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   "source": [
    "# Exercise 4.4: Monte Carlo simulation of transcriptional pausing\n",
    "\n",
    "\n",
    "<hr>"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "In this exercise, we will put random number generation to use and do a **Monte Carlo simulation**. The term Monte Carlo simulation is a broad term describing techniques in which a large number of random numbers are generated to (approximately) calculate properties of probability distributions. In many cases the analytical form of these distributions is not known, so Monte Carlo methods are a great way to learn about them.\n",
    "\n",
    "Transcription, the process by which DNA is transcribed into RNA, is key process in the central dogma of molecular biology. RNA polymerase (RNAP) is at the heart of this process.  This amazing machine glides along the DNA template, unzipping it internally, incorporating ribonucleotides at the front, and spitting RNA out the back. Sometimes, though, the polymerase pauses and then backtracks, pushing the RNA transcript back out the front, as shown in the figure below, taken from [Depken, et al., *Biophys. J.*, **96**, 2189-2193, 2009](https://dx.doi.org/10.1016%2Fj.bpj.2008.12.3918).\n",
    "\n",
    "<div style=\"margin: auto; width: 400px;\">\n",
    "\n",
    "![RNAP pause](rnap_pause.png)\n",
    "    \n",
    "</div>\n",
    "\n",
    "To escape these backtracks, a cleavage enzyme called TFIIS cleaves the bit on RNA hanging out of the front, and the RNAP can then go about its merry way.\n",
    "\n",
    "Researchers have long debated how these backtracks are governed. Single molecule experiments can provide some much needed insight. The groups of [Carlos Bustamante](http://bustamante.berkeley.edu), [Steve Block](https://blocklab.stanford.edu), and [Stephan Grill](https://www.mpi-cbg.de/research-groups/current-groups/stephan-grill/group-leader/), among others, have investigated the dynamics of RNAP in the absence of TFIIS.  They can measure many individual backtracks and get statistics about how long the backtracks last.\n",
    "\n",
    "One hypothesis is that the backtracks simply consist of diffusive-like motion along the DNA stand. That is to say, the polymerase can move forward or backward along the strand with equal probability once it is paused. This is a one-dimensional **random walk**. So, if we want to test this hypothesis, we would want to know how much time we should expect the RNAP to be in a backtrack so that we could compare to experiment.\n",
    "\n",
    "So, we seek the probability distribution of backtrack times, $P(t_{bt})$, where $t_{bt}$ is the time spent in the backtrack. We could solve this analytically, which requires some sophisticated mathematics. But, because we know how to draw random numbers, we can just compute this distribution directly using Monte Carlo simulation!\n",
    "\n",
    "We start at $x = 0$ at time $t = 0$. We \"flip a coin,\" or choose a random number to decide whether we step left or right. We do this again and again, keeping track of how many steps we take and what the $x$ position is. As soon as $x$ becomes positive, we have existed the backtrack. The total time for a backtrack is then $\\tau n_\\mathrm{steps}$, where $\\tau$ is the time it takes to make a step. Depken, et al., report that $\\tau \\approx 0.5$ seconds.\n",
    "\n",
    "**a)** Write a function, `backtrack_steps()`, that computes the number of steps it takes for a random walker (i.e., polymerase) starting at position $x = 0$ to get to position $x = +1$. It should return the number of steps to take the walk.\n",
    "\n",
    "**b)** Generate 10,000 of these backtracks in order to get enough samples out of $P(t_\\mathrm{bt})$. Some of these samples may take a very long time to acquire. (If you are interested in a way to really speed up this calculation, ask me about [Numba](http://numba.pydata.org). If you do use Numba, note that you must use the standard Mersenne Twister RNG for Numba; that is using `np.random....`.)\n",
    "\n",
    "**c)** Generate an ECDF of your samples and plot the ECDF with the $x$ axis on a logarithmic scale.\n",
    "\n",
    "**d)** A probability distribution function that obeys a power law has the property\n",
    "\n",
    "\\begin{align}\n",
    "P(t_\\mathrm{bt}) \\propto t_\\mathrm{bt}^{-a}\n",
    "\\end{align}\n",
    "\n",
    "in some part of the distribution, usually for large $t_\\mathrm{bt}$. If this is the case, the cumulative distribution function is then\n",
    "\n",
    "\\begin{align}\n",
    "\\mathrm{CDF}(t_\\mathrm{bt}) \\equiv F(t_\\mathrm{bt})= \\int_{-\\infty}^{t_\\mathrm{bt}} \\mathrm{d}t_\\mathrm{bt}'\\,P(t_\\mathrm{bt}') = 1 - \\frac{c}{t_\\mathrm{bt}^{a+1}}, \n",
    "\\end{align}\n",
    "\n",
    "where $c$ is some constant defined by the functional form of $P(t_\\mathrm{bt})$ for small $t_\\mathrm{bt}$ and the normalization condition. If $F$ is our cumulative histogram, we can check for power law behavior by plotting the complementary cumulative distribution (CCDF), $1 - F$, versus $t_\\mathrm{bt}$. If a power law is in play, the plot will be linear on a log-log scale with a slope of $-a+1$.\n",
    "\n",
    "Plot the complementary cumulative distribution function from your samples on a log-log plot. If it is linear, then the time to exit a backtrack is a power law.\n",
    "\n",
    "**e)**\n",
    "By doing some mathematical heavy lifting, we know that, in the limit of large $t_{bt}$,\n",
    "\n",
    "\\begin{align}\n",
    "P(t_{bt}) \\propto t_{bt}^{-3/2},\n",
    "\\end{align}\n",
    "\n",
    "so the plot you did in part (e) should have a slope of $-1/2$ on a log-log plot. Is this what you see?\n",
    "\n",
    "**Notes:** The theory to derive the probability distribution is involved. See, e.g., [this](https://en.wikipedia.org/wiki/First-hitting-time_model). However, we were able to predict that we would see a great many short backtracks, and then see some very very long backtracks because of the power law distribution of backtrack times. We were able to do that just by doing a simple Monte Carlo simulation with \"coin flips\". There are many problems where the theory is *really* hard, and deriving the distribution is currently impossible, or the probability distribution has such an ugly expression that we can't really work with it. So, Monte Carlo methods are a powerful tool for generating predictions from simply-stated, but mathematically challenging, hypotheses.\n",
    "\n",
    "Interestingly, many researchers thought (and maybe still do) there were two classes of backtracks: long and short. There may be, but the hypothesis that the backtrack is a random walk process is commensurate with seeing both very long and very short backtracks."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "<br />"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Solution\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/html": [
       "\n",
       "    <div class=\"bk-root\">\n",
       "        <a href=\"https://bokeh.org\" target=\"_blank\" class=\"bk-logo bk-logo-small bk-logo-notebook\"></a>\n",
       "        <span id=\"1002\">Loading BokehJS ...</span>\n",
       "    </div>"
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     "metadata": {},
     "output_type": "display_data"
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       "\n",
       "(function(root) {\n",
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       "\n",
       "  const force = true;\n",
       "\n",
       "  if (typeof root._bokeh_onload_callbacks === \"undefined\" || force === true) {\n",
       "    root._bokeh_onload_callbacks = [];\n",
       "    root._bokeh_is_loading = undefined;\n",
       "  }\n",
       "\n",
       "  const JS_MIME_TYPE = 'application/javascript';\n",
       "  const HTML_MIME_TYPE = 'text/html';\n",
       "  const EXEC_MIME_TYPE = 'application/vnd.bokehjs_exec.v0+json';\n",
       "  const CLASS_NAME = 'output_bokeh rendered_html';\n",
       "\n",
       "  /**\n",
       "   * Render data to the DOM node\n",
       "   */\n",
       "  function render(props, node) {\n",
       "    const script = document.createElement(\"script\");\n",
       "    node.appendChild(script);\n",
       "  }\n",
       "\n",
       "  /**\n",
       "   * Handle when an output is cleared or removed\n",
       "   */\n",
       "  function handleClearOutput(event, handle) {\n",
       "    const cell = handle.cell;\n",
       "\n",
       "    const id = cell.output_area._bokeh_element_id;\n",
       "    const server_id = cell.output_area._bokeh_server_id;\n",
       "    // Clean up Bokeh references\n",
       "    if (id != null && id in Bokeh.index) {\n",
       "      Bokeh.index[id].model.document.clear();\n",
       "      delete Bokeh.index[id];\n",
       "    }\n",
       "\n",
       "    if (server_id !== undefined) {\n",
       "      // Clean up Bokeh references\n",
       "      const cmd_clean = \"from bokeh.io.state import curstate; print(curstate().uuid_to_server['\" + server_id + \"'].get_sessions()[0].document.roots[0]._id)\";\n",
       "      cell.notebook.kernel.execute(cmd_clean, {\n",
       "        iopub: {\n",
       "          output: function(msg) {\n",
       "            const id = msg.content.text.trim();\n",
       "            if (id in Bokeh.index) {\n",
       "              Bokeh.index[id].model.document.clear();\n",
       "              delete Bokeh.index[id];\n",
       "            }\n",
       "          }\n",
       "        }\n",
       "      });\n",
       "      // Destroy server and session\n",
       "      const cmd_destroy = \"import bokeh.io.notebook as ion; ion.destroy_server('\" + server_id + \"')\";\n",
       "      cell.notebook.kernel.execute(cmd_destroy);\n",
       "    }\n",
       "  }\n",
       "\n",
       "  /**\n",
       "   * Handle when a new output is added\n",
       "   */\n",
       "  function handleAddOutput(event, handle) {\n",
       "    const output_area = handle.output_area;\n",
       "    const output = handle.output;\n",
       "\n",
       "    // limit handleAddOutput to display_data with EXEC_MIME_TYPE content only\n",
       "    if ((output.output_type != \"display_data\") || (!Object.prototype.hasOwnProperty.call(output.data, EXEC_MIME_TYPE))) {\n",
       "      return\n",
       "    }\n",
       "\n",
       "    const toinsert = output_area.element.find(\".\" + CLASS_NAME.split(' ')[0]);\n",
       "\n",
       "    if (output.metadata[EXEC_MIME_TYPE][\"id\"] !== undefined) {\n",
       "      toinsert[toinsert.length - 1].firstChild.textContent = output.data[JS_MIME_TYPE];\n",
       "      // store reference to embed id on output_area\n",
       "      output_area._bokeh_element_id = output.metadata[EXEC_MIME_TYPE][\"id\"];\n",
       "    }\n",
       "    if (output.metadata[EXEC_MIME_TYPE][\"server_id\"] !== undefined) {\n",
       "      const bk_div = document.createElement(\"div\");\n",
       "      bk_div.innerHTML = output.data[HTML_MIME_TYPE];\n",
       "      const script_attrs = bk_div.children[0].attributes;\n",
       "      for (let i = 0; i < script_attrs.length; i++) {\n",
       "        toinsert[toinsert.length - 1].firstChild.setAttribute(script_attrs[i].name, script_attrs[i].value);\n",
       "        toinsert[toinsert.length - 1].firstChild.textContent = bk_div.children[0].textContent\n",
       "      }\n",
       "      // store reference to server id on output_area\n",
       "      output_area._bokeh_server_id = output.metadata[EXEC_MIME_TYPE][\"server_id\"];\n",
       "    }\n",
       "  }\n",
       "\n",
       "  function register_renderer(events, OutputArea) {\n",
       "\n",
       "    function append_mime(data, metadata, element) {\n",
       "      // create a DOM node to render to\n",
       "      const toinsert = this.create_output_subarea(\n",
       "        metadata,\n",
       "        CLASS_NAME,\n",
       "        EXEC_MIME_TYPE\n",
       "      );\n",
       "      this.keyboard_manager.register_events(toinsert);\n",
       "      // Render to node\n",
       "      const props = {data: data, metadata: metadata[EXEC_MIME_TYPE]};\n",
       "      render(props, toinsert[toinsert.length - 1]);\n",
       "      element.append(toinsert);\n",
       "      return toinsert\n",
       "    }\n",
       "\n",
       "    /* Handle when an output is cleared or removed */\n",
       "    events.on('clear_output.CodeCell', handleClearOutput);\n",
       "    events.on('delete.Cell', handleClearOutput);\n",
       "\n",
       "    /* Handle when a new output is added */\n",
       "    events.on('output_added.OutputArea', handleAddOutput);\n",
       "\n",
       "    /**\n",
       "     * Register the mime type and append_mime function with output_area\n",
       "     */\n",
       "    OutputArea.prototype.register_mime_type(EXEC_MIME_TYPE, append_mime, {\n",
       "      /* Is output safe? */\n",
       "      safe: true,\n",
       "      /* Index of renderer in `output_area.display_order` */\n",
       "      index: 0\n",
       "    });\n",
       "  }\n",
       "\n",
       "  // register the mime type if in Jupyter Notebook environment and previously unregistered\n",
       "  if (root.Jupyter !== undefined) {\n",
       "    const events = require('base/js/events');\n",
       "    const OutputArea = require('notebook/js/outputarea').OutputArea;\n",
       "\n",
       "    if (OutputArea.prototype.mime_types().indexOf(EXEC_MIME_TYPE) == -1) {\n",
       "      register_renderer(events, OutputArea);\n",
       "    }\n",
       "  }\n",
       "\n",
       "  \n",
       "  if (typeof (root._bokeh_timeout) === \"undefined\" || force === true) {\n",
       "    root._bokeh_timeout = Date.now() + 5000;\n",
       "    root._bokeh_failed_load = false;\n",
       "  }\n",
       "\n",
       "  const NB_LOAD_WARNING = {'data': {'text/html':\n",
       "     \"<div style='background-color: #fdd'>\\n\"+\n",
       "     \"<p>\\n\"+\n",
       "     \"BokehJS does not appear to have successfully loaded. If loading BokehJS from CDN, this \\n\"+\n",
       "     \"may be due to a slow or bad network connection. Possible fixes:\\n\"+\n",
       "     \"</p>\\n\"+\n",
       "     \"<ul>\\n\"+\n",
       "     \"<li>re-rerun `output_notebook()` to attempt to load from CDN again, or</li>\\n\"+\n",
       "     \"<li>use INLINE resources instead, as so:</li>\\n\"+\n",
       "     \"</ul>\\n\"+\n",
       "     \"<code>\\n\"+\n",
       "     \"from bokeh.resources import INLINE\\n\"+\n",
       "     \"output_notebook(resources=INLINE)\\n\"+\n",
       "     \"</code>\\n\"+\n",
       "     \"</div>\"}};\n",
       "\n",
       "  function display_loaded() {\n",
       "    const el = document.getElementById(\"1002\");\n",
       "    if (el != null) {\n",
       "      el.textContent = \"BokehJS is loading...\";\n",
       "    }\n",
       "    if (root.Bokeh !== undefined) {\n",
       "      if (el != null) {\n",
       "        el.textContent = \"BokehJS \" + root.Bokeh.version + \" successfully loaded.\";\n",
       "      }\n",
       "    } else if (Date.now() < root._bokeh_timeout) {\n",
       "      setTimeout(display_loaded, 100)\n",
       "    }\n",
       "  }\n",
       "\n",
       "\n",
       "  function run_callbacks() {\n",
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       "      root._bokeh_onload_callbacks.forEach(function(callback) {\n",
       "        if (callback != null)\n",
       "          callback();\n",
       "      });\n",
       "    } finally {\n",
       "      delete root._bokeh_onload_callbacks\n",
       "    }\n",
       "    console.debug(\"Bokeh: all callbacks have finished\");\n",
       "  }\n",
       "\n",
       "  function load_libs(css_urls, js_urls, callback) {\n",
       "    if (css_urls == null) css_urls = [];\n",
       "    if (js_urls == null) js_urls = [];\n",
       "\n",
       "    root._bokeh_onload_callbacks.push(callback);\n",
       "    if (root._bokeh_is_loading > 0) {\n",
