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<meta name="author" content="(Lagging a Time series& Computing Successive Differences in R)" />
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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
      w3c_slidy.remove_class(node, "invisible");

    return node;
  },

  // exact inverse of revealNextItem(node)
  hide_previous_item: function (node) {
    if (node && node.nodeType == 1)  // an element
      w3c_slidy.add_class(node, "invisible");

    return this.previous_incremental_item(node);
  },

  // left to right traversal of root's content
  next_node: function (root, node) {
    if (node == null)
      return root.firstChild;

    if (node.firstChild)
      return node.firstChild;

    if (node.nextSibling)
      return node.nextSibling;

    for (;;)
    {
      node = node.parentNode;

      if (!node || node == root)
        break;

      if (node && node.nextSibling)
        return node.nextSibling;
    }

    return null;
  },

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// for each language define an associative array
// and also the help text which is longer

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    "help?":"Ayuda",
    "contents?":"Índice",
    "table of contents":"tabla de contenidos",
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    "restart presentation":"Reiniciar presentació",
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    "restart presentation":"herstart presentatie",
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  },
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    "contents?":"Übersicht",
    "table of contents":"Inhaltsverzeichnis",
    "Table of Contents":"Inhaltsverzeichnis",
    "restart presentation":"Präsentation neu starten",
    "restart?":"Neustart"
  },
  help_de:
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    "help?":"pomoc?",
    "contents?":"spis treści?",
    "table of contents":"spis treści",
    "Table of Contents":"Spis Treści",
    "restart presentation":"Restartuj prezentację",
    "restart?":"restart?"
  },
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    "slide":"page",
    "help?":"Aide",
    "contents?":"Index",
    "table of contents":"table des matières",
    "Table of Contents":"Table des matières",
    "restart presentation":"Recommencer l'exposé",
    "restart?":"Début"
  },
  help_fr:
    "Naviguez avec la souris, la barre d'espace, les flèches " +
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    "help?":"segítség",
    "contents?":"tartalom",
    "table of contents":"tartalomjegyzék",
    "Table of Contents":"Tartalomjegyzék",
    "restart presentation":"bemutató újraindítása",
    "restart?":"újraindítás"
  },
  help_hu:
    "Az oldalak közti lépkedéshez kattintson az egérrel, vagy " +
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    "slide":"pag.",
    "help?":"Aiuto",
    "contents?":"Indice",
    "table of contents":"indice",
    "Table of Contents":"Indice",
    "restart presentation":"Ricominciare la presentazione",
    "restart?":"Inizio"
  },
  help_it:
    "Navigare con mouse, barra spazio, frecce sinistra/destra o " +
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    "slide":"σελίδα",
    "help?":"βοήθεια;",
    "contents?":"περιεχόμενα;",
    "table of contents":"πίνακας περιεχομένων",
    "Table of Contents":"Πίνακας Περιεχομένων",
    "restart presentation":"επανεκκίνηση παρουσίασης",
    "restart?":"επανεκκίνηση;"
  },
  help_el:
    "Πλοηγηθείτε με το κλίκ του ποντικιού, το space, τα βέλη αριστερά/δεξιά, " +
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  strings_ja: {
    "slide":"スライド",
    "help?":"ヘルプ",
    "contents?":"目次",
    "table of contents":"目次を表示",
    "Table of Contents":"目次",
    "restart presentation":"最初から再生",
    "restart?":"最初から"
  },
  help_ja:
     "マウス左クリック ・ スペース ・ 左右キー " +
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  strings_zh: {
    "slide":"幻灯片",
    "help?":"帮助?",
    "contents?":"内容?",
    "table of contents":"目录",
    "Table of Contents":"目录",
    "restart presentation":"重新启动展示",
    "restart?":"重新启动?"
  },
  help_zh:
    "用鼠标点击, 空格条, 左右箭头, Pg Up 和 Pg Dn 导航. " +
    "用 S, B 改变字体大小.",

  strings_ru: {
    "slide":"слайд",
    "help?":"помощь?",
    "contents?":"содержание?",
    "table of contents":"оглавление",
    "Table of Contents":"Оглавление",
    "restart presentation":"перезапустить презентацию",
    "restart?":"перезапуск?"
  },
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    "help?":"hjälp",
    "contents?":"innehåll",
    "table of contents":"innehållsförteckning",
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    "restart presentation":"visa presentationen från början",
    "restart?":"börja om"
  },
  help_sv:
    "Bläddra med ett klick med vänstra musknappen, mellanslagstangenten, " +
    "vänster- och högerpiltangenterna eller tangenterna Pg Up, Pg Dn. " +
    "Använd tangenterna S och B för att ändra textens storlek.",

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      "ca":this.strings_ca,
      "cs":this.strings_cs,
      "nl":this.strings_nl,
      "de":this.strings_de,
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      "fr":this.strings_fr,
      "hu":this.strings_hu,
      "it":this.strings_it,
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</head>
<body>
<div class="slide titlepage">
<h1 class="title">Basic Tools For Forecasting</h1>
<p class="author">
Week 3 R-lab<br />(Lagging a Time series& Computing Successive Differences in R)<br />Zhaohu(Jonathan) Fan
</p>
<p class="date">05/27/2021</p>
</div>
<div id="transformations" class="slide section level1">
<h1>Transformations</h1>
<p>Summary of <a href="Dulles.xlsx">Dulles Excel</a></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="co"># Step 0: Load R packages (R Environment Preparation)</span></span>
<span id="cb1-2"><a href="#cb1-2"></a><span class="co"># - Load the required packages to execute the assignment.</span></span>
<span id="cb1-3"><a href="#cb1-3"></a><span class="co"># - Make sure the following packages are installed on your computer.</span></span>
<span id="cb1-4"><a href="#cb1-4"></a><span class="kw">library</span>(zoo)</span>
<span id="cb1-5"><a href="#cb1-5"></a><span class="kw">library</span>(readxl)</span>
<span id="cb1-6"><a href="#cb1-6"></a><span class="kw">library</span>(forecast)</span>
<span id="cb1-7"><a href="#cb1-7"></a><span class="kw">library</span>(quantmod)</span>
<span id="cb1-8"><a href="#cb1-8"></a><span class="kw">library</span>(ggplot2)</span>
<span id="cb1-9"><a href="#cb1-9"></a><span class="co"># Set working directory</span></span>
<span id="cb1-10"><a href="#cb1-10"></a><span class="kw">setwd</span>(<span class="st">"C:/Users/fanzh/OneDrive - University of Cincinnati/UC_couse/000_Teaching_4090_SS21/Labs/Week3"</span>)</span>
<span id="cb1-11"><a href="#cb1-11"></a>Dulles <-<span class="st"> </span><span class="kw">read_xlsx</span>(<span class="st">"Dulles.xlsx"</span>)</span>
<span id="cb1-12"><a href="#cb1-12"></a><span class="kw">summary</span>(Dulles)</span></code></pre></div>
<pre><code>## Year Passengers (000s)
## Length:53 Min. : 640.5
## Class :character 1st Qu.: 2083.1
## Mode :character Median : 8946.6
## Mean : 8455.9
## 3rd Qu.:14393.0
## Max. :22129.0</code></pre>
</div>
<div id="transformations-1" class="slide section level1">
<h1>Transformations</h1>
<p><span class="math inline">\(\color{red}{\text{Dulles, we have a problem!}}\)</span></p>
<p>Time series plot of Dulles</p>
<div class="sourceCode" id="cb3"><pre class="sourceCode r"><code class="sourceCode r"><span id="cb3-1"><a href="#cb3-1"></a><span class="co">#library(ggplot2); library(ggfortify); library(zoo)</span></span>
<span id="cb3-2"><a href="#cb3-2"></a>Dulles2 <-<span class="st"> </span><span class="kw">ts</span>(<span class="dt">data =</span> Dulles<span class="op">$</span><span class="st">`</span><span class="dt">Passengers (000s)</span><span class="st">`</span>, <span class="dt">start =</span> <span class="kw">as.yearmon</span>(<span class="st">"1963-12"</span>), <span class="dt">frequency =</span> <span class="dv">1</span>)</span>
<span id="cb3-3"><a href="#cb3-3"></a><span class="kw">autoplot</span>(Dulles2,<span class="dt">main =</span> <span class="st">"Time Series Plot of Domestic Passengers at Dulles, 1963–2015"</span>)</span></code></pre></div>
<p><img 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dZ3upen2z/LGWMPQXp3j8/JM84guXPvegSQntcycLvuewBXdrDnfvbt0eCj3wH/0aOxL4Mb7Kcng0/Vk0e3c8vj3yTu3rHDffplZ/mhP16f3IfuH5NMftB7Jzq/WrwDsPKsWQCdr/vp+1Ldv+/8Ypy+KPHiJj0C6Fn39FXI+VHTMQHcf3Y6x/B4usX7yfg4XP3iWuMC6JxBfnHzqY/bZX3He3m+/enxvCh34BSR04h56V8fj3pfci5/cnHvegRwPnXzG//2dPzrytZe3cGe+9mzR+OP/kuvf9grANPjbRTA+c6e79zpsXjpX12WNDT/87NTD798p7Wy36j0TpwEc+3LrMkasmoBbD/Bs/1N6vkbJbv85me7rwP+WvLZ1OwmfQLoWffjv9ot9fWLL5geE8D2j7E82v7pj/Ovyvar1Df/LL+v2bVGBPC1P/ybazef/Lhd1ne4l53bW/8gzCn7P4OyXfP0KF9yeh7Z7N71CeB+9wdhttfpnIg4vLX9nCv383KPrjz6+z9O8/DgDwjA8nhbBXD4yzjfTD5uvTvI+aVum3982KuB4//5a6jzE/79AdOv/eD6i7z937MZ+r0j68liBEDILZH5MoLPXrv2WXZCigQBkPWl85pA5kz0Dx+NfS80Ie5BAGR96Zx+/mz4PMd15ZnGCxmyriAAsr4cT0S8/+3P8vdq15oPH2l4jKwrCICsMN1zfDUG5zPTH28kxDcIgKwwnb/3efHXZwgh1iAAssrsT0T80h9xIjohtwcBEEJIo0EAhBDSaBAAIYQ0GgRACCGNBgEQQkijQQCEENJoEAAhhDQaBEAIIY0GARBCSKNBAIQQ0mgQACGENBoEQAghjQYBEEJIo0EAhBDSaKoL4HmplFt5DFyN3GLNDZZMzZFctZKz+YsA/MFqLWMBI4BIdDVwezXLlZzNXwTgD1ZrGQsYAUSiq4Hbq1mu5Gz+IgB/sFrLWMAIIBJdDdxezXIlZ/MXAfiD1VrGAkYAkehq4PZqlis5m78IwB+s1jIWMAKIRFcDt1ezXMnZ/EUA/mC1lrGAEUAkuhq4vZrlSs7mLwLwB6u1jAWMACLR1cDt1SxXcjZ/EYA/WK1lLGAEEImuBm6vZrmSs/mLAPzBai1jASOASHQ1cHs1y5WczV8E4A9WaxkLGAFEoquB26tZruRs/iIAf7Bay1jACCASXQ3cXs1yJWfzFwH4g9VaxgJGAJHoauD2apYrOZu/CMAfrNYyFjACiERXA7dXs1zJ2fxFAP5gtZaxgBFAJLoauL2a5UrO5i8C8AertYwFjAAi0dXA7dUsV3I2fxGAP1itZSxgBBCJrgZur2a5krP5iwD8wWotYwEjgEh0NXB7NcuVnM1fBOAPVmsZCxgBRKKrgdurWa7kbP4iAH+wWstYwAggEl0N3F7NciVn8xcB+IPVWsYCRgCR6Grg9mqWKzmbvwjAH6zWMhYwAohEVwO3V7Ncydn8RQD+YLWWsYARQCS6Gri9muVKzuYvAvAHq7WMBYwAItHVwO3VLFdyNn8RgD9YrWUsYAQQia4Gbq9muZKz+YsA/MFqLWMBI4BIdDVwezXLlZzNXwTgD1ZrGQsYAUSiq4Hbq1mu5Gz+IgB/sFrLWMAIIBJdDdxezXIlZ/MXAfiD1VrGAkYAkehq4PZqlis5m78IwB+s1jIWMAKIRFcDt1ezXMnZ/K0uAEIIIXVSXQBFLLczXbGVx8BqzxksYF4BRKKrgdurWa7kbP4iAH+wWstYwAggEl0N3F7NciVn8xcB+IPVWsYCRgCR6Grg9mqWKzmbvwjAH6zWMhYwAohEVwO3V7Ncydn8RQD+YLWWsYARQCS6Gri9muVKzuYvAvAHq7WMBYwAItHVwO3VLFdyNn8RgD9YrWUsYAQQia4Gbq9muZKz+YsA/MFqLWMBI4BIdDVwezXLlZzNXwTgD1ZrGQsYAUSiq4Hbq1mu5Gz+IgB/sFrLWMAIIBJdDdxezXIlZ/MXAfiD1VrGAkYAkehq4PZqlis5m78IwB+s1jIWMAKIRFcDt1ezXMnZ/EUA/mC1lrGAEUAkuhq4vZrlSs7mLwLwB6u1jAWMACLR1cDt1SxXcjZ/EYA/WK1lLGAEEImuBl5YzZtNee7CSp6/ahoE4A9WaxkLGAFEoquBF1bzprwBllby/FXTIAB/sFrLWMAIIBJdDbywmhHADaumQQD+YLWWsYARQCS6GnhhNSOAG1ZNgwD8wWotYwEjgEh0NfDCakYAN6yaBgH4g9VaxgJGAJHoauCF1YwAblg1DQLwB6u1jAWMACLR1cALqxkB3LBqGgTgD1ZrGQsYAUSiq4GXVfMGAdywahoE4A9WaxkLGAFEoquBl1Xzw/gvboCFleywahoE4A9WaxkLGAFEoquBl1UzArhl1TQIwB+s1jIWMAKIRFcDL6tmBHDLqmkQgD9YrWUsYAQQia4GXlbNCOCWVdMgAH+wWstYwAggEl0NvKyaEcAtq6ZBAP5gtZaxgBFAJLoaeFk1I4BbVk2DAPzBai1jASOASHQ18KJq3g5/BDB51TQIwB+s1jIWMAKIRFcDL6pmBHDTqmkQgD9YrWUsYAQQia4GXlTNu+Ff2gDLKtlj1TQIwB+s1jIWMAKIRFcDL6pmBHDTqmkQgD9YrWUsYAQQia4GXlTNCOCmVdMgAH+wWstYwAggEl0NvKiaEcBNq6ZBAP5gtZaxgBFAJLoaeFE1I4CbVk2DAPzBai1jASOASHQ18JJq3o9+BDB11TQIwB+s1jIWMAKIRFcDL6lmBHDbqmkQgD9YrWUsYAQQia4GXlLNCOC2VdMgAH+wWstYwAggEl0NvKSaD6O/sAEWVbLLqmkQgD9YrWUsYAQQia4GXlLNCOC2VdMgAH+wWstYwAggEl0NvKSaEcBtq6ZBAP5gtZaxgBFAJLoaeEk1I4DbVk2DAPzBai1jASOASHQ18IJqPg5+BDBx1TQIwB+s1jIWMAKIRFcDL6hmBHDjqmkQgD9YrWUsYAQQia4GXlDNCODGVdMgAH+wWstYwAggEl0NvKCaT4O/rAGWVLLPqmkQgD9YrWUsYAQQia4GXlDNCODGVdMgAH+wWstYwAggEl0NvKCaEcCNq6ZBAP5gtZaxgBFAJLoaeEE1I4AbV02DAPzBai1jASOASHQ18HJqPo99BDBt1TQIwB+s1jIWMAKIRFcDL6dmBHDrqmkQgD9YrWUsYAQQia4GXk7NCODWVdMgAH+wWstYwAggEl0NvJyaEcCtq6ZBAP5gtZaxgBFAJLoaeDk1d8Z+UQMsqGSnVdMgAH+wWstYwAggEl0NvJyaEcCtq6ZBAP5gtZaxgBFAJLoaeDk1I4BbV02DAPzBai1jASOASHQ18GJq7g59BDBp1TQIwB+s1jIWMAKIRFcDL6ZmBHDzqmkQgD9YrWUsYAQQia4GXkzNCODmVdMgAH+wWstYwAggEl0NvJiaEcDNq6ZBAP5gtZaxgBFAJLoaeDE1I4CbV02DAPzBai1jASOASHQ18GJqToZ+SQMsp2SvVdMgAH+wWstYwAggEl0NvJiaEcDNq6ZBAP5gtZaxgBFAJLoaeCk1pyMfAUxZNQ0C8AertYwFjAAi0dXAS6kZAdy+ahoE4A9WaxkLGAFEoquBl1IzArh91TQIwB+s1jIWMAKIRFcDL6VmBHD7qmkQgD9YrWUsYAQQia4GXkrNCOD2VdMgAH+wWstYwAggEl0NvJSas5Ff0ACLKdlt1TQIwB+s1jIWMAKIRFcDL6VmBHD7qmkQgD9YrWUsYAQQia4GXkjN+cBHABNWTYMA/MFqLWMBI4BIdDXwQmpGADNWTYMA/MFqLWMBI4BIdDXwQmpGADNWTYMA/MFqLWMBI4BIdDXwQmpGADNWTYMA/MFqLWMBI4BIdDXwQmpGADNWTYMA/MFqLWMBI4BIdDXwQmpGADNWTYMA/MFqLWMBI4BIdDXwQmq+GPjlDLCUkv1WTYMA/MFqLWMBI4BIdDXwMmq+HPcIwL5qGgTgD1ZrGQsYAUSiq4GXUTMCmLNqGgTgD1ZrGQsYAUSiq4GXUTMCmLNqGgTgD1ZrGQsYAUSiq4GXUTMCmLNqGgTgD1ZrGQsYAUSiq4GXUTMCmLNqGgTgD1ZrGQsYAUSiq4GXUTMCmLNqGgTgD1ZrGQsYAUSiq4GXUTMCmLNqGgTgD1ZrGQsYAUSiq4EXUXPftC9mgGWU7LlqGgTgD1ZrGQsYAUSiq4EXUTMCmLVqGgTgD1ZrGQsYAUSiq4EXUTMCmLVqGgTgD1ZrGQsYAUSiq4EXUTMCmLVqGgTgD1ZrGQsYAUSiq4EXUTMCmLVqGgTgD1ZrGQsYAUSiq4EXUTMCmLVqGgTgD1ZrGQsYAUSiq4EXUTMCmLVqGgTgD1ZrGQsYAUSiq4GXUHPvrEcA5lXTIAB/sFrLWMAIIBJdDbyEmvtnfSkDLKJk11XTIAB/sFrLWMAIIBJdDbyEmhHAvFXTIAB/sFrLWMAIIBJdDbyEmhHAvFXTIAB/sFrLWMAIIBJdDbyEmhHAvFXTIAB/sFrLWMAIIBJdDbyEmhHAvFXTIAB/sFrLWMAIIBJdDbyEmhHAvFXT3CSAf/rTu7tXfvj2/sIXbz2+u5t4AQEUQlcDI4BIdDXwAmoemPQIwLrqfAH83d0ur/xie+HzN3YXvv3rCRcQQCl0NTACiERXAy+g5qFJX8gASyjZd9XZAvjg7pV/c3//6Zv7af707tW3txdefc9+AQGUQlcDI4BIdDXwAmpGADNXnSuAL968+7Pt/z88p3/4/08e7zTw+Rvb1wPGCwigGLoaGAFEoquBF1AzApi56lwBfP7G4TjO07sf39+/e/fd3YV3J1xAAMXQ1cAIIBJdDbyAmhHAzFXnCuCUnQCe7l8O3H+wnfDGCwigGLoaGAFEoquBF1AzApi5qpcAdodzvnjzcEznk8evvme8sL/57x9yM58Q0l42AyNr6Ofkam5/1HZHdRAAISQug3MeAdyUmx+1D3angXYm+7d/bbyQrlPkZc7upU6xlcfAai8aLWAOAUWiq4Hr1zx4pIdDQMZVfQTwweNXtkf1b38FgABKoKuBEUAkuhq4fs3Dc76MARZQsvOqLgJ49/AxMATQA1ZrGQsYAUSiq4Hr14wA5q7qIYC/uzuez89ZQJdgtZaxgBFAJLoauH7NCGDuqvMF8MXTu+8cj+QfT+w/nO1vuoAAiqGrgRFAJLoauH7NCGDuqvMF8LTzhQ58EvgSrNYyFjACiERXA9evGQHMXXW2AN7tfqHPF2/efef0JT/GCwigGLoaGAFEoquBq9d8ZcojANuqcwVw+F7PbbbH8z/tfs2n8QICKIWuBkYAkehq4Oo1I4DZq84VwAd3iQDuP33r4b9+eHhib7yAAAqhq4ERQCS6Grh6zQhg9qpzBeCcIkXuCi228hhYrWUsYAQQia4Grl7ztSlfxAD1S/ZeNQ0C8AertYwFjAAi0dXA1WtGALNXTYMA/MFqLWMBI4BIdDVw9ZoRwOxV0yAAf7Bay1jACCASXQ1cvWYEMHvVNAjAH6zWMhYwAohEVwPXrvnqjEcAplXTIAB/sFrLWMAIIBJdDVy7ZgQwf9U0CMAfrNYyFjACiERXA9euGQHMXzUNAvAHq7WMBYwAItHVwLVrvj7jSxigesnuq6ZBAP5gtZaxgBFAJLoauHbNCGD+qmkQgD9YrWUsYAQQia4Grl0zApi/ahoE4A9WaxkLGAFEoquBa9eMAOavmgYB+IPVWsYCRgCR6GrgyjWPTHgEYFk1DQLwB6u1jAWMACLR1cAIIDAIYF6hxVYeA6u1jAWMACLR1cAIIDAIYF6hxVYeA6u1jAWMACLR1cAIIDAIYF6hxVYeA6u1jAWMACLR1cDLFkAJA9Qu2X/VNAjAH6zWMhYwAohEVwMjgMAggHmFFlt5DKzWMhYwAohEVwMjgMAggHmFFlt5DKzWMhYwAohEVwPXrXl0viMAw6ppEIA/WK1lLGAEEImuBkYAgUEA8wottvIYWK1lLGAEEImuBkYAgUEA8wottvIYWK1lLGAEEImuBkYAgUEA8wottvIYWK1lLGAEEImuBkYAgUEA8wottvIYWK1lLGAEEImuBl64AAoYQG6bs/mLAPzBai1jASOASHQ1MAIIDAKYV2ixlcfAai1jASOASHQ1cNWaDdMdAYyvmgYB+IPVWsYCRgCR6GpgBBAYBDCv0GIrj4HVWsYCRgCR6GpgBBAYBDCv0GIrj4HVWsYCRgCR6GpgBBAYBDCv0GIrj4HVWsYCRgCR6GpgBBAYBDCv0GIrj4HVWsYCRgCR6GpgBBAYBDCv0GIrj4HVWsYCRgCR6GrgpQvA3wBy25zNXwTgD1ZrGQsYAUSiq4Fr1mya7QhgdNU0CMAfrNYyFjACiERXAyOAwCCAeYUWW3kMrNYyFjACiERXAyOAwCCAeYUWW3kMrNYyFjACiERXAyOAwCCAeYUWW3kMrNYyFjACiERXAyOAwCCAeYUWW3kMrNYyFjACiERXAyOAwCCAeYUWW3kMrNYyFjACiElynjYAACAASURBVERXAy9eAO4GkNvmbP4iAH+wWstYwAggEl0NXLFm42RHAGOrpkEA/mC1lrGAEUAkuhoYAQQGAcwrtNjKY2C1lrGAEUAkuhp49QKYrAe5bc7mLwLwB6u1jAWMACLR1cBrF8Bm8gsEuW3O5i8C8AertYwFjAAi0dXAqxfA5JcActuczV8E4A9WaxkLGAFEoquBVy6Ah3+c+hJAbpuz+YsA/MFqLWMBI4BIdDXwugWw+zcEkAQB+IPVWsYCRgCR6GrgejWbn7lfueJm0kL7yG1zNn8RgD9YrWUsYAQQia4GXrUADv+CALpBAP5gtZaxgBFAJLoaeN0CmLjSLnLbnM1fBOAPVmsZCxgBRKKrgdcsgNM/IIBOEIA/WK1lLGAEEImuBl6xAM4/n/QSQG6bs/mLAPzBai1jASOASHQ18JoF0Pufo5Hb5mz+IgB/sFrLWMAIIBJdDbxeAXR/POUlgNw2Z/MXAfiD1VrGAkYAkehq4Gpk+8weEsDgheuR2+Zs/iIAf7Bay1jACCASXQ28AgH0XzX94YTV5LY5m78IwB+s1jIWMAKIRFcDr1cAVy9eidw2Z/MXAfiD1VrGAkYAkehq4LUKIP+ZfTm5bc7mLwLwB6u1jAWMACLR1cArFcDljxDAIQjAH6zWMhYwAohEVwOvVQC3rye3zdn8RQD+YLWWsYARQCS6GnidAug9KGRcTW6bs/mLAPzBai1jASOASHQ1cC3yZmMn2473WI0it83Z/EUA/mC1lrGAEUAkuhp4DQIwvuOLAHZBAP5gtZaxgBFAJLoaeI0CMHw0+ErktjmbvwjAH6zWMhYwAohEVwOvUgBDVzMtJrfN2fxFAP5gtZaxgBFAJLoaeIUCGP966KuR2+Zs/iIAf7Bay1jACCASXQ28RgEMX8+ymNw2Z/MXAfiD1VrGAkYAkehq4Erkh5F+qwDG/kTwWOS2OZu/CMAfrNYyFjACiERXA69QAMbrDUVum7P5iwD8wWotYwEjgEh0NfDqBHB1yCMABFACrNYyFjACiERXA69CAOa//mh5CSC3zdn8RQD+YLWWsYARQCS6Gnh1Ahi54vhactuczV8E4A9WaxkLGAFEoquBVyaAsaf4hpcActuczV8E4A9WaxkLGAFEoquB1yaA0WuOriW3zdn8RQD+YLWWsYARQCS6GnhdAhh/gj9+DbltzuYvAvAHq7WMBYwAItHVwCsTgOGqY1eQ2+Zs/iIAf7Bay1jACCASXQ1ch7wd6DcIwHKSz+h15LY5m78IwB+s1jIWMAKIRFcDr0kAtu/6QQCVU6TIXaHFVh4Dq7WMBYwAItHVwOsQwH72277tc0wTctuczV8E4A9WaxkLGAFEoquBVyQA65/8QgB1U6TIXaHFVh4Dq7WMBYwAItHVwGsSwITrXoncNmfzFwH4g9VaxgJGAJHoauD1CMD+V+QRQNUUKXJXaLGVx8BqLWMBI4BIdDXwagRgn/8jqpDb5mz+IgB/sFrLWMAIIBJdDbweAUy59rV/lNvmbP4iAH+wWstYwAggEl0NrCmAa1eW2+Zs/iIAf7Bay1jACCASXQ1chbwb0NNPA51w9Sv/JrfN2fxFAP5gtZaxgBFAJLoaeCUCuAUwELltzuYvAvAHq7WMBYwAItHVwJoCuPYSQG6bs/mLAPzBai1jASOASHQ1sKoAhg0gt83Z/EUA/mC1lrGAEUAkuhpYVABXXgLIbXM2fxGAP1itZSxgBBCJrgaWFcCgAeS2OZu/CMAfrNYyFjACiERXA6sKYNgActuczV8E4A9WaxkLGAFEoquBhQUwYAC5bc7mLwLwB6u1jAWMACLR1cCyAhh8CSC3zdn8RQD+YLWWsYARQCS6GrgGeT+ai5MHDCC3zdn8RQD+YLWWsYARQCS6GlhaAL0GkNvmbP4iAH+wWstYwAggEl0NLCyAAQPIbXM2f6sLgBBChrOJmlGbMNKCUr3kIpbbma7YymNgtecMFjCvACLR1cDKrwD6XwPIbXM2fxGAP1itZSxgBBCJrgbWFkDfG8Fy25zNXwTgD1ZrGQsYAUSiq4HFBdBjALltzuYvAvAHq7WMBYwAItHVwPoCyA0gt83Z/EUA/mC1lrGAEUAkuhpYXQCXBpDb5mz+IgB/sFrLWMAIIBJdDVyBfJjIUeTcAHLbnM1fBOAPVmsZCxgBRKKrgfUFkBtAbpuz+YsA/MFqLWMBI4BIdDVwAwJ4jgBCU6TIXaHFVh4Dq7WMBYwAItHVwC0IIDWA3DZn8xcB+IPVWsYCRgCR6GrgRgTQMYDcNmfzFwH4g9VaxgJGAJHoauAmBJAYQG6bs/mLAPzBai1jASOASHQ1cBsC6Bqgv+TN4B+QcQwCmFdosZXHwEyGSHI1MNsckhoC6Bigp+TNIaXvBAKYV2ixlcfATIZIcjUw2xySKgJ4PiyA4/AvbwAEMK/QYiuPgZkMkeRqYLY5IscxG00+ce+zH58Gf3EDIIB5hRZbeQzMZIgkVwOzzRGpJ4DDK4/79IedqV/aAAhgXqHFVh4DMxkiydXAbHNEagngON7PJV8e+C9sAAQwr9BiK4+BmQyR5Gpgtjki1QRwGO/Hknvf9y1rAAQwr9BiK4+BmQyR5Gpgtjki9QSwH+/7kofO+ilqAAQwr9BiK4+BmQyR5GpgtjkiFQXw/CiAKyd9ljQAAphXaLGVx8BMhkhyNTDbHJGaAtjC70fO+S9oAAQwr9BiK4+BmQyR5GpgtjkilQUw/pGvcgZAAPMKLbbyGJjJEEmuBmabI1JVAKavfCj2oWAEMK/QYiuPgZkMkeRqYLY5IOdP5EaTj9xxcCkDIIB5hRZbeQzMZIgkVwOzzQFZgwBKHQZCAPMKLbbyGJjJEEmuBmabA7IOAZQxAAKYV2ixlcfATIZIcjUw2xyQlQigiAEQwLxCi608BmYyRJKrgdnmgKxFACUMgADmFVps5TEwkyGSXA3MNgdkNQIoYAAEMK/QYiuPgZkMkeRqYLY5IOsRgL8BEMC8QoutPAZmMkSSq4HZ5oCsSADuBkAA8wottvIYmMkQSa4GZpsDsiYBeBsAAcwrtNjKY2AmQyS5GphtLp/OH2cPJp+4U8C+BkAA8wottvIYmMkQSa4GZpvLZ2UC8DUAAphXaLGVx8BMhkhyNTDbXD5rE8BzBDA1RYrcFVps5TEwkyGSXA3MNpfP6gTgaQAEMK/QYiuPgZkMkeRqYLa5fNYnAEcDIIB5hRZbeQzMZIgkVwOzzeWzQgE8RwCTUqTIXaHFVh4DMxkiydXAbHP5rFIAXgZAAPMKLbbyGJjJEEmuBmaby2eNAnAzAAKYV2ixlcfATIZIcjUw21w+qxSAlwEQwLxCi608BmYyRJKrgdnm4ulM0jUJwOltAAQwr9BiK4+BmQyR5Gpgtrl4VisAFwMggHmFFlt5DMxkiCRXA7PNxbNWAfgYAAHMK7TYymNgJkMkuRqYbS6e1QrA5SAQAphXaLGVx8BMhkhyNTDbXDwrFoCDARDAvEKLrTwGZjJEkquB2ebiWa8APAyAAOYVWmzlMTCTIZJcDcw2F8+KBeBgAAQwr9BiK4+BmQyR5Gpgtrl41iyA+W8DIIB5hRZbeQzMZIgkVwOzzcWzbgHMNQACmFdosZXHwEyGSHI1MNtcOt0Ruj4BzDYAAphXaLGVx8BMhkhyNTDbXDorF8Dcg0AIYF6hxVYeAzMZIsnVwGxz6axeAPMMgADmFVps5TEwkyGSXA3MNpfO2gUw0wAIYF6hxVYeAzMZIsnVwGxz6axeAPMOAiGAeYUWW3kMzGSIJFcDs82lIyCAOQZAAPMKLbbyGJjJEEmuBmabS2f9AphlAAQwr9BiK4+BmQyR5Gpgtrl0BAQwxwAIYF6hxVYeAzMZIsnVwGxz6SgIYMbbAAhgXqHFVh4DMxkiydXAbHPhJE+e1yuAmw2AAOYVWmzlMTCTIZJcDdzcNm+2CeV1LqxWALcbAAHMK7TYymPg5iYDAghG18FuDonjdS6sVwA3HwRCAPMKLbbyGLi5yYAAgtF1sJuHYRHpABkB3PhwIYB5hRZbeQzc3GRAAMHoOtitAJ6fXghE8DoXViyAWw2AAOYVWmzlMXBzkwEBBKPrYA8CeB7lABkB3GgABDCv0GIrj4GbmwwIIBhdB3sWwPMQB+gI4La3ARDAvEKLrTwGbm4yIIBgdB1sIoDn5R2gJIBbHiUEMK/QYiuPgZubDAggGF2F+jDELmou6gAhAdxkAAQwr9BiK4+BW5sMzxFAMLoKtU8Azwt+OiBddeUCuOUgEAKYV2ixlcfArU2G5wggGF2FOiCA5w5//daw6uoFMP0xQgDzCi228hi4tcnwHAEEo6tQEcCsTH+QEMC8QoutPAZubTI8RwDB6CrUawIoYQAxAUw/CIQA5hVabOUxcGuT4TkCCEZXoQ4LoMxLADkBTH2QEMC8QoutPAZubTI8RwDB6BrQ7fxCAHMy9VFCAPMKLbbyGLixybADI4BIdA3odQEUMICcAKYeBEIA8wottvIYuLHJsAMjgEh0Deg1ARR5CSAogGmPEgKYV2ixlcfAjU2GHRgBRKJrQBHA/CCAyxQpcldosZXHwI1Nhh0YAUSia0BHBOBugGxFDQFMepQQwLxCi608Bm5sMuzACCASXQN6VQAFXgIoCmDaw4QA5hVabOUxcGOTYQdGAJHoCszd6EIAc4MA8hQpcldosZXHwG1Nhj0YAUSiKzARgEumPE4IYF6hxVYeA7c1GfZgBBCJrsAcFYC3ATQFMMUACGBeocVWHgO3NRn2YAQQia7AHBGA/0sAUQFMOAiEAOYVWmzlMXBbk2EPRgCR6ApMBOAU+wOFAOYVWmzlMXBbk2EPRgCR6ArMcQE4G0BVAHYDIIB5hRZbeQzc1mTYgxFAJDoeuZ9a12pGANYggG6KFLkrtNjKY+CmJsMBjAAi0fHIcAHkyykJwPhIIYB5hRZbeQzc1GQ4gBFAJDoeaRGAqwGEBWB9CYAA5hVabOUxcFOT4QBGAJHoeOS4AJxfAkgLwPZIIYB5hRZbeQzc1GQ4gBFAJDoeiQA8Y3uoEMC8QoutPAZuajIcwAggEh2PNAnA0wDSArAdBEIA8wottvIYuKnJcAAjgEh0OPEwjq/XjADMMT1UCGBeocVWHgO3NBmOYAQQiQ4nIgDnWB4rBDCv0GIrj4FbmgxHMAKIRIcTjQJwNIC4ACwHgRDAvEKLrTwGbmkyHMEIIBIdTjQJwPUlgLwAxh8rBDCv0GIrj4FbmgxHMAKIRIcTwwVwsZSaAAwPFgKYV2ixlcfALU2GIxgBRKLDiVYBuBlAXwDjB4EQwLxCi608Bm5pMhzBCCASHQ08juOxmhHAhIw+WIsWwOdvfPf4H3e7fPvX20tfvPX47u6Hb+//afgCAiiErgZGAJHoaCACKJGxR2vRAnh6dxDAJ487AjjYYC+D4QsIoBS6GhgBRKKjgQigSNYrgC+e3h0F8MHxP/ZaePXt+0/fvHv1vasXEEApdDUwAohERwPtAvAyQBsCuP5oLVcA//STu5MAnt79+PTzTx4fXge88otrFxBAMXQ1MAKIREcDrQLwewnQhABGXgIsVgDv3t396B8PAvjizc5If/fww3e3Uhi+gACKoauBEUAkOhqIAMrk+sO1XAF85z+cjvx8/sar/+nh9cCf7N7dfXr3Z7sf7v5x+AICKIauBkYAkeho4AQBOBmgDQFcN8BiBdCd5Mf3gLcD/vRq4JPHr743fGG/wO8fciOfEBKUjX1KTLhqwDLLT/U65wrgg7u7H713/1/funuY8AiAEMEggGKpXuhcARwP7m/fC+6M+W//evhCulCRlzm7lzrFVh4DN3Rs4ATmEFAkOph3OlAxXrPTMaDLVTQPAV09CLSKQ0Dny9ee9Pe8AkAAJdDVwAggEh3MmyAAp7eB2xHAlQdsVQLInucjgDroamAEEIkO5iGAghl+zbQyATxMds4C2oHbmQxnMAKIRAfzpgnAwwANCWD4EVuDAL54szvZj2f5H079H7qAAIqhq4ERQCQ6FnceUJaaEcDUDBlgDQI4fifQXgR8EngHbmYydMAIIBIdi0MAhTNggFUI4JPH29NAP/3J7kt+HjTwndM3/gxfQADF0NXACCASHYubKgAHA7QlgIHHbBUC2H4vxO5rPncfBf60+52fwxcQQCl0NTACiETH4qYJwOMlQM8S0gLoN8A6BHD/6Z/e3b3yo8MT+0/fepjyPxy9gAAKoauBEUAkOhaHAMqnzwCLFoBbihS5K7TYymPgZiZDB4wAItGxuMkCmG2A9gTQ96ghgHmFFlt5DNzMZOiAEUAkOpTWmUy2mhHALbk0AAKYV2ixlcfArUyGLhgBRKJDaQggJhcGQADzCi228hi4lcnQBSOASHQoDQEEJTcAAphXaLGVx8CtTIYuGAFEokNpNwhgrgHaFED+wCGAeYUWW3kM3Mpk6IIRQCQ6lDZZAPNfAjQqgMwACGBeocVWHgO3Mhm6YAQQiQ6lIYC4JAZAAPMKLbbyGLiVydAFI4BIdCQsGUlWAcwzQNynosYTvM3dhw4BzCu02Mpj4EYmQwJGAJHoSNgNApj7EqBhAXQNgADmFVps5TFwI5MhASOASHQkDAHE5mwABDCv0GIrj4EbmQwJGAFEoiNhtwlglgGaFsD5wUMA8wottvIYuJHJkIARQCQ6EnaLAGa+BGhbACcDIIB5hRZbeQzcyGRIwAggEh0JQwDhORgAAcwrtNjKY+BGJkMCRgCR6EBWema6XQBzDNC6AA4P3/3FD3eZuXY2fxGAP7iNyZCCEUAkOpB1mwDmvQRoXgB7A9yf/jvJzKWz+YsA/MFtTIYUjAAi0YEsBFAFm099l7+ztks2fxGAP7iNyZCCEUAkOpB1swBuH1iBfx9xPLW22X3wH5PNXwTgD25jMqRgBBCJDmTdKIA5LwEQwAFdZtU0CMAfrNYyFjACiEQHshBAJTACmFtosZXHwGotYwEjgEh0HCr7guIpArjZAAjggC6zahoE4A9WaxkLGAFEouNQNwtgxksABHBAl1k1DQLwB6u1jAWMACLRcSgEoLbN2fxFAP5gtZaxgBFAJDoOhQDUtjmbvwjAH6zWMhYwAohEx6HmCOBWAyCAA7rMqmkQgD9YrWUsYAQQiY5D3S6A218CIIADusyqaRCAP1itZSxgBBCJjkNVEED/7RCA16ppEIA/WK1lLGAEEIkOI2XDeKIAbjMAAjiiy6yaBgH4g9VaxgJGAJHoMNIcAdz6EgABHNFlVk2DAPzBai1jASOASHQYCQHIbXM2fxGAP1itZSxgBBCJDiPNFMBNBkAAR3SZVdMgAH+wWstYwAggEh1GmiWAG18CIIAjusyqaRCAP1itZSxgBBCJDiMhALltzuYvAvAHq7WMBYwAItFRoHwWI4BQdJlV0yAAf7Bay1jACCASHQWaKYDbDIAAjugyq6ZBAP5gtZaxgBFAJDoKNFcAtxhg4CYIwGvVNAjAH6zWMhYwAohER4FmC+A5ApiBLrNqGgTgD1ZrGQsYAUSio0AOAphsAARwQpdZNQ0C8AertYwFjAAi0VGg+QKYbgAEcEKXWTUNAvAHq7WMBYwAItFBnItZfEvNCOBmdJlV0yAAf7Bay1jACCASHcTxEcBEAyCAE7rMqmkQgD9YrWUsYAQQiQ7iuAhgqgEQwAldZtU0CMAfrNYyFjACiEQHcXwEMPEgEAI4ocusmgYB+IPVWsYCRgCR6CCOlwAmGQABnNBlVk2DAPzBai1jASOASHQQx0kAk14CDNkCAXitmgYB+IPVWsYCRgCR6BjM5Sy+VQATDIAAzugyq6ZBAP5gtZaxgBFAJDoG4yaAKQZAAGd0mVXTIAB/sFrLWMAIIBIdg/ETwISDQAjgjC6zahoE4A9WaxkLGAFEomMwngIwGwABnNFlVk2DAPzBai1jASOASHQMxlEAdgMggDO6zKppEIA/WK1lLGAEEImOwXgKwHwQCAGc0WVWTYMA/MFqLWMBI4BIdAilZxTPEYDRAAjgjC6zahoE4A9WaxkLGAFEokMovgKwGgABnNFlVk2DAPzBai1jASOASHQIxVkAtoNAg5pAAF6rpkEA/mC1lrGAEUAkOoTiLgCLARBAB11m1TQIwB+s1jIWMAKIRIdQvAVgMgAC6KDLrJoGAfiD1VrGAkYAkegQirsALAeBEEAHXWbVNAjAH6zWMhYwAohER0D6RvFcAYwbAAF00GVWTYMA/MFqLWMBI4BIdASkgAAMBkAAHXSZVdMgAH+wWstYwAggEh0BKSGA8YNACKCDLrNqGgTgD1ZrGQsYAUSiIyBlBDBmAATQQZdZNQ0C8AertYwFjAAi0RGQIgIYfQmAADroMqumQQD+YLWWsYARQCQ6AlJIANcNMPzPCMBr1TQIwB+s1jIWMAKIREdAyghgxAAIoIsus2oaBOAPVmsZCxgBRKIDGL2j2KNmBGBGl1k1DQLwB6u1jAWMACLRAYxyArhmAATQRZdZNQ0C8AertYwFjAAi0QGMYgK4agAE0EWXWTUNAvAHq7WMBYwAItEBjHICuHYQCAF00WVWTYMA/MFqLWMBI4BIdACjpACGDYAAuugyq6ZBAP5gtZaxgBFAJDqAUVAAV8Y8Auiiy6yaBgH4g9VaxgJGAJHo8oj+SexV82YzMOkRQBddZtU0CMAfrNYyFjACiESXR5QXQB/hysEhBOC1ahoE4A9WaxkLGAFEossjygrg+YADEECCLrNqGgTgD1ZrGQsYAUSiyyOKC+CogE36o8FrIwCvVdMgAH+wWstYwAggEl0eESCA55cvAxBAgi6zahoE4A9WaxkLGAFEossjYgTwPHMAAkjQZVZNgwD8wWotYwEjgEh0ccLAJC5Sc+dQEAJI0GVWTYMA/MFqLWMBI4BIdHFCpACen18GIIAEXWbVNAjAH6zWMhYwAohEFycEC+B571vCKboY+XrktjmbvwjAH6zWMhYwAohEFyfEC+DKp8P26ILka5Hb5mz+IgB/sFrLWMAIIBJdnFBDANeDALxWTYMA/MFqLWMBI4BIdHECAjhx1UrO5i8C8AertYwFjAAi0aUBQ8dilGse4qqVnM1fBOAPVmsZCxgBRKJLAxDAmatWcjZ/EYA/WK1lLGAEEIkuDUAAZ65aydn8RQD+YLWWsYARQCS6NAABnLlqJWfzFwH4g9VaxgJGAJHo0gAEcOaqlZzNXwTgD1ZrGQsYAUSiSwMQwJmrVnI2fxGAP1itZSxgBBCJLrz+4AeyhGse5KqVnM1fBOAPVmsZCxgBRKILr48AOly1krP5iwD8wWotYwEjgEh04fURQIerVnI2fxGAP1itZSxgBBCJLrw+Auhw1UrO5i8C8AertYwFjAAi0YXXRwAdrlrJ2fxFAP5gtZaxgBFAJLrw+gigw1UrOZu/CMAfrNYyFjACiESXXX74W5l1ax7mqpWczV8E4A9WaxkLGAFEossujwC6XLWSs/mLAPzBai1jASOASHTZ5RFAl6tWcjZ/qwuAELKobBgK7aR3r1/8wz90LvyXv/6P75S7A0UstzNdsZXHwGrPGSxgXgFEossuzyuALlet5HEBfPi97V/n/MavDhc/e23ze3+LACaA1VrGAkYAkeiyyyOALlet5FEBvL/Z56V/hQBuA6u1jAWMACLRRVe/8qfZZWu+wlUreUwAHz7abF7+93/9s4f/+yYCuAms1jIWMAKIRBddHQEkXLWSxwTwZLP58vaQ/0c/3Wy+hQBuAau1jAWMACLRRVdHAAlXreQRAbx4mPuvJ/+FAKaC1VrGAkYAkeiSi28QQMJVK3lEAJ1x/9n3Ni/9HAFMB6u1jAWMACLRJRe/Mv9la77GVSvZLoDDfyOAqWC1lrGAEUAkuuTiCCDlqpU8IoAXP9097d/n/e37AQhgKlitZSxgBBCJLrj2tSNAqjVf5aqVPCKA7ZvA3zpdeLbZfAUBTAWrtYwFjAAi0QXXvjb/VWu+ylUreUwAD8/6zy8Btjr4g0cIYBpYrWUsYAQQiS64NgLIuGoljwlgO/M7E/+Xm+QiAjCA1VrGAkYAkehyS189AiRa83WuWsmjAnjxy2Ti/+dHCGAiWK1lLGAEEIkut/TV+S9a83WuWsmjAri///iv/vvOxP/4lwhgGlitZSxgBBCJLrc0Asi5aiUbBBCaIkXuCi228hhYrWUsYAQQiS628vUjQJo1j3DVSs7mLwLwB6u1jAWMACLRxVa+Pv81ax7hqpWczd8RAWz/GECx2b9LkSJ3hRZbeQys1jIWMAKIRBdbGQFccNVKzubvoAA++t/e2X0bxGbz8s+HroMAesFqLWMBI4BIdKmFR44ASdY8xlUr2SiAZ7t3fp9sSp8FigBc0dXACCASXWrhkfkvWfMYV61kmwDe3439Dx9tvvzOR691PhqMAAxgtZaxgBFAJLrUwgjgkqtWsk0AT3Z/FOD93YeC39//gQAEYAWrtYwFjAAi0YXWHTsCpFjzKFetZJMAXvx093UQew189hqfA5gEVmsZCxgBRKILrTs2/xVrHuWqlWwSwH7mf/ba5iv3CGAyWK1lLGAEEIkutC4C6OGqlTxBAB8+OvxJMAQwCazWMhYwAohEF1oXAfRw1Uo2CWB/COjZ/ntBeQ9gIlitZSxgBBCJLrPs6FsAgjWPc9VKNgng/snmK9vTf7aTn7OApoLVWsYCRgCR6DLLjs5/wZrHuWol2wTw/u4DAJvX71/8LPn7AAjAAFZrGQsYAUSiyyyLAPq4aiXbBLD9W2Cb7VvAn722een1gvMfAbiiq4ERQCS6yKrjR4D0ajZw1Uo2CuD+oz//w794+L/P/vk3flVy/iMAV3Q1MAKIRBdZdXz+69Vs4KqVbBVAVIoUuSu02MpjYLWWsYARQCS6yKoIoJerVnI2f68K4MXvCk7+Q4oUuSu02MpjYLWWsYARQCS6xKKGI0ByNVu4evYyfwAAIABJREFUaiVn83dYAL/5/vb7gD77539c8BxQBOCMrgZGAJHoEosa5r9czRauWslGAbw4/DX4z17bvFzyy0ARgCu6GhgBRKJLLIoA+rlqJRsF8GSzefl/fPR7f/vif90U/RwYAnBFVwMjgEh0gTUtR4DUajZx1Uq2CeD9zeYHh++A+Pv9F0IgADNYrWUsYAQQiS6wpmX+q9Vs4qqVbBPAk+2nfw9fAvRs95VwCMAMVmsZCxgBRKILrIkABrhqJZsEsP8uoIMAPnzEl8FNAqu1jAWMACLR/kuajgCJ1WzjqpVsEsDx66B3k59vA50IVmsZCxgBRKL9lzTNf7GabVy1khFA6ci1jAWMACLR/ksigCGuWskmAbz46faN38Pk5+ugJ4LVWsYCRgCRaPcVbUeAtGo2ctVKNglg/8bvXgAPMuBN4ElgtZaxgBFAJNp9Rdv816rZyFUr2SaADx9tvvnOTgAffY+vg54IVmsZCxgBRKLdV0QAg1y1km0C2H0d9NcevfQHX334/5J/DwYBuKKrgRFAJNp7QeMRIKmarVy1ko0CuP/PjzaHFJ3/CMAVXQ2MACLR3gsa579UzVauWslWAdx//Fdfe5j+Xyr85wAQgCu6GhgBRKK9F0QAw1y1ks0CCEqRIneFFlt5DKzWMhYwAohEO69nPQKkVLOZq1ZyNn8RgD9YrWUsYAQQiXZezzr/lWo2c9VKzuZvLoAXf/4vL/OHfA5gClitZSxgBBCJdl4PAVzhqpU8IoDPXttchk8CTwKrtYwFjAAi0b7LmY8ACdVs56qVjABKR65lLGAEEIn2Xc48/4VqtnPVSh4RQHiKFLkrtNjKY2C1lrGAEUAk2nc5BHCNq1ZyNn8RgD9YrWUsYAQQiXZdzX4ESKfmCVy1krP5iwD8wWotYwEjgEi062r2+a9T8wSuWsnZ/OUsIH+wWstYwAggEu26GgK4ylUreUQAvAk8H6zWMhYwAohEey424QiQTM1TuGolI4DSkWsZCxgBRKI9F5sw/2VqnsJVK3lEAOEpUuSu0GIrj4HVWsYCRgCRaM/FEMB1rlrJ2fxFAP5gtZaxgBFAJNpxrSlHgFRqnsRVKzmbvwjAH6zWMhYwAohEO641Zf6r1DyJq1ZyNn8HBPDxP3TzOwQwBazWMhYwAohEO66FAEa4aiWbBJC9FcybwJPAai1jASOASLTjWghghKtWMgIoHbmWsYARQCTab6lJbwGI1DyNq1aySQAv/stfH/Lvvrd56d//Rz4INgWs1jIWMAKIRPstNWn+i9Q8jatWskkA3Xz46MsF5z8CcEVXAyOASLTfUghgjKtWcjZ/DWcBPSv6Z+GLFLkrtNjKY2C1lrGAEUAk2m2laUeANGqeyFUrOZu/BgGUfQlQpMhdocVWHgOrtYwFjAAi0W4rTZv/GjVP5KqVnM1fgwA+e403gSeB1VrGAkYAkWi3lRDAKFet5Gz+ml4BIIBJYLWWsYARQCTaa6GJR4Akap7KVSs5m7/jAnjxZMMhoElgtZaxgBFAJNproYnzX6LmqVy1krP5O3Aa6PmvAvwPjza8CTwNrNYyFjACiER7LYQAxrlqJZsEkH4QjNNAp4HVWsYCRgCRaKd1ph4BUqh5Mlet5MkC+NIfl5z/CMAVXQ2MACLRTutMnf8KNU/mqpVsEkBgihS5K7TYymNgtZaxgBFAJNppHQRg4KqVnM1fBOAPVmsZCxgBRKJ9lpl8BEig5ulctZKz+YsA/MFqLWMBI4BItM8yk+e/QM3TuWolZ/N3SAAvfvvXf/3X/1D06P8+RYrcFVps5TGwWstYwAggEu2zDAKwcNVKzuZvrwA++tmjwzvAL/1xyT8GgwC80dXACCAS7bLK9CNA66/5Bq5ayeMCePHL5I8B/LOyLwOKFLkrtNjKY2C1lrGAEUAk2mORG+b/6mu+hatW8qgAXvx0d/Ln8UNghT8GgABc0dXACCAS7bDGLfN/7TXfxFUreVQATx5a4xvHAz8f/ezh0lcQwCSwWstYwAggEj1/iZvm/8prvo2rVvKYAD7Mvvrh2Wbz0s8RwBSwWstYwAggEj17hdvm/7prvpGrVvKYAJ7kz/if8F1AE8FqLWMBI4BI9NwFbpz/q675Vq5aySMC2L4D8Hryk/fLvgtQpMhdocVWHgOrtYwFjAAi0TNvf+v8X3PNN3PVSh4RwGev5Ud8PnyEAKaB1VrGAkYAkeh5N795/q+45tu5aiWPCyD78y+XP0EA18FqLWMBI4BI9Kxb3z7/11vzDK5ayQigdORaxgJGAJHoOTeeMf9XW/McrlrJCKB05FrGAkYAkegZt50z/9da8yyuWskIoHTkWsYCRgCR6NtvOmv+r7TmeVy1khFA6ci1jAWMACLRt9901vxfac3zuGolI4DSkWsZCxgBRKJvvuW8+b/Ommdy1UoeF8BlEMAksFrLWMAIIBJ96w3nHQBaZ81zuWolI4DSkWsZCxgBRKJvvN3c+b/Gmmdz1UoeEcCLP/+Xl/lDPgg2BazWMhYwAohE33az2fN/hTXP56qVPCKA8BQpcldosZXHwGotYwEjgEj0TbeaP//XV7MDV63kbP4iAH+wWstYwAggEn3LjRzm/+pq9uCqlZzNXwTgD1ZrGQsYAUSib7iNx/xfW80uXLWSs/mLAPzBai1jASOASPT0m7jM/5XV7MNVKzmbvwjAH6zWMhYwAohET76Fz/xfV81OXLWSs/l7qwA+f+O7h//64q3Hd3c/fHvSBQRQCF0NjAAi0VNv4DT/V1WzF1etZCcBPL377tEEd9t8+9cTLiCAUuhqYAQQiZ54fa/5v6aa3bhqJbsI4Iund0cBPL179e37T9+8e/U9+wUEUApdDYwAItHTru42/1dUsx9XrWQPAfzTT+6OAvjk8e5J/edvvPIL8wUEUAxdDYwAItGTru03/9dTsyNXrWQHAbx7d/ejfzwI4N3T///YfAEBFENXAyOASPSE624c5/9aanblqpXsIYDv/If7Dw4T/endn+3+f3fZeAEBFENXAyOASLT9qq7zfyU1+3LVSnYQQGeSf/Hm4ZjOJ49ffc94Yb/A7x9yI58QMpqH8V/7LpBFBwEQIpoN85+MxE8A3/618UK6UJGXObuXOsVWHgOrvWi0gNd+CGj6kZLlb7Pv4Z8dePE1+3PVSi4mgImvABBACXQ1MAIIjI3sPv5XUHMBrlrJCKB05FrGAhYQwMRxufBt9n/6/3zxNRfhqpXsKwDOAuoBq7WMBbxyAWzUBFBk/i+85jJctZKdBXA8sf9wtr/pAgIohq4GXr0AJv+99EVvc5Hxv/CaC3HVSnYWAJ8EvgSrtYwFvG4BbHYCmDYzl7zNheb/omsuxVUr2VkAX7x5953Tl/wYLyCAYuhq4LUL4Pg/E8CL3eYyh3924MXWXI6rVrKzAO4/7X7Np/ECAiiFrgaWEMCksbnYbS43/5dbc0GuWsneArj/9K2Hwf7D9yZdQACF0NXAqxbAYWJqCKDc+F9uzSW5aiU7CcAtRYrcFVps5TGwWstYwCsXQPf/rOBFbnPBp//Pl1pzWa5aydn8RQD+YLWWsYA1BDBldi5ym8vO/2XWXJirVnI2fxGAP1itZSzgNQvgNDRXL4Cy43+ZNZfmqpWczV8E4A9WaxkLeN0COP3HhPm5vG0u/PT/+RJrLs9VKzmbvwjAH6zWMhawhAAmvQRY3DaXn//LqzmAq1ZyNn8RgD9YrWUs4BULYNMVgH2ELm2by4//5dUcwVUrOZu/CMAfrNYyFvCqBdD/32PgZW1zxPxfWs0hXLWSs/mLAPzBai1jAa9XABsVAUSAl1VzCFet5Gz+IgB/sFrLWMBrFkBywTxHl7XNIfN/YTXHcNVKzuYvAvAHq7WMBSwigAmDdFHbHHIAaGE1B3HVSs7mLwLwB6u1jAW8WgFscgFYJ+mStjlo/i+q5iiuWsnZ/EUA/mC1lrGAVyyA65eHwcvZ5qj5v6Saw7hqJWfzFwH4g9VaxgIWEoBxmC5om6Pm/5JqDuOqlZzNXwTgD1ZrGQt4rQK4nPfrE0DY/F9QzXFctZKz+YsA/MFqLWMBr1cA4z8ZAC9lm8MOAC2o5kCuWsnZ/EUA/mC1lrGAVyqAnuFpnadTS94MZNoqe3S27g1L3JYGW1uu5Gz+IgB/sFrLWMCrFYDtZ33gSeSh8X/T+O6SI+d/i60tV3I2fxGAP1itZSxgKQGYRuqkkq8M+hsGeCqAyTe/PQ22tlzJ2fxFAP5gtZaxgNcpgP6x7C6A68/zp4/wDjl0/rfY2nIlZ/MXAfiD1VrGAl6rAOw/vQCbyWPHeWYIIPQAUJOtLVdyNn8RgD9YrWUsYC0BWKaqteTxw/yTh/iJHDz/W2xtuZKz+YsA/MFqLWMBr1IAQ/PTUQCmt3mnjvEjOXr+t9jaciVn8xcB+IPVWsYCXqkAhn5uGKymko1n+dwsgGm3m50GW1uu5Gz+IgB/sFrLWMBSAjBMVuMze+OInjjJ72+6lUMabG25krP5iwD8wWotYwGvUQDXTs0cPWxvOIl/wkn+02b5/XH5KTfySIOtLVdyNn8RgD9YrWUs4HUK4JZ/2v/zZlvyVQdM+4zXdAFUmP8ttrZcydn8RQD+YLWWsYBXKIBrE3T0qf2x5CEHTP2M76Qr3z+vM/9bbG25krP5iwD8wWotYwGvUgDX/m30H08l9zlg+lc8TLn+/cTru6XB1pYrOZu/CMAfrNYyFrCYAK4fHtr9W7fkzAE3fcPPNAFUmf8ttrZcydn8RQD+YLWWsYDXJ4DrQ3r8DeKs5I4DbvuGtwm3ua9zAKjJ1pYrOZu/CMAfrNYyFvAaBXDTP59G72XJs77iedLfo680/1tsbbmSs/mLAPzBai1jAQsKYORrInpLnjH/JxwEqjX/W2xtuZKz+YsA/MFqLWMBr04At31DT+dW/iUX+tSAYxpsbbmSs/mLAPzBai1jAa9QADdcoWuNAiWX+dywYxpsbbmSs/mLAPzBai1jASsK4PpfiyxRsmmyVzsA1GRry5WczV8E4A9WaxkLeG0CuOk7OpOfFBGAYbQ/3PMGtxkBuK2aBgH4g9VaxgJenwAMV7n4dFcCLlGy7fvlGtxmBOC2ahoE4A9WaxkLeGUCMB1Gya6ziRCA4UvomtxmBOC2ahoE4A9WaxkLeHUCmHyl3BllSjZ8CVGT24wA3FZNgwD8wWotYwFrCmAzcGEHLlOy5ePJDW4zAnBbNQ0C8AertYwFvC4BGE+kSb/eJwcXEsDgPTt/xKzBbUYAbqumQQD+YLWWsYDXJgDj1TYX/3UGFyr5yndQnD6EXIY8ngZbW67kbP4iAH+wWstYwJICOF2v7xVDsZKH/lB95zNohcijabC15UrO5i8C8AertYwFvCoBmD9Kdbhi7/XLCWDkOyia3GYE4LZqGgTgD1ZrGQt4ZQKYdM1+X5QrufcjyMln0EqRx9Jga8uVnM1fBOAPVmsZC3hNApjwXQrbaw5cvWDJOS//htEGtxkBuK2aBgH4g9VaxgJelwAmXHXw651LCuDqJ9Ca3GYE4LZqGgTgD1ZrGQtYVABX/rpXyZITZs8ZqOXI19Nga8uVnM1fBOAPVmsZC3hFApj0bZrDVy5a8vW/L9zgNiMAt1XTIAB/sFrLWMCrEoAPuKgAOh9A6DkDtSD5ahpsbbmSs/mLAPzBai1jASMA35z/vnwfuiT5WhpsbbmSs/mLAPzBai1jAa9HAF5/T6VwycMfQGhymxGA26ppEIA/WK1lLOA1CcAJXFgAm+E3oBvcZgTgtmoaBOAPVmsZCxgBeGf4BNQWtxkBuK2aBgH4g9VaxgJejQDc/qJu8ZKH72iD24wA3FZNgwD8wWotYwGvSABeYLY5FF2Lq1ZyNn8RgD9YrWUs4LUIwO0FANscjK7FVSs5m78IwB+s1jIW8HoE4AZmm0PRtbhqJWfzFwH4g9VaxgJGAIFpcJsRgNuqaRCAP1itZSzglQjA7wgQ2xyMrsVVKzmbvwjAH6zWMhbwagTgB2abQ9G1uGolZ/MXAfiD1VrGAkYAgWlwmxGA26ppEIA/WK1lLGAEEJgGtxkBuK2aBgH4g9VaxgJGAIFpcJsRgNuqaRCAP1itZSxgBBCYBrcZAbitmgYB+IPVWsYCRgCBaXCbEYDbqmkQgD9YrWUs4HUIwHH+s83B6FpctZKz+YsA/MFqLWMBI4DANLjNCMBt1TQIwB+s1jIWMAIITIPbjADcVk2DAPzBai1jASOAwDS4zQjAbdU0CMAfrNYyFjACCEyD24wA3FZNgwD8wWotYwEjgMA0uM0IwG3VNAjAH6zWMhYwAghMg9uMANxWTYMA/MFqLWMBr0IAnvOfbQ5G1+KqlZzNXwTgD1ZrGQsYAQSmwW1GAG6rpkEA/mC1lrGAEUBgGtxmBOC2ahoE4A9WaxkLGAEEpsFtRgBuq6ZBAP5gtZaxgBFAYBrcZgTgtmoaBOAPVmsZCxgBBKbBbUYAbqumQQD+YLWWsYARQGAa3GYE4LZqGgTgD1ZrGQt4DQJwnf9sczC6Flet5Gz+IgB/sFrLWMAIIDANbjMCcFs1DQLwB6u1jAWMAALT4DYjALdV0yAAf7Bay1jACCAwDW4zAnBbNQ0C8AertYwFjAAC0+A2IwC3VdMgAH+wWstYwAggMA1uMwJwWzUNAvAHq7WMBYwAAtPgNiMAt1XTIAB/sFrLWMArEIDv/Gebg9G1uGolZ/MXAfiD1VrGAkYAgWlwmxGA26ppEIA/WK1lLGAEEJgGtxkBuK2aBgH4g9VaxgJGAIFpcJsRgNuqaRCAP1itZSxgBBCYBrcZAbitmgYB+IPVWsYCRgCBaXCbEYDbqmkQgD9YrWUs4OULwHn+s83B6FpctZKz+YsA/MFqLWMBI4DANLjNCMBt1TQIwB+s1jIWMAIITIPbjADcVk2DAPzBai1jASOAwDS4zQjAbdU01QVASEg2tDohear/VhSx3M50xVYeA6s9Z7CAeQUQmAa3mVcAbqumQQD+YLWWsYARQGAa3GYE4LZqGgTgD1ZrGQt48QLwnv9sczC6Flet5Gz+IgB/sFrLWMAIIDANbjMCcFs1DQLwB6u1jAWMAALT4DYjALdV0yAAf7Bay1jACCAwDW4zAnBbNQ0C8AertYwFjAAC0+A2IwC3VdMgAH+wWstYwAggMA1uMwJwWzUNAvAHq7WMBYwAAtPgNiMAt1XTIAB/sFrLWMBLF4D7/Gebg9G1uGolZ/MXAfiD1VrGAkYAgWlwmxGA26ppEIA/WK1lLGAEEJgGtxkBuK2aBgH4g9VaxgJGAIFpcJsRgNuqaRCAP1itZSxgBBCYBrcZAbitmgYB+IPVWsYCRgCBaXCbEYDbqmkQgD9YrWUsYAQQmAa3GQG4rZoGAfiD1VrGAl64APznP9scjK7FVSs5m78IwB+s1jIWMAIITIPbjADcVk2DAPzBai1jASOAwDS4zQjAbdU0CMAfrNYyFjACCEyD24wA3FZNgwD8wWotYwEjgMA0uM0IwG3VNAjAH6zWMhYwAghMg9uMANxWTYMA/MFqLWMBI4DANLjNCMBt1TQIwB+s1jIW8LIFUGD+s83B6FpctZKz+YsA/MFqLWMBI4DANLjNCMBt1TQIwB+s1jIWMAIITIPbjADcVk2DAPzBai1jASOAwDS4zQjAbdU0CMAfrNYyFjACCEyD24wA3FZNgwD8wWotYwEjgMA0uM0IwG3VNAjAH6zWMhbwogVQYv6zzcHoWly1krP5iwD8wWotYwEjgMA0uM0IwG3VNAjAH6zWMhYwAghMg9uMANxWTYMA/MFqLWMBI4DANLjNCMBt1TQIwB+s1jIWMAIITIPbjADcVk2DAPzBai1jASOAwDS4zQjAbdU0CMAfrNYyFjACCEyD24wA3FZNgwD8wWotYwEvWQBF5j/bHIyuxVUrOZu/CMAfrNYyFjACCEyD24wA3FZNgwD8wWotYwEjgMA0uM0IwG3VNAjAH6zWMhYwAghMg9uMANxWTYMA/MFqLWMBI4DANLjNCMBt1TQIwB+s1jIWMAIITIPbjADcVk2DAPzBai1jASOAwDS4zQjAbdU0CMAfrNYyFvCCBVBm/rPNwehaXLWSs/mLAPzBai1jASOAwDS4zQjAbdU0CMAfrNYyFjACCEyD24wA3FZNgwD8wWotYwEjgMA0uM0IwG3VNAjAH6zWMhYwAghMg9uMANxWTYMA/MFqLWMBI4DANLjNCMBt1TQIwB+s1jIWMAIITIPbjADcVk2DAPzBai1jAS9XAIXmP9scjK7FVSs5m78IwB+s1jIWMAIITIPbjADcVk2DAPzBai1jASOAwDS4zQjAbdU0CMAfrNYyFjACCEyD24wA3FZNgwD8wWotYwEjgMA0uM0IwG3VNAjAH6zWMhYwAghMg9uMANxWTYMA/MFqLWMBI4DANLjNCMBt1TQIwB+s1jIW8GIFUGr+s83B6FpctZKz+YsA/MFqLWMBI4DANLjNCMBt1TQIwB+s1jIWMAIITIPbjADcVk2DAPzBai1jASOAwDS4zQjAbdU0CMAfrNYyFjACCEyD24wA3FZNgwD8wWotYwEjgMA0uM0IwG3VNAjAH6zWMhbwUgVQbP6zzcHoWly1krP5iwD8wWotYwEjgMA0uM0IwG3VNAjAH6zWMhYwAghMg9uMANxWTYMA/MFqLWMBI4DANLjNCMBt1TQIwB+s1jIWMAIITIPbjADcVk2DAPzBai1jASOAwDS4zQjAbdU0CMAfrNYyFjACCEyD24wA3FZNgwD8wWotYwEvVADl5j/bHIyuxVUrOZu/CMAfrNYyFjACCEyD24wA3FZNgwD8wWotYwEjgMA0uM0IwG3VNAjAH6zWMhYwAghMg9uMANxWTYMA/MFqLWMBI4DANLjNCMBt1TQIwB+s1jIWMAIITIPbjADcVk2DAPzBai1jASOAwDS4zQjAbdU0CMAfrNYyFvAyBVBw/rPNwehaXLWSs/mLAPzBai1jASOAwDS4zQjAbdU0CMAfrNYyFjACCEyD24wA3FZNgwD8wWotYwEjgMA0uM0IwG3VNAjAH6zWMhYwAghMg9uMANxWTYMA/MFqLWMBI4DANLjNCMBt1TQIwB+s1jIWMAIITIPbjADcVk2DAPzBai1jAS9SACXnP9scjK7FVSs5m78IwB+s1jIWMAIITIPbjADcVk2DAPzBai1jASOAwDS4zQjAbdU0CMAfrNYyFjACCEyD24wA3FZNgwD8wWotYwEjgMA0uM0IwG3VNAjAH6zWMhYwAghMg9uMANxWTYMA/MFqLWMBI4DANLjNCMBt1TQIwB+s1jIW8BIFUHT+s83B6FpctZKz+YsA/MFqLWMBI4DANLjNCMBt1TQIwB+s1jIWMAIITIPbjADcVk2DAPzBai1jASOAwDS4zQjAbdU0CMAfrNYyFjACCEyD24wA3FZNgwD8wWotYwEjgMA0uM0IwG3VNAjAH6zWMhbwAgVQdv6zzcHoWly1krP5O1sAn79xt8u3f7299MVbj+/ufvj2/p+GLyCAQuhqYAQQmAa3GQG4reosgE8edwRwsMFeBsMXEEApdDUwAghMg9uMANxWdRbAB3ffPV94evfq2/efvnn36ntXLyCAUuhqYAQQmAa3GQG4reosgKd3Pz799yePD68DXvnFtQsIoBi6GhgBBKbBbUYAbqv6CuCLNzsj/d3Dq4F3t1IYvoAAiqGrgRFAYBrcZgTgtqqvAD5/49X/9JO7uz/Zvbv79O7Pdj/cHRYavoAAiqGrgRFAYBrcZgTgtqqvAI7vAW8H/OnVwCePX31v+ML+hr9/yEw+If3ZVD/DmZDFZ+5vyQd3dz967/6/vnX3MOERAFlOEAAho5n7W3I8uL99L7gz5r/96+EL6QJFXubsXuoUW3kMrPai0QJe3iGgwkeA2OZgdC2uWsnOAjjmg7trT/p7XgEggBLoamAEEJgGtxkBuK1aRgDZ83wEUAddDYwAAtPgNiMAt1VLCeBhsnMW0A6s1jIWMAIITIPbjADcVnUVwBdvdif78Sz/w6n/QxcQQDF0NTACCEyD24wA3FZ1FcDDU/vvnkXAJ4F3YLWWsYAXJ4DS859tDkbX4qqV7CyATx5vTwP99Ce7L/l50MB3Tt/4M3wBARRDVwMjgMA0uM0IwG1VXwHcv3v4MtDdR4E/7X7n5/AFBFAKXQ2MAALT4DYjALdVnQVw/+mf3t298qPDE/tP33qY8j8cvYAACqGrgRFAYBrcZgTgtqq3AGamSJG7QoutPAZWaxkLGAEEpsFtRgBuq6ZBAP5gtZaxgBFAYBrcZgTgtmoaBOAPVmsZCxgBBKbBbUYAbqumQQD+YLWWsYCXJoDi859tDkbX4qqVnM1fBOAPVmsZCxgBBKbBbUYAbqumQQD+YLWWsYARQGAa3GYE4LZqGgTgD1ZrGQsYAQSmwW1GAG6rpkEA/mC1lrGAEUBgGtxmBOC2ahoE4A9WaxkLGAEEpsFtRgBuq6ZBAP5gtZaxgBcmgPLzn20ORtfiqpWczV8E4A9WaxkLGAEEpsFtRgBuq6ZBAP5gtZaxgJclgA0CKANur2a5krP5iwD8wWotYwEvTQABYLY5FF2Lq1ZyNn8RgD9YrWUsYAQQmAa3GQG4rZoGAfiD1VrGAl6UACKOALHNwehaXLWSs/mLAPzBai1jAS9MABFgtjkUXYurVnI2fxGAP1itZSzgJQkg5AUA2xyMrsVVKzmbvwjAH6zWMhbwsgQQAmabQ9G1uGolZ/MXAfiD1VrGAkYAgWlwmxGA26ppEIA/WK1lLOAFCSDmCBDbHIyuxVUrOZu/CMAfrNYyFvCiBBADZptD0bW4aiVn8xcB+IPVWsYCXo4Agl4AsM3B6FpctZKz+YsA/MFqLWMBL0kAQWC2ORRdi6tWcjZ/EYA/WK1lLODFCCDqBQDbHIyuxVUrOZu/CMAfrNYyFvDYQ5IjAAAZ2ElEQVSCBBAFZptD0bW4aiVn8xcB+IPVWsYCRgCBaXCbEYDbqmkQgD9YrWUs4KUIIOwIENscjK7FVSs5m78IwB+s1jIW8HIEEAZmm0PRtbhqJWfzFwH4g9VaxgJeiADiXgCwzcHoWly1krP5iwD8wWotYwEvRgBxYLY5FF2Lq1ZyNn8RgD9YrWUsYAQQmAa3GQG4rZoGAfiD1VrGAl6GAAKPALHNwehaXLWSs/mLAPzBai1jAS9FAIFgtjkUXYurVnI2fxGAP1itZSzgRQgg8gUA2xyMrsVVKzmbvwjAH6zWMhbwQgQQCWabQ9G1uGolZ/MXAfiD1VrGAl6CAEJfALDNwehaXLWSs/mLAPzBai1jAS9DAKFgtjkUXYurVnI2fxGAP1itZSxgBBCJrgZur2a5krP5iwD8wWotYwEvQACxR4DY5mB0La5aydn8RQD+YLWWsYAXIYBYMNsciq7FVSs5m78IwB+s1jIWcH0BBL8AYJuD0bW4aiVn8xcB+IPVWsYCXoIAgsFscyi6Flet5Gz+IgB/sFrLWMAIIBJdDdxezXIlZ/MXAfiD1VrGAq4ugOgjQGxzMLoWV63kbP4iAH+wWstYwAsQQDSYbQ5F1+KqlZzNXwTgD1ZrGQu4tgDCXwCwzcHoWly1krP5iwD8wWotYwHXF0A4mG0ORdfiqpWczV8E4A9WaxkLuLIA4l8AsM3B6FpctZKz+YsA/MFqLWMBVxdAPJhtDkXX4qqVnM1fBOAPVmsZCxgBRKKrgdurWa7kbP4iAH+wWstYwHUFUOEIENscjK7FVSs5m78IwB+s1jIWcG0BVACzzaHoWly1krP5iwD8wWotYwFXFUCNFwBsczC6Flet5Gz+IgB/sFrLWMCVBVADzDaHomtx1UrO5i8C8AertYwFjAAi0dXA7dUsV3I2fxGAP1itZSzgmgKocgSIbQ5G1+KqlZzNXwTgD1ZrGQu4rgCqgNnmUHQtrlrJ2fxFAP5gtZaxgCsKoM4LALY5GF2Lq1ZyNn8RgD9YrWUs4KoCqANmm0PRtbhqJWfzFwH4g9VaxgKuR670AoBtDkbX4qqVnM1fBOAPVmsZC7imACqB2eZQdC2uWsnZ/EUA/mC1lrGAEUAkuhq4vZrlSs7mLwLwB6u1jAVcjVzrCBDbHIyuxVUrOZu/CMAfrNYyFnBFAVQCs82x6FpctZKz+YsA/MFqLWMB1yJXewHANgeja3HVSs7mLwLwB6u1jAVcTwCVwGxzMLoWV63kbP4iAH+wWstYwAggEl0N3F7NciVn8xcB+IPVWsYCrkSudwSIbQ5G1+KqlZzNXwTgD1ZrGQu4mgCaK/l5g9v8HAH4rZoGAfiD1VrGAq5D3iCAWHB7NcuVnM1fBOAPVmsZC7gKeXsAqLGS9+hq4PZqlis5m78IwB+s1jIWcAXyZvcGQFMlH9HVwO3VLFdyNn8RgD9YrWUs4Hjyfv43VfIJXQ3cXs1yJWfzFwH4g9VaxgIOJx/P/2mo5DO6Gri9muVKzuYvAvAHq7WMBRxNPp3/2U7JHXQ1cHs1y5WczV8E4A9WaxkLOJh8Pv+/mZK76Grg9mqWKzmbvwjAH6zWMhZwKHnT+fxXIyWn6Grg9mqWKzmbvwjAH6zWMhZwJLk7/xspOUNXA7dXs1zJ2fxFAP5gtZaxgAPJ6dc/NFFyjq4Gbq9muZKz+YsA/MFqLWMBx5Gzr/9poeQLdDVwezXLlZzNXwTgD1ZrGQs4jJx//VsDJV+iq4Hbq1mu5Gz+IgB/sFrLjGX7jTxB5M3F13+yzZHg9mqWKzmbvwjAH6zWMtez2SWGfDn/2eZQcHs1y5WczV8E4A9Wa5mr2c/kmK/l7/v2f7Y5EtxezXIlZ/MXAfiD1VrmSo5Pye8jDND711/Y5khwezXLlZzNXwTgD1ZrmcFsTodkHhopgtbzU7Y5EtxezXIlZ/MXAfiD1VpmIJvOEfn74i8Beg7/78llscNpZZsTcHs1y5WczV8E4A9Wa5nebNLP494XfhtgaP6zzaHg9mqWKzmbvwjAH6zWMn3JBvK25pIGGP7j72xzJLi9muVKzuYvAvAHq7XMZS6ej+9qLieA4fnPNoeC26tZruRs/iIAf7Bay+TZXB6P2QugkAEGD//syGWY45Hf5j5wezXLlZzNXwTgD1ZrmTQ94/9YcxkDXJ3/bHMouL2a5UrO5i8C8AertUyS/nF8qLmEAa6Of7Y5FtxezXIlZ/MXAfiD1Vqmk8GTMQ9kdwFcf/r/nG2OBbdXs1zJ2fxFAP5gtZY5pffozx58FICzAUbnP9scCm6vZrmSs/mLAPzBai1zyPD479Tsa4DR8c82x4Lbq1mu5Gz+VhcAWUf23/lpuZ4r0m0xQshlqv+GFbHcznTFVh4Dqz1nOH7l8zXwmez2EmD88M+O7IWbGsFtHge3V7Ncydn8RQD+YLWWGR3/qQCcDGAa/2xzLLi9muVKzuYvAvAHa7XM+PR/ntbsYgDb0//nbHMsuL2a5UrO5i8C8AcrtYxp/Gc1OxjAPP/Z5lBwezXLlZzNXwTgD9ZpGeP4z2ueLQDz+GebY8Ht1SxXcjZ/EYA/WKVlzOP/QgDzDGDHPmebY8Ht1SxXcjZ/EYA/WKJlDO/8dsEpeZYBJs1/tjkU3F7NciVn8xcB+IMFWmba+L+seYYBJnHZ5lhwezXLlZzNXwTgD15Ny2yuZRo4J98qgOnkG0Gzs55tdgS3V7Ncydn8RQD+4JW0jN/47xPAbQaYjmabI8Ht1SxXcjZ/EYA/eA0tc9OYvwK+IN+y+C13iW2OBLdXs1zJ2fxFAP7g5beM8/jvrXn6+jfdJ7Y5EtxezXIlZ/MXAfiDl94y3tP/eX/NExE33im2ORLcXs1yJWfzFwH4g5fdMgXG/4AAplBuvldscyS4vZrlSs7mLwLwBy+4ZdyP/RzBfeQJoNvvFdscCW6vZrmSs/mLAPzBi22ZUuN/qGYra869Ypsjwe3VLFdyNn8RgD94oS1TbPo/H6zZRJx3v9jmSHB7NcuVnM1fBOAPLkQ2nKt/hVxy/F8VwBh15v2S22YLuhq4vZrlSs7mLwLwBzuTr35gKx2fQ+Ryx36O4MGaR9Cz75fMNk9BVwO3V7Ncydn8RQD+YCfy6BP+UTOMvF5wzLWar/Ad7tjqt/kWdDVwezXLlZzNXwTgD3YgT5rctaf/89GarxhsNnnuAjeD1SaDBdxezXIlZ/MXAfiD55HnDO0F13xZk4+YFlxyOXQ1cHs1y5WczV8E4A++mTz7Gfuia05L83phsuiSS6GrgdurWa7kbP4iAN/cOsN9jtYsfTKcK3Q7LrX0kougq4Hbq1mu5Gz+IgDX3HL43fFI/Qomg/fbEiso2R9dDdxezXIlZ/MXAThmP9cONRnemp2iCVNWMRlc5/86SvZGVwO3V7Ncydn8RQBuOc61i7+PGzL7d2lwMjRYMjVHctVKzuYvAnDKeZbLtYwFjAAi0dXA7dUsV3I2fxGATzpP5eVaxgJGAJHoauD2apYrOZu/CMAjyZEcuZaxgBFAJLoauL2a5UrO5i8CmJ/sSL5cy1jACCASXQ3cXs1yJWfzFwHMTv5GrlzLWMAIIBJdDdxezXIlZ/MXAczM5Xk8ci1jASOASHQ1cHs1y5WczV8EMCt953HKtYwFjAAi0dXA7dUsV3I2fxHAjPSfxi/XMhYwAohEVwO3V7Ncydn8RQC3Z+BTXHItYwEjgEh0NXB7NcuVnM1fBHBrBj/EK9cyFjACiERXA7dXs1zJ2fxFADfl2pc4yLWMBYwAItHVwO3VLFdyNn8RwOSMfYWPXMtYwAggEl0N3F7NciVn8xcBTIvhC9zkWsYCRgCR6Grg9mqWKzmbvwjAHuO3d8q1jAWMACLR1cDt1SxXcjZ/EYAx9u9ulmsZCxgBRKKrgdurWa7kbP4iAEOmfXG/XMtYwAggEl0N3F7NciVn8xcBjGT6n22RaxkLGAFEoquB26tZruRs/iKAq7nlb3bJtYwFjAAi0dXA7dUsV3I2fxHAtdz0FxvlWsYCRgCR6Grg9mqWKzmbvwhgODf+wV65lrGAEUAkuhq4vZrlSs7mLwIYzK1/sF2uZSxgBBCJrgZur2a5krP5iwAGcuv4F2wZCxgBRKKrgdurWa7kbP4igN7c8N7vGazWMhYwAohEVwO3V7Ncydn8RQB9mTH+BVvGAkYAkehq4PZqlis5m78I4DKzxr9gy1jACCASXQ3cXs1yJWfzFwFcZOb812sZCxgBRKKrgdurWa7kbP4igCxzx79gy1jACCASXQ3cXs1yJWfzFwEkmfPm7wms1jIWMAKIRFcDt1ezXMnZ/EUA3TiMf8GWsYARQCS6Gri9muVKzuYvAjjHZfwLtowFjAAi0dXA7dUsV3I2fxHAKU7zX69lLGAEEImuBm6vZrmSs/mLAA7xGv+CLWMBI4BIdDVwezXLlZzNXwSwzS3f+jwMVmsZCxgBRKKrgdurWa7kbP4iAN/p/1ywZSxgBBCJrgZur2a5krP527gAJv+5LwtYrWUsYAQQia4Gbq9muZKz+duyAEpM/+eCLWMBI4BIdDVwezXLlZzN31YFUGj478BqLWMBI4BIdDVwezXLlZzN3yYFUHD6PxdsGQsYAUSiq4Hbq1mu5Gz+NieAssN/B1ZrGQsYAUSiq4Hbq1mu5Gz+tiWA8tP/uWDLWMAIIBJdDdxezXIlZ/O3IQFEDP8dWK1lLGAEEImuBm6vZrmSs/nbigCipv9zwZaxgBFAJLoauL2a5UrO5m8TAgic/s8FW8YCRgCR6Grg9mqWKzmbv/oCiJ3+zwVbxgJGAJHoauD2apYrOZu/4gIIn/7PBVvGAkYAkehq4PZqlis5m7/KAqgx/Z8LtowFjAAi0dXA7dUsV3I2f1UFEHLCZ3/kWsYCRgCR6Grg9mqWKzmbv3oC2JzivrQtci1jASOASHQ1cHs1y5WczV8lAWw23eHPb0kkGAFEoquB26tZruRs/moIIB39h0JdVr4hci1jASOASHQ1cHs1y5Wczd+1C6Bv9B8KnbnyzZFrGQsYAUSiq4Hbq1mu5Gz+agigt9CZK98cuZaxgBFAJLoauL2a5UrO5u/aBXCl0GIrj4HVWsYCRgCR6Grg9mqWKzmbvwjAH6zWMhYwAohEVwO3V7Ncydn8RQD+YLWWsYARQCS6Gri9muVKzuYvAvAHq7WMBYwAItHVwO3VLFdyNn8RgD9YrWUsYAQQia4Gbq9muZKz+YsA/MFqLWMBI4BIdDVwezXLlZzNXwTgD1ZrGQsYAUSiq4Hbq1mu5Gz+IgB/sFrLWMAIIBJdDdxezXIlZ/MXAfiD1VrGAkYAkehq4PZqlis5m78IwB+s1jIWMAKIRFcDt1ezXMnZ/EUA/mC1lrGAEUAkuhq4vZrlSs7mLwLwB6u1jAWMACLR1cDt1SxXcjZ/EYA/WK1lLGAEEImuBm6vZrmSs/mLAPzBai1jASOASHQ1cHs1y5WczV8E4A9WaxkLGAFEoquB26tZruRs/iIAf7Bay1jACCASXQ3cXs1yJWfzFwH4g9VaxgJGAJHoauD2apYrOZu/CMAfrNYyFjACiERXA7dXs1zJ2fxFAP5gtZaxgBFAJLoauL2a5UrO5m+YAL546/Hd3Q/fvvh5kSJ3hRZbeQys1jIWMAKIRFcDt1ezXMnZ/I0SwOdv3G3z7V8jgJLoamAEEImuBm6vZrmSKwng6d2rb99/+ubdq+8hgILoamAEEImuBm6vZrmS6wjgk8e75/6fv/HKLxBAQXQ1MAKIRFcDt1ezXMl1BPDu3XcP///j7F+KFLkrtNjKY2C1lrGAEUAkuhq4vZrlSs7mb5AAnt792e7/PziI4JwiRe4KLbbyGFitZSxgBBCJrgZur2a5krP5GyOAL948HPr55PHxTYDfPySETwgh5CIIgBBCGk24APITQYu8zNm91Cm28hhY7UWjBcwhoEh0NXB7NcuVXFsA+XmgRYrcFVps5TGwWstYwAggEl0N3F7NciUjgNKRaxkLGAFEoquB26tZruQqAuAsoCB0NTACiERXA7dXs1zJ2fwN+xzAj5P/P6dIkbtCi608BlZrGQsYAUSiq4Hbq1mu5Gz+8klgf7Bay1jACCASXQ3cXs1yJdcRwBdv3n2H7wIqj64GRgCR6Grg9mqWK7mOAO4/5dtAI9DVwAggEl0N3F7NciVXEsD9p289zP8f5s//EYAvuhoYAUSiq4Hbq1mu5Gz+8hfB/MFqLWMBI4BIdDVwezXLlZzNXwTgD1ZrGQsYAUSiq4Hbq1mu5Gz+IgB/sFrLWMAIIBJdDdxezXIlZ/MXAfiD1VrGAkYAkehq4PZqlis5m78IwB+s1jIWMAKIRFcDt1ezXMnZ/EUA/mC1lrGAEUAkuhq4vZrlSs7mLwLwB6u1jAWMACLR1cDt1SxXcjZ/EYA/WK1lLGAEEImuBm6vZrmSs/lbXQB6afGvnDVYc4Mlt1izeskIwD3qLdOXBmtusOQWa1YvGQG4R71l+tJgzQ2W3GLN6iUjAPeot0xfGqy5wZJbrFm9ZATgHvWW6UuDNTdYcos1q5eMANyj3jJ9abDmBktusWb1khGAe9Rbpi8N1txgyS3WrF4yAnCPesv0pcGaGyy5xZrVS0YAhBDSaBAAIYQ0GgRACCGNBgEQQkijQQCEENJoEAAhhDQaBEAIIY0GARBCSKNBAPPy+RvfPfzXp396d/fK//Lew3998ebdMd/+9fbyW4/v7n74dsV76Zu+mg8XTmWK1Xyl5NMFqZL/aVtZ72YOX1h5hku+7zaAUsn3CGBunt4dGuMf9xP/O7++EMDnb5xdIJG+mu/vP3m8u/DKL7YX1GruLzm5IFXy390NbebwhZVnuORtTg2gVPI2CGBOvnh6d2iMh/H36tv3X/zd3avvnf71k8e7bnq6/ZdP3+z+y5ozUPOD9TplatU8UHK650olf3D3yr+53xazm3NPB3dWqOYrJXcbQKnkXRDAjPzTT+6OjfH00BFP7/7s+K8PI/HH99sxsWupz9/YP7dYe4ZqTsrUqnmo5OH6V56Hzt118cOz3as7K1TzlZKTBhAqeR8EcHvevbv70T/uG+PYPw9PJL57/ufdfHj38JN3dzpYewZr/qD7Q6mah0pO61cq+fM3Dkc4nm6LSSobvrDuXCm52wBKJe+DAG7Pu9/5D+e5d3hG8Mnj42vD/XOJ82uCjhpWnMGak6dGUjUPlZzWL1XyMbtpmFQ2fEEklyV3G0CvZAQwL8MCeHfwX9ae3ppP7wF8V7HmUQHolXx/sHlbNV+WvP/58O/5yoMA5uX8zCA9SHw6SqjXMgM1f7E/jeJH7ynW3Fty94JeyfeH5zBtCeCy5P3PEQDpzXEyfPJ4O/q2Q/BwLPGDgwk6LaNy6lh/zZ/8ZH9O5NuKNfeW3L2gV/LuxJhfZJs5fKHavXRNT8nHf8gFIFIyApiX07HAd/enEf/Pj49z/3CwUO85Q3/Np2nY/xJ65enf5s4FvZLvP3j8yraFW3oF0Ffy4V94BUD6cn4zaHuu2J+8fWyM0zMEvZbpr/np4bSIp7vzY9RqHtjm8wW9kt+96zmGqS2A3pL3/4QASG/yswGOl88/lztvoLdm8VNihrb5fEGt5L+7O57p3sxZQAMlJ/8lVjICmJu8Ec5PhI/nCR/PGJY5c7i35lQAcjUPbfP5glbJXzw9fMHFfVbZ8IW1Z7DkXY4NIFXyNghgXrLGOHz7w3keCn52sL/m7iEgvZp7S04uaJX8tPNVB018EvhKybuczwIQKnkbBDAv50M+268S+afHhzF4+mDh7u3g70h9e0h/zR/cnd8E1qt5oOTOBamS3+1WkVQ2fGHlGS55l2MDKJW8CwKYl9OxgcOXCR76ovse0adi3x84UPPhlJi9AdVq7i85uSBU8uEbL+8O34CTVDZ8YdW5VvI2pwbQKXkfBDAv54PD//g/3d39d//m9OPOM4RP33romB+KPGO4H6z5/9v+PYA/OXxRuljNAyUnF3RK/uAumYZpZcMX1pyrJd93G0Cm5H0QACGENBoEQAghjQYBEEJIo0EAhBDSaBAAIYQ0GgRACCGNBgEQQkijQQCEENJoEAAhhDQaBEAIIY0GARBCSKNBAIQQ0mgQACGENBoEQMhlnmzSfGv3sy+/U/t+EeIaBEDIZRAAaSIIgJDLIADSRBAAIUN58dPNV2rfB0IKBgEQMhQEQMSDAAgZCgIg4kEAhAwlFcD+PYDdz37zvc3mpW8+XPrN9zebzTd+dbjGRz979PDz00VClh4EQMhQBgTw3xzeIv69v/3l/j9e+vnuCs+Obxl/s9L9JWRiEAAhQxkQwMOEf+f+xcPw/9LmG7+7f/GXm/3pQc/2rwU+/iUGIGsJAiBkKEMC2J4Uev/Za5vDvz55eC1wf//ho+OVnx1fEhCy8CAAQoYyIIDtuN9dPh362f7Hs+PPee+YrCYIgJChDAjg8HmwJ8eJ//5WAN3r8pExspIgAEKGMngW0OFyVwDbI0LnHF8MELLoIABChoIAiHgQACFDmSgADvyTtQUBEDKUKQI4vzdAyGqCAAgZyhQBnE8KwgVkNUEAhAxlkgA+fHQc++9vNq9H31VCbgkCIGQokwSw/STwy39xf/5kMCGLDwIgZCjTBHD+LiDmP1lJEAAhQ5kogPuPfvbVh/H/9b+Ivp+E3BgEQAghjQYBEEJIo0EAhBDSaBAAIYQ0GgRACCGNBgEQQkijQQCEENJoEAAhhDQaBEAIIY0GARBCSKNBAIQQ0mgQACGENBoEQAghjQYBEEJIo0EAhBDSaBAAIYQ0GgRACCGNBgEQQkijQQCEENJoEAAhhDSa/x/hXCLg4ts2DQAAAABJRU5ErkJggg==" width="768" /></p>
</div>
<div id="transformations-differences" class="slide section level1">
<h1>Transformations: Differences</h1>
<p>Basic R Syntax of diff():</p>
<div class="sourceCode" id="cb4"><pre class="sourceCode r"><code class="sourceCode r"><span id="cb4-1"><a href="#cb4-1"></a> <span class="co"># diff(x)</span></span></code></pre></div>
<p>Definition of diff():</p>
<p>The diff function computes the difference between pairs of consecutive elements of a numeric vector.</p>
<p>In R we can use the <code>diff(x,lag,diff)</code> function for differencing a time series, which requires 3 arguments:</p>
<pre><code>- x (the data)
- lag (the lag at which to difference)
- differences/diff (the order of differencing). </code></pre>
<p>Note: The second argument is the lag, which is the number of periods, and the third argument is differences, which is the order of the difference (e.g. how many times diff() is called).</p>
</div>
<div id="lets-practice" class="slide section level1">
<h1><strong>Let’s practice!</strong></h1>
<div class="sourceCode" id="cb6"><pre class="sourceCode r"><code class="sourceCode r"><span id="cb6-1"><a href="#cb6-1"></a>X<-<span class="st"> </span><span class="kw">data.frame</span>(<span class="dt">Date=</span><span class="dv">1</span><span class="op">:</span><span class="dv">5</span>, <span class="dt">Dulles_2=</span><span class="kw">c</span>(<span class="dv">1</span>,<span class="dv">4</span>,<span class="dv">10</span>,<span class="dv">20</span>,<span class="dv">35</span>))</span>
<span id="cb6-2"><a href="#cb6-2"></a><span class="kw">head</span>(X,<span class="dv">7</span>)</span></code></pre></div>
<pre><code>## Date Dulles_2
## 1 1 1
## 2 2 4
## 3 3 10
## 4 4 20
## 5 5 35</code></pre>
<blockquote>
<p>How to obtain a first order difference of <code>X$Dulles_2</code> in R?</p>
</blockquote>
</div>
<div id="hints" class="slide section level1">
<h1><strong>Hints ?</strong></h1>
</div>
<div id="no" class="slide section level1">
<h1>No</h1>
<p>I’m good!</p>
</div>
<div id="yes" class="slide section level1">
<h1>Yes</h1>
<p><code>X$Dulles_2</code> <code>diff(X$Dulles_2, lag=1, diff=1)</code></p>
<div class="sourceCode" id="cb8"><pre class="sourceCode r"><code class="sourceCode r"><span id="cb8-1"><a href="#cb8-1"></a>X<-<span class="st"> </span><span class="kw">data.frame</span>(<span class="dt">Date=</span><span class="dv">1</span><span class="op">:</span><span class="dv">5</span>, <span class="dt">Dulles_2=</span><span class="kw">c</span>(<span class="dv">1</span>,<span class="dv">4</span>,<span class="dv">10</span>,<span class="dv">20</span>,<span class="dv">35</span>))</span>
<span id="cb8-2"><a href="#cb8-2"></a><span class="kw">head</span>(X,<span class="dv">7</span>)</span></code></pre></div>
<pre><code>## Date Dulles_2
## 1 1 1
## 2 2 4
## 3 3 10
## 4 4 20
## 5 5 35</code></pre>
<div class="sourceCode" id="cb10"><pre class="sourceCode r"><code class="sourceCode r"><span id="cb10-1"><a href="#cb10-1"></a>dif_lag1_Dulles<-<span class="kw">diff</span>(X<span class="op">$</span>Dulles_<span class="dv">2</span>, <span class="dt">lag=</span><span class="dv">1</span>, <span class="dt">diff=</span><span class="dv">1</span>)</span>
<span id="cb10-2"><a href="#cb10-2"></a>dif_lag1_Dulles</span></code></pre></div>
<pre><code>## [1] 3 6 10 15</code></pre>
</div>
<div id="more-examples" class="slide section level1">
<h1>More examples</h1>
<p><strong>Example 1: diff Function with Default Specifications <code>diff(X$Dulles_2, lag=1, diff=1)</code></strong></p>
<ul>
<li>Step 1:
<center>
<img 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" style="width:30.0%" />
</center></li>
<li>Step 2:
<center>
<img 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" style="width:30.0%" />
</center></li>
</ul>
<div class="sourceCode" id="cb12"><pre class="sourceCode r"><code class="sourceCode r"><span id="cb12-1"><a href="#cb12-1"></a><span class="co"># These are the same</span></span>
<span id="cb12-2"><a href="#cb12-2"></a><span class="kw">diff</span>(X<span class="op">$</span>Dulles_<span class="dv">2</span>)</span></code></pre></div>
<pre><code>## [1] 3 6 10 15</code></pre>
<div class="sourceCode" id="cb14"><pre class="sourceCode r"><code class="sourceCode r"><span id="cb14-1"><a href="#cb14-1"></a><span class="kw">diff</span>(X<span class="op">$</span>Dulles_<span class="dv">2</span>, <span class="dt">lag=</span><span class="dv">1</span>)</span></code></pre></div>
<pre><code>## [1] 3 6 10 15</code></pre>
<div class="sourceCode" id="cb16"><pre class="sourceCode r"><code class="sourceCode r"><span id="cb16-1"><a href="#cb16-1"></a><span class="kw">diff</span>(X<span class="op">$</span>Dulles_<span class="dv">2</span>, <span class="dt">diff=</span><span class="dv">1</span>)</span></code></pre></div>
<pre><code>## [1] 3 6 10 15</code></pre>
<div class="sourceCode" id="cb18"><pre class="sourceCode r"><code class="sourceCode r"><span id="cb18-1"><a href="#cb18-1"></a><span class="kw">diff</span>(X<span class="op">$</span>Dulles_<span class="dv">2</span>, <span class="dt">lag=</span><span class="dv">1</span>, <span class="dt">diff=</span><span class="dv">1</span>)</span></code></pre></div>
<pre><code>## [1] 3 6 10 15</code></pre>
</div>
<div id="example-2-diff-function-with-default-specifications-diffxdulles_2-lag1diff2" class="slide section level1">
<h1>Example 2: diff Function with Default Specifications <code>diff(X$Dulles_2, lag=1,diff=2)</code></h1>
<ul>
<li>Step 1:
<center>
<img src="data:image/png;base64,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" style="width:30.0%" />
</center></li>
<li>Step 2:
<center>
<img 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" style="width:30.0%" />
</center></li>
</ul>
<div class="sourceCode" id="cb20"><pre class="sourceCode r"><code class="sourceCode r"><span id="cb20-1"><a href="#cb20-1"></a><span class="co"># These are the same</span></span>
<span id="cb20-2"><a href="#cb20-2"></a><span class="kw">diff</span>(X<span class="op">$</span>Dulles_<span class="dv">2</span>, <span class="dt">diff=</span><span class="dv">2</span>)</span></code></pre></div>
<pre><code>## [1] 3 4 5</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="kw">diff</span>(X<span class="op">$</span>Dulles_<span class="dv">2</span>, <span class="dt">lag=</span><span class="dv">1</span>,<span class="dt">diff=</span><span class="dv">2</span>)</span></code></pre></div>
<pre><code>## [1] 3 4 5</code></pre>
<div class="sourceCode" id="cb24"><pre class="sourceCode r"><code class="sourceCode r"><span id="cb24-1"><a href="#cb24-1"></a><span class="kw">diff</span>(<span class="kw">diff</span>(X<span class="op">$</span>Dulles_<span class="dv">2</span>))</span></code></pre></div>
<pre><code>## [1] 3 4 5</code></pre>
</div>
<div id="example-3-diff-function-with-lag-larger-than-1-diffxdulles_2lag2-diff1" class="slide section level1">
<h1>Example 3: diff Function with Lag Larger Than 1 <code>diff(X$Dulles_2,lag=2, diff=1)</code></h1>
<ul>
<li>Step 1:</li>
</ul>
<center>
<img 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" style="width:30.0%" />
</center>
<ul>
<li>Step 2:</li>
</ul>
<center>
<img 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" style="width:30.0%" />
</center>
<div class="sourceCode" id="cb26"><pre class="sourceCode r"><code class="sourceCode r"><span id="cb26-1"><a href="#cb26-1"></a><span class="kw">diff</span>(X<span class="op">$</span>Dulles_<span class="dv">2</span>,<span class="dt">lag=</span><span class="dv">2</span>, <span class="dt">diff=</span><span class="dv">1</span>)</span></code></pre></div>
<pre><code>## [1] 9 16 25</code></pre>
</div>
<div id="lets-practice-1" class="slide section level1">
<h1><strong>Let’s practice!</strong></h1>
<ul>
<li><p>Similar ideas to homework 1 Question 2 (Month-to-Month Changes/Year-to-Year Changes)</p></li>
<li><p>Type <code>?ts</code> and <code>?lag</code> in the console for more details. lag() is a generic function.</p></li>
<li><p>Compute a lagged version of a time series, shifting the time base back by a given number of observations.</p></li>
</ul>
</div>
<div id="time-series-plot-for-the-first-differences-of-the-dulles-passenger-series" class="slide section level1">
<h1>Time Series Plot for the First Differences of the Dulles Passenger Series</h1>
