{
 "cells": [
  {
   "cell_type": "markdown",
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   "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=\"1002\">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\") || (!Object.prototype.hasOwnProperty.call(output.data, 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(\"1002\");\n",
       "    if (el != null) {\n",
       "      el.textContent = \"BokehJS is loading...\";\n",
       "    }\n",
       "    if (root.Bokeh !== undefined) {\n",
       "      if (el != null) {\n",
       "        el.textContent = \"BokehJS \" + root.Bokeh.version + \" successfully loaded.\";\n",
       "      }\n",
       "    } else if (Date.now() < root._bokeh_timeout) {\n",
       "      setTimeout(display_loaded, 100)\n",
       "    }\n",
       "  }\n",
       "\n",
       "\n",
       "  function run_callbacks() {\n",
       "    try {\n",
       "      root._bokeh_onload_callbacks.forEach(function(callback) {\n",
       "        if (callback != null)\n",
       "          callback();\n",
       "      });\n",
       "    } finally {\n",
       "      delete root._bokeh_onload_callbacks\n",
       "    }\n",
       "    console.debug(\"Bokeh: all callbacks have finished\");\n",
       "  }\n",
       "\n",
       "  function load_libs(css_urls, js_urls, callback) {\n",
       "    if (css_urls == null) css_urls = [];\n",
       "    if (js_urls == null) js_urls = [];\n",
       "\n",
       "    root._bokeh_onload_callbacks.push(callback);\n",
       "    if (root._bokeh_is_loading > 0) {\n",
       "      console.debug(\"Bokeh: BokehJS is being loaded, scheduling callback at\", now());\n",
       "      return null;\n",
       "    }\n",
       "    if (js_urls == null || js_urls.length === 0) {\n",
       "      run_callbacks();\n",
       "      return null;\n",
       "    }\n",
       "    console.debug(\"Bokeh: BokehJS not loaded, scheduling load and callback at\", now());\n",
       "    root._bokeh_is_loading = css_urls.length + js_urls.length;\n",
       "\n",
       "    function on_load() {\n",
       "      root._bokeh_is_loading--;\n",
       "      if (root._bokeh_is_loading === 0) {\n",
       "        console.debug(\"Bokeh: all BokehJS libraries/stylesheets loaded\");\n",
       "        run_callbacks()\n",
       "      }\n",
       "    }\n",
       "\n",
       "    function on_error(url) {\n",
       "      console.error(\"failed to load \" + url);\n",
       "    }\n",
       "\n",
       "    for (let i = 0; i < css_urls.length; i++) {\n",
       "      const url = css_urls[i];\n",
       "      const element = document.createElement(\"link\");\n",
       "      element.onload = on_load;\n",
       "      element.onerror = on_error.bind(null, url);\n",
       "      element.rel = \"stylesheet\";\n",
       "      element.type = \"text/css\";\n",
       "      element.href = url;\n",
       "      console.debug(\"Bokeh: injecting link tag for BokehJS stylesheet: \", url);\n",
       "      document.body.appendChild(element);\n",
       "    }\n",
       "\n",
       "    const hashes = {\"https://cdn.bokeh.org/bokeh/release/bokeh-2.3.2.min.js\": \"XypntL49z55iwGVUW4qsEu83zKL3XEcz0MjuGOQ9SlaaQ68X/g+k1FcioZi7oQAc\", \"https://cdn.bokeh.org/bokeh/release/bokeh-tables-2.3.2.min.js\": \"bEsM86IHGDTLCS0Zod8a8WM6Y4+lafAL/eSiyQcuPzinmWNgNO2/olUF0Z2Dkn5i\", \"https://cdn.bokeh.org/bokeh/release/bokeh-widgets-2.3.2.min.js\": \"TX0gSQTdXTTeScqxj6PVQxTiRW8DOoGVwinyi1D3kxv7wuxQ02XkOxv0xwiypcAH\"};\n",
       "\n",
       "    for (let i = 0; i < js_urls.length; i++) {\n",
       "      const url = js_urls[i];\n",
       "      const element = document.createElement('script');\n",
       "      element.onload = on_load;\n",
       "      element.onerror = on_error.bind(null, url);\n",
       "      element.async = false;\n",
       "      element.src = url;\n",
       "      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-2.3.2.min.js\", \"https://cdn.bokeh.org/bokeh/release/bokeh-widgets-2.3.2.min.js\", \"https://cdn.bokeh.org/bokeh/release/bokeh-tables-2.3.2.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(\"1002\")).parents('.cell').data().cell;\n",
       "      cell.output_area.append_execute_result(NB_LOAD_WARNING)\n",
       "    }\n",
       "\n",
       "  }\n",
       "\n",
       "  if (root._bokeh_is_loading === 0) {\n",
       "    console.debug(\"Bokeh: BokehJS loaded, going straight to plotting\");\n",
       "    run_inline_js();\n",
       "  } else {\n",
       "    load_libs(css_urls, js_urls, function() {\n",
       "      console.debug(\"Bokeh: BokehJS plotting callback run at\", now());\n",
       "      run_inline_js();\n",
       "    });\n",
       "  }\n",
       "}(window));"
      ],
      "application/vnd.bokehjs_load.v0+json": "\n(function(root) {\n  function now() {\n    return new Date();\n  }\n\n  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(\"1002\");\n    if (el != null) {\n      el.textContent = \"BokehJS is loading...\";\n    }\n    if (root.Bokeh !== undefined) {\n      if (el != null) {\n        el.textContent = \"BokehJS \" + root.Bokeh.version + \" successfully loaded.\";\n      }\n    } else if (Date.now() < root._bokeh_timeout) {\n      setTimeout(display_loaded, 100)\n    }\n  }\n\n\n  function run_callbacks() {\n    try {\n      root._bokeh_onload_callbacks.forEach(function(callback) {\n        if (callback != null)\n          callback();\n      });\n    } finally {\n      delete root._bokeh_onload_callbacks\n    }\n    console.debug(\"Bokeh: all callbacks have finished\");\n  }\n\n  function load_libs(css_urls, js_urls, callback) {\n    if (css_urls == null) css_urls = [];\n    if (js_urls == null) js_urls = [];\n\n    root._bokeh_onload_callbacks.push(callback);\n    if (root._bokeh_is_loading > 0) {\n      console.debug(\"Bokeh: BokehJS is being loaded, scheduling callback at\", now());\n      return null;\n    }\n    if (js_urls == null || js_urls.length === 0) {\n      run_callbacks();\n      return null;\n    }\n    console.debug(\"Bokeh: BokehJS not loaded, scheduling load and callback at\", now());\n    root._bokeh_is_loading = css_urls.length + js_urls.length;\n\n    function on_load() {\n      root._bokeh_is_loading--;\n      if (root._bokeh_is_loading === 0) {\n        console.debug(\"Bokeh: all BokehJS libraries/stylesheets loaded\");\n        run_callbacks()\n      }\n    }\n\n    function on_error(url) {\n      console.error(\"failed to load \" + url);\n    }\n\n    for (let i = 0; i < css_urls.length; i++) {\n      const url = css_urls[i];\n      const element = document.createElement(\"link\");\n      element.onload = on_load;\n      element.onerror = on_error.bind(null, url);\n      element.rel = \"stylesheet\";\n      element.type = \"text/css\";\n      element.href = url;\n      console.debug(\"Bokeh: injecting link tag for BokehJS stylesheet: \", url);\n      document.body.appendChild(element);\n    }\n\n    const hashes = {\"https://cdn.bokeh.org/bokeh/release/bokeh-2.3.2.min.js\": \"XypntL49z55iwGVUW4qsEu83zKL3XEcz0MjuGOQ9SlaaQ68X/g+k1FcioZi7oQAc\", \"https://cdn.bokeh.org/bokeh/release/bokeh-tables-2.3.2.min.js\": \"bEsM86IHGDTLCS0Zod8a8WM6Y4+lafAL/eSiyQcuPzinmWNgNO2/olUF0Z2Dkn5i\", \"https://cdn.bokeh.org/bokeh/release/bokeh-widgets-2.3.2.min.js\": \"TX0gSQTdXTTeScqxj6PVQxTiRW8DOoGVwinyi1D3kxv7wuxQ02XkOxv0xwiypcAH\"};\n\n    for (let i = 0; i < js_urls.length; i++) {\n      const url = js_urls[i];\n      const element = document.createElement('script');\n      element.onload = on_load;\n      element.onerror = on_error.bind(null, url);\n      element.async = false;\n      element.src = url;\n      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-2.3.2.min.js\", \"https://cdn.bokeh.org/bokeh/release/bokeh-widgets-2.3.2.min.js\", \"https://cdn.bokeh.org/bokeh/release/bokeh-tables-2.3.2.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(\"1002\")).parents('.cell').data().cell;\n      cell.output_area.append_execute_result(NB_LOAD_WARNING)\n    }\n\n  }\n\n  if (root._bokeh_is_loading === 0) {\n    console.debug(\"Bokeh: BokehJS loaded, going straight to plotting\");\n    run_inline_js();\n  } else {\n    load_libs(css_urls, js_urls, function() {\n      console.debug(\"Bokeh: BokehJS plotting callback run at\", now());\n      run_inline_js();\n    });\n  }\n}(window));"
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "import tqdm\n",
    "\n",
    "import numpy as np\n",
    "import pandas as pd\n",
    "import numba\n",
    "\n",
    "import iqplot\n",
    "\n",
    "import bokeh.io\n",
    "import bokeh.plotting\n",
    "\n",
    "bokeh.io.output_notebook()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "**a)** For speed, I will use Numba to compile the function. You can read more about Numba [here](http://numba.pydata.org/). For now, though, you can just ignore the `@numba.njit` decorator on the function."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {},
   "outputs": [],
   "source": [
    "@numba.njit\n",
    "def backtrack_steps():\n",
    "    \"\"\"\n",
    "    Compute the number of steps it takes a 1d random walker starting\n",
    "    at zero to get to +1.\n",
    "    \"\"\"\n",
    "    # Initialize position and number of steps\n",
    "    x = 0\n",
    "    n_steps = 0\n",
    "\n",
    "    # Walk until we get to positive 1\n",
    "    while x < 1:\n",
    "        x += 2 * np.random.randint(0, 2) - 1\n",
    "        n_steps += 1\n",
    "\n",
    "    return n_steps"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "**b)** Now let's run it lots and lots of times. We will convert the result to time using the fact that each step takes about half a second.\n",
    "\n",
    "When we run multiple simulations, it might be nice to have a progress bar. The `tqdm` module allows you to easily set up progress bars. To use it, just surround any iterator in a `for` loop with `tqdm.tqdm()`. For example, you could do:\n",
    "\n",
    "```python\n",
    "for i in tqdm.tqdm(range(10000)):\n",
    "```"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {},
   "outputs": [
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "100%|██████████| 10000/10000 [00:02<00:00, 4221.20it/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": {
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     "data": {
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       "  root.Bokeh.embed.embed_items_notebook(docs_json, render_items);\n",
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       "  if (root.Bokeh !== undefined) {\n",
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   "source": [
    "p = iqplot.ecdf(\n",
    "    t_bt,\n",
    "    q='time of backtrack (s)',\n",
    "    x_axis_type='log',\n",
    ")\n",
    "\n",
    "bokeh.io.show(p)"
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  {
   "cell_type": "markdown",
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   "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": [
    {
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t8/0QDeAgmKvz8dWmQ730/vP9r5fmq8dN8/OgFNhA1P7z9YqDXNO07vPxZIUPwYc98/dk8eFmpN7z9IlPYGX5jMP5T2Bl+YTO8/sp3vp8ZL7z/QRNjw9ErvP+7rwDkjSu8/uECC4seY1z8Mk6mCUUnvPyo6kst/SO8/WmQ730+N0z9SliGOdXHfPyKX/5B++6o/9I5TdCSX1z9I4XoUrkfvP2WIY13cRu8/lIeFWtO8wz+DL0ymCkbvP6HWNO84Re8/v30dOGdE7z/dJAaBlUPvP47k8h/Sb98/lrIMcayL0z8u3SQGgZXXPxBYObTIdsY/0gDeAgmK0z+gq63YX3bHP/vL7snDQu8/yjLEsS5u3z8OT6+UZYjTP4MtIR/0bJY/BoGVQ4ts3z8Zc9cS8kHvP2or9pfdk9c/NxrAWyBB7z9VwaikTkDvP0LPZtXnat8/4xLyQc9mlT9zaJHtfD/vP5APejarPu8/rrZif9k97z+meccpOpLXP8xdS8gHPe8/6gQ0ETY87z8IrBxaZDvvPyZTBaOSOu8/fh04Z0Rp3z8iufyH9NunPwN6Nqs+V5s/g1rTvOMUnT+6awn5oGffP0T67evAOe8/YqHWNO847z/ix5i7lpDXP4BIv30dOO8/nu+nxks37z/QRNjw9ErRPyEofoy5a7k/vJaQD3o27z/ZPXlYqDXvP0qdgCbChtM/DJOpglFJ0T/35GGh1jTvPxWMSuoENO8/MzMzMzMz7z9R2ht8YTLvP2+BBMWPMe8/jSjtDb4w7z8o7Q2+MJnKP/a52or9Zd8/q8/VVuwv7z+I9NvXgXPGP8l2vp8aL+8/5h2n6Egu7z+gibDh6ZXKPzAIrBxaZN8/BMWPMXct7z9Sn6ut2F+mP2xWfa62Yt8/vDCZKhiVzD8ibHh6pSzvP0ATYcPTK+8/XrpJDAIr7z98YTJVMCrvP5oIG55eKe8/qKROQBNh3z+4rwPnjCjvP9ZW7C+7J+8/9P3UeOkm7z9I4XoUrkfRPxKlvcEXJu8/POjZrPpcxT8vTKYKRiXvP03zjlN0JO8/GCZTBaOSyj9rmnecoiPvPxl/arx0k2g/iUFg5dAi7z+n6Egu/yHvP8WPMXctIe8/4zYawFsg7z8B3gIJih/vPx+F61G4Hu8/jfYGX5hMdT+CrrZif9mtPz0s1JrmHe8/WtO84xQd7z94eqUsQxzvP5YhjnVxG+8/mZAPejarvj+0yHa+nxrvP+TyH9JvX98/0m9fB84Z7z/wFkhQ/BjvPw6+MJkqGO8/LGUZ4lgX7z9KDAIrhxbvP2iz6nO1Fe8/hVrTvOMU7z+jAbwFEhTvPx4Wak3zjtc/waikTkAT7z8Rx7q4jQawP99PjZduEu8//fZ14JwR7z8gQfFjzF3fP1yPwvUoXN8/G55eKcsQ7z8YSFD8GHPHPzlFR3L5D+8/mN2Th4Va3z9X7C+7Jw/vP3WTGARWDu8/kzoBTYQN7z+w4emVsgzvP86I0t7gC+8/DCQofoy5wz9ps+pztRW7PzTNO07Rkcw/7C+7Jw8L7z8K16NwPQrvP5DC9Shcj8o/1CtlGeJY3z9aZDvfT43XPyh+jLlrCe8/EHo2qz5X3z9MyAc9m1XPP0YldQKaCO8/ZMxdS8gH7z9MyAc9m1XfP4JzRpT2Bu8/oBov3SQG7z++wRcmUwXvPwhfmEwVjMo/22gAb4EE7z+4/If029fBP4YW2c73U98/+Q/pt68D7z+E61G4HoXTPxe30QDeAu8/lrIMcayL1z81XrpJDALvP1MFo5I6Ae8/wmSqYFRS3z+EL0ymCkbRP+NRuB6F65E/cayL22gA7z+PU3Qkl//uP636XG3F/u4/xGSqYFRSzz/AOSNKe4PTP8uhRbbz/e4/6Ugu/yH97j8G8BZIUPzuP/6ye/KwUN8/JJf/kH777j9CPujZrPruP2Dl0CLb+e4/foy5awn57j/AfR04Z0TRP5wzorQ3+O4/2V92Tx4Wuj/SAN4CCYrXPzoBTYQNT98/KYcW2c73sz92Tx4Wak3fPw5Pr5RliNc/4RQdyeU/tD+62or9ZffuPxFhw9MrZbk/seHplbIMsT+yne+nxkvfP9iBc0aU9u4/9ihcj8L17j8U0ETY8PTuPzF3LSEf9O4/6Ywo7Q2+sD+Qfvs6cM7APzCZKhiV1ME//If029eB0z9PHhZqTfPuP+7rwDkjSt8/bcX+snvy7j9KnYAmwobXP4ts5/up8e4/qRPQRNjw7j8qOpLLf0jfP8e6uI0G8O4/iclUwaikvj8G8BZIUPyIP+VhodY07+4/AwmKH2Pu7j+E61G4HoXXP/rL7snDQtE/gnzQs1n1qT841sVtNIDTPyGwcmiR7e4/P1dbsb/s7j9c/kP67evuP3KKjuTyH6I/eqUsQxzr7j8DmN2Th4WaP3Qkl/+QftM/mEwVjErq7j9miGNd3EbfP8A5I0p7g9c/tvP91Hjp7j/UmuYdp+juP6LWNO84Rd8/BHgLJCh+xD/cJAaBlUPfP3HF/rJ78rA/wTkjSnuDvz/yQc9m1efuPxkmUwWjkro/EOm3rwPn7j82GsBbIEHRPy6QoPgx5u4/TDeJQWDl7j9q3nGKjuTuP4iFWtO84+4/pSxDHOvi7j8Yc9cS8kHfP8PTK2UZ4u4//If029eB1z/hehSuR+HuP2GqYFRSJ7A//yH99nXg7j8dyeU/pN/uPzwBTYQNT88/VMGopE5A3z87cM6I0t7uP1kXt9EA3u4/d76fGi/d7j+QD3o2qz7fP5VliGNd3O4/sgxxrIvb7j/Qs1n1udruP+5aQj7o2e4/zF1LyAc93z8MAiuHFtnuPyqpE9BE2O4/SFD8GHPX7j+Q5PIf0m/HPzjWxW00gNc/BIGVQ4tsxz9S6gQ0ETasP2b35GGh1u4/hJ7Nqs/V7j+iRbbz/dTuP8Dsnjws1O4/3pOHhVrT7j/7OnDOiNLuPxniWBe30e4/jTws1JrmfT83iUFg5dDuP3Joke18P9E/VTAqqRPQ7j+wne+nxkvPP6xp3nGKjsw/qDXNO07RwT9z1xLyQc/uP3Qkl/+Qftc/rrZif9k90T8oOpLLf0jPP5F++zpwzu4/wcEXJlMFsz+vJeSDns3uP7ByaJHtfNM/sHJoke181z/NzMzMzMzuP+tztRX7y+4/CBueXinL7j8mwoanV8ruP3wUrkfhesQ/7MA5I0p70z+hkjoBTYS9Pyh+jLlrCck/oNY07zhFzz9EaW/whcnuP2IQWDm0yO4/gLdAguLH7j8IrBxaZDvfP7SEfNCzWcU/UvwYc9cSoj/iJjEIrByqP3BfB84ZUcI/nl4pyxDH7j/SRNjw9EqpP0T67evAOd8/AyL99nXgnD+8BRIUP8buP9qs+lxtxe4/gEi/fR043z+pglFJnYC2P/hT46WbxO4/FvvL7snD7j80orQ3+MLuP1FJnYAmwu4/b/CFyVTB7j/qBDQRNjzRP6AaL90kBsk/LCEf9GxWxT+Nl24Sg8DuP6s+V1uxv+4/JAaBlUOLzD+8lpAPejbfP8nlP6Tfvu4/54wo7Q2+7j8mUwWjkjrRPwU0ETY8ve4/YqHWNO840T+8uI0G8BbAPwCRfvs6cMY/GHPXEvJBzz8j2/l+arzuP3gtIR/0bMY/QYLix5i77j8GL90kBoGFP7FyaJHtfL8/+ORhodY03z9eKcsQx7ruPwGaCBueXrk/fNCzWfW57j8Zu7iNBvBmP5APejarPs8/mnecoiO57j80MzMzMzPfP7gehetRuO4/nKIjufyHzD/WxW00gLfuP/RsVn2utu4/EhQ/xty17j8wuycPC7XuPygPC7WmedM/8Xw/NV66uT+e76fGSzfRP05iEFg5tO4/boEExY8x3z/swDkjSnvXP2wJ+aBns+4/KA8LtaZ51z8IrBxaZDvPP6rP1VbsL98/ZF3cRgN41z+KsOHplbLuP6dXyjLEse4/5h2n6Egu3z/F/rJ78rDuP+Olm8QgsO4/DHGsi9towD8BTYQNT6/uPx/0bFZ9ru4/PZtVn6ut7j9izF1LyAetP1tCPujZrO4/eekmMQis7j+A+zpwzojKP5eQD3o2q+4/oKut2F921z+1N/jCZKruP9Le4AuTqe4/8IXJVMGo7j8OLbKd76fuPyJseHqlLN8/LNSa5h2n7j9eukkMAivfP0p7gy9Mpu4/uWsJ+aBnsz9kXdxGA3jTP9o9eVioNdE/GLfRAN4CyT8hp+hILv+xP2gibHh6pe4/hslUwaik7j+aCBueXinfP9ZW7C+7J98/pHA9Ctej7j/CFyZTBaPuP5BTdCSX/8g/EqW9wRcm3z/gvg6cM6LuP/1l9+Rhoe4/TvOOU3Qk3z9Ckst/SL+tPxsN4C2QoO4/eQKaCBuevj85tMh2vp/uP1dbsb/snu4/hMDKoUW2wz91ApoIG57uP5OpglFJne4/2vl+arx01z+xUGuad5zuP4pBYOXQIt8/CV+YTBWMuj8WSFD8GHPXP8/3U+Olm+4/QaTfvg6csz/tnjws1JruPwtGJXUCmu4/KO0NvjCZ7j9GlPYGX5juP8SPMXctId8/UpYhjnVx1z9kO99PjZfuP/SX3ZOHhco/juTyH9Jv1z8A3gIJih/fP4Lix5i7lu4/yjLEsS5u1z+gq63YX3bTP+j7qfHSTcI/IuviNhrAqz88LNSa5h3fP9r5fmq8dNM/FD/G3LWEzD94eqUsQxzfPxmV1AloIrw/IlyPwvUorD+M22gAb4HMP6CJsOHple4/vjCZKhiV7j/c14FzRpTuP/p+arx0k+4/GCZTBaOS7j+0yHa+nxrfPzbNO07Rke4/BoGVQ4ts1z/wycNCrWnGP1N0JJf/kO4/8BZIUPwY3z9xGw3gLZDuP4/C9Shcj+4/rWnecYqO7j/LEMe6uI3uP+m3rwPnjO4/6fup8dJNsj8HX5hMFYzuPyUGgZVDi+4/BHgLJCh+zD9DrWnecYruP2FUUiegie4/4VgXt9EAvj+s+lxtxf7CP377OnDOiO4/Qs9m1edq1z+coiO5/IfuPyxlGeJYF98/fh04Z0Rp1z+SbOf7qfGiP2iz6nO1Fd8/umsJ+aBn1z84GsBbIEHBP8aI0t7gC4M/ukkMAiuH7j8WjErqBDTRP9jw9EpZhu4/pAG8BRIU3z9Bxty1hHywP/a52or9Zdc/INJvXwfOwT8IG55eKcvAPzAIrBxaZNc/4E+Nl24S3z/2l92Th4XuPxQ/xty1hO4/MuauJeSD7j9i7lpCPuipP2hmZmZmZsY/UI2XbhKD7j9uNIC3QILuP3JPHhZqTaM/Gp5eKcsQ3z+M22gAb4HuP6qCUUmdgO4/bFZ9rrZi1z/HKTqSy3/uP/xcbcX+ssM/5dAi2/l+7j8DeAskKH7uP3wUrkfhesw/UdobfGEytT8I8BZIUPzIPyEf9GxWfe4/Df32deCccT8/xty1hHzuP4C3QILix8A/9LBQa5p3zD9dbcX+snvuP1bsL7snD98/cSSX/5B+uz+SOgFNhA3fP86I0t7gC98/exSuR+F67j8K16NwPQrfP5m7lpAPeu4/t2J/2T157j+ASL99HTjPP9QJaCJseO4/8rBQa5p37j8QWDm0yHbuP2w0gLdAgso/Q/OOU3Qklz8u/yH99nXuP6ikTkATYdc/TKYKRiV17j9GJXUCmgjfP4JzRpT2Bt8/ak3zjlN07j8kl/+QfvvCP4j029eBc+4/ppvEILBy7j/EQq1p3nHuP+LplbIMce4/UVInoImwsT8WSFD8GHPTPwCRfvs6cO4/HThnRGlv7j8730+Nl27uP7Kd76fGS6c/WYY41sVt7j9Cm1Wfq62oP3ctIR/0bO4/ldQJaCJs7j+Dc0aU9gafP1DaG3xhMtE/s3vysFBr7j/RItv5fmruP+/Jw0Ktae4/DXGsi9to7j/RzMzMzMy8PyoYldQJaO4/SL99HThn7j9mZmZmZmbuP4QNT6+UZe4/orQ3+MJk7j++wRcmUwXfP8BbIEHxY+4/+ORhodY0zz/eAgmKH2PuP/yp8dJNYu4/GlHaG3xh7j84+MJkqmDuP1afq63YX+4/mG4Sg8DKwT9zRpT2Bl/uP5HtfD81Xu4/+g/pt68D3z/k8h/Sb1/XPzZeukkMAt8/SaYKRiV1sj+vlGWIY13uP807TtGRXO4/6+I2GsBb7j+MKO0NvjDRPwmKH2PuWu4/9LBQa5p3xD/Idr6fGi/RPycxCKwcWu4/UpYhjnVx0z9F2PD0SlnuP+TQItv5fso/fIy5awn5yD9jf9k9eVjuP4AmwoanV+4/ns2qz9VW7j+8dJMYBFbuP9obfGEyVe4/juTyH9Jv0z9cbcX+snvKPyBB8WPMXdc/+MJkqmBU7j98HThnRGnHPxZqTfOOU+4/wo8xdy0hrz9oTfOOU3TMPzQRNjy9Uu4/9Lnaiv1lxz9SuB6F61HuP2CYTBWMSsI/cF8HzhlR7j9wrIvbaADfP6z6XG3F/t4/jgbwFkhQ7j9wgQTFjzHPP+hILv8h/d4/rK3YX3ZP7j/JVMGopE7uP+f7qfHSTe4/YTvfT42Xvj8Fo5I6AU3uPyNKe4MvTO4/yjLEsS5u0z9B8WPMXUvuP/QoXI/C9cg/X5hMFYxK7j99PzVeuknuP+gdp+hILs8/m+Ydp+hI7j+Ry39Iv329P7mNBvAWSO4/JJf/kH773j8x3SQGgZWzPxlhw9MrZWk/XI/C9Shc1z/WNO84RUfuP5L2Bl+YTKU/9NvXgXNG7j8Sg8DKoUXuPwaBlUOLbNM/MCqpE9BE7j9O0ZFc/kPuP2x4eqUsQ+4/+Zfdk4eFuj/cAgmKH2PGP2Dl0CLb+d4/Wf5D+u3rsD+KH2PuWkLuP0LPZtXnatM/nDOitDf43j/YgXNGlPbeP6jGSzeJQe4/xm00gLdA7j/UCWgibHjKP6S9wRcmU8U/FNBE2PD03j9QHhZqTfPeP4xs5/up8d4/bMX+snvyyD/kFB3J5T/uPwK8BRIUP+4/BmHD0ytliT8fY+5aQj7uPxGcM6K0N7g/xrq4jQbw3j89CtejcD3uP1uxv+yePO4/fh04Z0Rp0z9RdCSX/5C+P3lYqDXNO+4/aE3zjlN0xD8CCYofY+7eP1y6SQwCK88/l/+Qfvs67j+1pnnHKTruP9NNYhBYOe4/mN2Th4Va1z8ExY8xdy3RP9H3U+Olm7Q/8fRKWYY47j+cM6K0N/jCPw+cM6K0N+4/bFZ9rrZixz8tQxzr4jbuP0rqBDQRNu4/aJHtfD817j+GONbFbTTuPxxaZDvfT8U/Pldbsb/s3j/g6ZWyDHHEP3qlLEMc694/pN++Dpwz7j9AE2HD0yvRP8KGp1fKMu4/+FPjpZvEwD/gLZCg+DHuP7bz/dR46d4//tR46SYx7j8y7zhFR3KpPxx8YTJVMO4/8kHPZtXn3j86I0p7gy/uPy6QoPgx5t4/WMoyxLEu7j9q3nGKjuTeP6YsQxzr4t4/dXEbDeAt7j/iehSuR+HeP1lkO99Pjbc/kxgEVg4t7j+xv+yePCzuP89m1edqK+4/7Q2+MJkq7j9pb/CFyVSxPxzJ5T+k394/C7Wmeccp7j9w8IXJVMHAP+DplbIMccw/1CtlGeJY1z8pXI/C9SjuP+RhodY078g/RwN4CyQo7j9YF7fRAN7eP1z+Q/rt68g/ZapgVFIn7j8N8BZIUPx4P5RliGNd3N4/fGEyVTAq0T+DUUmdgCbuPxB6Nqs+V9c/oPgx5q4l7j/Qs1n1udrePwwCK4cW2d4/vp8aL90k7j/cRgN4CyTuP0zIBz2bVdc/+u3rwDkj7j8YldQJaCLuPzY8vVKWIe4/AiuHFtnOpz9U46WbxCDuP3KKjuTyH+4/kDF3LSEf7j9RhA1Pr5S1P9RW7C+7J88/rthfdk8e7j/Mf0i/fR3uP+kmMQisHO4/B84ZUdob7j9M845TdCTPP4YW2c73U9c/JXUCmggb7j/CZKpgVFLXP1iGONbFbcw/Qxzr4jYa7j9IUPwYc9feP4SezarP1d4/YcPTK2UZ7j/SNO84RUeiP7prCfmgZ9M/MuauJeSDrj9/arx0kxjuP7ivA+eMKNE/TKYKRiV1yj+dEaW9wRfuP7u4jQbwFu4//rJ78rBQ1z/A7J48LNTeP9lfdk8eFu4/OgFNhA1P1z/2Bl+YTBXuPxSuR+F6FO4/I0Mc6+I2mj8yVTAqqRPuP1D8GHPXEu4/bqMBvAUS7j/2udqK/WXTP3ZPHhZqTdc/1JrmHafoyD+MSuoENBHuPzAIrBxaZNM/qvHSTWIQ7j/ImLuWkA/uP7Kd76fGS9c//DpwzojS3j/mP6Tfvg7uPwTnjCjtDe4/Io51cRsN7j8/NV66SQzuP13cRgN4C+4/e4MvTKYK7j+ZKhiV1AnuP7fRAN4CCe4/1XjpJjEI7j9BrWnecYq+P/Mf0m9fB+4/Ece6uI0G7j8vbqMBvAXuP8PTK2UZ4pg/TBWMSuoE7j84iUFg5dDeP2q8dJMYBO4/iGNd3EYD7j+mCkYldQLuP8SxLm6jAe4/ctcS8kHP3j+uJeSDns3eP+JYF7fRAO4/MgisHFpkqz8AAAAAAADuPx6n6Egu/+0/PE7RkVz+7T9a9bnaiv3tP3icoiO5/O0/6nO1FfvL3j/0/dR46SbRPwHeAgmKH7M/gQTFjzF3vT+VQ4ts5/vtPzBMpgpGJdE/JsKGp1fK3j+z6nO1FfvtP9GRXP5D+u0/7uvAOSNK1z/vOEVHcvntPw3gLZCg+O0/KjqSy39I1z8rhxbZzvftP0ku/yH99u0/0U1iEFg5tD9smnecoiPRP2fV52or9u0/hXzQs1n17T+m6Egu/yHRP6IjufyH9O0/wMqhRbbz7T/ecYqO5PLtP2aIY13cRtc/YhBYObTI3j/8GHPXEvLtPxrAWyBB8e0/OGdEaW/w7T9sVn2utmLTP1YOLbKd7+0/otY07zhF1z9y6SYxCKysP55eKcsQx94/dLUV+8vu7T/iNhrAWyDRP5Jc/kP67e0/sAPnjCjt7T8U0ETY8PTCP1iGONbFbcQ/3CQGgZVD1z/Oqs/VVuztP+tRuB6F6+0/CfmgZ7Pq7T8zzH9Iv31dPyegibDh6e0/0CLb+X5qxD9FR3L5D+ntP2PuWkI+6O0/HoXrUbge0T+BlUOLbOftP5T2Bl+YTMU/ohPQRNjwpD+fPCzUmubtP+JhodY076g/veMUHcnl7T/biv1l9+TtP/gx5q4l5O0/FtnO91Pj7T/EQq1p3nHKP8SPMXctIc8/NIC3QILi7T9SJ6CJsOHtP9qs+lxtxd4/cM6I0t7g7T+OdXEbDeDtP9GRXP5D+r0/6Iwo7Q2+wD8W+8vuycPeP3HwhclUwbg/rBxaZDvf7T/Kw0Ktad7tP6ikTkATYdM/6Gor9pfd7T8xorQ3+MK0P+TyH9JvX9M/BhIUP8bc7T9a07zjFB3RP1JJnYAmwt4/JLn8h/Tb7T9BYOXQItvtP18HzhlR2u0/fa62Yn/Z7T8QC7WmecfBP5tVn6ut2O0/TDeJQWDlyD+5/If029ftP6Grrdhfdr8/DJOpglFJxT8Yc9cS8kHXP9ejcD0K1+0/xq3YX3ZPjj+Ol24Sg8DeP1Sfq63YX8Y/9UpZhjjW7T8T8kHPZtXtPzGZKhiV1O0/TkATYcPT7T9s5/up8dLtP8jlP6Tfvt4/liGOdXEb0T+KjuTyH9LtPwQ0ETY8vd4/qDXNO07R7T/G3LWEfNDtP1TBqKROQNc/QILix5i73j/kg57Nqs/tP0LfT42XbqI/AiuHFtnO7T980LNZ9bneP7gehetRuN4/iKdXyjLEwT8g0m9fB87tPz55WKg1ze0/XCBB8WPM7T/0bFZ9rrbeP3rHKTqSy+0/0CLb+X5qzD/E0ytlGeLIP5huEoPAyu0/MLsnDwu13j+1FfvL7sntP2wJ+aBns94/07zjFB3J7T/xY8xdS8jtP+TyH9JvX8c/QmDl0CLbqT/MO07RkVzGPw8LtaZ5x+0/LbKd76fG7T+ppE5AE2GzP0tZhjjWxe0/qFfKMsSx3j+wtmJ/2T3BP2kAb4EExe0/kA96Nqs+1z+Hp1fKMsTtP42jAbwFEnQ/keTyH9Jvvz+kTkATYcPtP3K8dJMYBKY/wvUoXI/C7T88LNSa5h3PP+CcEaW9we0//kP67evA7T8c6+I2GsDtP+Slm8QgsN4/zF1LyAc91z+5BRIUP8a8PwKI9NvXgaM/OpLLf0i/7T9YObTIdr7tP3bgnBGlve0/lIeFWtO87T+yLm6jAbztP0TY8PRKWcY/0NVW7C+77T/ysFBrmnesP+58PzVeuu0/CyQofoy57T8pyxDHurjtPx70bFZ9rt4/R3L5D+m37T9aQj7o2azeP2UZ4lgXt+0/g8DKoUW27T9cj8L1KFzHP6Fns+pzte0/lpAPejar3j+/DpwzorTtP7TIdr6fGs8/3bWEfNCz7T/7XG3F/rLtPxgEVg4tsu0/LGUZ4lgXzz82qz5XW7HtP9Le4AuTqd4/VFInoImw7T9y+Q/pt6/tP5Cg+DHmru0/PHDOiNLeyD+uR+F6FK7tP8zuycNCre0/tAxxrIvbyD8OLbKd76feP8HKoUW2870/DX9qvHSTeD8iFmpN846jP9k07zhFR7I/pAG8BRIUzz9Ke4MvTKbeP+qVsgxxrO0/0m9fB84Z0T9Iv30dOGfMP8mYu5aQD7o/hslUwaik3j/CFyZTBaPePwZrK/aX3YM/CD2bVZ+r7T8m5IOezartP/5l9+Rhod4/CKwcWmQ71z9E+u3rwDnXP0SLbOf7qe0/OrTIdr6f3j90ApoIG57eP2EyVTAqqe0/HJ5eKcsQzz9/2T15WKjtP9G84xQdybU/nYAmwoan7T+7Jw8LtabtPw6+MJkqGNE/SgwCK4cW0T+ASL99HTjXP9nO91Pjpe0/93XgnBGl7T+EL0ymCkbFP7BQa5p3nN4/FR3J5T+k7T8zxLEubqPtP1Frmnecou0/vJaQD3o21z/jzvdT46WbP24Sg8DKoe0/PN9PjZduyj/AWyBB8WPMPyipE9BE2Mg/jLlrCfmg7T+qYFRSJ6DtP8gHPZtVn+0/7J48LNSa3j8o7Q2+MJneP0mdgCbChrc/5q4l5IOe7T8EVg4tsp3tPyL99nXgnO0/QKTfvg6c7T9Z7C+7Jw+7P/jkYaHWNNc/XkvIBz2b7T988rBQa5rtPzQzMzMzM9c/boEExY8x1z9kO99PjZfeP4xs5/up8cI/mpmZmZmZ7T84+MJkqmDMP7dAguLHmO0/YV3cRgN4uz/V52or9pftPyBB8WPMXdM/845TdCSX7T/8y+7Jw0LFP6BFtvP91Mg//EP67evAwT8RNjy9UpbtPy/dJAaBle0/TYQNT6+U7T8ECYofY+7CP2sr9pfdk+0/SL99HThnxD9cj8L1KFzTP4QNT6+UZcA/idLe4AuT7T+neccpOpLtP9QrZRniWMc/xCCwcmiR7T8jbqMBvAWSP+LHmLuWkO0/oImw4emV3j+qz9VW7C/XPwBvgQTFj+0/HhZqTfOO7T88vVKWIY7tP7CUZYhjXcw/WmQ730+N7T/mHafoSC7XP3gLJCh+jO0/lrIMcayL7T+UOgFNhA3PPygxCKwcWsw/CNejcD0Kzz8ibHh6pSzXP166SQwCK9c/mN2Th4Va0z/c14FzRpTePzlwzojS3rA/GCZTBaOS3j+0WfW52ortPwHVeOkmMbg/0gDeAgmK7T/wp8ZLN4ntP5oIG55eKdc/vHSTGARWxj8NT6+UZYjtPyv2l92Th+0/SZ2AJsKG7T9nRGlv8IXtP4XrUbgehe0/GOJYF7fRyD8SBFYOLbKtP1R0JJf/kN4/47BQa5p3nD+QwvUoXI/eP8oQx7q4jd4/oM2qz9VWzD+jkjoBTYTtP8E5I0p7g+0/3+ALk6mC7T/9h/Tb14HtP9ZW7C+7J9c/tHvysFBryj8aL90kBoHtPzjWxW00gO0/Vn2utmJ/7T90JJf/kH7tP5LLf0i/fe0/sHJoke187T/OGVHaG3ztP+zAOSNKe+0/CmgibHh67T8GX5hMFYzePygPC7Wmee0/4pOHhVrTrD9GtvP91HjtPxKlvcEXJtc/cPkP6bevwz9CrWnecYreP2Nd3EYDeO0/8Q2+MJkquD9++zpwzojeP4EExY8xd+0/Bv32deCcgT904JwRpb3BP5+rrdhfdu0/FGpN845TzD/UK2UZ4ljTP4wG8BZIUMw/vVKWIY517T9O845TdCTXP9v5fmq8dO0/ukkMAiuH3j/5oGez6nPtP9Lw9EpZhqg/ikFg5dAi1z/EjzF3LSHXPxdIUPwYc+0/9pfdk4eF3j8y5q4l5IPePwDeAgmKH9c/Ne84RUdy7T9TliGOdXHtP6mL22gAb7E/bjSAt0CC3j88LNSa5h3XP3A9CtejcO0/2Rt8YTJVsD+O5PIf0m/tPxB6Nqs+V9M/rIvbaABv7T+qglFJnYDeP8oyxLEubu0/6Nms+lxt7T+Zu5aQD3q2PwaBlUOLbO0/JCh+jLlr7T+Qfvs6cM7IP3h6pSxDHNc/Qs9m1edq7T/m0CLb+X7eP2B2Tx4Wau0/tMh2vp8a1z9+HThnRGntP5zEILByaO0/umsJ+aBn7T+50QDeAgm6P9cS8kHPZu0/9bnaiv1l7T8TYcPTK2XtPzEIrBxaZO0/fKUsQxzrwj8gH/RsVn3ePxKcM6K0N6g/XG3F/rJ73j+Yu5aQD3reP4Za07zjFNE/wFsgQfFjxD+GRpT2Bl+IP0+vlGWIY+0/1AloImx43j9tVn2utmLtP4v9ZffkYe0/qaROQBNh7T/GSzeJQWDtP+TyH9JvX+0/TMgHPZtV0z8QWDm0yHbePwKaCBueXu0/IEHxY8xd7T/wFkhQ/BjXPz7o2az6XO0/XI/C9Shc7T9MpgpGJXXeP4j029eBc94/ejarPldb7T+Y3ZOHhVrtP7aEfNCzWe0/OPjCZKpgxD+BHThnRGm/P9QrZRniWO0/hhbZzvdT0z/y0k1iEFjtP4HAyqFFtrM/BKOSOgFNzD/EQq1p3nHeP8JkqmBUUtM/LGUZ4lgX1z/CqKROQBPRP4bV52or9oc/7Hw/NV66wT+ycmiR7XyvPwCRfvs6cN4/Mf8h/fZ1sD8QejarPlftPy0hH/RsVu0/MeauJeSDvj8830+Nl27eP0vIBz2bVe0/aLPqc7UV1z9pb/CFyVTtP4cW2c73U+0/In6MuWsJqT+Ac0aU9gbPP/yp8dJNYsA/pb3BFyZT7T/DZKpgVFLtP3YtIR/0bN4/4QuTqYJR7T//snvysFDtPx1aZDvfT+0/OgFNhA1P7T+kAbwFEhTXP1ioNc07Tu0/6JWyDHGswz92Tx4Wak3tP5T2Bl+YTO0/fD81XrpJzD+ye/KwUGveP+7Jw0Ktad4/sp3vp8ZL7T+ytmJ/2T2pP9BE2PD0Su0/7uvAOSNK7T8Mk6mCUUntPyo6kst/SO0/+A/pt68Dzz9I4XoUrkftP/6ye/KwUNM/ZohjXdxG7T+DL0ymCkbtPyoYldQJaN4/odY07zhF7T+/fR04Z0TtP90kBoGVQ+0/+8vuycNC7T/JVMGopE6wPxlz1xLyQe0/NxrAWyBB7T9VwaikTkDtPzIzMzMzM6M/ZmZmZmZm3j80ETY8vVLGP6K0N/jCZN4/CBueXinLyD9zaJHtfD/tP5APejarPu0//PZ14JwR0T+utmJ/2T3tP8xdS8gHPe0/3gIJih9j3j8z9gZfmExVP+oENBE2PO0/GlHaG3xh3j8IrBxaZDvtP1afq63YX94/ku18PzVe3j8mUwWjkjrtP0T67evAOe0/YqHWNO847T+ASL99HTjtP847TtGRXN4/nu+nxks37T+8lpAPejbtPwiKH2PuWt4/RNjw9EpZ3j/ZPXlYqDXtP+BPjZduEtc/cT0K16NwvT8anl4pyxDXP/fkYaHWNO0/FYxK6gQ07T86AU2EDU/TPzMzMzMzM+0/UdobfGEy7T9vgQTFjzHtP40o7Q2+MO0/Q6+UZYhjnT+rz9VW7C/tP1bsL7snD9c/8nXgnBGlrT8kUwWjkjrBP8l2vp8aL+0/5h2n6Egu7T84RUdy+Q/RP4AmwoanV94/kjoBTYQN1z+8dJMYBFbePwTFjzF3Le0/+MJkqmBU3j/OiNLe4AvXPzQRNjy9Ut4/cF8HzhlR3j8ibHh6pSztPywYldQJaMo/rK3YX3ZP3j9AE2HD0yvtP+j7qfHSTd4/XrpJDAIr7T9gKcsQx7rAP4n9ZffkYbE/fGEyVTAq7T9wrIvbaADPP0zIBz2bVcc/mggbnl4p7T+4rwPnjCjtP9ZW7C+7J+0/6Egu/yH9zj/0/dR46SbtP3ZPHhZqTdM/EqW9wRcm7T8vTKYKRiXtP3RGlPYGX8A/JEp7gy9M3j9emEwVjErePwrXo3A9Ctc/TfOOU3Qk7T9rmnecoiPtP5rmHafoSN4/iUFg5dAi7T+C8rBQa5qnP7Kd76fGS9M/p+hILv8h7T/FjzF3LSHtP8GGp1fKMrQ/4zYawFsg7T8B3gIJih/tPx+F61G4Hu0/MFUwKqkTwD88LNSa5h3tP1rTvOMUHe0/eHqlLEMc7T9GJXUCmgjXP7ED54wo7b0/dJMYBFYO0T+WIY51cRvtP7TIdr6fGu0/ifTb14Fztj/Sb18HzhntP/AWSFD8GO0/Dr4wmSoY7T/WNO84RUfePyxlGeJYF+0/SgwCK4cW7T+Cc0aU9gbXP2iz6nO1Fe0/sOHplbIM0T+FWtO84xTtP/BBz2bV58I/owG8BRIU7T/BqKROQBPtPxKDwMqhRd4/30+Nl24S7T/99nXgnBHtP07RkVz+Q94/G55eKcsQ7T9gMlUwKqnDPzlFR3L5D+0/V+wvuycP7T91kxgEVg7tP+7rwDkjStM/ih9j7lpC3j++wRcmUwXXPw1hw9MrZXk/+g/pt68D1z82XrpJDALXP5I6AU2EDe0/sOHplbIM7T/OiNLe4AvtP+wvuycPC+0/SSV1ApoIuz8K16NwPQrtPyh+jLlrCe0/RiV1ApoI7T9g5dAi2/nOP2TMXUvIB+0/gnNGlPYG7T9wrIvbaADXP8ZtNIC3QN4/ArwFEhQ/3j/RK2UZ4li3P5JTdCSX/6A/oBov3SQG7T++wRcmUwXtP6z6XG3F/tY/6Egu/yH91j8kl/+QfvvWP9xoAG+BBO0/+Q/pt68D7T8ZUPwYc9diPxe30QDeAu0/2IFzRpT2zj81XrpJDALtP7CUZYhjXcQ/YOXQItv51j9TBaOSOgHtP3Gsi9toAO0/j1N0JJf/7D+t+lxtxf7sP8uhRbbz/ew/2bWEfNCzuT+At0CC4sfIP+hILv8h/ew/nDOitDf41j9Dxty1hHyQPz4K16NwPd4/BvAWSFD87D8kl/+QfvvsP0I+6Nms+uw/YOXQItv57D96WKg1zTveP36MuWsJ+ew/9NvXgXNGzD+cM6K0N/jsPwOsHFpkO58/utqK/WX37D/YgXNGlPbsP8RkqmBUUsc/9ihcj8L17D8U0ETY8PTsPyo6kst/SNM/tKZ5xyk63j8ydy0hH/TsP2aIY13cRtM/Tx4Wak3z7D9txf6ye/LsP/D0SlmGON4/YXZPHhZqvT+LbOf7qfHsP6C0N/jCZMo/bHh6pSxDzD+pE9BE2PDsPxJhw9MrZak/wWSqYFRStz+pPldbsb+8P8e6uI0G8Ow/aN5xio7kwj/lYaHWNO/sP/hT46WbxMg/AwmKH2Pu7D+o8dJNYhDAPyGwcmiR7ew/P1dbsb/s7D9BE2HD0yu1P1z+Q/rt6+w/eqUsQxzr7D+YTBWMSursP6LWNO84RdM/tvP91Hjp7D85vVKWIY61PyxDHOviNt4/1JrmHafo7D/yQc9m1efsPxDpt68D5+w/ZBniWBe3wT9QHhZqTfPOP9iBc0aU9tY/FNBE2PD01j8ukKD4MebsP0w3iUFg5ew/at5xio7k7D+IhVrTvOPsP6UsQxzr4uw/UB4Wak3z1j/D0ytlGeLsP+F6FK5H4ew/aJHtfD813j+k374OnDPeP/HSTWIQWLk//yH99nXg7D8dyeU/pN/sPztwzojS3uw/3LWEfNCzwT9ZF7fRAN7sP+AtkKD4Md4/5BQdyeU/zD93vp8aL93sP5VliGNd3Ow/sgxxrIvb7D+MbOf7qfHWP9CzWfW52uw/7lpCPujZ7D/cJAaBlUPTPwwCK4cW2ew/7C+7Jw8L0T8qqRPQRNjsPygxCKwcWsQ/xrq4jQbw1j8cfGEyVTDeP0hQ/Bhz1+w/oTws1JrmvT9m9+RhodbsP1jKMsSxLt4/hJ7Nqs/V7D9csb/snjzMP6JFtvP91Ow/wOyePCzU7D/ek4eFWtPsPzwBTYQNT8c/+zpwzojS7D8Yc9cS8kHTP5QYBFYOLd4/GeJYF7fR7D/QZtXnaivePzeJQWDl0Ow/CrWmeccp3j9UwaikTkDTP1UwKqkT0Ow/c9cS8kHP7D+Rfvs6cM7sP9RNYhBYOcw/kA96Nqs+0z9M6gQ0ETbMP68l5IOezew/yLq4jQbwzj/NzMzMzMzsP9TFbTSAt8A/63O1FfvL7D8IG55eKcvsPybChqdXyuw/GFHaG3xhyj9EaW/whcnsP2IQWDm0yOw/gLdAguLH7D+eXinLEMfsP9g07zhFR8I/RgN4CyQo3j+8BRIUP8bsP9qs+lxtxew/+FPjpZvE7D8W+8vuycPsPzIhH/RsVq0/NKK0N/jC7D+CUUmdgCbeP8xdS8gHPdM/kO18PzVeyj9RSZ2AJsLsP2/whclUwew/AgmKH2Pu1j+Nl24Sg8DsPz5XW7G/7NY/rK3YX3ZPxj+rPldbsb/sP76fGi/dJN4/yeU/pN++7D/gehSuR+HCP+eMKO0Nvuw/+u3rwDkj3j8GjErqBDSBPwU0ETY8vew/I9v5fmq87D9BguLHmLvsP3Roke18P8U/XinLEMe67D980LNZ9bnsPzY8vVKWId4/mnecoiO57D96pSxDHOvWPwisHFpkO9M/uB6F61G47D9yio7k8h/eP9bFbTSAt+w/9GxWfa627D8SFD/G3LXsPzC7Jw8Ltew/TmIQWDm07D8ofoy5awnRP0BXW7G/7M4/bAn5oGez7D9E+u3rwDnTP4qw4emVsuw/p1fKMsSx7D+ASL99HTjTP1gXt9EA3sI/Uluxv+yerD/F/rJ78rDsP+Olm8QgsOw/AU2EDU+v7D9iVFInoImgP/IvuycPC6U/rthfdk8e3j8kSnuDL0zGPx/0bFZ9ruw/PZtVn6ut7D+08/3UeOnOP7yWkA96NtM/VFInoImwwT9bQj7o2azsP3npJjEIrOw/tvP91Hjp1j+XkA96NqvsP7Q3+MJkquw/0t7gC5Op7D/whclUwajsPw4tsp3vp+w/LNSa5h2n7D9Ke4MvTKbsP6DNqs/VVsQ/aCJseHql7D+GyVTBqKTsP+omMQisHN4/pHA9Ctej7D/CFyZTBaPsP2TMXUvIB9E/8kHPZtXn1j8skKD4MebOP+C+Dpwzouw/+ORhodY00z/+ZffkYaHsPxsN4C2QoOw/JnUCmggb3j85tMh2vp/sPy6QoPgx5tY/at5xio7k1j9gw9MrZRneP1dbsb/snuw/nBGlvcEX3j+kLEMc6+LOP6YsQxzr4tY/dQKaCBue7D/YX3ZPHhbeP5OpglFJnew/TNGRXP5Dwj80MzMzMzPTP7FQa5p3nOw/FK5H4XoU3j/P91PjpZvsP+2ePCzUmuw/CkYldQKa7D8o7Q2+MJnsP1D8GHPXEt4/jErqBDQR3j8cyeU/pN/OP7Cd76fGS8c/4noUrkfh1j+yjQbwFkigP0aU9gZfmOw/ZDvfT42X7D+Dt0CC4seYP8iYu5aQD94/wIanV8oyzD+UZYhjXdzOPxzJ5T+k39Y/guLHmLuW7D+gibDh6ZXsPyg6kst/SMc/WBe30QDe1j++MJkqGJXsP9zXgXNGlOw/cVZ9rrZivz/6fmq8dJPsPwwCK4cW2c4/GCZTBaOS7D82zTtO0ZHsP1R0JJf/kOw/cRsN4C2Q7D+UZYhjXdzWP4/C9Shcj+w/AvmgZ7Pqoz/ZRgN4CyS4P61p3nGKjuw/yxDHuriN7D8NbqMBvAVyPwTnjCjtDd4/UZYhjnVxuz/pt68D54zsPwdfmEwVjOw/JQaBlUOL7D9DrWnecYrsP2FUUiegiew/fvs6cM6I7D9ANV66SQzeP9CzWfW52tY/nKIjufyH7D9Rr5RliGO9P8H1KFyPwrU/fIMvTKYK3j+6SQwCK4fsP9jw9EpZhuw/ttEA3gIJ3j/2l92Th4XsP/If0m9fB94/Lm6jAbwF3j9qvHSTGATePxQ/xty1hOw/MuauJeSD7D9QjZduEoPsP240gLdAguw/jNtoAG+B7D+c76fGSzfBP0Ho2az6XL0/IjhnRGlvoD+qglFJnYDsP8cpOpLLf+w/pgpGJXUC3j/l0CLb+X7sP+JYF7fRAN4/eS0hH/Rstj8DeAskKH7sPyEf9GxWfew/P8bctYR87D8ep+hILv/dP11txf6ye+w/WvW52or93T+WQ4ts5/vdP3sUrkfheuw/mbuWkA967D+gGi/dJAbRP7dif9k9eew/0pFc/kP63T/UCWgibHjsP/KwUGuad+w/hJ7Nqs/Vzj+S3ZOHhVqjPwwCK4cW2dY/EFg5tMh27D8u/yH99nXsP0ymCkYldew/ak3zjlN07D84I0p7gy/MPxLgLZCg+KE/iPTb14Fz7D/Sw0Ktad6hPwzgLZCg+N0/ppvEILBy7D9ILv8h/fbdP8RCrWnecew/4umVsgxx7D8pZRniWBe3P8zuycNCrcE/AJF++zpw7D9IUPwYc9fWP4R80LNZ9d0/HThnRGlv7D/AyqFFtvPdPzvfT42Xbuw//DpwzojSzj9w8IXJVMHIP/wYc9cS8t0/WYY41sVt7D84Z0Rpb/DdP3ctIR/0bOw/ldQJaCJs7D+ze/KwUGvsP9Ei2/l+auw/78nDQq1p7D+CwMqhRbajPw1xrIvbaOw/gjarPldboT90tRX7y+7dPyoYldQJaOw/6AQ0ETY8xT9Iv30dOGfsPzEhH/RsVr0/sdhfdk8etj/CMJkqGJWkP2ZmZmZmZuw/hA1Pr5Rl7D+itDf4wmTsPxlR2ht8YbI/0mbV52orpj+Zd5yiI7m8P8BbIEHxY+w/6Iwo7Q2+yD/eAgmKH2PsP/yp8dJNYuw/GlHaG3xh7D84+MJkqmDsPwiKH2PuWso/AjtwzojSrj+xv+yePCy0P7AD54wo7d0/Vp+rrdhf7D9zRpT2Bl/sP9jO91PjpcM/ke18PzVe7D8BAAAAAACwP1BrmnecosM/r5RliGNd7D9gKcsQx7rIP9CzWfW52sI/zTtO0ZFc7D/r4jYawFvsPwmKH2PuWuw/yAc9m1Wfwz901xLyQc/OPxRqTfOOU8Q/JzEIrBxa7D9F2PD0SlnsP2N/2T15WOw/gCbChqdX7D+ezarP1VbsP7x0kxgEVuw/2ht8YTJV7D/4wmSqYFTsP+xRuB6F690/FmpN845T7D80ETY8vVLsP1K4HoXrUew/boEExY8x0z+Ens2qz9XWP8Dsnjws1NY/cF8HzhlR7D8hH/RsVn2+P44G8BZIUOw/KKCJsOHp3T+srdhfdk/sP5zmHafoSMY/yVTBqKRO7D/n+6nx0k3sP6rP1VbsL9M/BaOSOgFN7D8jSnuDL0zsP+ziNhrAW8A/Yu5aQj7o3T9B8WPMXUvsP+xztRX7y84/njws1Jrm3T9fmEwVjErsP/w6cM6I0tY/2or9Zffk3T99PzVeuknsP7C/7J48LMw/m+Ydp+hI7D+5jQbwFkjsP9Y07zhFR+w/9NvXgXNG7D8Sg8DKoUXsPzAqqRPQROw/FtnO91Pj3T84iUFg5dDWP1InoImw4d0/YKHWNO84xT9y1xLyQc/WP64l5IOezdY/jnVxGw3g3T9O0ZFc/kPsP+pztRX7y9Y/bHh6pSxD7D+KH2PuWkLsPwYi/fZ14Iw/qMZLN4lB7D9gEFg5tMjOPybChqdXytY/xm00gLdA7D9iEFg5tMjWP+QUHcnlP+w/ysNCrWne3T8CvAUSFD/sPwYSFD/G3N0/OYlBYOXQsj8Gk6mCUUmNP0Jg5dAi290/IGPuWkI+7D9+rrZif9ndP9is+lxtxc4/PQrXo3A97D/DBRIUP8acP1uxv+yePOw/Y6MBvAUSlD95WKg1zTvsP9xoAG+BBNE/l/+Qfvs67D+1pnnHKTrsP9NNYhBYOew/jXh6pSxDfD/x9EpZhjjsP7j8h/Tb190/D5wzorQ37D+NjzF3LSF/P/RKWYY41t0/oNY07zhFxz8sQxzr4jbsPxi30QDeAtE/SuoENBE27D9ApN++DpzDP2iR7Xw/New/hjjWxW007D/EbTSAt0DCPxSDwMqhRcY/5h2n6Egu0z9IUPwYc9fCP6Tfvg6cM+w/MJkqGJXU3T/ChqdXyjLsP2zn+6nx0t0/qDXNO07R3T/gLZCg+DHsP/7UeOkmMew/HHxhMlUw7D86I0p7gy/sPznfT42XbrI/WMoyxLEu7D8ibHh6pSzTP+SDns2qz90/KFyPwvUozD92cRsN4C3sPyEWak3zjrM/kxgEVg4t7D+xv+yePCzsP89m1edqK+w/GVpkO99PvT/tDb4wmSrsP4LHKTqSy68/UgWjkjoB0T+eXinLEMfWP9qs+lxtxdY/INJvXwfO3T8LtaZ5xynsP0ZQ/Bhz14I/KVyPwvUo7D+OU3Qkl//QP0cDeAskKOw/XrpJDAIr0z9cIEHxY8zdP1BJnYAmws4/ZapgVFIn7D+DUUmdgCbsP6D4MeauJew/FvvL7snD1j9MYhBYObTAP76fGi/dJOw/3EYDeAsk7D/67evAOSPsP1JJnYAmwtY/oPgx5q4lzD8YldQJaCLsPzY8vVKWIew/cfkP6bevsz9U46WbxCDsP46XbhKDwNY/GHPXEvJBxz9yio7k8h/sP5Axdy0hH+w/II51cRsNwD+YbhKDwMrdP7H6XG3F/rI/rthfdk8e7D+AJsKGp1fKP8x/SL99Hew/EVg5tMh2vj/pJjEIrBzsPwfOGVHaG+w/ss/VVuwvqz8ldQKaCBvsP0Mc6+I2Guw/YcPTK2UZ7D9/arx0kxjsP50Rpb3BF+w/u7iNBvAW7D/ZX3ZPHhbsP7KEfNCzWaU/xP6ye/KwwD/2Bl+YTBXsPxSuR+F6FOw/MlUwKqkT7D9Q/Bhz1xLsP26jAbwFEuw/jErqBDQR7D+xne+nxku3P6rx0k1iEOw/yJi7lpAP7D/I5T+k377OP9He4AuTqbI/5j+k374O7D/I5T+k377WPwTnjCjtDew/Io51cRsN7D9yJJf/kH6rPz81XrpJDOw/XdxGA3gL7D97gy9MpgrsP5kqGJXUCew/4qWbxCCwoj+30QDeAgnsP5APejarPsc/1LzjFB3J3T/VeOkmMQjsP/Mf0m9fB+w/ozXNO07RkT8Rx7q4jQbsPy9uowG8Bew/BDQRNjy91j9MFYxK6gTsP8qhRbbz/dA/arx0kxgE7D+IY13cRgPsP4PLf0i/fZ0/pgpGJXUC7D/UxW00gLfIP0SLbOf7qcE/xLEubqMB7D/iWBe30QDsPwAAAAAAAOw/HqfoSC7/6z8OC7WmecfdP9kS8kHPZrU/PE7RkVz+6z9SN4lBYOWgP1r1udqK/es/mggbnl4p0z94nKIjufzrP0CC4seYu9Y/lkOLbOf76z+z6nO1FfvrP0pZhjjWxd0/BvAWSFD80D/RkVz+Q/rrP4anV8oyxN0/7zhFR3L56z/C9Shcj8LdPw3gLZCg+Os/K4cW2c736z9JLv8h/fbrP/5D+u3rwN0/Z9Xnaiv26z+EfNCzWfXrP6IjufyH9Os/IvRsVn2upj980LNZ9bnWP8DKoUW28+s/OpLLf0i/3T/ecYqO5PLrP8KxLm6jAaw//Bhz1xLy6z/WVuwvuyfTPxrAWyBB8es/w/6ye/KwkD9ymnecoiOpP8Dsnjws1MI/OGdEaW/w6z8YldQJaCLMP1YOLbKd7+s/dLUV+8vu6z+SXP5D+u3rP7AD54wo7es/zqrP1Vbs6z/C9Shcj8KlP+xRuB6F6+s/uB6F61G41j8J+aBns+rrPyegibDh6es/duCcEaW93T+MBvAWSFDEPw1yio7k8n8/yX9Iv30duD9FR3L5D+nrP2PuWkI+6Os/Qj7o2az60D+QMXctIR/MPwisHFpkO8c/si5uowG83T+BlUOLbOfrPxKlvcEXJtM/9GxWfa621j9CLv8h/falP588LNSa5us/veMUHcnl6z/ufD81XrrdPyrLEMe6uN0/24r9Zffk6z+RqYJRSZ2wP/gx5q4l5Os/FtnO91Pj6z/p0CLb+X66P2QZ4lgXt90/foy5awn50D80gLdAguLrP6Bns+pztd0/2D15WKg1xT8wuycPC7XWP1InoImw4es/cM6I0t7g6z/ctYR80LPdP1mPwvUoXL8/bAn5oGez1j+OdXEbDeDrP6wcWmQ73+s/ysNCrWne6z9O845TdCTTPxgEVg4tst0/6Gor9pfd6z8DO3DOiNKePwYSFD/G3Os/uECC4seYwz8kufyH9NvrP0Jg5dAi2+s/XwfOGVHa6z99rrZif9nrP5tVn6ut2Os/ufyH9NvX6z/Xo3A9CtfrP0nIBz2bVb8/9UpZhjjW6z8T8kHPZtXrPzGZKhiV1Os/VFInoImw3T/x/dR46SaxP05AE2HD0+s/bOf7qfHS6z+KjuTyH9LrP6g1zTtO0es/CM4ZUdobzD/G3LWEfNDrP5Cg+DHmrt0/KakT0ETYsD+SD3o2qz6nPxmeXinLELc/CdejcD0Ktz+YKhiV1AnAP+SDns2qz+s/zO7Jw0Kt3T8IPZtVn6vdP/LSTWIQWKk/QILix5i7zj9Ei2zn+6ndP6hXyjLEsdY/EeAtkKD4sT/kpZvEILDWPwIrhxbZzus/gNk9eVio3T8e9GxWfa7WPyDSb18Hzus/kv+Qfvs6oD+KQWDl0CLTPz55WKg1zes/XCBB8WPM6z8UjErqBDTBP8SPMXctIdM/escpOpLL6z+YbhKDwMrrP9LO91Pjpas/tRX7y+7J6z/TvOMUHcnrP/FjzF1LyOs/Dwu1pnnH6z/DpnnHKTqSP1pCPujZrNY/LbKd76fG6z+Aarx0kxjMP7onDwu1pt0/OV66SQwCuz9LWYY41sXrP9JdS8gHPas/aQBvgQTF6z/2deCcEaXdP4enV8oyxOs/MsSxLm6j3T+kTkATYcPrP8L1KFyPwus/4JwRpb3B6z/+Q/rt68DrPxzr4jYawOs/+MJkqmBUyj86kst/SL/rP/kP6bevA7c/WDm0yHa+6z+WkA96NqvWP3bgnBGlves/lIeFWtO86z+yLm6jAbzrP9DVVuwvu+s/7nw/NV666z/S3uALk6nWP2IyVTAqqaM/utqK/WX30D9uEoPAyqHdP6pgVFInoN0/CyQofoy56z8pyxDHurjrP0dy+Q/pt+s/5q4l5IOe3T9lGeJYF7frP4PAyqFFtus/uB6F61G4zj9wXwfOGVHKPzkBTYQNT78/6Pup8dJNyj8ybqMBvAWiP6Fns+pztes/AN4CCYof0z+/DpwzorTrPyL99nXgnN0/3bWEfNCz6z+MKO0NvjDBP/pcbcX+sus/YSnLEMe6uD8YBFYOLbLrPzarPldbses/VFInoImw6z/2KFyPwvXQP15LyAc9m90/cl8HzhlRqj9y+Q/pt6/rPw4tsp3vp9Y/PCzUmuYd0z8ExY8xdy3BP3h6pSxDHNM/mpmZmZmZ3T+QoPgx5q7rP65H4XoUrus/MnctIR/00D/M7snDQq3rP7TIdr6fGtM/1udqK/aX3T+iI7n8h/SrPxI2PL1Slt0/+AZfmEwVzD9Ke4MvTKbWPwSjkjoBTcQ/bKMBvAUSzD/qlbIMcazrPwg9m1Wfq+s/JuSDns2q6z/wFkhQ/BjTP0SLbOf7qes/YjJVMCqp6z88CtejcD3CP3/ZPXlYqOs/nYAmwoan6z+7Jw8LtabrP0yEDU+vlN0/iNLe4AuT3T/EILByaJHdP9nO91Pjpes/fGEyVTAqwT/3deCcEaXrPxUdyeU/pOs/M8SxLm6j6z9Qa5p3nKLrP24Sg8DKoes/jLlrCfmg6z8BkX77OnC+PynChqdXyrI/iB9j7lpCxj+qYFRSJ6DrPwBvgQTFj90/yAc9m1Wf6z+0pnnHKTrCPyHb+X5qvLQ/5q4l5IOe6z8EVg4tsp3rPyL99nXgnOs/PL1SliGO3T9ApN++DpzrP15LyAc9m+s/hslUwaik1j988rBQa5rrPziJQWDl0MI/ct5xio7koj94CyQofozdP2lmZmZmZrY/mpmZmZmZ6z+4QILix5jrP9Xnaiv2l+s/845TdCSX6z+DhVrTvOOUPxE2PL1Slus/LGUZ4lgX0z8wuycPC7XOP0YyVTAqqYM/YJhMFYxKyj8v3SQGgZXrP02EDU+vlOs/ayv2l92T6z/CFyZTBaPWPzDdJAaBlcM/2DTvOEVHyj9G845TdCSHP+ELk6mCUbk/idLe4AuT6z9uxf6ye/LQP6gT0ETY8NA/pnnHKTqS6z/+ZffkYaHWP8QgsHJokes/4seYu5aQ6z8Ab4EExY/rPx4Wak3zjus/PL1SliGO6z/kYaHWNO/QP1pkO99Pjes/OrTIdr6f1j+0WfW52ordP3gLJCh+jOs/EMe6uI0GwD9D+MJkqmCUP2iz6nO1FdM/dAKaCBue1j8Jk6mCUUm9P5ayDHGsi+s/tFn1udqK6z/SAN4CCYrrP8JJDAIrh6Y/pAG8BRIU0z/gT42XbhLTP/Cnxks3ies/oRGlvcEXtj8OT6+UZYjrP7BQa5p3nNY/K/aX3ZOH6z9JnYAmwobrP2dEaW/whes/Gp5eKcsQ0z+F61G4HoXrP/Cnxks3id0/o5I6AU2E6z9W7C+7Jw/TP8E5I0p7g+s/smsJ+aBnoz+5jQbwFkiwPyz2l92Th90/AkT67evAqT/f4AuTqYLrP0zRkVz+Q8o/ILByaJHt0D/snjws1JrWPyOgibDh6ZU/KO0NvjCZ1j+oV8oyxLHOP2hEaW/whd0//If029eB6z8aL90kBoHrP3w/NV66ScQ/ONbFbTSA6z9Wfa62Yn/rP3Qkl/+Qfus/kst/SL996z+wcmiR7XzrP84ZUdobfOs/Cc4ZUdobvD/029eBc0bEP+zAOSNKe+s/CmgibHh66z9kO99PjZfWPygPC7Wmees/kjoBTYQN0z/DXUvIBz2bP0a28/3UeOs/zojS3uAL0z+JsOHplbK8P2N9rrZif5k/ZF3cRgN46z+BBMWPMXfrP5+rrdhfdus/XP5D+u3r0D9Q2ht8YTLFP71SliGOdes/TGIQWDm0yD/b+X5qvHTrPwrXo3A9CtM/oImw4emV1j/5oGez6nPrP0YldQKaCNM/3NeBc0aU1j8AvAUSFD/GP4BIv30dOMc/F0hQ/Bhz6z+oeccpOpLDPzXvOEVHcus/U5YhjnVx6z8YJlMFo5LWP3A9CtejcOs/HBZqTfOOwz+O5PIf0m/rPwOlvcEXJpM/gnNGlPYG0z/pSC7/If22P6yL22gAb+s/yjLEsS5u6z+ikjoBTYTdP1R0JJf/kNY/6Nms+lxt6z+QwvUoXI/WPwaBlUOLbOs/3uALk6mC3T8kKH6MuWvrP5hMFYxK6tA/Qs9m1edq6z9gdk8eFmrrP7wnDwu1psE/fh04Z0Rp6z+cxCCwcmjrP7prCfmgZ+s/1xLyQc9m6z/xycNCrWm+P8T+snvysMg/+ORhodY0xz/1udqK/WXrPxNhw9MrZes/bHh6pSxDxD++wRcmUwXTPzEIrBxaZOs/T6+UZYhj6z9tVn2utmLrPxov3SQGgd0/i/1l9+Rh6z8g9GxWfa7OP1Z9rrZif90/PJtVn6utwD+ppE5AE2HrP8ZLN4lBYOs/5PIf0m9f6z8Cmggbnl7rP+QUHcnlP8Q/+g/pt68D0z8gQfFjzF3rPz7o2az6XOs/cmiR7Xw/pT+Sy39Iv33dP1yPwvUoXOs/ejarPldb6z/KEMe6uI3WP5jdk4eFWus/Bl+YTBWM1j+2hHzQs1nrP9QrZRniWOs/PJtVn6utyD/y0k1iEFjrP3hYqDXNO8Y/EHo2qz5X6z8tIR/0bFbrP+Q/pN++Dsw/Nl66SQwC0z9wgQTFjzHHP0Ktad5xitY/cKyL22gA0z9Bz2bV52q7P8h2vp8aL8U/S8gHPZtV6z9pb/CFyVTrP4cW2c73U+s/pb3BFyZT6z/DZKpgVFLrP+ELk6mCUes//7J78rBQ6z8Sx7q4jQagP5iQD3o2q84/zhlR2ht83T9jvHSTGASWPxxaZDvfT+s/LEMc6+I2wj9csb/snjzEPwpoImx4et0/OgFNhA1P6z9YqDXNO07rP+gdp+hILsc/dk8eFmpN6z+U9gZfmEzrP0a28/3UeN0/sp3vp8ZL6z/DFyZTBaOSP5SyDHGsi8M/0ETY8PRK6z/u68A5I0rrPwyTqYJRSes/KjqSy39I6z9S0ZFc/kOqP0jhehSuR+s/ZohjXdxG6z+pCkYldQK6P377OnDOiNY/ggTFjzF33T+EL0ymCkbrP1zcRgN4C8w/1JrmHafo0D+h1jTvOEXrP799HThnROs/3SQGgZVD6z/7y+7Jw0LrPxlz1xLyQes/vlKWIY513T8MLbKd76fOPzcawFsgQes/0QloImx4uj/4oGez6nPdP1XBqKROQOs/NO84RUdy3T9wPQrXo3DdP3Joke18P+s/DE+vlGWIwz+QD3o2qz7rP662Yn/ZPes/hMlUwaikzj/MXUvIBz3rP8lLN4lBYLU/6gQ0ETY86z8IrBxaZDvrP8nuycNCrbk/JlMFo5I66z+6SQwCK4fWP0T67evAOes/8pfdk4eFqj8pOpLLf0i/P2Kh1jTvOOs/gEi/fR046z+e76fGSzfrP8RtNIC3QMo/vJaQD3o26z/aPXlYqDXrPzTEsS5uo8E/PArXo3A9yj/35GGh1jTrPxWMSuoENOs/rIvbaABv3T8Q6bevA+fQPzMzMzMzM+s//GX35GGhzj+oYFRSJ6DBP+jZrPpcbd0/UdobfGEy6z9vgQTFjzHrP7SmeccpOso/jSjtDb4w6z9AE2HD0yvFP/aX3ZOHhdY/q8/VVuwv6z/Idr6fGi/rPzLmriXkg9Y/bjSAt0CC1j9cukkMAivHP+Ydp+hILus/JCh+jLlr3T+qglFJnYDWP6z6XG3F/tI/BMWPMXct6z9gdk8eFmrdP5zEILByaN0/Imx4eqUs6z/YEvJBz2bdPxRhw9MrZd0/QBNhw9Mr6z+CY13cRgOoP9HVVuwvu7c/XrpJDAIr6z98YTJVMCrrP06vlGWIY90/mggbnl4p6z8Sk6mCUUmtP+bQItv5ftY/uK8D54wo6z/5y+7Jw0K9P4r9ZffkYd0/1lbsL7sn6z/UeOkmMQjMP/T91HjpJus/EqW9wRcm6z8wTKYKRiXrP03zjlN0JOs/xks3iUFg3T90ApoIG57OP7ivA+eMKMU/6Egu/yH90j9rmnecoiPrP4lBYOXQIus/ApoIG55e3T+n6Egu/yHrPxJYObTIdq4/PujZrPpc3T9MFYxK6gTMP+yePCzUms4/ejarPldb3T9MN4lBYOXQP8WPMXctIes/4zYawFsg6z8B3gIJih/rPx6F61G4Hus/IB/0bFZ91j9kO99PjZfOPxlz1xLyQb8/JJf/kH770j+E61G4HoXDPzws1JrmHes/WtO84xQd6z94eqUsQxzrP5YhjnVxG+s/sCXkg57Nwj+pxks3iUGwP4iFWtO849A/tMh2vp8a6z/jg57Nqs+VP9JvXwfOGes/YOXQItv50j/wFkhQ/BjrP7aEfNCzWd0/Dr4wmSoY6z8sZRniWBfrP/LSTWIQWN0/Amb35GGhpj9KDAIrhxbrP2iz6nO1Fes/yzBVMCqpMz+GWtO84xTrP6MBvAUSFOs/waikTkAT6z/RRNjw9Eq5P8JSliGOdaE/30+Nl24S6z9cbcX+snvWP8TTK2UZ4tA/MEymCkYlxT/99nXgnBHrPxueXinLEOs/OUVHcvkP6z9X7C+7Jw/rP3WTGARWDus/kjoBTYQN6z+w4emVsgzrP86I0t7gC+s/7C+7Jw8L6z8uIR/0bFbdP2pv8IXJVN0/CtejcD0K6z8ofoy5awnrP0YldQKaCOs/ZMxdS8gH6z+Cc0aU9gbrP5wzorQ3+NI/3NeBc0aUzj+gGi/dJAbrP77BFyZTBes/3GgAb4EE6z/EsS5uowHMP/kP6bevA+s//iH99nXg0D8Xt9EA3gLrPzVeukkMAus/QYts5/upsT9TBaOSOgHrP3Gsi9toAOs/j1N0JJf/6j+NhVrTvON0PxKDwMqhRaY/rfpcbcX+6j88TtGRXP7LP0YRNjy9UoY/y6FFtvP96j/oSC7/If3qPyxDHOviNso/BvAWSFD86j+06nO1FfvLPySX/5B+++o/xqZ5xyk6gj9G30+Nl26CP6S9wRcmU90/Qj7o2az66j9g5dAi2/nqP36MuWsJ+eo/tDf4wmSqyD/w9EpZhjjGP5wzorQ3+Oo/utqK/WX36j/YgXNGlPbqP5F1cRsN4L0/I4xK6gQ0kT/2KFyPwvXqPw3fT42XbnI/FNBE2PD06j8ydy0hH/TqP+ALk6mCUd0/Tx4Wak3z6j8cWmQ730/dP23F/rJ78uo/i2zn+6nx6j+pE9BE2PDqP8e6uI0G8Oo/5WGh1jTv6j8DCYofY+7qPyyHFtnO98s/IbByaJHt6j9YqDXNO07dP+I/pN++Dqw/Pldbsb/s6j9c/kP67evqP3qlLEMc6+o/lPYGX5hM3T8DZvfkYaGWP5i7lpAPetY/mEwVjErq6j9oke18PzXGPyzUmuYdp8g/tvP91Hjp6j9Zn6ut2F+2P+AtkKD4McY/0ETY8PRK3T/UmuYdp+jqP/JBz2bV5+o/EOm3rwPn6j8Mk6mCUUndP9iBc0aU9tI/pHA9CtejyD8ukKD4MebqP0w3iUFg5eo/at5xio7k6j+IhVrTvOPqP+J6FK5H4ao/42or9pfdkz8cDeAtkKDIP0jhehSuR90/pixDHOvi6j+kI7n8h/TLP8PTK2UZ4uo/6QQ0ETY8vT/hehSuR+HqPw0sZRniWHc//yH99nXg6j8dyeU/pN/qP4QvTKYKRt0/O3DOiNLe6j/AfR04Z0TdPzpwzojS3tA/WRe30QDe6j93vp8aL93qP5RliGNd3Oo/GMBbIEHxyz+yDHGsi9vqP9CzWfW52uo/7lpCPujZ6j8MAiuHFtnqP6Tfvg6cM8o/+svuycNC3T9R46WbxCCwPzYawFsgQd0/1AloImx41j8qqRPQRNjqP1jKMsSxLsY/KMKGp1fKwj9IUPwYc9fqP2b35GGh1uo/hJ7Nqs/V6j+GmZmZmZmJP6JFtvP91Oo/1FbsL7snxz/A7J48LNTqP3a+nxov3dA/3pOHhVrT6j8U0ETY8PTSP/w6cM6I0uo/GeJYF7fR6j83iUFg5dDqP9Bm1edqK8Y/ERQ/xty1tD9VMCqpE9DqP3Joke18P90/VHQkl/+Qzj8QWDm0yHbWP3PXEvJBz+o/kX77OnDO6j/UTWIQWDnEP68l5IOezeo/sgxxrIvb0D8g/fZ14JzBP662Yn/ZPd0/TKYKRiV11j9kf9k9eVjAP83MzMzMzOo/iPTb14Fz1j/qBDQRNjzdP+pztRX7y+o/JlMFo5I63T+YmZmZmZnBPwgbnl4py+o/qOhILv8hxT8mwoanV8rqP+Ks+lxtxa4/RGlv8IXJ6j+B4seYu5awP2IQWDm0yOo/gLdAguLH6j9iodY07zjdPxx8YTJVMMo/nu+nxks33T+NHoXrUbh+P55eKcsQx+o/4w2+MJkqmD/uWkI+6NnQP7wFEhQ/xuo/2j15WKg13T/arPpcbcXqP/hT46WbxOo/FvvL7snD6j80orQ3+MLqP0zzjlN0JMc/UkmdgCbC6j8WjErqBDTdP2/whclUweo/jZduEoPA6j+rPldbsb/qP1DaG3xhMt0/+QZfmEwVvD/J5T+k377qP+eMKO0Nvuo/BTQRNjy96j8j2/l+arzqP0CC4seYu+o/XinLEMe66j+cXinLEMfCP3zQs1n1ueo/ubiNBvAWuD8qqRPQRNjQP4wo7Q2+MN0/UB4Wak3z0j+ad5yiI7nqP7gehetRuOo/kFz+Q/rtyz956SYxCKy8P+ECCYofY74/1sVtNIC36j/0bFZ9rrbqP/yH9NvXgcM/lKmCUUmdyD/EQq1p3nHWPwN/arx0k5g/EhQ/xty16j8wuycPC7XqP05iEFg5tOo/yHa+nxov3T9sCfmgZ7PqP4qw4emVsuo/BMWPMXct3T9AE2HD0yvdP6hXyjLEseo/fGEyVTAq3T/F/rJ78rDqP8wQx7q4jc4/46WbxCCw6j+4rwPnjCjdP2L35GGh1qQ/aSJseHqlvD8BTYQNT6/qPx/0bFZ9ruo/PZtVn6ut6j/0/dR46SbdP4xs5/up8dI/CPmgZ7Pqyz9bQj7o2azqP0zqBDQRNsQ/lBgEVg4tyj956SYxCKzqP5eQD3o2q+o/tDf4wmSq6j8wTKYKRiXdP4K3QILix6g/CawcWmQ7vz/S3uALk6nqP/CFyVTBqOo/SAN4CyQoxj8OLbKd76fqP2yad5yiI90/LNSa5h2n6j9Ke4MvTKbqP2gibHh6peo/tDf4wmSqwD+GyVTBqKTqP6RwPQrXo+o/whcmUwWj6j/gvg6cM6LqP/5l9+Rhoeo/Q99PjZdukj8bDeAtkKDqP0GC4seYu7Y/ObTIdr6f6j+m6Egu/yHdP6Tfvg6cM8I/DEYldQKayD9XW7G/7J7qPyE4Z0Rpb7A/dQKaCBue6j/pP6Tfvg68P5OpglFJneo/sVBrmnec6j/P91PjpZvqP8EwmSoYlbQ/xrq4jQbw0j8AkX77OnDWP6Nns+pztZU/RK1p3nGKzj+j3ZOHhVqTP+2ePCzUmuo/CkYldQKa6j/iNhrAWyDdPx6F61G4Ht0/KO0NvjCZ6j9a07zjFB3dP0aU9gZfmOo/PN9PjZdu1j9kO99PjZfqP4Lix5i7luo/DLWmeccpyj+gibDh6ZXqP74wmSoYleo/liGOdXEb3T/c14FzRpTqP/p+arx0k+o/GCZTBaOS6j82zTtO0ZHqP1R0JJf/kOo/cRsN4C2Q6j8ZnRGlvcFnP8CfGi/dJMY/j8L1KFyP6j+tad5xio7qP4CVQ4ts58s/Q1D8GHPXkj/LEMe6uI3qP0M+6Nms+pw/6bevA+eM6j8HX5hMFYzqPyUGgZVDi+o/xrq4jQbwhj9DrWnecYrqP2BUUiegieo/uEkMAiuHzj9++zpwzojqP4KVQ4ts56s/nKIjufyH6j92LSEf9GzWP7pJDAIrh+o/2PD0SlmG6j/4MeauJeTLP2b35GGh1tA/9pfdk4eF6j8UP8bctYTqPzLmriXkg+o/CXGsi9tosD/Sb18HzhndP1CNl24Sg+o/bjSAt0CC6j+M22gAb4HqP6qCUUmdgOo/yCk6kst/6j/l0CLb+X7qP3DOiNLe4Ms/sln1udqKrT8DeAskKH7qP4Dix5i7lsg/IR/0bFZ96j8/xty1hHzqP7J78rBQa9Y/2XjpJjEIvD9dbcX+snvqP3sUrkfheuo/wRcmUwWjsj/uycNCrWnWP5m7lpAPeuo/Dr4wmSoY3T+2Yn/ZPXnqP9QJaCJseOo/8rBQa5p36j8QWDm0yHbqP8SPMXctIcc/Lv8h/fZ16j9MpgpGJXXqP2pN845TdOo/AgmKH2Pu0j+I9NvXgXPqP0oMAiuHFt0/ppvEILBy6j/EQq1p3nHqP6JFtvP91NA/KhiV1Alo1j/i6ZWyDHHqP4Za07zjFN0/I+auJeSDnj9mZmZmZmbWPwCRfvs6cOo/wqikTkAT3T+itDf4wmTWP0Ec6+I2GrA/HjhnRGlv6j/ek4eFWtPQPzvfT42Xbuo/3gIJih9j1j9ZhjjWxW3qPzDmriXkg84/IIXrUbgexT8a4lgXt9HQPxpR2ht8YdY/dy0hH/Rs6j+C2T15WKilP5XUCWgibOo/Vp+rrdhf1j+ze/KwUGvqP9Ei2/l+auo//PZ14JwR3T84RUdy+Q/dPwOq8dJNYpA/78nDQq1p6j8McayL22jqP5LtfD81XtY/YmQ730+Npz+jCkYldQKaP0IDeAskKK4/dJMYBFYO3T9UMCqpE9DQPyoYldQJaOo/sOHplbIM3T9Iv30dOGfqP2ZmZmZmZuo/LNSa5h2nwD+EDU+vlGXqP3Qkl/+QfsM/7C+7Jw8L3T+itDf4wmTqPyh+jLlrCd0/wFsgQfFj6j/OO07RkVzWP94CCYofY+o//Knx0k1i6j8Iih9j7lrWP0TY8PRKWdY/GlHaG3xh6j+AJsKGp1fWPwYbnl4py4A/OPjCZKpg6j9kzF1LyAfdP1afq63YX+o/qIJRSZ2Azj90RpT2Bl/qP5HtfD81Xuo/Pldbsb/s0j+gGi/dJAbdP/h+arx0k8g/r5RliGNd6j/NO07RkVzqP9xoAG+BBN0/6+I2GsBb6j+8dJMYBFbWP4RRSZ2AJso/CYofY+5a6j/4wmSqYFTWPycxCKwcWuo/Rdjw9EpZ6j/swDkjSnvDP2J/2T15WOo/gCbChqdX6j+ezarP1VbqPzQRNjy9UtY/vHSTGARW6j9wXwfOGVHWP9obfGEyVeo/+MJkqmBU6j9iEFg5tMimPxi30QDeAt0/iGNd3EYDwD+srdhfdk/WP4NGlPYGX5g/FPvL7snDwj/o+6nx0k3WP6KiI7n8h6Q/JEp7gy9M1j+iAbwFEhSvPxZqTfOOU+o/NBE2PL1S6j9SBaOSOgHdP1K4HoXrUeo/SRWMSuoEtD9wXwfOGVHqP44G8BZIUOo/qfHSTWIQuD+srdhfdk/qP8pUwaikTuo/5/up8dJN6j+SH2PuWkKuP9IS8kHPZqU/OdbFbTSAtz+OU3Qkl//cPwWjkjoBTeo/yqFFtvP93D8jSnuDL0zqP0HxY8xdS+o/X5hMFYxK6j96pSxDHOvSPwbwFkhQ/Nw/Qj7o2az63D99PzVeuknqP5vmHafoSOo/foy5awn53D+5jQbwFkjqP9Y07zhFR+o/kuTyH9Jvrz+62or9ZffcP/Tb14FzRuo/jJduEoPAwj/2KFyPwvXcP7bz/dR46dI/EoPAyqFF6j8wKqkT0ETqPzJ3LSEf9Nw/kH77OnDO0D9ZW7G/7J68P07RkVz+Q+o/bHh6pSxD6j+KH2PuWkLqP6jGSzeJQeo/bsX+snvy3D/GbTSAt0DqP/mp8dJNYrA/5BQdyeU/6j8CvAUSFD/qPyBj7lpCPuo/8kHPZtXn0j9kXdxGA3jDP+KDns2qz6U/PQrXo3A96j9bsb/snjzqP3lYqDXNO+o/l/+Qfvs66j+1pnnHKTrqP+hqK/aX3cs/001iEFg56j/x9EpZhjjqPw+cM6K0N+o/LEMc6+I26j9K6gQ0ETbqP2iR7Xw/Neo/hjjWxW006j+k374OnDPqPwKsHFpkO68/qBPQRNjw3D/ChqdXyjLqP+AtkKD4Meo//tR46SYx6j8cfGEyVTDqP+RhodY079w/OiNKe4Mv6j9YyjLEsS7qP3ZxGw3gLeo/kxgEVg4t6j9emEwVjErWP7G/7J48LOo/z2bV52or6j+JSuoENBG2P+0NvjCZKuo/zMzMzMzM0D+xLm6jAby1P3AbDeAtkMg/C7Wmeccp6j/BsS5uowG8Pylcj8L1KOo/ILByaJHt3D9HA3gLJCjqP2WqYFRSJ+o/IZf/kH77uj+CUUmdgCbqP1z+Q/rt69w/IB/0bFZ9zj+g+DHmriXqP1FiEFg5tLg/vp8aL90k6j/cRgN4CyTqP/rt68A5I+o/NDy9UpYhxj8YldQJaCLqPzY8vVKWIeo/muYdp+hI1j8IG55eKcvQP1TjpZvEIOo/coqO5PIf6j/C0ytlGeKoP5hMFYxK6tw/kDF3LSEf6j+u2F92Tx7qP9Sa5h2n6Nw/UtobfGEypT/WNO84RUfWPxDpt68D59w/0TtO0ZFcvj/ot68D54zIP8x/SL99Heo/6SYxCKwc6j9MN4lBYOXcP0Rpb/CFydA/9P3UeOkmwT8HzhlR2hvqPxA2PL1SlsE/JXUCmggb6j+Yu5aQD3rOP0OWIY51cZs/iIVa07zj3D88LNSa5h3HP4C3QILix9A/EFg5tMh2zj9DHOviNhrqP8TTK2UZ4tw/YcPTK2UZ6j9/arx0kxjqP7wFEhQ/xtA//iH99nXg3D86cM6I0t7cP2BUUiegicg/nRGlvcEX6j+7uI0G8BbqP3a+nxov3dw/EoPAyqFF1j/YX3ZPHhbqP6Fns+pztbU/9gZfmEwV6j+yDHGsi9vcPxSuR+F6FOo/MlUwKqkT6j/uWkI+6NncP1D8GHPXEuo/bqMBvAUS6j8NQxzr4jZ6P4xK6gQ0Eeo/qvHSTWIQ6j/ImLuWkA/qP/nkYaHWNL8/5j+k374O6j8qqRPQRNjcP7TIdr6fGsc/ZvfkYaHW3D8E54wo7Q3qP2yad5yiI8E/rNhfdk8exj8ijnVxGw3qP07RkVz+Q9Y/ih9j7lpC1j9ANV66SQzqP13cRgN4C+o/e4MvTKYK6j+iRbbz/dTcP5kqGJXUCeo/t9EA3gIJ6j/VeOkmMQjqP8ZtNIC3QNY/8x/Sb18H6j8Rx7q4jQbqPy5uowG8Beo/TBWMSuoE6j9qvHSTGATqP4hjXdxGA+o/pgpGJXUC6j/EsS5uowHqP+JYF7fRAOo/khgEVg4toj/ywmSqYFSiPwAAAAAAAOo/HqfoSC7/6T88TtGRXP7pP96Th4Va09w/WvW52or96T8ukKD4MebSPxriWBe30dw/eJyiI7n86T9UMCqpE9DcP5ZDi2zn++k/kH77OnDO3D+NFK5H4Xp0P8zMzMzMzNw/s+pztRX76T9q3nGKjuTSPwgbnl4py9w/EdBE2PD0uj+h+DHmriW0P9GRXP5D+uk/RGlv8IXJ3D8kdQKaCBvGP8CGp1fKMsQ/pHA9CtejwD+I9NvXgXPOP+84RUdy+ek/ArwFEhQ/1j8+CtejcD3WP4C3QILix9w/DeAtkKD46T8AkX77OnDOP7knDwu1prk/nBGlvcEXxj8rhxbZzvfpP7wFEhQ/xtw/2Bt8YTJVwD9JLv8h/fbpP2fV52or9uk/hHzQs1n16T+iI7n8h/TpP/hT46WbxNA/pixDHOvi0j/AyqFFtvPpP95xio7k8uk/elioNc071j/8GHPXEvLpPxrAWyBB8ek/ga62Yn/ZvT/4U+Olm8TcP2AHzhlR2ss/NKK0N/jC3D+0pnnHKTrWP3gtIR/0bM4/OGdEaW/w6T9WDi2yne/pP3DwhclUwdw/dLUV+8vu6T+SXP5D+u3pP/jt68A5I8o/sAPnjCjt6T+sPldbsb/cP86qz9VW7Ok/8MnDQq1pzj/sUbgehevpPwn5oGez6uk/8PRKWYY41j84I0p7gy/EP9ijcD0K18s/g0Fg5dAimz+je/KwUGuaPyegibDh6ek/RUdy+Q/p6T9oZmZmZmbOPyxDHOviNtY/5owo7Q2+3D9oke18PzXWPzNCHOviNlo/Y+5aQj7o6T+BlUOLbOfpP588LNSa5uk/clZ9rrZirz+94xQdyeXpPzSitDf4wtA/24r9Zffk6T/4MeauJeTpPxbZzvdT4+k/2T15WKg1vT80gLdAguLpP1InoImw4ek/cM6I0t7g6T8i2/l+arzcP14pyxDHutw/eYMvTKYKtj+OdXEbDeDpP3DwhclUwdA/mnecoiO53D+sHFpkO9/pP8rDQq1p3uk/6Gor9pfd6T8GEhQ/xtzpPyS5/If02+k/QmDl0CLb6T9fB84ZUdrpP32utmJ/2ek/1sVtNIC33D8SFD/G3LXcP5tVn6ut2Ok/ufyH9NvX6T/cAgmKH2POP9ejcD0K1+k/TmIQWDm03D/iehSuR+HSPxzJ5T+k39I/9UpZhjjW6T8T8kHPZtXpPzGZKhiV1Ok/lCGOdXEbxT+KsOHplbLcP0PIBz2bVZ8/rD5XW7G/0D9OQBNhw9PpPxSuR+F6FMY/pN++Dpwz1j9s5/up8dLpP4qO5PIf0uk/qDXNO07R6T/G3LWEfNDpP1BAE2HD08s/5IOezarP6T/G/rJ78rDcP+aMKO0NvtA/AiuHFtnO6T8i2/l+arzQP5K7lpAPeqY/INJvXwfO6T9eKcsQx7rQPz55WKg1zek/XCBB8WPM6T/Jdr6fGi+9P3rHKTqSy+k/Ak2EDU+v3D+YbhKDwMrpP7UV+8vuyek/WBe30QDe0j/TvOMUHcnpP/FjzF1LyOk/PJtVn6ut3D8PC7WmecfpPy2yne+nxuk/AAAAAAAAwD9LWYY41sXpP2kAb4EExek/eOkmMQis3D/gLZCg+DHWP4enV8oyxOk/cIqO5PIfyj+GWtO84xSNP6ROQBNhw+k/wvUoXI/C6T+5hHzQs1m1P7Q3+MJkqtw/8IXJVMGo3D/gnBGlvcHpP1Sfq63YX84/LNSa5h2n3D8NG55eKctwP/5D+u3rwOk/HOviNhrA6T86kst/SL/pP1g5tMh2vuk/duCcEaW96T+Uh4Va07zpP7IubqMBvOk/0NVW7C+76T8cfGEyVTDWP+58PzVeuuk/mnecoiO50D8LJCh+jLnpPxlyio7k8m8/KcsQx7q46T/oJjEIrBzKP7mvA+eMKL0/gvs6cM6Ioj9oImx4eqXcP2nn+6nx0r0/pHA9Ctej3D9HcvkP6bfpP2UZ4lgXt+k/sL/snjwsxD+DwMqhRbbpP6Fns+pztek/vw6cM6K06T/dtYR80LPpP5Exdy0hH7Q/+lxtxf6y6T+NwaikTkBzPxgEVg4tsuk/WMoyxLEu1j82qz5XW7HpP8TctYR80Ms/1sVtNIC30D/gvg6cM6LcP2DD0ytlGco/zDtO0ZFczj+UZYhjXdzSP1RSJ6CJsOk/HA3gLZCg3D9YW7G/7J7cP3L5D+m3r+k/EhQ/xty10D+QoPgx5q7pP7Hqc7UV+7s/lBgEVg4t1j+SqYJRSZ3cP65H4XoUruk/2F92Tx4Wyj/M7snDQq3pP9CzWfW52tI/0GbV52or1j/qlbIMcazpP/IENBE2PK0/CD2bVZ+r6T+ZM6K0N/iyPybkg57Nquk/RIts5/up6T9iMlUwKqnpP3/ZPXlYqOk/nYAmwoan6T9ycRsN4C2gPwwCK4cW2dI/uycPC7Wm6T/xOEVHcvm/P9nO91Pjpek/93XgnBGl6T8VHcnlP6TpP8ltNIC3QLI/M8SxLm6j6T9Qa5p3nKLpP24Sg8DKoek/jLlrCfmg6T9Q/Bhz1xLKP6pgVFInoOk/zvdT46Wb3D/IBz2bVZ/pP+auJeSDnuk/CkYldQKa3D8EVg4tsp3pPzx5WKg1zcs/IxZqTfOOkz8KtaZ5xynWPyL99nXgnOk/jErqBDQRxj9ApN++DpzpP15LyAc9m+k/fPKwUGua6T+amZmZmZnpP7hAguLHmOk/1edqK/aX6T/zjlN0JJfpP0YDeAskKNY/glFJnYAm1j9GlPYGX5jcPwEJih9j7ro/SZT2Bl+YvD8RNjy9UpbpP7FQa5p3nLI/TmIQWDm00D+C4seYu5bcP76fGi/dJNY/vjCZKhiV3D8E54wo7Q3GPy/dJAaBlek/+n5qvHST3D9NhA1Pr5TpPzbNO07Rkdw/fIMvTKYKxj9rK/aX3ZPpP4nS3uALk+k/pnnHKTqS6T9yGw3gLZDcP8QgsHJokek/+u3rwDkj1j+uad5xio7cPyxlGeJYF8c/4seYu5aQ6T9Bm1Wfq624PwBvgQTFj+k/HhZqTfOO6T9iGeJYF7ehP0hQ/Bhz19I/PL1SliGO6T9aZDvfT43pP3gLJCh+jOk/lrIMcayL6T+0FfvL7snLP4SezarP1dI/Y5HtfD81nj+5dJMYBFa+P7RZ9bnaiuk/0gDeAgmK6T/wp8ZLN4npPyyyne+nxss/iNLe4AuTwT+hI7n8h/S7Pw5Pr5RliOk/KFyPwvUoxD+KsOHplbLQPyv2l92Th+k/SZ2AJsKG6T9nRGlv8IXpP4XrUbgehek/o5I6AU2E6T/ot68D54zcP8E5I0p7g+k/3+ALk6mC6T/8h/Tb14HpPxov3SQGgek/ONbFbTSA6T/Y8PRKWYbIP1Z9rrZif+k/dCSX/5B+6T+Sy39Iv33pP8Dsnjws1NI/RNjw9EpZzj8kBoGVQ4vcP8b+snvysNA/pE5AE2HDyz+GhVrTvOOEP7ByaJHtfOk/zhlR2ht86T/swDkjSnvpPwpoImx4euk/KA8LtaZ56T/c+X5qvHTDP0a28/3UeOk/Njy9UpYh1j9gVFInoIncP3KKjuTyH9Y/EqW9wRcmoz9kXdxGA3jpP4EExY8xd+k/n6ut2F926T+u2F92Tx7WP1SWIY51ccM//DpwzojS0j8ZQxzr4jZqP71SliGOdek/HHxhMlUwwj/b+X5qvHTpP/mgZ7Pqc+k/F0hQ/Bhz6T817zhFR3LpP1OWIY51cek/cD0K16Nw6T+O5PIf0m/pP5yiI7n8h9w/rIvbaABv6T/KMsSxLm7pPxzr4jYawMs/6Nms+lxt6T84iUFg5dDSP+omMQisHNY/BoGVQ4ts6T8kKH6MuWvpP9jw9EpZhtw/6R2n6Eguvz8UP8bctYTcP0LPZtXnauk/YHZPHhZq6T9+HThnRGnpP5SHhVrTvMs/nMQgsHJo6T9yRpT2Bl+oP5LLf0i/fa0/Ak2EDU+v0D+6awn5oGfpP9cS8kHPZuk/UI2XbhKD3D/1udqK/WXpP8iYu5aQD8o/E2HD0ytl6T8xCKwcWmTpP5lDi2zn+7k/+Rhz1xLysT9Pr5RliGPpP4zbaABvgdw/bVZ9rrZi6T+8dJMYBFbOPyZ1ApoIG9Y/i/1l9+Rh6T9gw9MrZRnWP6mkTkATYek/2YFzRpT2tj/IKTqSy3/cP8ZLN4lBYOk/BHgLJCh+3D9CaW/whcmkP+TyH9JvX+k/nBGlvcEX1j8+xty1hHzcP3oUrkfhetw/2F92Tx4W1j8D3NeBc0aUPwKaCBueXuk/pAG8BRIUxz8pDwu1pnm3PzQRNjy9Us4/FK5H4XoU1j9QjZduEoPIPyBB8WPMXek/PujZrPpc6T9cj8L1KFzpP1D8GHPXEtY/ejarPldb6T/IKTqSy3/IP9IJaCJseKo/mN2Th4Va6T+2hHzQs1npP9QrZRniWOk/8tJNYhBY6T9y1xLyQc/SPxB6Nqs+V+k/tmJ/2T153D8tIR/0bFbpP0vIBz2bVek/aW/whclU6T+HFtnO91PpP/KwUGuad9w/9B/Sb18Hxj+lvcEXJlPpP64l5IOezdI/w2SqYFRS6T/hC5OpglHpPy7/If32ddw//7J78rBQ6T8cWmQ730/pP8F9HThnRLk/OgFNhA1P6T+MSuoENBHWP5Gg+DHmrrU/WKg1zTtO6T92Tx4Wak3pP5T2Bl+YTOk/huLHmLuWgD+JbOf7qfGyP7Kd76fGS+k/PJtVn6ut0D/ImLuWkA/WPwQ0ETY8vcI/0ETY8PRK6T8cnl4pyxDHP+7rwDkjSuk/ak3zjlN03D8Mk6mCUUnpP6abxCCwctw/4umVsgxx3D8qOpLLf0jpPwwkKH6Mucs/SOF6FK5H6T9miGNd3EbpPx44Z0Rpb9w/WoY41sVt3D+EL0ymCkbpP6HWNO84Rek/v30dOGdE6T+RXP5D+u27P90kBoGVQ+k/rK3YX3ZPzj/7y+7Jw0LpPyRKe4MvTM4/GXPXEvJB6T8E54wo7Q3WPzcawFsgQek/oYmw4emVsj9VwaikTkDpP3Joke18P+k/ULgehetRwD+QD3o2qz7pP662Yn/ZPek/lNQJaCJs3D9J2PD0Slm2P8xdS8gHPek/6gQ0ETY86T8IrBxaZDvpPyZTBaOSOuk/Eh3J5T+krz+UOgFNhA3HP9Ai2/l+atw/QDVeukkM1j/qc7UV+8vSP5QYBFYOLcI/RPrt68A56T9ike18PzWuP2Kh1jTvOOk/fIMvTKYK1j+ASL99HTjpP4TAyqFFtss/gnNGlPYGrz+e76fGSzfpP7yWkA96Nuk/2j15WKg16T+20QDeAgnWPybChqdXytI/9+RhodY06T9ANV66SQzKPxWMSuoENOk/DHGsi9to3D9Iv30dOGfcPzMzMzMzM+k/hA1Pr5Rl3D9R2ht8YTLpP2+BBMWPMek/xuyePCzUij9iEFg5tMjSP8BbIEHxY9w//Knx0k1i3D+NKO0NvjDpP6vP1VbsL+k/OPjCZKpg3D/yH9JvXwfWP3jpJjEIrNA/yHa+nxov6T90RpT2Bl/cPwBvgQTFj8E/5h2n6Egu6T8ExY8xdy3pP3gLJCh+jME/DVD8GHPXcj+c5h2n6EjOP7CUZYhjXdw/4ytlGeJYlz8ibHh6pSzpP/xcbcX+sss/6uI2GsBb3D+B2T15WKi1P2y8dJMYBMY/QBNhw9Mr6T9eukkMAivpP3xhMlUwKuk/mggbnl4p6T+4rwPnjCjpPwy1pnnHKcI/1lbsL7sn6T8Ug8DKoUXOP/T91HjpJuk/Lm6jAbwF1j8Spb3BFybpP8EOnDOitLc/arx0kxgE1j+pYFRSJ6C5P3zQs1n1ucI/MEymCkYl6T+eXinLEMfSP03zjlN0JOk/a5p3nKIj6T+JQWDl0CLpP6foSC7/Iek/xY8xdy0h6T/jNhrAWyDpP7G2Yn/ZPbk/IwRWDi2ynT85zTtO0ZG8PyYxCKwcWtw/Ad4CCYof6T9if9k9eVjcPx6F61G4Huk/PCzUmuYd6T9a07zjFB3pP6D4MeauJcQ/eHqlLEMc6T+ezarP1VbcP5YhjnVxG+k/tMh2vp8a6T/Sb18HzhnpP/AWSFD8GOk/Dr4wmSoY6T+IH2PuWkLOPyxlGeJYF+k/2qz6XG3F0j8W+8vuycPSP0NXW7G/7J4/2ht8YTJV3D8MvjCZKhjFPxZqTfOOU9w/cPkP6bevyz8cDeAtkKDAP+iVsgxxrMs/SgwCK4cW6T9os+pztRXpP4Za07zjFOk/AueMKO0Nrj+mCkYldQLWP1JJnYAmwtI/owG8BRIU6T+Ol24Sg8DSP1K4HoXrUdw/yOU/pN++0j8AvAUSFD/OP8GopE5AE+k/jgbwFkhQ3D8I16NwPQrHP99PjZduEuk/4lgXt9EA1j/99nXgnBHpPx6n6Egu/9U/o/HSTWIQmD8DG55eKcuQPwQ0ETY8vdI/WvW52or91T8bnl4pyxDpP5ZDi2zn+9U/OUVHcvkP6T/SkVz+Q/rVP0CC4seYu9I/ylTBqKRO3D8ZjErqBDSxPwajkjoBTdw/QPFjzF1L3D9X7C+7Jw/pP3zQs1n1udI/hFrTvOMUxT91kxgEVg7pP8OPMXctIZ8/fD81XrpJ3D+SOgFNhA3pP7Dh6ZWyDOk/8rnaiv1lpz/OiNLe4AvpP+wvuycPC+k/lKmCUUmdwD+4jQbwFkjcPwrXo3A9Cuk/eFioNc07zj9gMlUwKqnLPyh+jLlrCek/RiV1ApoI6T9kzF1LyAfpP9jO91Pjpcs/DOAtkKD41T9ILv8h/fbVPzJDHOviNqo/gnNGlPYG6T/029eBc0bcP6AaL90kBuk/vsEXJlMF6T/caABvgQTpPzG7Jw8LtbY/+Q/pt68D6T+EfNCzWfXVPxe30QDeAuk/guLHmLuWoD81XrpJDALpPyN1ApoIG54/UwWjkjoB6T9xrIvbaADpP8DKoUW289U/j1N0JJf/6D+0N/jCZKrQP636XG3F/ug/8KfGSzeJwT/LoUW28/3oP+hILv8h/eg/BvAWSFD86D/8GHPXEvLVPySX/5B+++g/5DYawFsgwT9CPujZrProP2Dl0CLb+eg/MCqpE9BE3D84Z0Rpb/DVP36MuWsJ+eg/nDOitDf46D9GliGOdXGLP7raiv1l9+g/2IFzRpT26D+prdhfdk++P/YoXI/C9eg/FNBE2PD06D8ydy0hH/ToP08eFmpN8+g/bcX+snvy6D+LbOf7qfHoP3S1FfvL7tU/qRPQRNjw6D/HuriNBvDoP+VhodY07+g/AwmKH2Pu6D9c07zjFB3BP8Y/pN++Dow/ybq4jQbwtj9pvHSTGAS2PyGwcmiR7eg/Pldbsb/s6D9seHqlLEPcP7AD54wo7dU/8IXJVMGo0D9c/kP67evoP7jRAN4CCco/eqUsQxzr6D+oxks3iUHcP5hMFYxK6ug/Ms07TtGRrD+28/3UeOnoP/D0SlmGOM4/5BQdyeU/3D/UmuYdp+joP/JBz2bV5+g/QqTfvg6coz8gY+5aQj7cP2iR7Xw/Nc4/EOm3rwPn6D9csb/snjzcP+xRuB6F69U/LpCg+DHm6D9MN4lBYOXoP/z2deCcEcU/at5xio7k6D+IhVrTvOPoPyigibDh6dU/KdSa5h2nuD9Qa5p3nKLLP6YsQxzr4ug/QMbctYR8yD8pBoGVQ4u8P6m9wRcmU7U/cRKDwMqhtT9ZIEHxY8y9P0PaG3xhMpU/lv+Qfvs63D/iHafoSC6vP2IHzhlR2qs/w9MrZRni6D/STWIQWDncP+F6FK5H4eg//yH99nXg6D9i7lpCPujVPw6cM6K0N9w/HcnlP6Tf6D+4HoXrUbjSPztwzojS3ug/njws1Jrm1T9ZF7fRAN7oP3e+nxov3eg/9GxWfa62wj/yFkhQ/BijP/FBz2bV57o/MG6jAbwFyj+UZYhjXdzoP7IMcayL2+g/SuoENBE23D/Qs1n1udroP9qK/WX35NU/hjjWxW003D/IMsSxLm7DP+BYF7fRAMY/woanV8oy3D/uWkI+6NnoPwwCK4cW2eg/KqkT0ETY6D9IUPwYc9foP/7UeOkmMdw/Y8GopE5Akz9m9+RhodboP+Nxio7k8p8/gZVDi2znuz8BTYQNT6+0P+AtkKD4Mc4/hJ7Nqs/V6D+iRbbz/dToP3STGARWDsU/OiNKe4Mv3D+4Yn/ZPXnIPxiV1AloIsQ/LNSa5h2n0D92cRsN4C3cP8Dsnjws1Og/pApGJXUCyj+yv+yePCzcP96Th4Va0+g//DpwzojS6D8Z4lgXt9HoPzeJQWDl0Og/yAc9m1Wfyz8W2c73U+PVP1UwKqkT0Og/c9cS8kHP6D8iDeAtkKCoP0Ck374OnMs/kX77OnDO6D/sDb4wmSrcP/RsVn2uttI/KFyPwvUo3D/hehSuR+G6P2gibHh6pdA/GQ3gLZCguD9SJ6CJsOHVP68l5IOezeg/zczMzMzM6D/qc7UV+8voP2SqYFRSJ9w/gHNGlPYGxz+g+DHmriXcP9xGA3gLJNw/CBueXinL6D8iL90kBoGlPybChqdXyug/RGlv8IXJ6D9iEFg5tMjoP4C3QILix+g/nl4pyxDH6D+4QILix5jLP1jKMsSxLs4/vAUSFD/G6D/QZtXnaivOPzIawFsgQaE/2qz6XG3F6D/4U+Olm8ToPxb7y+7Jw+g/odY07zhFtz8YldQJaCLcPzSitDf4wug/+A/pt68Dxz9U46WbxCDcP5Axdy0hH9w/UkmdgCbC6D/sL7snDwvFP2/whclUweg/zH9Iv30d3D+Nl24Sg8DoPwjOGVHaG9w/qz5XW7G/6D/J5T+k377oP6Hvp8ZLN7k/54wo7Q2+6D8FNBE2PL3oPyPb+X5qvOg/QILix5i76D9ygQTFjzGnP14pyxDHuug/Qhzr4jYa3D+OdXEbDeDVP3zQs1n1ueg/fmq8dJMY3D+ad5yiI7noPyNhw9MrZZk/hrdAguLHiD+4HoXrUbjoP9bFbTSAt+g/uriNBvAW3D/0bFZ9rrboP9lW7C+7J78/EhQ/xty16D8wuycPC7XoP/YGX5hMFdw/TmIQWDm06D8yVTAqqRPcP2wJ+aBns+g/irDh6ZWy6D+oV8oyxLHoP2TMXUvIB8U/xf6ye/Kw6D/jpZvEILDoP26jAbwFEtw/AU2EDU+v6D8f9GxWfa7oPz2bVZ+rreg/W0I+6Nms6D/icYqO5PKvP3npJjEIrOg/l5APejar6D+0N/jCZKroP0gDeAskKM4/cc6I0t7guz/S3uALk6noPyz/If32dcg/8IXJVMGo6D/yycNCrWmuP6rx0k1iENw/MLsnDwu10j/j52or9pedPw4tsp3vp+g/LNSa5h2n6D9Ke4MvTKboP8rDQq1p3tU/aCJseHql6D+GyVTBqKToP4bLf0i/fY0/uaZ5xyk6sj+kcD0K16PoP8IXJlMFo+g/5j+k374O3D/gvg6cM6LoPxJqTfOOU6Q//mX35GGh6D8GEhQ/xtzVPxsN4C2QoOg/gXzQs1n1uT8ijnVxGw3cP17cRgN4C9w/ci0hH/Rspj8pGJXUCWiyPzm0yHa+n+g/V1uxv+ye6D91ApoIG57oP2wJ+aBns9I/mCoYldQJ3D9wrIvbaADHP5OpglFJneg/wJ8aL90kzj+xUGuad5zoP8/3U+Olm+g/7Z48LNSa6D+oV8oyxLHSP9R46SYxCNw/CkYldQKa6D8o7Q2+MJnoP0aU9gZfmOg/ZDvfT42X6D9oRGlv8IXBP4Lix5i7lug/oImw4emV6D8Qx7q4jQbcP74wmSoYleg/3NeBc0aU6D/6fmq8dJPoPxgmUwWjkug/Ns07TtGR6D8xTKYKRiW1P+DgC5OpgsE/WPW52or9xT9UdCSX/5DoP3EbDeAtkOg/j8L1KFyP6D+tad5xio7oP0wVjErqBNw/yxDHuriN6D/pt68D54zoPwxGJXUCmsA/B1+YTBWM6D8lBoGVQ4voP0Otad5xiug/4XGKjuTyvz9gVFInoInoP377OnDOiOg/iGNd3EYD3D+km8QgsHLIP3k2qz5XW7E/CUYldQKauD/EsS5uowHcP0Jg5dAi29U/o7IMcayLmz+coiO5/IfoP7pJDAIrh+g/2PD0SlmG6D8RP8bctYS8PwAAAAAAANw/Y2Q730+Nlz/2l92Th4XoPxyn6Egu/8k/FD/G3LWE6D88TtGRXP7bPzLmriXkg+g/GcBbIEHxsz9QjZduEoPoP36utmJ/2dU/sWnecYqOtD9uNIC3QILoP+hILv8h/cY/RqCJsOHphT80PL1SliHOP4zbaABvgeg/qoJRSZ2A6D/IKTqSy3/oP+XQItv5fug/A3gLJCh+6D8hH/RsVn3oPz/G3LWEfOg/XW3F/rJ76D97FK5H4XroP9CRXP5D+sU/mbuWkA966D+2Yn/ZPXnoP3icoiO5/Ns/1AloImx46D+UQ4ts5/vJP/KwUGuad+g/MN0kBoGVyz8QWDm0yHboPy7/If32deg/TKYKRiV16D9qTfOOU3ToP7Tqc7UV+9s/iPTb14Fz6D8M4C2QoPjJP/A4RUdy+ds/Iy/dJAaBlT+R9gZfmEy1PyqHFtnO99s/IfRsVn2utj9j7lpCPuiZP+Slm8QgsNI/w6FFtvP9lD+mm8QgsHLoP8RCrWneceg/4umVsgxx6D+hGi/dJAaxP4Ns5/up8ZI/sh6F61G4rj+DFK5H4XqUP6zYX3ZPHs4/AJF++zpw6D9m1edqK/bbPx44Z0Rpb+g/HvRsVn2u0j8730+Nl27oP1mGONbFbeg/JHUCmggbzj93LSEf9GzoP5XUCWgibOg/pHA9Ctej0D/gvg6cM6LQP7j8h/Tb19U/s3vysFBr6D/RItv5fmroP6IjufyH9Ns/DSV1ApoIez/vycNCrWnoPwxxrIvbaOg/KhiV1Alo6D9Iv30dOGfoP1pCPujZrNI/HDhnRGlvyD8cDeAtkKDQP5wRpb3BF84/3nGKjuTy2z9mZmZmZmboP6NVn6ut2J8/hA1Pr5Rl6D+itDf4wmToP0gu/yH99sU/wFsgQfFj6D8awFsgQfHbP/RKWYY41tU/3gIJih9j6D9WDi2yne/bP/yp8dJNYug/WFuxv+ye0D8wmSoYldTVP2Ll0CLb+a4/GlHaG3xh6D84+MJkqmDoP/l+arx0k7g/Vp+rrdhf6D90RpT2Bl/oP5HtfD81Xug/r5RliGNd6D9s5/up8dLVP807TtGRXOg/lpAPejar0j+RKO0NvjC5P+viNhrAW+g/klz+Q/rt2z8Jih9j7lroPwJ/arx0k6g/kqmCUUmd0D8D8BZIUPyYPycxCKwcWug/meYdp+hIvj/Oqs/VVuzbPwr5oGez6ts/0t7gC5Op0j9F2PD0SlnoPxSuR+F6FM4/Yn/ZPXlY6D/Rqs/VVuy/P4AmwoanV+g/ns2qz9VW6D+8dJMYBFboPwZ1ApoIG44/qDXNO07R1T/aG3xhMlXoP5kqGJXUCbg/+MJkqmBU6D9GR3L5D+nbP9xoAG+BBMU/gJVDi2zn2z8Wak3zjlPoPzQRNjy9Uug/5IOezarP1T9SuB6F61HoP3BfB84ZUeg/jgbwFkhQ6D+srdhfdk/oP8pUwaikTug/5/up8dJN6D/O91PjpZvQPwWjkjoBTeg/I0p7gy9M6D/JjzF3LSG/P0HxY8xdS+g/X5hMFYxK6D+84xQdyeXbP30/NV66Seg/m+Ydp+hI6D8g0m9fB87VP7mNBvAWSOg/+DHmriXk2z9Az2bV52rDP9Y07zhFR+g/wuyePCzUqj/029eBc0boPzSAt0CC4ts/cM6I0t7g2z8Sg8DKoUXoP1QFo5I6AcU/MCqpE9BE6D9O0ZFc/kPoP2x4eqUsQ+g/ih9j7lpC6D+oxks3iUHoP8ZtNIC3QOg/Di2yne+n0j/kFB3J5T/oP1wgQfFjzNU/ArwFEhQ/6D8gY+5aQj7oP6wcWmQ739s/EU+vlGWIsz89CtejcD3oP1uxv+yePOg/eVioNc076D+oeccpOpLLP5TUCWgibMg/l/+Qfvs66D+1pnnHKTroP5huEoPAytU/MQisHFpkuz+MSuoENBHOP+hqK/aX3ds/001iEFg56D/AyqFFtvPFPyS5/If029s/8fRKWYY46D8PnDOitDfoPyxDHOviNug/SuoENBE26D9oke18PzXoPwpGJXUCmtA/hjjWxW006D+k374OnDPoP7nz/dR46bY/YAfOGVHa2z/ChqdXyjLoP+AtkKD4Meg/zKFFtvP9xD+cVZ+rrdjbP9S84xQdydU//tR46SYx6D8cfGEyVTDoP0p7gy9MptI/RpT2Bl+Y0D8yVTAqqROgPzojSnuDL+g/WMoyxLEu6D92cRsN4C3oP5MYBFYOLeg/sb/snjws6D/PZtXnaivoP+0NvjCZKug/sUfhehSutz8LtaZ5xynoPylcj8L1KOg/RwN4CyQo6D/Wo3A9CtfbPxwWak3zjss/ZapgVFIn6D9APujZrPrEP4JRSZ2AJug/oPgx5q4l6D++nxov3SToPxLyQc9m1ds/TkATYcPT2z/cRgN4CyToP/rt68A5I+g/io7k8h/S2z9GQxzr4jaKP+O1hHzQs5k/GJXUCWgi6D82PL1SliHoP1TjpZvEIOg/guLHmLuW0D8OC7WmecfVP3KKjuTyH+g/kDF3LSEf6D+u2F92Tx7oPwTnjCjtDc4/zH9Iv30d6D/pJjEIrBzoPwfOGVHaG+g/SlmGONbF1T8ldQKaCBvoP8HjFB3J5b8/jTJVMCqpcz9DHOviNhroPw0OvjCZKng/DHGsi9toyD9JWYY41sW9P2HD0ytlGeg/hqdXyjLE1T+GyVTBqKTSP39qvHSTGOg/wvUoXI/C1T+EfNCzWfXJP50Rpb3BF+g/u7iNBvAW6D/+Q/rt68DVP9hfdk8eFug/9gZfmEwV6D8Z+8vuycOyPzqSy39Iv9U/iR9j7lpCvj924JwRpb3VP8IXJlMFo9I/xty1hHzQ2z8S16NwPQqnPxSuR+F6FOg/wwDeAgmKnz8yVTAqqRPoPwIrhxbZzts/PnlYqDXN2z9Q/Bhz1xLoP26jAbwFEug/jErqBDQR6D+q8dJNYhDoP8iYu5aQD+g/escpOpLL2z+yLm6jAbzVP7YV+8vuyds/gOLHmLuWwD/mP6Tfvg7oP/JjzF1LyNs/BOeMKO0N6D8ijnVxGw3oPyyyne+nxts/YOXQItv5xj9ANV66SQzoP13cRgN4C+g/e4MvTKYK6D+ZKhiV1AnoP/5l9+RhodI/aABvgQTF2z+30QDeAgnoP9V46SYxCOg/8x/Sb18H6D8Rx7q4jQboP74wmSoYldA/Lm6jAbwF6D9MFYxK6gToP2q8dJMYBOg/KfaX3ZOHtT/ufD81XrrVP4hjXdxGA+g/pgpGJXUC6D+kTkATYcPbP+CcEaW9wds/xLEubqMB6D/6fmq8dJPQP+JYF7fRAOg/AAAAAAAA6D8qyxDHurjVPx6n6Egu/+c/PE7RkVz+5z84Z0Rpb/DFPxzr4jYawNs/Ns07TtGR0D9a9bnaiv3nP5SyDHGsi8s/eJyiI7n85z+WQ4ts5/vnP7Tqc7UV++c/0ZFc/kP65z/vOEVHcvnnPw3gLZCg+Oc/eWEyVTAquT/4fmq8dJPAPyuHFtnO9+c/WDm0yHa+2z9JLv8h/fbnP5SHhVrTvNs/ZtXnaiv25z/Q1VbsL7vbPwwkKH6Muds/SHL5D+m32z+EfNCzWfXnPzq0yHa+n9I/fIMvTKYKzj8MT6+UZYjLP3QCmggbntI/oiO5/If05z9kGeJYF7fVP8DKoUW28+c/chsN4C2Q0D/ecYqO5PLnPwn5oGez6rM/gsDKoUW22z/8GHPXEvLnPxrAWyBB8ec/rmnecYqO0D9wGw3gLZDAP+i3rwPnjNA/g3EbDeAtkD8kBoGVQ4vQPzhnRGlv8Oc/Vg4tsp3v5z90tRX7y+7nP7BQa5p3nNI/klz+Q/rt5z+wA+eMKO3nP86qz9VW7Oc/vg6cM6K02z/i4AuTqYKhP+xRuB6F6+c/oGez6nO11T8K+aBns+rnPyegibDh6ec/RUdy+Q/p5z/6XG3F/rLbPzarPldbsds/Y+5aQj7o5z+BlUOLbOfnP588LNSa5uc/vOMUHcnl5z/aiv1l9+TnP/gx5q4l5Oc/FtnO91Pj5z+j9gZfmEyVPyLSb18Hzqk/NIC3QILi5z9SJ6CJsOHnP7HIdr6fGr8/cM6I0t7g5z+OdXEbDeDnP2wJ+aBns8I//Bhz1xLyyT+sHFpkO9/nP9iBc0aU9sY/ysNCrWne5z/0H9JvXwfOP+yePCzUmtI/0G9fB84ZwT/oaiv2l93nP8Zxio7k8o8/BhIUP8bc5z/ctYR80LPVPxgEVg4tstU/JLn8h/Tb5z+JY13cRgO4P0Jg5dAi2+c/YAfOGVHa5z99rrZif9nnP5tVn6ut2Oc/ufyH9NvX5z/Xo3A9CtfnP3L5D+m3r9s/rkfhehSu2z/qlbIMcazbP/VKWYY41uc/EvJBz2bV5z9UUiegibDVPybkg57Nqts/oyO5/If0mz8wmSoYldTnP05AE2HD0+c/YjJVMCqp2z+egCbChqfbP2zn+6nx0uc/io7k8h/S5z/IVMGopE7AP6g1zTtO0ec/AXgLJCh+vD/G3LWEfNDnP9jO91Pjpds/kKD4Meau1T9IDAIrhxbBP1AeFmpN88Y/5IOezarP5z/M7snDQq3VPwIrhxbZzuc/INJvXwfO5z8+eVioNc3nPyjtDb4wmdI/XCBB8WPM5z96xyk6ksvnP3S1FfvL7sk/FB3J5T+k2z95pSxDHOuyP1Brmnecots/YFRSJ6CJ0D+YbhKDwMrnP5yiI7n8h9A/thX7y+7J5z8G3NeBc0aEP4y5awn5oNs/kDF3LSEfxD/IBz2bVZ/bP9S84xQdyec/8WPMXUvI5z+BUUmdgCayP+Slm8QgsMI/ZDvfT42X0j/IuriNBvDGPw8LtaZ5x+c/LbKd76fG5z9hB84ZUdq7P0tZhjjWxec/aQBvgQTF5z8EVg4tsp3bPwg9m1Wfq9U/hqdXyjLE5z95WKg1zTu+P0Ck374OnNs/pE5AE2HD5z/C9Shcj8LnP3zysFBrmts/4JwRpb3B5z/+Q/rt68DnPxzr4jYawOc/WfW52or9tT86kst/SL/nP1g5tMh2vuc/duCcEaW95z9Ei2zn+6nVP5SHhVrTvOc/uECC4seY2z+A2T15WKjVP7onDwu1ptU/si5uowG85z+ZoiO5/Ie0P9DVVuwvu+c/9nXgnBGl1T/ufD81XrrnPwwkKH6Muec/mZmZmZmZuT8qyxDHurjnP0dy+Q/pt+c/ZRniWBe35z+DwMqhRbbnP6Fns+pztec/MsSxLm6j1T/0jlN0JJfbP78OnDOitOc/3LWEfNCz5z/6XG3F/rLnP2y8dJMYBM4/GARWDi2y5z82qz5XW7HnP1RSJ6CJsOc/cvkP6bev5z+QoPgx5q7nP65H4XoUruc/zO7Jw0Kt5z/qlbIMcaznPwg9m1Wfq+c/JuSDns2q5z8u3SQGgZXbP0SLbOf7qec/6bevA+eMuD9uEoPAyqHVP2IyVTAqqec/2PD0SlmG0D+G6SYxCKyMP+BYF7fRAM4/gNk9eVio5z+dgCbChqfnP7snDwu1puc/aiv2l92T2z+DU3Qkl/+QP6PYX3ZPHpY/CTQRNjy9sj/ZzvdT46XnP/d14JwRpec/FR3J5T+k5z+qYFRSJ6DVP1j1udqK/c0/MsSxLm6j5z+gibDh6ZXSP1Brmnecouc/hFFJnYAmwj+EDU+vlGXIP6Z5xyk6kts/cYqO5PIfsj9uEoPAyqHnP+LHmLuWkNs/jLlrCfmg5z+qYFRSJ6DnP8gHPZtVn+c/5q4l5IOe5z8eFmpN847bP1h9rrZif8E/BFYOLbKd5z8i/fZ14JznP0Ck374OnOc/XkvIBz2b5z9GyAc9m1WPP3zysFBrmuc/WmQ730+N2z+amZmZmZnnP7hAguLHmOc/5q4l5IOe1T/hNhrAWyCxP9bnaiv2l+c/FD/G3LWE0D/zjlN0JJfnP2mad5yiI7k/ETY8vVKW5z/47evAOSPCP9zXgXNGlNI/lrIMcayL2z8v3SQGgZXnPyL99nXgnNU/TYQNT6+U5z8zCM4ZUdpbPwO+MJkqGJU/ayv2l92T5z+I0t7gC5PnP6Z5xyk6kuc/xCCwcmiR5z/ix5i7lpDnPwBvgQTFj+c/GCZTBaOS0j+SkA96NquuP15LyAc9m9U/HhZqTfOO5z88vVKWIY7nP9IA3gIJits/VHQkl/+Q0j9aZDvfT43nP0YHzhlR2os/UI2XbhKD0D8OT6+UZYjbP0qdgCbChts/WdO84xQduT94CyQofoznP4TrUbgehds/eZyiI7n8tz+QwvUoXI/SP5ayDHGsi+c/SQwCK4cWuT+0WfW52ornP6noSC7/Ib0/0gDeAgmK5z8G0m9fB86JP/Cnxks3iec/Dk+vlGWI5z8s9pfdk4fnP4TrUbgehcs/Eno2qz5Xqz9JnYAmwobnP/yH9NvXgcs/uNqK/WX3xD9nRGlv8IXnP4XrUbgehec/dCSX/5B+yz+jkjoBTYTnP5qZmZmZmdU/wDkjSnuD2z/BOSNKe4PnP97gC5Opguc//If029eB5z8aL90kBoHnP9bnaiv2l9U/jNtoAG+B0D/xsFBrmne8PzjWxW00gOc/Vn2utmJ/5z/yoGez6nOlP8oQx7q4jdI/gyjtDb4wmT90JJf/kH7nP5LLf0i/fec/MHctIR/0xD+wcmiR7XznP5khjnVxG70/zhlR2ht85z/swDkjSnvnPwpoImx4euc/KA8LtaZ55z9GtvP91HjnP6EBvAUSFL8//If029eB2z841sVtNIDbP8gpOpLLf9A/g57Nqs/Vlj9kXdxGA3jnPwR4CyQoftA/IUHxY8xduz+CBMWPMXfnP5+rrdhfduc/dCSX/5B+2z+9UpYhjnXnP7ByaJHtfNs/2/l+arx05z/Rb18HzhmxPxI2PL1SltU/7MA5I0p72z9MhA1Pr5TVP4jS3uALk9U/SS7/If32tT/5oGez6nPnP1xCPujZrMI/F0hQ/Bhz5z807zhFR3LnP1KWIY51cec/4emVsgxxvD/EILByaJHVP7hrCfmgZ8M/cD0K16Nw5z8GX5hMFYzSP47k8h/Sb+c/rIvbaABv5z/KMsSxLm7nP9CRXP5D+s0/6Nms+lxt5z8GgZVDi2znPyQofoy5a+c/AG+BBMWP1T9Cz2bV52rnPygPC7Wmeds/YHZPHhZq5z+iXinLEMeqPz7G3LWEfNA/fh04Z0Rp5z+cxCCwcmjnP0BXW7G/7MY/umsJ+aBn5z/YEvJBz2bnP3oUrkfhetA/9rnaiv1l5z8TYcPTK2XnP7Tz/dR46cY/Qq1p3nGK0j8NqvHSTWJwP7Zif9k9edA/CYofY+5asj8xCKwcWmTnP0gu/yH99s0/PL1SliGO1T94CyQofozVP6ksQxzr4rY/T6+UZYhj5z8Zrthfdk9uP2Rd3EYDeNs/bVZ9rrZi5z+L/WX35GHnP6ikTkATYec/xks3iUFg5z/k8h/Sb1/nPwKaCBueXuc/oKut2F922z/sUbgehevJP377OnDOiNI/IEHxY8xd5z8+6Nms+lznP1yPwvUoXOc/tFn1udqK1T+wA+eMKO3FP3o2qz5XW+c/8KfGSzeJ1T+Y3ZOHhVrnP7aEfNCzWec/1CtlGeJY5z/y0k1iEFjnPxB6Nqs+V+c/LiEf9GxW5z9MyAc9m1XnP2lv8IXJVOc/RmQ730+Nhz/Cdr6fGi+tP/KwUGuad9A/McSxLm6jsT+HFtnO91PnP6W9wRcmU+c/w2SqYFRS5z/a+X5qvHTbP+ELk6mCUec/LPaX3ZOH1T8WSFD8GHPbP1KWIY51cds/qBPQRNjwxD/+snvysFDnP8LctYR80KM/HFpkO99P5z+O5PIf0m/bP/yp8dJNYsg/yjLEsS5u2z86AU2EDU/nPy7/If32ddA/BoGVQ4ts2z9hMlUwKqmzP1ioNc07Tuc/ak3zjlN00D92Tx4Wak3nP5T2Bl+YTOc/Qs9m1edq2z9GguLHmLuGP7Kd76fGS+c/0ETY8PRK5z/u68A5I0rnPw0B3gIJin8/DJOpglFJ5z9oRGlv8IXVPyo6kst/SOc/fh04Z0Rp2z/AyqFFtvPNPyyQoPgx5sY/SOF6FK5H5z85kst/SL+9P2aIY13cRuc/hC9MpgpG5z+i1jTvOEXnP799HThnROc/3SQGgZVD5z/7y+7Jw0LnP7prCfmgZ9s/GXPXEvJB5z84Z0Rpb/DNP/a52or9Zds/opI6AU2E1T83GsBbIEHnP1TBqKROQOc/cmiR7Xw/5z8wCKwcWmTbP7AD54wo7c0/3uALk6mC1T+QD3o2qz7nPxov3SQGgdU/rrZif9k95z/MXUvIBz3nP3RGlPYGX8g/6gQ0ETY85z8IrBxaZDvnPyZTBaOSOuc/RPrt68A55z9Wfa62Yn/VP2Kh1jTvOOc/gEi/fR045z+e76fGSzfnP7yWkA96Nuc/bFZ9rrZi2z/5h/Tb14GzP9o9eVioNec/GUhQ/Bhztz+Sy39Iv33VP/jkYaHWNOc/FYxK6gQ05z8zMzMzMzPnP9IrZRniWKc/zhlR2ht81T9R2ht8YTLnP2+BBMWPMec/jSjtDb4w5z+qz9VW7C/nP8h2vp8aL+c/5h2n6Egu5z9k7lpCPujJP6ikTkATYds/5PIf0m9f2z/s4jYawFvIPyBB8WPMXds/BMWPMXct5z8ibHh6pSznP0ATYcPTK+c/4z+k374OnD9eukkMAivnPwpoImx4etU/cj0K16NwrT98YTJVMCrnP0a28/3UeNU/mggbnl4p5z+4rwPnjCjnP9ZW7C+7J+c/7MA5I0p7yz8wCKwcWmTDP2PV52or9pc/Ak2EDU+vpD/0/dR46SbnP8FCrWnecbo/ggTFjzF31T+N2F92Tx52PxKlvcEXJuc/KKCJsOHpxT8wTKYKRiXnPzN+arx0k1g/XI/C9Shc2z/MGVHaG3zBP07zjlN0JOc/vlKWIY511T8ooImw4enNP2uad5yiI+c/iUFg5dAi5z/civ1l9+TJP2MyVTAqqZM/p+hILv8h5z/FjzF3LSHnP+M2GsBbIOc/ILByaJHtxD9kXdxGA3jLPwDeAgmKH+c/3Pl+arx0yz/AqKROQBPBP5jdk4eFWts/HoXrUbge5z/UK2UZ4ljbP6A8LNSa5sU/MkymCkYlpT+gPCzUmubNPzws1JrmHec/WtO84xQd5z8Y2c73U+PNP4x1cRsN4M0/g+TyH9Jvnz94eqUsQxznP6abxCCwctA/EHo2qz5X2z+WIY51cRvnP1FAE2HD07s/tMh2vp8a5z+ixCCwcmihP9Te4AuTqcI/TMgHPZtV2z/Sb18HzhnnP/AWSFD8GOc/pCxDHOvixj8OvjCZKhjnP7F78rBQa7o/LGUZ4lgX5z9KDAIrhxbnP2iz6nO1Fec/hlrTvOMU5z/Z8PRKWYa4P6QBvAUSFOc/hhbZzvdT2z/BqKROQBPnP/igZ7Pqc9U/iVrTvOMUvT/fT42XbhLnP/32deCcEec/qRxaZDvfvz8bnl4pyxDnPwPDZKpgVJI/ukkMAiuH0j85RUdy+Q/nP+LplbIMcdA/HMnlP6Tfxj807zhFR3LVP1bsL7snD+c/dJMYBFYO5z+SOgFNhA3nP7Dh6ZWyDOc/wmSqYFRS2z/OiNLe4AvnP+wvuycPC+c/CtejcD0K5z9wPQrXo3DVP/6ye/KwUNs/OgFNhA1P2z92Tx4Wak3bPyh+jLlrCec/RiV1ApoI5z9kzF1LyAfnP4JzRpT2Buc/oBov3SQG5z++wRcmUwXnP9xoAG+BBOc/+g/pt68D5z9CguLHmLumPxe30QDeAuc/NV66SQwC5z9TBaOSOgHnP1AnoImw4ck/sp3vp8ZL2z8hhetRuB61P3Gsi9toAOc/7uvAOSNK2z+PU3Qkl//mP636XG3F/uY/yqFFtvP95j+i6Egu/yGtPyo6kst/SNs/ZohjXdxG2z/DHoXrUbieP+hILv8h/eY/BvAWSFD85j8EEhQ/xtzNPySX/5B+++Y/Qj7o2az65j9g5dAi2/nmP36MuWsJ+eY/nDOitDf45j+si9toAG/VP7raiv1l9+Y/2IFzRpT25j9GwaikTkCDP6LWNO84Rds/gWq8dJMYtD/cJAaBlUPbP/YoXI/C9eY/GHPXEvJB2z85RUdy+Q+5PxTQRNjw9OY/mEwVjErqxD9UwaikTkDbP+jZrPpcbdU/MnctIR/05j9QHhZqTfPmP27F/rJ78uY/i2zn+6nx5j/2l92Th4XSP6kT0ETY8OY/kA96Nqs+2z85Z0Rpb/C1P8e6uI0G8OY/5WGh1jTv5j8DCYofY+7mPyCwcmiR7eY/MuauJeSD0j8+V1uxv+zmP3KjAbwFEqQ/XP5D+u3r5j96pSxDHOvmP5hMFYxK6uY/ZH/ZPXlYyD+28/3UeOnmP9Sa5h2n6OY/8kHPZtXn5j8eOGdEaW/QPxDpt68D5+Y/LpCg+DHm5j+WQRzr4jYqP1SWIY51ccs/GNnO91PjxT9MN4lBYOXmP2recYqO5OY/iIVa07zj5j+mLEMc6+LmPyQofoy5a9U/YHZPHhZq1T/E0ytlGeLmP8jDQq1p3sk/4XoUrkfh5j//If32deDmP5FTdCSX/7A/HcnlP6Tf5j+ZbhKDwMqxPztwzojS3uY/WoY41sVt0D9ZF7fRAN7mP3a+nxov3eY/lGWIY13c5j/MXUvIBz3bP5zEILByaNU/fK62Yn/ZzT+yDHGsi9vmP9CzWfW52uY/lNQJaCJs0D/uWkI+6NnmP9Ai2/l+atA/DAIrhxbZ5j8IrBxaZDvbPyqpE9BE2OY/yDLEsS5uyz9E+u3rwDnbP4BIv30dONs/EOm3rwPnxD9IUPwYc9fmP7yWkA96Nts/ad5xio7ksj8D16NwPQqXP2b35GGh1uY/hJ7Nqs/V5j/YEvJBz2bVP5lVn6ut2L8/+ORhodY02z8McayL22jQP240gLdAgtI/QM9m1edqyz8UYcPTK2XVP6JFtvP91OY/SL99HThn0D/A7J48LNTmPzQzMzMzM9s/iIVa07zjxD9CeVioNc2rP96Th4Va0+Y/o8QgsHJokT/8OnDOiNLmPxriWBe30eY/boEExY8x2z83iUFg5dDmP1UwKqkT0OY/qoJRSZ2A0j+UZYhjXdzGP6rP1VbsL9s/hA1Pr5Rl0D/m0CLb+X7SP06vlGWIY9U/kQ96Nqs+tz9z1xLyQc/mPwAi/fZ14MQ/QGDl0CLbyT+Rfvs6cM7mP0DxY8xdS8A/ryXkg57N5j/MzMzMzMzmP9GzWfW52ro/cRsN4C2QsD/0SlmGONbNP+pztRX7y+Y/CBueXinL5j8mwoanV8rmP+Ydp+hILts/RGlv8IXJ5j9iEFg5tMjmP0h7gy9MpsI/od++Dpwzsj8ibHh6pSzbP0MMAiuHFpk/gLdAguLH5j+eXinLEMfmP166SQwCK9s/vAUSFD/G5j/arPpcbcXmP5oIG55eKds/+FPjpZvE5j8W+8vuycPmPzSitDf4wuY/UkmdgCbC5j8gH/RsVn3SP3i+nxov3cQ/cPCFyVTB5j+Nl24Sg8DmP6s+V1uxv+Y/bOf7qfHSzT+K/WX35GHVP8nlP6TfvuY/45wRpb3Blz/njCjtDb7mPwU0ETY8veY/Itv5fmq85j/sWkI+6NnEP+SDns2qz80/QILix5i75j9eKcsQx7rmP8ZLN4lBYNU/fNCzWfW55j/WVuwvuyfbP0S28/3UeME/mnecoiO55j+4jQbwFkjAPwKaCBueXtU/uB6F61G45j8Spb3BFybbP9bFbTSAt+Y/md2Th4Vasz/0bFZ9rrbmP9Ei2/l+arw/0k1iEFg5pD9wio7k8h/CP/INvjCZKqg/EhQ/xty15j+4/If029fJP07zjlN0JNs/KX6MuWsJuT8+6Nms+lzVPzC7Jw8LteY/ikFg5dAi2z/G+X5qvHSDP05iEFg5tOY/bAn5oGez5j/EjzF3LSHbPwDeAgmKH9s/PCzUmuYd2z9cbcX+snvSP2HD0ytlGbI/irDh6ZWy5j+oV8oyxLHmP8b+snvysOY/wFsgQfFj0D/8qfHSTWLQP+Olm8QgsOY/mLuWkA960j8BTYQNT6/mP3h6pSxDHNs/H/RsVn2u5j89m1Wfq63mP9Ii2/l+aqw/tMh2vp8a2z9bQj7o2azmP3jpJjEIrOY/lpAPejar5j+0N/jCZKrmP/AWSFD8GNs/vFKWIY51wT/S3uALk6nmPyxlGeJYF9s/8IXJVMGo5j8OLbKd76fmPyzUmuYdp+Y/aLPqc7UV2z+kAbwFEhTbP0p7gy9MpuY/MJkqGJXUyT9oImx4eqXmP8N2vp8aL50/I1UwKqkTkD96Nqs+V1vVP7aEfNCzWdU/hslUwaik5j+kcD0K16PmP+BPjZduEts/1AloImx40j84+MJkqmDQP5E6AU2EDb8/whcmUwWj5j9Ra5p3nKKzP3RGlPYGX9A/4L4OnDOi5j8anl4pyxDbP7CUZYhjXdA//mX35GGh5j8cDeAtkKDmP8IXJlMFo6I/DAIrhxbZxj+opE5AE2HDPzm0yHa+n+Y/6uI2GsBb0D9XW7G/7J7mP/LSTWIQWNU/VuwvuycP2z91ApoIG57mPxnpJjEIrGw/kjoBTYQN2z/iaiv2l92jP5OpglFJneY/LiEf9GxW1T8gQfFjzF3DP7FQa5p3nOY/EFg5tMh20j/O91PjpZvmP+niNhrAW7A/7J48LNSa5j8KRiV1AprmPyjtDb4wmeY/RpT2Bl+Y5j9kO99PjZfmP1wgQfFjzM0/zojS3uAL2z8K16NwPQrbPyYxCKwcWtA/wVsgQfFjvD+C4seYu5bmP6CJsOHpleY/RiV1ApoI2z9MpgpGJXXSP4JzRpT2Bts/1LzjFB3JzT++MJkqGJXmP4j029eBc9I/3NeBc0aU5j/6fmq8dJPmPxgmUwWjkuY/Ns07TtGR5j/DSQwCK4eWP1R0JJf/kOY/vsEXJlMF2z9yGw3gLZDmP0xZhjjWxc0/kML1KFyP5j9qb/CFyVTVP/oP6bevA9s/rWnecYqO5j+DD3o2qz6XPzZeukkMAts/pL3BFyZT1T9k9+RhodbEP8sQx7q4jeY/cKyL22gA2z/EQq1p3nHSP+m3rwPnjOY/B1+YTBWM5j8lBoGVQ4vmP0Ktad5xiuY/YFRSJ6CJ5j+Bc0aU9ga/P377OnDOiOY/rPpcbcX+2j+coiO5/IfmP7pJDAIrh+Y/6Egu/yH92j/E9Shcj8LNP7hrCfmgZ8s/2PD0SlmG5j/2l92Th4XmPxQ/xty1hOY/MuauJeSD5j9QjZduEoPmP240gLdAguY/MRE2PL1Stj8AkX77OnDSP4zbaABvgeY/Yn/ZPXlY0D8830+Nl27SPzKHFtnO96M/qoJRSZ2A5j/IKTqSy3/mP+bQItv5fuY/JJf/kH772j8DeAskKH7mP/kx5q4l5LM/2Bt8YTJVyD9g5dAi2/naPyEf9GxWfeY/P8bctYR85j9dbcX+snvmP3sUrkfheuY/mLuWkA965j+cM6K0N/jaP7Zif9k9eeY/di0hH/Rs0j/UCWgibHjmP/KwUGuad+Y/EFg5tMh25j8u/yH99nXmP+P5fmq8dJM/TKYKRiV15j+ye/KwUGvSP2pN845TdOY/ktQJaCJsqD+I9NvXgXPmP6abxCCwcuY/Y3h6pSxDnD/EQq1p3nHmP+LplbIMceY/2IFzRpT22j/gC5OpglHVPxxaZDvfT9U/AJF++zpw5j8yOpLLf0ivP4mO5PIf0r8/HjhnRGlv5j8830+Nl27mP1mGONbFbeY/FNBE2PD02j8Zt9EA3gK5P3ctIR/0bOY/ldQJaCJs5j+ze/KwUGvmP9Ei2/l+auY/7snDQq1p5j9Ci2zn+6mhP1ioNc07TtU/UB4Wak3z2j+pE9BE2PC0PwxxrIvbaOY/qDXNO07RyT/uycNCrWnSP57Nqs/VVtA/KhiV1Alo5j9Iv30dOGfmP2ZmZmZmZuY/hA1Pr5Rl5j8g0m9fB87JP4xs5/up8do/orQ3+MJk5j/AWyBB8WPmP94CCYofY+Y//Knx0k1i5j8aUdobfGHmP8a6uI0G8No/OPjCZKpg5j8CCYofY+7aP1afq63YX+Y/Pldbsb/s2j90RpT2Bl/mP5LtfD81XuY/ySk6kst/uD96pSxDHOvaP5T2Bl+YTNU/tvP91Hjp2j+NWtO84xR9P1kXt9EA3rI/wgUSFD/GrD84kst/SL/NP6+UZYhjXeY/8kHPZtXn2j/NO07RkVzmP1C4HoXrUcg/EXo2qz5Xuz/r4jYawFvmPwmKH2PuWuY/LpCg+DHm2j+Y3ZOHhVrDP2recYqO5No/JzEIrBxa5j8wCKwcWmTLP6YsQxzr4to/4noUrkfh2j9E2PD0SlnmPyoYldQJaNI/8o5TdCSXrz9if9k9eVjmP4x1cRsN4MU/mf+Qfvs6sD8cyeU/pN/aPxB6Nqs+V8M/gCbChqdX5j8ioImw4emlP57Nqs/VVuY/mG4Sg8DKyT/IVMGopE7IP7x0kxgEVuY/2ht8YTJV5j9mZmZmZmbSP8AXJlMFo8I/+MJkqmBU5j/QRNjw9ErVP7AubqMBvM0/qKROQBNhyz8Wak3zjlPmPzQRNjy9UuY/UrgehetR5j9wXwfOGVHmP44G8BZIUOY/DJOpglFJ1T+srdhfdk/mP1gXt9EA3to/KMsQx7q4zT9I4XoUrkfVP8pUwaikTuY/2ht8YTJV0D+UZYhjXdzaP+j7qfHSTeY/0LNZ9bna2j8IzhlR2hvEPwWjkjoBTeY/I0p7gy9M5j9B8WPMXUvmP9yTh4Va08Q/DAIrhxbZ2j+EL0ymCkbVP1+YTBWMSuY/fT81XrpJ5j+a5h2n6EjmPxEtsp3vp7Y/uI0G8BZI5j/WNO84RUfmP/Tb14FzRuY/EoPAyqFF5j/AfR04Z0TVP0hQ/Bhz19o/Qj7o2az6rD/6y+7Jw0LVPzAqqRPQROY/orQ3+MJk0j8Bs3vysFC7P07RkVz+Q+Y/IEHxY8xdyz/oJjEIrBzCP2x4eqUsQ+Y/hJ7Nqs/V2j+KH2PuWkLmP6jGSzeJQeY/NhrAWyBB1T/GbTSAt0DmP0LG3LWEfKA/5BQdyeU/5j9yaJHtfD/VPwK8BRIUP+Y/wOyePCzU2j+utmJ/2T3VPyBj7lpCPuY/PgrXo3A95j8tQxzr4jYaP1uxv+yePOY/3gIJih9j0j95WKg1zTvmP5f/kH77OuY/hJ7Nqs/Vxj9xrIvbaAC/P7WmeccpOuY//DpwzojS2j9SFYxK6gSkPziJQWDl0No/ctcS8kHP2j/TTWIQWDnmP/D0SlmGOOY/VDAqqRPQxD8OnDOitDfmPyxDHOviNuY/EAu1pnnHyT+uJeSDns3aP4gW2c73U8M/aZHtfD81vj/qc7UV+8vaP+oENBE2PNU/RiV1ApoIiz9K6gQ0ETbmP9KI0t7gC6M/aJHtfD815j+GONbFbTTmP6G0N/jCZLo/pN++Dpwz5j8mwoanV8raP8KGp1fKMuY/4C2QoPgx5j9iEFg5tMjaP/7UeOkmMeY/HHxhMlUw5j8As3vysFDDPzojSnuDL+Y/WMoyxLEu5j92cRsN4C3mP0DxY8xdS8g/GlHaG3xh0j+UGARWDi3mP55eKcsQx9o/oGez6nO1zT+yv+yePCzmP89m1edqK+Y/2qz6XG3F2j/tDb4wmSrmPyZTBaOSOtU/C7Wmeccp5j8YBFYOLbLNPylcj8L1KOY/RwN4CyQo5j9kqmBUUifmPzlO0ZFc/rM/glFJnYAm5j+g+DHmriXmP7iNBvAWSMg/vp8aL90k5j/cRgN4CyTmP/rt68A5I+Y/GJXUCWgi5j82PL1SliHmP2Kh1jTvONU/VOOlm8Qg5j8W+8vuycPaP5jdk4eFWss/coqO5PIf5j+QMXctIR/mP67YX3ZPHuY/zH9Iv30d5j/qJjEIrBzmPynLEMe6uL0/CM4ZUdob5j9Wn6ut2F/SP1JJnYAmwto/JXUCmggb5j9DHOviNhrmP2HD0ytlGeY/kKD4MeauzT9/arx0kxjmP46XbhKDwNo/nRGlvcEX5j+6uI0G8BbmP9hfdk8eFuY/9gZfmEwV5j8UrkfhehTmPzJVMCqpE+Y/UPwYc9cS5j84RUdy+Q/BP8jlP6Tfvto/Aqrx0k1ioD9uowG8BRLmP4xK6gQ0EeY/qvHSTWIQ5j8ENBE2PL3aPzAqqRPQRMg/BBIUP8bcxT/ImLuWkA/mP+Y/pN++DuY/QILix5i72j8E54wo7Q3mPyKOdXEbDeY/QDVeukkM5j9gw9MrZRnCP5LtfD81XtI/XtxGA3gL5j980LNZ9bnaP3uDL0ymCuY/STeJQWDlsD+ZKhiV1AnmP7fRAN4CCeY/uB6F61G42j9jIEHxY8ydP9V46SYxCOY/8x/Sb18H5j8Qx7q4jQbmP6jGSzeJQcg/Lm6jAbwF5j/0bFZ9rrbaP0wVjErqBOY/hsQgsHJogT9qvHSTGATmP3yutmJ/2cU/iGNd3EYD5j+mCkYldQLmPzC7Jw8Ltdo/xLEubqMB5j/Db18HzhmRP847TtGRXNI/4lgXt9EA5j+e76fGSzfVPwAAAAAAAOY/OLTIdr6fwj8ep+hILv/lPwiKH2PuWtI/PE7RkVz+5T9a9bnaiv3lP4inV8oyxMk/eJyiI7n85T+WQ4ts5/vlP4BqvHSTGMQ/tOpztRX75T/RkVz+Q/rlP+84RUdy+eU/FmpN845T0D8jhxbZzveTPw3gLZCg+OU/zMzMzMzMxD8rhxbZzvflP0ku/yH99uU/ZtXnaiv25T+EfNCzWfXlP6IjufyH9OU/wMqhRbbz5T9sCfmgZ7PaP95xio7k8uU/qFfKMsSx2j/8GHPXEvLlP+Slm8QgsNo/GsBbIEHx5T9DzTtO0ZGcPzhnRGlv8OU/Vg4tsp3v5T90tRX7y+7lP/RKWYY41sU/HvRsVn2u2j/8OnDOiNLGP3RPHhZqTcM/dNcS8kHPxj+SXP5D+u3lP7AD54wo7eU/zqrP1Vbs5T/sUbgehevlPwr5oGez6uU/6Wor9pfdsz8noImw4enlP0VHcvkP6eU/Y+5aQj7o5T+BlUOLbOflPwg9m1Wfq80/2j15WKg11T9EaW/whcnEP+xztRX7y8Y/FoxK6gQ01T+fPCzUmublP7zjFB3J5eU/EHo2qz5Xyz9Q2ht8YTLVP7wFEhQ/xsQ/2or9Zffk5T9SliGOdXGrP1pCPujZrNo/+DHmriXk5T8W2c73U+PlP4DZPXlYqM0/jCjtDb4w1T+WkA96NqvaPzSAt0CC4uU/0t7gC5Op2j9SJ6CJsOHlP4kW2c73U7M/cM6I0t7g5T+OdXEbDeDlP6wcWmQ73+U/ysNCrWne5T8OLbKd76faP8h2vp8aL9U/MCqpE9BEwD/oaiv2l93lPwYSFD/G3OU/JLn8h/Tb5T9s5/up8dLFPwTFjzF3LdU/UrgehetR0D9CYOXQItvlP/xD+u3rwMk/QBNhw9Mr1T9gB84ZUdrlP32utmJ/2eU/m1Wfq63Y5T98YTJVMCrVP7ivA+eMKNU/ufyH9NvX5T/Xo3A9CtflP/VKWYY41uU/9P3UeOkm1T9Ke4MvTKbaP+K1hHzQs6k/EvJBz2bV5T+GyVTBqKTaPzCZKhiV1OU/+HXgnBGlzT8gY+5aQj7IP05AE2HD0+U/mP+Qfvs6yD/CFyZTBaPaP2zn+6nx0uU/IrByaJHtrD+IFtnO91PLP4qO5PIf0uU/qDXNO07R5T/G3LWEfNDlP9hfdk8eFsI//mX35GGh2j+OBvAWSFDQP+SDns2qz+U/IUp7gy9Mtj8CK4cW2c7lPyDSb18HzuU/PnlYqDXN5T9E2PD0SlnSP1wgQfFjzOU/escpOpLL5T/KVMGopE7QP+zrwDkjSsM/mG4Sg8DK5T+2FfvL7snlP3TgnBGlvck/1LzjFB3J5T/xY8xdS8jlPw8LtaZ5x+U/Zry4jQbwRj8tsp3vp8blP0tZhjjWxeU/OrTIdr6f2j9pAG+BBMXlP4anV8oyxOU/pE5AE2HD5T90ApoIG57aP8L1KFyPwuU/4JwRpb3B5T/+Q/rt68DlPxzr4jYawOU/OpLLf0i/5T9YObTIdr7lP3bgnBGlveU/lIeFWtO85T8Go5I6AU3QP+i3rwPnjMA/si5uowG85T/Q1VbsL7vlP+58PzVeuuU/sFBrmnec2j/snjws1JraPzBMpgpGJdU/DCQofoy55T8qyxDHurjlP0dy+Q/pt+U/KO0NvjCZ2j9lGeJYF7flP2Q730+Nl9o/+AZfmEwVxD/sfD81XrrJP4PAyqFFtuU/oWez6nO15T9kiGNd3EbDP78OnDOitOU/oImw4emV2j/ctYR80LPlP9zXgXNGlNo/+lxtxf6y5T8YBFYOLbLlPzarPldbseU/VFInoImw5T8As3vysFDLP3L5D+m3r+U/kKD4Meau5T+uR+F6FK7lP8zuycNCreU/GCZTBaOS2j/qlbIMcazlP2yad5yiI9U/CD2bVZ+r5T+AJsKGp1fSP3ASg8DKoc0/VHQkl/+Q2j8m5IOezarlP5DC9Shcj9o/RIts5/up5T9BeVioNc27P+SuJeSDns0/IlHaG3xhoj+m6Egu/yHVP2IyVTAqqeU/gNk9eVio5T+dgCbChqflP7x0kxgEVtI/uycPC7Wm5T8jSFD8GHOXPymgibDh6bU/4jYawFsg1T/ZzvdT46XlP/d14JwRpeU/FR3J5T+k5T8ehetRuB7VP8oQx7q4jdo/MsSxLm6j5T9a07zjFB3VP1BrmnecouU/5IOezarPxT9uEoPAyqHlP9wkBoGVQ8M/Bl+YTBWM2j+MuWsJ+aDlP7BQa5p3nMI/qmBUUieg5T9sowG8BRLEP8gHPZtVn+U/5q4l5IOe5T8EVg4tsp3lP2Hl0CLb+b4/Iv32deCc5T/kP6Tfvg7EP0Ktad5xito/QKTfvg6c5T+WIY51cRvVP0DxY8xdS9A/XkvIBz2b5T9++zpwzojaP7pJDAIrh9o/fPKwUGua5T+amZmZmZnlP7hAguLHmOU/1udqK/aX5T/2l92Th4XaPzLmriXkg9o/845TdCSX5T9uNIC3QILaP/jCZKpgVNI/0m9fB84Z1T8RNjy9UpblP2BUUiegicA/ZBniWBe3yT8v3SQGgZXlP6qCUUmdgNo/Ej/G3LWErD9NhA1Pr5TlP2sr9pfdk+U/AvAWSFD8qD+I0t7gC5PlP1zcRgN4C8Q/pnnHKTqS5T/EILByaJHlPw6+MJkqGNU/4seYu5aQ5T8Ab4EExY/lPzKpE9BE2KA/HhZqTfOO5T/UeOkmMQjEP+bQItv5fto/PL1SliGO5T9UwaikTkDDP0oMAiuHFtU/KO0NvjCZwj9aZDvfT43lP4Za07zjFNU/wqikTkAT1T8ZbqMBvAViP6JwPQrXo6A/eAskKH6M5T+WsgxxrIvlP3RPHhZqTcs/tFn1udqK5T/SAN4CCYrlP/Cnxks3ieU/Dk+vlGWI5T8s9pfdk4flP0mdgCbChuU/adXnaiv2tz9nRGlv8IXlP+MmMQisHJo/IB/0bFZ92j9Q/Bhz1xLCP8xdS8gHPcM/TBWMSuoExD9cbcX+snvaP1wgQfFjzMU/gwKaCBuenj+Yu5aQD3raP4XrUbgeheU//PZ14JwR1T+jkjoBTYTlP8E5I0p7g+U/3uALk6mC5T/UCWgibHjaP/yH9NvXgeU/EFg5tMh22j8aL90kBoHlPxCcM6K0N8g/hDjWxW00yD841sVtNIDlPzTvOEVHcsE/Vn2utmJ/5T9MpgpGJXXaP3Qkl/+QfuU/kst/SL995T+wcmiR7XzlP84ZUdobfOU/7MA5I0p75T8KaCJseHrlPygPC7WmeeU/1LzjFB3JxT/ImLuWkA/CP0T67evAOcM/Rrbz/dR45T9ANV66SQzCP2AQWDm0yMY/iPTb14Fz2j+gibDh6ZXCP2Rd3EYDeOU/ggTFjzF35T/EQq1p3nHaPzQRNjy9UtI/n6ut2F925T+9UpYhjnXlP9v5fmq8dOU/7OvAOSNKyz8AkX77OnDaP/mgZ7Pqc+U/F0hQ/Bhz5T807zhFR3LlP3BfB84ZUdI/3LWEfNCzyT84RUdy+Q/VP1KWIY51ceU/cD0K16Nw5T8Rg8DKoUW2P8LjFB3J5a8/juTyH9Jv5T+si9toAG/lP8oyxLEubuU/VFInoImwyT/o2az6XG3lPwaBlUOLbOU/rK3YX3ZP0j/o+6nx0k3SP3STGARWDtU/fD81XrpJ0D8kKH6MuWvlP0LPZtXnauU/w40G8BZIkD+w4emVsgzVP+wvuycPC9U/YHZPHhZq5T9kiGNd3EbLP34dOGdEaeU/nMQgsHJo5T8ofoy5awnVP7prCfmgZ+U/2BLyQc9m5T/2udqK/WXlPxNhw9MrZeU/uI0G8BZI0D8xCKwcWmTlP0+vlGWIY+U/bVZ9rrZi5T+L/WX35GHlP6ikTkATYeU/xks3iUFg5T8830+Nl27aP3YtIR/0bNo/9NvXgXNG0D/cJAaBlUPLP+TyH9JvX+U/ApoIG55e5T8gQfFjzF3lP8zuycNCrck/VMGopE5Ayz8+6Nms+lzlP1yPwvUoXOU/MVUwKqkTsD+CQWDl0CKrP8O6uI0G8JY/ejarPldb5T8ZBFYOLbK9P5jdk4eFWuU/snvysFBr2j+2hHzQs1nlPzAqqRPQRNA/uNEA3gIJwj/uycNCrWnaP9QrZRniWOU/8tJNYhBY5T8QejarPlflPxK+MJkqGKU/AhIUP8bcpT8uIR/0bFblP6jGSzeJQcA/TMgHPZtV5T/MXUvIBz3LP2x4eqUsQ9A/aW/whclU5T8qGJXUCWjaP2TMXUvIB9U/ZmZmZmZm2j8gY+5aQj7AP4cW2c73U+U/JEp7gy9M0j9Ei2zn+6nJP4Pix5i7lpA/XEvIBz2bzT+lvcEXJlPlP8NkqmBUUuU/oBov3SQG1T/hC5OpglHlP6K0N/jCZNo//rJ78rBQ5T/SAN4CCYqvPxxaZDvfT+U/vCcPC7WmyT86AU2EDU/lPzGyne+nxrs/WKg1zTtO5T9E+u3rwDnLP3ZPHhZqTeU/lPYGX5hM5T+yne+nxkvlP9BE2PD0SuU/vJaQD3o2yz/eAgmKH2PaP+7rwDkjSuU/sOHplbIMwT8Mk6mCUUnlP9xoAG+BBNU/KjqSy39I5T/U52or9pfNPzQzMzMzM8s/SOF6FK5H5T9miGNd3EblP4QvTKYKRuU/otY07zhF5T9yxf6ye/KgP799HThnROU/GLfRAN4C1T80orQ3+MLEP9KhRbbz/aQ/3SQGgZVD5T/7y+7Jw0LlPxlz1xLyQeU/GlHaG3xh2j83GsBbIEHlP1TBqKROQOU/cmiR7Xw/5T9Wn6ut2F/aP5APejarPuU/rrZif9k95T9SBaOSOgHVP8xdS8gHPeU/6gQ0ETY85T+OU3Qkl//UPwisHFpkO+U/ku18PzVe2j/81HjpJjHIPyZTBaOSOuU/RPrt68A55T9iodY07zjlP4BIv30dOOU/AbwFEhQ/tj80xLEubqPJPwM0ETY8vZI/8evAOSNKuz+BL0ymCka1P57vp8ZLN+U/weyePCzUuj8DCYofY+6aP847TtGRXNo/vJaQD3o25T+sz9VW7C/LP16YTBWMStI/2j15WKg15T+oxks3iUHQPwiKH2PuWto/TIQNT6+UzT/45GGh1jTlPxWMSuoENOU/RNjw9EpZ2j+a5h2n6EjSP4AmwoanV9o/mUwVjErqtD8zMzMzMzPlP5j/kH77OsA/1jTvOEVH0j8RvjCZKhi1P1HaG3xhMuU/yqFFtvP91D9vgQTFjzHlP40o7Q2+MOU/vHSTGARW2j+qz9VW7C/lP8QgsHJokc0/BvAWSFD81D/Idr6fGi/lP+Ydp+hILuU/MG6jAbwFwj9CPujZrPrUP6yL22gAb8E/+MJkqmBU2j8ExY8xdy3lPyQofoy5a8E/Imx4eqUs5T/kFB3J5T/QP0ATYcPTK+U/XrpJDAIr5T80ETY8vVLaP6hgVFInoMk/fGEyVTAq5T95xyk6ksu/P+lRuB6F67E/ErWmeccpqj+aCBueXinlP7ivA+eMKOU/1lbsL7sn5T8kbHh6pSzLP/T91HjpJuU/cF8HzhlR2j8Spb3BFyblP6yt2F92T9o/foy5awn51D8wTKYKRiXlP1I5tMh2vq8/TvOOU3Qk5T9rmnecoiPlP6w+V1uxv8Q/6Pup8dJN2j8kSnuDL0zaP7raiv1l99Q/jQfOGVHaez+JQWDl0CLlP16YTBWMSto/p+hILv8h5T/CmLuWkA+qP8WPMXctIeU/4zYawFsg5T8A3gIJih/lPxKDwMqhRdI/o5RliGNdnD8ehetRuB7lP5rmHafoSNo/PCzUmuYd5T9a07zjFB3lP3h6pSxDHOU/sZRliGNdvD+WIY51cRvlP+IbfGEyVaA/1jTvOEVH2j+0yHa+nxrlP07RkVz+Q9I/IGPuWkI+0D/Sb18HzhnlP/AWSFD8GOU/Dr4wmSoY5T8Sg8DKoUXaPyxlGeJYF+U/opmZmZmZqT/EsS5uowHEP0oMAiuHFuU/aLPqc7UV5T9ZyjLEsS6+P4Za07zjFOU/pAG8BRIU5T/BqKROQBPlP/YoXI/C9dQ/30+Nl24S5T/99nXgnBHlPxueXinLEOU/OUVHcvkP5T8ydy0hH/TUP1bsL7snD+U/dJMYBFYO5T9O0ZFc/kPaP4ofY+5aQto/CfAWSFD8uD+SOgFNhA3lP8ZtNIC3QNo/ArwFEhQ/2j9uxf6ye/LUPyTb+X5qvMQ/sOHplbIM5T/OiNLe4AvlPz4K16NwPdo/7C+7Jw8L5T9ZDi2yne+3PwrXo3A9CuU/KH6MuWsJ5T9GJXUCmgjlP7yWkA96NsM/GeviNhrAuz9kzF1LyAflP4JzRpT2BuU/idtoAG+BtD+gGi/dJAblP1EeFmpN874/vsEXJlMF5T/caABvgQTlP6gT0ETY8NQ/elioNc072j88vVKWIY7NP7SmeccpOto/XLG/7J480D/kYaHWNO/UP43Lf0i/fX0/+g/pt68D5T8JJCh+jLm7P/D0SlmGONo/F7fRAN4C5T9DETY8vVKWP5gIG55eKcs/GRSuR+F6ZD81XrpJDALlPxClvcEXJss/UwWjkjoB5T9xrIvbaADlPyCwcmiR7dQ/j1N0JJf/5D+t+lxtxf7kP8qhRbbz/eQ/jbq4jQbwdj/oSC7/If3kPyxDHOviNto/EJwzorQ3wD9oke18PzXaP1z+Q/rt69Q/ih9j7lpC0j9pAG+BBMW/PwbwFkhQ/OQ/JJf/kH775D+IQWDl0CLLP0I+6Nms+uQ/YOXQItv55D+R7Xw/NV66P6Tfvg6cM9o/4C2QoPgx2j9+jLlrCfnkP5wzorQ3+OQ/HHxhMlUw2j+YTBWMSurUP5b/kH77OtA/utqK/WX35D/YgXNGlPbkP/YoXI/C9eQ/FNBE2PD05D8ydy0hH/TkP1AeFmpN8+Q/2Kz6XG3Fxj9uxf6ye/LkP4ts5/up8eQ/qRPQRNjw5D/HuriNBvDkP+VhodY07+Q/tFn1udqKzT8DCYofY+7kPyCwcmiR7eQ/Pldbsb/s5D+igCbChqenP1jKMsSxLto/XP5D+u3r5D96pSxDHOvkP5hMFYxK6uQ/lBgEVg4t2j+28/3UeOnkP8ZtNIC3QNI/1JrmHafo5D/QZtXnaivaP6QKRiV1AsI/CrWmeccp2j8CvAUSFD/SP/JBz2bV5+Q/xnvysFBrij8Q6bevA+fkPy6QoPgx5uQ/RgN4CyQo2j9MN4lBYOXkP9Sa5h2n6NQ/at5xio7k5D+CUUmdgCbaP4iFWtO84+Q/EOm3rwPn1D/STWIQWDnQP76fGi/dJNo/pixDHOvi5D/E0ytlGeLkP0w3iUFg5dQ/+u3rwDkj2j/5KFyPwvW4P4iFWtO849Q/TFmGONbFxT/hehSuR+HkPzY8vVKWIdo/PgrXo3A90j8A3gIJih/LP/8h/fZ14OQ/coqO5PIf2j8dyeU/pN/kP8TTK2UZ4tQ/O3DOiNLe5D/C/rJ78rCgP/4h/fZ14NQ/WRe30QDe5D92vp8aL93kP5RliGNd3OQ/OnDOiNLe1D+u2F92Tx7aP+omMQisHNo/2aNwPQrXsz+yDHGsi9vkPw6cM6K0N9A/dHEbDeAtyD8s9pfdk4fNPyZ1ApoIG9o/7A2+MJkqyD/Qs1n1udrkP+5aQj7o2eQ/YMPTK2UZ2j8MAiuHFtnkP4ajAbwFEoQ/KqkT0ETY5D+cEaW9wRfaP0hQ/Bhz1+Q/ZvfkYaHW5D/YX3ZPHhbaP4SezarP1eQ/okW28/3U5D/A7J48LNTkP96Th4Va0+Q//DpwzojS5D8a4lgXt9HkPzeJQWDl0OQ/Bqrx0k1igD9VMCqpE9DkP3PXEvJBz+Q/pJI6AU2EzT+Rfvs6cM7kP68l5IOezeQ/zMzMzMzM5D/qc7UV+8vkPwgbnl4py+Q/UgwCK4cWqT+cxCCwcmjBP0rqBDQRNtA/FK5H4XoU2j8mwoanV8rkP0Rpb/CFyeQ/UPwYc9cS2j+MSuoENBHaP8iYu5aQD9o/YhBYObTI5D+At0CC4sfkP3a+nxov3dQ/cgKaCBuerj9kqmBUUifIP55eKcsQx+Q/vAUSFD/G5D/arPpcbcXkP/hT46WbxOQ/FvvL7snD5D80orQ3+MLkP4nS3uALk7k/UkmdgCbC5D9w8IXJVMHkP7El5IOezbo/Br4wmSoYhT+yDHGsi9vUP+5aQj7o2dQ/jZduEoPA5D8E54wo7Q3aPxRhw9MrZcE/qz5XW7G/5D/J5T+