       "      console.debug(\"Bokeh: BokehJS is being loaded, scheduling callback at\", now());\n",
       "      return null;\n",
       "    }\n",
       "    if (js_urls == null || js_urls.length === 0) {\n",
       "      run_callbacks();\n",
       "      return null;\n",
       "    }\n",
       "    console.debug(\"Bokeh: BokehJS not loaded, scheduling load and callback at\", now());\n",
       "    root._bokeh_is_loading = css_urls.length + js_urls.length;\n",
       "\n",
       "    function on_load() {\n",
       "      root._bokeh_is_loading--;\n",
       "      if (root._bokeh_is_loading === 0) {\n",
       "        console.debug(\"Bokeh: all BokehJS libraries/stylesheets loaded\");\n",
       "        run_callbacks()\n",
       "      }\n",
       "    }\n",
       "\n",
       "    function on_error(url) {\n",
       "      console.error(\"failed to load \" + url);\n",
       "    }\n",
       "\n",
       "    for (let i = 0; i < css_urls.length; i++) {\n",
       "      const url = css_urls[i];\n",
       "      const element = document.createElement(\"link\");\n",
       "      element.onload = on_load;\n",
       "      element.onerror = on_error.bind(null, url);\n",
       "      element.rel = \"stylesheet\";\n",
       "      element.type = \"text/css\";\n",
       "      element.href = url;\n",
       "      console.debug(\"Bokeh: injecting link tag for BokehJS stylesheet: \", url);\n",
       "      document.body.appendChild(element);\n",
       "    }\n",
       "\n",
       "    for (let i = 0; i < js_urls.length; i++) {\n",
       "      const url = js_urls[i];\n",
       "      const element = document.createElement('script');\n",
       "      element.onload = on_load;\n",
       "      element.onerror = on_error.bind(null, url);\n",
       "      element.async = false;\n",
       "      element.src = url;\n",
       "      console.debug(\"Bokeh: injecting script tag for BokehJS library: \", url);\n",
       "      document.head.appendChild(element);\n",
       "    }\n",
       "  };\n",
       "\n",
       "  function inject_raw_css(css) {\n",
       "    const element = document.createElement(\"style\");\n",
       "    element.appendChild(document.createTextNode(css));\n",
       "    document.body.appendChild(element);\n",
       "  }\n",
       "\n",
       "  \n",
       "  const js_urls = [\"https://cdn.bokeh.org/bokeh/release/bokeh-2.4.2.min.js\", \"https://cdn.bokeh.org/bokeh/release/bokeh-gl-2.4.2.min.js\", \"https://cdn.bokeh.org/bokeh/release/bokeh-widgets-2.4.2.min.js\", \"https://cdn.bokeh.org/bokeh/release/bokeh-tables-2.4.2.min.js\", \"https://cdn.bokeh.org/bokeh/release/bokeh-mathjax-2.4.2.min.js\"];\n",
       "  const css_urls = [];\n",
       "  \n",
       "\n",
       "  const inline_js = [\n",
       "    function(Bokeh) {\n",
       "      Bokeh.set_log_level(\"info\");\n",
       "    },\n",
       "    function(Bokeh) {\n",
       "    \n",
       "    \n",
       "    }\n",
       "  ];\n",
       "\n",
       "  function run_inline_js() {\n",
       "    \n",
       "    if (root.Bokeh !== undefined || force === true) {\n",
       "      \n",
       "    for (let i = 0; i < inline_js.length; i++) {\n",
       "      inline_js[i].call(root, root.Bokeh);\n",
       "    }\n",
       "    if (force === true) {\n",
       "        display_loaded();\n",
       "      }} else if (Date.now() < root._bokeh_timeout) {\n",
       "      setTimeout(run_inline_js, 100);\n",
       "    } else if (!root._bokeh_failed_load) {\n",
       "      console.log(\"Bokeh: BokehJS failed to load within specified timeout.\");\n",
       "      root._bokeh_failed_load = true;\n",
       "    } else if (force !== true) {\n",
       "      const cell = $(document.getElementById(\"1002\")).parents('.cell').data().cell;\n",
       "      cell.output_area.append_execute_result(NB_LOAD_WARNING)\n",
       "    }\n",
       "\n",
       "  }\n",
       "\n",
       "  if (root._bokeh_is_loading === 0) {\n",
       "    console.debug(\"Bokeh: BokehJS loaded, going straight to plotting\");\n",
       "    run_inline_js();\n",
       "  } else {\n",
       "    load_libs(css_urls, js_urls, function() {\n",
       "      console.debug(\"Bokeh: BokehJS plotting callback run at\", now());\n",
       "      run_inline_js();\n",
       "    });\n",
       "  }\n",
       "}(window));"
      ],
      "application/vnd.bokehjs_load.v0+json": "\n(function(root) {\n  function now() {\n    return new Date();\n  }\n\n  const force = true;\n\n  if (typeof root._bokeh_onload_callbacks === \"undefined\" || force === true) {\n    root._bokeh_onload_callbacks = [];\n    root._bokeh_is_loading = undefined;\n  }\n\n  \n\n  \n  if (typeof (root._bokeh_timeout) === \"undefined\" || force === true) {\n    root._bokeh_timeout = Date.now() + 5000;\n    root._bokeh_failed_load = false;\n  }\n\n  const NB_LOAD_WARNING = {'data': {'text/html':\n     \"<div style='background-color: #fdd'>\\n\"+\n     \"<p>\\n\"+\n     \"BokehJS does not appear to have successfully loaded. If loading BokehJS from CDN, this \\n\"+\n     \"may be due to a slow or bad network connection. Possible fixes:\\n\"+\n     \"</p>\\n\"+\n     \"<ul>\\n\"+\n     \"<li>re-rerun `output_notebook()` to attempt to load from CDN again, or</li>\\n\"+\n     \"<li>use INLINE resources instead, as so:</li>\\n\"+\n     \"</ul>\\n\"+\n     \"<code>\\n\"+\n     \"from bokeh.resources import INLINE\\n\"+\n     \"output_notebook(resources=INLINE)\\n\"+\n     \"</code>\\n\"+\n     \"</div>\"}};\n\n  function display_loaded() {\n    const el = document.getElementById(\"1002\");\n    if (el != null) {\n      el.textContent = \"BokehJS is loading...\";\n    }\n    if (root.Bokeh !== undefined) {\n      if (el != null) {\n        el.textContent = \"BokehJS \" + root.Bokeh.version + \" successfully loaded.\";\n      }\n    } else if (Date.now() < root._bokeh_timeout) {\n      setTimeout(display_loaded, 100)\n    }\n  }\n\n\n  function run_callbacks() {\n    try {\n      root._bokeh_onload_callbacks.forEach(function(callback) {\n        if (callback != null)\n          callback();\n      });\n    } finally {\n      delete root._bokeh_onload_callbacks\n    }\n    console.debug(\"Bokeh: all callbacks have finished\");\n  }\n\n  function load_libs(css_urls, js_urls, callback) {\n    if (css_urls == null) css_urls = [];\n    if (js_urls == null) js_urls = [];\n\n    root._bokeh_onload_callbacks.push(callback);\n    if (root._bokeh_is_loading > 0) {\n      console.debug(\"Bokeh: BokehJS is being loaded, scheduling callback at\", now());\n      return null;\n    }\n    if (js_urls == null || js_urls.length === 0) {\n      run_callbacks();\n      return null;\n    }\n    console.debug(\"Bokeh: BokehJS not loaded, scheduling load and callback at\", now());\n    root._bokeh_is_loading = css_urls.length + js_urls.length;\n\n    function on_load() {\n      root._bokeh_is_loading--;\n      if (root._bokeh_is_loading === 0) {\n        console.debug(\"Bokeh: all BokehJS libraries/stylesheets loaded\");\n        run_callbacks()\n      }\n    }\n\n    function on_error(url) {\n      console.error(\"failed to load \" + url);\n    }\n\n    for (let i = 0; i < css_urls.length; i++) {\n      const url = css_urls[i];\n      const element = document.createElement(\"link\");\n      element.onload = on_load;\n      element.onerror = on_error.bind(null, url);\n      element.rel = \"stylesheet\";\n      element.type = \"text/css\";\n      element.href = url;\n      console.debug(\"Bokeh: injecting link tag for BokehJS stylesheet: \", url);\n      document.body.appendChild(element);\n    }\n\n    for (let i = 0; i < js_urls.length; i++) {\n      const url = js_urls[i];\n      const element = document.createElement('script');\n      element.onload = on_load;\n      element.onerror = on_error.bind(null, url);\n      element.async = false;\n      element.src = url;\n      console.debug(\"Bokeh: injecting script tag for BokehJS library: \", url);\n      document.head.appendChild(element);\n    }\n  };\n\n  function inject_raw_css(css) {\n    const element = document.createElement(\"style\");\n    element.appendChild(document.createTextNode(css));\n    document.body.appendChild(element);\n  }\n\n  \n  const js_urls = [\"https://cdn.bokeh.org/bokeh/release/bokeh-2.4.2.min.js\", \"https://cdn.bokeh.org/bokeh/release/bokeh-gl-2.4.2.min.js\", \"https://cdn.bokeh.org/bokeh/release/bokeh-widgets-2.4.2.min.js\", \"https://cdn.bokeh.org/bokeh/release/bokeh-tables-2.4.2.min.js\", \"https://cdn.bokeh.org/bokeh/release/bokeh-mathjax-2.4.2.min.js\"];\n  const css_urls = [];\n  \n\n  const inline_js = [\n    function(Bokeh) {\n      Bokeh.set_log_level(\"info\");\n    },\n    function(Bokeh) {\n    \n    \n    }\n  ];\n\n  function run_inline_js() {\n    \n    if (root.Bokeh !== undefined || force === true) {\n      \n    for (let i = 0; i < inline_js.length; i++) {\n      inline_js[i].call(root, root.Bokeh);\n    }\n    if (force === true) {\n        display_loaded();\n      }} else if (Date.now() < root._bokeh_timeout) {\n      setTimeout(run_inline_js, 100);\n    } else if (!root._bokeh_failed_load) {\n      console.log(\"Bokeh: BokehJS failed to load within specified timeout.\");\n      root._bokeh_failed_load = true;\n    } else if (force !== true) {\n      const cell = $(document.getElementById(\"1002\")).parents('.cell').data().cell;\n      cell.output_area.append_execute_result(NB_LOAD_WARNING)\n    }\n\n  }\n\n  if (root._bokeh_is_loading === 0) {\n    console.debug(\"Bokeh: BokehJS loaded, going straight to plotting\");\n    run_inline_js();\n  } else {\n    load_libs(css_urls, js_urls, function() {\n      console.debug(\"Bokeh: BokehJS plotting callback run at\", now());\n      run_inline_js();\n    });\n  }\n}(window));"
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "import tqdm\n",
    "\n",
    "import numpy as np\n",
    "import numba\n",
    "\n",
    "import iqplot\n",
    "\n",
    "import bokeh.io\n",
    "import bokeh.plotting\n",
    "\n",
    "bokeh.io.output_notebook()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "**a)** For speed, I will use Numba to compile the function. You can read more about Numba [here](http://numba.pydata.org/). For now, though, you can just ignore the `@numba.njit` decorator on the function."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {},
   "outputs": [],
   "source": [
    "@numba.njit\n",
    "def backtrack_steps():\n",
    "    \"\"\"\n",
    "    Compute the number of steps it takes a 1d random walker starting\n",
    "    at zero to get to +1.\n",
    "    \"\"\"\n",
    "    # Initialize position and number of steps\n",
    "    x = 0\n",
    "    n_steps = 0\n",
    "\n",
    "    # Walk until we get to positive 1\n",
    "    while x < 1:\n",
    "        x += 2 * np.random.randint(0, 2) - 1\n",
    "        n_steps += 1\n",
    "\n",
    "    return n_steps"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "**b)** Now let's run it lots and lots of times. We will convert the result to time using the fact that each step takes about half a second.\n",
    "\n",
    "When we run multiple simulations, it might be nice to have a progress bar. The `tqdm` module allows you to easily set up progress bars. To use it, just surround any iterator in a `for` loop with `tqdm.tqdm()`. For example, you could do:\n",
    "\n",
    "```python\n",
    "for i in tqdm.tqdm(range(10000)):\n",
    "```"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {},
   "outputs": [
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "100%|████████████████████████████████████| 10000/10000 [00:15<00:00, 663.31it/s]\n"
     ]
    }
   ],
   "source": [
    "# Stepping time\n",
    "tau = 0.5 # seconds\n",
    "\n",
    "# Specify number of samples\n",
    "n_samples = 10000\n",
    "\n",
    "# Array of backtrack times\n",
    "t_bt = np.empty(n_samples)\n",
    "\n",
    "# Generate the samples\n",
    "for i in tqdm.tqdm(range(n_samples)):\n",
    "    t_bt[i] = backtrack_steps()\n",
    "    \n",
    "# Convert to seconds\n",
    "t_bt *= tau"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "**c)** Now, let's plot an ECDF of our backtrack times."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "metadata": {},
   "outputs": [
    {
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CBue7j9wzojS3uDfP2q8dJMYBJY/rthfdk8elj86kst/SL/vP/H0SlmGOJY/RPrt68A57z+5/If029flPzxO0ZFc/u8/N4lBYOXQ6j+BJsKGp1fqP5tVn6ut2OU/9UpZhjjW4z80ETY8vVKWP3ctIR/0bJY/ukkMAiuHlj/+ZffkYaGWP74wmSoYleo/gnNGlPYG7z9eukkMAivrP0GC4seYu5Y/16NwPQrX4z9jf9k9eVjqP3uDL0ymCuo/hJ7Nqs/Vlj+5/If029fjP5tVn6ut2OM/x7q4jQbwlj99rrZif9njPwrXo3A9Cpc/fa62Yn/Z5T8mUwWjkjrpP03zjlN0JJc/kQ96Nqs+lz/UK2UZ4liXPxdIUPwYc5c/WmQ730+Nlz+dgCbChqeXP18HzhlR2uU/4JwRpb3Blz8kufyH9NuXP18HzhlR2uM/Z9Xnaiv2lz+q8dJNYhCYP+0NvjCZKpg/MCqpE9BEmD80gLdAguLfP3RGlPYGX5g/t2J/2T15mD9NFYxK6gTsP/p+arx0k5g/+THmriXk3z89m1Wfq62YP49TdCSX/+o/gLdAguLHmD/D0ytlGeKYP0Jg5dAi2+M/B/AWSFD8mD8kufyH9NvjP0Jg5dAi2+U/SgwCK4cWmT+NKO0NvjCZP73jFB3J5d8/0ETY8PRKmT8kufyH9NvlPxNhw9MrZZk/Vn2utmJ/mT+amZmZmZmZP4GVQ4ts598/TfOOU3Qk5z/dtYR80LOZPzj4wmSqYO4/INJvXwfOmT9j7lpCPuiZPzBMpgpGJec/CKwcWmQ76T9VwaikTkDvP0VHcvkP6d8/pgpGJXUCmj/pJjEIrByaPxDpt68D5+4/LUMc6+I2mj9wXwfOGVGaPwn5oGez6t8/sAPnjCjt6z/Oqs/VVuzfP7N78rBQa5o/9pfdk4eFmj85tMh2vp+aP5Jc/kP67d8/fPKwUGua7z8Z4lgXt9HqP33Qs1n1uZo/U5YhjnVx7T8Spb3BFybnP8Dsnjws1Jo/9P3UeOkm5z8GEhQ/xtzjP+hqK/aX3eM/Vg4tsp3v3z/7OnDOiNLqPwMJih9j7po/RiV1ApoImz/qBDQRNjzpP4lBYOXQIps/XdxGA3gL6j/AWyBB8WPuP8xdS8gHPZs/GsBbIEHx3z84Z0Rpb/DvPxB6Nqs+V5s/JzEIrBxa7j8GEhQ/xtzlP1OWIY51cZs/ysNCrWne4z+WsgxxrIubP9nO91PjpZs/HOviNhrAmz/WVuwvuyfnP18HzhlR2ps/oyO5/If0mz/mP6Tfvg6cPxE2PL1Slu8/KVyPwvUonD/ecYqO5PLfP5ayDHGsi+0/2PD0SlmG7j+sHFpkO9/jP2x4eqUsQ5w/r5RliGNdnD/ysFBrmnecP7hAguLHmOs/oyO5/If03z82zTtO0ZGcP3npJjEIrJw/vAUSFD/GnD//If32deCcP8xdS8gHPek/Z9Xnaiv23z8rhxbZzvffP0I+6Nms+pw/M8SxLm6j7z+GWtO84xSdP8l2vp8aL50/DJOpglFJnT/c14FzRpTsP+84RUdy+d8/jnVxGw3g4z/oaiv2l93lP0+vlGWIY50/fa62Yn/Z6z8ijnVxGw3oP5LLf0i/fZ0/1edqK/aXnT/wFkhQ/BjtPxkEVg4tsp0/s+pztRX73z9cIEHxY8ydP588LNSa5p0/eJyiI7n83z/iWBe30QCePyV1ApoIG54/PE7RkVz+3z8AAAAAAADgP2iR7Xw/NZ4/cM6I0t7g4z/DZKpgVFLrP6yt2F92T54/78nDQq1pnj+OBvAWSFDsP7ivA+eMKOc/MuauJeSDnj/7XG3F/rLtP3UCmggbnp4/uB6F61G4nj/7OnDOiNKeP+JYF7fRAOA/+THmriXk7T/y0k1iEFjvP5oIG55eKec/FmpN845T7j+gibDh6ZXqP8SxLm6jAeA/pgpGJXUC4D8/V1uxv+yeP662Yn/ZPek/gnNGlPYGnz98YTJVMCrnP8WPMXctIZ8/EhQ/xty16D9AE2HD0yvrPwisHFpkO58/9GxWfa626D+IY13cRgPgP2q8dJMYBOA/S8gHPZtVnz9NFYxK6gTgP4/k8h/Sb58/0gDeAgmKnz8VHcnlP6SfPy9uowG8BeA/WDm0yHa+nz+bVZ+rrdifP95xio7k8p8/ysNCrWne5T8Rx7q4jQagPz81XrpJDOo/MlUwKqkToD9U46WbxCCgPxHHuriNBuA/ppvEILBy7j/zH9JvXwfgP9V46SYxCOA/XrpJDAIr5z9xrIvbaADrP3ZxGw3gLaA/VcGopE5A7T+C4seYu5bqP5f/kH77OqA/uY0G8BZIoD+sHFpkO9/lP7fRAN4CCeA/2ht8YTJVoD/WxW00gLfoP/yp8dJNYqA/Rdjw9EpZ6j9AE2HD0yvnPx04Z0Rpb6A/P8bctYR8oD9hVFInoImgP5LLf0i/fe8/mSoYldQJ4D+C4seYu5agP2iR7Xw/Ne4/UiegibDh4z80gLdAguLjP6RwPQrXo6A/1CtlGeJY7z97gy9MpgrgP0T67evAOe0/xf6ye/KwoD/njCjtDb6gPwkbnl4py6A/nDOitDf47D8qqRPQRNigP0w3iUFg5aA/F9nO91Pj4z9txf6ye/KgPyJseHqlLOc/+THmriXk4z8pyxDHurjrP13cRgN4C+A/PzVeukkM4D8ijnVxGw3gP1MFo5I6Aes/j1N0JJf/oD8nMQisHFrqP2/whclUwew/seHplbIMoT+4HoXrUbjoP9JvXwfOGaE/9P3UeOkmoT+OdXEbDeDlPxWMSuoENKE/BOeMKO0N4D8E54wo7Q3oP9uK/WX35OM/veMUHcnl4z83GsBbIEGhP1ioNc07TqE/ejarPldboT+fPCzUmubjP5zEILByaKE/5j+k374O6D+9UpYhjnWhPwXFjzF3Lec/3+ALk6mCoT/mP6Tfvg7gP8iYu5aQD+A/XkvIBz2b7z+q8dJNYhDgPyKOdXEbDeo/cF8HzhlR7D8Ab4EExY+hPyL99nXgnKE/jErqBDQR4D9Ei2zn+6mhP26jAbwFEuA/ZRniWBe3oT+Hp1fKMsShP6g1zTtO0aE/0gDeAgmK7z/Kw0Ktad6hP+xRuB6F66E/UPwYc9cS4D8E54wo7Q3qPw3gLZCg+KE/bVZ9rrZi7z8vbqMBvAWiP1D8GHPXEqI/coqO5PIfoj+TGARWDi2iP7WmeccpOqI/1zTvOEVHoj/4wmSqYFSiPxpR2ht8YaI/kQ96Nqs+6T8730+Nl26iPzJVMCqpE+A/XW3F/rJ7oj8UrkfhehTgP3Noke18P+k/9wZfmEwV4D9/+zpwzoiiP9lfdk8eFuA/oImw4emVoj+lvcEXJlPrP8IXJlMFo6I/46WbxCCwoj+7uI0G8BbgP5+rrdhfdu8/BTQRNjy9oj8nwoanV8qiP36MuWsJ+ew/gZVDi2zn4z9IUPwYc9eiPwmKH2PuWuo/nRGlvcEX4D9q3nGKjuSiP39qvHSTGOA/i2zn+6nxoj+t+lxtxf6iP86I0t7gC6M/9bnaiv1l7z9j7lpCPujjP/AWSFD8GKM/hxbZzvdT6z9FR3L5D+njPxKlvcEXJqM/MzMzMzMzoz/P91PjpZvuP2HD0ytlGeA/VcGopE5Aoz92Tx4Wak2jP5jdk4eFWqM/umsJ+aBnoz9wzojS3uDlP0Mc6+I2GuA/5x2n6Egu5z9SJ6CJsOHlP9v5fmq8dKM//Yf029eBoz/Jdr6fGi/nP/W52or9Ze0/J6CJsOHp4z8eFmpN846jP0Ck374