{
 "cells": [
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Exercise 7.5: 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=\"1001\">Loading BokehJS ...</span>\n",
       "    </div>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "application/javascript": [
       "\n",
       "(function(root) {\n",
       "  function now() {\n",
       "    return new Date();\n",
       "  }\n",
       "\n",
       "  var 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",
       "  var JS_MIME_TYPE = 'application/javascript';\n",
       "  var HTML_MIME_TYPE = 'text/html';\n",
       "  var EXEC_MIME_TYPE = 'application/vnd.bokehjs_exec.v0+json';\n",
       "  var CLASS_NAME = 'output_bokeh rendered_html';\n",
       "\n",
       "  /**\n",
       "   * Render data to the DOM node\n",
       "   */\n",
       "  function render(props, node) {\n",
       "    var 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",
       "    var cell = handle.cell;\n",
       "\n",
       "    var id = cell.output_area._bokeh_element_id;\n",
       "    var 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",
       "      var cmd = \"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, {\n",
       "        iopub: {\n",
       "          output: function(msg) {\n",
       "            var 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",
       "      var cmd = \"import bokeh.io.notebook as ion; ion.destroy_server('\" + server_id + \"')\";\n",
       "      cell.notebook.kernel.execute(cmd);\n",
       "    }\n",
       "  }\n",
       "\n",
       "  /**\n",
       "   * Handle when a new output is added\n",
       "   */\n",
       "  function handleAddOutput(event, handle) {\n",
       "    var output_area = handle.output_area;\n",
       "    var output = handle.output;\n",
       "\n",
       "    // limit handleAddOutput to display_data with EXEC_MIME_TYPE content only\n",
       "    if ((output.output_type != \"display_data\") || (!output.data.hasOwnProperty(EXEC_MIME_TYPE))) {\n",
       "      return\n",
       "    }\n",
       "\n",
       "    var 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",
       "      var bk_div = document.createElement(\"div\");\n",
       "      bk_div.innerHTML = output.data[HTML_MIME_TYPE];\n",
       "      var script_attrs = bk_div.children[0].attributes;\n",
       "      for (var 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",
       "      var 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",
       "      var 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",
       "    var events = require('base/js/events');\n",
       "    var 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",
       "  var 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",
       "    var el = document.getElementById(\"1001\");\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() {\n",
       "      console.error(\"failed to load \" + url);\n",
       "    }\n",
       "\n",
       "    for (var i = 0; i < css_urls.length; i++) {\n",
       "      var url = css_urls[i];\n",
       "      const element = document.createElement(\"link\");\n",
       "      element.onload = on_load;\n",
       "      element.onerror = on_error;\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",
       "    const hashes = {\"https://cdn.bokeh.org/bokeh/release/bokeh-2.0.2.min.js\": \"ufR9RFnRs6lniiaFvtJziE0YeidtAgBRH6ux2oUItHw5WTvE1zuk9uzhUU/FJXDp\", \"https://cdn.bokeh.org/bokeh/release/bokeh-widgets-2.0.2.min.js\": \"8QM/PGWBT+IssZuRcDcjzwIh1mkOmJSoNMmyYDZbCfXJg3Ap1lEvdVgFuSAwhb/J\", \"https://cdn.bokeh.org/bokeh/release/bokeh-tables-2.0.2.min.js\": \"Jm8cH3Rg0P6UeZhVY5cLy1WzKajUT9KImCY+76hEqrcJt59/d8GPvFHjCkYgnSIn\", \"https://cdn.bokeh.org/bokeh/release/bokeh-gl-2.0.2.min.js\": \"Ozhzj+SI7ywm74aOI/UajcWz+C0NjsPunEVyVIrxzYkB+jA+2tUw8x5xJCbVtK5I\"};\n",
       "\n",
       "    for (var i = 0; i < js_urls.length; i++) {\n",
       "      var url = js_urls[i];\n",
       "      var element = document.createElement('script');\n",
       "      element.onload = on_load;\n",
       "      element.onerror = on_error;\n",
       "      element.async = false;\n",
       "      element.src = url;\n",
       "      if (url in hashes) {\n",
       "        element.crossOrigin = \"anonymous\";\n",
       "        element.integrity = \"sha384-\" + hashes[url];\n",
       "      }\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",
       "  var js_urls = [\"https://cdn.bokeh.org/bokeh/release/bokeh-2.0.2.min.js\", \"https://cdn.bokeh.org/bokeh/release/bokeh-widgets-2.0.2.min.js\", \"https://cdn.bokeh.org/bokeh/release/bokeh-tables-2.0.2.min.js\", \"https://cdn.bokeh.org/bokeh/release/bokeh-gl-2.0.2.min.js\"];\n",
       "  var css_urls = [];\n",
       "  \n",
       "\n",
       "  var 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 (var 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",
       "      var cell = $(document.getElementById(\"1001\")).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  var 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  var 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    var el = document.getElementById(\"1001\");\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() {\n      console.error(\"failed to load \" + url);\n    }\n\n    for (var i = 0; i < css_urls.length; i++) {\n      var url = css_urls[i];\n      const element = document.createElement(\"link\");\n      element.onload = on_load;\n      element.onerror = on_error;\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    const hashes = {\"https://cdn.bokeh.org/bokeh/release/bokeh-2.0.2.min.js\": \"ufR9RFnRs6lniiaFvtJziE0YeidtAgBRH6ux2oUItHw5WTvE1zuk9uzhUU/FJXDp\", \"https://cdn.bokeh.org/bokeh/release/bokeh-widgets-2.0.2.min.js\": \"8QM/PGWBT+IssZuRcDcjzwIh1mkOmJSoNMmyYDZbCfXJg3Ap1lEvdVgFuSAwhb/J\", \"https://cdn.bokeh.org/bokeh/release/bokeh-tables-2.0.2.min.js\": \"Jm8cH3Rg0P6UeZhVY5cLy1WzKajUT9KImCY+76hEqrcJt59/d8GPvFHjCkYgnSIn\", \"https://cdn.bokeh.org/bokeh/release/bokeh-gl-2.0.2.min.js\": \"Ozhzj+SI7ywm74aOI/UajcWz+C0NjsPunEVyVIrxzYkB+jA+2tUw8x5xJCbVtK5I\"};\n\n    for (var i = 0; i < js_urls.length; i++) {\n      var url = js_urls[i];\n      var element = document.createElement('script');\n      element.onload = on_load;\n      element.onerror = on_error;\n      element.async = false;\n      element.src = url;\n      if (url in hashes) {\n        element.crossOrigin = \"anonymous\";\n        element.integrity = \"sha384-\" + hashes[url];\n      }\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  var js_urls = [\"https://cdn.bokeh.org/bokeh/release/bokeh-2.0.2.min.js\", \"https://cdn.bokeh.org/bokeh/release/bokeh-widgets-2.0.2.min.js\", \"https://cdn.bokeh.org/bokeh/release/bokeh-tables-2.0.2.min.js\", \"https://cdn.bokeh.org/bokeh/release/bokeh-gl-2.0.2.min.js\"];\n  var css_urls = [];\n  \n\n  var 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 (var 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      var cell = $(document.getElementById(\"1001\")).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 pandas as pd\n",
    "import numba\n",
    "\n",
    "import bokeh_catplot\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, which you can install (if it is not already installed) on the command line using\n",
    "\n",
    "    conda install tqdm\n",
    "    \n",
    "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 [00:43<00:00, 229.38it/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": [
    {
     "data": {
      "text/html": [
       "\n",
       "\n",
       "\n",
       "\n",
       "\n",
       "\n",
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     "output_type": "display_data"
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    {
     "data": {
      "application/javascript": [
       "(function(root) {\n",
       "  function embed_document(root) {\n",
       "    \n",
       "  var docs_json = {\"c860cd09-06ac-4e88-a1b0-1e7929fe85b2\":{\"roots\":{\"references\":[{\"attributes\":{\"below\":[{\"id\":\"1011\"}],\"center\":[{\"id\":\"1014\"},{\"id\":\"1018\"},{\"id\":\"1046\"}],\"left\":[{\"id\":\"1015\"}],\"plot_height\":300,\"plot_width\":400,\"renderers\":[{\"id\":\"1037\"}],\"title\":{\"id\":\"1040\"},\"toolbar\":{\"id\":\"1026\"},\"x_range\":{\"id\":\"1003\"},\"x_scale\":{\"id\":\"1007\"},\"y_range\":{\"id\":\"1005\"},\"y_scale\":{\"id\":\"1009\"}},\"id\":\"1002\",\"subtype\":\"Figure\",\"type\":\"Plot\"},{\"attributes\":{},\"id\":\"1020\",\"type\":\"WheelZoomTool\"},{\"attributes\":{\"axis_label\":\"time of backtrack 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UP/Mf0m9fB+Q/OPjCZKpglD+1FfvL7snvP3sUrkfhepQ/MzMzMzMz6z++MJkqGJWUPwFNhA1Pr5Q/Vg4tsp3v3z8awFsgQfHfP0Rpb/CFyZQ/3nGKjuTy3z+IhVrTvOOUP8uhRbbz/ZQ/Dr4wmSoYlT9R2ht8YTKVP2sr9pfdk+0/CKwcWmQ77T+U9gZfmEyVP9V46SYxCOQ/1xLyQc9mlT/5D+m3rwPvPxSuR+F6FOY/Gy/dJAaBlT9eS8gHPZuVP6MjufyH9N8/t9EA3gIJ5D/3Bl+YTBXmP6Fns+pztZU/5IOezarPlT/GbTSAt0DoPyegibDh6ZU/arx0kxgElj/XEvJBz2bnP4NRSZ2AJuw/rthfdk8elj+oxks3iUHoP/H0SlmGOJY/2V92Tx4W5j80ETY8vVKWP3ctIR/0bJY/pSxDHOvi7D+7uI0G8BbmP9obfGEyVe4/ukkMAiuHlj/+ZffkYaGWP0I+6Nms+uo/1xLyQc9m7T+ZKhiV1AnkP0GC4seYu5Y/Z9Xnaiv23z+TOgFNhA3tP4SezarP1ZY/K4cW2c733z97gy9MpgrkP7prCfmgZ+c/x7q4jQbwlj/HuriNBvDuP7U3+MJkqu4/nMQgsHJo5z8K16NwPQqXP13cRgN4C+Q/TfOOU3Qklz+RD3o2qz6XPz81XrpJDOQ/l/+Qfvs66j+dEaW9wRfmP09AE2HD0+8//7J78rBQ7T+KH2PuWkLoP9QrZRniWJc/fh04Z0Rp5z8ijnVxGw3kPxdIUPwYc5c/c2iR7Xw/7z9aZDvfT42XP52AJsKGp5c/jnVxGw3g6T/gnBGlvcGXPxb7y+7Jw+4/JLn8h/Tblz/vOEVHcvnfP2fV52or9pc/s+pztRX73z+q8dJNYhCYP3icoiO5/N8/7Q2+MJkqmD8wKqkT0ESYP3RGlPYGX5g/PE7RkVz+3z+3Yn/ZPXmYPyGwcmiR7ew/+n5qvHSTmD8E54wo7Q3kPz2bVZ+rrZg/gLdAguLHmD/D0ytlGeKYPwfwFkhQ/Jg/eekmMQis7D+si9toAG/pP0oMAiuHFpk/AAAAAAAA4D9SSZ2AJsLuP39qvHSTGOY/jSjtDb4wmT+Uh4Va07zvP9BE2PD0Spk/YOXQItv57D8TYcPTK2WZP1Z9rrZif5k/4lgXt9EA4D+WsgxxrIvrP5qZmZmZmZk/JJf/kH776j/EsS5uowHgP921hHzQs5k/INJvXwfOmT9j7lpCPuiZP6YKRiV1Apo/6SYxCKwcmj8DeAskKH7qPy1DHOviNpo/bHh6pSxD6D+mCkYldQLgP3BfB84ZUZo/iGNd3EYD4D9cj8L1KFzrP7N78rBQa5o/EqW9wRcm7z/2l92Th4WaPzm0yHa+n5o/YHZPHhZq5z/l0CLb+X7qP5tVn6ut2O0/fdCzWfW5mj/mP6Tfvg7kP8cpOpLLf+o/wOyePCzUmj9qvHSTGATgPwMJih9j7po/RiV1ApoImz9NFYxK6gTgP4lBYOXQIps/YcPTK2UZ5j/MXUvIBz2bPxB6Nqs+V5s/U5YhjnVxmz9O0ZFc/kPoP5ayDHGsi5s/3+ALk6mC7z8vbqMBvAXgP9nO91PjpZs/HOviNhrAmz/ImLuWkA/kP18HzhlR2ps/Ece6uI0G4D+jI7n8h/SbP+Y/pN++Dpw/KVyPwvUonD/zH9JvXwfgPzAqqRPQROg/bHh6pSxDnD/VeOkmMQjgP0LPZtXnauc/r5RliGNdnD+30QDeAgngP5kqGJXUCeA/8rBQa5p3nD8tsp3vp8bvP3uDL0ymCuA/XdxGA3gL4D82zTtO0ZGcP3npJjEIrJw/vAUSFD/GnD//If32deCcPxKDwMqhReg/Qj7o2az6nD+qglFJnYDqP4Za07zjFJ0/yXa+nxovnT8Mk6mCUUmdP0+vlGWIY50/kst/SL99nT+q8dJNYhDkP7bz/dR46eg/1edqK/aXnT9DHOviNhrmP5hMFYxK6ug/UkmdgCbC6j8ZBFYOLbKdPzSitDf4wuo/XCBB8WPMnT+fPCzUmuadP+JYF7fRAJ4/JXUCmggbnj9oke18PzWePyqpE9BE2O4/rK3YX3ZPnj/vycNCrWmePzLmriXkg54/dQKaCBuenj8/NV66SQzgPyQofoy5a+c/uB6F61G4nj/7OnDOiNKeP/RsVn2utuw/Io51cRsN4D8/V1uxv+yeP4xK6gQ0EeQ/JXUCmggb5j9uowG8BRLkPwaBlUOLbOc/gnNGlPYGnz8E54wo7Q3gP1r1udqK/e8/UPwYc9cS5D/FjzF3LSGfP4/k8h/Sb+k/B84ZUdob5j/pJjEIrBzmP+Y/pN++DuA/MlUwKqkT5D8IrBxaZDufP0vIBz2bVZ8/FK5H4XoU5D+P5PIf0m+fP9IA3gIJip8/FvvL7snD6j8VHcnlP6SfP+jZrPpcbec/9wZfmEwV5D/Mf0i/fR3mP8iYu5aQD+A/qvHSTWIQ4D9YObTIdr6fP4xK6gQ0EeA/bqMBvAUS4D+u2F92Tx7mP5tVn6ut2J8/16NwPQrX7z/ecYqO5PKfPxHHuriNBqA/MlUwKqkToD+2hHzQs1nvP3E9CtejcOk/VOOlm8QgoD92cRsN4C2gP5SHhVrTvO0/zTtO0ZFc7j9os+pztRXtP1D8GHPXEuA/eAskKH6M6z+X/5B++zqgP9lfdk8eFuQ/WmQ730+N6z8yVTAqqRPgPxSuR+F6FOA/u7iNBvAW5D+5jQbwFkigP9obfGEyVaA//Knx0k1ioD/KMsSxLm7nPx04Z0Rpb6A/P8bctYR8oD+QMXctIR/mP799HThnRO0/YVRSJ6CJoD+GyVTBqKTuP3bgnBGlve0/guLHmLuWoD8g0m9fB87tP6RwPQrXo6A/BoGVQ4ts7T+GONbFbTTuP8X+snvysKA/W0I+6Nms7D/njCjtDb6gPwkbnl4py6A/KqkT0ETYoD9wzojS3uDpP0w3iUFg5aA/coqO5PIf5j9txf6ye/KgP49TdCSX/6A/seHplbIMoT/Sb18HzhmhP50Rpb3BF+Q/Ad4CCYof7z/0/dR46SahPwfwFkhQ/Oo/FYxK6gQ0oT+qglFJnYDsPzcawFsgQaE/WKg1zTtOoT9Wn6ut2F/sP3o2qz5XW6E/nMQgsHJooT/3Bl+YTBXgP71SliGOdaE/3+ALk6mCoT8Ab4EExY+hP39qvHSTGOQ/2V92Tx4W4D8i/fZ14JyhP0SLbOf7qaE/ZRniWBe3oT+Hp1fKMsShP6g1zTtO0aE/eVioNc076j8DCYofY+7sP7u4jQbwFuA/eqUsQxzr6D/Kw0Ktad6hPy/dJAaBle8/nRGlvcEX4D/129eBc0boP+xRuB6F66E/DeAtkKD4oT8vbqMBvAWiP1TjpZvEIOY/YcPTK2UZ5D9/arx0kxjgP4zbaABvgeo/YcPTK2UZ4D9d/kP67evoP9c07zhFR+g/UPwYc9cSoj8W+8vuycPsP3KKjuTyH6I/kxgEVg4toj9DHOviNhrkP7WmeccpOqI/PujZrPpc6z/pSC7/If3qP0dy+Q/pt+s/BaOSOgFN7D/XNO84RUeiP0Mc6+I2GuA/+MJkqmBUoj9YObTIdr7tPxpR2ht8YaI/JXUCmggb4D8730+Nl26iP11txf6ye6I/JXUCmggb5D+si9toAG/nP3/7OnDOiKI/oImw4emVoj8HzhlR2hvgP8IXJlMFo6I/6SYxCKwc4D/jpZvEILCiP8x/SL99HeA/IEHxY8xd6z+u2F92Tx7gPwU0ETY8vaI/J8KGp1fKoj+QMXctIR/gPwfOGVHaG+Q/coqO5PIf4D9rmnecoiPtPzY8vVKWIeY/y6FFtvP96j8730+Nl27sP1TjpZvEIOA/W7G/7J486j82PL1SliHgP0hQ/Bhz16I/GJXUCWgi4D9q3nGKjuSiP4ts5/up8aI/rfpcbcX+oj/OiNLe4AujP/AWSFD8GKM/EqW9wRcmoz9TliGOdXHpPzMzMzMzM6M/j+TyH9Jv5z9VwaikTkCjP3ZPHhZqTaM/mN2Th4Vaoz8OLbKd76fuP7prCfmgZ6M/uY0G8BZI6D/b+X5qvHSjP2iR7Xw/Ne4//Yf029eBoz8eFmpN846jP3E9CtejcOc/qDXNO07R7T9ApN++DpyjP2EyVTAqqaM/g8DKoUW2oz8Cmggbnl7rP6VOQBNhw6M/fa62Yn/Z6z9b07zjFB3tP8bctYR80KM/6Gor9pfdoz85RUdy+Q/vPwn5oGez6qM/K4cW2c73oz9NFYxK6gSkP7WmeccpOuw/6Gor9pfd7T9uowG8BRKkP+kmMQisHOQ/kDF3LSEfpD+xv+yePCykPxiV1AloIuY/zH9Iv30d5D+u2F92Tx7kP9NNYhBYOaQ/PL1SliGO6z/129eBc0akPxZqTfOOU6Q/kDF3LSEf5D/67evAOSPgPzj4wmSqYKQ/3EYDeAsk4D++nxov3STgP6H4MeauJeA/+u3rwDkj5j+DUUmdgCbgP1mGONbFbaQ/exSuR+F6pD9lqmBUUifgP/hT46WbxOo/7zhFR3L57z/cRgN4CyTmP0cDeAskKOA/nKIjufyHpD9yio7k8h/kPxueXinLEO8/rfpcbcX+6j++MJkqGJWkP+C+DpwzoqQ/VOOlm8Qg5D8BTYQNT6+kP240gLdAguo/I9v5fmq8pD9EaW/whcmkP2b35GGh1qQ/U5YhjnVx5z+PwvUoXI/sPylcj8L1KOA/P1dbsb/s6D+IhVrTvOOkP6kT0ETY8KQ/Njy9UpYh5D8LtaZ5xyngP76fGi/dJOY/y6FFtvP9pD8YldQJaCLkPzXvOEVHcuk/7C+7Jw8LpT8OvjCZKhilPzBMpgpGJaU/+u3rwDkj5D9R2ht8YTKlP3Noke18P6U/lPYGX5hMpT+2hHzQs1mlP9cS8kHPZqU/+aBns+pzpT+h+DHmriXmPxsv3SQGgaU/PL1SliGOpT/dtYR80LPvP9xGA3gLJOQ/XkvIBz2bpT9/2T15WKilP6Fns+pztaU/mG4Sg8DK7z817zhFR3LnP8P1KFyPwqU/5IOezarPpT/tDb4wmSrgPwYSFD/G3KU/J6CJsOHppT+DUUmdgCbmP8iYu5aQD+w/SS7/If32pT9qvHSTGASmP2WqYFRSJ+Y/jErqBDQRpj/PZtXnaivgP5vmHafoSOg/sb/snjws4D+u2F92Tx6mPxdIUPwYc+c/z2bV52orpj+TGARWDi3gP3ZxGw3gLeA/8fRKWYY4pj8Sg8DKoUWmPzQRNjy9UqY/1sVtNIC37D9Wn6ut2F+mPyGwcmiR7eg/dy0hH/Rspj+Zu5aQD3qmP30/NV66Seg/WMoyxLEu4D+6SQwCK4emP9zXgXNGlKY/X5hMFYxK6D/+ZffkYaGmPx4Wak3zju0/H/RsVn2upj/5oGez6nPnP0GC4seYu6Y/QfFjzF1L6D9iEFg5tMimP4SezarP1aY/UiegibDh6T+lLEMc6+KmP8e6uI0G8KY/jLlrCfmg7z86I0p7gy/gP76fGi/dJOQ/6Ugu/yH9pj8K16NwPQqnPyxlGeJYF6c/ofgx5q4l5D+DUUmdgCbkP03zjlN0JKc/b4EExY8xpz9lqmBUUifkP0hQ/Bhz1+w/j1N0JJf/6j+RD3o2qz6nPyNKe4MvTOg/sp3vp8ZLpz/UK2UZ4linP/W52or9Zac/RwN4CyQo5D89LNSa5h3tPxdIUPwYc6c/taZ5xyk67j851sVtNICnP1pkO99Pjac/HHxhMlUw4D8DCYofY+7oP2iz6nO1Fe8/dZMYBFYO7T/lYaHWNO/oP77BFyZTBe0/OPjCZKpg7D9lqmBUUifsPwWjkjoBTeg/fPKwUGuapz/b+X5qvHTnPxWMSuoENOs/w2SqYFRS7z+dgCbChqenP78OnDOitKc/cRsN4C2Q7j/+1HjpJjHgP3Gsi9toAOs/4C2QoPgx4D/gnBGlvcGnPwIrhxbZzqc/JLn8h/Tbpz9FR3L5D+mnP2fV52or9qc/iGNd3EYDqD+q8dJNYhCoP8x/SL99Hag/7Q2+MJkqqD8PnDOitDeoPzAqqRPQRKg/woanV8oy4D9SuB6F61GoP+jZrPpcbe0/pN++Dpwz4D+GONbFbTTgP2iR7Xw/NeA/dEaU9gZfqD+V1AloImyoP7dif9k9eag/2PD0SlmGqD9L6gQ0ETbgP/p+arx0k6g/Gw3gLZCgqD9X7C+7Jw/vPz2bVZ+rrag/KVyPwvUo5D9fKcsQx7qoP0oMAiuHFu8/gLdAguLHqD+iRbbz/dSoPy1DHOviNuA/g1FJnYAm7j8LtaZ5xynkPz0K16NwPeo/IGPuWkI+6j/D0ytlGeKoPw+cM6K0N+A/vVKWIY515z/lYaHWNO+oP+VhodY07+w/GlHaG3xh7j/tDb4wmSrkPwfwFkhQ/Kg/RwN4CyQo5j8ofoy5awmpP8sQx7q4je4/SgwCK4cWqT9rmnecoiOpP40o7Q2+MKk/rrZif9k9qT/n+6nx0k3oP+XyH9JvX+s/4QuTqYJR7T/QRNjw9EqpP8pUwaikTug/8tJNYhBYqT+itDf4wmTuP5+rrdhfduc/E2HD0ytlqT817zhFR3KpP1Z9rrZif6k/eAskKH6MqT+fPCzUmubtP5qZmZmZmak/8fRKWYY44D/ek4eFWtPuP4EExY8xd+c/uycPC7WmqT/dtYR80LOpP/5D+u3rwKk/001iEFg54D8g0m9fB86pP0Jg5dAi26k/Y+5aQj7oqT+1pnnHKTrgP6yt2F92T+g/hXzQs1n1qT+mCkYldQKqP5f/kH77OuA/eVioNc074D/PZtXnaivkP8iYu5aQD6o/6SYxCKwcqj9rK/aX3ZPvP1uxv+yePOA/C7Wmeccpqj8tQxzr4jaqP07RkVz+Q6o/cF8HzhlRqj+R7Xw/NV6qPyPb+X5qvO4/s3vysFBrqj/VCWgibHiqP/aX3ZOHhao/GCZTBaOSqj93LSEf9GzuP0cDeAskKOw/ObTIdr6fqj9bQj7o2ayqP84ZUdobfO0/fdCzWfW5qj8XSFD8GHPpP55eKcsQx6o/KVyPwvUo5j/A7J48LNSqP0+vlGWIY+8/4XoUrkfhqj+xv+yePCzkPwMJih9j7qo/KqkT0ETY7D8kl/+QfvuqPz0K16NwPeA/+aBns+pz6T/arPpcbcXqP0YldQKaCKs/aLPqc7UVqz8gY+5aQj7gPwu1pnnHKeY/7Q2+MJkq5j+JQWDl0CKrP6vP1VbsL6s/ArwFEhQ/4D/MXUvIBz2rP+7rwDkjSqs/EHo2qz5Xqz8xCKwcWmSrP+QUHcnlP+A/xm00gLdA4D/2l92Th4XuP1OWIY51cas/3nGKjuTy6z90JJf/kH6rP2Rd3EYDeOc/lrIMcayLqz+4QILix5irP9nO91Pjpas/RUdy+Q/p7T/7XG3F/rKrP6jGSzeJQeA/HOviNhrAqz8+eVioNc2rP18HzhlR2qs/jgbwFkhQ6D+BlUOLbOerP89m1edqK+Y/kxgEVg4t5D+KH2PuWkLgP6MjufyH9Ks/bHh6pSxD4D/EsS5uowGsPyEf9GxWfe4/Ece6uI0G7j9wXwfOGVHoP+Y/pN++Dqw/UrgehetR6D/VCWgibHjuPwfOGVHaG6w/TtGRXP5D4D8wKqkT0ETgPylcj8L1KKw/S+oENBE2rD9GtvP91HjnP2x4eqUsQ6w/dnEbDeAt5D9YyjLEsS7kP44G8BZIUKw/EoPAyqFF4D+vlGWIY12sPzQRNjy9Uug/+8vuycNC7z/RItv5fmqsPzojSnuDL+Q/9dvXgXNG4D/ysFBrmnesP9c07zhFR+A/FD/G3LWErD82zTtO0ZGsP1dbsb/snqw/NIC3QILi7T956SYxCKysP5p3nKIjuaw/HHxhMlUw5D+8BRIUP8asP96Th4Va06w/uY0G8BZI4D+b5h2n6EjgP/8h/fZ14Kw/IbByaJHtrD9CPujZrPqsP2TMXUvIB60/hlrTvOMUrT+n6Egu/yGtP8l2vp8aL60/6gQ0ETY8rT+8BRIUP8bqPwyTqYJRSa0/LSEf9GxWrT9Pr5RliGOtP1MFo5I6Aes/5x2n6Egu7T9xPQrXo3CtP7G/7J48LOY/kxgEVg4t5j92cRsN4C3mP8dLN4lBYOs/kst/SL99rT9YyjLEsS7mP7RZ9bnaiq0/fT81XrpJ4D86I0p7gy/mP/7UeOkmMeQ/1edqK/aXrT/3deCcEaWtP3EbDeAtkOw/GQRWDi2yrT86kst/SL+tP5qZmZmZme8/XCBB8WPMrT/b+X5qvHTpP5ZDi2zn++8/KVyPwvUo7j99rrZif9mtP588LNSa5q0/4C2QoPgx5D8cfGEyVTDmPynLEMe6uOs/wcqhRbbzrT+ppE5AE2HrP+JYF7fRAK4/BOeMKO0Nrj8ldQKaCBuuP0cDeAskKK4/aJHtfD81rj9fmEwVjErgP4ofY+5aQq4/vVKWIY516T9B8WPMXUvgP/fkYaHWNOs/I0p7gy9M4D8oDwu1pnnnP6yt2F92T64/zTtO0ZFcrj/vycNCrWmuPxBYObTIdq4/eqUsQxzr7j8y5q4l5IOuP8e6uI0G8Og/VHQkl/+Qrj91ApoIG56uP5eQD3o2q64/BaOSOgFN4D/4U+Olm8TsP7gehetRuK4/2qz6XG3Frj/7OnDOiNKuP+f7qfHSTeA/CmgibHh65z8dyeU/pN+uPxZqTfOOU+g/ylTBqKRO4D+srdhfdk/gPz9XW7G/7K4/YOXQItv5rj+fq63YX3bpP44G8BZIUOA//tR46SYx5j+Cc0aU9gavP6MBvAUSFK8/qRPQRNjw7j9wXwfOGVHgP8WPMXctIa8/5x2n6Egurz8IrBxaZDuvP+AtkKD4MeY/KjqSy39Irz9LyAc9m1WvP21Wfa62Yq8/j+TyH9Jvrz+wcmiR7XyvPzSAt0CC4uk/woanV8oy5j9SuB6F61HgP9IA3gIJiq8/845TdCSXrz/ChqdXyjLkP55eKcsQx+o/pN++Dpwz5D9UdCSX/5DsP4Y41sVtNOQ/FR3J5T+krz+L/WX35GHrPzarPldbsa8/WDm0yHa+rz+k374OnDPmP6kT0ETY8Og/NBE2PL1S4D/swDkjSnvnP/jCZKpgVOg/FmpN845T4D8CvAUSFD/qP3rHKTqSy68/m1Wfq63Yrz+GONbFbTTmP73jFB3J5a8/mEwVjErq7j/ecYqO5PKvP2iR7Xw/NeQ/AAAAAAAAsD8Rx7q4jQawPzVeukkMAus/UI2XbhKD6j8ijnVxGw2wPzJVMCqpE7A/gLdAguLH6j9DHOviNhqwP0vqBDQRNuQ/VOOlm8QgsD9lqmBUUiewP/jCZKpgVOA/dnEbDeAtsD+GONbFbTSwP5f/kH77OrA/qMZLN4lBsD/aG3xhMlXgP7mNBvAWSLA/ylTBqKROsD/aG3xhMlWwP+viNhrAW7A//Knx0k1isD9oke18PzXmPy1DHOviNuQ/DXGsi9tosD8dOGdEaW+wPy7/If32dbA/P8bctYR8sD9QjZduEoOwP7x0kxgEVuA/HhZqTfOO6z9hVFInoImwPxfZzvdT4+k/AG+BBMWP7T9xGw3gLZCwP4Lix5i7lrA/vHSTGARW7j+TqYJRSZ2wP6RwPQrXo7A/S+oENBE25j+1N/jCZKqwP8X+snvysLA/1sVtNIC3sD/njCjtDb6wP/hT46WbxLA/2ht8YTJV6D8JG55eKcuwP5/Nqs/VVuA/GeJYF7fRsD8qqRPQRNiwP4EmwoanV+A/5BQdyeU/6j87cM6I0t6wP0w3iUFg5bA/Xf5D+u3rsD8PnDOitDfkPy1DHOviNuY/Y3/ZPXlY4D/ZPXlYqDXrP23F/rJ78rA/utqK/WX37j+8dJMYBFboP36MuWsJ+bA/wOyePCzU7j+PU3Qkl/+wP6AaL90kBrE/Rdjw9EpZ4D/x9EpZhjjkP7Hh6ZWyDLE/waikTkATsT/Sb18HzhmxP+M2GsBbILE/gQTFjzF36T/0/dR46SaxPwXFjzF3LbE/V+wvuycP7T8VjErqBDSxPyZTBaOSOrE/ZF3cRgN46T/5MeauJeTpPw+cM6K0N+Y/NxrAWyBBsT8nMQisHFrgP8ZtNIC3QOo/CYofY+5a4D9I4XoUrkexP+viNhrAW+A/zhlR2ht85z9YqDXNO06xP2lv8IXJVLE/zTtO0ZFc4D96Nqs+V1uxP7FQa5p3nO4/n82qz9VW6D+L/WX35GGxP6+UZYhjXeA/nMQgsHJosT+si9toAG+xP71SliGOdbE/zhlR2ht8sT/f4AuTqYKxP/Cnxks3ibE/AG+BBMWPsT+BJsKGp1foPxE2PL1SlrE/ke18PzVe4D8i/fZ14JyxPzPEsS5uo7E/RIts5/upsT+DwMqhRbbvP4ts5/up8eg/VFInoImwsT90RpT2Bl/gP2N/2T15WOg/ZRniWBe3sT9iEFg5tMjqP3bgnBGlvbE/h6dXyjLEsT9Wn6ut2F/gP5huEoPAyrE/001iEFg55D+oNc07TtGxP7n8h/Tb17E/ysNCrWnesT+oxks3iUHqP9uK/WX35LE/7FG4HoXrsT8Jih9j7lruPzj4wmSqYOA//Bhz1xLysT+1pnnHKTrkPw3gLZCg+LE/F7fRAN4C6z+X/5B++zrkPwskKH6Mues/HqfoSC7/sT8bDeAtkKDsPy9uowG8BbI/eVioNc075D8/NV66SQyyP1D8GHPXErI/YcPTK2UZsj9yio7k8h+yP4NRSZ2AJrI/kxgEVg4tsj+wcmiR7XznP6Tfvg6cM7I/taZ5xyk6sj/GbTSAt0CyP1uxv+yePOQ/1zTvOEVHsj/n+6nx0k2yP23F/rJ78ug/+MJkqmBUsj8Jih9j7lqyP4zbaABvgew/GlHaG3xhsj8y5q4l5IPqP0a28/3UeOk/bVZ9rrZi6z/biv1l9+TpPysYldQJaLI/O99PjZdusj9MpgpGJXWyPxpR2ht8YeA//Knx0k1i4D9dbcX+snuyP94CCYofY+A/PQrXo3A95D+8lpAPejbrP240gLdAgrI/f/s6cM6Isj9uNIC3QILsP/H0SlmGOOY/Rdjw9EpZ6D/arPpcbcXsPyBj7lpCPuQ/wFsgQfFj4D+PwvUoXI+yPwBvgQTFj+s/001iEFg55j+itDf4wmTgP4QNT6+UZeA/oImw4emVsj9mZmZmZmbgP4lBYOXQIu8/sVBrmnecsj/CFyZTBaOyP0i/fR04Z+A/veMUHcnl6T8rGJXUCWjgPw1xrIvbaOA/097gC5Opsj/vycNCrWngP7WmeccpOuY/46WbxCCwsj/RItv5fmrgPycxCKwcWug/odY07zhF7T/0bFZ9rrayPygPC7Wmeek/BTQRNjy9sj8W+8vuycOyP5LLf0i/fec/J8KGp1fKsj+fPCzUmubpPzeJQWDl0LI/SFD8GHPXsj8CvAUSFD/uP1kXt9EA3rI/at5xio7ksj96pSxDHOuyP4ts5/up8bI/nDOitDf4sj+IhVrTvOPsP636XG3F/rI/vsEXJlMFsz90JJf/kH7nP86I0t7gC7M/gZVDi2zn6T8CvAUSFD/kP9ejcD0K1+0/30+Nl24Ssz/wFkhQ/BizP57vp8ZLN+s/Ad4CCYofsz8Spb3BFyazPyJseHqlLLM/MzMzMzMzsz/kFB3J5T/kP5f/kH77OuY/RPrt68A5sz9VwaikTkCzP1Z9rrZif+c/s3vysFBr4D9miGNd3EazP3ZPHhZqTbM/hxbZzvdTsz+Y3ZOHhVqzP5XUCWgibOA/qaROQBNhsz93LSEf9GzgP7prCfmgZ7M/WYY41sVt4D8730+Nl27gP8oyxLEubrM/JCh+jLlr7z/b+X5qvHSzP+zAOSNKe7M/Y+5aQj7o6T8dOGdEaW/gP/2H9NvXgbM/Dk+vlGWIsz8eFmpN846zPwCRfvs6cOA/L90kBoGVsz/i6ZWyDHHgP8RCrWneceA/QKTfvg6csz9Ra5p3nKKzP2EyVTAqqbM/ppvEILBy4D/ZzvdT46XtP0+vlGWIY+s/cvkP6bevsz+DwMqhRbazP8e6uI0G8Ow/w2SqYFRS7T+Uh4Va07yzP8ZtNIC3QOQ/CmgibHh66T+KH2PuWkLqP6VOQBNhw7M/qvHSTWIQ7D89m1Wfq63sP6jGSzeJQeQ/iPTb14Fz4D+1FfvL7smzP3lYqDXNO+Y/xty1hHzQsz/Xo3A9CtezP+hqK/aX3bM/+THmriXksz8J+aBns+qzPxrAWyBB8bM/FYxK6gQ07T/CFyZTBaPuP+oENBE2PO8/K4cW2c73sz88TtGRXP6zP00VjErqBLQ/ak3zjlN04D9MpgpGJXXgPy7/If32deA/OdbFbTSA5z9d3EYDeAu0P26jAbwFErQ/EFg5tMh24D/ysFBrmnfgP1uxv+yePOY/f2q8dJMYtD/swDkjSnvpPz0K16NwPeY/kDF3LSEftD+h+DHmriW0P7G/7J48LLQ/Gy/dJAaB5z+amZmZmZntP8KGp1fKMrQ/001iEFg5tD8dOGdEaW/sP1CNl24Sg+w/bHh6pSxD6j/gnBGlvcHtPxdIUPwYc+0//Yf029eB5z/kFB3J5T+0P9UJaCJseOA/8KfGSzeJ7z+ASL99HTjrP/Xb14FzRrQ/Tx4Wak3z6D+KH2PuWkLkPyBj7lpCPuY/BaOSOgFNtD+3Yn/ZPXngP5m7lpAPeuA/FmpN845TtD8nMQisHFq0Pzj4wmSqYLQ/CYofY+5a6D9seHqlLEPkP3sUrkfheuA/SL99HThntD9ZhjjWxW20P2pN845TdLQ/exSuR+F6tD9O0ZFc/kPkP4zbaABvgbQ/nKIjufyHtD8CvAUSFD/mP61p3nGKjrQ/vjCZKhiVtD9dbcX+snvgP+QUHcnlP+Y/RUdy+Q/p6T/P91PjpZu0P+C+DpwzorQ/zhlR2ht86T/GbTSAt0DmP/CFyVTBqLQ/AU2EDU+vtD8SFD/G3LW0PyPb+X5qvLQ/P8bctYR84D8hH/RsVn3gPwtGJXUCmu4/NKK0N/jCtD8DeAskKH7gP+XQItv5fuA/RGlv8IXJtD/HKTqSy3/gP1UwKqkT0LQ/+Q/pt68D6z8UP8bctYTqP2b35GGh1rQ/d76fGi/dtD+wcmiR7XzpP4iFWtO847Q/qoJRSZ2A4D8wKqkT0ETkPxKDwMqhReQ/mEwVjErqtD+M22gAb4HgP6kT0ETY8LQ/utqK/WX3tD9iodY07zjrP2HD0ytlGe4/9dvXgXNG5D9uNIC3QILgP1CNl24Sg+A/6+I2GsBb6D+oxks3iUHmP9c07zhFR+Q/y6FFtvP9tD+Sy39Iv33pP9/gC5Opguc/MlUwKqkT7j+srdhfdk/uP9xoAG+BBLU/MnctIR/06D/sL7snDwu1P/32deCcEbU/Dr4wmSoYtT8y5q4l5IPgPx+F61G4HrU/Lv8h/fZ17j8wTKYKRiW1PxQ/xty1hOA/QBNhw9MrtT/2l92Th4XgP0GC4seYu+4/uY0G8BZI5D+wA+eMKO3vP1HaG3xhMrU/YqHWNO84tT/Y8PRKWYbgP65H4XoUru8/c2iR7Xw/tT9xrIvbaADvP7pJDAIrh+A/gy9MpgpGtT+U9gZfmEy1P1vTvOMUHe8/TtGRXP5D6j/KMsSxLm7tPyxlGeJYF+8/nKIjufyH4D9/+zpwzojgP78OnDOitO8/F9nO91Pj7T+lvcEXJlO1P2FUUiegieA/ZapgVFIn7j8xCKwcWmTrP4xK6gQ0Eew/toR80LNZtT9pAG+BBMXvP8dLN4lBYLU/E2HD0ytl6z/XEvJBz2a1P+jZrPpcbbU/+aBns+pztT8KaCJseHq1P3Qkl/+Qfuk/Gy/dJAaBtT8r9pfdk4e1Pzy9UpYhjrU/TYQNT6+UtT9eS8gHPZu1P/W52or9Zes/SgwCK4cW7T9vEoPAyqG1P3/ZPXlYqLU/okW28/3U7j+KH2PuWkLmP5Cg+DHmrrU/m+Ydp+hI5D+hZ7Pqc7W1P0Rpb/CFyeo/Q61p3nGK4D+yLm6jAby1P8P1KFyPwrU/qz5XW7G/7j/TvOMUHcm1PxTQRNjw9Og/bqMBvAUS7D/kg57Nqs+1P2x4eqUsQ+Y/9UpZhjjWtT+0WfW52ortPwYSFD/G3LU/fT81XrpJ5D8noImw4enpPxfZzvdT47U/J6CJsOHptT84Z0Rpb/C1P0T67evAOes/qRPQRNjw7D8y5q4l5IPsPyUGgZVDi+A/SS7/If32tT9a9bnaiv21P8E5I0p7g+c/arx0kxgEtj8ibHh6pSzvP3uDL0ymCrY/X5hMFYxK5D/G3LWEfNDtP0HxY8xdS+Q/jErqBDQRtj+dEaW9wRe2P67YX3ZPHrY/vp8aL90ktj/PZtXnaiu2P+AtkKD4MbY/B1+YTBWM4D/x9EpZhji2PwK8BRIUP7Y/I0p7gy9M5D9O0ZFc/kPmPxKDwMqhRbY/BaOSOgFN5D8jSnuDL0y2PzQRNjy9UrY/CfmgZ7Pq6T9F2PD0Slm2P1afq63YX7Y/ZmZmZmZmtj/cRgN4CyTuP8E5I0p7g+0/H/RsVn2u7D/pt68D54zgPx6n6Egu/+8/9ihcj8L16D+jkjoBTYTnP8sQx7q4jeA/MCqpE9BE5j93LSEf9Gy2P4XrUbgehec/iPTb14Fztj988rBQa5rtP5m7lpAPerY/qoJRSZ2Atj+tad5xio7gP7pJDAIrh7Y/5/up8dJN5D/KVMGopE7kP4/C9Shcj+A/yxDHuriNtj/c14FzRpS2P2dEaW/whec/J8KGp1fK6j/tnjws1Jq2P+PHmLuWkOs//mX35GGhtj8OLbKd76e2P3EbDeAtkOA/H/RsVn2utj8wuycPC7W2P5f/kH77Ouw/QYLix5i7tj9SSZ2AJsK2P2IQWDm0yLY/c9cS8kHPtj/NO07RkVzoP4SezarP1bY/lWWIY13ctj+lLEMc6+K2P7bz/dR46bY/x7q4jQbwtj/YgXNGlPa2P+M2GsBbIO8/6Ugu/yH9tj/5D+m3rwO3PwFNhA1Pr+4/SZ2AJsKG5z8K16NwPQq3P5jdk4eFWu0/G55eKcsQtz8r9pfdk4fnPyxlGeJYF7c/VHQkl/+Q4D89LNSa5h23P03zjlN0JLc/XrpJDAIrtz8mUwWjkjrrP9iBc0aU9ug/b4EExY8xtz/FILByaJHrPzbNO07RkeA/EoPAyqFF5j8YJlMFo5LgP4BIv30dOLc/kQ96Nqs+tz/6fmq8dJPgP6HWNO84Rbc/rK3YX3ZP5D/129eBc0bmP7Kd76fGS7c/w2SqYFRStz/c14FzRpTgP9cS8kHPZus/1CtlGeJYtz/l8h/Sb1+3P/W52or9Zbc/Vn2utmJ/6T++MJkqGJXgPwaBlUOLbLc/F0hQ/Bhztz8oDwu1pnm3Pylcj8L1KOw/kxgEVg4t7j+BlUOLbOftPznWxW00gLc/SZ2AJsKGtz9N845TdCTtP18HzhlR2us/WmQ730+Ntz9rK/aX3ZO3P3zysFBrmrc/oImw4emV4D8OT6+UZYjnP4y5awn5oLc/nYAmwoantz+C4seYu5bgP7raiv1l9+g/rkfhehSutz/wp8ZLN4nnP78OnDOitLc/0NVW7C+7tz+cM6K0N/joP+CcEaW9wbc/8WPMXUvItz/gvg6cM6LuPwIrhxbZzrc/M8SxLm6j7T/XNO84RUfmP+xRuB6F6+k/foy5awn56D8T8kHPZtW3PyS5/If027c/NIC3QILitz9FR3L5D+m3PznWxW00gOk/ZDvfT42X4D9WDi2yne+3P2fV52or9rc/eJyiI7n8tz+IY13cRgO4P5kqGJXUCbg/qvHSTWIQuD+WQ4ts5/vtP7u4jQbwFrg/jgbwFkhQ5D/Mf0i/fR24P3BfB84ZUeQ/Gy/dJAaB6T9GlPYGX5jgP9xGA3gLJLg/7Q2+MJkquD/+1HjpJjG4Pw+cM6K0N7g/Ke0NvjCZ4D/SAN4CCYrnPyBj7lpCPrg/MCqpE9BEuD8LRiV1AprgP0HxY8xdS7g/p3nHKTqS6z9SuB6F61G4P8X+snvysO4/tFn1udqK5z9jf9k9eVi4P5vmHafoSO4/dEaU9gZfuD+EDU+vlGW4P+2ePCzUmuA/ldQJaCJsuD/9h/Tb14HpP3npJjEIrO4/ppvEILByuD/P91PjpZvgP7dif9k9ebg/oyO5/If07z/HKTqSy3+4P9jw9EpZhrg/6bevA+eMuD/6fmq8dJO4PwtGJXUCmrg/Gw3gLZCguD9pb/CFyVTvP7FQa5p3nOA/LNSa5h2nuD+5jQbwFkjmP1K4HoXrUeQ/umsJ+aBn6z89m1Wfq624P5OpglFJneA/dQKaCBue4D9OYhBYObS4P3lYqDXNO+w/8x/Sb18H7j8IrBxaZDvrP18pyxDHurg/m+Ydp+hI5j9v8IXJVMG4P4C3QILix7g/kX77OnDOuD99PzVeuknmP6JFtvP91Lg/001iEFg57j+zDHGsi9u4P1+YTBWMSuY/NBE2PL1S5D9B8WPMXUvmP8PTK2UZ4rg/r5RliGNd6D8jSnuDL0zmP9Sa5h2n6Lg/5WGh1jTvuD8Wak3zjlPkP/YoXI/C9bg/lrIMcayL5z8JG55eKcvqP1dbsb/snuA/w/UoXI/C7T85tMh2vp/gPxsN4C2QoOA/B/AWSFD8uD8Xt9EA3gK5Pyh+jLlrCbk/+MJkqmBU5D85RUdy+Q+5P3gLJCh+jOc/SgwCK4cWuT9b07zjFB25P2uad5yiI7k/fGEyVTAquT/+ZffkYaHgP40o7Q2+MLk/nu+nxks3uT/gvg6cM6LgP662Yn/ZPbk/whcmUwWj4D+/fR04Z0S5PwWjkjoBTeY/pHA9Ctej4D+7Jw8LtabtP9Ei2/l+au4/WmQ730+N5z/QRNjw9Eq5P+ELk6mCUbk/8tJNYhBYuT8Cmggbnl65PxNhw9MrZbk/JCh+jLlruT+GyVTBqKTgP+f7qfHSTeY/3+ALk6mC6T817zhFR3K5P0a28/3UeLk/Vn2utmJ/uT/KVMGopE7mP2dEaW/whbk/eAskKH6MuT/caABvgQTrP4nS3uALk7k/mpmZmZmZuT/Oqs/VVuzpP2gibHh6peA/SnuDL0ym4D+qYFRSJ6C5P2Dl0CLb+eg/PL1SliGO5z/2l92Th4XqP3icoiO5/O0/uycPC7WmuT/M7snDQq25P921hHzQs7k/fa62Yn/Z7T/ufD81Xrq5P/5D+u3rwLk/sHJoke187T/aG3xhMlXkPw8LtaZ5x7k/INJvXwfOuT8xmSoYldS5P5p3nKIjue4/LNSa5h2n4D9CYOXQItu5Px6n6Egu/+0/Di2yne+n4D9SJ6CJsOG5P2PuWkI+6Lk/dLUV+8vuuT+FfNCzWfW5P5HtfD81Xug/lkOLbOf7uT90RpT2Bl/oP/CFyVTBqOA/sAPnjCjt6T+mCkYldQK6P9Pe4AuTqeA/rK3YX3ZP5j8fhetRuB7tPzbNO07Rkew/t9EA3gIJuj/ImLuWkA+6P7U3+MJkquA/2V92Tx4Wuj+XkA96NqvgP8E5I0p7g+k/6SYxCKwcuj/67evAOSO6P3npJjEIrOA/C7Wmeccpuj8cfGEyVTC6Py1DHOviNro/PQrXo3A9uj9O0ZFc/kO6P1+YTBWMSro/cF8HzhlRuj9bQj7o2azgP4EmwoanV7o/ke18PzVeuj+jkjoBTYTpP6K0N/jCZLo/6gQ0ETY86z+8dJMYBFbkP5/Nqs/VVuQ/s3vysFBruj9LWYY41sXtP8RCrWnecbo/1QloImx4uj8eFmpN847nP+XQItv5fro/9pfdk4eFuj/Y8PRKWYbqPz2bVZ+rreA/B1+YTBWMuj9FR3L5D+nvP+58PzVeuus/zF1LyAc96z8YJlMFo5K6PyntDb4wmbo/ObTIdr6fuj8f9GxWfa7gP44G8BZIUOY/SnuDL0ymuj/kFB3J5T/uP4nS3uALk+s/AU2EDU+v4D9bQj7o2ay6P0I+6Nms+ug/bAn5oGezuj+BJsKGp1fkP33Qs1n1ubo/jZduEoPAuj9rK/aX3ZPrP55eKcsQx7o/46WbxCCw4D+vJeSDns26P8Dsnjws1Lo/0LNZ9bnauj/hehSuR+G6P8X+snvysOA/8kHPZtXnuj+At0CC4sfuPwMJih9j7ro/JJf/kH776D+SXP5D+u3pPxQ/xty1hOw/FNBE2PD0uj8kl/+Qfvu6PzVeukkMArs/RiV1ApoIuz+WsgxxrIvtP6hXyjLEseA/1XjpJjEI7j9X7C