+VEDtFnVqbB7cnyqNcJBOpj7cnypoQDGAcOT7Mnyq7yxAYOpfZk+VBRJEQH02\nx7z5UGVG4s3M+VaQ2KYEAda27vJ8qfEY3JZnbcM8T5UFhJAeJbPvO74VAMPEM3M+VBJaIqBg7vaf\nKp1RkHUWz7z5UEDqgRvbd3k+VOZ1LKc9vY3yqiJRAXYAtx7z5UkmLJALYHbk+VNhgMJXCltXvPlU\nIUzvLd/E+VVA8kWchm5nyojkjGSztv7yfKguQhGoOSPefKhnjQfbPHvPlQR1ijfqY59p8qv6Mm8F\nuZ8qCweJcDJGPafKpZoCc6iD7zj9KIoZIyd7E/ifKrB4gRgk538T5UFyI9IJDgE9hPlVRJCPQ9M/\nifKqI1xbwWI/E+VQsqBTgtu9p8qCvXRcctzPlU9ZDxyxz7T5VE2NcRIGps+8+VQzRDfv5nyoPkO1\nutlylAscJ6w4Q5yDuzu391dG1iik3fVV5fOpLshyR20cgH1dMtvGRx+NaRHblsfVow3cO341VSn1\nYP1ZtUHf+81oZLSJRmGLJ3gDf/WsqbCbfWAbVM9ntHOtOLeM77SNSf330D1Ng+Oqs0VhxOd1N622\nwY3tYcceHzrParolqDvgTHs/7pyi1CF/q0ZA4/vNCNEM1r1QH1dMZ4bvOrI1qzD/AOugz+++s2jU\nPqKkH6utaIvqztoWFN/s40XTWLW0SMOEj39v7NLBgBysCe809HbVE9sBlrcHHGpH1feVtUPcd1RV\n1WIqFNqm/twKu8NuOEMZ9lE0WkluH09RHnuyK0rPaoR/BjG7eDQM66zJ1PbR5A3YxWcS2vEwJvop\nqLaFNaRJnPDdV+tgI9KFN3uoDVbk5ECY9lMjeI4AgXdv7Koc8Vuqh3thvGeAx+tUkezBBFumkjH4\n1BVTaA/3UYHtNaY57VowDFGuc5IqnpIe2BxpRt26q6IXcaoFUH3U6q+0NHbNIYkt1PdT/qlugBdV\nUj2Vek0UI7VScIu7tpsUkDr1bIu/dk0l2GO1pARpjjORnfSmubWVNIgQDPDsp0CKe2jLBYkO72Vd\nijKNNpFgj2DNWWIQ0tnp0mFc54ZFSr2yocIo1HeM7jToSs1sn+EmKh5bZ/8ACQ1EQDb8TClXja13\ngwpWpQ0mzBysKUwNbqueqSnRosy2x/wEpsZtkXUEjPszSUOVrfqdYij1E4xVJpbeJh/CQN24qiiz\nWr7+qTjTHe1JUiJBg0Q4y2fWsOqTJ37qzvLbs5BiXupuKtFcWqtpMSYx2gGnrLa9WWMKA9ntqzSR\nUtZ9VnqYyf0pOq349SmBUGhGt9DFYY2U8R3UBrRvRMSewmrsU12yHfEm6rJPbMCOqQZpsAltt46m\nMkVXroC+DAmD2VUTrswQohUE+2rZtlxiFKnsMW4i4qoVhu4ilLcwK5YxgH2UFXmtHB/hJnOcmrLL\nZBM9UmSOHdVCzJatu6lKsGttwESE02iGaBWz1KZqHmtguXhTf+++hp/K+L6UNqbF2wDY7T6+0gYt\nblwQVBBxu3Y3Hhwr9W+j36aoZ9nPL0jvpGuCdCrgYKjtAzx314sc7x3eXpMbp71PpQ6Ly9RbptBG\n6zBicIfSznA+FdXYHSyy28k0tpGzCCQxs3Y2O7f+8V3w5sc701vbu2d7a3ZE9s2tO9Tu93Gts8jX\nMiCK3UYGNwI/Hea6K6MS3UipEtrEvAZz9rmauqM0+LmDAQ4cDiaBkjQQOHt7aYjtDV1LZLK5VJZ7\nZ1BGPRGTn21NNRvitdmrEWUTEe1OHxqIbS0lDRm3I0kjVg55VNBi7O2fHhWMhB7lNXgt9nHe0U4I\nOMHt91NLA1qmcxIQp8YINVaK5jOqGInG7cazqmmi0jnK63RQc50k1rLXikMIhpHDFD0aBOBhrDUc\nceA/WupsyRbcEi3RG7mweWab7X27EO1eMZSHIHDSK8Nti/u7jaErvDkhioKjAwDu4VbdpIRZTym5\nQNbnBO/jXTe8WOUq1sDjdjBxUakXBEy6kiK78Y34piWE5UsAunvNRKdaW0xO+LK94rQ9uCwjNsd2\n/O/zrWl1F47EY3Rtkdu+kGR4JjEsJIG/ganpNINymr0oZBTIzBOpVY5dR4YG4mpCFyQ3e4G1c+2o\nWC8AwtswFWbvs0uReLgpasCOO/jQJb1HVvqpIPAZz/Wg3R2N1Mms2bIx7SSKRPFdwHEkJI4bmzmq\nshSTzJ9q3O/s31D3Emcm3IptbOi5Lg6cGJvZ30RSyEKvUHecgijGmtLg2/pNZhtRxk5OKVJfs53W\n4AxwwaqFv1hXV1P61VJpPsGI4FRQbiUkjqCR+NVEkm4iBvjT0y0Fx1WpInz2jHzo+sNGfRgYg1dq\nhbty4UW5wd3aKv8AWJtap1LY4b+6mwzDHciE794wauzyxlV6k4A37qdCVlErHTG2FG4fs0p53ZmJ\nt2xjjvNWIqkkikfwSQa0STHGVt2GO80qp+sGSQ5hZcjjQX0NnQxHec03tIXLI+r0YifdR18rEAxE\n4781YGLOyuUNuSMZGc1QTOzEiAgGqLrLPHhlhbf3VPXSZLdWSe6oLi4JGGtzS3mfVlYD7KTtELcM\nAS0LZ4++hZpGOepNUNEkjkEwtge+pWeRQVETHPcKQ9p+s6gVeBtXYcUoztnHUtvpsWilLOVMJAqX\nYKzBY9WBSVFGklC5W3bFCvKRjqfxqGlnlYKMx5x3Up52YgLC3tzmiP4rrJN1sbEA9Zw38fhXVh2h\neRBQsilM7yCPRPdw4Vz5MZl0y6rbf2lL1Yj0h4cOCGUZX2Hv9ldrZPTXbyGW6t76JM+h6JVQRu4r\np48OVea8cxw6T1Hqujv0kdI2trbYezpAknXE9aZ1TXqIAB3YO/h76+k/o8kvbDZtqm3tqQXN5eqZ\nIVMysdIHDOOyunFPHu10x7e1tdrJNIIoWtjOFLBUdSTjj2V0IXvZ1d2t414nLEYb4V6dxqGo06xi\nR0iK546lIxyqlztC9ht3aCKNTnirDnwp+6m2m0Lq4t1dwocbm9IEfpW+K8vEUFobYjOPtLnPKs6D\nTczyYcJCuP5h5UyOe5IyscRY/wAyjHwqKoLjaIYELGRnJ9Jd3wpou7xz6PVMPa48qvpT1faGgsbe\nHGfWDP6VAu5CDMGgC53jrlP9KgznpM4bSYkYDP3lG/lW636QmW3BLxq/AguBy3U2GxbUc+mktvqI\nwSZVG7lXPnlvWmciKLeTwYeVZ3sWt1vBIpeOIb/GM/pTZJboyEhIz/vHlVX93QsxcmLWUQb8Y1Dy\nrYy3ccRPVof9w3/Cl2WbbLaaWMKDGgLAHGoeVaDLMSD1S/mXyrU9GmSe8uY+KqMnd6Q8qost3Iw0\nrEW7WLjyrPYsTOjYkhgY9+oEfpVXnnjl1R20JA44YD+lISbPg2hdSRljbRZHDD/KpG07+P8Ahy20\nQz2hgT+lXdWwq4vr2RQixxkcc5AP6VeEbXQiWOAg8cgj/jUm2Vp7zbO5ZWxrIHpMB/StSwXv2tcJ\nYd8g8qvdVke5uJEZhAmRkA6x5UmC9Kqy3cPWDu1jyqIwSSXJkysKBTwyw4cq0PNLoiKRp7fTGf0q\no2NbytgQ3EBBGQGfH4cKxiS41HVFGMdzjypdxFjPOmf4SEccax5VC3MwdSIEwd59MeVO6GtJJoDJ\nEuT/ADDyqY2uScmFB241DyqaBJJOJCFjTA/mHlUSSzKqnq11E8NQxjlV1dhnVzdR1mlNW8YJHlRb\nXDoCJIEZuz0xj9KE18mfW5Sz4t4x3HX8qqs16QXMak9vpjyqaK1qhSMsyEA7zvXyrHcddGA6AEMC\ncEgf0rU6TSYzcsFzCu8eIeVXeW5xp0J+YeVLdLpVpbuPDdVGc/zDyqks95j+6Vcjxjyqz0i0VxOF\n9OFScY+2PKq9fcZIWKPceOoeVBrmnu5IkY2sCEDGVYb/AIUhZLsAfwkz/qHlTfwLR3V4VbCoDnxD\nyqv1i8zqaKMk97jyoGpLdvk9ShP+oeVW6+c4RoovzDP6URBFyykqI8D+YeVUL3QcLojxjiHHlV2G\ndZcg7kT8w8qcs9yyDVFEeziPKkozmS5EpBRBx+8PKrRzXA3tDESOGWHlVQdZcs5KwoM9gYeVILXq\nOcxID/qHlUD4ri7ydUaY7PTHHlQ73Z3KiZ4/aHlTYorXPpK8SZH8w8qiKWYSfxYkx7HHlRH8X4Zd\nRwGGn3b8ZrrWUB0th9ZbJaLUMj25NY5Z4TbF6JkhmE3WwSIsYz9rOBVZbq4s0MUrButyzMBjPtFZ\nlmXQ0bI2pMZsC4ZTjSArcfwr28H0mbcW1S0G2pmSBdMaFyBv3nP41jk4t3UWdPoL6APpO2je28y3\n19ZgxIyRyPo1hmIJJJ9Lf8a/a7C8vBZT25u4nSfeGO8j2g9ldcJqSOk7TaLPbxdS1wrDOftfOtqE\nEb2Uk8fTHnW+mmVo72N2Cumls4Cvw5Gl6bxBqaQjv9L51kdCwmcoTJON3efnWr64DwlA/fvpuqBJ\nKQVhII454n9ae8hTZ/1tJY9SnH2sHPuzUnXsYG25fDUonXS3EZ+dcwvIScTjefF86iAl+PWjn86u\njOP8Yb/5vnQPjZyw1XAA9/zrrw3EawBluCWG4jOP609eljfbIz+kZxpIzx+daxFEwyGBJ3bm4/Gm\n2my0hmKkJJgA7wd/9a2wuEchps78Y1YH60mg0SRjUS5Od4353c6lHjQ75DxON/zpoW6mB1JJQg4I\n3nI+NNtxEsw6pVXUN4zkfrSRL0tcPE0bs0cZdT2HH9awB4s6tSKTkYz86LOkGXRGAhA79/zqATM2\np5lB/ftop8bDVnrBnHHu+NMumljQpDdZyAcq3zpTRa/WGGJbvrCozgn51XVdFiBOqA9pPzppnt0N\nm7K66EubyMSasjHD9cUyWOMOUGhyO3G79aqsF9akyRoZ41BJ3dg+NS+zoo4wJZ01Z7G4/GjNZ1il\nUakI3HIwfnUQpcK5counub/upP1ppd4pJZDhSisuNyk/1q0dkQuWuQN2CDGaaq6T1EKZ1XJGBuYK\nRv50tUuXZoRMsmW3Eb8/GqlbDsm+0htIA7s8fjWS4tp5tLRYOnccdh509CxS6twpmBVQMnfx+NUj\nlMjMyIm8bhx/rUiJ3kKVwGG44PH41ot42mlx1iYXiC2P1NTe7oaJLK9Zdzx4Pc486y30M0KrCSue\nPEH+ta72uirZJ2Xc4wPb860XCS6EPWHVwOf+6JpTqpWkWNpR6WAcdnxrpy7HjeMadoqdIx6SHzpO\niQgbBlyQL2Lhkbm31otOjy6usm2hDoH2sA5q7NG3uzoLKJri1vILjxIwIIHeN9cqRw8SgaFPYQfn\nQ1ouIKrDXIu87/S4/GtbSWoBwhdSMY6zgaqM8BIJywAz39nOmSx9W5LsF3ZXfkH40gSkzgkK4x+/\nbTkt53j1IVJ47j2c6uhfqp9Go78+zt51RDKEZFcEZBIzwPOp3tDUtpZG1BlIxxLY/rVZFdXEUkvo\nr3HOBzp38hktrJpVra5VlyM794+NSbbrIn0zhnA4A/OqsYpGlWMISvHOe39aug1JrWZQQeGfnTTM\nQZcnVrGff86ViQFmds6uGD286I/jlJs1oYop40bLtgYbeDxwAOO7FbINnyLF9ZUzCQMpBwdOk5yS\nezGO2tXWXVZ0ZtLZ52bcSRX+ghkWSNopc6iwyM943H3fjS7+NZ7QzxppljXDLk4ZT37vhXDKSWWH\nsjZ1n1jLIAAFz/CBIau5szZlvDdxzoTPExy6MG3A9+73U5OXxo/Wfo8j2AnSuxl2beCJUfBSQnB3\n53pvHZzNfR7dKti2QZWnA0Y0qGbJBwM8KYZSTt0np0rfbljOiyKJAGGRq1A45Vri2vamRVy2D3s3\nlXTpY1bPvYLnaaW4dgkhC8W3e3hXQ2qbSzMkQy5Q4BySD8KyacpLuB5AGzGp4kasfpWyEwyLles3\n8Dv8qK0m2nEZ6m50htxAkIyOVZm2fO/Fye/+IfKmtteNKOy5Dvwf/wDofKj+y28DH/efKnaaQ1gy\nDJicj2MfKk6YFO8uD7S3lQsNT6tnOp+beVPjeEHcz828qiPQ2c9q0KHrCoC7/SY/03VtX6o4DxTn\nv+0fKnpqMcW0IoblpTPIQO5m/DsrWm3rdiNaNvGdzHjyqbNtdttGzmRQ2Q53cT5U6eaDcIyc6sne\nfKrI1q1MV5B1h3kKQBnJ48qXPtiGC5H1eR3CgjJz5Ut10lC38c8oLiYBzx9ID9Ka6WZziWT37z/S\nkkEDqBwuGzw7R/SnxJH1bMs5IO9t58qaXSbWa0wdayON2N58q6McVi+G+quVx3nyoMk31UNlbeRG\n4AelgjlS5Z4x/Dni4bxvbyqzXySAXUUUem3kdQTk4Jx8RWwXURtd8zGTGRvOcZ91S/snyU9vFcxR\n6XYMoP3jx5ULY5GqWVyQQcajnHfwoadKzg2SqyJPcSjX9kDh+lZ502apOl5VUggEE7zyp0FW+04I\ndH1tWwu4BS2/28K3RbQ2fIokw2l+zWR/SqSl3k9tLD1EAYa92Cx8qVs6wthMUmmaEaSQ5DYHIU1C\n2RskhgiSQjaRPVjOMtk+7dXAj2olrPII5WIJ3nJBPwqWM297aoLtLxmEk8pixkqHPlWmWbZuz7Is\nsYLK2F15JPwprpN9pN3siO2F6p/iyIdwJ3H3Yp+z59k3Nq0k0cYmC5GAd5Hfwqbm9LtVb2xdCydS\nrDiNbAj8KqL7ZxmMKSxTHPapPIkVrS7lKN0hm0W0KDcCRv8AKpm2nbvF1VwhB+6VzuPLfQ2naElo\nqQzwuxQLg4JBzypX1qxMJeSaTXxIyfKrpn+CYrsMykFiOH2zw5VpE+UdFWYHif4hxjlU0R0bcdHZ\nLRTNcXCyhcHB7e7hXEne0e6QKGESnSdLMfx3irNF9MlysccmMtgjvPlVrWSKRwhZtIOM793wqz9k\nbbZI5LnqUkH+5iBzIqbi4FrIVY5/3Fh+lZ12EwXVpNIyyZXJyN58qdNEsa5VnAPtPlWpvZ7Nt7q1\nSHDrId+85PlTrOVbWSS4SQ9WR4s7uVLD2Eu7K61yO7phid2d/wAKo31KdwkVxqfgFZiD+lPRvpZU\nubANNocRsMHJyCOVZJry0jje6aZ4xjLcQB8KaJPh4696fW6XOi3tTJGG3vrPpD3ad1ei2FtvZm1l\nL2MoLcGjd8MD7qM2Og8duJWgklVJANWC5z+leN6bdLbno7Gn1CDr9xZ2JYhRntwKHt/Lq1uLeKKR\nkggZJMjcBuO7eO7gKUdpQuHtnRHjOfRQYB+PGuOrb/DnHNjaKSYtdQswVd3sHu/GtEbxG4HVEYAI\nGO7urrd/PpVpusjfr4AupN5xu3c61QbQbWpuIB1bbw2Dv+PZmpeOZSVXY2Jf2VvdG4jYJKCCHA7T\n3b8V+1/RPaNfTS3t+i3KIdOWzn3H21xwxvn2sfsMT2eBi1Td7PnWqI2hG62T9/jXetNts9sJldbV\nAQQRj/uvVQGO6UxzWwRSBq1KDk+zup+zURPsfZEa6xb6iDv3fHjXY2fY7D+qRymCLTjG48D7aTon\nS17BsaGLVDbI/fgjI91ZrWHZ03pPEkeRgBt28U8rempTmt9mRj+JbDjxBFYL5rWBxLb2yGMDfk0t\nsNlxX+zXYO9rhM4PCkbZOzWaJ4rNACDv3b6nltL3GBTZjhbR/v8AGmq1ljBto/3+NRl0rc2XVavq\nsft91VjubNXJW2QEjdj/ALqKr11mSf8A6ye395rRaiylkCm2jAxx/ZoOlb3UK7rawhUDcSSN/wAa\nd9bs3dkkggTCk72wM1rddG63k2W1sS1pbhyMjDDjzrFdizRFf6jACW4gg/1qZbqXbI90qBVa1VMb\n1/D8ai22zZrrWS2jfsHpEYP4Gpups242vaPD1cdoisTgnWTu512Y3tXsYnlNv/GGGCMCR7xndSXR\nvbs7Mn2NKiWaWqxlfv6hn9a6NxsvZdwOtS3Vmxw1DJ5mnR3GS12cLaRnOzYyvcGB/rXO2lPZ/X4w\n1rHErPpbJBq71Gtz2zXU2zVYxQxx41BQayxXdsL1U+qKcKVIqdM/LsWgt2Tr0tUdXOMgjhU3ktoj\nZlXRncpOMU30pSPZaQzXMOo8Rp4UiS5sZ2cGSJY0BOWwM+6puVNr2e0NgyWOqQIJ1wvpLuwDx5VS\n029ZWlyS9rH1LdmgH8arKl5trYqiRoA4kPpI2Bx92fdW7ZV6l/FHNcXBiONxVlwQPZmqvtG2ukZt\n7k2sVnGyYxqIHpe7fWAWVkkTbRvIVTUTlO3POpsNi2hsh4VeC0iUxnDNjGR2Z30ja88aQxGS1QxE\n7j7x76fsahAt4poldIYdJGQPZSYdoWNtcOjWsbALjA7+dJNF6Lv7q3jKt1EYEo1bmHnV9m31lbyr\ncvZK6jjg431ZWY7MEtntKXXbWQi3b8nnvrRtG1tNntH1scTBhq3HNLdTcavZN1tPZ10qxLbx4Ucc\ninfW9l3INv8AVIScbsAZOOyktrMc+3ls1uMCFUi1YPA4ri9LOnMFlNcbH2XBGoACvIp7Rv3b61VT\nsPpbJtW4ht9oW9uSIgFbSAWx2mvUCK1MmuOO2YkDcGGazMpLpG5Barbg3ezo8ZIy6jNYNkTbL+uy\nxSxRojZwQcCtSrWu7fYNvLCkcMU5kzqcbiO7dmuKy25kZEtlO/Az3c6s17SjRbxk67VAe7FdZL3Z\nshjjS2wfvbwRT2npF9DZYzbwowPFQKTAbNk6swInY3tHOl69r+68llbgYijiUdoyN/xpUdgkcoka\nzGkby2QcfGps01Tbahs0FurRTxPxjY5GK5HSLanRu+2cbGUxWY+8SQd3aOdX2Tqvyy4m2baTHqli\nZG3agM7vcTWCXadu8nW/VYgQcAjdj41LBb/5SmzZv7SCEyIp1FjnI51+f7T6bNd3ktzG2l5Cd4bs\nPZxrNlR8Tlp+r0hc78gd+6r2MRknQk4VmAY5wVrt1HN0LtVtZpLW3laUHAJwCCDx3msoaWIhlixu\n7t5qSbhGmC4Zyf4JCOMnG4Hv/T9K6A2cbgr9Uhkw2Qf4W4fj20/tViWC9t7hlWPW8faPSyPdmvor\n6Cdo3k1k0E8eBHvbh6eQMcq55WblXF+ypK5UPHbHB7h866mx4XvLtYpLZlUgk7qrT19ts6CBSf7O\nVjjcd4I9vGtEZu4XBWLK9oNWTTXRs8006aPqIz7T86vZCaEE/UsEg8M4zzopO1NoSqkai1YMGBOD\nu/eaVNtUQKJ2tmZiO6s9z2Mm0dpTTxwyQwsCTy+NZZLyWZZYW0s8Yy2g5/r7KztGNtr2dpbs8zxK\noGSSw3fGknpPYXaxxpJCxAJHpcRn31nym9WmzTcSDDrb7j+++rLeufREGfZ+zWzbRFeXaqEEDae6\npF1cZybZuHdWZBP1qcAj6qd/v866uybzHovaKcYwW3E/GtSLjqtb3skrSf8A1t8Y7O6uZcXczrk2\nzZP776XqaavrUaINquscataMNIwTj50T7TkJAS2bGc1m5X0nkzXG0rh5ldLYjC4/e+sxuJg2fqpA\nPHd86vtLdtcdy/ok2zEjB7a6S7QlMf8ACsWLZ4EU7WLCbaMR61rCRQMHgcVsj2ncYH/1mGfafOpd\n+juNdvtGdWz1UvDhqOOFcue9vJHJkhbAORk8PjQp9vtUMXMluyHGR76yybRu2cMsTBjwIz51Udro\n5Ptu9m/s6G3DpxYOuQoHbXVmtopLv6tcxyKAmoCNCQd/vOKNSbRf9G7ixga7gmUw4LASjSx3Zxjt\nrgm5FwkgkiVCvDCkEnHKs61U054uLiJWAtWI7OwUw39xJbdV9VOonec5q2skhZs5e2OPxr0uw0gu\nYAtxBPGyjAI4YqzLd0To/asbxpos5CzFQwODkfGuOm1NpNC9tLGxYHeGX+tLdelvpy3nvCS31ZwC\nf32104b+coqXNqzjAAySazldRmXs4bVSElBYSKcdm/8ArXMgvG+v9dcWLSIxJK9v61vHvtqtG2bp\nL67WXZ+z5Y49IGl8ZBpEU8y27K1o3Hu+dX36Zgiv7mJvRtmGN/b516HZUE+3FfJ6rqwMqTu/DJrO\nlnZl/sibYzpMUE0bj0gOz4muc8sjSl4YWjB7Dn9am+11px9rbZk2akyGOQStGTkAkHP414Q3cxm1\ni3Zs79/fW0eh2HdzbpfqiEoeAByO6vSNtGbqNQtmyePHzrPj3tmursbbK7VheyQKZogAQxO8VXaH\n1u3lI+rIMjcUyK1tdsT7Qmt8SzQMqrvyRXchvbi9ZHjhaUlcpgHf7qvojC+1pmvDZyxsZ1O9Wzla\n1i4eNtX1djjeMU2pdltG+kuJB9Wch9+nBNF1cTxM7PZyDfvBBqZy1FbbaLyAK9q2M9ud3xrrdRLP\nZdesUqnfgKucj8DUm50seR2lPcRalhtyXO7S3Ej3ZrwW17qVbl4TbzBMjcykEj8atuyOJfTPEwCQ\nEnP4450hp5TGG+qkHO8eypL2jlba2z1dnJ/9XrCfR04+deIu7aeJRcJaEoxyMdg51ufolfI0sMlu\nsZWeKQHgobeDjuxREZ1YSLpyTv3gg99al8ptyNeZw59FMk5OWG74dtTHdyx5YLGSOHA47s7uFVW3\nZd2kEsXXojrqyQMZAPEbxXpIr/RK52bHHGqSkqJNOCp7CMYA9nurjyb0OasNyZZAUjDBuGVOd/u4\nV6Tor0i2lsi4PUyxwQsMMocY3+8f0rhyf29D9a6OfSvLbQiO+khnVdyfxEX2cdP7zXt7f6WdlWki\nGBotTeixZ14ezd31z4vqetZe1xyfsXQvpBsWWCK+2tdddFMAyiHSyuh9u7B7MYr0e1NqbG2rcJY9\nG9kQKko0/WJpSpRjw3DP77K9ksvp13tw9odEtu7PxNJtKwnGoBkinGoe3BUVu2c8dtIIdp3VrFgj\nUOsJ1L3gqh93vqRdZSbsatoWGzdpvHs7o/s/rJpgdE5uho1e4oK8N0tm2l0QlEW3RbxKD92ZGxyF\nT1Ga/H+mP0ybUjvnt9gz2scCH0HDrqc9/Ddv/SvCX3TrpXe3j7WnvsXci6etSdQSMdvo/hXjyyuV\n7c7e3NTb+2BFKshjMjelumTHD3UtekPSFh6L28encP4qZ3cfu1vLixvsehX6RelNpsxLYMqxx5bU\nlwrNkjgd1Y9l/SDt6S9jvTcoksL61kEw3+wgrgisTC5Xzl9LK/ZOiX0qQ7aVoNpRwWk8aay5lTQ/\nZu3fCvb2d9JfoJrN7edSAcpKp48OyvXjZW523w22053CLBGozvLMoA+FTt6aw6P2jXV5t6wDIueq\nDjW3sA00ysxm6t3I4UHTrYssZmbacGjUE1Kyk5PaRjh7a9nsW3sNrwK1vtewmYgthJVOQOPZ3VJn\njl6pLszakVtZydWLrZqaNx1TgczpwK8N0g6c7N2NcCGWaFy2MdVIrDnimWUxm6Vz7z6Stj2tstyb\niJy27Srr6J9uRWsdNrL+yI9rySQrG5AwJFyCfZj8ak5Mam3AufplSzmMUeyxIAxUOZlUH28K9x0f\n6a2k9pHe39xaQiVcjFwh0/Cphnvtca9ENqXExYRsjIwyp6xcH/1qvW3wXLIgI/nXyreVtat2fatt\nSclI44yP9a+VdG06P7YuJljmWIF85XrFyB38KuOKA7Cu4HKymLUcqoDqSSOzhVYdkyNK0d0mgD7L\nKw49xGk1dLO3Qg2c1sDoZjI25ZFIBHwrDN/8hsb3rp4RJERpDmXIwfaBu91NLb+jVtXau1bzZwjk\njJSEDR/FyvvGR+FcOAbRI19XEB3lh5U1tm9F3F5eupi6qID/APkHHlSIri/Rw5giYA5xrGD8KY4p\n+7t2F0lzEfrFhGDniJMj9KmeSWBjJZHR6O/EoG/3YrOu1kct9pbS6/rm0Fl3AiQD+lPg2ptITvIE\njJkXScyDeOVXVTydP+xOkM1qt4bGMQMNQPWLvHKsbLdq+FjTPDBcD+lYs60mttCi6YZeGLP+pfKi\naw2g0Jlis039oI/41cL1pddM1pHtBLhUnt0VeDZI3fCtEolsUZJxA0cp3MJFG/u3rXSdHxp5a6PS\nF7gm3iAjkzoUMN47x6Neq6HNtqwIu5447mBwFlRpVUqveN361ndqx6vbxtpLBZ9nzqVYgqrMMMPe\nFrzzTypA+beINjjrHlWcrJSvzLpH0gv5brSsEOEyuOsXeM+6uVFdXlyVMcESsDv9Nf8AjW5tK79h\n9bjwEaNGc7/THlW++27cLbPZRQRmUff6xd4/LV2SbZtg7budj3qXT20MhGQVMoGR+Ar3I6SWG2FD\nWaQpIoy8bSDV7cbt9Yyy36Z/Z5LpDtbaNzJ1EUEXVxEgESLgj3Yro9Gemu1NkSpqs7aSJU0BWdeP\nYQcbjVn7m9Mdt0gvoduja19aRTfxCWWSQEEe/Ga95edItliIz7OmtpBjW6SlWKjuBIzV8mpXgbnp\nzfC9kiggjiBbKMrrj4rXpdjXPSra9oG/stpUcFtasDkd+McKkzvySNL7K6U2JaW52NKkQGScYH/4\n1U7fn2dGZZmjRRjIMgH9Kme/bOtVzdrdL9hbQiZolge7hBwplX0vZgrX5rt7bl9Lelo4IACuMNIp\nx8K1vrTWV083dzbRWUuUiY8cmRcf/jXn7/be1xJpVYgFOAOsUf8A9aYzaMWvatwQZI4iGyRiRSf/\nAMaTJJfL6BWJh3CRd3/rWptNvkzQs+nXgODwB41AcISpfB4Ak10k105HJDGqddKVdicaSSPcakQh\nQrllw2ckcN9LVbLK0QnrJsIoxv1fGunC6mVYkuFGd41bzivPnltF7uCY/wARdIw2lsHhTY7f61EV\nVtMuM41frXHynjv9F+HOma/2de6HkIZQBuY4I9lejsdoSOqi4uWVZB6OW3riryYTKTLFP4e52T04\n23sazWys9qyRiE64wrn0h25376f0g+kjb21toNtCG+6qbQAEt3KLwwdwO4+Zrlhu9NSv3n6I/pc2\ntd9FotnXE1lPPYqes62PW+gHiW7eOK5/Sj6e47baFxbSbOsesi/xAhCkYzwDAV35eSYyadMs6/PO\nlH04dJ9ogTWV+2z7ZCGWO2kZV1LwYHOc/jXi9sfSVt/b+z2hvNqzTBXLEtMxLZ79++uGGOWd8rXP\ndrzUVz1sQk60tITx6zfTDfTO/Utd6s4GGbtrr4y5b16RoeC7ggF011HgeiwR84FZoYpZ5ghvk9Hf\nnXW8cplNyHs3qJl1LHtBBJvwocjV7M1ltxLbSNFNLoBOCC3ZW+Oy71Fj0+y72ZwEjuB1IHENjHnX\nuOgfTzaPQfaEu1bNortXBja3kbUhXsOnv8j31w3OPKrLp6/pB9PW3tsWpMFhbWShAuIhuY8d+d/K\nvFXnSyTpFbxJdzwK4X0CT6WM8OPZn9K4cnLll3Oy5W9POm/utjRkFlkxvYiTIAz3Zq+zOnV3Y7QX\nalptKSGUn0SkmN3bnfWZxef54/Kfu7m2vpF2xtgGZtohiVAchsYI9xrylxt24mk9O4JVhliH+ye+\nusxuf9y3dIO0lkcRLeau06nyK64uNoS2qiCQKrEMB1hKnGeG/dxq5zWt+hxL+XaH1gzSSFc4x6Z3\n93bXorLae0XSIyXaHqQuAX3rj9a6ZyTGL6e86IfSTebGAtbpxcW5bONeWXJ34JPD2V+zdHtoQbes\n472G5RVc74zICcb95wd3A1rDcmq1H6BsbZVstqsttdwzOx9L09yd+/O6t+0doWezoJHs545JVjI1\nGTJzzrtPW1vbi7Mkg2nsxk2leSh0Y6VVsau3jmtLqyDKmUoBnVqzj3+lU3pqEtOjaFac4O9dRGPw\n9KkbQMhjCwPnSfSU4wfjStdsV1LdaEgLhVYbxvH9abuigVQV149LL8e7dms267ZrDZ7Oae5brZ1A\nXfuPzrpw2q2DDU6yqewj51Z3CTrZ7WVnEsshGjTl+OB+tcSRZpwSJl7sk43c6mU9GW50F2W7xFmm\nXJ/m+dMsrRY7lBdSYiVhqZWyQM92aS7Zk77e/wBpdJNjjZYtbC+Eh04AwRjHvrwrNI5OJl48c/Op\nyXS2a9rRPOWwZVwN/H513tj3d5DbtHITJG5Kr6XDsyN/ZWcPY7ey7C0iWQNeWpadFxqk3o27JG/t\n35FeE+knaAtbuHZdtc20rJ6bNGcjJ7OPGuto5dttqOSK0sbiY2s1uG9NQQXO8jeD/Su3svbtz1tx\nb2EUd0JACVKkFAO2osdGW82Wuz2jmmgtbgZbQZM768V0m2vcx2iR210mibUC6tnh+NYslqXt4J7e\n4lcs0oA45LfOnwwJGSVuASRkel866S/BI2yX9ysWuS81kKAATwAGO+sr3MpAaSXc/wBnf86aWTxZ\nTdGJtUkwbH8xx+taLTatyLgSw3RjKjdht/d31nW2dN31+7Yl45uO4ktmuv0caB53j2rDJIMgaotx\nHvBP6VNTR4zT9C2f0O6P7VgS4tJjLE445wR+Bpe1vo+2H1TxQ3vVXCxFwvWY3d/GtzAj8fuZFsNo\nLGt5FI0L6s53HB3dvCv0Toh9IdtFsaSC42IjSBm6qSOXToOc53d2TwqY47qXLxev2/8ATTtXZXRF\nZdm3Kx3LzCIRXCLINIGTxP4fhX4d0j6R7X6SXr7Tv7iGFpfup6CA+wA1vK9TGrj+rzkklySzm4XW\npwGVv65pXWTSHE15vByMtn+tZ0tZbwz+kvXjJG7f864U1rKSTcScTuIPzqxlmZbmF8x3QGOGG4fG\ntAR3XUJl1Y3nPH41rtPT5CSVAQWLH8TwFSWhkcsgwMjcCa6uRyzxEaVBOfad1SJdxUEjIxuzipo2\n1RyQPHl3Po8ASfKtMQiSXrYg5wQfSJ8q52fCujDtBSpWZD6Z3ZLb+zurr7LuraGbUiFWON5LZP44\nrycvHuWT5VfbFpBLL1sSkrINSgZ3HO8jd7qtBYNKFQidurwqgFs7/wAK54Xxwm2fT9D2NsrZUNil\nve2hdyN5YvkZ/Cl33QfZE7i5sJJYm4lSzsM8q8XF9XcOSy+iV1eh+1tsfR820JNlQu639u1rcJIr\nMHjbiBkZGe8HNeC6TSXy5mubK5jWY7ixfA9mcV7cMrzZy30u9ubJcyLEnXhirKAAS3lWcwQXoaVA\nY9GNQDMNW/3ca9H9l38Ka8tpbhYY4JEIOc62J3/hV7VbcN9bkZiy5OCX8qsl1v8AU0oNoxmZslnR\nhvVixB+FbdkTbOtom1s5eRjp3vlfhTPC446gU5gmlOuR85woBfeO/hWifZs0aJdudSDCtgvn2Z3V\nqWY6gcEtrR9aXMgPAp6Y/pvFTs+9t3umIlk6xDnLFyBj3Cs5fljbYu2x9rM0xRLuQZPHU4yeVYp9\npPG79WXyN+nU+cd43Vyw4p8xlin2y8sJRpZMHO4s/b2cKrYC0GllaTeclcsQeGOyu8wmGPTUdmIx\nyQEdTvbUc6nGfhSptno2JYzIwGA6hn4e/Fct+NK2RbIgiUXC5kBwSgdwfwytdu2azWMPLLLkrjc0\nn/H4iuGfJ5TqJtfVaXIaJQ7Ajt1EH4UyKPZ9kDEqMes3+kWOP/Wsy/6RMDbLE46tZldTuw7Y/SvS\n9Gek1xsO7E6TXDIjYEetgpBHA7vdXTHO77alfu/R7pDZ7Z2Tb7StZ5ITp3gA5BzvBIG+ug89vKNc\nl2x36ckMP6V652663Fpb6IRpEszDG8MGYf0rSNpiGEr1zFsAE9Y2/wCFSrKGv7d0DnXn/Wd3wqP7\nTgQAmSRe/LnyrNtS1p2ff7Ov7sRyzrqA4azv7sbq9pD0MgmWOa6S6jDnACq3x3VdTKdk7E3RrZOy\n9ox5t77TOdJKMdO/s3rmtN5sHZJlWNheqrDOSwIGP9tWa1pXkOklxsfZ0qW9nczyMCetWQbsdnZX\nn/rNmk4kUyFBjIDkf0qWbrNrVYXVvcM6yyOowdJJbAPt3V00GzEXq5ZHy32cZA+IqTHS491mmASU\ngEmMncysSfx3VRhbhNUsr8dwJI/pWMtSperph0u8rFBMcHsLeVev2dsK6ntomW7jBlUMqGUqRn2Y\n3cK3471pn08z0k2lPse5kgJxJGDkrISdXfwrwN3cwyStNJJK8j+kxLNx5UntdqR36xqMSOSODEsT\nju3iu5s3prd7NgeGBxh10s7Ak4xjw1qrbpwbra0VxK0s11K7yE5Otjv9u6kPcQuojMkmAd2WbyqS\nSEmqySmIybmkI7tTeVAlt03sWz/qbyrS+kJ9XkGotJgHhqbypjPE0bMI3Yr93Ld3Zuq/Cbeekvbc\nSPGWk1Hh6TeVbtj7Qt7KBphA8pfKHLNle7sqG3s9hbOuto2cjrDcy2UzDVLgsVk7Ozjx99d9LJrN\nFk2lJLa24UHVOhU6sbsbu3FWa0Nkt22yNnWu1dn7Xvy8m/ShLRr7CMcK6vS3pFshOjsN5tE6r67t\nikc0DtjVjvAqS69j8IluLMXOZ9bAtv8ASbv91drZXSy32WJ7Wz0rbM5+2CWII3jOKz6TT1vSfpvs\nzpbsuz2Rsu0MZgy7tIScsB2bs14C8nScFS7acklVLaQfdjdWp205LS24k0tJJgccFvKpD2bt1alw\nTwOpuPKpayl47dsAq+te3W3lWeWK04Ozt72bH6U2m3PnsbPLdWzjt0628qzOlvENI6wADeNTY/St\n9UfIBMMnoqgBB3Ebs99QmhGx1YIz2iuzi320MCyDTbq6EDiN2f6VpMcB3Jbbj3dmK55e1Z1EayaA\nik8DkcK3WyRhRqiXjv8A3mr8EdNYo2gT+BGyht5PLvrVY2Law0lspGRg5xgA++vPbNVXZR7MJDHJ\naKqxsys2N4HZvzWnV9WmE8NoraTlDk5IHHt315M9Tpl6/Z1zbS24d7OPJA4jP9a3C9tlUGKyjJ4c\nOPxr5nJjMc9IvBeG51LJs2KMndnjnma493sO8lkdnu4ni1FhHKuQPdvr0/Tck4+Tx9yt42Y1hvOj\n+xrmNLe6vLaFyQd6ED3cax7W6LbHsZQ0K9Ykij7QIGOwgg4PbX05ncp0tvk85cwR2t5HG1mpR8ad\nQz8c16CJtmTAQSbPi0gAZUdn4Gpy45darNjHH0c2fFegmON4DkqOB932qvPYbOedjb20CgKTjs/W\ntY55ZaqsezX2bb3RuJ7QMUOAB2Z/GtV3e2Du0sdsq7wQpHH41vLG+WxkvZ7SVfrRtItecHAyCMe+\ns0VxCxEi2seRwAHEe7NaxnQlJYpZGk+pIAe8bhv48ahliKlhGmptwVf+6vU6GXqY0YoLQZGM5GCP\njW+yeEIsMdopIPh7/bmrfW1juRQbNkyq2414AICcfjuNb7aHZduTE1omg8Qw4fGvDy55TqJaZK2y\npY2EdmqMgypU8R+JrGlzZRIRNbqDneMfOsYS61UMtr+zD4gs0AO/hv8A1rpT3aCALPYJjAwxXf8A\nrUy49WbFNLSQCVbGNwp4gbx7eNXh2iiuC9iisuCDp+dejjkvpuP136MulmxrTZU1lNEz3Dy5CKdy\njtPsr9LstobOvYdUUIJ1bwMHG7312x3p1l1BcmBRrNmuB2lfnWK523s/rVgFvFnSCRgdn41Ns7Qd\nu2EMxtjZxlnAZdw3d/bWK5vrWVzJ1Cae7PzpBFpfbJD6ZLSMsx0ghsYPOvUP9MMvRazisZ765lj0\ngQp1moow7N/Zw51bfHtZlrt624+kOfaljZ7QbaRIjkJVm04VwPsn2+ddPZv0k7UlsnlN9B1hY5R4\nEbPtFWZX4a3Hhukm1Ydq7VmvLq2haVz6RVQoOPYK4xls1yPqkf7/ABqY/uxe3pOiG29kWN11F7Zg\nRSg5ZQNx7D+tdSx6S9HV2ur3Noxhyw1bjgdm6lJGbadxsma8kmtIojGTuyBwH41wtrX1rIyQpbRg\nDee79a5Tu9hi9Kdn2eyns12Yj3ROUlBGMe0fOvPx7buxK04do5DuOlyD+tW3UZtYbjaEUmppoA7M\ncljxPM1znl2ew1C0jyeP7zWsJ8pKXPNs5V9Kzjz2Y/7rHPLZyNhbaPB34H/dbjUTHHsyMDVbordn\n7zTmaxOALaJu44+dGoQ7bPBOYIlI4jPzqQLF2B+pRkYz+99AzrLBGA+qIPaP+6ob/ZVk4ItEKv7B\n50t60lcbbcmx3nE0FkiMftKe/v41ntL63EZgjs4gJNzbh3576k9I9d0f6TLsSzkhtpEiEjKSuojO\nO3GcU/af0gpf201vfWy3YlCKHlByoXhjfinwsNi6d2sGzI7KxhjjiBZTG6K2M9obnS7/AGnZP0ft\nofqkMyOztkb9BB+B376dK8Pfm3Vi7WUag7xkcfjWeGawcFms4WGeGPnVZ21W99s+LdHaIMc/1p/9\npWeg/wD1YsE5JxxPOkrUZZZNnvIWe2jGO4cfjSR9QVyTaR49n/dT37Zrap2ePS+ppwxw+dZJ1sWc\ngWcZxx3Y/rSDKyWKDV9TiH799KMlgQyyWUWQMcPnVh6fI5spg7wiB9SNkD2dlWVZM7kbJOCMcCK9\nEu3Gdt6B4oQME6uK47anXdoWZbcMFG/tyK5Za+VULyYErQnOdxI4/jW2C4k9COWIjG/7INWyaI69\npdCRdBtV3D08cDv31s+vwQFoo7bIz6P7zXC434CDtaaKXKxBgTnfvyeddnY+1JrqYxvbqSy+iuME\nEbx28K48nDubHrLP67BbKxtxpxjcOB9u+tI240REc1rliMEgDcedeP6r6e3HcMsVLq9uGQPBDpYc\nGGOHOuHtvpBtBLb7DBgcDAxnka4fSyZWb9sRxdm7YluJJDtXZ5kBGRu3/rXs+jPSLVars64tDNGO\nCyKMDfw419PlxkljU6ds7C2RtI6jsoaiMY7Fz2jfXJuugm07Y9ZZIsiLnBOBj415cPq7jfDkXbE/\nRrpE+JFsVQLxwRv+Ncy72F0kj/8A8LO6Sb8ooO/24O6voY5YZT2rloXtm6uWxkR0JLq4HZ+NY5br\nWpAs1I7+BHxrerbsUiV5x1ZhYb84Izkc6pDO9lcMJbTVp4D9O2t++gT7YYvojg+3u3D51dZyxXTb\nhGHFscfjTx0Ky3U87rEIMkfyjhzroWMktlJIVtgGfAG/s7+NZzm8fEduG6lZyRbjUQN+Bv7s76i8\nvmZGUW2mQHsA3/GvBq+emaVFdXWjAt8A7+zcedImnmkGXtQT27hx516MMPyXTo7JhmZxJHCo7fSU\nYx2438a7SbUuIzoazLKBuwueQzXHlx88tfoutuja7RnlCx/UPRkBByuNXxrPPsi7fVPFasVOPRGN\n3x4Vnjv2b2sum3Yu0n2dPGbexZpc4xp+dfqewdtbS+rCXqWiLeEY57674Z5ZXv01Lt236U7TjiUv\nqZFP3u41+ebb6R3X9tyyJA0TMCNKn0TyNY5crj6LRs/pPcXe0YZbmGSMQhlzn4cfdXRsulNxNflW\ntWaORtKnTwGeOc1ceX1pJk5+2elF/Y3shgg9HWAVK9vYay32073bE8E5tAzEqcHtI/HjXO8tuWk2\n7Y6XbRt9kfVWjLYlLneQwIO/O+v0Dovtx7vZsUnUOS8YOQc4bnXbjylumsa1z3spJY2jE95/7rLb\nXz3bSKtocxnBNdZdLtqjnmMi4tGx3Y+dMaeZG9G1PI+dWEpT7XuI0K/VTv3Z31zrjaN0qnVCzZOV\n3cPjWLO0Zn2jOIgVtsnG/I31njuLtl6x7YjJxuHzqa0lSzbRfI+pgL/TnSJoJwBqtCc9g/7q42Y+\njTJK9zHlHs2wBuyN+/8AGssbzFyTaNu7MfOu0rUMMs7bzZtk/vvqDNdKpZbJiFIzu+dNNOVdzXck\nrPHbNjhw+dXg2vcRx9QLVnI7+z41P5DBt6QkqbI5HaBjHxpNzPcJC04tmZGOc44HnUu0cu42jcTv\n6VmcnuHzpsdxIoX/AOmQR7PnUTbRbXTNOn1i3YLkAkDs9m+urc2yWjZVzNA7MVZRxwN27O7sq9/L\nW3NluZteo2rDfjcuP60qS72lFvS3fTnIx+vGolqs20pZ0Mc1mQOGT386w6rtVZY7Q+j7PnV9p7Uj\ne9LaPqjDPs+dao5Jv7s2TYHH2/GpdfAmZrhX0ixbB9nzqSJmA/8AqsMcN3H41UbbMXLuqCzLFjgD\nHH41a4tb1syw7NleL7zKhIX31W56ciUXaZY2bbjv3fOkSPcNkiyb9/jWuvbNfN97LtLas8drLYJF\nfJlXVWA1ZwQeHxrZa9HreOFv7VgPWkH01mQFT3cMV5c+ScOMmF7+P4cpqPO7Tgjtb0w2lwksXFTk\ncO47uIrBItyRvA08MhhXqwtyxly9hjPdLG0ZbKjBIJB4+3FdfZmwNrX0S3NtGhUggEyqP6Vnk5Me\nLHyyT06A2JtK1MZcRxtPxPWDKt3EUbT2XJs1B193CZsgqqMCrr3g43H2GvPPqZllJjN7Ns8EVzcD\nTDGrtx+0vlXV6PS3C3kcjwRllb0fTXceVazymrN9xdv0m12olyio8MUQG7UjqB+I00bS2BePGZbd\nbZgw1ButTHD/AE1jj5ZzYa+W5fKOHDBtOBzFNaRyKp4B1yPhWmbZzz/YsoX/ANcqf8a+dnPt3crj\nZosbCuiwYWEQ7Dh0/wCNdKw2NeQ+idnwhPEHQEf+tc+Xn/H2zZa6VudpW7GPqo+rO4kSKCp/LWu5\nvdoPCYw0BOMBjIu73+jvrnx23KLhvfauyrzbSyiO5ht1bfpZXTB/9a6U1q13umtLYODqJEijf3/Z\n412+o5fDOXCulvbzu2Oh8N7cdcXWGR+LdYrKw/LXAvfo9ul6z6rLDcvneBIi5yN3ZXs4fq9yW+jb\nlXnQ7pJZR6hs9hkZB1I3ZwO7d215x1v4J2+swIHGQclfKvocfJhyTpY58tvedYZwkQQ79zr5VoWe\n7kUIFUkbx6a+VduhstluhllgjLZxjUv/ABroNszaqlbiXqgf/wCVN3v3VxzzxxuqLB9oPpWIRgj7\nXpqMfCqyvtEv/EWLGfEvlWdY718lPsBtC5ZrYwxnHpHDpnH5a7MtlHHD/Ct49WM75k3/APrXPPLx\nykxGfrNpxwiFUj3HxpkezhWi1G3GhZ7e2RlB9IiRTj/1q5TCTda6dKC/v4odDW0esHSR1i5z3/Zr\ns7PtOkQmDPapoYZZS6Zx7tO+vHz58fFPzvtm2RoiiEF6skccKyDBOJEAGD/pyDXUO39p2+0Y5Lbq\n3jkbDfxEOk54H0axhyaxnZLp3j0iW7ikt9dqHIxpd1IxjhkLXhNqNtCG6/jRxBHOQRIpA/8AWt/e\nmdkpvbRbyXP1Zp1WGQ6PSPWoN47vRp2x9qXUL9cRDuBB1SICCe/0eNLZLKMW0r2/vLiR5I4s54iR\nPS357u6tlhtK/ii0xpA/aG6xP+Nc77RlbaG0pInjKxHLnURKpxnt+zX6V9Gu0L+BBCwiJLeiesXB\n3e6u3BJMttY+3rttbSvEuJIytuEMWtcSpx7fu8a5PQ64vbkXMrhN76SWlUjP5a9XlutW9vSfWJ4V\n1MId3dIv/Gsk17tJz6FvHj2yL/xrXkFPNfBciOHV/rX/AI1idr6VjlI/b6a/8axalJlN1oxII928\nYkXf/wCtKN5f41dXFnsxIu7/ANaTtFkuNpOvWAQgDdkyD/jUtfXaJpWKGR+8SLn/APGln6KxXjbV\nlZXeGP2DrF/41mH9pRqXMUPv6xd3/rW8bNaXEtrm+wf4cWf9a/8AGtezhcznTPDCI8ZZusXcO/hX\nX017c/awnglaOy6iVMbz1i8fy1xRLepxjhDNx/iL/wAazoPgguHXVIsPeD1i/wDGoae9iUxhItJO\n4dav/GpaemMpfE61hh3f5i/8agG91FpIos8QOsX/AI1ds+j4BfMAzRQ+zEi/8a6AlvQFDJEf967x\n+Ws/KxMz3MkYPVQ6ieGtf+NIe5ulIjMUTZx99f8AjVXemeeG5lJeGGL2jrF3f+tJljv1RX6mLLcf\n4i/8au9oqv8AaHbDCf8A/Yv/ABp6veIPSgiyBw6xf+NTQcGvnj1LDD7f4i/8agLehvRSHB3H01/4\n03orbZ2u05WQKsKjsPWLvP5a2y7RvNnCS3ieNjIAN0gAU9/2eNal+UcO+m2o8sjyRwuW3lta7/b9\nmueZNoFsGKHfu+2v/Grpdvnq0u9laBMzTfWXGhpGc+ie9cct+ajau1BFGIra5jnWQFdJO9CO/fXl\nvFllnJl6cr+zzqW3p5MmXJ3EnGDWuONsAMw9I8c9vvr15U00LYmeWNguohtOlTvYe7vr0C3z2tsl\nrbaYMPgHVg59pFeH6j+prGs1rtpr5yULI3a0h3jPfk0jbuyZLqCCUuzTM4RHX7JB7DXlwyx4+SXF\nHP2fsraMdyIyjxlsJqwRvO8V1otj3di5lZ8EkjecHOa9HJzYb1Plp27Z7i3hYyEYHbqI31otds3c\nbnVL/DOM5Y4NY4sZPyi4zXbt20sW0Xy1wBJg6VVtzb+FLurC5icn6wVQ97HOa1nwzlx8vlrx3NnW\nMLn0ZrxNWdwMh866Us0NpBrurlVVd25sV8zKXPk8Ix8uE/SK2iZxDI5AbiWOFJ3bzndXR2dtK12p\niAEhsfaMgO/39te36j6a/bnjdWL49OzFs6RGDrdaO3e279ax38m1klH1O4ikAI1aX314/p88eS/n\nEx/dK3dzNGIrlvTPYzY5VNvaRhmS2uxHIxyVLkH9a7W48Muu5+jW5PTpRC6jTq5bqP0TxZuPxrkb\nfsNmXMatfWglLnjGRkDvzmn0+Uy5JeOk7vTz1/8AR1s27sxJsfaRjdz6Ucrbj3b+w1hXoRc7KULd\nQa8YYOrbyPKvp5c98bL7WxncW9sjNBiNjneW35rKl5K4ZGdWB7Q3H21zw48s+8vbMn6otbdDE5a5\nUytnTljTbPYk9ypkuLtI87gNfEVrLk8LbYfPbrWnR26YMVv4yHG4BiCeNMj2FchSHlG4/ZZt/Ptr\nlOfG2/CyulH0eihljubi5Gg51Bm3j48K1ptHZ+zpIYVaMROdOdW4e04PA+2vmc/PyfU5+GHqMXLZ\n8ssOorG0OhhkSdZnv3ac1MV7eMVD3McJG8elkkc93CuGfHeXXn2SWs42jNJePa7X6qUZAimUkEnH\nDPGqXFnMLhZVmJU79znP616ODL7d8N9LL8NbrcRJ1kU6BhvXrCN+OzeffXOu7uW5PVSTIQx3gnGh\nvfXp45jbtYzNNLZFEEwVN6n08/GkwTCJ2YXC6ZN2GfcR7a6X1uIW08quQLkADByW5dtOtbk9X/Du\nQoHEatw9nGtXDc3F02W7kSZadF1kZ9Lh8a9Z0X2k1rMshmRVQkbmz2bu2pLOO7pOm6+23PJPLcy3\naAlNDFTuxzrsdEdqNbWcr9ahjIL51kf1rrhyeVa3tsk6VWbXCr9aHprq+1nlvq83SPTcpBDMhTGG\nYPwPOtTmmXoldC3uA0f8S4BJ4el86RtCWTQOrnVQDvw3zrtJ20z20Uspb/7II3ZJbh8au6dS+o3K\nlcb9Lbz8amV70ynKTgyC4CoucAHt51mSfUxHWooXtHdzpqhV9fGGEk3AUMMKNWcnnXLt72VzhbnU\nvaA3zqTW25NJlmC72nBB4el86zPdz+mi3mlTuwGP6ZrvvpSWjugmXuQVG7IY+dZWSVjlpxj/AFfO\ngfHBMBvnUezV86JYjr1Nc5x/N86W9iJFcY1XSgnsDfOs8kc0j5Ey479Xzpr5qLgyImnrlJA46vnT\nIzLJvW4w3+r51NEbQsjINUylhjHpbv1pUkTbx9YXV2gn51AvqZUOoXGO0el86akRZSRMpxwy3zoe\ngYE6tle6RG4qQfnWYW880ioJgSTjc3zrXqFb5tlzW6oTc8Fyd/zpUgZV1C4Xu44z8azLtP4MheeO\nBo45Vyd+8/Oskn1r7T3ALH+b50x0kVaa9Y6ZLldJAXed2OdUtrB7mZlFzGugZwW4+zjXaTrofKzx\nydXk5G/BBJ3HlXS2bsO7lQSNZyShskEA+VZ5M5jjuudJubcWkoa4jcHO7edw5VXq4mkQRsZFON4J\nJHwrPlvVi7etgWO2RA0X2d8a5YYOO1gKzbQ2VNg3DSJpY53MSN/bwr5czk5PKsfJsb29nbK5llXS\nd/2hk/gDurZs7pLCkQtpNMjAZABdjn3YrGfFlyS3XyOlLtizXOvMcbhX05bK+7dXTt9p2VwirFD1\n8iggszPjHcRgZ4148uHKTY3XD7N2krRMJfS0s5Rm05A4cN3GvNbes47eGJtn9fMrZdsh8gAj2cN9\nej6TluGU476blR0bv1km1F5dPYod/Kv0TZclptW0a2uUkEyjAYlju5bq+lhZjy3C/Lpj1XMurFLG\nciUsyoc51P5Uq/so9oxMC7BDww77/hXj+pwvFyTOM5TV28zd9FpIQ08Ukp1bmGXzjlW3YUH1CdHl\njbAO/wBN8/p7K9X3sc8NX2sv6vcw3FqYjJpm0nuZ93wpXUWkbNIgdgxyN7gj3bq+Jrwy6ctdt0cd\nrOoErM2QCpJbUPhUPBYJICNZdeB1Pn9K4cfLlc/G9J7qsgtdBmBbHA5d/KvLbc2zYwuAbWQlOGZH\nUH/1r6f0XHfOfs1jO3Fj2rA1xLcyM2hV1BI53I+Irr9HOkK3Eix9VO8TMQdbMQDx3HGeFfS5cZcO\n269Q+xuju0UInsnUsPtB23/jiud/8S2Ds4SSW0sxJO7IZ9Ps4V8/g+ty8vCszLtxYeiNjbXTTiXr\nFY53M4Cg+zFNOztnB5FlkeReOAGBGPwr0cvJblu+mrNU0x2CIJYg6svHLMPx4UqK8jnDktJrVtx1\nvu9+6uEnlN1G2H6gRqknZgSAVZnwPduriXbWlnfdVI8rrLuUDXu+G/5Vy48LllemdbMvb6wtWAZW\nMvEek43ezd8KzDaVnOdTaiVGR6bg47Qd1d8OK3HyqwLfWUcjX0fXtg7lLNg7u7GR8q6+ztrX99AZ\nljCKQSMswP4bv6V5fqeGT8s6xlNOqt1YXdp1L3cjMxK+kG3H8vt765F1AbeV4Sr5IGGDNhvbwrn9\nFl45Xjymv0XGuVeTQxtkBtLdpZ+P5abbvZfWEcs4jYZJ1P8AHdX0csbrprsy8Fg8z9S7tr3gelwH\nuHurJF1K28ke8kMDgs4OM8Ru31vituPaztrXqEeNv4mPCHY4+Fdm2ltZAXgaYL4VL/pipyTqWoaL\nq2WItcdYCTwYvv8AhXUtru0TZE0EZcDAUgu4OM9m6rxbkqxyIY9Myzi4kIT7K6n3Z791ehtJbFcS\nBHL4GdTtuPKs33snT1GwLq3mtdN0GZ1Y4bLcO7hW+RtnyOYiHyR2s3lXoxvSrdVZQQp6Ehz90O3H\n34qrnZ7RsJ7eRV472byrXYSi7OVdSiURk8dTY93Cs5Gz5HKZZFB46m4cq137Vzdtps5IwEMrBT42\n3e3hXHtWtDNpj1687su/6Yqeq01ydTGwlu0Ij4D02wN/sFLmjt3kPVJIAcENrbnwrflLU3IlYleN\nohLq4HAZsj4VIsrTBzMytjdkvgnuzirjnL1CVSE2YyZQ5ZewM3DlSgbMs25wD/M3lWlR1NpIc65M\nA7vSbyqwht1UFWfAOMam8qGlTHaht2v3Et5UwJbIc4kX3M3lSk6WHUA5UykH+ZvKmqltqG9xk4yS\n3lUNn32ylt1jkm6wdYuVw7cOVZLKO3JeN2kAB8TeVPhi2um+zLF016yjAbvSbyro7I2fs/RJITqI\nbGdTY/SuOWdssh5bZ9uxRGQdRqK6cYDNuPKuXDZpO6RrG5cEnBZvKuuGtNSbMm2ZJGx6yGWPtOou\nN/5aXbbOTW3XJIynudvKkynonvVajbWCw9W0RJx2u3lWG0sbZbvSTIqtwOpj/Stb01dPwgbB2dOI\n2ghR1Iw8cq6SccOB+J31aaKTZFurRW4CoRIrDeAO4768GXLc+snC1y9r7Oh2wpu7C1UvI2XUfj7c\nVk2Vs2C0cSywLqBIKsMBPxzvrf3vHjvH8xnbZcXFlbzAi2RRngucZ78ZrGLiIbyw6qRiDuPonnWO\nPG63e0jPNtG2XVD1SsNIVyF+0B7uGKWJLF5JnitgVkZQpH2l3d2a644ZSb/58K3Q3QtWUSiKVcaQ\nSAwJxwO/d+NbrXaFvAVdLRIjhQWA3Hfx47q458e7uf8AhGue/t9nlHEJ1uTuZSUkTv48a12G2baN\nn+tWatFIMpoBwPj8K4XjvJh5fKlzwxC7N5aQRGMtncoBxntAOMivVbB2godZDax5XG8L3fjXTPOz\nHHKe415PT3dvYbQsTPFbxbwTgLvU+3fXEX6sV0C2Qld3pDG8d++vXzzyxld7PKGyfVHi1GyiDjGR\njIIx3Z3VaGz2ZdIpFlEhHYF3frXhu/HbNxuj4Ta2zaY7IDdg4Aw3t40yK5habQLaLDH7LLgcs1w5\ncLnjuTtjKS+m7/8ASIoGeK2gBXiq7sH3ZrkLfQrdF5tnxuCcagpGRzrz/S45W5XL2xjN9uss2z2j\nAa1TBO/I+dc3aewNi7SQu1ug9+7+tbmXJwckzx/8L3jdvLXPQu1Sf+Bar1bHuzj403Z3RmTZlyGi\ngU93v517eT67HKa+Kxlnp63ZkAtLcLcWsTbySRuznfwzRtLalnbRpps4lVsEErkj415PsZZZTP4a\nk24Mu0tnzXDstqiuVxqBwCPdn2VzLy8gUBPq1uG7PRzn417cd29tssG0EjkKG0jKgDcV4fGtK3Oy\ng5mNmCzcQBw92+uvhe7Bhmv7IS9Wlsmhs4DJx9vGk3Li6hjNvbR60OS2MekPxreOHh3RnaSMKdVq\nuobmUpkKfxNTs6GHrWxbJk703dvPjXW6mNUudofrGl7OIDV2DcfbxroNtCCIpNb2cCMq8AMZ78b/\nAMa8v1GHlpzzL/ti3Z43jhiR0fIGPtA9+/fXpdnX2zb63Fpf2sKyZ9CSMeljG4ZJ39leTm48uPVx\n9xj04N3PZB2U2MZx6OcbiR7c1Fs9oQoSzVUI7QcfrXvky8dujXb3OzUlQ/UIg6jSSF3H41d4YHil\n02KAKxYEggADfgb6n9t3VTZpBcSAi1iJXdv3ZHdxrsttHZ9jGDBsh0duLhPs7u3ef2K4/VS5aw9J\na2NebN2pZPH1ETTBdQLJjJA4ZyPZWWFbU2wWWzQaxvJHAjO7jXHhzuM8L8ErTDLs0xtC2z48jd9n\neD38ffWyFbN8M8UK4xkH5GvVllddtvSbJvLCBTps4jgZG/JB7+NSm07RrlibZA2QSP2a1xcsy3P0\nI2Pc2lwQfq6KU+17PjXQZrI22ua3iKgc/jXfHOZ9T4a6vTF/aFjGGxZwiNR3ZAHOvObd6RWxfqY7\nCNEXjpXieztpn31Eyc2XbFpLZmWXZ0chLEEAYPDs30ue72daJBcw2sR61NQJ9+4cazN6TfR820bW\nS3jM9pE5K5GMD+vurNc7StVgC28Uecbsj7PYd+a5/ltnbm2l/EkxIij9I4Y4+dd3Z+0bBgsE9vES\n284Hfn2103ce1nTpNb7PXDraRYYZJ7hzpkWz7PQZpLOMADI9H513xss238bLdbJQUSzhI93D40tP\nqJGhrBMntx8618KYqWC4DbPh9IY1Hs+NP+q7Lls+taGISK+koccMHBG/2fGpuJPa0UOzooDKttb5\nBwVPHH6GkzT2BcKLGMZ7R/3VnZak/VZWVEgQ53DP/dB+o25J+pRFs7j+zU38Moe6s5QNdrGSO/8A\n7p8d/bWeho7aNQwJIA3frWfCa0kgW6il1OLWM57u341+kfRL0KtulG1Yb++2esdlA/pymM4yPu57\nKlx16bxfVK7E6D31vHb3Wytl3IVQg1xoxx+NcfbX0Z9AXlU2nQTZlwpHpEAIw92KvhNNfy8J0j+j\nPorDcrHF0Ls0iI/iLJgsPaCDXitt9Efo12M4lk2fJFDkggoCU7u3fxrOvy0V8YTyzWMKSwRDRJvw\nQN2aou15ppWhNr/Df0FVxu93fXj8JljtxvRCXfoFBbAlcoSBjHuOawXb6sL1BwMjI3b8+w1zmNxr\nGnDubiVpzrjdsDdw4iiV7hoTL6KoCO4E/GvZ4ySbNEMOvHVsAmN+QuA49pzx409IRDC7S2zKmsbw\nctpP41c7ZNRayQs8VyOqiYpxw4B+HaK6st9c26CKbZ8aaxiNlXAYc8VOXGZWbqV2LS9jvLNILi0V\ndIBDIBkNn2nhiu5ZRAqJmtQ6sNxAwc868OcvHbDRsoSCbMNsGjcAkAA8R799bdmCZyCbSRe0BR86\nsxuWG2pOnsNgvcN1tq8MoDLkaRjfzrFdWd5aXrBrSRgxyMpu/HfXtt/ozbtL1CpLaWQqURtWCWXG\nDyzQhkC5todLjjqG444jOa8kts06S9FXlzfpgGAxAZOSNxzxHGssEdxM7yLbMVGCV4/iN9bkmEcp\njI1QwarkNBBKGBw3d+O+tpSe3kbqrJtTbs4yOPdmuGUsu2bNVqCXixl2twcYyQu79arLcSINJsGO\nd+dOR+tcJLlZtn2WZn0tIbRlC7vs/Z9xzVTtYYwkXWkDcunfu/Gtf9vMy4ysd5traEluEWHQ+Rq9\nH7Pxrh320p2ixLa9ZkYbA+IGa9dm/S/DlIJ4kLvEIy2TggHPx+FYbjaE1zMB9WOUG8aRx9m+u2GP\nld/oIF5LO2qOzIz++GaGu5kXRJAAw3gaePu312mOuguCW8vbgItmzaRw050jPHjW2Se7t4Gjl2cw\nYZwQvf8AjupZNybVNhcxy5ju7XUfRIOMfqa15gMxIh6krnBA05H9DXm5POZdekt76craE17Dd5lt\nw7AAhtI37u3fvrnyXV87EfV9KtuAxkb+zjXonHjZMqlkvZUQmjmAaAOvDOOB516XZt5PbQECyOS2\nd65492/dXD6nHzxjGRu15kl0yJG3WYUkaBpYY9+41yku9oE6Y7Q6FODgDBB4dtX6eW8X5/C4+nb2\nXFIha5uLSTWpBXQARu9ucd26u19fMscg0qUAOUZBjB4438a8fNl559fBb2zM9hHCwggYlWByCNQz\n2farnnbt5byu01sWiPoaRggg/jVmOXPNZl7Xj27NsoIlvaOYW9JNShiO8Hf766uy7u8u4HumjeSN\n9zL93hnHH40y4ph/U+aRog2kCdBtOrGr0R4fxzSZtp3q3DW0kCIrb1cpu5g99dMsddVp6GyuL6GA\nRy2qyE/aKHBwRu4mtlrtaabVE1uxDLhMgZ1DsG+vDnfK+UqIh2rK04RYLhZWJUApuQj8a9XsLZXS\nnpUZtl7E2LcbQuIITPLHCuWEakAsRnvIH4ivT9PbMtT3Wsaz7b6MdOdnbHsrubondLb7Wia4tZYV\nWdZUXGogoxxjUuQcEZ4V+cbVl2ko6+fZsy28gPVvoOG08cZO/B3buFe3CZX+4aLVZLqDMFjxjBUN\n94tkZ494p15Z3E0tnazWGEt4CXA4AZPt47q1pXK2heyzyLHBYyrHHuXdvI50trmcq8CWnFWGGAGf\njSxms+y7iRlmL7OJc9mOB92a6NrLN1Wr6ppbOdw+z8auco9Hsnal1M5ia0bJU+j7edeustowx7Lu\ntnTbLRpJwpWY7imDvA343+2mGUxnbeN04twhA1Q2RI4knt+NIJuAgxabwN2Rv/Wuszlx3V305t/t\nO7h1RG1IyNwAx/WnWl1PO4V7RzlQcgd341wucmW2N9tc1yYmEbQMCRkHH676Wjm4KyR25IHEEbx8\na6Y80l0bME1xGQBYtpXfnT86vLNcSKcWHpMc/Z+dddbanp6Ww+i7pxtfZ8e1LLYRkilGQuQG9+Ca\npedAOmtgirL0WuSQMEBQ2ORqeUvSzHodHuhvSfaW24NmS7Au4Osb0i8LABe019odAujdl0X6N2mz\n7WxZAEDPqX0ixG/Ptq9Wkmundmg6zS31NNLHfqXjURbO2b1hJtEVgOzdv51pqe3jPpC2jZ9G9mzb\nRltpmXBGkStgns7a+a4elvSK/vnVbcvFLISBJCHAHuNSSSbTLGb8q+SLy0u7SYpEMwjgXkUgNxwD\nisMbXzyPFDboS5BAJG74V4ZZcd1xvZE/1zZ5ZLrQGJzpLDJz28K57yXjICeqCnJBOMn4V1xmOX5Q\nYZE2hIRoRGJyc5HDlS763u45FeRU9LGV1jd8K9E1uBdublQAkeoZywyvAfhWiW+u+vMU0sfVlc5B\nBHu4VnLGZXsamgklhWdo45owowylQVPdw30+INcW8ds0K7jlCWHbu7q5zVn8JA5mgBiEcShG3FXX\ny316LZ22JlK9ZFCT3gqAfb9muPPxzOD0VjdW9/EZ1tYEYDSw1KNQ92mtv1eaBQqhCjt6KrKm4e4r\n768eFyxv263j+ju7Ma7slNxFb6xjcBIm8e4jfS9p7QmluVmt3t1Zl0P/ABUBODwI07q9PLyf0vFv\nK6mnPu75InCvNF1pI9FZEJHt+zin2s+0m0zNZW6owOpSyE5z2nTuFeTyuU36ZmW2qaCW8RoZLOI7\nsZEqEKe/hXDvNjbWjYvZmLGN561AAPxWuvDyY49ZZbjWLLbf/JNny5meCRFwWxNGcj3Y9/ZXora8\nuWAcCLq3XIJkQ6T+WumVwz7xbl8j1edmZ0eEvp3r1if8amPaF3uga0gJ+y38RMez7vurzZ4b/Hbn\nf0aQ03VkCO3AfcUMqf8AGuPcSSRo+bGBTwLCVc+/7NTjwsttumdPOzNJDMZGWIEnBAkQA+37NYb2\n9vHcuUjwv+Ym/tHZXqwx8r5I5VztG5lj0tHDkHIy6D/+tc+W5nUEHqtXYda+Ve7jw10pkEt0W1fw\niGUcGXyrai3E4OIIsouCS6dvbjTVz1j2N8QurdVcJCqnAYiVBv8Ay99ZLm6vZLkLEFJkXIBkUavh\nXHCS3ZItPbbQ6uMvbRhh/Om72bxRbw3AlV7lYyrEZAkTP6Vrylx6BtOCaRetingc71x1iDgOG9a5\n5S7a3MqrFlCM4kUHHKmOUmEliVVTtEgE6GySGAZN44+GulaXU40O0KegPSBkU47vu1y5ZjZ+LF/Z\nG0GaK4VkVMSDJXWuVOe/Fb9mQuuu8VYo8YPpupHH3bqznbjxG+ma92tdbSf6nbFBIzlQnWIq4/KB\nTLLrYbZZGEUc0bHKsysrdnYuR+m+sTD7eHj8npriubyW6ljgtLdzImohXjOMbj92st9bA/x8xggZ\nbRImc7s7itTD8MtShMO0L+QQxEQsgBA1SLy4V29nbS2jYSJHALZteDoZ0wR79O7jWuTixuNx/Vdd\nOi2yr6a7N2EtkEx1GLrI854+jha1XMkOz4ywtLeTUArAyqd/uK7q8t5byawlX2419ta7uJi9u6xx\nAaQTIuB+IXd21XZG0L5GYPFFKUI0MHUZ9+7jXox4vw18j6V+g76MrbpDsH/562z9hdNbkCWO76Nr\nffV7m1j1YEwZcBnIyQCMbxhi24fuXQ36YfoQ6J7Ol2TDsqTo3fbFgfXZXtni7OMlkDgEsxPYxBOR\nXbiuH0+UmU9+r/6v7r6fjH0a/wDk0vQTbnSLZttsi7vei11fy3GybaaVIZbQPISBj0gFIO8ZO9QR\njLV7Lo1032P9P30vbP6OX3R2ytOhuyrW7uoNmXvU4vbt1Ku7xjKs2ZWZQCSMM3HNduP6jG2cX/NK\n/KfpN/8AHP6Qvo92xcRbE2Uds7Nuusu7Z9nW8ji0jDDUjroYqBkbySMYOc5r8c2pd7Vlv3t4epMU\nQA3Sqefo5q3G43VVgU7SEhKiHDAFgZYxp+FfuX0A7d2HtWHavRPpB9FXRXaUmx9hbQ2ul/dwCS4m\nliwyI5O7R6WN3YBV4/HyY2T0P2BZfTD0a+kbaUPRnoh0Vv4W2GLBmmS2tLMFphLokYNoMgQZ7zXt\nNi/RbsTo+foj2TtfZ/Rna1xtTbG0ItpXNjLHcw3kQIKKXCjrNIOMdhzW/GZay/57VxvpV/tTYnRq\ndz0d+iC1R7pYI5ujc+q/TeWG4kgKdOG3duK5XRDZh2v9CfTTbU2zLSXadrebNjtrhtGqJXkYOFbG\n7I415+Xxxv5fpfX8CfoT6I3fSvpxabL2zaJPsuwjfaW0BGRJqt4t5XSFydTFUwN/pV+m7U6IdGNn\n/Sn0W2jc9F7az6M9PbNrf6hdQKrbPu2QIVRWXcyy9Wc7vttjdU4PG8fl+67cpPoPtYfom21sHamz\nbZunkrXu07AgLr+r2UyROikrnD/xCABvyD2Vs6N9DNi7O+kuH6PrXobsbaN50d6FSS3kdzHGUuts\nMqSZkJxkDUqgkjAJ3iumGGNkn8f7hHSHorbybG6N3P0g/R70X6LdJbvpLZ29pZ7KuI3S+sWdetLx\nq8i6RnGdR7t2d9/pc2XddHbPpJBsror9D0OzbZ5IIBBLp2tGhfSCEBwJRkEjGBg7qvh4y9Tf/PSO\nr04+i/o/tm52LcdB7G1i2rse32dPtvZCIqi6s5QpNyqgHUVJYN7N5xu1YdsbH6KdB4ul/T2Tojsv\nassHSyXYGzLC4I+p2iqhkMjouM7twU8MDhnNdZrHdX0/Rfow+keHpj0qt9nWnRrYVksGzJpZkjP8\nB5gMq2k/YUcOJ7Tnu3dKPpK29sS2tY9p9HOhF6lw7Bf7Iu9bLgcGznAOfhW5cbjvTc7dzorNsjal\npbbWm2Da2Nyz6VRXDFTjvwK9LtXaMOzLYXd0sKoCADqHlWMda3D+XGv+lVnNdLZ29/adaQG0GUA4\nIyMbq4V7e9I02hBHDtKAM+oquBw7Qd1Ll+jWNk9vzH6a+lW09ptB0cj6g6GBmIZQC/KvGWOyb7ZO\nyS6PFrY5y0ilR+GmrvuQz6xfLTX7JF9XuAnVTHCktknsO+uObC7iEqwXccjJkLluziBmvkSeG7fT\nhpw725kvWEU82k2+cseIbu9tYBDNM3VpIMduWI3V9Hi1jNK3sYraAqVAbT9osTXLv3BVWNzneNwO\nRirjd1C7VgGVRhkc4PZyrHcwk3Dxq4EefRGeAzW8ZrIkbrVjHE1vHOMn0sFuGK0m7L6IXYhUGARn\nK1jOS3oqYlnuXVFl0tvIJbee351rs0uLWUI0546lIbHH98K5Z2a8Su/sedmlPWhXQjR6LEEdmOOe\n6vb7L2b9YKK05EGkHX1nH4158MZeTv01h7dHaFxZi3bZ8W0EZl3EiQD9TXh9rSXEsirLdEP9lCzk\nEgf0rPPyY5ZTRndutbWclpAs07sVx6TM+SD3/wDdMh2nHGhiuL1VRmwml8EbvfXkt8p0kuoi7inW\nETWN0szZ0v8Axclfw7qrHeyyOBPLCZI/SyzbyP1qccmc8p8J37ajHY3cGq6uEj0bxh9w7u2n2n1K\nYLHHfDIXHondiuv3rOpOm8eSxhuNsJaTLEbxWUNp9I7x2cc1puNoW3V9ZFcq2pchVff8a3J/qsSZ\nduTtLpBFHCnV3X8Qgahq7qwR3c5uTKLpy0gz6UnAdvbvpcbe6zllbdl3knWrqmmUkHdhu7v31w55\nzJqxcKoJ8e+vZwzpYw3asuQ0xwRkMH3GlWtpLdpqEwG/f6XZvr2S6m1Mb63aEE40HB3HKmuhbXcs\nimQsvDP2jk/Gs5Y45TY0Jd6fR1nSwwVL/j31uttmiR1uGuNCD00Affjt353V5+S/ai+mPaS3McrL\nFPqiG8Zkzk+/vrPbSTO62zS+ln0SDvxXTGY3DY68XRcz6n/tKNgd+dRyQd/fxrmy7Me29IztrOSq\nkkZ7xv4158fqfO+GtMW7Lti5fBYrncDnG/j316rZWyYJpgZVLFwp1ZOOO/PbXn+syvFjuVnKKba6\nLIJjdxXkfVMCSue32b++uS+soUW7XGnTgkgDurH0/NOfjlynpN9PPFupugoYas4PpnG4114tqfXD\n1EkkO8kFjnd2YyDXu5MPOTJfZ1gQblhayrGYn9J2c6VGO8e0U2S+WzlmYyxNI2W1JIcHPZ8fhXHL\nG55+PyMNjbvd4OpFVBksX05Ga78FsrvG1qSjp94nif091dOTLV1vqe2mlorm6mDptEIAcMzyAEY9\n5rnKTcbTktn2oMqNOW9Idx3Z99c8cZ8TuQ0amw7iOVRDfRurDDjVXV2LsW6utoWmyrS4TrLqVIY1\naXSNTEAAnPDJFbucy+PavvT6EujMX0A9A7q2+kvaPRfY0lxctci7W+w8qkAaHLquSpG4KWHpcAeP\n4h/5RfSh0H6fbY2PN0I2nDets+OYXVwtoYjISV0KJGAZ1GG3YwOIJzXfm1hw/bvtX4nJtIXEWqQx\n6yMa88fjWrZu0Lqyliv7G7EVxaussLoxDK4OQcjgcivDhhMJrZH1l9Buy+nP0vbDTpbt/wCmTpJF\nb2ty9rJY2EhgYuoDDVLvBGHXcFzg4yK+aPpu6ObP6KfShtvZPRzZF9sm2gdVa2vrnrpNRQEvq1MS\nHBDjLE+l3YFfRneEyyvtY/Ndo9cH0G9VmAA3EjAr0fQXpf0m+juTaO2LDZ0Vyu1tl3WyGmuC5j0T\nABmUgjLDAx2VJZE0TsvpXtvZPRPbvQYWcbQ9KXsZJXl19an1eR3Tq94GGMhzkHgK9LsD6Uul3RS2\n6FbHj2NaOehe0Lm8tY5hIJJpJ2yUkGreB2BQDWpnMekjdtz6QrHpjs+86M2v0XdF9kXFw6k3dmJ+\nvjIkDNjXIQCcFTkdprudEvpQf6Pdk7V6HXfR/ZW17fabwSTQbQ63GqLJX7Lrjjn8BXz/AKjmk5JJ\nP8fyO1bfS7fQbOv4+huwdl9GLjaiQRTzbIkmjm0xOzqEYyEqWLANj7QAFc/a/wBJHTvafRZejvSS\nebaUsF+u07O7vZZXvLeQLpCozNnScfZPA7xXmn1WVtnqetf+/wCRquP/ACE6e7S+kWw+kTaWxo7W\n82VALdEWKUW5i0sGDZbODrYnfxPsrFs7pxt226WdIul1nc2u0do9JbS9tpUfUVRbjBbRhtxXGADk\nACu15uTgz7m93f8A9L6cqy+kzpBb7E2H0T2jsqzu5Ojm1kv9mT3JcT22HVmgBDb4mZd6kbuw7hjv\n9NvpFm25LtAbW+ijo3a7U2url72JLj6x1j/4i5kILZ9hGa9X38b+N72M8f0s9OrjpzZdPdlwQ297\nsq3gstEMTtHJHGmkpICSTqG5hn2jBAIu/wBMfSbZm0+kF9tPo3szaWzekV0b3aWyL2B2t9bHIkQ6\ntUbA7g2e7cSARJzZTLWukbNg/wDkBtmz29abc2X0O6PWNhZ2kuzY7G2tmSHRLvbrHDa3bjxPaTje\nSfSz/SHbbUsLWaLoZsXY8cNwJPrFmJQZMBhoy7kYJOfetd/Pc1prF6ex+kO5uIrWSOG4ilE2WIUs\nJFwCOHfv+FJ6a/S0+1Npy7IkkVLG2A6t9WGBx279+fbmp5anTb84/wDke0F2kWXaRljBDBg54d28\n9lenH0iXDWsd498ouLYMqsJDkj3576xMtI83b7U2jtnawvbmVJi7H7/HP410+kO247CxfO4wsI3Q\nPv8Aia9HHfK7XLuPkl7rZ80cluRL1RwURnYgHG45xurni4ntA91BqnTToddTEe+vFjOvHP5cPbDi\nCZmlkXLO2QpLZ93CoaS1UlIEIG/fqbeDx7K6WZb1PS3vou4kWVQWlfduKZbf7t1crqot4IbcTxJ8\nq78SxeKFAQAWwDwy3HlReWsiMJjGVUkb8sRg103JdDOjtGGZASR6OSSc/CtdiuuRMB5M7yoLcuFT\nKfI9VszY0AaF3uFiZiQY5OsypH+330oiKOeW3wcHIYEvu7MjdXg+793eOk3uO/sC12YGRS5zjLAa\nic8O6vUz3NlDbAW1xPmUelEzuM+70cj/AKrGWscbb7anUedv5UWFh1ZGF9Fwzkgj2kfGuI16ku0o\nZblpNKHIyzbvhXn4p5dub0sc0G0UDK5I7VDtjd3jHGsQsdlS9ba3M0+ojUuljhRy9nsrGGdwlxk7\nb+Drc29hC1tJqdFOCzu2WHt3fpXQsk2BukMM2reFVGdgwx3441q3KTeHysKvplaXqLMYifeY5I2y\nvv8AR31Fv/ZFkC0lxL1w36ULADPcNNdsMPHGdd1PTgXMSzMszF9AkOQxbI+FU2i1qGUQSOwwM4Zx\n/SvZx476axjJHon0JpZmIOASwJ+FIS2uJrlglvLHJH9lSzrv7hu9tT8cbZWddtj7PuJmEUyywOVy\nAXbj+I99cuTZ9wJxAIXV3yFLFgM92cYq8XLh6ibb4ui08gDyZ7NzM6/qK6Nv0b2cVeRmnjdQcR6m\nJVu/OMEZrPJ9VJPxPJF/sOSItKNUisv8xx7xjupRSxh0rb6g2MOCGBxv3/Z47/0rnjy/dk8f8ku2\nURW0btqMrSbicagCM8eHdTTcwsNBlfSCdILOMezhXo15aa9sl9LZRQiO3mkZt+rLvv8Ahw3fGqWJ\nUlZf4jBRxDNnt9nCulv9O7W+nUt9oJChYI7uCSfSfhkeysW09oQSnMfWEZyF1ucHOT2bvwrz8fFr\nLbMlX2XFBPNHaywPl8MjlnH9O2vZW89jZr1NyJo1TepLOuWGNx3do91eD/qW7+OP8s5/s1my2TtK\nxkktpGRm/iKvWOpJPHGQd1eP29DBa3CwpCV1KC2Hcjuzw3V5/oc8/O8ebMeUNq31go/WJpOeL549\nm6r6Yo1Yo7k792p/Kv0G9+mobbyQFyWaRWPaWbf8K33D28wD4JkAA3azn4Viy+cq/LTsyaLqmhYT\nBncdr6R3cBkV344BDGrrOWAyzxgvnA7vRryc1mOV38p6rnyT2gnaMGaRQcks7nPwpX1KwFyGjDsH\n+zh33H27uNenG2RtswskhZXcadx9J/Kqperb3a3EFzJFLEdSOrurKw35BxkEbuVZn8D6k6MdIv8A\nxM6V7Q6O2m1ujnSbb/Sbb8lnaTPd3t5KIbuYqjB5HlQMoZt7AHcMgdlfv+3f/Gr6H9qdHL3YOz+i\nFjsua6h6uK+gjLT27jGl1ZiTuIGRnfvzxr1YYcec6g+CNp9HZo+lW1Oh3Rw3u3ptm3NzBHLZwSsZ\n44SwaQRqGIXCls7wB24rlW2ztpreWkLWNzC94yCBptcSOGbSG1MANOd2rOBv37q8lw0PtPoB9A/0\nyfRfsu02x0K6a2a300Qk2hsC9LtZtJ2qHGQTjA1AKd32sV+bf+RWwrO9mh6TbZ6Hbd6OdLdo3Oi/\ninuWubG5RY8dbBONS7sIujK4BHo4Ga6cn9Hjt5PUNvwn/wCP7Ns5GudomQsfR0rIxG8buyvoOLY3\n0abe+gfoNa9KuldzsGBbzagter2bLdiZutGvIQqVxgEE9+7hXzb9V9/LK4XWMnv/ADGbl29hdfR3\n0a259NvRfaglN7s/or0R2dfGSX+As6R6hbhtfoqXfTuY8A2az/SBseCT6R/oz+kzbFnaQ322tt7O\n2btNbGdZ4otoRzx6PTTI9OMAgZyAu+u3J93k3ZPn/wCJZ/vS1+L9NINm7N+nfa95FK/WT9LbgEgt\nxN6c9mK4H/kRexH6cOl6lnDLfsoIZh91d3CtcW+WXks+f91n6vZfQXf3exPoz6e9OOi1ss3SnYyW\ncVnI8ZmksrWVyJZ41YH0tIO/BwF37s5/QOg3Sna30jfR3B0i+kCV7262P0n2RDsPassRSa4aS5UT\nQago1qq+keO87+Ax1mOtYSfj3Qr6bvpDkguemGwbf6b9oXUhuZLRujjdHzHEqNIFeH61vyFQsdWN\n+n215T6Bemmxehuz+k6bQO2NkrtGG2hj2/YWhuW2YwdjpbUu5ZOG7edG7eARz5eTfN73/j1/+ex+\nriz2ts696RfSHJtSx6W7ft+i1rtHo1frYiOR7ZndXuDDpyJUUA5Oo4bB44r896AfSj016ddMOhVr\n0uuLjaWzYukcJtr6W1wy3GQTEJggzgHOjPaCdwGMZ5cuFmMu997/AM//AIPRbL29ZdGOinTi7f6R\nb/odG/0h3EX1+2sJLxpGaFz1OhSCFONWrgCgHbXP6AdPdkxbW+kjpDtrbVx072TbbHsoZrm8t3ge\n8t3mRJE6ps6SutwN+/SDuzu9st/G2/4V6nZX0adENldENl7LW+j2l0S6R9N9n3mz5XkP8a3eFgIp\nN2QwdTGw3H3E4Hjeln0sfSx/b3SrorLbTfUY1urR9jpYCSO0s0yA6oI9wVMMJOHA5xirnllxyeJH\nuulHTqx2F0c6ExyfTLtTotJL0Q2bOljbbLkuVmzGwEhdSACcacY3aQe2vn+9v4tpyreXUrs8p1SS\nBm1MxydR9H2ms55d62sc/rbeEsUlfW+d2pvKkSX9tEFEhck7iA7b/hXO7tV0NlbVginGesAUcdTD\n/wDrXdvtqWG3Nn/UZxOqhs61dic+7Fa487jellfITbZiubp0NtG0OvIwPSA9m+u/HLsxodSW8aqe\n0554zWefjyxxkjlZ+jBKlhJMCUBPcv8A3TINmWNvKjmIYBJOvBH61csssZ4lumm62dYrcJJHZ2+m\nRQR2Ke88ayy2lpNrSWziSQ8GQbs9x315sM89yyue7tim2fYRgCB11536tx93GsZ62bXC8UbtxYMM\nH9fbXuwz85vJ0l2yqkJynU8TkjHzr0OwINn29u1xJYxySA+jqBwvt47/AHVPqcspx3x+Vvp2Yy9y\n8NwltEhRgd645fh3VuOybK8BuVjjlBB+yuCPfv8A1r5kzx4s4zOq2bFtdnWLmeOzJMqkYkXIGd+7\nB99dNoLJoBOLBZQNwGMEe/fU5OW5fhV3vp5jbEtjEWWPZ8QXwFd+e8b686kkDXoQWi4O4DGD+td+\nGXx2l/ZrXXExC2RDZJIC/OpjlWG8ZLqCOMHB3pn+tb1jl69nt2En2W75u7OB4xuJAOcdn3v1rXIb\nL6wi2MkAQkbjlRj2nPHhXn1ljlqzcajXLAjmNZol0sPRZt+7uzmlTWFhJOQLZSoxnfjI7Mb67YXf\neKVe62RaQwIY7WIBuJYgn3cc1jTZ8Eky2kWzY/Sx6WMjHfnO6umHLcZbWpdMF/Bsy1v+os4QTGMS\nSldxO7IAzURX1ugjSezTUp4aOPx3Uy/PGW+0p1xLBKgme3X0jw443e+m209qYigs1OOI0ahjvG81\n55jdOezbvaezooxCtpE2o4wE3b+zGd1IKwTpiC0C4XLLjh8amrjN0P2b1EVyIJrWOZHGCrrx92G3\nV0tpbC2NOqXENrHb4A6xkXO7d7cVx5OXLi5Jlj6/Q28xcbElhJaJIZCCcKnHTzrn6rfAVrVAcniv\nH2ca+txck5ZuOkuy5I7V0Er28Q3aeG/8d9arQbPZIYljSMlsMCMDeffXTPemq6MfR4vPGDaA2srh\nXdTkDf7DXXseiuybe7meWBJYsARa8at448ffXy/qP+oTDG44e/8A2xc9One2WyLRY5RaxYRBjONS\nkcBx31iudoW89pKlxsqORMag5j3gD2A/vNfOw8ubWdunP32wbOu7fKpBYp1eMsACdI7t5rl9IWH1\nkyiwjRDjDhCob2jfvr6P0+EnNu3tqe3AnaEkSCFG0kDGOznSHkhcoFtFXPswD8a+vjNNHxQxb2e3\njbdjA4/rWuzETtqltEBX7IIxvz76xleqbaYlsoXM4t1kKNldI7faM1vsdqRMCHsYym/LBd49oya8\n2eH3O6mu3PeSziOeoVm1H7o+O+tKz7PMfV9QuoHf6Pzr02Wxup62LeqQJpAzuHzqiNazsRJAmFG5\ntPD8M1mdToaIJ7aGRJYdMcsDBo2UEEEbwQc7t43V94fRN9KPSfZf/jTt76UOlvTEba2jHFMtlHJM\nkj2jj+DBHIV363lIY6iTpZfbXXjtl2NH/iZ9Fmzfo66MW/T7phFb2O3ulzJb2Qm9F47dxrjiGT9u\nTTrI44CDcQRX6F9P/wBEmxPpW6LLs6P6uOk2zElvtkBmUPJp0iSPBP2GygJ4BihPcZlP6dwntHl+\ni3/kDtKz+gJenbdGm2rtPoxKdlbftJZjBNbSQnQ0rDSxJwY2ZcDGtjkaTXyjt76Qtr9LbS3s9pbS\nuL+22eJHso7iZnSEyY1Kuo5x6K7snAG6vi/9Sy5csMcb/brv9/X/ANaYtunjJtobMvBl4YRMMgby\nFPfxOO0b6Xd7d6a3OzNi9DLCDad9s6yMlzs23jtC+nrZurkdNIy4aUBM7xqBUb91Z+k4sst8dnTM\n76e4bp/9JW3ujtzsm+h2pe211a29rcRiw0ia3tGbqkYqoJETa+3cQ2d9cfZXSD6T7DYHXdENlbZG\ny4Ly224VGzmlhinhbVHcBipC40HfkAhd+QDW8MOb7vlf4/wne3stp/SR/wCSnTDZj9FtvWvSGfrO\nrvXtn2OVYpDKrrJpCBtKuqEnhkAGs+3PpE/8iumOwLvYe05OkW19lX8axTrFskNHKjqrqCyR7shk\nI37wwIyCK9fHy80yuF3f8OmNvy/N+hm2fpD6GdItn7S6E2W0rHa93qgszbW79Zcrq0tGE3iUalII\nwRle8V7HpT0z+njpdthb/pbY9I7u66LyrcaP7NaGPZsyAOrtCiKiMAAcsoJHsr06ymOsfTbzm0f/\nAJl0igv/AKQ9pdHr66tLq5L3+1jZMYGmY79Tj0ASTwyONdjYH0ifSH9GFxeHYEt/0eaKSOC+ieyP\nVl3UtGs0UgK6mVXK6hkgNjdmvN45Y5fcx9o6m0emv023+3V+kGePpGu07d1tY9px2ciLGdegQgBQ\ngBdtPV4wScYycV3dp9M/p46S7btpNuf/ACG52t0bljvo7Q7K+ri0feVmMKIFz9rDMvf7aZZc2GPU\nvYz7A6e/TH0Th2pc9Hb7adku0Lltp3gjslfrWlUuJiCpIDIpYEbsAkbt9c3anT3p9t9rrbHTDaF4\ny7f2fFbPJPbJGL20jlZk0nA1KsitvXtBGdxqX6nk+3bPjpWxIunkvRG06LWuxNtTbBvLsX9lZizk\naOWcIW1wnGSdIZsKcYyfbW/pb9Kf/kLf9HZ+jV2OlH9nDTZXDf2cyu2cARPMEEjZLAaS2TqxvzWu\nDk5svaKdFfpb/wDIu22HabL2BN0gFhs62jhtkt9lCRI7dAY0wdB9EdWy5J+4e4153Ytnt7b+1bqG\nLove318rGe5WK0dpFLHOplUZXJPdjfXbO8l0QnpDYy2RMsvRye2aFkWcywMAhkUtHknhqUEgHiBk\nVxrWSynJaXZ8WYxnJB3/ABqW3W2muGexBylvHvGDlfnXVS4itrdm+pIsbb8jHnXLd2u3zFFPFEQ0\ncJUniSPhWq3vZpUK4yfd2c699xvusttmt3J1jR2pfSMkrgkfhmmLftOpieBlKjcMdvOuVxmWX8Jr\ndafrLJD1ctqVIAIAXj8arNdS3CYZGGkagMYxu99ccsNXbFnbHeObi56l4nAAGGC7mrbYmP6yIriz\nZlU4RicDf35NM/Lw1je1ktjY2zoFf6xBDpcDDR6ASvtG/eKhI7m3uerltf4ZIYEoN/b3155yXknj\nTe2qS+uY0ZBEuc+jld439m/h7Kda7V2jE2h4vRY69UeO/wB/DhXm+1jrtl22uLjaEKQwWKjSQVZI\n9JXtPbwzXTa6lsrNp7qxlPon0cHs/HdXCd/jfbePbxm2Lm52gZLlIRGsYwo6vBPxpOz9nmZROluZ\nJV36idI39xz345ivXcrxYJXTkTbVskUr7MeVWOkYVWxv3DIPu3GugtjssZmvdmSq7gZTAIznvzu7\na8/nr8uK9kQnRhTMTb7Pklt5MMrltJx3Zzjj76m42RBbINez59Lv6TxyL6JHsyat+ozz12trrW9r\nFdWsccCNrZSFZgAGYdg37jXPtbPaluJLtrKQxxSBGWWPec9wzv4dldfpebcuOfuNYSX26skF1fqo\nTZTbjuKrgjhkDfWyHZVxbRSSJGwJT7RHogdoIzvP4HhWefk1h4/NXKd6jgbQsLy1mIa3tkkYZGrA\nznuyfjgV5+4u72Fi0uyzrU6daqDw9x31vik5JvenOxklupEkLyWbKoO8MMZPOmSbeZ0KizCqPRBI\nAI5GvR9ny1dpZs3Z8mo9deWJkDA6QMHUOHf3Vrj2vFbehDahAox9kEjfwJzXHk48srZjemdfoudt\nPChcWgLNwyvA86tZ7YuiNMkB9PI0gbwD+NZnBqENvL1OohL2rGRWyCoGWHPfXIvLxRplOxj6A0HW\npHu7eIrr9Nhl83TeLly2bzwl4sZY5Ee4Eju48a02NhGV0TQuWxkrjSUPYck9v9a92fJfG69t7e0s\n7uYW8VubJYymC4ZOJx3Zzmtwv8MwSD7G8LpBI38OO8V+Z5OG3O7cdM+09ryy7PDzWMSqzHDBBxA4\nEZrHF0gcQJCtqCUxq1KNJXgc763x/TeWGt9SrGBYhbSrNa28ySMNS4QaWHZ2/wBK3jay/V2aXYcc\nzjJwcHjxwM/jXbKXPV8tWfoR5jbcdpra7TZUUSSHEYiY6SRjIIzu4/DsrhXAuIZwl3ZNGoIJGN+P\nYe2vtfT+Vwnld1r3CluXuLhVjhdTkAHHD28a7C3ShAr2PWOOJ7+8ca1y4W6kNEWt0YbgFbUhSchW\nGQBzpt5d3kUjQi3wrNnKgYI4d9Lx7zm2vHtlQ3HX6mhJ9mAN/OtMk82MSW2GA4kDeedd7FqFku8E\nrbuAOO4YxzpkPXthzEwHADSMfrTUJDlnkM6K1kWAOPsjf8a95sOObZsckWzbOeOWVULprLRyFTqX\nWhOlhkA4IIr5v1/Jlx4SY3W/bGd16e5+kT6cPpL+knYWzrHpgECbLZ5kkt4OpZ5CAA7BTpJABxgD\nGo99eQ6MfTh086I9NNndLbfaN1tHaGz0aNTtGd5laIggxMC+ShB4AjfvGDivPwcmfNneTf8AyOe7\nbtfbv0qdLunO2Nu3m1YuptdsXEd5f7PtFMNtNMi6VZ4wfSOBnJySd5Od9eavb+/bq7m22aIrcHGg\nY7fxrHLjc+X+pl/ypf3YL+KWRI57W1XSxGoA/YPdx3V7zoX9MK9DodgXp6CzbQ2xsJIbFJ/7TEUT\n2SbUG0Chi6okSmTWgk16QrfYJGa9v03JjhO28dR0Nsf+T3SS6TZ0n/w+2ttqWUkUst0ky9XdOl0Z\nmaSILglwdL78MSzfexXT2b9MUW2dm7Ztp+gUQsby5iOzIEurZxs2CGAQwxDr7aVjpVFy8bQuxycg\nnI78/Jjhx+V9NXUm3r5P/Imw2ztmW6uugDrbyT3Mk1lDfRCGfrbkTgyiSByWBVVLqVb0QyGM5z4v\npB0u2/tHYW1Nm2myJrRr7+wQktteH+Cdm2jW2pRgE9ZkPxBXSB6fGvnz6/xynnNX9WZntivfpd2r\nd/SU3Tra/RycJPYybMa1EoidIZLZoZWhlCjq5CZJJAwQ4dySGyc9Pb302T3HQ5uhuxeiKw2jJDbJ\nNtGdb6dYI4ZEILtGv8QmQkOoXSAFC4Ga933fKfj8uku1Nl/SbsE7B2DsjpD0Qur2TYSLbRqm1RDa\nXEC3RuCksHVtqJZiCQ4BAB06gDWrpD9KGzPpCsdqQdK+g0i320jZXE11sva5hSS4tEuo4pGWeOdy\nOrulQqXz/CXBUHA4z6j7csuNNmTf+Qm1n25Y39p0V2esWzry4uHhkZZJpRLNJIVWfSGiwHwCud4D\nY7K7HRn6bLjo5/ZdvsXoBM2zbEW624vtoLcXUfVyzzE9b1SqW13GUOjSmjer5NdcueYd5RWpvpz2\npcbMTZd/0UEs1vZW1lBMbkdakUVg9qVZtPpq0kjTAEeiXdcnVkcjpZ9J2yumGzE2Nt76PZdnf2PA\nYdgy2NyZOrTRGixz6yQ4AjDFowg1ajoy7MOH38eTG469j0Gw/p8gs9jbO2WPo8eVbO2S1ui9xbKJ\nQljPahgDbMW9GdjpnMyDGkKATXDg+nxtizfU9mfR5pto5jJGyTwJMubmGYqDFAkSo3VFSqxKcPkE\nYOe/Fy/r/wCv9g+3+nG32xb7Xt9sfRwXuNsxWcc7QTWwhjNqJ0iMcNxbTJH/AA5lU6MHKFlK6iK3\nbL+lbYOyrram1m+ju/eXb8EFvfJPtG1uI9cRQo0aTWboo9A5DBzvBBBG/WXLjvX+w8d0r6ZdJOk2\nwdidE7m1nSHYzyhdR1FwxyhbAGdCjSMk7uGkbq5ezbS9gQwzWJLM2GIHEY99c88t46UufZzwTGeC\n0YxK2rDbsfGtuzbu8mklEloRGowF7OWa4ZZec2PleW2u4RmWApvwC3D9K0W8hVQdSeluOGGf0r7G\n/KbiOlZXMlu4kAQHPAsN57+FdFr4Xpz1MSN9rcUGT+WuGeH5eSWds1xdXOgqyRM2d5DLkDlWOa5u\nYSoiRHWQZ4gkezhupMZ6RJv5wwhG47iQSu4+zdTZL+7lkDpoBxpAyN47uFX7U9rJ8tNnLfGUSsAC\noJDdYpyO7hXTgn2pJF1DJCChJU6lGfZnHdXi5sOOXtm6lMu0vnjV3ijDqQCRIhAGOPDfisxk2isZ\nLrGwQalyy6W9g3Vy48ccsdprpqs9ubQEH1dFhVFOZMOoz7OFeosby5bZmZXt2RgdzupGT3jTXk5e\nGYZTXzUnVcbbFtdXyQtazwxJGNJTUCuPZ6Ocdh99aNlX39l24triK3aNmJC60OWzgkEj4Gt8uHnx\nTjntqx04YtrFlWJrcIMmJutQFgd+nGjeKfbrdl4V2taW+dWpT18eezsC7/8AqvDvHWsesmVJbnak\nW0JLeIIAGzCdaYPsI076i8drlkja1RJsapER1Ue0Y013uMxxxs96X4X2SZluFIWGMRNgrJIoBH4D\n9a9Q16IYltyltg8Q8yZP/qKxyceWVmUrfHdElrpAQ8UOrcQ3WodX4afd2Vkh2m9tO1s1vY6j6RCy\nKwGPvfZpMPK2StbkrlbfsjtJxtG3kjScjcpkXDuO70d3ZuNednbaVvKgmhiQHBZdab//AFr6PHN4\nSX4Yy7ZpL26lkWKG2VsklkLJuP5ffS1t5l1GWwjlRThvSXdx3fZrrMPtz32xrTMUv9KxWluBGWBw\nZFwd/EHTTBEIS8mmNzjS6tIo3/l/Ct7k6nu+1S93dlhIFibC71V1O47uwU21Znc5dU14UHWmcflr\nNmsdwdGL6/ZatAt54i4aM9YmpT3cN9aesO0LQW1xbW7KfQB61AeO77u7trhl/wD3LqnTLbbASMAa\n4m9POGlQEbiOIHDeKW2xry1cX0KW4UAJpMi5b8NNdP8Aubb+XqrtuVrm5JkaCMtHvOmRMY7fu7qv\ntPak1rFCfqlq2GB1pKhxuz4a8WfF5ZY4bc60Jdpf2pZmthDIQx/iJk8141nhtm1yS/U7eREXDvrU\nY7huXGK44+XFvDuEuibss3VPbxW8GPRMfWr+GN2RVIIY7aWPrJQzOzKwaSM8Qf5fiK7zyxx17t/V\nqPO7ee+2XdSxAQsJT1qNqUggjGTu41xJtoXMxAljUsN2da/8a+19PJnhM58tztZZJYUV1hjBYnJD\nr5VLT3BbIWMYHEMoz8K72KassgdXRUYDdguvlXSnnkCMwgQqTvJdAQfdisWbsjcvWmNp5z6SpGAO\nzWu//wBahLq5nmwEi3cPST+oremXQWW6kwqxwgLxIdPKpVXkcESRAY3/AMRf+NZ14w+HV2ftNrcL\naKtuFcjLMUON/H7Nd3Z+zOl3SO+Nr0XsEnuli1hUnjDELgZ4DPZXzeTgl5u/Vcssd5KX20OkOz5b\nmx27Y6bqAlJomdEKsOI+zg1x7SdGK3T2MJeMnGqRWLDu+zjtrnx/T/axy8bqJ46m173ac7EpHHFE\nO3DR59x9GsNqu1724UiJREG3jrFw/wAN9XDHHjwtzqdR30sdoXds0X9nxQuvpKQ6KDjdj7NaDHZW\nxWG+SB5E36WdCfw9H2V4vLK/jx3d/VmfszznZ21IFlWzs4ym77SDPv8ARrgou1LJhDHEo1SEIBIp\nB34OPR317fprbjeLlv8A5dMLvquzBsvakKNLcmBV4jMi6j7sCm7N23tG2mkjlEbRDIf+Mmf09lcM\npjzSyOeu20Q321FDv1LxBiwEkqg+zeBWUx3drNJG8NvGQNweVTv7Pu7/AH1148pjPtz3HfG9aY7u\n2vI5frJWDAP2hImM+30d9Xmk2w1r10EUCqQf8SPJ3b+yu2PjnJcids+x4rk3PXTxxFZCR6UiZ/Sv\nUwJdlAqqImO/c66cdmDp3Vj6rK71FtaIDtOCVpytqzMunJlT9dPspV4u0iwa36jU3pHEy4P/AK7j\nXnxmPlKOvsa12nBhroo2VB3vGdxP+mnHZUVhcHbReGRMExxiRACOzPo15uT6i4244f6uktbbLpPb\nXAQx7KtusbIcAoW47/u766FyZtpRtHDb2KufRXTOozj2aePsrxePL9Pyf1MrqJ6Ue0uFhWQQAlNz\npGyahnt+zWWT6zAettyHQ7zqdPR9n2a+hhzXkzmLcuyJVv7mPdDCp1b8yLgg9/o76vbW+0IioW1t\nnRe+Rfx4LXrx6+R84SbWFxD9RvXOl0IJO7S2NxFecErRj7W7NfX4cPDc+GrdttpMJovTdQ4zgE8a\n22twzYKqVXTvOfOt5RloCq5615Mgd7U5Y4wdS/e/nwa8+W4z6b02Pb3cYmjYCRxvDE5XFMGzbOzj\nJaVGfuIO415M/qMv7Yz5VKOZI+rtlUEjLDhqHbS5bi7METOdManTpLkHHOuNkuX5Xst3UbPuY2fq\nJ7tTq4DrO3sANOF262iw3MYkhjc4Ut6QHbw7Nwr04zxanTLHaut2/VghcbvS478iu5aTqsQJbOpQ\nQeswRj+nlXHmy8puM1tVTcYuUlLRTHU2W/uzwIIG/tzUQ7HlyfrJtmEZzqL+i3ce7s7e+vD937c1\nfabb3M5iW1juYopDx9LduG4dw3dornyzzXDFJ7sak0lWD5OeHfxxWeOYyeu03p6C1uIby1cSSRMg\nBDbiTnHHPHPGsF9DafWrcfWQwdAEl1nTkHgd/d2VxwyyxyuNX26UDsYBDtCMdYGCoyvjrBwzx476\nvNaJJkmYKB6HpOc16OLOZXfw1jd+nn77aT2TNaLdmQBzuL8iKZsySeFRLGocuNROs5Pxr1zjxmO7\n1K1v9XQvwGsncS6ZJMMMSbgRxPH21xVZLhAks6hlO8F8Y9/fXTCddGTPdxSKCLe7ijJGMAnB9ppl\nuZIyGnmQMBlmRtzbq6WeWPpDOtsZYxi6yEODl9/4j+tcy9spmuBJDcxuDvUayD+IrhhbhnrKdOe7\ntnW0lkl6p7ho5AMbzjOOzjT7XZN9OwbWEw24GTePaN9em8mOE3W9nNsq7gdTcXRJ1lWCsd3dV5De\nxt18DrgYBVZMcD3d9c5lhyd/B1WqyuJJEzqOvePtcPca7dtG8rKJrqEDSCAW+18eNefnkwt32l6c\nzbz3FtJm2uAI5QVOlz8d9efDyXAWzmuiozgEtuXHt7a3wTHLjmUnae2u2tRHAbr62jHgVD8Rn2H8\na3wT2rqkDyxxNIMag51Yx27+FYzlyvlr0k26lxs+2uNmsv1lJOrwUZWOobu398qZsmO1vYUjuFjW\nRQMHV9ocM93OvFyXK4Wy61SuL01sXkjPUXasYFwY2PpHfx47+zjXjJrERW4nebEm4hCcZHf7a+x9\nByf0cZpudE6GYnSwJxjAY86IoJ8NqkwGGcav6V9DbS8VrJp9KTAAz9qmzvIsfU9cDv1ZB+FT3RnL\nyhiHkGAfFT7QsHysinVx9KtDZIsnViJZgNX83GkG3mjAf6wdxA4ndU3Fde1tjbwZuCTK/DDbx3V+\nzfQ5D9FW3dkTp0vMdntK1k0mV7uSPWh4EYYe6vJh/V5Lf/CYflk/QLjoj/4/3AIn2naOSN7G+kJ5\n6q/B+l3Rex2JtW+sNi9Ira6s9Za0lSTOqMjcDjgRwPuzwNPqMbhhv2cmNk3XD2Rs+5MzSXTxMSCi\nBnyNVdAh4Ls6njVojq9F97Z7fZXz+XWeesXDKbvTo2ssN1GxvNoMMscAvuG/31n2m+zriB3W5DGP\nIAK7yOGnUDxzwzXk8M8eTWM6ZcQz7Oiuo1KvGuDqjMjbuHA13Nn2tnPKZbeVpTxWMsWCd5G+vRy3\nk48fKtW2OjJb30kWRf8AWIDjQW349x4Vw06L3dxc6k2lojY5w5w2fcK5fT8+HDLdLjZPbTcbOu7f\nItJyyIACWkIIPuyazbSkku7EztNCCpAf0jqzwrvw5TPKZ/P+5j7244kugwjF0dJGftnhzpiSz9X1\nHXjSTuGrgfZvr6Vxx+HZqgvZEQxmZCUOAxO8H+tb7K5vJBn62vokDGqvPnx4zdsNOq88sEToZCqO\nASysMg8eGaNmyjrWlmvVKnGnMh864+M8LYeo6kF5dT3fVR3ESkDAy/otk8ONa3trm5iMEd5Gh0lX\nj6zcN/dmvDnhjLOtoZa7M2TB/CF+Ec4JHWb93szurAdqixuXiW6LiP73WA538eO7srnJlzZXHkiO\ntYbfjvphrv40cEAA5JI7jvxW9Y7Ziwmu8B13+njt7Bn95rjlMvp8p4xfTXCsF+jW2YvRyEJOGU+3\nfwNYlS6tpDbXU+hzkgs/Ec69H0nLMrcMvftcdvwfa/R5JgHQ6ZF7QG0t8K8tcbDu4GIMTMGOMjNf\ne+n5pZqrGBrGSGUu6uGU7sA4FdSzu0ZUV9b9+Cf0xXqt3OmnRk2ejRdagZQMEKS2D8K228Oz5NIU\nhJQASpZzkjjndXk5LddMV0nge4QTwHDxjCek2CO/BFZ7poVjUrGI2DlXGWII7+Hsrx7l/GfDP7M0\nF3DD1yRRkFSMEls88d4p6N9diYzwu4duB1ccdm7NYuPjfJgj+xyjyTyW8qouCAoY43bxw/WtiyQT\nLHrTVGq5I9Lfg8Du3HFd8uTyx/FvajRxLcv1cMhjzlOqLHdg47OFIhmDNJbszppIYK2r47vb21zn\n5f8Awzt0ba7OzzqCMy8GG8Ent34rFd7QKsXt5G6oekVDtw7MjFYx48bncvhPlU7Vlly7SyqD6ONT\nH2js3b66dvBstYRPds01wRqcFpAV7+zfmpy4Xjx1gXpt2ftG03Qxo6dWQVXU+D7Bu3V0YEtWuJDG\nJJIyc9S7uSGxxxjhXi5cfG0Mt7uxN51VxFLIpA+07rjO4jh/QV2HXZtvbSLLLL1JOFdnYaV7OK7x\nn41yuWWGU8e/0XGubNsjZ98YZLaZZYwx6x9Z9HHZw3+/FM/s63tQyyyTNxBC6yFx7xXsw+omcmOU\n7blYwLJ5GX084IyWc5/HGK5ZsdnR3DfWLp3DZIVS4I5ivbx7m9QVLWdvG8kkRwu4Es5z/wCtc17i\nJxoKyJG3hZ93MV1w/ccy9X6lIWhlcq659Evj4itez7tbpxcAtmFc4Ibj3g43VrkwmWPklk9tjTbP\nQLdiMo7YBLM4z7cYq0O1Yi4jTUy59IrqJ/SvN9vLPrL4Z93toh2h1c//ANlX3nd9s5HZ2e6p17Lv\nJdJikikYj01d8H2kYqTjywy3ismqoVgtopCGlZg3pEOxH6e+l/XrZEGvWG1bgWYDniulnkuzo74u\nEkwSCSNBZiCAPdXO2pYW7Oby2R2VslgrMdB/AVx4f6fJv4c5ZKz9SwiATXv3EAuCO7ditdrbdWY5\nJQ7qm8tqfK/D216crjr92vh2lS0KxSoJ9xyfSfSPdurYIrUDr7ZXAU6Ms7gg9x9Hv/pXz8rl6IgW\nMEcmq7lleNh3scg9o3eys+2OjFvcdSY7I9VJnVIjPlT2NgbxwO6k+ovFljl6hvTyBsP7PZlkj1lG\nwWBfII9mOFZbu4tJYwEkIcHBwWP9K+1jl52ZR0n6k3OFQSxzsAowQdWc8q5gnMsulmbGM8Wz+ld8\nZ0pqFTkJqPaR6XlWy1jRSXeOQDORhnH9KtukUmuFaQnL+icYLNu+FdC29LRJN1hDe1h/Ss3qG3Uj\nZTKlyodUGDuZ8+7hSdpzQW0y3bOwWffjLjfyrycOGuRMJqlDatljJmckjd6T+VdKxNndW4uFuQJE\nY4DmTBHfw76789sw6jed6de3lDxwq8eJM7yGcgns7KfdWIERCqwnBB4uPR7QTp418n8eLL/np5/V\nci4E5U28drMGGACS2OYGKLUrZMZbtJS2SFUM+GHKumXjlPGXupZNLQX0LbWhuNAMMoZWRtR0kjux\nu3iuxe/VH0yWsstvLCNyqXwe7fiuPLhcMsfnoy+HPjuJrgqsv1hBrJLa3GD2dm+uokSSy6kvJEHY\nHZ+QOK580mGpJtL11Gbb6GyXr7O6nxv1AtJjHb2UjZQ2bcZ65yZHXSULNh/Zw7664W/9v54ztv8A\n07jHtQ28GhYnk0AABdTHT7DurIZIVyQjFTht0jkj28K9/DLcJa6T0dbpbSkTMJVB3kgvv9wxXWRt\nnyRtAAdR35DSAj4Vz5LbZJ8K0MsMMKskk5fGGVtZHPHCsx6hmUjrQVPHU+McquN8pvStsc9pGqo/\nXq6/ZIZ/KtOzdqW5uWmGts7yCz93urjyce5ajNtXatjtGVXT6xHKh+4z7/hWK7n2fIFldZ9enSDl\n/SHtGKnDx5YSRPk7ZC2nWq4uJAmojVrbK7vd+8V39qyXMiRpbzAhQCW9P0/b9muXNr7smU6WNcix\nGFBLLcJ6O5lkffu4cK9Fb3WzjaRpeSOZY0yGbWQ3t+zXz+XK4SXCdpK//9k=\n",
       "metadata": {},
       "output_type": "pyout",
       "prompt_number": 13,
       "text": [
        "<IPython.core.display.Image at 0x1068d0a10>"
       ]
      }
     ],
     "prompt_number": 13
    },
    {
     "cell_type": "markdown",
     "metadata": {},
     "source": [
      "Here is today's image from same webcam at Berkeley, (refreshed every minutes, if you reload the notebook), visible only with an active internet connection, that should be different from the previous one. Notebooks saved with this kind of image will be lighter and always reflect the current version of the source, but the image won't display offline."
     ]
    },
    {
     "cell_type": "code",
     "collapsed": false,
     "input": [
      "SoftLinked"
     ],
     "language": "python",
     "metadata": {},
     "outputs": [
      {
       "html": [
        "<img src=\"http://www.lawrencehallofscience.org/static/scienceview/scienceview.berkeley.edu/html/view/view_assets/images/newview.jpg\"/>"
       ],
       "metadata": {},
       "output_type": "pyout",
       "prompt_number": 14,
       "text": [
        "<IPython.core.display.Image at 0x106ab19d0>"
       ]
      }
     ],
     "prompt_number": 14
    },
    {
     "cell_type": "markdown",
     "metadata": {},
     "source": [
      "Of course, if you re-run this Notebook, the two images will be the same again."
     ]
    },
    {
     "cell_type": "heading",
     "level": 2,
     "metadata": {},
     "source": [
      "Audio"
     ]
    },
    {
     "cell_type": "markdown",
     "metadata": {},
     "source": [
      "IPython makes it easy to work with sounds interactively. The `Audio` display class allows you to create an audio control that is embedded in the Notebook. The interface is analogous to the interface of the `Image` display class. All audio formats supported by the browser can be used. Note that no single format is presently supported in all browsers."
     ]
    },
    {
     "cell_type": "code",
     "collapsed": false,
     "input": [
      "from IPython.display import Audio\n",
      "Audio(url=\"http://www.nch.com.au/acm/8k16bitpcm.wav\")"
     ],
     "language": "python",
     "metadata": {},
     "outputs": [
      {
       "html": [
        "\n",
        "                <audio controls=\"controls\" >\n",
        "                    <source src=\"http://www.nch.com.au/acm/8k16bitpcm.wav\" type=\"audio/x-wav\" />\n",
        "                    Your browser does not support the audio element.\n",
        "                </audio>\n",
        "              "
       ],
       "metadata": {},
       "output_type": "pyout",
       "prompt_number": 15,
       "text": [
        "<IPython.lib.display.Audio at 0x1070b2510>"
       ]
      }
     ],
     "prompt_number": 15
    },
    {
     "cell_type": "markdown",
     "metadata": {},
     "source": [
      "A Numpy array can be auralized automatically. The Audio class normalizes and encodes the data and embed the result in the Notebook.\n",
      "\n",
      "For instance, when two sine waves with almost the same frequency are superimposed a phenomena known as [beats](https://en.wikipedia.org/wiki/Beat_%28acoustics%29) occur. This can be auralised as follows"
     ]
    },
    {
     "cell_type": "code",
     "collapsed": false,
     "input": [
      "import numpy as np\n",
      "max_time = 3\n",
      "f1 = 220.0\n",
      "f2 = 224.0\n",
      "rate = 8000.0\n",
      "L = 3\n",
      "times = np.linspace(0,L,rate*L)\n",
      "signal = np.sin(2*np.pi*f1*times) + np.sin(2*np.pi*f2*times)\n",
      "\n",
      "Audio(data=signal, rate=rate)"
     ],
     "language": "python",
     "metadata": {},
     "outputs": [
      {
       "html": [
        "\n",
        "                <audio controls=\"controls\" >\n",
        "                    <source src=\"data:audio/wav;base64,[encoded data, 64060 characters]\" type=\"audio/wav\" />\n",
        "                    Your browser does not support the audio element.\n",
        "                </audio>\n",
        "              "
       ],
       "metadata": {},
       "output_type": "pyout",
       "prompt_number": 16,
       "text": [
        "<IPython.lib.display.Audio at 0x10828a050>"
       ]
      }
     ],
     "prompt_number": 16
    },
    {
     "cell_type": "heading",
     "level": 2,
     "metadata": {},
     "source": [
      "Video"
     ]
    },
    {
     "cell_type": "markdown",
     "metadata": {},
     "source": [
      "More exotic objects can also be displayed, as long as their representation supports the IPython display protocol.  For example, videos hosted externally on YouTube are easy to load (and writing a similar wrapper for other hosted content is trivial):"
     ]
    },
    {
     "cell_type": "code",
     "collapsed": false,
     "input": [
      "from IPython.display import YouTubeVideo\n",
      "# a talk about IPython at Sage Days at U. Washington, Seattle.\n",
      "# Video credit: William Stein.\n",
      "YouTubeVideo('1j_HxD4iLn8')"
     ],
     "language": "python",
     "metadata": {},
     "outputs": [
      {
       "html": [
        "\n",
        "        <iframe\n",
        "            width=\"400\"\n",
        "            height=300\"\n",
        "            src=\"https://www.youtube.com/embed/1j_HxD4iLn8\"\n",
        "            frameborder=\"0\"\n",
        "            allowfullscreen\n",
        "        ></iframe>\n",
        "        "
       ],
       "metadata": {},
       "output_type": "pyout",
       "prompt_number": 17,
       "text": [
        "<IPython.lib.display.YouTubeVideo at 0x108313810>"
       ]
      }
     ],
     "prompt_number": 17
    },
    {
     "cell_type": "markdown",
     "metadata": {},
     "source": [
      "Using the nascent video capabilities of modern browsers, you may also be able to display local\n",
      "videos.  At the moment this doesn't work very well in all browsers, so it may or may not work for you;\n",
      "we will continue testing this and looking for ways to make it more robust.  \n",
      "\n",
      "The following cell loads a local file called  `animation.m4v`, encodes the raw video as base64 for http\n",
      "transport, and uses the HTML5 video tag to load it. On Chrome 15 it works correctly, displaying a control\n",
      "bar at the bottom with a play/pause button and a location slider."
