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BANA4090_Week12_Lab11.html
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<title>Simple Exponential Smoothing in R</title>
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ul.outline li.folded:hover {
padding: 0 0 0 20px;
background: transparent url(data:image/gif;base64,R0lGODdhCQAJAKEDAAAAAAAA/8PD/////ywAAAAACQAJAAACFISPoiu2sZyCyoV7G3hxz850CFIAADs=) no-repeat 0px 0.5em;
}
a.titleslide { font-weight: bold; font-style: italic }
img.hidden { display: none; visibility: hidden }
div.initial_prompt { display: none; visibility: hidden }
div.slide {
visibility: visible;
position: inherit;
}
div.handout {
border-top-style: solid;
border-top-width: thin;
border-top-color: black;
}
@media screen {
.hidden { display: none; visibility: visible }
div.slide.hidden { display: block; visibility: visible }
div.handout.hidden { display: block; visibility: visible }
div.background { display: none; visibility: hidden }
body.single_slide div.initial_prompt { display: block; visibility: visible }
body.single_slide div.background { display: block; visibility: visible }
body.single_slide div.background.hidden { display: none; visibility: hidden }
body.single_slide .invisible { visibility: hidden }
body.single_slide .hidden { display: none; visibility: hidden }
body.single_slide div.slide { position: absolute }
body.single_slide div.handout { display: none; visibility: hidden }
}
@media print {
.hidden { display: block; visibility: visible }
div.slide pre { font-size: 60%; padding-left: 0.5em; }
div.toolbar { display: none; visibility: hidden; }
div.slidy_toc { display: none; visibility: hidden; }
div.background { display: none; visibility: hidden; }
div.slide { page-break-before: always }
div.slide.first-slide { page-break-before: avoid }
}
.jslider table {
margin-left: 0em;
margin-right: 0em;
}
table.dataTable, .shiny-datatable-output div {
font-size: 14pt;
}
.dataTables_info, .dataTables_paginate {
font-size: 19px;
}
pre.sourceCode, code.sourceCode {
font-size: 80%;
}
label, button, input, select, textarea {
font-size: 14pt;
}
ul.nav, ul.nav li {
list-style-type: none;
}
</style>
<script src="data:application/javascript;base64,/* slidy.js

   Copyright (c) 2005-2013 W3C (MIT, ERCIM, Keio), All Rights Reserved.
   W3C liability, trademark, document use and software licensing
   rules apply, see:

   http://www.w3.org/Consortium/Legal/copyright-documents
   http://www.w3.org/Consortium/Legal/copyright-software

   Defines single name "w3c_slidy" in global namespace
   Adds event handlers without trampling on any others
*/

// the slidy object implementation
var w3c_slidy = {
  // classify which kind of browser we're running under
  ns_pos: (typeof window.pageYOffset!='undefined'),
  khtml: ((navigator.userAgent).indexOf("KHTML") >= 0 ? true : false),
  opera: ((navigator.userAgent).indexOf("Opera") >= 0 ? true : false),
  ipad: ((navigator.userAgent).indexOf("iPad") >= 0 ? true : false),
  iphone: ((navigator.userAgent).indexOf("iPhone") >= 0 ? true : false),
  android: ((navigator.userAgent).indexOf("Android") >= 0 ? true : false),
  ie: (typeof document.all != "undefined" && !this.opera),
  ie6: (!this.ns_pos && navigator.userAgent.indexOf("MSIE 6") != -1),
  ie7: (!this.ns_pos && navigator.userAgent.indexOf("MSIE 7") != -1),
  ie8: (!this.ns_pos && navigator.userAgent.indexOf("MSIE 8") != -1),
  ie9: (!this.ns_pos && navigator.userAgent.indexOf("MSIE 9") != -1),

  // data for swipe and double tap detection on touch screens
  last_tap: 0,
  prev_tap: 0,
  start_x: 0,
  start_y: 0,
  delta_x: 0,
  delta_y: 0,

  // are we running as XHTML? (doesn't work on Opera)
  is_xhtml: /xml/.test(document.contentType),

  slide_number: 0, // integer slide count: 0, 1, 2, ...
  slide_number_element: null, // element containing slide number
  slides: [], // set to array of slide div's
  notes: [], // set to array of handout div's
  backgrounds: [], // set to array of background div's
  observers: [], // list of observer functions
  toolbar: null, // element containing toolbar
  title: null, // document title
  last_shown: null, // last incrementally shown item
  eos: null,  // span element for end of slide indicator
  toc: null, // table of contents
  outline: null, // outline element with the focus
  selected_text_len: 0, // length of drag selection on document
  view_all: 0,  // 1 to view all slides + handouts
  want_toolbar: true,  // user preference to show/hide toolbar
  mouse_click_enabled: true, // enables left click for next slide
  scroll_hack: 0, // IE work around for position: fixed
  disable_slide_click: false,  // used by clicked anchors

  lang: "en", // updated to language specified by html file

  help_anchor: null, // used for keyboard focus hack in showToolbar()
  help_page: "http://www.w3.org/Talks/Tools/Slidy2/help/help.html",
  help_text: "Navigate with mouse click, space bar, Cursor Left/Right, " +
             "or Pg Up and Pg Dn. Use S and B to change font size.",

  size_index: 0,
  size_adjustment: 0,
  sizes:  new Array("10pt", "12pt", "14pt", "16pt", "18pt", "20pt",
                    "22pt", "24pt", "26pt", "28pt", "30pt", "32pt"),

  // needed for efficient resizing
  last_width: 0,
  last_height: 0,


  // Needed for cross browser support for relative width/height on
  // object elements. The work around is to save width/height attributes
  // and then to recompute absolute width/height dimensions on resizing
   objects: [],

  // attach initialiation event handlers
  set_up: function () {
    var init = function() { w3c_slidy.init(); };
    if (typeof window.addEventListener != "undefined")
      window.addEventListener("load", init, false);
    else
      window.attachEvent("onload", init);
  },

  hide_slides: function () {
    if (document.body && !w3c_slidy.initialized)
      document.body.style.visibility = "hidden";
    else
      setTimeout(w3c_slidy.hide_slides, 50);
  },

  // hack to persuade IE to compute correct document height
  // as needed for simulating fixed positioning of toolbar
  ie_hack: function () {
    window.resizeBy(0,-1);
    window.resizeBy(0, 1);
  },

  init: function () {
    //alert("slidy starting test 10");
    document.body.style.visibility = "visible";
    this.init_localization();
    this.add_toolbar();
    this.wrap_implicit_slides();
    this.collect_slides();
    this.collect_notes();
    this.collect_backgrounds();
    this.objects = document.body.getElementsByTagName("object");
    this.patch_anchors();
    this.slide_number = this.find_slide_number(location.href);
    window.offscreenbuffering = true;
    this.size_adjustment = this.find_size_adjust();
    this.time_left = this.find_duration();
    this.hide_image_toolbar();  // suppress IE image toolbar popup
    this.init_outliner();  // activate fold/unfold support
    this.title = document.title;
    this.keyboardless = (this.ipad||this.iphone||this.android);

    if (this.keyboardless)
    {
      w3c_slidy.remove_class(w3c_slidy.toolbar, "hidden")
      this.want_toolbar = 0;
    }

    // work around for opera bug
    this.is_xhtml = (document.body.tagName == "BODY" ? false : true);

    if (this.slides.length > 0)
    {
      var slide = this.slides[this.slide_number];
   
      if (this.slide_number > 0)
      {
        this.set_visibility_all_incremental("visible");
        this.last_shown = this.previous_incremental_item(null);
        this.set_eos_status(true);
      }
      else
      {
        this.last_shown = null;
        this.set_visibility_all_incremental("hidden");
        this.set_eos_status(!this.next_incremental_item(this.last_shown));
      }

      this.set_location();
      this.add_class(this.slides[0], "first-slide");
      w3c_slidy.show_slide(slide);
    }

    this.toc = this.table_of_contents();

    this.add_initial_prompt();

    // bind event handlers without interfering with custom page scripts
    // Tap events behave too weirdly to support clicks reliably on
    // iPhone and iPad, so exclude these from click handler

    if (!this.keyboardless)
    {
      this.add_listener(document.body, "click", this.mouse_button_click);
      this.add_listener(document.body, "mousedown", this.mouse_button_down);
    }

    this.add_listener(document, "keydown", this.key_down);
    this.add_listener(document, "keypress", this.key_press);
    this.add_listener(window, "resize", this.resized);
    this.add_listener(window, "scroll", this.scrolled);
    this.add_listener(window, "unload", this.unloaded);

    this.add_listener(document, "gesturechange", function ()
    {
      return false;
    });

    this.attach_touch_handers(this.slides);

    // this seems to be a debugging hack
    //if (!document.body.onclick)
    //  document.body.onclick = function () { };

    this.single_slide_view();

    //this.set_location();

    this.resized();

    if (this.ie7)
      setTimeout(w3c_slidy.ie_hack, 100);

    this.show_toolbar();

    // for back button detection
    setInterval(function () { w3c_slidy.check_location(); }, 200);
    w3c_slidy.initialized = true;
  },

  // create div element with links to each slide
  table_of_contents: function () {
    var toc = this.create_element("div");
    this.add_class(toc, "slidy_toc hidden");
    //toc.setAttribute("tabindex", "0");

    var heading = this.create_element("div");
    this.add_class(heading, "toc-heading");
    heading.innerHTML = this.localize("Table of Contents");

    toc.appendChild(heading);
    var previous = null;

    for (var i = 0; i < this.slides.length; ++i)
    {
      var title = this.has_class(this.slides[i], "title");
      var num = document.createTextNode((i + 1) + ". ");

      toc.appendChild(num);

      var a = this.create_element("a");
      a.setAttribute("href", "#(" + (i+1) + ")");

      if (title)
        this.add_class(a, "titleslide");

      var name = document.createTextNode(this.slide_name(i));
      a.appendChild(name);
      a.onclick = w3c_slidy.toc_click;
      a.onkeydown = w3c_slidy.toc_key_down;
      a.previous = previous;

      if (previous)
        previous.next = a;

      toc.appendChild(a);

      if (i == 0)
        toc.first = a;

      if (i < this.slides.length - 1)
      {
        var br = this.create_element("br");
        toc.appendChild(br);
      }

      previous = a;
    }

    toc.focus = function () {
      if (this.first)
        this.first.focus();
    }

    toc.onmouseup = w3c_slidy.mouse_button_up;

    toc.onclick = function (e) {
      e||(e=window.event);

      if (w3c_slidy.selected_text_len <= 0)
         w3c_slidy.hide_table_of_contents(true);

      w3c_slidy.stop_propagation(e);
    
      if (e.cancel != undefined)
        e.cancel = true;
      
      if (e.returnValue != undefined)
        e.returnValue = false;
      
      return false;
    };

    document.body.insertBefore(toc, document.body.firstChild);
    return toc;
  },

  is_shown_toc: function () {
    return !w3c_slidy.has_class(w3c_slidy.toc, "hidden");
  },

  show_table_of_contents: function () {
    w3c_slidy.remove_class(w3c_slidy.toc, "hidden");
    var toc = w3c_slidy.toc;
    toc.focus();

    if (w3c_slidy.ie7 && w3c_slidy.slide_number == 0)
      setTimeout(w3c_slidy.ie_hack, 100);
  },

  hide_table_of_contents: function (focus) {
    w3c_slidy.add_class(w3c_slidy.toc, "hidden");

    if (focus && !w3c_slidy.opera &&
        !w3c_slidy.has_class(w3c_slidy.toc, "hidden"))
      w3c_slidy.set_focus();
  },

  toggle_table_of_contents: function () {
    if (w3c_slidy.is_shown_toc())
      w3c_slidy.hide_table_of_contents(true);
    else
      w3c_slidy.show_table_of_contents();
  },

  // called on clicking toc entry
  toc_click: function (e) {
    if (!e)
      e = window.event;

    var target = w3c_slidy.get_target(e);

    if (target && target.nodeType == 1)
    {
      var uri = target.getAttribute("href");

      if (uri)
      {
        //alert("going to " + uri);
        var slide = w3c_slidy.slides[w3c_slidy.slide_number];
        w3c_slidy.hide_slide(slide);
        w3c_slidy.slide_number = w3c_slidy.find_slide_number(uri);
        slide = w3c_slidy.slides[w3c_slidy.slide_number];
        w3c_slidy.last_shown = null;
        w3c_slidy.set_location();
        w3c_slidy.set_visibility_all_incremental("hidden");
        w3c_slidy.set_eos_status(!w3c_slidy.next_incremental_item(w3c_slidy.last_shown));
        w3c_slidy.show_slide(slide);
        //target.focus();

        try
        {
          if (!w3c_slidy.opera)
            w3c_slidy.set_focus();
        }
        catch (e)
        {
        }
      }
    }

    w3c_slidy.hide_table_of_contents(true);
    if (w3c_slidy.ie7) w3c_slidy.ie_hack();
    w3c_slidy.stop_propagation(e);
    return w3c_slidy.cancel(e);
  },

  // called onkeydown for toc entry
  toc_key_down: function (event) {
    var key;

    if (!event)
      var event = window.event;

    // kludge around NS/IE differences 
    if (window.event)
      key = window.event.keyCode;
    else if (event.which)
      key = event.which;
    else
      return true; // Yikes! unknown browser

    // ignore event if key value is zero
    // as for alt on Opera and Konqueror
    if (!key)
      return true;

    // check for concurrent control/command/alt key
    // but are these only present on mouse events?

    if (event.ctrlKey || event.altKey)
      return true;

    if (key == 13)
    {
      var uri = this.getAttribute("href");

      if (uri)
      {
        //alert("going to " + uri);
       var slide = w3c_slidy.slides[w3c_slidy.slide_number];
        w3c_slidy.hide_slide(slide);
        w3c_slidy.slide_number = w3c_slidy.find_slide_number(uri);
        slide = w3c_slidy.slides[w3c_slidy.slide_number];
        w3c_slidy.last_shown = null;
        w3c_slidy.set_location();
        w3c_slidy.set_visibility_all_incremental("hidden");
        w3c_slidy.set_eos_status(!w3c_slidy.next_incremental_item(w3c_slidy.last_shown));
        w3c_slidy.show_slide(slide);
        //target.focus();

        try
        {
          if (!w3c_slidy.opera)
            w3c_slidy.set_focus();
        }
        catch (e)
        {
        }
      }

      w3c_slidy.hide_table_of_contents(true);

      if (self.ie7)
       w3c_slidy.ie_hack();

      return w3c_slidy.cancel(event);
    }

    if (key == 40 && this.next)
    {
      this.next.focus();
      return w3c_slidy.cancel(event);
    }

    if (key == 38 && this.previous)
    {
      this.previous.focus();
      return w3c_slidy.cancel(event);
    }

    return true;
  },

  touchstart: function (e)
  {
    // a double touch often starts with a
    // single touch due to fingers touching
    // down at slightly different times
    // thus avoid calling preventDefault here
    this.prev_tap = this.last_tap;
    this.last_tap = (new Date).getTime();

    var tap_delay = this.last_tap - this.prev_tap;

    if (tap_delay <= 200)
    {
      // double tap
    }

    var touch = e.touches[0];

    this.pageX = touch.pageX;
    this.pageY = touch.pageY;
    this.screenX = touch.screenX;
    this.screenY = touch.screenY;
    this.clientX = touch.clientX;
    this.clientY = touch.clientY;

    this.delta_x = this.delta_y = 0;
  },

  touchmove: function (e)
  {
    // override native gestures for single touch
    if (e.touches.length > 1)
      return;

    e.preventDefault();
    var touch = e.touches[0];
    this.delta_x = touch.pageX - this.pageX;
    this.delta_y = touch.pageY - this.pageY;
  },

  touchend: function (e)
  {
    // default behavior for multi-touch
    if (e.touches.length > 1)
      return;

    var delay = (new Date).getTime() - this.last_tap;
    var dx = this.delta_x;
    var dy = this.delta_y;
    var abs_dx = Math.abs(dx);
    var abs_dy = Math.abs(dy);

    if (delay < 500 && (abs_dx > 100 || abs_dy > 100))
    {
      if (abs_dx > 0.5 * abs_dy)
      {
        e.preventDefault();

        if (dx < 0)
          w3c_slidy.next_slide(true);
        else
          w3c_slidy.previous_slide(true);
      }
      else if (abs_dy > 2 * abs_dx)
      {
        e.preventDefault();
        w3c_slidy.toggle_table_of_contents();
      }
    }
  },

  // ### OBSOLETE ###
  before_print: function () {
    this.show_all_slides();
    this.hide_toolbar();
    alert("before print");
  },

  // ### OBSOLETE ###
  after_print: function () {
    if (!this.view_all)
    {
      this.single_slide_view();
      this.show_toolbar();
    }
    alert("after print");
  },

  // ### OBSOLETE ###
  print_slides: function () {
    this.before_print();
    window.print();
    this.after_print();
  },

  // ### OBSOLETE ?? ###
  toggle_view: function () {
    if (this.view_all)
    {
      this.single_slide_view();
      this.show_toolbar();
      this.view_all = 0;
    }
    else
    {
      this.show_all_slides();
      this.hide_toolbar();
      this.view_all = 1;
    }
  },

  // prepare for printing  ### OBSOLETE ###
  show_all_slides: function () {
    this.remove_class(document.body, "single_slide");
    this.set_visibility_all_incremental("visible");
  },

  // restore after printing  ### OBSOLETE ###
  single_slide_view: function () {
    this.add_class(document.body, "single_slide");
    this.set_visibility_all_incremental("visible");
    this.last_shown = this.previous_incremental_item(null);
  },

  // suppress IE's image toolbar pop up
  hide_image_toolbar: function () {
    if (!this.ns_pos)
    {
      var images = document.getElementsByTagName("IMG");

      for (var i = 0; i < images.length; ++i)
        images[i].setAttribute("galleryimg", "no");
    }
  },

  unloaded: function (e) {
    //alert("unloaded");
  },

  // Safari and Konqueror don't yet support getComputedStyle()
  // and they always reload page when location.href is updated
  is_KHTML: function () {
    var agent = navigator.userAgent;
    return (agent.indexOf("KHTML") >= 0 ? true : false);
  },

  // find slide name from first h1 element
  // default to document title + slide number
  slide_name: function (index) {
    var name = null;
    var slide = this.slides[index];

    var heading = this.find_heading(slide);

    if (heading)
      name = this.extract_text(heading);

    if (!name)
      name = this.title + "(" + (index + 1) + ")";

    name.replace(/\&/g, "&amp;");
    name.replace(/\</g, "&lt;");
    name.replace(/\>/g, "&gt;");

    return name;
  },

  // find first h1 element in DOM tree
  find_heading: function (node) {
    if (!node || node.nodeType != 1)
      return null;

    if (node.nodeName == "H1" || node.nodeName == "h1")
      return node;

    var child = node.firstChild;

    while (child)
    {
      node = this.find_heading(child);

      if (node)
        return node;

      child = child.nextSibling;
    }

    return null;
  },

  // recursively extract text from DOM tree
  extract_text: function (node) {
    if (!node)
      return "";

    // text nodes
    if (node.nodeType == 3)
      return node.nodeValue;

    // elements
    if (node.nodeType == 1)
    {
      node = node.firstChild;
      var text = "";

      while (node)
      {
        text = text + this.extract_text(node);
        node = node.nextSibling;
      }

      return text;
    }

    return "";
  },

  // find copyright text from meta element
  find_copyright: function () {
    var name, content;
    var meta = document.getElementsByTagName("meta");

    for (var i = 0; i < meta.length; ++i)
    {
      name = meta[i].getAttribute("name");
      content = meta[i].getAttribute("content");

      if (name == "copyright")
        return content;
    }

    return null;
  },

  find_size_adjust: function () {
    var name, content, offset;
    var meta = document.getElementsByTagName("meta");

    for (var i = 0; i < meta.length; ++i)
    {
      name = meta[i].getAttribute("name");
      content = meta[i].getAttribute("content");

      if (name == "font-size-adjustment")
        return 1 * content;
    }

    return 1;
  },

  // <meta name="duration" content="20" />  for 20 minutes
  find_duration: function () {
    var name, content, offset;
    var meta = document.getElementsByTagName("meta");

    for (var i = 0; i < meta.length; ++i)
    {
      name = meta[i].getAttribute("name");
      content = meta[i].getAttribute("content");

      if (name == "duration")
        return 60000 * content;
    }

    return null;
  },

  replace_by_non_breaking_space: function (str) {
    for (var i = 0; i < str.length; ++i)
      str[i] = 160;
  },

  // ### CHECK ME ### is use of "li" okay for text/html?
  // for XHTML do we also need to specify namespace?
  init_outliner: function () {
    var items = document.getElementsByTagName("li");

    for (var i = 0; i < items.length; ++i)
    {
      var target = items[i];

      if (!this.has_class(target.parentNode, "outline"))
        continue;

      target.onclick = this.outline_click;
/* ### more work needed for IE6
      if (!this.ns_pos)
      {
        target.onmouseover = this.hover_outline;
        target.onmouseout = this.unhover_outline;
      }
*/
      if (this.foldable(target))
      {
        target.foldable = true;
        target.onfocus = function () {w3c_slidy.outline = this;};
        target.onblur = function () {w3c_slidy.outline = null;};

        if (!target.getAttribute("tabindex"))
          target.setAttribute("tabindex", "0");

        if (this.has_class(target, "expand"))
          this.unfold(target);
        else
          this.fold(target);
      }
      else
      {
        this.add_class(target, "nofold");
        target.visible = true;
        target.foldable = false;
      }
    }
  },

  foldable: function (item) {
    if (!item || item.nodeType != 1)
      return false;

    var node = item.firstChild;

    while (node)
    {
      if (node.nodeType == 1 && this.is_block(node))
        return true;

      node = node.nextSibling;
    }

    return false;
  },

  // ### CHECK ME ### switch to add/remove "hidden" class
  fold: function (item) {
    if (item)
    {
      this.remove_class(item, "unfolded");
      this.add_class(item, "folded");
    }

    var node = item ? item.firstChild : null;

    while (node)
    {
      if (node.nodeType == 1 && this.is_block(node)) // element
      {
         w3c_slidy.add_class(node, "hidden");
      }

      node = node.nextSibling;
    }

    item.visible = false;
  },

  // ### CHECK ME ### switch to add/remove "hidden" class
  unfold: function (item) {
    if (item)
    {
      this.add_class(item, "unfolded");
      this.remove_class(item, "folded");
    }

    var node = item ? item.firstChild : null;

    while (node)
    {
      if (node.nodeType == 1 && this.is_block(node)) // element
      {
        w3c_slidy.remove_class(node, "hidden");
      }

      node = node.nextSibling;
    }

    item.visible = true;
  },

  outline_click: function (e) {
    if (!e)
      e = window.event;

    var rightclick = false;
    var target = w3c_slidy.get_target(e);

    while (target && target.visible == undefined)
      target = target.parentNode;

    if (!target)
      return true;

    if (e.which)
      rightclick = (e.which == 3);
    else if (e.button)
      rightclick = (e.button == 2);

    if (!rightclick && target.visible != undefined)
    {
      if (target.foldable)
      {
        if (target.visible)
          w3c_slidy.fold(target);
        else
          w3c_slidy.unfold(target);
      }

      w3c_slidy.stop_propagation(e);
      e.cancel = true;
      e.returnValue = false;
    }

    return false;
  },

  add_initial_prompt: function () {
    var prompt = this.create_element("div");
    prompt.setAttribute("class", "initial_prompt");

    var p1 = this.create_element("p");
    prompt.appendChild(p1);
    p1.setAttribute("class", "help");

    if (this.keyboardless)
      p1.innerHTML = "swipe left to move to next slide";
    else
      p1.innerHTML = "Space, Right Arrow or swipe left to move to " +
                     "next slide, click help below for more details";

    this.add_listener(prompt, "click", function (e) {
      document.body.removeChild(prompt);
      w3c_slidy.stop_propagation(e);
    
      if (e.cancel != undefined)
        e.cancel = true;
      
      if (e.returnValue != undefined)
        e.returnValue = false;
      
      return false;
    });

    document.body.appendChild(prompt);
    this.initial_prompt = prompt;
    setTimeout(function() {document.body.removeChild(prompt);}, 5000);
  },

  add_toolbar: function () {
    var counter, page;

     this.toolbar = this.create_element("div");
     this.toolbar.setAttribute("class", "toolbar");

     // a reasonably behaved browser
     if (this.ns_pos || !this.ie6)
     {
       var right = this.create_element("div");
       right.setAttribute("style", "float: right; text-align: right");

       counter = this.create_element("span")
       counter.innerHTML = this.localize("slide") + " n/m";
       right.appendChild(counter);
       this.toolbar.appendChild(right);

       var left = this.create_element("div");
       left.setAttribute("style", "text-align: left");

       // global end of slide indicator
       this.eos = this.create_element("span");
       this.eos.innerHTML = "* ";
       left.appendChild(this.eos);

       var help = this.create_element("a");
       help.setAttribute("href", this.help_page);
       help.setAttribute("title", this.localize(this.help_text));
       help.innerHTML = this.localize("help?");
       left.appendChild(help);
       help.style.display="none"; 
       this.help_anchor = help;  // save for focus hack

       var gap1 = document.createTextNode(" ");
       left.appendChild(gap1);

       var contents = this.create_element("a");
       contents.setAttribute("href", "javascript:w3c_slidy.toggle_table_of_contents()");
       contents.setAttribute("title", this.localize("table of contents"));
       contents.innerHTML = this.localize("Contents");
       left.appendChild(contents);

       var gap2 = document.createTextNode(" ");
       left.appendChild(gap2);

       var copyright = this.find_copyright();

       if (copyright)
       {
         var span = this.create_element("span");
         span.className = "copyright";
         span.innerHTML = copyright;
         left.appendChild(span);
       }

       this.toolbar.setAttribute("tabindex", "0");
       this.toolbar.appendChild(left);
     }
     else // IE6 so need to work around its poor CSS support
     {
       this.toolbar.style.position = (this.ie7 ? "fixed" : "absolute");
       this.toolbar.style.zIndex = "200";
       this.toolbar.style.width = "99.9%";
       this.toolbar.style.height = "1.2em";
       this.toolbar.style.top = "auto";
       this.toolbar.style.bottom = "0";
       this.toolbar.style.left = "0";
       this.toolbar.style.right = "0";
       this.toolbar.style.textAlign = "left";
       this.toolbar.style.fontSize = "60%";
       this.toolbar.style.color = "red";
       this.toolbar.borderWidth = 0;
       this.toolbar.className = "toolbar";
       this.toolbar.style.background = "rgb(240,240,240)";

       // would like to have help text left aligned
       // and page counter right aligned, floating
       // div's don't work, so instead use nested
       // absolutely positioned div's.

       var sp = this.create_element("span");
       sp.innerHTML = "&nbsp;&nbsp;*&nbsp;";
       this.toolbar.appendChild(sp);
       this.eos = sp;  // end of slide indicator

       var help = this.create_element("a");
       help.setAttribute("href", this.help_page);
       help.setAttribute("title", this.localize(this.help_text));
       help.innerHTML = this.localize("help?");
       this.toolbar.appendChild(help);
       this.help_anchor = help;  // save for focus hack

       var gap1 = document.createTextNode(" ");
       this.toolbar.appendChild(gap1);

       var contents = this.create_element("a");
       contents.setAttribute("href", "javascript:toggleTableOfContents()");
       contents.setAttribute("title", this.localize("table of contents".localize));
       contents.innerHTML = this.localize("contents?");
       this.toolbar.appendChild(contents);

       var gap2 = document.createTextNode(" ");
       this.toolbar.appendChild(gap2);

       var copyright = this.find_copyright();

       if (copyright)
       {
         var span = this.create_element("span");
         span.innerHTML = copyright;
         span.style.color = "black";
         span.style.marginLeft = "0.5em";
         this.toolbar.appendChild(span);
       }

       counter = this.create_element("div")
       counter.style.position = "absolute";
       counter.style.width = "auto"; //"20%";
       counter.style.height = "1.2em";
       counter.style.top = "auto";
       counter.style.bottom = 0;
       counter.style.right = "0";
       counter.style.textAlign = "right";
       counter.style.color = "red";
       counter.style.background = "rgb(240,240,240)";

       counter.innerHTML = this.localize("slide") + " n/m";
       this.toolbar.appendChild(counter);
     }

     // ensure that click isn't passed through to the page
     this.toolbar.onclick =
         function (e) {
           if (!e)
             e = window.event;

           var target = e.target;

           if (!target && e.srcElement)
             target = e.srcElement;

           // work around Safari bug
           if (target && target.nodeType == 3)
             target = target.parentNode;

           w3c_slidy.stop_propagation(e);

           if (target && target.nodeName.toLowerCase() != "a")
             w3c_slidy.mouse_button_click(e);
         };

     this.slide_number_element = counter;
     this.set_eos_status(false);
     document.body.appendChild(this.toolbar);
  },

  // wysiwyg editors make it hard to use div elements
  // e.g. amaya loses the div when you copy and paste
  // this function wraps div elements around implicit
  // slides which start with an h1 element and continue
  // up to the next heading or div element
  wrap_implicit_slides: function () {
    var i, heading, node, next, div;
    var headings = document.getElementsByTagName("h1");

    if (!headings)
      return;

    for (i = 0; i < headings.length; ++i)
    {
      heading = headings[i];

      if (heading.parentNode != document.body)
        continue;

      node = heading.nextSibling;

      div = document.createElement("div");
      this.add_class(div, "slide");
      document.body.replaceChild(div, heading);
      div.appendChild(heading);

      while (node)
      {
        if (node.nodeType == 1) // an element
        {
           if (node.nodeName == "H1" || node.nodeName == "h1")
             break;

           if (node.nodeName == "DIV" || node.nodeName == "div")
           {
             if (this.has_class(node, "slide"))
               break;

             if (this.has_class(node, "handout"))
               break;
           }
        }

        next = node.nextSibling;
        node = document.body.removeChild(node);
        div.appendChild(node);
        node = next;
      } 
    }
  },

  attach_touch_handers: function(slides)
  {
    var i, slide;

    for (i = 0; i < slides.length; ++i)
    {
      slide = slides[i];
      this.add_listener(slide, "touchstart", this.touchstart);
      this.add_listener(slide, "touchmove", this.touchmove);
      this.add_listener(slide, "touchend", this.touchend);
    }
  },

// return new array of all slides
  collect_slides: function () {
    var slides = new Array();
    var divs = document.body.getElementsByTagName("div");

    for (var i = 0; i < divs.length; ++i)
    {
      div = divs.item(i);

      if (this.has_class(div, "slide"))
      {
        // add slide to collection
        slides[slides.length] = div;

        // hide each slide as it is found
        this.add_class(div, "hidden");

        // add dummy <br/> at end for scrolling hack
        var node1 = document.createElement("br");
        div.appendChild(node1);
        var node2 = document.createElement("br");
        div.appendChild(node2);
      }
      else if (this.has_class(div, "background"))
      {  // work around for Firefox SVG reload bug
        // which otherwise replaces 1st SVG graphic with 2nd
        div.style.display = "block";
      }
    }

    this.slides = slides;
  },

  // return new array of all <div class="handout">
  collect_notes: function () {
    var notes = new Array();
    var divs = document.body.getElementsByTagName("div");

    for (var i = 0; i < divs.length; ++i)
    {
      div = divs.item(i);

      if (this.has_class(div, "handout"))
      {
        // add note to collection
        notes[notes.length] = div;

        // and hide it
        this.add_class(div, "hidden");
      }
    }

    this.notes = notes;
  },

  // return new array of all <div class="background">
  // including named backgrounds e.g. class="background titlepage"
  collect_backgrounds: function () {
    var backgrounds = new Array();
    var divs = document.body.getElementsByTagName("div");

    for (var i = 0; i < divs.length; ++i)
    {
      div = divs.item(i);

      if (this.has_class(div, "background"))
      {
        // add background to collection
        backgrounds[backgrounds.length] = div;

        // and hide it
        this.add_class(div, "hidden");
      }
    }

    this.backgrounds = backgrounds;
  },

  // set click handlers on all anchors
  patch_anchors: function () {
    var self = w3c_slidy;
    var handler = function (event) {
      // compare this.href with location.href
      // for link to another slide in this doc

      if (self.page_address(this.href) == self.page_address(location.href))
      {
        // yes, so find new slide number
        var newslidenum = self.find_slide_number(this.href);

        if (newslidenum != self.slide_number)
        {
          var slide = self.slides[self.slide_number];
          self.hide_slide(slide);
          self.slide_number = newslidenum;
          slide = self.slides[self.slide_number];
          self.show_slide(slide);
          self.set_location();
        }
      }
      else
        w3c_slidy.stop_propagation(event);

//      else if (this.target == null)
//        location.href = this.href;

      this.blur();
      self.disable_slide_click = true;
    };

    var anchors = document.body.getElementsByTagName("a");

    for (var i = 0; i < anchors.length; ++i)
    {
      if (window.addEventListener)
        anchors[i].addEventListener("click", handler, false);
      else
        anchors[i].attachEvent("onclick", handler);
    }
  },

  // ### CHECK ME ### see which functions are invoked via setTimeout
  // either directly or indirectly for use of w3c_slidy vs this
  show_slide_number: function () {
    var timer = w3c_slidy.get_timer();
    w3c_slidy.slide_number_element.innerHTML = timer + w3c_slidy.localize("slide") + " " +
           (w3c_slidy.slide_number + 1) + "/" + w3c_slidy.slides.length;
  },

  // every 200mS check if the location has been changed as a
  // result of the user activating the Back button/menu item
  // doesn't work for Opera < 9.5
  check_location: function () {
    var hash = location.hash;

    if (w3c_slidy.slide_number > 0 && (hash == "" || hash == "#"))
      w3c_slidy.goto_slide(0);
    else if (hash.length > 2 && hash != "#("+(w3c_slidy.slide_number+1)+")")
    {
      var num = parseInt(location.hash.substr(2));

      if (!isNaN(num))
        w3c_slidy.goto_slide(num-1);
    }

    if (w3c_slidy.time_left && w3c_slidy.slide_number > 0)
    {
      w3c_slidy.show_slide_number();

      if (w3c_slidy.time_left > 0)
        w3c_slidy.time_left -= 200;
    } 
  },

  get_timer: function () {
    var timer = "";
    if (w3c_slidy.time_left)
    {
      var mins, secs;
      secs = Math.floor(w3c_slidy.time_left/1000);
      mins = Math.floor(secs / 60);
      secs = secs % 60;
      timer = (mins ? mins+"m" : "") + secs + "s ";
    }

    return timer;
  },

  // this doesn't push location onto history stack for IE
  // for which a hidden iframe hack is needed: load page into
  // the iframe with script that set's parent's location.hash
  // but that won't work for standalone use unless we can
  // create the page dynamically via a javascript: URL
  // ### use history.pushState if available
  set_location: function () {
     var uri = w3c_slidy.page_address(location.href);
     var hash = "#(" + (w3c_slidy.slide_number+1) + ")";

     if (w3c_slidy.slide_number >= 0)
       uri = uri + hash;

     if (typeof(history.pushState) != "undefined" && location.protocol !== "file:")
     {
       document.title = w3c_slidy.title + " (" + (w3c_slidy.slide_number+1) + ")";
       history.pushState(0, document.title, hash);
       w3c_slidy.show_slide_number();
       w3c_slidy.notify_observers();
       return;
     }

     if (w3c_slidy.ie && (w3c_slidy.ie6 || w3c_slidy.ie7))
       w3c_slidy.push_hash(hash);

     if (uri != location.href) // && !khtml
        location.href = uri;

     if (this.khtml)
        hash = "(" + (w3c_slidy.slide_number+1) + ")";

     if (!this.ie && location.hash != hash && location.hash != "")
       location.hash = hash;

     document.title = w3c_slidy.title + " (" + (w3c_slidy.slide_number+1) + ")";
     w3c_slidy.show_slide_number();
     w3c_slidy.notify_observers();
  },

  notify_observers: function ()
  {
    var slide = this.slides[this.slide_number];

    for (var i = 0; i < this.observers.length; ++i)
      this.observers[i](this.slide_number+1, this.find_heading(slide).innerText, location.href);
  },

  add_observer: function (observer)
  {
    for (var i = 0; i < this.observers.length; ++i)
    {
      if (observer == this.observers[i])
        return;
    }

    this.observers.push(observer);
  },

  remove_observer: function (o)
  {
    for (var i = 0; i < this.observers.length; ++i)
    {
      if (observer == this.observers[i])
      {
        this.observers.splice(i,1);
        break;
      }
    }
  },

  page_address: function (uri) {
    var i = uri.indexOf("#");

    if (i < 0)
      i = uri.indexOf("%23");

    // check if anchor is entire page

    if (i < 0)
      return uri;  // yes

    return uri.substr(0, i);
  },

  // only used for IE6 and IE7
  on_frame_loaded: function (hash) {
    location.hash = hash;
    var uri = w3c_slidy.page_address(location.href);
    location.href = uri + hash;
  },

  // history hack with thanks to Bertrand Le Roy
  push_hash: function (hash) {
    if (hash == "") hash = "#(1)";
      window.location.hash = hash;

    var doc = document.getElementById("historyFrame").contentWindow.document;
    doc.open("javascript:'<html></html>'");
    doc.write("<html><head><script type=\"text/javascript\">window.parent.w3c_slidy.on_frame_loaded('"+
      (hash) + "');</script></head><body>hello mum</body></html>");
      doc.close();
  },

  // find current slide based upon location
  // first find target anchor and then look
  // for associated div element enclosing it
  // finally map that to slide number
  find_slide_number: function (uri) {
    // first get anchor from page location

    var i = uri.indexOf("#");

    // check if anchor is entire page
    if (i < 0)
      return 0;  // yes

    var anchor = unescape(uri.substr(i+1));

    // now use anchor as XML ID to find target
    var target = document.getElementById(anchor);

    if (!target)
    {
      // does anchor look like "(2)" for slide 2 ??
      // where first slide is (1)
      var re = /\((\d)+\)/;

      if (anchor.match(re))
      {
        var num = parseInt(anchor.substring(1, anchor.length-1));

        if (num > this.slides.length)
          num = 1;

        if (--num < 0)
          num = 0;

        return num;
      }

      // accept [2] for backwards compatibility
      re = /\[(\d)+\]/;

      if (anchor.match(re))
      {
         var num = parseInt(anchor.substring(1, anchor.length-1));

         if (num > this.slides.length)
            num = 1;

         if (--num < 0)
            num = 0;

         return num;
      }

      // oh dear unknown anchor
      return 0;
    }

    // search for enclosing slide

    while (true)
    {
      // browser coerces html elements to uppercase!
      if (target.nodeName.toLowerCase() == "div" &&
            this.has_class(target, "slide"))
      {
        // found the slide element
        break;
      }

      // otherwise try parent element if any

      target = target.parentNode;

      if (!target)
      {
        return 0;   // no luck!
      }
    };

    for (i = 0; i < slides.length; ++i)
    {
      if (slides[i] == target)
        return i;  // success
    }

    // oh dear still no luck
    return 0;
  },

  previous_slide: function (incremental) {
    if (!w3c_slidy.view_all)
    {
      var slide;

      if ((incremental || w3c_slidy.slide_number == 0) && w3c_slidy.last_shown != null)
      {
        w3c_slidy.last_shown = w3c_slidy.hide_previous_item(w3c_slidy.last_shown);
        w3c_slidy.set_eos_status(false);
      }
      else if (w3c_slidy.slide_number > 0)
      {
        slide = w3c_slidy.slides[w3c_slidy.slide_number];
        w3c_slidy.hide_slide(slide);

        w3c_slidy.slide_number = w3c_slidy.slide_number - 1;
        slide = w3c_slidy.slides[w3c_slidy.slide_number];
        w3c_slidy.set_visibility_all_incremental("visible");
        w3c_slidy.last_shown = w3c_slidy.previous_incremental_item(null);
        w3c_slidy.set_eos_status(true);
        w3c_slidy.show_slide(slide);
      }

      w3c_slidy.set_location();

      if (!w3c_slidy.ns_pos)
        w3c_slidy.refresh_toolbar(200);
    }
  },

  next_slide: function (incremental) {
    if (!w3c_slidy.view_all)
    {
      var slide, last = w3c_slidy.last_shown;

      if (incremental || w3c_slidy.slide_number == w3c_slidy.slides.length - 1)
         w3c_slidy.last_shown = w3c_slidy.reveal_next_item(w3c_slidy.last_shown);

      if ((!incremental || w3c_slidy.last_shown == null) &&
             w3c_slidy.slide_number < w3c_slidy.slides.length - 1)
      {
         slide = w3c_slidy.slides[w3c_slidy.slide_number];
         w3c_slidy.hide_slide(slide);

         w3c_slidy.slide_number = w3c_slidy.slide_number + 1;
         slide = w3c_slidy.slides[w3c_slidy.slide_number];
         w3c_slidy.last_shown = null;
         w3c_slidy.set_visibility_all_incremental("hidden");
         w3c_slidy.show_slide(slide);
      }
      else if (!w3c_slidy.last_shown)
      {
         if (last && incremental)
           w3c_slidy.last_shown = last;
      }

      w3c_slidy.set_location();

      w3c_slidy.set_eos_status(!w3c_slidy.next_incremental_item(w3c_slidy.last_shown));

      if (!w3c_slidy.ns_pos)
         w3c_slidy.refresh_toolbar(200);
     }
  },

  // to first slide with nothing revealed
  // i.e. state at start of presentation
  first_slide: function () {
     if (!w3c_slidy.view_all)
     {
       var slide;

       if (w3c_slidy.slide_number != 0)
       {
         slide = w3c_slidy.slides[w3c_slidy.slide_number];
         w3c_slidy.hide_slide(slide);

         w3c_slidy.slide_number = 0;
         slide = w3c_slidy.slides[w3c_slidy.slide_number];
         w3c_slidy.last_shown = null;
         w3c_slidy.set_visibility_all_incremental("hidden");
         w3c_slidy.show_slide(slide);
       }

       w3c_slidy.set_eos_status(
         !w3c_slidy.next_incremental_item(w3c_slidy.last_shown));
       w3c_slidy.set_location();
     }
  },

  // goto last slide with everything revealed
  // i.e. state at end of presentation
  last_slide: function () {
    if (!w3c_slidy.view_all)
    {
      var slide;

      w3c_slidy.last_shown = null; //revealNextItem(lastShown);

      if (w3c_slidy.last_shown == null &&
          w3c_slidy.slide_number < w3c_slidy.slides.length - 1)
      {
         slide = w3c_slidy.slides[w3c_slidy.slide_number];
         w3c_slidy.hide_slide(slide);
         w3c_slidy.slide_number = w3c_slidy.slides.length - 1;
         slide = w3c_slidy.slides[w3c_slidy.slide_number];
         w3c_slidy.set_visibility_all_incremental("visible");
         w3c_slidy.last_shown = w3c_slidy.previous_incremental_item(null);

         w3c_slidy.show_slide(slide);
      }
      else
      {
         w3c_slidy.set_visibility_all_incremental("visible");
         w3c_slidy.last_shown = w3c_slidy.previous_incremental_item(null);
      }

      w3c_slidy.set_eos_status(true);
      w3c_slidy.set_location();
    }
  },


  // ### check this and consider add/remove class
  set_eos_status: function (state) {
    if (this.eos)
      this.eos.style.color = (state ? "rgb(240,240,240)" : "red");
  },