+7Jw+7P2iz6nO1Fbs/eHqlLEMcuz8Ab4EExY/nP4lBYOXQIrs/mggbnl4puz8H8BZIUPzoP6vP1VbsL7s/Y3/ZPXlY5D9Wn6ut2F/oP7yWkA96Nrs/+THmriXk7T/rc7UV+8vqP8xdS8gHPbs/3SQGgZVDuz+KsOHplbLgP+7rwDkjSrs/48eYu5aQ5z//snvysFC7P7gehetRuOw/EHo2qz5Xuz8gQfFjzF27P3BfB84ZUeY/bAn5oGez4D+lvcEXJlPtPzEIrBxaZLs/Qs9m1edquz9OYhBYObTgP1K4HoXrUeY/OPjCZKpg6D8LtaZ5xynsP1OWIY51cbs/ZF3cRgN4uz/n+6nx0k3sP3Qkl/+Qfrs/MLsnDwu14D+F61G4HoW7P5ayDHGsi7s/p3nHKTqSuz+4QILix5i7P8UgsHJokec/yAc9m1Wfuz/ZzvdT46W7P8HKoUW28+0/6pWyDHGsuz8SFD/G3LXgP4EExY8xd+8/p3nHKTqS5z80ETY8vVLmPybkg57Nqu8/9GxWfa624D/7XG3F/rK7P5p3nKIjuew/CyQofoy5uz9F2PD0SlnkP9bFbTSAt+A/uB6F61G44D8c6+I2GsC7Py2yne+nxrs/mnecoiO54D8+eVioNc27PxZqTfOOU+Y/T0ATYcPTuz9fB84ZUdq7PycxCKwcWuQ/cM6I0t7guz+BlUOLbOe7P33Qs1n1ueA/XynLEMe64D+8BRIUP8bsP5Jc/kP67bs/idLe4AuT5z+jI7n8h/S7PxpR2ht8Yeg/s+pztRX7uz9rK/aX3ZPnP3S1FfvL7uk/QYLix5i74D8j2/l+arzgP8pUwaikTuw/a5p3nKIj7z/EsS5uowG8P02EDU+vlOc/1XjpJjEIvD/mP6Tfvg68P/cGX5hMFbw/BTQRNjy94D8HzhlR2hu8PxiV1AloIrw/KVyPwvUovD/njCjtDb7gPzojSnuDL7w/S+oENBE2vD++wRcmUwXrP451cRsN4O8/W7G/7J48vD/J5T+k377gP2x4eqUsQ7w/fT81XrpJvD9L6gQ0ETbuP8rDQq1p3u0/qz5XW7G/4D+OBvAWSFC8PxDpt68D5+4/ukkMAiuH6j9Q/Bhz1xLsP/fkYaHWNO0/at5xio7k7D+fzarP1Va8P3gLJCh+jO8/+MJkqmBU5j+vlGWIY128P8BbIEHxY7w/jZduEoPA4D/RItv5fmq8P8iYu5aQD+4/Vg4tsp3v6T/pSC7/If3oP+LplbIMcbw/8rBQa5p3vD9v8IXJVMHgPwN4CyQofrw/FD/G3LWEvD+gGi/dJAbtPyUGgZVDi7w/CYofY+5a5D82zTtO0ZG8P0aU9gZfmLw/2ht8YTJV5j9SSZ2AJsLgP0Jg5dAi2+s/6+I2GsBb5D9XW7G/7J68P2gibHh6pbw//Knx0k1i6D956SYxCKy8P4qw4emVsrw/zTtO0ZFc5D/kg57Nqs/vP4qO5PIf0u0/mnecoiO5vD+rPldbsb+8P7wFEhQ/xrw/L90kBoGV5z/LoUW28/3oPzhnRGlv8Ok/hetRuB6F6T/NzMzMzMy8PzSitDf4wuA/3pOHhVrTvD/uWkI+6Nm8Pxb7y+7Jw+A//yH99nXgvD8Q6bevA+e8PyGwcmiR7bw/MnctIR/0vD9CPujZrPq8P7x0kxgEVuY/UwWjkjoBvT9kzF1LyAe9P6+UZYhjXeQ/dZMYBFYOvT+GWtO84xS9P5YhjnVxG70/Z0Rpb/CF6T+n6Egu/yG9P83MzMzMzOo/uK8D54wovT/Jdr6fGi+9P/hT46WbxOA/2T15WKg1vT+utmJ/2T3rP5/Nqs/VVuY/i2zn+6nx7D/qBDQRNjy9P/vL7snDQr0/MuauJeSD7j/35GGh1jTvP9qs+lxtxeA/DJOpglFJvT/Jdr6fGi/tP7wFEhQ/xuA/oBov3SQG6z8dWmQ730+9Py0hH/RsVr0/PujZrPpcvT9Pr5RliGO9P2B2Tx4War0/cT0K16NwvT+eXinLEMfgP0mdgCbChuk/ETY8vVKW5z+BBMWPMXe9P636XG3F/ug/gSbChqdX5j+R7Xw/NV7kP5LLf0i/fb0/gLdAguLH4D+vJeSDns3qP6OSOgFNhL0/TYQNT6+U6z+0WfW52oq9P8UgsHJokb0/1edqK/aXvT9iEFg5tMjgP+auJeSDnr0/93XgnBGlvT9GtvP91HjvPwg9m1Wfq70/RGlv8IXJ4D8ZBFYOLbK9PzarPldbse0/KcsQx7q4vT8awFsgQfHpPyv2l92Th+k/OpLLf0i/vT8nwoanV8rgP0tZhjjWxb0/XCBB8WPMvT9t5/up8dK9P32utmJ/2b0/dEaU9gZf5D8yVTAqqRPsP5yiI7n8h+o/kX77OnDO6j+OdXEbDeC9P1afq63YX+Q/nzws1JrmvT+wA+eMKO29P8HKoUW2870/845TdCSX5z9jf9k9eVjmPwkbnl4py+A/0ZFc/kP6vT/V52or9pfnP+JYF7fRAL4/AJF++zpw7D9t5/up8dLtPwHeAgmKH+0/8x/Sb18Hvj8E54wo7Q2+Pw5Pr5RliOk/8KfGSzeJ6T/rc7UV+8vgPzj4wmSqYOQ//Bhz1xLy6T8UrkfhehS+P49TdCSX/+g/GlHaG3xh5D8ldQKaCBu+P/yp8dJNYuQ/Rdjw9EpZ5j/NzMzMzMzgP68l5IOezeA/Njy9UpYhvj9HA3gLJCi+P5F++zpwzuA/3gIJih9j5D9YyjLEsS6+P2iR7Xw/Nb4/eVioNc07vj/AWyBB8WPkP4ofY+5aQr4/m+Ydp+hIvj+srdhfdk++P7x0kxgEVr4/zTtO0ZFcvj9z1xLyQc/gP94CCYofY74/uECC4seY5z9VMCqpE9DgP+/Jw0Ktab4/AJF++zpwvj+Rfvs6cM7uPxBYObTIdr4/IR/0bFZ9vj8y5q4l5IO+P0Otad5xir4/VHQkl/+Qvj9kO99PjZe+P9DVVuwvu+s/orQ3+MJk5D83iUFg5dDgP3UCmggbnr4/JzEIrBxa5j+GyVTBqKS+P5eQD3o2q74/qFfKMsSxvj+4HoXrUbi+PxniWBe30eA/yeU/pN++vj84Z0Rpb/DvP3Gsi9toAOk/+zpwzojS4D/arPpcbcW+PwmKH2PuWuY/kQ96Nqs+6z+amZmZmZnnP+tztRX7y74/3pOHhVrT4D/eAgmKH2PoP/s6cM6I0r4/DAIrhxbZvj8dyeU/pN++Py6QoPgx5r4/ZRniWBe37T9HcvkP6bftP4QNT6+UZeQ/ZmZmZmZm5D8/V1uxv+y+P4JzRpT2Bus/Tx4Wak3zvj/A7J48LNTgP2Dl0CLb+b4/6+I2GsBb5j9xrIvbaAC/P4JzRpT2Br8/okW28/3U4D+TOgFNhA2/P6MBvAUSFL8/hJ7Nqs/V4D+0yHa+nxq/P8WPMXctIb8/yAc9m1Wf7z/WVuwvuye/P+cdp+hILr8/ZvfkYaHW4D/35GGh1jS/P3zysFBrmuc/si5uowG86z8IrBxaZDu/P807TtGRXOY/SL99HThn5D8Zc9cS8kG/P0hQ/Bhz1+A/c9cS8kHP6j8qqRPQRNjgPyo6kst/SL8/OwFNhA1Pvz9LyAc9m1W/P1yPwvUoXL8/DAIrhxbZ4D9tVn2utmK/P34dOGdEab8/VTAqqRPQ6j+P5PIf0m+/P8HKoUW28+s/n6ut2F92vz+wcmiR7Xy/P8E5I0p7g78/0gDeAgmKvz/jx5i7lpC/P/OOU3Qkl78/BFYOLbKdvz/uWkI+6NngPwN4CyQofu4/0LNZ9bna4D9/+zpwzojqP7MMcayL2+A/FR3J5T+kvz8sZRniWBftPybkg57Nqr8/KxiV1Alo5D+VZYhjXdzgP6MjufyH9O0/Nqs+V1uxvz8NcayL22jkP15LyAc9m+c/wFsgQfFj6D93vp8aL93gP5zEILByaOs/R3L5D+m3vz8AAAAAAADuP1g5tMh2vr8/aQBvgQTFvz96xyk6ksu/P4qO5PIf0r8/m1Wfq63Yvz9ZF7fRAN7gP6wcWmQ7378/orQ3+MJk6D8v3SQGgZXrP73jFB3J5b8/zqrP1Vbsvz/ecYqO5PK/P0Ck374OnOc/7zhFR3L5vz8AAAAAAADAP4hjXdxGA8A/hA1Pr5Rl6D+vlGWIY13mPxHHuriNBsA/mSoYldQJwD8ijnVxGw3AP6rx0k1iEMA/MlUwKqkTwD990LNZ9bnsP7u4jQbwFsA/gy9MpgpG7T9DHOviNhrAP+/Jw0KtaeQ/zH9Iv30dwD9U46WbxCDAP8P1KFyPwu8/3EYDeAskwD8wTKYKRiXtP6yL22gAb+0/ETY8vVKW6z9hVFInoInqP9IA3gIJiuk/ZapgVFInwD/tDb4wmSrAP3ZxGw3gLcA/tFn1udqK6T/+1HjpJjHAP4Y41sVtNMA/D5wzorQ3wD9fKcsQx7rsP5f/kH77OsA/ZMxdS8gH6z8gY+5aQj7AP9Ei2/l+auQ/qMZLN4lBwD8wKqkT0ETAPyL99nXgnOc/uY0G8BZIwD9B8WPMXUvAP8pUwaikTsA/UrgehetRwD/aG3xhMlXAP9lfdk8eFu4/Y3/ZPXlYwD/r4jYawFvAP3RGlPYGX8A/ke18PzVe5j8wKqkT0ETqPztwzojS3uA//Knx0k1iwD+EDU+vlGXAP2ZmZmZmZug/DXGsi9towD+V1AloImzAPx04Z0Rpb8A/ppvEILBywD8u/yH99nXAP3RGlPYGX+Y/3nGKjuTy6T+3Yn/ZPXnAPz/G3LWEfMA/xyk6kst/wD8dyeU/pN/gP1MFo5I6Aek/GQRWDi2y7T//If32deDgP1CNl24Sg8A/2PD0SlmGwD9hVFInoInAP+m3rwPnjMA/4XoUrkfh4D9xGw3gLZDAP0Otad5xiuo/kst/SL997T+sHFpkO9/tP/p+arx0k8A/w9MrZRni4D+lLEMc6+LgP86qz9VW7O8/lIeFWtO86z+C4seYu5bAPwtGJXUCmsA/k6mCUUmdwD8lBoGVQ4vqP+kmMQisHO4/jgbwFkhQ7j8bDeAtkKDAP/aX3ZOHhew/s3vysFBr5D9Wn6ut2F/mP6RwPQrXo8A/ldQJaCJs5D/oaiv2l93vPyzUmuYdp8A/tTf4wmSqwD9Iv30dOGfoP4iFWtO84+A/RiV1ApoI6z8rGJXUCWjoPz2bVZ+rrcA/xf6ye/KwwD9OYhBYObTAP9bFbTSAt8A/XynLEMe6wD/njCjtDb7APwRWDi2ynec/at5xio7k4D9MN4lBYOXgPzj4wmSqYOY/b/CFyVTBwD/4U+Olm8TAP4C3QILix8A/LpCg+DHm4D8Q6bevA+fgP/JBz2bV5+A/CRueXinLwD+Rfvs6cM7APxniWBe30cA/okW28/3UwD8qqRPQRNjAP9Sa5h2n6OA/swxxrIvbwD+28/3UeOngP5hMFYxK6uA/eqUsQxzr4D87cM6I0t7AP8PTK2UZ4sA/Xf5D+u3r4D9MN4lBYOXAPxpR2ht8YeY/1JrmHafowD9d/kP67evAPz9XW7G/7OA/xEKtad5x7j8NcayL22joP3ctIR/0bOQ/+n5qvHST7j/lYaHWNO/AP23F/rJ78sA/9ihcj8L1wD9+jLlrCfnAPyGwcmiR7eA/AwmKH2Pu4D8H8BZIUPzAP1mGONbFbeQ/5WGh1jTv4D/HuriNBvDgPxKlvcEXJu0/TDeJQWDl7D+WsgxxrIvpP+auJeSDnuc/j1N0JJf/wD+pE9BE2PDgP3ZxGw3gLe4/F7fRAN4CwT94CyQofozpP4ts5/up8eA/oBov3SQGwT+q8dJNYhDuPyh+jLlrCcE/O99PjZdu5D/8qfHSTWLmP7Hh6ZWyDME/OUVHcvkPwT/BqKROQBPBP5OpglFJne4/SgwCK4cWwT/Sb18HzhnBP3bgnBGlves/OpLLf0i/7T9b07zjFB3BP23F/rJ78uA/4zYawFsgwT9ApN++DpzvP2uad5yiI8E/9P3UeOkmwT98YTJVMCrBPwXFjzF3LcE/jSjtDb4wwT+jI7n8h/TrPxWMSuoENME/rK3YX3ZP7D9PHhZqTfPgPzJ3LSEf9OA/FNBE2PD04D+e76fGSzfBPyZTBaOSOsE/zO7Jw0Kt7T924JwRpb3vP30/NV66Se4/rrZif9k9wT8dOGdEaW/kPzcawFsgQcE//Bhz1xLy7T+/fR04Z0TBP0jhehSuR8E/0ETY8PRKwT8Sg8DKoUXqP1ioNc07TsE/4QuTqYJRwT9pb/CFyVTBP/LSTWIQWME/ejarPldbwT8Cmggbnl7BP/YoXI/C9eA/NV66SQwC6T+L/WX35GHBPxNhw9MrZcE/3gIJih9j5j++nxov3STuP5zEILByaME/+aBns+pz7z8tQxzr4jbuP9iBc0aU9uA/JCh+jLlrwT+si9toAG/BPzXvOEVHcsE/utqK/WX34D8ofoy5awnrP5wzorQ3+OA/foy5awn54D9g5dAi2/ngP71SliGOdcE/Rrbz/dR4wT/OGVHaG3zBP8HKoUW28+k/Vn2utmJ/wT/f4AuTqYLBP0I+6Nms+uA/78nDQq1p6D9QjZduEoPuP2dEaW/whcE/0SLb+X5q6D/wp8ZLN4nBPySX/5B+++A/eAskKH6MwT8Ab4EExY/BPwCRfvs6cOQ/idLe4AuTwT/jx5i7lpDtPxE2PL1SlsE/F7fRAN4C6T/AWyBB8WPmP5qZmZmZmcE/Iv32deCcwT+qYFRSJ6DBPzPEsS5uo8E/B/AWSFD84D8MAiuHFtnsP7snDwu1psE/RIts5/upwT/M7snDQq3BP3WTGARWDu8/VFInoImwwT+jI7n8h/TpP921hHzQs8E/ZRniWBe3wT/129eBc0bqP8PTK2UZ4u4/WmQ730+N6T9kXdxGA3jvPzeJQWDl0Oo/6Ugu/yH94D9y+Q/pt6/vP+qVsgxxrO8/hXzQs1n16z/ufD81XrrBP3bgnBGlvcE/8tJNYhBY7z/i6ZWyDHHkP/5D+u3rwME/845TdCSX6z+Hp1fKMsTBP8RCrWneceQ/Dwu1pnnHwT+ze/KwUGvoP8uhRbbz/eA/GeJYF7fR6j+YbhKDwMrBPzJ3LSEf9O4/FK5H4XoU7D8g0m9fB87BP6K0N/jCZOY/qDXNO07RwT8xmSoYldTBP636XG3F/uA/ufyH9NvXwT9CYOXQItvBP49TdCSX/+A/ppvEILBy5D/Kw0Ktad7BP1InoImw4cE/24r9ZffkwT9j7lpCPujBP+xRuB6F68E/dLUV+8vuwT/8GHPXEvLBP4V80LNZ9cE/DeAtkKD4wT+WQ4ts5/vBP55eKcsQx+w/HqfoSC7/wT88vVKWIY7pP6YKRiV1AsI/L26jAbwFwj+30QDeAgnCP3Gsi9toAOE/hA1Pr5Rl5j8K16NwPQrrP4j029eBc+Q/PzVeukkMwj9TBaOSOgHhPx4Wak3zjuk/yJi7lpAPwj9Q/Bhz1xLCPzVeukkMAuE/2V92Tx4Wwj9hw9MrZRnCP+kmMQisHMI/7Q2+MJkq7D9yio7k8h/CPxe30QDeAuE/+Q/pt68D4T/67evAOSPCP4NRSZ2AJsI/1zTvOEVH6j+e76fGSzfvPwdfmEwVjOo/C7Wmeccpwj/caABvgQThP5MYBFYOLcI/fh04Z0Rp6z9qTfOOU3TkPxx8YTJVMMI/TKYKRiV15D+k374OnDPCPy1DHOviNsI/taZ5xyk6wj89CtejcD3CP8ZtNIC3QMI/vsEXJlMF4T9mZmZmZmbmP8gHPZtVn+c/TtGRXP5Dwj8u/yH99nXkP9c07zhFR8I/WDm0yHa+6z+gGi/dJAbhP1+YTBWMSsI/5/up8dJNwj9wXwfOGVHCP/jCZKpgVMI/gSbChqdXwj9Iv30dOGfmP4JzRpT2BuE/CYofY+5awj8Ab4EExY/pP+wvuycPC+s/ke18PzVewj8aUdobfGHCPxBYObTIduQ/orQ3+MJkwj8rGJXUCWjCP7N78rBQa8I/qmBUUieg5z9eS8gHPZvtPzvfT42XbsI/8rBQa5p35D/EQq1p3nHCP451cRsN4O0/ZMxdS8gH4T9MpgpGJXXCP9UJaCJseOQ/t2J/2T155D/VCWgibHjCP4y5awn5oOc/XW3F/rJ7wj/l0CLb+X7CP240gLdAgsI/9pfdk4eFwj9/+zpwzojCP5XUCWgibOg/C7Wmeccp7j8HX5hMFYzCP28Sg8DKoec/j8L1KFyPwj8rGJXUCWjmPxgmUwWjksI/6bevA+eM6j9Ra5p3nKLnP6CJsOHplcI/Ke0NvjCZwj9GJXUCmgjhP7FQa5p3nMI/ObTIdr6fwj9n1edqK/brP8sQx7q4jeo/SS7/If327z8ofoy5awnhP18HzhlR2u8/whcmUwWjwj/5D+m3rwPpPzAqqRPQRO4/SnuDL0ymwj8noImw4entP7UV+8vuye0/c2iR7Xw/6z/T3uALk6nCP1tCPujZrMI/M8SxLm6j5z/jpZvEILDCP2wJ+aBns8I/mG4Sg8DK7T9ZhjjWxW3uP5m7lpAPeuQ/9GxWfa62wj990LNZ9bnCP86I0t7gC+s/BTQRNjy9wj8K16NwPQrhP42XbhKDwMI/DXGsi9to5j8W+8vuycPCP55eKcsQx8I/J8KGp1fKwj+vJeSDns3CPzeJQWDl0MI/wOyePCzUwj9IUPwYc9fCP9CzWfW52sI/78nDQq1p5j+FfNCzWfXpP9xoAG+BBOk/7C+7Jw8L4T8JG55eKcvuP3sUrkfheuQ/WRe30QDewj/+ZffkYaHsP9Ei2/l+auY/zojS3uAL4T+x4emVsgzhP+F6FK5H4cI/1edqK/aX6z+ze/KwUGvmP2recYqO5MI/8kHPZtXnwj96pSxDHOvCPwMJih9j7sI/i2zn+6nxwj+Cc0aU9gbtP77BFyZTBek/kzoBTYQN4T9gdk8eFmrrP3WTGARWDuE/rWnecYqO6j8U0ETY8PTCP5wzorQ3+MI/JJf/kH77wj+t+lxtxf7CP+PHmLuWkOk/NV66SQwCwz9X7C+7Jw/hP4cW2c73U+0/Z0Rpb/CF7z++wRcmUwXDP0YldQKaCMM/zojS3uALwz9X7C+7Jw/DP99PjZduEsM/aLPqc7UVwz+V1AloImzmP/AWSFD8GMM/eHqlLEMcwz8B3gIJih/DP4lBYOXQIsM/CKwcWmQ77z93LSEf9GzoPxKlvcEXJsM/Qs9m1edq6z8wuycPC7XuP5oIG55eKcM/9P3UeOkm7T85RUdy+Q/hP4/C9Shcj+o/Imx4eqUswz9dbcX+snvkP/mgZ7Pqc+0/G55eKcsQ4T+rz9VW7C/DP+5aQj7o2ew/MzMzMzMzwz9kzF1LyAftP/s6cM6I0uo/vJaQD3o2wz8/xty1hHzkP0T67evAOcM/zF1LyAc9wz8hH/RsVn3kP5wzorQ3+O4/gLdAguLH7D9VwaikTkDDPxpR2ht8Yew/odY07zhF7z9n1edqK/bpP1mGONbFbeg/3SQGgZVDwz9miGNd3EbDP3ctIR/0bOY/7uvAOSNKwz92Tx4Wak3DP7mNBvAWSOo//fZ14JwR4T//snvysFDDP+C+Dpwzouw/hxbZzvdTwz9ZhjjWxW3mP2IQWDm0yOw/A3gLJCh+5D8730+Nl27mPxB6Nqs+V8M/HThnRGlv5j+Y3ZOHhVrDP7hAguLHmOs/30+Nl24S4T/l0CLb+X7kP1K4HoXrUe4/IEHxY8xdwz9VwaikTkDrPwCRfvs6cOY/qaROQBNhwz8J+aBns+rvPzEIrBxaZMM/waikTkAT4T+6awn5oGfDP0LPZtXnasM/4umVsgxx5j/KMsSxLm7DP6MBvAUSFOE/U5YhjnVxwz/b+X5qvHTDP2Rd3EYDeMM/3pOHhVrT6j/swDkjSnvDP8RCrWneceY/ppvEILBy5j90JJf/kH7DP/2H9NvXgcM/hetRuB6Fwz/HKTqSy3/kPw5Pr5RliMM/oBov3SQG6T9EaW/whcnsP5ayDHGsi8M/6gQ0ETY87T/FILByaJHpPx4Wak3zjsM/p3nHKTqSwz8VHcnlP6TnP3S1FfvL7u8/iPTb14Fz5j+GWtO84xThP2pN845TdOY/L90kBoGVwz9MpgpGJXXmP7hAguLHmMM/QKTfvg6cwz/IBz2bVZ/DP2iz6nO1FeE/j+TyH9Jv7z9KDAIrhxbhP1FrmnecosM/2c73U+Olwz9hMlUwKqnDP+cdp+hILu8/6pWyDHGswz9y+Q/pt6/DP3EbDeAtkOo/+1xtxf6ywz+DwMqhRbbDP6qCUUmdgOQ/CyQofoy5wz+M22gAb4HkPy7/If32deY/p3nHKTqS6T+Uh4Va07zDP/d14JwRpec/HOviNhrAwz+lTkATYcPDP240gLdAguQ/UI2XbhKD5D8sZRniWBfhPy2yne+nxsM/tRX7y+7Jwz8+eVioNc3DP8bctYR80MM/T0ATYcPTwz+FfNCzWfXtPw6+MJkqGOE/8BZIUPwY4T/Xo3A9CtfDP18HzhlR2sM/6Gor9pfdwz8730+Nl27oP3DOiNLe4MM/+THmriXkwz+BlUOLbOfDPwn5oGez6sM/klz+Q/rtwz/ZzvdT46XnP9JvXwfOGeE/tMh2vp8a4T8awFsgQfHDP6MjufyH9MM/SS7/If326T8rhxbZzvfDP7Pqc7UV+8M/PE7RkVz+wz+WIY51cRvhP8xdS8gHPe0/xLEubqMBxD9NFYxK6gTEPzLmriXkg+Q/eHqlLEMc4T/VeOkmMQjEPyuHFtnO9+k/W9O84xQd4T/A7J48LNTqP13cRgN4C8Q/PSzUmuYd4T/mP6Tfvg7EP26jAbwFEsQ/9wZfmEwVxD8fhetRuB7hP21Wfa62Yu0/f2q8dJMYxD/wFkhQ/BjvPwfOGVHaG8Q/kDF3LSEfxD+J0t7gC5PpPxQ/xty1hOQ/GJXUCWgixD+7Jw8LtabnP6H4MeauJcQ/EFg5tMh25j8pXI/C9SjEP7G/7J48LMQ/OiNKe4MvxD/ChqdXyjLEPyfChqdXyuw/gnNGlPYG6T9L6gQ0ETbEP9NNYhBYOcQ/W7G/7J48xD/kFB3J5T/EP/KwUGuad+Y/bHh6pSxDxD/129eBc0bEP30/NV66ScQ/BaOSOgFNxD+OBvAWSFDEPxZqTfOOU8Q/n82qz9VWxD8nMQisHFrEP6+UZYhjXcQ/DeAtkKD46T8B3gIJih/hP9nO91Pjpe8/2PD0SlmG7D84+MJkqmDEP8BbIEHxY8Q/SL99HThnxD/jNhrAWyDhP9Ei2/l+asQ/xY8xdy0h4T9LyAc9m1XvP6foSC7/IeE/WYY41sVtxD/i6ZWyDHHEP4lBYOXQIuE/9pfdk4eF5D/FILByaJHtP2pN845TdMQ/m+Ydp+hI6j8dOGdEaW/oP1g5tMh2vu8/8rBQa5p3xD9bsb/snjzsP3sUrkfhesQ/A3gLJCh+xD9JLv8h/fbrP4zbaABvgcQ/a5p3nKIj4T/VCWgibHjmP2TMXUvIB+k/t2J/2T155j9n1edqK/btPxQ/xty1hMQ/nYAmwoan5z+coiO5/IfEP03zjlN0JOE/JQaBlUOLxD+tad5xio7EPzbNO07RkcQ/f9k9eVio5z++MJkqGJXEPyuHFtnO9+8/K4cW2c736z+Zu5aQD3rmP23F/rJ78uw/RpT2Bl+YxD/P91PjpZvEP3Qkl/+Qfu0/V1uxv+yexD8wTKYKRiXhP3sUrkfheuY/EqW9wRcm4T/Y8PRKWYbkP+C+DpwzosQ/aCJseHqlxD/whclUwajEP3npJjEIrMQ/seHplbIM6z8BTYQNT6/EP11txf6ye+Y/ukkMAiuH5D+coiO5/IfkP/T91HjpJuE/irDh6ZWyxD/WVuwvuyfhPxIUP8bctcQ/mnecoiO5xD8j2/l+arzEP6s+V1uxv8Q/v30dOGdE7z80orQ3+MLEP0+vlGWIY+0/fT81XrpJ6j+8BRIUP8bEP3/7OnDOiOQ/YTJVMCqp5z9EaW/whcnEP83MzMzMzMQ/+zpwzojS7j9VMCqpE9DEP5M6AU2EDes/3pOHhVrTxD/+1HjpJjHuP7pJDAIrh+w/ZvfkYaHWxD9hVFInoInkP0SLbOf7qec/+1xtxf6y7T/uWkI+6NnEP3e+nxov3cQ//yH99nXgxD+4rwPnjCjhP4iFWtO848Q/EOm3rwPnxD+aCBueXinhP0Otad5xiuQ/ayv2l92T6T+YTBWMSurEPyGwcmiR7cQ/klz+Q/rt7T+pE9BE2PDEP9Sa5h2n6O4/MnctIR/0xD+62or9ZffEP0I+6Nms+sQ/fGEyVTAq4T/LoUW28/3EP166SQwCK+E/TYQNT6+U6T9TBaOSOgHFP0ATYcPTK+E/P8bctYR85j/caABvgQTFP2TMXUvIB8U/7C+7Jw8LxT91kxgEVg7FP0aU9gZfmO4//fZ14JwRxT+GWtO84xTFPw6+MJkqGMU/L90kBoGV6T+WIY51cRvFPybkg57Nquc/FNBE2PD07j8ibHh6pSzhP1R0JJf/kO4/IR/0bFZ95j8DeAskKH7mP44G8BZIUOw/H4XrUbgexT8lBoGVQ4vkPwdfmEwVjOQ/p+hILv8hxT8VHcnlP6TtP+m3rwPnjOQ/MEymCkYlxT+4rwPnjCjFP0ATYcPTK8U/yXa+nxovxT8N4C2QoPjrP1HaG3xhMsU/2T15WKg1xT9iodY07zjFP+oENBE2PMU/c2iR7Xw/xT/LEMe6uI3kPwXFjzF3LeE/+8vuycNCxT/Q1VbsL7vvP4MvTKYKRsU/7zhFR3L56T/nHafoSC7hP61p3nGKjuQ/yXa+nxov4T8Mk6mCUUnFP6vP1VbsL+E/lPYGX5hMxT8dWmQ730/FP6W9wRcmU8U/LSEf9GxWxT+2hHzQs1nFPz7o2az6XMU/x0s3iUFgxT+PwvUoXI/kP0Mc6+I2Gu4/AJF++zpw6D9xGw3gLZDkP+XQItv5fuY/X5hMFYxK6j9Pr5RliGPFP3WTGARWDus/jSjtDb4w4T/XEvJBz2bFPwg9m1Wfq+c/YHZPHhZqxT/o2az6XG3FPxE2PL1Sluk/W0I+6Nms7j9xPQrXo3DFP/mgZ7Pqc8U/gQTFjzF3xT/HKTqSy3/mPwpoImx4esU/b4EExY8x4T9R2ht8YTLhP+LplbIMceg/VHQkl/+Q5D+Sy39Iv33FP+84RUdy+es/MzMzMzMz4T9GJXUCmgjpP+ELk6mCUe8/Gy/dJAaBxT8VjErqBDThPzSitDf4wu4/o5I6AU2ExT/35GGh1jThPyv2l92Th8U/2T15WKg14T9UdCSX/5DqP7RZ9bnaisU/6pWyDHGs5z+8lpAPejbhPzy9UpYhjsU/xSCwcmiRxT/M7snDQq3nP57vp8ZLN+E/TYQNT6+UxT/V52or9pfFP15LyAc9m8U/V+wvuycP6z82zTtO0ZHkPxgmUwWjkuQ/845TdCSX6T/mriXkg57FPzbNO07Rkeo/wTkjSnuD7z+ASL99HTjhP4Za07zjFO8/bxKDwMqhxT/3deCcEaXFP3/ZPXlYqMU/CD2bVZ+rxT+QoPgx5q7FP2Kh1jTvOOE/GQRWDi2yxT8c6+I2GsDtP8x/SL99He4/RPrt68A54T+hZ7Pqc7XFPyZTBaOSOuE/KcsQx7q4xT9a9bnaiv3tPzlFR3L5D+s/CKwcWmQ74T+yLm6jAbzFP+oENBE2POE/zF1LyAc94T86kst/SL/FP8P1KFyPwsU/S1mGONbFxT+utmJ/2T3hP9O84xQdycU/mpmZmZmZ6z9cIEHxY8zFP+SDns2qz8U/bef7qfHSxT/6fmq8dJPkP/VKWYY41sU/kQ96Nqs+4T+qglFJnYDmPxueXinLEOs/c2iR7Xw/4T99rrZif9nFPwYSFD/G3MU/VcGopE5A4T/EQq1p3nHoP6abxCCwcug/jnVxGw3gxT8X2c73U+PFP588LNSa5sU/NxrAWyBB4T8Zc9cS8kHhP6JFtvP91Oo/J6CJsOHpxT/7y+7Jw0LhP7AD54wo7cU/OGdEaW/wxT/ByqFFtvPFP+2ePCzUmu4/3SQGgZVD4T9JLv8h/fbFP799HThnROE/rkfhehSu5z+coiO5/IfsP9GRXP5D+sU/WvW52or9xT8PnDOitDfuP+JYF7fRAMY/arx0kxgExj+7Jw8LtabvP/Mf0m9fB8Y/e4MvTKYKxj8E54wo7Q3GP4xK6gQ0EcY/yjLEsS5u7z+h1jTvOEXhPxSuR+F6FMY/nRGlvcEXxj8ldQKaCBvGP+LplbIMcew/rthfdk8exj82PL1SliHGP4MvTKYKRuE/ZohjXdxG4T++nxov3STGPyh+jLlrCek/RwN4CyQoxj83iUFg5dDuP89m1edqK8Y/iPTb14Fz6D9YyjLEsS7GP+AtkKD4McY/aJHtfD81xj+QoPgx5q7nP4zbaABvgeY/8fRKWYY4xj95WKg1zTvGPwK8BRIUP8Y/RiV1ApoI7T/RkVz+Q/rpP4ofY+5aQsY/EoPAyqFFxj+b5h2n6EjGPyNKe4MvTMY/rK3YX3ZPxj+utmJ/2T3tPzQRNjy9UsY/s+pztRX76T8kufyH9NvrP7x0kxgEVsY/SOF6FK5H4T8qOpLLf0jhP7dif9k9ee4/3NeBc0aU5D8Mk6mCUUnhP2B2Tx4Wau8/lkOLbOf76T9F2PD0SlnGP74wmSoYleQ/zTtO0ZFcxj9Wn6ut2F/GP6CJsOHpleQ/3gIJih9jxj/u68A5I0rhP4Lix5i7luQ/lrIMcayL7z9uNIC3QILmP2ZmZmZmZsY/cvkP6bev5z/vycNCrWnGP3ctIR/0bMY/AJF++zpwxj+I9NvXgXPGP9BE2PD0SuE/EFg5tMh2xj+Zu5aQD3rGP/32deCcEes/sp3vp8ZL4T+U9gZfmEzhP1CNl24Sg+Y/dk8eFmpN4T9miGNd3EbtP2pN845TdOg/IR/0bFZ9xj+qglFJnYDGPzLmriXkg8Y/MuauJeSD5j+6SQwCK4fGPwrXo3A9Cuk/0LNZ9bna7j9YqDXNO07hP0Otad5xisY/yxDHuriNxj87AU2EDU/hP1R0JJf/kMY/OpLLf0i/6z8kKH6MuWvrP9zXgXNGlMY/ZDvfT42Xxj9kO99PjZfkP+2ePCzUmsY/dQKaCBuexj/+ZffkYaHGP0aU9gZfmOQ/hslUwaikxj+u2F92Tx7uP99PjZduEus/Di2yne+nxj+XkA96NqvGP3icoiO5/Ok/QfFjzF1L6j8f9GxWfa7GPyntDb4wmeQ/uECC4seY7z+oV8oyxLHGPzC7Jw8LtcY/HVpkO99P4T+4HoXrUbjGP/+ye/KwUOE/QYLix5i7xj/J5T+k377GP1JJnYAmwsY/KcsQx7q47T8UP8bctYTmP9qs+lxtxcY/AiuHFtnO7z9iEFg5tMjGP+tztRX7y8Y/VFInoImw5z8LRiV1AprkP61p3nGKju4/c9cS8kHPxj/7OnDOiNLGP4SezarP1cY/fPKwUGua6z8MAiuHFtnGP+ELk6mCUeE/lWWIY13cxj8dyeU/pN/GP6UsQxzr4sY/LpCg+DHmxj+28/3UeOnGPz9XW7G/7MY/x7q4jQbwxj9PHhZqTfPGP8NkqmBUUuE/7Z48LNSa5D/Qs1n1udrsP9iBc0aU9sY/pb3BFyZT4T/2l92Th4XmP2Dl0CLb+cY/6Ugu/yH9xj9xrIvbaADHP/kP6bevA8c/1edqK/aX6T+Cc0aU9gbHPwrXo3A9Csc/kzoBTYQNxz8bnl4pyxDHP0ymCkYldeg/2PD0SlmG5j90tRX7y+7tP6MBvAUSFMc/hxbZzvdT4T+uR+F6FK7tPyxlGeJYF8c/WvW52or96T+0yHa+nxrHPz0s1JrmHcc/xY8xdy0hxz+6SQwCK4fmPzxO0ZFc/uk/aW/whclU4T9LyAc9m1XhPz7o2az6XO8/TfOOU3Qkxz+coiO5/IfmP7prCfmgZ+0/1lbsL7snxz9eukkMAivHP+cdp+hILsc/b4EExY8xxz/35GGh1jTHP4BIv30dOMc/CKwcWmQ7xz/sL7snDwvpP89m1edqK+w/kQ96Nqs+xz8Zc9cS8kHHP3/7OnDOiOY/hJ7Nqs/V6j/P91PjpZvkP6HWNO84Rcc/KjqSy39Ixz+yne+nxkvHPzsBTYQNT8c/w2SqYFRSxz9LyAc9m1XHP6OSOgFNhO8/1CtlGeJYxz9cj8L1KFzHP+XyH9JvX8c/sVBrmnec5D9tVn2utmLHP/W52or9Zcc/fh04Z0Rpxz8GgZVDi2zrPwaBlUOLbMc/LSEf9GxW4T+4QILix5jpPzBMpgpGJe8/j+TyH9Jvxz8XSFD8GHPHP5+rrdhfdsc/EHo2qz5X4T8oDwu1pnnHP7ByaJHtfMc/OdbFbTSAxz+TqYJRSZ3kP8E5I0p7g8c/SZ2AJsKGxz91ApoIG57kP1dbsb/snuQ/0gDeAgmKxz/y0k1iEFjhP9QrZRniWOE/WmQ730+Nxz/jx5i7lpDHP7u4jQbwFu4/toR80LNZ4T9rK/aX3ZPHPzarPldbsec/845TdCSXxz+Y3ZOHhVrhP3zysFBrmsc/Lv8h/fZ16D96Nqs+V1vhP1yPwvUoXOE/EFg5tMh26D8EVg4tsp3HP2b35GGh1uo/BhIUP8bc6z8fhetRuB7vPzm0yHa+n+Q/jLlrCfmgxz8VHcnlP6THP52AJsKGp8c/hJ7Nqs/V7j/ysFBrmnfoPz7o2az6XOE/2/l+arx07T8gQfFjzF3hPybkg57Nqsc/rkfhehSuxz8ZBFYOLbLnPzarPldbscc/vw6cM6K0xz9HcvkP6bfHP9DVVuwvu8c/Z9Xnaiv27z9YObTIdr7HP+CcEaW9wcc/aQBvgQTFxz/xY8xdS8jHPwKaCBueXuE/escpOpLLxz8CK4cW2c7HPxsN4C2QoOQ/whcmUwWj7D+KjuTyH9LHP/5l9+RhoeQ/E/JBz2bVxz+bVZ+rrdjHP+C+DpwzouQ/JLn8h/Tbxz+sHFpkO9/HP2FUUiegieY/+1xtxf6y5z/CFyZTBaPkPzSAt0CC4sc/5fIf0m9f4T+94xQdyeXHP8dLN4lBYOE/RUdy+Q/pxz/dtYR80LPnP3BfB84ZUew/zqrP1Vbsxz+kcD0K16PkP8GopE5AE+s/Q61p3nGK5j+/DpwzorTnP1YOLbKd78c/3nGKjuTyxz+amZmZmZnpP86I0t7gC+k/qaROQBNh4T9n1edqK/bHP3zysFBrmuk/7zhFR3L5xz94nKIjufzHP0jhehSuR+0/AAAAAAAAyD8nwoanV8ruP4hjXdxGA8g/q8/VVuwv7z+L/WX35GHhP+jZrPpcbes/dk8eFmpN7z+GyVTBqKTkPxHHuriNBsg//Knx0k1i7D+x4emVsgzpP5kqGJXUCcg/aCJseHql5D9eS8gHPZvpP0p7gy9MpuQ/kzoBTYQN6T8ijnVxGw3IP6rx0k1iEMg/bVZ9rrZi4T8yVTAqqRPIP7u4jQbwFsg/Qxzr4jYayD9Pr5RliGPhPxsN4C2QoO4/MQisHFpk4T/Mf0i/fR3IP1TjpZvEIMg/LNSa5h2n5D/cRgN4CyTIP2WqYFRSJ8g/f/s6cM6I7D/tDb4wmSrIPyUGgZVDi+Y/Di2yne+n5D92cRsN4C3IP/7UeOkmMcg/hjjWxW00yD8PnDOitDfIP5f/kH77Osg/8IXJVMGo5D8gY+5aQj7IPwdfmEwVjOY/qMZLN4lByD8wKqkT0ETIP7mNBvAWSMg/1QloImx46D9B8WPMXUvIP8pUwaikTsg/097gC5Op5D8TYcPTK2XhP6Fns+pztec/UrgehetRyD89CtejcD3sPyUGgZVDi+4/2ht8YTJVyD/1udqK/WXhP2N/2T15WMg/6+I2GsBbyD90RpT2Bl/IP/yp8dJNYsg/hA1Pr5RlyD/pt68D54zmP9cS8kHPZuE/DXGsi9toyD+V1AloImzIPx04Z0Rpb8g/ppvEILByyD8u/yH99nXIP3WTGARWDuk/umsJ+aBn4T+1N/jCZKrkP9GRXP5D+us/nMQgsHJo4T9X7C+7Jw/pP34dOGdEaeE/YHZPHhZq4T+XkA96NqvkP3npJjEIrOQ/t2J/2T15yD+z6nO1FfvrPz/G3LWEfMg/OUVHcvkP6T8JG55eKcvsP0LPZtXnauE/W0I+6Nms5D/LEMe6uI3mP8cpOpLLf8g/JCh+jLlr4T9QjZduEoPIP9jw9EpZhsg/UiegibDh7z/KMsSxLm7rP2wJ+aBns+4/BoGVQ4ts4T9hVFInoInIP+m3rwPnjMg/g8DKoUW25z/gLZCg+DHuP0hQ/Bhz1+o/oBov3SQG7z9xGw3gLZDIPxzr4jYawOs/+n5qvHSTyD+C4seYu5bIPwtGJXUCmsg/k6mCUUmdyD8bDeAtkKDIP6RwPQrXo8g/LNSa5h2nyD/o2az6XG3hP7U3+MJkqsg/t2J/2T156D89m1Wfq63IPz2bVZ+rreQ/JLn8h/Tb7z+tad5xio7mP6+UZYhjXe4/xf6ye/KwyD+Zu5aQD3roP7n8h/Tb1+8/G55eKcsQ6T9OYhBYObTIP9bFbTSAt8g/6Gor9pfd6z/KMsSxLm7hP3sUrkfheug/NxrAWyBB6z9fKcsQx7rIP+eMKO0Nvsg/H/RsVn2u5D8ep+hILv/pP2/whclUwcg/+FPjpZvEyD+At0CC4sfIPwkbnl4py8g/QKTfvg6c6T+Rfvs6cM7IPxniWBe30cg/okW28/3UyD8jSnuDL0zqP5Axdy0hH+4/KqkT0ETYyD+zDHGsi9vIPztwzojS3sg/w9MrZRniyD8i/fZ14JzpP0w3iUFg5cg/rIvbaABv4T/UmuYdp+jIP13+Q/rt68g/5WGh1jTvyD8BTYQNT6/kPxgmUwWjkuo/+n5qvHST6j/99nXgnBHpP/5D+u3rwOs/bcX+snvyyD/2KFyPwvXIP36MuWsJ+cg/j+TyH9Jv4T9xPQrXo3DhP11txf6ye+g/B/AWSFD8yD8/xty1hHzoP1OWIY51ceE/Ne84RUdy4T8XSFD8GHPhP49TdCSX/8g/kQ96Nqs+7T/5oGez6nPhP94CCYofY+w/F7fRAN4CyT+gGi/dJAbJPzm0yHa+n+4/j8L1KFyP5j8ofoy5awnJP7Hh6ZWyDMk/ZRniWBe35z85RUdy+Q/JP8GopE5AE8k/SgwCK4cWyT/Sb18HzhnJP+Olm8QgsOQ/xf6ye/Kw5D/jpZvEILDuP1vTvOMUHck/4zYawFsgyT9rmnecoiPJP7G/7J48LOw/GCZTBaOS7D9xGw3gLZDmP6hXyjLEseQ/VHQkl/+Q5j/0/dR46SbJP0dy+Q/pt+c/pHA9Ctej7D/b+X5qvHThP3xhMlUwKsk/swxxrIvb7D+KsOHplbLkP+VhodY07+4/vVKWIY514T8pyxDHurjnPwXFjzF3Lck/jSjtDb4wyT8VjErqBDTJP5+rrdhfduE/gQTFjzF34T+e76fGSzfJP2Rd3EYDeOE/9wZfmEwV7D8mUwWjkjrJP0a28/3UeOE/bAn5oGez5D/c14FzRpTqPygPC7WmeeE/CyQofoy55z+utmJ/2T3JP+Y/pN++Du4/NxrAWyBByT8hH/RsVn3oPwpoImx4euE/v30dOGdEyT9I4XoUrkfJP9BE2PD0Ssk/WKg1zTtOyT9F2PD0SlnuP+ELk6mCUck/aW/whclUyT9CPujZrPrsP8RCrWnecew/Ns07TtGR5j/y0k1iEFjJP3o2qz5XW8k/ApoIG55eyT+L/WX35GHJPxNhw9MrZck/nMQgsHJoyT8kKH6MuWvJP6yL22gAb8k/TmIQWDm05D+qYFRSJ6DvPzC7Jw8LteQ/Ne84RUdyyT+9UpYhjnXJP+zAOSNKe+E/zhlR2ht84T8SFD/G3LXkPxkEVg4tsu8/Rrbz/dR4yT/0bFZ9rrbkPwRWDi2ynek/zhlR2ht8yT/dJAaBlUPvP7ByaJHtfOE/kst/SL994T9Wfa62Yn/JP9/gC5Opgsk/Z0Rpb/CFyT/mriXkg57pP/Cnxks3ick/eAskKH6MyT90JJf/kH7hP6yL22gAb+s/AG+BBMWPyT/WxW00gLfkP+58PzVeuuc/idLe4AuTyT++MJkqGJXqP7gehetRuOQ/ETY8vVKWyT+amZmZmZnJP5p3nKIjueQ/Vn2utmJ/4T8i/fZ14JzJP33Qs1n1ueQ/KqkT0ETY6j/IBz2bVZ/pP6pgVFInoMk/OdbFbTSA4T9hVFInoInsP0ku/yH99u0/M8SxLm6jyT+7Jw8LtabJPxsv3SQGgeE/XynLEMe65D/9h/Tb14HhP9/gC5OpguE/9GxWfa627j9Ei2zn+6nJP5MYBFYOLew/zO7Jw0KtyT/BOSNKe4PhP1RSJ6CJsMk/3bWEfNCzyT9lGeJYF7fJP6OSOgFNhOE/owG8BRIU6z/ufD81XrrJPxgmUwWjkuY/duCcEaW9yT+F61G4HoXhPxlz1xLyQes/Z0Rpb/CF4T/+Q/rt68DJP4enV8oyxMk/0NVW7C+75z8PC7WmecfJP2EyVTAqqe8/mG4Sg8DKyT8g0m9fB87JP6g1zTtO0ck/MZkqGJXUyT+5/If029fJP0Jg5dAi28k/QYLix5i75D/Kw0Ktad7JP0mdgCbChuE/UiegibDhyT/biv1l9+TJPyv2l92Th+E/Y+5aQj7oyT/sUbgehevJP1K4HoXrUew/dLUV+8vuyT/8GHPXEvLJP4V80LNZ9ck/DeAtkKD4yT/fT42XbhLpPyPb+X5qvOQ/Dk+vlGWI4T8FNBE2PL3kP5ZDi2zn+8k/HqfoSC7/yT+mCkYldQLKPwwCK4cW2eo/L26jAbwFyj+30QDeAgnKPz81XrpJDMo/yJi7lpAPyj+gibDh6ZXqP+tztRX7y+w/UPwYc9cSyj/ZX3ZPHhbKP2HD0ytlGco/6SYxCKwcyj9yio7k8h/KP/rt68A5I8o/g1FJnYAmyj/njCjtDb7kPwu1pnnHKco/kxgEVg4tyj8cfGEyVTDKPyBj7lpCPuw/pN++Dpwzyj/wp8ZLN4nhPy1DHOviNso/guLHmLuW6j9bsb/snjzuP84ZUdobfO8//kP67evA7T/SAN4CCYrhP7WmeccpOso/4JwRpb3B6z+0WfW52orhPz0K16NwPco/xm00gLdAyj/6fmq8dJPmP07RkVz+Q8o/1zTvOEVHyj9fmEwVjErKP0Otad5xiuw/5/up8dJNyj9wXwfOGVHKP/jCZKpgVMo/gSbChqdXyj9Cz2bV52rvPwmKH2PuWso/7MA5I0p77z87cM6I0t7uP5HtfD81Xso/GlHaG3xhyj+qYFRSJ6DpP6K0N/jCZMo/KxiV1Aloyj+dEaW9wRfuP7N78rBQa8o/O99PjZduyj+yLm6jAbznP8RCrWnecco/lrIMcayL4T94CyQofozhP0ymCkYldco/LpCg+DHm7D/VCWgibHjKP1pkO99PjeE/XW3F/rJ7yj+Uh4Va07znP9zXgXNGlOY/yeU/pN++5D/l0CLb+X7KP240gLdAgso/vjCZKhiV5j/2l92Th4XKP3/7OnDOiMo/PL1SliGO4T+WQ4ts5/vrPwdfmEwVjMo/HhZqTfOO4T924JwRpb3nP4/C9Shcj8o/A3gLJCh+6D8YJlMFo5LKP6CJsOHplco/E/JBz2bV7z8p7Q2+MJnKPwAAAAAAAOo/sVBrmnecyj9PQBNhw9PtPzm0yHa+n8o/whcmUwWjyj+rPldbsb/kP0w3iUFg5e4/AG+BBMWP4T+gibDh6ZXmP0p7gy9Mpso/waikTkAT6T+Nl24Sg8DkPwK8BRIUP+w/48eYu5aQ4T9v8IXJVMHkP9Pe4AuTqco/W0I+6Nmsyj/jpZvEILDKP6OSOgFNhO0/KjqSy39I7T9sCfmgZ7PKP/RsVn2utso/w/UoXI/C6z9SSZ2AJsLkPzSitDf4wuQ/fdCzWfW5yj/XNO84RUfuP8UgsHJokeE/BTQRNjy9yj+Nl24Sg8DKP4Lix5i7luY/FvvL7snDyj+eXinLEMfKP6d5xyk6kuE/J8KGp1fKyj+vJeSDns3KPzeJQWDl0Mo/WDm0yHa+5z/A7J48LNTKP0hQ/Bhz18o/idLe4AuT4T9rK/aX3ZPhP2Q730+Nl+Y/TYQNT6+U4T8v3SQGgZXhP6MBvAUSFOk/RpT2Bl+Y5j/Qs1n1udrKP1kXt9EA3so/ETY8vVKW4T/hehSuR+HKP2recYqO5Mo/8kHPZtXnyj9kO99PjZfqP3qlLEMc68o/AwmKH2Puyj/l0CLb+X7oP/OOU3Qkl+E/xY8xdy0h7z+LbOf7qfHKPxTQRNjw9Mo/nDOitDf4yj8kl/+QfvvKP636XG3F/so/NV66SQwCyz++wRcmUwXLPyntDb4wmeY/RiV1ApoIyz/OiNLe4AvLPwtGJXUCmuY/V+wvuycPyz+IY13cRgPuP99PjZduEss/aLPqc7UVyz+mm8QgsHLsP/AWSFD8GMs/eHqlLEMcyz+GWtO84xTrP9Xnaiv2l+E/uECC4seY4T+amZmZmZnhP8cpOpLLf+g/1lbsL7sn7T988rBQa5rhP/5D+u3rwO8/XkvIBz2b4T8B3gIJih/LP4lBYOXQIss/EqW9wRcmyz9ApN++DpzhPyL99nXgnOE/mggbnl4pyz8ibHh6pSzLPwRWDi2yneE/q8/VVuwvyz96Nqs+V1vtPzMzMzMzM8s/vJaQD3o2yz9E+u3rwDnLP+auJeSDnuE/hlrTvOMU6T/MXUvIBz3LP8gHPZtVn+E/VcGopE5Ayz/dJAaBlUPLP6pgVFInoOE/ZohjXdxGyz/u68A5I0rLP+5aQj7o2eo/dk8eFmpNyz//snvysFDLP4cW2c73U8s/qoJRSZ2A6D8QejarPlfLP5jdk4eFWss/IEHxY8xdyz+ppE5AE2HLPzEIrBxaZMs/jLlrCfmg4T+6awn5oGfLPxb7y+7Jw+Q/bxKDwMqh4T9Cz2bV52rLP8oyxLEubss/U5YhjnVxyz/b+X5qvHTLP2Rd3EYDeMs/dnEbDeAt7D/swDkjSnvLP3Qkl/+Qfss//Yf029eByz+F61G4HoXtP4XrUbgehcs/RpT2Bl+Y6j9Ra5p3nKLhP2iz6nO1Fek/Dk+vlGWIyz+WsgxxrIvLP2lv8IXJVO0/jNtoAG+B6D/6fmq8dJPsPzqSy39Iv+c/pU5AE2HD7T8eFmpN847LP+JYF7fRAOo/p3nHKTqSyz8zxLEubqPhP1Z9rrZif+0/+FPjpZvE5D8v3SQGgZXLP7hAguLHmMs/2qz6XG3F5D8VHcnlP6ThP0Ck374OnMs/yAc9m1Wfyz+8BRIUP8bkP/d14JwRpeE/UWuad5yiyz9BguLHmLvsP9nO91Pjpcs/YTJVMCqpyz/qlbIMcazLP3L5D+m3r8s/+1xtxf6yyz+DwMqhRbbLP4xK6gQ0Ee4/nl4pyxDH5D/ZzvdT46XhP/vL7snDQus/uycPC7Wm4T8LJCh+jLnLP5SHhVrTvMs/HOviNhrAyz+lTkATYcPLP9lfdk8eFuw/LbKd76fGyz/tnjws1JrmP4C3QILix+Q/tRX7y+7Jyz+dgCbChqftPz55WKg1zcs/nYAmwoan4T9/2T15WKjhP2IQWDm0yOQ/YTJVMCqp4T/G3LWEfNDLP4y5awn5oOk/I9v5fmq87D8c6+I2GsDnP240gLdAgug/T0ATYcPTyz/Xo3A9CtfLP0SLbOf7qeE/XwfOGVHayz+Hp1fKMsTtP0Rpb/CFyeQ/6Gor9pfdyz8nwoanV8rkP3DOiNLe4Ms/JuSDns2q4T+lLEMc6+LuP/kx5q4l5Ms/gZVDi2znyz8J+aBns+rLP5Jc/kP67cs/CD2bVZ+r4T/qlbIMcazhPznWxW00gO0/GsBbIEHxyz+jI7n8h/TLPyuHFtnO98s/z/dT46Wb5j/M7snDQq3hP7Pqc7UV+8s/5BQdyeU/7D88TtGRXP7LP8SxLm6jAcw/zojS3uAL7z/EsS5uowHqP9CzWfW52uo/DJOpglFJ7T+I9NvXgXPsP6YKRiV1Auo/rkfhehSu4T+zDHGsi9vqP00VjErqBMw/kKD4Meau4T/VeOkmMQjMP13cRgN4C8w/cvkP6bev4T+xUGuad5zmP5m7lpAPeu4/aLPqc7UV6z9UUiegibDhP68l5IOeze4/CRueXinL5D8xmSoYldTtP40o7Q2+MO8/5j+k374OzD851sVtNIDvP26jAbwFEsw/9wZfmEwVzD+TqYJRSZ3mP39qvHSTGMw/Nqs+V1ux4T8HzhlR2hvMPxkEVg4tsuE/VcGopE5A7z/7XG3F/rLhP/5D+u3rwOc/kDF3LSEfzD91ApoIG57mPySX/5B+++w/UI2XbhKD6D/rc7UV+8vkPxiV1AloIsw/ofgx5q4lzD8pXI/C9SjMP7G/7J48LMw/OiNKe4MvzD/ChqdXyjLMP0vqBDQRNsw/24r9Zffk7T/TTWIQWDnMP1uxv+yePMw/4JwRpb3B5z/kFB3J5T/MP2x4eqUsQ8w/9dvXgXNGzD99PzVeuknMP6VOQBNhw+s/c9cS8kHP7j/D9Shcj8LnP6VOQBNhw+c/BaOSOgFNzD+OBvAWSFDMPxZqTfOOU8w/SgwCK4cW6T9XW7G/7J7mPzm0yHa+n+Y/n82qz9VWzD/dtYR80LPhP+7rwDkjSu0/bxKDwMqh6T8nMQisHFrMP83MzMzMzOQ/vw6cM6K04T+vlGWIY13MP1Frmnecouk/OPjCZKpgzD8bDeAtkKDmP8BbIEHxY8w/SL99HThnzD/RItv5fmrMP4enV8oyxOc/WYY41sVtzD+hZ7Pqc7XhP4bJVMGopOw/4umVsgxxzD9qTfOOU3TMP/KwUGuad8w/aQBvgQTF5z97FK5H4XrMP4PAyqFFtuE/S1mGONbF5z8g0m9fB87vP2UZ4lgXt+E/A3gLJCh+zD+P5PIf0m/rP4zbaABvgcw/FD/G3LWEzD+coiO5/IfMPxKDwMqhRe4/JQaBlUOLzD8tsp3vp8bnP0dy+Q/pt+E/Dwu1pnnH5z8p7Q2+MJnqPynLEMe6uOE/lWWIY13c6j8LJCh+jLnhP61p3nGKjsw//mX35GGh5j82zTtO0ZHMP74wmSoYlcw/RpT2Bl+YzD/P91PjpZvMPzLmriXkg+g/V1uxv+yezD/gvg6cM6LMP2gibHh6pcw/8IXJVMGozD+WIY51cRvvP68l5IOezeQ/eekmMQiszD8BTYQNT6/MP+PHmLuWkO8/irDh6ZWyzD8SFD/G3LXMP5p3nKIjucw/I9v5fmq8zD+Rfvs6cM7kP+C+DpwzouY/7nw/NV664T+rPldbsb/MP9DVVuwvu+E/si5uowG84T9eS8gHPZvrPzSitDf4wsw/8WPMXUvI5z9z1xLyQc/kPxrAWyBB8e8/vAUSFD/GzD+Uh4Va07zhP0Rpb/CFycw/HcnlP6Tf7j/NzMzMzMzMP1UwKqkT0OQ/VTAqqRPQzD/ek4eFWtPMP2dEaW/whe0/cT0K16Nw6z9m9+RhodbMP8BbIEHxY+w/7lpCPujZzD93vp8aL93MP/8h/fZ14Mw/iGNd3EYD6j+IhVrTvOPMPxDpt68D58w/KcsQx7q47z+YTBWMSurMP02EDU+vlO0/whcmUwWj5j83iUFg5dDkPyGwcmiR7cw/qRPQRNjwzD8ydy0hH/TMP7raiv1l98w/pHA9Ctej5j+cxCCwcmjtP0I+6Nms+sw/duCcEaW94T+GyVTBqKTmP8uhRbbz/cw/GeJYF7fR5D/7OnDOiNLkP1g5tMh2vuE/3pOHhVrT5D8zxLEubqPpPyL99nXgnO8/OpLLf0i/4T/A7J48LNTkPxQ/xty1hOg/UwWjkjoBzT8N4C2QoPjvP6JFtvP91OQ/hJ7Nqs/V5D8sZRniWBfpPxzr4jYawOE/U5YhjnVx6z/caABvgQTNP2b35GGh1uQ/ZMxdS8gHzT9qvHSTGATqP+wvuycPC80/SFD8GHPX5D/+Q/rt68DhP90kBoGVQ+s/dZMYBFYOzT/99nXgnBHNP0oMAiuHFus/s+pztRX77z+GWtO84xTNPw6+MJkqGM0/KqkT0ETY5D817zhFR3LrP00VjErqBOo/4JwRpb3B4T/D9Shcj8LhP6VOQBNhw+E/liGOdXEbzT9oImx4eqXmPx+F61G4Hs0/p+hILv8hzT8LRiV1AprqP799HThnROs/h6dXyjLE4T8wTKYKRiXNP7ivA+eMKM0/aQBvgQTF4T9LWYY41sXhPwwCK4cW2eQ/QBNhw9MrzT/Jdr6fGi/NP1HaG3xhMs0/2T15WKg1zT9iodY07zjNPy2yne+nxuE/Dwu1pnnH4T/qBDQRNjzNP+5aQj7o2eQ/c2iR7Xw/zT/7y+7Jw0LNP4MvTKYKRs0/DJOpglFJzT9kO99PjZfuP9CzWfW52uQ/lPYGX5hMzT/xY8xdS8jhP9O84xQdyec/K4cW2c737T/Kw0Ktad7rPx1aZDvfT80/swxxrIvb5D/TvOMUHcnhP8KGp1fKMu4/tRX7y+7J4T+lvcEXJlPNPy0hH/RsVs0/toR80LNZzT/99nXgnBHvP5huEoPAyuE/PujZrPpczT9YqDXNO07vP3rHKTqSy+E/x0s3iUFgzT9Pr5RliGPNP5VliGNd3OQ/1xLyQc9mzT9gdk8eFmrNP+jZrPpcbc0/cT0K16NwzT/5oGez6nPNP4EExY8xd80/CmgibHh6zT93vp8aL93kP5LLf0i/fc0/L26jAbwF6j9Ke4MvTKbmP1wgQfFjzOE/Gy/dJAaBzT+jkjoBTYTNPyv2l92Th80/tFn1udqKzT88vVKWIY7NP7UV+8vuyec/xSCwcmiRzT8+eVioNc3hP02EDU+vlM0/1edqK/aXzT9eS8gHPZvNP+auJeSDns0/escpOpLL7T9vEoPAyqHNPw5Pr5RliO8/93XgnBGlzT9ZF7fRAN7kP71SliGOde0/idLe4AuT7z9/2T15WKjNPztwzojS3uQ/EOm3rwPn7D8IPZtVn6vNP3KKjuTyH+4/kKD4MeauzT8ZBFYOLbLNP9zXgXNGlO4/INJvXwfO4T+hZ7Pqc7XNPynLEMe6uM0/X5hMFYxK7j+U9gZfmEzvP5huEoPAyuc/si5uowG8zT86kst/SL/NP8P1KFyPws0/S1mGONbFzT9oImx4eqXsP9O84xQdyc0/XCBB8WPMzT96xyk6ksvnP+SDns2qz80/bef7qfHSzT+sHFpkO9/rP/VKWYY41s0/Ece6uI0G6j99rrZif9nNP1wgQfFjzOc/AiuHFtnO4T8s1JrmHafmPw6+MJkqGOk/n6ut2F927T8GEhQ/xtzNPx3J5T+k3+Q/BaOSOgFN6j9O0ZFc/kPuP+SDns2qz+E/jnVxGw3gzT8X2c73U+PNP588LNSa5s0/xty1hHzQ4T8noImw4enNP7AD54wo7c0/Dr4wmSoY7T84Z0Rpb/DNP49TdCSX/+4/PnlYqDXN5z/ByqFFtvPNP0ku/yH99s0/Di2yne+n5j+oNc07TtHhP9GRXP5D+s0/io7k8h/S4T9a9bnaiv3NP/Mf0m9fB+o/xm00gLdA7D/8qfHSTWLuP+JYF7fRAM4/jnVxGw3g6z/wFkhQ/BjpP2q8dJMYBM4/8x/Sb18Hzj9ApN++DpztP23n+6nx0uE/8IXJVMGo5j97gy9MpgrOPwTnjCjtDc4/jErqBDQRzj93vp8aL93qP09AE2HD0+E/MZkqGJXU4T8T8kHPZtXhPxSuR+F6FM4/h6dXyjLE6z/1SlmGONbhP50Rpb3BF84/JXUCmggbzj//If32deDkP67YX3ZPHs4/p3nHKTqS7T82PL1SliHOP+F6FK5H4eQ/16NwPQrX4T/Sb18HzhnpP76fGi/dJM4/ufyH9NvX4T9HA3gLJCjOP89m1edqK84/WMoyxLEuzj/VeOkmMQjqP1yPwvUoXO8/4C2QoPgxzj9oke18PzXOP8PTK2UZ4uQ/FR3J5T+k6T/ByqFFtvPvP/aX3ZOHheg/8fRKWYY4zj+bVZ+rrdjhP3lYqDXNO84/ArwFEhQ/zj8g0m9fB87nP5zEILByaO8/fa62Yn/Z4T+KH2PuWkLOPxKDwMqhRc4/XwfOGVHa4T+b5h2n6EjOPxe30QDeAu8/I0p7gy9Mzj8CK4cW2c7nP5VliGNd3O4/097gC5Op5j9+HThnRGntP6yt2F92T84/7Z48LNSa6j80ETY8vVLOP2kAb4EExe0/vHSTGARWzj8XSFD8GHPrP0XY8PRKWc4/pSxDHOvi5D9CYOXQItvhPwRWDi2yne8/BcWPMXct7z+1N/jCZKrmP6HWNO84Res/zTtO0ZFczj8kufyH9NvhP5eQD3o2q+Y/0ETY8PRK7T9Wn6ut2F/OP4iFWtO84+Q/BhIUP8bc4T/eAgmKH2POP2ZmZmZmZs4/78nDQq1pzj/oaiv2l93hP3ctIR/0bM4/ysNCrWne4T8AkX77OnDOPzPEsS5uo+8/iPTb14Fzzj+sHFpkO9/hP451cRsN4OE/eekmMQis5j9wzojS3uDhP+F6FK5H4e4/EFg5tMh2zj9cj8L1KFztP2recYqO5OQ/mbuWkA96zj8hH/RsVn3OP6qCUUmdgM4/WRe30QDe6j9SJ6CJsOHhP7TIdr6fGuk//Yf029eB7z/WVuwvuyfvPzLmriXkg84/ukkMAiuHzj9DrWnecYrOP8sQx7q4jc4/ofgx5q4l7j9UdCSX/5DOP9zXgXNGlM4/93XgnBGl6T9MN4lBYOXkP2Q730+Nl84/+aBns+pz6z9vgQTFjzHvPy6QoPgx5uQ/7Z48LNSazj80gLdAguLhP3UCmggbns4//mX35GGhzj+GyVTBqKTOP4zbaABvge4/2c73U+Ol6T9bQj7o2azmPw4tsp3vp84/l5APejarzj+DL0ymCkbrP6VOQBNhw+8/H/RsVn2uzj8X2c73U+PhP+f7qfHSTeo/OUVHcvkP7T+oV8oyxLHOPwfwFkhQ/Ow/MLsnDwu1zj+4HoXrUbjOP0GC4seYu84/+THmriXk4T/biv1l9+ThP8nlP6Tfvs4/veMUHcnl4T/c14FzRpTsP1JJnYAmws4/2qz6XG3Fzj9iEFg5tMjOPxDpt68D5+Q/63O1FfvLzj+ze/KwUGvuP7snDwu1puk/c9cS8kHPzj/7OnDOiNLOPwFNhA1Pr+w/hJ7Nqs/Vzj8MAiuHFtnOP/JBz2bV5+Q/nzws1Jrm4T+VZYhjXdzOP7fRAN4CCeo/HcnlP6Tfzj+lLEMc6+LOP6jGSzeJQew/TRWMSuoE7j8ukKD4MebOP7bz/dR46c4/P1dbsb/szj/UmuYdp+jkP8e6uI0G8M4/L90kBoGV7T9PHhZqTfPOP7bz/dR46eQ/mEwVjErq5D/YgXNGlPbOP3rHKTqSy+8/YOXQItv5zj/rc7UV+8vuP+lILv8h/c4/cayL22gAzz9CYOXQItvvP/kP6bevA88/ylTBqKRO6j9ApN++DpzrP4JzRpT2Bs8/CtejcD0Kzz96pSxDHOvkP+SDns2qz+c/lWWIY13c7D8r9pfdk4fvP5M6AU2EDc8/G55eKcsQzz+BlUOLbOfhP6MBvAUSFM8/LGUZ4lgXzz+dgCbChqfpP7TIdr6fGs8/PSzUmuYdzz/FjzF3LSHPP03zjlN0JM8/rK3YX3ZP6j9j7lpCPujhP13+Q/rt6+Q/RUdy+Q/p4T89m1Wfq63mPyegibDh6eE/1lbsL7snzz8J+aBns+rhP166SQwCK88/H/RsVn2u5j8+eVioNc3vP+cdp+hILs8/O3DOiNLe6j9vgQTFjzHPP/fkYaHWNM8/gEi/fR04zz8IrBxaZDvPP5EPejarPs8/GXPXEvJBzz+h1jTvOEXPP+xRuB6F6+E/jgbwFkhQ6j/Y8PRKWYboP4/k8h/Sb+0/gQTFjzF37T+6SQwCK4foP3/ZPXlYqOk/l5APejar7j8qOpLLf0jPP8bctYR80Oc/zqrP1Vbs4T9cIEHxY8ztP7Kd76fGS88/sAPnjCjt4T9kXdxGA3jtPwFNhA1Pr+Y/OwFNhA1Pzz9miGNd3EbrPwaBlUOLbO8/w2SqYFRSzz9LyAc9m1XPP9QrZRniWM8/klz+Q/rt4T9cj8L1KFzPP3icoiO5/Os/5fIf0m9fzz8/V1uxv+zkP3S1FfvL7uE/IbByaJHt5D9tVn2utmLPP3e+nxov3ew/07zjFB3J7z/1udqK/WXPP34dOGdEac8/BoGVQ4tszz+P5PIf0m/PPxdIUPwYc88/AwmKH2Pu5D+fq63YX3bPPygPC7Wmec8/sHJoke18zz851sVtNIDPP8E5I0p7g88/nKIjufyH6D9JnYAmwobPP+VhodY07+Q/0gDeAgmKzz9wXwfOGVHqP8/3U+Olm+o/WmQ730+Nzz/jx5i7lpDPPx3J5T+k3+o/Vg4tsp3v4T9rK/aX3ZPPP/OOU3Qkl88/UrgehetR6j84Z0Rpb/DhP3zysFBrms8/BFYOLbKdzz+MuWsJ+aDPP3/7OnDOiOg/liGOdXEb6T8awFsgQfHhPxUdyeU/pM8/nYAmwoanzz9hVFInoInoPybkg57Nqs8/rkfhehSuzz82qz5XW7HPP78OnDOitM8/WMoyxLEu7D9HcvkP6bfPP+Olm8QgsOY/Q61p3nGK6D/Q1VbsL7vPP4V80LNZ9e8/x7q4jQbw5D/F/rJ78rDmP/wYc9cS8uE/JQaBlUOL6D+oNc07TtHnP/d14JwRpe8/WDm0yHa+zz/gnBGlvcHPP2kAb4EExc8/8WPMXUvIzz+7uI0G8BbsPwrXo3A9Cu8/3nGKjuTy4T+xUGuad5zqP6hXyjLEseY/escpOpLLzz8CK4cW2c7PP4qO5PIf0s8/E/JBz2bVzz+bVZ+rrdjPPyS5/If0288/rBxaZDvfzz+TqYJRSZ3qPzQRNjy9Uuo/f9k9eVio7T80gLdAguLPP8HKoUW28+E/veMUHcnlzz91ApoIG57qP3h6pSxDHOk/B1+YTBWM6D+pE9BE2PDkP6MjufyH9OE//yH99nXg6j9FR3L5D+nPP4V80LNZ9eE/WRe30QDe7D+KsOHplbLmP86qz9VW7M8/io7k8h/S5z9WDi2yne/PPyxlGeJYF+s/3nGKjuTyzz/arPpcbcXuP2fV52or9s8/7zhFR3L5zz94nKIjufzPPwAAAAAAANA/Z9Xnaiv24T/EsS5uowHQP4hjXdxGA9A/i2zn+6nx5D9NFYxK6gTQP23F/rJ78uQ/Ece6uI0G0D9b07zjFB3pP23n+6nx0uc/Tx4Wak3z5D9JLv8h/fbhP3DOiNLe4Os/1XjpJjEI0D+ZKhiV1AnQPyL99nXgnOs/bAn5oGez5j9d3EYDeAvQPyKOdXEbDdA/K4cW2c734T86I0p7gy/sP2EyVTAqqek/MnctIR/05D/mP6Tfvg7QP6rx0k1iENA/bqMBvAUS0D/pSC7/If3sPzJVMCqpE9A/FNBE2PD05D/3Bl+YTBXQP7u4jQbwFtA/f2q8dJMY0D9DHOviNhrQP09AE2HD0+c/B84ZUdob0D/Mf0i/fR3QP/YoXI/C9eQ/mSoYldQJ6j+QMXctIR/QP1TjpZvEINA/GJXUCWgi0D97gy9MpgrqPw3gLZCg+OE/3EYDeAsk0D+h+DHmriXQPxUdyeU/pO8/ZapgVFIn0D8pXI/C9SjQPwskKH6Mue8/WMoyxLEu7j/tDb4wmSrQP9iBc0aU9uQ/sb/snjws0D/hehSuR+HqP08eFmpN8+w/TmIQWDm05j/1udqK/WXvP7raiv1l9+Q/dnEbDeAt0D8gQfFjzF3vP9xoAG+BBO8/MnctIR/07D86I0p7gy/QP5wzorQ3+OQ/BFYOLbKd6z/+1HjpJjHQP0jhehSuR+s/7zhFR3L54T9+jLlrCfnkP8KGp1fKMtA/hjjWxW000D9L6gQ0ETbQP9k9eVioNe0/D5wzorQ30D/TTWIQWDnQP9GRXP5D+uE/l/+Qfvs60D+KH2PuWkLsPxZqTfOOU+o/W7G/7J480D8gY+5aQj7QP+QUHcnlP9A/RIts5/up6T9d3EYDeAvqP6jGSzeJQdA/bHh6pSxD0D8wKqkT0ETQP/Xb14FzRtA/uY0G8BZI0D99PzVeuknQP0HxY8xdS9A/BaOSOgFN0D/KVMGopE7QP7Pqc7UV++E/jgbwFkhQ0D9SuB6F61HQP1dbsb/snuo/MLsnDwu15j8/NV66SQzqP2Dl0CLb+eQ/L26jAbwF7j/pt68D54zoPxZqTfOOU9A/2ht8YTJV0D+WQ4ts5/vhP5/Nqs/VVtA/Y3/ZPXlY0D8Z4lgXt9HuPycxCKwcWtA/yxDHuriN6D94nKIjufzhP+viNhrAW9A/r5RliGNd0D90RpT2Bl/QP1r1udqK/eE/OPjCZKpg0D/8qfHSTWLQP8BbIEHxY9A/Io51cRsN6j+EDU+vlGXQP9v5fmq8dOs/MZkqGJXU5z88TtGRXP7hP0i/fR04Z9A/DXGsi9to0D8ep+hILv/hP9Ei2/l+atA/ldQJaCJs0D8SFD/G3LXmP6g1zTtO0e8/9GxWfa625j9ZhjjWxW3QPx04Z0Rpb9A/4umVsgxx0D8E54wo7Q3qPwAAAAAAAOI/5j+k374O6j+mm8QgsHLQP61p3nGKjug/ak3zjlN00D8u/yH99nXQP/KwUGuad9A/bHh6pSxD7D8T8kHPZtXnPz9XW7G/7O4/t2J/2T150D97FK5H4XrQPz/G3LWEfNA/j8L1KFyP6D+fzarP1VbuPwN4CyQoftA/4lgXt9EA4j/HKTqSy3/QP4zbaABvgdA/UI2XbhKD0D8UP8bctYTQP9jw9EpZhtA/nKIjufyH0D9hVFInoInQP0I+6Nms+uQ/1sVtNIC35j8lBoGVQ4vQP7gehetRuOY/6bevA+eM0D+dEaW9wRfsP8SxLm6jAeI/rWnecYqO0D9xGw3gLZDQP5p3nKIjueY/pgpGJXUC4j8m5IOezarpP+wvuycPC+8/Ns07TtGR0D/6fmq8dJPQP74wmSoYldA/guLHmLuW0D+IY13cRgPiP2q8dJMYBOI/JJf/kH775D/Y8PRKWYbuP0aU9gZfmNA/C0YldQKa0D/4wmSqYFTqP9BE2PD0Su8/TRWMSuoE4j8H8BZIUPzkP8/3U+Olm9A/AiuHFtnO7T/ImLuWkA/qP5OpglFJndA/V1uxv+ye0D8vbqMBvAXiP+lILv8h/eQ/Gw3gLZCg0D8Rx7q4jQbiP8uhRbbz/eQ/9UpZhjjW5z/gvg6cM6LQP/Mf0m9fB+I/16NwPQrX5z+kcD0K16PQP9V46SYxCOI/aCJseHql0D8s1JrmHafQP/CFyVTBqNA/vjCZKhiV7D+30QDeAgniP7U3+MJkqtA/mSoYldQJ4j956SYxCKzQP3/ZPXlYqO8/rfpcbcX+5D97gy9MpgriPz2bVZ+rrdA/BTQRNjy97D8BTYQNT6/QP8X+snvysNA/irDh6ZWy0D9OYhBYObTQPxIUP8bctdA/j1N0JJf/5D/WxW00gLfQP5p3nKIjudA/XynLEMe60D/D0ytlGeLqPwg9m1Wfq+k/I9v5fmq80D/njCjtDb7QP6s+V1uxv9A/b/CFyVTB0D80orQ3+MLQP0p7gy9Mpuw/+FPjpZvE0D+8BRIUP8bQP7n8h/Tb1+c/gLdAguLH0D8RNjy9UpbtP0Rpb/CFydA/CRueXinL0D9d3EYDeAviP83MzMzMzNA/kX77OnDO0D990LNZ9bnmP1UwKqkT0NA/GeJYF7fR0D/ek4eFWtPQP+qVsgxxrOk/okW28/3U0D8/NV66SQziPxSuR+F6FO4/PujZrPpc7T+bVZ+rrdjnP6rx0k1iEOo/ZvfkYaHW0D89LNSa5h3pPyqpE9BE2NA/7lpCPujZ0D+zDHGsi9vQPyKOdXEbDeI/d76fGi/d0D+30QDeAgnuPwAAAAAAAPA/fa62Yn/Z5z9xrIvbaADlP1MFo5I6AeU/MZkqGJXU7z81XrpJDALlP18HzhlR2uc/XynLEMe65j87cM6I0t7QP/8h/fZ14NA/BOeMKO0N4j/Kw0Ktad7vP8PTK2UZ4tA/iIVa07zj0D/mP6Tfvg7iP0w3iUFg5dA/EOm3rwPn0D/UmuYdp+jQP8iYu5aQD+I/mEwVjErq0D9d/kP67evQPyGwcmiR7dA/F7fRAN4C5T8IPZtVn6vvP/kP6bevA+U/5WGh1jTv0D+pE9BE2PDQP23F/rJ78tA/H4XrUbge6T8i/fZ14JztPzJ3LSEf9NA/9ihcj8L10D+4rwPnjCjtP6rx0k1iEOI/utqK/WX30D9+jLlrCfnQP8zuycNCrek/Qj7o2az60D+MSuoENBHiP71SliGOdes/B/AWSFD80D9uowG8BRLiP8uhRbbz/dA/3GgAb4EE5T9BguLHmLvmP1D8GHPXEuI/aQBvgQTF6z8yVTAqqRPiPyPb+X5qvOY/BTQRNjy95j/njCjtDb7mP7prCfmgZ+8/j1N0JJf/0D9TBaOSOgHRPxe30QDeAtE/3GgAb4EE0T+gGi/dJAbRP3EbDeAtkOg/ZMxdS8gH0T8ofoy5awnRP+wvuycPC9E/seHplbIM0T91kxgEVg7RP+eMKO0Nvuw/OUVHcvkP0T/99nXgnBHRP8GopE5AE9E/hlrTvOMU0T9KDAIrhxbRPw6+MJkqGNE/FK5H4XoU4j/Sb18HzhnRP8nlP6TfvuY/liGOdXEb0T9b07zjFB3RPx+F61G4HtE/4zYawFsg0T+n6Egu/yHRP2uad5yiI9E/xm00gLdA7j8wTKYKRiXRP9obfGEyVeo/9wZfmEwV4j/0/dR46SbRP7ivA+eMKNE/fGEyVTAq0T/ZX3ZPHhbiP+auJeSDnus/u7iNBvAW4j9AE2HD0yvRPwXFjzF3LdE/pSxDHOvi6j+dEaW9wRfiP39qvHSTGOI/yXa+nxov0T+NKO0NvjDRP77BFyZTBeU/vHSTGARW6j9R2ht8YTLRPyo6kst/SOs/FYxK6gQ00T+x4emVsgzvP2HD0ytlGeI/2T15WKg10T+rPldbsb/mP57vp8ZLN9E/YqHWNO840T8mUwWjkjrRP+oENBE2PNE/rrZif9k90T9zaJHtfD/RPzcawFsgQdE/Qxzr4jYa4j+MSuoENBHqP6AaL90kBuU/+8vuycNC0T8xCKwcWmTtPyV1ApoIG+I/B84ZUdob4j+/fR04Z0TRP4MvTKYKRtE/f2q8dJMY7D/jNhrAWyDtP0YldQKaCO8/QmDl0CLb5z9UdCSX/5DoP0jhehSuR9E/DJOpglFJ0T/pJjEIrBziP8x/SL99HeI/0ETY8PRK0T8kufyH9NvnP5T2Bl+YTNE/ObTIdr6f6j8N4C2QoPjtP1ioNc07TtE/HVpkO99P0T/hC5OpglHRP67YX3ZPHuI/pb3BFyZT0T8OvjCZKhjrP2lv8IXJVNE/kDF3LSEf4j9yio7k8h/iPy0hH/RsVtE/8tJNYhBY0T9U46WbxCDiP7aEfNCzWdE/ejarPldb0T8+6Nms+lzRPzY8vVKWIeI/54wo7Q2+7j8Cmggbnl7RPxiV1AloIuI/n82qz9VW6j+Nl24Sg8DmP26jAbwFEuo/y6FFtvP97D+Cc0aU9gblPzQRNjy9Uuw/x0s3iUFg0T+L/WX35GHRP0+vlGWIY9E/G55eKcsQ7T8B3gIJih/pPxNhw9MrZdE/1xLyQc9m0T8GEhQ/xtznP5zEILByaNE/YHZPHhZq0T8kKH6MuWvRP2TMXUvIB+U/6Nms+lxt0T+si9toAG/RP3E9CtejcNE/UPwYc9cS6j817zhFR3LRP8gHPZtVn+s/+aBns+pz0T+9UpYhjnXRP+84RUdy+e0/gQTFjzF30T9v8IXJVMHmP4iFWtO84+o/Rrbz/dR40T8KaCJseHrRP/rt68A5I+I/6Gor9pfd5z/jNhrAWyDpP0YldQKaCOU/zhlR2ht80T/cRgN4CyTiP5LLf0i/fdE/XCBB8WPM7z/Kw0Ktad7nP1Z9rrZif9E/Gy/dJAaB0T/f4AuTqYLRPyh+jLlrCeU/o5I6AU2E0T9SSZ2AJsLmP2FUUiegie4/vp8aL90k4j+sHFpkO9/nP2dEaW/whdE/K/aX3ZOH0T80orQ3+MLmPwrXo3A9CuU/7C+7Jw8L5T/wp8ZLN4nRP588LNSa5u8/ofgx5q4l4j+0WfW52orRP86I0t7gC+U/eAskKH6M0T88vVKWIY7RP4NRSZ2AJuI/ZapgVFIn4j9a9bnaiv3rP0cDeAskKOI/8BZIUPwY6z8Ab4EExY/RP8UgsHJokdE/idLe4AuT0T9NhA1Pr5TRPylcj8L1KOI/ETY8vVKW0T/V52or9pfRPwyTqYJRSes/ke18PzVe7j/FjzF3LSHpPwu1pnnHKeI/mpmZmZmZ0T82zTtO0ZHoP15LyAc9m9E/Iv32deCc0T9R2ht8YTLvP+auJeSDntE/qmBUUieg0T9vEoPAyqHRPxgmUwWjkug/M8SxLm6j0T/3deCcEaXRP7Hh6ZWyDOU/uycPC7Wm0T9/2T15WKjRP2pN845TdOw/RIts5/up0T8IPZtVn6vRP+0NvjCZKuI/z2bV52or4j8W+8vuycPmP451cRsN4Oc/sb/snjws4j/4U+Olm8TmP5MYBFYOLeI/dnEbDeAt4j/M7snDQq3RP3DOiNLe4Oc/UiegibDh5z+QoPgx5q7RP6foSC7/Iek/VFInoImw0T/6fmq8dJPoP1jKMsSxLuI/GQRWDi2y0T/dtYR80LPRP6Fns+pztdE/ZRniWBe30T8pyxDHurjRP+58PzVeutE/si5uowG80T/arPpcbcXmP3bgnBGlvdE/EHo2qz5X7z86kst/SL/RP/5D+u3rwNE/vAUSFD/G5j+BJsKGp1fqPzxO0ZFc/us/HqfoSC7/6z80gLdAguLnPzojSnuDL+I/HHxhMlUw4j+TOgFNhA3lP8P1KFyPwtE/h6dXyjLE0T/c14FzRpToP0tZhjjWxdE/nl4pyxDH5j8PC7WmecfRP9O84xQdydE/mG4Sg8DK0T9cIEHxY8zRPyDSb18HztE/5IOezarP0T+oNc07TtHRP23n+6nx0tE/MZkqGJXU0T+At0CC4sfmP/VKWYY41tE/ufyH9NvX0T/+1HjpJjHiP32utmJ/2dE/rkfhehSu6T9CYOXQItvRP2IQWDm0yOY/BhIUP8bc0T91kxgEVg7lP2N/2T15WOo/ysNCrWne0T+OdXEbDeDRP1InoImw4dE/F9nO91Pj0T/biv1l9+TRPwAAAAAAAOw/nzws1Jrm0T9j7lpCPujRP83MzMzMzOw/4C2QoPgx4j8noImw4enRP+xRuB6F69E/sAPnjCjt0T90tRX7y+7RPxsN4C2QoOo/OGdEaW/w0T/8GHPXEvLRP8HKoUW289E/RGlv8IXJ5j+FfNCzWfXRP0ku/yH99tE/F9nO91Pj5z8nwoanV8rmP74wmSoYleg/V+wvuycP5T+wcmiR7XzvP+Olm8QgsOw/DeAtkKD40T/RkVz+Q/rRP6CJsOHpleg/lkOLbOf70T9a9bnaiv3RP0XY8PRKWeo/iUFg5dAi6T8ep+hILv/RP+JYF7fRANI/pgpGJXUC0j/ChqdXyjLiP6Tfvg6cM+I/oImw4emV7D9qvHSTGATSPy9uowG8BdI/8x/Sb18H0j+30QDeAgnSPwkbnl4py+Y/hjjWxW004j97gy9MpgrSPzVeukkMAu8/PzVeukkM0j8E54wo7Q3SP8iYu5aQD9I/qmBUUieg6z9xPQrXo3DtP2iR7Xw/NeI/jErqBDQR0j9L6gQ0ETbiP1D8GHPXEtI/63O1FfvL5j8UrkfhehTSP9lfdk8eFtI/nRGlvcEX0j8tQxzr4jbiP2HD0ytlGdI/zczMzMzM5j+t+lxtxf7uPzlFR3L5D+U/JXUCmggb0j/pJjEIrBzSP67YX3ZPHtI/coqO5PIf0j+QoPgx5q7pP1YOLbKd7+0/Njy9UpYh0j/67evAOSPSP2uad5yiI+k/vp8aL90k0j+DUUmdgCbSPxx8YTJVMOw/D5wzorQ34j9HA3gLJCjSP3Noke18P+0/8fRKWYY44j8LtaZ5xynSP89m1edqK9I/kxgEVg4t0j9YyjLEsS7SPxueXinLEOU/HHxhMlUw0j/gLZCg+DHSP9NNYhBYOeI/pN++Dpwz0j+C4seYu5bsP7WmeccpOuI/n6ut2F926z9oke18PzXSPy1DHOviNtI/8fRKWYY40j+1pnnHKTrSP6K0N/jCZOw/eVioNc070j89CtejcD3SPwK8BRIUP9I/xm00gLdA0j+KH2PuWkLSP07RkVz+Q9I/EoPAyqFF0j/ecYqO5PLtP9c07zhFR9I/JzEIrBxa6j+b5h2n6EjSP9JvXwfOGes/cvkP6bev6T9fmEwVjErSPyNKe4MvTNI/VFInoImw6T+X/5B++zriP/32deCcEeU/5/up8dJN0j+0yHa+nxrrP6yt2F92T9I/cF8HzhlR0j80ETY8vVLSP/jCZKpgVNI/ryXkg57N5j95WKg1zTviP3UCmggbnu4/30+Nl24S5T+8dJMYBFbSP5F++zpwzuY/eAskKH6M7T9z1xLyQc/mP4EmwoanV9I/+THmriXk5z9VMCqpE9DmP0XY8PRKWdI/CYofY+5a0j8yVTAqqRPqP807TtGRXNI/ke18PzVe0j9Wn6ut2F/SPxpR2ht8YdI//mX35GGh6j/biv1l9+TnP94CCYofY9I/orQ3+MJk0j+MuWsJ+aDrP4Lix5i7lug/Nqs+V1ux6T9mZmZmZmbSPwmKH2PuWuo/KxiV1Alo0j/vycNCrWnSP8GopE5AE+U/W7G/7J484j+jAbwFEhTlP7N78rBQa9I/dy0hH/Rs0j8730+Nl27SPz0K16NwPeI/IGPuWkI+4j8AkX77OnDSP8RCrWnecdI/TKYKRiV17D+I9NvXgXPSPwK8BRIUP+I/TKYKRiV10j8QWDm0yHbSP9UJaCJseNI/veMUHcnl5z/kFB3J5T/iP4Za07zjFOU/mbuWkA960j9kO99PjZfoP8ZtNIC3QOI/XW3F/rJ70j+oxks3iUHiPyEf9GxWfdI/5dAi2/l+0j+BlUOLbOfvPzeJQWDl0OY/qoJRSZ2A0j8tsp3vp8btP240gLdAgtI/MuauJeSD0j+KH2PuWkLiP2iz6nO1FeU/9pfdk4eF0j+fPCzUmubnP7pJDAIrh9I/bxKDwMqh6z9KDAIrhxblP3/7OnDOiNI/Q61p3nGK0j8HX5hMFYzSP2x4eqUsQ+I/yxDHuriN0j+yne+nxkvtP07RkVz+Q+I/LGUZ4lgX5T8ofoy5awnvP4/C9Shcj9I/VHQkl/+Q0j8YJlMFo5LSP9zXgXNGlNI/oImw4emV0j8wKqkT0ETiP2Q730+Nl9I/Ke0NvjCZ0j990LNZ9bnuP+2ePCzUmtI/RpT2Bl+Y6D8Sg8DKoUXiP7FQa5p3nNI/dQKaCBue0j/129eBc0biPzm0yHa+n9I//mX35GGh0j8Z4lgXt9HmP8IXJlMFo9I/hslUwaik0j9Ke4MvTKbSPw4tsp3vp9I/097gC5Op0j+XkA96NqvSP1TjpZvEIO4/Dr4wmSoY5T9bQj7o2azSP/s6cM6I0uY/1zTvOEVH4j+5jQbwFkjiPx/0bFZ9rtI/46WbxCCw0j8Wak3zjlPsP6hXyjLEsdI/dCSX/5B+7z9sCfmgZ7PSPzC7Jw8LtdI/JXUCmggb7j/0bFZ9rrbSP7gehetRuNI/fdCzWfW50j/wFkhQ/BjtP0GC4seYu9I/BTQRNjy90j/wFkhQ/BjlP8nlP6TfvtI/jZduEoPA0j8UrkfhehTqP1JJnYAmwtI/FvvL7snD0j/arPpcbcXSP55eKcsQx9I/GQRWDi2y6T+BlUOLbOfnP2IQWDm0yNI/+1xtxf6y6T+b5h2n6EjiPyfChqdXytI/63O1FfvL0j+vJeSDns3SP3PXEvJBz9I/N4lBYOXQ0j/Sb18HzhnlP/s6cM6I0tI/wOyePCzU0j+0yHa+nxrlP4SezarP1dI/SFD8GHPX0j99PzVeukniPwwCK4cW2dI/0LNZ9bna0j+VZYhjXdzSP1+YTBWMSuI/WRe30QDe0j8dyeU/pN/SP2PuWkI+6Oc/4XoUrkfh0j9SJ6CJsOHrP6UsQxzr4tI/0m9fB84Z7T9q3nGKjuTSPy6QoPgx5tI/ZDvfT42X7D/yQc9m1efSP0HxY8xdS+I/3pOHhVrT5j+28/3UeOnSP