     ]
    },
    {
     "cell_type": "code",
     "collapsed": false,
     "input": [
      "from IPython.display import HTML\n",
      "from base64 import b64encode\n",
      "video = open(\"images/animation.m4v\", \"rb\").read()\n",
      "video_encoded = b64encode(video).decode('ascii')\n",
      "video_tag = '<video controls alt=\"test\" src=\"data:video/x-m4v;base64,{0}\">'.format(video_encoded)\n",
      "HTML(data=video_tag)"
     ],
     "language": "python",
     "metadata": {},
     "outputs": [
      {
       "html": [
        "<video controls alt=\"test\" src=\"data:video/x-m4v;base64,[encoded data, 15872 characters]\">"
       ],
       "metadata": {},
       "output_type": "pyout",
       "prompt_number": 18,
       "text": [
        "<IPython.core.display.HTML at 0x1070b3050>"
       ]
      }
     ],
     "prompt_number": 18
    },
    {
     "cell_type": "heading",
     "level": 2,
     "metadata": {},
     "source": [
      "HTML"
     ]
    },
    {
     "cell_type": "markdown",
     "metadata": {},
     "source": [
      "Python objects can declare HTML representations that will be displayed in the Notebook. If you have some HTML you want to display, simply use the `HTML` class."
     ]
    },
    {
     "cell_type": "code",
     "collapsed": false,
     "input": [
      "from IPython.display import HTML"
     ],
     "language": "python",
     "metadata": {},
     "outputs": [],
     "prompt_number": 19
    },
    {
     "cell_type": "code",
     "collapsed": false,
     "input": [
      "s = \"\"\"<table>\n",
      "<tr>\n",
      "<th>Header 1</th>\n",
      "<th>Header 2</th>\n",
      "</tr>\n",
      "<tr>\n",
      "<td>row 1, cell 1</td>\n",
      "<td>row 1, cell 2</td>\n",
      "</tr>\n",
      "<tr>\n",
      "<td>row 2, cell 1</td>\n",
      "<td>row 2, cell 2</td>\n",
      "</tr>\n",
      "</table>\"\"\""
     ],
     "language": "python",
     "metadata": {},
     "outputs": [],
     "prompt_number": 20
    },
    {
     "cell_type": "code",
     "collapsed": false,
     "input": [
      "h = HTML(s); h"
     ],
     "language": "python",
     "metadata": {},
     "outputs": [
      {
       "html": [
        "<table>\n",
        "<tr>\n",
        "<th>Header 1</th>\n",
        "<th>Header 2</th>\n",
        "</tr>\n",
        "<tr>\n",
        "<td>row 1, cell 1</td>\n",
        "<td>row 1, cell 2</td>\n",
        "</tr>\n",
        "<tr>\n",
        "<td>row 2, cell 1</td>\n",
        "<td>row 2, cell 2</td>\n",
        "</tr>\n",
        "</table>"
       ],
       "metadata": {},
       "output_type": "pyout",
       "prompt_number": 21,
       "text": [
        "<IPython.core.display.HTML at 0x108313a90>"
       ]
      }
     ],
     "prompt_number": 21
    },
    {
     "cell_type": "markdown",
     "metadata": {},
     "source": [
      "Pandas makes use of this capability to allow `DataFrames` to be represented as HTML tables."
     ]
    },
    {
     "cell_type": "code",
     "collapsed": false,
     "input": [
      "import pandas"
     ],
     "language": "python",
     "metadata": {},
     "outputs": [],
     "prompt_number": 22
    },
    {
     "cell_type": "markdown",
     "metadata": {},
     "source": [
      "Here is a small amount of stock data for APPL:"
     ]
    },
    {
     "cell_type": "code",
     "collapsed": false,
     "input": [
      "%%file data.csv\n",
      "Date,Open,High,Low,Close,Volume,Adj Close\n",
      "2012-06-01,569.16,590.00,548.50,584.00,14077000,581.50\n",
      "2012-05-01,584.90,596.76,522.18,577.73,18827900,575.26\n",
      "2012-04-02,601.83,644.00,555.00,583.98,28759100,581.48\n",
      "2012-03-01,548.17,621.45,516.22,599.55,26486000,596.99\n",
      "2012-02-01,458.41,547.61,453.98,542.44,22001000,540.12\n",
      "2012-01-03,409.40,458.24,409.00,456.48,12949100,454.53"
     ],
     "language": "python",
     "metadata": {},
     "outputs": [
      {
       "output_type": "stream",
       "stream": "stdout",
       "text": [
        "Writing data.csv\n"
       ]
      }
     ],
     "prompt_number": 23
    },
    {
     "cell_type": "markdown",
     "metadata": {},
     "source": [
      "Read this as into a `DataFrame`:"
     ]
    },
    {
     "cell_type": "code",
     "collapsed": false,
     "input": [
      "df = pandas.read_csv('data.csv')"
     ],
     "language": "python",
     "metadata": {},
     "outputs": [],
     "prompt_number": 24
    },
    {
     "cell_type": "markdown",
     "metadata": {},
     "source": [
      "And view the HTML representation:"
     ]
    },
    {
     "cell_type": "code",
     "collapsed": false,
     "input": [
      "df"
     ],
     "language": "python",
     "metadata": {},
     "outputs": [
      {
       "html": [
        "<div style=\"max-height:1000px;max-width:1500px;overflow:auto;\">\n",
        "<table border=\"1\" class=\"dataframe\">\n",
        "  <thead>\n",
        "    <tr style=\"text-align: right;\">\n",
        "      <th></th>\n",
        "      <th>Date</th>\n",
        "      <th>Open</th>\n",
        "      <th>High</th>\n",
        "      <th>Low</th>\n",
        "      <th>Close</th>\n",
        "      <th>Volume</th>\n",
        "      <th>Adj Close</th>\n",
        "    </tr>\n",
        "  </thead>\n",
        "  <tbody>\n",
        "    <tr>\n",
        "      <th>0</th>\n",
        "      <td> 2012-06-01</td>\n",
        "      <td> 569.16</td>\n",
        "      <td> 590.00</td>\n",
        "      <td> 548.50</td>\n",
        "      <td> 584.00</td>\n",
        "      <td> 14077000</td>\n",
        "      <td> 581.50</td>\n",
        "    </tr>\n",
        "    <tr>\n",
        "      <th>1</th>\n",
        "      <td> 2012-05-01</td>\n",
        "      <td> 584.90</td>\n",
        "      <td> 596.76</td>\n",
        "      <td> 522.18</td>\n",
        "      <td> 577.73</td>\n",
        "      <td> 18827900</td>\n",
        "      <td> 575.26</td>\n",
        "    </tr>\n",
        "    <tr>\n",
        "      <th>2</th>\n",
        "      <td> 2012-04-02</td>\n",
        "      <td> 601.83</td>\n",
        "      <td> 644.00</td>\n",
        "      <td> 555.00</td>\n",
        "      <td> 583.98</td>\n",
        "      <td> 28759100</td>\n",
        "      <td> 581.48</td>\n",
        "    </tr>\n",
        "    <tr>\n",
        "      <th>3</th>\n",
        "      <td> 2012-03-01</td>\n",
        "      <td> 548.17</td>\n",
        "      <td> 621.45</td>\n",
        "      <td> 516.22</td>\n",
        "      <td> 599.55</td>\n",
        "      <td> 26486000</td>\n",
        "      <td> 596.99</td>\n",
        "    </tr>\n",
        "    <tr>\n",
        "      <th>4</th>\n",
        "      <td> 2012-02-01</td>\n",
        "      <td> 458.41</td>\n",
        "      <td> 547.61</td>\n",
        "      <td> 453.98</td>\n",
        "      <td> 542.44</td>\n",
        "      <td> 22001000</td>\n",
        "      <td> 540.12</td>\n",
        "    </tr>\n",
        "    <tr>\n",
        "      <th>5</th>\n",
        "      <td> 2012-01-03</td>\n",
        "      <td> 409.40</td>\n",
        "      <td> 458.24</td>\n",
        "      <td> 409.00</td>\n",
        "      <td> 456.48</td>\n",
        "      <td> 12949100</td>\n",
        "      <td> 454.53</td>\n",
        "    </tr>\n",
        "  </tbody>\n",
        "</table>\n",
        "<p>6 rows \u00d7 7 columns</p>\n",
        "</div>"
       ],
       "metadata": {},
       "output_type": "pyout",
       "prompt_number": 25,
       "text": [
        "         Date    Open    High     Low   Close    Volume  Adj Close\n",
        "0  2012-06-01  569.16  590.00  548.50  584.00  14077000     581.50\n",
        "1  2012-05-01  584.90  596.76  522.18  577.73  18827900     575.26\n",
        "2  2012-04-02  601.83  644.00  555.00  583.98  28759100     581.48\n",
        "3  2012-03-01  548.17  621.45  516.22  599.55  26486000     596.99\n",
        "4  2012-02-01  458.41  547.61  453.98  542.44  22001000     540.12\n",
        "5  2012-01-03  409.40  458.24  409.00  456.48  12949100     454.53\n",
        "\n",
        "[6 rows x 7 columns]"
       ]
      }
     ],
     "prompt_number": 25
    },
    {
     "cell_type": "heading",
     "level": 2,
     "metadata": {},
     "source": [
      "External sites"
     ]
    },
    {
     "cell_type": "markdown",
     "metadata": {},
     "source": [
      "You can even embed an entire page from another site in an iframe; for example this is today's Wikipedia\n",
      "page for mobile users:"
     ]
    },
    {
     "cell_type": "code",
     "collapsed": false,
     "input": [
      "from IPython.display import IFrame\n",
      "IFrame('http://en.mobile.wikipedia.org/?useformat=mobile', width='100%', height=350)"
     ],
     "language": "python",
     "metadata": {},
     "outputs": [
      {
       "html": [
        "\n",
        "        <iframe\n",
        "            width=\"100%\"\n",
        "            height=350\"\n",
        "            src=\"http://en.mobile.wikipedia.org/?useformat=mobile\"\n",
        "            frameborder=\"0\"\n",
        "            allowfullscreen\n",
        "        ></iframe>\n",
        "        "
       ],
       "metadata": {},
       "output_type": "pyout",
       "prompt_number": 26,
       "text": [
        "<IPython.lib.display.IFrame at 0x10a82db90>"
       ]
      }
     ],
     "prompt_number": 26
    },
    {
     "cell_type": "heading",
     "level": 2,
     "metadata": {},
     "source": [
      "LaTeX"
     ]
    },
    {
     "cell_type": "markdown",
     "metadata": {},
     "source": [
      "And we also support the display of mathematical expressions typeset in LaTeX, which is rendered\n",
      "in the browser thanks to the [MathJax library](http://mathjax.org)."
     ]
    },
    {
     "cell_type": "code",
     "collapsed": false,
     "input": [
      "from IPython.display import Math\n",
      "Math(r'F(k) = \\int_{-\\infty}^{\\infty} f(x) e^{2\\pi i k} dx')"
     ],
     "language": "python",
     "metadata": {},
     "outputs": [
      {
       "latex": [
        "$$F(k) = \\int_{-\\infty}^{\\infty} f(x) e^{2\\pi i k} dx$$"
       ],
       "metadata": {},
       "output_type": "pyout",
       "prompt_number": 27,
       "text": [
        "<IPython.core.display.Math at 0x10a82d810>"
       ]
      }
     ],
     "prompt_number": 27
    },
    {
     "cell_type": "markdown",
     "metadata": {},
     "source": [
      "With the `Latex` class, you have to include the delimiters yourself.  This allows you to use other LaTeX modes such as `eqnarray`:"
     ]
    },
    {
     "cell_type": "code",
     "collapsed": false,
     "input": [
      "from IPython.display import Latex\n",
      "Latex(r\"\"\"\\begin{eqnarray}\n",
      "\\nabla \\times \\vec{\\mathbf{B}} -\\, \\frac1c\\, \\frac{\\partial\\vec{\\mathbf{E}}}{\\partial t} & = \\frac{4\\pi}{c}\\vec{\\mathbf{j}} \\\\\n",
      "\\nabla \\cdot \\vec{\\mathbf{E}} & = 4 \\pi \\rho \\\\\n",
      "\\nabla \\times \\vec{\\mathbf{E}}\\, +\\, \\frac1c\\, \\frac{\\partial\\vec{\\mathbf{B}}}{\\partial t} & = \\vec{\\mathbf{0}} \\\\\n",
      "\\nabla \\cdot \\vec{\\mathbf{B}} & = 0 \n",
      "\\end{eqnarray}\"\"\")"
     ],
     "language": "python",
     "metadata": {},
     "outputs": [
      {
       "latex": [
        "\\begin{eqnarray}\n",
        "\\nabla \\times \\vec{\\mathbf{B}} -\\, \\frac1c\\, \\frac{\\partial\\vec{\\mathbf{E}}}{\\partial t} & = \\frac{4\\pi}{c}\\vec{\\mathbf{j}} \\\\\n",
        "\\nabla \\cdot \\vec{\\mathbf{E}} & = 4 \\pi \\rho \\\\\n",
        "\\nabla \\times \\vec{\\mathbf{E}}\\, +\\, \\frac1c\\, \\frac{\\partial\\vec{\\mathbf{B}}}{\\partial t} & = \\vec{\\mathbf{0}} \\\\\n",
        "\\nabla \\cdot \\vec{\\mathbf{B}} & = 0 \n",
        "\\end{eqnarray}"
       ],
       "metadata": {},
       "output_type": "pyout",
       "prompt_number": 28,
       "text": [
        "<IPython.core.display.Latex at 0x10a82d090>"
       ]
      }
     ],
     "prompt_number": 28
    },
    {
     "cell_type": "markdown",
     "metadata": {},
     "source": [
      "Or you can enter latex directly with the `%%latex` cell magic:"
     ]
    },
    {
     "cell_type": "code",
     "collapsed": false,
     "input": [
      "%%latex\n",
      "\\begin{align}\n",
      "\\nabla \\times \\vec{\\mathbf{B}} -\\, \\frac1c\\, \\frac{\\partial\\vec{\\mathbf{E}}}{\\partial t} & = \\frac{4\\pi}{c}\\vec{\\mathbf{j}} \\\\\n",
      "\\nabla \\cdot \\vec{\\mathbf{E}} & = 4 \\pi \\rho \\\\\n",
      "\\nabla \\times \\vec{\\mathbf{E}}\\, +\\, \\frac1c\\, \\frac{\\partial\\vec{\\mathbf{B}}}{\\partial t} & = \\vec{\\mathbf{0}} \\\\\n",
      "\\nabla \\cdot \\vec{\\mathbf{B}} & = 0\n",
      "\\end{align}"
     ],
     "language": "python",
     "metadata": {},
     "outputs": [
      {
       "latex": [
        "\\begin{align}\n",
        "\\nabla \\times \\vec{\\mathbf{B}} -\\, \\frac1c\\, \\frac{\\partial\\vec{\\mathbf{E}}}{\\partial t} & = \\frac{4\\pi}{c}\\vec{\\mathbf{j}} \\\\\n",
        "\\nabla \\cdot \\vec{\\mathbf{E}} & = 4 \\pi \\rho \\\\\n",
        "\\nabla \\times \\vec{\\mathbf{E}}\\, +\\, \\frac1c\\, \\frac{\\partial\\vec{\\mathbf{B}}}{\\partial t} & = \\vec{\\mathbf{0}} \\\\\n",
        "\\nabla \\cdot \\vec{\\mathbf{B}} & = 0\n",
        "\\end{align}"
       ],
       "metadata": {},
       "output_type": "display_data",
       "text": [
        "<IPython.core.display.Latex at 0x10a82d790>"
       ]
      }
     ],
     "prompt_number": 29
    }
   ],
   "metadata": {}
  }
 ]
}