  // first slide is 0
  goto_slide: function (num) {
    //alert("going to slide " + (num+1));
    var slide = w3c_slidy.slides[w3c_slidy.slide_number];
    w3c_slidy.hide_slide(slide);
    w3c_slidy.slide_number = num;
    slide = w3c_slidy.slides[w3c_slidy.slide_number];
    w3c_slidy.last_shown = null;
    w3c_slidy.set_visibility_all_incremental("hidden");
    w3c_slidy.set_eos_status(!w3c_slidy.next_incremental_item(w3c_slidy.last_shown));
    document.title = w3c_slidy.title + " (" + (w3c_slidy.slide_number+1) + ")";
    w3c_slidy.show_slide(slide);
    w3c_slidy.show_slide_number();
  },


  show_slide: function (slide) {
    this.sync_background(slide);
    this.remove_class(slide, "hidden");

    // work around IE9 object rendering bug
    setTimeout("window.scrollTo(0,0);", 1);
  },

  hide_slide: function (slide) {
    this.add_class(slide, "hidden");
  },

  set_focus: function (element)
  {
    if (element)
      element.focus();
    else
    {
      w3c_slidy.help_anchor.focus();

      setTimeout(function() {
        w3c_slidy.help_anchor.blur();
      }, 1);
    }
  },

  // show just the backgrounds pertinent to this slide
  // when slide background-color is transparent
  // this should now work with rgba color values
  sync_background: function (slide) {
    var background;
    var bgColor;

    if (slide.currentStyle)
      bgColor = slide.currentStyle["backgroundColor"];
    else if (document.defaultView)
    {
      var styles = document.defaultView.getComputedStyle(slide,null);

      if (styles)
        bgColor = styles.getPropertyValue("background-color");
      else // broken implementation probably due Safari or Konqueror
      {
        //alert("defective implementation of getComputedStyle()");
        bgColor = "transparent";
      }
    }
    else
      bgColor == "transparent";

    if (bgColor == "transparent" ||
        bgColor.indexOf("rgba") >= 0 ||
        bgColor.indexOf("opacity") >= 0)
    {
      var slideClass = this.get_class_list(slide);

      for (var i = 0; i < this.backgrounds.length; i++)
      {
        background = this.backgrounds[i];

        var bgClass = this.get_class_list(background);

        if (this.matching_background(slideClass, bgClass))
          this.remove_class(background, "hidden");
        else
          this.add_class(background, "hidden");
      }
    }
    else // forcibly hide all backgrounds
      this.hide_backgrounds();
  },

  hide_backgrounds: function () {
    for (var i = 0; i < this.backgrounds.length; i++)
    {
      background = this.backgrounds[i];
      this.add_class(background, "hidden");
    }
  },

  // compare classes for slide and background
  matching_background: function (slideClass, bgClass) {
    var i, count, pattern, result;

    // define pattern as regular expression
    pattern = /\w+/g;

    // check background class names
    result = bgClass.match(pattern);

    for (i = count = 0; i < result.length; i++)
    {
      if (result[i] == "hidden")
        continue;

      if (result[i] == "background")
	continue;

      ++count;
    }

    if (count == 0)  // default match
      return true;

    // check for matches and place result in array
    result = slideClass.match(pattern);

    // now check if desired name is present for background
    for (i = count = 0; i < result.length; i++)
    {
      if (result[i] == "hidden")
        continue;

      if (this.has_token(bgClass, result[i]))
        return true;
    }

    return false;
  },

  resized: function () {
     var width = 0;

     if ( typeof( window.innerWidth ) == 'number' )
       width = window.innerWidth;  // Non IE browser
     else if (document.documentElement && document.documentElement.clientWidth)
       width = document.documentElement.clientWidth;  // IE6
     else if (document.body && document.body.clientWidth)
       width = document.body.clientWidth; // IE4

     var height = 0;

     if ( typeof( window.innerHeight ) == 'number' )
       height = window.innerHeight;  // Non IE browser
     else if (document.documentElement && document.documentElement.clientHeight)
       height = document.documentElement.clientHeight;  // IE6
     else if (document.body && document.body.clientHeight)
       height = document.body.clientHeight; // IE4

     if (height && (width/height > 1.05*1024/768))
     {
       width = height * 1024.0/768;
     }

     // IE fires onresize even when only font size is changed!
     // so we do a check to avoid blocking < and > actions
     if (width != w3c_slidy.last_width || height != w3c_slidy.last_height)
     {
       if (width >= 1100)
         w3c_slidy.size_index = 5;    // 4
       else if (width >= 1000)
         w3c_slidy.size_index = 4;    // 3
       else if (width >= 800)
         w3c_slidy.size_index = 3;    // 2
       else if (width >= 600)
         w3c_slidy.size_index = 2;    // 1
       else if (width)
         w3c_slidy.size_index = 0;

       // add in font size adjustment from meta element e.g.
       // <meta name="font-size-adjustment" content="-2" />
       // useful when slides have too much content ;-)

       if (0 <= w3c_slidy.size_index + w3c_slidy.size_adjustment &&
             w3c_slidy.size_index + w3c_slidy.size_adjustment < w3c_slidy.sizes.length)
         w3c_slidy.size_index = w3c_slidy.size_index + w3c_slidy.size_adjustment;

       // enables cross browser use of relative width/height
       // on object elements for use with SVG and Flash media
       w3c_slidy.adjust_object_dimensions(width, height);

       if (document.body.style.fontSize != w3c_slidy.sizes[w3c_slidy.size_index])
       {
         document.body.style.fontSize = w3c_slidy.sizes[w3c_slidy.size_index];
       }

       w3c_slidy.last_width = width;
       w3c_slidy.last_height = height;

       // force reflow to work around Mozilla bug
       if (w3c_slidy.ns_pos)
       {
         var slide = w3c_slidy.slides[w3c_slidy.slide_number];
         w3c_slidy.hide_slide(slide);
         w3c_slidy.show_slide(slide);
       }

       // force correct positioning of toolbar
       w3c_slidy.refresh_toolbar(200);
     }
  },

  scrolled: function () {
    if (w3c_slidy.toolbar && !w3c_slidy.ns_pos && !w3c_slidy.ie7)
    {
      w3c_slidy.hack_offset = w3c_slidy.scroll_x_offset();
      // hide toolbar
      w3c_slidy.toolbar.style.display = "none";

      // make it reappear later
      if (w3c_slidy.scrollhack == 0 && !w3c_slidy.view_all)
      {
        setTimeout(function () {w3c_slidy.show_toolbar(); }, 1000);
        w3c_slidy.scrollhack = 1;
      }
    }
  },

  hide_toolbar: function () {
    w3c_slidy.add_class(w3c_slidy.toolbar, "hidden");
    window.focus();
  },

  // used to ensure IE refreshes toolbar in correct position
  refresh_toolbar: function (interval) {
    if (!w3c_slidy.ns_pos && !w3c_slidy.ie7)
    {
      w3c_slidy.hide_toolbar();
      setTimeout(function () {w3c_slidy.show_toolbar();}, interval);
    }
  },

  // restores toolbar after short delay
  show_toolbar: function () {
    if (w3c_slidy.want_toolbar)
    {
      w3c_slidy.toolbar.style.display = "block";

      if (!w3c_slidy.ns_pos)
      {
        // adjust position to allow for scrolling
        var xoffset = w3c_slidy.scroll_x_offset();
        w3c_slidy.toolbar.style.left = xoffset;
        w3c_slidy.toolbar.style.right = xoffset;

        // determine vertical scroll offset
        //var yoffset = scrollYOffset();

        // bottom is doc height - window height - scroll offset
        //var bottom = documentHeight() - lastHeight - yoffset

        //if (yoffset > 0 || documentHeight() > lastHeight)
        //   bottom += 16;  // allow for height of scrollbar

        w3c_slidy.toolbar.style.bottom = 0; //bottom;
      }

      w3c_slidy.remove_class(w3c_slidy.toolbar, "hidden");
    }

    w3c_slidy.scrollhack = 0;


    // set the keyboard focus to the help link on the
    // toolbar to ensure that document has the focus
    // IE doesn't always work with window.focus()
    // and this hack has benefit of Enter for help

    try
    {
      if (!w3c_slidy.opera)
        w3c_slidy.set_focus();
    }
    catch (e)
    {
    }
  },

// invoked via F key
  toggle_toolbar: function () {
    if (!w3c_slidy.view_all)
    {
      if (w3c_slidy.has_class(w3c_slidy.toolbar, "hidden"))
      {
        w3c_slidy.remove_class(w3c_slidy.toolbar, "hidden")
        w3c_slidy.want_toolbar = 1;
      }
      else
      {
        w3c_slidy.add_class(w3c_slidy.toolbar, "hidden")
        w3c_slidy.want_toolbar = 0;
      }
    }
  },

  scroll_x_offset: function () {
    if (window.pageXOffset)
      return self.pageXOffset;

    if (document.documentElement && 
             document.documentElement.scrollLeft)
      return document.documentElement.scrollLeft;

    if (document.body)
      return document.body.scrollLeft;

    return 0;
  },

  scroll_y_offset: function () {
    if (window.pageYOffset)
      return self.pageYOffset;

    if (document.documentElement && 
             document.documentElement.scrollTop)
      return document.documentElement.scrollTop;

    if (document.body)
      return document.body.scrollTop;

    return 0;
  },

  // looking for a way to determine height of slide content
  // the slide itself is set to the height of the window
  optimize_font_size: function () {
    var slide = w3c_slidy.slides[w3c_slidy.slide_number];

    //var dh = documentHeight(); //getDocHeight(document);
    var dh = slide.scrollHeight;
    var wh = getWindowHeight();
    var u = 100 * dh / wh;

    alert("window utilization = " + u + "% (doc "
      + dh + " win " + wh + ")");
  },

  // from document object
  get_doc_height: function (doc) {
    if (!doc)
      doc = document;

    if (doc && doc.body && doc.body.offsetHeight)
      return doc.body.offsetHeight;  // ns/gecko syntax

    if (doc && doc.body && doc.body.scrollHeight)
      return doc.body.scrollHeight;

    alert("couldn't determine document height");
  },

  get_window_height: function () {
    if ( typeof( window.innerHeight ) == 'number' )
      return window.innerHeight;  // Non IE browser

    if (document.documentElement && document.documentElement.clientHeight)
      return document.documentElement.clientHeight;  // IE6

    if (document.body && document.body.clientHeight)
      return document.body.clientHeight; // IE4
  },

  document_height: function () {
    var sh, oh;

    sh = document.body.scrollHeight;
    oh = document.body.offsetHeight;

    if (sh && oh)
    {
      return (sh > oh ? sh : oh);
    }

    // no idea!
    return 0;
  },

  smaller: function () {
    if (w3c_slidy.size_index > 0)
    {
      --w3c_slidy.size_index;
    }

    w3c_slidy.toolbar.style.display = "none";
    document.body.style.fontSize = w3c_slidy.sizes[w3c_slidy.size_index];
    var slide = w3c_slidy.slides[w3c_slidy.slide_number];
    w3c_slidy.hide_slide(slide);
    w3c_slidy.show_slide(slide);
    setTimeout(function () {w3c_slidy.show_toolbar(); }, 50);
  },

  bigger: function () {
    if (w3c_slidy.size_index < w3c_slidy.sizes.length - 1)
    {
      ++w3c_slidy.size_index;
    }

    w3c_slidy.toolbar.style.display = "none";
    document.body.style.fontSize = w3c_slidy.sizes[w3c_slidy.size_index];
    var slide = w3c_slidy.slides[w3c_slidy.slide_number];
    w3c_slidy.hide_slide(slide);
    w3c_slidy.show_slide(slide);
    setTimeout(function () {w3c_slidy.show_toolbar(); }, 50);
  },

  // enables cross browser use of relative width/height
  // on object elements for use with SVG and Flash media
  // with thanks to Ivan Herman for the suggestion
  adjust_object_dimensions: function (width, height) {
    for( var i = 0; i < w3c_slidy.objects.length; i++ )
    {
      var obj = this.objects[i];
      var mimeType = obj.getAttribute("type");

      if (mimeType == "image/svg+xml" || mimeType == "application/x-shockwave-flash")
      {
        if ( !obj.initialWidth ) 
          obj.initialWidth = obj.getAttribute("width");

        if ( !obj.initialHeight ) 
          obj.initialHeight = obj.getAttribute("height");

        if ( obj.initialWidth && obj.initialWidth.charAt(obj.initialWidth.length-1) == "%" )
        {
          var w = parseInt(obj.initialWidth.slice(0, obj.initialWidth.length-1));
          var newW = width * (w/100.0);
          obj.setAttribute("width",newW);
        }

        if ( obj.initialHeight &&
             obj.initialHeight.charAt(obj.initialHeight.length-1) == "%" )
        {
          var h = parseInt(obj.initialHeight.slice(0, obj.initialHeight.length-1));
          var newH = height * (h/100.0);
          obj.setAttribute("height", newH);
        }
      }
    }
  },

  // needed for Opera to inhibit default behavior
  // since Opera delivers keyPress even if keyDown
  // was cancelled
  key_press: function (event) {
    if (!event)
      event = window.event;

    if (!w3c_slidy.key_wanted)
      return w3c_slidy.cancel(event);

    return true;
  },

  //  See e.g. http://www.quirksmode.org/js/events/keys.html for keycodes
  key_down: function (event) {
    var key, target, tag;

    w3c_slidy.key_wanted = true;

    if (!event)
      event = window.event;

    // kludge around NS/IE differences 
    if (window.event)
    {
      key = window.event.keyCode;
      target = window.event.srcElement;
    }
    else if (event.which)
    {
      key = event.which;
      target = event.target;
    }
    else
      return true; // Yikes! unknown browser

    // ignore event if key value is zero
    // as for alt on Opera and Konqueror
    if (!key)
       return true;

    // avoid interfering with keystroke
    // behavior for non-slidy chrome elements
    if (!w3c_slidy.slidy_chrome(target) &&
        w3c_slidy.special_element(target))
      return true;

    // check for concurrent control/command/alt key
    // but are these only present on mouse events?

    if (event.ctrlKey || event.altKey || event.metaKey)
       return true;

    // dismiss table of contents if visible
    if (w3c_slidy.is_shown_toc() && key != 9 && key != 16 && key != 38 && key != 40)
    {
      w3c_slidy.hide_table_of_contents(true);

      if (key == 27 || key == 84 || key == 67)
        return w3c_slidy.cancel(event);
    }

    if (key == 34) // Page Down
    {
      if (w3c_slidy.view_all)
        return true;

      w3c_slidy.next_slide(false);
      return w3c_slidy.cancel(event);
    }
    else if (key == 33) // Page Up
    {
      if (w3c_slidy.view_all)
        return true;

      w3c_slidy.previous_slide(false);
      return w3c_slidy.cancel(event);
    }
    else if (key == 32) // space bar
    {
      w3c_slidy.next_slide(true);
      return w3c_slidy.cancel(event);
    }
    else if (key == 37) // Left arrow
    {
      w3c_slidy.previous_slide(!event.shiftKey);
      return w3c_slidy.cancel(event);
    }
    else if (key == 36) // Home
    {
      w3c_slidy.first_slide();
      return w3c_slidy.cancel(event);
    }
    else if (key == 35) // End
    {
      w3c_slidy.last_slide();
      return w3c_slidy.cancel(event);
    }
    else if (key == 39) // Right arrow
    {
      w3c_slidy.next_slide(!event.shiftKey);
      return w3c_slidy.cancel(event);
    }
    else if (key == 13) // Enter
    {
      if (w3c_slidy.outline)
      {
        if (w3c_slidy.outline.visible)
          w3c_slidy.fold(w3c_slidy.outline);
        else
          w3c_slidy.unfold(w3c_slidy.outline);
          
       return w3c_slidy.cancel(event);
      }
    }
    else if (key == 188)  // < for smaller fonts
    {
      w3c_slidy.smaller();
      return w3c_slidy.cancel(event);
    }
    else if (key == 190)  // > for larger fonts
    {
      w3c_slidy.bigger();
      return w3c_slidy.cancel(event);
    }
    else if (key == 189 || key == 109)  // - for smaller fonts
    {
      w3c_slidy.smaller();
      return w3c_slidy.cancel(event);
    }
    else if (key == 187 || key == 191 || key == 107)  // = +  for larger fonts
    {
      w3c_slidy.bigger();
      return w3c_slidy.cancel(event);
    }
    else if (key == 83)  // S for smaller fonts
    {
      w3c_slidy.smaller();
      return w3c_slidy.cancel(event);
    }
    else if (key == 66)  // B for larger fonts
    {
      w3c_slidy.bigger();
      return w3c_slidy.cancel(event);
    }
    else if (key == 90)  // Z for last slide
    {
      w3c_slidy.last_slide();
      return w3c_slidy.cancel(event);
    }
    else if (key == 70)  // F for toggle toolbar
    {
      w3c_slidy.toggle_toolbar();
      return w3c_slidy.cancel(event);
    }
    else if (key == 65)  // A for toggle view single/all slides
    {
      w3c_slidy.toggle_view();
      return w3c_slidy.cancel(event);
    }
    else if (key == 75)  // toggle action of left click for next page
    {
      w3c_slidy.mouse_click_enabled = !w3c_slidy.mouse_click_enabled;
      var alert_msg = (w3c_slidy.mouse_click_enabled ?
                "enabled" : "disabled") +  " mouse click advance";

      alert(w3c_slidy.localize(alert_msg));
      return w3c_slidy.cancel(event);
    }
    else if (key == 84 || key == 67)  // T or C for table of contents
    {
      if (w3c_slidy.toc)
        w3c_slidy.toggle_table_of_contents();

      return w3c_slidy.cancel(event);
    }
    else if (key == 72) // H for help
    {
      window.location = w3c_slidy.help_page;
      return w3c_slidy.cancel(event);
    }
    //else alert("key code is "+ key);

    return true;
  },

  // safe for both text/html and application/xhtml+xml
  create_element: function (name) {
    if (this.xhtml && (typeof document.createElementNS != 'undefined'))
      return document.createElementNS("http://www.w3.org/1999/xhtml", name)

    return document.createElement(name);
  },

  get_element_style: function (elem, IEStyleProp, CSSStyleProp) {
    if (elem.currentStyle)
    {
      return elem.currentStyle[IEStyleProp];
    }
    else if (window.getComputedStyle)
    {
      var compStyle = window.getComputedStyle(elem, "");
      return compStyle.getPropertyValue(CSSStyleProp);
    }
    return "";
  },

  // the string str is a whitespace separated list of tokens
  // test if str contains a particular token, e.g. "slide"
  has_token: function (str, token) {
    if (str)
    {
      // define pattern as regular expression
      var pattern = /\w+/g;

      // check for matches
      // place result in array
      var result = str.match(pattern);

      // now check if desired token is present
      for (var i = 0; i < result.length; i++)
      {
        if (result[i] == token)
          return true;
      }
    }

    return false;
  },

  get_class_list: function (element) {
    if (typeof element.className != 'undefined')
      return element.className;

    return element.getAttribute("class");
  },

  has_class: function (element, name) {
    if (element.nodeType != 1)
      return false;

    var regexp = new RegExp("(^| )" + name + "\W*");

    if (typeof element.className != 'undefined')
      return regexp.test(element.className);

    return regexp.test(element.getAttribute("class"));
  },

  remove_class: function (element, name) {
    var regexp = new RegExp("(^| )" + name + "\W*");
    var clsval = "";

    if (typeof element.className != 'undefined')
    {
      clsval = element.className;

      if (clsval)
      {
        clsval = clsval.replace(regexp, "");
        element.className = clsval;
      }
    }
    else
    {
      clsval = element.getAttribute("class");

      if (clsval)
      {
        clsval = clsval.replace(regexp, "");
        element.setAttribute("class", clsval);
      }
    }
  },

  add_class: function (element, name) {
    if (!this.has_class(element, name))
    {
      if (typeof element.className != 'undefined')
        element.className += " " + name;
      else
      {
        var clsval = element.getAttribute("class");
        clsval = clsval ? clsval + " " + name : name;
        element.setAttribute("class", clsval);
      }
    }
  },

  // HTML elements that can be used with class="incremental"
  // note that you can also put the class on containers like
  // up, ol, dl, and div to make their contents appear
  // incrementally. Upper case is used since this is what
  // browsers report for HTML node names (text/html).
  incremental_elements: null,
  okay_for_incremental: function (name) {
    if (!this.incremental_elements)
    {
      var inclist = new Array();
      inclist["p"] = true;
      inclist["pre"] = true;
      inclist["li"] = true;
      inclist["blockquote"] = true;
      inclist["dt"] = true;
      inclist["dd"] = true;
      inclist["h2"] = true;
      inclist["h3"] = true;
      inclist["h4"] = true;
      inclist["h5"] = true;
      inclist["h6"] = true;
      inclist["span"] = true;
      inclist["address"] = true;
      inclist["table"] = true;
      inclist["tr"] = true;
      inclist["th"] = true;
      inclist["td"] = true;
      inclist["img"] = true;
      inclist["object"] = true;
      this.incremental_elements = inclist;
    }
    return this.incremental_elements[name.toLowerCase()];
  },

  next_incremental_item: function (node) {
    var br = this.is_xhtml ? "br" : "BR";
    var slide = w3c_slidy.slides[w3c_slidy.slide_number];

    for (;;)
    {
      node = w3c_slidy.next_node(slide, node);

      if (node == null || node.parentNode == null)
        break;

      if (node.nodeType == 1)  // ELEMENT
      {
        if (node.nodeName == br)
          continue;

        if (w3c_slidy.has_class(node, "incremental")
             && w3c_slidy.okay_for_incremental(node.nodeName))
          return node;

        if (w3c_slidy.has_class(node.parentNode, "incremental")
             && !w3c_slidy.has_class(node, "non-incremental"))
          return node;
      }
    }

    return node;
  },

  previous_incremental_item: function (node) {
    var br = this.is_xhtml ? "br" : "BR";
    var slide = w3c_slidy.slides[w3c_slidy.slide_number];

    for (;;)
    {
      node = w3c_slidy.previous_node(slide, node);

      if (node == null || node.parentNode == null)
        break;

      if (node.nodeType == 1)
      {
        if (node.nodeName == br)
          continue;

        if (w3c_slidy.has_class(node, "incremental")
             && w3c_slidy.okay_for_incremental(node.nodeName))
          return node;

        if (w3c_slidy.has_class(node.parentNode, "incremental")
             && !w3c_slidy.has_class(node, "non-incremental"))
          return node;
      }
    }

    return node;
  },

  // set visibility for all elements on current slide with
  // a parent element with attribute class="incremental"
  set_visibility_all_incremental: function (value) {
    var node = this.next_incremental_item(null);

    if (value == "hidden")
    {
      while (node)
      {
        w3c_slidy.add_class(node, "invisible");
        node = w3c_slidy.next_incremental_item(node);
      }
    }
    else // value == "visible"
    {
      while (node)
      {
        w3c_slidy.remove_class(node, "invisible");
        node = w3c_slidy.next_incremental_item(node);
      }
    }
  },

  // reveal the next hidden item on the slide
  // node is null or the node that was last revealed
  reveal_next_item: function (node) {
    node = w3c_slidy.next_incremental_item(node);