0VHcvkP6ec/I0p7gy9M4j8Fo5I6AU3iP3qlLEMc69I/5/up8dJN4j8/V1uxv+zSP8pUwaikTuI/AwmKH2Pu0j/HuriNBvDSP6yt2F92T+I/Ke0NvjCZ6D+OBvAWSFDiP5YhjnVxG+U/i2zn+6nx0j9PHhZqTfPSP+58PzVeuu8/MQisHFpk7z9wXwfOGVHiPxTQRNjw9NI/wOyePCzU5j/r4jYawFvqP9iBc0aU9tI/bqMBvAUS7j8noImw4ennP1K4HoXrUeI/eHqlLEMc5T+cM6K0N/jSP5jdk4eFWu8/NBE2PL1S4j8Wak3zjlPiP2HD0ytlGew/YOXQItv50j8kl/+QfvvSP+lILv8h/dI/W9O84xQd5T/0/dR46SbvP636XG3F/tI/CfmgZ7Pq5z/4wmSqYFTiP9obfGEyVeI/cayL22gA0z+8dJMYBFbiPzVeukkMAtM/UWuad5yi6z/5D+m3rwPTPz0s1JrmHeU/C0YldQKa6D8fhetRuB7lP/JBz2bV5+w/n82qz9VW4j8B3gIJih/lP2gibHh6pe4/M8SxLm6j6z++wRcmUwXTP4JzRpT2BtM/gSbChqdX4j9GJXUCmgjTPwrXo3A9CtM/7Z48LNSa6D8U0ETY8PTsP6JFtvP91OY/zojS3uAL0z/dtYR80LPtP5M6AU2EDdM/Y3/ZPXlY4j9F2PD0SlniP1fsL7snD9M/JzEIrBxa4j/jNhrAWyDlP5f/kH77Ou4/G55eKcsQ0z/FjzF3LSHlP99PjZduEtM/owG8BRIU0z9os+pztRXTPyxlGeJYF9M/8BZIUPwY0z8Jih9j7lriP7TIdr6fGtM/eHqlLEMc0z/u68A5I0rrPz0s1JrmHdM/Ad4CCYof0z/NO07RkVzqP8WPMXctIdM/RpT2Bl+Y7D/G3LWEfNDvP6+UZYhjXeo/iUFg5dAi0z9N845TdCTTPzxO0ZFc/u8/EqW9wRcm0z/P91PjpZvoP+viNhrAW+I/1lbsL7sn0z/NO07RkVziP5oIG55eKdM/XrpJDAIr0z8ibHh6pSzTP+cdp+hILtM/9wZfmEwV6j+rz9VW7C/TP2+BBMWPMdM/r5RliGNd4j8zMzMzMzPTP921hHzQs+k/9+RhodY00z+8lpAPejbTPyh+jLlrCe0/gEi/fR040z9E+u3rwDnTPwisHFpkO9M/hJ7Nqs/V5j+R7Xw/NV7iP3RGlPYGX+I/zF1LyAc90z/gnBGlvcHvP1afq63YX+I/TfOOU3Qk6T/2KFyPwvXsP5EPejarPtM/OPjCZKpg4j8aUdobfGHiP1XBqKROQNM/p+hILv8h5T/sUbgehevnPxlz1xLyQdM//Knx0k1i4j/dJAaBlUPTP94CCYofY+I/odY07zhF0z9miGNd3EbTPyo6kst/SNM/ZvfkYaHW5j/Oqs/VVuznP+7rwDkjStM/sp3vp8ZL0z/4wmSqYFTsP3ZPHhZqTdM/OwFNhA1P0z9IUPwYc9fmPyqpE9BE2OY/uB6F61G47j9DHOviNhrsP7FQa5p3nOg/vjCZKhiV7j8EVg4tsp3tP1dbsb/snu4//7J78rBQ0z+TqYJRSZ3oP8NkqmBUUtM/hxbZzvdT7z+HFtnO91PTP0vIBz2bVdM/EHo2qz5X0z/UK2UZ4ljTP5jdk4eFWtM/wFsgQfFj4j9q3nGKjuTqP1yPwvUoXNM/IEHxY8xd0z+itDf4wmTiPy7/If32dew/hA1Pr5Rl4j+JQWDl0CLlP2ZmZmZmZuI/5fIf0m9f0z+ppE5AE2HTP2uad5yiI+U/4lgXt9EA7D9LWYY41sXrPwwCK4cW2eY/24r9Zffk7z9B8WPMXUvuP21Wfa62YtM/2V92Tx4W6j9Iv30dOGfiPzEIrBxaZNM/9bnaiv1l0z+wA+eMKO3nP5Jc/kP67ec/u7iNBvAW6j91ApoIG57oP+C+Dpwzouo/umsJ+aBn0z9+HThnRGnTP1dbsb/snug/TfOOU3Qk5T9Cz2bV52rTP+5aQj7o2eY/BoGVQ4ts0z/KMsSxLm7TP5HtfD81Xuo/MEymCkYl5T+WIY51cRvrP4/k8h/Sb9M/whcmUwWj6j9TliGOdXHTPyBB8WPMXe0/F0hQ/Bhz0z8tsp3vp8brP9obfGEyVew/2/l+arx00z+fq63YX3bTP2Rd3EYDeNM/EqW9wRcm5T94eqUsQxzrPxgmUwWjku4/9P3UeOkm5T8p7Q2+MJnsP3S1FfvL7uc/KxiV1Alo4j8oDwu1pnnTP+zAOSNKe9M/nRGlvcEX6j/WVuwvuyflP7ByaJHtfNM/DXGsi9to4j90JJf/kH7TPznWxW00gNM/uK8D54wo5T/9h/Tb14HTP9iBc0aU9uw/wTkjSnuD0z+aCBueXinlP4XrUbgehdM/fGEyVTAq5T9eukkMAivlP+/Jw0KtaeI/SZ2AJsKG0z8OT6+UZYjTP9IA3gIJitM/QBNhw9Mr5T+WsgxxrIvTP4EExY8xd+s/WmQ730+N0z/RItv5fmriP7N78rBQa+I/Imx4eqUs5T8eFmpN847TP+PHmLuWkNM/p3nHKTqS0z9rK/aX3ZPTPy/dJAaBldM/yeU/pN++7D/zjlN0JJfTPzhnRGlv8O0/uECC4seY0z+V1AloImziP/CFyVTBqO4/dy0hH/Rs4j988rBQa5rTP0Ck374OnNM/ZF3cRgN46z8EVg4tsp3TP78OnDOitOk/yAc9m1Wf0z9ZhjjWxW3iPzvfT42XbuI/BcWPMXct5T+MuWsJ+aDTP1FrmnecotM/YOXQItv57j8VHcnlP6TTP9nO91PjpdM/HThnRGlv4j85tMh2vp/oP52AJsKGp9M/0LNZ9bna5j9hMlUwKqnTPybkg57NqtM/AJF++zpw4j/qlbIMcazTP+LplbIMceI/rkfhehSu0z+/DpwzorTtPxsN4C2QoOg/H/RsVn2u7j9y+Q/pt6/TPzarPldbsdM/oWez6nO16T/EQq1p3nHiP4PAyqFFtuk//mX35GGh6D9uNIC3QILuP/tcbcX+stM/vw6cM6K00z+DwMqhRbbTP+cdp+hILuU/R3L5D+m30z/Jdr6fGi/lPwskKH6MudM/dEaU9gZf6j+zDHGsi9vmP9DVVuwvu9M/lIeFWtO80z+rz9VW7C/lP1g5tMh2vtM/HOviNhrA0z87cM6I0t7sP6abxCCwcuI/iPTb14Fz4j9qTfOOU3TiP+CcEaW9wdM/pU5AE2HD0z9pAG+BBMXTP1UwKqkT0O4/Vg4tsp3v5z8wTKYKRiXpP5VliGNd3OY/LbKd76fG0z/xY8xdS8jTP40o7Q2+MOU/TDeJQWDl6j+1FfvL7snTP8SxLm6jAew/TKYKRiV14j9vgQTFjzHlP3rHKTqSy9M/0ETY8PRK6z9fB84ZUdrtP1HaG3xhMuU/Lv8h/fZ14j8+eVioNc3TPwIrhxbZztM/OGdEaW/w5z8QWDm0yHbiP/KwUGuad+I/1QloImx44j+3Yn/ZPXniP5m7lpAPeuI/xty1hHzQ0z+KjuTyH9LTP09AE2HD09M/hA1Pr5Rl7D8T8kHPZtXTP9ejcD0K19M/m1Wfq63Y0z9fB84ZUdrTP1vTvOMUHes/JLn8h/Tb0z80gLdAguLrP+hqK/aX3dM/GsBbIEHx5z8Spb3BFybpP/T91HjpJuk/4L4OnDOi6D+sHFpkO9/TP3sUrkfheuI/Rrbz/dR46z9wzojS3uDTPzSAt0CC4tM/MzMzMzMz5T/CFyZTBaPoP/kx5q4l5NM/XW3F/rJ74j+94xQdyeXTP4GVQ4ts59M/JXUCmggb7D9FR3L5D+nTP2q8dJMYBO4/CfmgZ7Pq0z/Oqs/VVuzTP3e+nxov3eY/P8bctYR84j9wXwfOGVHuP5Jc/kP67dM/Njy9UpYh7j9WDi2yne/TPyEf9GxWfeI/GsBbIEHx0z/8GHPXEvLnP95xio7k8tM/A3gLJCh+4j+rPldbsb/sP6RwPQrXo+g/Dwu1pnnH7T+jI7n8h/TTP95xio7k8uc/pgpGJXUC7D9n1edqK/bTPyuHFtnO99M/5dAi2/l+4j/vOEVHcvnTP1afq63YX+o/s+pztRX70z94nKIjufzTPxWMSuoENOU/wcqhRbbz5z88TtGRXP7TP8cpOpLLf+I/hslUwaik6D8AAAAAAADUP8SxLm6jAdQ/m1Wfq63Y7z9ZF7fRAN7mP/fkYaHWNOU/iGNd3EYD1D9NFYxK6gTUP9k9eVioNeU/ZRniWBe36T/J5T+k377uPxHHuriNBtQ/1lbsL7sn6T/VeOkmMQjUP5kqGJXUCdQ/vJaQD3o25T87cM6I0t7mPx3J5T+k3+Y/XdxGA3gL1D+e76fGSzflPw8LtaZ5x+s/gEi/fR045T8ijnVxGw3UP6qCUUmdgOI/5j+k374O1D+q8dJNYhDUPyzUmuYdp+w/aCJseHql6D9uowG8BRLUPzJVMCqpE9Q/9wZfmEwV1D/xY8xdS8jrP7u4jQbwFtQ/f2q8dJMY1D9DHOviNhrUPwfOGVHaG9Q/zH9Iv30d1D+QMXctIR/UP1TjpZvEINQ/5IOezarP7T9Ke4MvTKboP4zbaABvgeI/bjSAt0CC4j/mriXkg57tP2Kh1jTvOOU/GJXUCWgi1D/cRgN4CyTUP6H4MeauJdQ/CfmgZ7Pq7T9QjZduEoPiP2WqYFRSJ9Q//yH99nXg5j8y5q4l5IPiPxQ/xty1hOI/KVyPwvUo1D9E+u3rwDnlP+0NvjCZKtQ/sb/snjws1D9/arx0kxjqP/aX3ZOHheI/dnEbDeAt1D86I0p7gy/UP7ivA+eMKOk//tR46SYx1D/ChqdXyjLUP4Y41sVtNNQ/S+oENBE21D8PnDOitDfUP9jw9EpZhuI/001iEFg51D+X/5B++zrUP1uxv+yePNQ/4XoUrkfh5j+6SQwCK4fiPyBj7lpCPtQ/5BQdyeU/1D9HcvkP6bfpP8PTK2UZ4uY/JlMFo5I65T8IrBxaZDvlP6jGSzeJQdQ/mggbnl4p6T/qBDQRNjzlP2x4eqUsQ9Q/MCqpE9BE1D/129eBc0bUP7mNBvAWSNQ/fT81XrpJ1D9B8WPMXUvUPwWjkjoBTdQ/ylTBqKRO1D+coiO5/IfiP8X+snvysOw/S8gHPZtV7T+OBvAWSFDUP6MjufyH9Oc/UrgehetR1D8Wak3zjlPUP3/7OnDOiOI/2ht8YTJV1D+8lpAPejbtP8xdS8gHPeU/n82qz9VW1D9jf9k9eVjUP2FUUiegieI/JzEIrBxa1D/r4jYawFvUP6+UZYhjXdQ/Q61p3nGK4j90RpT2Bl/UPyUGgZVDi+I/OPjCZKpg1D/8qfHSTWLUP6UsQxzr4uY/B1+YTBWM4j/AWyBB8WPUP4QNT6+UZdQ/SL99HThn1D8NcayL22jUP9Ei2/l+atQ/ldQJaCJs1D/eAgmKH2PuPxzr4jYawO8/WYY41sVt1D84+MJkqmDqPx04Z0Rpb9Q/4umVsgxx1D+utmJ/2T3lP6abxCCwctQ/ak3zjlN01D8u/yH99nXUP/KwUGuad9Q/t2J/2T151D/TvOMUHcnrP8gHPZtVn+0/exSuR+F61D8aUdobfGHqPynLEMe6uOk/P8bctYR81D8DeAskKH7UP5EPejarPuU/xyk6kst/1D+IhVrTvOPmP4zbaABvgdQ/6bevA+eM4j9QjZduEoPUPxQ/xty1hNQ/at5xio7k5j/Y8PRKWYbUP8sQx7q4jeI/Nqs+V1ux7z+coiO5/IfUP2FUUiegidQ/JQaBlUOL1D+tad5xio7iPyzUmuYdp+g/c2iR7Xw/5T/pt68D54zUP61p3nGKjtQ/cRsN4C2Q1D82zTtO0ZHUP/p+arx0k9Q/tRX7y+7J6z+8lpAPejbvP07RkVz+Q+w/vjCZKhiV1D9VwaikTkDlP4Lix5i7ltQ/RpT2Bl+Y1D8ukKD4MebqPwtGJXUCmtQ/z/dT46Wb1D83GsBbIEHlP5OpglFJndQ/V1uxv+ye1D9MN4lBYOXmPz0s1JrmHes/Gw3gLZCg1D+PwvUoXI/iP3EbDeAtkOI/4L4OnDOi1D8HzhlR2hvsP6RwPQrXo9Q/aCJseHql1D8s1JrmHafUP/CFyVTBqNQ/tTf4wmSq1D9CYOXQItvtP3npJjEIrNQ/VHQkl/+Q4j88vVKWIY7vPz2bVZ+rrdQ/AU2EDU+v1D/F/rJ78rDUPzbNO07RkeI/uK8D54wo7z+KsOHplbLUPzojSnuDL+4/TmIQWDm01D8YJlMFo5LiPxIUP8bctdQ/Di2yne+n6D/WxW00gLfUP5p3nKIjudQ/GXPXEvJB5T94eqUsQxzvP18pyxDHutQ/+n5qvHST4j8j2/l+arzUP+eMKO0NvtQ/qz5XW7G/1D8fhetRuB7rP2/whclUwdQ/NKK0N/jC1D8ukKD4MebmP/hT46WbxNQ/vAUSFD/G1D+FfNCzWfXnP9zXgXNGlOI/gLdAguLH1D/V52or9pfvP/CFyVTBqOg/kst/SL997z9EaW/whcnUP/vL7snDQuU/fGEyVTAq6T++MJkqGJXiP2fV52or9uc/oImw4emV4j8JG55eKcvUP83MzMzMzNQ/kX77OnDO1D8LJCh+jLnpP2HD0ytlGeo/VTAqqRPQ1D8Z4lgXt9HUP96Th4Va09Q/okW28/3U1D9m9+RhodbUPxDpt68D5+Y/OwFNhA1P7z8wKqkT0ETsPyqpE9BE2NQ/8kHPZtXn5j/uWkI+6NnUP7MMcayL29Q/guLHmLuW4j93vp8aL93UPztwzojS3tQ//yH99nXg1D9DHOviNhrqP166SQwCK+k/+1xtxf6y7z80gLdAguLvP9Sa5h2n6OY/097gC5Op6D+28/3UeOnmP90kBoGVQ+U/7nw/NV666T/D0ytlGeLUP2Q730+Nl+I/RpT2Bl+Y4j+IhVrTvOPUPyntDb4wmeI/TDeJQWDl1D8LRiV1ApriP6CJsOHple4//Knx0k1i6j8Q6bevA+fUP9Sa5h2n6NQ/SS7/If325z+1N/jCZKroPwHeAgmKH+s/mEwVjErq1D+XkA96NqvoP13+Q/rt69Q/0NVW7C+76T/tnjws1JriPyGwcmiR7dQ/oWez6nO17T/P91PjpZviPwKaCBueXu0/sVBrmnec4j+TqYJRSZ3iP+VhodY079Q/sp3vp8ZL6z9OYhBYObTuP6kT0ETY8NQ/U5YhjnVx7z8dyeU/pN/sP799HThnROU/bcX+snvy1D8ydy0hH/TUP/YoXI/C9dQ/si5uowG86T+62or9ZffUP36MuWsJ+dQ/odY07zhF5T91ApoIG57iP0I+6Nms+tQ/V1uxv+ye4j85tMh2vp/iPwfwFkhQ/NQ/Gw3gLZCg4j+mm8QgsHLuP8uhRbbz/dQ/j1N0JJf/1D8Sg8DKoUXsP1MFo5I6AdU/gy9MpgpG5T8Xt9EA3gLVP9xoAG+BBNU/oBov3SQG1T9kzF1LyAfVPyh+jLlrCdU/7C+7Jw8L1T+x4emVsgzVP2aIY13cRuU/dZMYBFYO1T+94xQdyeXtP5SHhVrTvOk/OUVHcvkP1T9mZmZmZmbsP/32deCcEdU/waikTkAT1T93vp8aL93uP6Tfvg6cM+4//mX35GGh4j+GWtO84xTVP0oMAiuHFtU/mEwVjErq5j8OvjCZKhjVP9JvXwfOGdU/liGOdXEb1T/gvg6cM6LiP8IXJlMFo+I/W9O84xQd1T8fhetRuB7VP+M2GsBbINU/eqUsQxzr5j+kcD0K16PiP0jhehSuR+U/hslUwaik4j+n6Egu/yHVP2uad5yiI9U/9dvXgXNG7D8wTKYKRiXVP6vP1VbsL+0/9P3UeOkm1T+4rwPnjCjVP3xhMlUwKtU/QBNhw9Mr1T8FxY8xdy3VP+kmMQisHOw/yXa+nxov1T+NKO0NvjDVP1HaG3xhMtU/FYxK6gQ01T/ZPXlYqDXVP57vp8ZLN9U/YqHWNO841T9oImx4eqXiPyZTBaOSOtU/6gQ0ETY81T+utmJ/2T3VP3Noke18P9U/NxrAWyBB1T/7y+7Jw0LVP5T2Bl+YTOs/v30dOGdE1T+DL0ymCkbVP0jhehSuR9U/SZ2AJsKG7z8Mk6mCUUnVPyo6kst/SOU/QBNhw9Mr6T/QRNjw9ErVP5T2Bl+YTNU/eekmMQis6D+oxks3iUHuP13+Q/rt6+Y/dk8eFmpN6z9YqDXNO07VP0p7gy9MpuI/LNSa5h2n4j8Mk6mCUUnlPx1aZDvfT9U/7uvAOSNK5T8ldQKaCBvqP+ELk6mCUdU/Di2yne+n4j+lvcEXJlPVPxUdyeU/pOs/P1dbsb/s5j/whclUwajiP2lv8IXJVNU/LSEf9GxW1T8rhxbZzvfnP9BE2PD0SuU/8tJNYhBY1T+2hHzQs1nVP9Pe4AuTqeI/tTf4wmSq4j96Nqs+V1vVPz7o2az6XNU/ApoIG55e1T8Zc9cS8kHvP8dLN4lBYNU/4zYawFsg6z+L/WX35GHVP0+vlGWIY9U/E2HD0ytl1T8N4C2QoPjnP7Kd76fGS+U/1xLyQc9m1T+oV8oyxLHsP636XG3F/uw/l5APejar4j+cxCCwcmjVP2B2Tx4WatU/eekmMQis4j+kcD0K16PqPyQofoy5a9U/lPYGX5hM5T8X2c73U+PrP+jZrPpcbdU/rIvbaABv1T9bQj7o2aziP3ZPHhZqTeU/cT0K16Nw1T9GtvP91HjtP7RZ9bnaiu8/RIts5/up7z89m1Wfq63iP1ioNc07TuU/Ne84RUdy1T87AU2EDU/lP/mgZ7Pqc9U/vVKWIY511T8dWmQ730/lPwfOGVHaG+o/gQTFjzF31T9YqDXNO07rPx/0bFZ9ruI/+THmriXk6z8BTYQNT6/iP0a28/3UeNU/46WbxCCw4j8KaCJseHrVP84ZUdobfNU/kst/SL991T/F/rJ78rDiP1Z9rrZif9U/WmQ730+N7T+oV8oyxLHiPxsv3SQGgdU/AJF++zpw7j+KsOHplbLiP9/gC5OpgtU/o5I6AU2E1T9v8IXJVMHuP1tCPujZrOg/Z0Rpb/CF1T9sCfmgZ7PiP94CCYofY+o/PZtVn6ut6D8r9pfdk4fVP+kmMQisHOo/VcGopE5A7T80ETY8vVLuP/Cnxks3idU/tFn1udqK1T94CyQofozVP9GRXP5D+u0/PL1SliGO1T8f9GxWfa7oPwBvgQTFj9U/xSCwcmiR1T+J0t7gC5PVP/+ye/KwUOU/TmIQWDm04j/Mf0i/fR3qP02EDU+vlNU/ukkMAiuH7j8RNjy9UpbVP9Xnaiv2l9U/mpmZmZmZ1T9eS8gHPZvVPzC7Jw8LteI/4QuTqYJR5T8i/fZ14JzVP+auJeSDntU/qmBUUieg1T/AWyBB8WPqPxIUP8bcteI/Imx4eqUs6T9vEoPAyqHVP8x/SL99Hew/9GxWfa624j/WxW00gLfiP8NkqmBUUuU/qaROQBNh7z+4HoXrUbjiPzPEsS5uo9U/KA8LtaZ56z/3deCcEaXVP+84RUdy+ec/uycPC7Wm1T8BTYQNT6/oP3E9CtejcO8/f9k9eVio1T9Ei2zn+6nVPyGwcmiR7eY/CD2bVZ+r1T8FxY8xdy3pP15LyAc9m+8/zO7Jw0Kt1T+ad5yiI7niP5Cg+DHmrtU/VFInoImw1T9hMlUwKqntPxkEVg4tstU/3bWEfNCz1T+hZ7Pqc7XVP2UZ4lgXt9U/KcsQx7q41T/ufD81XrrVP7IubqMBvNU/duCcEaW91T/jpZvEILDoPzqSy39Iv9U/duCcEaW96T990LNZ9bniP/5D+u3rwNU/irDh6ZWy7D/D9Shcj8LVP1g5tMh2vuk/mG4Sg8DK6z+GyVTBqKTqPzqSy39Iv+k/h6dXyjLE1T9LWYY41sXVP2recYqO5O4/Dwu1pnnH1T87AU2EDU/rP9O84xQdydU/XynLEMe64j+YbhKDwMrVP0GC4seYu+I/AwmKH2Pu5j+lvcEXJlPlP/kx5q4l5O8/5WGh1jTv5j/3deCcEaXrP8WPMXctIes/XCBB8WPM1T+itDf4wmTqP4cW2c73U+U/INJvXwfO1T8j2/l+arziP+SDns2qz9U/qDXNO07R1T/HKTqSy3/uPwU0ETY8veI/bef7qfHS1T/RkVz+Q/rnPzGZKhiV1NU/C0YldQKa7D/njCjtDb7iP/VKWYY41tU/ufyH9NvX1T/J5T+k377iP32utmJ/2dU/QmDl0CLb1T8GEhQ/xtzVP6s+V1uxv+I/ysNCrWne1T+Nl24Sg8DiP2lv8IXJVOU/jnVxGw3g1T9SJ6CJsOHVPxfZzvdT49U/s+pztRX75z/biv1l9+TVP8X+snvysOg/nzws1Jrm1T9v8IXJVMHiPxZqTfOOU+4/Y+5aQj7o1T8noImw4enVP1JJnYAmwuI/7FG4HoXr1T9LyAc9m1XlP8e6uI0G8OY/sAPnjCjt1T90tRX7y+7VPy0hH/RsVuU/CmgibHh66z84Z0Rpb/DVP/wYc9cS8tU/EHo2qz5X5T/nHafoSC7pP/7UeOkmMew/NKK0N/jC4j/ByqFFtvPVP4V80LNZ9dU/SS7/If321T+u2F92Tx7qPw3gLZCg+NU/0ZFc/kP61T+pE9BE2PDmPz55WKg1ze0/lkOLbOf71T+LbOf7qfHmP4QNT6+UZeo/WvW52or91T8QWDm0yHbsPx6n6Egu/9U/bcX+snvy5j8W+8vuycPiP+JYF7fRANY/pgpGJXUC1j9qvHSTGATWP0mdgCbChu0/L26jAbwF1j+oV8oyxLHoPzcawFsgQe0/4C2QoPgx7D/zH9JvXwfWP/LSTWIQWOU/t9EA3gIJ1j/4U+Olm8TiP9QrZRniWOU/2qz6XG3F4j9mZmZmZmbqP3uDL0ymCtY/escpOpLL6z8/NV66SQzWPwTnjCjtDdY/Tx4Wak3z5j+2hHzQs1nlP8iYu5aQD9Y/jErqBDQR1j9Q/Bhz1xLWP4qw4emVsug/cM6I0t7g7T8UrkfhehTWPxzr4jYawOk/MzMzMzMz7z9j7lpCPujvP9lfdk8eFtY/nRGlvcEX1j9hw9MrZRnWPyV1ApoIG9Y/SL99HThn7D+8BRIUP8biP+kmMQisHNY/rthfdk8e1j9yio7k8h/WP2wJ+aBns+g/Njy9UpYh1j+Y3ZOHhVrlP/rt68A5I9Y/lkOLbOf75z++nxov3STWPzJ3LSEf9OY/TmIQWDm06D96Nqs+V1vlP4NRSZ2AJtY/eJyiI7n85z9HA3gLJCjWPxDpt68D5+o/aCJseHql6j8wuycPC7XoP1yPwvUoXOU/C7Wmeccp1j/Sb18HzhnvPxIUP8bcteg/z2bV52or1j+TGARWDi3WP1jKMsSxLtY/FNBE2PD05j9m9+RhodbuPxx8YTJVMNY/4C2QoPgx1j+eXinLEMfiPz7o2az6XOU/IEHxY8xd5T/EsS5uowHuP6Tfvg6cM9Y/aJHtfD811j8tQxzr4jbWP4C3QILix+I/K/aX3ZOH7T9Iv30dOGfqP/H0SlmGONY/taZ5xyk61j9Ke4MvTKbuP3lYqDXNO9Y/ApoIG55e5T/l8h/Sb1/lPz0K16NwPdY/ArwFEhQ/1j9cIEHxY8zrP8ZtNIC3QNY/ih9j7lpC1j/Jdr6fGi/pP34dOGdEae8/x0s3iUFg5T9O0ZFc/kPWP68l5IOezew/EoPAyqFF1j9iEFg5tMjiPysYldQJaOo/qaROQBNh5T9EaW/whcniPyfChqdXyuI/1zTvOEVH1j8PC7WmecfvP5vmHafoSNY//kP67evA6T/M7snDQq3vP4hjXdxGA+w/SnuDL0ym6j+u2F92Tx7sP+zAOSNKe+s/X5hMFYxK1j8jSnuDL0zWP+2ePCzUmuw/woanV8oy7D/0bFZ9rrboP6Tfvg6cM+w/CRueXinL4j/n+6nx0k3WP6yt2F92T9Y/i/1l9+Rh5T9wXwfOGVHWPzQRNjy9UtY/+MJkqmBU1j+8dJMYBFbWP9c07zhFR+w/63O1FfvL4j/NzMzMzMziP4EmwoanV9Y/bVZ9rrZi5T/xY8xdS8jtP2q8dJMYBOw/Rdjw9EpZ1j8Jih9j7lrWP0+vlGWIY+U/zTtO0ZFc1j8TYcPTK2XvP5HtfD81XtY/q8/VVuwv6T9Wn6ut2F/WPyzUmuYdp+o/0ZFc/kP67z8aUdobfGHWP94CCYofY9Y/9ihcj8L15j+itDf4wmTWP68l5IOezeI/kX77OnDO4j/WxW00gLfoPzEIrBxaZOU/vHSTGARW7D+n6Egu/yHrP2ZmZmZmZtY/4JwRpb3B6T8rGJXUCWjWP3PXEvJBz+I/2IFzRpT25j/vycNCrWnWP7N78rBQa9Y/WvW52or95z93LSEf9GzWPzvfT42XbtY/AJF++zpw1j8TYcPTK2XlP/W52or9ZeU/1xLyQc9m5T/EQq1p3nHWP5/Nqs/VVuw/iPTb14Fz1j9VMCqpE9DiPzeJQWDl0OI/GeJYF7fR4j+NKO0NvjDpP0ymCkYlddY/umsJ+aBn5T+QMXctIR/qPzxO0ZFc/uc/Di2yne+n7D+cxCCwcmjlP/JBz2bV5+o/EFg5tMh21j/VCWgibHjWP5m7lpAPetY/XW3F/rJ71j8ep+hILv/nP/s6cM6I0uI/fh04Z0Rp5T9yio7k8h/qPyEf9GxWfdY/gSbChqdX7j/l0CLb+X7WP96Th4Va0+I/qoJRSZ2A1j9uNIC3QILWP8Dsnjws1OI/MuauJeSD1j8OvjCZKhjvP9nO91Pjpes/9pfdk4eF1j8OLbKd76fqP7pJDAIrh9Y/f/s6cM6I1j9gdk8eFmrlP9Sa5h2n6Oo/utqK/WX35j9DrWnecYrWPwdfmEwVjNY/okW28/3U4j/LEMe6uI3WP4/C9Shcj9Y/VHQkl/+Q1j+Ens2qz9XiPxgmUwWjktY/3NeBc0aU1j+gibDh6ZXWP2Q730+Nl9Y/GJXUCWgi7j8p7Q2+MJnWP+2ePCzUmtY/sVBrmnec1j9Cz2bV52rlP2b35GGh1uI/uB6F61G46D91ApoIG57WPzm0yHa+n9Y/JCh+jLlr5T/+ZffkYaHWP8IXJlMFo9Y/hslUwaik1j8GgZVDi2zlP0hQ/Bhz1+I/SnuDL0ym1j8OLbKd76fWP5p3nKIjueg/097gC5Op1j990LNZ9bnoP5eQD3o2q9Y/swxxrIvb7j8qqRPQRNjiP+jZrPpcbeU/W0I+6Nms1j8MAiuHFtniP+5aQj7o2eI/iUFg5dAi6z8f9GxWfa7WP+Olm8QgsNY/qFfKMsSx1j+cM6K0N/jmP/OOU3Qkl+8/bAn5oGez1j/Qs1n1udriPzC7Jw8LtdY/9GxWfa621j+4HoXrUbjWP36MuWsJ+eY/fdCzWfW51j9vgQTFjzHpP0GC4seYu9Y/BTQRNjy91j/J