OnKM/R3L5D+m36T8J+aBns+rjP5qZmZmZmes/YTJVMCqpoz+DwMqhRbajP8iYu5aQD+g/pU5AE2HDoz80gLdAguLlP8bctYR80KM/6Gor9pfdoz8J+aBns+qjPyuHFtnO96M/1lbsL7sn7z/VeOkmMQjuP00VjErqBKQ/bqMBvAUSpD/sUbgehevjP5Axdy0hH6Q/sb/snjwspD+iRbbz/dTuPyV1ApoIG+A/001iEFg5pD8pyxDHurjpPwfOGVHaG+A/9dvXgXNGpD8LJCh+jLnpPxZqTfOOU6Q/NxrAWyBB7T84+MJkqmCkP3gLJCh+jO0/6Nms+lxt7T8T8kHPZtXvP/jCZKpgVO4/WYY41sVtpD97FK5H4XqkP5yiI7n8h6Q/vjCZKhiVpD/gvg6cM6KkPwFNhA1Pr6Q/I9v5fmq8pD/Oqs/VVuzjP0Rpb/CFyaQ/ZvfkYaHWpD/pJjEIrBzgP8x/SL99HeA/rthfdk8e4D9kO99PjZfqPxfZzvdT4+U/RpT2Bl+Y6j/7OnDOiNLuP5Axdy0hH+A/iIVa07zjpD+pE9BE2PCkP8uhRbbz/aQ/7C+7Jw8LpT9VwaikTkDpP96Th4Va0+o/sAPnjCjt4z8OvjCZKhilPzBMpgpGJaU/UdobfGEypT9zaJHtfD+lP5Axdy0hH+w/lPYGX5hMpT+2hHzQs1mlP9cS8kHPZqU/IR/0bFZ97j/5oGez6nOlPxsv3SQGgaU/PL1SliGOpT9eS8gHPZulP3/ZPXlYqKU/oWez6nO1pT/D9Shcj8KlP+SDns2qz6U/BhIUP8bcpT8noImw4emlP78OnDOitO8/NxrAWyBB6T9JLv8h/falP6vP1VbsL+c/mnecoiO56D/5MeauJeTlP5Jc/kP67eM/arx0kxgEpj+NKO0NvjDnP4xK6gQ0EaY/rthfdk8epj/PZtXnaiumP3KKjuTyH+A/24r9Zffk5T/A7J48LNTqP/H0SlmGOKY/lWWIY13c7j8Sg8DKoUWmP3S1FfvL7uM/5j+k374O6j9WDi2yne/jPzQRNjy9UqY/Vp+rrdhfpj9EaW/whcnuP1TjpZvEIOA/dy0hH/Rspj+Zu5aQD3qmP7pJDAIrh+4/ukkMAiuHpj9vgQTFjzHnP9zXgXNGlKY/OGdEaW/w4z8awFsgQfHjPynLEMe6uO0/veMUHcnl5T/+ZffkYaGmPx/0bFZ9rqY/vVKWIY516z/8GHPXEvLjPzY8vVKWIeA/QYLix5i7pj+fPCzUmublP2IQWDm0yKY/hJ7Nqs/Vpj+lLEMc6+KmP8e6uI0G8KY/6Ugu/yH9pj8K16NwPQqnPyxlGeJYF6c/3nGKjuTy4z9N845TdCSnP1HaG3xhMuc/b4EExY8xpz9NFYxK6gTuP5EPejarPqc/sp3vp8ZLpz8YldQJaCLgP+xRuB6F6+8/1CtlGeJYpz+BlUOLbOflP3KKjuTyH+w/qFfKMsSx7D8Zc9cS8kHpP/W52or9Zac/F0hQ/Bhzpz/67evAOSPgPznWxW00gKc/yJi7lpAP6j9aZDvfT42nP3zysFBrmqc/nYAmwoanpz/cRgN4CyTgP78OnDOitKc/4JwRpb3Bpz8CK4cW2c6nPyS5/If026c/RUdy+Q/ppz/ufD81XrrpP76fGi/dJOA/qvHSTWIQ6j8qqRPQRNjsP2fV52or9qc/iGNd3EYDqD+q8dJNYhCoP8x/SL99Hag/7Q2+MJkqqD8PnDOitDeoP8HKoUW28+M/MCqpE9BEqD9SuB6F61GoPzLmriXkg+w/dEaU9gZfqD+jI7n8h/TjP6H4MeauJeA/ldQJaCJsqD+DUUmdgCbgP2WqYFRSJ+A/RwN4CyQo4D+3Yn/ZPXmoP9jw9EpZhqg/+n5qvHSTqD8bDeAtkKCoPz2bVZ+rrag/hXzQs1n14z9fKcsQx7qoP4C3QILix6g/okW28/3UqD/D0ytlGeKoP+VhodY076g/KVyPwvUo4D8LtaZ5xyngPzSitDf4wu4/B/AWSFD8qD9g5dAi2/nsPyh+jLlrCak/5j+k374O7j9KDAIrhxapP2fV52or9uM/a5p3nKIjqT+NKO0NvjCpP662Yn/ZPak/MzMzMzMz5z8VjErqBDTnP9BE2PD0Sqk/0NVW7C+76T/y0k1iEFipPxNhw9MrZak/Ne84RUdyqT9j7lpCPujlP+0NvjCZKuA/Vn2utmJ/qT990LNZ9bnoPyJseHqlLOs/eAskKH6MqT/PZtXnaivgP5qZmZmZmak/uycPC7WmqT/dtYR80LOpP5+rrdhfdus//kP67evAqT+8BRIUP8buPyDSb18Hzqk/NV66SQwC6z9CYOXQItupP2PuWkI+6Kk/XynLEMe66D+yLm6jAbzpP4V80LNZ9ak/pgpGJXUCqj+xv+yePCzgP0VHcvkP6eU/kxgEVg4t4D/ImLuWkA+qP/vL7snDQuk/6SYxCKwcqj8p7Q2+MJnqPwu1pnnHKao/LUMc6+I2qj8noImw4enlP90kBoGVQ+k/H/RsVn2u7j92cRsN4C3gP07RkVz+Q6o/cF8HzhlRqj+R7Xw/NV6qP7Pqc7UV++8/s3vysFBrqj/VCWgibHiqP/aX3ZOHhao/SS7/If324z8YJlMFo5KqP1jKMsSxLuA/OiNKe4Mv4D85tMh2vp+qP0GC4seYu+g/W0I+6Nmsqj990LNZ9bmqP55eKcsQx6o/9+RhodY05z8cfGEyVTDgPyuHFtnO9+M/DeAtkKD44z8FxY8xdy3rP+84RUdy+eM/wOyePCzUqj+/fR04Z0TpP/7UeOkmMeA/4C2QoPgx4D/hehSuR+GqPwMJih9j7qo/0ZFc/kP64z8kl/+QfvuqP6HWNO84Rek/RiV1ApoIqz9os+pztRWrP4lBYOXQIqs/q8/VVuwvqz/MXUvIBz2rP+7rwDkjSqs/s+pztRX74z8QejarPlerPzEIrBxaZKs/U5YhjnVxqz/ZPXlYqDXnP3Qkl/+Qfqs/lrIMcayLqz+WQ4ts5/vjP7hAguLHmKs/2c73U+Olqz8j2/l+arzoP/tcbcX+sqs/HOviNhrAqz8+eVioNc2rP18HzhlR2qs/eJyiI7n84z+BlUOLbOerP6MjufyH9Ks/xLEubqMBrD/mP6Tfvg6sP4GVQ4ts5+8/WvW52or94z8HzhlR2husPwU0ETY8veg/jErqBDQR6j8LJCh+jLnrPylcj8L1KKw/S+oENBE2rD9seHqlLEOsPzxO0ZFc/uM/woanV8oy4D8m5IOezartP44G8BZIUKw/r5RliGNdrD/RItv5fmqsP/KwUGuad6w/FD/G3LWErD/99nXgnBHtP5Jc/kP67es/qvHSTWIQ6D82zTtO0ZGsP6Tfvg6cM+A/uY0G8BZI7j9XW7G/7J6sP3npJjEIrKw/C0YldQKa6j+GONbFbTTgPx6n6Egu/+M/okW28/3U6j/nHafoSC7rP9JvXwfOGe0/jErqBDQR6D+ad5yiI7msP/fkYaHWNO0/ZF3cRgN47T/dtYR80LPtP7wFEhQ/xqw/3pOHhVrTrD//If32deCsP2iR7Xw/NeA/IbByaJHtrD9L6gQ0ETbgP0I+6Nms+qw/fh04Z0Rp7z+KsOHplbLsP6rx0k1iEO4/LUMc6+I24D8AAAAAAADkP2TMXUvIB60/6Ugu/yH97j+GWtO84xStP3zysFBrmus/p+hILv8hrT/r4jYawFvqP8l2vp8aL60/6gQ0ETY8rT8PnDOitDfgP/H0SlmGOOA/bqMBvAUS6D8Mk6mCUUmtPy0hH/RsVq0/001iEFg54D9Pr5RliGOtP3E9CtejcK0/kst/SL99rT+Uh4Va07zpP7RZ9bnaiq0/CfmgZ7Pq5T+1pnnHKTrgP9xoAG+BBO0/UPwYc9cS6D+8lpAPejbnP5f/kH77OuA/1edqK/aXrT8jSnuDL0zuP/d14JwRpa0/GQRWDi2yrT86kst/SL+tP1wgQfFjzK0/fa62Yn/ZrT/iWBe30QDkP9/gC5Opgu8/eVioNc074D+fPCzUmuatP1uxv+yePOA/wcqhRbbzrT89CtejcD3gPyBj7lpCPuA/4lgXt9EArj8CvAUSFD/gP807TtGRXOo/7FG4HoXr5T8E54wo7Q2uP+QUHcnlP+A/zqrP1Vbs5T8ldQKaCBuuP/kx5q4l5O8/xm00gLdA4D9HA3gLJCiuP2iR7Xw/Na4/ih9j7lpCrj/EsS5uowHkP7AD54wo7eU/rK3YX3ZPrj+oxks3iUHgP807TtGRXK4/78nDQq1prj8QWDm0yHauPzLmriXkg64/VHQkl/+Qrj+u2F92Tx7uP4ofY+5aQuA/DAIrhxbZ7D91ApoIG56uP2x4eqUsQ+A/7nw/NV666z+XkA96NquuP7gehetRuK4/2qz6XG3Frj9O0ZFc/kPgP/s6cM6I0q4/HcnlP6Tfrj8/V1uxv+yuP2Dl0CLb+a4/gnNGlPYGrz+jAbwFEhSvPzAqqRPQROA/r5RliGNd6j/FjzF3LSGvPxKDwMqhReA/5x2n6Egurz+mCkYldQLkP/Xb14FzRuA/1zTvOEVH4D8IrBxaZDuvPyo6kst/SK8/sAPnjCjt7T9LyAc9m1WvP3bgnBGlvek/uY0G8BZI4D/oaiv2l93tP21Wfa62Yq8/m+Ydp+hI4D+P5PIf0m+vP7ByaJHtfK8/0gDeAgmKrz+e76fGSzfnPxe30QDeAus/845TdCSXrz99PzVeukngPxUdyeU/pK8/iGNd3EYD5D9uowG8BRLqPzarPldbsa8/WDm0yHa+rz96xyk6ksuvP/kP6bevA+s/m1Wfq63Yrz+Y3ZOHhVrtP1+YTBWMSuA/veMUHcnlrz/ecYqO5PKvPzJVMCqpE+g/QfFjzF1L4D+ASL99HTjnP/5D+u3rwO0/54wo7Q2+6D8AAAAAAACwPyUGgZVDi+4/I0p7gy9M4D+DL0ymCkbvPxHHuriNBrA/klz+Q/rt5T8ijnVxGw2wP1g5tMh2vuk/BaOSOgFN4D9qvHSTGATkPzJVMCqpE7A/63O1FfvL7D/n+6nx0k3gP0Mc6+I2GrA/ylTBqKRO4D90JJf/kH7tP5T2Bl+YTO0/TRWMSuoE5D/XNO84RUfuP0GC4seYu+4/VOOlm8QgsD/Jdr6fGi/rP2WqYFRSJ7A/dnEbDeAtsD+GONbFbTSwP5f/kH77OrA/FK5H4XoU6D+srdhfdk/gP6jGSzeJQbA/YqHWNO845z+5jQbwFkiwP8pUwaikTrA/2ht8YTJVsD+OBvAWSFDgP4MvTKYKRuk/6+I2GsBbsD+R7Xw/NV7qP3S1FfvL7uU//Knx0k1isD8vbqMBvAXkP1vTvOMUHe8/RPrt68A55z9wXwfOGVHgP/cGX5hMFeg/FD/G3LWE7D8NcayL22iwPx04Z0Rpb7A/Ece6uI0G5D/J5T+k377oP18HzhlR2us/2V92Tx4W6D9SuB6F61HgPy7/If32dbA/P8bctYR8sD/XEvJBz2btPzQRNjy9UuA/FmpN845T4D9QjZduEoOwP2FUUiegibA/Vg4tsp3v5T8mUwWjkjrnPzhnRGlv8OU/cRsN4C2QsD+C4seYu5awP5OpglFJnbA/pHA9CtejsD++wRcmUwXtP/Mf0m9fB+Q/XkvIBz2b6z+1N/jCZKqwP8X+snvysLA/ylTBqKRO7j+t+lxtxf7uP/jCZKpgVOA/1sVtNIC3sD/njCjtDb6wP/hT46WbxLA/1XjpJjEI5D/aG3xhMlXgPwkbnl4py7A/GeJYF7fRsD8bDeAtkKDsPyqpE9BE2LA/t9EA3gIJ5D8RNjy9UpbtP7x0kxgEVuA/O3DOiNLesD8Zc9cS8kHtP2aIY13cRuk/u7iNBvAW6D9I4XoUrkfpP0w3iUFg5bA/7MA5I0p77z+6awn5oGftP5/Nqs/VVuA/Xf5D+u3rsD9txf6ye/KwP36MuWsJ+bA/UPwYc9cS6j/2l92Th4XsP49TdCSX/7A/oBov3SQGsT+x4emVsgyxP4EmwoanV+A/waikTkATsT+F61G4HoXvP3WTGARWDu8/0m9fB84ZsT8awFsgQfHlPyo6kst/SOk/hJ7Nqs/V6j/jNhrAWyCxP/T91HjpJrE/BcWPMXctsT8yVTAqqRPqPxWMSuoENLE/JlMFo5I6sT++MJkqGJXsP6Fns+pzte8/oImw4emV7D9jf9k9eVjgPwyTqYJRSek/NxrAWyBBsT9I4XoUrkexP0XY8PRKWeA/WKg1zTtOsT9pb/CFyVSxP3RGlPYGX+o/ejarPldbsT9mZmZmZmbsP1TjpZvEIOw/5BQdyeU/7j/8GHPXEvLlP+7rwDkjSuk/i/1l9+RhsT+cxCCwcmixP5kqGJXUCeQ/3nGKjuTy5T+si9toAG+xP71SliGOdbE/zhlR2ht8sT/f4AuTqYKxP1r1udqK/e8/8KfGSzeJsT8Ab4EExY+xPycxCKwcWuA/ETY8vVKWsT9MpgpGJXXsPyL99nXgnLE/M8SxLm6jsT9eukkMAivvP50Rpb3BF+g/RIts5/upsT9UUiegibCxP2UZ4lgXt7E/duCcEaW9sT/ByqFFtvPlPwmKH2PuWuA/h6dXyjLEsT+YbhKDwMqxP6g1zTtO0bE/ufyH9NvXsT97gy9MpgrkP8rDQq1p3rE/XdxGA3gL5D8IrBxaZDvnP9uK/WX35LE/6gQ0ETY85z9m9+RhodbqP+viNhrAW+A/m+Ydp+hI7j9/arx0kxjoP6d5xyk6ku8/7FG4HoXrsT/8GHPXEvKxP/H0SlmGOOw/DeAtkKD4sT/NO07RkVzgPx6n6Egu/7E/L26jAbwFsj9hw9MrZRnoP6MjufyH9OU/PzVeukkM5D+FfNCzWfXlPz81XrpJDLI/UPwYc9cSsj+vlGWIY13gP4v9ZffkYe8/YcPTK2UZsj9yio7k8h+yP6s+V1uxv+g/FK5H4XoU6j+dEaW9wRfuP/cGX5hMFeo/0ETY8PRK6T+R7Xw/NV7gP2wJ+aBns+w/g1FJnYAmsj+TGARWDi2yP6Tfvg6cM7I/Z9Xnaiv25T9DHOviNhroP8rDQq1p3u0/taZ5xyk6sj90RpT2Bl/gP1afq63YX+A/xm00gLdAsj/XNO84RUeyP+f7qfHSTbI/OPjCZKpg4D/4wmSqYFSyP7Kd76fGS+k/CYofY+5asj9JLv8h/fblPxpR2ht8YbI/KxiV1Alosj++MJkqGJXuPzvfT42XbrI/zF1LyAc95z/ZX3ZPHhbqP8l2vp8aL+8/TKYKRiV1sj9dbcX+snuyP240gLdAgrI/f/s6cM6Isj/QRNjw9ErvPyuHFtnO9+U/j8L1KFyPsj8N4C2QoPjlP662Yn/ZPec/oImw4emVsj+xUGuad5yyPxpR2ht8YeA/pN++Dpwz7j/CFyZTBaOyP9Pe4AuTqbI/46WbxCCwsj/8qfHSTWLgP7u4jQbwFuo/9GxWfa62sj9SuB6F61HsPwU0ETY8vbI/FvvL7snDsj8ijnVxGw3kPyfChqdXyrI/BOeMKO0N5D/vOEVHcvnlP5YhjnVxG+8/kQ96Nqs+5z86kst/SL/pP3Noke18P+c/JXUCmggb6D83iUFg5dCyP0hQ/Bhz17I/WRe30QDesj/eAgmKH2PgP42XbhKDwOg/at5xio7ksj96pSxDHOuyP4ts5/up8bI/HOviNhrA6T+cM6K0N/iyP8BbIEHxY+A/rfpcbcX+sj9IUPwYc9fqP1XBqKROQOc/J6CJsOHp7z83GsBbIEHnP50Rpb3BF+o/orQ3+MJk4D9v8IXJVMHoP1JJnYAmwug/B84ZUdob6D9CPujZrPrsP77BFyZTBbM/zojS3uALsz/fT42XbhKzP/AWSFD8GLM/hA1Pr5Rl4D/NzMzMzMzsP2lv8IXJVOs/Ad4CCYofsz80orQ3+MLoP+Y/pN++DuQ/GXPXEvJB5z8Spb3BFyazPxzr4jYawO8/Imx4eqUssz8zMzMzMzOzP/VKWYY41u0/yJi7lpAP5D9E+u3rwDmzP1XBqKROQLM/0ZFc/kP65T817zhFR3LtP2aIY13cRrM/dk8eFmpNsz+q8dJNYhDkP4cW2c73U7M/ZmZmZmZm4D+Y3ZOHhVqzP0i/fR04Z+A/6SYxCKwc6D+MSuoENBHkP6mkTkATYbM/KxiV1Alo4D/+ZffkYaHsP/vL7snDQuc/3SQGgZVD5z+/fR04Z0TnP6HWNO84Rec/dk8eFmpN7T+z6nO1FfvlP26jAbwFEuQ/DXGsi9to4D+6awn5oGezP+2ePCzUmuo/78nDQq1p4D+WQ4ts5/vlP8oyxLEubrM/KqkT0ETY6j/Q1VbsL7vrP9v5fmq8dLM/eJyiI7n85T/swDkjSnuzP/2H9NvXgbM/FvvL7snD6D9Wn6ut2F/qP1D8GHPXEuQ/zH9Iv30d6D8OT6+UZYizP9Ei2/l+auA/HhZqTfOOsz+ze/KwUGvgP1r1udqK/eU/L90kBoGVsz8yVTAqqRPkP5XUCWgibOA/QKTfvg6csz9Ra5p3nKKzP8gHPZtVn+8/YTJVMCqpsz9y+Q/pt6+zP4PAyqFFtrM/QKTfvg6c6z+u2F92Tx7oP5SHhVrTvLM/PE7RkVz+5T8UrkfhehTkP6VOQBNhw7M/gy9MpgpG5z/4U+Olm8ToP7UV+8vuybM/xty1hHzQsz93LSEf9GzgPx6n6Egu/+U/16NwPQrXsz/oaiv2l92zP/kx5q4l5LM/CfmgZ7Pqsz8awFsgQfGzPwAAAAAAAOY/9wZfmEwV5D8rhxbZzvezPzxO0ZFc/rM/TRWMSuoEtD9d3EYDeAu0P+C+Dpwzouw/bqMBvAUStD9ZhjjWxW3gP39qvHSTGLQ/4lgXt9EA5j9TliGOdXHvP5Axdy0hH7Q/gQTFjzF36z8730+Nl27gP6H4MeauJbQ/HThnRGlv4D8AkX77OnDgP+LplbIMceA/sb/snjwstD/ChqdXyjK0P9NNYhBYObQ/5BQdyeU/tD/129eBc0a0PwWjkjoBTbQ/FmpN845TtD8nMQisHFq0Pzj4wmSqYLQ/SL99HThntD9LyAc9m1XrP5T2Bl+YTOk/kDF3LSEf6D/+Q/rt68DpP8SxLm6jAeY/WYY41sVttD9yio7k8h/oP2pN845TdLQ/exSuR+F6tD/EQq1p3nHgP8/3U+Olm+o/ppvEILBy4D+M22gAb4G0P5yiI7n8h7Q/rWnecYqOtD+mCkYldQLmP2aIY13cRuc/iPTb14Fz4D++MJkqGJW0P9lfdk8eFuQ/z/dT46WbtD+IY13cRgPmP7IubqMBvOs/4L4OnDOitD9qvHSTGATmPyDSb18Hzu0/SOF6FK5H5z/whclUwai0P00VjErqBOY/j1N0JJf/7j8BTYQNT6+0PzY8vVKWIew/ak3zjlN04D9MpgpGJXXgPxIUP8bctbQ/Lv8h/fZ14D8j2/l+ary0PzSitDf4wrQ/RGlv8IXJtD9VMCqpE9C0Pyo6kst/SOc/3GgAb4EE6z9aZDvfT43tPy9uowG8BeY/ZvfkYaHWtD93vp8aL920PxBYObTIduA/iIVa07zjtD+YTBWMSuq0P7u4jQbwFuQ/qRPQRNjwtD+62or9Zfe0P8uhRbbz/bQ/2qz6XG3F6D/caABvgQS1P7FQa5p3nOo/Ece6uI0G5j/sL7snDwu1P7wFEhQ/xug/dk8eFmpN6T/99nXgnBG1Pw6+MJkqGLU/8rBQa5p34D8fhetRuB61P9UJaCJseOA/MEymCkYltT9AE2HD0yu1P1HaG3xhMrU/YqHWNO84tT9zaJHtfD+1P4MvTKYKRrU/lPYGX5hMtT8Mk6mCUUnnP6W9wRcmU7U/hetRuB6F7T+2hHzQs1m1P8dLN4lBYLU/1xLyQc9mtT/o2az6XG21P+7rwDkjSuc/+aBns+pztT8Fo5I6AU3uP7dif9k9eeA/TmIQWDm07D8KaCJseHq1Pxsv3SQGgbU/9dvXgXNG7j8r9pfdk4e1P9NNYhBYOew/PL1SliGOtT++wRcmUwXrP02EDU+vlLU/mbuWkA964D97FK5H4XrgP15LyAc9m7U/bxKDwMqhtT9/2T15WKi1P5Cg+DHmrrU/oWez6nO1tT+yLm6jAby1P8P1KFyPwrU/8x/Sb18H5j8KaCJseHrvP9BE2PD0Suc/07zjFB3JtT/kg57Nqs+1P/VKWYY41rU/BhIUP8bctT+eXinLEMfoPxfZzvdT47U/YOXQItv57j+vJeSDns3uPyegibDh6bU/OGdEaW/wtT9JLv8h/fa1P7Kd76fGS+c/WvW52or9tT9U46WbxCDoP2q8dJMYBLY/e4MvTKYKtj+MSuoENBG2P50Rpb3BF7Y/1XjpJjEI5j+u2F92Tx62P11txf6ye+A/vp8aL90ktj8GEhQ/xtzvPz/G3LWEfOA/z2bV52ortj+U9gZfmEznPxTQRNjw9O4/4C2QoPgxtj+gGi/dJAbrP/H0SlmGOLY/ArwFEhQ/tj8Sg8DKoUW2P50Rpb3BF+Q/I0p7gy9Mtj84+MJkqmDqPyEf9GxWfeA/NBE2PL1Stj9/arx0kxjqP5f/kH77Ou4/Rdjw9EpZtj9Wn6ut2F+2P2ZmZmZmZrY/f2q8dJMY5D93LSEf9Gy2P4j029eBc7Y/YcPTK2UZ5D8DeAskKH7gP5m7lpAPerY/DAIrhxbZ6j/l0CLb+X7gP6qCUUmdgLY/JlMFo5I67T+ppE5AE2HvP7pJDAIrh7Y/Iv32deCc6z+At0CC4sfoP8sQx7q4jbY/xyk6kst/4D/c14FzRpS2P3ZPHhZqTec/7Z48LNSatj9YqDXNO07pP/5l9+RhobY/Di2yne+ntj8K16NwPQrtPx/0bFZ9rrY/MLsnDwu1tj9DHOviNhrkP0GC4seYu7Y/UkmdgCbCtj+qglFJnYDgPzsBTYQNT+k/YhBYObTItj8ldQKaCBvkP7fRAN4CCeY/c9cS8kHPtj+Ens2qz9W2P5VliGNd3LY/4JwRpb3B6T+M22gAb4HgP6UsQxzr4rY/bjSAt0CC4D9YqDXNO07nPzsBTYQNT+c/UI2XbhKD4D80ETY8vVLsP7bz/dR46bY/WmQ730+N7z/HuriNBvC2P9iBc0aU9rY/6Ugu/yH9tj/5D+m3rwO3PwrXo3A9Crc/G55eKcsQtz8y5q4l5IPgPyxlGeJYF7c/PSzUmuYdtz8HzhlR2hvkP03zjlN0JLc/XrpJDAIrtz9iEFg5tMjoP2+BBMWPMbc/RGlv8IXJ6D+ASL99HTi3P5EPejarPrc/odY07zhFtz8vbqMBvAXsP7Kd76fGS7c/w2SqYFRStz8UP8bctYTgP9QrZRniWLc/mSoYldQJ5j/l8h/Sb1+3P3uDL0ymCuY/XdxGA3gL5j/1udqK/WW3P/aX3ZOHheA/PujZrPpc7z8GgZVDi2y3PxdIUPwYc7c/KA8LtaZ5tz/Y8PRKWYbgP4xK6gQ0Ee4/OdbFbTSAtz9JnYAmwoa3P1pkO99Pjbc/ayv2l92Ttz988rBQa5q3P7pJDAIrh+A/w/UoXI/C6T8dWmQ730/pP2B2Tx4Wau8/YcPTK2UZ6j+MuWsJ+aC3P3S1FfvL7us/J8KGp1fK6D/pJjEIrBzkP7WmeccpOuw/zH9Iv30d5D+jI7n8h/TtPwkbnl4py+g/UrgehetR7j+dgCbChqe3P65H4XoUrrc/vw6cM6K0tz+vJeSDns3sP9DVVuwvu7c/4JwRpb3Btz/xY8xdS8i3PwIrhxbZzrc/ke18PzVe7j8T8kHPZtW3PyS5/If027c/NIC3QILitz9FR3L5D+m3P1YOLbKd77c/Z9Xnaiv2tz94nKIjufy3P4hjXdxGA7g/mSoYldQJuD+lvcEXJlPtPx1aZDvfT+c/qvHSTWIQuD+coiO5/IfgP3/7OnDOiOA/u7iNBvAWuD/Mf0i/fR24P/+ye/KwUOk/3EYDeAskuD/tDb4wmSq4P/7UeOkmMbg/l/+Qfvs67D8PnDOitDe4P2dEaW/whe0/IGPuWkI+uD8wKqkT0ES4P2FUUiegieA/QfFjzF1LuD+u2F92Tx7kP1K4HoXrUbg/Q61p3nGK4D//snvysFDnP6VOQBNhw+k/Y3/ZPXlYuD8/NV66SQzmP8oyxLEubu0/dEaU9gZfuD+QMXctIR/kP+ELk6mCUec/hA1Pr5RluD8aUdobfGHqPyUGgZVDi+A/ldQJaCJsuD9yio7k8h/kPyL99nXgnO0/845TdCSX7T8HX5hMFYzgP9jw9EpZhuw/FmpN845T7D/nHafoSC7vP6abxCCwcrg/t2J/2T15uD8ijnVxGw3mPwTnjCjtDeY/6bevA+eM4D9U46WbxCDkP8cpOpLLf7g/k6mCUUmd6j+Cc0aU9gbrP4enV8oyxOk/yxDHuriN4D+MuWsJ+aDvP9jw9EpZhrg/5j+k374O5j/pt68D54y4P/p+arx0k7g/rWnecYqO4D/sL7snDwvtPwtGJXUCmrg/Njy9UpYh5D+PwvUoXI/gPxsN4C2QoLg/LNSa5h2nuD/ImLuWkA/mP6W9wRcmU+8/PZtVn6utuD9OYhBYObS4P18pyxDHurg/GJXUCWgi5D9v8IXJVMG4P/rt68A5I+Q/gLdAguLHuD+7Jw8LtabvP9xGA3gLJOQ/qvHSTWIQ5j+MSuoENBHmP3EbDeAtkOA/Qxzr4jYa6j+Rfvs6cM64P76fGi/dJOQ/VHQkl/+Q4D+iRbbz/dS4P6vP1VbsL+s/63O1FfvL6D+zDHGsi9u4PzY8vVKWIeg/ofgx5q4l5D/D0ytlGeK4P9Sa5h2n6Lg/g1FJnYAm5D/iWBe30QDuP+VhodY077g/9ihcj8L1uD8H8BZIUPy4Pxe30QDeArk/ZapgVFIn5D9uowG8BRLmPyh+jLlrCbk/Ns07TtGR4D85RUdy+Q+5P/yp8dJNYuo/ZMxdS8gH6z9Q/Bhz1xLmP0oMAiuHFrk/W9O84xQduT9rmnecoiO5P3xhMlUwKrk/1QloImx47j/gLZCg+DHuP94CCYofY+o/MlUwKqkT5j/Qs1n1udruPxgmUwWjkuA/jSjtDb4wuT+e76fGSze5PxSuR+F6FOY/rrZif9k9uT91ApoIG57qP799HThnRLk/+n5qvHST4D/QRNjw9Eq5P9zXgXNGlOA/vjCZKhiV4D/hC5OpglG5P/LSTWIQWLk/LpCg+DHm7j8Cmggbnl65PxNhw9MrZbk/JCh+jLlruT817zhFR3K5P0a28/3UeLk/93XgnBGl7z9Wfa62Yn+5P2dEaW/whbk/RwN4CyQo5D94CyQofoy5P/cGX5hMFeY/b4EExY8x7z+gibDh6ZXgP9Sa5h2n6O4/SL99HThn7D9CYOXQItvrP4nS3uALk7k/mpmZmZmZuT+qYFRSJ6C5Pylcj8L1KOQ/qMZLN4lB7j/DZKpgVFLnP7snDwu1prk/zO7Jw0KtuT8LtaZ5xynkP921hHzQs7k/7nw/NV66uT/+Q/rt68C5PwXFjzF3Le0/7Q2+MJkq5D8PC7Wmece5PyDSb18Hzrk/z2bV52or5D/AWyBB8WPqP9lfdk8eFuY/AiuHFtnO7T8xmSoYldS5P0Jg5dAi27k/UiegibDhuT+C4seYu5bgP7u4jQbwFuY/Y+5aQj7ouT90tRX7y+65P4V80LNZ9bk/lkOLbOf7uT8YldQJaCLoP83MzMzMzOg/pgpGJXUCuj+xv+yePCzkP7fRAN4CCbo/ZDvfT42X4D/ImLuWkA+6P9lfdk8eFro/kxgEVg4t5D8ldQKaCBvqP+kmMQisHLo/RiV1ApoI6z9GlPYGX5jgPyh+jLlrCes/Ke0NvjCZ4D/67evAOSO6P+5aQj7o2eo/jSjtDb4w6z+dEaW9wRfmPwu1pnnHKbo/HHxhMlUwuj8LRiV1AprgP+2ePCzUmuA/LUMc6+I2uj/P91PjpZvgPz0K16NwPbo/CtejcD0K6z+30QDeAgnuP5OpglFJne4/orQ3+MJk6j/hC5OpglHpP7FQa5p3nOA/w2SqYFRS6T9O0ZFc/kO6P1+YTBWMSro/f2q8dJMY5j9wXwfOGVG6P4EmwoanV7o/+MJkqmBU7D+vJeSDns3oP/rt68A5I+g/ke18PzVeuj8HzhlR2hvqP6K0N/jCZLo/YcPTK2UZ5j+TqYJRSZ3gP9CzWfW52uo/s3vysFBruj/EQq1p3nG6P9UJaCJseLo/dQKaCBue4D/l0CLb+X66P/aX3ZOHhbo/B1+YTBWMuj8YJlMFo5K6PyntDb4wmbo/MLsnDwu17D85tMh2vp+6P6W9wRcmU+c/Qxzr4jYa5j+HFtnO91PnP0p7gy9Mpro/V1uxv+ye4D9bQj7o2ay6Pw8LtaZ5x+8/bAn5oGezuj8ldQKaCBvmP3lYqDXNO+w/fdCzWfW5uj+Nl24Sg8C6Pzm0yHa+n+A/nl4pyxDHuj8bDeAtkKDgP68l5IOezbo/wOyePCzUuj/Qs1n1udq6P+F6FK5H4bo/pb3BFyZT6T/D0ytlGeLuP9obfGEyVew/V1uxv+ye6j/+ZffkYaHgP+C+DpwzouA/whcmUwWj4D+HFtnO91PpP3ZxGw3gLeQ/8kHPZtXnuj9YyjLEsS7kPwMJih9j7ro/aW/whclU5z8U0ETY8PS6P6RwPQrXo+A/dEaU9gZf7j8kl/+Qfvu6Py0hH/RsVus/NV66SQwCuz9GJXUCmgi7P1fsL7snD7s/aLPqc7UVuz/cRgN4CyToPzojSnuDL+Q/hslUwaik4D8HzhlR2hvmP7MMcayL2+o/eHqlLEMcuz+JQWDl0CK7P0vIBz2bVec/HHxhMlUw5D85tMh2vp/qP2lv8IXJVOk/Vg4tsp3v6z+aCBueXim7P+kmMQisHOY/q8/VVuwvuz/aG3xhMlXuP/7UeOkmMeQ/zH9Iv30d5j+tad5xio7uP7yWkA96Nrs/gLdAguLH7j9oImx4eqXgP76fGi/dJOg/EhQ/xty17D/gLZCg+DHkP67YX3ZPHuY/kDF3LSEf5j9LyAc9m1XpP8xdS8gHPbs/3SQGgZVDuz/u68A5I0q7P0p7gy9MpuA/LSEf9GxW5z//snvysFC7PxB6Nqs+V7s/IEHxY8xduz+Uh4Va07zrPyzUmuYdp+A/MQisHFpkuz/ChqdXyjLkP2kAb4EExek/Qs9m1edquz+k374OnDPkP921hHzQs+8/U5YhjnVxuz8OLbKd76fgP2Rd3EYDeLs/dCSX/5B+uz+GONbFbTTkP4XrUbgehbs/hA1Pr5Rl6j/whclUwajgP3KKjuTyH+Y/aJHtfD815D8bDeAtkKDqP9Pe4AuTqeA/ZF3cRgN46z+1N/jCZKrgP3bgnBGlve8/lrIMcayLuz+neccpOpK7P7hAguLHmLs/kX77OnDO6D9L6gQ0ETbkPxB6Nqs+V+c/Rrbz/dR46z/IBz2bVZ+7P5eQD3o2q+A/VOOlm8Qg5j/ZzvdT46W7P3bgnBGlves/6pWyDHGsuz/7XG3F/rK7P3PXEvJBz+g/CyQofoy5uz8c6+I2GsC7Py1DHOviNuQ/orQ3+MJk7j8tsp3vp8a7P2ZmZmZmZuo/PnlYqDXNuz/+ZffkYaHqP3DOiNLe4O8/8tJNYhBY5z9PQBNhw9O7P1JJnYAmwuw/eekmMQis4D9fB84ZUdq7P7U3+MJkqu4/VTAqqRPQ6D9wzojS3uC7P4GVQ4ts57s/7lpCPujZ7D+SXP5D+u27P1tCPujZrOA/PZtVn6ut4D8f9GxWfa7gP6MjufyH9Ls/s+pztRX7uz82PL1SliHmP8SxLm6jAbw/S1mGONbF7T8BTYQNT6/gP9V46SYxCLw/kX77OnDO7D/mP6Tfvg68PygPC7Wmees/ukkMAiuH7D8PnDOitDfkP/H0SlmGOOQ/9wZfmEwVvD8HzhlR2hu8P0tZhjjWxek/46WbxCCw4D/F/rJ78rDgPxB6Nqs+V+s/7C+7Jw8L6z8YldQJaCK8Pylcj8L1KLw/OiNKe4MvvD/OiNLe4AvtP9QrZRniWOc/001iEFg55D9L6gQ0ETa8P1uxv+yePLw/bHh6pSxDvD99PzVeukm8P44G8BZIULw/n82qz9VWvD83iUFg5dDoP6+UZYhjXbw/wFsgQfFjvD8DCYofY+7uP9Ei2/l+arw/4umVsgxxvD/ysFBrmne8PwN4CyQofrw/GeJYF7fR6D8UP8bctYS8PyUGgZVDi7w/Ns07TtGRvD8YldQJaCLmP+kmMQisHOo/RpT2Bl+YvD9XW7G/7J68P2gibHh6pbw/AJF++zpw7j956SYxCKy8P4qw4emVsrw/mnecoiO5vD+1pnnHKTrkP6hXyjLEseA/qz5XW7G/vD+8BRIUP8a8P83MzMzMzLw/l/+Qfvs65D9vgQTFjzHrP96Th4Va07w/7lpCPujZvD+KsOHplbLgP/8h/fZ14Lw/EOm3rwPnvD+coiO5/IfsP86I0t7gC+s/IbByaJHtvD8ydy0hH/S8P3lYqDXNO+Q/toR80LNZ5z9bsb/snjzkP/rt68A5I+Y/Qj7o2az6vD9TBaOSOgG9P2TMXUvIB70/dZMYBFYOvT+GWtO84xS9P2wJ+aBns+A/PQrXo3A95D+WIY51cRu9P6foSC7/Ib0/uK8D54wovT+Y3ZOHhVrnP/LSTWIQWOs/yJi7lpAP7j/Jdr6fGi+9P9k9eVioNb0/IGPuWkI+5D/cRgN4CyTmP+oENBE2PL0/+8vuycNCvT8Mk6mCUUm9P05iEFg5tOA/WDm0yHa+6z++nxov3STmP6H4MeauJeY/+zpwzojS6D8dWmQ730+9P6H4MeauJeg/LSEf9GxWvT8+6Nms+ly9P0+vlGWIY70/YHZPHhZqvT+DUUmdgCbmPylcj8L1KO4/cT0K16NwvT8kufyH9NvrP4EExY8xd70/vHSTGARW7D8wuycPC7XgPwK8BRIUP+Q/kst/SL99vT+jkjoBTYS9P7RZ9bnair0/BFYOLbKd6z9lqmBUUifmP+QUHcnlP+Q/xSCwcmiRvT/V52or9pe9P+auJeSDnr0/93XgnBGlvT8IPZtVn6u9P/OOU3Qkl+8/ejarPldb5z9Iv30dOGfqP07RkVz+Q+4/zH9Iv30d6j8ZBFYOLbK9PynLEMe6uL0/LbKd76fG6T86kst/SL+9P26jAbwFEu4/S1mGONbFvT8SFD/G3LXgP1wgQfFjzL0/bef7qfHSvT/gvg6cM6LqP1yPwvUoXOc/LSEf9GxW6T8rGJXUCWjqP32utmJ/2b0/jnVxGw3gvT+x4emVsgzrP/RsVn2utuA/nzws1JrmvT+wA+eMKO29Pz7o2az6XOc/wTkjSnuD7z/ByqFFtvO9P9bFbTSAt+A/guLHmLuW7D/RkVz+Q/q9P+JYF7fRAL4/8x/Sb18Hvj8E54wo7Q2+PxSuR+F6FL4/RwN4CyQo5j+DUUmdgCboP4ofY+5aQu4/7zhFR3L57z9Cz2bV52rvPyV1ApoIG74/KVyPwvUo5j82PL1SliG+P67YX3ZPHuo/5WGh1jTv7j/GbTSAt0DkP7gehetRuOA/RwN4CyQovj8PC7WmecfpP6jGSzeJQeQ/WMoyxLEuvj9oke18PzW+PyBB8WPMXec/eVioNc07vj9d3EYDeAvuPwfwFkhQ/O4/UdobfGEy6z+KH2PuWkLkP4ofY+5aQr4/bHh6pSxD5D8Cmggbnl7nP5p3nKIjueA/m+Ydp+hIvj+srdhfdk++P/FjzF1LyOk/ZapgVFIn6D+QMXctIR/qP7x0kxgEVr4/zTtO0ZFcvj/eAgmKH2O+P+/Jw0Ktab4/fdCzWfW54D8LtaZ5xynuPwCRfvs6cL4/kzoBTYQN6z8QWDm0yHa+P9Ei2/l+au4/C7Wmeccp5j/biv1l9+TvP0jhehSuR+8/IR/0bFZ9vj8y5q4l5IO+P0Otad5xir4/VHQkl/+Qvj9fKcsQx7rgP2Q730+Nl74/JJf/kH777D91ApoIG56+P9QrZRniWOs/hslUwaikvj9O0ZFc/kPkP5eQD3o2q74/jnVxGw3g7z+oV8oyxLG+P7gehetRuL4/CmgibHh66z8wKqkT0ETkP+0NvjCZKuY/yeU/pN++vj/arPpcbcW+P+tztRX7y74/+zpwzojSvj8MAiuHFtm+P96Th4Va0+g/HcnlP6Tfvj8H8BZIUPzsPy6QoPgx5r4/P1dbsb/svj9PHhZqTfO+PzMzMzMzM+s/YOXQItv5vj9xrIvbaAC/P3KKjuTyH+o/z2bV52or5j+xv+yePCzmP0cDeAskKOg/07zjFB3J6T+TGARWDi3mP4JzRpT2Br8/QYLix5i74D8Sg8DKoUXkP+XyH9JvX+c/+Q/pt68D7z+TOgFNhA2/P6MBvAUSFL8/tMh2vp8avz8j2/l+arzgP8WPMXctIb8/6Ugu/yH97D9U46WbxCDqP/Xb14FzRuQ/1lbsL7snvz/nHafoSC6/PzhnRGlv8Os/9+RhodY0vz8FNBE2PL3gPwisHFpkO78/x0s3iUFg5z8Zc9cS8kG/P3ZxGw3gLeY/KjqSy39Ivz87AU2EDU+/P9c07zhFR+Q/S8gHPZtVvz9YyjLEsS7mP1yPwvUoXL8/Ece6uI0G7D9tVn2utmK/P34dOGdEab8/54wo7Q2+4D/0bFZ9rrbsP4/k8h/Sb78/n6ut2F92vz/J5T+k377gP7mNBvAWSOQ/OiNKe4Mv5j8GgZVDi2zvP7ByaJHtfL8/wTkjSnuDvz+b5h2n6EjkPxx8YTJVMOY/wOyePCzU6D/SAN4CCYq/P0a28/3UeO8/48eYu5aQvz+rPldbsb/gP/OOU3Qkl78/KVyPwvUo6D8EVg4tsp2/P30/NV66SeQ/jZduEoPA4D/HuriNBvDuP2/whclUweA/FR3J5T+kvz+4rwPnjCjvP1+YTBWMSuQ/UkmdgCbC4D8m5IOezaq/P+zAOSNKe+s/16NwPQrX7T+cxCCwcmjtPzarPldbsb8/R3L5D+m3vz86kst/SL/rP1uxv+yePOw/klz+Q/rt7T/biv1l9+TtP/7UeOkmMeY/NKK0N/jC4D9YObTIdr6/P2kAb4EExb8/escpOpLLvz+KjuTyH9K/P5tVn6ut2L8/rBxaZDvfvz8QejarPlfpP73jFB3J5b8/okW28/3U6D/Oqs/VVuy/P95xio7k8r8/QfFjzF1L5D9fKcsQx7ruP8SxLm6jAe4/7zhFR3L5vz+DwMqhRbbvPwAAAAAAAMA/iGNd3EYDwD8Rx7q4jQbAP/LSTWIQWOk/mSoYldQJwD8ijnVxGw3APxb7y+7Jw+A/1CtlGeJY6T+2hHzQs1npPyNKe4MvTOQ/BaOSOgFN5D+5/If029ftP6rx0k1iEMA/+8vuycNC7T8yVTAqqRPAP4Lix5i7lu4/Xf5D+u3r7D+7uI0G8BbAP0Mc6+I2GsA/C7Wmeccp6D+1FfvL7snpP+f7qfHSTeQ/hJ7Nqs/V6D/Mf0i/fR3AP6mkTkATYec/ylTBqKRO5D8YldQJaCLsP1TjpZvEIMA/BhIUP8bc6z/cRgN4CyTAP5huEoPAyuk/4C2QoPgx5j9lqmBUUifAP4v9ZffkYec/7Q2+MJkqwD92cRsN4C3AP3WTGARWDus/6Gor9pfd6z/+1HjpJjHAP6yt2F92T+Q/hjjWxW00wD+OBvAWSFDkPw+cM6K0N8A/l/+Qfvs6wD8gY+5aQj7AP6jGSzeJQcA/MCqpE9BEwD+5jQbwFkjAP0HxY8xdS8A/ylTBqKROwD9/+zpwzojsP1K4HoXrUcA/2ht8YTJVwD+bVZ+rrdjtP8KGp1fKMuY/Y3/ZPXlYwD9tVn2utmLnP/hT46WbxOA/CyQofoy57T9wXwfOGVHkP+viNhrAW8A/dEaU9gZfwD9SuB6F61HkP6Tfvg6cM+Y/NBE2PL1S5D/8qfHSTWLAPxzr4jYawOs/2qz6XG3F4D+EDU+vlGXAP7wFEhQ/xuA/w/UoXI/C7z8NcayL22jAP5XUCWgibMA/hjjWxW005j8dOGdEaW/AP2iR7Xw/NeY/ppvEILBywD82PL1SliHqP55eKcsQx+A/gLdAguLH4D9m9+RhodboPy7/If32dcA/YhBYObTI4D9PHhZqTfPuP5eQD3o2q+4/veMUHcnl7z+3Yn/ZPXnAPz/G3LWEfMA/xyk6kst/wD9EaW/whcngP1CNl24Sg8A/2PD0SlmGwD+mCkYldQLuPyfChqdXyuA/YVRSJ6CJwD/qlbIMcazvPxZqTfOOU+Q/CRueXinL4D/pt68D54zAP7aEfNCzWes/cRsN4C2QwD9L6gQ0ETbmP/jCZKpgVOQ/+n5qvHSTwD+fzarP1VbsPxiV1AloIuo/AU2EDU+v7j+aCBueXinvP4Lix5i7lsA/C0YldQKawD+TqYJRSZ3APxsN4C2QoMA/whcmUwWj6j/rc7UV+8vgP+cdp+hILu0/escpOpLL6T/ufD81XrrtP6RwPQrXo8A/zczMzMzM4D8s1JrmHafAP7U3+MJkqsA/PZtVn6utwD/F/rJ78rDAP05iEFg5tMA/T6+UZYhj5z+vJeSDns3gP9bFbTSAt8A/XynLEMe6wD/aG3xhMlXkP5F++zpwzuA/P1dbsb/s7D9z1xLyQc/gP6RwPQrXo+o/54wo7Q2+wD+8dJMYBFbkP/rt68A5I+o/Lv8h/fZ17j9v8IXJVMHAP1UwKqkT0OA/+FPjpZvEwD/tDb4wmSroPzeJQWDl0OA/xSCwcmiR7T+At0CC4sfAPxniWBe30eA/CRueXinLwD+Rfvs6cM7AP5/Nqs/VVuQ/tRX7y+7J7T8Z4lgXt9HAP/s6cM6I0uA/okW28/3UwD8qqRPQRNjAP96Th4Va0+A/wOyePCzU4D+zDHGsi9vAPztwzojS3sA/w9MrZRniwD+iRbbz/dTgP0w3iUFg5cA/mN2Th4Va6T/UmuYdp+jAPzEIrBxaZOc/ejarPldb6T+Ens2qz9XgP13+Q/rt68A/ZvfkYaHW4D/lYaHWNO/AP23F/rJ78sA/+u3rwDkj7D9IUPwYc9fgP/YoXI/C9cA/foy5awn5wD8H8BZIUPzAP49TdCSX/8A/z2bV52or6D8qqRPQRNjgP4EmwoanV+Q/LUMc6+I25j8Xt9EA3gLBP84ZUdobfOs/XI/C9Shc6T+xv+yePCzoP2N/2T15WOQ/PL1SliGO7T+gGi/dJAbBP8IXJlMFo+w/KH6MuWsJwT+x4emVsgzBPzlFR3L5D8E/waikTkATwT9F2PD0SlnkP5ZDi2zn++0/SgwCK4cWwT/Sb18HzhnBP1vTvOMUHcE/DAIrhxbZ4D/jNhrAWyDBP2uad5yiI8E/D5wzorQ35j/0/dR46SbBP3xhMlUwKsE/BcWPMXctwT9cIEHxY8zpP+5aQj7o2eA/E2HD0ytl5z+NKO0NvjDBPxWMSuoENME/nu+nxks3wT8mUwWjkjrBP9CzWfW52uA/rrZif9k9wT8nMQisHFrkPzcawFsgQcE/v30dOGdEwT9I4XoUrkfBP9BE2PD0SsE/swxxrIvb4D+VZYhjXdzgP1ioNc07TsE/8fRKWYY45j/hC5OpglHBP2lv8IXJVME/d76fGi/d4D/mriXkg57rP5MYBFYOLeg/8tJNYhBYwT96Nqs+V1vBPw5Pr5RliO8/ApoIG55ewT+L/WX35GHBP/W52or9Zec/pHA9Ctej7D8TYcPTK2XBP5zEILByaME/PQrXo3A97D/n+6nx0k3uPyQofoy5a8E/rIvbaABvwT817zhFR3LBP9NNYhBYOeY/vVKWIY51wT9GtvP91HjBP8gHPZtVn+s/PujZrPpc6T/XEvJBz2bnP84ZUdobfME/CYofY+5a5D9Wfa62Yn/BP9cS8kHPZu8/3+ALk6mCwT9nRGlv8IXBP/Cnxks3icE/dnEbDeAt6D/r4jYawFvkP3gLJCh+jME/taZ5xyk65j8Ab4EExY/BP4nS3uALk8E/ETY8vVKWwT+amZmZmZnBP1kXt9EA3uA/Iv32deCcwT+qYFRSJ6DBPzPEsS5uo8E/uycPC7WmwT9Ei2zn+6nBP807TtGRXOQ/zO7Jw0KtwT9UUiegibDBP921hHzQs8E/ZRniWBe3wT8nwoanV8ruP5jdk4eFWus/V+wvuycP7z/ufD81XrrBPw1xrIvbaOo/duCcEaW9wT/+Q/rt68DBP4enV8oyxME/O3DOiNLe4D+VZYhjXdzqPw8LtaZ5x8E/l/+Qfvs65j+YbhKDwMrBPyDSb18HzsE/eVioNc075j+oNc07TtHBPzGZKhiV1ME/ufyH9NvXwT8dyeU/pN/gP0Jg5dAi28E/ysNCrWnewT9SJ6CJsOHBP/8h/fZ14OA/seHplbIM7T/biv1l9+TBP2PuWkI+6ME/WMoyxLEu6D+vlGWIY13kP+xRuB6F68E/dLUV+8vuwT/8GHPXEvLBP0hQ/Bhz1+g/hXzQs1n1wT9hVFInoInsPw3gLZCg+ME/ke18PzVe5D+WQ4ts5/vBP3RGlPYGX+Q/HqfoSC7/wT/hehSuR+HgP8PTK2UZ4uA/pgpGJXUCwj8vbqMBvAXCP3lYqDXNO+4/t9EA3gIJwj8/NV66SQzCP8iYu5aQD8I/IEHxY8xd6T9YqDXNO07vP1D8GHPXEsI/SZ2AJsKG7T/ZX3ZPHhbCP2HD0ytlGcI/6SYxCKwcwj9yio7k8h/CP/rt68A5I8I/g1FJnYAmwj8LtaZ5xynCP6UsQxzr4uA/Vp+rrdhf5D+TGARWDi3CP9DVVuwvu+0/iIVa07zj4D9q3nGKjuTgP1uxv+yePOY/HHxhMlUwwj+k374OnDPCP588LNSa5u8/LUMc6+I2wj9MN4lBYOXgP/8h/fZ14Ow/taZ5xyk6wj89CtejcD3CP6pgVFInoOs/xm00gLdAwj9O0ZFc/kPCPz0K16NwPeY/1zTvOEVHwj9fmEwVjErCP+f7qfHSTcI/cF8HzhlRwj84+MJkqmDkP/jCZKpgVMI/gSbChqdXwj8gY+5aQj7mP99PjZduEu0/GlHaG3xh5D87cM6I0t7uPwmKH2PuWsI/KqkT0ETY6D9X7C+7Jw/rP5HtfD81XsI/GlHaG3xhwj+itDf4wmTCP/yp8dJNYuQ/KxiV1Alowj8ukKD4MebgP7N78rBQa8I/O99PjZduwj/ZPXlYqDXtP3o2qz5XW+s/xEKtad5xwj+6awn5oGfnP0ymCkYldcI/1QloImx4wj/eAgmKH2PkP11txf6ye8I/5dAi2/l+wj8Q6bevA+fgP240gLdAgsI/ApoIG55e6T+GyVTBqKTqP8BbIEHxY+Q/9pfdk4eFwj9/+zpwzojCP5zEILByaOc/B1+YTBWMwj+itDf4wmTkP4EmwoanV+w/j8L1KFyPwj8YJlMFo5LCP6CJsOHplcI/Ke0NvjCZwj+xUGuad5zCPysYldQJaOw/8kHPZtXn4D+EDU+vlGXkPzm0yHa+n8I/whcmUwWjwj9Ke4MvTKbCP9Pe4AuTqcI/ZmZmZmZm5D8MAiuHFtnoP09AE2HD0+8/W0I+6Nmswj/jpZvEILDCP0Otad5xiuw/c9cS8kHP7j9sCfmgZ7PCP/RsVn2utsI/fdCzWfW5wj8FNBE2PL3CP42XbhKDwMI/FvvL7snDwj+0yHa+nxrtP55eKcsQx8I/J8KGp1fKwj/UmuYdp+jgP68l5IOezcI/ZohjXdxG7z83iUFg5dDCPzSitDf4wuw/wOyePCzUwj9IUPwYc9fCP9CzWfW52sI/tvP91Hjp4D+YTBWMSurgP1kXt9EA3sI/4XoUrkfhwj9q3nGKjuTCP3qlLEMc6+A/8kHPZtXnwj9d/kP67evgP3qlLEMc68I/AwmKH2Puwj/RkVz+Q/rvP2gibHh6peo/7lpCPujZ6D9Iv30dOGfkPysYldQJaOQ/0NVW7C+77z/oaiv2l93vPz9XW7G/7OA/OiNKe4Mv6D8tsp3vp8bvPyGwcmiR7eA/i2zn+6nxwj+TOgFNhA3tPzlFR3L5D+s/liGOdXEb7T8NcayL22jkPxx8YTJVMOg/FYxK6gQ06z8U0ETY8PTCP+/Jw0KtaeQ/AwmKH2Pu4D+cM6K0N/jCPySX/5B++8I/0LNZ9bna6D+t+lxtxf7CPzVeukkMAsM/vsEXJlMFwz9GJXUCmgjDP+VhodY07+A/zojS3uALwz+zDHGsi9voP8e6uI0G8OA//tR46SYx6D9X7C+7Jw/DPwRWDi2yne0/30+Nl24Swz9os+pztRXDP/AWSFD8GMM/h6dXyjLE7z94eqUsQxzDPwHeAgmKH8M/iUFg5dAiwz8Spb3BFybDP5oIG55eKcM/5fIf0m9f6T8ibHh6pSzDP1yPwvUoXOs/q8/VVuwvwz8u/yH99nXsPzMzMzMzM8M/78nDQq1p6j+8lpAPejbDP0T67evAOcM/si5uowG87T/MXUvIBz3DP6kT0ETY8OA/VcGopE5Awz/gLZCg+DHoP4ts5/up8eA/G55eKcsQ6z/dJAaBlUPDP2aIY13cRsM/3EYDeAsk6j9txf6ye/LgPyUGgZVDi+w/0SLb+X5q5D/u68A5I0rDP3ZPHhZqTcM/fh04Z0Rp5z+ze/KwUGvkP/+ye/KwUMM/woanV8oy6D+HFtnO91PDPxB6Nqs+V8M/mN2Th4Vawz8gQfFjzF3DP6mkTkATYcM/pN++Dpwz6D8xCKwcWmTDP7prCfmgZ8M/ldQJaCJs5D9PHhZqTfPgP0LPZtXnasM/yjLEsS5uwz+GONbFbTToP1OWIY51ccM/2/l+arx0wz/WxW00gLfsP2iR7Xw/Neg/MnctIR/04D9kXdxGA3jDP3ctIR/0bOQ/ysNCrWne6z9ZhjjWxW3kP+zAOSNKe8M/dCSX/5B+wz8TYcPTK2XvPxTQRNjw9OA/WKg1zTtO7T/9h/Tb14HDP5VliGNd3Og/tRX7y+7J7z/2KFyPwvXgP4XrUbgehcM/Dk+vlGWIwz+WsgxxrIvDP4y5awn5oOs/HhZqTfOOwz+neccpOpLDPy/dJAaBlcM/O99PjZdu5D+4QILix5jDP0Ck374OnMM/+aBns+pz7z817zhFR3LvP8gHPZtVn8M/sHJoke186z/YgXNGlPbgP1FrmnecosM/2c73U+Olwz9hMlUwKqnDP8dLN4lBYOk/6pWyDHGswz9y+Q/pt6/DP7raiv1l9+A/ArwFEhQ/5j8Jih9j7lruP/tcbcX+ssM/g8DKoUW2wz8LJCh+jLnDP5SHhVrTvMM/nDOitDf44D8c6+I2GsDDP6VOQBNhw8M/kst/SL996z8tsp3vp8bDP7UV+8vuycM/PnlYqDXNwz/G3LWEfNDDP76fGi/dJOo/dCSX/5B+6z9PQBNhw9PDP36MuWsJ+eA//7J78rBQ7z/Xo3A9CtfDP18HzhlR2sM/YOXQItv54D9gdk8eFmrnP+hqK/aX3cM/cM6I0t7gwz/5MeauJeTDP4GVQ4ts58M/CfmgZ7Pqwz+SXP5D+u3DPxrAWyBB8cM/Qj7o2az64D+jI7n8h/TDP/32deCcEes/K4cW2c73wz8kl/+QfvvgP7Pqc7UV+8M/B/AWSFD84D88TtGRXP7DP8SxLm6jAcQ/5BQdyeU/5j8xCKwcWmTtP00VjErqBMQ/Qj7o2az67j/VeOkmMQjEP13cRgN4C8Q/5j+k374OxD93vp8aL93qP26jAbwFEsQ/9wZfmEwVxD9/arx0kxjEPwfOGVHaG8Q/kDF3LSEfxD/GbTSAt0DmPx04Z0Rpb+Q/GJXUCWgixD+h+DHmriXEPylcj8L1KMQ/S+oENBE26D9Cz2bV52rnP7G/7J48LMQ/ofgx5q4l6j8AkX77OnDkPxb7y+7Jw+w/L26jAbwF7j/pSC7/If3gPzojSnuDL8Q/DAIrhxbZ7j8kKH6MuWvnP8KGp1fKMsQ/S+oENBE2xD/LoUW28/3gP6wcWmQ73+s/001iEFg5xD9bsb/snjzEP+QUHcnlP8Q/bHh6pSxDxD94nKIjufzvP/Xb14FzRsQ/fT81XrpJxD8Fo5I6AU3EP44G8BZIUMQ/FmpN845TxD+t+lxtxf7gP49TdCSX/+A/n82qz9VWxD8nMQisHFrEPz55WKg1zek/B1+YTBWM7D+vlGWIY13EP+LplbIMceQ/OPjCZKpgxD9xrIvbaADhP8BbIEHxY8Q/LUMc6+I26D9Iv30dOGfEP9Ei2/l+asQ/HhZqTfOO7T9ZhjjWxW3EP2TMXUvIB+8/4umVsgxxxD9qTfOOU3TEP1MFo5I6AeE/8rBQa5p3xD81XrpJDALhP+F6FK5H4ew/exSuR+F6xD/BqKROQBPvP8RCrWneceQ/A3gLJCh+xD8rGJXUCWjuP4zbaABvgcQ/ppvEILBy5D8Xt9EA3gLhPxQ/xty1hMQ/nKIjufyHxD8GgZVDi2znPyUGgZVDi8Q/+Q/pt68D4T8PnDOitDfoP61p3nGKjsQ/DXGsi9to7D8+6Nms+lzrPzbNO07RkcQ/vjCZKhiVxD/pt68D54zsP4j029eBc+Q/3GgAb4EE4T9GlPYGX5jEP8/3U+Olm8Q/vsEXJlMF4T93vp8aL93oP1dbsb/snsQ/4L4OnDOixD+gGi/dJAbhP9Xnaiv2l+0/aCJseHqlxD8m5IOezarvP99PjZduEus/8IXJVMGoxD+DUUmdgCbqP1wgQfFjzO8/eekmMQisxD8g0m9fB87pPwFNhA1Pr8Q/irDh6ZWyxD8SFD/G3LXEP1Z9rrZif+s/mnecoiO5xD8j2/l+arzEP6s+V1uxv8Q/ak3zjlN05D80orQ3+MLEP7wFEhQ/xsQ/TKYKRiV15D9EaW/whcnEP83MzMzMzMQ/VTAqqRPQxD9ZF7fRAN7oP96Th4Va08Q/ZvfkYaHWxD/uWkI+6NnEP1kXt9EA3uo/f9k9eVio7z87cM6I0t7oP4JzRpT2BuE/ZMxdS8gH4T93vp8aL93EP/8h/fZ14MQ/iIVa07zjxD8Q6bevA+fEP5hMFYxK6sQ/qaROQBNh6T9GJXUCmgjhPyGwcmiR7cQ/KH6MuWsJ4T+pE9BE2PDEPwrXo3A9CuE/7C+7Jw8L4T8u/yH99nXkPzJ3LSEf9MQ/O3DOiNLe6j8QWDm0yHbkP7raiv1l98Q/lIeFWtO87T8gY+5aQj7sP4GVQ4ts5+0/Qj7o2az6xD/LoUW28/3EP1MFo5I6AcU/R3L5D+m37z+L/WX35GHpP9xoAG+BBMU/ZMxdS8gHxT/sL7snDwvFP86I0t7gC+E/dZMYBFYOxT/99nXgnBHFP+jZrPpcbec/WYY41sVt7j+GWtO84xTFPw6+MJkqGMU/seHplbIM4T+TOgFNhA3hP90kBoGVQ+0/8rBQa5p35D+WIY51cRvFP8GopE5AE+s/1QloImx45D8fhetRuB7FPx3J5T+k3+o/t2J/2T155D91kxgEVg7hP6jGSzeJQeY/8fRKWYY46D/9h/Tb14HvP6foSC7/IcU/mbuWkA965D8wTKYKRiXFP7ivA+eMKMU/exSuR+F65D9dbcX+snvkPxBYObTIduw/QBNhw9MrxT/zH9JvXwfsP0p7gy9Mpuo/yXa+nxovxT+jAbwFEhTrPzQRNjy9Uu4/V+wvuycP4T9R2ht8YTLFP9k9eVioNcU/OUVHcvkP4T9iodY07zjFP+oENBE2PMU/wOyePCzU7j9zaJHtfD/FP/vL7snDQsU/P8bctYR85D+DL0ymCkbFPxueXinLEOE//fZ14JwR4T+KH2PuWkLmPz81XrpJDO4/DJOpglFJxT8hH/RsVn3kP5T2Bl+YTMU/HVpkO99PxT+lvcEXJlPFP99PjZduEuE/hlrTvOMU6z8tIR/0bFbFP/JBz2bV5+4/waikTkAT4T+2hHzQs1nFPz7o2az6XMU/x0s3iUFgxT+jAbwFEhThP0+vlGWIY8U/1xLyQc9mxT9tVn2utmLpPwIrhxbZzuk/001iEFg56D9gdk8eFmrFP+SDns2qz+k/hlrTvOMU4T/o2az6XG3FP3E9CtejcMU/+aBns+pzxT+BBMWPMXfFPwpoImx4esU/kst/SL99xT9vEoPAyqHrPxsv3SQGgcU/MQisHFpk7z/r4jYawFvuP9V46SYxCOw/o5I6AU2ExT8r9pfdk4fFP7RZ9bnaisU/PL1SliGOxT/FILByaJHFP3o2qz5XW+0/v30dOGdE7T/tDb4wmSruP02EDU+vlMU/hslUwaik7D/V52or9pfFP9ZW7C+7J+0/XkvIBz2bxT/mriXkg57FP2iz6nO1FeE/bxKDwMqhxT/3deCcEaXFP3/ZPXlYqMU/CD2bVZ+rxT+QoPgx5q7FPxkEVg4tssU/oWez6nO1xT9Pr5RliGPpP/hT46WbxOw/KcsQx7q4xT+yLm6jAbzFPwN4CyQofuQ/yjLEsS5u5z86kst/SL/FP1Z9rrZif+0/cT0K16Nw7z9seHqlLEPmP8P1KFyPwsU/HcnlP6Tf6D/l0CLb+X7kP0tZhjjWxcU/SgwCK4cW4T/HKTqSy3/kP9O84xQdycU//yH99nXg6D8sZRniWBfhP1wgQfFjzMU/5IOezarPxT9t5/up8dLFP/VKWYY41sU/qoJRSZ2A5D99rrZif9nFP8GopE5AE+0/BhIUP8bcxT+OdXEbDeDFP4zbaABvgeQ/bjSAt0CC5D8X2c73U+PFPw6+MJkqGOE/nzws1JrmxT/wFkhQ/BjhPyegibDh6cU/sAPnjCjtxT9cj8L1KFztP9JvXwfOGeE/ZapgVFIn6j84Z0Rpb/DFP8HKoUW288U/SS7/If32xT/RkVz+Q/rFP7TIdr6fGuE/rIvbaABv5z9a9bnaiv3FP1CNl24Sg+Q/eHqlLEMc7T8y5q4l5IPkP+JYF7fRAMY/TtGRXP5D5j9qvHSTGATGP/Mf0m9fB8Y/e4MvTKYKxj/RItv5fmrqP5YhjnVxG+E/4XoUrkfh6D+P5PIf0m/nP2Q730+Nl+w/FD/G3LWE5D8E54wo7Q3GP4hjXdxGA+4/Xf5D+u3r7j/4U+Olm8TuP4xK6gQ0EcY/9pfdk4eF5D94eqUsQxzhP1vTvOMUHeE/FK5H4XoUxj+dEaW9wRfGPyV1ApoIG8Y/PSzUmuYd4T+u2F92Tx7GPzY8vVKWIcY/vp8aL90kxj/vycNCrWnuPx+F61G4HuE/RwN4CyQoxj8W+8vuycPuP89m1edqK8Y/WMoyxLEuxj/vycNCrWnsP9jw9EpZhuQ/4C2QoPgxxj+6SQwCK4fkP7x0kxgEVu4/aJHtfD81xj/D0ytlGeLsP/H0SlmGOMY/nKIjufyH5D95WKg1zTvGPwK8BRIUP8Y/ih9j7lpCxj+1pnnHKTroPwHeAgmKH+E/EoPAyqFFxj/LEMe6uI3sP5f/kH77Oug/m+Ydp+hIxj8jSnuDL0zGP6yt2F92T8Y/NBE2PL1Sxj+8dJMYBFbGP0XY8PRKWcY/bxKDwMqh7z/NO07RkVzGPzAqqRPQROY/Vp+rrdhfxj/eAgmKH2PGP2ZmZmZmZsY/78nDQq1pxj93LSEf9GzGPwCRfvs6cMY/aLPqc7UV6z+I9NvXgXPGPxBYObTIdsY//yH99nXg6j/jNhrAWyDhP5m7lpAPesY/IR/0bFZ9xj/FjzF3LSHhP6qCUUmdgMY/MuauJeSDxj+6SQwCK4fGP6foSC7/IeE/LNSa5h2n6j/6fmq8dJPuP0Otad5xisY/dLUV+8vu7T9R2ht8YTLvP8sQx7q4jcY/MQisHFpk6T9UdCSX/5DGP9zXgXNGlMY/ZDvfT42Xxj/tnjws1JrGP3lYqDXNO+g/dQKaCBuexj/G3LWEfNDpP/5l9+RhocY/cT0K16Nw5z9/+zpwzojkP4bJVMGopMY/Di2yne+nxj9hVFInoInkP5eQD3o2q8Y/H/RsVn2uxj+JQWDl0CLhP2uad5yiI+E/qFfKMsSxxj/35GGh1jTrP1OWIY51cec/MLsnDwu1xj+4HoXrUbjGP0GC4seYu8Y/OwFNhA1P7T+jAbwFEhTtPw4tsp3vp+o/yeU/pN++xj9N845TdCThP1JJnYAmwsY/2qz6XG3Fxj9iEFg5tMjGPzBMpgpGJeE/YTJVMCqp7z/rc7UV+8vGPxKlvcEXJuE/Q61p3nGK5D9z1xLyQc/GP7N78rBQa+4/+zpwzojSxj+Ens2qz9XGPwwCK4cW2cY/lWWIY13cxj8dyeU/pN/GPxKDwMqhReY/9P3UeOkm4T/129eBc0bmP0VHcvkP6e8/pSxDHOvixj/WVuwvuyfhP8PTK2UZ4ug/LpCg+DHmxj+4rwPnjCjhP7bz/dR46cY/P1dbsb/sxj/HuriNBvDGP9c07zhFR+Y/Tx4Wak3zxj/YgXNGlPbGPwK8BRIUP+w/Y+5aQj7o7T8zxLEubqPtP2Dl0CLb+cY/RwN4CyQo6j/pSC7/If3GP6HWNO84Re0/JQaBlUOL5D/whclUwajqP3Gsi9toAMc/+Q/pt68Dxz+Cc0aU9gbHPwrXo3A9Csc/mggbnl4p4T98YTJVMCrhP5M6AU2EDcc/XrpJDAIr4T8HX5hMFYzkPxueXinLEMc/owG8BRIUxz9AE2HD0yvhP+F6FK5H4eo/LGUZ4lgXxz/ysFBrmnfsP7TIdr6fGsc/PSzUmuYdxz/FjzF3LSHHP/5D+u3rwOs/TfOOU3Qkxz/WVuwvuyfHP166SQwCK8c/5x2n6Eguxz/pt68D54zkP7mNBvAWSOY/b4EExY8xxz+YTBWMSuruP/fkYaHWNMc/gEi/fR04xz8IrBxaZDvHP5EPejarPsc/yxDHuriN5D+tad5xio7kP6UsQxzr4ug/GXPXEvJBxz8ibHh6pSzhP6HWNO84Rcc/KjqSy39Ixz8FxY8xdy3hP7Kd76fGS8c/OwFNhA1Pxz/DZKpgVFLHP9NNYhBYOe4/S8gHPZtVxz/UK2UZ4ljHP1yPwvUoXMc/5fIf0m9fxz+PwvUoXI/kP3EbDeAtkOQ/bVZ9rrZixz/1udqK/WXHP2Q730+Nl+4/fh04Z0Rpxz/Qs1n1udrsPwaBlUOLbMc/j+TyH9Jvxz8XSFD8GHPHP5+rrdhfdsc/5x2n6Egu4T+IhVrTvOPoP1vTvOMUHe0/VHQkl/+Q5D8oDwu1pnnHP7ByaJHtfMc/Ns07TtGR5D+b5h2n6EjmPznWxW00gMc/yXa+nxov4T+rz9VW7C/hP8E5I0p7g8c/fT81XrpJ5j9JnYAmwobHP9IA3gIJisc/KVyPwvUo6j/gnBGlvcHrP1+YTBWMSuY/WmQ730+Nxz/jx5i7lpDHPxdIUPwYc+8/w9MrZRni6j9rK/aX3ZPHP6UsQxzr4uo/845TdCSXxz/ZPXlYqDXrP40o7Q2+MOE/qDXNO07R6T988rBQa5rHPyBB8WPMXes/CfmgZ7Pq7T8EVg4tsp3HP/VKWYY41u8/b4EExY8x4T+MuWsJ+aDHP0HxY8xdS+Y/FR3J5T+kxz+dgCbChqfHP7ivA+eMKO0/GCZTBaOS5D8Ab4EExY/tPybkg57Nqsc/uECC4seY7T9R2ht8YTLhP65H4XoUrsc/Nqs+V1uxxz/6fmq8dJPkP78OnDOitMc/Ne84RUdy5z9HcvkP6bfHP4iFWtO84+o/0NVW7C+7xz9YObTIdr7HPzMzMzMzM+E/hxbZzvdT7T8XSFD8GHPnP2recYqO5Og/4JwRpb3Bxz9pAG+BBMXHPxWMSuoENOE/8WPMXUvIxz96xyk6ksvHP7yWkA96Nus/AiuHFtnOxz+KjuTyH9LHPxPyQc9m1cc/m1Wfq63Yxz9MN4lBYOXoPyS5/If028c/rBxaZDvfxz80gLdAguLHP/fkYaHWNOE/2T15WKg14T8730+Nl27uP4qO5PIf0uk/veMUHcnlxz+8lpAPejbhPyNKe4MvTOY/RUdy+Q/pxz+e76fGSzfhP86qz9VW7Mc/Vg4tsp3vxz9Q/Bhz1xLuP4BIv30dOOE/C7Wmeccp6j9bsb/snjzoPwWjkjoBTeY/PQrXo3A96D8tsp3vp8btP95xio7k8sc/Z9Xnaiv2xz/5oGez6nPnP+84RUdy+cc/ApoIG55e6z94nKIjufzHP+f7qfHSTeY/ylTBqKRO5j8AAAAAAADIP30/NV66Se4/y6FFtvP97D+IY13cRgPIP2Kh1jTvOOE/IGPuWkI+6D8Rx7q4jQbIP5kqGJXUCcg/Io51cRsNyD9E+u3rwDnhP6rx0k1iEMg/3NeBc0aU5D8yVTAqqRPIP7u4jQbwFsg/2/l+arx05z9DHOviNhrIP8x/SL99Hcg/VOOlm8QgyD/cRgN4CyTIPwg9m1Wfq+0/ZapgVFInyD/mriXkg57vP+0NvjCZKsg/W0I+6Nms7j8mUwWjkjrhPwisHFpkO+E/dnEbDeAtyD/+1HjpJjHIP6yt2F92T+Y/hjjWxW00yD8PnDOitDfIP5f/kH77Osg/IGPuWkI+yD+oxks3iUHIP6UsQxzr4uw/MCqpE9BEyD8ukKD4MeboP+0NvjCZKuo/6gQ0ETY84T+5jQbwFkjIP0HxY8xdS8g/fa62Yn/Z7T/KVMGopE7IP23n+6nx0uk/UrgehetRyD+eXinLEMfuPxDpt68D5+g/zF1LyAc94T9TBaOSOgHvP9obfGEyVcg/vjCZKhiV5D9jf9k9eVjIP+viNhrAW8g/dEaU9gZfyD/8qfHSTWLIP662Yn/ZPeE/kQ96Nqs+4T9zaJHtfD/hP4QNT6+UZcg/VcGopE5A4T8NcayL22jIP5XUCWgibMg/jgbwFkhQ5j+9UpYhjnXnPx04Z0Rpb8g/ppvEILByyD8u/yH99nXIP3BfB84ZUeY/NxrAWyBB4T+3Yn/ZPXnIPxlz1xLyQeE/P8bctYR8yD/HKTqSy3/IP1CNl24Sg8g/2PD0SlmGyD+n6Egu/yHvP2FUUiegicg/Dr4wmSoY7z8TYcPTK2XpP+XyH9JvX+s/SgwCK4cW6z/pt68D54zIP3EbDeAtkMg/ArwFEhQ/6D/6fmq8dJPIP/vL7snDQuE/guLHmLuWyD/T3uALk6nqP57vp8ZLN+s/3SQGgZVD4T8LRiV1AprIP5OpglFJncg/Gw3gLZCgyD+kcD0K16PIPyzUmuYdp8g/yXa+nxov7T+1N/jCZKrIPzJVMCqpE+4/v30dOGdE4T89m1Wfq63IP+QUHcnlP+w/oImw4emV5D/F/rJ78rDIP1K4HoXrUeY/TmIQWDm0yD/WxW00gLfIP+QUHcnlP+g/XynLEMe6yD96Nqs+V1vvP+eMKO0Nvsg/9bnaiv1l6T+fq63YX3bnP/JBz2bV5+g/b/CFyVTByD+BBMWPMXfnP6HWNO84ReE/guLHmLuW5D/4U+Olm8TIP4C3QILix8g/CRueXinLyD+Rfvs6cM7IPxniWBe30cg/okW28/3UyD+amZmZmZntPyqpE9BE2Mg/ZF3cRgN45z+zDHGsi9vIP8ZtNIC3QOw/O3DOiNLeyD/i6ZWyDHHuP8PTK2UZ4sg/Rrbz/dR45z9MN4lBYOXIP9Sa5h2n6Mg/Xf5D+u3ryD/lYaHWNO/IP4iFWtO84+w/bcX+snvyyD+DL0ymCkbhP/YoXI/C9cg/at5xio7k6j80ETY8vVLmP36MuWsJ+cg/B/AWSFD8yD/GbTSAt0DoP49TdCSX/8g/1JrmHafo6D8LJCh+jLnvPxe30QDeAsk/oBov3SQGyT/RItv5fmrsPyh+jLlrCck/seHplbIMyT85RUdy+Q/JP09AE2HD0+k/NIC3QILi7z/BqKROQBPJP2Q730+Nl+Q/SgwCK4cWyT9miGNd3EbhPyS5/If02+8/0m9fB84ZyT/kg57Nqs/tPxZqTfOOU+Y/tvP91Hjp6D9b07zjFB3JP+M2GsBbIMk/XwfOGVHa7T9rmnecoiPJP/vL7snDQu8/T6+UZYhj7z/0/dR46SbJP3xhMlUwKsk/BcWPMXctyT+NKO0NvjDJP7N78rBQa+w/qMZLN4lB7D8VjErqBDTJP57vp8ZLN8k/SOF6FK5H4T8SFD/G3LXuPyZTBaOSOsk/4JwRpb3B7T+utmJ/2T3JP8dLN4lBYOs/KjqSy39I4T/MXUvIBz3vPzcawFsgQck/KA8LtaZ55z+ze/KwUGvqP799HThnRMk/SOF6FK5HyT8Mk6mCUUnhP9cS8kHPZuk/0ETY8PRKyT9YqDXNO07JP0aU9gZfmOQ/4QuTqYJRyT/u68A5I0rhP2lv8IXJVMk/Ke0NvjCZ5D+OdXEbDeDrP9BE2PD0SuE/8tJNYhBYyT+YTBWMSuroPwtGJXUCmuQ/sp3vp8ZL4T/D9Shcj8LrP5XUCWgibOo/lPYGX5hM4T+oxks3iUHoP9UJaCJseOw/ejarPldbyT8Cmggbnl7JP4v9ZffkYck/E2HD0ytlyT+cxCCwcmjJPyQofoy5a8k/rIvbaABvyT/PZtXnaivuP7prCfmgZ+k/Ne84RUdyyT92Tx4Wak3hP71SliGOdck/Rrbz/dR4yT/OGVHaG3zJP1ioNc07TuE/LGUZ4lgX6z9Wfa62Yn/JP9/gC5Opgsk/Z0Rpb/CFyT/wp8ZLN4nJP3gLJCh+jMk/AG+BBMWPyT+J0t7gC5PJPxE2PL1Slsk/+MJkqmBU5j87AU2EDU/hPx1aZDvfT+E/CmgibHh65z/tnjws1JrkP5qZmZmZmck/TDeJQWDl6j//snvysFDhPyL99nXgnMk/4QuTqYJR4T8awFsgQfHrP8NkqmBUUuE/pb3BFyZT4T8dWmQ730/vP3ctIR/0bOo/MZkqGJXU6T+qYFRSJ6DJPzPEsS5uo8k/uycPC7WmyT9Ei2zn+6nJP+zAOSNKe+c/zO7Jw0KtyT/aG3xhMlXmP4BIv30dOOs/LpCg+DHm6j+HFtnO91PhP1RSJ6CJsMk/z/dT46Wb5D/dtYR80LPJP2UZ4lgXt8k/aW/whclU4T+8dJMYBFbmPx1aZDvfT+0/CD2bVZ+r7z/ufD81XrrJP0vIBz2bVeE/sVBrmnec5D+TqYJRSZ3kPznWxW00gOs/WYY41sVt6j8730+Nl27qP3bgnBGlvck/t9EA3gIJ7D/+Q/rt68DJP4enV8oyxMk/Dwu1pnnHyT96pSxDHOvoP4ofY+5aQug/dQKaCBue5D+YbhKDwMrJP1dbsb/snuQ/ObTIdr6f5D/8GHPXEvLrPy0hH/RsVuE/n82qz9VW5j8bDeAtkKDkP4EmwoanV+Y/INJvXwfOyT+oNc07TtHJP4BIv30dOO8/MZkqGJXUyT9jf9k9eVjmP7n8h/Tb18k/QmDl0CLbyT8QejarPlfhP/LSTWIQWOE/ysNCrWneyT+cxCCwcmjpP1InoImw4ck/24r9ZffkyT9ZF7fRAN7uPw6+MJkqGOs/Y+5aQj7oyT8EVg4tsp3vP0XY8PRKWeY/7FG4HoXryT90tRX7y+7JP/wYc9cS8sk/hXzQs1n1yT8N4C2QoPjJP9QrZRniWOE/lkOLbOf7yT8ep+hILv/JP6YKRiV1Aso/L26jAbwFyj+2hHzQs1nhPxsv3SQGges//Yf029eB6z+30QDeAgnKP5jdk4eFWuE//mX35GGh5D8/NV66SQzKP8iYu5aQD8o/bHh6pSxD6D/gvg6cM6LkP1D8GHPXEso/ejarPldb4T/CFyZTBaPkP9lfdk8eFso/c9cS8kHP7D9hw9MrZRnKPxdIUPwYc+0/pHA9Ctej5D/pJjEIrBzKP4bJVMGopOQ/coqO5PIfyj9cj8L1KFzhPxPyQc9m1ek/+u3rwDkjyj8+6Nms+lzhP7yWkA96Nu8/aCJseHql5D/Xo3A9CtfvP4NRSZ2AJso/RiV1ApoI7z8LtaZ5xynKP2recYqO5Ow/kxgEVg4tyj8gQfFjzF3hPz0s1JrmHe0/HHxhMlUwyj9xGw3gLZDuP6Tfvg6cM8o/LUMc6+I2yj+1pnnHKTrKPz0K16NwPco/xm00gLdAyj8nMQisHFrmP07RkVz+Q8o/9UpZhjjW6T8Cmggbnl7hP9c07zhFR8o/HcnlP6Tf7j/l8h/Sb1/hP+wvuycPC+8/X5hMFYxKyj/n+6nx0k3KP3BfB84ZUco/+MJkqmBUyj+BJsKGp1fKP84ZUdobfOc/CYofY+5ayj+R7Xw/NV7KP34dOGdEaek/GlHaG3xhyj/8GHPXEvLvP6K0N/jCZMo/KxiV1Aloyj+ze/KwUGvKPwmKH2PuWuY/O99PjZduyj/HSzeJQWDhP8RCrWnecco/TKYKRiV1yj+bVZ+rrdjvP6mkTkATYeE/1QloImx4yj+L/WX35GHhP11txf6ye8o/5dAi2/l+yj9uNIC3QILKP21Wfa62YuE/6+I2GsBb5j/2l92Th4XKP3/7OnDOiMo/B1+YTBWMyj+PwvUoXI/KPxgmUwWjkso/oImw4emVyj89LNSa5h3vPyntDb4wmco/sVBrmnecyj85tMh2vp/KP8IXJlMFo8o/SnuDL0ymyj9Ke4MvTKbkP9Pe4AuTqco/W0I+6Nmsyj8Q6bevA+fqP9k9eVioNe8/tTf4wmSq6j9Pr5RliGPhP7ByaJHtfOc/46WbxCCwyj9sCfmgZ7PKP/RsVn2utso/zTtO0ZFc5j9O0ZFc/kPoPzEIrBxaZOE/fdCzWfW5yj8FNBE2PL3KP42XbhKDwMo/FvvL7snDyj8TYcPTK2XhP55eKcsQx8o/16NwPQrX6T8nwoanV8rKP68l5IOezco/N4lBYOXQyj/A7J48LNTKP/W52or9ZeE/SFD8GHPXyj/XEvJBz2bhPyzUmuYdp+Q/Di2yne+n5D+6awn5oGfhP9CzWfW52so/8IXJVMGo5D9ZF7fRAN7KP+F6FK5H4co/nMQgsHJo4T9q3nGKjuTKP/JBz2bV58o/eqUsQxzryj+ppE5AE2HrPyuHFtnO9+0/AwmKH2Puyj+LbOf7qfHKP6+UZYhjXeY/fh04Z0Rp4T8U0ETY8PTKPyGwcmiR7ew/l5APejar6j9d/kP67evoP5wzorQ3+Mo/YHZPHhZq4T/jNhrAWyDvP0LPZtXnauE/JJf/kH77yj+R7Xw/NV7mP78OnDOitO0/duCcEaW97T+t+lxtxf7KPzAqqRPQROg/NV66SQwCyz++wRcmUwXLP0YldQKaCMs/zojS3uALyz9X7C+7Jw/LP/aX3ZOHhe4/30+Nl24Syz90RpT2Bl/mP2iz6nO1Fcs/8BZIUPwYyz9Wn6ut2F/mP3h6pSxDHMs/PujZrPpc7T+4HoXrUbjsP89m1edqK+o/Ad4CCYofyz84+MJkqmDmP4lBYOXQIss/EqW9wRcmyz+aCBueXinLPyJseHqlLMs/q8/VVuwvyz8zMzMzMzPLP2Kh1jTvOOs/vJaQD3o2yz8aUdobfGHmP0T67evAOcs/zF1LyAc9yz+Sy39Iv33nP9Pe4AuTqeQ/P1dbsb/s6D9VwaikTkDLP90kBoGVQ8s/ZohjXdxGyz8kKH6MuWvhP+7rwDkjSss/dk8eFmpNyz+1N/jCZKrkP3Qkl/+Qfuc//7J78rBQyz+HFtnO91PLP5eQD3o2q+Q/EHo2qz5Xyz/8qfHSTWLmPx04Z0Rpb+o/mN2Th4Vayz8gQfFjzF3LP6mkTkATYcs/MQisHFpkyz+V1AloImzsP7prCfmgZ8s/Qs9m1edqyz/KMsSxLm7LP1OWIY51ccs/2/l+arx0yz9gdk8eFmrpP3npJjEIrOQ/sb/snjws6j9kXdxGA3jLP+zAOSNKe8s/w/UoXI/C7T90JJf/kH7LPxKDwMqhReg//Yf029eByz8GgZVDi2zhP4XrUbgehcs//Bhz1xLy7T8OT6+UZYjLP5ayDHGsi8s/UWuad5yi6z8eFmpN847LP/Xb14FzRug/p3nHKTqSyz/eAgmKH2PmPy/dJAaBlcs/mSoYldQJ7D/o2az6XG3hP7hAguLHmMs/QKTfvg6cyz/IBz2bVZ/LP1Frmnecoss/W0I+6Nms5D/ZzvdT46XLP3icoiO5/O0/ufyH9NvX6T97gy9MpgrsP2EyVTAqqcs/1zTvOEVH6D9Wfa62Yn/nP+qVsgxxrMs/AJF++zpw6j+fzarP1VbuPznWxW00gOc/2IFzRpT27j9y+Q/pt6/LP8BbIEHxY+Y/yjLEsS5u4T/7XG3F/rLLP4PAyqFFtss/v30dOGdE7z8LJCh+jLnLP5SHhVrTvMs/orQ3+MJk5j8c6+I2GsDLP6VOQBNhw8s/Gy/dJAaB5z8tsp3vp8bLP7UV+8vuycs/PnlYqDXNyz+si9toAG/hP8bctYR80Ms/IbByaJHt6D9PQBNhw9PLP4/k8h/Sb+E/16NwPQrXyz9fB84ZUdrLP+hqK/aX3cs/cM6I0t7gyz/5MeauJeTLP7mNBvAWSOg//Yf029eB5z/i6ZWyDHHqP4GVQ4ts58s/CfmgZ7Pqyz+bVZ+rrdjpP5Jc/kP67cs/cT0K16Nw4T9TliGOdXHhP5jdk4eFWu8/GsBbIEHxyz8DCYofY+7oP6MjufyH9Ms/K4cW2c73yz817zhFR3LhPxdIUPwYc+E/+aBns+pz4T+z6nO1FfvLP3npJjEIrOo/XdxGA3gL7D89m1Wfq63kP95xio7k8us/3+ALk6mC5z88TtGRXP7LP8SxLm6jAcw/gy9MpgpG7T9NFYxK6gTMP9v5fmq8dOE/fGEyVTAq7z/VeOkmMQjMP13cRgN4C8w/5j+k374OzD9uowG8BRLMP/cGX5hMFcw/Qs9m1edq6T9/arx0kxjMPwfOGVHaG8w/kDF3LSEfzD8YldQJaCLMPx/0bFZ9ruQ/ofgx5q4lzD8pXI/C9SjMP71SliGOdeE/oWez6nO17T/BOSNKe4PnP7G/7J48LMw/OiNKe4MvzD/ChqdXyjLMP0vqBDQRNsw/001iEFg5zD+EDU+vlGXmP3WTGARWDu0/W7G/7J48zD8ijnVxGw3uP+QUHcnlP8w/cM6I0t7g6z9seHqlLEPMP5+rrdhfduE/9dvXgXNGzD+BBMWPMXfhP30/NV66Scw/AU2EDU+v5D/jpZvEILDkPzVeukkMAu8/XW3F/rJ77j8Fo5I6AU3MP44G8BZIUMw/FmpN845TzD/lYaHWNO/oP2ZmZmZmZuY/SL99HThn5j+fzarP1VbMP8X+snvysOQ/JzEIrBxazD+jkjoBTYTnPysYldQJaOY/8kHPZtXn6j+vlGWIY13MP2Rd3EYDeOE/OPjCZKpgzD/AWyBB8WPMP0i/fR04Z8w/0SLb+X5qzD/cRgN4CyTsP1mGONbFbcw/4umVsgxxzD9qTfOOU3TMP32utmJ/2ek/8rBQa5p3zD97FK5H4XrMP6hXyjLEseQ/A3gLJCh+zD9bQj7o2azqP4qw4emVsuQ/hetRuB6F5z8zxLEubqPrP4zbaABvgcw/FD/G3LWEzD+coiO5/IfMPyUGgZVDi8w/rWnecYqOzD9sCfmgZ7PkPzbNO07Rkcw/vjCZKhiVzD9GlPYGX5jMP1UwKqkT0Ow/Rrbz/dR44T/P91PjpZvMP1dbsb/snsw/4L4OnDOizD9oImx4eqXMPw1xrIvbaOY/mG4Sg8DK7z/whclUwajMP2dEaW/whec/KA8LtaZ54T956SYxCKzMP05iEFg5tOQ/78nDQq1p5j/RItv5fmrmPwFNhA1Pr8w/SZ2AJsKG5z9os+pztRXvP4qw4emVssw/s3vysFBr5j+b5h2n6EjoPxIUP8bctcw/K/aX3ZOH5z8IrBxaZDvtP3ctIR/0bOw/ldQJaCJs5j8VHcnlP6TtP5p3nKIjucw/AwmKH2Pu7D8KaCJseHrhP+zAOSNKe+E/I9v5fmq8zD+rPldbsb/MPzSitDf4wsw/vAUSFD/GzD9EaW/whcnMP83MzMzMzMw/VTAqqRPQzD/ek4eFWtPMP84ZUdobfOE/sHJoke184T+Sy39Iv33hP2b35GGh1sw/dCSX/5B+4T/uWkI+6NnMP3e+nxov3cw/Vn2utmJ/4T8wuycPC7XkPxIUP8bcteQ/Dk+vlGWI5z/wp8ZLN4nnP/RsVn2utuQ//yH99nXgzD851sVtNIDhP4iFWtO848w/EOm3rwPnzD+YTBWMSurMP4ofY+5aQuw/ZF3cRgN47z/WxW00gLfkPyGwcmiR7cw/ZvfkYaHW7j+pE9BE2PDMP3ctIR/0bOY/PZtVn6ut6j/5oGez6nPtPzJ3LSEf9Mw/PzVeukkM7D+62or9ZffMP1mGONbFbeY/fT81XrpJ6D9fmEwVjEroPx/0bFZ9ruo/Qj7o2az6zD/LoUW28/3MP1MFo5I6Ac0/3GgAb4EEzT9kzF1LyAfNPxsv3SQGgeE/JXUCmggb7j/sL7snDwvNP0aU9gZfmOw/dZMYBFYOzT/99nXgnBHNP4Za07zjFM0/Dr4wmSoYzT8730+Nl27mP5YhjnVxG80/H4XrUbgezT+n6Egu/yHNP5Jc/kP67e8/MEymCkYlzT+4rwPnjCjNP0ATYcPTK80//Yf029eB4T/Jdr6fGi/NP1HaG3xhMs0/3+ALk6mC4T+4HoXrUbjkP9k9eVioNc0/YqHWNO84zT/qBDQRNjzNP8HKoUW28+s/kxgEVg4t6j9zaJHtfD/NP5p3nKIjueQ/+8vuycNCzT+DL0ymCkbNP0HxY8xdS+g/XwfOGVHa6T8Mk6mCUUnNPx+F61G4Hu0/lPYGX5hMzT++nxov3STsP8E5I0p7g+E/HVpkO99PzT+lvcEXJlPNP18HzhlR2u8/x7q4jQbw6D8tIR/0bFbNP7aEfNCzWc0/fdCzWfW55D8+6Nms+lzNP6OSOgFNhOE/xEKtad5x6j+F61G4HoXhP8dLN4lBYM0/ldQJaCJs7j9Pr5RliGPNP9qs+lxtxew/1xLyQc9mzT9gdk8eFmrNP5F++zpwzu4/f9k9eVio7T+lTkATYcPrP2dEaW/wheE/SZ2AJsKG4T8kKH6MuWvpP+jZrPpcbc0/I0p7gy9M6D9xPQrXo3DNP/mgZ7Pqc80/K/aX3ZOH4T/EQq1p3nHuP4EExY8xd80/CmgibHh6zT8Fo5I6AU3oP5LLf0i/fc0/Dk+vlGWI4T/wp8ZLN4nhP6kT0ETY8Og/8BZIUPwY6z8bL90kBoHNP4enV8oyxOs/ppvEILBy6j+jkjoBTYTNPyv2l92Th80/0gDeAgmK4T+0WfW52orhP5ayDHGsi+E/eAskKH6M4T+0WfW52orNP4ts5/up8eg/QmDl0CLb6T8GgZVDi2zpPzy9UpYhjs0/HThnRGlv5j/FILByaJHNP02EDU+vlM0/1edqK/aXzT9eS8gHPZvNP+auJeSDns0/bxKDwMqhzT/Sb18HzhnrP1pkO99PjeE/93XgnBGlzT+cM6K0N/juP23F/rJ78ug/0gDeAgmK5z9/2T15WKjNPwg9m1Wfq80/AJF++zpw5j8kufyH9NvpP5Cg+DHmrs0/GQRWDi2yzT+hZ7Pqc7XNP5Axdy0hH+4/KcsQx7q4zT+yLm6jAbzNP7RZ9bnaiuc/tMh2vp8a6z88vVKWIY7hPzqSy39Iv80/w/UoXI/CzT9LWYY41sXNP18pyxDHuuQ/mggbnl4p7T+WsgxxrIvnP9O84xQdyc0/HhZqTfOO4T8Ab4EExY/hP0GC4seYu+Q/XCBB8WPMzT/kg57Nqs/NP23n+6nx0s0/9UpZhjjWzT/jx5i7lpDhP636XG3F/uw/xSCwcmiR4T99rrZif9nNP6d5xyk6kuE/BhIUP8bczT+OdXEbDeDNPxfZzvdT480/nzws1JrmzT8noImw4enNP7AD54wo7c0/idLe4AuT4T9rK/aX3ZPhPzhnRGlv8M0/wcqhRbbzzT8GEhQ/xtzpP0ku/yH99s0/0ZFc/kP6zT9pAG+BBMXvP1r1udqK/c0/I9v5fmq85D9NhA1Pr5ThP+jZrPpcbek/L90kBoGV4T8RNjy9UpbhP5p3nKIjuew/845TdCSX4T9PHhZqTfPoP+LplbIMceY/1edqK/aX4T8FNBE2PL3kP4v9ZffkYes/aCJseHql7D/iWBe30QDOP2q8dJMYBM4/54wo7Q2+5D+4QILix5jhP/Mf0m9fB84/e4MvTKYKzj9seHqlLEPsPwTnjCjtDc4/eAskKH6M5z+MSuoENBHOP8nlP6TfvuQ/FK5H4XoUzj+amZmZmZnhP39qvHSTGO4/nRGlvcEXzj8ldQKaCBvOP67YX3ZPHs4/ofgx5q4l7D8ydy0hH/ToPzY8vVKWIc4/qz5XW7G/5D++nxov3STOP3zysFBrmuE/RwN4CyQozj9eS8gHPZvhP3ZxGw3gLeo/jZduEoPA5D/PZtXnaivOP1jKMsSxLs4/4C2QoPgxzj/f4AuTqYLrP2iR7Xw/Nc4/QKTfvg6c4T/x9EpZhjjOP3lYqDXNO84/ArwFEhQ/zj9aZDvfT43nP4ofY+5aQs4/EoPAyqFFzj+b5h2n6EjOPyNKe4MvTM4/rK3YX3ZPzj80ETY8vVLOP7x0kxgEVs4/1JrmHafo6j8i/fZ14JzhP0XY8PRKWc4/BFYOLbKd4T/NO07RkVzOP+auJeSDnuE/Vp+rrdhfzj/IBz2bVZ/hP7Hh6ZWyDO8/3gIJih9jzj9YyjLEsS7qP2kAb4EExes/ZmZmZmZmzj/vycNCrWnOP3ctIR/0bM4/6Gor9pfd6T8AkX77OnDOP4j029eBc84/EFg5tMh2zj88vVKWIY7nP6pgVFInoOE/HhZqTfOO5z+MuWsJ+aDhP5m7lpAPes4/bxKDwMqh4T/n+6nx0k3oPyEf9GxWfc4/qoJRSZ2Azj/EQq1p3nHmPzLmriXkg84/ukkMAiuHzj9Ra5p3nKLhPxTQRNjw9Og/M8SxLm6j4T9DrWnecYrOP8sQx7q4jc4/wTkjSnuD6z9UdCSX/5DOPwBvgQTFj+c/b/CFyVTB5D8VHcnlP6ThP9zXgXNGlM4//7J78rBQ7T9kO99PjZfOP6VOQBNhw+8/7Z48LNSazj91ApoIG57OP/5l9+Rhoc4/hslUwaikzj8OLbKd76fOP5YhjnVxG+s/UkmdgCbC5D80orQ3+MLkP5eQD3o2q84/FvvL7snD5D8BTYQNT6/qP21Wfa62Yus/93XgnBGl4T8f9GxWfa7OP8oyxLEubuk/G55eKcsQ7z+oV8oyxLHOPzC7Jw8Ltc4/uB6F61G4zj+GONbFbTTuP/hT46WbxOQ/qz5XW7G/7j9BguLHmLvOP8nlP6Tfvs4/2qz6XG3F5D9SSZ2AJsLOP9qs+lxtxc4/9ihcj8L16D9iEFg5tMjOP+tztRX7y84/c9cS8kHPzj+mm8QgsHLmP/s6cM6I0s4/rIvbaABv6T+Ens2qz9XOPwwCK4cW2c4/iPTb14Fz5j9qTfOOU3TmP5VliGNd3M4/HcnlP6Tfzj/ZzvdT46XhP0tZhjjWxes/oyO5/If06z/jx5i7lpDnP6UsQxzr4s4/LpCg+DHmzj86I0p7gy/qP7bz/dR46c4/vAUSFD/G5D8/V1uxv+zOP55eKcsQx+Q/46WbxCCw6j9miGNd3EbtP8e6uI0G8M4/Tx4Wak3zzj/YgXNGlPbOP2Dl0CLb+c4/6Ugu/yH9zj9xrIvbaADPP1mGONbFbew/ylTBqKRO6D9MpgpGJXXmP/kP6bevA88/Ke0NvjCZ7D8u/yH99nXmP7snDwu1puE/nYAmwoan4T+At0CC4sfkP4JzRpT2Bs8/CtejcD0Kzz+P5PIf0m/pP5M6AU2EDc8/iPTb14Fz6j9iEFg5tMjkP6yt2F92T+g/Io51cRsN7D8QWDm0yHbmP7dif9k9eew/Y3/ZPXlY7D8bnl4pyxDPP8X+snvysOo/owG8BRIUzz/Kw0Ktad7pPyxlGeJYF88/f9k9eVio4T/G3LWEfNDtP7TIdr6fGs8/PSzUmuYdzz8VHcnlP6TrP8WPMXctIc8/YTJVMCqp4T9N845TdCTPP9ZW7C+7J88/XrpJDAIrzz/nHafoSC7PP2+BBMWPMc8/9+RhodY0zz+ASL99HTjPP44G8BZIUOg/sHJoke187z9y+Q/pt6/vP0SLbOf7qeE/CKwcWmQ7zz+RD3o2qz7PP0Rpb/CFyeQ/o5I6AU2E6z8Zc9cS8kHPPxSuR+F6FO4/odY07zhFzz8qOpLLf0jPPwTnjCjtDew/sp3vp8ZLzz/3deCcEaXrPzsBTYQNT88/2IFzRpT26D9YObTIdr7tP8NkqmBUUs8/t2J/2T157j9LyAc9m1XPP9QrZRniWM8/rBxaZDvf6T8HzhlR2hvuP1yPwvUoXM8/5fIf0m9fzz+GWtO84xTtPybkg57NquE//mX35GGh7j9tVn2utmLPP/W52or9Zc8/fh04Z0Rpzz9+HThnRGntPwg9m1Wfq+E/J8KGp1fK5D990LNZ9bnsPwaBlUOLbM8/g1FJnYAm7D+P5PIf0m/PPxdIUPwYc88/arx0kxgE7j+fq63YX3bPPygPC7Wmec8/rWnecYqO7D/arPpcbcXuP7ByaJHtfM8/OdbFbTSAzz/BOSNKe4PPP0mdgCbChs8/6pWyDHGs4T/SAN4CCYrPP8UgsHJokec/WmQ730+Nzz8JG55eKcvkPxx8YTJVMOo/48eYu5aQzz/ysFBrmnfmP9nO91Pjpes/ayv2l92Tzz/zjlN0JJfPP/tcbcX+su8/zO7Jw0Kt4T/qBDQRNjztP3zysFBrms8/BFYOLbKdzz+MuWsJ+aDPPxUdyeU/pM8/nYAmwoanzz8m5IOezarPP65H4XoUrs8/T6+UZYhj6z82qz5XW7HPP78OnDOitM8/R3L5D+m3zz9fKcsQx7rsP9UJaCJseOY/0NVW7C+7zz9YObTIdr7PP0w3iUFg5ew/4JwRpb3Bzz83iUFg5dDsP2kAb4EExc8/63O1FfvL5D/NzMzMzMzkP4XrUbgehes/8WPMXUvIzz96xyk6ksvPP7dif9k9eeY/rkfhehSu4T9xPQrXo3DpP5Cg+DHmruE/AiuHFtnOzz+neccpOpLnP4qO5PIf0s8/cvkP6bev4T+Zu5aQD3rmPxPyQc9m1c8/m1Wfq63Yzz97FK5H4XrmP+kmMQisHO4/U5YhjnVx6T8kufyH9NvPP6wcWmQ7388/NIC3QILizz+94xQdyeXPP0VHcvkP6c8/VFInoImw4T+vJeSDns3kP95xio7k8u8/Nqs+V1ux4T/Oqs/VVuzPPxkEVg4tsuE/Vg4tsp3vzz/ecYqO5PLPP2fV52or9s8/7zhFR3L5zz94nKIjufzPPwAAAAAAANA/3NeBc0aU7j/EsS5uowHQP4hjXdxGA9A/+1xtxf6y4T9dbcX+snvmP6hXyjLEseo/zF1LyAc97T9NFYxK6gTQP921hHzQs+E/Ece6uI0G0D/VeOkmMQjQP5kqGJXUCdA/vw6cM6K04T+Rfvs6cM7kP7raiv1l9+g/sAPnjCjt7z9d3EYDeAvQPyKOdXEbDdA/idLe4AuT5z/mP6Tfvg7QPzXvOEVHcuk/qvHSTWIQ0D9rK/aX3ZPnP26jAbwFEtA/MlUwKqkT0D+hZ7Pqc7XhP3PXEvJBz+Q/VTAqqRPQ5D+DwMqhRbbhPz/G3LWEfOY/Ad4CCYof7z83iUFg5dDkP451cRsN4Ok/9wZfmEwV0D+7uI0G8BbQP0XY8PRKWew/f2q8dJMY0D9DHOviNhrQPyEf9GxWfeY/B84ZUdob0D+KsOHplbLqP8x/SL99HdA/kDF3LSEf0D8Z4lgXt9HkP02EDU+vlOc/L90kBoGV5z9U46WbxCDQP/s6cM6I0uQ/GJXUCWgi0D/cRgN4CyTQP3BfB84ZUeg/A3gLJCh+5j8730+Nl27sP6H4MeauJdA/Njy9UpYh7j/+1HjpJjHqP2WqYFRSJ9A/KVyPwvUo0D/tDb4wmSrQP7G/7J48LNA/3pOHhVrT5D9lGeJYF7fhP07RkVz+Q+w/R3L5D+m34T92cRsN4C3QPzojSnuDL9A//tR46SYx0D/ChqdXyjLQP8rDQq1p3u8/hjjWxW000D+PwvUoXI/sP0vqBDQRNtA/D5wzorQ30D8pyxDHurjhPxE2PL1Sluc/001iEFg50D+X/5B++zrQPwskKH6MueE/W7G/7J480D8gY+5aQj7QP+58PzVeuuE/5BQdyeU/0D+oxks3iUHQP2x4eqUsQ9A/wOyePCzU5D8wKqkT0ETQP/Xb14FzRtA/uY0G8BZI0D99PzVeuknQP+VhodY07+w/4C2QoPgx6j/G3LWEfNDvP+XQItv5fuY/UiegibDh6z+iRbbz/dTkP0HxY8xdS9A/hJ7Nqs/V5D9SuB6F61HoPwWjkjoBTdA/4QuTqYJR7T9lqmBUUifsP8pUwaikTtA/jgbwFkhQ0D8N4C2QoPjtP5m7lpAPeuw/0NVW7C+74T9SuB6F61HQP7raiv1l9+4/si5uowG84T9m9+RhodbkPzQRNjy9Uug/xyk6kst/5j9IUPwYc9fkPxZqTfOOU9A/lIeFWtO84T924JwRpb3hP1g5tMh2vuE/2ht8YTJV0D86kst/SL/hP6qCUUmdgOY/jNtoAG+B5j8c6+I2GsDhP240gLdAguY/n82qz9VW0D9jf9k9eVjQPycxCKwcWtA/tvP91Hjp6j9nRGlv8IXrP+viNhrAW9A/KqkT0ETY5D+vlGWIY13QP/5D+u3rwOE/dEaU9gZf0D8XSFD8GHPpPxZqTfOOU+g/4JwRpb3B4T/D9Shcj8LhPzj4wmSqYNA/dCSX/5B+7z+IhVrTvOPuP/yp8dJNYtA/IEHxY8xd7T/AWyBB8WPQP6VOQBNhw+E/hA1Pr5Rl0D9Iv30dOGfQP/OOU3Qkl+c/W7G/7J487j94eqUsQxzrP2pN845TdOo/LUMc6+I27j/V52or9pfnP5wzorQ3+Og/+MJkqmBU6D+Hp1fKMsThPw1xrIvbaNA/0SLb+X5q0D+7Jw8LtabrP5XUCWgibNA/WYY41sVt0D9pAG+BBMXhPx04Z0Rpb9A/4umVsgxx0D+mm8QgsHLQP2pN845TdNA/UI2XbhKD5j8u/yH99nXQP/KwUGuad9A/RPrt68A56z9LWYY41sXhP+auJeSDnu0/t2J/2T150D8Z4lgXt9HsPy6QoPgx5uw/exSuR+F60D8/xty1hHzQP1CNl24Sg+4/A3gLJCh+0D8MAiuHFtnkP8cpOpLLf9A/MuauJeSD5j+M22gAb4HQP1CNl24Sg9A/FD/G3LWE0D9sCfmgZ7PqPxQ/xty1hOY/7lpCPujZ5D/Y8PRKWYbQP5yiI7n8h9A/YVRSJ6CJ0D8tsp3vp8bhPyUGgZVDi9A/6bevA+eM0D+tad5xio7QP0mdgCbChus/cRsN4C2Q0D82zTtO0ZHQPycxCKwcWuw/+n5qvHST0D/Qs1n1udrkPz0K16NwPe4/aW/whclU7z++MJkqGJXQPw8LtaZ5x+E/j1N0JJf/7D+4QILix5jnP8gHPZtVn+0/S8gHPZtV7z+C4seYu5bQP9obfGEyVeg/RpT2Bl+Y0D/ChqdXyjLqP6g1zTtO0e0/nKIjufyH7j8LRiV1AprQP/FjzF1LyOE/z/dT46Wb0D+TqYJRSZ3QP5qZmZmZmec/V1uxv+ye0D+oNc07TtHvP9O84xQdyeE/Gw3gLZCg0D/KMsSxLm7vP+C+DpwzotA/pN++Dpwz6j8Cmggbnl7tP6RwPQrXo9A/aCJseHql0D+1FfvL7snhPyzUmuYdp9A/vHSTGARW6D/whclUwajQP7MMcayL2+Q/tTf4wmSq0D956SYxCKzQP5huEoPAyuE/PZtVn6ut0D8BTYQNT6/QP5VliGNd3OQ/9wZfmEwV7j/F/rJ78rDQP4qw4emVstA/RwN4CyQo7D/2l92Th4XmP3rHKTqSy+E/d76fGi/d5D9OYhBYObTQPxIUP8bctdA/1sVtNIC30D9ZF7fRAN7kP5p3nKIjudA/O3DOiNLe5D9fKcsQx7rQPyPb+X5qvNA/54wo7Q2+0D+rPldbsb/QP2/whclUwdA/NKK0N/jC0D/4U+Olm8TQP7wFEhQ/xtA/gLdAguLH0D9EaW/whcnQP+XyH9JvX+0/2PD0SlmG5j8JG55eKcvQP7pJDAIrh+Y/zczMzMzM0D988rBQa5rnP5F++zpwztA/VTAqqRPQ0D9cIEHxY8zhPxniWBe30dA/PnlYqDXN4T/ek4eFWtPQP0ymCkYldeo/okW28/3U0D9m9+RhodbQPx3J5T+k3+Q/+aBns+pz6T8qqRPQRNjQP+5aQj7o2dA/swxxrIvb0D8g0m9fB87hP3e+nxov3dA/LbKd76fG6z+coiO5/IfmP3EbDeAtkOw/AiuHFtnO4T9/+zpwzojmP/8h/fZ14OQ/O3DOiNLe0D/kg57Nqs/hP5/Nqs/VVug//yH99nXg0D/D0ytlGeLQP4iFWtO849A/FYxK6gQ07z9MN4lBYOXQPxDpt68D59A/2/l+arx06T/G3LWEfNDhP+F6FK5H4eQ/1JrmHafo0D+GONbFbTTqP8PTK2UZ4uQ/pSxDHOvi5D+YTBWMSurQP0p7gy9Mpuw/iIVa07zj5D+oNc07TtHhP4qO5PIf0uE/bef7qfHS4T9d/kP67evQP2recYqO5OQ/IbByaJHt0D/lYaHWNO/QP6kT0ETY8NA/T0ATYcPT4T9txf6ye/LQPw+cM6K0N+4/MnctIR/00D/2KFyPwvXQP15LyAc9m+c/utqK/WX30D9+jLlrCfnQP0I+6Nms+tA/B/AWSFD80D9MN4lBYOXkP8uhRbbz/dA/j1N0JJf/0D9TBaOSOgHRPxe30QDeAtE/MZkqGJXU4T/jpZvEILDuP2FUUiegieY/JlMFo5I66z8gQfFjzF3vP662Yn/ZPe0/3GgAb4EE0T+gGi/dJAbRP2TMXUvIB9E/KH6MuWsJ0T/sL7snDwvRP7Hh6ZWyDNE/5j+k374O7D91kxgEVg7RPwHeAgmKH+0/OUVHcvkP0T/99nXgnBHRP8GopE5AE9E/hlrTvOMU0T9+jLlrCfnoPxPyQc9m1eE/gSbChqdX6D9KDAIrhxbRPw6+MJkqGNE/Y3/ZPXlY6D/1SlmGONbhP9JvXwfOGdE/gSbChqdX7j+WIY51cRvRP1vTvOMUHdE/cM6I0t7g6T8fhetRuB7RP0GC4seYu+w/4zYawFsg0T8ukKD4MebkPzAqqRPQROw/p+hILv8h0T9txf6ye/LuP2uad5yiI9E/Q61p3nGK5j+9UpYhjnXpPyUGgZVDi+Y/MEymCkYl0T/0/dR46SbRP7ivA+eMKNE/fGEyVTAq0T/Xo3A9CtfhP0ATYcPTK9E/BcWPMXct0T8IrBxaZDvrPxKDwMqhRew/yXa+nxov0T+NKO0NvjDRP1HaG3xhMtE/FYxK6gQ00T/ZPXlYqDXRP2iR7Xw/Neo/nu+nxks30T9iodY07zjRPyZTBaOSOtE/3nGKjuTy7T/qBDQRNjzRP662Yn/ZPdE/c2iR7Xw/0T83GsBbIEHRP7n8h/Tb1+E/B1+YTBWM5j/7y+7Jw0LRP799HThnRNE/gy9MpgpG0T80gLdAguLrP0jhehSuR9E/DJOpglFJ0T/QRNjw9ErRP0XY8PRKWeg/m1Wfq63Y4T+U9gZfmEzRP1ioNc07TtE/fa62Yn/Z4T8FxY8xdy3vPycxCKwcWug/HVpkO99P0T8Q6bevA+fkP1InoImw4ek/XwfOGVHa4T/yQc9m1efkP9Sa5h2n6OQ/4QuTqYJR0T/pt68D54zmP6W9wRcmU9E/aW/whclU0T8tIR/0bFbRPyzUmuYdp+w/MQisHFpk6z8Jih9j7lroP0Jg5dAi2+E/JLn8h/Tb4T8GEhQ/xtzhP+58PzVeuu8/8tJNYhBY0T9L6gQ0ETbqP/Xb14FzRuw/toR80LNZ0T96Nqs+V1vRPz7o2az6XNE/tvP91Hjp5D8Cmggbnl7RP8dLN4lBYNE/i/1l9+Rh0T9Pr5RliGPRPyQofoy5a+8/E2HD0ytl0T+YTBWMSurkP4V80LNZ9es/NIC3QILi6T/XEvJBz2bRPy7/If32deo/eqUsQxzr5D9d/kP67evkP+hqK/aX3eE/MzMzMzMz7z+cxCCwcmjRPxDpt68D5+w/YHZPHhZq0T8kKH6MuWvRP8sQx7q4jeY/6Nms+lxt0T+si9toAG/RPz9XW7G/7OQ/cT0K16Nw0T+tad5xio7mPzXvOEVHctE/ysNCrWne4T/5oGez6nPRP71SliGOddE/gQTFjzF30T9GtvP91HjRPyGwcmiR7eQ/QKTfvg6c5z97FK5H4XrsPy1DHOviNuo/CmgibHh60T+sHFpkO9/hP451cRsN4OE/n6ut2F926T/OGVHaG3zRPwMJih9j7uQ/kst/SL990T/lYaHWNO/kP1Z9rrZif9E/cM6I0t7g4T+PwvUoXI/mP1InoImw4eE/Gy/dJAaB0T/ysFBrmnfuP9/gC5OpgtE/NIC3QILi4T+jkjoBTYTRP2dEaW/whdE/EFg5tMh26j8X2c73U+PhP/kx5q4l5OE/6+I2GsBb6D8r9pfdk4fRP9uK/WX35OE/8KfGSzeJ0T+0WfW52orRP3gLJCh+jNE/veMUHcnl4T9xGw3gLZDmPzy9UpYhjtE/AG+BBMWP0T/FILByaJHRPzcawFsgQe8/iPTb14Fz7j+fPCzUmubhP4nS3uALk9E/TYQNT6+U0T+BlUOLbOfhPxE2PL1SltE/Iv32deCc5z9j7lpCPujhP0VHcvkP6eE/1edqK/aX0T9n1edqK/brP5qZmZmZmdE/XW3F/rJ77D/HuriNBvDkPwRWDi2ynec/J6CJsOHp4T9eS8gHPZvRPyL99nXgnNE/CfmgZ7Pq4T/mriXkg57RP6pgVFInoNE/bxKDwMqh0T8zxLEubqPRP/d14JwRpdE/E2HD0ytl6z+7Jw8LtabRP3/ZPXlYqNE/RIts5/up0T9GtvP91HjtP2Dl0CLb+eg/nYAmwoan6z+pE9BE2PDkPwg9m1Wfq9E/zO7Jw0Kt0T+QoPgx5q7RP1RSJ6CJsNE/i2zn+6nx5D/mriXkg57nPyv2l92Th+s/GQRWDi2y0T/dtYR80LPRP05iEFg5tOo/oWez6nO10T9lGeJYF7fRPynLEMe6uNE/7nw/NV660T9txf6ye/LkP4SezarP1e4/7FG4HoXr4T+yLm6jAbzRPwmKH2PuWuw/duCcEaW90T/IBz2bVZ/nPzqSy39Iv9E/VHQkl/+Q5j+srdhfdk/uP/5D+u3rwNE/zqrP1Vbs4T/D9Shcj8LRP4enV8oyxNE/S1mGONbF0T8PC7WmecfRP2HD0ytlGe4/Qj7o2az66D/TvOMUHcnRP5huEoPAytE/Ns07TtGR5j9cIEHxY8zRPyDSb18HztE/C0YldQKa7j8JG55eKcvuP+SDns2qz9E/qDXNO07R0T8ofoy5awnvP23n+6nx0tE/zTtO0ZFc6D8rhxbZzvfvPzGZKhiV1NE/QmDl0CLb7T/1SlmGONbRP6+UZYhjXeg/D5wzorQ36j8PC7WmecfrP08eFmpN8+Q/MnctIR/05D+wA+eMKO3hP5HtfD81Xug/ufyH9NvX0T99rrZif9nRP0Jg5dAi29E/BhIUP8bc0T/Kw0Ktad7RP5Jc/kP67eE/x7q4jQbw7D+OdXEbDeDRP1InoImw4dE/6gQ0ETY86z8X2c73U+PRP/H0SlmGOOo/24r9Zffk0T+BBMWPMXfpP588LNSa5tE/dLUV+8vu4T9j7lpCPujRP6yL22gAb+0/J6CJsOHp0T9WDi2yne/tP3RGlPYGX+g/001iEFg56j/sUbgehevRP7AD54wo7dE/Vg4tsp3v4T90tRX7y+7RPzhnRGlv8NE//Bhz1xLy0T84Z0Rpb/DhP8HKoUW289E/FNBE2PD05D+FfNCzWfXRPxrAWyBB8eE/SS7/If320T8dOGdEaW/sPzBMpgpGJe8//Bhz1xLy4T/ecYqO5PLhP8HKoUW28+E/oyO5/If04T8N4C2QoPjRPxgmUwWjkuY/+n5qvHST5j+FfNCzWfXhP6pgVFInoOc/0ZFc/kP60T+WQ4ts5/vRP1r1udqK/dE/HqfoSC7/0T9Wn6ut2F/oP+JYF7fRANI/mG4Sg8DK7T/M7snDQq3vP6YKRiV1AtI/9ihcj8L15D9n1edqK/bhP2q8dJMYBNI/L26jAbwF0j+MuWsJ+aDnP/Mf0m9fB9I/t9EA3gIJ0j97gy9MpgrSPz81XrpJDNI/SS7/If324T/c14FzRpTmPwTnjCjtDdI/ZF3cRgN46T/ImLuWkA/SP3ZxGw3gLe4/OPjCZKpg6D8rhxbZzvfhP4xK6gQ0EdI/UPwYc9cS0j8N4C2QoPjhP+84RUdy+eE/0ZFc/kP64T8X2c73U+PpPxSuR+F6FNI/2V92Tx4W0j+dEaW9wRfSP2HD0ytlGdI/JXUCmggb0j/pJjEIrBzSP67YX3ZPHtI/Rrbz/dR46T9yio7k8h/SPzY8vVKWIdI/+u3rwDkj0j++nxov3STSP4NRSZ2AJtI/bxKDwMqh5z8aUdobfGHoP0cDeAskKNI//Knx0k1i6D8OT6+UZYjrPwu1pnnHKdI/z2bV52or0j8X2c73U+PrP5MYBFYOLdI/WMoyxLEu0j+1pnnHKTrqPxx8YTJVMNI/4C2QoPgx0j+k374OnDPSPySX/5B+++g/UWuad5yi5z9oke18PzXSPy1DHOviNtI/F9nO91Pj7z/MXUvIBz3rP74wmSoYleY/8fRKWYY40j+1pnnHKTrSP/Cnxks3ies/eVioNc070j89CtejcD3SP94CCYofY+g/s+pztRX74T+WQ4ts5/vhPwK8BRIUP9I/xm00gLdA0j/AWyBB8WPoP4ofY+5aQtI/eJyiI7n84T+utmJ/2T3rP07RkVz+Q9I/M8SxLm6j5z9a9bnaiv3hPxKDwMqhRdI/PE7RkVz+4T/XNO84RUfSPxUdyeU/pOc/m+Ydp+hI0j+gibDh6ZXmP7gehetRuO4/X5hMFYxK0j8jSnuDL0zSP+f7qfHSTdI/rK3YX3ZP0j9wXwfOGVHSP4Lix5i7luY/NBE2PL1S0j/7OnDOiNLsP6K0N/jCZOg/HqfoSC7/4T+RD3o2qz7vP/jCZKpgVNI/vHSTGARW0j+BJsKGp1fSP0XY8PRKWdI/+THmriXk6T+EDU+vlGXoPwmKH2PuWtI/AAAAAAAA4j+lTkATYcPtP9uK/WX35Ok/4lgXt9EA4j/NO07RkVzSP2Q730+Nl+Y/ke18PzVe0j9Wn6ut2F/SP8SxLm6jAeI/GlHaG3xh0j89m1Wfq63uP94CCYofY9I/9bnaiv1l6z+itDf4wmTSP8ZtNIC3QO4/2IFzRpT25D+62or9ZffkP2ZmZmZmZug/ZmZmZmZm0j8rGJXUCWjSP3rHKTqSy+0/SL99HThn6D/vycNCrWnSPysYldQJaOg/s3vysFBr0j+mCkYldQLiPygPC7Wmeek/dy0hH/Rs0j8H8BZIUPzoP0aU9gZfmOY/O99PjZdu0j+cM6K0N/jkPw1xrIvbaOg/93XgnBGl5z8p7Q2+MJnmP+/Jw0Ktaeg/AJF++zpw0j9+jLlrCfnkP8RCrWnecdI/iPTb14Fz0j9MpgpGJXXSP6vP1VbsL+0/EFg5tMh20j+IY13cRgPiP2Dl0CLb+eQ/6Ugu/yH96D/VCWgibHjSP0I+6Nms+uQ/mbuWkA960j8LRiV1AprmP/KwUGuad+o/CmgibHh66T8kl/+QfvvkP2q8dJMYBOI/hxbZzvdT7z9NFYxK6gTiP11txf6ye9I/IR/0bFZ90j/sUbgehevtP+XQItv5ftI/qoJRSZ2A0j/tnjws1JruP7wFEhQ/xuw/AJF++zpw7D8vbqMBvAXiPxHHuriNBuI/bjSAt0CC0j/zH9JvXwfiPzLmriXkg9I/Di2yne+n7D/2l92Th4XSP7pJDAIrh9I/l/+Qfvs66j/VeOkmMQjiP9nO91Pjpec/t9EA3gIJ4j9/+zpwzojSP1vTvOMUHes/mSoYldQJ4j9YyjLEsS7uP3uDL0ymCuI/XdxGA3gL4j9DrWnecYrSPwdfmEwVjNI/yxDHuriN0j+PwvUoXI/SPz81XrpJDOI/oBov3SQG7T+7Jw8LtabnP1R0JJf/kNI/BhIUP8bc7T8YJlMFo5LSPyKOdXEbDeI/3NeBc0aU0j/RItv5fmroP6CJsOHpldI/ZDvfT42X0j8p7Q2+MJnSP+2ePCzUmtI/sVBrmnec0j89LNSa5h3rP3UCmggbntI/nYAmwoan5z851sVtNIDtPxKlvcEXJu8/T0ATYcPT7T85tMh2vp/SPwTnjCjtDeI/h6dXyjLE7T/+ZffkYaHSP8IXJlMFo9I/hslUwaik0j/tnjws1JrmP2IQWDm0yO4/SnuDL0ym0j8OLbKd76fSP73jFB3J5ek/5j+k374O4j8H8BZIUPzkP+zAOSNKe+k/6Ugu/yH95D+qYFRSJ6DtP8uhRbbz/eQ/eVioNc076j/ImLuWkA/iP6rx0k1iEOI/097gC5Op0j+XkA96NqvSP0ku/yH99us/W0I+6Nms0j8f9GxWfa7SP4bJVMGopO4/jErqBDQR4j/P91PjpZvmP3/ZPXlYqOc/46WbxCCw0j+t+lxtxf7kP6hXyjLEsdI/ApoIG55e7z9sCfmgZ7PSPzC7Jw8LtdI/9GxWfa620j+PU3Qkl//kP26jAbwFEuI/d76fGi/d7j/99nXgnBHvP1D8GHPXEuI/uB6F61G40j990LNZ9bnSP0GC4seYu9I/MlUwKqkT4j8FNBE2PL3SP8nlP6TfvtI/jZduEoPA0j9SSZ2AJsLSPw8LtaZ5x+0/FK5H4XoU4j/3Bl+YTBXiPxb7y+7Jw9I/9+RhodY07z/arPpcbcXSP588LNSa5uk/nl4pyxDH0j+xv+yePCzuP7n8h/Tb1+8/SOF6FK5H7T9iEFg5tMjSPyfChqdXytI/2V92Tx4W4j+7uI0G8BbiP8uhRbbz/eg/63O1FfvL0j+vJeSDns3SP2EyVTAqqec/jSjtDb4w7T+xUGuad5zmP3PXEvJBz9I/N4lBYOXQ0j+dEaW9wRfiP0SLbOf7qec/+zpwzojS0j9yio7k8h/uP8Dsnjws1NI/k6mCUUmd5j8r9pfdk4ftP4SezarP1dI/f2q8dJMY4j9IUPwYc9fSPwwCK4cW2dI/MLsnDwu16j9hw9MrZRniP9CzWfW52tI/lWWIY13c0j9ZF7fRAN7SPx3J5T+k39I/Qxzr4jYa4j/hehSuR+HSP6UsQxzr4tI/cayL22gA5T+ze/KwUGvoP2recYqO5NI/AG+BBMWP7z91ApoIG57mPy6QoPgx5tI/8kHPZtXn0j+28/3UeOnSP4GVQ4ts5+k/eqUsQxzr0j8/V1uxv+zSPwMJih9j7tI/x7q4jQbw0j+LbOf7qfHSP1MFo5I6AeU/JXUCmggb4j/ek4eFWtPsP08eFmpN89I/FNBE2PD00j81XrpJDALlP9iBc0aU9tI/nDOitDf40j/XEvJBz2brP1dbsb/snuY/B84ZUdob4j9g5dAi2/nSPzm0yHa+n+Y/JJf/kH770j/pSC7/If3SP+kmMQisHOI/zhlR2ht86T/jNhrAWyDtP636XG3F/tI/cayL22gA0z81XrpJDALTP8x/SL99HeI/+Q/pt68D0z++wRcmUwXTP4JzRpT2BtM/8IXJVMGo7j9GJXUCmgjTPwrXo3A9CtM/JuSDns2q5z/OiNLe4AvTP636XG3F/ug/ldQJaCJs6D8pXI/C9SjsP5M6AU2EDdM/C7Wmeccp7D9X7C+7Jw/TPxueXinLENM/xY8xdy0h7z/HSzeJQWDvP99PjZduEu8/rthfdk8e4j/fT42XbhLTP6MBvAUSFNM/aLPqc7UV0z8wKqkT0ETuPyxlGeJYF9M/8BZIUPwY0z8Xt9EA3gLlP7TIdr6fGtM/kDF3LSEf4j/5D+m3rwPlPwg9m1Wfq+c/eHqlLEMc0z+sHFpkO9/tPz0s1JrmHdM/Ad4CCYof0z/FjzF3LSHTPyPb+X5qvOw/iUFg5dAi0z+wcmiR7XzpP03zjlN0JNM/EqW9wRcm0z9j7lpCPujpP9lfdk8eFu4/6pWyDHGs5z9JnYAmwobvP/FjzF1LyOs/zO7Jw0Kt5z+uR+F6FK7nP/T91HjpJu8/kxgEVg4t7j9yio7k8h/iP1uxv+yePOo/Gw3gLZCg5j/WVuwvuyfTP5oIG55eKdM/kKD4Meau5z9eukkMAivTP0VHcvkP6ek/VOOlm8Qg4j82PL1SliHiPyJseHqlLNM/3GgAb4EE5T8YldQJaCLiP+cdp+hILtM/q8/VVuwv0z9vgQTFjzHTPzMzMzMzM9M/4umVsgxx7D89CtejcD3qP/fkYaHWNNM/vJaQD3o20z+ASL99HTjTP0T67evAOdM/1zTvOEVH7D+FfNCzWfXtPwisHFpkO9M/zF1LyAc90z+RD3o2qz7TP/rt68A5I+I/3EYDeAsk4j9VwaikTkDTP+qVsgxxrO0/GXPXEvJB0z/dJAaBlUPTP8zuycNCre0/umsJ+aBn6z8gY+5aQj7qP6HWNO84RdM/ZohjXdxG0z8SFD/G3LXqPyo6kst/SNM//mX35GGh5j++wRcmUwXlP+7rwDkjStM/oBov3SQG5T+yne+nxkvTP3ZPHhZqTdM/OwFNhA1P0z++nxov3STiP4JzRpT2BuU//7J78rBQ0z+h+DHmriXiP3L5D+m3r+c/w2SqYFRS0z/whclUwajsPy/dJAaBle8/hxbZzvdT0z9vgQTFjzHtP0vIBz2bVdM/dy0hH/Rs6D9UUiegibDnP4NRSZ2AJuI/EHo2qz5X0z/UK2UZ4ljTP+0NvjCZKuw/ZMxdS8gH5T+Y3ZOHhVrTP2WqYFRSJ+I/XI/C9Shc0z8gQfFjzF3TP+C+DpwzouY/0gDeAgmK6z8QWDm0yHbuP0YldQKaCOU/5fIf0m9f0z+ppE5AE2HTP0cDeAskKOI/bVZ9rrZi0z/VCWgibHjqPzEIrBxaZNM/KVyPwvUo4j+PU3Qkl//oPyh+jLlrCeU/9bnaiv1l0z+6awn5oGfTP34dOGdEadM/C7Wmeccp4j9Cz2bV52rTPwaBlUOLbNM/yjLEsS5u0z8K16NwPQrlP4/k8h/Sb9M/z2bV52or7D9TliGOdXHTP+0NvjCZKuI/F0hQ/Bhz0z/b+X5qvHTTP89m1edqK+I/n6ut2F920z9kXdxGA3jTPygPC7WmedM/7MA5I0p70z+cxCCwcmjrP7ByaJHtfNM/H4XrUbge6z90JJf/kH7TP7G/7J48LOI/Dk+vlGWI7T+eXinLEMfsPznWxW00gNM/7C+7Jw8L5T+5jQbwFkjsP86I0t7gC+U//Yf029eB0z/BOSNKe4PTPxsv3SQGge0/seHplbIM5T9xrIvbaADpP4XrUbgehdM/kxgEVg4t4j8rhxbZzvfrP0mdgCbChtM/Dk+vlGWI0z+WQ4ts5/vvP9IA3gIJitM/lrIMcayL0z9aZDvfT43TPx4Wak3zjtM/kzoBTYQN5T8N4C2QoPjrP+PHmLuWkNM/dnEbDeAt4j9YyjLEsS7iP6d5xyk6ktM/xY8xdy0h7T9rK/aX3ZPTPy/dJAaBldM/ArwFEhQ/6j9TBaOSOgHpP/OOU3Qkl9M/uECC4seY0z988rBQa5rTP0Ck374OnNM/YHZPHhZq7T8EVg4tsp3TP1mGONbFbeg/m+Ydp+hI7D91kxgEVg7lP8gHPZtVn9M/jLlrCfmg0z9Ra5p3nKLTPxUdyeU/pNM/OiNKe4Mv4j/ZzvdT46XTP52AJsKGp9M/f9k9eVio6z9hMlUwKqnTPybkg57NqtM/5BQdyeU/6j8730+Nl27oP+tztRX7y+4/6pWyDHGs0z+uR+F6FK7TP3L5D+m3r9M/Nqs+V1ux0z/7XG3F/rLTP78OnDOitNM/g8DKoUW20z9HcvkP6bfTPzVeukkMAuk/V+wvuycP5T8LJCh+jLnTPxx8YTJVMOI/F7fRAN4C6T/Q1VbsL7vTP5SHhVrTvNM/WDm0yHa+0z8c6+I2GsDTP+CcEaW9wdM/8WPMXUvI7T+lTkATYcPTP8IXJlMFo+Y/aQBvgQTF0z8tsp3vp8bTPzlFR3L5D+U/8WPMXUvI0z+1FfvL7snTPzojSnuDL+4/escpOpLL0z+jI7n8h/TvPxueXinLEOU//tR46SYx4j8+eVioNc3TP6RwPQrXo+Y/hslUwaik5j+YTBWMSurqP7dif9k9eeo/VTAqqRPQ7j/gLZCg+DHiPxniWBe30e4/eqUsQxzr6j/ChqdXyjLiP6Tfvg6cM+I/Nqs+V1ux5z8CK4cW2c7TP+viNhrAW+w/GQRWDi2y5z9oImx4eqXmP8bctYR80NM//fZ14JwR5T+GONbFbTTiP2iR7Xw/NeI/Xf5D+u3r6j+KjuTyH9LTP09AE2HD09M/9GxWfa626j8T8kHPZtXTP9ejcD0K19M/YTJVMCqp6z8qOpLLf0jtP7G/7J48LOw/30+Nl24S5T+bVZ+rrdjTP18HzhlR2tM/S+oENBE24j+EDU+vlGXuPyS5/If029M/j+TyH9Jv7T+RD3o2qz7rP+hqK/aX3dM/rBxaZDvf0z8tQxzr4jbiP/kP6bevA+k/DeAtkKD47z9wzojS3uDTP0p7gy9MpuY/SFD8GHPX7j80gLdAguLTP+SDns2qz+8/waikTkAT5T/5MeauJeTTP73jFB3J5dM/LNSa5h2n5j84Z0Rpb/DtP4GVQ4ts59M/RUdy+Q/p0z8J+aBns+rTP86qz9VW7NM/klz+Q/rt0z9WDi2yne/TPw+cM6K0N+I/GsBbIEHx0z9Ra5p3nKLvP95xio7k8tM/oyO5/If00z/5MeauJeTrP2fV52or9tM/K4cW2c730z/x9EpZhjjiPw4tsp3vp+Y/7zhFR3L50z9zaJHtfD/rP7Pqc7UV+9M/eJyiI7n80z8/xty1hHzuP6MBvAUSFOU/PE7RkVz+0z+Sy39Iv33pPwAAAAAAANQ/xLEubqMB1D+IY13cRgPUPz/G3LWEfOw/GlHaG3xh7j9NFYxK6gTUP4Za07zjFOU/Ece6uI0G1D/VeOkmMQjUP9xoAG+BBOk/mSoYldQJ1D9os+pztRXlP13cRgN4C9Q/P1dbsb/s6j/TTWIQWDniPyKOdXEbDdQ/SgwCK4cW5T/mP6Tfvg7UP7WmeccpOuI/qvHSTWIQ1D8sZRniWBflP26jAbwFEtQ/aW/whclU7T8yVTAqqRPUP5m7lpAPeu4/9wZfmEwV1D+7uI0G8BbUPyegibDh6ek/f2q8dJMY1D9DHOviNhrUPxB6Nqs+V+8/B84ZUdob1D8OvjCZKhjlP/AWSFD8GOU/l/+Qfvs64j/NO07RkVzsP3lYqDXNO+I/zH9Iv30d1D+QMXctIR/UP1TjpZvEINQ/0m9fB84Z5T8YldQJaCLUP1uxv+yePOI/3EYDeAsk1D8mUwWjkjrvP6H4MeauJdQ/PQrXo3A94j/V52or9pfvP2WqYFRSJ9Q/HThnRGlv6D8pXI/C9SjUP9Pe4AuTqew/AJF++zpw6D/tDb4wmSrUP/CFyVTBqOY/097gC5Op5j+1N/jCZKrsP3Qkl/+Qfuk/1sVtNIC36j+xv+yePCzUP3ZxGw3gLdQ/OiNKe4Mv1D/+1HjpJjHUP8KGp1fKMtQ/hjjWxW001D8gY+5aQj7iP7TIdr6fGuU/Vn2utmJ/6T/7XG3F/rLnP921hHzQs+c/RIts5/up6z8CvAUSFD/iP0vqBDQRNtQ/D5wzorQ31D+1N/jCZKrmP+QUHcnlP+I/001iEFg51D+WIY51cRvlP3h6pSxDHOU/W9O84xQd5T+X/5B++zrUP1uxv+yePNQ/IGPuWkI+1D/kFB3J5T/UP6jGSzeJQdQ/xm00gLdA4j/NO07RkVzuP8ZtNIC3QOo/bHh6pSxD1D+4HoXrUbjqPzAqqRPQRNQ//kP67evA7z+XkA96NqvmP/Xb14FzRtQ/uY0G8BZI1D99PzVeuknUP78OnDOitOc/QfFjzF1L1D+oxks3iUHiPwWjkjoBTdQ/ylTBqKRO1D89LNSa5h3lP4ofY+5aQuI/swxxrIvb7D+hZ7Pqc7XnP7RZ9bnaius/jgbwFkhQ1D+VZYhjXdzsP3Noke18P+8/H4XrUbge5T9SuB6F61HUP0vIBz2bVe0/FmpN845T1D/aG3xhMlXUP3zysFBrmu0/n82qz9VW1D9seHqlLEPiP77BFyZTBek/Y3/ZPXlY1D851sVtNIDpPycxCKwcWtQ/jLlrCfmg7T/r4jYawFvUP07RkVz+Q+I/ZRniWBe37z88vVKWIY7vP6+UZYhjXdQ/MCqpE9BE4j90RpT2Bl/UPxsv3SQGgek/Ad4CCYof5T84+MJkqmDUP3npJjEIrOY//Knx0k1i1D/jNhrAWyDlP8BbIEHxY9Q/fh04Z0Rp6z+EDU+vlGXUPxKDwMqhReI/SL99HThn1D9bQj7o2azmPw1xrIvbaNQ/0SLb+X5q1D+V1AloImzUPyGwcmiR7eo/9dvXgXNG4j+WsgxxrIvrP+LplbIMceg/CfmgZ7Pq6T89m1Wfq63mP1mGONbFbdQ/xEKtad5x6D+mm8QgsHLoP9c07zhFR+I/HThnRGlv1D9cIEHxY8ztP7mNBvAWSOI/l5APejar7D/9h/Tb14HpP5vmHafoSOI/4umVsgxx1D+mm8QgsHLUP2pN845TdNQ/mbuWkA966j99PzVeukniP8WPMXctIeU/Lv8h/fZ11D+n6Egu/yHtP/AWSFD8GO8/8rBQa5p31D+3Yn/ZPXnUP1+YTBWMSuI/07zjFB3J6z97FK5H4XrUP6foSC7/IeU/iUFg5dAi5T8/xty1hHzUP2uad5yiI+U/A3gLJCh+1D8f9GxWfa7mP8cpOpLLf9Q/jNtoAG+B1D9QjZduEoPUPxQ/xty1hNQ/TfOOU3Qk5T/Y8PRKWYbUP5yiI7n8h9Q/exSuR+F66j9hVFInoInUP6AaL90kBuk/QfFjzF1L4j8lBoGVQ4vUPwFNhA1Pr+Y/6bevA+eM1D+tad5xio7UP3EbDeAtkNQ/Ns07TtGR1D8qqRPQRNjuPzBMpgpGJeU/I0p7gy9M4j/6fmq8dJPUPwWjkjoBTeI/5/up8dJN4j++MJkqGJXUP4Lix5i7ltQ/EqW9wRcm5T/0/dR46SblP0aU9gZfmNQ/ylTBqKRO4j8LRiV1AprUP6yt2F92T+I/8kHPZtXn7D/jpZvEILDmP44G8BZIUOI/z/dT46Wb1D/WVuwvuyflP3BfB84ZUeI/3+ALk6mC6T+TqYJRSZ3UP1K4HoXrUeI/IbByaJHt7j9XW7G/7J7UP7ivA+eMKOU/Gw3gLZCg1D/gvg6cM6LUP6RwPQrXo9Q/aCJseHql1D/BOSNKe4PpPyzUmuYdp9Q/8IXJVMGo1D/9h/Tb14HtPwMJih9j7uo/iPTb14Fz6D+1N/jCZKrUP3npJjEIrNQ/PZtVn6ut1D+aCBueXinlPwFNhA1Pr9Q/xf6ye/Kw1D+ad5yiI7nqP3xhMlUwKuU/irDh6ZWy1D9OYhBYObTUPxIUP8bctdQ/gnNGlPYG6T/HSzeJQWDtP9bFbTSAt9Q/7zhFR3L56z9qTfOOU3ToP5p3nKIjudQ/NBE2PL1S4j9fKcsQx7rUPxZqTfOOU+I/ZMxdS8gH6T8j2/l+arzUP7UV+8vuyes/+MJkqmBU4j/njCjtDb7UP6s+V1uxv9Q/o5I6AU2E6T9v8IXJVMHUPzSitDf4wtQ/rIvbaABv7z/aG3xhMlXiP+xRuB6F6+k/+FPjpZvE1D/A7J48LNTsP7wFEhQ/xtQ/qMZLN4lB6j+At0CC4sfUP0Rpb/CFydQ/VcGopE5A6z8JG55eKcvUP83MzMzMzNQ/kX77OnDO1D+pE9BE2PDsP4PAyqFFtuc/VTAqqRPQ1D+LbOf7qfHuPxniWBe30dQ/VHQkl/+Q7D9MpgpGJXXoP8X+snvysOY/yJi7lpAP7D/ek4eFWtPUP6JFtvP91NQ/qvHSTWIQ7D+8dJMYBFbiP166SQwCK+U/ZvfkYaHW1D8qqRPQRNjUP+5aQj7o2dQ/IR/0bFZ97D+zDHGsi9vUP5/Nqs/VVuI/d76fGi/d1D87cM6I0t7UP/8h/fZ14NQ/fT81XrpJ7D/Oqs/VVuzpP8PTK2UZ4tQ/iIVa07zj1D98YTJVMCrtP0ATYcPTK+U/Imx4eqUs5T+F61G4HoXpP0w3iUFg5dQ/EOm3rwPn1D/UmuYdp+jUP5hMFYxK6tQ/OwFNhA1P7z9d/kP67evUP11txf6ye+o/qaROQBNh7T8hsHJoke3UP9GRXP5D+us/5WGh1jTv1D+BJsKGp1fiPz/G3LWEfOo/qRPQRNjw1D9GJXUCmgjpP23F/rJ78tQ/Ns07TtGR7D8ydy0hH/TUP/YoXI/C9dQ/utqK/WX31D9+jLlrCfnUPy7/If32deg/BTQRNjy97D9CPujZrPrUPyh+jLlrCek/B/AWSFD81D+MSuoENBHsP8uhRbbz/dQ/Z0Rpb/CF7z+PU3Qkl//UPwXFjzF3LeU/5WGh1jTv6j9TBaOSOgHVP+cdp+hILuU/qFfKMsSx5j+KsOHplbLmP7AD54wo7ek/Y3/ZPXlY4j9v8IXJVMHuPxe30QDeAtU/3GgAb4EE1T/ByqFFtvPvP8l2vp8aL+U/oBov3SQG1T9kzF1LyAfVPyh+jLlrCdU/7C+7Jw8L1T+SXP5D+u3pPwrXo3A9Cuk/7C+7Jw8L6T+x4emVsgzVP3WTGARWDtU/q8/VVuwv5T85RUdy+Q/VP0XY8PRKWeI/GCZTBaOS7D/99nXgnBHVP8GopE5AE9U/hlrTvOMU1T+NKO0NvjDlP86I0t7gC+k/SgwCK4cW1T9ApN++DpzvP26jAbwFEuw/Dr4wmSoY1T/Sb18HzhnVPzcawFsgQes/b4EExY8x5T9R2ht8YTLlPzMzMzMzM+U/Z0Rpb/CF6T8QWDm0yHboP2UZ4lgXt+c/JzEIrBxa4j8Jih9j7lriP/KwUGuad+g/liGOdXEb1T/LoUW28/3uP9/gC5Opgu0/W9O84xQd1T/r4jYawFviP5MYBFYOLew/zTtO0ZFc4j8fhetRuB7VP+M2GsBbINU/p+hILv8h1T90tRX7y+7pP2uad5yiI9U/MEymCkYl1T/0/dR46SbVPybkg57Nqus/pSxDHOvi7j+4rwPnjCjVP3xhMlUwKtU/QBNhw9Mr1T+x4emVsgzpPwXFjzF3LdU/kzoBTYQN6T/Jdr6fGi/VPxWMSuoENOU/r5RliGNd4j+NKO0NvjDVP/fkYaHWNOU/UdobfGEy1T9Q/Bhz1xLsPxWMSuoENNU/1QloImx46D/ZPXlYqDXVP86qz9VW7O8/2T15WKg15T+e76fGSzfVP6+UZYhjXe4/YqHWNO841T8mUwWjkjrVP7yWkA96NuU/6gQ0ETY81T+utmJ/2T3VP3Noke18P9U/dnEbDeAt7D83GsBbIEHVP/vL7snDQtU/ke18PzVe4j+/fR04Z0TVP4MvTKYKRtU/VFInoImw7z9I4XoUrkfVP2wJ+aBns+Y/DJOpglFJ1T/QRNjw9ErVP5T2Bl+YTNU/WKg1zTtO1T9gdk8eFmrrP6RwPQrXo+4/dEaU9gZf4j8dWmQ730/VP+ELk6mCUdU/nu+nxks35T+lvcEXJlPVP2lv8IXJVNU/s+pztRX76z8tIR/0bFbVP/LSTWIQWNU/gEi/fR045T+KjuTyH9LvP1afq63YX+I/TmIQWDm05j+2hHzQs1nVP3o2qz5XW9U/1JrmHafo7D8+6Nms+lzVPwKaCBueXtU/x0s3iUFg1T84+MJkqmDiPwyTqYJRSe0/i/1l9+Rh1T9Pr5RliGPVPxNhw9MrZdU/MLsnDwu15j/XEvJBz2bVP5zEILByaNU/YqHWNO845T9gdk8eFmrVPxpR2ht8YeI/JCh+jLlr1T/8qfHSTWLiP+jZrPpcbdU/rIvbaABv1T91kxgEVg7pP7dif9k9eeg/cT0K16Nw1T817zhFR3LVP5ZDi2zn++s/+aBns+pz1T+9UpYhjnXVP4EExY8xd9U/R3L5D+m35z9GtvP91HjVPwpoImx4etU/EhQ/xty15j+7uI0G8BbuP1fsL7snD+0/zhlR2ht81T+Sy39Iv33VP451cRsN4O0/Vn2utmJ/1T/eAgmKH2PiPxsv3SQGgdU/3+ALk6mC1T+1pnnHKTruP1fsL7snD+k/wFsgQfFj4j+jkjoBTYTVP3gLJCh+jOs/Z0Rpb/CF