    if (node && node.nodeType == 1)  // an element
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  },
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  },
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    "contents?":"目次",
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    "Table of Contents":"目次",
    "restart presentation":"最初から再生",
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  },
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    "help?":"帮助?",
    "contents?":"内容?",
    "table of contents":"目录",
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    "restart presentation":"重新启动展示",
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  },
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    "help?":"помощь?",
    "contents?":"содержание?",
    "table of contents":"оглавление",
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</head>
<body>
<div class="slide titlepage">
<h1 class="title">Simple Exponential Smoothing in R</h1>
<p class="author">
Week 12 R-lab<br />Zhaohu(Jonathan) Fan
</p>
<p class="date">07/27/2021</p>
</div>
<div id="forecasting-methods" class="slide section level1">
<h1>Forecasting Method(s)</h1>
<ul>
<li><ol style="list-style-type: decimal">
<li>Define Goal</li>
</ol></li>
<li><ol start="2" style="list-style-type: decimal">
<li>Get Data</li>
</ol></li>
<li><ol start="3" style="list-style-type: decimal">
<li>Explore & Visualize Series</li>
</ol></li>
<li><ol start="4" style="list-style-type: decimal">
<li>Pre-Process Data</li>
</ol></li>
<li><ol start="5" style="list-style-type: decimal">
<li>Partition Series</li>
</ol></li>
<li><ol start="6" style="list-style-type: decimal">
<li><span class="math inline">\(\color{red}{\text{Apply Forecasting Method(s): Simple Exponential Smoothing}}\)</span></li>
</ol></li>
<li><ol start="7" style="list-style-type: decimal">
<li>Evaluate & Compare Performance</li>
</ol></li>
<li><ol start="8" style="list-style-type: decimal">
<li>Implement Forecasts/System</li>
</ol></li>
</ul>
</div>
<div id="how-it-differs" class="slide section level1">
<h1>How It Differs</h1>
<ul>
<li>Naïve model
<ul>
<li>Forecasts equal to last observed value.</li>
<li>Forecasts: <span class="math inline">\(\hat{y}_{T+h|T} =y_T\)</span>.</li>
</ul></li>
<li>Seasonal naïve model
<ul>
<li>Forecasts equal to last value from same season.</li>
</ul></li>
</ul>
<center>
<img 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" style="width:60.0%" />
</center>
</div>
<div id="how-it-differs-contd" class="slide section level1">
<h1>How It Differs (cont’d)</h1>
<ul>
<li>Forecasts equal to average of historical data (several observed values).</li>
</ul>
<center>
<img 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" style="width:80.0%" />
</center>
</div>
<div id="how-it-differs-contd-1" class="slide section level1">
<h1>How It Differs (cont’d)</h1>
<ul>
<li>The more recent the observation, the higher the associated weight.
<center>
<img 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" style="width:80.0%" />
</center></li>
</ul>
</div>
<div id="the-equation" class="slide section level1">
<h1>The Equation</h1>
<ul>
<li>Forecasts produced using exponential smoothing methods are <span class="math inline">\(\color{blue}{\text{weighted averages of past observations}}\)</span>, with the<span class="math inline">\(\color{blue}{\text{ weights decaying exponentially as the observations get older}}\)</span>.</li>
</ul>
<center>
<img 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Vy4GcXo+1oqucqID7MleywjUaDL6IDGMtKHMk+FkFYEPoSu4Ui6/gSazy3nkODZSUd5Z0fb0fPvO9PgGn8Nr1cUkVkMll/FTV3l2UYeeT/fjcLU6m2xFlFP8S3FSI673KWD22JQs7idx70EazhXrjGFKx1Bd+I+eF2bXOW+WXTEeCNJn5SSjaMxhC/fhaXSkNmO8T60Nzehqcmw0NjShb53ur6vFG8v+skLkLyQrZi2V/K8CGFyH0PWQEdVrT6CKH2FawGKAiTQNPI/wHq+geewYhDzdRPSPKKRP62lMdKXzZjK5yrJD5W1hqkuDiZ6uAUligrpIApfa0msxW6csVVW1l7ncFdnE5NBcjVMMSomjkSeptEanZDhXX87mjXYkDw0t+LOuK4ptwl2JOfjdOxeIRMqmmzDUHvTqfxrYewqYpkd/PJo28b425Ktrs3EADq11ovNaHg4trY4lvMJbVUfXpYikreXvaO7htkVCV7nBcI+X8P5FhtRjxp85L0B7aWubLjbyQbbgcrMkFivtWbbsD5n9UK1n6JTznXcV7g9yWHpd95X4VfNOiXuNZoGPtRZpYwsvMHTO21oab2J24MjOuxSJ8W74gD573+z7wy6VhSRQVwK9NfgsiLFTMMROMZWG35q8nqOvJ+9jgTfXD3q0M1DP/GtXCnLGcUu2xTUaOyqLqInOQLpmvwW5ciw+LwD5dFOEAn9cez+S7ya1paEBlQmbxuQYmqk28i7Jh6WITk2BjExhoXouAyU6TryIJtEa7iix7nbknUWtCVDezIcjY2wxzQMOdoa6A/M4maUYuHWL493LB9NkD7DtTBfxPWoTKzJZjHefh5HnIT4ZcA53Ho5igm9LVoDGy5oZPiB9fS5SpKrbAI7tPSs5pdOKTOF41UtU/gcyum3VcWRRt6hO9ZEnme/MKTnvQQTn7WBS6OeK4ORwBvJuvppbIodMaSPUOapeB/Oz1jzcct62pte5V8z7+tiYckzg1fDxix1I1tdCym+Lw78MMq2MghgWvhYN8HzSW1VD2brkCxk4ptnvdI3drgMkf5MFC0z642qR9dz5P0OEt8bagfcAj9P5aDgKkJeI9uwPp+oxmG5Kx8PvzjapsUNZh4PjlrJZ3S+Db+sZcZMjY0uI7XR8jput00Kqpc9S4rJkjA4Zt1dPnI++wJ3z8fAXSiAbV4Pno8Y4DSy3iPvd6z4Hr2CGIHCKL7W5m8jm8bdq9fRry1yL26g+PQRhFiwTHOKQGpWNgruTSk/VMeAyoQVVnu+CM5VGziKtVlI7iHPgWtUjbXvpckqqc4YM3kh46bT1jaaRfSlKArlT6KvqeSRFNNXIuF86vayaxM3zuNsomLbIosDJ3AquxxtGzH6veGCRoKnJ+wVvXZBIDI0NkxM2F2PVaxaF3it7vfXECdfzCIXR+0ae5GaWejEGfmaBwEszj/VY4RFjbd1OCrf2mp5Jb0UdjlmoEXXh2+KHTE+TMdyjcANLaPM+tgbQ6/yrwmu0bGEsTgCuRslBMhW12CGdbC4rRJX2ikXuFnQg1r3NlPjk9qqHix2KdNOCLfrKk+TvkRjpB9i76q6J2xgPbquI+93kPjeUDuYw61YxcJmTshrPndEC9uxPr+ToTw9XADrUi3bJU7UI8VccY+JrmtANrqM3Dwm7xjtFUahQLWH8KICsQEn0bysiLzErfNZOO6n2F51f/ppZFy+q/xwbTbsyPudKb5lkNZEKbcYNIXHiu1l9EAu4o11OJZe38qEWwTjCJ7WBm+bMccKkLyHa4z/E1enuTA8PAt/+fS1MX4aWaXDXskfXYO+2l/0sVJ7XoG4oFPLR2vkyDBfHgwRN72qyafXUDZc0MyhM1oxUrJHFIsLmirYxT6U7FOMPuwVHsA59a3vPiDFTJG/PI32CsNwRpvfpyZ6suS7Uhjx3XBo5X5wuiOZxtizYQwPaw5DozO6NwSbZEdvWRrJRzt5FvBp1lZV62tvDJ3LvwbkxyOvdvCDAZCtroEEMyPPNNqpPDwbxZSuCfdJbVUPpIModefaOiaASpYEkBRTV6LgdlptRE/OxtSj6zvyfgeJ7420AybsuFMbuft+ru8BOduxPr+uGFE2NhbBs0GTF/0iXrA6VzETJYRzjYa96FewCWVkIBf+fG5dRCBOLOkt6Qs0RgUiftlspxLZGBqC+fhmX85KN0StyDb2yPudKb5nceeQohe6Rxy+rlEn6bUomLHez/LRkhn05h2Wn+72McQiyM4czhFxy68fSsVFTVM4yn2FdR4t+dRMVuGQcjHJTxNbVi5WkW9VZgI+n2ukWW81uX35tL5GWCNwiTUC7Jnfup1WTC1JhlATEYSkh5q+PY2OgyLsctKjZ64LGy1oZFNoCVOIld2mCShfsdxAsTWTJZ8vt1Fu+7ZKrfGR4PUZd/nIpHafOk2w38hTHEG8yyENdbouGNlsNsOOVPwOd9klo1rz3CdDX3tjj9ZY/nXkMbfHMl/30R5dIFvdOj6preoBEwr1wdwzVTYWeFqKgyE56NT4QhtQj+p15P0GtJf6sNHieyPtQDLAOrKcSNfXLWs7lhEZpBVhSmFtCr8bGmLDbc9oxgOf23aPZ4n9uqxc3IwyMqo4bNGI74r4h5zRSzBeEgH33F7Nnamp60gSM/2YeVf/QReG3kfev+1CyeHlZeFQrD8cLfYhJE6lfLAQk1qF3i3WjLqL7w/+icb4RWARBg1+0TncSzDDHmtdtiLUsyf/+hKi+MYwOn3foMzdcmbrkKTs/f/0YLXaSaHzeFEQABP348iN5XY64GOXrkYrX7DDjNwiCZWSRbzMC4FH0eDKCo5j7gYyzFmHJaVdc4ExlA0fTZzFzYOK0cS9wkjkzSgvL9FXiHALV6Rkxcun8lef5pPgRZaLXND8PKJC94Uf3L7MSr8+bpsj7SvBt5jNsKOBcwiQ+xmziq5gYPX79bE3TeV/6h6qT59CVlbWh3AquwSN4+rlXorvS/dDyHdGzANDFY4GyFa3jk9tqzozj1uxilNJv0puw+J8P8pCwnDysZanr6hHZVi4exlnVGyaCydLO+WfrkDHI+9XZweNfG+kHbDye9FVkf+OVXos4N6uZaQ2SjnyLYTLNTXnXmaHVwLMYZ56Gsnm3Ii9ji5fm1FG5ptxnHO14VkgsIM9sS8foREXcU/bw1sSYc23RvBNZcUvm8bA5dPLykdWVjbOdY0pPtfEmkfer8GOHPluT4aT3F+Ij71Z9wzPvMVbOGtrhK8PNeiwIFKfyoRzizkIM74twrs3xLQ2H0k/a/S5NDXGbpsElH+YapzFy/IYOJn74OiDKdyOVzYCSa2KxRdzj1BzJB4ZD7RU1LfT4cryipvOPt+chYD4Ku2G2pUKZ54ZvJs2VHpvgqCR4NVphQjhFkH5t3x0e/ph4DKS7M1gncs6XY2HlELwCK7IzWAOr8oSEX6hV8WHUoo357gFOjz8Qn2R4Go8L0WkfLRmFV+8T8GG29E8Bo7bydN6twMTyWtNgetjb5rKf9NhuQjl3n8p7LZMxGX1qUVWWbdHirDbLhW1G1nEyVa3jk9tqzrD7QyheO7PIkvQmREEv5pVFsWuqEfnPswUf7RrHn55pEX5uQqrHHmvHztIfG+kHUifotyLpa8uB8eosl3LSN8Z+Mi1Fg+7Eps+utvMDqIu2g48v7PonmpFmlL4BrQpKkrZ4CUcPVSILvXDvDarjEju4pw9955CeJY242xwLM5r3Wxikb2DDYzM41G65As+14ITcr91lTLCs4T/jVVquRVH3uvJjhPfkue4HrK0Vyp3elSP7o2AOg9Os56LCM41Gvb9XYE+lckc7iaYYa8FK8iah9y2IRI8z3aVT3tx6Sr0P4Ks3CykhThALHRGUAO3fdDHRmAvq5DiTp9EojuLp9MhlLzUUl08KUAw18vlmULkk4prWrdPkuDFKWcYiw+sbxsyjUghmZvF3EZO5bEGwFfee2dpYemH+OxcnEkOhYtIAJMjdYptqJRCkDvty+VIFk7H7IOF0BH+dS+XdRhlVeEQszQ3znmgW0dSNomeo4pFdNuust5oOxqtRoIpN6piC9+mN2uXU53tjaGh/L+fm8L42BjGVMPk7Mp8mWuVjy5+ndi8waNUZKtbxye2VZ1hnZ58hUuCkakl7NLaV5l10FSPSrEwNb7cpsfG8WZWzchWPfJeXzZRfEsXMT87r5v96cRG2sE0boTz5e4POvttb+cywg0GuHHvxS1mtoRb0mnkZSUj0kGEPS6JKON2ffkgfHng+ybidEYsvM0EEB+uxWP1iGxWGWGdnsve3HvyILb0xoGbmg4SU8LidIF1tr6KrMLIhyIyh+lx1fLBwvgkZlarh9WPvNeXHSO+n9Tj/OlUJHhbKguJ0iAE1nA9mIRjxZ3Qbz9/KSYKvMAXBiGTO/VoehITq1qCHpXJQrd8RO1vDlYZvn/kp2DqFgo9FSu1P6SvQxiO31TZN7czTbn6mfucD4HfCVRqE94cSn+6vWaBSB1YpZskHcIVL26LpVIMyWR4Ozm9jRppDcim0X/KU7noV5lWQnt45nbg+ZKJzHUjx0HlcwtfxDYvFzNy5CKQv/aesE8acT47HSmBdko/PEXYa+IM/4QTyOnSdX/jTWbD7GgeT+XHOPPBT2nVrSzpam96l381OrnRRRFcawzYG3yrIVvVzqe0VZ1Z8r3lYe/+Atxe1awNrEf1OfJeJzZRfG8GG2YHis4PT+C5dtx3RBmRYbE7CwEmS/HmghBm4WdRP/ah8kB/6lLngaUb3wIO6U0rhfdmlpGltS08M9gVajsJU8nTQgTzBbC99ApS6TQmpg2swVc78l4XduaCyw2AZRa3t+e3Hmdxb+oeSnJqsHoazqMvPx2luuxc0p7CGmbWC8zdAUfKqzP3Aj01JbhwoQSXWx7g5YqVvAsY76pAUdElVHQ9xZo7C7DeYaqpHfwbR1evSCa5/UR5EJ7rw9ydi0ivfbYD0m4OY901KLtwARcrW3BnbGWrKHvRjZqiIpRc60T/Oy2JNd+BTEtmL7qOJu4ENsKOnlxEuNgYu/1ycVPXwThd7U3v8q/KLB6kcEfKuyNBxyPlPz1kq1r5VLaqDw3xEDscxiVNJ1yqYkg9asCR92ujR3u5Xdiotq8tCbYCPUa+dwA/PL+FutILOF9SibqHoyv3+154iZ6Ki7hw6Rpah7TsprKpZWQOt+JMIEiox7NVTY51ZCvDIRbsw5GBKQxcOIOS52vkk8yQI+91YP42Lp6s1W1f9BXIsPCiFzd7Xy4/hGhuBAPdPXi87HDFBUz13ULXsPaO+BaL71H5VjN7zd0QkFK0MftJv+5B45UcHHZULnDyTMTZugcfpza+NGTTGMzaj32FD9aemh/htnwzgsg9DLHFdzH+RaXZLO4mWOCrxOaNXWi6k5Eq3Mv2Oh9B+VqCYwl97M2g8i/F5L3rqD4TBTf5tmNi2B05j6sPdXFb+1wgW12BIbaqD1N3ULA/FGl9OigWfetRiYFH3hPamW1FhqUp/FpXm6L4wtjUMsKE6O3T2B9WgO41i4gM35cHQ8wzh0N4MrLv6bA1okFH3m8ykvsocOTcd5wQfX9JUksxlusBbk3Otye6WPdXiXJPdfl6nhUdSgVbK74ZspGH6Oh+jA+zJ8QGMotnhaFwSWnS0R1oEZMPOtD+ZNLAkZYdTlsyrLxzcZtskTGPVwX+MHGIxflhXcdX9bU3Kv8GQ7aqgiG2qgezD3El1AdhLeM61otfeD26LZhFb7INTPMGKA/kbG4ZkT44jwN+R3F1xY5UWlgcxcDNbvTpfCAAQ+8j7zcbGeaHbqPl9vDyA7Bmn6OnvRv9b1XjNofxnnbceKS9Tthy8U1sJFLMzS0oepGyKTzKDYJ95CXDN6D/0lhkPVn3YJzajJGzHYUUM/VH4O52GMWq/qcrIHv7ZJCtKtHVVvVAOofvF5TpOnkXJUGu2Hf5ycppfmJ7c+8UnMPWcUT8Z8PGl5H3c3OYl6crE6B3ziHcLQI5T6jiXw8kvncq0hdojbWHUOCG2Pp2VMa5wjy4QMM2Q4R2pJgqCoZnxahCUH6RsIq6OQ2BQZmoXW04muztE0O2qrOt6sPzGiTbC/Cdeypq20qR7GoHp0LVrR6JHYP0OapCIpHzZflPqrHRZUSKyapYuAr4ME2rw63ieLjbByFN2zbHhM6Q+N6pPC1EiHIrM26rJJODxbg1S0JIb6aakRpfunFHle8oZvHy6lGEHL0KTacBL4Ps7dNDtqqbreoMt/uO94edvIwE9vAqeYhpEt47FBl+aExG0KXttLXmVrIJZYTbycdnye/aGHsdInG6b5aE9wZA4nunInmKhkR/+ATHI63mIfnQGowEI5fPo2LD9znfAQxcQUbZ/Y+HOKwG2ds2gGxVJ1vVhycVSA3whf+hbJT2TZG/8E5H8gSVF5t31nbDG8WmlBEJRq8mYr9fMCLPVOMOTQltGCS+CYIgCIIgCGKLIPFNEARBEARBEFsEiW+CIAiCIAiC2CJIfBMEQRAEQRDEFkHimyAIgiAIgiC2CBLfBEEQBEEQBLFFkPgmCIIgCIIgiC2CxDdBEARBEARBbBEkvgmCIAiCIAhiiyDxTRAEQRAEQRBbBIlvgiAIgiAIgtgiSHwTBEEQBEEQxBZB4psgCIIgCIIgtggS3wRBEARBEASxRZD4JgiCIAiCIIgtgsQ3QRAEQRAEQWwRJL4JgiAIgiAIYosg8U0QBEEQBEEQWwSJb4IgCIIgCILYIkh8EwRBEARBEMQWQeKbIAiCIAiCILYIEt8EQRAEQRAEsUWQ+CYIgiAIgiCILYLEN0EQBEEQBEFsESS+CYIgCIIgCGKLIPFNEARBEARBEFsEie9PjWwSN2JsYJPfj0XlJeITYEg+SPpR7msDz5px5QWCUDLRiXP+Pgirf6VmT4uYvl2Gkwd84e3hAY+gQ0hvfIq3yk8JQ1jA5J3LyA73RMSNeeU1FSTPceOwJ1xzbuONTHmNIAjiE0Li+1Mjm0BTiAD8nAckvj8lhuSD5CEuuAhgd2VUeYEgGAuDqAyyg0NhH94pLymYw7OLIbA19URU80t8DxkWHxYh1soMtiQMDWAO4zdLcGq/HcTGxjA2FsKzYU75mRqzvSjxtYPL5SGqZwmC+OSQ+N4qFh+jMiUf7T8o/16CxPfW8qgUCYX3V6a1Qfkgwez4KN7MSpV/E+tjESMlyUjrVS8kW4S2MqoX7/A40x2i6Eo8WSamZZC0HYMbjw9x7kN8HJ+V4l1ZEEz41vCqHcWmxXwnCPuZYdwuO4mowtvKC2sweg8NbQ/wtCsX4WKj1cU3x/AVxNh548iD75UXCIIgPg0kvreKhjiI7U+gnsT3J2Qet2JNsCvj1gaJb2JDmW/GMVNbHLjzicS3tjKqDz2n4WMZijMv1dSu5CGK3IyxV+CP9Bdqn01ewxHxXux2SEb18qHydSLF7EAjio/sh/fFR8pr2w0pvn/UisvHw7DPVARTn1gca32p/ExHpI9xyXONkW85UkwUB0HocxbdC8pLBEEQnwAS31tF7UHwHEh8f1rmcPOggMT3dmWuHknCTyi+tZVRXZE+Q3WgCILs+8zS1LiRBHtjI3zncgo31J8vfYkaf048msK15g2TiOtENovX7SXIDHWCqY0PDpytwa1xifLDbYJkAkP1BUgPcoCpiT28jubhSu/oynTTBekLVPvpIr4Z8/eQ52wC+8svNm+WgSAIYg1IfC9DivmnnagtzEb68eM4nnsV7aMfG63340/woKcH9wYN8PEl8b0NIPG9rdnp4rszDc6mIcgeVffxWMDDZCvwjI3xswMVGHuvvPyBRTw4aiH//KvY65hUXtWb+dd4ePUUDrtbwdQ7Dieq7uKFwSO8m1MXSkd70XQuAcF2JhC5H0BSaSsevl1nd4OJ7xpdxTeL13RJIHjO6Wim0W+CID4RO0R8yzB3rwhJnlYwMbGGY3wRbk6vaMHWx+JzdJ7whS2fB4HjfkQnHkaUqxn2OCTiyhv2W7Jx3DhgwhpIHnYfbWFfkOJ1USS8veNx7rkmh0op3pTFwMfTE54seDmYw1hgCUcPxd8e3tHIfsq+pyr6ZDN43pCPjOhQBPr5Y3/MMWQ3DmJK0+OVLA614XLGIUQG+cHPPwQRyTkovjeq4lOqIwuv0FOSjsNh/uw5oTiYXoRrQ7MsFkpGapHqG498bjr9TS/qshNxkP2mT1AkDhU0of/7j/khe30LVRnxOBDI3insEI5duYuXqwmahdfovXoWabFh2O/HvhNyEIdOl6F+WOX3NaHL96TDqI1RpLmnpweczHkwtnSGhzJfXGPK0MulryH5IH2CmoM+iGxQkUtTTTjlexCnubydeYT2/OOICw2Q503ksQJUPprRHCfZLEbby5CbFI2wQN8PdrMUXKNL0bOKHSxHirm+epSkxcvtwof99oGUHBR1PMWUhh+XvbqNa2dTEB8WCD+/AAQdTMKJS20YUMnTDxgYP9nLLlxNj0WEvx98Q+NwtLgF/bPs+UOXkOjloYinhwMseQKYOSv/9vSG76UnH0co50fwsJrlS3w4y29f9pxYHLnYikF1Y9f5HXUsozrxDncOW+CXB6vwWj3ZpI9R7sGJQx5+kdymoWyyuiTXHUImvr9zPolWPcX/+/GHaM49hEBbVjfGnELRrZdqCz31RO+6cC3mMHG7EvlxPrAztYX7oWyU3H6Btzrb8xroJb4ZY5WIF1tifzv5fhME8WnYGeKbNaZpltyCGq6CVTRiuxIaMa5BGxiE9CXaYm1Y4yeEaVItBpeGPqdacMKaB3H+IDCYjyC+EXY7JOAy1wBBgmeZTuAJvJD8WFMrwjoMvXW4Wl6OchYqjnrC2DwYxy5dlv996Uoduqe4hkwh+oSnW9CR7ApTuwDEnspDUckF5KWEwkUkglla28oGHQsYr0qAh0gMq9CjOFVYgrKiPJyOZY2m0Bz2mW3Q2CfQxMIgqoMtwLcPQkLOeRQXnUNmjC9rKB0R0alsoJ6XIFzkhYy2aqQ4WbFGPh25F4twITMOfmY8GO0vQPf8e0jun0eUnS08kk4jv6gIBcfDWBwEEByqhSYdI3tciVRXMRPEnghPy0FhcQmKz2XgiC/LD6E9vC7e17gLhM7fk03hUZ0izcvLS5HhycfekJMoVebLpbpexUikIfmgabeTNxWIFbrgaEsDTjHBYrE/Eel5RSi9kIOMEAeIxe6I7JhYLlClr9F51AViM1eEnDjHfvMi8lPC4C7iw+RgtvxdufccWWEDGpBN40leCOwFJrAOTcLJgiKUXDiLrKQIeFnvw6E+VWU3h9cVCfAU8yH2ikIyl/fstwtYxynIRgAjhwPI7H27/F0Nid9AMaIsRbAITkbW+WKUnDuBBB9rJuxSUf/qIZquKPLicmkyAvhm8My8pMyvK6h4MKl41tQNnHIQQ+wejoSsAhSVljDbi0eABcvP4CLcU/Wq0PEdZbqWUV2Yu4EMcyEcqzS4jSy2I8OMq7/4rHP3UMPMihQzRf5y8b1HFIPzOvlecL7SLShL3g8nW3cEnSxH84s1Oqu6YFBdqAXpGAYuZ+KQhwXETiE4XFiPu282YV5JX/HNOg+NrKz/knWENtTFniAIQkd2hvjuSoUzT1V8G2OXQxrqDJ0eXoYUU2UhsOSxZ/rl4faytmEWN6ME+Cr0AhqP2oLPd0Bw25SygZPiTW0mEhPPoHLFNLMGVnU74cHE1h62seW4t2wwRoaFjjR4CewQuiSClUi70uEpsoN/5ZBaA8Ia5fY0eDPxZVvyVAcXChkk1QdhYp+ECjWh8cNwGxoHlI0ZJ74F5rBz9kVk68iy574fvIhIMxEcThchzd0H8d1LacQhw3zbcXjwLeDbNK1ynfG6Dsm2PAjDL+DmtHoazuLllTi4CczgeEktHoZ+b023Ez3zQZv45pvAxn4fAioeL88b1hF4mOqMvQ7HcO3DY5gArIyEuUUIMgZVf5Tly/08hNn44tgHBbQWUkxcCoWV2A3hDS9W+s8uzGD6w7ArE3y1sXDiW8P9Yg/G1VXb7CM0xDqAbx6C00MqRqtv/GSTaIs0gfHRFjV3izmM3riBO6rDwKu5ncw8QHPr05WjpT2n4M23Q8TtdbzjEutxO7l3CvsEPkgZ1lAXvK1BAn8vq7cEMDmvMpL/AWYDZfshYvXaXmEoslYTtLJZjN+8hOxwV1i7RSDpUgcezepQ/+iEoXWhFua7kOcshpF1CI43PsKbzXI711d8s7d+c84Lu12z0GFIXhMEQayTnSG+h4uY8Fsuvr8OLEL/RrQ579qQaWMMI779CoEr98U8YgZjc1s4iAXgHW83fC/eNcT3bp8crPh5Dtko6oIE+CalXXmBwS3s8hNg99FWLe8zi95kG+yxP47aNf0aJXh9xg1fafRFVUEuvjlB/1jDtPkCHh23A59nDofyYQ3CdhQNwQJ8fahB5TCRGfQkWmGXWzoa32n74Xm8yvOB0PwA8seWImro9zjWFt965YNW8S2ERd4DzaNqI+WIFloiqFP5BkyctoSLYJTVoyFdF/E03RHfJjZjWnllVeQzROy3CwdWCm913rbhpDXrwGR0a3drmh9AuY8A30VW4tnSPfrGTzKAEjcBnKuUI9irYYjP9+JNnGJx3qcquvR9xyUMFt8y/HA1FHyLJFzVJDAnKhCvFN9WJc81iG8pZksC5CPfe4Wss7PalN5IC84G2EJk6o6Iohvof7dmqurOZtSF0ik8a8hHaoAdTB1DcLioZf0+3uroLb4ZrYmwFIUjd6PdFwmCIHRgZ4hv2Qye5O2HHV8hvPdaBSG1593ajfmasEazJgoW7JnfumkaBZlHd4xQ/pvfuaSi9u06KupVxfdqC/0keHbSEb8MLVf+zXhZiki+Cdyza9HQ0KAxtJwKgFjgiSOPdGghW5Ngb+KBmNZX2kWb0u0kZUjL864dhEgci2KNkZDgVbYrvgm48LHD9LYBKaZCOF5dY2/jt004bs4Ebvlr5d8Gfk/OehZcasiHVdxOlrt3qCDpRaGTynekw7jqK5T/vdKeZVgoD8Zuf5V0W426WJibHECeDoLiPXevOAzZ46s/+H1DPKxEQTi1NLujb/xYR7DniBWMvE6g+pXmlP2AQeK7G9nWQnjUzyovMPR+RyUGi2+FfX/nlYe7mpLzXS0SleLbvGhYo/ieusA6i3LxHYl8lahoZhHTPdUoiPOCtaUbgjIvo/WVjqJTK5tdF358ZxtzZ/inFeH607erl2FdMUR8D55DgMAdhwc35A0IgiD0YocsuOSQYna4B52dPXj0dqPmL2dxK86EVdp87ErvXjnyyCp1bgsrI74TIrrUfF/1xWDxLcV4nie+3V+s/JvReQwOAldE5OYjLy9PazhXUIaG1zqoNtk4ejJ9Yc0XwyL0OM61DK6cIl5LfN9IgqVJHEo0Zo0Ub4v8sNsn/+OiwQfZ8BJ4IEmjv7wKsjE0BPPw1THliLOh35OzHvGtIR8MEd/SJyj3EsC69IXywizuHDLHnuMdGo4Yn8NAii1+EV2jwygjE4CnXfGttxYBuAwJXmQ5M7F4bu17R68ghm+O4JvKjNU7foyxDuT7moMndoBvahGuPZrSnMa6iO/FN3jSVIb81HgcCPCEu70lTPh6im9N78ixDvH9JM0WvwwqUTtYR8liF85Yc+KbD8G5fg1x5/LOBQImbHfZHkOtHtXbDy+6UZ1xAB6W1nA5lIPy3jENMyi6sHV14dI7e5qZwTYiDfntQxoXAuuMIeL7ZSkOCOwReU/vzCYIglg3O0h8bwKSPhS5KE5Gc6rWMC3+KB/BAiPsskvF9fXq/XWIb84/cZnoazsKG3G0jguzdIV1bvqu48JhPziKeBC4HkRa++uP77SW+G5LgvUq4vvdRf/l4vt2OlwEATjxai31N4v2SB5+cqhJ8aeh35OzPvG9Ih8MEt9PUe6tJvx6cxBg5oGY7kmVkUAp5jtPIsDEFoEta/jWylEIwK/Z+63VL1Hca8fuLVr73tlaHGHi1qtFmSqGxI9DOomh2lyk+NlCzDOFdVQurr9We8aq4pvZUFc+4hxF4Nn5I+pkPkqq6tDcyK6Z6Su+tbzjOsT3o+M2+Dq4DJpcvuUuS/t5rJ7h4Zesk6XJvahPudXgz0PKPrr46MPMU3ReTMEBB3NYBiYhu3FgpR//amxlXbjEh3c2gcgtAkcN9V83RHy/LkOkwE6/WRaCIIgN4ssW3ws3kG66F8Y8zv9TrUWRTeFWvKJB/NqvEA8MaRBV2Ujx3X8WfgIPHHm0OQ3H+7H7qE/zhw0TMJG3lF6zGy2+nxYiSOCAgz1rxIEJpcvePOzJvKv429Dvydmm4puJt8mmDITa2cE9Pg2nz2bjZKwv7CzcEXy5T8OIuCY433137NboMqCOFBMFXtjjlIGWte59UrA8vQ0Vth+Q4G1PBbL9LbHb9QQaVJ2yVxPffXkINjGH85l2PFPNIEPcTjZBfHMzCd/6FCi2rVyBFGN5HnK3kp+HXFopruW2x4lzPsR5A+tzxZCwTs71czjmawMT5zAklrbrJmi3si5UR+WdReZu8Ls8qPxARwwR30/ysV/givj+daU2QRCEQXzh4rsZx4R7YcSzRVi3aoMjw+KNFOyztYENjzsYo3L1xYi6IG/Y0zZGfC9046ytsfwkPU1rAzcE2QzuHLbC1/H1isV+Gy2+JT0ocGQN5sm7mhfFLcHEX4jAEv43lOLK0O/JUYrv9O0mvhmSN3h8ORmBTm7wP5SOs9WdGNB3YVpLImwEq+SRKncz4c53YqJ6NScFFud8bxhbJeLKkqGtW3wrmeG2rjOFV6NK/ijFd/gK8b2A3mRLfBNxdaVw3XDxraGMronCN9/Y+hhqtH136CLCBEbYbcnSUl0fcnGwMcJeoa9ueacT85i8U4Fz0ftgZemBA01jyuta2Mq6UCvcO1cip/qh8m8dMUR8tyfDVhiC7NV2liEIgtgkvnC3k7s4Z6+Yal22P+/zGiQ5+yD9+jmE8I3w04M1eMNdl45icPCNcmRKipk7VSgpqdVtL2DWsPMtj6JSvXE2RPRBgtECH4jFXoi7rbZ9nwo/vBrGc41iWBckeHHKGV9FVika240W3+zaVGkwzEy8kXBfy+LZhSeoCTHFLq8cdH9IHEO/x8GJbz5+kdy+cur/U4pv6Us0RznDNe8uRvQWfirM3UGuIw9G0VV4vNZzpM9RGyzGHp9stGvbNeZxCaLNhTDJfchSTslGiW9l2jnXqLg4cOJbYI79S/7lH5hGS7hAPouxIm+UC2s3SnxrLKO60JUKJ2EATmpzh5JN436yLfhM3AbfVOsy92TBkwnbvYlNmyBsmXh+1oWGXnkNpp111YWfGKU/Ovfuy3a90YpiX/W9Bs1yEARBrJ8vW3xjFvcSLOXTqbvdElHUfgs3L2figJ0dPKue4f2LEhzg7cVu+xgUtDWiNNoZJpFXMShvX9c6ZEeNjhTYCb1w9NGSfJDg3cQ0FgwS34yFx6gNs4SxiTsiLt3G8/mld5BifqQHTWdj4GkViYIZ5WWtLKLvdARizzfg7vjSvoTsGQ+KEW9jBserLxUN7IaLbwZrNNvi7MA390ZsRQ8+boYhwexAPfKDrWBkFYYs9SMMDf0ei+vDZEt863MOdz9kwwzeTLM/PqX4XmhDupklvGtHtfy2rjCh1XUSfiIBzGMK0fBs9qM4kk7jZftVXLmvYhDPa5Fizwff5xgu3h//KLAlU3hWl4VIKz544cW4q5qM+sZvsRsFB47gTOPDj/nE3mW4KAJ25qHIUV0QvNiJ01Y8mOV/3CpROjOBiUWFS42xbRRy+5Q7ZMjmMHWrDGneVjARCOFe+wajtZnIusV+xFDxraWMrjY38IF33C48YnjUreIkNNGGUw48fBdaig/eDpIXaIoww26nI7i8xs4zm8t66sJPjKQfJW7KjkPFOCupazGN9oMi+ayewUf5EwRBrIMvXHwzhq8iwYbzt+RGTliw8kNs7VOFS4OkDyX7lj4TwjS2FLc/jBLqKb4XuVMkzcATWcHJ3Q3O1ibYHX4Fz36YNEx8c8wPoyMjGE4CYxiJreDg6gYXO3OIeEKY+zPB062LmJNh7s5FJHtaQMATwdzRDe7O1kzQWMLp1I2P0/ybIb45pGO4nxcNT1Nj8MTWcHBzg6utmeJdwk/h6jMtG5Ub+j3utEULHvhWznB3c4StiTlrsF9/WvHNfvFN/UkcdLaAqZ0rPANDEB4Vh0MpGcgua8RdvU4nYfl5rxgpHmbgczZr7wJ3F3tYiJiQtvbF4Ztq4nC0kwkpV1jw+BBaO8LNzRn2ZgIYixzgk9WAAfVk1Dd+skkMXDgEPws+e6alIp+suZNJ/XG4TX27yEW8KgqGNZ/lobM73B2tITIPw1lum8OZHlwKsgSf25HH0RWuNqYQ7otD9q1bKPM0Zh0xWzjGl6Cb2wLPUPGtpYxqXESpDotne6QJvj3cuLqge3YdmV7WsAo/gfwLuUjzt4d1eDaqX+qTx5uEwXXhJ4J1wu9eOo/8I35ylxju3fY6hCE5vxhXHqySC28bcczcFPuu67KQmSAIYuMh8c0xMYjO6zW41taDp+qLk7hR5OprqH8wsrqPsS5wC4vaa1FVdR0Nd4YwsUE1v2x6GPdb61BTUYXqhg7ceTmjg+hWgxtJ7LvJ4lqBq7Wt6H61AUdV68PcCB51NKK2qhLVdW249VzHOBjwPdnkILquV6Hiegs6h6c/+dS5dPgGSlPCEeDtA9+QCByMiUNc9AGE+TjBknWs9poHIWNwzdOSlsPyc7K/Cy21Vai81oQbPcOY0KrvZJC87kNX4zVUVSrKweN3GywG58bwuKOB2SjLp9YeDH+vTdFK8G6gA3VVVbjWcgeDqn7v0mm86Kxj5YeVx3vPlNvTSTFzvwHX7r5cf/nkWEcZlTUehrV5NC6utc86i8fzW82ovdaAtoHRzVu3YQgbWReyeL4e6Ed/v36hj9Vfmwez9ZoomFonoFx1OQhBEMQWQuKbID4lQ+WItnFD+LVHGvc6lr1qw1lPEb4+RFPk2x5JP4r3iWBR9PSTd+i2BbNLhwspR9J1DD89rLo96AYjfYqr3iKYnOvTf4CCIAhigyDxTRCfDM6VxRO/jKjAiNbBUsVOGrt8tW1jR2wfZFhsSYK9fSIu67II+7NHih8W5jE/r09YwLxks+bcWP40HIadQxIq6Vh5giA+ISS+CeKToTj5c+++07ipzatENonbCTb4Zdx1HU65JD45snF0H7KFKLWD8mu7MXUTp53s4N+ky6JMgiCIzYPEN0F8SsaakG4vhOn+VOTV3UTPo2G8eP0KL5/24V5jGc6GO0FoHogT/TrtuUFsB6a6cNbNHj51I+R+sl2QjqAj1h5mGZ3UKSII4pND4psgPjWjd1GVdgC+tqYQfPB95YNv5QbfowW49oyE945jqAIJLl6I7ZwgAf6pkU6g94QXLGMqMLANNpUhCIIg8U0Q2wYZpLNTmBgbx8TMPIm2HY50ZhyvJ1T2Wic+DdJZTI6MY5qEN0EQ2wQS3wRBEARBEASxRZD43u705SPINgr5Eyqr8zVd2y7IJvHgpD+ck+vwVN8hP0k/yn1t4FkzrrxA6MVUHxpPxyHE3RF2ju7wjs3Exftqbg+S57hx2BOuObe3zvd1p+Xr52SH27muIAiC+EIh8b3deXAanqJgnB5XaTw1XdsWLODVhSBYBhXgtiFuyppOjCR04/l1pDoJ5ac+nrx0DfW15Tif4AUrsSMCqp8t39N4thclvnZwuTy0NXsd77R8/ZzscNvWFQRBEF8uJL63OztIfEvvnIK3/UEUvDJwSPWzED2LGClJRlrvFnr6zvbg/D4h9gYX4Nasqk3MY7QsHLZiLxx5oNYbGr6CGDtvdn0Lzlck8f3pkMxgfHQSM7S3HkEQxLaBxPd2Z6eI77n7TABawOnKc8MXmH0Oome+GcdMbXHgzlaJbykmLvhBZBqMUy80dHqkr9EUboJvgkowsOxj9r3iIAh9zqJbz5Pr9YbEN0EQBEF8gMT3dmdHiG8pJosCwXPPQsd6/Bg+B9EzV48k4RaKb+kASvYZY1dKG6aVl1bQcQxOgn04Mqj2TvP3kOdsAvvLLzZ3Rw4S3wRBEATxARLf253NEN8zQ7hTWYicE8dxLD0XRXdHPvr+St5gqLcHPfcH8XJOeW0t5rqRYy+Gw5XX6xNxJL7150UJIviWCGxfxcl+/iayrPiwLH6mvLCEFNMlrNPknI7mzRz9JvFNEARBEB/YIeJbhrl7RUjytIKJiTUc44twc3qjRn0XMNFZgqzYUPj7+WN/3Amca32K6aUpeukobiT6YH/lC0ilE3hUmY3kA0Hw8wtCaEo+qoe+/3hU8cIIei9lIDE8EL4BYYg6dRkd45pF2A+v76I+PxUJ7F4/X38ExaYi58Yw3ik//8CGiu9FvGlIR7AlD0YmjvCLTcSRcDdYCuwR2PKGpbIM81WRsOQZY5ddEq680+3575sSYGN6AHmTq90vxVxfPUrS4hEZ5Acf/xAcSMlBUcdTTC0l4BqiR/bqNq6dTUF8GEszvwAEHUzCiUttGPhey+8uvEJPSToOh/nDzz8UB9OLcG1o9mN+qbA41IbLGYfk7+bH3i0iOQfF90ah07rRoUtI9PKAp6cnPD0cWPoJYOas/NvTG76Xnqh1SpjN3bqKgpRYRAT6MVsJQXhSFgrbh/BWX3f5G0dgJQzFmdXSXjaFljA+/uZwk/KCCmOViBdbYn+7mu/3YDHivLwQeFVdsK9E9rILV9NZXPxZXELjcLS4Bf2qvuer5quOaTF0GYkBx3F5Sls85/EoJwIxLVMa85fjfUcW9oflo22t2ZlV33cWIzeKcfpQBIL92PuGRCHhbAU6xjRtIj2PyTvVuJgahwMsbj7MBiPTLqBW06FJrSfgeeAibnOGIpvFq8ZzOM7qGf/wJJxqGVLUC1NNOOV7EKefsoSZeYT2/OOICw2Q22vksQJUPppZGffHpYjzTUHph/pShh8ajsEjuhQ9svdYGGxA0fFohAdwcYlBQmED7msr97PPcLvsNI5Fh2K/r7fSvpeCN3zKHitvJAiCIFZjZ4hv1uikWRopT/7jAg+7Ehqxfq+LBbwqCoaN2B7eKWdQWFyEwrRYBFqbwDitA2+5W6QvUOMngHl+G5rjHGHmGY3jeRdRUpCJIx5mMDIPRCp39PdML66E2MI88AgyC4pQmpuKKAcR9jjEo+S1qoqQQdKSDFdTCzhEHMXJgmKUlhTgTJw3rAXmsC8ZXC74Nkx8SzFVEwtnvhH2uB5B6XOlApFN485hK3zjdQ49i09Q7mUMI749AprfaBUxy5nDvQQz/CKiAq+1vQ77jSd5IbAXmMA6NInFuQglF84iKykCXtb7cKhPKU21ip45vK5IgKeYD7FXFJJzzqO45CIKMuIRZCOAkcMBZPa+Xf6+C4OoDrYA3z4ICdz9ReeQGeMLO1NHRHSqCs0FjFclwEMkhlXoUZwqLEFZUR5Ox/rCVsjyI7MNz9cSxJMP0HSlHOXl5bhcmowAvhk8My/J/y4vv4KKB5Mf323uCZoOu8BUYAnn6FRkn2f5f/EcsuL84CAUwiTyAjrf6pqvMiyUB8PYNhXXVz1ARIJHx23wi6AS5d8qyMbRGCLAL5Pblnf8erLgyePDpGBQeUELA8WIshTBIjgZWSwuJedOIMHHGgLHVFxbSmZt+apPWkifodKf2U/pM82zK+9akG5pjK8PVOCFpuSTjaEl3AT80z1rd6i0ve/CMFoOO0PEdVyTs5FfUoqSPNbZ9rEC39wX8e1jH9+N2fy9ZHuYWLghKDkLecWlKGN1RpKXBYzNg5D5WC3Dqg/A2CkDrQvjuHfCG3Z+icgqKMTZOA9YMnuyKX4E6UQFYoUuONrSgFOuZrDYn4j0PFbXXMhBRogDxGJ3RHZMLC8HK+oKVv9cCcFe9yy01h+Hl7kdvI5kIreoBMU5xxDJ6qy9+1jeqW9N+KoBmS4iCN0ikcL95sWzSA91ggnXcT/D2foVVD6YUN5MEARBrMbOEN9dqXDmqYpvY+xySEOdxlZYDyauIdHUFkE31EbL5p6hra1fIUbk4psHM3tnOKU2Y1j1N+cfoXK/CXb5Z6H8iDvsTnViTLXNmujAaScevj3coNJRkGGxtxnXV4zAzmH4pAsT62rx2ijx/awc0WbG2Cv2Rcqg2tBfbTTEwhAUVB1j6cwDL7l1eTxWQ3IfhSyOFuefanE5kWLiUiisxG4Ib3jBYqnGwgyml9SQRtEjxUxtLJz41nC/2IPx5YkGzD5CQ6wDEz8hOD209AZMYFQfhIl9EirURkp/GG5D48DHt5B2pbO0tIN/pXJ08QNSfN+eBm/WYbAtear7lnyruZ1IR3Az1gZGNmE4dX96RXr9MHgVyY4C7AkthW6bpUgxWeiNPe7Z6Fr1fgleZbviO9bBWokUb855YbdrFjpUn/HsOs4kJOB4y4jyggZkk2iLZB3Voy1q9jKH0Rs3cGe1fNU7LVi54fLU/TRuruhosPyuiYK5uTnMRPtxUtNuO4/zsd/EH+lr9qQYGu3wHQZOOINnH4fCITX5Ln2D3lRX8E33I2OpgpDNYLC5Bf3qszJz91Hgyuqv9O7lNiUX38dxOS8MLmmtePEhQSSYulmF69yFN0x8801gY78PARWPl9urbAoPU52x1+HYx04PhxbxzTezhc0+FpfHanGZ7ESOCx97jisHHzhYx6U10hRGoRdwV/XZLI5D5wJg5p+P2zoXEIIgCGJniO/hIoQLlovvrwOL0K9DO7oq/WfhKwrH2dVcWJTie1dQEe5rGl3sToMrz5iJhDL0qysI1tB9Xx4MoXk8SnTxn247ChtxNC6o+t9uiPh+h54kawiM1RrVJdqSYM03h62tGLudWOOt88grY6IScQIzBLZraX3lsxZCWBQOrBTe6mgSPW/bcNKaB2FGN6a05ff8AMp9BPgushLP5PdI8PqMG746ULF6J0L6DNV+Auw+2qrlwJlZ9CbbYI/9cdTq6hO9iviWtR6Bg8AFB2+/Y5JXC/35CBaZwaV6VEtnRhUpxnI9sNszV+GuoBUpXufuw659Ocq/1WhNhCUrB7n6unJJBlDiJoBzlcrIviY05KtBaTF7E1m2NgjqmJV//AEm5OuDRTDJrcclZgdm59XdfObx6Lg9vou5pn12RhVNdjhcjHCRDfa3qc2wLDHbwd6N1ROpnVBz4FFjEb1JFvhZbN1y8czEt1BoAvHBK1BfF/sBufhmZSnvgVpHUckI62ALLRHUqVIWtYhvgdgHR/s0zQHIMFcWBL51MqqX6ruJKhwSOyK6V0MFuHgPeU4W8GtVyxOCIAhCKztDfMtm8CRvP+z4CuG91yoIqT2rNNq6MtuGTGsRrNJb8FTbyI3S7cRkRYOuZPY6E1tCeDZpasgYfTnwEfohVZcRt85jsGfi+7yqSt0I8T1ZiySTvTDiuyL2oYZY1MfCjKWrEd8ZBzq1iAttcPETeCD5sZb41cXC3OQA8nQRdhpEz3vu++IwZI+vnn7vG+JhJQrCqVHlfa1JsDfxQEzrK+2i/2UpIvkmcM+uRUNDg8bQcioAYoEnjjzSIf84tIrvGXTFmODr8MtruLHM4FacGb4OKcPwmj+pHPl2ycQNbYJNjgTPTjrhG98C5d9qDJ5DgMAdh7WqPm3MoueIFYy8TqD61SpDnyvy1dC04Ebw3fDdwarlriVPzyPYxA8nnv+AmdL94O07s3wmYLIeKRa2COteXRZ/YMX7SvGuOAB80yAcv96o0U4aGmqR7y/EN16sI7RqnBYxkGLFxPf15Z1gJr4FZmE4s9oe+Zz4Frp8dNNSR9KLQie1ToMW8b3XPRud2rK75xT2qX5n6DxCxFrqG9k4GoKFMC8a1qGzSBAEQXDskAWXHFLMDvegs7MHj95qGoI2BBlm208hxIIHnkMIEoqb0Tut9uy1xPdiBzLNRfBq1iI+npcgXOSFZG6RlBqyN31oL8tBenw49nu6wtFSDGNhzMaLb06YMnEtd9VZkXRSvL3oB6ExH7y0m/ofOX47Hc6iQJxc5te+BBNLp13xrXce7ury3BWiR4IXWc5yd4k1vz96BTF8cwQv+SQwUdCT6QtrvhgWocdxrmUQb9Tjzjo7DgJXROTmIy8vT2s4V1CGBo3x04A28c3idtGZB3H+4BoiRYZ5zo/bMhmVa6oZGaQVYeCZHUbZqiPzc0zEivGzAxXKv9VgnZADAntE3jNAPo11IN/XHDyxA3xTi3Dt0dRKFx31fF1PWrwow0EzXxz70DOR4CWzse/CryhmPd7UIMHUAQfvLb2FFNNMOBtxoljX6K2wQ4Vg3uUehxwN9qEazpV1YHlRX8Tbh024msMtrg6Al6s9rMV8/G8N4pvz+W5Z7R3XEt9Sbs2GANalL5QXGIaI78f5CBQFIGOpIzDbgjTWeQldtlZCyVw3su3EcK+dZilNEARB6MIOEt+byEQ/mnMPI9hWCCNTFwSca8MH9+E1xfdNZFqsIr5fliBCXXxLx/Eg7wDcREJYBMQjNb8MFXVNaM8Lh6Voo0e+OXHiAgET3z87ULnSDUPyGOXePBjxbBF+y4BOTXcqnET7P444L0OCJ2m2+Hp/MbQNjC9Dg/h+kmbHvl+09vdna3GEL4RXi2o+sA5b33VcOOwHRxEPAteDSGt//VEcKt18lqX3etEqvu/inD0P1iU67KldHQm+OB6lumQH6/y4CLyQMrRKAkkfocyDhz2Zd5UX1HhdhkiBnWY/dV2QTmKoNhcpfrYQ80xhHZWL669VnrVCfK8jLWRT6IqxAJ/FRZ5tC3dw1sEMHnVL6za40XIL7D6mdK+SPMAFVzGc9NkGU4P4VriKqAnmtRjrRlmEA8QiO3geykBuWRWuNzWiNMwMP9kU8f2UleUNEN9P8hGkKr4xj2dnPCDwykDDpIqdsXx/mOEJoV3iKrvQEARBEOqQ+FZFMo7BijSEWgogSO/CJHdtw8X3Il6e84GJRSCOdowsd4nYFLeTBdw9bAJuh5ivmCBZ7hzDGuKGQ7DjXHkEqqOJevAgG15axR/ne+2O3W5qi/m0sUL0SDFR4IU9a4kSjicFCBI44GCP5hvfj91HfZo/bJh4ibyl9JjtPws/gQeOPNLl5XREm/iWDuGKl0IAa7EUJVK8ydcxzhzvGnHMVAD7KyPaxaV8L3Az+LRo8ctlYmu/wBXxKxct6IkEb3sqkO1vid2uJ9Cw5Jisnq/rTYuuNDjbHEY5tzah9QhsbBJxRXVQtj0Z9lbxKJt9j/ctR2BrrbxXVzTYIWfH33nlQuf+yWI/LvmIwNufjboR1VhqdzvZvuKbIXmJ7nR/2Nv7IupENnKz05DoYwPxvkPI69fRnYcgCIKQQ+J7BTLImhJgZx6LYq5N2WjxvdCBLCsxnCo1LKjbJPF9O0YgF9/fpnUuF9+T7TjlYg1bSx72CiP0X3DHMca5e1gitEvLMG1LImzWGpldYoXoYdzNhDvfiYlqLT71cjiR5g1jKzURpo5sRr6t4tfx9YrTIBe6cdbWGILs+2ssktMDpfgOX6HSJBjKcMAulwy0rhqVp7jsw8M3R1q0n1i5jBncijfHN36FeKAxiSV4ddYdxtYsbTSu0mMwsWorDEH2GwPyXxMzLThhbQqvRqXYX5Gv60wL6SNc8jKB05UBtMeYwehE9/L8W+xBnpMpPK4NoDHMBLyse2sv9lVFkx12psKJ74q4BzquvG1jaWoahtwx9UzZoeKb8X68F7XJvnBwD0ZURgHKu55ignxNCIIg9IbEtybkDVaEYpHgRovvqSocFtprHKFVLBrceLcTznWDczv5uepe3JIXaI1xgm3OdRQzgbNXGImCGe4DKSYGBqGrizMkt5iA5cGqTIsLwdwd5DryYBRdhcfaGvslNIke6XPUBouxxycb7doO/3hcgmhzIUxyH64hsiR4ccoZX0VWKd1vJBgt8IFY7IW429p9Vn94NYznunrkcOJbYI79K/fDA55dQpSpGJZn7mnZuWUBo8UhsBR5IqF/9THhZfTlIlBoBY9aDR2651cQZyaCecGAllFmKWaK/LHX4QTqVb88dhe1JSW48kA+/6Mfynx0rlHugqIpX9eVFlLMXg6FiZMb9oldNYhRKUZy3MF3dYOryBdp+s7oaHpfyWNc8RVgj3cmmrR2Uucx8mxE3sGVXQ3XIqYVi0h3ltsJ40UVElyCcPzexBqzFQRBEMRafNniu/M0wpIKUd039lG0TT9EVYQ1dodfxhOu7dlo8c1tz7aPB0F0GW4vHeE3N4KHZUcQYCUCXxiFCxPP0Jp5XrE4ct3im9GSCHtjIyawXRFxuR23W6/gbLAdRNEVGFx8hRp/bqcTOwSUtqEtPxqu9geQ90JXwfJOvnPFV7G1eKO8shwZFrtOwk8kgHlMIRqezX5MR+k0XrZfxZX7ctWvWfRwPK9Fij0ffJ9juHh//GNeSabwrC4LkVZ88MKLcffDKOoi+k5HIPZ8A+6OL41USjH/oBjxNmZwvPry4zssPEZtmCWMTdwRcek2ns8vxZvdP9KDprMx8LRa6pjowGInTlvxYJb/cWtF6cwEJuTmIcVkTTxcBWZwOH4VXeMfbUY2NYi2rGDYCazgWjKgeSs5rczhZb4/zE09EVM3pDydlTtRtBInXIQwCrqAu1oHbKfRflAknw1YJrN1OWRnsRsFB47gTONDfNjshOXpcFEE7MxDkbPUg9OYr+tMi7ct8oO3vvYr0DziL9+e1BjfRtfglY7F5APa7PBRGWJZ3hrvS0T+7RHMfjCVWUzeu4YLMW7YG1WjKAf9Z+EvsIHPpT7l6DATva9vo/qIN2zFAvyEvdfk0HWcuNjNfbj9xXdLAsysY3FhdLUXJAiCIHThyxbfE3dx5ZAnrAVMDFs6ws3NWd4wCgIycW1pAeGG+3yzxu9ePhOMPPDEVnBwdYadqTls4y/gVnc+AvkCmNp6Iqi0V7HzyEaIb+kzNEZayUe/ua0ajZiocU67BsU2vxK8yHGHSPnZXqcY5PTps40ji0/NQZhaHkKZ1q1+ZZi7V4wUDzPwjYUwtXeBu4s9LERMNFv74vBN5RigNtHDMdqJ0mhXWDBBKLRW5JW9mQDGIgf4ZDVgYJm4ZL935yKSPS0g4Ilg7ugGd2drmAgs4XTqhnIvcBXmh9GREQwnJtaM5HniBhc7c4h4Qpj7M3HZParHaN+i/NRUaz77XWd3uDtaQ2QehrMfFqRKMXMzHwmupuDxxbCUv5stLJgNGjuGIalx2DAXGNkUHp8/CHcRj6WPE1wdLCFmzzeLuoCO1dyJ3jbimLkp9l1XO2hKF/Etm8TAhUPws+CzfLCEg5sbXK3FMLb0x+E2lVF4rfm6nrRYxNMMdziWq3SkVJGOoj7MSfMOHWuxih3KhhoUHVdjls5WjnBlduhgLoSx0BZuSRfRvCRO5dujBsGOz+yV3efmbAMTc3eEMLH9MNcTAqE5LDzjcOaB0va3u/hefM7KSCjcLc1h4+qNgJAIHIxLwNGMXFxsegjV9bUEQRDE6pDbCWuMFsf60d1QjYrKWjTef4mlAelNZfopbtdXofJaM7qezygEhPQNBhrq0fFqdecJg+B2pGirRXVdG269VBPXklH0sXepaunFi9V8cLXxthlplqYqO05oQTaHyf4utNRy8W7CjZ5hTOjqziGHGz3sQ1fjNVRV1uBaWw8ev1vlAez3pvpuoqm6AldrW9H9Sv1U0eXIpodxv7UONRVVqG7owJ2XMwZOsUvwbqADdVVVuNZyB4NvNfwqe7c3D2+i+VoVKmrq0NzzDOq7XBqCbOoJ7jbXorKmATcevVnj/bmOUxRMrRNQvp4zUubG8LijgaVbJapbezD8vZ4FaJPSYvOQYHboLtrqqnG16hqud/RiSKMdSvH9ky40Mjuoar7LbFVpB+O9aGy4A/WDMrcvcxhtLUR6uB+8ffwRHBGF6LhYxBwIgb+TOYSsI7I3+ALu6OgOTxAE8aVD4pvYALjDT9yxx/+ClkV/xLZE+hRXvUUwOddnYCeD+PyR4s2lUFi6J6H00TsNswwLmLqRjkCxGXwa9XOWIgiC+FIh8U1sDJM3kGFni8CWNUa/iW2CDIsNh2HnkIRKQ3a5Ib4MOFcWLyEcqya0l2v5KZeKY/0JgiCItSHxTWwQMnxffwh2LsdRq8+eysSnYeomTjvZwb9pnDpLhHaUa16EZ3q1+99PNOOErSk865ft30IQBEFogcQ3sXHIptF3whXi+FoYcl4PsUVIR9ARaw+zjE7Fol6C0ArrVDckwkVkg31pF1F9sxeDwy/x+tULDPfdwo3STMQ4iWC0vxDdO8aHnSAI4tNC4pvYWCTDaIpyhs3JDt33Cie2DukEek94wTKmAgPbelEjsX2Q4O2dMpw64AkHU758VyT5rkl8EczcghFb2IJBEt4EQRA6Q+Kb2HgkM3gzMoEZ8mfYfnB7Uo+Mb/PdRIhti0yC76feYGx8Em/nqYATBEEYwhcuviV4mecLQUyV8m9iXcgm8eCkP5yT6/BU331/+/IRZBuF/AnyFzcY6VNU7LeGY/FT5QU1nl3DMa/9SLr7dmP9vCd6UZt+EIGu9rB1cId3TAYubxe/I0k/yn1t4Fkzrrywg6EyQhAE8VnwxYtv7rjxX4aWK/8mDGcBry4EwTKoALcNmYLW9+AgYiXSQZR5rH4wjvR+LoLsw5AztEGnoky047SLEEL/ZJytrENzwzVczT+Ni33bZGh9tYObdhpURgiCID4LSHyT+N4QpHdOwdv+IApUT8XTh89BWCw+RmVKPto/1Wl/OohvzuYnysNg6ZuDmwYdpamKBM8ynbDb7SRurPtZa7GIkZJkpPXqmbifk/iWzGB8dJLcuQiCIHY4JL5JfK+fufs4v88CTleeaz7qWxc+B/HdEAex/QnUb2vxzZAOoybIDObnHhp2lP0S0iFc8eJDcK5/8w/pmW/GMVNbHLjzBYtvgiAI4rOAxDeJ73UixWRRIHjuWehYjwL7HMR37UHwHHaA+Oa4cxL7TIORbehMBYekBwWOAjhXTW7+XuFz9UgSkvgmCIIgdj4kvr8o8S3F/NNO1BZmI/34cRzPvYr20Y++ue/Hn+BBTw/uDeohVOa6kWMvhsOV14aPenOQ+F4/+ohv6QvUBghhlHHH8NFvJr7zmfh2uTatvLCJkPgmCIIgPhN2iPiWYe5eEZI8rWBiYg3H+CLc3JAjsbWI7/kRPKzOR0Z8OPb7+cI3NBZHLrZq2Mt2FvdO+MCzSDntPvsUHeeSEBUUiKCj+agZVvmCbBaj7WXITYpGWKAvfDw94akSXKNL0aM6CDk7jO7iDByJCIKfnz/2RyXjZOVdvDB0Hdvic3Se8IUtnweB435EJx5GlKsZ9jgk4soblpaycdw4YAKeMQ+7j7Yov7Q275sSYGN6AHmTq+WHFHN99ShJi0dkkB98/ENwICUHRR1PMbU0ZLqq+F7AxK2rKEiJRUSgH3wDQhCelIXC9iG81TJwK3vZhavp7H5/dn9oHI4Wt6B/VtOzZzFyoxinD0Ug2I/dGxKFhLMV6BjTJaGleFMW8yEvvRzMYSywhKOH4m8P72hkP1V/Qf3jojP6iG9WpuavhkNknYSKZepbitdFkfD2jse551pe6F0rsr09WBydYSPkQWy/Tx5fp5xbH9xPfnh9F/X5qUgID4Sfrz+CYlORc2MY75Sfq6I1r4YuIdGL+x2Wnh4OsOQJYOas/NvTG76Xnqzd4VtVfOuT9/OYvFONi6lxOMDyzcc/FJFpF1D7TL1S0KVOkOGHhmPwkJf591gYbEDR8WiEB3DvEIOEwgbcf6fBVh+XIs43BaVLdZ9sGl3HfOBT9hhS2QyeN7A6KzoUgVx9EXMM2Y2DmNJmU7PPcLvsNI6x+/f7eivTdCl4y59JEARBbA47Q3xPNSHN0ujD4Q7GTCDuSmjE+gdJNYjvqRs45SCG2D0cCVkFKCotwYXMeARY8LE3uAj3lrXL79B2QIA9mXfxw2gbcrwd4H4kGwWFWUjyMIORWSAynjB5IH2NzqMuEJu5IuTEORSVXER+ShjcRUwoHcxGaXk5LtX1YkQZn/dDNUh1FjGRHILDZwpRUlqEwow47LcSgOd3ErVjeqo06Uu0xdpAaCyEaVItBpcU0lQLTlgz8ZTPxNpgPoL4RtjtkIDLnBjXiTncSzDDLyIq8FrbV5hAeJIXAnuBCaxDk3CyoAglF84iKykCXtb7cKhPKZ+0ie+5J2g67AJTJmqdo1ORfb4YpRfPISvODw5CIUwiL6BT/Tj7gWJEWYpgEZyMLHZ/ybkTSPCxZumZimuqQnNhGC2HnSEycYRfcjbyS0pRkpeBRB8r8M19Ed8+toa4Y53C3jpcZflXzkLFUU8Ymwfj2KXL8r8vXalD95TKuxkSF33QS3wzxq4iVmiBoA5VAalYRMkTeCH5sRY7WxxC9+VLuFyWhWhWLmyPFrH4XkZZ90uWXjJIWpLhamoBh4ijLL9ZHEsKcCbOG9YCc9iXDDIZq8IqeVX/6iGarijS9nJpMgL4ZvDMvCT/u7z8Cioe6ODuok1865P3zIbvJdvDxMINQclZyCsuRVlBJpK8LFh+ByHzsWqloEudsAjJlRDsdc9Ca/1xeJnbwetIJnKLSlCccwyRDiLs3cdsVX1LQfUyIptAU4gAwtMt6Eh2hZl9IOJP5bH65QLyUkLhIhLBLK1tZdl81YBMFxGEbpFIyStiNngW6aFOMBHYI/AMl75XUPlgQnkzQRAEsdHsDPHdlQpnnqr4NsYuhzTUrTnstRYaxPfMAzS3Pl05CtlzCt58O0TcVv1RRUPLS72EkhBfHGwb+7jwTDKC21WtePTDe8xVRsLcIgQZg6rKj4mU+3kIs/HFsQ9qmPHuFnK5rdviK9CnPqg23oEzrnzsCirCQ53jLsVUWQgseSzN/PJwW+WnuFG6m1ECfBV6AY1HbcHnOyC4bWptQbOE5D4KnXiwOP9Ui0iVYuJSKKzEbghveMGkuhoLM5heiqMm8S0dwU3WaTCyCcOp+9MrfuOHwatIdmRCJ7QUHzbBkE2iLdIExkdbMLZMdMxh9MYN3PmQpu8wcMIZPPs4FA6pJbT0DXpTXcE33Y+MYZ0TenW3E0Pioi/6im/pU5R782Cc3auyYFKKN7WZSEw8g8rRNTp5Gt1OZFjsbcb1oVk1O5rD8EkX7FEttzrnFWND3U70zHvZDAabW9D/vZqKnbuPAldWrtK7VdJPtzqBE998M1vY7GPv8FjtHSY7kePCx57jHXirvCRHo/jmwcTWHnbxV3F/2WNkWOhIg5fADqGdKvWObAytkaYwYmX+7rLqaAZD5wJg5p+vVkcQBEEQG83OEN/DRQgXLBffXwcWoV/PAeCV6OHzvXgTpyyF2NegKiG5hpYHgYk93CueqzTAKjCB0RIuglFWz/IRPzmLeJruiG8Tm6GQL1JMXvQD3zYJldpGQNuS4cS3RVj3gvLCGrxrQ6YNdxS0/fJGWM4iHhwxg7G5LRzETDAcb8cbfdJ0ohJxAjMEtmtpreUzFkJYFA6sFN7qaBDfstYjcBC44ODtd9o7BP35CBaZwaV6VCFoJQMocdNhEeBwMcJFNtjfpuXAmdkOZNnysCu1U3ef6FXEt0Fx0Rd9xTcWcD/BFH9zoFJN/OqIvj7fbUdhI47GhSXT1TWvODZSfG9Y3i+iN8kCP4utYzXBEjrUCVzHm4lvgdgHR1f0sDlkmCsLAt86GdWqg+paxPcu31x0aXzMKOqCBPgmpUN5gTFRhUNiR0T3anCtWbyHPCcL+LXOKi8QBEEQm8HOEN+yGTzJ2w87vkJ477UKQmrPKiJGZ/QR393IthbCo161YeIaWj6+Cy+Hthl6blu3q75CeeO/8n1lWCgPxm7/C4qOhPQVrgXwsDv4NK41NKBBQ2iqzWLCgQ9x3oAOAk2GH2qiYMHS7Fu3LHSs+MI8umOE8jT9ziUVtfq6PPTlwEfgod09oS4W5iYHkKeLf/4K8T2DrhgTfB1+GdpcjxXM4FacGb4OKYPiUMVZ9ByxgpHXCVS/0jaEJ8W74gDwTYNw/HqjxnRuaKhFvr8Q33jl4vaqv6+CVvFtaFz0RG/xLcVo7j7s8sjBsgkdXdFXfHcegz0T3+c/9MR0ySslGya+NzLvFzGQYsXE93WVEWod6gSl+N7rno1ObdHpOYV96jNBGsW3APycB1pEvgTPTjour9+GziNErPbcJWTjaAgWwrxo2LDOH0EQBKETO2TBJYcUs8M96OzswaO3mhZEGcIq4nvxDZ40lSE/NR4HAjzhbm8JE74m8a3w79QuHWZx55D5yilkOXOs8bbFL6JrFCPOTOCfsTaGTfxZ5OXlrRIKUHjzlQ4N5CwTcyZMXPPlU+MrBsekL1Dtx42KOyGiy4Ajx2+nw1kUiJOvNakMCV6ddsW33nm4q4uQVBcWTDRddFb4o68eTxnmWQfG2DIZlUs3jnUg39ccPLEDfFOLcO3RlFr+KETTLvc45GhM34/hXFkHVqyZ1IY28b2euOiDAeKbE6JGjuloMuT31hDfsjd9aC/LQTq3cNnTFY6WYhgLY1TEN2PNvFKyYeJ7PXm/iLcPm3A1h1tIGgAvV3tYi/n43yvE91p1gg7i+3E+AkUByFDdClJv8S3FeJ4nvt1frPybMduCNAtbDbNgjLluZNuJ4V47rX9dQBAEQejMDhLfm4Em8c0ESVc+4hxF4Nn5I+pkPkqq6tDcyK6ZGSK+Gb05CDDzQEz3pIr4kmK+8yQCTGwR2KL0s1a6tiz/jXUg6UORC+euI4RTtYap/Uf5CBYYYZddKq4b0p/pToWTaD9OafQNluBJmi2+Zg2/9hFAFVaI77s4Z8+DdcmLtTsZ1ZHgi+NRqhoH6SSGanOR4mcLMc8U1lG5uP566UlL7gKqomkD0Cq+1xkXXTFAfH9fHAhjbX7qa6FNfEvH8SDvANxEQlgExCM1vwwVdU1ozwuHpUh15FvJqnmlZAPFt0F5P9aNsggHiEV28DyUgdyyKlxvakRpmBl+shni+0k+gjZAfL8557VcfLMu+LMzHhB4ZaBhUuXZLA8eZnhCaJeIy6qLhAmCIIgNh8S3uvjuy0OwiTmcz7TjmWqLptXtRAfxzX5nsikDoXZ2cI9Pw+mz2TgZ6ws7C3cEX+772HBLB1Cyjyd3KVn9eTqycAPppnthzLNEUKeampNN4Va8BXic/7xfIR7oIpDVeZANL4EXUoY0i+/XZ9yxW6O7iwbUhYX89ESeDmnLBEa+F/Y4ZaBF4+9I8LanAtn+ltjtegINcudcqfzdvvPKhb5ablW0ie8Ni8saGCC+35zzxC4mArsM+T2N4nsRL8/5wMQiEEc7Rpb7+q9wO1FHU14p2UC3E73zfrEfl3xYZ3x/NupGllUKWtxOtrP4ZkheojvdH/b2vog6kY3c7DQk+thAvO8Q8vp1XuFAEARBGAiJ72XiewG9yZb4JuIqnqnryXWJb4bkDR5fTkagkxv8D6XjbHUnBt6qj0UvoD/VBt9xp0XquJ5yVRaacUy4F0Y8boGmqviWYfFGCvbZ2sCGZ4yfGbrgbuwKYviWCO3SMkzbkggbreJcDXVhwfJmKMMBu1wy0KppMdkS0qe47MPDN0dalItWtTDDbatoCq9GZf51psKJ74q4BxuR0Erk4jtNwyjyBsdFG3qL70U8OGqBvwm7jBeG5L8m8b3QgSwrMZwqNSwaXVN8K1HPKw6l+A5ft/hm6Jv3bcmwNQ1D7ootPneo+Ga8H+9FbbIvHNyDEZVRgPKup5ggXxOCIIgtgcT3MvE9jZZwLQ3n2yYcNxcYJr6lL9Ec5QzXvLsYWUs7PCpEqEgEq1Pd2vcxn3+NoWUjcFqQuzso3E4cq96wpljJ8xokOfsg/fo5hPCN8NODNXjDXZeOYnDwzdquEUtIbuGsLQ9WZVrcKebuINeRB6PoKjxe66ErxDfj2SVEmYpheeaelsNCFjBaHAJLkScS+tdID6UIc65Rut9IHuOKL8s770w0aV0QOo+RZyMadqnRAhPffMujmv21NzIu2tBXfDO7rPHnYVfGx8NxOME2c6cKJSW1y/co14Qm8T1VhcNCexzsWZkI7xviYaXJ7UQd9bzi4MS3wBz7b+rpj6NJfOuZ97Kr4TDWOBuhWCC7s9xOGC+qkOAShOP3JlavtwiCIIhNgcT3MvGtcJUwto1Cbt9bhaCUzWHqVhnSvK1gIhDCvfYNRmszkXWLa7Z0FN8LbUg3s4R37agOjd0CRkrDYMc3gfWRMtwYmf8gQN7PjqD/2lkkulnCtVaXsdFZ3EuwlLuW7HZLRFH7Ldy8nIkDdnbwrHqG9y9KcIC3F7vtY1DQ1ojSaGeYRF7FoEZxqIl38l08voqtVYj3Fciw2HUSfiIBzGMK0fBs9qNIl07jZftVXLk/o/hbk/hmMZ+siYerwAwOx6+ia/xj6smmBtGWFQw7gRVcSwbYmyhZ7EbBgSM40/gQHzbQYL81XBQBO/NQ5KguDn1UhlgrHoz3JSL/9ghmlz6SzmLy3jVciHHD3ihlx0QXOlJgJ/TC0UdLPyzBu4lppXg3IC76oq/4nqpFkpgbYVb9RR0O2VlCk/jmtg/cx4Mgugy3lzbLnxvBw7IjCLASgS+MwoWJZ2jNPI+m2du659ViJ06zvDLL/7htpXRmAhMfk1EzmsQ3hz55338W/gIb+FzqU44OM/H8+jaqj3jDVizAT6JrMDl0HScudrPPdoD4bkmAmXUsLoxq+3GCIAhiMyHxre7zPdODS0GW4PPFsHB0hauNKYT74pB96xbKPI3BN7eFY3wJuuXb8ukovtmnb+pP4qCzBUztXOEZGILwqDgcSslAdlkj7r5RH82bxyi7P9JOAGOe4j3cne1gKWRiwdYPUUVdeK5ruzl8FQk27HtMgMuDlR9ia58qBJ6kTy6UFJ8JYRpbituajrXWChMRNQdhankIZaoTAsuQYe5eMVI8zMDnfsPeBe4u9rAQ8cGz9sXhm8oxQ43im0OKmZv5SHA1BY/liaWjG0sLW1gI2Hs7hiGpcXj5XsyySQxcOAQ/Cz6MRZZwcHODq7UYxpb+ONy20hVCNtSAs8F2EBnzILRyhKubMxzMhTAW2sIt6SKa9REoi4OoDjYDT2QFJ3c3OFubYHf4FZVtA/WMi77oKb7f18fB0jwa55eN/q5TfHM2cS8fkUzY8sRWcHB1hp2pOWzjL+BWdz4C+QKY2noiqLQXEz9M6ZFXi3hVFAxrvgjmzu5wd7SGyDwMZ9c8CEiL+GbonPfyrU6DWIeYL7/PzdkGJubuCGFi+2GuJwRCc1h4xuHMA86Wd4D4XnyOjoxQuFuaw8bVGwEhETgYl4CjGbm42PQQ6mtdCYIgiI3lCxffWpBO40VnHaqqrqH+3jNMyUe7mHC634Brd1/qPTIpHb6B0pRwBHj7wJdr6GLiEBd9AGE+TrAUGGOveRAyBjX4n0qm8fJOK+qrK1B5rQGtvS8wreesu5yJQXRer8G1th48/TDEp2SkB03VLJ4PRvSOl5y3zUizNIVH3RonY8rmMNnfhZbaKhaXJtzoGcaEPnFh33/z8Caar1WhoqYOzT3PVk+LuTE87mhATUUlqlt7MPz9aiJNgtmhu2irq8ZVlufXO3ox9M6QhGZIJjHUXsts5zoa7gxp9qPVNy6bAeuktB80wa7EJkwqL20o009xu57L62Z0PZ9RCGnpGww01KPjlZrfic55JcG7gQ7UVVXhWssdDK5YM2EIuua9FN8/6UIj++2q5rt4/E752+O9aGy4A/WDMrcvcxhtLUR6uB+8ffwRHBGF6LhYxBwIgb+TOYSsI7I3+ALubOBSCIIgCGI5JL43m6FyRNu4IfzaI6WIX47sVRvOeorw9aH6zRFBm44Er7Ldscf/gmE7phCfhifnEWzigcQBGub8cpDizaVQWLonofTRuxWzQJzL29SNdASKzeCzzBWJIAiC2EhIfG8q3LSvJ34ZUYERrd4cilMud/kWoHenitfJG8iwU9mvnNjeyCZx67ANeEdbtS/qJT4/pE9R7sUtvp7QXk7lp1wKYHb+ifICQRAEsdGQ+N5UpHhb5Ie9+07jprZpXCaEbifY4Jdx1xWnXO5IZPi+/hDsXI7rf0Q9scXIIGk/DheHQygn5f1lIX2BGj8BhGd6ta8tmGjGCVtTeNZ/3L+FIAiC2FhIfG82Y01ItxfCdH8q8upuoufRMF68foWXT/twr7EMZ8OdIDQPxIn+HeM0qhnZNPpOuEIcX6uywJDYdry+jqOO7ojqfkuzFF8crJPckAgXkQ32pV1E9c1eDA6/xOtXLzDcdws3SjMR4ySC0f5CdO/w6oggCGI7Q+J7Kxi9i6q0A/C1NYVgadcRYz74Vm7wPVqAa88+k5ZOMoymKGfYnOyA6i5xxDbhzU2c9XKCV9Uz3fcuJz4zJHh7pwynDnjCwZSvrIuMYcQXwcwtGLGFLRgk4yAIgthUSHxr4/YpeHumo35DT1uWQTo7hYmxcUzMzGtY8PQZIJnBm5EJzKgOq0r6Ue5rA8+aceWFzxEJnp7eB97hum27cPb97ARej8+ssS3mRiLByzxfCGKqlH8TetGXjyDbKORPbJJ7kEyC76feYGx8Em/nV5kH2ez3WDc70M4kPbjgYQO/BuU5B9uJbZ/fBLHzIfGtCdkb+TZsPGMzuFSP0fT8elllr+XPBwmepNnibw5W634oz2ePhn30Cd3Ruvf9FrNd3kMrO9DOuNOH7dT3yN8mbPv8JoidD4lvTTxiPX+hDby9bfGdVy5u025sOrCIkZJkpPVqSiwJZsdH8Wb2c+7GbIT4Xi0NdyJfqPhefIzKlHy0rzcbJTMYH51cPov0KSDxvfFsZ/G9XeyOID5jSHyvYBYPjtrgW78CDD6+iBCRDfa30Z63azLfjGOmtjhw50vtqWyA+P7s0vALFd8NcRDbn0D955KNJL43nu0svgmC2HRIfKvz+iriTMzgUTcJmWwSnTFm+Ca0DGudtP3FM1ePJCGJ73WJ788uDb9Q8V17EDwHEt9bB4lvgiB2FiS+lyHBy9Ou2OOSgealfbnvnoKHwAWxvVu3TG1HQuKbxPcKSHx/FpD43nhIfBPEF80OEd8yzN0rQpKnFUxMrOEYX4Sb05vQEEy1IM1KCOvS4Y87kUhf4vp+Eb6Lr8PYKj8pe9mFq+mxiPD3g29oHI4Wt6B/dvkX1rxnqgmnfA/i9FMtw+zSF2iI80FY7dLCRSlmaxLhfrgCj2UyvLtfibzECAT7+SEgMhmnmp/i7YdHLWCq+xJOx4djv18Agg5l4vy98ZU7X8y2IccnApm3HuP25TNIPXQQoQF+8As5iEPZZWh8Nqu8kTF0CYleHvD09ISnhwMseQKYOSv/9vSG76UninSUPkHNQR9ENmjeB0T26jaunU1BfFgg/Lh3O5iEE5faMPC9hgRXTaOZR2jPP4640AD4+Ycg8lgBKh/NqC2QleJ1USS8veNx7vlGTF/MYrT9EnKTohAWyPKRpUtcah7K7g6jN1WD+J4fwcPqfGTI092X5Xssjlxs/bidm65pyLHWs/Rl4TV6r55FWmwYe54yj0+XoX54duUiY9k0uo75wKfsMaSyGTxvYO8RHYpAP3/sjzmG7MZBTK1I3uWiSNZ9BqFBmbi22kFMz6uQ7BeHPJ3zSoq5vnqUpMUjMsgPPswODqTkoKjjKaZWRGIBE7euoiCFlUEu7wJCEJ6UhcL2IZVyooLOtibFm7IY+MjzzBNeDuYwFljC0UPxt4d3NLJVyvQPr++iPj8VCeHM3n39ERSbipwbw1jh3Pa4FHG+KSj9UNfJ8EPDMXhEl6JH9h4Lgw0oOh6NcFY+fUNikFDYgPvvNKUti3dnCbJiQ+HP5VfcCZxrfYppXZN4NfE9O4zu4gwciQhiZZc9OyoZJyvv4oVE+TnH8GUk+h3BxdHVfnAej8+GwCPvnvJvjlmM3CjG6UOKOs03JAoJZyvQMab6cA5DxPc8Ju9U42JqHA4wW/DxD0Vk2gXUrtj21dA0VzL7DLcvncaxqFBWxlheHzyMo/lV6Hx2Ezl2Qt3Ft971nip62v0Ku1OgSxunQNd8I4gvl50hvlnFk2Zp9GFPWmNjHnYlNG7w0dhSTBcHQGh1CJdm1CqdliOwF/siTdvpMQPFiLIUwSI4GVnni1Fy7gQSfKwhcEzFtaWtCnW5500FYoUuONSnZciMOx7aW8A6By+WLshP0Nztcw43Kw/B1doD4Rl5uFhUgDOxHrDkm8Ou8CFmmVh6WhgCe7sAxGcXoKgoF5mhDjAR2MO37vXyLQ/fXUMi3wg8vgksgw8hlbu/+ALy0+MRwhoLY6Ej/C8PQH7+3eQDNF0pR3l5OS6XJiOAbwbPzEvyv8vLr6DiwaSiQdC628kcXlckwFPMh9grCsk551FcchEFGfEIshHAyOEAMnvVDoNRptHRlgaccjWDxf5EpOcVofRCDjJCHCAWuyOyQ/X4bAmeZTqBJ/BC8np9h2YeouqgPYRCW7jHn0DOhRKUFuUhOzEMHmYCCAR8/FRVfE/dwCkHMcTu4UjIYulYWoILmfEIsOBjb3AR7nFtka5pqMuz9ED2uBKprmIYW3oiPC0HhcUlKD7HRJSvDYufPbwu3l9+4qpsAk0hAghPt6Aj2RVm9oGIP5WHopILyEsJhYtIBLO0NrxeVnTURJFkAGWeIpgXDmrZ7nAW/cfssOtgFXTS3qxD8CSP2bXABNahSThZUISSC2eRlRQBL+t9y8vR3BM0HXaBKRPFztGpyGZlsPTiOWTF+cFBKIRJ5AV0qncKdLQ1GTc40FuHq/I8K0fFUU8Ymwfj2KXL8r8vXalD9xT3bBkkLclwNbWAQ8RR9r7sHUpYWY3zhrXAHPYlg8v3X18hetn3r4Rgr3sWWuuPw8vcDl5HMpFbxPIu5xgiHUTYu4/VJ8u2iFvAq6Jg2Ijt4Z1yhuVzEQrTYhFobQLjtA5FOV4LLeL7/VANUp1FrA4LweEzhSgpZc/OiMN+KwF4fidRO6bMROkLVAeKIM7r177N5VQDjlk64MAd5ZTjwjBaDjtDZOIIv+Rs5JeUoiQvA4k+VuCb+yK+fUyl3tJTfDO7uZdsDxMLNwQlZyGvuBRlBZlI8rJg+RaEzMeqhcmQNOeQYfFBMRIcBDC29cXB9FycLylhcchESqgrLAWsvuDrIb71rveUGGL3mvJbl/aLQ698I4gvl50hvrtS4cxTFd/G2OWQhrqNLMULPch34kFwpnflASSSfpTs48HoRPfK0SnZJNoiWUN2tEVtZHwOozdu4A73MF3u4TBQfPMt7GHvexyVI6rfm8frC/thIfZDxsWjcPXNRINcAChh79R7zBFGlodQplr5cuJbaI3A5smVleTcMDqO7YMZ3xY+daPLP1/NZUKj+JZipjYWTnxruF/swbh6qzH7CA2xDqzCDsHpIZVncmnEOgY29vsQUPF4eX7IpvAw1Rl7HY6pNAhSvKnNRGLiGVSuOvK2BtJnaAg3x17neJx/pGHz95l+VISY4ueq4nvmAZpbVWcflPScgjffDhHq2+islob6Pms1Xtch2ZYHYfgF3Fwx/DmLl1fi4CYwg+Olpx/Fklx882Biaw+7+Ku4v6yQyLDQkQYvgR1CO1XTRl0UyfBDUyLsrGNRomqLS7woR5SZC2J6lny+VkOKiUuhsBK7IbzhBStJaizMYHrpHaUjuBlrAyObMJy6P73Crn8YvIpkRwH2hJZi2UYzetuaEq1uJ0yQ9Tbj+pD6zMIchk+6YI96naZFfPPNbGGzLw6Fj9VqqslO5Ljwsee4iqieYOXZ1BZBN6aW/+bcM7S19a+szzShSYy9u4VcFyGE8RXoU3sNjHfgjCsfu4KK8FAeH/bedbEwt9eQVnKkmL0UDL73OdyVm+M7DJxwBs+exXFI7eHSN+hNdQXfdD8yhpcSS1/xPYPB5hb0q8+szd1HgStrW9K7VToJBqQ5x/AVxFkKYHqoAj0r4szsoO8ios30FN/62qKhdq+e37q2X3rnG0F8uewM8T1chHDBcvH9dWAR+tehpZbDKthrMbA0DUX2iKaHyjBXEQEz80jkv1GrsCUDKHETwLlKOUKpCV3u4TBUfLMK7eRTDUOfC7eRY2+MvZyAfa7hmSNXECM0hXeTSo0tF9/2ONij7R1GcCPKArvtU3BNxQNFb/H9tg0nrZkAzOjW4K6gZH4A5T4CfBdZiWdL98gbISEs8h5oFg4j5YgWWiKoU+sYmwEw+6iNYULPFymD2oShHj7fizdxylKIfQ1qktEQn29tz9LKDHoSrbDLLR2NWqfL5/EqzwdC8wPIXxq9VIrvXb656FIXWxyyUdQFCfBNSofyAocGUSQdRpWfGMKcXjXBPIeB4w7YHX4F2iaYliGfDWN2UDiwUnirIWs9AgeBCw7efqe9/PXnI1jE7euv0qk01NYM8fluOwobcTQuqJqXFvEtEPvg6ArFy8HqqbIg8K2TUb1UHfSfha8oHGfX46a34j2kmLzI6h3bJFRqcyFqS2Yda1uEdSsjNH8XuY6mcK0ZX5kH0kco8xTD/vIrRdoPFyNcvsuU2qzXErMdyGKdx12pnVDUXHqKb60sojfJAj+LrVPJbwPSnInVm9Fm2OWXh6WB/BXo6/NtgC0abPfq+a1r+6V3vhHEl8vOEN+yGTzJ2w87vkJ477UKQmrPKhWKvjBRe8WHh+/8TuBKQwMaNISmmkyEc+4RK6ZOZ9FzxApGXidQ/Uqb4NPlHoaB4nu3TwF6NQqWWXQcFOAn8Q2aKztJP4pd+bAsUvFxX0t8c/TlwIdvgYA2lcZIT/H9nhsJE4che3x1pfW+IR5WoiCcWhq1XiuNJL0odNrgA31YY9oaLsTX8XXLXTGWoY/47ka2tRAe9aq9F4ZB4lvLs7TxtgEppkI4XlWbuVDnbROOm7N0LH+t+FvpdsLPeaDFdUCCZycd1QSQZlH0/uZxuFioCHuOl5cRbeaIyNuaBI4GOPsxOYC8NUXlDLpiTPB1+OU1XFlmcCvODF+HlH0U/4bamiHiu/MY7Jn4Pq/ak9Aivve6Z6NT27N7TmGf6ndm25BpLYJVeguerlL1rIr6e0hf4VoAD7uDT+OahrpSXl/WZjEhxtWXA0o7k2K80Bt7/TTUVd1pcLGMRbE8L6V4VxwAvmkQjl9v1PjshoZa5PsL8Q13BoP8WRsnvgdSrJj4vq4yim1Amk9U47DIFF4NWkQohyHiWy9bXIfdr7A7XdovQ/KNIL5cdsiCSw4pZod70NnZg0dv9XRwXYubx+DCE8Hc1ha2qwQ7CzF22x1FpfrQw1gH8n3NwRM7wDe1CNceTa0UKLrcs+HiexH3j5jhp4caNY8OSl+gxk8A08LH+onvxU6ctubD4vxT5QWGXuKbNZZZzvjOa2maeRVGryCGb47gm8o8XzONnqDcSzWNNgDJPeTZ82BR8mwVwbqK+F58gydNZchPjceBAE+421vChG+g+Nb1Wdp4kA0vgQeS1vJ/l42hIZiHr461K/9eS3wzcZXniW/3Fyv/5tAiiqSv0RBqAt7J28pRvDk8SnPAd0wA6OaWL8Gr06741jtvbfthtnfRmQdx/uDqnQ0msubLg2FsmYzKpRsNtTUdxLfsTR/ay3KQzi2e9XSFo6UYxsKY9Yvvx/kIFAUg49VSwsgw234KIRY89k4hSChuRu+0nvWn+nuwDt8Za2PYxJ9FXl7eKqEAhTeVo9kc4zVINOP8ulU6WLJpdMdaYE9qp9IWFAJ4l3sccjQ+82M4V9YBxTpWQ8X3It4+bMLVHG7xawC8XO1hLebjf+srvtXT/E4GXAR+SH+xinFutPhWt8X12P0Ku2Os2X4Zkm8E8eWyg8T3JsFERnOECb4Nv/LRtUEbo1U4ZCqC/eWXKys06SSGanOR4mcLMc8U1lG5uP5a7a617tkE8f3giPkq4vsVavwNEN+S+yjk/OPP9SsvMPQU30/S7PD1/qK1xdZsLY4wcenVoqzq9U6jDUDZ2XC4OsZSXBuaxLcU77ryEecoAs/OH1En81FSVYfmRnbNTF/xreeztHE7nQmDAJz4IM60MYv2SB5+cqhJ8acO4vvNOS/dxDdHzyl4mgUji3sPbm99U3V/8dVQpPXX7LfWtB9O5LCOk3XJizVECKM6EnxxPEqXtKmhtraa+JaO40HeAbiJhLAIiEdqfhkq6prQnhcOS9EGjHw/yUfQMvGtZKIfzbmHEWwrhJGpCwLOtUF1KcWqrBDfClcnnW3uA3N4eMwW38Vf/+g7/Poyok3dcLh/6WWWXD9UBfBaGCC+x7pRFuEAscgOnocykFtWhetNjSgNM8NP9BXf6mnekQJ7YQiy1V0UVdlw8a1mi+uxe03im2PV9suQfCOILxcS331n4b9ioZg25tCfaofv3LLQoVmBMCR421OBbH9L7HY9gQaNDnpa7pmoRJzQGfGKVUor2S7ie64JqaZ8OFaMKS8w9BLfUkwUeGGPUwZaVvkZOU8KECRw+Pg+n0J8SwdR5sGDUVaPFuHJoUF89+Uh2MQczmfa8Uz1i4a4nej7LG08LVyentpg6XjZm4c9mXcVf2+0+Ja9QXu0BYyON+FeujN26bWGQ4LXZ9yxmyuHa9mPdAhXvBTx0J53HOz989VscsPF9yJenvOBiUUgjnaMLC+TG+V2ok18LyEZx2BFGkItBRCkd0Hz5p9qqL+HdEC+AJ1zKVk9TTUwcA4BJgHKUWEpRs55YDezmYEPryuV5+13XrlYbQJoOXqK78V+XPJhndj92agbWVaYDHM7UU9zLo4CJ0QvW8WoxmaL7/XYvTbx/QFN7Zch+UYQXy5fuPiewd0EK/lR8j26NvxDFxAisoBPo9ruAerMtOCEtSm8GlcRRer3zDfjuNgcQR1aVunIfbQ/vfh+fyMJjkIfpKiujFMKx3CdxDfjbibc+U7sd1bz8eUaBm8YWyXiylLf6FOIb5aO3Ej9Lpd0NGl9XXXxvYDeZEt8E3F15YzKGuJ7ZRoa8CxtSHpQ4GgM45N3NS/cWoJ1ekIElvC/oXzuRotvjv5zCBSbwFRsh/3tq77NSloSYSPwQsrQWgVXgqEMB5Z3GWhd1dRYZ8OHh2+OtOCDHFqX+E5bKb4XOpBlJYZTpQZ/+60S33JkkDUlwM48FsW6jDmseI8F9Kfa4Dt31vnRtqBQG9JRNIWagH+adWTn7+Csgynca9W2yOtMhRPfFXEPdH24nuK7LRm2pmHIVV1zIGeDxPciN+psDF7GkluVBjZbfK/H7tcU30rU2y+9840gvly+bPH94hIOmpjLj5LXefGmbApdseb4JuACHq7WvikFp3PNarugqN2j9MHee6xdw4iUBG/KQmHF+8Tie+YOCvYJsfdQ/fI9nTnhKDDH/iXfbFU0iW/pc9QGi7HHJxvt2nbdeFyCaHMhTHIffnx/vRshKXvlKpSU1Cr3WjaQoVIcNBXC/GSnlsOW1MX3NFrCBZpHnpSLGTWKb41paMCztCLFVGkwzEy8kXBfy6LlhSeoCTHFLq8cdC/94GaIb9kbJsQE+MavUIv9rsLcHeQ68mAUXYXH2kTREs8uIcpUDMsz97TsrLOA0eIQWIo8kdCvErt1iG++5dGPPrRLTFXhsJaypVhYvFXimyF/doQOC1YZmsTYo0KEikSwOtWt/byF+dcYWjayrOB96xHYWR9CVcVhWNoeRZW66Uoe44ovs3fvTDRpfb95jDwbUW4Lq5/4ll0Nh7HGWTfF4sN1u52wsjBREgRzkQdiurUM0my6+GYYave6im/19kvvfCOIL5cvWHwvYPikE/a4nESrvh31nix4CRwUOzMsdqPgwBGcaXyIDwvBpdMYLoqAnXkocl6zWk+Xe+TIsNhwGE4CO/iW3sfokgZbHMPAxWg4uQYjzIE7gXOTxbdABPsjxbj+RGVvWNkcJu+UI93LDEYeJ1A7qVa5cn7RVjyY5X/c+k06M4EJLr6axDfH81qk2PPB9zmGi/fHP76jZArP6rIQacUHL7wYd1VragNGgDbmkB0JJmvi4crSxir+AhqevfuYNgtjeFRzClF2qofsKFwjjG2jkNv3VnEvS8OpW2VI87aCiUAI99o3GK3NRNYtpVFoTUMDnrUarJPXFmcHvrk3Yit6Ptoke+fZgXrkB1vByCoMWapHZ26G+B6tQYKZFfxbpjULlFVhZaXrJPxEApjHFLL8mP2YH6xsvWy/iiv3Z5YuKPPODA7Hr6Jr/GMMZFODaMsKhp3ACq4lA8tHKg0V3x0psBN64eijpd+R4N3ENBYlg3J3DUF0GW4vbdg+N4KHZUcQYCUCXxiFCxPP0Jp5HnVc2d8I8d15GmFJhajuG/tYvqYfoirCGrvDL+OJLkVCoxhbwEhpGOz4JrA+UoYbI/Mf8vD97Aj6r51FopslXGs1iEtWHxSx+kAsFstHwDUKsUdliGVlwXhfIvJvj2B26T2ls5i8dw0XYtywN6rmQ1nTa+S7n3M1tIHPpT5MyF+apevr26g+4g1bsQA/ia7B5NB1nLjYrfjMkA6PRFHGBGJXhFxsx6N3Hy1cOtqL5lOhcOZvsvg21O7V81vn9ouhV74RxJfLlyu+JxuQYi6C7SUdFqSoI32N+mARvo2qZrXYJAYuHIKfBR/GIks4uLnB1Zo7OdAfh9uU08u63LOE7B2elcbBQ2zMxJED3Nxd4WAmgLF7IkoeD6hVsJslvk3gFOgPJxMmjM1t4eTmCidLEXh8czgklOCmxhHkRflJetZ8Ecyd3eHuaA2ReRjOclsEahPfHKOdKI12hQWPD6G1I9zcnGHPxVfkAJ+sBgyod4w+mfjmYOl9Mw+HXUzAMxbC1N6Fva8Ta7CFEPkcxrEgS7VDdnpwiV3j88WwcHSFq40phPvikH3rFso8ufy1hWN8Cbo/7JW8Shrq/aw1kI7hfl40PE2NwRNbK2zS1gwCbtef8FO4+kwt4TdcfLPPzrgx281bh4+oDHP3ipHiYQa+Mj/cXexhIWKdNmtfHL6puvRLipmb+UhwNWV2LIaloxvcnW1hIWBCwTEMSY3DK7fjNFR8Lw6iOtgMPJEVnNzd4Gxtoty//D0k9/JZp5LH0twKDq7OsDM1hy3rzN3qzkcgE2Omtp4IKu1VbGm5EeJ74i6uHPKENYunwFJRvjiBKQjIxDVdD53SOhI6j9H6k4i0Y+WVp7BLd2c7WApZmtr6IaqoC5qOF5CXo9IgiIW+OLbKpu6yoQacDbaDyJgHoZUjXNm7O5hzp+zawi3pIppHlx6up/iWb10bxDoOrM5hz3VztoGJuTsTyd14mOsJgdAcFp5xOPOAsx8DxTeHdBT3z0XBw8QYRuyZdi7M5pysWbwt4ZKQhAOW+p9wqbctGmL36vmtT/vF0D3fCOLLhRZcbhRzY3jc0YCaikpUt/Zg+HsNjYou9yiRTT7BncYaVFRU4VrnIDTM3m4Oqm4n715hoLsV9dVVqGrowL3ROVaVr4YE7wY6UFfF3rnlDgbf6jqeyY089aGr8RqqKmtwra0Hj99pcF/ZLkhn8aa3A001laioacSNwTHth0ZIp/Gisw5VVddQf+8ZpuRJwhrE+w24dvelBp/QVdJQ72fpwNwIHnU0oraK2WRdG249n9EirjeYCe44cQt4N+jh8qUNblamvwsttVWovNaEGz3DmNBmPuzeNw9vovlaFcu7OjT3PIO+O+/phGQSQ+21LK+uo+HOkHKEVcn0U9yu5961GV0sveVSRPoGAw316HilsZu8TmRYHOtHd0M1Kipr0Xj/5cqTUteDZBov73D1RAWLUwNae1+snabvBtHa0KvFhUsVCWaH7qKtrhpXmd1f7+jF0IbUDVJ8/6QLjaycVTXfZfWNMoPGe9HYcAfqBzSuh/ezrzHA6v1rlZWoauxE7/gGPlxXNsLu9Wi/Ni/fCOLzgMQ3sRwdFlwSxPrg9gT3gpFHDrqoPSYIgiC+MEh8E8sh8U1sNm/bcNLWHO61Go4aJwiCIIjPHBLfxHJIfBObihRTRQHguWehbatcqQiCIAhiG0Him1gOiW9iM5nrRo6DKZyrNOx1TRAEQRBfACS+ieWQ+CY2DSlmL4dB5JKBlk+w5owgCIIgtgMkvonlcPtHj45hmlwCiE1gcWoUI9OkvAmCIIgvFxLfBEEQBEEQBLFFkPgmCIIgCIIgiC2CxDdBEARBEARBbBEkvgmCIAiCIAhiiyDxTRAEQRAEQRBbBIlvgiAIgiAIgtgiSHwTBEEQBEEQxBZB4psgCIIgCIIgtggS3wRBEARBEASxRZD4JgiCIAiCIIgtgsQ3QRAEQRAEQWwRJL4JgiAIgiAIYosg8U0QBEEQBEEQWwSJb4IgCIIgCILYIkh8EwRBEARBEMQWQeKbIAiCIAiCILYIEt8EQRAEQRAEsUWQ+CYIgiAIgiCILYLEN0EQBEEQBEFsESS+CYIgCIIgCGKLIPFNEARBEARBEFsEiW+CIAiCIAiC2CJIfBMEQRAEQRDEFkHimyAIgiAIgiC2CBLfBEEQBEEQBLFFkPgmCIIgCIIgiC2CxDdBEARBEARBbBEkvgmCIAiCIAhiiyDxTRAEQRAEQRBbBIlvgiAIgiAIgtgiSHwTBEEQBEEQxBZB4psgCIIgCIIgtggS3wRBEARBEASxRZD4JgiCIAiCIIgtgsQ3QRAEQRAEQWwRJL4JgiAIgiAIYosg8U0QBEEQBEEQWwSJb4IgCIIgCILYIkh8EwRBEARBEMQWQeKbIAiCIAiCILYIEt8EQRAEQRAEsUWQ+CYIgiAIgiCILYLEN0EQBEEQBEFsESS+twnv37+nQIECBQoUKFDY0kBsPSS+CYIgCIIgCGKLIPG9TVDthc4tzGB85iXevHtFYQeH0cmXeD1O+bidw+uRFxibpjzazmF0ipWj0ZesTtT8OYVtEFh79YqVpXEqS9s6cGVpYmJimd7gArH1kPjehozOPMf9Fx3ofXmTwg4OdwY70H2/TeNnFLZH6Lx9Az1Pqaxt53D3UQe67raxOlHz5xS2QWDtlbwsDVNZ2s7h7qN29PX1KZUG8Skh8b1NUO2Fjr0l8f05BBLf2z+Q+N7+gcT3DggkvndEWBLfqnqDC8TWQ+J7GzI+80JeUB686qSwg8PdRzdxq7dd42cUtkfousNE3RCVte0c7j2+ie577axO1Pw5hW0QWHslL0vPqCxt53DvcQf6+/uVSoP4lJD43oaQ+P48Aonv7R9IfG//QOJ7BwQS3zsikPjePpD43oaQ+P48Aonv7R9IfG//QOJ7BwQS3zsikPjePpD43oaQ+P48wvYW3x/tS3dbU/gNcv//XOxzO4tv1TQ2JL3vq+TXTg7bXXyvq0ysM4+3TWDvvp3Ft2ra6prO3H33Vf6v/vlODCS+tw8kvrchJL4/j7CdxXdjcz68/G3gvM8SgTGhaHvUqvE+Liw1QNfrzsLd1RyW9mJ4H9yP2vv1K+7daWG7iu/7Q83IPxcHJy9bOLpb4fjF0x/yQafwsh0pIc5IvVKu3/e2YdjO4vtGRxFCw53h7GEN7xBvXO9t0HifpnD3aTMuVZzE/gAnVg5dUNRepfG+HRFYe7VdxXfvcCvO5USysmQHB1Z/pZeexT3us1XsqfdFK4qLU+DqZS/P28DoA2jpb9Z4704KJL63DyS+tyGrie+Hr7vQN9It/1f9s9b715BTnIHazssrPtvuofe15us7OWxL8c3s6srZGPzBj/8xXI8dwfXWczD5+V/hP35rgut9LZq/w0JuejD+ye/+Lv7tf/x3+IPf/zF+5Vd+Fb//1/8FhW0VGu/fKWE7iu/7g3XwEf8Cf/bv/zNOXbuAixei8Fd/+qewjjmq8f4V4WUHSs5G4O//6FdhkXqGxPcmBK6+qipOxl/+0z+CMDgIlTcK4WH+M/zFX/8EpbfW6pTeRPnlVPzsf/wV/tV/+i+IzTmOzqeKXZE0378DwnYV38PN8OH/BH/0V/8dmbVFrEMbjr/85/8c9tEJCgGuMXTgoNt3+PP/9ROcLMlDdW0urHb/N/y/P/8OV3ubNNy/cwKJ7+0Die9tguq2P5q2GuT+LrySDa8gN1g5msLR0wbpeSm4M9T64Z60nCT86Df/LvzCPPBwtHvZ97dT4OLS85xrTBV/X6jIwf/8P/8V+eWnl92308N23Gqw+04p/r8/+V385Xdm6FF24FprM/Cnv/0PIAqMxF0N37nXewVf/dd/h4SiM7j5qBl17UWw3vXv8bd/9VfwC9dAjd/ZKWHbbTXI8iQ3wR0//vu/BZ/0DGUn+yaO+pvi1//ej5F1vUbz91RCW0cB/vNf/j5+5Td/BRbHzqBHwz07KWzHrQbvP7oGo//8Z/jz//IVmgYVs0ZdnefxP/7s9/E/RE6rlokL5yLxZ3/0u/iPP+Oj6k6dQhhpuG9HhW251SDrhJ7wxY9+9TcRUZCv7ITeRIKXAD/+/T9FZs1ldm3l9251FuLPfvTrCC48p8gbro6sz8Af/5N/hpCsMyvu30mBthrcPpD43oaoj3xzQjX+WCR+58f/EL/1D/8B/uAP/zH+0e/9GH/v7/1fMLcToXOwUX4fJ75/7dd/DT4h7ugfvfXh+9stnD6fJp9Ov/esTf73sdOH8ft/8HtIzoxfce9ODrqMfGuawdi0wGyq6KQvfv3X/jbsTmTi4dL1oQaI/tcf4w/+zX9C9X31kZ2bqCqNh1lgKHvXj9ebGk/hj3789/Hv/rcQnUwULf/Ozgm6jHxvZR49HG6GyVd/hR/9sz9HQadSmLHQVpOI//vv/ip+6R7A6oaV31sKPU+uw9n0p/CMcMM//rt/C5bHc76IkW8ujz7Y8xaE2rI4/M5v/m18HXIQ95bs/1kLAi3/G/7eP/qnKOrSPPrd1pKDf/env4d/9K//Chdv1mi8Z0cGVrfoMvK9lWWp51krLH/+b/C3/vhfo/LhjQ/X664exh/+w78Lnl+IxtHvtsaT+Ae/+iuwiTrCOq7Kay2n8c//yR8igHWI1e/fSYFGvrcPJL63Caq9UPWR76Kqs/jdf/Rj/NV/+Eucv3oGDbcrUdlaAjMbAf7O3/07OHA4WH5f6pkj+NVf+1V4BLqgrusKiqtz0fbg+ofncOHWkxaU1RegqOYcmu5Wswrq4wj0bfbZpfrzLBTK7+OucQW2o79B7tLCXbvaeAFltfmov1WBzoHGD9/lwo3ea2jpqZG/e/ejZvk7FtXkooHduzTS3f2oCb/47mf4y//336Cu+4r8/doe1CK3NJN9v/bDs+4O30B1exkusjhwz1y6zgXuXdof1uEme6+yukJUt5XhztCNZfdsh6B95LsTtwfrkVuUhsT0WKTmpaKVpVdnTwUuVuaieUCR9pqCemWqOWj+7v3nrXAX/m/82m/8fWQ1VnwYbet73YFA+2/wG7/xY6ReLV4xCtd1vwpNDxuWXe+6cxF//vu/jb8WO+OOyvWdFrSNfHNxbey6hLTsw0g4EYvcmgJ5Z7G66TxK64tx+7m2ET5N+bEyaP4uS9dbRfjLf/57+LP/8H/QMvyxbN4fvIp/9dt/D3/wF/9D3tlR/c6H8KINR2NdsNd1H1punME//juf/8g35zdddPkUjmTEIulUIhr7GnGnrwZFFWdR/6Bhxf1LQVOerAgavrcUYrwF+LVf+REO5uV8uPbw9U2kH3bBb/z6jxB4MmvF97nPAyx/jr/9G38Hu/cHobwuHxfYe1Z3Vu74PFp95LsDjZ2XcOJMAhK5slSVj7usPahuKkRRQwnrvGguDxrzREPQ9F0u3Om9hD/5rR/hX/6vX+DW648zwd33SvAf/+h38ed//TdoebKyfu7pu4L/+cf/N/7+H/4JDhWdxR1mYxHeRviLv/6fKOz82EbtxEAj39sHEt/bENWRb+5fG2cz/Ob/9SOczEthFfjHSocToX/0x/8E/+m//Qf56PfSyPdf/Os/x5/9P/8c//C3fwv/lolczp2Du7/xTiW+3fsVfvf3fge/8+Pfxr/4iz9DzNFw+WfXmVj/Zs/fMJH/O/jx7/0Y/+dv/qdc5A+M3YJ3sDv+50/+GyzsRfi9f/y7+JM/+2f4D//538tdX5bes4v9/v/66X+H0HwvKpuL8PNf/h/80z/6A/lo/Z//iz9BcLQ/bj1uhqWDGD/6zR/Jw7/8N/+P/JkJadHye1KzE+XParpbBZ7ZHvzTf/aH+O3f+S38q3/7L5F0Mk7+W5yw/4bF4Sd/8//J34l7n3/yT/9APgNwc0D3xU5bEbSNfNc1noPgp/8V/93CAqcKj8P8Z3+Nr22d4Cn4Cf7Rn/wFq+Cvr/gO58dbfvUEYpMPsHBwlRCJxFNH0cWEm/ozeoebwP/2P+I3/s4/RGF77YfrfaNdiHE3xm/82q/jQGG2TiOITfWZ+KM//D34nDrB8kXzPTshaBr5vv+8DbmZ4fg3f/mvYR1zAFmpIfhX/+JPEXI4Gv/pL/4Z/ofIEh1MZKh+hwu9T+uRkq7IA815owgxLORWnV/xfS60MdH8x3/4W/jX/3nX/8/eW8dF1bz//6BSIqioSKugKFiEYGBjd6GC2KJid3d3d2CLDQYYSEmXdOd2sHi/P9/f5/vv9/WbObssu7Dcfb/vVc88Hs+H7pyZs8uZc515zXWumVF7o5DPjcTAtqZoZWePL2SwoFpHTio+R1wlNjwZYXmxSEu+B8sf2vNNBuHpr7B0+kj0nDAJV19cx3qfYXCfNBuHV/vAzNwGVz6GNvzbiR1Fxd4j7fA77OjmKSSW13lMVVkbMAo6OqY48/KJMq9QnIZHFzbCsGlTLDpxtIEd5RWGoW8Xc+g2aY6eA/rCe/QgdO9mB+vOXbHi6ElkKp6l3yXkt2vyfOdxE3D7/Da4e7gi4NAe3Ly0E32cu2L32ePwsGuLQX4LkCVu6A3PLovE1dtHmXbQ3D5yjpDj98OfIlfDnKGMtIcwNdaHq/c05EgzlPk5RWHwtrcgA9nu+FDYcJ4Ljed/fGkrWpsYwdjSjvQ1nug6chQeRf0Ik5dZz7e2JFZ8a2FSFd80pnvEuKFEYFoiLuejmiHRiZce/d0YkU29xLXim4Zw7Ni/AbuI4KXitJtzFzJ6T2DixU1MW2Dd9pU4cfkQZvhNxu0nl5FJjk2bPZE5Dy2zec86GBs3Z4QxfU1IBXNT0qHYEDFNw0X2Hd8BryF9YdvJBslF8terj9/cRpMmTbDn2DYi5N8yApnGnh+/eBA9iHimoTLviCi/GXyREe8OXTriHBHUj97exu6j20hHpsOE1uQTwbE4cC4TUrNw2RxmcDBgsCczWAj/8oIR3y59ekFXVxfDRw9m6kz2GQ9DI0OcuXZU7fr822gS37kF4Rjk3gWdPL0RnhvNXN+nd3egdfMWMGrRAhNXb1TGYqvBT8S2tZNg72hPBioOv4I9eg8eh9jShp1KbnkUJg/pjGYtrBGSVRdeQsX30VUzoN+kKRHT135TfOcLknF440x4TpqByOLGJ2l+D9QX39TuXj84hNatTTFt1yHmtXShKAVLJzjB1KQ1jNvY4HRIneBSJT/3GVxcu6DLb7SRg2NnLNh9WOM5Yj+dh425EbqMm4evRGDW5udzozC4rQkMrOwQUSIP11Ilk9xXC6aPwOGn95gB+o8uvrMLP2DWuL5o17k37sa/Z+7ZpPgbaG1gBFNTY3j5LUGahgEoXQXm8qkl6Njlt+3IZdBQhOVoHtAv93GHjoEFLr0PVeZR8f34/GYYEjuavmcviuoJwsS4IFiZtUArG3uce36XeZMYGX0HQ/p0gUGLdjj29rla+e8KDeKbitjgoL1o37YNpm3fg6/0bS7nC9bN8iBtZAZDk7Y4E/pC/TwKUtODMWRgTw3too6DowMWUTvVIL4To86jhWETuE9diHxp3TM1uzAcozpaoC0Z9LzObsRhQ5+388fCSF+f6Zs6DBqCF0lhmst+R7DiW3sSK761MKmK7/SyWCI++6KLkwPjXVY1pFJZFiOCqaB+E/sMV+/LxTf1lNd6yBevmItmes3w6PUtBK5bxMSMn791HBnlX0inLH8VFR7/kvF4T5w2Bp9T3+BT8mv09XJn8lKLYpTi+/BZ0qHQlVYkGYzIpt74q/flKzD4L/JhxDsNNaHnpGEjGeVxTFjJyk1LGTH/IOQGEfrxcPXoBfd+rkwoCv2de49tV4pvOsBw7ObAeLXlx9OZUBjqKadLPtE8Kr5bEXH07stz5veERAaT726JNVsDmfKq1+jfpIH4FqXi0i5/GBm1xrEXwUwenWD3MfQo2ho3QasOXfEsqc4jrQbt3Mq+IKk4Gqm/QgohuYS0rYrXtJa8qlj4jHWDnmEbPEmp865T8X2Yim/Sxnse3v5N8R0VehY9XT1x58u73+Ul12bqi+/s4vcY28sOZo4eSOTK8/Lp/b6kLzPgG7Fwpca3Ckw5fjISyWCUtoGmtqmFHk+v0OxRTYwPQgerlujWf1oDz7dXW1O0tO2A2PJ638+Nx54tfvBZswlfiX1QG0km57Ew0IH/pTvMK34a1qBW5ztCk/h+cGULTJubIPDseUbk0bzc7CewNG0C/ZbmePClsWX7aHhdHOM00NQ2tcjtKBY5RDBqOs/ahd7Q0W1FBmLPlHlUfD88v4kR3wuOHGpgGzFR19C2tTH6T5iHTMXfQn/700sbYKjXFH0CNqGYnEO1zncDfT7VE9+5JR8w1rUjbDyGIaJAvkxfPi8RJ9YMJddOF/19Fmt2NBDyyD2bVBzzm7ZEobakaYCZnnyX3CP6cBnto+b5zi4Mw/BOFrDs5oQP+ZqXD3zy+Agcu/bExuN7MKFPN/JsbIJO/QfjVdr3HafPim/tSaz41sKkKr5pHPawkYMYTzF9EKkaUok0E/0HUS+CCcLiXmiccEkFMxW2NCbyQ1IInHs5oYUJ6QAGe+L6w/PI4iYhOOwujFsYQ4+I9OZMSIghDAz0oa+vh8i0t4z4pp5luipJ7XfT72vXzgwz/acynb2VrRUGew9gRHdaSQwTqtJ3oAe6dndk6jZXiG/q7akV3zlcuYhQFd8fEkOYMBI6aKj9Lvp3d7S3w7gpo5DDSWLENw2Nic6QL3NHY9TN2rRmBh1UjNfW+7epL77zq2Iw3sUSlv2GIFqxQoL8FecWmOjpwWfHXqWQaAC5H3JJW9Hr+5tUaV62LI8bh4VTvKCn3xoPVUR+Eenw966cBr1mhjj6/IFanfqk577F+OGDcObJ0+/eo0qpL74jnh9GK2M9TNixT+m5LBQlYcHAbmje1hpBka+VZdWhA9kUcu0TNLdJPXK4mkVdalowHO3aolvfiUjl1f2ufE4E+rQxgVmnbkjgqLdtbNxddLZrjz7DBmPcpJEMo4Z7wpB67Nw9yedJZFD3/a4hXV9851d9wappfZjB6sucOodEwsfLMG2qg4GLVjKrjdTmq0HtiPd77Ug+j0TTeXaumgRdHVOcevFEaQc0pvve+fUwaNqMDApONxDfcfG30d6sBbwmLlKKb0pi3A20bGGETtNXkGe69jgP/hDkOtUX3xEvj6K1sQH8jhxTTmzMq4jBitGuMGxjhaAv7+vq14OxJU1tooFcYkuankVZ2c/RvoUheo6YiiwygFbmF7zF4E7tYdvTDZElDfc3yMoNgYtVK0w4cJD53XQOQaD/cMY5MW4znV+lXv57ghXf2pNY8a2FSVV80zCLidPHoGUrU0ZkqhoSFb09ezsznmI62bFWfFPhWytCtx/cyAjbs0R80890ouKBUztBX6vqEXF96OweZglDKshp6MmNxxeY2PJaaEiKJvGdVZmIEeOGoWPnDkz9ZuR7dxzczByjseA0bGTp6gW48+wKlq1ZoPR8/17xvWCZn/K7qHejk4MdE8ryPYtvOgHIyUAPHvM3IFPhUcspi4DvqB5o7dAL7/Lo24iG52HgJ2LPukno7Gj/m7gOGoXYEg2xjKRDu3d0PrlH9LD35TOlOCjiJ2DR9D7Qs3PCc0W8Ob3/6guPrKL3GDuiL86HPFP+TnpOOkD8XoW4qvimb2GC9i2DgZ4xdj2tex0e9eEc2rcywrClaxjR1Jggy8t5jr5uDhrbRBXmVfnuAxrPUVARhUkDHGHu1BvvC+qEQWbafZiZ6qPL9EUq117+O+LTXmDegumYOnOikknjvWBEhGjnPl6Y6jP9u97Apb74zi4k92FXG1gOm4k0ntyO8ol9bFkwFDrN2+JZJp1o2Ug7CZJx/eRije1SH/eBA/G2kbCTd0Fb0EK/KZZeuKB8q1DET8KhLVPRrGVbXPgsF5aqdpRDBq6uZGDVa+RkJKnMGUiMvwlTEyN0812FYsmPI77vHVgGQ0NzHH/1XOFUSEXEh0uwNjOC9woaXte4LaWmPcHIwT01tkt9Fu7YrzHsJJcThykelmjl0hdxVXX5iWQQZGdpCtd5K8lzWP79qr8j4s1xNGmih0uf60KKvuaGon/X9rAfS8PB6s71vcGKb+1JrPjWwqQqvimX7pyGvoE+5i+fwwjuYulXRmReuX+GEcVzF89i8mvFt9/CGcq6vgtmQF9fH0/D7jFhIDQsg3rFI1LewMLagvGAv098xSxdSMW0/HgGU4aGiNAJl5rEN4VOWtLT02NCRIyNjZi4c7oiBA2ToYMCuhoJPR/9PQ08331dmIFFkThdTXzTMBU6wbJvfzfGq0GPv4x4RB7iBli5YQmzOst3K74LXsOZiG/PZTuVnrl7lzegpX4TWDj0w6eMN7gUdBn5mjpgfjLu39nP7Li26jfYsm8vUisbxgVT4hPuoGOrphi2YhMjNmleVu5LuNq0RO8Z85k42XxeEsI/P8DL2BCl0MstjcCoYZ7YdfMSs7IMhXp5H94/gAWHD5LO9fsUDfXF9539RHwbmOBAqMLDTUTd4kke0CX357S1u/Aq5CKex2jexCq/5AO271j+m220cv0ynA/W/IaBvoU4umkqmhMBd+J1XUjDw0troa/bFOvvym0wuzQKwaG35KvQkM+1NlvL17QHTMz3vGsPmDCx7zk8qIH4JoPAMd1s0W7sXKV4+vj2NMwNmkBXzw6RxZ9x5OwZ5QBXDTJYfBt65nfZ0ea92xGnwTNKycoLQR97YjNT/JCueIuRU/Iek/raw8xjOCOu6TM8KvYRnka+YAR6sSgFAVP7w8jKEfcT68IX3gfvgSkNqzt/9fttJ/L3NRDfh5ZBv4U1Tr8LZWwrtyIaiye6kWd9M8zctBvv313G/U/v1M+jgM5h2LtvlcZ2UYW248VHDzROuKRhYBd2+0BHrxWu09WdFPl3L6yCcYuW2HE3CHmkf8kpicTjkJv4UiB/ixL98Tz0mjTBgae1a4OTc1XGYOqgLug0cymyFXnfI6z41p7Eim8tSarL/tRfapCuZDJ51gQmdpvGeFMxS73hpi1N0MPFGZ9SXjPlapcapCEkVIguXjUfRkQ09/XqQx5EKURE+2Gm/xTsPLyZ2SKceqdpmWxOEuNpNjAwwOgJ3qTTWYcpPuPht8CHEc904iVd0pAuc1j7myh0J812Fu2YWFivIf2YPPq7Z/hPRctWJoxYpuEjNM6cxmzff3WdOT5m0ggmb9v+Ddh/cgd2H93KnOPYhf3MA2Lr/vVoYdICYyePxIZda9C9Z1cm/jyC/J15vBT0du+JNuRzVHoY852hUTTmuxUWksEJ/b2qv/HfpP5SgwWcL/D17IiuHmPwhXTqL4OPo5dTN0zzncCE8AzxHoKDj+Qx16rn+VvhJ+HMvoXQbW+DO1GkU+QlYte6SbDq0hX3iKiknU1ywj30MG+Btk59EFmShJziT/Cd0J+J++/l1hOuBBcGJ5jbdsKNT1Soaviu7wDVpQbpvRf15hSsyb3qv43ci0R4790wG859B2LcSFdYkms0YupUvM9TX2Lz74T+hrSsVxjl5QyniVOQUJ6I1OxQjOhvD/cJM5BOxCYtd/vgEpjoN8PgDbuZdabrnyc1Sb7U4NxLP95SgwXcOGyZPQgWHVzwLisGEZFB8HDuBp9Fs2FmYohBw4dg250bDc7zd8IsK3h2LUwtrXDg4S1mhZwLJ5bDysYCJ589ZMrkVUViQHsj6Fo7IyRLLuw+R91Azy5mcJ8zD3FFccjMD4PfKHd0GD0FseXatSHXH4I81+svNRjz7gxsW5gi8NBJZrm+3Wtmo6enB6aM74v2Dk7wHj8GH4kYVDvP30x2UTiGudqjx9RZiC9LQFL6cwxyt8bAmbORSHcVJaL9xu75MNTTh/vSzfKY+/JITBnYDdaeo/Ai4T05TzIeB21Dl06dse/RnQbf8T3BLjWoPYkV31qY6nu+6f+pR3jVxqVw6dMTHTrZontvJybeOiL1jbLco9e3MWSEFyN63Txd0KGjLcZNHsVMgqTHtx3YyCw9SJfvc3TuQgT6HGYNbXosuSiKnD+AOS+dwNnbvQezCgkVs7uObIHX0H54G1vniaPQmEgq3j293BnhXPub6VrgdKlCC0tzZhlEurrKYG8vhEQ8Yo7TlVHo+am3PYDUvxh0iil38/FF5jj10O84uIkZWFjbkQcl+W7qNafHqHin3ny6lGHtb6frfNOVT+jvpL+X5mkDmlY7SYi9j5nTR8F3iR/8Fs/HrbfBSM98iyXTR2P6jq1IV4Ti/JPkVcXjyvGVGD99HOYsmIYxs2fi3qfnyvajXqclfqMxdWkAUjmkE/10BePJQIgOmuqzYMNGpDQyAfF7QNXzTaFLo929tA3eY7yxaOVcLN64Dp8yo/HhyQmMJnnHQx/985MXBeQ+SX2BjcumY6r/NPiQwdm8TRvwpZiuUCP/7vevT2PUSC/svnNT4+/5mv0Ks6aNwKF3dW8vvlc0TbhMTnmBJXMnYvrcmfBd6Iezj4OQw0vAhtljMSYwEEmVmie0/p3kcxJw58p2TJ8xGr7zp2PCzCk4/SSIGSTQ4/Re2rB4PEb4z0VsmeL3kLaK+HQdC0mbTpk9GbPIv/Qeiyz4vrct1+T5LuAm4ebZzeTZMQZzl/ph5Y4tiMiKwoeQ8xg1Zhj2v5L3B/80iemvsHLhBEybOx3TZpJn3pbNiMyvCycKe3kS3qTf3HL9Kuk/5HlJma+xbrUvxk+dCL+F0zFl5jRcfHoPWYq2/V5hPd/ak1jxrYWpvviuhYaWpBRFM5vjUDFOPdaqx2nIB10Rg8ZSpxAxTdf1pmtrK+uT4zTmm65oQtcIp+JZvX4yc1662gmtT7+P5tNlCtNLvyg/10J/I433pauw0Fhs1XzqrY/KCGN+Lz0v/V219elxKvbp2uJUaNO/g55D9e+hZelvjckMZzbmqb0e9F9ah56vtpPL5aUwn2l8em19bUCT+Gbyifilv5f+vYwwIn8TM1Gv3vX9J6Gx2hllscxk1ixmgqbqMfnv+Urymc9kwEPbQzOaJzt9L9QX3xR6bb6WfyFtFMf8fUweP5mxg39ceKtA7ZVZ0aEkVvk7aqFtQm2vfr7yOPmdNESL2siPKL7pICSHk8g8lzKJ0K79G3PIfZv1XxjA1sLMeSDPI2pHGeR31D6n5Mfkv/ErM3FTvR7NT1O0bXYjbfhdQf7WBuKbQO9Taktp5BrV2RK5Zv+SLaUx/VhDW/pa3tCW6IortF+ifRi9x1Tb9nuFFd/ak1jxrYWpMfHN8n3RmPhm0R40iW8W7UKz+GbRKhoR3yzaBSu+tSex4lsLEyu+fwxY8a39sOJb+2HF93cAK76/C1jxrT2JFd9amFjx/WPAim/thxXf2g8rvr8DWPH9XcCKb+1JrPjWwsSK7x8DVnxrP6z41n5Y8f0dwIrv7wJWfGtPYsW3FiZWfP8YsOJb+2HFt/bDiu/vAFZ8fxew4lt7Eiu+tTCx4vvHgBXf2g8rvrUfVnx/B7Di+7uAFd/ak1jxrYWJFd8/Bqz41n5Y8a39sOL7O4AV398FrPjWnsSKby1MrPj+MWDFt/bDim/thxXf3wGs+P4uYMW39iRWfGthYsX3jwErvrUfVnxrP6z4/g5gxfd3ASu+tSex4lsL0//3v/8HIokAYqmQ5TtGJBZCKGLbUZsRCgVMO2k6xqIdsHb0fcDYkkTzMRbtQCQW4Nu3bwqlwaZ/M7HiWwvT//2//xdSqRTV1dUsLCwsLCwsLH8L/+f//B+F0mDTv5lY8a2FiRXfPzYioQDFRYUoLCyCQCjSWEYdKbiV5SgqLER5eSXEEvbe+Kfhc6qQn5+PktIKSP6gLQpI3bIqHrFhzcdZ/h4kYhHKiotQUFAIDl+osUxjSCUSxqZyvmYgv6SSfd7+Y5BnF6cSBcSWSssqf5ctSaUSVJWXEvsrQGlF1R+2P5ZfhxXf2pFY8a2FiRXfPy6FmclYt2wR5gcEYon/TCxYuxPJeWWobkSoScQChN67jKFefdGjew/09vTCuiMXUELEnabyLH8NiViIt8/uYdb0qVi3fiNmjB+NIzefgisUayxfH6mQi92LZmLp+WCIWPH9j1GSn4m9m9dg1rzFWLl4HmbNX46o9EKNZVWRSsTITIzE0d3b4OPrj337DyAuo4B93v4DSCUivHtyBz4zZmL16tWYMX06Dl8LBkco0VieIigrxPXDe+C/YCHWrlmJmdMn48iF++AIGq/D8sdgxbd2JFZ8a2FixfePiaQ8HzM8usNj5goUVvLBK82Bv1cfeM4IRAlPswc86uZp9OrpgtUbtmDTmuXoZmeOpvpG2HjyNiQymcY6LH+ehMfXYdnWHJsuPUE1ub5p4cHoZm6LLbdDf9cbhxcX98HEoCl89t9gxfc/hKSqBBunjULHgRORUVgBIbcc26ePhHmfccjjNO4BF4v4CL12AE6dO2D4nDVIyi5GTc03jWVZ/jrJxJZsbDph362XkBBbiHsRhG429lhz+QlkGspXSyW4un4uegyegKS8UsYD/iXkDrpY2eJkcAS+aarD8odhxbd2JFZ8a2FixfePSdjpndDTM8H11/GQKvI+3DyGNq3b4eTzyAYdklQqwJJxXrgflsgIQZmsGklv7qFTW2PYjF6AIj7rDfo7kfAqEDCqH1p2GIhCnvza1sjEWDttKMx6DkZGSVWDOqqUpH3CaK+h6NXZlBXf/yBxj6/AooUZtp59qsiTIvfzc7Rr1hSrL79U2lZ93t08DJvWxujvtwEcEWs7/yhSPuZ5OqMLHRBVCJg8qYiDNRMGwrKnF7IrNQySxFWY1c0KIxZthEAizxOW52NUn27w3XMV/6lhnQ1/B6z41o7Eim8tSf/v//0/Jf/7v/8LiUTCCPA6iOHQf4nxMEhUj7FoO7KaagQO6QkDi474kl8hb0tCceJ7OFu1xNBFO8AnHY5qnWpeMQ6fvgmBWDWvFFP790K7ATORVyVSK8/y1yhJ+IRe5i3gOnetMq9a9g33D6+FoYEJTr2MJZ1Xw3oUiaACy6aPQVBINGZ0N8SMfdchZG30H0CM4wsnEzvqgIdfMpV2JCjLwWDHNug4fA54YvVnJ20zTm4yBvfohHYdPPAlt6LuOH2WqpRl+XvgxIeRgU5zeC9ezwjp2vxHR1bDoEUbnAuNb2BL1SIu5vSyRjtHD0QkFzBtU5wejV4O7bHx4kMyEGbb6u/gf/7nf9T0BoVN//3Eim8tTKqe74qCTOzetBpDPdwxYv52ItBkkNbUYP+icXAbMRXF3D820Yjl3+FbDReDW5nCqvMQFHHqQky4RRlwd+4IS3c/lPIaxhXX1AstkXKLMKpvd4xcvAUCaY3aMZa/RuLLO2ir0wwLt11WyZfhzd1zMNA3xMK9D4kYV69DoXHENw6sxaIt5yGTcDG9hyHr+f6HkEk4WOjeE5YObkgoUHkTIajEpCEu0Gk7gDwT1UO4ZETkPTm9DUa6unAY5YPtawMxe9ZsLFu1Ce/T89TKsvw9JN6/gpbN9LCU2JJqeNyHRxeg08QYyw8+Yd7kqdahPLuyHy2bG8DeeRAeP3uGxaMGYZTvIhRWyr3nLH8d1vOtHYkV31qYVMU39XALOZXYvXw6jFp2wJvMEpJPBMH1Q+hg1xWZZTzIiBj/5ZdfGvKNjWfUFv6HlwdzsxawdfQmIltFfBd/hWf3TrCy90Zu1W93MIUxr9G7gz0uvoxiPEGayrD8GaR4ff8sdHT0sXzndZV8Gd7dvwgjfT34rT0LsYY4+68RL9DfazKK6eBJxGHF9z8JGXz2d+0K284eSCviKPOlgipMG+KGJs26IKOeHdFJsFtGekJHtzmcvCfjwp2HuHFqL7q1MkFbm04IzypuNFSF5c8gQ/D142hGxPcqaksqNvPx8WU0IzY2b/MFSDWFkYiFuLp7FUz0mqJJkyZwHOuHLEXYCsvfAyu+tSOx4lsLk6aY7+yol7Bs2QIrTzxiPkuqCjBlylJm5njoxWPwm+mHVatWwd93BpYuCsC6Fcsw028pklU6KJZ/j/9Q8d26ofgWlGZjeHcH2Pwe8S0iImLWJExefQRcMRuz+vcixZs7ZzSK78hHV2Csr485axqKb05RBqaPGInnsVlyTx4rvv9R6Juf/i4NxTe1jbneHoz4/lrPSyrhl2ORixNaWXVFWGq+PJ88X+MeXICxjg4mrDrALt/5t0LF9zGN4jv22Q1yzfWwsBHxTQdKl3YuhUcfT3TtZIWmzQzRzzsAWcXs6k5/F6z41o7Eim8tTJrEt6A8HxO628BpxhrmYRb16AL23HgDqYSPLfNn4EHIB6R8eI7uthbYdPgm8jMSEOgzg3REv2+JNJZ/ll9kHHi1aQnrLkPVQoWUYSc9J6LoV0KIaqQSPL16FL4L1iO7mKuxDMtfI+HFbbTRaYaAHVdU8mUIvXceBkR8+++4DonK2wa6DOT1LcsxfOJSvHz1Ci9fvsTLp8EYaK2PfgvW4emLV0j8+tvL37H8AcRVmNenB6wd+iClUCXsRFiJiUNdoNOyV4MVT2g8/iI3Z1jbD0JGSZ3tiEuz0LejCRzHzgGPnYD5txJ//zJMiPhesf2KWtjJ+0cXoaNrgMV7bzUM4SLPuAf7VqJHnyGISMtDTmIU/Ae4o1kTQ/jtOEvKs2F2fwes+NaOxIpvLUwaVzshHf3BgCkw6+CGoqoS+M1ZhPxKPuNpi4pKZbxsH++dhoWFPZ5FpzOv7zI+vodAquHVHst/HTrhMmB4d5hYOyK1qE40lKZ/Ro+OZujnvx58ccN6ciR4dvUkZiwIQHpBmTJfPglXtRzLX6E44QO6tzfG8CVb6/JJh//ozDYYGhricHCEWnmJkIM9C2bDtbcb+vbti76efdHPwwNtDJuglY09PD0H4MCdDxpjW1n+JFIxDi+eAFMrB4Qm1cVriyoK4N3LCu0HTmkgpKUiHnZO74s2tj0QnaNiPxVZGNzFCF3HseL776Yi4S2sWzXH5OXbIFSsXEJ5dm4Lmhq3wvFnUWrlGXjF8HawwZTlWyBUPNfKMuIx3KkD7Ef7olxYrzzLn4IV39qRWPGthUmj+K6WIuLqPpi0Nsea9Rux+0aosgzt3GUyCU4ETIaD52hklrOTMLWRJwfXoZmhGR5EpSljTGMeX4CFSUvsuPKc8QRJBHzk5+WDL1K8sZBJSZnrmDXLH3GZBZDQFTQIpdlJOHfpJsQqHRvLX0PEIYPaIW5o7TYGFSK5bdV8k2L33HEwIcItNqeYCVfglpehqKiUWZGoorQEBfkFdeRkYryTIcZvPoEc8rmCy8ar/t18DDqFNqZtse/uW2VeUUIY7Ax0MWfnJWZQKhUJUETsSL7zpZSIvh1o0dIcJ5/TFWvkdUTFX+Fh3RyjV+wgApEV338nMlElJrt0QbdhM1CsCLOjb2l3zxoBsw69kFBQSfKk4BBbKiS2RPsySVUuetq0w8xV2yCqljuNpBIBjvt6w2HUbCK+WUfS3wErvrUjseJbS5Lqsj+NLTVYkvQO5s2N4D5qLir4qscIFXmY4OmE0UsOQEweXGrHWLQCXmEqhnTtgBGrdqOCJ4SQU4q1M4fC2WMUUgtp/KoULy4egbNTd5y8945ZpSH99SN4WrfHuJm+2Lx5s4KNmDhiKHZcousca/4ulj8Ofe395vIRtG3bDkeefyLXX4bClE9wtzfH/PVnGe+ohFeG1dPHw2v4eKQQAcHUpW1Qi4iDad0N5EsN1js/y9+DoDQHc737otvU+Sio4JIBKxen1s9Ga0tHRGdWkHaQISb4Klx7dMe2Y9eZOP2KnAR4u3WD09TFyC3jQCYR4935g2hnbovg2EyN38PyFyAi792Vw7Ds2BnnQyJIXjW+xoTC1cESfiuOysW1kIM1fpPRy204sqqEpE2E2DpnKLq4j0JkRj5jTxU5qZji0R0+6/dAJKtp+D0sfxh2qUHtSKz41sKk2fNdDV5xJhFvDngY8bXBhixZn0Ph0N4aR598Ustn0S6+xoRh8lBPLFyxFisW+WHw2Gl4HZ2oOC7Fw+M7YWVhjT1XX6GGX4Jpg3rD1sYGNvXo7jUOcYz3qOF3sPx5JEIebp/YhYGefbBz715MHjkU8zbsQTGHzxwXc0uwYORAOLsPQXxOeYP6dOLf0pGdseLMA3bC5T9IbkoM5o0fAp/5S7BlzTL0HTISd0I+QsbEF8vw6e5pdCJ2smLPRcYZQeskf3qBKQP6koHsfOzasglD3Ibi2sv3audl+RsRCXDr6DYMHTIMW7Zvx4QxIzFvzXYUVsknT9IVapaMHwzbTn2QpljRpDQ3Hcvn+cBr9GRs27kT/pMmwGfJeqQXsc+6vwvW860diRXfWpJUR6Gqnm+l0UjF+HDpCJbQ16rks+pIlsalvrq8F9aOLojMkr/CY9FOaFsKuJX4mpaC1IwsVPHknU7tcbGAhzwm7IS0P7kHOByORriknup5Wf4+qAe8oqQQiYmJyM4rYlbCUD3OqShDQXEpJCp5qvB5HAiE7AZI/yTUZkQ8LrIz0pCSmo4KxeBIWUYkREF+PrGTunagx4VcDlMnMTEZJeXy1VKUdVj+ASQoLypAcnIScvLltlS7MRKF2lJ+UbnyM9MeIhEKc7ORlJiErNxCiJiVnerqsPw1WM+3diRWfGthqvV8U0rzc5FbXI7UqFDMX7seFfz6q5cQwVZVjMCJQ9DN3RsFVVSUqR5nYWFhYWFhYWE939qSWPGthalWfEs4JVg10A0W1k6YvGQ1MjXu8iXE03OnsHbNaqxdtw5X7j5itilvWI6FhYWFhYXlZ4YV39qRWPGthUnp+ZaIERX2EpfuPmUm6GkypNrXcbWf5R7z+mVYWFhYWFhYfnZY8a0diRXfWpgam3DJwsLCwsLCwvJnYcW3diRWfGthYsU3CwsLCwsLy98NK761I7HiWwsTK75ZWFhYWFhY/m5Y8a0diRXfWpJUl/3RvMkOy49E7YNQ07G/g3/6/D8D8muo+Zgm/sg1Z9vmb+IPXPNa/ki7su309yC/5v/ctfynz/8jwS41qB2JFd9amFjP948Nt7IcGampSElNQ1kVV2MZTUiEfBQW0G3Nf+XekFaDU1GKjJQkxCekgCusvzQly28ilaCkMB/JSUlIz8yBQPzb11DE5yArIw2ppE3z6Nbzv2K/dCJ1XmYmKhTbbrP8Ofi8Knwl1zw5ORXFZb+9CQu97qWFeUhPSUFmZhYqma3nSX69crXwiJ1m5heTZ7Hm4yy/Dd1JtLggH6lJycjMyoVQ9Pu38a8qL0N5hXxDnsaQiIUoKchDUnwc0rMKGm1LljpYz7d2JFZ8a0lSHYWynu8fEyqMv8Z/wowJozF/+Ros8Z2KUdMXICJN3mloqkORCIVIj/+M1Yv9MMp/FyoF4gZl6EO1qiQfFw9twcTRI7FkzWY8CQ0DV8Bu9vKHEPIQdOEYBg0egu279mDCsH5Ytf8SEWqNX8eS7GQEzhwPG2srWFhYwra7O07eDyWiXYMNk3YqjH+PPp074058UcPjLL8JtaPctHgsnD0F0/wXYf2y+Rg4YhKex2YydqCpjkQswJNLJ+DesyssSRtZWdtiyMzFSM4vJ22iobygCidX+mNQwA7wxQ2Ps/w21SI+7pw/gmEjRmPT5i2YMGIYlu+7gHKVjY80wauqwKuHNzDaezSO3PkEmUxDOSLqM2LeYUPAfHiPn4g9R04gJiWzYTmWBrCeb+1IrPjWwsR6vn9MRCWZGNWtI4Ys2Mx4PYVVxVg+YgB6jJ2LfI6mNdyrmY7n7YM7WLN8CSxMm6PzxPWoENb3HklRkROH6YO6o233vrj9MhJCiVSx1bZqOZZfR4qoW2fQrnVb7LsXxly//Nh36N7eEkvPPSLXtKHXTsQpw7IxQzBk0kycO3ceGwNmoa2pIYzbdMKL2K8NygvLC7F4gheaGhnh3pfCBsdZfhtReQGWj/JC1xGzkFfBI0KZi8PzpqBlt0HIKJfvdKmOFIlPb6FvL1ds3n0Qp44exDCXztDV0cGYxVshqldeWi1B+O2zaNfSCG5z1kPA7pvwp4i5eQrtLTrgdPAHck1lSH//FD3IoGfh8VuNPpuEnBKc2X8AsyYMQxODtth56yNqZPXKSSV4H3QY3TpaYqDfaiRmFqGanE+mWoalUVjPt3YkVnxrSVIdhWr0fBOjUftMUN2ml0XLIe339NA60qG0wr0PKcxDkL7Ojnx4FuatzHCIiL1q0sloqltNPajcIkzoaAOHCetQrur5JsJCUJqLKR52aGXbG2/S8tXqsvx+JJxS+A1zQ3OnkSgXyvO+1UiwzW80Wjp4ILmgQq08bcPMzyEYN2slOEJ528lIGz48uAaGzZrA5+gDtfL0FfnN/RsxZcJkmJkZ4W5sgdpxlt/Hpztn0NqkDfZeD1XYkRSF8W9gpa+LgGPq15xBxMXOhTNxLSSaaR9ah1uQhgEO5tBxGIDsSvUt6ItSIzDTexxGD+gC1znrWM/3n0AmrsJUMsBxHDQVRRwhk1ct5mGLzzC0d3RHRgkZJNWrw0D7PTLYSQi+hnaG7bDj5gciquuO0/b58vQiLE2aYdDstSj7lTdSLJphPd/akVjxrYWpgeebjPQFfD5BsdEOOSYUCMDnCxhRpyzHorXIvkmxyLMLmls5ILGwSplfkvYZPezM4DFnE3ikk1eto4q4qgCTOtk08HxLpWJc3zgfOjpNsfHkI+bekJDOi/V6/3GKYt7CubUhvBZtrMuX1eDRiS0wMGiOA8GRauWpRzUt9gPCEnPV8ouTwtDepDlm7A+CWCU/NfQmxk30RcL7Z7Bobsh6vv8UIhyaNZLYUSc8T8xR5osq8jHc2QJtBs4At15csYhbhjt3H6FSpGJfZCC0yWckdGw9kFWusoGZsAprZ07GqTvPsHOqG+v5/pNUfH4FS1NDjFu2GUKVmPnnpzehqXFrHHkW86ue6oTHV2FuZN7A8y3jl2GwvQWMzLoiIquEEetMvuI4y2/Der61I7HiWwuTqvguzU/H5pUBcOlij16TVpCOhRgQEQTbZvRDR7chKKjSHK7Aol3U1HDgZdYSVp2HMZ6g2nxuUTrcnTrCwnUWSniNT+xrTHzzS7PhbtsWOkatMCUgEBNGj8WYsROwbt9ZFFf++mQlFnUSXtyGmU4zLN52VSVfhtB752Cgb4iFu+4zbydU69R6k1TzsiKDYdrSDBdCopWDY15BJmZOmYRXsbkoiH4OixZs2MmfQSbmYJ57T1g79EFyQd0gtlpQiYlDekOndT8UcNUnsjLtQ9tJNU/Ex7yJA9B9lC/4ktqBqhTBx7chYPNpcHkc7JriyorvP0ncgyswbaaH5cSWaMhJbf6Hhxeg06Q5lu5/pHwLoYnGxHfSy8vQ02mC5m4DsWSOL0aPGIlJU2fjxsv3EP/aRHQWJaz41o7Eim8tSaqvgOrCTkgnQf6lKylc2LEERqYWeJhYwBhQXMgddO/UG1nlfKUA+GtIwK2sYlZp0Hyc5a/wH14uzM1awKbLcJRw5a9hKbySLAzs3glW9iORSwZSqnVUEVXmY2JHa/WwEyIWssOfoU0TXTRp64BT918gLv4LTqxaBDNDIwydE8AI+vrnYtHMm7tnoKurh8Dt11Tyq/H+wWU019fHnLXnGU+2ap36UAF3Zd0ceE6cj4JKeXtKhBwcWrkAu84/ZmJT86Oeob2xIRt28mfgFqGfS1fYEPGdVlhVl0+u8axh7tBt2hUZv2JHtVTmxMHFvA2OP/7IeE2pMP8a+RIjxvoitaiSOd/OyS5w9WPDTv44MgRfP4ZmTfWwcgexJRWbiXhyFfq6+pi3+VKjYXaU+EdXGoadSMS4vGAKsdFm6DbWD6/eRyHq3Qv4kMFYS9NW2HcvRHMoC4sabNiJdiRWfGth0jThMv/LW1i3NsHSw3eYz6LKXEyeuYp5xRp8bAemTPbBmpUrMXn8KMydswAbVixhXnGrhjhoRoqivK/Yu3kNvMcFgCur0VCG5a/yH14+rEj72Tp6o1RliTnquR7S3Z6I7+GM+Fato4pGzzfpvFJD78NERxeTVx5kPEmyahlkwirMGeQKQzMbPP3ScNIfiyakeHvvHHR19LF853W1YxEPrxDxrYc5a85A/BvhPMUJb+Dh6IYXXzIVnlYpwm8fxcyF61DGF6Pm2zcUxb5kPN/344tRU8OGB/0huMXwIuLbtrMH0oo4dfkiLuYM74MmTTsz4lutTj2o1/t4wHQMn7tDGeol5hVj0YTxuBceD1lNDWrEPOye6gp3/w0QVdf8qpeWpT4yPLt2HHrN9LCK2pKKzUQ9vQ4jHT0s2HQe0l+59zV5vmUSEQ5PGw0dHWM8SVCEHJFjBVGh6GreCi5jfJm5GqrnYWkI6/nWjsSKby1JqqNQTRMuBZVFmObaCV0mBkJCOoewW8dx9MFHVIs52LZoLkIi4vA14hWcbNtjx9kHKM//ik1z5iCLU2/iZj1oPHlKShwOLZ6Gbq5TGfGtqRzLX6NGxsWQdqaw7jwYxSqeb05RBtycO6K96xQUcRufPNSY5zvtDRHfuk0QuJsMymrL13zDrV0LYNjCFIeffq7zHLH8Komv7qCdTlMs2n5RJV+GECLK9fUNMHf3LTUvnjrV4Jbkwm/yWJwJese8Aqf5nJxUjHRzR+Cm/bh+7TquX7+BE9vXwYSI+UX7TuLyrccoV7kfWH6dajEXi/rSsBM3JBZU1h0TVGICDTtp44p8xQQ/jRAB9/rBFUyesRjZJTwmjwq4l6e2o1+/Sbhw+SppI9JOly9isktHWA0ci0tXryMsKkXuIa9/PhYNEPH86CpaMmEnxJZUrlv4wwvQbWKExQfI84pcd/V6dWj2fItwZOYY6OjaID5fZfIztxQT+znCynUQMkr/rjfBPy6s51s7Eiu+tTBp8nxLJUIcWeEDM9teyCnNw0y/JSjmCRmPT0JiNsTVMoTdPAJzy854FZfJeAmyYmMgUom3awwZEdxvTq1Ad9dp4BHhpqkMy19EJsOK0S7MhMtkIhpq84tTP6G7bWsMXrAZ/F+JLW0s5rso/h2sjJpi8upDdbGRsl/wcJ8/mpuY4sSLSEY01JZnaZzS5Aj0tjTBkAUbFV5rguwbHpzcDEPD5jjxPKpBnVqEFYVYNm8mjgc9U8aeSsRi5CVGY+qgIejXxwOeHp7w9PSEa/eu0Guii049XNB7pB++EhFY/3wsjSCV4HjgVBhb2uN5rfeTICzPw7Du7WEzdAZ4jWzkQsVb+INrmDTLHxnFdW8ExSIhbu7dhEFudW3Ut08fWJsZw7CNBdw9+2Pr2ceoqWl4ThbNcFI+wK5Vc0wI2ASh8rkmxdNTG6DXojXOvIpVK18fTZ5vGhr5eLs/dHSM8CwpX1lWxivBVK8usHUbjEzVybMsGmE939qRWPGtJUl1FKrJ802NJvrWIbRo1Q4LFgfiyIOPasdk1WIcmj8OXQaMQ07t0lkKY6MrXzSEHlOcn5R5fTIQzi6s5/sfg1zjVye2Qt+gFYI+JpHP8rzP907D3KQ19t2SL5sm4nGQkZ4Bbr2NdBjx3dEa9kR8q26yI6wqwqjutmjtMRU8MtCiebKaGlxaPRstLTsiJDGLjYP8nYi5ZVgwwhOteg5HMRng0LwautTg7JEw7eSOxLwyJq+iqADZOfmK+RF0YFSKg/NmYNvZm8zGOmIiukViId49uISgVzHgcKpQWVmpoAqpYQ9hbmyIqx/TUFnFIbbe8LewNE7Ug4tob9oGO26+YmyG5hV8CYWVXhMsPEjfTtA4ez6yMr6igsNnPtNnXfyzIMycMgORaXnM85W2E7+sEHv2HEB5BQeVFbVtRCgpwKaJvdFz5goUlVeCx2ffTvwRZBIufD26wXHgZOZNBLMKk5iLrdOGop29O1KKOUy5iuJCYkuFDerLxXc7bCfiW/XNXW7EExg31UXA2RfKPEllIUa7dobblHmoFDXuTWeRw3q+tSOx4lsLU2Ob7JSnfYQl6bT7TVkOHl31ROWYpCwbY9w6Y9yq45AQcc3kk3NkJcci5FUIQkNC1Qh59Rq5RRXycqQ86/n+5xGSNhrv4Ywh81ejiHT23JI8LJzQH27DJiGnjM90Mg9P7YF9JwccuPFS6bGmHtTCtGi4W7VDh0H+yC6tYgQbPUa9QaFX9qGVaWtsv/0CQpEYlVlJGO7siGmrdxOhrtkLyKIJKSKJYLa0aIddt58z4iwz6hWc7cyx9qBcWEs4JVg43hvuXt6IzyuHkFOG43OmoXVzY0z3nQNfX1+G2TMmw23AKHzJLVP/DmJrdLUTZsLlF/nkaZY/hqiyCCumeqPbyKn4WlQGflU59iyZBEuHXkgt5JIyMny8dw5OnTtj/YELzCTZ9DfB8LKzQk/PfvBTtBFl5EB3BBy9p7QnJcyES1e4+rGrnfxZoh9ehF2HTjj2IIQ8l0RIDHuE7p0ssXzXBcbxQFeoWTptFLo490V6pSJOn/RZIqEAj0/vgrFeSwQee0DsTu5sYI6Tdlkw1gNtennhU2ou89biw9WT6NrFCZdefVb7fhbNsJ5v7Uis+NbC1Jj45pVkYnAPJ4TE5zcIJUj/+BId29vi7AuVV+NSMR5fOoZZs2dhtu9sNXxmz8HT90lyDzgrvv9rFKbFYt64IfBfGICFc3wwfvYifE7JUhyX4sWFQ3Ds3A1HgsLkbUzaJvHtE8yfNRU9enSHs5snFqzejIiUbOU9QCeQ3Tu1DwM9+mPFmvXwHzceKzYfJgKfDWf4o9CNcF7cPI1Rg/ph7caNGD/KG2v2n0WlYo19Cb8Mq6aOgeeg8Uz4UOL7R/Do6Yzu3bs3YN7O00S4NbTjkpRwDPFwRWhaSYNjLL+P4uxUrPGdgGmz/bEyYAGGjp2Gl5GJijd6MsQEX0Gvbk7YfPgmRPxyrJ03Cc4a2qib+2BE51XIxaAqIi7OrZ0O3y1HVcImWP4INPTx+ZXjGDN8GFatXoOJ48Zi7d6TKKfhkuS4VMTBulnj0K3XcHytVOTxq/Do1F4MHzyAaR+P4eOx+8QFZj5M7XmrCtKwevpEeI+bjPWrV2PCoNG48vgds6tvbRmWxmHFt3YkVnxrYWos5vvZkU3YePKxWj5FViND8JkdsHNyx5dchTe7FiLeaujsfQ2olnl7korvqaz4/m8glaCitARl5XTCWP3jUnC4XHUxQNrn27dvamiK4xYJ+SgqKkR5BfX+NTzO8vuRCAXkWhahiidocK1pSAmPX7uiRsO2qYWGd6nWU4Ue15TP8seorChDSWkZRA3sqBpcLo/ky5+j9HlXv33kNL66Ew3fqvmVNmT5PcggFvBRTGyJS2yp/nExsSWuQD1Ou4b0QWptpNpXKaC2xa0sR2FhEQRC9XXdWX4dVnxrR2LFtxYmpfgmIi0/PQWpmQWIfvMQ87bt0fAKVIqq/Ez4D+0DR9ehyC6phERDR9Q4dLdMDo6vnAHrLgOQUkZj8TSVY2FhYWFhYfmeYcW3diRWfGtJUp38UDvhUlJViqWe3WFsaosZq7ajVCDfAZEK8zqECL15HSeOH8fx4ydw98lLZtUM9TKNU0NIj/uEEydOkPrHceX+U3ZTCRYWFhYWlh8QdsKldiRWfGthqvV808l0WamJ+BAVB66w8a3HWVhYWFhYWFh+C9bzrR2JFd9aklRHoapLDVJjkcecNhzBsrCwsLCwsLD8XljPt3YkVnxrYWpstRMWFhYWFhYWlj8L6/nWjsSKby1JqqNQTZvssLCwsLCwsLD8FVjPt3YkVnxrYWI93ywsLCzfD5qW/mRh0UZYz7d2JFZ8a2FixfePjBSVZcVIio/Dly/xKCqrbLjBRyMIeVXIzi5suBsfOaeAW4lkcs7YmC/IzCmASKy+syWdvFteVIjEOFKGfG9+Ed0qXfUcLLXQjXYKcrPItYxBUnIauL93HWFis2VF+SgoqdJ8XAHdsTQjKRHFdNttDccpVWUlSE37+geXDf2JINearvOckpjA3PN59H7WVE4F+kyl1zU5Ph6xsQkoKm3YTiI+D19TkhETHYv0zBxmV9P6ZWoRCvkoyMlC9KdPiErIgJjdjKcB1JbyszMZW0pOyQBX8Nu2RHe4zM3MIHVikZKezezaq15GioqiAsSTc8bGk3Ysr2rwLBPzuaQdk0g7xiCNtGPDc/y8sOJbOxIrvrUwseL7R0WKhI+v4D3YC0s3bMe6RbPgNWoqQuNqd7jUjJgIgqjwV/CbMgYDZm1DhVBFEJD7hO6aOWvUILRt0watWraEmW1nbD17V7lCDrNr4/3LGO89Ept27cfe9avg4TIAZ55Hkfrq3/WzI+ZzcGr/Vnh6DcaR4ycxybsv5qw/jBJu40JZLuqKceviCfTp4YQttxvf5poKxOzIV+hqZYWgRraXlwgqsX/xDAyaNAtcKbsZjybSv3zC5LHemLV4JXZvWA6P/oNx812ixrJypIh5+wRjhw3BolUbsW2JHzwHjUVYap6yDK8oB7v9Z2Hq3EU4sGc7Bg3sj/UHzqCCVycYaftJJWIkv3+JJT7TMGrURBw7fR2JafnsQKkeUgEXZ/ZvgdewEdh/4CCmjBqM2WsPoojTcLOdWgScUhzavALDRo3D/n27Mc7TAysPXQJXVPvMkyLuyTUMc3eFo4M9eeaZwZm0Y2RKjvIc5YXZWDtvBmwtzNG6VSu0aW+Fhet3oZzb+Pf+TLDiWzsSK761MLHi+8dEUJgKLzsLjFlxADwioKVCLjZNGILOg6cgu4KvsQ7dLvtV0A2sX70C1q1aoPPE9WriW8wrx7xBHpg4dxkePQzGka0rYNe2BQxaWODehySmTGHyB7jYW+HgrVeKXRclCNrkB+OubijhNe7Z+/mQIvz8AbQ0NcPpkC/Mta9Mj4WrhQX8D9+AQKzZJkW8MhxZtx3zp42Grk5TrL/ZuPjmleTCd7gbdI2NcO9LocYyr28cg6WxHvqOngo+K74bICzJwdyBbugxcRHK+GSASQaXl5b7orltbySXat7dtSI7Hl49O2PUkp3MRmVSIQerpnjBfuBkFHNFpK2lOLBgAqxdhiGtqJJp+9hXd2DVphXWnApSCSuRIuTMQWJjzTFu4XpkN/J9LNV4f+EAzMw74vrbOGaX3oLYMLjYWGHG7vPM5/rl6du5q7uXo23H7nhFHRKkDZJCgmBJRPTBWy+ZOsKSrxjo3B/XHr1GTk4Wru/dgNYGBpi2+ZR8AzoRH4cC/eA+ZAZu33uAqycOwMnSDDo6uth57VUDD/nPCCu+tSOx4lsLEyu+f0RkuLNjGXQM2uBJ1Fdlftzza2hv2op0DCFMZ6NeR46M1K3mFWNSJ5sG4jsr4gXGzt0EsUyxBfO3bwi7vBcmBs0wds8tSEndT0+uwNS0NW6+jlKKiIynB6Db2gpxRTzluX52xFVFmNavO4x6TQJXLM+r+SbDvoUToG/rgrjcsgZ1GIitfvv2C9IfX4OxbrNGxbeUCIPTGwPgN2chzFs11yi+S5M/YcLk6ZjRvxc8WfGtkXdXj8C4eVscvPNemVec9gl2hjqYvedGw/ATIupuHVwBAzNr3PyYrsiTIjP8LoyIKNtxPwKc3AQ4tmuJyQsOQaioJ6osxKwBjmjVtQ/iy+Xe76RnZ2HatAkGzt0KjuobKBY1ZKIKjHK0Rdehs1HOU4R8SAXYO2cUzDr2RFJRw0GLsDgFXW1ao/+sVcT+5P2fmAxs/Ye6wm7gNBTxpYh6dB5PozKYwRE9LuWXwae7Ndz8toMjqkYJGSxPmeyHfK78O2XkuZj5Jghmhs0wwH8NeCK2X2XFt3YkVnxrYaovvqUiIcqKClFSWqnMqywrkcftKj6zaDeyGgnm9LRDCxtHpBbVxZqWZcSgV8d26OGzVtnhaEJcVaBRfOemfsGXzCK1siUpH2DT2gQ++6n4rkZqeDAsDfThPiEQBaQjlFVLcXLJFFh1GYIyASsgasmLCIGjiR5GBGyry5d9w5OzO2FgYITt9z78ysQ6GdIeXf0V8S1D1MPTmDRzCdI+P4dFi4aebwmvFCt9xuPGy/fYPmE4+rDiuyFSEXZPGgITaweEptSFjIiJUB7Z2xb6npMaiGIxua5zBzmjvX0fJBfUPUMFhSlwb9cMfWasIG3yDGYtjDF9713lILhGwsfqBZOgb2yBux8ymMHZsC7maNK+C+LyyiEUCJhQE/nbpLrvYyGDofAnsGhugCmB2yFU8Ta/vLATTZq3wt6HEQ1sKebBKbTU10PAjjOQKK6pVCLCtQ2zYGjSFvdjM5lVwFTrcPOS4GrXAbtuvGAcDaU56XgflaBW5j+VWehsZYb+C9aB9yvP2J8FVnxrR2LFt5Yk1WV/6pYaJOIsLx1b1y6HMxFeDsPmoJyIJWlNDTZN84CNsxtyKviMUGfRbn6proSHmSlsugxDMVeozOcWZcDduSOsnKehiCNSq6OKqDIfEztaw2HCOnIPiFWO0de1qmWrkfnhPlq3s8b1N1+YPDG/EkcDJ8OoqR56eE7Erk0r4Np3Ej6nFtSr+3Pz5fkttNKlnf/VunzSoYfePw99fQMs2HqbGcyo1qmDDHIeXkFz3aZYdyNC/RipU54Si2lTpiPyaykKop+jvbEh7sbWXX9ZtQTX9qzA4g1nICCib+e4oXAfNQU8SY36uX5yqkWVmN2nJ2wc+iClkE60UxwTVGLiEBfoGLshr6rOviiC0iz0ceqEtgPmoFDVxjhFGNLdHC36TUXix2Aivo0wzn8nGfDI21hWLcK55XPIwKslLj+LQtK9k9Bpqov2XR0xYthQeLq5opdrH2w4eIWJC1ee96enGtH3LqJFMz2s2H5NzWbeP7oIXV1DBOy6y3ivlXWInd0/sQXN9Eyx7sq7umOkH3xyeiN0DVpgz4PPyvJ0MFtVkIPV4/tj4Fgf8uykczIU56oHPz0Cti0NsfXkM43HfzbYpQa1I7HiWwuTqudbKpFCKODh5sE1MCKj/6DYHOZhlv7xOXp36cPECosFAnCqOKiorASHw0EV+beS+T8X4nqeAk2I+FykpiQiKfUrePzfubIDyx/iP7xcmJu1gK2jN0pVJnDxiDAY1N0eVvYjkVvV+ISgxjzfDZHgbOBMDPZZjkKV8wnL8zF3bH8m9lFPXx9zd5wkwo71AtUhRei90+T66GP5zutqxz5SUU2umf/a8xA36uVs3PMt4pZj+yI/HLlJQ4tqGPFd3/Od9u4Rxk+ei4zCCvJZQMT3MNbzrQEptwj9XBxh29kDaUWcumMiDnyHu6NJ067IqGdHnNx49HIwh/mAuShShCNQZLxiDHexgk73sSjOToaLpRlaOnkiNrsYNTU1qJHysdt/IgwMzXAz5AtOr/SDjq4OvGYsxKe4RKTERWP2xOGMON92+hHEKt/5cyND8LWjaEbE9ypqSyo2E/n0OgyJjS3YfBnSGhVbkn3Dle1z0ETPBBuvhpPrrzgmleDlxW3QaWaMVVfClOXDg2/A27U3WhjqQ6+5KZZsOtdoGNCjU5tg13UoMotV7pefGNbzrR2JFd9amDTFfBclfEDHNiZYsFcuDASlXzFt7ibwxBIE7VmDadN8sWndWowc6gU/34XYvn4lvEdOQ0LBry97VlWQhQ0L/TBs2FA4OzhgxPzVKOE1vrIDy5/jF0Eh7MxMG4hvfgkR385UfA9Hzt8gvjM/BaO/6zC8TsxW5tHVGWJf3seoQUMQsGQxnOzao4lBc/jsOtPoJMKfDynC75+Hngbx/enBZSK+9TBnzZk/Lr6JeHh6bjfmr9qFKqGUEXWFMS8Z8X0/vogJWRCVZiJg1kw8/ZwKGREdMpkQu2rFt+w/vxLq8hPCK8FQV6cG4ptOoPQbRsV3Z6TXsyNufjJ6d7HUKL6H9baGjtNoVPAFuLVlBSxMDTFo3DScvXABm9ctg4Nlaxi3s8ezpEJsCZhBRGBLPI2vC3cpSotAd9s2cPKaicJfWTry50KGVzdOwkCT+H5CxbceFmw630B8X9+zmIhvU7n4rq1D7OfFxe2M+F55+Z2yfEV5KXKys/Ak6BLcOlrD0MIZoXF1K57IkTIDL+/+A3D1nfwtoPrxnxNWfGtHYsW3FiZN4ltcVQLffo6wGbkIkm81eHJmNy6GxqFaXIXtgSsQm5aDnMhX6GZjjoPXX0BYUYgjK5Yin/frD5yQm8ew/fgllJSUIOTScdiatcGNiAyNZVn+PDU1fAy3aAmrzgPVltriFKbBzakD2nv6kEFP428dfo/4LstJwaQxY3Dn1RdIVO6fwpQI9HXqiDUnb5HPUmTEhqOHox2aGJnhVWz9DuvnJTnkHtrrNsWiredV8mUIuXsWBvoGmHfwHiSNTIptTHxXpsfBy7Eb5ixejT2792DPnj3YuMgfxnrNMDlwA7YfOo9Tu1fAwWMYdimO79m9E/0d7clArTt27NmHmy9+Ldb850Im4SKgf28yWHVFUj59SyDPlwoqMGFwL+hYeBKBrS6ChRW5GNDDAe2IjdGQFGUdYlODndqi9cBpqBKIIRHyEP40CPt378bOPftx8exxuNm2hR1pm3yOGLuWzYSOQXt8yK6LG5fwy7FkQCdYdXNBUuGvOzp+JlKCr6OVnh4Ctl9gQkpq88MenIdOUyMEHH3AhJbU1ZHhybmd0NNvgfXnQ5hBKZNPxPeTk+vRxNAE+59Eq5SXQ8/x4eZRmLWwwMUnkWrHeOWFWO07CQcvhjBvi1WP/cyw4ls7Eiu+tTBpEt8yiQin1vqitbUzMvIzMN1/OSpoiIiYj4ysYuYB9/rqfphbdcWbhBxmokphagpEKg8+TSREhJMOSS4GJZX5GNG3B869S21QjuWvQTuTtRM90dyiE+Lz6kRDcXI4nK1MMWLpdvlSWSp1VPkt8S0qzYX/zKm4+uwdxIpwErq+Nw0jenf7MFq2tsUzlUHVl5dXoaerg8OP6rxJPztlGdFEbLVG/7nr6zpr2TfcP7oOhkbNcS40tkGdOjSL75KMeMybPBmjR4zACIaRGNTXDfpNm6B730EYPH0Zjh/ZA+/RYxTHCd7esG9nBtM25hg2YhQ2XHiAmkZF/08GEWNn1sxC8/Yd8eRL3dsdUWkOBnc1g8MoX/DrbzAl5GDTtAFo16E3ovPKlflV2fFwatkUI+ZtVdtMhy55R5+fj05sQgtjU6y/eJ/kS/HswAro6BriYXTdakUSfgWWenaCnXM/pJewYQ218L5+Rsc2LTB68QaV55oUj4+ugr5JG1x8G99gQJkZFoR2LQwxb9NxiGv7LfIMOxUwCUat7PA6WfO6+AVJ4bCzc8KNV3HKPBGvHHvWLcWmfUHKCZ/0DSCHLyDtq17/Z4MV39qRWPGthUmT+KbEPzwJE9M2mDJ1Lq6GxKmN5mXVQuyYPRLOQ6eggNt4WMKvUZYSiaFe3khWjaVk+dv4eOUgDPVNcOlNrLIDeHfjENq2NMeJxx8YLw6/rBifP0SgrEp93e9fE9+CkjysnTACB288BofLBZfAqarE40vHcOt1HD7cOYJWLS1wP6yuwxOVpMG6SROcePZR7Vw/MxJ+JVZMHgKTrn2RowhP+EbsavXUwWjXbRDSiioYYZaXloyYuCSI1EJ2NItvOnFaJBTVIRIjJ+IpM+HyZnQO+SyCWKxynIGDbWOGoM/IyaStpb9r3sbPRMKLW8wbuvUXHimegVJkfwpGG71mWHM2mMkTcSsQHRGBgmLqpZYilNhem9YWOFvrPSXP1+j7p9C0mQFOP49Xe95Skfbp5R1072SFUT7rUaTwlpclv4WlflPM23dL+WZJWJGHUb3s0H/aWmYyfO05fnZqpAIsGe4OB8/RyFLsYSARVGDl+P6wdvJCZjnJI9cwPz0ZUbHJEJH/02fcyB52cBs7F2UK+xOU52N8n25wHj2XXF/yHBQJUVXFVWkvGaLunYFr/9FIyJUPrOhGPQc2rcDSzSdRSsrS5yGXw0XUw4u4EBz+02+GxIpv7Uis+NbC1Jj4rsiKgp2xEYbM2whxtWJdZwWi4q/w7tkJkzbSDQwU+UQoJEe/x52gO7gXdFeNO0H3kZFToqwvEXBwfv0i7Dx3v64+y9+KhFsM3yHu6DNtHrKKylCWlwafYb0weLwfijkiIowluLl/A0xatMSm8w+J8JPXox1OZlwYelm0gV0/H6TklxLBJu/oBVXF2DF2OIz09TF05EgMHz6cYdigfujqPhwJ+RWoyIjHsB4OGLd4A/JKKiHgVuHR4a0wt+uK+Ow6TyCLFEkhd9HRxgKrz9yCQCBA/Nt7cLBqi91nnkAooQKhCFMGuKBDNxdE55Qy9aitCnlc3Dm8Cc10dOG/6xaqeHQZuoY2zGw2EvVMudpJg+MMAmwfK1/thJ1w2RC6sdTWuZPRwWskEjILUFVagDUzh6FTj37IK6dCuQZvrh1Cu1YtsWjLUeZZKSjLg99IN/QfswDZRJBXFKRj1sCu6DF+KcqZwaxU7hktL8b9MzvRs5sjpi3dhvwylUGwWICjSyeinU0XvIxIAJ/Pw4NLh9DBvjNuv4mqK8fCkBJ6F506dsTOK/fB5fER8eQaunawxNZjiuUcBeWYOdQNrdvZI4WKcdIGb28eRqcOnXHhQTh4xKZeXtkJ2/YOOPv0M+M4+Hx1P7wGe+PA7WdkYFWKlJgwTBwzHMfvvCIDXXJv8KtwdtNSGBq0gJvHUOXzcPiwYXCwdUR4WmM29/PAim/tSKz41sLUmPjmEYE91M0FEenyTl+VlLCnsDG3wxXVV+NSMZ5fO4MFCxdgweKFasxbuAQvPqUw3lb6ivXdvbNYv+cQ+NSbR777Z381909Rmf8Vq2eNwwzfOZg9fTJmBqxHcl7tIEiKd9dPw93NA2cfKbynRKzFvXrAhJQMHDiQdDzD4L98LcITM5nOKOXTUwzx8mKOqeJF8gIPXyGCkZyDtGfWlzDMmzEOE2f4YsnC+Rg2cQZCo5KVv4tFDhVgkS/uYNKwgVgUsBRjRo/C/kv3wFNsb023ft/m74Ph42Yp12uXCHi4dWgzxo70ll//UeOw5ci5RrfRLkn7hAnew/Auo6EdyxHi2vpALFq7GQKp+iCbRU5lcS72LvPFxCnTsWDOLIyZsQCRabnK44kvgzDQsy92n6r1jpPr/jUG62ZNx7Tpc4g9Tca0hauQkS+P36bLCoZcPYuAuTMxa34AHr78DKFyS3MF5JkoqSrFoVWL4e09CosXLcTA8VNx6/UniNjnZUPIcyfi8XVMGTOC9EELMXbseOw7d6tuq3gxDzsXz4aH11Rkc+TzXaQSPl5dPoqJ3uOxeMF8jBk7BufuvlZcXymSn16Dh4sLnJydMXWWHxasWInnYZHKULvClM+YMnKoxufh7OW7wRHUTbj9WWHFt3YkVnxrYVIV3/RfKoQl5KEUtDUAh6+/VYYO1EJXSHhwbBM69ejTYNKPrKYGv/zyiwa+McKbPiDfP72J5ftOgiuUMF7Wxzfvg8N2Jv8YNTXfmOssIp0QXf2iNp8Z8BCxTducaRuaT/5Py9O1WVWhqwFQUUF3cKt/rJZfvqkLN/pdIvK9AoEQNd9Yj2rjyMi1kjGbqNC5FA3ircm1V/tM+OU/6tf+P//5pUEZOdSuZfgPKVPfjlWRKexUXl5zmZ8dej9LxCIIhWI1O2JQ2gdpK5VnGVNHKLe9b8Su6upIUFpQSmyD5P+GbVB7pOtP0zcjtC1/rR1Z6Oo91RCQay63JRXbYZ53lHr2RD7TjcCEQnJ9yfNN7frSY4prT5+Xv6i1FbEVclzVDlWhfV5d2Z8XVnxrR2LFtxamWvEtlYqR9DkcYZ8T8eL+RSw9cl5DvJoEWbEfMc7DGR27D0BMatYf8sJEPbsOO2tzdO/jiQH9+6OfWzeMD9zPdigsLCwsLCw/GKz41o7Eim8tTLXiW8wtxcqhnjC1cMSyvSdRIdT0ykyET8GPcePGDcJNPH/7/ldXzVBHivSoN0w9ys2bhFu3kKASC87CwsLCwsLyY8CKb+1IrPjWwlTn+ZagIPsr4pPTwa8ff6gKfRWnQOPx36C27l85BwsLCwsLC4t2w4pv7Uis+NbC1NiESxYWFhYWFhaWPwsrvrUjseJbCxMrvllYWFhYWFj+bljxrR2JFd9amFjxzcLCwsLCwvJ3w4pv7Uis+NbCxIpvFhYWFhYWlr8bVnxrR2LFtxYmVnz/wJB2LcrNwqf37/HuXTgy84t/Z1tLwa0oQVJSlsbtxsV8HpK/xOLd27eIiEoAVyDftKIWKd0lMyURb9+8QdiHCOQVlyk3H2mIFKW5GYj9kvIrZX5cJEI+0pMSEP72HT5+ikIFV32rf02I+Fxy/WMU1z8R/PrXn7RZcW4mIph2D0NSWma97elVyopEKM7PQfSnj3jxLAT5ZbwGZWQSEfm+KBSUVDQ49lNAbKa8qACRHz+Qax6G1K+5mncUVYG2QUl+trwN3r5HZl4JsT31MgJOJb5ERuANsZOouCRw6rUj3TW4lNhvxAe5/SanZDXcjEcFblkeoqMTf9otzcUCHlIT4hH27h0+R8YSW9K88ZQqQh4HSfRZRupExiRqaAMpKooLEEXs493bcKRk5Ck32akPXQe+OC8b0eQ+efbkFYorGtqSRCxEUmwU8op+Dltixbd2JFZ8a2FixfcPCmnTz6/uwdPdDau2H8C2wDlw6e+NB59SNJcnUHEgIp3Rm6d3MXZoP/ScsgGVAtXOXgpBVQk2LJ6F/kPH4uLFcxjv3hP+20+gnEe32qbCnItrh7fB3socRkaGaNqkCRx6uON1bLpGcS0sL8DcMZ4YPD4Qkp9sYwoRtxy71gagZ58BuHD5KqYO74MJCzYjv5LfyEBECl5FEdYunIkBw8fh0uWLGOPSA/N3nUEFr3bXPhE+Xj+LEUMGY83eIzh9cCtcejhj29GHENc7V2VRJg6tDIBXXy8sXrMTHz7GEyFff4lRKb5+eo6uVra4+iKy3rGfASkSP4ViqFdf+AZuwLGd69C7lwtOPYmEcnOq+hDb+xB8E/37uGHZpp3Yv2o+uvfsj6dfvirL8AsyscFnLLp0doStVTsYmrTGwi1HwRPVPosl+PDsJgZ5eGDTniM4uXs7+jn3ROAxlV0bVRHzsc1/FPp4+4Fb/fOtIiXhV2Lv+mXoM9AbJ06fwbSRAzFy/ibkMlvJa67DKy/E5qW+GDRiHE6dPIYx5Fnmu+UIeebV2cDXmDcYQNqR7vR7bPsauPXwwJWQCPXBF3luVhV+xWFiS/09PUmb70PYh3jwNCzXmx72BPbWljj3+OewJVZ8a0dixbeWpP/3//6fkv/93/+FRCJhBDjLj0NVeiScW5vAd/dlZiMkWbUYR+ZOgoXLICQW0m2uG9aRyaR4fe8uTh8/DMe2LeEwYR3KSUekLCMR4vhKH+i17ICoQi6zVGRp8kd0tmmLwEM3mO/5dP8Merh749GLcCR9icbOpbNg0EQXVr1HoUqs/n3V5Ddd2roAhkSgDxm3EpJvNWrHf2SoV/PxvnUwMTHDvZhcZqMpcXEWBne0xJh1B5kt5hvUIQLr8LLpMGrTGdFF8utfkvQedpatsfZoELn+UpRlRKFfFxvsuvUS/6mpYcpE3z6IJqY2CM3lKr67GkXxnzCiWyc4kQHZm7hMplz976MDAGFFASa4dYCubitcfxbVsMwPDjc3GeN72KP/3A3gM3saSBG8YyWatrbFp+zSBuWZa5vwHj07WGHW5tPM0qzVUhH2LR6Ndo4DkFnGJ9e6GscWzsXqrZdQVF6JkvwMrJg4DAZtbPA4Ppc5j6AsC+5m+th37yPTNjLSlpG3D8PWxg5vEjIa2O/bKzvRXFcXfYbPAZf8BtVjPzpU5AXvW402ll3wJDaLXK8aVGXEY4CDHYYF7oRE070tJc/D5VPRvksfRGaVMnVyYkNhb9kKG07cYnZyrq7MR+8ObdFv5npmPwu6Y+atA4GwtO+BUGIztecqTY3BaHKP2PbwxMeUfGZnU/XvoveFFPzSbEzt7ww9fVOcf/Rz2BLd7VNVb1DY9N9PrPjWwsR6vn9EZLiyYR50jczx4kuOMj8pJAiWpqbYeC6YEQDqdWqRQcIpxKRONug8cT0qhHVeNm5BCrpYmsJxxip8o50TyftFJsS84R5o330IUguKsGmeH4I/pynPLxPz4O/lhGZm1kgqUfdCpYQGYfrsRRjj5Y6h41dC+hN5voUVeRjn3hVGHrMUoq4a336R4cjSadBv74TozIabT1XkxKMzuf7Os9cqt6Gn1993oAva9x6OjBIe0l4/gK2xKfbcCVGWKYp6hKb6ZrjxOZ/5zCtOxdgeHWFi5USEd3ajO8zSNty3ZBqWrt4MSyI2bzyP1ljuR+bluT0wbG6Oo4/qPJVlGdHoYqyLyZvONXxDQUTd5Z0Lod/WBveiM5X5uRHBMNHRwbprbyDmluDcxWvgKDyjVFx/vnMGbcwscOuT3DtekvYeOqT8kYeflOfICbuFTrbtcftDopr9lqRFwGPgRMyfOhwe3v7g/WSe7xpBMQZ3skT3kfNQwVd4m8mA5+jC8Whp44QvudTZoF5HkBcLe4uWGDx3LXhieZ6EX4ElIzzR3mMs8jhiRN0/LG+DkCRlvTJyrbtatsGUjaeYN0nc4gxMcrGDIbHZ8PQiZbkGiHg4uW4RFi9fAeu25jj/+OewJdbzrR2JFd9amFTFN41T5JSXIik6CnFJWUoDykyJx8eY5N+Mc2TRDmQ1YszsaoWWts5EkHGU+RVZcehl3x5dp60CV/l6uyHiqgIN4luK+JBbaN6kCRbtuaYsSz1yV9bPRHOTNjj/6iNiPkWQzkzltTi5Zw4snwpDc1ukV9bFU1blpmD2xIl49ekLZozu/9OJ7+yPL+DQXA9jl++uE3CyGjy7sA8GBkbYeDu8Xh0pYp5ehVHTZgjYf6Mu/9s3XFg1FUbk+l97n4iypA/oYdECXd1GISq1CDKJEMdW+sC8uwfSORJGtN3cvxaGzZpi7r7zKCsvQ0lpGQSqbaYg/tl1jJ63Hikxb9Gujd3PJ76lQmwbOxCtbLrgXVqBMl9cVYzRbh2h4z6BCGj160aFtU9/J7Tv3B+pRXW2JyxKRx9LA7hOXcpsYib3DMqP1UhEuLQpAL2H+SK3Uh6nzC/KgFNLQ5g7jcCHr0WoIWLy1Lp56Oo0CAnZpcrz8iuLsMZnHG6GJWP9vPE/pfguePsI5s0NMGPlHubtmzxfipDLe6Fr2BI76NuDenUi7hyHib4Blu2+xHjGaZ5UIsatrf7QJ7YU9DkZ2329odOsPaLyypX1JFWFGONqDwfP0citEuDu/tVo2kwPi/aeRWVlGYpLyiBsEBMuxYegc5jsvw6xn0NgTsT3BVZ8s+m/mFjxrYVJVXyXFWRi345N6NWlAzoMmIFinhhSIq52zOwPy669kFXecAIJi/bxi7QCbm1MYd1lOEq48lhsCpd06G7OHWHddTIKOXX59dEovqUSvLtxCDpN9LD2Vp03rlr2DQ+ProKeUQusuRyKGoVHXIlUjJVj3eA0wJ95dUvzpCIe9i6dgV0XHkEiqMDUUT+f+I55ehOmOnpYuqNuIEPfOoTeOwcDfX3M33yTiAKVOuT6h1zZR8SAETYFfVbmS2u+4e7BZdAzbIHNN94RkSbEraNb0crYEB279cKapQvRb9hYfEpWDKZ5ZfBx7QAdA114Dh6KEUMHo0fXrugzcBSeEgFXOxDgFaRhZP9B+JJbhoKU9z+n+BZVYoZ7D9g49EFKYZUyXyqoxMQhLtAxciECTN2OhCWZcO/WEW0HzCE2VjfYlHIKMcS5HZp7TEKVclKfFPyqCjw5vRc97e1w7un7uoEYbe/zm2DarAks7D2wZIE/Bo6YgdDPaXVOELEINw+sxPxNp5lzrZn7c4rviLsX0JwI4BXbrymFNOX9o4vQ0THEkh1B5DmlWqcG946tRzM9U2y48o5588Dkk+v65PRG6Oq3wM5bbzDb2xU6ln2RXaEycZO0/ZQhvdGisyci41Iw2a0TuQ+awrPvAHh7D4eTQ2e4DhyJZ2FJysFVUdpnTB87GR9TCpCb8JYV32z6rydWfGthUvN8k3/FIiEendoCoxZtcCVC/go0N/49+jr2Y7wyQg4HJcUlKCgsRElpCUrIv0WFRSghI36RBu9ZfYTcSsRGROBT5BeUc357ZQeWP85/uLkwb90Cto7eKFVMxKPQmMOhPRxgZT+K8dqo1lGlMfH99ORq6DTVx/pbdeKPemufntsMAyL+Fp581kB8V+V+gb1Ve1x/pXh1Szq697dOYcbi9Siiv+GnFN9SvL5ziggDfSzfeV3t2KdHV2FMxLf/2gsQqwgJOoh5eDSQiO/m2BIUVZdPrv+jU+ugb2CMpedeMddfJORi9+wJ0NXRQZOmzTDIfyMKK+UisSo7Dh1aGqO5VSdcefyaseN3wbfhaNceVp28EJ9XyQyOdsweiwNBrxgxWJj8c4pvKpj79XaEbWcPpKl4satFHMz19kCTZl3xVeGproWTG49e9uYwHzAXRdy6CXcyfglGuFhDp/tYVPDlNskry8Va/1lw6mQHPb1maN/BFU8+pCnr0DbfOm8U0440/GGE/wpklNYNAjI+PsPECbOQU8Ynz27JTyq+ZXh87SiaEfG9itqSis1EP7uB5sTGFm6+TAapKtdE9g1Xts1BEz0TbLwaXvfMIv3fq8u7oKNnjMCzwZjUlwxSLfsjp6JugFUjqoLPiD5o1sEdD1++Rqe2pmje3g6Xgl+jqLgYYU+DYN2uJSyILaXkV0AqrMC+5f44duclswoNK77Z9G8kVnxrYdIU812SFoXO5q3gt+Mc87qOV5iC6Yt3gi+R4sr2JZg8zRe7t23BYI/e8JsTgAPb18Nr8DgkFNR1DJrgFmVh49KFWLk8EKM93eE9bz04Is1lWf48/yMoQgcN4ptXkokBzvZEfHv/KfEdcmEbI77X3VYX348V4m/Biadq4lvML8e++dPhu+uC8lVsaWIEfKbPRGRaIePBk5IyVHwPHr8KYsWES+W5f1ikeP/wIvQ0iO/39y/BSF8Pc9aeqSe+yeDnzGZGfG++oy6+Hx5bKRffZ4n4lkkR/fwaxgwdjN0HD2KYmxOaNDGA16hVKOCLUfY1EmZEfLvM3loXMkFE3vVDa4gAbI59N0Lw7MIBTAnYppz0WZAUzojvK8/rJokpv/9Hhgjm4a5ODcS3VFiFmUPdiPju3EB88wpS4NLFCu281MV3Na8Iw3tZQMd5DMoU4ps6OoqLi5CVkYITm1bAhAy6+vtul3tvyTVOfvsE/V08cODwYQx374am+gZw9wlATimHiPxUBMyehicRaUx7SCRiIr7HwX24v8qEy7rf9SMTcvM0DDSI74jgK8TG9Ij4vqAuvqtrcHPfUiK+TeXiu7YOuWbPz29lxPeKc08xfVA36Fipi2+ZsBLTh7tCz9YdQc9eoL2ZKbpNXkNstUZ+nAwGzm2dh6ZNDXHu2UfybNyFBav2MLHotE1y49+gHRHfZx9FM2GeP3obseJbOxIrvrUwaRLfIm4Z5g1ygtWQuZB8+4agw1tw+0MKqkUV2Ll2C1JySYfx+QUcrc1x5M5riDilOLt+NQoF6oZXn7h3T3Dl3ksIRWIkh9yFfefByFZ45Fj+PmpqBBhp3QqWDgNQqCKyOYVpcHPqAIsBs1FaOzFJA43FfH98eBa6TZph9cU3deVl3/DgUCAMjE2w406YcpKfWMTHnZM7MdN3G8pVltw6tdIHXT29sGrVGqxetRprApehS0dL2Nr3wOrVa3HrWf1Y5x+TlNf3YdGkKeZvOaOSL8OrO2dgoG+IBUcekGurWkeKd3dOkMGPITZcfqfMp2End/YugX5zE+x9+AlVGXEY6mSP5YeuM2ErpZlJmOPZGzpN9LHv7jtUZsfAomUL9Fl8iBHXzHmI+Ih/dgVm+k2wZMsujHd3gPecBVhL2oe20RL/GWhuaIxRk3ywaetupBb+HGsUyyQ8LB/oAstOLohXifuVCiowfnBP6Nj0R7HK4JYiqsjDoJ4OaN9nGnJVn22VBRjcrS3aD5necC1pgqiiAD5DesDRzQdVNTUQlGbDq1MbLDh0g/GYFmUlY/LIAUSAt8Dh6y/IQGwrGVw7I5DYDG2j1atWwb27PdrbdcXylatx7lYwGfCqf8ePStrTG2hNBqxLtp2FVMXrH/bgHLGX5lh2ov4EcxkZYO6CPrmWa8++UAk7keDJiXVoamSCI08+YeH4/tAx64WvpSrhlqTtpwzsAbMeAxAa/g42bVrB2XcXar7JxTcl5dFxGOvpYtORoxjcvTOGz/LHmtVyW1o8ZxqMjIzgPX4GVq9cS87duBPkR4AV39qRWPGtJUl12R9NSw3SmeKXNi9AKytHxKVEw2fhevnMfLEA+QUVzAPuxdltaGvXE+9TC5iJKqXZ2RCTfNXz1EfI4zKhKbT82xvHMWn+BvDFtV4alr8L6g3dMnMI9M07ICa7TJlf8OUNurY3xsTVeyFUeMfoA7L2eC2iynxM7Ghdb6nBahTGh8OihT4mrzmCb4p61NO9x3cUTM064UUsjSsm5xQLcffCYfgt3obCCiFTjn5PeXEpgq+fRODyQCxftlxOwCJ0trOAVceeWLZ8BW69fM94oGp/y49KRXY8+tq3g8uslXX5REgH7QuEERHS18MT5NdS0YnR658T/ZpcfwNMX38cMnKM1qn5JsOOGcPQwsweoQl5iA6+CvPWbRAUFi0vQyhOCIc1EQMLDl6BpCofIx3boMdIX2Y+AD0HPX/Ck6tEfOtj/f6zzFrWy5YuU7bRvNlTYETE97Bx07Buy06kF1fW/eYfnMtb5qN5Ozvci6pb3k9Q/BUDOpmi58QFECiWz1TakYiHXX7eMLN1RkRW3VKEFRnRcGjeBOOWHCCiWP15S6kR87Fm7kQ4jQiAiIjB3Ij70NU1xKPoLEUZ0v7xb2HfvhUCDpzG51d362yIsGzZMrh264B2No5YvHQ5zgQ9Yd421f+eHxFhbhy6tDfF0HlrIFD5m+/vC4Bhy3a49TGZaTtVW8qPeAwLUyP4rj8EkaLfkpD+7dC8cWje1hEf04twf89i0gZGeJ5M+jjFOelE2AGdreE+YgEKctPh3bU9ug6Yggpp3fKCafdPMDHoB89dw97tG9Xaad7MScSWDDFw9DQEBq5CVoVAWe9HhF1qUDsSK761MGnyfFNSnp6DiUkreI/0wb0I2vHUHauRCrBp2lD0GuGDEr6ibj2j0wQtJ+SW487JA3DqaImJAetRpbaJC8vfRWzQKRgbtMDJFxHKSVwvL+6BWWtLXHwZw4QTVRXm4tXzlygo5arVpZ5vKr47T1yn4vmWvxGZ2qcLzHtPBp90YEw+twTDendGj9G+KKYTzMQivLhzDuOmLkJcRh7KysoY8lKjsXzxOpTw1D3uMmFtzPdqSH/5Re3Yj4xUyMXGGSNh3NEFGYrJrzVSPpaN6wfr3iORWcohNiPG19govHsfyayQIawowiS3zrDqM125PKGMXP+Bzh3Rc5w/EdNixIXchqVZa5wPDlN6++iyhn1b6CLw+A0yWJLg4LJpaGHTHR9S5EsPUpH+8soBtGxpgaDwdCZPlRJmwmUHXHv5k024JKS9eYBObdtg+ckghR1JkR52By2b6mHrtddMnqC8GG9evsLXnGKmTvjtkzBv1R7H7n2Qn4c8+z7eOARdPSNcDksl7SpBeUkpONy6zZR4xdmY1s8Fa07eY2yz4MtzGOjq4WxIrPwcBGFJFgZ3ssGKI5chrq7ztDKQc66bOw4e3nPBUwm9+CmQibB27AB0cB2GNMWzTMwvw6KRHujQazhyq8hziVyfjC9ReB0WyQx+JLxSTHLvjJ7es8lzS25//JIcjHDpDLcpS8ARyUgbvCYD0qZYefQJ8/aBlkl+HQTLtq2x/vxjyMiA6dDiKTCxcMSb5ELF75Hh8akNMGppiecxWUxbyvPlFChivs8Hx6jl/6iwnm/tSKz41pKkOgptbJOdqpxYdGrRHOMC9zKe1LpjpBPIT8NQZztM3XGN6eCZfHKO2LAXOHvqDM6crsep80jIkD+c+JwKfI74gCM716GNWVuceZuscm6Wvw1BJZZNGIweY6cjNbcIhRnxGNevG0bPXIJKPhXUElzasQJNmzTFqpN38E3hGZIIBUiKeIlu5q1g02cy4rKLFBNp5eeNf3kdduYtceBKCPg8Hp6d3wo7GydcehPPdHBRD67CunVLWFqRTszNFa6uFDc4mJtjw+WX5ByK+0WBjF+OKSP7Yci4FW+2I3EAAF37SURBVD/XJjvkemZ+eImunWyxYN8Z8Ph8fHp8CZ2s2+P47bdMPLy4sgAjXRzRxtYRnzOJsCN5MU8uoaNFaxy6HgoBn4cnZzfC1toZV8Pp6gpS8MuyMXmEJ9zG+uNLZgG4nEo8O7oJLW274m2yfM13GnfqaWeOsX5LkVtcgbz0OIwf7onJS7YQ0dHwWVCUFA5zM9ufcpMdqZCDQ4FzYNtnID6nZKO8KBsLJ/RDN88RZLBDrhURwS8v7IKRXjP4rd1H2k1GBq/FCJgyAK6DfJCWV4qSrARM6GOH/rM2gSsm7UraaKoXueen+CMkMh752Rk4sXMlxs4LREEFnTwpJeKwEouHu8FpxHTEZ+Qz7fjwxB44dumBlxGpTDuq/k4a873af5x8k516x34GciJeoVsXe6w5cQVVHC5Cg06hs50VDl1+Lu+jiBif4NkV+s3NkVDKZ2wpKvgCunWyx7FrL8Ah1/f+iTWwtnDCjbeJjGiuIYPf3Qu80cFpICJT8lBVnIVlkzzh6j2fEfn0e/OT3qO/Q3uMmbMMheUcFGclw4sI+KlLiS0JVTYoU8DEfLdph3OPopjfUP/4jwbr+daOxIpvLUyaPd9S8ArTMNBrCNKL669IIkP86wewsLDHnXD6Ok+RT4TXpxcPcfDQQRw6fEiN/YcOIyIhW+UctLwA68YPwZLzKvHDLH8rYm4Fzu1cizlz/OHn54ftRy+hqKquPeNf3Mf06TPx8J28M6exvwlvgrF+VSAWL16MxYuWYN3mHfiQnKniwZEi7dNLLJ7ti3nz5sFv3iK8iabePNrBVeDC/q3yuvVYtGw1soobLlUpE/Fw/vg+HD59r96kqJ+D3IQIrJk7E/7zybX088e915FKL5tUxMXFbeuxcPkm5Cm3yZYgJfw5FtVe/7mLEPYlnbn+tefklObh2M7NmD3LF/5z52Le4nWITs9n2rDW05qfFI3NSxfB13cOfOm9cfGO5m3LCVUF6Vi/ehM+Jtaz4Z8EEbcSd0/sZmxorv8crNx2CDlldRMwcz+/wZyZPrh8L1x5ffnlebi4fSPmzPbDHL/Z2Hr4LMpr48OFXBzbuBrjRo/G2ElTsHzVWtwIftVgO3JhVSlObl+JmaQd580j7bhiPT4mfVVr61qoN/3+9dPYd+wqBPWO/SxkxYZh5aJ5mDvXH77zFuNOyCflut9SiQAX9myBz5wNKFHOd5Ei8c0TLPMn7UrqzFu8jAyG6HKbdc8hibAKd4/uhd9MP/jP8cXarfuRU6KysADpO4tS47B1xRLM9vUnbTULuy4/AFfljaEqFXkpWE3a+11s3eZnPzKs51s7Eiu+tTCpi2+ZvIMmnf7Zlb64+qTha2ZZTQ2CDq2BQ69+SCtWD1egE1fo1rqaoOcViYTgC0RMOfrKbvmEYbjxST2kheXvhW6bXDurXjmxqBbFZ9XJSLT8t2/f1FCfrEQh7Ufy6BsT1dUFKLSt69evRbWcKvJ75OcT3rXQdmGupcL+6h9T/VyXX3v964UfKI+TekSQiUmZxs8h/16JRNpomVq+fZPbsKZjPwPy60k9zBquleJzfTuh5ajt0bcYyhU1VI7Jr72Eufcb2piiHLENKqxpud9qI1r2Z7YjitIuNNgSM4G5/nUm11T1WabpHpe3/a/bSV17Nmzr+tBnYWPt/aPBim/tSKz41sKkFN9iAT48DMKNoOe4fO4wtly5r/TA1SFC1KM7GNTdHjadXfHk3ac/NKP+7fXD8BgwFIfPnMeJg5uw/MAZ8MT1ve4sLCwsLCws3zus+NaOxIpvLUy14lvKLcf6ccPQ3r4ndp4PYtb0bmhMYmQmJiAqOhrRhOT0ryrb+f42FSX5CAt5hRchrxGTkvG7NuVhYWFhYWFh+f5gxbd2JFZ8a0lSnfygOuGyvKQIObmFclFMBbkG6huXpjKN8VfqsrCwsLCwsHw/sBMutSOx4lsLU2NLDbKwsLCwsLCw/FlYz7d2JFZ8a0lSHYU2ttQgC8uPBq+yBCUVdMUVzcdZ/mUkIhQW5IOv3NiJRfuohpBThqLSKg3HWLQHMYryciBSbAL1b8F6vrUjseJbCxPr+Wb5GRBUlWJnwGwcDI76aVYa+N74GvsGE6dMR1zuz7F9/XeJWIizG+Zj/YWnGibks2gFpD/PSfgI76HDkFv17/btrOdbOxIrvrUkqY5CWc/3T4DiQaiaV/8hqXpME6rl5P/XfKxx6pVR1FFFvXxD6pdXrSP/3LAOg0SE58d2wKKtOXbc/4jardm1Cc1/jwoqZX8P9a/F7zlH7XfV/1w///egrEf+T5dfa9D+9RCWF2DluGGwcHRDTHaZxjLaQP2/Qfl3KlA99lso69Al6lQ/1yunTv0ydd/9++qrU7/8r52D5sfeOQdbs5aYf/w+xEy7ah/1/4baz/ReVM3/NZR1FNQ/pvpZE/J69T8TfsMOVFHWUVD/mOpnJSSfX5aHpaMHoaVlF2RXaijzX4T1fGtHYsW3FibW8/3jIxFy8SU6ClV8+SYfYgEPiZERCH74EI+fvkRuqcqmEZog90d5YR5eP32Ce/cf4O27z6jiybdkpuvmJkfFILeonDz4yQO3fl0FYl4FIiOjIVDslingViL6fTgeP3iIZ6HvUFzZcAMeNchvqCjKQ1joKzwkdULefkBJFU/+fTIpYsI/