5T+k377WP7MMcayL2+I/jZduEoPA1j+VZYhjXdziP1JJnYAmwtY/yjLEsS5u5T/biv1l9+TrP2Dl0CLb+eY/KA8LtaZ57T8W+8vuycPWP9qs+lxtxdY/nl4pyxDH1j93vp8aL93iP1kXt9EA3uI/AAAAAAAA6D/WxW00gLfuP7mNBvAWSOw/YhBYObTI1j/D9Shcj8LpPyfChqdXytY/rIvbaABv5T+7Jw8LtabrP+tztRX7y9Y/ryXkg57N1j9z1xLyQc/WP0I+6Nms+uY/N4lBYOXQ1j/7OnDOiNLWP/CFyVTBqOo/wOyePCzU1j+Ens2qz9XWP5Axdy0hH+w/JJf/kH775j9IUPwYc9fWP4/k8h/Sb+U/cT0K16Nw5T8MAiuHFtnWPwfwFkhQ/OY/8rBQa5p37D/Qs1n1udrWP5VliGNd3NY/U5YhjnVx5T8dWmQ730/rP1kXt9EA3tY/HcnlP6Tf1j+94xQdyeXrP+lILv8h/eY/y6FFtvP95j/l8h/Sb1/vP+F6FK5H4dY/pSxDHOvi1j9q3nGKjuTWP2uad5yiI+s/LpCg+DHm1j/yQc9m1efWP7bz/dR46dY/eqUsQxzr1j8/V1uxv+zWPwMJih9j7tY/097gC5Op6j/HuriNBvDWPwU0ETY8ve4/XynLEMe66D817zhFR3LlPztwzojS3uI/F0hQ/Bhz5T+LbOf7qfHWP08eFmpN89Y/rfpcbcX+5j8U0ETY8PTWPx3J5T+k3+I//yH99nXg4j/iWBe30QDoP9iBc0aU9tY/nDOitDf41j9g5dAi2/nWP+F6FK5H4eI/w9MrZRni4j8kl/+QfvvWP+lILv8h/dY/rfpcbcX+1j9xrIvbaADXPzVeukkMAtc/UdobfGEy6T/5D+m3rwPXP77BFyZTBdc/gnNGlPYG1z/EsS5uowHoP0YldQKaCNc/CtejcD0K1z+b5h2n6EjsP49TdCSX/+Y/zojS3uAL1z++wRcmUwXvP/mgZ7Pqc+U/kzoBTYQN1z/Jdr6fGi/vP7U3+MJkquo/V+wvuycP1z8bnl4pyxDXP/rt68A5I+4/30+Nl24S1z9xrIvbaADnP6UsQxzr4uI/iIVa07zj4j+jAbwFEhTXP2recYqO5OI/aLPqc7UV1z8sZRniWBfXP5eQD3o2q+o/8BZIUPwY1z9MN4lBYOXiP9v5fmq8dOU/jSjtDb4w7T+0yHa+nxrXP5T2Bl+YTO0/vVKWIY515T94eqUsQxzXPz0s1JrmHdc/7Q2+MJkq7j9BguLHmLvoP1TjpZvEIOo/Ad4CCYof1z/FjzF3LSHXP4lBYOXQItc/TfOOU3Qk6z9N845TdCTXP1MFo5I6Aec/kX77OnDO7D8Spb3BFybXPy6QoPgx5uI//fZ14JwR7T/NzMzMzMzuP9ZW7C+7J9c/mggbnl4p1z9eukkMAivXPyJseHqlLNc/I9v5fmq86D/nHafoSC7XP7wFEhQ/xu4/Njy9UpYh6j+rz9VW7C/XP2+BBMWPMdc/c9cS8kHP7D+fq63YX3blPzMzMzMzM9c/9+RhodY01z8Q6bevA+fiP4EExY8xd+U/vJaQD3o21z+ASL99HTjXP2Rd3EYDeOU/RPrt68A51z8IrBxaZDvXPyZTBaOSOu8/zF1LyAc91z9GtvP91HjlP5EPejarPtc/VcGopE5A1z8Zc9cS8kHXP90kBoGVQ9c/odY07zhF1z/yQc9m1efiP2aIY13cRtc/KjqSy39I1z/UmuYdp+jiPzVeukkMAuc/7uvAOSNK1z+yne+nxkvXP3ZPHhZqTdc/OwFNhA1P1z+28/3UeOniP/+ye/KwUNc/w2SqYFRS1z+YTBWMSuriP4cW2c73U9c/S8gHPZtV1z96pSxDHOviP1kXt9EA3u4/EHo2qz5X1z/UK2UZ4ljXP5jdk4eFWtc/pgpGJXUC6D9cj8L1KFzXPyBB8WPMXdc/4lgXt9EA7j/l8h/Sb1/XP6mkTkATYdc/nYAmwoan6z/sUbgehevtP21Wfa62Ytc/PnlYqDXN6z8tIR/0bFbtPzEIrBxaZNc/9bnaiv1l1z9VMCqpE9DsP4hjXdxGA+g/umsJ+aBn1z9d/kP67eviPxsv3SQGge0/fh04Z0Rp1z9Cz2bV52rXPwaBlUOLbNc/yjLEsS5u1z+P5PIf0m/XP9Sa5h2n6Ow/U5YhjnVx1z9/2T15WKjrPxdIUPwYc9c/hjjWxW007D8/V1uxv+ziP4EmwoanV+w/2/l+arx01z8oDwu1pnnlP5+rrdhfdtc/ZF3cRgN41z8YldQJaCLqPwpoImx4euU/KA8LtaZ51z/swDkjSnvXP7ByaJHtfNc/fT81XrpJ7D8Xt9EA3gLnP3Qkl/+Qftc/5fIf0m9f7T851sVtNIDXP/2H9NvXgdc/IbByaJHt4j8DCYofY+7iP+zAOSNKe+U/wTkjSnuD1z+F61G4HoXXPwrXo3A9Cu0/SZ2AJsKG1z8OT6+UZYjXP84ZUdobfOU/0gDeAgmK1z/lYaHWNO/iP5ayDHGsi9c/MzMzMzMz6T/HuriNBvDiP1pkO99Pjdc/pU5AE2HD6T8eFmpN847XP6d5xyk6ku8/FYxK6gQ06T/jx5i7lpDXP6d5xyk6ktc/MEymCkYl6z9rK/aX3ZPXP7bz/dR46eo/L90kBoGV1z/zjlN0JJfXP7hAguLHmNc/INJvXwfO6z988rBQa5rXP13cRgN4C+4/QKTfvg6c1z8EVg4tsp3XP8gHPZtVn9c/NxrAWyBB7z+28/3UeOnsP1YOLbKd7+8/qRPQRNjw4j+MuWsJ+aDXPxWMSuoENO8/DJOpglFJ7z9Ra5p3nKLXPxUdyeU/pNc/PSzUmuYd7z/ZzvdT46XXP52AJsKGp9c/mEwVjErq6j9hMlUwKqnXPybkg57Nqtc/1QloImx47D/5D+m3rwPnP+qVsgxxrNc/dk8eFmpN7T+uR+F6FK7XP3L5D+m3r9c/Nqs+V1ux1z/T3uALk6nuP/fkYaHWNOk/+1xtxf6y1z+/DpwzorTXP4PAyqFFttc/R3L5D+m31z+LbOf7qfHiPwskKH6Mudc/0NVW7C+71z+wcmiR7XzlP9xoAG+BBOc/lIeFWtO81z9YObTIdr7XPxzr4jYawNc/arx0kxgE6D/67evAOSPqP77BFyZTBec/kst/SL995T90JJf/kH7lP4nS3uALk+0/4JwRpb3B1z+Hp1fKMsTpP6VOQBNhw9c/oBov3SQG5z9pAG+BBMXXPy2yne+nxtc/io7k8h/S7z+KH2PuWkLuP/FjzF1LyNc/bcX+snvy4j+1FfvL7snXP8/3U+Olm+w/YTJVMCqp6z96xyk6ksvXPysYldQJaOw/Tx4Wak3z4j8+eVioNc3XPzJ3LSEf9OI/BTQRNjy96D9Wfa62Yn/lPwIrhxbZztc/OdbFbTSA5T/G3LWEfNDXPxsv3SQGgeU/io7k8h/S1z9sCfmgZ7PsPxTQRNjw9OI/T0ATYcPT1z8T8kHPZtXXP9ejcD0K19c/m1Wfq63Y1z9fB84ZUdrXPyS5/If029c/9ihcj8L14j+qYFRSJ6DtP+hqK/aX3dc//Yf029eB5T9pAG+BBMXpP6wcWmQ739c/cM6I0t7g1z80gLdAguLXP/kx5q4l5Nc/veMUHcnl1z+Cc0aU9gbnP5oIG55eKe0/gZVDi2zn1z9FR3L5D+nXPwn5oGez6tc/2IFzRpT24j/f4AuTqYLlP86qz9VW7Nc/klz+Q/rt1z9WDi2yne/XPxrAWyBB8dc/dEaU9gZf7j+62or9ZffiP95xio7k8tc/oyO5/If01z+e76fGSzftP0tZhjjWxek/nDOitDf44j9n1edqK/bXPyuHFtnO99c/foy5awn54j8tsp3vp8bpP0hQ/Bhz1+4/7zhFR3L51z9g5dAi2/niP8E5I0p7g+U/s+pztRX71z8730+Nl27uP3icoiO5/Nc/PE7RkVz+1z8PC7WmecfpPz2bVZ+rre4/AAAAAAAA2D9CPujZrPriP8SxLm6jAdg/iGNd3EYD2D9NFYxK6gTYPxHHuriNBtg/rrZif9k97z/VeOkmMQjYP6foSC7/Ie8/mSoYldQJ2D9jf9k9eVjsP13cRgN4C9g/Io51cRsN2D/mP6Tfvg7YPySX/5B+++I/qvHSTWIQ2D8nMQisHFruPyNKe4MvTO4/o5I6AU2E5T96pSxDHOvqP+eMKO0Nvug/bqMBvAUS2D8yVTAqqRPYP/cGX5hMFdg/u7iNBvAW2D9/arx0kxjYP2TMXUvIB+c/fGEyVTAq7T+F61G4HoXvP0Mc6+I2Gtg/hetRuB6F5T8HzhlR2hvYP3npJjEIrOo/8WPMXUvI6T9NFYxK6gTsP8x/SL99Hdg/kDF3LSEf2D9U46WbxCDYP2B2Tx4Wau0/GJXUCWgi2D9nRGlv8IXlPwfwFkhQ/OI/3EYDeAsk2D+h+DHmriXYP+lILv8h/eI/ZapgVFIn2D/ZPXlYqDXpPylcj8L1KNg/7Q2+MJkq2D+xv+yePCzYP3ZxGw3gLdg/OiNKe4Mv2D/J5T+k377oP8uhRbbz/eI/jLlrCfmg7T/+1HjpJjHYP8KGp1fKMtg/rfpcbcX+4j+8lpAPejbpP4Y41sVtNNg/S+oENBE22D8PnDOitDfYP9NNYhBYOdg/j1N0JJf/4j9JnYAmwoblP5f/kH77Otg/W7G/7J482D+0yHa+nxrtPyBj7lpCPtg/5BQdyeU/2D/8GHPXEvLvP0YldQKaCOc/qMZLN4lB2D/cRgN4CyTqP2x4eqUsQ9g/cayL22gA4z8wKqkT0ETYPyv2l92Th+U/UwWjkjoB4z8OT6+UZYjlPzVeukkMAuM/9dvXgXNG2D+5jQbwFkjYPxe30QDeAuM/PL1SliGO7T99PzVeuknYP/kP6bevA+M/QfFjzF1L2D8Fo5I6AU3YP8pUwaikTtg/jgbwFkhQ2D+rPldbsb/oP2ZmZmZmZu4/UrgehetR2D8p7Q2+MJnuPxZqTfOOU9g/2ht8YTJV2D++nxov3STqP5/Nqs/VVtg/Y3/ZPXlY2D8nMQisHFrYP+viNhrAW9g/E/JBz2bV7T/caABvgQTjP588LNSa5us/TRWMSuoE6D+vlGWIY13YP57vp8ZLN+k/dEaU9gZf2D84+MJkqmDYP/yp8dJNYtg/8KfGSzeJ5T++wRcmUwXjP8BbIEHxY9g/hA1Pr5Rl2D9YqDXNO07tP0i/fR04Z9g/0gDeAgmK5T8NcayL22jYP6AaL90kBuM/0SLb+X5q2D+Cc0aU9gbvP4/C9Shcj+4/ldQJaCJs2D9ZhjjWxW3YP3xhMlUwKu8/jZduEoPA6D8dOGdEaW/YP4JzRpT2BuM/4umVsgxx2D+mm8QgsHLYPy9uowG8Beg/ZMxdS8gH4z9GJXUCmgjjP2pN845TdNg/Lv8h/fZ12D/ysFBrmnfYP2/whclUweg/KH6MuWsJ4z+PU3Qkl//sP3Gsi9toAO0/CtejcD0K4z+3Yn/ZPXnYP9IA3gIJiu8/exSuR+F62D8/xty1hHzYP3KKjuTyH+w/A3gLJCh+2D/HKTqSy3/YP13+Q/rt6+o/jNtoAG+B2D9bQj7o2azqP1CNl24Sg9g/tFn1udqK5T+WsgxxrIvlP+wvuycPC+M/FD/G3LWE2D8Rx7q4jQboP9jw9EpZhtg/nKIjufyH2D94CyQofozlP2FUUiegidg/8x/Sb18H6D8NcayL22jqP/FjzF1LyO8/KH6MuWsJ5z8lBoGVQ4vYP+m3rwPnjNg/zojS3uAL4z+tad5xio7YP1pkO99PjeU/seHplbIM4z9xGw3gLZDYPzbNO07Rkdg/+n5qvHST2D8K16NwPQrnP+wvuycPC+c/vjCZKhiV2D+TOgFNhA3jP4Lix5i7ltg/RpT2Bl+Y2D8LRiV1AprYP3WTGARWDuM/z/dT46Wb2D+TqYJRSZ3YP1dbsb/sntg/Gw3gLZCg2D/vycNCrWnqP9Ei2/l+auo/V+wvuycP4z/gvg6cM6LYP6RwPQrXo9g/PL1SliGO5T9oImx4eqXYPyzUmuYdp9g/zojS3uAL5z8eFmpN847lP/CFyVTBqNg/tTf4wmSq2D956SYxCKzYP0cDeAskKO4/PZtVn6ut2D8BTYQNT6/YPzlFR3L5D+M/xf6ye/Kw2D9Ei2zn+6nrPxueXinLEOM/irDh6ZWy2D9OYhBYObTYPxIUP8bctdg/gEi/fR046T/WxW00gLfYP5p3nKIjudg/AG+BBMWP5T/jx5i7lpDlP6yL22gAb+8/s3vysFBr6j+BlUOLbOfrPxNhw9MrZe0/XynLEMe62D8j2/l+arzYP/32deCcEeM/54wo7Q2+2D89m1Wfq63qP6s+V1uxv9g/b/CFyVTB2D8Spb3BFybrPzSitDf4wtg/+FPjpZvE2D+YTBWMSursP8UgsHJokeU/vAUSFD/G2D+At0CC4sfYP0Rpb/CFydg/eVioNc077j8f9GxWfa7qP7Hh6ZWyDOc/YqHWNO846T/fT42XbhLjP0T67evAOek/CRueXinL2D/NzMzMzMzYP6d5xyk6kuU/kX77OnDO2D9VMCqpE9DYPxniWBe30dg/3pOHhVrT2D9SSZ2AJsLoP6JFtvP91Ng/ZvfkYaHW2D/BqKROQBPjPyZTBaOSOuk/KqkT0ETY2D/uWkI+6NnYP5M6AU2EDec/swxxrIvb2D+jAbwFEhTjP3e+nxov3dg/O3DOiNLe2D//If32deDYP9O84xQdyek/w9MrZRni2D+IhVrTvOPYP0w3iUFg5dg/EOm3rwPn2D+aCBueXinvP9Sa5h2n6Ng/hlrTvOMU4z9os+pztRXjP5hMFYxK6tg/SOF6FK5H7z9d/kP67evYPyGwcmiR7dg/5WGh1jTv2D+pE9BE2PDYP23F/rJ78tg/1XjpJjEI6D9KDAIrhxbjPzJ3LSEf9Ng/9ihcj8L12D+62or9ZffYP6H4MeauJeo/foy5awn52D+1FfvL7snpPzSitDf4wug/Qj7o2az62D8H8BZIUPzYP8uhRbbz/dg/FvvL7snD6D8IrBxaZDvpP49TdCSX/9g/UwWjkjoB2T+V1AloImzqPxe30QDeAtk/3GgAb4EE2T+gGi/dJAbZP2TMXUvIB9k/KH6MuWsJ2T+J0t7gC5PlP/hT46WbxOg/7C+7Jw8L2T+x4emVsgzZP3WTGARWDtk/OUVHcvkP2T/99nXgnBHZP8GopE5AE9k/hlrTvOMU2T9KDAIrhxbZPyxlGeJYF+M/Dr4wmSoY2T9rK/aX3ZPlPwwCK4cW2e4/0m9fB84Z2T+WIY51cRvZP1vTvOMUHdk/KA8LtaZ57z+hZ7Pqc7XvPx+F61G4Htk/4zYawFsg2T+n6Egu/yHZP84ZUdobfOs/a5p3nKIj2T8wTKYKRiXZP7fRAN4CCeg/9P3UeOkm2T9NhA1Pr5TvP5huEoPAyuk/dZMYBFYO5z9NhA1Pr5TlP08eFmpN8+4/V+wvuycP5z/Oqs/VVuztP3rHKTqSy+k/Dr4wmSoY4z+4rwPnjCjZPwFNhA1Pr+o/6gQ0ETY86T98YTJVMCrZPzlFR3L5D+c/QBNhw9Mr2T8FxY8xdy3ZP8l2vp8aL9k/jSjtDb4w2T/wFkhQ/BjjPy/dJAaBleU/UdobfGEy2T+dgCbChqfvPxWMSuoENNk/ETY8vVKW5T/Sb18HzhnjPybkg57Nqus/tMh2vp8a4z+WIY51cRvjP3h6pSxDHOM/mSoYldQJ7j/ZPXlYqDXZP57vp8ZLN9k/YqHWNO842T8mUwWjkjrZP7raiv1l9+w/W9O84xQd4z89LNSa5h3jP5kqGJXUCeg/H4XrUbge4z/jpZvEILDqP3uDL0ymCug/G55eKcsQ5z/zjlN0JJflP+oENBE2PNk//fZ14JwR5z+utmJ/2T3ZP3Noke18P9k/1edqK/aX5T83GsBbIEHZP/vL7snDQtk/zF1LyAc96T8/V1uxv+zqP99PjZduEuc/v30dOGdE2T83iUFg5dDsP1wgQfFjzOk/AiuHFtnO6z9fmEwVjErsP4MvTKYKRtk/2qz6XG3F6D/BqKROQBPnP0jhehSuR9k/owG8BRIU5z8Mk6mCUUnZP7wFEhQ/xug/0ETY8PRK2T+U9gZfmEzZP1ioNc07Ttk/HVpkO99P2T/hC5OpglHZP55eKcsQx+g/pb3BFyZT2T+GWtO84xTnP2lv8IXJVNk/pgpGJXUC7j8tIR/0bFbZPwHeAgmKH+M/8tJNYhBY2T+4QILix5jlP7aEfNCzWdk/ejarPldb2T8+6Nms+lzZP8GopE5AE+8/ApoIG55e2T/HSzeJQWDZP+M2GsBbIOM/XdxGA3gL6D+L/WX35GHZP7ByaJHtfOs/PzVeukkM6D9Pr5RliGPZPxNhw9MrZdk/xY8xdy0h4z+amZmZmZnlP9cS8kHPZtk/nMQgsHJo2T9gdk8eFmrZP3zysFBrmuU/JCh+jLlr2T9eS8gHPZvlP+jZrPpcbdk/rIvbaABv2T9ApN++DpzlPyo6kst/SO8/cT0K16Nw2T8hsHJoke3qPzXvOEVHctk/+aBns+pz2T+9UpYhjnXZP4EExY8xd9k/Rrbz/dR42T8KaCJseHrZP84ZUdobfNk/kst/SL992T+n6Egu/yHjP1Z9rrZif9k/aLPqc7UV5z9KDAIrhxbnP4NRSZ2AJuo/Gy/dJAaB2T+utmJ/2T3pPyL99nXgnOU/3+ALk6mC2T9vEoPAyqHvP6OSOgFNhNk/VOOlm8Qg7D9nRGlv8IXZPyv2l92Th9k/LGUZ4lgX5z/wp8ZLN4nZP7RZ9bnaitk/eAskKH6M2T88vVKWIY7ZPwBvgQTFj9k/Dr4wmSoY5z/FILByaJHZP7dif9k9eew/idLe4AuT2T+Zu5aQD3rsP02EDU+vlNk/dy0hH/Rs6j9ZhjjWxW3qPxE2PL1Sltk/iUFg5dAi4z82zTtO0ZHuP5LLf0i/fes/CD2bVZ+r6z9rmnecoiPjP9Xnaiv2l9k//7J78rBQ6z9N845TdCTjP5qZmZmZmdk/XkvIBz2b2T8730+Nl27qPyL99nXgnNk/BFYOLbKd5T/mriXkg57ZP6pgVFInoNk/bxKDwMqh2T8zxLEubqPZP/d14JwRpdk/Io51cRsN6D/mriXkg57lP7snDwu1ptk/f9k9eVio2T9Ei2zn+6nZP99PjZduEu0/CD2bVZ+r2T/M7snDQq3ZP5Cg+DHmrtk/kQ96Nqs+6T+QoPgx5q7tP8gHPZtVn+U/VFInoImw2T8ZBFYOLbLZP1InoImw4e0/MEymCkYl4z8QejarPlftP921hHzQs9k/JQaBlUOL7D+hZ7Pqc7XZP2UZ4lgXt9k/KcsQx7q42T/ufD81XrrZPxKlvcEXJuM/qmBUUieg5T+yLm6jAbzZP3bgnBGlvdk/OpLLf0i/2T/0/dR46SbjP4y5awn5oOU//kP67evA2T/D9Shcj8LZPxrAWyBB8e0/1lbsL7sn4z+Hp1fKMsTZP7ivA+eMKOM/Y+5aQj7o6z9zaJHtfD/pP0tZhjjWxdk/Dwu1pnnH2T/TvOMUHcnZP5huEoPAytk/mggbnl4p4z9VwaikTkDpP3xhMlUwKuM/XCBB8WPM2T/wFkhQ/BjnP9JvXwfOGec/INJvXwfO2T+0yHa+nxrnP28Sg8DKoeU/5IOezarP2T+oNc07TtHZP23n+6nx0tk/MZkqGJXU2T+WIY51cRvnP/VKWYY41tk/ufyH9NvX2T99rrZif9nZP1FrmnecouU/HThnRGlv6j8rGJXUCWjuP0Jg5dAi29k/BhIUP8bc2T/Kw0Ktad7ZP451cRsN4Nk/XrpJDAIr4z9AE2HD0yvjP1InoImw4dk/F9nO91Pj2T94eqUsQxznP9uK/WX35Nk/nzws1Jrm2T8vbqMBvAXsP2PuWkI+6Nk/PnlYqDXN6T+At0CC4sfoPwCRfvs6cOo/J6CJsOHp2T/sUbgehevZP7AD54wo7dk/sp3vp8ZL7z90tRX7y+7ZPzhnRGlv8Nk/4QuTqYJR6z8ibHh6pSzjP/wYc9cS8tk/LSEf9GxW7z8HX5hMFYzuP1vTvOMUHec/n6ut2F927z/ByqFFtvPZPw1xrIvbaOw/BOeMKO0N6D8zxLEubqPlP4V80LNZ9dk/FR3J5T+k5T9JLv8h/fbZPwpoImx4eu0/DeAtkKD42T/F/rJ78rDqPwXFjzF3LeM/0ZFc/kP62T+WQ4ts5/vZP+cdp+hILuM/yXa+nxov4z+oV8oyxLHqP1r1udqK/dk/b4EExY8x7T/3deCcEaXlP6vP1VbsL+M/jSjtDb4w4z8ukKD4MebuP2+BBMWPMeM/PSzUmuYd5z8ep+hILv/ZPzqSy39Iv+8/4lgXt9EA2j+mCkYldQLaP2IQWDm0yOg/arx0kxgE2j9R2ht8YTLjPzMzMzMzM+M/H4XrUbge5z8B3gIJih/nP73jFB3J5e8/4zYawFsg5z8VjErqBDTjP+LplbIMceo/RGlv8IXJ6D8Cmggbnl7vP3qlLEMc6+w/RUdy+Q/p6z8vbqMBvAXaP/Mf0m9fB9o/9+RhodY04z+30QDeAgnaP3uDL0ymCto/PzVeukkM2j/kg57Nqs/rP1HaG3xhMu0/BOeMKO0N2j/ZzvdT46XlP8iYu5aQD9o/2T15WKg14z+7Jw8LtablP4xK6gQ0Edo/ZapgVFIn6j9Q/Bhz1xLaPxSuR+F6FNo/2V92Tx4W2j+Nl24Sg8DsP/VKWYY41u0/nRGlvcEX2j9hw9MrZRnaP52AJsKGp+U/JXUCmggb2j/pJjEIrBzaPyegibDh6e8/vJaQD3o24z83GsBbIEHpP/T91HjpJus/nu+nxks34z+ASL99HTjjP67YX3ZPHto/coqO5PIf2j82PL1SliHaP+Y/pN++Dug/iIVa07zj7j/FjzF3LSHnP/rt68A5I9o/vp8aL90k2j8g0m9fB87pP0tZhjjWxe8/g1FJnYAm2j9iodY07zjjP0cDeAskKNo/9ihcj8L17j8LtaZ5xynaP0T67evAOeM/RwN4CyQo6j8CK4cW2c7pP6foSC7/Iec/GXPXEvJB6T9vEoPAyqHtP89m1edqK9o/kxgEVg4t2j9YyjLEsS7aPyfChqdXyug/f9k9eVio5T9hMlUwKqnlP4lBYOXQIuc/JlMFo5I64z8cfGEyVTDaPzY8vVKWIew/4C2QoPgx2j+k374OnDPaPwMJih9j7uo/aJHtfD812j9dbcX+snvuPwisHFpkO+M/6gQ0ETY84z/7y+7Jw0LpP1MFo5I6Ae0/a5p3nKIj5z90JJf/kH7rP+qVsgxxrOs/LUMc6+I22j9Ei2zn+6nlP/H0SlmGONo/zF1LyAc94z8m5IOezarlP7WmeccpOto/eVioNc072j89CtejcD3aPwkbnl4py+g/ArwFEhQ/2j/rc7UV+8voP8ZtNIC3QNo/ih9j7lpC2j9O0ZFc/kPaPxKDwMqhRdo/CD2bVZ+r5T/qlbIMcazlP9c07zhFR9o/m+Ydp+hI2j9fmEwVjEraP9iBc0aU9u4/I0p7gy9M2j/kg57Nqs/pP+f7qfHSTdo/yJi7lpAP6D+srdhfdk/aP83MzMzMzOg/TfOOU3Qk5z/M7snDQq3lP1Z9rrZif+s/MEymCkYl5z9wXwfOGVHaP65H4XoUruU/xty1hHzQ6T+utmJ/2T3jPzQRNjy9Uto/+MJkqmBU2j+8dJMYBFbaP68l5IOezeg/kQ96Nqs+4z+BJsKGp1faP0XY8PRKWdo/CYofY+5a2j/NO07RkVzaP4qw4emVsuo/Xf5D+u3r7D+R7Xw/NV7aP3Noke18P+M/Vp+rrdhf2j+QoPgx5q7lPxpR2ht8Ydo/3gIJih9j2j9VwaikTkDjP6rx0k1iEOg/GXPXEvJB7T83GsBbIEHjP6K0N/jCZNo/ZmZmZmZm2j8rGJXUCWjaPxlz1xLyQeM/KVyPwvUo6j/vycNCrWnaP0ATYcPTK+8/s3vysFBr2j93LSEf9GzaPzvfT42Xbto/B1+YTBWM7D87AU2EDU/tPwCRfvs6cNo/EqW9wRcm5z/7y+7Jw0LjP8RCrWnecdo/xEKtad5x6j+TOgFNhA3vP4j029eBc9o/w2SqYFRS6z9MpgpGJXXaP9QrZRniWO8/EFg5tMh22j/VCWgibHjaP4xK6gQ0Eeg/cvkP6bev5T+Zu5aQD3raP6W9wRcmU+s/XW3F/rJ72j8hH/RsVn3aPwu1pnnHKeo/7Q2+MJkq6j/l0CLb+X7aP9ZW7C+7J+s/Ece6uI0G7D9UUiegibDlP6qCUUmdgNo/JJf/kH777j9uNIC3QILaPzarPldbseU/MuauJeSD2j/+ZffkYaHuP/aX3ZOHhdo/3SQGgZVD4z+6SQwCK4faP3/7OnDOiNo/Q61p3nGK2j8HX5hMFYzaP90kBoGVQ+k/9P3UeOkm5z/LEMe6uI3aP4/C9Shcj9o/VHQkl/+Q2j/WVuwvuyfnPxgmUwWjkto/GJXUCWgi7D/c14FzRpTaP2pN845TdO4/oImw4emV2j/swDkjSnvtP21Wfa62Yu8/ZDvfT42X2j8ZBFYOLbLlPyntDb4wmdo/7Z48LNSa2j+/fR04Z0TjP+VhodY07+o/zO7Jw0Kt6z+h1jTvOEXjP4MvTKYKRuM/sVBrmnec2j91ApoIG57aP1MFo5I6Ae8/ZohjXdxG4z85tMh2vp/aP/5l9+Rhodo/SOF6FK5H4z/CFyZTBaPaP7ivA+eMKOc/hslUwaik2j9Ke4MvTKbaP/tcbcX+suU/mggbnl4p5z8OLbKd76faP/rt68A5I+w/exSuR+F67D8X2c73U+PvP9Pe4AuTqdo/l5APejar2j/dtYR80LPlP89m1edqK+o/vw6cM6K05T9bQj7o2azaP6Fns+pzteU/xY8xdy0h7T8f9GxWfa7aPyo6kst/SOM//yH99nXg7D/jpZvEILDaP6hXyjLEsdo/DJOpglFJ4z9sCfmgZ7PaPzC7Jw8Ltdo/7uvAOSNK4z98YTJVMCrnP4PAyqFFtuU/0ETY8PRK4z/0bFZ9rrbaP26jAbwFEug/1xLyQc9m7z+4HoXrUbjaP33Qs1n1udo/QYLix5i72j8FNBE2PL3aP799HThnROk/yeU/pN++2j+Nl24Sg8DaP1JJnYAmwto/ZRniWBe35T8W+8vuycPaP9qs+lxtxdo/+8vuycNC7T+yne+nxkvjP0dy+Q/pt+U/nl4pyxDH2j+h1jTvOEXpP4MvTKYKRuk/ZohjXdxG6T9iEFg5tMjaP5F++zpwzug/J8KGp1fK2j/rc7UV+8vaP2wJ+aBns+o/ryXkg57N2j851sVtNIDrP3PXEvJBz9o/lPYGX5hM4z83iUFg5dDaP/s6cM6I0to/wOyePCzU2j9Q/Bhz1xLoPzJVMCqpE+g/hJ7Nqs/V2j9IUPwYc9faP0jhehSuR+k/NV66SQwC7T8MAiuHFtnaPynLEMe6uOU/dk8eFmpN4z8UP8bctYTuP3PXEvJBz+g/WKg1zTtO4z9eukkMAivnPwskKH6MueU/tvP91Hjp7j/Qs1n1udraPzsBTYQNT+M/QBNhw9Mr5z9F2PD0SlnsP5VliGNd3No/sb/snjws6j8ibHh6pSznP1kXt9EA3to/HcnlP6Tf2j+qglFJnYDuP+F6FK5H4do/pSxDHOvi2j8UrkfhehToP2recYqO5No/LpCg+DHm2j/yQc9m1efaP6RwPQrXo+4/tvP91Hjp2j96pSxDHOvaP4cW2c73U+s/9wZfmEwV6D/ufD81XrrlPx1aZDvfT+M/P1dbsb/s2j//snvysFDjP8bctYR80Os/AwmKH2Pu2j/HuriNBvDaP4ts5/up8do/CyQofoy57T9v8IXJVMHsPxsv3SQGges/BaOSOgFN7j8Z4lgXt9HsP9lfdk8eFug/Tx4Wak3z2j8U0ETY8PTaP9iBc0aU9to/nDOitDf42j9g5dAi2/naPySX/5B++9o/6Ugu/yH92j+t+lxtxf7aP+ELk6mCUeM/BcWPMXct5z+coiO5/IfuP3Gsi9toANs/NV66SQwC2z/DZKpgVFLjP7FQa5p3nOw/5x2n6Egu5z/5D+m3rwPbP5MYBFYOLeo/vsEXJlMF2z+Cc0aU9gbbP03zjlN0JO8/bHh6pSxD7j9GJXUCmgjbPwrXo3A9Cts/pb3BFyZT4z9B8WPMXUvsP86I0t7gC9s/TKYKRiV17j9OYhBYObTqP8l2vp8aL+c/kzoBTYQN2z9pb/CFyVTrPw5Pr5RliO0/0NVW7C+75T9X7C+7Jw/bP7IubqMBvOU/G55eKcsQ2z+HFtnO91PjP1UwKqkT0Og/30+Nl24S2z+rz9VW7C/nP6MBvAUSFNs/aW/whclU4z9os+pztRXbP40o7Q2+MOc/P1dbsb/s7D8sZRniWBfbP/AWSFD8GNs/CmgibHh67z+0yHa+nxrbP3h6pSxDHNs/PSzUmuYd2z9LyAc9m1XjP0vIBz2bVes/Ad4CCYof2z/FjzF3LSHbP4lBYOXQIts/LSEf9GxW6z8tIR/0bFbjP+58PzVeuu0/TfOOU3Qk2z8Spb3BFybbP9ZW7C+7J9s/mggbnl4p2z+oNc07TtHrP2+BBMWPMec/XrpJDAIr2z8ibHh6pSzbP+cdp+hILts/q8/VVuwv2z9vgQTFjzHbPzMzMzMzM9s/7C+7Jw8L7T/35GGh1jTbPzeJQWDl0Og/TmIQWDm07D8qOpLLf0jpP7yWkA96Nts/UdobfGEy5z/zH9JvXwfsP4BIv30dONs/RPrt68A52z8IrBxaZDvbP5SHhVrTvOU/x7q4jQbw6j924JwRpb3lP8xdS8gHPds/kQ96Nqs+2z8nMQisHFrsPwfOGVHaG+4/VcGopE5A2z8Zc9cS8kHbP90kBoGVQ9s/odY07zhF2z8QejarPlfjP2aIY13cRts/KjqSy39I2z/u68A5I0rbP86I0t7gC+0/u7iNBvAW6D9DrWnecYruP7Kd76fGS9s/dk8eFmpN2z87AU2EDU/bP/+ye/KwUNs/w2SqYFRS2z+HFtnO91PbP0vIBz2bVds/8tJNYhBY4z8QejarPlfbP9QrZRniWNs/mN2Th4Va2z+TqYJRSZ3sP1yPwvUoXNs/IEHxY8xd2z8Mk6mCUUnpP+XyH9JvX9s/qaROQBNh2z8/NV66SQzuP21Wfa62Yts/RIts5/up7T8xCKwcWmTbP/W52or9Zds/gEi/fR047T+6awn5oGfbP34dOGdEads/Qs9m1edq2z8GgZVDi2zbP8oyxLEubts/uK8D54wo6z+P5PIf0m/bP/2H9NvXge0/F7fRAN4C7T9TliGOdXHbP8GopE5AE+0/7uvAOSNK6T8XSFD8GHPbP9v5fmq8dNs/+zpwzojS7D+fq63YX3bbP2Kh1jTvOO0/HHxhMlUw7j9kXdxGA3jbP6g1zTtO0ek/KA8LtaZ52z/swDkjSnvbP6abxCCwcuo/GeJYF7fR6D+dEaW9wRfoP9QrZRniWOM/EHo2qz5X6z9CPujZrPruP7aEfNCzWeM/sHJoke182z90JJf/kH7bP5jdk4eFWuM/OdbFbTSA2z96Nqs+V1vjP/2H9NvXgds/io7k8h/S6T9cj8L1KFzjP8E5I0p7g9s/WDm0yHa+5T+F61G4HoXbP6MBvAUSFO0/SZ2AJsKG2z8OT6+UZYjbP9IA3gIJits/0ETY8PRK6T8+6Nms+lzjPyBB8WPMXeM/bef7qfHS6T+WsgxxrIvbP1pkO99Pjds/HhZqTfOO2z/jx5i7lpDbPzqSy39Iv+U/p3nHKTqS2z8Cmggbnl7jPxzr4jYawOU/5fIf0m9f4z/HSzeJQWDjP2sr9pfdk9s/MzMzMzMz5z/+Q/rt68DlP7Kd76fGS+k/L90kBoGV2z/gnBGlvcHlP/OOU3Qkl9s/U5YhjnVx7T/D9Shcj8LlP7hAguLHmNs/pU5AE2HD5T988rBQa5rbP/s6cM6I0ug/QKTfvg6c2z8EVg4tsp3bP3L5D+m3r+0/yAc9m1Wf2z+MuWsJ+aDbP1Frmnecots/dQKaCBue7D/r4jYawFvuPxUdyeU/pNs/qaROQBNh4z8ijnVxGw3uP3ZxGw3gLeo/3pOHhVrT6D+Hp1fKMsTlP9nO91Pjpds/i/1l9+Rh4z/ek4eFWtPsP21Wfa62YuM/nYAmwoan2z9hMlUwKqnbPybkg57Nqts/6pWyDHGs2z/y0k1iEFjtP65H4XoUrts/wOyePCzU6D9miGNd3EbvP3L5D+m3r9s/T6+UZYhj4z9pAG+BBMXlP/2H9NvXges/V1uxv+ye7D82qz5XW7HbP0tZhjjWxeU/qRPQRNjw6j/7XG3F/rLbP78OnDOitNs/g8DKoUW22z9HcvkP6bfbPwskKH6Muds/lPYGX5hM6T+0yHa+nxrvPxWMSuoENOc/0NVW7C+72z/VeOkmMQjsP5SHhVrTvNs/3nGKjuTy7z9YObTIdr7bPxzr4jYawNs/93XgnBGl7T/gnBGlvcHbP39qvHSTGOg/pU5AE2HD2z+I9NvXgXPqPyegibDh6es/dk8eFmpN6T8xCKwcWmTjP2kAb4EExds/9+RhodY05z8TYcPTK2XjP/Cnxks3ie0/YcPTK2UZ6D8tsp3vp8bbP/FjzF1LyNs/liGOdXEb7T9DHOviNhroP6JFtvP91Og/tRX7y+7J2z/f4AuTqYLtP/W52or9ZeM/escpOpLL2z8tsp3vp8blPz55WKg1zds/AiuHFtnO2z+LbOf7qfHqP8bctYR80Ns/DXGsi9to7j/n+6nx0k3uP4qO5PIf0ts/1xLyQc9m4z9PQBNhw9PbP09AE2HD0+k/JXUCmggb6D/ZPXlYqDXnP6hXyjLEse4/WKg1zTtO6T87AU2EDU/pP7prCfmgZ+M/Dwu1pnnH5T8wuycPC7XqP/FjzF1LyOU/7lpCPujZ7j+cxCCwcmjjPxPyQc9m1ds/78nDQq1p7j9UUiegibDtP9ejcD0K19s/m1Wfq63Y2z/TvOMUHcnlP8dLN4lBYO0/Ne84RUdy7z9+HThnRGnjP4SezarP1eg/XwfOGVHa2z/fT42XbhLvPyS5/If029s/6Gor9pfd2z8dWmQ730/pP6wcWmQ739s/bcX+snvy6j9wzojS3uDbPzSAt0CC4ts/+THmriXk2z9YyjLEsS7qPxIUP8bcteo/veMUHcnl2z+BlUOLbOfbP0VHcvkP6ds/mggbnl4p6z8J+aBns+rbP7UV+8vuyeU/B84ZUdob6D9gdk8eFmrjP5huEoPAyuU/zqrP1Vbs2z+30QDeAgnsP5Jc/kP67ds/Vg4tsp3v2z8awFsgQfHbP95xio7k8ts/JLn8h/Tb7T9Ra5p3nKLtP6MjufyH9Ns/Qs9m1edq4z/o2az6XG3vP3rHKTqSy+U/Z9Xnaiv22z8rhxbZzvfbP+84RUdy+ds/JCh+jLlr4z9cIEHxY8zlPwaBlUOLbOM/s+pztRX72z94nKIjufzbPzxO0ZFc/ts/PnlYqDXN5T8AAAAAAADcPyDSb18HzuU/xLEubqMB3D9Wn6ut2F/uP4hjXdxGA9w/TRWMSuoE3D8Rx7q4jQbcPwIrhxbZzuU/6Nms+lxt4z9qTfOOU3TqP9V46SYxCNw/mSoYldQJ3D/kg57Nqs/lP+kmMQisHOg/OiNKe4Mv6j+8lpAPejbnP13cRgN4C9w/xty1hHzQ5T8ijnVxGw3cP8oyxLEubuM/UPwYc9cS7j/mP6Tfvg7cPzGZKhiV1Ok/qvHSTWIQ3D+si9toAG/jP4/k8h/Sb+M/7uvAOSNK7z9uowG8BRLcP6g1zTtO0eU/cT0K16Nw4z9TliGOdXHjPzJVMCqpE9w/9wZfmEwV3D//snvysFDpP7u4jQbwFtw/f2q8dJMY3D9MpgpGJXXqP0Mc6+I2Gtw/B84ZUdob3D/Mf0i/fR3cP2TMXUvIB+8/nu+nxks35z+QMXctIR/cPzXvOEVHcuM/io7k8h/S5T8XSFD8GHPjP1TjpZvEINw/GJXUCWgi3D/cRgN4CyTcP6H4MeauJdw/bef7qfHS5T8cfGEyVTDqP11txf6ye+w/+aBns+pz4z9lqmBUUifcPylcj8L1KNw/aJHtfD817D/tDb4wmSrcP+ELk6mCUek/zH9Iv30d6D/pSC7/If3uP7G/7J48LNw/dnEbDeAt3D86I0p7gy/cPwn5oGez6us//tR46SYx3D/ChqdXyjLcP/7UeOkmMeo/gEi/fR045z+GONbFbTTcP0vqBDQRNtw/8tJNYhBY6z/b+X5qvHTjP9/gC5Opgus/vVKWIY514z8PnDOitDfcP09AE2HD0+U/001iEFg53D+X/5B++zrcP39qvHSTGO4/n6ut2F924z9bsb/snjzcP4EExY8xd+M/IGPuWkI+3D+C4seYu5buP2Kh1jTvOOc/5BQdyeU/3D8xmSoYldTlP2Rd3EYDeOM/qMZLN4lB3D9E+u3rwDnnPxPyQc9m1eU/bHh6pSxD3D/1SlmGONblP3xhMlUwKus/9GxWfa626j9GtvP91HjjP+xRuB6F6+s/JlMFo5I65z+ppE5AE2HtPygPC7WmeeM/MCqpE9BE3D8KaCJseHrjP/Xb14FzRtw/7MA5I0p74z/DZKpgVFLpP7mNBvAWSNw/fT81XrpJ3D9B8WPMXUvcP+AtkKD4Meo/BaOSOgFN3D/Xo3A9CtflP84ZUdobfOM/ylTBqKRO3D+OBvAWSFDcP7n8h/Tb1+U/P8bctYR87D9SuB6F61HcPxZqTfOOU9w/ZvfkYaHW6D/aG3xhMlXcPwisHFpkO+c/rthfdk8e6D+fzarP1VbcP5tVn6ut2OU/Y3/ZPXlY3D+x4emVsgztPycxCKwcWtw/fa62Yn/Z5T+wcmiR7XzjPy7/If32deo/6+I2GsBb3D+Sy39Iv33jP6+UZYhjXdw/dEaU9gZf3D+uR+F6FK7rPz/G3LWEfO4/XwfOGVHa5T9+jLlrCfnuPzj4wmSqYNw//Knx0k1i3D90JJf/kH7jP8BbIEHxY9w/hA1Pr5Rl3D9Iv30dOGfcPw1xrIvbaNw/0SLb+X5q3D+V1AloImzcP1mGONbFbdw/AwmKH2Pu7j8dOGdEaW/cP+LplbIMcdw/ppvEILBy3D9qTfOOU3TcPy7/If32ddw/8rBQa5p33D+3Yn/ZPXncP0Jg5dAi2+U/exSuR+F63D8/xty1hHzcPwN4CyQoftw/YhBYObTI7j8kufyH9NvlP8cpOpLLf9w/jNtoAG+B3D/129eBc0buP6W9wRcmU+k/Vn2utmJ/4z9QjZduEoPcPznWxW00gOM/FD/G3LWE3D85tMh2vp/sP9jw9EpZhtw/RPrt68A57T/WxW00gLfqPxsv3SQGgeM/nKIjufyH3D/qBDQRNjznP8xdS8gHPec/BhIUP8bc5T/9h/Tb14HjP/+ye/KwUO8/3+ALk6mC4z+DwMqhRbbtP2FUUiegidw/rrZif9k95z8T8kHPZtXpP3sUrkfheu4/JQaBlUOL3D/pt68D54zcP61p3nGKjtw/cRsN4C2Q3D+L/WX35GHtPzbNO07Rkdw/+n5qvHST3D/cRgN4CyTsP7gehetRuOo/h6dXyjLE7z++MJkqGJXcP4qO5PIf0us/guLHmLuW3D9GlPYGX5jcP5Axdy0hH+g/C0YldQKa3D+QoPgx5q7rP5wzorQ3+Ow/wTkjSnuD4z/P91PjpZvcP6OSOgFNhOM/k6mCUUmd3D9yio7k8h/oP6foSC7/Ie0/V1uxv+ye3D8bDeAtkKDcPzj4wmSqYO4/wOyePCzU7D8Ab4EExY/vP4XrUbgeheM/wTkjSnuD6z/gvg6cM6LcP6RwPQrXo9w/Z0Rpb/CF4z9oImx4eqXcPyzUmuYdp9w/8IXJVMGo3D/oaiv2l93lP7U3+MJkqtw/eekmMQis3D89m1Wfq63cP0mdgCbChuM/K/aX3ZOH4z8OT6+UZYjjP166SQwCK+s/gy9MpgpG7z8BTYQNT6/cP0hQ/Bhz1+g/8IXJVMGo7D/F/rJ78rDcPyqpE9BE2Og/kQ96Nqs+5z/wp8ZLN4njP8rDQq1p3uU/0gDeAgmK4z+KsOHplbLcP05iEFg5tNw/EhQ/xty13D/WxW00gLfcP5p3nKIjudw/XynLEMe63D817zhFR3LtP5XUCWgibO4/I9v5fmq83D8MAiuHFtnoPxE2PL1Slu8/Xf5D+u3r7j9U46WbxCDoP7RZ9bnaiuM/lrIMcayL4z+jkjoBTYTrP7Pqc7UV++0/7lpCPujZ6D/njCjtDb7cP3gLJCh+jOM/qz5XW7G/3D9aZDvfT43jP2/whclUwdw/NKK0N/jC3D8H8BZIUPzuP/hT46WbxNw/okW28/3U7D+8BRIUP8bcPzy9UpYhjuM/Y+5aQj7o7T8eFmpN847jP4C3QILix9w/c2iR7Xw/5z9EaW/whcncPwkbnl4py9w/EFg5tMh26j8Ab4EExY/jP83MzMzMzNw/Njy9UpYh6D+Rfvs6cM7cP1UwKqkT0Nw/+Q/pt68D7T8Z4lgXt9HcP/VKWYY41uk/3pOHhVrT3D/jx5i7lpDjP6JFtvP91Nw/8rBQa5p36j9m9+RhodbcP8UgsHJokeM/0LNZ9bna6D8qqRPQRNjcP6d5xyk6kuM/i/1l9+Rh7z8E54wo7Q3uP+5aQj7o2dw/idLe4AuT4z+HFtnO91PpP2sr9pfdk+M/swxxrIvb3D8SFD/G3LXuP2lv8IXJVOk/TYQNT6+U4z9PHhZqTfPqP3e+nxov3dw/VcGopE5A5z87cM6I0t7cP/8h/fZ14Nw/L90kBoGV4z/D0ytlGeLcP/OOU3Qkl+0/ETY8vVKW4z+IhVrTvOPcP/OOU3Qkl+M/1edqK/aX4z9MN4lBYOXcPxDpt68D59w/uECC4seY4z/UmuYdp+jcP6wcWmQ73+8/mpmZmZmZ4z+sHFpkO9/lP5hMFYxK6tw/fPKwUGua4z9d/kP67evcP15LyAc9m+M/IbByaJHt3D/lYaHWNO/cPzcawFsgQec/jnVxGw3g5T9ApN++DpzjPybkg57Nqu0/qRPQRNjw3D8i/fZ14JzjP7MMcayL2+g/BFYOLbKd4z9txf6ye/LcPxlz1xLyQec/I0p7gy9M7D8ydy0hH/TcP/YoXI/C9dw/utqK/WX33D9wzojS3uDlP9DVVuwvu+0/UiegibDh5T9+jLlrCfncP+auJeSDnuM/yAc9m1Wf4z8YldQJaCLoP0I+6Nms+tw/B/AWSFD83D/LoUW28/3cP6pgVFInoOM/j1N0JJf/3D80gLdAguLlP1MFo5I6Ad0/F7fRAN4C3T/caABvgQTdPxfZzvdT4+U/oBov3SQG3T9kzF1LyAfdP/kx5q4l5OU/jLlrCfmg4z/67evAOSPoPyh+jLlrCd0/7C+7Jw8L3T9vEoPAyqHjP1FrmnecouM/seHplbIM3T8zxLEubqPjP3WTGARWDt0/FR3J5T+k4z85RUdy+Q/dP9uK/WX35OU/93XgnBGl4z/99nXgnBHdP9xGA3gLJOg/hetRuB6F6z/BqKROQBPdP90kBoGVQ+0/hlrTvOMU3T+ad5yiI7nqPzJ3LSEf9Oo/SgwCK4cW3T+ZKhiV1AnsP9nO91PjpeM/Dr4wmSoY3T+94xQdyeXlP0vIBz2bVek/0m9fB84Z3T+WIY51cRvdP4lBYOXQIu0/nl4pyxDH7j9b07zjFB3dPx+F61G4Ht0/4zYawFsg3T++nxov3SToP6foSC7/Id0/a5p3nKIj3T9AE2HD0yvrPzBMpgpGJd0/uycPC7Wm4z+dgCbChqfjP/T91HjpJt0/uK8D54wo3T98YTJVMCrdP3uDL0ymCuw/QBNhw9Mr3T8FxY8xdy3dP6H4MeauJeg/nzws1Jrm5T9/2T15WKjjP8l2vp8aL90/gZVDi2zn5T+NKO0NvjDdP33Qs1n1ueo/UdobfGEy3T+VZYhjXdzoPxWMSuoENN0/cvkP6bev6z/ZPXlYqDXdP57vp8ZLN90/YTJVMCqp4z9j7lpCPujlPyJseHqlLOs/YqHWNO843T8mUwWjkjrdPwXFjzF3Les/6gQ0ETY83T+utmJ/2T3dP3Noke18P90/16NwPQrX6T83GsBbIEHdP/vL7snDQt0/g1FJnYAm6D9lqmBUUifoP18pyxDHuuo/v30dOGdE3T+DL0ymCkbdP0jhehSuR90/DJOpglFJ3T9FR3L5D+nlP9BE2PD0St0/lPYGX5hM3T9YqDXNO07dPyegibDh6eU/HVpkO99P3T9Ei2zn+6njP+ELk6mCUd0/pb3BFyZT3T/3Bl+YTBXuP1RSJ6CJsO8/RwN4CyQo6D9pb/CFyVTdPybkg57NquM/5q4l5IOe7z8tIR/0bFbdP/vL7snDQuc/CD2bVZ+r4z/y0k1iEFjdP7aEfNCzWd0/ejarPldb3T8+6Nms+lzdP7n8h/Tb1+k/ApoIG55e3T/HSzeJQWDdP4BIv30dOO8/i/1l9+Rh3T+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\"},\"renderers\":[{\"id\":\"1037\"}]},\"id\":\"1047\",\"type\":\"LegendItem\"},{\"attributes\":{\"fill_alpha\":{\"value\":0.1},\"fill_color\":{\"value\":\"#1f77b3\"},\"line_alpha\":{\"value\":0.1},\"line_color\":{\"value\":\"#1f77b3\"},\"x\":{\"field\":\"time of backtrack (s)\"},\"y\":{\"field\":\"__ECDF\"}},\"id\":\"1036\",\"type\":\"Circle\"},{\"attributes\":{\"text\":\"\"},\"id\":\"1040\",\"type\":\"Title\"},{\"attributes\":{},\"id\":\"1019\",\"type\":\"PanTool\"},{\"attributes\":{},\"id\":\"1056\",\"type\":\"Selection\"},{\"attributes\":{},\"id\":\"1005\",\"type\":\"DataRange1d\"},{\"attributes\":{\"axis\":{\"id\":\"1011\"},\"ticker\":null},\"id\":\"1014\",\"type\":\"Grid\"},{\"attributes\":{\"fill_color\":{\"value\":\"#1f77b3\"},\"line_color\":{\"value\":\"#1f77b3\"},\"x\":{\"field\":\"time of backtrack (s)\"},\"y\":{\"field\":\"__ECDF\"}},\"id\":\"1035\",\"type\":\"Circle\"},{\"attributes\":{\"bottom_units\":\"screen\",\"fill_alpha\":0.5,\"fill_color\":\"lightgrey\",\"left_units\":\"screen\",\"level\":\"overlay\",\"line_alpha\":1.0,\"line_color\":\"black\",\"line_dash\":[4,4],\"line_width\":2,\"render_mode\":\"css\",\"right_units\":\"screen\",\"top_units\":\"screen\"},\"id\":\"1025\",\"type\":\"BoxAnnotation\"},{\"attributes\":{\"active_drag\":\"auto\",\"active_inspect\":\"auto\",\"active_multi\":null,\"active_scroll\":\"auto\",\"active_tap\":\"auto\",\"tools\":[{\"id\":\"1019\"},{\"id\":\"1020\"},{\"id\":\"1021\"},{\"id\":\"1022\"},{\"id\":\"1023\"},{\"id\":\"1024\"}]},\"id\":\"1026\",\"type\":\"Toolbar\"}],\"root_ids\":[\"1002\"]},\"title\":\"Bokeh Application\",\"version\":\"2.0.2\"}};\n",
       "  var render_items = [{\"docid\":\"c860cd09-06ac-4e88-a1b0-1e7929fe85b2\",\"root_ids\":[\"1002\"],\"roots\":{\"1002\":\"22436ea7-feaf-47ce-bd1a-dc1ff4087d9e\"}}];\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",
       "    var attempts = 0;\n",
       "    var 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": "1002"
      }
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "p = bokeh_catplot.ecdf(\n",
    "    t_bt,\n",
    "    val='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=\"36f2227a-463c-40e9-a07a-c3cf2b8b5875\" data-root-id=\"1111\"></div>\n"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "application/javascript": [
       "(function(root) {\n",
       "  function embed_document(root) {\n",
       "    \n",
       "  var docs_json = 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of backtrack (s)\"},\"y\":{\"field\":\"__ECCDF\"}},\"id\":\"1145\",\"type\":\"Circle\"},{\"attributes\":{\"axis_label\":\"ECCDF\",\"formatter\":{\"id\":\"1152\"},\"ticker\":{\"id\":\"1125\"}},\"id\":\"1124\",\"type\":\"LogAxis\"},{\"attributes\":{},\"id\":\"1133\",\"type\":\"HelpTool\"},{\"attributes\":{\"source\":{\"id\":\"1157\"}},\"id\":\"1161\",\"type\":\"CDSView\"}],\"root_ids\":[\"1111\"]},\"title\":\"Bokeh Application\",\"version\":\"2.0.2\"}};\n",
       "  var render_items = [{\"docid\":\"a9278534-3ecb-4535-8ebd-3bccd0e39f5d\",\"root_ids\":[\"1111\"],\"roots\":{\"1111\":\"36f2227a-463c-40e9-a07a-c3cf2b8b5875\"}}];\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",
       "    var attempts = 0;\n",
       "    var 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": "1111"
      }
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "p = bokeh_catplot.ecdf(\n",
    "    t_bt,\n",
    "    val='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": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "CPython 3.7.7\n",
      "IPython 7.13.0\n",
      "\n",
      "numpy 1.18.1\n",
      "scipy 1.4.1\n",
      "pandas 0.24.2\n",
      "numba 0.49.1\n",
      "tqdm 4.46.0\n",
      "bokeh 2.0.2\n",
      "bokeh_catplot 0.1.8\n",
      "jupyterlab 1.2.6\n"
     ]
    }
   ],
   "source": [
    "%load_ext watermark\n",
    "%watermark -v -p numpy,scipy,pandas,numba,tqdm,bokeh,bokeh_catplot,jupyterlab"
   ]
  }
 ],
 "metadata": {
  "anaconda-cloud": {},
  "kernelspec": {
   "display_name": "Python 3",
   "language": "python",
   "name": "python3"
  },
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 3
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython3",
   "version": "3.7.7"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 4
}