1T8r9pfdk4fVP/Cnxks3idU/Vn2utmJ/7z9E+u3rwDnlP7RZ9bnaitU/eAskKH6M1T+Zu5aQD3roPzy9UpYhjtU/AG+BBMWP1T/FILByaJHVP4nS3uALk9U/Ad4CCYof6z9JnYAmwobpPyZTBaOSOuU/4zYawFsg6z9NhA1Pr5TVPxE2PL1SltU/1edqK/aX1T8pyxDHurjnP6K0N/jCZOI/mpmZmZmZ1T9eS8gHPZvVPyL99nXgnNU/Qs9m1edq6z/mriXkg57VP6pgVFInoNU/bxKDwMqh1T8Zc9cS8kHrPzPEsS5uo9U/9GxWfa625j+EDU+vlGXiP2ZmZmZmZuI/93XgnBGl1T+7Jw8LtabVPygPC7Wmee0/1sVtNIC35j8IrBxaZDvlPzJVMCqpE+w/uB6F61G45j8LJCh+jLnnP1JJnYAmwu4/K/aX3ZOH6T9Iv30dOGfiP3/ZPXlYqNU/RIts5/up1T8IPZtVn6vVPxNhw9MrZe0/zO7Jw0Kt1T+QoPgx5q7VP1RSJ6CJsNU/KxiV1Alo4j8ZBFYOLbLVP+oENBE2POU/3bWEfNCz1T+hZ7Pqc7XVP2UZ4lgXt9U/KcsQx7q41T/ufD81XrrVP7IubqMBvNU/duCcEaW91T+4QILix5jvP+58PzVeuuc/OpLLf0i/1T8OT6+UZYjpP/5D+u3rwNU/w/UoXI/C1T8NcayL22jiP/vL7snDQus/h6dXyjLE1T97FK5H4XruP0tZhjjWxdU/Dwu1pnnH1T/TvOMUHcnVP5p3nKIjueY/mG4Sg8DK1T9cIEHxY8zVP+/Jw0KtaeI/INJvXwfO1T/kg57Nqs/VP6g1zTtO0dU/0SLb+X5q4j/MXUvIBz3lP/Cnxks3iek/bef7qfHS1T8xmSoYldTVP/VKWYY41tU/s3vysFBr4j+5/If029fVP32utmJ/2dU/QmDl0CLb1T8GEhQ/xtzVP8rDQq1p3tU/jnVxGw3g1T+V1AloImziP33Qs1n1ueY/UiegibDh1T/dJAaBlUPrPzlFR3L5D+k/F9nO91Pj1T97FK5H4XroP6+UZYhjXew/H4XrUbge7z8pyxDHurjvP9uK/WX35NU/XynLEMe65j+fPCzUmubVP2PuWkI+6NU/dy0hH/Rs4j/biv1l9+TrPyegibDh6dU/WYY41sVt4j/sUbgehevVP0GC4seYu+Y/ih9j7lpC6j8730+Nl27iP7AD54wo7dU/HThnRGlv4j9YyjLEsS7sP5huEoPAyus/dLUV+8vu1T83iUFg5dDuPx04Z0Rpb+4/OGdEaW/w1T/8GHPXEvLVP1pkO99Pjes/wcqhRbbz1T+FfNCzWfXVP4C3QILix+w/I9v5fmq85j9JLv8h/fbVPwCRfvs6cOI/DeAtkKD41T/i6ZWyDHHiPxueXinLEOk/0ZFc/kP61T/EQq1p3nHiP9DVVuwvu+c/BTQRNjy95j+z6nO1FfvtP+eMKO0NvuY/lkOLbOf71T9a9bnaiv3VP662Yn/ZPeU/HqfoSC7/1T+mm8QgsHLiP1r1udqK/e0/yeU/pN++5j/iWBe30QDWP6YKRiV1AtY/54wo7Q2+7j+RD3o2qz7lP6s+V1uxv+Y/si5uowG85z+I9NvXgXPiP2pN845TdOI/arx0kxgE1j9MpgpGJXXiPy9uowG8BdY/8x/Sb18H1j+30QDeAgnWP3uDL0ymCtY/Lv8h/fZ14j8/NV66SQzWP42XbhKDwOY/IR/0bFZ96j8DeAskKH7qPwTnjCjtDdY/yJi7lpAP1j+MSuoENBHWP9IA3gIJiuk/FK5H4XoU7D9Q/Bhz1xLWP3Noke18P+U/EFg5tMh24j8UrkfhehTWP2/whclUweY/2V92Tx4W1j9WDi2yne/pP50Rpb3BF9Y/X5hMFYxK7D/99nXgnBHpP2HD0ytlGdY/JXUCmggb1j/pJjEIrBzWP67YX3ZPHtY/coqO5PIf1j82PL1SliHWP5SHhVrTvOc/+u3rwDkj1j++nxov3STWP6JFtvP91Ow/VcGopE5A5T+DUUmdgCbWP0cDeAskKNY/C7Wmeccp1j/ysFBrmnfiP9UJaCJseOI/z2bV52or1j+TGARWDi3WP1jKMsSxLtY/t2J/2T154j8cfGEyVTDWP799HThnROs/4C2QoPgx1j+Zu5aQD3riP6Tfvg6cM9Y/cayL22gA7T9oke18PzXWP3sUrkfheuI/LUMc6+I21j/x9EpZhjjWP7FQa5p3nO4/taZ5xyk61j/cRgN4CyTuP3npJjEIrOw/eVioNc071j89CtejcD3WP662Yn/ZPe8/XW3F/rJ74j8CvAUSFD/WP8ZtNIC3QNY/veMUHcnl6z+KH2PuWkLWPz/G3LWEfOI/NxrAWyBB5T9O0ZFc/kPWPyEf9GxWfeI/A3gLJCh+4j9SSZ2AJsLmP2x4eqUsQ+o/EoPAyqFF1j/fT42XbhLpP9c07zhFR9Y/5dAi2/l+4j8Zc9cS8kHlP5vmHafoSNY/X5hMFYxK1j8jSnuDL0zWP+f7qfHSTdY/+8vuycNC5T/HKTqSy3/iP6qCUUmdgOI/rK3YX3ZP1j9wXwfOGVHWP90kBoGVQ+U/jNtoAG+B4j80ETY8vVLWP/jCZKpgVNY/bjSAt0CC4j924JwRpb3nP9v5fmq8dO0/vHSTGARW1j9QjZduEoPiP4EmwoanV9Y/MuauJeSD4j9F2PD0SlnWPwmKH2PuWtY/zTtO0ZFc1j8cfGEyVTDuPxQ/xty1hOI/ke18PzVe1j9dbcX+snvoP1afq63YX9Y/9pfdk4eF4j9YObTIdr7nPxpR2ht8YdY/v30dOGdE5T8/xty1hHzoP94CCYofY9Y/orQ3+MJk1j/Y8PRKWYbiP2ZmZmZmZtY/KxiV1Alo1j/vycNCrWnWP/H0SlmGOO4/s3vysFBr1j93LSEf9GzWP6HWNO84ReU/O99PjZdu1j8AkX77OnDWP3rHKTqSy+s/xEKtad5x1j+I9NvXgXPWP9xoAG+BBO8/OpLLf0i/5z9MpgpGJXXWPxBYObTIdtY/ukkMAiuH4j/HuriNBvDqP9UJaCJseNY/mbuWkA961j9dbcX+snvWPyEf9GxWfdY/5dAi2/l+1j+qglFJnYDWP240gLdAgtY/nKIjufyH4j+fPCzUmubrPzLmriXkg9Y/IR/0bFZ96D9/+zpwzojiP/aX3ZOHhdY/HOviNhrA5z/dJAaBlUPvP0i/fR04Z+4/YVRSJ6CJ4j+pE9BE2PDqP0Otad5xiuI/ukkMAiuH1j8lBoGVQ4viPwdfmEwVjOI/f/s6cM6I1j9DrWnecYrWPwdfmEwVjNY/yxDHuriN1j/pt68D54ziP4MvTKYKRuU/j8L1KFyP1j9UdCSX/5DWP8sQx7q4jeI/rWnecYqO4j/DZKpgVFLvPxgmUwWjktY/CD2bVZ+r6z+PwvUoXI/iP9zXgXNGlNY/oImw4emV1j+0WfW52orpP2Q730+Nl9Y/Ke0NvjCZ1j+BlUOLbOfrP+XQItv5fuo/cRsN4C2Q4j/tnjws1JrWP7FQa5p3nNY/NKK0N/jC5j84Z0Rpb/DpP/Cnxks3ie0/GsBbIEHx6T91ApoIG57WP2gibHh6pe4/FvvL7snD5j+KsOHplbLuPzm0yHa+n9Y/VHQkl/+Q4j/+ZffkYaHWPwrXo3A9Cu8/whcmUwWj1j82zTtO0ZHiP4bJVMGopNY/ZohjXdxG5T/+Q/rt68DnP0p7gy9MptY/Di2yne+n1j9I4XoUrkflP9Pe4AuTqdY/l5APejar1j9bQj7o2azWPx/0bFZ9rtY/46WbxCCw1j+oV8oyxLHWPwpoImx4eu0/bAn5oGez1j/4U+Olm8TmP33Qs1n1ueo/KjqSy39I5T+WsgxxrIvvP8GopE5AE+k/MLsnDwu11j/0bFZ9rrbWP7gehetRuNY/fdCzWfW51j/3Bl+YTBXsP0GC4seYu9Y/xEKtad5x7D8YJlMFo5LiPwU0ETY8vdY/W0I+6Nms7D/J5T+k377WP42XbhKDwNY/+n5qvHST4j/HKTqSy3/qPwyTqYJRSeU/3NeBc0aU4j89m1Wfq63sP1JJnYAmwtY/FvvL7snD1j/arPpcbcXWPzGZKhiV1O8/Imx4eqUs7z++MJkqGJXiPwN4CyQofug/2qz6XG3F5j+eXinLEMfWP+7rwDkjSuU/oImw4emV4j9iEFg5tMjWP4Lix5i7luI/J8KGp1fK1j/rc7UV+8vWP68l5IOezdY/c9cS8kHP1j/QRNjw9ErlP7Kd76fGS+U/5dAi2/l+6D9kO99PjZfiP5ayDHGsi+k/N4lBYOXQ1j9Cz2bV52rtP4lBYOXQIu0/+zpwzojS1j8E54wo7Q3uP+CcEaW9wec/wOyePCzU1j9GlPYGX5jiP8cpOpLLf+g/hJ7Nqs/V1j8p7Q2+MJniP1wgQfFjzOs/SFD8GHPX1j+U9gZfmEzlP07RkVz+Q+o/eAskKH6M6T+qglFJnYDoP1pkO99Pjek/DAIrhxbZ1j8LRiV1ApriP9CzWfW52tY/PL1SliGO6T+VZYhjXdzWP1kXt9EA3tY/HcnlP6Tf1j+8BRIUP8bmP+F6FK5H4dY/pSxDHOvi1j9q3nGKjuTWPy6QoPgx5tY/8kHPZtXn1j+jAbwFEhTpP7bz/dR46dY/7Z48LNSa4j/FjzF3LSHrP8cpOpLLf+4/eqUsQxzr1j88TtGRXP7tPz9XW7G/7NY/z/dT46Wb4j8DCYofY+7WP8e6uI0G8NY/i2zn+6nx1j9PHhZqTfPWP9lfdk8eFuw/FNBE2PD01j/YgXNGlPbWP4Za07zjFOk/nDOitDf41j9g5dAi2/nWPwN4CyQofuw/sVBrmnec4j8kl/+QfvvWPx4Wak3zjuk/dk8eFmpN5T/pSC7/If3WP5OpglFJneI/rfpcbcX+1j9xrIvbaADXPzVeukkMAtc/+Q/pt68D1z9YqDXNO07lP8P1KFyPwuc/wcqhRbbz7T++wRcmUwXXP4JzRpT2Btc/nl4pyxDH5j87AU2EDU/lP0YldQKaCNc/CtejcD0K1z+M22gAb4HoP86I0t7gC9c/kzoBTYQN1z9X7C+7Jw/XPx1aZDvfT+U/G55eKcsQ1z+lTkATYcPnP3icoiO5/Os/30+Nl24S1z+Hp1fKMsTnP1r1udqK/es/dQKaCBue4j+jAbwFEhTXPwAAAAAAAPA/aQBvgQTF5z9os+pztRXXP2sr9pfdk+8/LGUZ4lgX1z8tIR/0bFbtP4C3QILix+Y/bjSAt0CC6D+Cc0aU9gbtP18pyxDHuuo/8BZIUPwY1z+0yHa+nxrXP/+ye/KwUOU/aLPqc7UV6T9XW7G/7J7iP3h6pSxDHNc/4QuTqYJR5T89LNSa5h3XPzm0yHa+n+I/Gw3gLZCg4j8B3gIJih/XP8WPMXctIdc/iUFg5dAi1z9N845TdCTXP1CNl24Sg+g/S1mGONbF5z+n6Egu/yHrPxKlvcEXJtc/1lbsL7sn1z+aCBueXinXP/5l9+RhoeI/QYLix5i76j88TtGRXP7rP5EPejarPu0/4L4OnDOi4j9eukkMAivXPyJseHqlLNc/whcmUwWj4j8kufyH9NvtP+cdp+hILtc/q8/VVuwv1z+kcD0K16PiP4bJVMGopOI/vJaQD3o27T9vgQTFjzHXP6AaL90kBu8/MzMzMzMz1z8Ab4EExY/pP+qVsgxxrOs/9+RhodY01z+8lpAPejbXP4BIv30dONc/RPrt68A51z8IrBxaZDvXPy2yne+nxuc/w2SqYFRS5T/MXUvIBz3XP0ymCkYlde4/Dwu1pnnH5z8kKH6MuWvrP5EPejarPtc/RIts5/up7z/xY8xdS8jnP1XBqKROQNc/GXPXEvJB1z/dJAaBlUPXP6qCUUmdgOo/odY07zhF1z/TvOMUHcnvP2aIY13cRtc/aCJseHql4j8qOpLLf0jXP9O84xQdyec/SnuDL0ym4j/jx5i7lpDpPzLmriXkg+g/YhBYObTI5j9B8WPMXUvsP+7rwDkjStc/sp3vp8ZL1z8j2/l+arzqP8zuycNCres/RGlv8IXJ5j8s1JrmHafiP3ZPHhZqTdc/OwFNhA1P1z8nwoanV8rmP/+ye/KwUNc/w2SqYFRS1z+HFtnO91PXP0vIBz2bVdc/EHo2qz5X1z/UK2UZ4ljXP5jdk4eFWtc/Di2yne+n4j+lvcEXJlPlP65H4XoUru0/XI/C9Shc1z/whclUwajiPyBB8WPMXdc/097gC5Op4j/l8h/Sb1/XP7U3+MJkquI/qaROQBNh1z9tVn2utmLXPzAqqRPQROo/54wo7Q2+7D8xCKwcWmTXP/W52or9Zdc/hxbZzvdT5T+6awn5oGfXP34dOGdEadc/FD/G3LWE6D/8GHPXEvLpP0LPZtXnatc/BoGVQ4ts1z+FfNCzWfXvP4ts5/up8eo/l5APejar4j/2l92Th4XoP3npJjEIrOI/W0I+6Nms4j+1FfvL7snnP8oyxLEubtc/j+TyH9Jv1z89m1Wfq63iPx/0bFZ9ruI/U5YhjnVx1z+uR+F6FK7rPxdIUPwYc9c/CRueXinL5j/b+X5qvHTXP5+rrdhfdtc/ZF3cRgN41z8BTYQNT6/iP28Sg8DKoe0/5dAi2/l+7D8oDwu1pnnXP8UgsHJokek/aW/whclU5T/swDkjSnvXP3rHKTqSy+8/46WbxCCw4j+wcmiR7XzXPwU0ETY8veo/dCSX/5B+1z851sVtNIDXP/2H9NvXgdc/xf6ye/Kw4j/ecYqO5PLpP8E5I0p7g9c/qFfKMsSx4j+QoPgx5q7rP5huEoPAyuc/hetRuB6F1z8Sg8DKoUXqP0mdgCbChtc/Dk+vlGWI1z/T3uALk6nuP0vIBz2bVeU/0gDeAgmK1z+WsgxxrIvXP1pkO99Pjdc/MuauJeSD7j8eFmpN847XP+PHmLuWkNc/p3nHKTqS1z9rK/aX3ZPXPy0hH/RsVuU/EHo2qz5X5T/rc7UV+8vmPy/dJAaBldc/irDh6ZWy4j8Rx7q4jQbuP2wJ+aBns+I/GsBbIEHx7z/zjlN0JJfXPwdfmEwVjO4/8tJNYhBY5T9OYhBYObTiP83MzMzMzOY/uECC4seY1z8wuycPC7XuP5Cg+DHmru0/fPKwUGua1z9ApN++DpzXPwRWDi2yndc/yAc9m1Wf1z+vJeSDns3mP4y5awn5oNc/UWuad5yi1z+2hHzQs1nvPxUdyeU/pNc/7zhFR3L57T/ZzvdT46XXP8HKoUW28+k/ke18PzVe7D+dgCbChqfXP/d14JwRpe0/YTJVMCqp1z8m5IOezarXP+qVsgxxrNc/rkfhehSu1z9y+Q/pt6/XP+eMKO0Nvuo/PnlYqDXN6z8wuycPC7XiP3rHKTqSy+c/EhQ/xty14j82qz5XW7HXP/RsVn2utuI/IGPuWkI+7j/WxW00gLfiP/tcbcX+stc/uB6F61G44j+/DpwzorTXP4PAyqFFttc/R3L5D+m31z/UK2UZ4ljlPwskKH6Mudc/7uvAOSNK7T+ad5yiI7niP33Qs1n1ueI/XCBB8WPM5z+2hHzQs1nlPyDSb18Hzus/0NVW7C+71z+Uh4Va07zXP1g5tMh2vtc/2PD0SlmG6D8c6+I2GsDXP+CcEaW9wdc/mN2Th4Va5T+6SQwCK4foP6VOQBNhw9c/I0p7gy9M7D+JQWDl0CLrP2kAb4EExdc/PnlYqDXN5z8tsp3vp8bXP18pyxDHuuI/UwWjkjoB7T/xY8xdS8jXP5F++zpwzuY/tRX7y+7J1z9BguLHmLviP3rHKTqSy9c/bcX+snvy6j+neccpOpLpPz55WKg1zdc/AiuHFtnO1z93vp8aL93sP8bctYR80Nc/idLe4AuT6T8i/fZ14JzvP4qO5PIf0tc/oyO5/If06T8j2/l+arziP8UgsHJoke8/ejarPldb5T8kl/+QfvvuP09AE2HD09c/E/JBz2bV1z9n1edqK/bvP5yiI7n8h+g/BTQRNjy94j9z1xLyQc/mP9ejcD0K19c/54wo7Q2+4j+bVZ+rrdjXP18HzhlR2tc/hXzQs1n16T/J5T+k377iPyS5/If029c/6Gor9pfd1z+sHFpkO9/XP3DOiNLe4Nc/NIC3QILi1z+rPldbsb/iP3/7OnDOiOg/+THmriXk1z+94xQdyeXXP9nO91Pjpe0/jNtoAG+B6j+BlUOLbOfXP0VHcvkP6dc/CfmgZ7Pq1z/Oqs/VVuzXP3npJjEIrO4/jZduEoPA4j9v8IXJVMHiP4ts5/up8ew/UkmdgCbC4j+h1jTvOEXrP5Jc/kP67dc/NKK0N/jC4j9WDi2yne/XPxrAWyBB8dc/3nGKjuTy1z+jI7n8h/TXPxb7y+7Jw+I/Z9Xnaiv21z8rhxbZzvfXP57vp8ZLN+0/7zhFR3L51z//If32deDuP7Pqc7UV+9c/io7k8h/S7T9PHhZqTfPqP3icoiO5/Nc/PE7RkVz+1z/4U+Olm8TiP/Xb14FzRuo/AAAAAAAA2D9txf6ye/LsP8SxLm6jAdg/XI/C9Shc5T+qglFJnYDuP2fV52or9uk/iGNd3EYD2D9y+Q/pt6/tP9qs+lxtxeI/vAUSFD/G4j9NFYxK6gTYP55eKcsQx+I/PujZrPpc5T8Rx7q4jQbYP/YoXI/C9e4/1XjpJjEI2D9rK/aX3ZPpP5kqGJXUCdg/XdxGA3gL2D+At0CC4sfiP2ZmZmZmZu4/Io51cRsN2D/mP6Tfvg7YPyDSb18Hzuc/qvHSTWIQ2D9VMCqpE9DmP26jAbwFEtg/MlUwKqkT2D/3Bl+YTBXYP2FUUiegieg/1zTvOEVH6j+7uI0G8BbYP39qvHSTGNg/si5uowG87z8gQfFjzF3lP2IQWDm0yOI/RGlv8IXJ4j9DHOviNhrYPzJ3LSEf9Oo/ApoIG55e5T8nwoanV8riPwfOGVHaG9g/HqfoSC7/6z/l8h/Sb1/lP7prCfmgZ+8/dLUV+8vu7z9uNIC3QILuPwkbnl4py+I/zH9Iv30d2D+QMXctIR/YP+tztRX7y+I/AiuHFtnO6z9U46WbxCDYP0aU9gZfmO4/N4lBYOXQ5j9KDAIrhxbpPxiV1AloItg/3EYDeAsk2D/NzMzMzMziPwIrhxbZzuc/ofgx5q4l2D9lqmBUUifYP240gLdAguo/GeJYF7fR5j9JLv8h/fbpPylcj8L1KNg/TYQNT6+U6T/tDb4wmSrYP7G/7J48LNg/cM6I0t7g7T9DrWnecYroP2iz6nO1Fe0/Tx4Wak3z7D92cRsN4C3YP68l5IOezeI/gy9MpgpG6z+Rfvs6cM7iPzojSnuDL9g/x0s3iUFg5T8v3SQGgZXpPwaBlUOLbOs/UI2XbhKD6j/WxW00gLfuP/7UeOkmMdg/woanV8oy2D+ppE5AE2HlPz55WKg1ze8/hjjWxW002D9L6gQ0ETbYPw+cM6K0N9g/i/1l9+Rh5T/7OnDOiNLmP9NNYhBYOdg/Y+5aQj7o6z+X/5B++zrYP1uxv+yePNg/ETY8vVKW6T8gY+5aQj7YPzojSnuDL+w/5BQdyeU/2D8sZRniWBfpP6jGSzeJQdg/Dr4wmSoY6T9seHqlLEPYPzAqqRPQRNg/9dvXgXNG2D9rmnecoiPrP7mNBvAWSNg/3pOHhVrT5j99PzVeuknYPwtGJXUCmuw/EoPAyqFF7j/zjlN0JJfpP3PXEvJBz+I/VTAqqRPQ4j9tVn2utmLlP0HxY8xdS9g/mSoYldQJ7j8Fo5I6AU3YP8pUwaikTtg/N4lBYOXQ4j+OBvAWSFDYPxniWBe30eI/+zpwzojS4j/kg57Nqs/nP96Th4Va0+I/9GxWfa627j/A7J48LNTmP77BFyZTBe8/wOyePCzU4j9SuB6F61HYP0+vlGWIY+U/xty1hHzQ5z8Wak3zjlPYP9obfGEyVdg/okW28/3U4j9y+Q/pt6/rP5/Nqs/VVtg/JQaBlUOL6D+iRbbz/dTmP2N/2T15WNg/JzEIrBxa2D/r4jYawFvYP6+UZYhjXdg/WDm0yHa+7z90RpT2Bl/YPzj4wmSqYNg//Knx0k1i2D+Ens2qz9XiP2b35GGh1uI/8BZIUPwY6T+neccpOpLtP8BbIEHxY9g/hJ7Nqs/V5j+EDU+vlGXYP0i/fR04Z9g/1edqK/aX6T8NcayL22jYP9Ei2/l+atg/MQisHFpk5T8Xt9EA3gLvP7mNBvAWSOo/ldQJaCJs2D9ZhjjWxW3YPx04Z0Rpb9g/4umVsgxx2D/kg57Nqs/rP6abxCCwctg/ak3zjlN02D8HX5hMFYzoP6g1zTtO0ec/SFD8GHPX4j8qqRPQRNjiPwWjkjoBTew/ZvfkYaHW5j8MAiuHFtniP8nlP6Tfvuo/7lpCPujZ4j8u/yH99nXYPzLmriXkg+o/8rBQa5p32D+KjuTyH9LnP9CzWfW52uI/t2J/2T152D+zDHGsi9viP3sUrkfhetg/P8bctYR82D81XrpJDALtP23n+6nx0uc/SFD8GHPX5j8DeAskKH7YPxNhw9MrZeU/VFInoImw6z9/+zpwzojuP8cpOpLLf9g/Nqs+V1ux6z+b5h2n6EjqP4zbaABvgdg/UI2XbhKD2D8UP8bctYTYP/W52or9ZeU/uECC4seY6T/XEvJBz2blP5VliGNd3OI/umsJ+aBn5T/Y8PRKWYbYP5yiI7n8h9g/YVRSJ6CJ2D8lBoGVQ4vYP1RSJ6CJsO0/AiuHFtnO7z8qqRPQRNjmP+ELk6mCUe8/d76fGi/d4j/tnjws1JrsP4v9ZffkYe0/6bevA+eM2D+tad5xio7YPwwCK4cW2eY/cRsN4C2Q2D+cxCCwcmjlP34dOGdEaeU/0m9fB84Z6T8awFsgQfHtP1kXt9EA3uI/YHZPHhZq5T/uWkI+6NnmP0LPZtXnauU/RUdy+Q/p6z+J0t7gC5PtPzbNO07Rkdg/+n5qvHST2D++MJkqGJXYP4Lix5i7ltg/UiegibDh7T9GlPYGX5jYPwtGJXUCmtg/z/dT46Wb2D+TqYJRSZ3YP1dbsb/sntg/O3DOiNLe4j8bDeAtkKDYP+C+Dpwzotg/pHA9Ctej2D8U0ETY8PTqP+jZrPpcbes/qz5XW7G/6j9PQBNhw9PnP03zjlN0JOs/aCJseHql2D8s1JrmHafYP/CFyVTBqNg/tTf4wmSq2D956SYxCKzYPz2bVZ+rrdg/AU2EDU+v2D/F/rJ78rDYP4qw4emVstg/JCh+jLlr5T9OYhBYObTYPxIUP8bctdg/1sVtNIC32D+ad5yiI7nYP65H4XoUru8/0LNZ9bna5j9fKcsQx7rYP7MMcayL2+Y/YTJVMCqp7T8j2/l+arzYP+eMKO0Nvtg/qz5XW7G/2D/pt68D54zoPx3J5T+k3+I/b/CFyVTB2D/RkVz+Q/rtPzSitDf4wtg/+FPjpZvE2D+8BRIUP8bYP/8h/fZ14OI/4XoUrkfh4j+At0CC4sfYP30/NV66Seo/RGlv8IXJ2D8JG55eKcvYPwaBlUOLbOU/zczMzMzM2D+Rfvs6cM7YP+jZrPpcbeU/w9MrZRni4j9VMCqpE9DYPxniWBe30dg/3pOHhVrT2D+iRbbz/dTYP2b35GGh1tg/xyk6kst/7D/KMsSxLm7lP6MBvAUSFO8/KqkT0ETY2D+lLEMc6+LiP7RZ9bnaiu8/iIVa07zj4j/uWkI+6NnYP7MMcayL29g/d76fGi/d2D9q3nGKjuTiPztwzojS3tg/yxDHuriN6D8UP8bctYTqP0w3iUFg5eI//yH99nXg2D8xmSoYldTnP8PTK2UZ4tg/lWWIY13c5j8ukKD4MebiP8oyxLEubus/iIVa07zj2D9MN4lBYOXYP2uad5yiI+0/rIvbaABv5T8kKH6MuWvtP/aX3ZOHheo/a5p3nKIj7z/G3LWEfNDrPxDpt68D59g/1JrmHafo2D+YTBWMSurYP4/k8h/Sb+U/mpmZmZmZ6T8T8kHPZtXnP7TIdr6fGuk/liGOdXEb6T9d/kP67evYPyGwcmiR7dg/EOm3rwPn4j/lYaHWNO/YP6kT0ETY8Ng/8kHPZtXn4j9txf6ye/LYPzJ3LSEf9Ng/9ihcj8L12D/UmuYdp+jiP7raiv1l99g/foy5awn52D9iEFg5tMjsP0I+6Nms+tg/B/AWSFD82D+28/3UeOniP9jw9EpZhuo/u7iNBvAW7D/DZKpgVFLtP8uhRbbz/dg/eHqlLEMc6T+PU3Qkl//YP5hMFYxK6uI/fPKwUGua6T9TBaOSOgHZP3qlLEMc6+I/F7fRAN4C2T+amZmZmZnvP13+Q/rt6+I/P1dbsb/s4j/caABvgQTZP6AaL90kBtk/ZMxdS8gH2T8ofoy5awnZP+wvuycPC9k/seHplbIM2T91kxgEVg7ZPzlFR3L5D9k/cT0K16Nw5T8hsHJoke3iP/32deCcEdk/waikTkAT2T9U46WbxCDuPwMJih9j7uI/9UpZhjjW5z+GWtO84xTZP1+YTBWMSuo/QfFjzF1L6j8xmSoYldTtP9ejcD0K1+c/SgwCK4cW2T8OvjCZKhjZP9JvXwfOGdk/mnecoiO57j+WIY51cRvZP1vTvOMUHdk/H4XrUbge2T/jNhrAWyDZP6foSC7/Idk/W9O84xQd6T9rmnecoiPZP76fGi/dJO4/kKD4Meau7z8wTKYKRiXZP+VhodY07+I/XkvIBz2b6T/0/dR46SbZP8nlP6Tfvuw/uK8D54wo2T9TliGOdXHlP3xhMlUwKtk/x7q4jQbw4j8p7Q2+MJnuP6kT0ETY8OI/QBNhw9Mr2T817zhFR3LlPyuHFtnO9+k/BcWPMXct2T/Jdr6fGi/ZP7pJDAIrh+o/jSjtDb4w2T9R2ht8YTLZPxWMSuoENNk/2T15WKg12T93vp8aL93mP57vp8ZLN9k/YqHWNO842T+LbOf7qfHiPyZTBaOSOtk/6gQ0ETY82T+9UpYhjnXtP662Yn/ZPdk/F0hQ/Bhz5T9txf6ye/LiP6H4MeauJe4/c2iR7Xw/2T83GsBbIEHZP/vL7snDQtk/Tx4Wak3z4j+/fR04Z0TZP4MvTKYKRtk/+aBns+pz5T8ydy0hH/TiP0jhehSuR9k/DJOpglFJ2T/QRNjw9ErZP2TMXUvIB+0/lPYGX5hM2T9YqDXNO07ZPxTQRNjw9OI/HVpkO99P2T89LNSa5h3pP+ELk6mCUdk/zczMzMzM7j/2KFyPwvXiP6W9wRcmU9k/aW/whclU2T/YgXNGlPbiPy0hH/RsVtk/ak3zjlN07j+ASL99HTjtP+zAOSNKe+0/8tJNYhBY2T+2hHzQs1nZP7n8h/Tb1+c/ejarPldb2T8+6Nms+lzZPwKaCBueXtk/WRe30QDe5j9ApN++DpzpP8dLN4lBYNk/utqK/WX34j+L/WX35GHZP9v5fmq8dOU/O3DOiNLe5j+cM6K0N/jiP0+vlGWIY9k/0ETY8PRK7T+bVZ+rrdjnP2aIY13cRus/E2HD0ytl2T/XEvJBz2bZPx3J5T+k3+Y/nMQgsHJo2T9gdk8eFmrZP36MuWsJ+eI/A3gLJCh+7j8ZBFYOLbLrPzJ3LSEf9Ow/vVKWIY515T//If32deDmPyQofoy5a9k/6Nms+lxt2T+si9toAG/ZP3E9CtejcNk/Ne84RUdy2T/5oGez6nPZP71SliGOddk/9ihcj8L16j+fq63YX3blP2Dl0CLb+eI/hJ7Nqs/V7D+BBMWPMXfZP0a28/3UeNk/CmgibHh62T9CPujZrPriPySX/5B+++I/gQTFjzF35T/OGVHaG3zZP5LLf0i/fdk/Vn2utmJ/2T8bL90kBoHZP9/gC5Opgtk/B/AWSFD84j+jkjoBTYTZP2dEaW/whdk/4XoUrkfh5j8r9pfdk4fZP/Cnxks3idk/tFn1udqK2T+tad5xio7oPzarPldbse0/eAskKH6M2T/pSC7/If3iP2WqYFRSJ+4/y6FFtvP94j+PwvUoXI/oP636XG3F/uI/2IFzRpT26j+mm8QgsHLsP2Rd3EYDeOU/PL1SliGO2T8wTKYKRiXrPwBvgQTFj9k/xSCwcmiR2T+J0t7gC5PZP32utmJ/2ec/OpLLf0i/7T9NhA1Pr5TZPxE2PL1Sltk/1edqK/aX2T+amZmZmZnZP15LyAc9m9k/zqrP1Vbs7T+PU3Qkl//iP0a28/3UeOU/DeAtkKD46T8i/fZ14JzZPxTQRNjw9Ow/cayL22gA4z/P91PjpZvsP+auJeSDntk/rIvbaABv6z8CvAUSFD/uP0HxY8xdS+4/qmBUUieg2T9vEoPAyqHZPzPEsS5uo9k/S+oENBE27j/D0ytlGeLmP/d14JwRpdk/uycPC7Wm2T9/2T15WKjZP0SLbOf7qdk/CD2bVZ+r2T+sHFpkO9/vP8zuycNCrdk/UwWjkjoB4z81XrpJDALjP5Cg+DHmrtk/VFInoImw2T9zaJHtfD/tPxkEVg4tstk/F7fRAN4C4z+coiO5/IfqP921hHzQs9k/oWez6nO12T9lGeJYF7fZPynLEMe6uNk/7nw/NV662T+yLm6jAbzZP3bgnBGlvdk/OpLLf0i/2T/+Q/rt68DZP8P1KFyPwtk/h6dXyjLE2T/5D+m3rwPjP6UsQxzr4uY/S1mGONbF2T+IhVrTvOPmPw8LtaZ5x9k/3GgAb4EE4z/TvOMUHcnZP5huEoPAytk/XCBB8WPM2T8g0m9fB87ZP77BFyZTBeM/5IOezarP2T+gGi/dJAbjP6g1zTtO0dk//Knx0k1i7j9xGw3gLZDoP23n+6nx0tk/zhlR2ht87T8xmSoYldTZP/VKWYY41tk/ufyH9NvX2T8YldQJaCLuP32utmJ/2dk/0gDeAgmK7T9CYOXQItvZPwYSFD/G3Nk/ysNCrWne2T9EaW/whcnsP451cRsN4Nk/UiegibDh2T8X2c73U+PZP9uK/WX35Nk/nzws1Jrm2T9j7lpCPujZPyegibDh6dk/7FG4HoXr2T9ZF7fRAN7sP+84RUdy+ek/sAPnjCjt2T90tRX7y+7ZPzhnRGlv8Nk//Bhz1xLy2T/ByqFFtvPZP15LyAc9m+0/hXzQs1n12T9UdCSX/5DoPzbNO07Rke4/SS7/If322T9I4XoUrkfrPw3gLZCg+Nk/qoJRSZ2A7D9q3nGKjuTmP9GRXP5D+tk/lkOLbOf72T8f9GxWfa7sP8X+snvysO4/WvW52or92T8ep+hILv/ZP+JYF7fRANo/48eYu5aQ7T82zTtO0ZHoP6YKRiV1Ato/arx0kxgE2j8vbqMBvAXaP/Mf0m9fB9o/t9EA3gIJ2j97gy9MpgraPz81XrpJDNo/gnNGlPYG4z8oDwu1pnnlPwTnjCjtDdo/yJi7lpAP2j+MSuoENBHaP1D8GHPXEto/CmgibHh65T8UrkfhehTaP+zAOSNKe+U/ZMxdS8gH4z/ZX3ZPHhbaP84ZUdobfOU/nRGlvcEX2j8UP8bctYTuP2HD0ytlGdo/HqfoSC7/7z8ldQKaCBvaP0YldQKaCOM/sHJoke185T8jSnuDL0zqP+kmMQisHNo/rthfdk8e2j9yio7k8h/aPzY8vVKWIdo/+u3rwDkj2j++nxov3STaP4NRSZ2AJto/RwN4CyQo2j8Fo5I6AU3qPyh+jLlrCeM/C7Wmeccp2j9rK/aX3ZPtP89m1edqK9o/kxgEVg4t2j8i/fZ14JzpPwrXo3A9CuM/7C+7Jw8L4z9YyjLEsS7aP0w3iUFg5eY/zojS3uAL4z8cfGEyVTDaPzy9UpYhjus/H4XrUbge6T/gLZCg+DHaP6Tfvg6cM9o/F7fRAN4C7T9oke18PzXaPy1DHOviNto/seHplbIM4z9fB84ZUdrnP/H0SlmGONo/kzoBTYQN4z+Sy39Iv33lP7WmeccpOto/eVioNc072j91kxgEVg7jP3Qkl/+QfuU/PQrXo3A92j9X7C+7Jw/jPzlFR3L5D+M/G55eKcsQ4z9Wfa62Yn/lPznWxW00gOU/Gy/dJAaB7z8ukKD4MebmP9GRXP5D+uk/jgbwFkhQ7j8