oVSxgVD935AZE45FK9dj3djR2PogAjVa6PnmFGcjJiFFYYtScEoL8T5E/re+/RAFbr0NWH4NqUiAqHfvkJpdynwWi/iICIsEr5FNdCj0e4uzU5D4tXYjHSkqC3IQ+uwZ8xs+xiQp2q5h3frQdakrS4rw+X0Y7gfdRtjnBHAryhBD/tV0DvqK/NqhXdi1bQcGewxGTG55gzLagEQsRHJMJEo5AsVnEdLjY/D08SM8fPIM6Xkl5G/RXLc+YpEQuV/TEPr8Ke7efYDs4grkJCUhLbNIcQ9oricRcBEXHa2wZanclqPqbLmgjPO7fwOlODEW4RHyTbLo+VKjY4ktV2i0Y0FOCnwWLsd+3ylYcOKBVnq+6TOooiALSWkZENPP5FpWEVt69+oluY/vI/Rj9K/aAUUqEaMwMxWvngSTOo8QHhkPrkD+7BTxqhAdkwCOoHF7pN9ZlJmMtNwC5jpSeyjJy8LrF88ZW/oQm8SEg2iqW4tYwEfi5094eO8+adfnSMnIVw7QBFVliIxJ1myP5B69cngP9h47BlcivnOq6h3/L8N6vrUjseJbS5LqKJT1fP+40IefiFOGjUvmYNvxS0ynI64sxSGfibDqPwK3nr7CjpVz0MG5P1ILNcdw0g4549UjDLS3g56eHpo1bQpdXX24TV+OAoUAj392B1NGTUFYIt21reE5BOUFmDNpFE7df8V4ywRFWVgxdAA6j/PF4xcvsGjWOHh6T0dOGV/RWanXp5tfpLy5giF9XbBs9ym8C3mOedNHw2PUVGSW0Y2epHh/9RTGjp1N/o4KxrtUW1dQmoMtK+cjJj0HWyePwZb7n7TO852fFoMxQwbiZVQy87kkNhxjejhjYuB2vHz6AOOGesI3cA84wt+2U/q3x74MgqWlLQ48ipHnE/F9dcNKzFq1ixENDetIEPs2GBPGj8fn1BwmL/ftY7jZ2GHRnrN48eAaBrj1xMZD15h7qH79Wui9IOFzcHb/JvRw6orZi9fjY3QCKrl88CtLsH/RPKw6cB5CFY8prZP05jpWbt2DrM9hGNBnEKJztM/zLeJxcHrXBsxfuw2VjPAS4VbgfFh2c8f14Fc4tn0FnN288DpavtuopnPIqUZJdioW+4xD9x69ceDkdWTk5DMrTOVEh2OG92g8ikhucI/S6yQg13Dz8rnYfPQ8sxupiCO3Zdu+3ggmA9hty2bB2XMUEsngRbVuY0g4xRjmbIP+C4/L24R8Z9zTO5g8bjoiUnIZu6otWy3mYevSmfiQUYyzC6drp+ebXKP0mDBMJYPs5xHxzDUrivuEEd2d0G/pdoSFBMPTtTtmLdvNXD+N5yADwRcXNqNnn344fOUB3j0Jgqd7T2I7iu3iRTycWxeIhWv2oJxLn3/16pPvjHn9AGNGjkbs13wmxC3l+T30cXLG9B0n8PTuFfTq3h2rdl0ggwOZel0FEn4lDvrPgJlxc+g1a0aet7owNe+EI0/Is4ucTyKoxLaZU7H+6FXFQKKubtK7+1i3fT+5xxLQ26Iz6/lmE5NY8a2FifV8/7jUSARYMWsCZmw8DB4RbrRDf3F5D8zMzHHtbQKzK5tUUI6p/Tqg1+gVjLirfw5hVRH8Jg7H+pNXkV9UguSIUAx1d4SOji5W3XxL7h35rnIRwdcxdPxUpBERr1pfzC3DlGF9EXj6HvNZJpPizJa5MLPpircpecxvqMpLxAAna4xZdEjjuvE1Yi5mDneBu/8+xXEZOPkp6OPcGWtPvmLK0N/w+Pw+jJi1GCVcuZdKIhHi+r5NOP7gI/5HJsa2qeOwPTga/+eXxnfb/G9TnBqDXr1ccP9zGrO7nkxUBb9hTujUdyyyy/nk76pB6odHsDRri41nnzN/p6bz1FKRF4+xveyh08IcB4O/KPN/qRZjZ+BsLNx5EgIimlTrJLx+DJf+Q/GOtgf5LK7Mx+BubdBj/CIIybWuqfmG17eOoE1rG1x8/oUpo1q/FqmAg7V+o2FsYouTN1438IxKyb2w1Hc8tp5/wLwxoXmiyhzM812Gr2VClMd/hJfnEMQXcn9zl8D/KmTwcnTjcnjNXI5SxRbxGR/vwVRfB/vufWQ+10h4WDdrIBxcJyOz3s6/dciQl/gB7o5W6NZrMmJTC5j7X7VMVuxbDBw+HFGZ8rcWtciIIFs+axJ8Nhxmti6nthx6/QBatzbD9fAUpk1+EVdiUt8OcB+7EpWKt1yNQgZcJ5ZNJAPqZhiw+JTS7uh5I55cx/Cps5S2TD23b6/sw9azz/B///f/4PxiHyw6/Zi5L9TO+S+THfcBnp79cfNNDPNZyClBwAQ32HlOQBGfPNvIPZcXdQ/G+sbYf/s98+yqfw5uQQr69XTA8jMh8nuQkBF+H0ZmjngZo9gSXsjB1hVzMG/LQXLd1NsviQxaO/fwxIeUfOYzrzgDY9zt0M9nNSpEUqadPt47iOZG7XAzLF2tbi1hQScxfNJ0hMenozgvG2d3rUJz/aZo0WcMSviKctxSzJ7sjR0X7zEinuZVFaZh5cJApFWIwctPQm8rR+QL/vObz4x/EtbzrR2JFd9amFjx/WNCH/IhpMPs7jIB6UXyTlRcVQjfQU6wdB6JgipF2AjpbF8fXQUd3ZYIjld0LiqkhT/Giq1HIFB0VPReKYx5idY6Ohjrd0Ap5GqI0D2xwR/TAvcoX+vSWOubuwPRo/88cBTl+CUZ8HJoA9fRi1Fe++pWzMfZwKkwNuuMyPyGIQfiqnyM6m4B1ylrGeFB84RlORjo6owlu28py9VI+FgxfRhWHbvBePIqUiMw2MURU2bMgq+PD7rZWqPnoJFYc+omvinq/JuIiBhd6N0X05aegFSxLXj6u3swNzGE3+bzyk5VVJ6PaR5d0KXPeJRL1Dt7VaSCCuxaMgurd+xEV8cuauKbIilLh1vXLrgaGqXMqyxMx3iXnthwhApi+bk/3ToMgyZNsePKG2U5QXY8PDqaY5jPStLmGn4DuS9OrZ2JJoYtsPXiU8Yr2qAMoTjpLbp2ciIDL+pZrUb46Q1w6TcIs2f7YsroEWjTxhyjp/vhSST1/jas/9+G/obIpzfgbE8EVXIRkyclg9rtswdDx5jG1MpDUOi1e3f1MFoatcSRh2Fq56hFUpaJft1sYWTjjKi0Ao1lqD3ePLSKCOgF4InleVSgPzq1Az2JLdcKYhGx5blDu6OtozeKBQp7+/YNt3cEQM+gDZ7EZSnOpwkpkp5fw5B5KzFreE818U2htrwjYDqmLN9D2prYWkUhJvS2xPjpszGHtJNb5w7o3GcgAncfRxn/94dD/ZNI+OVYMMoLizZfUm4Ql/aeDFqNDbBwx2XlvV0trMI0Fyt0HTobxYrwIVUK497AqZ0+5h+4o8wrTniLFsbWuPchRZlXmRuP8UP7EluKVuYJKwvg7dwZuy+9UYaIhN08CFMjExy4EaIsx81LwYCOrdF/1nomNKY2n4E8C7ctnoOXX+raT0IGtWtG90NTvQ6IzqmbjFwY/xr9+3vhdWIm+ftq8Or4KvR06wdf0kYzJoxhvnfyjNkITshnPPK19f6bsOJbOxIrvrUkqb4CUg07qY1DDHv5Am8/JchDAAiJn9/h6Wu6lbzmV0ss2oe4qgBDurZB4PF7TMdK8wrjScdiYQSPeZtJByXPo3z9+AjNdHURsPsO02nU5lOqSouRXyQXxLV5wqJ09DTUwcQtV5WvnqlXL+3DUzjYO+JBJOmkSF7p12j0sjHF4QeflfXTXl+FmXEzzNhzBULF76Le8FdXDkGvaXPsvxGu/J5aqFdxydj+MGrRCrsv3IJIJML764fh4NAdT2MyleXob3h/5zQsHF0Rk10MMbcSkWFv8fpVKEJfPMesAR6YsO0kIuLT1P6efwP6WyPvHUfbtu3xJqWUuV7Smm8IOhgIAwNDHHpKBbK8rIwMKjbMGguTth0R8bW0wbkotOzzq0cxa9VeZMQSgdvZAQcex9YrI8PpNTPhOd6PGfjIiOC/cyAQdl3dkJBLRB0tI5Xg8PJJ0NEzwqOUuvCFGnElJvfrBVunAUgv5qqdl1KV9gHmLZrB3msikrOykZqahtyCIiacQq2siI/104ZgxKKNqCZisTInA29DQkkbvcaDs8dh79gTx+8+RXZhmfLv/zeRcEqwaLQbxi/bS55/8nuGX5qFwQ7GaDt4BhloKsqS+ynl0wtYmrbA2Dm7ISJiT/U8VPzdPrASTXSbwG/HWXzNzEB6+leUV9Bwr7p7kd6XnJwYdG7fBsdfknuA5AnLsjG8uxUCj90ltiwvVxj/Fs4WhnCfu0lp31LSvh/vX4Bhs2ZYtueOMua5PmWZcRg3dAQS8iswz7s7+i86WS8UiNhy+D106miPh1FpzByCuA/vGDt68+YNVo4ZjP5LtyEsKh78+u37LxH94ATsHHsgPKWQuYY078HBADQzbo2jL2LJIEperoY8azb6jkZTw074kFKgdg4K9VSP6GmH1pYd8fBjHBloCXEyYCq6DJyAjGIaT684j1SMq7uWwtHbh9gSvQYSPD+5Bmbd+iOnQhHaRX7HgUXe0LNwwMNYOpdCXlfCr4DvUHfotXJFPk+kPCeDRISvGVng195XtDzJu7ZkMnTMXZBCQ/MU+d+kAmzxH4thizaDS8qXZafhLWkj2k5Pbl2AnZk1rj4JRZbK7/5vw4adaEdixbcWJlXPd0VRDk4e3guP7vawcBuPPA55MNTUYI/fIJjbOyGz7DcmxbFoDZlvrsDIsBWCPiQznQDN+xp6B3ZENM/auB8i0sHWli398homOkRMB+5hOuHafM1IURL3Cq31WuLG+9qJWnJ4eSkY2s0K03ecZ151hl/ZDj1jK3zKrvNmR13aC9NmOth26b7SsyurqcbnO+fQXLcZlh+9odHjmRrxCj272MKodTtMnuGDfl7DcPf1Z6WHqZaKxHfo0r41ttwIJYKnLl8q5GKzIuZbKyZcigXYvWgCjB29UUo6TibvlxqcXTYDhkR8P4hMVZaVyUQ45T8VzU3M8CDma905VChM/ACfKb6IzSlFcWI4unXp3MDzTYl7cBxt7LohJDEPMmEl/Ee6o9uoJahSTACTEbGxaeIA6BkaI66szqtZIxNgxQB3tO3QFZ+ySpT5tdzdFwgdcg9ZWHWF97CRGNTPDdZWHTF/7V4UceQTYSlUpIQcXwU9+z7IqFAPjSiKeYd+fQZp1YTL/JhX6GJjhZ1X5eFNlKrML+jZXAd9p81nBHltfmHUWzgS8d1v3DxUiNXfDtSIOJg20Jlco6bo2XMgxo4ahV5OneHo5IkLwW8YUV1blno6fT3t4Oq3GTVkgJTy4iJMW9ng9vukOlt+fRcdDXQwc8M+RnTL68qQ/vQmWjVriikr9zFe69pz1iLmV2K771TsCAoldiZhxHd9zzeFm5+KIcSWp207T35DXX7Nt2qcXjgdc4/fbxBW9K9B7Hm3/xA49p+EAiYOm+aLcXHhOBi3aovHsRnKsszvnz8VzXSa436kfBCuBrk/X948g9YmzWFqYYf5Myeh79hZ+JySq/6sIYOp6McXYWFhjSdx5JiQhwXDuqLP5OUQkz5TXk6EdfTthH03fM6usxmpiIuNIwagqZ4ZYop/u0+l98Pq8V5wnxQAgcpzW0YG64+ObIBlV3diM3SwWlenIusLnNs7sBMu2cQkVnxrSVIdhap6vulkLeohCLl6CMbGrXDqNX3YE7GV8QVDew5HIUeIyvx8JCckIj4+AUnJSUiKj0dCAv1/mnxCCjnP76G8MBthH6IgIQ9OTcdZ/gLkoXdvxzLotbZlJkjV5sc9uop2RCDN2kTEt7TOM1eV/AltdHUwIWD9b2/KQMTZgSUTMHj2+oYTADmFmDKoJ3qNnI5yci8c9J8AQ7tepAOoKxdyaCsR2brYelneedM82nnGB19Fy6a6CDhwDjW151NDgrc3D6FtC135BKROvXD3VQTJV79/JCVp6O1ggbEBm8FT8e5Tj9KXsLdIzKGdYF35fwsRpxjT+/eA3YSlSm9mzS/V2OM7Cfr6RHxH0YGNPL+aiKRrgbOI+G6Je5+JKFfk1yLmFGGlz0RcevSBafuihDCNnm9KQdQztDJpgQN3Q8ApTENfeysMX31U+caDTqxbOMQTzRTiu7aeTCbG1jF90c7WAe8zCpX5ciTYOrEXdJs0w9Kdl1BQWIKSgmzsWjQWxkYtsGLXNWLntfebBAlPzzGTdu+TgYTqefilhXj5IoSZyKaa/2/y7vpRtGljjcvhycrrXpL0CbbEjvpOp+K7rmxZ/Ef0amsCjzHTUC5S93wLi1LhbtEUzds64n5YDMrKypEWHYKh3e3QxrYHXsfmKM9PV1VZ4zMIbTq7okr6Dbe2B8DIpgfC01Vt+Rrakt8wc+M+pR1RW8h7cx/mek0xcflmRnzXlqdQYfnk9F74Bu4Gl9i5jNjE3OHODTzfFElVESYP7AEX76lE8H2rOwexndSIcESnyCfmagM1kkqM6WIFD58VjAdYni/E3kkjYdSqDR4S8V1blr7tubliNvSa6OLOJ9K/KfJVEYsEOL1hGvOcoXT2mojotFxyTOV6EhGc8fkF2puZYvvVJxBVZKF36+YYv+4YM7inZaqlXPj37MaI7wgivpV1RXzsnzIETfT0EVnQ8C2SGuR650aHoqtDF9wKT2QEbe0xGmry7s5ptGplhuvvYtWeCwJOGZ7cfwyeSP0e+G/Der61I7HiWwuTppjvsq9f4NS+NaZtOsF4Iaty4+Czisb3SnB2rR+mzPDHwZ3b4e7kAJ/ZATi6ezP69/NGfD5H7TyNIeKVY9+csZg8fwukWjT57YeBCJ29q2ajWbuOiFHxOqc+vw3rZjqYvfkAxNW13hnS3l/eoSXpyMcGbPhNz3dc6D149OmL2Ex1TwtFJqqEz7iBsPYYjq+lHMyfOgwtOruhkF/nrfl4ejdMmuhg25UHTAfG1COdVdTdC2ih2wRLiPhu6PmWITP2DcZ7D0bgniNYNZ+uBKAHi4498DxC3RP8jV8E9+726D1lEcroJCuVY/Unt/2b8Muy4eXSGT1mrWYEM5P/Sw1OLpwOAwMjPIxW9cqJcW7edBiZtELQZ/nkutpj1Ht5Zc9aLFp1DBVcAUQiMQq+vGHE9/6HUUyIjqrHruzrZ5iZGmPR8SAUZkTDwdYck7edUf4GGs+8ZlR/6BHRHF9ed/1kMpI/sA/MiPgOz6gfryzBhhEOMGjZFp/z6yYbliWHo7t1S3QfORvlgtrfIEVGRDDjJd//tC5ethZtaiNK0Mnt0G/XAXcj6+6zirQYOBE76jdjgZrHuCg6DN1atkCf0dNRJlT/O4T5CXBtRb3lC8lzVH4t6GTaB4eWo7lRcyw7G6x8I0OXutu8dDr0LOyRzZFiNxGL+g6uiMxRseUXQbBpKh9I13m+q/H12W20btYUE5bJxXdtPhVmWV/C4DPBD3FZJfL7Qsgn4tuJiO/j4AtEEIvJYEtRXiqoxPSxXrD1HIZSQb02IW2k6e3Uv8U3bj66dGiPQfPW1f3NUjFO+45F89Zt8ehLXdvRt2wXFkxnwuxuf5KLWVXo4PDj4ytw8+iHM9duYdJQdxg01UXvQZORUaA6mVyGnMRPsGjXCr77LpP2jWO85TN3nMUvinasrhZiRV8ntHNwwuecugm01PO9ZdRANCWD7IiCX+8z6SpBK2eNwYq955gwPfXjMnx6eRumLVti5503DdpEpvTA/3uwnm/tSKz41pKkOgrVtNSgmIjjJcN7wnzAbIi/yXBp1zo8is5EtagCB7buQ24ZF7lk1N/F2gKnHr2HTMjBzV1bUUw6HNXzaEaEt7fPEQHnhPFzNkH6rUZDGZa/BHno7V/tpxTftfkFUa/Qta0+Rq3cSUR2XVsVxYTAmHRGvhsvKD2gmihKiMK0cRPwIpqGRDQ8Tlfq8Bk3CO3dhyKtuAoLp3kz4ruATzs1eZmUp+dgZtQUy07eZoQLzaPrdH+4fQrNmxhgy/nnah4c5ji5v+aP7Ytek5ajhEdEAr8Stw4uQ+vmBnDz2aD2m7/xixnx3W3iApQS8a16Hm1CwEwYlYtv5e+voRPmljAx35fC6FJp8nz6+vronMkwbm2NN8lE+NaWp5Rno1+n9hg9cTLmzZ3HMHPSCLQyMYbn4AlYtCgQKYWVyvJlmZFoTcS37+FbKPwaA0eF+FZ6von42D9/LJoaNEd4Hk9ZT1bNQ0B/V1h27oOEgrrzyZFgy2QXGLZuh6iiujrSqnwMcOkCK7dxyK2s9WZLkB75hPEobnsYWVdWS7lzagcM2tkx4rs2j1+YjgHWBugyzg8C5ZuiauRFvoG9aQsMnbEBfJU3SxRhURo8LJqh/6zFzPrMtXViX1yDSQsTjN50mQnvoPk0xnfzshloat4JXysl2LvSVyG+65ZgzKe23EYPI1fsJG1Xa1/VSAm+DtOmzTB380WlfVFomNPZwAlwcnXFvPnzFfeKP7pYGcHCoS/858zD1QfvmGcHU4eI7xlEfFsQWy5SsV9tpIZXACeF+OarvLm7u2MeDEzNcPVDstKWZDVSHJ03BU2aWSI0saH3npOXgmG97TFjxxXmWtBJlBtnDUCzJvpYdY7u6llbthrZSVR8t8aUXeRaFySgjUJ807hypgz5zr2zB8LEzhGvU1XsljzPVnv3RdPmXZBR1fhbHjGvEjf3b8eCbYdQpWGJUPobIl4FoQUR35tu0jCi+sf/fVjPt3YkVnxrYdK42olUjOvbA9DSshMiYsIxfclW+cQaiRhVzAxxGZ6c2Ih2HV0RQV+FEvHOKSMdg+o5GiEn4QMCA9fi7umtmOC/EdWs5/sf4dGulWjWyhpv0+UrNFD4pdkY29sB7QbPQZlihQTK56D90NFpgqMv4pR56m0pRXFaNBZNnIDH0WlK76SYz0VRscqGHLwSTB3qiu5DxqOIdBbH/CdDz7YHERB1scNVOfHo3r4V3ObuYl4RM/lkQHZj7xLombTF/Vj5Khj0O2vr8PPT0ceqHXwOXCP3qjyPWd1gpBt0+s2CSFGOoTwLLo7WGD5vNaoUq0VoIyJuKWb064XW4xareU9jgi/D1NAIC08GK/MkvFL4k7+1fbe+yFFcS+V1qCrFmZ07sXnTFmxVsGqRH9q2bAXv8fOxYwcZLJfWeaML4kLRqkVzbLv+FLzCr+hnb4N+Kw8xAq62zPMzO9FEVx8HXiQp8yRlXzGwux16jZqlfKOg+ty4snsRdA1McT1CZZWGqlz0d+mMLsOnMwMhJp/USQq5ztxv1z7WrR6hrXy4fhJmra1w7l2dl5SKp4BRHtDpOJAZDMrzZYgIvshc24BTD5ReyNprRN8KTejvCJO+E1Gp2LCF1ol5Qdrb1BRzT9xXer5p2Mlav5Fo1cEZpeIa3N2+AnpW3fE6TT6ZkEJteTwZvLUa5MeEkDD5sho8Pr0ZenpGOPYiVlFWLoKqxSJ8uHlR7T7ZumkTendqiw7dvLFx4xY8CZUv0UehE02nDHFB98FjwZFq9zNaVs3F+M42cJmxHJzaZwrhy/MbxJaMsfzMM/LMUpSV8Jk4d9OeQ5FRIvc6q97HGW8eo4OxCY6/qWtvfkEi+tiYYOD6CypvBmX4Gv0a7duYYt25uxCTe921lTG81xxRi5F/fHIrDFq0x8nndW956MB7ZG8bmA+dzQwWaF79PlhC7rF7Bzdi4aodqFJZArYwr4AJU5N/liH84QW0IrZ+/pV8Uru2wXq+tSOx4lsLU2NLDWaEXIZJC1N4DpiI5/HyNUtrqZHysHriQPQZ5YtyoSKfOUfD88iRdwB0yar9y5cjJCUfoRdY8f1P8jX0OgwNW+GuyiQtOpnuEl1j26IrwlMUopx09LtnDoJe576KCbV0w5UQPHr6WrkjZlluPBZN6ItDN5+huLgYRUVFKCnMw8k967AvOEJ+HoKg+CtGu9hhxPw9EJMOKOzybugbW+JTVl2IikzMw8ZZQ2DrPBQpite4ospCLBjSA5YDp8kHBWTw9z74IZ6GylfYEZXnYmg3Wwxcuku5jJhMLMBW3xEwGLVAbbku7tdIOFm3xpJ9d37XYPBfg/z+HfMno2WnoXUTLgniknQMcrLEgCkrUKEQrKWpkXC1ao1hAbuZV/4iXgWCb99EZLx8pRflORlkKFFMuDykYcJl2qvLaGlmh6DwVMiEVfAd3gc9hi9AZa2AI3C+RsChjREmrziuuIYypL+9D9vWLbH4yC1m8MUpzsOD20FIVISglMWHoo2+HhbvvKhsj8r0CPTq2A5TVhyCWDFgY17rX90OXZMuiKErrCjKaiv5USHobGWNXZdfqORL8f7aLug1bUEGo3lMnkwmwfkNc2Fq44TQJOpRlSAj6iPu3guWr7lN/v4rWxbDoLk5Ximep7KaGjw5thJm7exwO7xuoEN3JF00vBvsB82HhJRJfkYFujWCwhLVbPnqjgVoZd4FH7+WM3k1NRJsmDoQxk4DGWFJ5znEvnmF4OevNe6QSlfsmE+EqNeSU2qDLwqvJIsIRDsMn7ubiZNWPaaNbPf1RlfPicy8pNq8qoJU8jzqAK9pa5nVnWgeLy8e3UybYdLGk8xbC35FCZ7evYuIL2nMtS2IfoNubVti7dWXyvNUc4owvqcFxu67WbeEJmnP+JDbRHyb4/LrRGYX4TnkGeYxYanKhEu6tGYYetu1hd/G08qwkcxPT2BrrI9lpx+SzzJwi3Jx9+YtJBNbor+BbvTz6NRGTJy9AAkZ2czzlpL+5T2Gz1mqfAbSN2XPzu9AG6uueJek3kdrC6z41o7Eim8tTI2Jb05eAhxNjOG75RQz4171GD8rCQO72GDO/iClR4EKprePb2DD2vVYv64+W/DxSwbuHtmPXefvQSoS4cWZDRjru17xarTu3Cx/D3RN7+GOFlhyQr7UYG1+WWY8Brs4Y+Tctcgvr8THe5dg3q4tzgZ/lLcDJx8DiNA1aWeLD8k54JXmYOGEPtDX14eDY1c4OjoydOvSCWZdPJGpsjV9bsxbdOlgi9PPPzKePzp3oLd1G+x/VCfQaWeTExkKp472mL/9BEoqKnDn6HbY2jvi4fsEpoy0NA3WJvpo06E7cisF5B6T4vaWlbBpb4+jV56Dw+Hg0+MLcHHogcP3wtXOHffsKtradMKrhEyVfO3k872zaNeWiLE01Q1VZHh/6xgsLe1x8t4rVJUWYddSX3TxGIYvzCojUmR8eAA9HR0MnBGg9Jyp1leudvK4ofi+vSsAjl5jkFNBN/CR4e7+NejQzRWxavGsUjw+sh4t2tjj8ecEVBXSe2Aos0RhNuMtpJOyD6Kpji5mbjjA1JFWi3FstT9aWTvj7MvP4FWWYO/SCbD3mkTEYd3bFwkZdBxYMB69Js2HqFr7B95ibikCRvXFiED5UoO1+RJ+GaZ69YbLKD/klJQjLuQRenbtjA0nbjGijobu+Xl7wMjUDE++yO9F+gbHq1cXIqp9EJ9dhPyUcAzv0xNT1x1FhYo4FpIBmKuVGdZcDmbsiA4+RzrbEVu+o+L1rEZFdhIG9+xKbHkdyjhcfLhzAZY2Njj76D0THiGuyCW2bId2HdVX26iFiu953s4aVzvJjQlBV1sbnH4RofTiazNRD87CtktPvE2teztAHQmf7p9De7o75INX4FWVYqPfeFj1Hog0Zj8BGSKf3URLI30MnboAfGkNE9K2w2c8bDr3x4uPiRBwKnDzQCC6du6HsGT5QItC51o8OLYRFq6DiC0JmLe/L05tRquu/ZCt8qaPvtULOrwBVp16I+hdFMryMuA/ZiCch09BKYcOymoQfIYM5JroYu7Gg8wKUG/vHIdt2+ZEVFujq+J525U8ey3atcG604/IOeXn/kZs7sCy6eg50V+5+ZO2wYpv7Uis+NbC1Jj4rspOgNdwGqtZ36hliH0VhHZWXfDwk8qkMKkECZ/e4eatW7hVj+uEhJQUzBo3FNbWtrCztYO5mSkMjE3g2GM4Sn5l4xCWPwkRVmFn96Ojxyhm8qPqsYqCTBzdvx1LlgUgcPlqPAxVFWki3D12ABu3HUNBOR8FKTHYv20btmng+v23SjFQQ9r/+q7l8Jw0FyW82tAI0vFsDYSNty8TY173HdUoSI/Hrm0bELA0AKtXb8HbqLp7SSrh4/SW9di+/4pywx7qoX//8hFWBS5HQMD/3953RkWVtFvrGFFUxJyzIIIRE0YwgphzzmEMgI6KoqKiKCKIAbOAEgQVUJAcRXKWnHM3oQXf7651f9z75+6v6jSdoHFm3kHtmbf2Wnspdaqrq0+Fs+s5Tz21H0eNTuJ9iMQSSElPcTTbvgzLj1CXFsmrWkUlPWRnl+50LDWxwlfpBS65l/GhPmQhewwHDxzA6bPXkJwteXtQVZiJs4cPwv5lECeyxJ8TXS/IhI3NLQQ23RhZUYAF44bC9JHEpaUyOxmLJ4/HkdsukDlVktQh1NsZR349ROpwEOZX75LFmsR9JS/hI04ePgY3H+Ex3hxJG717+QgHDx7E/v37SPtZIqNAcigIZdnnaEwYPhgPfD/+LUQdHUeRbk8wXH0igtJkT52sJmLurtUlHDx0EIcPHcUzV3+xWwK1Xn54eg/HTM4js0gSTq6Sto2FGfaSPnyAtO2TV17NFlBeducwWGsu8niN6aQO7lbnMWLmYqQWyp6eWZr7GTcunSXjiNbhGN76Cc9noNfo5tkXVldgan6LCD2JRVhM0nfcn96BvTcN2SlJ/0ra3tZ4G6at2IGS6ub9SyFJFjt7FszAJvP7Uq4htB3IWAp5D6Ojv3JzjcnJa0jPLxNfL8tIhpmJER44Cv3daVpNZRmcHtrhMGmfA/v348QpcyRkFIg/Q8kvSMe6eZNh+vi1OK22NBd6Y4bilKPw5F9ROnUjCnz7EkeOHObGxnnzu8gtlfSJ/JgIHD98BO6+sWQM8eBidwumcuZbM7NryJIK91uW9hE6EzXw8IPEXUjRyMS3YoCJbwWB9OYHmVCDZJKnD8TqiiJc3r8RbwITG1+DSTZQUCv4w4uHMGbSfM5NQfra77GmqgqVZRWEZXC3OYlFG4+jgscn3y/7HYytQeqawcPJtfOw68RtTsSKrkk27JEJUvx/af659qCTbNwHZ+jPXorAmGzSZyTXakhf2jpLDb/ZeMr0Jc5Nifv/N75LqhxpchN7s7R6BDlaYeHcdUjOoQeXyF5XVBYkhWCuphrcw+ghHM3vhfh3tnAv/ijp24N7xtuxYpspSqkbhPgaaTsfJ8yfOQdBCVRgyH6Ofu+frQMtg/stTdqpll+O81tXYIexLWrq/1wf+3kk9aypgt2JLdBfZ4winmTjG7VAivP9iXsjL13EvMQQMo7m4NWHZKl0amkvhcn6BdhtYosKOWO5xXLl9KlvkbZbvO9LLNU1RGB0jtw8ikg6/rOjfaE3SRuOH2RD8gkp/JvrmzLpQsqkNd5Lmibsx/RvqfJqeLA9sQfrtpxAGXUNa0yneZM+OGKK+gyEJEnCQsqjvDr8KfLL8Nv6ZThy6rbMJlNFI9twqRhg4lsBIbJ80wfM6zs3YHHjISwtzuHaqw/cZCLLGgQ4PMDMUUMwbOwEvPTykw1n9UcpqIOPvRlW7DGD4F8/PxzSP5lVeek4qK+Ps/dcuE2z8vL8VSYFv8bytdvhHZokFFxNWPY5Fiunz8Jtz9BmvqWtxYjXj6G7Yjc+pRMB+Z2+43uQjr3UDx7QnrUIXpyvsPx8f4XU8vbypik2HTJDQUV1szaivsH+T+2go78ZYU0sfK3F6opi3Dx7DEfMiHiU2kD2d2F1ST7Md23B9tM3OfErL89fZW5iONZv2AhH749yx1FlTgoOrTDEabsX320sxwe9wYr1O/AhUv5hTopNAT65P8Ni3eXwlAov2JqkblMPrp/DlsPmyCmhVmih6JZQAL+7lpizeD2is2TflLQW6YFhF0z24ci5eyjl3E2a1kFxyCzfigEmvhUE0qtQkeW7rqoM5zcaYuzEObB94cm9upNewQpZh4LsLKSlpiItLQ05+QWcmGqe7/dZVV6M3ALhRiF51xlbh3RirizOg6OzCwor+XLz/BVSn/8wdzfEZzQ/qllEWofy/Aw8fuHGiQZ5ef4KqVXXx+E5Motkj+r++7AOWfGRcH4fwLmRyM/z75P6sb5+4YpSntD1QF4e6jISG+aPd+Excq//VZbnZsDL04c7iIv2B3l5FJm0ztUVpXjl/ALZpX/ujd8fIS0/0e8dQuPTW+wDorH8wsUVxd9lLAsQ8cadjGV6iNLfdF6uq0VKdBi8giO4BYzcPH+B/LJCvPPy4e5/i88uUofowHcIik35LnWgbmWe7wKEm2jlXFckMsu3YoCJbwWE2OebsLKsBPkFxdzkL1q5Mv5DKNoY29r8E5ba73aACq3D9yqbkVGGitDPWF//Y1SE59h/9rOUWb4VA0x8KwikV6HyDtlhZPynUvRQkHeNUTHItZGcdEYFIhtHfwv+7DZilm/FABPfCoiWop0wMv4zSDf6VSIzIwMZhGkJMcgulo0YwfjzWV6cz7VPRsZnJCTGo/Jv6Bf+zyZ5RtTyxOMoPTkOn/MlEXgYFYTkWV4mHksZiI2LRU2zcKQ/jszyrRhg4lsBwcQ34z+Z9Mhlf8fb0NLUgKamJqbO0EdSvmzoRcafS0F1OYzXLcJ40j60jbYaXUGVAp9O+p/KRM8nGD9eOI40Js+Df6wwQg+j4pCGLz2+ZSXXRpQ7jK1kDiH70WTiWzHAxLcCgonv/xwqQjt/jzp8K0JITUk2jLdthbt/GOLi4pCclv3dIq60BuVFufi3+W/c6+/SPlJxl+Ux5d0zbN5/DlExsYiPi0eu1MFNisjWvke0vD9bZuvVQVjO75Yn4OP4ps1w8g0m4ygeScmfUfOdIq4oMv9MNKLW7icitlgH8n0JH1yx69BpxMXHIyE2Dnk/+S0fE9+KASa+FRBMfP/zSU/b8/RwR0EF3aFP462X472zI65fvQrLmzaI/Z2QWLR/5KbG4+6N67h8xQJ37r9EcTmPE4o02kmA+2vEpeZ/ox8JUFuRDzc3j8ZDcwSoKi3Aqyc0rKUFrO8+Qlph+TeFJy07Pz0Bj+/YwsLiKmztnyKjsEz4IKqvg8dTJ2QVVjapgwARrvcwdOBAzFqwEKY37qBEAU+Co3Uu/RyFN77CkwlpXOHirFTyW2+T32qBB45uKOVJnZr3OxTwq/D6qQPC44SH7ND42i8fuqGCHt3fJK+INOJKRow//COFh+ZwbZ4cC7ubN2Fx5Soc33yQHHj0O6RlFWWlwfHxA1hes8T7oGiU5mfB3dm3WRkN9bUwWTkfg8doYPnaTXDwDZU5JEWRSMOx+r91RQYXYk4YwjH4jRtuXLuGq9dvIjThM/nt8j8rSwHqqnmIjwiCnbUVbOwe4HNBCWID/BD6MZ279y19jo7ld288hGOZ5KsmY/ld41i+ZmWDBHpy458QiOm+nnByp4fs0GgndQjy8EQCHcvku8T5yLWCT74YPqAfpunMwZHzlsgsFsbSly5LEUjrnZ8SBf/QSO60SFpHOpYe2tzCtStXcNfRnYu48825pq4WqR+DcOv6dVwlc81j5zcoJ/MG/Qy/vAgeHj4oqZRzaJGI5DvTo/wQEieKdlKHzPgo3LO+yZX3/LVvs4OVmrKmqgI+pF0tSJ2v3bCGfwg9c0P4maqibLi99kdVE9csARnn57YYYNBodSxfvwXPvINlrv8MMvGtGGDiWwHBxPc/m7ziHOzdsBLXHjmDT0QNn/x9YvFcDJu3Cu/DomBjdhT9B6sjMqVlAR7t8hDj+/VFDxUVdFPqhDZtfsFwvY3IKONx19OCvLFabxlehcZzYrzp5ytyUmCgOwfPfIQn6VVmxGPTJE1MWH8IwREROLl/A8Zr6xHh0ILFs74eEW43oD1RC2Z3XiDuUwSO71kH9RnzEZcrPEExzuM59OYtQ0SadJxq8uDNz4Sv92vs3bwaSkpK0Dt+lYg7qbIVgCmRPpg/dwFCE2mc73pkBnpg5rDh2HT+Fj6GBWCj/jws23gMxZV/RIALEPTyHlT7DITFqygujcbx9rA0g8G2o6QMeScd1sLP7TH0V61FXFYBJxiS3B5ipGp/nLjvgsgATyyYPhF7T1oRAf/tOtSUFeLc0V0YNnQ4jvxmicT0LPCra1BTWYo7Jr9ix0kLIsAl8009ETrJ8dF4am+L2VPGo32vgbD1CpcpUxHILy/G+WN78avZdWH9BdWw3mSIXlpz4RnyEc9uXsAY9Ylw9o3+prCjkUoy40KxUnc6NCfNwEMnL+QXl6KOjM3CxChs11sEe68wuZGBKgszsX/LWlyxd+KOsK8uycPJRXMxhIzl0Og4WJ89jOFq2ghLlBzn/y3WFmVgyog+0NlnjepGwZ4W4IU1Cw3w9mOy5ARS8nyoKs1HSIAPju/fzs0BEzceaVzMS8r72aT1jfJ1w7Kl+giMSeXmoswQL0wfMgT6Z28hPioUi3U0sWTD0ZYXs2RB5XR1PzSmzcGTNwGIDfXFgpkTsXT7IRTziACvq4aj+Sms32WEnMb5T5q0Dj6Od7FYfzVScoq4Onx8cQ/jho/CIRsHhH14jVmT1LHt6BXUtBC1pqayECeXL0SP7j0Iu3NHz3fs1hdnnnoL+wVZBFrt34bdp6+jTOp30MVgSmIMHt+3wcxJ49ChWx88kz6F+ieQiW/FABPfCggmvv+5rK+uwOalC7D3ij33sKZHwLvanIJK7/5waZyUBdVl2LFgLEbN3ikzkYvIL8nGuhULYen4BryaOhSkRmO17hQiwNvgwD0vTkxTa19coDt0lxog+rPsJqyaklzMm6KFC46+5G8BeTjVwvL4WvQeromw1DwuT0V+EhZNGIo5G8/JFcb1pI5r5mpCe+91sVW0Ki8FM7TG4qjlG+5vWgd/lzuYb7gJOaWyooD2bypA3905D9UeE5Bc1Pyh+XMoQHakP9TUJ8A3MZeIHPJbeYUwnDUCYxesRm4Z/R31SI3wxJBevXDIwhkNvxMysjAtDPO1RqBd93646v5JnN5QL8At031Yc8xcRvzSOoS7PcLEmQsRnUHajtShpigVk4d3wzQiUmrI31/qGxDkchu9SJlWL0MkoqwJa8uLsFN/GnqoqsHxbVQz9x4BvwK/7V+DgxaPmoS+pG4X9HjubOxdMBUL15iCL33c/k+mgFeBs/u2YOEeU1Q2Hrce+/4hlDq0gS35nbTuDXV8nNu1GIPVF7e8iCRtmRL8GmMH9YT2vN1IzaVvbiRtQf+fnxKJBQvmwScuR+pz5BpZ1GzWX4jdlx9wY7n+Sx3c7c6Qe90bbhHpXJ4GQSU2zxsL9bm7UCzvOHkp1pPxcHarHrp27UzEt42wnek1UofYwFfQM1gt7A9SnxHVNc7jPvp0G4sPMVky1382k4I9MWGKDjzC6dxGFieludi6cBzGzFuPkkYrcUHsW6h07IzT97w5a3/TMsqzYjB93DActffj7gUtJyPcA0oqo/EmVHifv9TyYXnmANYdPg1+nWw/DX/1GMMmzEFsVjF3vypy4jBXsz/0dp5CJRl3NC3qtS26dVaB3VvhWyZZCuD10AIGW/ciMaeYs4C72F2CSpeO6KClh5zKRmt3TQUObzXAcUt7Sds1kn5HdXk+DiycgqWbL6PuJ4ZhZeJbMcDEt4JAOuyPvFCDooEj/Td94ErnYVRs0vZysTLBRJ0NyCwWnsRWTYT0mulqGKC1Avn0pEOSj6b73zmFtm2V4BSR2qycZD83nL5sx73CFT6MvqAozh99ifhetv0KZ02n+aiovnvxMBbvNEIZX3gEN31I2ZpswfRlR8AjopqmVeXGY+pgVUxZfhzljfnqiXC5f3ILuvQcDP/0Qi5NmnXlOViqOQATlhxAaZXwM7zCz9CZqI4Dlx3F+b5+qcFvOw2ww8yWWyiI0jmSelfkp2KCujYSG91TfjarS3OwXkcLu8485MQot4jxfoZeXZSw69yTxlfWAtSW5WHDnHEYPkUPxdUtj0Pq2mO8ZRWu3LgK9TGjOcu3+Dop60tlDmZpjoaVKxUWwu8r/vwJ8zXHwdzeu7EOAnx4cAkdfmmPS09DuDanaTXZCZg+uj901u5DZa2cOpD2P7tjCdp2UcENlwCS1jwP7TslnyOhQermGp7E9T3Z6/V4/8wKS9b8Bh4RDNLXfhbpOPrgZAt1NR18+lzC/YYvtVUwXqWDNt0nIKtceNgNfTsT4GCNHl2VcdHhXbPfRlmdEwuNYX3QTU0bcUScSc+xItLPudw2hfr81SglgpGmUevp0yvHMXnWeslYJguV9TPV0UfDkBOW3OcbGuB05Sjad+oOJyJApcuVIRHuIQ43sfL4OSJONTFr7y2ZQ9XoWL5qvA2LdhgRwdg8DO3/qy3HrIk68Imhbjay134Wa8rzsHbOFBhddRL/ljgfJ/TurIQD5g7cPaRp9TWV2DBjBIbPWUkWtzyZMijzY30xvk8HbDvzQDz+8j56o0u3IXAJSWrMR+eSFKxePFNqLJG5rTAN00YOxS3XsMZ8AnjfN0fXTqq47ugvbu+qvFTMHdMHE9ce5ISzKC9HUr/zB/bAP0noMkbrUFddBVPDefilw1BEZgoXbDS9KDUMs2Zq41VYgmwZjfzocQeLN57mxLe86z+CLNSgYoCJbwWEtOW7mqyyP4UH48Xjh3jhGSzeJR3i6YwHDu7f7UhjxtZndUkmZg7vARO7V2LLSO6n91Dv1wlz9phyYliU93OoOzoSMb333LNm1kpeWSmKS2Sjg/DzUqDZuQ1WX3jOvS4XpaeFemPM8FF4HhjN/Z2fFIJx/ZVh/eajOE+S930iLtthm8Vjcb3oyXrvn9xAh3ZKuPTwgziviA0CPo6t0UVnJWUYXbFBeVUVXlufgfo4bfgmZEvlrUeYy130G6mB4DRqSa5DWVERynl87nVtQVwQJk5fjfw/5L7x/en31AK9ew9AQLrQdUbQ8BWOlw+gY6dOsPKS3DO62c10y3Ioqw5FUGqhJF2K1BL6wuYi9pjewudPfpz4lrZ8i3j/tx2YvGQ9CqtqOEHy8NwejNCYhvg80casOlzdb4C2HbvgbUqZ+HMNdeVYP2sihqjNRLKcaDFF0e+gqtQeanNXIzLmE4KCghETn4zKJm4q9Hhu002LMHfbMdSR3yuoqUZhYRHX7+obiMi8cARbTeyJYJAt/2exhix8tupqYbXRVdQ2jhl+QRrmjOiMQbobZXx3U0K9MLCHMpZuNkN1U2sj+dv+3D6yyG2HXeftEBkZhtCwMKRn5TUbc1W5RKT36wULV6Fg4xekYPbYvmQsu4qttXQsj+vbEbN2n5GyfJL+72oPpfbtcfD8sxaiXBAxGReMJbr6SC2swM6F42Ut341MC/HA6KHD8Tw4lvtMZUkxSit53DiqK0rHzOkG+JSuOKEGA55bYKjaRISkitzOBHC+vBvtlVVh+y6GW0TRdPoG6OxWfbTrOAyBCbJvFyh5xRkw0B6Dbqr9cO+1H+r4Fbi4UQ9Tl21BVqOvPyUdb8+uHMPIOctRyKvl/MSdLQ6in+Yc5FSInpMCXN41H50HjMZrqbcEdfwy7NTVRoduWsiulN2DQsvJy83n3m5I0mrwaP8qtBk0FSnFkjca1NhgtnsFZm89inK6AKvmo7igsLEtBXC/ehzbzZyavGX6sWSWb8UAE98KCGnxXVlSAA9nByyZpQnVMfOQVswjA7cBVgcM0GvYGKQXSSYfRsVmosctdFRShXOYxOcv2csBgzu0weZTV4SW7Mb0wk8f0I2Ib8PD1O1DMunLJekrWaEuUOk6AO4fZTeY8XJTsGj8EBgaW3Hi6Z2tEdp3H4rwbImIC7G7gG6/tMHZB84QNNaBisBwpzvoQoTJQctH4gelNHMSwrFg2nh07NodM3RmY8r8FfgQlSjz/ZTlicFQ76+C43c8IOCX4MDKBZi9aDWePXeAyb69eOIRqRjCroaHM9sWo5OmPkobH7QNXxtgu28dOnXqDNcIahkW5qWWyNvb16JLd1W8jEiRlCHF5EAPrNuwFykFFWSREdCi+I53t4PqwFGk7dLxhVeEDfM0oW54BJWNdaBvIUyWzUIHpa6ILZYI54Z6Po7Onorew8YiOF3ar17IR2d3ca5I/QeNw8aNW7FhxSKMHDoUBlsPELEuXFxQ0s1nfna/od1ATcQX8lAUH4CJmprYfewint6zxo5txohO//YG4B/JjOBXGD5gAMyfSxaFZSkfodGxDWau2yXjJpUX4YexRHxPX76VtKms+G4gfXHFtFHcfgmtqQuxc9t26M6ahJGj1GB257mMYYNaOnfMHgWNVUfIgqQB0S5W6NpzKF5Qy2tjnmQvRwxp3wabfrssHkecW8vr51Bp3w6rjlwAX44LF680DwdXGeL2u0iyqK1tUXzz8lKhR8bycqMbJF8NLh/eAK1punjq5IIzh/bA+tE7IhAVxBhDBPXpNdOgNm89CkQbqkmdb28zQFeV3ngVlSrO20AWeLd3rUW7tp3wMixRUoaIZH4L936JYQN6QUmlDxbNmYH5W48jMatQfO85kkXIpzdP0LfvADiFpRJBXY7NM4ZCe70R6sg4FpZFxoyOBvqOVEdYhmTRTK3bpxbpkAVAD0Tm//4ztZZXhr2LtaG75YSMn3g9Wby+unWGlK+F0LRCZEZ6Q1tDDXuNzeH4wBab1h5G2k9+ZjPxrRhg4lsB0dTnu6GhHkEvbKFMRM71t5+4Cac8OwkLJy9FQWU1ClKSEegXgMDAQAQFByIkgPxL/h8YFI5S3u9HkqiuLMP7tx5wcXWB80sneHwQWkkZW5fPTQ+gveoQBJNJWZQW7fYIfYhA2nzagojvxgcEYXlCCHq1JeL7wMnfFd8CIhpPbdaD/oGLzXfsVxRg9fwJ0NJbhSJ+DS5tMYDSsInILJc8pL2vnUEXUoezD10kooGI4ZhXj9Cj3S84YHFHrvimlhzfZ9fQr2cntPvlF3QbpIb7L72bWfcExamYNHoAluw9gSoiDuLCP+DJ48d48dINMfFpzayMP4u15flYOX08Rq48JK7T13/V4+LWlejYSQmukdIbperw9NdN6NJNhTzok5rdH35xBvasWg7Hd3SDJbXwtyy+8z56oqdyF1xy8ERFTiKmjhiARSZksSS6L7VV2DN/OhHfyogpkbRbfX0tTJfOQO8hoxDY6KsvYR3OGIxHm3YdceLmS5RXVKGqrAg3jddDubMS9py+g1qRJZjMNXGe94kIbQen8FTUVpXCy+0lHj16greePsgrKpMVOT+Zvg+uQVV1MB4FShZDhfEhGEL68Mz1u2VEa3FMECb07oZpy9aipEZWfFfnJUK7b1t0H6CJ91Ep4PH4yEsOg8HUUejRl/oTp4nz1tXWwHjTAqiO0EJJ3Vc8Pr0PnYdokfsuGcuf3B6jN6nDJrKQlojvL8j2dUbfDu2wgvNHlnw/RyJInSxOY/cpK26D5bfEdx0dy3O1MGHBCvAEDciMC8MzMo6eOTkj/GPCTz24pSkb6kqxcOQATN90VLKfQVAN85WL0aVnb7h9ktzbevJ8e35kMzr+0hZOIfHidBnW8GF3ch06k75LF5TDJuvBjy70ZfLVIy3cG/1Uu+OMvSuqS9Kg0b0rDE9a41+Ni3vqg79dSx19Ro1DWKZkQUnn0Cur5xPx3RFhub8fCjAl0B1jRmvg1UfJIkLIBvi/tIOKSk889IlEdUUR3rk7k7H0FK/fvCdj6eeH7GTiWzHAxLcCQt6Gy7LMOEwYpIoVxpbc30UpYdh86iYRZnWwOrwe67fsxc3LF6A1chDWbzuM29fOY9aMBYjJ+f3DS6LfOWPa1OmYP28edPWW4p2M2wBjq5AIHfNjm9G+z3B8zGj0UyVM8XTEUGr5biK+iz59QHfykNE/eOrb4ltQhyBXe8yaq4ekvOZt3VBTjo3L52KAti5SC8uxc40ulEdPQR5PIg5C7czRnVq+pcS30PJ9F13b/oJ9V+/JFd/xAe6YrzMbprYPcdFkP4b0UoLqgJF46RMnk+9f/AJoa46E5qo9KOIpiGVODvnFmdCZNBqam46LH+r1//qKW/vWo1NT8V1fA7sda9G5W08iWCUikJIKKOuT+3DAxAZFxaUoL6tAepgnxo4aAXOnIPJ3OTduRflL0sOh2qMrdt9wQG5qJEYN6YtVZ29L6lBX3Wj5biq++ThGLd9DRiNAjvg+uWgUOqv0wcc8iaWtLCUcE4b2hNrC9Sjmi/qVAGlhHpyoMXePEOdVVDrcOoeOfYbhRbhEwJWlREGDjKOm4js/wg9qPZShrb8BJdVNxHdOLCartsGsDfskLgX1DXhtbYQuSkrYZ+0q3kwrIG165tB6dOg3Ap/JwvUCFYujJiM8UzKWk72cMJRavpuI79TXDujZvh0MD8u6ltH7nhT8BquXb0VsWj7XLypKS7B1wVjM3GmJYvI3j1ctEZjVZVivPxtDtBeQhbR0OYrHhqocjBnWD3N3mkgWHOQe2m03kCO+v8Bu11q0b9sODnLEN3Xx8H56E+OnzIHTay/sWqMH5U5tMXaKHmJlNqDWIys+FP379MQmc3vSvtFQ6dYFG83sxOKbLnaO6YyTI74rcXrxbCK+lRAmZx6VZmVhNvauWYyztx3luBHVI9TbCd179MA5Bx9uHpW9/vPJxLdigIlvBYQ88V3HK8ex5droM3kNeOQBccP4IPyS8lDPL8L1S3dQSkRNetArjBrQH/Ze4fhay4P7NXMU10oEnTzSGLVmO9fD6tkbZObko6qqcbOSnLyMf4X1sDi+lRPfkVIP7PwoH6j3VcL8Q2dldunnRXhCiYihHaYSP+ympO4Cn4O8oa+/Bh8/N3c7oKRRSTYYzEG/qQuQXFBOHhoL0XXMFORKie8Urwfo1aU9EX9Pxd9Ffb4Dn99C53adcd7+vTiviAJeCdbN0cSUzadQQaNNCKrh+/QSBnbviNGGh1AjlfcrLx9Tx4+A+kpFF99ZmDN5DMZvOiYWPNTn28n8V3Tq3Bm2vtJvhKpxddsqdO05BP7JsmHkaovSMHNEb0zTmQHdBbocdaZpQakzuTfjtLFk6WpEZ0ncPorTwjjxvc3yOfLTojCWiO+VZ20loutLLSz3rcQvnbrgXYbEKlf/pRJ7Z03CwDEzEJ/X1KImwLl109C5Zx+ES4nvLxW50Jk8FoOmGiC7XPRWTIDUUHdOfJ9zU7yQgk35wuY8OvUZylnpRWn8gnTMHaaMYUs3y/jmZoX5YER3ZSzcZAq+lCCmrKGb8QZ1xowNe6XcNeoR5fUEPZSVoX/qAb42Rnihfr+nD65DOyK+0yrqcPnoVk58h2VKxF9+FN0Y2BnzDp6VeptTj7hXj9CtfXtuw66MWKvlw2b/YoxSH4UFjf1Eb/58DOjZASp9x2DePF3cfPBW0hf5ZCwvm43+ZCzn86TKUUA28HKhMaw/5uw0llpwCOB6aT86dFfFHT/JAr2hQQDLHSvRrsMQ+MU3N/yUpn/CjLEDsPumqzCNCGUbI0MyN7XD9usvyZwlam8aMjKEE99rL9xHdV4cehHxvd7stkR8kzpY7FiILoPGwEvKyETjcR9ZOAPtlMfjc0XLb4v5ZQWwNvoVJ22eyLg3SViPEC9HKBPxfer5+xbeGP5cMvGtGGDiWwEhT3xTS5aj+RF07z8MHwK9sPHoJe4hQwVYdTX1A62Hq+UxsqKfhoh0GlKpDvzKSqkHuHzmR4diySQN9OrVE+pT5+CxR8Dvfobx36O7+XG06z4IPmTRJEqrLsnCyilj0VtnM7dJSJQe/MSMcwO47ZcgTpOlADkxfthsYIiAlBzxJF9TWYbPGcK40PRvQWUBVutOgqbuShRU1+HWjtXoMGg8UsokD5jKnHhMGtiTCOmzXCQFmkbDnj0224GO3fvAI164y1+aVTnJmDqgDzZbPCZ9rfG7yAPs4PKZaDNzk4zIEBSnYeKYAVi825iLyiFKVzTWVBVjExGzykv3iGMsU8a8fQpVJSXsuu4iTqsj93WLnhb6a86WhBprZG1lKRzv2MH6xk0xL548jH49VbFiixFsbe4jv1QSWjE3yhsq3briwnNPVOanY/aoIZh2+KrMouv9vUto17YDLntIFgC1hcmYNW4wJhlsQ2ljuD1pPrM4hLYdu+F+oESkCsqzMWviaKgt2iCxfJO5Js7rIelv7fFMaj+CojL4mQ1UVQbC1oduPGxMr63CMYNZaDNoJvLFG+bqEexqhx5du+DYfY9mQqihtgJr5mqg02QDlPAln4nyfIgePbpjr43E8k3jNRtt1oPqcE0U1X2Fi9lRdBiggXdSY5lPxvJqbTWokP5fIXK1qCd5b5qgQ8cuuP1B9o0QFfRRr51x0+omrG5YNfaV65g2pi9GTVqJ69dvIkDKEkzdTlYtmAjN+Yao/PJVpixFY/2XKqweMwQT1hwki3PJ+Ih55wjVzl1x0PqV2CpcT9puy7wx6Dl1ET5zkWNky0r2ccOQLt1g4yu5fzWFKdAZ3h1zT96TejNYj5SId5zbyal7Lqgtz8G0nl2he/QaWURJynt75wI6d+kLa/cwcRqN1KQ7vj8GL90hR1QLy6/llcL+zAEcPmsl4z70OTmNzBeiOjTA3/kuVHqo4P57xXyLxMS3YoCJbwWEfPH9BRn+z9G9qzImzlqOgHSJ9ZSyobYcB5bNhI7+XpSJBA4pg4pwLmwhmaCkKQplWFtbg7KifAR6vcTGxdPRe7CGzKtUxtZjZpAzlDp3x/MPUod+CGrhYHEYvfqMhFdEJpcmqK7CSUNtqE5YiCwaV1pQA6/H92Fl8whF5ULRlpPgh7XztHDN4Q2Sk5OQlJSElIRYnDq8DdffSCZ9fn4KFmkNgf7h69ymxlCH6+jYpQ8CxREIqNCuxqV9Bhg4SkccE5xXlImNM9WgsXQnyoiQoHkcblrC9oEztxGtriwPS7RGYeaOE2KhQU8bPLlOF30N98uI7/LkYIwl4v7ITTeFXtjRBcelQxvQY+gM5ItdMojoKcuCwZRhmLJoNwoaYzXnRgdAo58KVp+0JiKiniyi8mB98QLc338UR7+QsB6FjT7f1zya+3wnvLkDlb4j8So0DfU1FdixTAca8zajVCTgCKtyYjBpkDIW7jBvFOX1iH37BINUeuLEPXdOyBSlJ+D6xcvwa3SDqUgNxaCOHbDViPoTC8sqjPXDuCF9sOX0bS7cGU2jc4T/vd/QrrcG4qSt5ArKPHLv1QYPwrl7r6T6kwBRrjeh1F4JT32FpxjScWP16zr0HjkFQal55HfWIszDBVev2aCgMV67yyUjdO6kipdkgUI/Q9vypfkB9B4wCq+kLOt0w+XO+WOgvvQQFz4wxdcRKt374ZlPlNRYroGz5VGoqg7HuxihKG8QVONXfW30m7KUi8xBD4TxfGwPmztPUCZnPw51Wdq1cDxmH7CRsp4LyctPxUIylpcdtETDV1krviLy8t4VGKu9DNnlkhj/VUTkbpw9loyl/eJ5ozQ5FCO6tsPuS484IV2emwFbCwu88grl+mh+TBA0B/TEIduX4nstKM3GErV+2GDpiFryGa58kjfK8wn69ukPh8Bkzo97z9KpmKq/CzUNksVKSXoE5oztj1UHrgn3yJCxkeDjiH5dlXDuyXuunOLUOFhcNIc/GUvcKZa1PNif34Xlm3cjMiYOiYmJSEpMQgB5bs7ZtB+8xjrQvuFua4q+QzURLLUwUyQy8a0YYOJbAdGS+K7KS8TE7srYb/lc/DpUxPKUaMwc3h97bFzxVZROJvJXj6ywecMmbNm4WYabNu6AV3CS2PpASSfGJVPUYPW+hU0vjH+JAl4xVmkNxrYrT6WsNTQ+bRpWzNHGFMMtiE/9DFfri+im2heuIY07/yuyMX3MICj3HoyA+AyUZifCcOZotG37C5S7KUNZWcQu6K25gIuVKyy7Humh3hg5bBge+QnD5FVkJUJnRF+cdfCXsQQWJkdCW2MMDA78htS0dFgZ78PAMRPgFy8Mx1VXlEAeTh2hMnQcMolwoSLlneV5DO09BCfM7ZGVlQW3u+ehNmIiHr6XskiSOoS73kWvYWMRmKLoewnqiRB+jP69+sC9UTyJGOvlgKGDhuDU7afISEnAwTVLuLcJnwupf6gAKf5OnNvGjLW7mm96JeXmx/pDbdRIWLhJhStsvPbg1E6M11uJfHrSZX0DvKxNMWT0BIRJ7Q2gDHxiBeWe/WD32hcZ8R9hMGsKdLceQRF3qqEAb+0vcXVYZ2Iu/AwRb48tTqAL6TdnHrsjJyMZh9fOwvilO5Ao5aYiqOHj3KbFmLHxIBdqUJSuqKTuFydXzYPOHuqqJbnX1IK613A+hs9YjKjkNPg8uY1hQ0fgmiM9vIX0YV4JNi6YDKXuPeEaJfQ5FpTnY/ncSVDRnAffj4mICXiBKVqjsdviqVhQUfLz4qDeRwXnX9CDqcjnKvKxdvIobL3yRCL+CCsLMmA4eyomL9+C1MxsuN4wQ48Bw+EcFEfm9C+oLc3kxnLv4WoI+dw8RCUV3zv0xmHWHskJl0LW43OoB0YOHoLH/n+PDfFJXk8wZOR4eMsc/CNArI8LBg8YCGPbJ6RPpmLLwhkYM88QOTRsIOn/oe6P0L1zB8xZtQN8ug+GLOqt925F7z4aeODmh/zsz7h6ZC1GT1iKKCm3HxqByPHyMQycuQQF3NkDdQh5dBldR2jLhAOkdXjz8AYGDhuFGy/fIDU6DIuna2Hmur2oqiHX67/C1eYcd4rlZpNL3GLa2fo0VLp2QEclJan5VhmdOnXC2Sc+XNvSsr9+qcb5XSswddNBlPMV08WOiW/FABPfCoiWxHdJYiTmGmyU2iglYj0i3j5B78FqeB0p2chCN+NlJMTA198P/gH+MqRpGXmyMWHpxpZzGxfD8n1Lrg6Mf4lEsH50IIJg8lwifiSh/qjlhV9RBIdHd2BiYoRzFywQGp1BronauRY+zx/B2s4RxeXVKEhPxON793BPDj39Pol9IOmD/M6J3Zi3+QgXc5amUevfW8sz6KVjiCrp16vk4VFemIX7tjdgbGyMKxY2iOWOhW+sA7Xq2d6E3aM3Uj61AiRGhcLC/DyOHz+OC1duIjaFxumV9M+vddU4sUYPm85YS/nVKi5peDKjFQswZ/+FJgtcAXJTY3D9ygUYGZvg1p1nKCilB4IIr/HLCmF35TLcfWPlWL5pOLl8vHR+iejsJiH7ijMxbeRgWDoLRR1ldUEWVutMxq6rT9BA+ox0/tToYFw8dwbGJidh/8wD5fR47cY6FBNxbX3FEv6NpyvSNqXp0YHeuHDuNI4dO47bD5+jpJLu65CUWZwQCjUi6pzD5YR5U0SSexLn7YLRahrwbhoXuoaH1y8e4YSJMUzPXsSHwHiJtZT0/ai3brh64y7yyTgSfYZGd3F9dp98xgjGv53G+xD69kKqTHIPXa6ZYOT05Sij4oyk0QgdvvY3MGLyHMRLjWU6b9MIF3QsGxvRsXwFkXF00SnsEwIyjuhYtrnvhDIiEEWfE5PM2YGebvAIj5epAx3LFvvXYS6NHqLArlsy5FfAyHAB1py6KbNIovcoNyUaVy+ZwcjIGFa3nqOYLDxFz7yq/CzcuX4d7u+Ekb24e1dbjQBPd5iZnuL68Q2bx8gtrRJ/hrIyOwkrZk4iY+mDuO8LKoqxavIYHL3/muQV5uNI7nNiZADMzUxhcuI33H/kjgrOfVN4vSw9CZaXLRBIxpKgjg9flxdy51t7ewcU0r7UWHZxbBCma02EayjpdzJ9SHHIxLdigIlvBYS0+BYN4KqSXJzavQ5BMc2th3TDit3pvVCboit0U2hy/VtMj/+I98GR3GEVZRlxMFy4GNG5Pz8c0j+W5OF7da8h1uy+hNImR8eLHjStNWmHuN3D0sWruBjN4lfjhFRgHl02HbvNWj70o3lay+n0tSztr9LfIaKHnSkMVu5BNo1PL+e6wpH8jrKsOCyfMA4PvWV9dIUUtU9L9+hPkPSFK/tWY6eRFSqlHvz0QZ4e7oklU2fibcRn2c8QcnMDrUML/UReO4jaqGk6v7wAx9cuwUkLhxb6gmKSum84XD4M3UV75Mx5LbeN8B7Iu95SOm0LLyyeOxd+0U2Ol6+pwpU9y7FulzmKm7iQ0D7CjQk5bcRda5L2TZJyQtzuQl9/rULFW/8jLEwJw7JJ02HrFirnN8u/P5RcXnqt2XXSRnL6MY27fenARuw6ckVovZa6lhX5FlNHTMbbKGrQkL3WamOZkB4fv48sNkyvP5d5s6loZOJbMcDEtwJCJL4F/Ao8NzeF0W+XccaUrM595W3gqME7e1vMHa8OjcnT8czdu0k4q29RAOcrxhg+Rh27j52E0cFf8dxTeAy1/PyMrUF+cQ7ObdmAY5YPUS4tulqL9V/w8e1zrN52GMGxmXIf9FW5adizaCEuOXjLvDZvNZI6+D61gsH2E0jJKf1zYuMnk4697Eh/6M1bDMdQeky0/Hx/hdQf9f75ozhgZoNS0SEk0tcFtfjo7gA9/Q3wiRfuBWht8kvycNn4IM7aOBDBovhvJZqyurwId0x+xcajF4j4/Q7jiDA9whdrtuyEV0jzw6MoeYVZOLd9C45ctZfZWNiajHjjgDU7DiMiIetvNY6EFCD5w2usXGoIp6AYOdf/OuuqK2B94QQOn7VDoZR/uYR1iHR+iIWLViEotfkJmq1BGjXsxKFdOH/LGeXizbuKSSa+FQNMfCsgROKbhhe8cXAHZuutxIM3/jLRDySsQ0l+PnJyc5FLmF9U3OSV6bdZVVmO1MQExMUnCA/TYML7h7C6ogQer9+guPLPvan4I6R+/FFenkjLk7V4NyV1hXB2fyvlRtJ65EIVurohv3GD6N+PAuSnx8PDP/S7jIlaMrZ9PDzF0WXkkUbDSIkJh1/U99mDUZGfBf8PwTInOf7dWMevhPdbD+SI9zm0JgVIDQ5ATFr2N8dRdUUx3rx9i5Iqab/iVmJ9HaJ83v3uWFZokmdZVnIM/CKoG0nrbxStKStCgH8Qyqu/IXqpm8nHIIQnpn+X+8grzIZfYMR3mUtbm0x8KwaY+FZASNxOBODzeais+rsKGMZvkW5alJf+V0nF4h8tWxHqoMj8nr/hj7eR/PTWIGujb5Auuv5wG32/OvwT2ohS2I+/jzj9c/foe9VBfrqikYlvxQAT3wqI//7v/xaHAmRkZGRkZGRkbA3+13/9V6PSYPiZYOJbAfG///u/nPWbkZGRkZGRkbG1+D//8z+NSoPhZ4KJbwYGBgYGBgYGBoYfBCa+GRgYGBgYGBgYGH4QmPhWEPzf//0fIyMjIyMjI+MPJcOPBxPfDAwMDAwMDAwMDD8ITHwzMDAwMDAwMDAw/CAw8c3AwMDAwMDAwMDwg8DENwMDAwMDAwMDA8MPAhPfDAwMDAwMDAwMDD8ITHwzMDAwMDAwMDAw/CAw8c3AwMDAwMDAwMDwg8DENwMDAwMDAwMDA8MPAhPfDAwMDAwMDAwMDD8ITHwzMDAwMDAwMDAw/BAA/x8z7ZIRFCCHRQAAAABJRU5ErkJggg==" style="width:60.0%" />
</center>
</div>
<div id="choosing-the-smoothing-constant" class="slide section level1">
<h1>Choosing the Smoothing Constant</h1>
<ul>
<li>Best approach: choose the <span class="math inline">\(\alpha\)</span> that minimizes prediction error!</li>
</ul>
<center>
<img 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" style="width:80.0%" />
</center>
</div>
<div id="but-what-about-trends-seasonality" class="slide section level1">
<h1>But What About Trends & Seasonality?</h1>
<center>
<img 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" style="width:60.0%" />
</center>
</div>
<div id="differencing-summary" class="slide section level1">
<h1>Differencing Summary</h1>
<center>
<img 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" style="width:80.0%" />
</center>
</div>
<div id="data-example-lets-practice" class="slide section level1">
<h1>Data Example (Let’s practice!)</h1>
<p>Our goal is to use the data set ‘books.csv’ to forecast the next four day’s sales for paperback books.</p>
<p>Step 1: Load packages used</p>
<div class="sourceCode" id="cb1"><pre class="sourceCode r"><code class="sourceCode r"><span id="cb1-1"><a href="#cb1-1"></a><span class="kw">library</span>(tidyverse)</span>
<span id="cb1-2"><a href="#cb1-2"></a><span class="kw">library</span>(fpp2)</span></code></pre></div>
<p>Step 2: Import and convert paperback to time series object</p>
<div class="sourceCode" id="cb2"><pre class="sourceCode r"><code class="sourceCode r"><span id="cb2-1"><a href="#cb2-1"></a><span class="kw">setwd</span>(<span class="st">"C:/Users/fanzh/OneDrive - University of Cincinnati/UC_couse/000_Teaching_4090_SS21/Labs/Week12"</span>)</span>
<span id="cb2-2"><a href="#cb2-2"></a>books <-<span class="st"> </span><span class="kw">read_csv</span>(<span class="st">"books.csv"</span>)</span>
<span id="cb2-3"><a href="#cb2-3"></a><span class="kw">head</span>(books,<span class="dv">5</span>) </span></code></pre></div>
<pre><code>## # A tibble: 5 x 3
## Day Paperback Hardcover
## <dbl> <dbl> <dbl>
## 1 1 199 139
## 2 2 172 128
## 3 3 111 172
## 4 4 209 139
## 5 5 161 191</code></pre>
<div class="sourceCode" id="cb4"><pre class="sourceCode r"><code class="sourceCode r"><span id="cb4-1"><a href="#cb4-1"></a>paper.ts <-<span class="st"> </span><span class="kw">ts</span>(books[<span class="st">"Paperback"</span>], <span class="dt">start =</span> <span class="dv">1</span>, <span class="dt">frequency =</span> <span class="dv">1</span>)</span></code></pre></div>
<p>Note: Use of “[ ]” for subsetting and indexing</p>
</div>
<div id="data-example-contd" class="slide section level1">
<h1>Data Example (cont’d)</h1>
<p>Step 3: Plot the paperback series</p>
<div class="sourceCode" id="cb5"><pre class="sourceCode r"><code class="sourceCode r"><span id="cb5-1"><a href="#cb5-1"></a><span class="kw">autoplot</span>(paper.ts) <span class="op">+</span><span class="st"> </span><span class="kw">geom_smooth</span>(<span class="dt">method =</span> <span class="st">"lm"</span>, <span class="dt">linetype =</span> <span class="st">"dashed"</span>, <span class="dt">se =</span> <span class="ot">FALSE</span>, <span class="dt">size =</span> <span class="fl">.5</span>)</span></code></pre></div>
<p><img 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" width="768" /></p>
<ul>
<li>The data has upward trend, which is probably linear.</li>
<li>The data has cyclic structure, although seasonality is not present.</li>
</ul>
</div>
<div id="data-example-contd-1" class="slide section level1">
<h1>Data Example (cont’d)</h1>
<p>Step 4: Partition the data so that the last four observations are used for your test data</p>
<div class="sourceCode" id="cb6"><pre class="sourceCode r"><code class="sourceCode r"><span id="cb6-1"><a href="#cb6-1"></a><span class="kw">library</span>(forecast)</span>
<span id="cb6-2"><a href="#cb6-2"></a><span class="co"># partition</span></span>
<span id="cb6-3"><a href="#cb6-3"></a>paper_train <-<span class="st"> </span><span class="kw">subset</span>(paper.ts,<span class="dt">end =</span> <span class="kw">length</span>(paper.ts)<span class="op">-</span><span class="st"> </span><span class="dv">4</span>)</span>
<span id="cb6-4"><a href="#cb6-4"></a>paper_test <-<span class="st"> </span><span class="kw">subset</span>(paper.ts,<span class="dt">start =</span> <span class="kw">length</span>(paper.ts) <span class="op">-</span><span class="st"> </span><span class="dv">3</span>)</span>
<span id="cb6-5"><a href="#cb6-5"></a></span>
<span id="cb6-6"><a href="#cb6-6"></a>paper_train </span></code></pre></div>
<pre><code>## Time Series:
## Start = 1
## End = 26
## Frequency = 1
## [1] 199 172 111 209 161 119 195 195 131 183 143 141 168 201 155 243 225 167 237
## [20] 202 186 176 232 195 190 182</code></pre>
<div class="sourceCode" id="cb8"><pre class="sourceCode r"><code class="sourceCode r"><span id="cb8-1"><a href="#cb8-1"></a>paper_test</span></code></pre></div>
<pre><code>## Time Series:
## Start = 27
## End = 30
## Frequency = 1
## [1] 222 217 188 247</code></pre>
</div>
<div id="data-example-contd-2" class="slide section level1">
<h1>Data Example (cont’d)</h1>
<p>Step 5: Use simple exponential smoothing and explore different values of <span class="math inline">\(\alpha\)</span> (.1, .2, .3, etc). Record the test prediction RMSE for the forecasts. How does <span class="math inline">\(\alpha\)</span> affect the forecasts?</p>
<p>Perform SES with alpha = .1, .2, .3</p>
<div class="sourceCode" id="cb10"><pre class="sourceCode r"><code class="sourceCode r"><span id="cb10-1"><a href="#cb10-1"></a>ses<span class="fl">.1</span> <-<span class="st"> </span><span class="kw">ses</span>(paper_train, <span class="dt">alpha =</span> <span class="fl">0.1</span>, <span class="dt">h =</span> <span class="dv">4</span>)</span>
<span id="cb10-2"><a href="#cb10-2"></a>ses<span class="fl">.2</span> <-<span class="st"> </span><span class="kw">ses</span>(paper_train, <span class="dt">alpha =</span> <span class="fl">0.2</span>, <span class="dt">h =</span> <span class="dv">4</span>)</span>
<span id="cb10-3"><a href="#cb10-3"></a>ses<span class="fl">.3</span> <-<span class="st"> </span><span class="kw">ses</span>(paper_train, <span class="dt">alpha =</span> <span class="fl">0.3</span>, <span class="dt">h =</span> <span class="dv">4</span>)</span></code></pre></div>
</div>
<div id="data-example-contd-3" class="slide section level1">
<h1>Data Example (cont’d)</h1>
<p>Step 6: Assess prediction accuracy:</p>
<div class="sourceCode" id="cb11"><pre class="sourceCode r"><code class="sourceCode r"><span id="cb11-1"><a href="#cb11-1"></a><span class="kw">accuracy</span>(ses<span class="fl">.1</span>, paper_test)</span></code></pre></div>
<pre><code>## ME RMSE MAE MPE MAPE MASE
## Training set 5.942452 34.13232 26.96938 -0.4295321 15.61521 0.6629641
## Test set 29.104802 35.86558 29.80240 12.4969025 12.86797 0.7326057
## ACF1 Theil's U
## Training set -0.1160565 NA
## Test set -0.4716847 0.9675242</code></pre>
<div class="sourceCode" id="cb13"><pre class="sourceCode r"><code class="sourceCode r"><span id="cb13-1"><a href="#cb13-1"></a><span class="kw">accuracy</span>(ses<span class="fl">.2</span>, paper_test)</span></code></pre></div>
<pre><code>## ME RMSE MAE MPE MAPE MASE
## Training set 4.490054 34.26272 28.43388 -1.082746 16.42398 0.6989645
## Test set 24.740097 32.42410 27.62005 10.480351 12.01224 0.6789589
## ACF1 Theil's U
## Training set -0.2169554 NA
## Test set -0.4716847 0.8866256</code></pre>
<div class="sourceCode" id="cb15"><pre class="sourceCode r"><code class="sourceCode r"><span id="cb15-1"><a href="#cb15-1"></a><span class="kw">accuracy</span>(ses<span class="fl">.3</span>, paper_test)</span></code></pre></div>
<pre><code>## ME RMSE MAE MPE MAPE MASE
## Training set 2.685266 35.06664 29.87898 -2.080051 17.34698 0.7344883
## Test set 25.458492 32.97552 27.97925 10.812259 12.15309 0.6877887
## ACF1 Theil's U
## Training set -0.2737697 NA
## Test set -0.4716847 0.8995712</code></pre>
</div>
<div id="data-example-contd-4" class="slide section level1">
<h1>Data Example (cont’d)</h1>
<p>Step 7: Let’s automate this process and assess alpha 0.01 - 0.99:</p>
<div class="sourceCode" id="cb17"><pre class="sourceCode r"><code class="sourceCode r"><span id="cb17-1"><a href="#cb17-1"></a><span class="co"># First, I create a vector of values from 0.01 to 0.99 with step 0.01</span></span>
<span id="cb17-2"><a href="#cb17-2"></a>alpha <-<span class="st"> </span><span class="kw">seq</span>(<span class="fl">0.01</span>, <span class="fl">0.99</span>, <span class="fl">0.01</span>) </span></code></pre></div>
<p>Initialization of variable RMSE with a single value NA.</p>
<div class="sourceCode" id="cb18"><pre class="sourceCode r"><code class="sourceCode r"><span id="cb18-1"><a href="#cb18-1"></a>RMSE <-<span class="st"> </span><span class="ot">NA</span></span></code></pre></div>
<p>Iterate through all values of vector alpha and assess prediction accuracy</p>
<div class="sourceCode" id="cb19"><pre class="sourceCode r"><code class="sourceCode r"><span id="cb19-1"><a href="#cb19-1"></a><span class="cf">for</span>(i <span class="cf">in</span> <span class="kw">seq_along</span>(alpha)) {</span>
<span id="cb19-2"><a href="#cb19-2"></a> fcast <-<span class="st"> </span><span class="kw">ses</span>(paper_train, <span class="dt">alpha =</span> alpha[i], <span class="dt">h =</span> <span class="dv">4</span>)</span>
<span id="cb19-3"><a href="#cb19-3"></a> RMSE[i] <-<span class="st"> </span><span class="kw">accuracy</span>(fcast, paper_test)[<span class="dv">2</span>, <span class="dv">2</span>]</span>
<span id="cb19-4"><a href="#cb19-4"></a>}</span>
<span id="cb19-5"><a href="#cb19-5"></a></span>
<span id="cb19-6"><a href="#cb19-6"></a><span class="co"># turn our RMSE values for alpha .01-.99 into a data frame</span></span>
<span id="cb19-7"><a href="#cb19-7"></a>error <-<span class="st"> </span><span class="kw">data_frame</span>(alpha, RMSE)</span>
<span id="cb19-8"><a href="#cb19-8"></a>minimum <-<span class="st"> </span><span class="kw">filter</span>(error, RMSE <span class="op">==</span><span class="st"> </span><span class="kw">min</span>(RMSE))</span>
<span id="cb19-9"><a href="#cb19-9"></a></span>
<span id="cb19-10"><a href="#cb19-10"></a><span class="co"># plot RMSE values for alpha .01-.99</span></span>
<span id="cb19-11"><a href="#cb19-11"></a><span class="kw">ggplot</span>(error, <span class="kw">aes</span>(alpha, RMSE)) <span class="op">+</span></span>
<span id="cb19-12"><a href="#cb19-12"></a><span class="st"> </span><span class="kw">geom_line</span>() <span class="op">+</span></span>
<span id="cb19-13"><a href="#cb19-13"></a><span class="st"> </span><span class="kw">geom_point</span>(<span class="dt">data =</span> minimum, <span class="dt">color =</span> <span class="st">"blue"</span>, <span class="dt">size =</span> <span class="dv">2</span>) <span class="op">+</span></span>
<span id="cb19-14"><a href="#cb19-14"></a><span class="st"> </span><span class="kw">ggtitle</span>(<span class="st">"alpha's impact on simple exponential smoothing forecast errors"</span>,</span>
<span id="cb19-15"><a href="#cb19-15"></a> <span class="dt">subtitle =</span> <span class="st">"alpha = 0.22 minimizes RMSE"</span>)</span></code></pre></div>
<p><img src="data:image/png;base64,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" width="768" /></p>
</div>
<div id="data-example-contd-5" class="slide section level1">
<h1>Data Example (cont’d)</h1>
<p>Step 8: Now let the R select the optimal alpha value. Use this value to generate forecasts for the next four days. Compare results with auto select model:</p>
<div class="sourceCode" id="cb20"><pre class="sourceCode r"><code class="sourceCode r"><span id="cb20-1"><a href="#cb20-1"></a>ses.auto <-<span class="st"> </span><span class="kw">ses</span>(paper_train, <span class="dt">h =</span> <span class="dv">4</span>)</span>
<span id="cb20-2"><a href="#cb20-2"></a><span class="kw">summary</span>(ses.auto)</span></code></pre></div>
<pre><code>##
## Forecast method: Simple exponential smoothing
##
## Model Information:
## Simple exponential smoothing
##
## Call:
## ses(y = paper_train, h = 4)
##
## Smoothing parameters:
## alpha = 0.1351
##
## Initial states:
## l = 171.713
##
## sigma: 35.4645
##
## AIC AICc BIC
## 274.1931 275.2840 277.9674
##
## Error measures:
## ME RMSE MAE MPE MAPE MASE ACF1
## Training set 5.740754 34.0732 27.41353 -0.4571133 15.81877 0.6738824 -0.1616501
##
## Forecasts:
## Point Forecast Lo 80 Hi 80 Lo 95 Hi 95
## 27 191.8781 146.4285 237.3277 122.3690 261.3873
## 28 191.8781 146.0156 237.7406 121.7375 262.0188
## 29 191.8781 145.6064 238.1498 121.1116 262.6446
## 30 191.8781 145.2008 238.5555 120.4913 263.2650</code></pre>
<div class="sourceCode" id="cb22"><pre class="sourceCode r"><code class="sourceCode r"><span id="cb22-1"><a href="#cb22-1"></a><span class="co"># optimal alpha for prediction accuracy (based on above for loop results)</span></span>
<span id="cb22-2"><a href="#cb22-2"></a>ses.optimal <-<span class="st"> </span><span class="kw">ses</span>(paper_train, <span class="dt">alpha =</span> <span class="fl">.22</span>, <span class="dt">h =</span> <span class="dv">4</span>)</span>
<span id="cb22-3"><a href="#cb22-3"></a></span>
<span id="cb22-4"><a href="#cb22-4"></a><span class="kw">accuracy</span>(ses.auto, paper_test)</span></code></pre></div>
<pre><code>## ME RMSE MAE MPE MAPE MASE
## Training set 5.740754 34.07320 27.41353 -0.4571133 15.81877 0.6738824
## Test set 26.621870 33.88176 28.56094 11.3497551 12.38117 0.7020879
## ACF1 Theil's U
## Training set -0.1616501 NA
## Test set -0.4716847 0.9208597</code></pre>
<div class="sourceCode" id="cb24"><pre class="sourceCode r"><code class="sourceCode r"><span id="cb24-1"><a href="#cb24-1"></a><span class="kw">accuracy</span>(ses.optimal, paper_test)</span></code></pre></div>
<pre><code>## ME RMSE MAE MPE MAPE MASE
## Training set 4.085371 34.38411 28.72038 -1.299844 16.60708 0.7060073
## Test set 24.654625 32.35893 27.57731 10.440862 11.99548 0.6779084
## ACF1 Theil's U
## Training set -0.2300195 NA
## Test set -0.4716847 0.885096</code></pre>
</div>
<div id="data-example-contd-6" class="slide section level1">
<h1>Data Example (cont’d)</h1>
<p>Step 9: Plot the forecasted values with the alpha that minizes the prediction error:</p>
<div class="sourceCode" id="cb26"><pre class="sourceCode r"><code class="sourceCode r"><span id="cb26-1"><a href="#cb26-1"></a><span class="kw">autoplot</span>(ses.optimal) <span class="op">+</span></span>
<span id="cb26-2"><a href="#cb26-2"></a><span class="st"> </span><span class="kw">autolayer</span>(ses.optimal<span class="op">$</span>fitted)</span></code></pre></div>
<p><img 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" 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