k377kP+eMKO0NvuQ/BTQRNjy95D8i2/l+arzkP0A1XrpJDNo/QILix5i75D+GONbFbTTQPyD99nXgnMk/oYAmwoantz/ChqdXyjLQP14pyxDHuuQ/fIMvTKYK2j980LNZ9bnkP5p3nKIjueQ/eU8eFmpNsz+4HoXrUbjkP1moNc07TrE/1sVtNIC35D+20QDeAgnaP/RsVn2utuQ/EhQ/xty15D8wuycPC7XkP/7UeOkmMdA/TmIQWDm05D9sCfmgZ7PkP4qw4emVsuQ/qFfKMsSx5D96WKg1zTvSP8b+snvysOQ/8h/Sb18H2j+hzarP1Va8P+Olm8QgsOQ/AU2EDU+v5D8qqRPQRNjUPx/0bFZ9ruQ/Lm6jAbwF2j89m1Wfq63kP1tCPujZrOQ/arx0kxgE2j946SYxCKzkP6YKRiV1Ato/ZvfkYaHW1D+WkA96NqvkP7Q3+MJkquQ/0t7gC5Op5D+iRbbz/dTUP/CFyVTBqOQ/3pOHhVrT1D/iWBe30QDaPw4tsp3vp+Q/8tvXgXNGpD8ep+hILv/ZPyzUmuYdp+Q/SnuDL0ym5D8a4lgXt9HUP2gibHh6peQ/WvW52or92T+WQ4ts5/vZP1QwKqkT0NQ/hslUwaik5D/SkVz+Q/rZPwzgLZCg+Nk/tKZ5xyk60j+kcD0K16PkP8IXJlMFo+Q/kH77OnDO1D8cL90kBoHNP+C+DpwzouQ//mX35GGh5D8cDeAtkKDkPzm0yHa+n+Q/V1uxv+ye5D91ApoIG57kP5OpglFJneQ/OiNKe4Mv0D9ILv8h/fbZP7FQa5p3nOQ/hHzQs1n12T/O91PjpZvkP+yePCzUmuQ/8PRKWYY40j8KRiV1AprkP5HC9Shcj7I/KO0NvjCZ5D+BJsKGp1e6P0aU9gZfmOQ/ZDvfT42X5D+C4seYu5bkP/GFyVTBqLQ/oImw4emV5D++MJkqGJXkP9zXgXNGlOQ/iYVa07zjtD8sQxzr4jbSP1k5tMh2vr8/+n5qvHST5D/Ziv1l9+SxPxgmUwWjkuQ/dnEbDeAt0D/MzMzMzMzUPwIi/fZ14Kw/Ns07TtGR5D8SSFD8GHOnP1R0JJf/kOQ/chsN4C2Q5D9oke18PzXSP4z9ZffkYcE/uWJ/2T15uD+QwvUoXI/kP2Jtxf6ye6I/rWnecYqO5D/LEMe6uI3kP+m3rwPnjOQ/B1+YTBWM5D+hXinLEMe6PyUGgZVDi+Q/kMt/SL99zT8jufyH9NuXP9xGA3gLJMg/Qq1p3nGK5D9gVFInoInkP377OnDOiOQ/nKIjufyH5D+yv+yePCzQP7pJDAIrh+Q/2PD0SlmG5D/2l92Th4XkP9jw9EpZhsA/FD/G3LWE5D+BSL99HTi3P3h6pSxDHMs/MuauJeSD5D8IG55eKcvUP1CNl24Sg+Q/bjSAt0CC5D+M22gAb4HkPwFm9+RhobY/qoJRSZ2A5D9EaW/whcnUP4C3QILix9Q/yCk6kst/5D/AyqFFtvPZP/wYc9cS8tk/5tAi2/l+5D8DeAskKH7kP/AWSFD8GMs/QVdbsb/svj8hH/RsVn3kP6JVn6ut2K8/P8bctYR85D9dbcX+snvkPzhnRGlv8Nk/exSuR+F65D+Yu5aQD3rkP0lHcvkP6bc/dLUV+8vu2T+2Yn/ZPXnkP7AD54wo7dk/1AloImx45D/ysFBrmnfkP5LtfD81Xqo/EFg5tMh25D8u/yH99nXkPwhoImx4es0/TKYKRiV15D9qTfOOU3TkP4j029eBc+Q/ppvEILBy5D/EQq1p3nHkP+LplbIMceQ/AJF++zpw5D/y/dR46SahPx44Z0Rpb+Q/PN9PjZdu5D9ZhjjWxW3kP4ZxGw3gLYA/spRliGNdrD93LSEf9GzkP+wNvjCZKtA/ldQJaCJs5D+ze/KwUGvkP9Ei2/l+auQ/7snDQq1p5D/sUbgehevZPwxxrIvbaOQ/KhiV1Alo5D9mqPHSTWJAP5iZmZmZmck/KKCJsOHp2T9Iv30dOGfkP2ZmZmZmZuQ/vAUSFD/G1D/4U+Olm8TUP4QNT6+UZeQ/orQ3+MJk5D/E9Shcj8LFP2LuWkI+6Nk/NKK0N/jC1D/AWyBB8WPkP3DwhclUwdQ/3gIJih9j5D8y1sVtNICnP/yp8dJNYuQ/GlHaG3xh5D84+MJkqmDkP1afq63YX+Q/EDY8vVKWyT+sPldbsb/UP3RGlPYGX+Q/Qldbsb/srj+S7Xw/NV7kP6Tfvg6cM9I/r5RliGNd5D+ABMWPMXfNP807TtGRXOQ/6+I2GsBb5D8Jih9j7lrkPycxCKwcWuQ/RNjw9EpZ5D9if9k9eVjkPzxO0ZFc/sM/+KBns+pzzT8ofoy5awnBP4AmwoanV+Q/Rm6jAbwFgj+ezarP1VbkP+aMKO0NvtQ/iNLe4AuTyT+8dJMYBFbkP548LNSa5tk/cD0K16NwzT/aG3xhMlXkP9qK/WX35Nk/+MJkqmBU5D8Wak3zjlPkPzQRNjy9UuQ/UrgehetR5D8W2c73U+PZP3BfB84ZUeQ/jgbwFkhQ5D8i2/l+arzUP6yt2F92T+Q/6Nms+lxtzT/KVMGopE7kP1InoImw4dk/6Pup8dJN5D+OdXEbDeDZPwWjkjoBTeQ/I0p7gy9M5D9eKcsQx7rUP0HxY8xdS+Q/mnecoiO51D9fmEwVjErkPyhcj8L1KNA/4C2QoPgx0j9U46WbxCDIP2SqYFRSJ9A/8lG4HoXroT+06nO1FfvDPxx8YTJVMNI/WMoyxLEu0j+B+zpwzoiyP9bFbTSAt9Q/lBgEVg4t0j99PzVeuknkP5rmHafoSOQ/uI0G8BZI5D/Kw0Ktad7ZP9Y07zhFR+Q/9NvXgXNG5D8Sg8DKoUXkPzAqqRPQROQ/BhIUP8bc2T9O0ZFc/kPkP2x4eqUsQ+Q/ih9j7lpC5D+oxks3iUHkP2B2Tx4Was0/xm00gLdA5D/kFB3J5T/kP0Jg5dAi29k/ArwFEhQ/5D8gY+5aQj7kPxIUP8bctdQ/PgrXo3A95D9bsb/snjzkP3lYqDXNO+Q/AG+BBMWPyT+X/5B++zrkP7WmeccpOuQ/0GbV52or0j9piGNd3EazP9NNYhBYOeQ/fq62Yn/Z2T9OYhBYObTUP6D4MeauJdA/8PRKWYY45D8YJlMFo5LCP7j8h/Tb19k/DpwzorQ35D8sQxzr4jbkP4qw4emVstQ/SuoENBE25D9oke18PzXkP4Y41sVtNOQ/pN++Dpwz5D/Mf0i/fR3IP8KGp1fKMuQ/4C2QoPgx5D95CyQofoy5P/RKWYY41tk//tR46SYx5D8cfGEyVTDkPzojSnuDL+Q/MJkqGJXU2T94CyQofozJP5x3nKIjucQ/kRgEVg4tsj9YyjLEsS7kPwq1pnnHKdI/ghSuR+F6pD/cRgN4CyTQPxyn6Egu/8E/dnEbDeAt5D+UGARWDi3kP7K/7J48LOQ/z2bV52or5D/y9EpZhjimP+0NvjCZKuQ/C7Wmeccp5D9s5/up8dLZP8b+snvysNQ/KVyPwvUo5D9GA3gLJCjSPwJNhA1Pr9Q/qDXNO07R2T9QSZ2AJsLGP0cDeAskKOQ/PJtVn6ut1D/kg57Nqs/ZP2SqYFRSJ+Q/glFJnYAm5D8g0m9fB87ZP1wgQfFjzNk/oPgx5q4l5D++nxov3STkP0Qc6+I2Gsg/3EYDeAsk5D/67evAOSPkPxiV1AloIuQ/4b4OnDOitD82PL1SliHkP1TjpZvEIOQ/o5mZmZmZmT+YbhKDwMrZP3KKjuTyH+Q/Gdlfdk8eZj+QMXctIR/kP9S84xQdydk/rthfdk8e5D/wp8ZLN4nJPw4LtaZ5x9k/M7q4jQbwVj/Mf0i/fR3kP5GXbhKDwLo/6iYxCKwc5D8IzhlR2hvkP0pZhjjWxdk/kQbwFkhQvD8ldQKaCBvkP0Mc6+I2GuQ/yOU/pN++xj8xkKD4Mea+P2HD0ytlGeQ/f2q8dJMY5D+dEaW9wRfkP7q4jQbwFuQ/2F92Tx4W5D/2Bl+YTBXkPxSuR+F6FOQ/NDMzMzMzwz/xFkhQ/BizP4anV8oyxNk/MlUwKqkT5D/C9Shcj8LZP4k41sVtNLA/UPwYc9cS5D9uowG8BRLkP/5D+u3rwNk/jErqBDQR5D86kst/SL/ZP1J0JJf/kK4/qvHSTWIQ5D+CUUmdgCbSP76fGi/dJNI/duCcEaW92T/ImLuWkA/kP/nCZKpgVLI/0n9Iv30dqD+yLm6jAbzZP+Y/pN++DuQ/BOeMKO0N5D8ijnVxGw3kP0A1XrpJDOQ/oBov3SQGwT946SYxCKzUP/rt68A5I9I/rM/VVuwvwz9e3EYDeAvkP2hEaW/whck/e4MvTKYK5D+ZKhiV1AnkP7fRAN4CCeQ/sr/snjwspD+0N/jCZKrUP/CFyVTBqNQ/7nw/NV662T/VeOkmMQjkP/Mf0m9fB+Q/KssQx7q42T/YEvJBz2bNP2QZ4lgXt9k/MvjCZKpgpD8Qx7q4jQbkP6Bns+pztdk/LNSa5h2n1D8QFD/G3LXEP3m+nxov3bQ/QILix5i7xj+8uI0G8BbIPy5uowG8BeQ/4OALk6mCyT9MFYxK6gTkP2q8dJMYBOQ/iGNd3EYD5D+EONbFbTTAP7gehetRuMY/Njy9UpYh0j9os+pztRXLP9y1hHzQs9k/pgpGJXUC5D8YBFYOLbLZP8SxLm6jAeQ/4lgXt9EA5D8AAAAAAADkP2gibHh6pdQ/HqfoSC7/4z88TtGRXP7jP1RSJ6CJsNk/6Z48LNSatj+QoPgx5q7ZP+BPjZduEss/WvW52or94z+kcD0K16PUPyHJ5T+k374/eJyiI7n84z9Yfa62Yn/JP5ZDi2zn++M/WOwvuycPyz+06nO1FfvjP9GRXP5D+uM/7zhFR3L54z8Emggbnl7BP8wZUdobfMk/DeAtkKD44z8rhxbZzvfjP3KKjuTyH9I/SS7/If324z9m1edqK/bjP4R80LNZ9eM/oiO5/If04z+UQ4ts5/vBPxiV1AloItA/YinLEMe6qD9jGeJYF7eRP1HBqKROQLM/zO7Jw0Kt2T/AyqFFtvPjP67YX3ZPHtI/3nGKjuTy4z/8GHPXEvLjPxrAWyBB8eM/RLbz/dR4yT+8UpYhjnXJPzhnRGlv8OM/Vg4tsp3v4z84kst/SL/FP3S1FfvL7uM/klz+Q/rt4z+wA+eMKO3jP+omMQisHNI/zqrP1Vbs4z/gvg6cM6LUP+xRuB6F6+M/JnUCmggb0j8K+aBns+rjPwg9m1Wfq9k/MFUwKqkTyD9U46WbxCDQPyegibDh6eM/YMPTK2UZ0j9FR3L5D+njP5wRpb3BF9I/Y+5aQj7o4z+BlUOLbOfjP588LNSa5uM/vOMUHcnl4z/aiv1l9+TjP/gx5q4l5OM/RIts5/up2T+GPCzUmuaNPxbZzvdT4+M/NIC3QILi4z+A2T15WKjZP1InoImw4eM/cM6I0t7g4z8kbHh6pSzDP7onDwu1ptk/jnVxGw3g4z9xXwfOGVG6P41JDAIrh3Y/Am+BBMWPoT+sHFpkO9/jP8rDQq1p3uM/9nXgnBGl2T/oaiv2l93jPwYSFD/G3OM/qPHSTWIQyD8kufyH9NvjPzLEsS5uo9k/HA3gLZCg1D9YW7G/7J7UP1CvlGWIY80/QmDl0CLb4z9gB84ZUdrjP24Sg8DKodk/fa62Yn/Z4z+bVZ+rrdjjP7n8h/Tb1+M/16NwPQrX4z+N6SYxCKx8P6pgVFInoNk/9UpZhjjW4z/YX3ZPHhbSP+auJeSDntk/EvJBz2bV4z+YCBueXinDPyL99nXgnNk/yEs3iUFgzT8UrkfhehTSPwzgLZCg+ME/MJkqGJXU4z+SqYJRSZ3UP05AE2HD0+M/kDF3LSEf0D9Q/Bhz1xLSP15LyAc9m9k/bOf7qfHS4z+KjuTyH9LjP6g1zTtO0eM/POjZrPpczT/G3LWEfNDjP873U+Olm9Q/I1yPwvUonD/kg57Nqs/jPwIrhxbZzuM/INJvXwfO4z8wuycPC7XGPwpGJXUCmtQ/DbTIdr6fej8+eVioNc3jP1wgQfFjzOM/escpOpLL4z+YbhKDwMrjPzIRNjy9UqY/mpmZmZmZ2T+2FfvL7snjP9bnaiv2l9k/1LzjFB3J4z8Z2c73U+O1P5nEILByaLE/jErqBDQR0j/xY8xdS8jjPw8LtaZ5x+M/EKW9wRcmwz/Mf0i/fR3QP8Psnjws1Jo/LbKd76fG4z+EfNCzWfXBP0tZhjjWxeM/aQBvgQTF4z+Gp1fKMsTjP6ROQBNhw+M/wvUoXI/C4z8B93XgnBG1P7SEfNCzWc0/4r4OnDOipD8SNjy9UpbZP2lEaW/whbk/4JwRpb3B4z/+Q/rt68DjPxzr4jYawOM/TIQNT6+U2T86kst/SL/jP1g5tMh2vuM/RpT2Bl+Y1D+I0t7gC5PZP9CI0t7gC8s/duCcEaW94z+jgCbChqeXP5SHhVrTvOM/si5uowG84z/Q1VbsL7vjPywhH/RsVs0/xCCwcmiR2T/ImLuWkA/SP+58PzVeuuM/+Vxtxf6yuz/GAN4CCYqPPwwkKH6MueM/BOeMKO0N0j8qyxDHurjjP0dy+Q/pt+M/AG+BBMWP2T+C4seYu5bUP2UZ4lgXt+M/PL1SliGO2T+DwMqhRbbjPwjOGVHaG9A/eAskKH6M2T+hZ7Pqc7XjP74wmSoYldQ/tFn1udqK2T+/DpwzorTjP0Ic6+I2GtA/3LWEfNCz4z/wp8ZLN4nZP/pcbcX+suM/kML1KFyPwj8YBFYOLbLjPzarPldbseM/VFInoImw4z9xtRX7y+65P3L5D+m3r+M/iLDh6ZWyxD/6fmq8dJPUP7AubqMBvMU/kKD4Meau4z+uR+F6FK7jP8zuycNCreM/6pWyDHGs4z9+arx0kxjQP0QldQKaCMs/LPaX3ZOH2T8IPZtVn6vjPybkg57NquM/Ns07TtGR1D+jPCzUmuadP0SLbOf7qeM/II51cRsNyD9iMlUwKqnjP4DZPXlYqOM/LIcW2c73wz9J4XoUrkexP52AJsKGp+M/uycPC7Wm4z9JcvkP6be/P9nO91PjpeM/aERpb/CF2T8ZL90kBoG1P7q4jQbwFtA/93XgnBGl4z/2Bl+YTBXQPxUdyeU/pOM/opI6AU2E2T9DguLHmLuWPwk9m1Wfq70/MsSxLm6j4z9JA3gLJCi+P3IbDeAtkNQ/UGuad5yi4z9uEoPAyqHjP4y5awn5oOM/qmBUUieg4z/IBz2bVZ/jP3nQs1n1ubo/3uALk6mC2T+uad5xio7UP0A1XrpJDNI/CYGVQ4tstz/mriXkg57jPxov3SQGgdk/YZhMFYxKuj+y8dJNYhCoPxi30QDeAsE/BFYOLbKd4z98gy9MpgrSPyL99nXgnOM/QKTfvg6c4z/ot68D54zUP15LyAc9m+M/fPKwUGua4z+amZmZmZnjP7hAguLHmOM//NR46SYxwD/W52or9pfjP2kJ+aBns7o/845TdCSX4z8RNjy9UpbjPzJVMCqpE9A/YiBB8WPMrT8v3SQGgZXjP6mbxCCwcrg/TYQNT6+U4z+8wRcmUwXLP2sr9pfdk+M/cZMYBFYOvT8kBoGVQ4vUP1HRkVz+Q7o/iNLe4AuT4z9gVFInoInUP1Z9rrZif9k/pnnHKTqS4z80XrpJDALLP5yiI7n8h9Q/xCCwcmiR4z+Sy39Iv33ZP+LHmLuWkOM/AG+BBMWP4z9GV1uxv+yOPx4Wak3zjuM/PL1SliGO4z/Y8PRKWYbUP1pkO99PjeM/ttEA3gIJ0j+kI7n8h/TDP84ZUdobfNk/eAskKH6M4z/yH9JvXwfSPwpoImx4etk/lrIMcayL4z9GtvP91HjZP7RZ9bnaiuM/0gDeAgmK4z/wp8ZLN4njP8MwmSoYlZQ/rPpcbcX+yj9uowG8BRLQP6S9wRcmU80/KMsQx7q4xT8OT6+UZYjjPxKMSuoENKE/LPaX3ZOH4z9JnYAmwobjP2dEaW/wheM/hetRuB6F4z+CBMWPMXfZP6OSOgFNhOM/HFpkO99PzT/BOSNKe4PjP97gC5OpguM//If029eB4z8aL90kBoHjPxQ/xty1hNQ/mdQJaCJsuD++UpYhjnXZP/igZ7Pqc9k/JJf/kH77yj94Nqs+V1vBPzjWxW00gOM/Lm6jAbwF0j9Wfa62Yn/jP3Qkl/+QfuM/kst/SL994z+wcmiR7XzjP1CNl24Sg9Q/zhlR2ht84z+YKhiV1AnIP+zAOSNKe+M/jNtoAG+B1D8KaCJseHrjP+PgC5OpgpE/KA8LtaZ54z807zhFR3LZP0a28/3UeOM/kWWIY13ctj9kXdxGA3jjP8OI0t7gC5M/cD0K16Nw2T+si9toAG/ZP4IExY8xd+M/6Nms+lxt2T+fq63YX3bjP+PJw0KtaZ4/vVKWIY514z/b+X5qvHTjP/mgZ7Pqc+M/eRSuR+F6tD+gZ7Pqc7XFP2q8dJMYBNI/aU3zjlN0tD8JEhQ/xty1P8gpOpLLf9Q/F0hQ/Bhz4z807zhFR3LjP1KWIY51ceM/Zsx/SL99TT9wPQrXo3DjPxDHuriNBsg/JCh+jLlr2T8YBFYOLbLFP47k8h/Sb+M/pgpGJXUC0j+cM6K0N/jKP6yL22gAb+M/eXEbDeAtsD/KMsSxLm7jP5Cg+DHmrsU/6Nms+lxt4z8EeAskKH7UP2B2Tx4Watk/nMQgsHJo2T8GgZVDi2zjP+EkBoGVQ7s/QyV1ApoImz8kKH6MuWvjP0LPZtXnauM/iGNd3EYDyD/YEvJBz2bZP2B2Tx4WauM/GMBbIEHxwz8UYcPTK2XZP34dOGdEaeM/nMQgsHJo4z+6awn5oGfjP06vlGWIY9k/2BLyQc9m4z/2udqK/WXjPwg9m1Wfq8U/+XXgnBGlvT+q8dJNYhDQPxNhw9MrZeM/MQisHFpk4z9Pr5RliGPjPz7G3LWEfNQ/iv1l9+Rh2T9tVn2utmLjP5BTdCSX/8A/ehSuR+F61D+2Yn/ZPXnUP4v9ZffkYeM/qKROQBNh4z/pYaHWNO+4PzTvOEVHcsk/xks3iUFg4z/k8h/Sb1/jP8ZLN4lBYNk/4lgXt9EA0j8Cmggbnl7jPx6n6Egu/9E/5j+k374O0D8Cmggbnl7ZP2YwVTAqqUM/IEHxY8xd4z8+6Nms+lzjP1yPwvUoXOM/PujZrPpc2T8U0ETY8PTKP3o2qz5XW9k/ejarPldb4z+Y3ZOHhVrjP/FsVn2utrI/toR80LNZ2T+2hHzQs1njP/LSTWIQWNk/8rBQa5p31D8ijnVxGw3QPy4hH/RsVtk/1CtlGeJY4z/y0k1iEFjjPxB6Nqs+V+M/XtxGA3gL0D8uIR/0bFbjP0zIBz2bVeM/AAAAAAAAyD/priXkg569P8ldS8gHPbs/Lv8h/fZ11D9qb/CFyVTZP6yL22gAb8k/aW/whclU4z+HFtnO91PjP6W9wRcmU+M/w2SqYFRS4z8I8BZIUPzAP+ELk6mCUeM//rJ78rBQ4z/x9EpZhji2PxxaZDvfT+M/jGzn+6nxyj86AU2EDU/jP1ioNc07TuM/pL3BFyZT2T92Tx4Wak3jP5T2Bl+YTOM/sp3vp8ZL4z/gC5OpglHZP9nnaiv2l70/0ETY8PRK4z98jLlrCfnAP4DZPXlYqMU/7uvAOSNK4z8Mk6mCUUnjPxxaZDvfT9k/KjqSy39I4z9YqDXNO07ZP0jhehSuR+M/lPYGX5hM2T9miGNd3EbjP4QvTKYKRuM/0ETY8PRK2T8Mk6mCUUnZP/wYc9cS8sE/ak3zjlN01D+i1jTvOEXjP1r1udqK/dE/SOF6FK5H2T9hzF1LyAe9P4QvTKYKRtk/JCh+jLlryT+/fR04Z0TjP7mWkA96Nrs/mCoYldQJ0D8ytMh2vp+qPwQJih9j7so/3SQGgZVD4z/7y+7Jw0LjPxlz1xLyQeM/0ZrmHafouD83GsBbIEHjP8B9HThnRNk/lkOLbOf70T9UwaikTkDjPwloImx4erU/lPYGX5hMzT9yaJHtfD/jPyPr4jYawJs/+svuycNC2T+QD3o2qz7jP9KRXP5D+tE/rrZif9k94z/MXUvIBz3jP2OKjuTyH5I/6gQ0ETY84z82GsBbIEHZP6abxCCwctQ/CKwcWmQ74z+oV8oyxLHGPyZTBaOSOuM/RPrt68A54z9iodY07zjjP4BIv30dOOM/iadXyjLEsT+e76fGSzfjP7yWkA96NuM/UQWjkjoBvT/aPXlYqDXjP4ENT6+UZbg/cmiR7Xw/2T/45GGh1jTjPxWMSuoENOM/dHEbDeAtwD/4deCcEaXFPwzgLZCg+NE/MzMzMzMz4z9R2ht8YTLjPwkCK4cW2b4/rrZif9k92T/0KFyPwvXAP2+BBMWPMeM/eJyiI7n8xz85qz5XW7G/P40o7Q2+MOM/qs/VVuwv4z/qBDQRNjzZP0gu/yH99tE/hHzQs1n10T8mUwWjkjrZP8h2vp8aL+M/5h2n6Egu4z8zqvHSTWJQP8LKoUW2860/YqHWNO842T8ExY8xdy3jPyJseHqlLOM/QBNhw9Mr4z9eukkMAivjP3xhMlUwKuM/mggbnl4p4z+e76fGSzfZP7ivA+eMKOM/1lbsL7sn4z/0/dR46SbjPxKlvcEXJuM/IPRsVn2uxj+IQWDl0CLDP9R46SYxCNA/WX2utmJ/uT+SKO0NvjCpP8DKoUW289E/MEymCkYl4z/aPXlYqDXZP2LV52or9qc/YUvIBz2btT9O845TdCTjP5iQD3o2q8Y//Bhz1xLy0T/j9EpZhjiWP2uad5yiI+M/FoxK6gQ02T84Z0Rpb/DRP4lBYOXQIuM/UNobfGEy2T+n6Egu/yHjP/DSTWIQWME/jCjtDb4w2T/S52or9petPwyTqYJRSc0/xY8xdy0h4z/jNhrAWyDjP3S1FfvL7sE/WUI+6Nmsuj8A3gIJih/jPx6F61G4HuM/yHa+nxov2T8GDr4wmSqIP/A4RUdy+cc/PCzUmuYd4z/i6ZWyDHHUP1rTvOMUHeM/Ye5aQj7ouT94eqUsQxzjP5YhjnVxG+M/BMWPMXct2T+0yHa+nxrjP4QvTKYKRs0/HjhnRGlv1D98pSxDHOvKP4E/NV66Sbw/WoY41sVt1D9AE2HD0yvZP3xhMlUwKtk/0m9fB84Z4z/wFkhQ/BjjP+mVsgxxrLs/dLUV+8vu0T9ob/CFyVTBPw6+MJkqGOM/SXuDL0ymuj8sZRniWBfjP0oMAiuHFuM//MvuycNCzT9os+pztRXjP4Za07zjFOM/pAG8BRIU4z/BqKROQBPjP2jV52or9sc/nMQgsHJoyT/fT42XbhLjPxRhw9MrZck/4AuTqYJRwT/99nXgnBHjP7ivA+eMKNk/lNQJaCJs1D+M/WX35GHJPxueXinLEOM/o63YX3ZPnj/0/dR46SbZPzlFR3L5D+M/VuwvuycP4z8MLbKd76fGPzBMpgpGJdk/ogpGJXUCqj90kxgEVg7jP9Ai2/l+atQ/kjoBTYQN4z8McayL22jUP0E+6Nms+rw/sOHplbIM4z/OiNLe4AvjP+wvuycPC+M/SL99HThn1D8K16NwPQrjPyh+jLlrCeM/bJp3nKIj2T9GJXUCmgjjPwDeAgmKH8M/ZMxdS8gH4z/B0ytlGeK4P4JzRpT2BuM/oBov3SQG4z++wRcmUwXjP4QNT6+UZdQ/3GgAb4EE4z+m6Egu/yHZP8BbIEHxY9Q/+g/pt68D4z8Xt9EA3gLjPzVeukkMAuM/QQrXo3A9uj9GObTIdr6PP1MFo5I6AeM/sAPnjCjt0T/sUbgehevRPyigibDh6dE/4jYawFsg2T8ATYQNT6/EPx6F61G4Htk/WtO84xQd2T9YqDXNO07BP2LuWkI+6NE/cayL22gA4z+PU3Qkl//iP2n35GGh1rQ/rfpcbcX+4j+WIY51cRvZP8qhRbbz/eI/UI2XbhKDwD/oSC7/If3iP4LQs1n1uao/njws1Jrm0T8G8BZIUPziPySX/5B+++I/0m9fB84Z2T9CPujZrPriPw6+MJkqGNk//Knx0k1i1D9g5dAi2/niP36MuWsJ+eI/SgwCK4cW2T+cM6K0N/jiP7raiv1l9+I/2IFzRpT24j/2KFyPwvXiPxTQRNjw9OI/hlrTvOMU2T8ydy0hH/TiP1AeFmpN8+I/bsX+snvy4j+LbOf7qfHiP6kT0ETY8OI/DZ0Rpb3Bdz/HuriNBvDiPwhfmEwVjMI/UfwYc9cSsj9DN4lBYOWQPyJ1ApoIG64/4HGKjuTyxz/lYaHWNO/iPwMJih9j7uI/ILByaJHt4j8+V1uxv+ziP1z+Q/rt6+I/eqUsQxzr4j+YTBWMSuriP7bz/dR46eI/1JrmHafo4j/yQc9m1efiPxDpt68D5+I/LpCg+DHm4j9MN4lBYOXiP8KopE5AE9k/at5xio7k4j+IhVrTvOPiP3Roke18P80/pixDHOvi4j/E0ytlGeLiP+F6FK5H4eI//PZ14JwR2T84+MJkqmDUP/8h/fZ14OI/OEVHcvkP2T90RpT2Bl/UP3STGARWDtk/EMe6uI0G0D8dyeU/pN/iPztwzojS3uI/WRe30QDe4j92vp8aL93iP7Dh6ZWyDNk/QlD8GHPXoj+UZYhjXdziP1QOLbKd78c/sgxxrIvb4j8jHcnlP6SfP9CzWfW52uI/7lpCPujZ4j9CR3L5D+mnPwwCK4cW2eI/KqkT0ETY4j/oBDQRNjzNP0wVjErqBNA/SFD8GHPX4j/pL7snDwu1P2b35GGh1uI/hJ7Nqs/V4j+iRbbz/dTiP+wvuycPC9k/sJRliGNd1D/A7J48LNTiP96Th4Va0+I/MzJVMCqpUz8ofoy5awnZP4D7OnDOiMI//DpwzojS4j+iZ7Pqc7WlPxriWBe30eI/iblrCfmgtz9kzF1LyAfZP4TJVMGopMY/aXh6pSxDvD/aiv1l9+TRPzeJQWDl0OI/xo8xdy0hjz/Mqs/VVuzHP/BBz2bV58o/yCk6kst/wD9VMCqpE9DiP6AaL90kBtk/waikTkATsT/caABvgQTZP3PXEvJBz+I/kX77OnDO4j8W2c73U+PRPwZNhA1Pr4Q/cTSAt0CCsj+vJeSDns3iP8zMzMzMzOI/6uI2GsBb1D/qc7UV+8viPwgbnl4py+I/cYEExY8xtz8mwoanV8riPyYxCKwcWtQ/RGlv8IXJ4j/5oGez6nO1P2IQWDm0yOI/gLdAguLH4j+eXinLEMfiP7wFEhQ/xuI/2qz6XG3F4j+Nrdhfdk9+P/hT46WbxOI/sQxxrIvbuD8pQxzr4ja6Pxi30QDeAtk/FvvL7snD4j80orQ3+MLiP1K4HoXrUag/UkmdgCbC4j9w8IXJVMHiP2jecYqO5Mo/Yn/ZPXlY1D+Nl24Sg8DiP6s+V1uxv+I/cUaU9gZfuD8p5IOezaq/P8nlP6TfvuI/UiegibDh0T/njCjtDb7iPwU0ETY8veI/Itv5fmq84j9AguLHmLviP14pyxDHuuI//GX35GGhxj94eqUsQxzDP+L5fmq8dKM/iGNd3EYD0D980LNZ9bniP5p3nKIjueI/2WgAb4EEtT/gehSuR+HKP7gehetRuOI/1sVtNIC34j/0bFZ9rrbiP1IFo5I6Adk/xhcmUwWjgj8SFD/G3LXiP45TdCSX/9g/GeJYF7fRsD/KoUW28/3YP9nO91Pjpbs/MLsnDwu14j+OdXEbDeDRPwbwFkhQ/Ng/YKHWNO84zT9OYhBYObTiP6FFtvP91Lg/bAn5oGez4j9CPujZrPrYP/AWSFD8GMM/irDh6ZWy4j+oV8oyxLHiP8b+snvysOI/xLEubqMB0D/jpZvEILDiPwFNhA1Pr+I/H/RsVn2u4j8GBFYOLbKNP57Nqs/VVtQ/PZtVn6ut4j9wEoPAyqHFP1tCPujZrOI/eOkmMQis4j+WkA96NqviP7Q3+MJkquI/ysNCrWne0T/S3uALk6niP/CFyVTBqOI/Di2yne+n4j/0l92Th4XCP5Bc/kP67cM/LNSa5h2n4j8xgLdAguK3P0p7gy9MpuI/Ibn8h/Tbtz8AAAAAAADQPwYSFD/G3NE/7FG4HoXrwT9+jLlrCfnYP2gibHh6peI/bDSAt0CCwj+GyVTBqKTiP8nDQq1p3rE/pHA9Ctej4j/aG3xhMlXUP8IXJlMFo+I/4L4OnDOi4j/+ZffkYaHiP7raiv1l99g/Sbbz/dR4uT/YPXlYqDXNP/YoXI/C9dg/QmDl0CLb0T9+rrZif9nRP+TQItv5fsI/HA3gLZCg4j85tMh2vp/iP1dbsb/snuI/FmpN845T1D8I+aBns+rDPzJ3LSEf9Ng/dQKaCBue4j8Emggbnl7JP5OpglFJneI/uPyH9NvX0T9SuB6F61HUP7FQa5p3nOI/yQc9m1Wfuz/O91PjpZviP+nAOSNKe7M/7J48LNSa4j/0SlmGONbRP/Gnxks3ibE/eOkmMQisxD/kriXkg57FP1EnoImw4bk/CkYldQKa4j94nKIjufzPP0RHcvkP6cc/XG3F/rJ7wj94Nqs+V1vJP9QJaCJseMI/KO0NvjCZ4j9GlPYGX5jiP2Q730+Nl+I/MJkqGJXU0T9uxf6ye/LYP2zn+6nx0tE/jgbwFkhQ1D+oNc07TtHRP1gXt9EA3so/guLHmLuW4j+gibDh6ZXiP74wmSoYleI/5IOezarP0T/wOEVHcvnPP9zXgXNGlOI/+n5qvHST4j+oE9BE2PDYP+RhodY079g/UNobfGEyzT/KVMGopE7UP2jV52or9s8/4HGKjuTyzz9SwaikTkCjPxgmUwWjkuI/ILByaJHt2D82zTtO0ZHiP1z+Q/rt69g/VHQkl/+Q4j+YTBWMSurYP3IbDeAtkOI/kML1KFyP4j/Idr6fGi/NP61p3nGKjuI/4kgu/yH9pj9MpgpGJXXCP9Sa5h2n6Ng/VA4tsp3vzz/LEMe6uI3iP+m3rwPnjOI/B1+YTBWM4j8lBoGVQ4viP0Ktad5xiuI/EOm3rwPn2D9gVFInoIniP377OnDOiOI/QBNhw9MrzT+coiO5/IfiP7ivA+eMKM0/INJvXwfO0T9MN4lBYOXYP7pJDAIrh+I/2PD0SlmG4j9cIEHxY8zRP/aX3ZOHheI/FD/G3LWE4j8y5q4l5IPiP8yqz9VW7M8/UI2XbhKD4j9uNIC3QILiP4zbaABvgeI/qoJRSZ2A4j+IhVrTvOPYP8gpOpLLf+I/5tAi2/l+4j8DeAskKH7iPwajkjoBTdQ/IR/0bFZ94j9A8WPMXUvUP0bmriXkg44/P8bctYR84j/E0ytlGeLYP1xLyAc9m8U//iH99nXg2D86cM6I0t7YP/CFyVTBqMQ/fD81XrpJ1D9dbcX+snviP3sUrkfheuI/mLuWkA964j+2Yn/ZPXniP7iNBvAWSNQ/9NvXgXNG1D/UCWgibHjiP5huEoPAytE/8rBQa5p34j8QWDm0yHbiP2zF/rJ78sA/Lv8h/fZ14j9MpgpGJXXiP3a+nxov3dg/sgxxrIvb2D8wKqkT0ETUP+5aQj7o2dg/1LzjFB3J0T85tMh2vp+6P2pN845TdOI/iPTb14Fz4j/Qs1n1udrKP2x4eqUsQ9Q/qMZLN4lB1D+mm8QgsHLiP8RCrWneceI/5BQdyeU/1D/i6ZWyDHHiPwCRfvs6cOI/8NJNYhBYyT8eOGdEaW/iPyqpE9BE2Ng/PN9PjZdu4j9m9+RhodbYP1mGONbFbeI/dy0hH/Rs4j+V1AloImziP2gibHh6pcQ/s3vysFBr4j/RItv5fmriP+C+DpwzosQ/7snDQq1p4j+pz9VW7C+7P2hv8IXJVMk/okW28/3U2D+CWtO84xStPwxxrIvbaOI/3pOHhVrT2D8gY+5aQj7UPyoYldQJaOI/SL99HThn4j9mZmZmZmbiP4QNT6+UZeI/Dgu1pnnH0T/5udqK/WW3PzBMpgpGJc0/If32deCcsT+itDf4wmTiP0pZhjjWxdE/hqdXyjLE0T/AWyBB8WPiP94CCYofY+I/REdy+Q/pzz9csb/snjzUP/yp8dJNYuI/GlHaG3xh4j84+MJkqmDiP1afq63YX+I/dEaU9gZf4j+NZ7Pqc7V1PxriWBe30dg/lv+Qfvs61D+S7Xw/NV7iP0ObVZ+rrZg/r5RliGNd4j90ApoIG57GP807TtGRXOI/6+I2GsBb4j8Jih9j7lriPwaxUGuad4w/VDAqqRPQ2D8nMQisHFriP+yePCzUmsY/RNjw9EpZ4j+Qfvs6cM7YP8K6uI0G8KY/Yn/ZPXlY4j+AJsKGp1fiP57Nqs/VVuI/vHSTGARW4j/C9Shcj8LRP9obfGEyVeI/+MJkqmBU4j8Wak3zjlPiPzQRNjy9UuI/ZDvfT42Xxj/5OnDOiNK+P1K4HoXrUeI/xEKtad5xwj9wXwfOGVHiP44G8BZIUOI/rK3YX3ZP4j/sDb4wmSrAP8pUwaikTuI/6Pup8dJN4j/STWIQWDnUPwWjkjoBTeI/OTy9UpYhvj8jSnuDL0ziP0HxY8xdS+I/zMzMzMzM2D9fmEwVjEriP30/NV66SeI/1OdqK/aXxT+a5h2n6EjiP7iNBvAWSOI/gJVDi2znwz/WNO84RUfiP/Tb14FzRuI/EoPAyqFF4j8CzhlR2husPzAqqRPQROI/TtGRXP5D4j9seHqlLEPiPzzfT42XbsI/ih9j7lpC4j+oxks3iUHiP8ZtNIC3QOI/xl1LyAc9iz/kFB3J5T/iP0yEDU+vlMU/ArwFEhQ/4j9YW7G/7J7EPyBj7lpCPuI/PgrXo3A94j9bsb/snjziP3lYqDXNO+I/vOMUHcnlxz/EILByaJHFP5f/kH77OuI/taZ5xyk64j/kYaHWNO/AP9NNYhBYOeI/8PRKWYY44j8OnDOitDfiPyxDHOviNuI/SuoENBE24j+84xQdyeXPP2iR7Xw/NeI/hjjWxW004j+jTkATYcOTP6Tfvg6cM+I/woanV8oy4j80gLdAguLHP+AtkKD4MeI//kP67evA0T/+1HjpJjHiPzqSy39Iv9E/HHxhMlUw4j8IG55eKcvYP3ngnBGlvbE/OiNKe4Mv4j9YyjLEsS7iP3ZxGw3gLeI/DpwzorQ31D80gLdAguLPP5QYBFYOLeI/wicPC7WmqT+yv+yePCziP0Rpb/CFydg/gLdAguLH2D9K6gQ0ETbUP1KvlGWIY60/M26jAbwFUj+sHFpkO9/HP89m1edqK+I/duCcEaW90T+sHFpkO9/PP+0NvjCZKuI/si5uowG80T8LtaZ5xyniPylcj8L1KOI/kjF3LSEfpD8kufyH9NvHPxmq8dJNYmA/RwN4CyQo4j8pdQKaCBu+P2SqYFRSJ+I/glFJnYAm4j+g+DHmriXiP1KoNc07TqE/vp8aL90k4j/cRgN4CyTiP2SqYFRSJ8A/hjjWxW001D9B+u3rwDmzP/lKWYY41rU/+u3rwDkj4j+8BRIUP8bYPxiV1AloIuI/Sb99HThntD82PL1SliHiP8KGp1fKMtQ/VOOlm8Qg4j8kufyH9NvPP3KKjuTyH+I/+FPjpZvE2D/ufD81XrrRPzSitDf4wtg/xpwRpb3Bhz9w8IXJVMHYP/7UeOkmMdQ/kDF3LSEf4j+u2F92Tx7iP5xVn6ut2M8/zH9Iv30d4j/qJjEIrBziPwjOGVHaG+I/JXUCmggb4j86I0p7gy/UP0Mc6+I2GuI/YcPTK2UZ4j8U8kHPZtXPP4yO5PIf0s8/f2q8dJMY4j/h4AuTqYKxP50Rpb3BF+I/uriNBvAW4j/Q91PjpZvEP9hfdk8eFuI/9gZfmEwV4j8UrkfhehTiP3ZxGw3gLdQ/sr/snjws1D8yVTAqqRPiP42WIY51cXs/7A2+MJkq1D+o6Egu/yHNP1D8GHPXEuI/rD5XW7G/2D9uowG8BRLiP+aMKO0Nvtg/Itv5fmq82D8oXI/C9SjUP4xK6gQ0EeI/SFD8GHPXyj9S46WbxCCgP6rx0k1iEOI/2cVtNIC3sD/ImLuWkA/iP+Y/pN++DuI/ACuHFtnOzz+0e/KwUGvCP5kIG55eKbs/BOeMKO0N4j8ijnVxGw3iP14pyxDHutg/QDVeukkM4j+cVZ+rrdjHP2SqYFRSJ9Q/oPgx5q4l1D9ShjjWxW2kP17cRgN4C+I/e4MvTKYK4j+ZKhiV1AniP7fRAN4CCeI/1XjpJjEI4j/zH9JvXwfiPzy9UpYhjsU/eMcpOpLLzz/hLZCg+DG2P+ALk6mCUck/EMe6uI0G4j8ubqMBvAXiP0wVjErqBOI/8GPMXUvIzz+ad5yiI7nYP2q8dJMYBOI/4U+Nl24Ssz+iLEMc6+KmP4hjXdxGA+I/pgpGJXUC4j/EsS5uowHiP+JYF7fRAOI/1sVtNIC32D8SJlMFo5KqP1ioNc07Tsk/AAAAAAAA4j8qyxDHurjRPxIUP8bctdg/ZBniWBe30T9OYhBYObTYPx6n6Egu/+E/PE7RkVz+4T9a9bnaiv3hP3icoiO5/OE/irDh6ZWy2D8ghetRuB7NPywYldQJaMI/lkOLbOf74T/G/rJ78rDYP7n8h/Tb17E/GfYGX5hMZT8ZHcnlP6S/P7Tqc7UV++E/3EYDeAsk1D/RkVz+Q/rhP+lztRX7y74/GJXUCWgi1D/vOEVHcvnhPw3gLZCg+OE/K4cW2c734T9JLv8h/fbhP1TjpZvEINQ/ZtXnaiv24T8U8kHPZtXHP4R80LNZ9eE/oiO5/If04T/AyqFFtvPhP9BE2PD0Ssk/3nGKjuTy4T/8GHPXEvLhPxrAWyBB8eE/kDF3LSEf1D84Z0Rpb/DhP8x/SL99HdQ/YbpJDAIrtz9oAG+BBMXPP1YOLbKd7+E/Ak2EDU+v2D90tRX7y+7hP5Jc/kP67eE/sAPnjCjt4T+gZ7Pqc7XRPwjOGVHaG9Q/PJtVn6ut2D/Oqs/VVuzhP4GezarP1bY/jI7k8h/Sxz/sUbgehevhPwr5oGez6uE/J6CJsOHp4T9FR3L5D+nhP2PuWkI+6OE/gZVDi2zn4T+fPCzUmubhP7zjFB3J5eE/2or9Zffk4T946SYxCKzYP/gx5q4l5OE/g9CzWfW5mj/BILByaJG9P2TuWkI+6ME/MTMzMzMzsz8W2c73U+PhP9zXgXNGlMY/NIC3QILi4T/ctYR80LPRP1InoImw4eE/oLQ3+MJkwj9wzojS3uDhPxhR2ht8YcI/jnVxGw3g4T+sHFpkO9/hP8rDQq1p3uE/4JwRpb3Bzz/oaiv2l93hPwYSFD/G3OE/JLn8h/Tb4T9CYOXQItvhPxgEVg4tstE/aLPqc7UVwz9gB84ZUdrhP7lAguLHmLs/fa62Yn/Z4T+bVZ+rrdjhP7n8h/Tb1+E/16NwPQrX4T9UUiegibDRP7Q3+MJkqtg/9UpZhjjW4T8S8kHPZtXhPzCZKhiV1OE/TkATYcPT4T9xowG8BRK0P2zn+6nx0uE/io7k8h/S4T+oNc07TtHhP8bctYR80OE/IyqpE9BEmD/kg57Nqs/hPwIrhxbZzuE/XP5D+u3rwD/whclUwajYPyDSb18HzuE/PnlYqDXN4T/inBGlvcGnP1wgQfFjzOE/LNSa5h2n2D9oImx4eqXYP3rHKTqSy+E/RrTIdr6fij+YbhKDwMrhP6RwPQrXo9g/thX7y+7J4T9I4XoUrkfJPwArhxbZzsc/1LzjFB3J4T/xY8xdS8jhPw8LtaZ5x+E/LbKd76fG4T/AfR04Z0TJP4KezarP1aY/S1mGONbF4T9pAG+BBMXhP4anV8oyxOE/pE5AE2HD4T/SO07RkVyuP8L1KFyPwuE/eMcpOpLLxz/gnBGlvcHhP1g5tMh2vs8/SJT2Bl+YxD/+Q/rt68DhPxzr4jYawOE/OpLLf0i/4T9YObTIdr7hP3bgnBGlveE/lIeFWtO84T/gvg6cM6LYP+BPjZduEsM/si5uowG84T/Q1VbsL7vhP5QhjnVxG80/7nw/NV664T8MJCh+jLnhP0Ic6+I2GtQ/KssQx7q44T9HcvkP6bfhP2UZ4lgXt+E/g8DKoUW24T/A7J48LNTKP6Fns+pzteE/YrPqc7UVqz+/DpwzorThP9y1hHzQs+E/+lxtxf6y4T8YBFYOLbLhP2OoNc07TpE/Nqs+V1ux4T9UUiegibDhP3L5D+m3r+E/yaFFtvP9tD/ZrPpcbcW+P5Cg+DHmruE/HA3gLZCg2D+uR+F6FK7hP5Cg+DHmrtE/WFuxv+ye2D/M7snDQq3hP+qVsgxxrOE/CD2bVZ+r4T+SqYJRSZ3YPxl8YTJVMLo/0ETY8PRKwT9+arx0kxjUPwy+MJkqGM0/OBrAWyBByT8m5IOezarhP0Fg5dAi27k/RIts5/up4T9iMlUwKqnhP873U+Olm9g/YX/ZPXlYuD8KRiV1AprYP4DZPXlYqOE/nYAmwoan4T+6uI0G8BbUP/YGX5hMFdQ/RpT2Bl+Y2D+7Jw8LtabhP9nO91PjpeE/93XgnBGl4T/CDpwzorSnPxUdyeU/pOE/yf6ye/KwsD8R8kHPZtW3P0DG3LWEfMA/MsSxLm6j4T+EWtO84xTNP1BrmnecouE/guLHmLuW2D++MJkqGJXYP9Sa5h2n6MA/zO7Jw0Kt0T9uEoPAyqHhP/z2deCcEc0/jLlrCfmg4T/6fmq8dJPYP6pgVFInoOE/yAc9m1Wf4T+SsgxxrIurP+auJeSDnuE/BFYOLbKd4T8i/fZ14JzhP7RZ9bnaisU/sLZif9k9yT9ApN++DpzhP15LyAc9m+E/3EYDeAskwD82zTtO0ZHYP9DVVuwvu88/fPKwUGua4T+JQWDl0CK7P/BjzF1LyMc/Ke0NvjCZuj/DRNjw9EqZP5qZmZmZmeE/LPaX3ZOHxT8j/fZ14JyRP7hAguLHmOE/1udqK/aX4T/zjlN0JJfhPxE2PL1SluE/Ea5H4XoUvj+8MJkqGJXEPyRTBaOSOsk/YkvIBz2bpT84iUFg5dDKPy/dJAaBleE/dJMYBFYOzT9NhA1Pr5ThP2HcRgN4C7Q/ayv2l92T4T+I0t7gC5PhP6Z5xyk6kuE/xCCwcmiR4T/ix5i7lpDhPwBvgQTFj+E/HhZqTfOO4T8xdy0hH/S8P+wvuycPC80/MlUwKqkT1D88vVKWIY7hP3HXEvJBz7Y/nO+nxks3yT9Zsb/snjy8P0hy+Q/pt88/WmQ730+N4T9uowG8BRLUP6rx0k1iENQ/chsN4C2Q2D857zhFR3K5P3gLJCh+jOE/+DHmriXkwz+WsgxxrIvhP7RZ9bnaiuE/onecoiO5rD8Gf2q8dJOIP9IA3gIJiuE/8KfGSzeJ4T8OT6+UZYjhPyz2l92Th+E/CD2bVZ+r0T9BNV66SQyyP2TMXUvIB80/OfjCZKpgtD9JnYAmwobhP2dEaW/wheE/hetRuB6F4T+uad5xio7YP+JYF7fRAK4/o5I6AU2E4T+xN/jCZKqwP8E5I0p7g+E/3uALk6mC4T/8h/Tb14HhPxov3SQGgeE/3Ir9ZffkwT+wJeSDns3KP0w3iUFg5cA/ONbFbTSA4T9Wfa62Yn/hP8AOnDOitM8/3GgAb4EEzT90JJf/kH7hP+i3rwPnjNg/kst/SL994T+wcmiR7XzhPyQGgZVDi9g/zhlR2ht84T/swDkjSnvhP0SLbOf7qdE/CmgibHh64T8oDwu1pnnhP0a28/3UeOE/y0Ac6+I2Oj/mP6Tfvg7UP2Rd3EYDeOE/ggTFjzF34T+fq63YX3bhP2BUUiegidg/nKIjufyH2D9UBaOSOgHNP71SliGOdeE/zKFFtvP9zD/b+X5qvHThP2FUUiegibA/+aBns+pz4T8XSFD8GHPhPzTvOEVHcuE/UpYhjnVx4T9APujZrPrMP9jw9EpZhtg/cD0K16Nw4T8UP8bctYTYP47k8h/Sb+E/gNk9eVio0T9QjZduEoPYP6yL22gAb+E/yjLEsS5u4T9S845TdCSnP+jZrPpcbeE/BoGVQ4ts4T+M22gAb4HYPyQofoy5a+E/Qs9m1edq4T9gdk8eFmrhP8gpOpLLf9g/fh04Z0Rp4T+iPCzUmuatPyFseHqlLLM/nMQgsHJo4T+4Yn/ZPXnAP7jaiv1l98w/UbgehetRuD+kkjoBTYTFPwR4CyQoftg/umsJ+aBn4T/YEvJBz2bhP7onDwu1ptE/9rnaiv1l4T/Z+X5qvHSzPz7G3LWEfNg/Io51cRsN1D8TYcPTK2XhPzB3LSEf9Mw/XtxGA3gL1D8Zy39Iv31tPzEIrBxaZOE/T6+UZYhj4T9tVn2utmLhP4v9ZffkYeE/qKROQBNh4T/GSzeJQWDhP+TyH9JvX+E/ApoIG55e4T96FK5H4XrYPzirPldbsc8/IEHxY8xd4T8BVg4tsp2/Pz7o2az6XOE/XI/C9Shc4T96Nqs+V1vhP/Z14JwRpdE/mN2Th4Va4T+iTkATYcOjP5gqGJXUCdQ/toR80LNZ4T/UK2UZ4ljhP/LSTWIQWOE/EHo2qz5X4T8yxLEubqPRP6xH4XoUrs8/JOSDns2qzz8UjErqBDTJPyjChqdXyso/tmJ/2T152D8uIR/0bFbhPyGwcmiR7bw/TMgHPZtV4T/Sb18HzhmhP2lv8IXJVOE/8rBQa5p32D+HFtnO91PhP6W9wRcmU+E/UfOOU3Qktz/DZKpgVFLhPy7/If32ddg/1HjpJjEI1D8Qx7q4jQbUP+ELk6mCUeE/ak3zjlN02D/+snvysFDhP3DOiNLe4MM/HFpkO99P4T86AU2EDU/hP1ioNc07TuE/bhKDwMqh0T+mm8QgsHLYP3ZPHhZqTeE/2deBc0aUtj+U9gZfmEzhP+LplbIMcdg/Eem3rwPnvD+yne+nxkvhP6pgVFInoNE/HjhnRGlv2D9ahjjWxW3YP9BE2PD0SuE/lNQJaCJs2D+GKO0NvjCJP8TTK2UZ4sA/efKwUGuatz/u68A5I0rhP+LXgXNGlKY/DJOpglFJ4T+oE9BE2PDMPyo6kst/SOE/SOF6FK5H4T9miGNd3EbhP4wo7Q2+MMk/0CLb+X5q2D+GCkYldQKKPxmQMXctIW8/hC9MpgpG4T+i1jTvOEXhPwErhxbZzrc/g+kmMQisnD+/fR04Z0ThP90kBoGVQ+E/+8vuycNC4T8McayL22jYPxlz1xLyQeE/SL99HThn2D+EDU+vlGXYP0wVjErqBNQ/iGNd3EYD1D83GsBbIEHhP1TBqKROQOE/cmiR7Xw/4T9I4XoUrkfBP5APejarPuE/wFsgQfFj2D+Q7Xw/NV7CP662Yn/ZPeE/zF1LyAc94T8Dk6mCUUmdP8Nif9k9eZg/6gQ0ETY84T8IrBxaZDvhP+auJeSDntE//Knx0k1i2D8mUwWjkjrhPzj4wmSqYNg/Iv32deCc0T9E+u3rwDnhP8SxLm6jAdQ/nIAmwoanzz9iodY07zjhP4BIv30dOOE/nu+nxks34T+8lpAPejbhP9o9eVioNeE/dEaU9gZf2D9oAG+BBMXHPwHFjzF3LbE/+ORhodY04T+wlGWIY13YPyCwcmiR7cw/6uI2GsBb2D8VjErqBDThPzMzMzMzM+E/UdobfGEy4T/gnBGlvcHHPyYxCKwcWtg/AAAAAAAA1D9if9k9eVjYP2+BBMWPMeE/jSjtDb4w4T+cXinLEMfKP6rP1VbsL+E/yHa+nxov4T/mHafoSC7hP15LyAc9m9E/BMWPMXct4T+ezarP1VbYP1R0JJf/kMY/snvysFBrqj8ibHh6pSzhPzxO0ZFc/tM/QBNhw9Mr4T9eukkMAivhP9obfGEyVdg/WDm0yHa+xz8Wak3zjlPYP1K4HoXrUdg/fGEyVTAq4T+aCBueXinhP7ivA+eMKOE/jgbwFkhQ2D/WVuwvuyfhP/T91HjpJuE/EqW9wRcm4T8wTKYKRiXhP8pUwaikTtg/TvOOU3Qk4T9rmnecoiPhP4lBYOXQIuE/p+hILv8h4T/FjzF3LSHhP5hMFYxK6sw/qXnHKTqSuz/jNhrAWyDhP2M5tMh2vp8/mpmZmZmZ0T/W52or9pfRPwNNhA1Pr5Q/eJyiI7n80z8U+8vuycPKPwajkjoBTdg/EOm3rwPnzD9pGeJYF7exPwDeAgmKH+E/tOpztRX70z8ehetRuB7hP4iFWtO848w/FB3J5T+kzz9A8WPMXUvYP9DVVuwvu8c/fD81XrpJ2D+4jQbwFkjYPzws1JrmHeE/9NvXgXNG2D9a07zjFB3hPxwv3SQGgcU/VOOlm8QgwD8wKqkT0ETYPykxCKwcWrQ/0RlR2ht8sT94eqUsQxzhP/A4RUdy+dM/liGOdXEb4T+G9gZfmEyFP2x4eqUsQ9g/MW6jAbwFsj+0yHa+nxrhP9JvXwfOGeE/8BZIUPwY4T8OvjCZKhjhPyxlGeJYF+E/SgwCK4cW4T9os+pztRXhP4Za07zjFOE/qMZLN4lB2D+kAbwFEhThP8GopE5AE+E/30+Nl24S4T/99nXgnBHhPxueXinLEOE/hnh6pSxDjD9RjZduEoOwP4Zns+pztYU/zBDHuriNxj85RUdy+Q/hP+QUHcnlP9g/AeeMKO0Nvj9W7C+7Jw/hPyBj7lpCPtg/dJMYBFYO4T+SOgFNhA3hP7Dh6ZWyDOE/XLG/7J482D/OiNLe4AvhP+wvuycPC+E/lv+Qfvs62D8K16NwPQrhPxkyVTAqqWM/6dms+lxttT/STWIQWDnYPwEi/fZ14Lw/DpwzorQ32D8ofoy5awnhP0YldQKaCOE/ZMxdS8gH4T/oaiv2l93DPzxwzojS3sA/gnNGlPYG4T+gGi/dJAbhP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Application\",\"version\":\"2.3.2\"}};\n",
       "  var render_items = [{\"docid\":\"4b8d5f22-b6e2-4e64-8d3d-32277b578e7a\",\"root_ids\":[\"1106\"],\"roots\":{\"1106\":\"bce7de20-77e6-4167-934b-47262cc6f4a5\"}}];\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": "1106"
      }
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "p = iqplot.ecdf(\n",
    "    t_bt,\n",
    "    q='time of backtrack (s)',\n",
    "    complementary=True,\n",
    "    x_axis_type='log',    \n",
    "    y_axis_type='log'\n",
    ")\n",
    "\n",
    "# Line with slope -1/2 on a log-log plot\n",
    "p.line(\n",
    "    x=[1, 1e8],\n",
    "    y=[1, 1e-4],\n",
    "    color='orange',\n",
    "    line_width=2\n",
    ")\n",
    "\n",
    "bokeh.io.show(p)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Indeed, we see that the slope we got from Monte Carlo simulation matches what the theory predicts."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Computing environment"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "metadata": {
    "tags": [
     "hide-input"
    ]
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Python implementation: CPython\n",
      "Python version       : 3.8.10\n",
      "IPython version      : 7.22.0\n",
      "\n",
      "numpy     : 1.20.2\n",
      "scipy     : 1.6.2\n",
      "pandas    : 1.2.4\n",
      "numba     : 0.53.1\n",
      "tqdm      : 4.59.0\n",
      "bokeh     : 2.3.2\n",
      "iqplot    : 0.2.3\n",
      "jupyterlab: 3.0.14\n",
      "\n"
     ]
    }
   ],
   "source": [
    "%load_ext watermark\n",
    "%watermark -v -p numpy,scipy,pandas,numba,tqdm,bokeh,iqplot,jupyterlab"
   ]
  }
 ],
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  "anaconda-cloud": {},
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   "language": "python",
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    "version": 3
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   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython3",
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