CvAUSFD/aP/32deCcEeM/KjqSy39I6z/GbTSAt0DaP4/k8h/Sb+8/ih9j7lpC2j/fT42XbhLjPxgmUwWjkug/n6ut2F927T/BqKROQBPjP07RkVz+Q9o/EoPAyqFF2j/XNO84RUfaPxx8YTJVMOw/m+Ydp+hI2j+h1jTvOEXvP73jFB3J5e0/EHo2qz5X7T90RpT2Bl/sP1+YTBWMSto/owG8BRIU4z8jSnuDL0zaP+f7qfHSTdo/rK3YX3ZP2j9CYOXQItvnPx4Wak3zjus/cF8HzhlR2j80ETY8vVLaPxsv3SQGgeU/+MJkqmBU2j+8dJMYBFbaP1afq63YX+w/gSbChqdX2j/9h/Tb14HlPyS5/If02+c/3+ALk6mC5T9F2PD0SlnaPwmKH2PuWto/zTtO0ZFc2j/BOSNKe4PlP/p+arx0k+g/o5I6AU2E5T+GWtO84xTjP9zXgXNGlOg/ke18PzVe2j9Wn6ut2F/aP2iz6nO1FeM/BFYOLbKd6T8GEhQ/xtznPxpR2ht8Ydo/OPjCZKpg7D/mriXkg57pP42XbhKDwOo/RiV1ApoI7T/eAgmKH2PaP6g1zTtO0es/EOm3rwPn5j++MJkqGJXoP+hqK/aX3ec/orQ3+MJk2j8bDeAtkKDuP2ZmZmZmZto/oImw4emV6D9KDAIrhxbjP8rDQq1p3uc/KxiV1Alo2j/vycNCrWnaPyxlGeJYF+M/s3vysFBr2j+F61G4HoXlP6wcWmQ73+c/dy0hH/Rs2j8B3gIJih/pPxkEVg4tsu8/O99PjZdu2j8AkX77OnDaP8RCrWnecdo/s+pztRX76T+I9NvXgXPaP0ymCkYlddo/EFg5tMh22j/VCWgibHjaP/JBz2bV5+Y/mbuWkA962j9dbcX+snvaPyEf9GxWfdo/5dAi2/l+2j8OvjCZKhjjP2dEaW/wheU/qoJRSZ2A2j9uNIC3QILaPwBvgQTFj+s/4zYawFsg6T/wFkhQ/BjjP9Sa5h2n6OY/MuauJeSD2j/2l92Th4XaP451cRsN4Oc/ukkMAiuH2j+e76fGSzfvP9JvXwfOGeM/at5xio7k7j9/+zpwzojaP2/whclUweo/5/up8dJN6j9DrWnecYraP4Lix5i7lug/j+TyH9Jv6z9/+zpwzojqPwdfmEwVjNo/yxDHuriN2j+PwvUoXI/aP0mdgCbChuU/VHQkl/+Q2j8YJlMFo5LaP9zXgXNGlNo/oImw4emV2j9wzojS3uDnP2Q730+Nl9o/QmDl0CLb7z8p7Q2+MJnaP1yPwvUoXO8/tvP91Hjp5j8r9pfdk4flP+2ePCzUmto/sVBrmnec2j91ApoIG57aPzm0yHa+n9o//mX35GGh2j/jx5i7lpDrPwyTqYJRSes/UiegibDh5z/FjzF3LSHpPw5Pr5RliOU/tMh2vp8a4z8oDwu1pnnvP8IXJlMFo9o/Z9Xnaiv27T+GyVTBqKTaP1JJnYAmwuo/wTkjSnuD7T9Ke4MvTKbaPwn5oGez6u8/Di2yne+n2j/T3uALk6naP/FjzF1LyO8/liGOdXEb4z+XkA96NqvaP/tcbcX+sus/W0I+6Nms2j/eAgmKH2PuP6foSC7/Iek/H/RsVn2u2j+WQ4ts5/vpPzSAt0CC4uc/eHqlLEMc4z/jpZvEILDaP6hXyjLEsdo/bAn5oGez2j/u68A5I0rrP/YoXI/C9ew/sVBrmnec7D8wuycPC7XaP8pUwaikTuo/TfOOU3Qk7T/0bFZ9rrbaP96Th4Va0+4/uB6F61G42j990LNZ9bnaP0GC4seYu9o/BTQRNjy92j/J5T+k377aPxfZzvdT4+c/nzws1Jrm7T9b07zjFB3jP42XbhKDwNo/UkmdgCbC2j/YgXNGlPbsP/Cnxks3ieU/0gDeAgmK5T89LNSa5h3jPxb7y+7Jw9o/io7k8h/S6z9m9+RhodbsPx+F61G4HuM/2qz6XG3F2j+0WfW52orlP55eKcsQx9o/YhBYObTI2j8nwoanV8raP921hHzQs+s/yAc9m1Wf6T+WsgxxrIvlP+tztRX7y9o/ryXkg57N2j9z1xLyQc/aPzeJQWDl0No/+zpwzojS2j/5MeauJeTnPwHeAgmKH+M/wOyePCzU2j/jNhrAWyDjP4lBYOXQIuk/hJ7Nqs/V2j9IUPwYc9faP8WPMXctIeM/p+hILv8h4z8MAiuHFtnaP4NRSZ2AJu4/0LNZ9bna2j94CyQofozlP5VliGNd3No/iUFg5dAi4z9ZF7fRAN7aPx3J5T+k39o/a5p3nKIj6T9aZDvfT43lP2uad5yiI+M/4XoUrkfh2j+lLEMc6+LaP3icoiO5/Ok/at5xio7k2j+qYFRSJ6DpPy6QoPgx5to/8kHPZtXn2j+28/3UeOnaP3qlLEMc69o/P1dbsb/s2j8DCYofY+7aP2Q730+Nl+g/x7q4jQbw2j9N845TdCTjP4ts5/up8do/YVRSJ6CJ6j9PHhZqTfPaP03zjlN0JOk/DXGsi9to7j/biv1l9+TnPxTQRNjw9No/2IFzRpT22j9IUPwYc9fsP73jFB3J5ec/zojS3uAL7z9+jLlrCfnuP5wzorQ3+No/YOXQItv52j8wTKYKRiXjPySX/5B++9o/6Ugu/yH92j+t+lxtxf7aPxKlvcEXJuM/cayL22gA2z/5D+m3rwPtP588LNSa5uc/AAAAAAAA7D81XrpJDALbP/kP6bevA9s/mEwVjErq5j++wRcmUwXbP4JzRpT2Bts/9P3UeOkm4z9DrWnecYrqP0YldQKaCNs/BoGVQ4ts7T8K16NwPQrbP9ZW7C+7J+M/xSCwcmiR6z9GlPYGX5joP86I0t7gC9s/jLlrCfmg6T+4rwPnjCjjP5M6AU2EDds/V+wvuycP2z+aCBueXinjPxueXinLENs/30+Nl24S2z+jAbwFEhTbP2iz6nO1Fds/LGUZ4lgX2z/wFkhQ/BjbP7TIdr6fGts/eHqlLEMc2z89LNSa5h3bP3xhMlUwKuM/XrpJDAIr4z8B3gIJih/bP8WPMXctIds/iUFg5dAi2z9AE2HD0yvjP4GVQ4ts5+c/bxKDwMqh6T88vVKWIY7lP03zjlN0JNs/tvP91Hjp7D8Spb3BFybbP9ZW7C+7J9s/UWuad5yi6T8ibHh6pSzjP5oIG55eKds/BcWPMXct4z8p7Q2+MJnoPwtGJXUCmug/5x2n6Egu4z9eukkMAivbP3qlLEMc6+Y/Imx4eqUs2z/TvOMUHcntPzPEsS5uo+k/rK3YX3ZP6j/nHafoSC7bP6vP1VbsL9s/Y+5aQj7o5z9vgQTFjzHbPzMzMzMzM9s/sp3vp8ZL7z9d/kP67evmP/fkYaHWNNs/vJaQD3o22z+ASL99HTjbP0T67evAOds/UiegibDh7z8eFmpN847lPwisHFpkO9s/yXa+nxov4z/MXUvIBz3bP5EPejarPts/VcGopE5A2z+rz9VW7C/jPxlz1xLyQds/NKK0N/jC6j+NKO0NvjDjP2+BBMWPMeM/3SQGgZVD2z+h1jTvOEXbP1HaG3xhMuM/ZohjXdxG2z9fmEwVjEruPyo6kst/SNs/7uvAOSNK2z+yne+nxkvbP3ZPHhZqTds/OwFNhA1P2z+neccpOpLrP9BE2PD0Sus/MzMzMzMz4z//snvysFDbP8NkqmBUUts/hxbZzvdT2z9LyAc9m1XbPxB6Nqs+V9s/cT0K16Nw7T/UK2UZ4ljbP5jdk4eFWts/AG+BBMWP5T8/V1uxv+zmP1yPwvUoXNs/FYxK6gQ04z8Spb3BFybrPyBB8WPMXds/fdCzWfW57j/35GGh1jTjP9k9eVioNeM/GCZTBaOS7j9FR3L5D+nnP1r1udqK/ek/5fIf0m9f2z/tnjws1JroP6mkTkATYds/bVZ9rrZi2z8xCKwcWmTbP23n+6nx0us/vJaQD3o24z8VHcnlP6TpP+PHmLuWkOU/9bnaiv1l2z/FILByaJHlP7prCfmgZ9s/fh04Z0Rp2z9Cz2bV52rbPwaBlUOLbNs/J6CJsOHp5z/KMsSxLm7bP4/k8h/Sb9s/U5YhjnVx2z8XSFD8GHPbP9v5fmq8dNs/nu+nxks34z+fq63YX3bbP4BIv30dOOM/ZF3cRgN42z8oDwu1pnnbP6d5xyk6kuU/YqHWNO844z/swDkjSnvbP7ByaJHtfNs/RPrt68A54z8BTYQNT6/sP0p7gy9Mpu4/dCSX/5B+2z8J+aBns+rnPznWxW00gNs/93XgnBGl6T8mUwWjkjrjP/2H9NvXgds/wTkjSnuD2z+F61G4HoXbP0mdgCbChts/CKwcWmQ74z+J0t7gC5PlP8/3U+Olm+g/Dk+vlGWI2z/SAN4CCYrbP5ayDHGsi9s/WmQ730+N2z9rK/aX3ZPlP+oENBE2POM/HhZqTfOO2z+yne+nxkvrP+xRuB6F6+c/IbByaJHt5j/jx5i7lpDbP7FQa5p3nOg/MEymCkYl6T+neccpOpLbP2sr9pfdk9s/eqUsQxzr7j8DCYofY+7mP8xdS8gHPeM/L90kBoGV2z/zjlN0JJfbP662Yn/ZPeM/J6CJsOHp6z/lYaHWNO/mP7hAguLHmNs/kQ96Nqs+4z988rBQa5rbP0Ck374OnNs/EqW9wRcm6T8EVg4tsp3bP3Noke18P+M/yAc9m1Wf2z+MuWsJ+aDbP1Frmnecots/FR3J5T+k2z9NhA1Pr5TlP9nO91Pjpds/k6mCUUmd6D+dgCbChqfbP86qz9VW7Oc/x7q4jQbw5j9hMlUwKqnbPybkg57Nqts/6pWyDHGs2z9tVn2utmLtP65H4XoUrts/PE7RkVz+6T9y+Q/pt6/bPzarPldbsds/+1xtxf6y2z+/DpwzorTbP71SliGOde8/g8DKoUW22z9HcvkP6bfbP3UCmggbnug/jNtoAG+B7D9VwaikTkDjPwskKH6Muds/7lpCPujZ7j/Q1VbsL7vbPyo6kst/SO8/sAPnjCjt5z8v3SQGgZXlP5SHhVrTvNs/WDm0yHa+2z+pE9BE2PDmPzcawFsgQeM/GXPXEvJB4z/7y+7Jw0LjPxzr4jYawNs/4JwRpb3B2z8W+8vuycPqP90kBoGVQ+M/pU5AE2HD2z9pAG+BBMXbPy2yne+nxts/v30dOGdE4z/xY8xdS8jbP1dbsb/snug/odY07zhF4z+1FfvL7snbP3rHKTqSy9s/PnlYqDXN2z+OBvAWSFDqPzlFR3L5D+0/gy9MpgpG4z/iWBe30QDsPwIrhxbZzts/xty1hHzQ2z+KjuTyH9LbP09AE2HD09s/idLe4AuT6z+SXP5D+u3nPxE2PL1SluU/sp3vp8ZL7T8T8kHPZtXbP9ejcD0K19s/GQRWDi2y7T8lBoGVQ4vqP5tVn6ut2Ns/ZohjXdxG4z9fB84ZUdrbPyS5/If029s/5fIf0m9f7z9I4XoUrkfjP+hqK/aX3ds/rBxaZDvf2z9wzojS3uDbPyo6kst/SOM/NIC3QILi2z9R2ht8YTLtP4ts5/up8eY/DJOpglFJ4z90tRX7y+7nPzm0yHa+n+g/+THmriXk2z/EsS5uowHsP/OOU3Qkl+U/veMUHcnl2z+BlUOLbOfbP0cDeAskKO4/8tJNYhBY7T/u68A5I0rjP0VHcvkP6ds/0ETY8PRK4z8J+aBns+rbP86qz9VW7Ns/klz+Q/rt2z9WDi2yne/nP1YOLbKd79s/GsBbIEHx2z/ecYqO5PLbP6MjufyH9Ns/Z9Xnaiv22z8rhxbZzvfbP+84RUdy+ds/nRGlvcEX7D+z6nO1FfvbP3icoiO5/Ns/K/aX3ZOH7z88TtGRXP7bPwAAAAAAANw/xLEubqMB3D+yne+nxkvjP4hjXdxGA9w/TRWMSuoE3D8Rx7q4jQbcP9V46SYxCNw/mEwVjErq7D+U9gZfmEzjPzhnRGlv8Oc/CfmgZ7Pq6z+ZKhiV1AncP13cRgN4C9w/1edqK/aX5T8ijnVxGw3cP/7UeOkmMe4/5j+k374O3D+4QILix5jlP9nO91Pjpek/qvHSTWIQ3D+pE9BE2PDuP26jAbwFEtw/MlUwKqkT3D/3Bl+YTBXcP7snDwu1puk/QBNhw9Mr7z8aUdobfGHsP7u4jQbwFtw/dk8eFmpN4z9xPQrXo3DrP39qvHSTGNw/Qxzr4jYa3D+U9gZfmEzrP23F/rJ78uY/B84ZUdob3D+dgCbChqfpP8x/SL99Hdw/kDF3LSEf3D9U46WbxCDcPxiV1AloItw/9P3UeOkm6z/cRgN4CyTcP6H4MeauJdw/+FPjpZvE6j9YqDXNO07jP5qZmZmZmeU/ZapgVFIn3D8pXI/C9SjcP+0NvjCZKtw/sb/snjws3D92cRsN4C3cPzojSnuDL9w/Tx4Wak3z5j8ydy0hH/TmPzsBTYQNT+M//tR46SYx3D/ChqdXyjLcPyxlGeJYF+8/hjjWxW003D9L6gQ0ETbcP9qs+lxtxeo/D5wzorQ33D/TTWIQWDncP5f/kH77Otw/W7G/7J483D8gY+5aQj7cP3zysFBrmuU/5BQdyeU/3D+oxks3iUHcP2x4eqUsQ9w/MCqpE9BE3D/129eBc0bcPxrAWyBB8ec/uY0G8BZI3D8dWmQ730/jP23n+6nx0u0/fT81XrpJ3D9B8WPMXUvcP1OWIY51ces/BaOSOgFN3D/KVMGopE7cPxTQRNjw9OY//7J78rBQ4z/hC5OpglHjP44G8BZIUNw/XkvIBz2b5T9N845TdCTvP8NkqmBUUuM/9P3UeOkm6T9SuB6F61HcP0Ck374OnOU/FmpN845T3D/aG3xhMlXcP5/Nqs/VVtw/Y3/ZPXlY3D9PQBNhw9PrPycxCKwcWtw/pb3BFyZT4z/8GHPXEvLnP/7UeOkmMew/6+I2GsBb3D+HFtnO91PjPxsN4C2QoOg/r5RliGNd3D90RpT2Bl/cP2lv8IXJVOM/S8gHPZtV4z84+MJkqmDcP9ZW7C+7J+s/Q61p3nGK7j99rrZif9nvP/yp8dJNYtw/wFsgQfFj3D+62or9ZffsP4QNT6+UZdw/LSEf9GxW4z9Iv30dOGfcP/YoXI/C9eY/DXGsi9to3D8i/fZ14JzlPzGZKhiV1Os/EHo2qz5X4z8EVg4tsp3lP9Ei2/l+atw/8tJNYhBY4z+V1AloImzcP1mGONbFbdw/1CtlGeJY4z/+ZffkYaHoPx04Z0Rpb9w/4umVsgxx3D+mm8QgsHLcP9iBc0aU9uY/ak3zjlN03D8ep+hILv/pP7aEfNCzWeM/Lv8h/fZ13D/ysFBrmnfcP5SHhVrTvO8/t2J/2T153D97FK5H4XrcP+C+Dpwzoug/P8bctYR83D8DeAskKH7cP6hXyjLEse4/xyk6kst/3D+M22gAb4HcP8nlP6Tfvu4/RIts5/up7T9QjZduEoPcP5jdk4eFWuM/whcmUwWj6D8UP8bctYTcP9jw9EpZhtw/ejarPldb4z9jf9k9eVjuP5yiI7n8h9w/YVRSJ6CJ3D8lBoGVQ4vcP+m3rwPnjNw/5q4l5IOe5T+tad5xio7cPwAAAAAAAOo/cRsN4C2Q3D82zTtO0ZHcP1yPwvUoXOM/+n5qvHST3D++MJkqGJXcP4Lix5i7ltw/RpT2Bl+Y3D+kcD0K16PoPwtGJXUCmtw/z/dT46Wb3D+TqYJRSZ3cP8gHPZtVn+U/f2q8dJMY7D9XW7G/7J7cPz7o2az6XOM/qmBUUieg5T8bDeAtkKDcP7raiv1l9+Y/4L4OnDOi3D+kcD0K16PcP4y5awn5oOU/3nGKjuTy5z9/2T15WKjpP2gibHh6pdw/wcqhRbbz5z8s1JrmHafcP/CFyVTBqNw/tTf4wmSq3D956SYxCKzcPz2bVZ+rrdw/nDOitDf45j8gQfFjzF3jP36MuWsJ+eY/YOXQItv55j8BTYQNT6/cPwKaCBueXuM/xf6ye/Kw3D/l8h/Sb1/jP4qw4emVstw/TmIQWDm03D9rK/aX3ZPrPxIUP8bctdw/bxKDwMqh5T/WxW00gLfcP5p3nKIjudw/XynLEMe63D/HSzeJQWDjP6mkTkATYeM/I9v5fmq83D+L/WX35GHjP+eMKO0Nvtw/qz5XW7G/3D9v8IXJVMHcPzSitDf4wtw/4lgXt9EA6j9JLv8h/fbvP/hT46WbxNw/Qj7o2az65j+8BRIUP8bcP1FrmnecouU/B1+YTBWM6j+4rwPnjCjrP9ZW7C+7J+k//Knx0k1i7D+cxCCwcmjvPzPEsS5uo+U/gLdAguLH3D8VHcnlP6TlPzXvOEVHcus/RGlv8IXJ3D+NKO0NvjDvPwkbnl4py9w/zczMzMzM3D9MN4lBYOXuP+PHmLuWkO8/kX77OnDO3D8eFmpN847vP21Wfa62YuM/qz5XW7G/7D9hMlUwKqnpP1UwKqkT0Nw/GeJYF7fR3D/ek4eFWtPcP4bJVMGopOg/6bevA+eM6j+/DpwzorTrP6JFtvP91Nw/MnctIR/07j9m9+RhodbcPyqpE9BE2Nw/vAUSFD/G6j9Pr5RliGPjPzEIrBxaZOM/uK8D54wo6T/uWkI+6NncP2HD0ytlGew/swxxrIvb3D9wXwfOGVHqP5oIG55eKek/E2HD0ytl4z93vp8aL93cP9v5fmq8dO8/RIts5/up6T/3deCcEaXlPztwzojS3tw/JJf/kH775j//If32deDcP8PTK2UZ4tw/iIVa07zj3D9MN4lBYOXcPxDpt68D59w/2c73U+Ol5T/UmuYdp+jcP4PAyqFFtu0/zH9Iv30d7j/1udqK/WXjP9cS8kHPZuM/mEwVjErq3D9d/kP67evcP7prCfmgZ+M/IbByaJHt3D+cxCCwcmjjP+VhodY079w/qRPQRNjw3D9txf6ye/LcPzJ3LSEf9Nw/V1uxv+ye7j/2KFyPwvXcP7raiv1l99w/foy5awn53D9+HThnRGnjP2B2Tx4WauM/Qs9m1edq4z8m5IOezarpPyQofoy5a+M/Qj7o2az63D8H8BZIUPzcP8uhRbbz/dw/oyO5/If05z+PU3Qkl//cPwaBlUOLbOM/UwWjkjoB3T/o2az6XG3jPxe30QDeAt0/dk8eFmpN6z/KMsSxLm7jP9xoAG+BBN0/oBov3SQG3T8H8BZIUPzmP6yL22gAb+M/j+TyH9Jv4z9kzF1LyAfdPyh+jLlrCd0/cT0K16Nw4z/gvg6cM6LuP+wvuycPC90/aCJseHql6D9TliGOdXHjPzXvOEVHcuM/seHplbIM3T91kxgEVg7dP+lILv8h/eY/OUVHcvkP3T/LEMe6uI3qP/32deCcEd0/waikTkAT3T8XSFD8GHPjP/mgZ7Pqc+M/hlrTvOMU3T/b+X5qvHTjPz55WKg1ze0/pgpGJXUC7D+wcmiR7XztP0oMAiuHFt0/Dr4wmSoY3T+9UpYhjnXjP9JvXwfOGd0/Qxzr4jYa7D+7Jw8LtablP5YhjnVxG90/W9O84xQd3T8fhetRuB7dP+M2GsBbIN0/y6FFtvP95j+n6Egu/yHdP1K4HoXrUeo/nYAmwoan5T9rmnecoiPdPzBMpgpGJd0/xLEubqMB6j/0/dR46SbdP7ivA+eMKN0/f9k9eVio5T98YTJVMCrdP0ATYcPTK90/hXzQs1n15z8FxY8xdy3dP8l2vp8aL90/jSjtDb4w3T9R2ht8YTLdP2EyVTAqqeU/woanV8oy7j8VjErqBDTdP5+rrdhfduM/2T15WKg13T+e76fGSzfdP0SLbOf7qeU/JXUCmggb7D+BBMWPMXfjP2Kh1jTvON0/JlMFo5I63T/qBDQRNjzdP4/C9Shcj+4/rrZif9k93T+t+lxtxf7mP3Noke18P90/TYQNT6+U6z83GsBbIEHdP/vL7snDQt0/OUVHcvkP7z+/fR04Z0TdP2Rd3EYDeOM/gy9MpgpG3T9I4XoUrkfdP49TdCSX/+Y/TYQNT6+U7T8Mk6mCUUndP2fV52or9uc/cayL22gA5z+IY13cRgPsP9BE2PD0St0/JuSDns2q5T8IPZtVn6vlP5T2Bl+YTN0/WKg1zTtO3T/qlbIMcazlPx1aZDvfT90/4QuTqYJR3T+lvcEXJlPdP2lv8IXJVN0/bjSAt0CC7D9xrIvbaADvPy0hH/RsVt0/XrpJDAIr7T+62or9ZffqP/LSTWIQWN0/L90kBoGV6z/M7snDQq3lP0a28/3UeOM/SS7/If325z+2hHzQs1ndPzBMpgpGJe0/KA8LtaZ54z9hVFInoInuP65H4XoUruU/ejarPldb3T8+6Nms+lzdP1MFo5I6Aec/CmgibHh64z+QoPgx5q7lPwKaCBue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       "  const render_items = [{\"docid\":\"24e0c2a7-256e-4b74-964b-c60ce8a9b114\",\"root_ids\":[\"1003\"],\"roots\":{\"1003\":\"769052ba-1b5a-4073-a4bf-9bb401ada94e\"}}];\n",
       "  root.Bokeh.embed.embed_items_notebook(docs_json, render_items);\n",
       "\n",
       "  }\n",
       "  if (root.Bokeh !== undefined) {\n",
       "    embed_document(root);\n",
       "  } else {\n",
       "    let attempts = 0;\n",
       "    const timer = setInterval(function(root) {\n",
       "      if (root.Bokeh !== undefined) {\n",
       "        clearInterval(timer);\n",
       "        embed_document(root);\n",
       "      } else {\n",
       "        attempts++;\n",
       "        if (attempts > 100) {\n",
       "          clearInterval(timer);\n",
       "          console.log(\"Bokeh: ERROR: Unable to run BokehJS code because BokehJS library is missing\");\n",
       "        }\n",
       "      }\n",
       "    }, 10, root)\n",
       "  }\n",
       "})(window);"
      ],
      "application/vnd.bokehjs_exec.v0+json": ""
     },
     "metadata": {
      "application/vnd.bokehjs_exec.v0+json": {
       "id": "1003"
      }
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "p = iqplot.ecdf(\n",
    "    t_bt,\n",
    "    q='time of backtrack (s)',\n",
    "    x_axis_type='log',\n",
    ")\n",
    "\n",
    "bokeh.io.show(p)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "We see that half of all backtracks end immediately, with the first step being rightward. It is impossible to leave a backtrack in an even number of steps, so there are no two-step escapes. Then, we get a lot of 3-step escapes, and so on. But this goes more and more slowly. Yes, 80% of backtracks only last 10 seconds, but there are still many extraordinarily long backtracks. These are the fundamental predictions of our hypothesis. Of course $10^7$ seconds is 115 days, which is obviously much longer than a backtrack could physically last.\n",
    "\n",
    "**d, e)** Now, let's plot the CCDF along with a theoretical power law line."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/html": [
       "\n",
       "\n",
       "\n",
       "\n",
       "\n",
       "\n",
       "  <div class=\"bk-root\" id=\"8f9ba78f-52da-4acd-baa0-ccc127bd35e9\" data-root-id=\"1107\"></div>\n"
      ]
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      "application/javascript": [
       "(function(root) {\n",
       "  function embed_document(root) {\n",
       "    \n",
       "  const docs_json = 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of backtrack (s)\"},\"y\":{\"field\":\"__ECCDF\"}},\"id\":\"1142\",\"type\":\"Circle\"}],\"root_ids\":[\"1107\"]},\"title\":\"Bokeh Application\",\"version\":\"2.4.2\"}};\n",
       "  const render_items = [{\"docid\":\"8894a190-1bc6-48d4-acf1-f7c75c18b231\",\"root_ids\":[\"1107\"],\"roots\":{\"1107\":\"8f9ba78f-52da-4acd-baa0-ccc127bd35e9\"}}];\n",
       "  root.Bokeh.embed.embed_items_notebook(docs_json, render_items);\n",
       "\n",
       "  }\n",
       "  if (root.Bokeh !== undefined) {\n",
       "    embed_document(root);\n",
       "  } else {\n",
       "    let attempts = 0;\n",
       "    const timer = setInterval(function(root) {\n",
       "      if (root.Bokeh !== undefined) {\n",
       "        clearInterval(timer);\n",
       "        embed_document(root);\n",
       "      } else {\n",
       "        attempts++;\n",
       "        if (attempts > 100) {\n",
       "          clearInterval(timer);\n",
       "          console.log(\"Bokeh: ERROR: Unable to run BokehJS code because BokehJS library is missing\");\n",
       "        }\n",
       "      }\n",
       "    }, 10, root)\n",
       "  }\n",
       "})(window);"
      ],
      "application/vnd.bokehjs_exec.v0+json": ""
     },
     "metadata": {
      "application/vnd.bokehjs_exec.v0+json": {
       "id": "1107"
      }
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "p = iqplot.ecdf(\n",
    "    t_bt,\n",
    "    q='time of backtrack (s)',\n",
    "    complementary=True,\n",
    "    x_axis_type='log',    \n",
    "    y_axis_type='log'\n",
    ")\n",
    "\n",
    "# Line with slope -1/2 on a log-log plot\n",
    "p.line(\n",
    "    x=[1, 1e8],\n",
    "    y=[1, 1e-4],\n",
    "    color='orange',\n",
    "    line_width=2\n",
    ")\n",
    "\n",
    "bokeh.io.show(p)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Indeed, we see that the slope we got from Monte Carlo simulation matches what the theory predicts."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Computing environment"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "metadata": {
    "tags": [
     "hide-input"
    ]
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Python implementation: CPython\n",
      "Python version       : 3.9.12\n",
      "IPython version      : 8.3.0\n",
      "\n",
      "numpy     : 1.21.5\n",
      "scipy     : 1.7.3\n",
      "numba     : 0.55.1\n",
      "tqdm      : 4.64.0\n",
      "bokeh     : 2.4.2\n",
      "iqplot    : 0.2.4\n",
      "jupyterlab: 3.3.2\n",
      "\n"
     ]
    }
   ],
   "source": [
    "%load_ext watermark\n",
    "%watermark -v -p numpy,scipy,numba,tqdm,bokeh,iqplot,jupyterlab"
   ]
  }
 ],
 "metadata": {
  "anaconda-cloud": {},
  "kernelspec": {
   "display_name": "Python 3 (ipykernel)",
   "language": "python",
   "name": "python3"
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  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 3
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   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython3",
   "version": "3.9.12"
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 "nbformat": 4,
 "nbformat_minor": 4
}