<div class="sourceCode" id="cb28"><pre class="sourceCode r"><code class="sourceCode r"><span id="cb28-1"><a href="#cb28-1"></a><span class="co"># How to use "diff" function</span></span>
<span id="cb28-2"><a href="#cb28-2"></a><span class="kw">library</span>(ggplot2)</span>
<span id="cb28-3"><a href="#cb28-3"></a><span class="kw">par</span>(<span class="dt">mfrow=</span><span class="kw">c</span>(<span class="dv">1</span>,<span class="dv">2</span>))</span>
<span id="cb28-4"><a href="#cb28-4"></a>Diff_<span class="dv">1</span> <-<span class="st"> </span><span class="kw">diff</span>(Dulles2, <span class="dt">differences =</span> <span class="dv">1</span>)</span>
<span id="cb28-5"><a href="#cb28-5"></a><span class="kw">autoplot</span>(Diff_<span class="dv">1</span>, <span class="dt">xlab=</span><span class="st">'Time'</span>, <span class="dt">colour=</span><span class="st">"blue"</span>,<span class="dt">main =</span> <span class="st">"Time Series Plot for the First Differences of the Dulles Passenger Series"</span>)</span></code></pre></div>
<p><img 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" width="768" /></p>
<div class="sourceCode" id="cb29"><pre class="sourceCode r"><code class="sourceCode r"><span id="cb29-1"><a href="#cb29-1"></a><span class="kw">autoplot</span>(Dulles2, <span class="dt">xlab=</span><span class="st">'Time'</span>,<span class="dt">main =</span> <span class="st">"Time Series Plot of Domestic Passengers at Dulles, 1963–2015"</span>)</span></code></pre></div>
<p><img 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dZ3upen2z/LGWMPQXp3j8/JM84guXPvegSQntcycLvuewBXdrDnfvbt0eCj3wH/0aOxL4Mb7Kcng0/Vk0e3c8vj3yTu3rHDffplZ/mhP16f3IfuH5NMftB7Jzq/WrwDsPKsWQCdr/vp+1Ldv+/8Ypy+KPHiJj0C6Fn39FXI+VHTMQHcf3Y6x/B4usX7yfg4XP3iWuMC6JxBfnHzqY/bZX3He3m+/enxvCh34BSR04h56V8fj3pfci5/cnHvegRwPnXzG//2dPzrytZe3cGe+9mzR+OP/kuvf9grANPjbRTA+c6e79zpsXjpX12WNDT/87NTD798p7Wy36j0TpwEc+3LrMkasmoBbD/Bs/1N6vkbJbv85me7rwP+WvLZ1OwmfQLoWffjv9ot9fWLL5geE8D2j7E82v7pj/Ovyvar1Df/LL+v2bVGBPC1P/ybazef/Lhd1ne4l53bW/8gzCn7P4OyXfP0KF9yeh7Z7N71CeB+9wdhttfpnIg4vLX9nCv383KPrjz6+z9O8/DgDwjA8nhbBXD4yzjfTD5uvTvI+aVum3982KuB4//5a6jzE/79AdOv/eD6i7z937MZ+r0j68liBEDILZH5MoLPXrv2WXZCigQBkPWl85pA5kz0Dx+NfS80Ie5BAGR96Zx+/mz4PMd15ZnGCxmyriAAsr4cT0S8/+3P8vdq15oPH2l4jKwrCICsMN1zfDUG5zPTH28kxDcIgKwwnb/3efHXZwgh1iAAssrsT0T80h9xIjohtwcBEEJIo0EAhBDSaBAAIYQ0GgRACCGNBgEQQkijQQCEENJoEAAhhDQaBEAIIY0GARBCSKNBAIQQ0mgQACGENBoEQAghjQYBEEJIo0EAhBDSaKoL4HmplFt5DFyN3GLNDZZMzZFctZKz+YsA/MFqLWMBI4BIdDVwezXLlZzNXwTgD1ZrGQsYAUSiq4Hbq1mu5Gz+IgB/sFrLWMAIIBJdDdxezXIlZ/MXAfiD1VrGAkYAkehq4PZqlis5m78IwB+s1jIWMAKIRFcDt1ezXMnZ/EUA/mC1lrGAEUAkuhq4vZrlSs7mLwLwB6u1jAWMACLR1cDt1SxXcjZ/EYA/WK1lLGAEEImuBm6vZrmSs/mLAPzBai1jASOASHQ1cHs1y5WczV8E4A9WaxkLGAFEoquB26tZruRs/iIAf7Bay1jACCASXQ3cXs1yJWfzFwH4g9VaxgJGAJHoauD2apYrOZu/CMAfrNYyFjACiERXA7dXs1zJ2fxFAP5gtZaxgBFAJLoauL2a5UrO5i8C8AertYwFjAAi0dXA7dUsV3I2fxGAP1itZSxgBBCJrgZur2a5krP5iwD8wWotYwEjgEh0NXB7NcuVnM1fBOAPVmsZCxgBRKKrgdurWa7kbP4iAH+wWstYwAggEl0N3F7NciVn8xcB+IPVWsYCRgCR6Grg9mqWKzmbvwjAH6zWMhYwAohEVwO3V7Ncydn8RQD+YLWWsYARQCS6Gri9muVKzuYvAvAHq7WMBYwAItHVwO3VLFdyNn8RgD9YrWUsYAQQia4Gbq9muZKz+YsA/MFqLWMBI4BIdDVwezXLlZzNXwTgD1ZrGQsYAUSiq4Hbq1mu5Gz+IgB/sFrLWMAIIBJdDdxezXIlZ/MXAfiD1VrGAkYAkehq4PZqlis5m78IwB+s1jIWMAKIRFcDt1ezXMnZ/K0uAEIIIXVSXQBFLLczXbGVx8BqzxksYF4BRKKrgdurWa7kbP4iAH+wWstYwAggEl0N3F7NciVn8xcB+IPVWsYCRgCR6Grg9mqWKzmbvwjAH6zWMhYwAohEVwO3V7Ncydn8RQD+YLWWsYARQCS6Gri9muVKzuYvAvAHq7WMBYwAItHVwO3VLFdyNn8RgD9YrWUsYAQQia4Gbq9muZKz+YsA/MFqLWMBI4BIdDVwezXLlZzNXwTgD1ZrGQsYAUSiq4Hbq1mu5Gz+IgB/sFrLWMAIIBJdDdxezXIlZ/MXAfiD1VrGAkYAkehq4PZqlis5m78IwB+s1jIWMAKIRFcDt1ezXMnZ/EUA/mC1lrGAEUAkuhq4vZrlSs7mLwLwB6u1jAWMACLR1cDt1SxXcjZ/EYA/WK1lLGAEEImuBl5YzZtNee7CSp6/ahoE4A9WaxkLGAFEoquBF1bzprwBllby/FXTIAB/sFrLWMAIIBJdDbywmhHADaumQQD+YLWWsYARQCS6GnhhNSOAG1ZNgwD8wWotYwEjgEh0NfDCakYAN6yaBgH4g9VaxgJGAJHoauCF1YwAblg1DQLwB6u1jAWMACLR1cALqxkB3LBqGgTgD1ZrGQsYAUSiq4GXVfMGAdywahoE4A9WaxkLGAFEoquBl1Xzw/gvboCFleywahoE4A9WaxkLGAFEoquBl1UzArhl1TQIwB+s1jIWMAKIRFcDL6tmBHDLqmkQgD9YrWUsYAQQia4GXlbNCOCWVdMgAH+wWstYwAggEl0NvKyaEcAtq6ZBAP5gtZaxgBFAJLoaeFk1I4BbVk2DAPzBai1jASOASHQ18KJq3g5/BDB51TQIwB+s1jIWMAKIRFcDL6pmBHDTqmkQgD9YrWUsYAQQia4GXlTNu+Ff2gDLKtlj1TQIwB+s1jIWMAKIRFcDL6pmBHDTqmkQgD9YrWUsYAQQia4GXlTNCOCmVdMgAH+wWstYwAggEl0NvKiaEcBNq6ZBAP5gtZaxgBFAJLoaeFE1I4CbVk2DAPzBai1jASOASHQ18JJq3o9+BDB11TQIwB+s1jIWMAKIRFcDL6lmBHDbqmkQgD9YrWUsYAQQia4GXlLNCOC2VdMgAH+wWstYwAggEl0NvKSaD6O/sAEWVbLLqmkQgD9YrWUsYAQQia4GXlLNCOC2VdMgAH+wWstYwAggEl0NvKSaEcBtq6ZBAP5gtZaxgBFAJLoaeEk1I4DbVk2DAPzBai1jASOASHQ18IJqPg5+BDBx1TQIwB+s1jIWMAKIRFcDL6hmBHDjqmkQgD9YrWUsYAQQia4GXlDNCODGVdMgAH+wWstYwAggEl0NvKCaT4O/rAGWVLLPqmkQgD9YrWUsYAQQia4GXlDNCODGVdMgAH+wWstYwAggEl0NvKCaEcCNq6ZBAP5gtZaxgBFAJLoaeEE1I4AbV02DAPzBai1jASOASHQ18HJqPo99BDBt1TQIwB+s1jIWMAKIRFcDL6dmBHDrqmkQgD9YrWUsYAQQia4GXk7NCODWVdMgAH+wWstYwAggEl0NvJyaEcCtq6ZBAP5gtZaxgBFAJLoaeDk1d8Z+UQMsqGSnVdMgAH+wWstYwAggEl0NvJyaEcCtq6ZBAP5gtZaxgBFAJLoaeDk1I4BbV02DAPzBai1jASOASHQ18GJq7g59BDBp1TQIwB+s1jIWMAKIRFcDL6ZmBHDzqmkQgD9YrWUsYAQQia4GXkzNCODmVdMgAH+wWstYwAggEl0NvJiaEcDNq6ZBAP5gtZaxgBFAJLoaeDE1I4CbV02DAPzBai1jASOASHQ18GJqToZ+SQMsp2SvVdMgAH+wWstYwAggEl0NvJiaEcDNq6ZBAP5gtZaxgBFAJLoaeCk1pyMfAUxZNQ0C8AertYwFjAAi0dXAS6kZAdy+ahoE4A9WaxkLGAFEoquBl1IzArh91TQIwB+s1jIWMAKIRFcDL6VmBHD7qmkQgD9YrWUsYAQQia4GXkrNCOD2VdMgAH+wWstYwAggEl0NvJSas5Ff0ACLKdlt1TQIwB+s1jIWMAKIRFcDL6VmBHD7qmkQgD9YrWUsYAQQia4GXkjN+cBHABNWTYMA/MFqLWMBI4BIdDXwQmpGADNWTYMA/MFqLWMBI4BIdDXwQmpGADNWTYMA/MFqLWMBI4BIdDXwQmpGADNWTYMA/MFqLWMBI4BIdDXwQmpGADNWTYMA/MFqLWMBI4BIdDXwQmpGADNWTYMA/MFqLWMBI4BIdDXwQmq+GPjlDLCUkv1WTYMA/MFqLWMBI4BIdDXwMmq+HPcIwL5qGgTgD1ZrGQsYAUSiq4GXUTMCmLNqGgTgD1ZrGQsYAUSiq4GXUTMCmLNqGgTgD1ZrGQsYAUSiq4GXUTMCmLNqGgTgD1ZrGQsYAUSiq4GXUTMCmLNqGgTgD1ZrGQsYAUSiq4GXUTMCmLNqGgTgD1ZrGQsYAUSiq4GXUTMCmLNqGgTgD1ZrGQsYAUSiq4EXUXPftC9mgGWU7LlqGgTgD1ZrGQsYAUSiq4EXUTMCmLVqGgTgD1ZrGQsYAUSiq4EXUTMCmLVqGgTgD1ZrGQsYAUSiq4EXUTMCmLVqGgTgD1ZrGQsYAUSiq4EXUTMCmLVqGgTgD1ZrGQsYAUSiq4EXUTMCmLVqGgTgD1ZrGQsYAUSiq4EXUTMCmLVqGgTgD1ZrGQsYAUSiq4GXUHPvrEcA5lXTIAB/sFrLWMAIIBJdDbyEmvtnfSkDLKJk11XTIAB/sFrLWMAIIBJdDbyEmhHAvFXTIAB/sFrLWMAIIBJdDbyEmhHAvFXTIAB/sFrLWMAIIBJdDbyEmhHAvFXTIAB/sFrLWMAIIBJdDbyEmhHAvFXTIAB/sFrLWMAIIBJdDbyEmhHAvFXT3CSAf/rTu7tXfvj2/sIXbz2+u5t4AQEUQlcDI4BIdDXwAmoemPQIwLrqfAH83d0ur/xie+HzN3YXvv3rCRcQQCl0NTACiERXAy+g5qFJX8gASyjZd9XZAvjg7pV/c3//6Zv7af707tW3txdefc9+AQGUQlcDI4BIdDXwAmpGADNXnSuAL968+7Pt/z88p3/4/08e7zTw+Rvb1wPGCwigGLoaGAFEoquBF1AzApi56lwBfP7G4TjO07sf39+/e/fd3YV3J1xAAMXQ1cAIIBJdDbyAmhHAzFXnCuCUnQCe7l8O3H+wnfDGCwigGLoaGAFEoquBF1AzApi5qpcAdodzvnjzcEznk8evvme8sL/57x9yM58Q0l42AyNr6Ofkam5/1HZHdRAAISQug3MeAdyUmx+1D3angXYm+7d/bbyQrlPkZc7upU6xlcfAai8aLWAOAUWiq4Hr1zx4pIdDQMZVfQTwweNXtkf1b38FgABKoKuBEUAkuhq4fs3Dc76MARZQsvOqLgJ49/AxMATQA1ZrGQsYAUSiq4Hr14wA5q7qIYC/uzuez89ZQJdgtZaxgBFAJLoauH7NCGDuqvMF8MXTu+8cj+QfT+w/nO1vuoAAiqGrgRFAJLoauH7NCGDuqvMF8LTzhQ58EvgSrNYyFjACiERXA9evGQHMXXW2AN7tfqHPF2/efef0JT/GCwigGLoaGAFEoquBq9d8ZcojANuqcwVw+F7PbbbH8z/tfs2n8QICKIWuBkYAkehq4Oo1I4DZq84VwAd3iQDuP33r4b9+eHhib7yAAAqhq4ERQCS6Grh6zQhg9qpzBeCcIkXuCi228hhYrWUsYAQQia4Grl7ztSlfxAD1S/ZeNQ0C8AertYwFjAAi0dXA1WtGALNXTYMA/MFqLWMBI4BIdDVw9ZoRwOxV0yAAf7Bay1jACCASXQ1cvWYEMHvVNAjAH6zWMhYwAohEVwPXrvnqjEcAplXTIAB/sFrLWMAIIBJdDVy7ZgQwf9U0CMAfrNYyFjACiERXA9euGQHMXzUNAvAHq7WMBYwAItHVwLVrvj7jSxigesnuq6ZBAP5gtZaxgBFAJLoauHbNCGD+qmkQgD9YrWUsYAQQia4Grl0zApi/ahoE4A9WaxkLGAFEoquBa9eMAOavmgYB+IPVWsYCRgCR6GrgyjWPTHgEYFk1DQLwB6u1jAWMACLR1cAIIDAIYF6hxVYeA6u1jAWMACLR1cAIIDAIYF6hxVYeA6u1jAWMACLR1cAIIDAIYF6hxVYeA6u1jAWMACLR1cDLFkAJA9Qu2X/VNAjAH6zWMhYwAohEVwMjgMAggHmFFlt5DKzWMhYwAohEVwMjgMAggHmFFlt5DKzWMhYwAohEVwPXrXl0viMAw6ppEIA/WK1lLGAEEImuBkYAgUEA8wottvIYWK1lLGAEEImuBkYAgUEA8wottvIYWK1lLGAEEImuBkYAgUEA8wottvIYWK1lLGAEEImuBkYAgUEA8wottvIYWK1lLGAEEImuBl64AAoYQG6bs/mLAPzBai1jASOASHQ1MAIIDAKYV2ixlcfAai1jASOASHQ1cNWaDdMdAYyvmgYB+IPVWsYCRgCR6GpgBBAYBDCv0GIrj4HVWsYCRgCR6GpgBBAYBDCv0GIrj4HVWsYCRgCR6GpgBBAYBDCv0GIrj4HVWsYCRgCR6GpgBBAYBDCv0GIrj4HVWsYCRgCR6GpgBBAYBDCv0GIrj4HVWsYCRgCR6GrgpQvA3wBy25zNXwTgD1ZrGQsYAUSiq4Fr1mya7QhgdNU0CMAfrNYyFjACiERXAyOAwCCAeYUWW3kMrNYyFjACiERXAyOAwCCAeYUWW3kMrNYyFjACiERXAyOAwCCAeYUWW3kMrNYyFjACiERXAyOAwCCAeYUWW3kMrNYyFjACiERXAyOAwCCAeYUWW3kMrNYyFjACiElynjYAACAASURBVERXAy9eAO4GkNvmbP4iAH+wWstYwAggEl0NXLFm42RHAGOrpkEA/mC1lrGAEUAkuhoYAQQGAcwrtNjKY2C1lrGAEUAkuhp49QKYrAe5bc7mLwLwB6u1jAWMACLR1cBrF8Bm8gsEuW3O5i8C8AertYwFjAAi0dXAqxfA5JcActuczV8E4A9WaxkLGAFEoquBVy6Ah3+c+hJAbpuz+YsA/MFqLWMBI4BIdDXwugWw+zcEkAQB+IPVWsYCRgCR6GrgejWbn7lfueJm0kL7yG1zNn8RgD9YrWUsYAQQia4GXrUADv+CALpBAP5gtZaxgBFAJLoaeN0CmLjSLnLbnM1fBOAPVmsZCxgBRKKrgdcsgNM/IIBOEIA/WK1lLGAEEImuBl6xAM4/n/QSQG6bs/mLAPzBai1jASOASHQ18JoF0Pufo5Hb5mz+IgB/sFrLWMAIIBJdDbxeAXR/POUlgNw2Z/MXAfiD1VrGAkYAkehq4Gpk+8weEsDgheuR2+Zs/iIAf7Bay1jACCASXQ28AgH0XzX94YTV5LY5m78IwB+s1jIWMAKIRFcDr1cAVy9eidw2Z/MXAfiD1VrGAkYAkehq4LUKIP+ZfTm5bc7mLwLwB6u1jAWMACLR1cArFcDljxDAIQjAH6zWMhYwAohEVwOvVQC3rye3zdn8RQD+YLWWsYARQCS6GnidAug9KGRcTW6bs/mLAPzBai1jASOASHQ1cC3yZmMn2473WI0it83Z/EUA/mC1lrGAEUAkuhp4DQIwvuOLAHZBAP5gtZaxgBFAJLoaeI0CMHw0+ErktjmbvwjAH6zWMhYwAohEVwOvUgBDVzMtJrfN2fxFAP5gtZaxgBFAJLoaeIUCGP966KuR2+Zs/iIAf7Bay1jACCASXQ28RgEMX8+ymNw2Z/MXAfiD1VrGAkYAkehq4Erkh5F+qwDG/kTwWOS2OZu/CMAfrNYyFjACiERXA69QAMbrDUVum7P5iwD8wWotYwEjgEh0NfDqBHB1yCMABFACrNYyFjACiERXA69CAOa//mh5CSC3zdn8RQD+YLWWsYARQCS6Gnh1Ahi54vhactuczV8E4A9WaxkLGAFEoquBVyaAsaf4hpcActuczV8E4A9WaxkLGAFEoquB1yaA0WuOriW3zdn8RQD+YLWWsYARQCS6GnhdAhh/gj9+DbltzuYvAvAHq7WMBYwAItHVwCsTgOGqY1eQ2+Zs/iIAf7Bay1jACCASXQ1ch7wd6DcIwHKSz+h15LY5m78IwB+s1jIWMAKIRFcDr0kAtu/6QQCVU6TIXaHFVh4Dq7WMBYwAItHVwOsQwH72277tc0wTctuczV8E4A9WaxkLGAFEoquBVyQA65/8QgB1U6TIXaHFVh4Dq7WMBYwAItHVwGsSwITrXoncNmfzFwH4g9VaxgJGAJHoauD1CMD+V+QRQNUUKXJXaLGVx8BqLWMBI4BIdDXwagRgn/8jqpDb5mz+IgB/sFrLWMAIIBJdDbweAUy59rV/lNvmbP4iAH+wWstYwAggEl0NrCmAa1eW2+Zs/iIAf7Bay1jACCASXQ1chbwb0NNPA51w9Sv/JrfN2fxFAP5gtZaxgBFAJLoaeCUCuAUwELltzuYvAvAHq7WMBYwAItHVwJoCuPYSQG6bs/mLAPzBai1jASOASHQ1sKoAhg0gt83Z/EUA/mC1lrGAEUAkuhpYVABXXgLIbXM2fxGAP1itZSxgBBCJrgaWFcCgAeS2OZu/CMAfrNYyFjACiERXA6sKYNgActuczV8E4A9WaxkLGAFEoquBhQUwYAC5bc7mLwLwB6u1jAWMACLR1cCyAhh8CSC3zdn8RQD+YLWWsYARQCS6GrgGeT+ai5MHDCC3zdn8RQD+YLWWsYARQCS6GlhaAL0GkNvmbP4iAH+wWstYwAggEl0NLCyAAQPIbXM2f6sLgBBChrOJmlGbMNKCUr3kIpbbma7YymNgtecMFjCvACLR1cDKrwD6XwPIbXM2fxGAP1itZSxgBBCJrgbWFkDfG8Fy25zNXwTgD1ZrGQsYAUSiq4HFBdBjALltzuYvAvAHq7WMBYwAItHVwPoCyA0gt83Z/EUA/mC1lrGAEUAkuhpYXQCXBpDb5mz+IgB/sFrLWMAIIBJdDVyBfJjIUeTcAHLbnM1fBOAPVmsZCxgBRKKrgfUFkBtAbpuz+YsA/MFqLWMBI4BIdDVwAwJ4jgBCU6TIXaHFVh4Dq7WMBYwAItHVwC0IIDWA3DZn8xcB+IPVWsYCRgCR6GrgRgTQMYDcNmfzFwH4g9VaxgJGAJHoauAmBJAYQG6bs/mLAPzBai1jASOASHQ1cBsC6Bqgv+TN4B+QcQwCmFdosZXHwEyGSHI1MNsckhoC6Bigp+TNIaXvBAKYV2ixlcfATIZIcjUw2xySKgJ4PiyA4/AvbwAEMK/QYiuPgZkMkeRqYLY5IscxG00+ce+zH58Gf3EDIIB5hRZbeQzMZIgkVwOzzRGpJ4DDK4/79IedqV/aAAhgXqHFVh4DMxkiydXAbHNEagngON7PJV8e+C9sAAQwr9BiK4+BmQyR5Gpgtjki1QRwGO/Hknvf9y1rAAQwr9BiK4+BmQyR5Gpgtjki9QSwH+/7kofO+ilqAAQwr9BiK4+BmQyR5GpgtjkiFQXw/CiAKyd9ljQAAphXaLGVx8BMhkhyNTDbHJGaAtjC70fO+S9oAAQwr9BiK4+BmQyR5GpgtjkilQUw/pGvcgZAAPMKLbbyGJjJEEmuBmabI1JVAKavfCj2oWAEMK/QYiuPgZkMkeRqYLY5IOdP5EaTj9xxcCkDIIB5hRZbeQzMZIgkVwOzzQFZgwBKHQZCAPMKLbbyGJjJEEmuBmabA7IOAZQxAAKYV2ixlcfATIZIcjUw2xyQlQigiAEQwLxCi608BmYyRJKrgdnmgKxFACUMgADmFVps5TEwkyGSXA3MNgdkNQIoYAAEMK/QYiuPgZkMkeRqYLY5IOsRgL8BEMC8QoutPAZmMkSSq4HZ5oCsSADuBkAA8wottvIYmMkQSa4GZpsDsiYBeBsAAcwrtNjKY2AmQyS5GphtLp/OH2cPJp+4U8C+BkAA8wottvIYmMkQSa4GZpvLZ2UC8DUAAphXaLGVx8BMhkhyNTDbXD5rE8BzBDA1RYrcFVps5TEwkyGSXA3MNpfP6gTgaQAEMK/QYiuPgZkMkeRqYLa5fNYnAEcDIIB5hRZbeQzMZIgkVwOzzeWzQgE8RwCTUqTIXaHFVh4DMxkiydXAbHP5rFIAXgZAAPMKLbbyGJjJEEmuBmaby2eNAnAzAAKYV2ixlcfATIZIcjUw21w+qxSAlwEQwLxCi608BmYyRJKrgdnm4ulM0jUJwOltAAQwr9BiK4+BmQyR5Gpgtrl4VisAFwMggHmFFlt5DMxkiCRXA7PNxbNWAfgYAAHMK7TYymNgJkMkuRqYbS6e1QrA5SAQAphXaLGVx8BMhkhyNTDbXDwrFoCDARDAvEKLrTwGZjJEkquB2ebiWa8APAyAAOYVWmzlMTCTIZJcDcw2F8+KBeBgAAQwr9BiK4+BmQyR5Gpgtrl41iyA+W8DIIB5hRZbeQzMZIgkVwOzzcWzbgHMNQACmFdosZXHwEyGSHI1MNtcOt0Ruj4BzDYAAphXaLGVx8BMhkhyNTDbXDorF8Dcg0AIYF6hxVYeAzMZIsnVwGxz6axeAPMMgADmFVps5TEwkyGSXA3MNpfO2gUw0wAIYF6hxVYeAzMZIsnVwGxz6axeAPMOAiGAeYUWW3kMzGSIJFcDs82lIyCAOQZAAPMKLbbyGJjJEEmuBmabS2f9AphlAAQwr9BiK4+BmQyR5Gpgtrl0BAQwxwAIYF6hxVYeAzMZIsnVwGxz6SgIYMbbAAhgXqHFVh4DMxkiydXAbHPhJE+e1yuAmw2AAOYVWmzlMTCTIZJcDdzcNm+2CeV1LqxWALcbAAHMK7TYymPg5iYDAghG18FuDonjdS6sVwA3HwRCAPMKLbbyGLi5yYAAgtF1sJuHYRHpABkB3PhwIYB5hRZbeQzc3GRAAMHoOtitAJ6fXghE8DoXViyAWw2AAOYVWmzlMXBzkwEBBKPrYA8CeB7lABkB3GgABDCv0GIrj4GbmwwIIBhdB3sWwPMQB+gI4La3ARDAvEKLrTwGbm4yIIBgdB1sIoDn5R2gJIBbHiUEMK/QYiuPgZubDAggGF2F+jDELmou6gAhAdxkAAQwr9BiK4+BW5sMzxFAMLoKtU8Azwt+OiBddeUCuOUgEAKYV2ixlcfArU2G5wggGF2FOiCA5w5//daw6uoFMP0xQgDzCi228hi4tcnwHAEEo6tQEcCsTH+QEMC8QoutPAZubTI8RwDB6CrUawIoYQAxAUw/CIQA5hVabOUxcGuT4TkCCEZXoQ4LoMxLADkBTH2QEMC8QoutPAZubTI8RwDB6BrQ7fxCAHMy9VFCAPMKLbbyGLixybADI4BIdA3odQEUMICcAKYeBEIA8wottvIYuLHJsAMjgEh0Deg1ARR5CSAogGmPEgKYV2ixlcfAjU2GHRgBRKJrQBHA/CCAyxQpcldosZXHwI1Nhh0YAUSia0BHBOBugGxFDQFMepQQwLxCi608Bm5sMuzACCASXQN6VQAFXgIoCmDaw4QA5hVabOUxcGOTYQdGAJHoCszd6EIAc4MA8hQpcldosZXHwG1Nhj0YAUSiKzARgEumPE4IYF6hxVYeA7c1GfZgBBCJrsAcFYC3ATQFMMUACGBeocVWHgO3NRn2YAQQia7AHBGA/0sAUQFMOAiEAOYVWmzlMXBbk2EPRgCR6ApMBOAU+wOFAOYVWmzlMXBbk2EPRgCR6ArMcQE4G0BVAHYDIIB5hRZbeQzc1mTYgxFAJDoeuZ9a12pGANYggG6KFLkrtNjKY+CmJsMBjAAi0fHIcAHkyykJwPhIIYB5hRZbeQzc1GQ4gBFAJDoeaRGAqwGEBWB9CYAA5hVabOUxcFOT4QBGAJHoeOS4AJxfAkgLwPZIIYB5hRZbeQzc1GQ4gBFAJDoeiQA8Y3uoEMC8QoutPAZuajIcwAggEh2PNAnA0wDSArAdBEIA8wottvIYuKnJcAAjgEh0OPEwjq/XjADMMT1UCGBeocVWHgO3NBmOYAQQiQ4nIgDnWB4rBDCv0GIrj4FbmgxHMAKIRIcTjQJwNIC4ACwHgRDAvEKLrTwGbmkyHMEIIBIdTjQJwPUlgLwAxh8rBDCv0GIrj4FbmgxHMAKIRIcTwwVwsZSaAAwPFgKYV2ixlcfALU2GIxgBRKLDiVYBuBlAXwDjB4EQwLxCi608Bm5pMhzBCCASHQ08juOxmhHAhIw+WIsWwOdvfPf4H3e7fPvX20tfvPX47u6Hb+//afgCAiiErgZGAJHoaCACKJGxR2vRAnh6dxDAJ487AjjYYC+D4QsIoBS6GhgBRKKjgQigSNYrgC+e3h0F8MHxP/ZaePXt+0/fvHv1vasXEEApdDUwAohERwPtAvAyQBsCuP5oLVcA//STu5MAnt79+PTzTx4fXge88otrFxBAMXQ1MAKIREcDrQLwewnQhABGXgIsVgDv3t396B8PAvjizc5If/fww3e3Uhi+gACKoauBEUAkOhqIAMrk+sO1XAF85z+cjvx8/sar/+nh9cCf7N7dfXr3Z7sf7v5x+AICKIauBkYAkeho4AQBOBmgDQFcN8BiBdCd5Mf3gLcD/vRq4JPHr743fGG/wO8fciOfEBKUjX1KTLhqwDLLT/U65wrgg7u7H713/1/funuY8AiAEMEggGKpXuhcARwP7m/fC+6M+W//evhCulCRlzm7lzrFVh4DN3Rs4ATmEFAkOph3OlAxXrPTMaDLVTQPAV09CLSKQ0Dny9ee9Pe8AkAAJdDVwAggEh3MmyAAp7eB2xHAlQdsVQLInucjgDroamAEEIkO5iGAghl+zbQyATxMds4C2oHbmQxnMAKIRAfzpgnAwwANCWD4EVuDAL54szvZj2f5H079H7qAAIqhq4ERQCQ6FnceUJaaEcDUDBlgDQI4fifQXgR8EngHbmYydMAIIBIdi0MAhTNggFUI4JPH29NAP/3J7kt+HjTwndM3/gxfQADF0NXACCASHYubKgAHA7QlgIHHbBUC2H4vxO5rPncfBf60+52fwxcQQCl0NTACiETH4qYJwOMlQM8S0gLoN8A6BHD/6Z/e3b3yo8MT+0/fepjyPxy9gAAKoauBEUAkOhaHAMqnzwCLFoBbihS5K7TYymPgZiZDB4wAItGxuMkCmG2A9gTQ96ghgHmFFlt5DNzMZOiAEUAkOpTWmUy2mhHALbk0AAKYV2ixlcfArUyGLhgBRKJDaQggJhcGQADzCi228hi4lcnQBSOASHQoDQEEJTcAAphXaLGVx8CtTIYuGAFEokNpNwhgrgHaFED+wCGAeYUWW3kM3Mpk6IIRQCQ6lDZZAPNfAjQqgMwACGBeocVWHgO3Mhm6YAQQiQ6lIYC4JAZAAPMKLbbyGLiVydAFI4BIdCQsGUlWAcwzQNynosYTvM3dhw4BzCu02Mpj4EYmQwJGAJHoSNgNApj7EqBhAXQNgADmFVps5TFwI5MhASOASHQkDAHE5mwABDCv0GIrj4EbmQwJGAFEoiNhtwlglgGaFsD5wUMA8wottvIYuJHJkIARQCQ6EnaLAGa+BGhbACcDIIB5hRZbeQzcyGRIwAggEh0JQwDhORgAAcwrtNjKY+BGJkMCRgCR6EBWema6XQBzDNC6AA4P3/3FD3eZuXY2fxGAP7iNyZCCEUAkOpB1mwDmvQRoXgB7A9yf/jvJzKWz+YsA/MFtTIYUjAAi0YEsBFAFm099l7+ztks2fxGAP7iNyZCCEUAkOpB1swBuH1iBfx9xPLW22X3wH5PNXwTgD25jMqRgBBCJDmTdKIA5LwEQwAFdZtU0CMAfrNYyFjACiEQHshBAJTACmFtosZXHwGotYwEjgEh0HCr7guIpArjZAAjggC6zahoE4A9WaxkLGAFEouNQNwtgxksABHBAl1k1DQLwB6u1jAWMACLRcSgEoLbN2fxFAP5gtZaxgBFAJDoOhQDUtjmbvwjAH6zWMhYwAohEx6HmCOBWAyCAA7rMqmkQgD9YrWUsYAQQiY5D3S6A218CIIADusyqaRCAP1itZSxgBBCJjkNVEED/7RCA16ppEIA/WK1lLGAEEIkOI2XDeKIAbjMAAjiiy6yaBgH4g9VaxgJGAJHoMNIcAdz6EgABHNFlVk2DAPzBai1jASOASHQYCQHIbXM2fxGAP1itZSxgBBCJDiPNFMBNBkAAR3SZVdMgAH+wWstYwAggEh1GmiWAG18CIIAjusyqaRCAP1itZSxgBBCJDiMhALltzuYvAvAHq7WMBYwAItFRoHwWI4BQdJlV0yAAf7Bay1jACCASHQWaKYDbDIAAjugyq6ZBAP5gtZaxgBFAJDoKNFcAtxhg4CYIwGvVNAjAH6zWMhYwAohER4FmC+A5ApiBLrNqGgTgD1ZrGQsYAUSio0AOAphsAARwQpdZNQ0C8AertYwFjAAi0VGg+QKYbgAEcEKXWTUNAvAHq7WMBYwAItFBnItZfEvNCOBmdJlV0yAAf7Bay1jACCASHcTxEcBEAyCAE7rMqmkQgD9YrWUsYAQQiQ7iuAhgqgEQwAldZtU0CMAfrNYyFjACiEQHcXwEMPEgEAI4ocusmgYB+IPVWsYCRgCR6CCOlwAmGQABnNBlVk2DAPzBai1jASOASHQQx0kAk14CDNkCAXitmgYB+IPVWsYCRgCR6BjM5Sy+VQATDIAAzugyq6ZBAP5gtZaxgBFAJDoG4yaAKQZAAGd0mVXTIAB/sFrLWMAIIBIdg/ETwISDQAjgjC6zahoE4A9WaxkLGAFEomMwngIwGwABnNFlVk2DAPzBai1jASOASHQMxlEAdgMggDO6zKppEIA/WK1lLGAEEImOwXgKwHwQCAGc0WVWTYMA/MFqLWMBI4BIdAilZxTPEYDRAAjgjC6zahoE4A9WaxkLGAFEokMovgKwGgABnNFlVk2DAPzBai1jASOASHQIxVkAtoNAg5pAAF6rpkEA/mC1lrGAEUAkOoTiLgCLARBAB11m1TQIwB+s1jIWMAKIRIdQvAVgMgAC6KDLrJoGAfiD1VrGAkYAkegQirsALAeBEEAHXWbVNAjAH6zWMhYwAohER0D6RvFcAYwbAAF00GVWTYMA/MFqLWMBI4BIdASkgAAMBkAAHXSZVdMgAH+wWstYwAggEh0BKSGA8YNACKCDLrNqGgTgD1ZrGQsYAUSiIyBlBDBmAATQQZdZNQ0C8AertYwFjAAi0RGQIgIYfQmAADroMqumQQD+YLWWsYARQCQ6AlJIANcNMPzPCMBr1TQIwB+s1jIWMAKIREdAyghgxAAIoIsus2oaBOAPVmsZCxgBRKIDGL2j2KNmBGBGl1k1DQLwB6u1jAWMACLRAYxyArhmAATQRZdZNQ0C8AertYwFjAAi0QGMYgK4agAE0EWXWTUNAvAHq7WMBYwAItEBjHICuHYQCAF00WVWTYMA/MFqLWMBI4BIdACjpACGDYAAuugyq6ZBAP5gtZaxgBFAJDqAUVAAV8Y8Auiiy6yaBgH4g9VaxgJGAJHo8oj+SexV82YzMOkRQBddZtU0CMAfrNYyFjACiESXR5QXQB/hysEhBOC1ahoE4A9WaxkLGAFEossjygrg+YADEECCLrNqGgTgD1ZrGQsYAUSiyyOKC+CogE36o8FrIwCvVdMgAH+wWstYwAggEl0eESCA55cvAxBAgi6zahoE4A9WaxkLGAFEossjYgTwPHMAAkjQZVZNgwD8wWotYwEjgEh0ccLAJC5Sc+dQEAJI0GVWTYMA/MFqLWMBI4BIdHFCpACen18GIIAEXWbVNAjAH6zWMhYwAohEFycEC+B571vCKboY+XrktjmbvwjAH6zWMhYwAohEFyfEC+DKp8P26ILka5Hb5mz+IgB/sFrLWMAIIBJdnFBDANeDALxWTYMA/MFqLWMBI4BIdHECAjhx1UrO5i8C8AertYwFjAAi0aUBQ8dilGse4qqVnM1fBOAPVmsZCxgBRKJLAxDAmatWcjZ/EYA/WK1lLGAEEIkuDUAAZ65aydn8RQD+YLWWsYARQCS6NAABnLlqJWfzFwH4g9VaxgJGAJHo0gAEcOaqlZzNXwTgD1ZrGQsYAUSiSwMQwJmrVnI2fxGAP1itZSxgBBCJLrz+4AeyhGse5KqVnM1fBOAPVmsZCxgBRKILr48AOly1krP5iwD8wWotYwEjgEh04fURQIerVnI2fxGAP1itZSxgBBCJLrw+Auhw1UrO5i8C8AertYwFjAAi0YXXRwAdrlrJ2fxFAP5gtZaxgBFAJLrw+gigw1UrOZu/CMAfrNYyFjACiESXXX74W5l1ax7mqpWczV8E4A9WaxkLGAFEossujwC6XLWSs/mLAPzBai1jASOASHTZ5RFAl6tWcjZ/qwuAELKobBgK7aR3r1/8wz90LvyXv/6P75S7A0UstzNdsZXHwGrPGSxgXgFEossuzyuALlet5HEBfPi97V/n/MavDhc/e23ze3+LACaA1VrGAkYAkeiyyyOALlet5FEBvL/Z56V/hQBuA6u1jAWMACLRRVe/8qfZZWu+wlUreUwAHz7abF7+93/9s4f/+yYCuAms1jIWMAKIRBddHQEkXLWSxwTwZLP58vaQ/0c/3Wy+hQBuAau1jAWMACLRRVdHAAlXreQRAbx4mPuvJ/+FAKaC1VrGAkYAkeiSi28QQMJVK3lEAJ1x/9n3Ni/9HAFMB6u1jAWMACLRJRe/Mv9la77GVSvZLoDDfyOAqWC1lrGAEUAkuuTiCCDlqpU8IoAXP9097d/n/e37AQhgKlitZSxgBBCJLrj2tSNAqjVf5aqVPCKA7ZvA3zpdeLbZfAUBTAWrtYwFjAAi0QXXvjb/VWu+ylUreUwAD8/6zy8Btjr4g0cIYBpYrWUsYAQQiS64NgLIuGoljwlgO/M7E/+Xm+QiAjCA1VrGAkYAkehyS189AiRa83WuWsmjAnjxy2Ti/+dHCGAiWK1lLGAEEIkut/TV+S9a83WuWsmjAri///iv/vvOxP/4lwhgGlitZSxgBBCJLrc0Asi5aiUbBBCaIkXuCi228hhYrWUsYAQQiS628vUjQJo1j3DVSs7mLwLwB6u1jAWMACLRxVa+Pv81ax7hqpWczd8RAWz/GECx2b9LkSJ3hRZbeQys1jIWMAKIRBdbGQFccNVKzubvoAA++t/e2X0bxGbz8s+HroMAesFqLWMBI4BIdKmFR44ASdY8xlUr2SiAZ7t3fp9sSp8FigBc0dXACCASXWrhkfkvWfMYV61kmwDe3439Dx9tvvzOR691PhqMAAxgtZaxgBFAJLrUwgjgkqtWsk0AT3Z/FOD93YeC39//gQAEYAWrtYwFjAAi0YXWHTsCpFjzKFetZJMAXvx093UQew189hqfA5gEVmsZCxgBRKILrTs2/xVrHuWqlWwSwH7mf/ba5iv3CGAyWK1lLGAEEIkutC4C6OGqlTxBAB8+OvxJMAQwCazWMhYwAohEF1oXAfRw1Uo2CWB/COjZ/ntBeQ9gIlitZSxgBBCJLrPs6FsAgjWPc9VKNgng/snmK9vTf7aTn7OApoLVWsYCRgCR6DLLjs5/wZrHuWol2wTw/u4DAJvX71/8LPn7AAjAAFZrGQsYAUSiyyyLAPq4aiXbBLD9W2Cb7VvAn722een1gvMfAbiiq4ERQCS6yKrjR4D0ajZw1Uo2CuD+oz//w794+L/P/vk3flVy/iMAV3Q1MAKIRBdZdXz+69Vs4KqVbBVAVIoUuSu02MpjYLWWsYARQCS6yKoIoJerVnI2f68K4MXvCk7+Q4oUuSu02MpjYLWWsYARQCS6xKKGI0ByNVu4evYyfwAAIABJREFUaiVn83dYAL/5/vb7gD77539c8BxQBOCMrgZGAJHoEosa5r9czRauWslGAbw4/DX4z17bvFzyy0ARgCu6GhgBRKJLLIoA+rlqJRsF8GSzefl/fPR7f/vif90U/RwYAnBFVwMjgEh0gTUtR4DUajZx1Uq2CeD9zeYHh++A+Pv9F0IgADNYrWUsYAQQiS6wpmX+q9Vs4qqVbBPAk+2nfw9fAvRs95VwCMAMVmsZCxgBRKILrIkABrhqJZsEsP8uoIMAPnzEl8FNAqu1jAWMACLR/kuajgCJ1WzjqpVsEsDx66B3k59vA50IVmsZCxgBRKL9lzTNf7GabVy1khFA6ci1jAWMACLR/ksigCGuWskmAbz46faN38Pk5+ugJ4LVWsYCRgCRaPcVbUeAtGo2ctVKNglg/8bvXgAPMuBN4ElgtZaxgBFAJNp9Rdv816rZyFUr2SaADx9tvvnOTgAffY+vg54IVmsZCxgBRKLdV0QAg1y1km0C2H0d9NcevfQHX334/5J/DwYBuKKrgRFAJNp7QeMRIKmarVy1ko0CuP/PjzaHFJ3/CMAVXQ2MACLR3gsa579UzVauWslWAdx//Fdfe5j+Xyr85wAQgCu6GhgBRKK9F0QAw1y1ks0CCEqRIneFFlt5DKzWMhYwAohEO69nPQKkVLOZq1ZyNn8RgD9YrWUsYAQQiXZezzr/lWo2c9VKzuZvLoAXf/4vL/OHfA5gClitZSxgBBCJdl4PAVzhqpU8IoDPXttchk8CTwKrtYwFjAAi0b7LmY8ACdVs56qVjABKR65lLGAEEIn2Xc48/4VqtnPVSh4RQHiKFLkrtNjKY2C1lrGAEUAk2nc5BHCNq1ZyNn8RgD9YrWUsYAQQiXZdzX4ESKfmCVy1krP5iwD8wWotYwEjgEi062r2+a9T8wSuWsnZ/OUsIH+wWstYwAggEu26GgK4ylUreUQAvAk8H6zWMhYwAohEey424QiQTM1TuGolI4DSkWsZCxgBRKI9F5sw/2VqnsJVK3lEAOEpUuSu0GIrj4HVWsYCRgCRaM/FEMB1rlrJ2fxFAP5gtZaxgBFAJNpxrSlHgFRqnsRVKzmbvwjAH6zWMhYwAohEO641Zf6r1DyJq1ZyNn8HBPDxP3TzOwQwBazWMhYwAohEO66FAEa4aiWbBJC9FcybwJPAai1jASOASLTjWghghKtWMgIoHbmWsYARQCTab6lJbwGI1DyNq1aySQAv/stfH/Lvvrd56d//Rz4INgWs1jIWMAKIRPstNWn+i9Q8jatWskkA3Xz46MsF5z8CcEVXAyOASLTfUghgjKtWcjZ/DWcBPSv6Z+GLFLkrtNjKY2C1lrGAEUAk2m2laUeANGqeyFUrOZu/BgGUfQlQpMhdocVWHgOrtYwFjAAi0W4rTZv/GjVP5KqVnM1fgwA+e403gSeB1VrGAkYAkWi3lRDAKFet5Gz+ml4BIIBJYLWWsYARQCTaa6GJR4Akap7KVSs5m7/jAnjxZMMhoElgtZaxgBFAJNproYnzX6LmqVy1krP5O3Aa6PmvAvwPjza8CTwNrNYyFjACiER7LYQAxrlqJZsEkH4QjNNAp4HVWsYCRgCRaKd1ph4BUqh5Mlet5MkC+NIfl5z/CMAVXQ2MACLRTutMnf8KNU/mqpVsEkBgihS5K7TYymNgtZaxgBFAJNppHQRg4KqVnM1fBOAPVmsZCxgBRKJ9lpl8BEig5ulctZKz+YsA/MFqLWMBI4BItM8yk+e/QM3TuWolZ/N3SAAvfvvXf/3X/1D06P8+RYrcFVps5TGwWstYwAggEu2zDAKwcNVKzuZvrwA++tmjwzvAL/1xyT8GgwC80dXACCAS7bLK9CNA66/5Bq5ayeMCePHL5I8B/LOyLwOKFLkrtNjKY2C1lrGAEUAk2mORG+b/6mu+hatW8qgAXvx0d/Ln8UNghT8GgABc0dXACCAS7bDGLfN/7TXfxFUreVQATx5a4xvHAz8f/ezh0lcQwCSwWstYwAggEj1/iZvm/8prvo2rVvKYAD7Mvvrh2Wbz0s8RwBSwWstYwAggEj17hdvm/7prvpGrVvKYAJ7kz/if8F1AE8FqLWMBI4BI9NwFbpz/q675Vq5aySMC2L4D8Hryk/fLvgtQpMhdocVWHgOrtYwFjAAi0TNvf+v8X3PNN3PVSh4RwGev5Ud8PnyEAKaB1VrGAkYAkeh5N795/q+45tu5aiWPCyD78y+XP0EA18FqLWMBI4BI9Kxb3z7/11vzDK5ayQigdORaxgJGAJHoOTeeMf9XW/McrlrJCKB05FrGAkYAkegZt50z/9da8yyuWskIoHTkWsYCRgCR6NtvOmv+r7TmeVy1khFA6ci1jAWMACLRt9901vxfac3zuGolI4DSkWsZCxgBRKJvvuW8+b/Ommdy1UoeF8BlEMAksFrLWMAIIBJ96w3nHQBaZ81zuWolI4DSkWsZCxgBRKJvvN3c+b/Gmmdz1UoeEcCLP/+Xl/lDPgg2BazWMhYwAohE33az2fN/hTXP56qVPCKA8BQpcldosZXHwGotYwEjgEj0TbeaP//XV7MDV63kbP4iAH+wWstYwAggEn3LjRzm/+pq9uCqlZzNXwTgD1ZrGQsYAUSib7iNx/xfW80uXLWSs/mLAPzBai1jASOASPT0m7jM/5XV7MNVKzmbvwjAH6zWMhYwAohET76Fz/xfV81OXLWSs/l7qwA+f+O7h//64q3Hd3c/fHvSBQRQCF0NjAAi0VNv4DT/V1WzF1etZCcBPL377tEEd9t8+9cTLiCAUuhqYAQQiZ54fa/5v6aa3bhqJbsI4Iund0cBPL179e37T9+8e/U9+wUEUApdDYwAItHTru42/1dUsx9XrWQPAfzTT+6OAvjk8e5J/edvvPIL8wUEUAxdDYwAItGTru03/9dTsyNXrWQHAbx7d/ejfzwI4N3T///YfAEBFENXAyOASPSE624c5/9aanblqpXsIYDv/If7Dw4T/endn+3+f3fZeAEBFENXAyOASLT9qq7zfyU1+3LVSnYQQGeSf/Hm4ZjOJ49ffc94Yb/A7x9yI58QMpqH8V/7LpBFBwEQIpoN85+MxE8A3/618UK6UJGXObuXOsVWHgOrvWi0gNd+CGj6kZLlb7Pv4Z8dePE1+3PVSi4mgImvABBACXQ1MAIIjI3sPv5XUHMBrlrJCKB05FrGAhYQwMRxufBt9n/6/3zxNRfhqpXsKwDOAuoBq7WMBbxyAWzUBFBk/i+85jJctZKdBXA8sf9wtr/pAgIohq4GXr0AJv+99EVvc5Hxv/CaC3HVSnYWAJ8EvgSrtYwFvG4BbHYCmDYzl7zNheb/omsuxVUr2VkAX7x5953Tl/wYLyCAYuhq4LUL4Pg/E8CL3eYyh3924MXWXI6rVrKzAO4/7X7Np/ECAiiFrgaWEMCksbnYbS43/5dbc0GuWsneArj/9K2Hwf7D9yZdQACF0NXAqxbAYWJqCKDc+F9uzSW5aiU7CcAtRYrcFVps5TGwWstYwCsXQPf/rOBFbnPBp//Pl1pzWa5aydn8RQD+YLWWsYA1BDBldi5ym8vO/2XWXJirVnI2fxGAP1itZSzgNQvgNDRXL4Cy43+ZNZfmqpWczV8E4A9WaxkLeN0COP3HhPm5vG0u/PT/+RJrLs9VKzmbvwjAH6zWMhawhAAmvQRY3DaXn//LqzmAq1ZyNn8RgD9YrWUs4BULYNMVgH2ELm2by4//5dUcwVUrOZu/CMAfrNYyFvCqBdD/32PgZW1zxPxfWs0hXLWSs/mLAPzBai1jAa9XABsVAUSAl1VzCFet5Gz+IgB/sFrLWMBrFkBywTxHl7XNIfN/YTXHcNVKzuYvAvAHq7WMBSwigAmDdFHbHHIAaGE1B3HVSs7mLwLwB6u1jAW8WgFscgFYJ+mStjlo/i+q5iiuWsnZ/EUA/mC1lrGAVyyA65eHwcvZ5qj5v6Saw7hqJWfzFwH4g9VaxgIWEoBxmC5om6Pm/5JqDuOqlZzNXwTgD1ZrGQt4rQK4nPfrE0DY/F9QzXFctZKz+YsA/MFqLWMBr1cA4z8ZAC9lm8MOAC2o5kCuWsnZ/EUA/mC1lrGAVyqAnuFpnadTS94MZNoqe3S27g1L3JYGW1uu5Gz+IgB/sFrLWMCrFYDtZ33gSeSh8X/T+O6SI+d/i60tV3I2fxGAP1itZSxgKQGYRuqkkq8M+hsGeCqAyTe/PQ22tlzJ2fxFAP5gtZaxgNcpgP6x7C6A68/zp4/wDjl0/rfY2nIlZ/MXAfiD1VrGAl6rAOw/vQCbyWPHeWYIIPQAUJOtLVdyNn8RgD9YrWUsYC0BWKaqteTxw/yTh/iJHDz/W2xtuZKz+YsA/MFqLWMBr1IAQ/PTUQCmt3mnjvEjOXr+t9jaciVn8xcB+IPVWsYCXqkAhn5uGKymko1n+dwsgGm3m50GW1uu5Gz+IgB/sFrLWMBSAjBMVuMze+OInjjJ72+6lUMabG25krP5iwD8wWotYwGvUQDXTs0cPWxvOIl/wkn+02b5/XH5KTfySIOtLVdyNn8RgD9YrWUs4HUK4JZ/2v/zZlvyVQdM+4zXdAFUmP8ttrZcydn8RQD+YLWWsYBXKIBrE3T0qf2x5CEHTP2M76Qr3z+vM/9bbG25krP5iwD8wWotYwGvUgDX/m30H08l9zlg+lc8TLn+/cTru6XB1pYrOZu/CMAfrNYyFrCYAK4fHtr9W7fkzAE3fcPPNAFUmf8ttrZcydn8RQD+YLWWsYDXJ4DrQ3r8DeKs5I4DbvuGtwm3ua9zAKjJ1pYrOZu/CMAfrNYyFvAaBXDTP59G72XJs77iedLfo680/1tsbbmSs/mLAPzBai1jAQsKYORrInpLnjH/JxwEqjX/W2xtuZKz+YsA/MFqLWMBr04At31DT+dW/iUX+tSAYxpsbbmSs/mLAPzBai1jAa9QADdcoWuNAiWX+dywYxpsbbmSs/mLAPzBai1jASsK4PpfiyxRsmmyVzsA1GRry5WczV8E4A9WaxkLeG0CuOk7OpOfFBGAYbQ/3PMGtxkBuK2aBgH4g9VaxgJenwAMV7n4dFcCLlGy7fvlGtxmBOC2ahoE4A9WaxkLeGUCMB1Gya6ziRCA4UvomtxmBOC2ahoE4A9WaxkLeHUCmHyl3BllSjZ8CVGT24wA3FZNgwD8wWotYwFrCmAzcGEHLlOy5ePJDW4zAnBbNQ0C8AertYwFvC4BGE+kSb/eJwcXEsDgPTt/xKzBbUYAbqumQQD+YLWWsYDXJgDj1TYX/3UGFyr5yndQnD6EXIY8ngZbW67kbP4iAH+wWstYwJICOF2v7xVDsZKH/lB95zNohcijabC15UrO5i8C8AertYwFvCoBmD9Kdbhi7/XLCWDkOyia3GYE4LZqGgTgD1ZrGQt4ZQKYdM1+X5QrufcjyMln0EqRx9Jga8uVnM1fBOAPVmsZC3hNApjwXQrbaw5cvWDJOS//htEGtxkBuK2aBgH4g9VaxgJelwAmXHXw651LCuDqJ9Ca3GYE4LZqGgTgD1ZrGQtYVABX/rpXyZITZs8ZqOXI19Nga8uVnM1fBOAPVmsZC3hFApj0bZrDVy5a8vW/L9zgNiMAt1XTIAB/sFrLWMCrEoAPuKgAOh9A6DkDtSD5ahpsbbmSs/mLAPzBai1jASMA35z/vnwfuiT5WhpsbbmSs/mLAPzBai1jAa9HAF5/T6VwycMfQGhymxGA26ppEIA/WK1lLOA1CcAJXFgAm+E3oBvcZgTgtmoaBOAPVmsZCxgBeGf4BNQWtxkBuK2aBgH4g9VaxgJejQDc/qJu8ZKH72iD24wA3FZNgwD8wWotYwGvSABeYLY5FF2Lq1ZyNn8RgD9YrWUs4LUIwO0FANscjK7FVSs5m78IwB+s1jIW8HoE4AZmm0PRtbhqJWfzFwH4g9VaxgJGAIFpcJsRgNuqaRCAP1itZSzglQjA7wgQ2xyMrsVVKzmbvwjAH6zWMhbwagTgB2abQ9G1uGolZ/MXAfiD1VrGAkYAgWlwmxGA26ppEIA/WK1lLGAEEJgGtxkBuK2aBgH4g9VaxgJGAIFpcJsRgNuqaRCAP1itZSxgBBCYBrcZAbitmgYB+IPVWsYCRgCBaXCbEYDbqmkQgD9YrWUs4HUIwHH+s83B6FpctZKz+YsA/MFqLWMBI4DANLjNCMBt1TQIwB+s1jIWMAIITIPbjADcVk2DAPzBai1jASOAwDS4zQjAbdU0CMAfrNYyFjACCEyD24wA3FZNgwD8wWotYwEjgMA0uM0IwG3VNAjAH6zWMhYwAghMg9uMANxWTYMA/MFqLWMBr0IAnvOfbQ5G1+KqlZzNXwTgD1ZrGQsYAQSmwW1GAG6rpkEA/mC1lrGAEUBgGtxmBOC2ahoE4A9WaxkLGAEEpsFtRgBuq6ZBAP5gtZaxgBFAYBrcZgTgtmoaBOAPVmsZCxgBBKbBbUYAbqumQQD+YLWWsYARQGAa3GYE4LZqGgTgD1ZrGQt4DQJwnf9sczC6Flet5Gz+IgB/sFrLWMAIIDANbjMCcFs1DQLwB6u1jAWMAALT4DYjALdV0yAAf7Bay1jACCAwDW4zAnBbNQ0C8AertYwFjAAC0+A2IwC3VdMgAH+wWstYwAggMA1uMwJwWzUNAvAHq7WMBYwAAtPgNiMAt1XTIAB/sFrLWMArEIDv/Gebg9G1uGolZ/MXAfiD1VrGAkYAgWlwmxGA26ppEIA/WK1lLGAEEJgGtxkBuK2aBgH4g9VaxgJGAIFpcJsRgNuqaRCAP1itZSxgBBCYBrcZAbitmgYB+IPVWsYCRgCBaXCbEYDbqmkQgD9YrWUs4OULwHn+s83B6FpctZKz+YsA/MFqLWMBI4DANLjNCMBt1TQIwB+s1jIWMAIITIPbjADcVk2DAPzBai1jASOAwDS4zQjAbdU01QVASEg2tDohear/VhSx3M50xVYeA6s9Z7CAeQUQmAa3mVcAbqumQQD+YLWWsYARQGAa3GYE4LZqGgTgD1ZrGQt48QLwnv9sczC6Flet5Gz+IgB/sFrLWMAIIDANbjMCcFs1DQLwB6u1jAWMAALT4DYjALdV0yAAf7Bay1jACCAwDW4zAnBbNQ0C8AertYwFjAAC0+A2IwC3VdMgAH+wWstYwAggMA1uMwJwWzUNAvAHq7WMBYwAAtPgNiMAt1XTIAB/sFrLWMBLF4D7/Gebg9G1uGolZ/MXAfiD1VrGAkYAgWlwmxGA26ppEIA/WK1lLGAEEJgGtxkBuK2aBgH4g9VaxgJGAIFpcJsRgNuqaRCAP1itZSxgBBCYBrcZAbitmgYB+IPVWsYCRgCBaXCbEYDbqmkQgD9YrWUsYAQQmAa3GQG4rZoGAfiD1VrGAl64APznP9scjK7FVSs5m78IwB+s1jIWMAIITIPbjADcVk2DAPzBai1jASOAwDS4zQjAbdU0CMAfrNYyFjACCEyD24wA3FZNgwD8wWotYwEjgMA0uM0IwG3VNAjAH6zWMhYwAghMg9uMANxWTYMA/MFqLWMBI4DANLjNCMBt1TQIwB+s1jIW8LIFUGD+s83B6FpctZKz+YsA/MFqLWMBI4DANLjNCMBt1TQIwB+s1jIWMAIITIPbjADcVk2DAPzBai1jASOAwDS4zQjAbdU0CMAfrNYyFjACCEyD24wA3FZNgwD8wWotYwEjgMA0uM0IwG3VNAjAH6zWMhbwogVQYv6zzcHoWly1krP5iwD8wWotYwEjgMA0uM0IwG3VNAjAH6zWMhYwAghMg9uMANxWTYMA/MFqLWMBI4DANLjNCMBt1TQIwB+s1jIWMAIITIPbjADcVk2DAPzBai1jASOAwDS4zQjAbdU0CMAfrNYyFjACCEyD24wA3FZNgwD8wWotYwEvWQBF5j/bHIyuxVUrOZu/CMAfrNYyFjACCEyD24wA3FZNgwD8wWotYwEjgMA0uM0IwG3VNAjAH6zWMhYwAghMg9uMANxWTYMA/MFqLWMBI4DANLjNCMBt1TQIwB+s1jIWMAIITIPbjADcVk2DAPzBai1jASOAwDS4zQjAbdU0CMAfrNYyFvCCBVBm/rPNwehaXLWSs/mLAPzBai1jASOAwDS4zQjAbdU0CMAfrNYyFjACCEyD24wA3FZNgwD8wWotYwEjgMA0uM0IwG3VNAjAH6zWMhYwAghMg9uMANxWTYMA/MFqLWMBI4DANLjNCMBt1TQIwB+s1jIWMAIITIPbjADcVk2DAPzBai1jAS9XAIXmP9scjK7FVSs5m78IwB+s1jIWMAIITIPbjADcVk2DAPzBai1jASOAwDS4zQjAbdU0CMAfrNYyFjACCEyD24wA3FZNgwD8wWotYwEjgMA0uM0IwG3VNAjAH6zWMhYwAghMg9uMANxWTYMA/MFqLWMBI4DANLjNCMBt1TQIwB+s1jIW8GIFUGr+s83B6FpctZKz+YsA/MFqLWMBI4DANLjNCMBt1TQIwB+s1jIWMAIITIPbjADcVk2DAPzBai1jASOAwDS4zQjAbdU0CMAfrNYyFjACCEyD24wA3FZNgwD8wWotYwEjgMA0uM0IwG3VNAjAH6zWMhbwUgVQbP6zzcHoWly1krP5iwD8wWotYwEjgMA0uM0IwG3VNAjAH6zWMhYwAghMg9uMANxWTYMA/MFqLWMBI4DANLjNCMBt1TQIwB+s1jIWMAIITIPbjADcVk2DAPzBai1jASOAwDS4zQjAbdU0CMAfrNYyFjACCEyD24wA3FZNgwD8wWotYwEvVADl5j/bHIyuxVUrOZu/CMAfrNYyFjACCEyD24wA3FZNgwD8wWotYwEjgMA0uM0IwG3VNAjAH6zWMhYwAghMg9uMANxWTYMA/MFqLWMBI4DANLjNCMBt1TQIwB+s1jIWMAIITIPbjADcVk2DAPzBai1jASOAwDS4zQjAbdU0CMAfrNYyFvAyBVBw/rPNwehaXLWSs/mLAPzBai1jASOAwDS4zQjAbdU0CMAfrNYyFjACCEyD24wA3FZNgwD8wWotYwEjgMA0uM0IwG3VNAjAH6zWMhYwAghMg9uMANxWTYMA/MFqLWMBI4DANLjNCMBt1TQIwB+s1jIWMAIITIPbjADcVk2DAPzBai1jAS9SACXnP9scjK7FVSs5m78IwB+s1jIWMAIITIPbjADcVk2DAPzBai1jASOAwDS4zQjAbdU0CMAfrNYyFjACCEyD24wA3FZNgwD8wWotYwEjgMA0uM0IwG3VNAjAH6zWMhYwAghMg9uMANxWTYMA/MFqLWMBI4DANLjNCMBt1TQIwB+s1jIW8BIFUHT+s83B6FpctZKz+YsA/MFqLWMBI4DANLjNCMBt1TQIwB+s1jIWMAIITIPbjADcVk2DAPzBai1jASOAwDS4zQjAbdU0CMAfrNYyFjACCEyD24wA3FZNgwD8wWotYwEjgMA0uM0IwG3VNAjAH6zWMhbwAgVQdv6zzcHoWly1krP5O1sAn79xt8u3f7299MVbj+/ufvj2/p+GLyCAQuhqYAQQmAa3GQG4reosgE8edwRwsMFeBsMXEEApdDUwAghMg9uMANxWdRbAB3ffPV94evfq2/efvnn36ntXLyCAUuhqYAQQmAa3GQG4reosgKd3Pz799yePD68DXvnFtQsIoBi6GhgBBKbBbUYAbqv6CuCLNzsj/d3Dq4F3t1IYvoAAiqGrgRFAYBrcZgTgtqqvAD5/49X/9JO7uz/Zvbv79O7Pdj/cHRYavoAAiqGrgRFAYBrcZgTgtqqvAI7vAW8H/OnVwCePX31v+ML+hr9/yEw+If3ZVD/DmZDFZ+5vyQd3dz967/6/vnX3MOERAFlOEAAho5n7W3I8uL99L7gz5r/96+EL6QJFXubsXuoUW3kMrPai0QJe3iGgwkeA2OZgdC2uWsnOAjjmg7trT/p7XgEggBLoamAEEJgGtxkBuK1aRgDZ83wEUAddDYwAAtPgNiMAt1VLCeBhsnMW0A6s1jIWMAIITIPbjADcVnUVwBdvdif78Sz/w6n/QxcQQDF0NTACCEyD24wA3FZ1FcDDU/vvnkXAJ4F3YLWWsYAXJ4DS859tDkbX4qqV7CyATx5vTwP99Ce7L/l50MB3Tt/4M3wBARRDVwMjgMA0uM0IwG1VXwHcv3v4MtDdR4E/7X7n5/AFBFAKXQ2MAALT4DYjALdVnQVw/+mf3t298qPDE/tP33qY8j8cvYAACqGrgRFAYBrcZgTgtqq3AGamSJG7QoutPAZWaxkLGAEEpsFtRgBuq6ZBAP5gtZaxgBFAYBrcZgTgtmoaBOAPVmsZCxgBBKbBbUYAbqumQQD+YLWWsYCXJoDi859tDkbX4qqVnM1fBOAPVmsZCxgBBKbBbUYAbqumQQD+YLWWsYARQGAa3GYE4LZqGgTgD1ZrGQsYAQSmwW1GAG6rpkEA/mC1lrGAEUBgGtxmBOC2ahoE4A9WaxkLGAEEpsFtRgBuq6ZBAP5gtZaxgBcmgPLzn20ORtfiqpWczV8E4A9WaxkLGAEEpsFtRgBuq6ZBAP5gtZaxgJclgA0CKANur2a5krP5iwD8wWotYwEvTQABYLY5FF2Lq1ZyNn8RgD9YrWUsYAQQmAa3GQG4rZoGAfiD1VrGAl6UACKOALHNwehaXLWSs/mLAPzBai1jAS9MABFgtjkUXYurVnI2fxGAP1itZSzgJQkg5AUA2xyMrsVVKzmbvwjAH6zWMhbwsgQQAmabQ9G1uGolZ/MXAfiD1VrGAkYAgWlwmxGA26ppEIA/WK1lLOAFCSDmCBDbHIyuxVUrOZu/CMAfrNYyFvCiBBADZptD0bW4aiVn8xcB+IPVWsYCXo4Agl4AsM3B6FpctZKz+YsA/MFqLWMBL0kAQWC2ORRdi6tWcjZ/EYA/WK1lLODFCCDqBQDbHIyuxVUrOZu/CMAfrNYyFvDYQ5IjAAAZ2ElEQVSCBBAFZptD0bW4aiVn8xcB+IPVWsYCRgCBaXCbEYDbqmkQgD9YrWUs4KUIIOwIENscjK7FVSs5m78IwB+s1jIW8HIEEAZmm0PRtbhqJWfzFwH4g9VaxgJeiADiXgCwzcHoWly1krP5iwD8wWotYwEvRgBxYLY5FF2Lq1ZyNn8RgD9YrWUsYAQQmAa3GQG4rZoGAfiD1VrGAl6GAAKPALHNwehaXLWSs/mLAPzBai1jAS9FAIFgtjkUXYurVnI2fxGAP1itZSzgRQgg8gUA2xyMrsVVKzmbvwjAH6zWMhbwQgQQCWabQ9G1uGolZ/MXAfiD1VrGAl6CAEJfALDNwehaXLWSs/mLAPzBai1jAS9DAKFgtjkUXYurVnI2fxGAP1itZSxgBBCJrgZur2a5krP5iwD8wWotYwEvQACxR4DY5mB0La5aydn8RQD+YLWWsYAXIYBYMNsciq7FVSs5m78IwB+s1jIWcH0BBL8AYJuD0bW4aiVn8xcB+IPVWsYCXoIAgsFscyi6Flet5Gz+IgB/sFrLWMAIIBJdDdxezXIlZ/MXAfiD1VrGAq4ugOgjQGxzMLoWV63kbP4iAH+wWstYwAsQQDSYbQ5F1+KqlZzNXwTgD1ZrGQu4tgDCXwCwzcHoWly1krP5iwD8wWotYwHXF0A4mG0ORdfiqpWczV8E4A9WaxkLuLIA4l8AsM3B6FpctZKz+YsA/MFqLWMBVxdAPJhtDkXX4qqVnM1fBOAPVmsZCxgBRKKrgdurWa7kbP4iAH+wWstYwHUFUOEIENscjK7FVSs5m78IwB+s1jIWcG0BVACzzaHoWly1krP5iwD8wWotYwFXFUCNFwBsczC6Flet5Gz+IgB/sFrLWMCVBVADzDaHomtx1UrO5i8C8AertYwFjAAi0dXA7dUsV3I2fxGAP1itZSzgmgKocgSIbQ5G1+KqlZzNXwTgD1ZrGQu4rgCqgNnmUHQtrlrJ2fxFAP5gtZaxgCsKoM4LALY5GF2Lq1ZyNn8RgD9YrWUs4KoCqANmm0PRtbhqJWfzFwH4g9VaxgKuR670AoBtDkbX4qqVnM1fBOAPVmsZC7imACqB2eZQdC2uWsnZ/EUA/mC1lrGAEUAkuhq4vZrlSs7mLwLwB6u1jAVcjVzrCBDbHIyuxVUrOZu/CMAfrNYyFnBFAVQCs82x6FpctZKz+YsA/MFqLWMB1yJXewHANgeja3HVSs7mLwLwB6u1jAVcTwCVwGxzMLoWV63kbP4iAH+wWstYwAggEl0N3F7NciVn8xcB+IPVWsYCrkSudwSIbQ5G1+KqlZzNXwTgD1ZrGQu4mgCaK/l5g9v8HAH4rZoGAfiD1VrGAq5D3iCAWHB7NcuVnM1fBOAPVmsZC7gKeXsAqLGS9+hq4PZqlis5m78IwB+s1jIWcAXyZvcGQFMlH9HVwO3VLFdyNn8RgD9YrWUs4Hjyfv43VfIJXQ3cXs1yJWfzFwH4g9VaxgIOJx/P/2mo5DO6Gri9muVKzuYvAvAHq7WMBRxNPp3/2U7JHXQ1cHs1y5WczV8E4A9WaxkLOJh8Pv+/mZK76Grg9mqWKzmbvwjAH6zWMhZwKHnT+fxXIyWn6Grg9mqWKzmbvwjAH6zWMhZwJLk7/xspOUNXA7dXs1zJ2fxFAP5gtZaxgAPJ6dc/NFFyjq4Gbq9muZKz+YsA/MFqLWMBx5Gzr/9poeQLdDVwezXLlZzNXwTgD1ZrGQs4jJx//VsDJV+iq4Hbq1mu5Gz+IgB/sFrLjGX7jTxB5M3F13+yzZHg9mqWKzmbvwjAH6zWMtez2SWGfDn/2eZQcHs1y5WczV8E4A9Wa5mr2c/kmK/l7/v2f7Y5EtxezXIlZ/MXAfiD1VrmSo5Pye8jDND711/Y5khwezXLlZzNXwTgD1ZrmcFsTodkHhopgtbzU7Y5EtxezXIlZ/MXAfiD1VpmIJvOEfn74i8Beg7/78llscNpZZsTcHs1y5WczV8E4A9Wa5nebNLP494XfhtgaP6zzaHg9mqWKzmbvwjAH6zWMn3JBvK25pIGGP7j72xzJLi9muVKzuYvAvAHq7XMZS6ej+9qLieA4fnPNoeC26tZruRs/iIAf7Bay+TZXB6P2QugkAEGD//syGWY45Hf5j5wezXLlZzNXwTgD1ZrmTQ94/9YcxkDXJ3/bHMouL2a5UrO5i8C8AertUyS/nF8qLmEAa6Of7Y5FtxezXIlZ/MXAfiD1Vqmk8GTMQ9kdwFcf/r/nG2OBbdXs1zJ2fxFAP5gtZY5pffozx58FICzAUbnP9scCm6vZrmSs/mLAPzBai1zyPD479Tsa4DR8c82x4Lbq1mu5Gz+VhcAWUf23/lpuZ4r0m0xQshlqv+GFbHcznTFVh4Dqz1nOH7l8zXwmez2EmD88M+O7IWbGsFtHge3V7Ncydn8RQD+YLWWGR3/qQCcDGAa/2xzLLi9muVKzuYvAvAHa7XM+PR/ntbsYgDb0//nbHMsuL2a5UrO5i8C8AcrtYxp/Gc1OxjAPP/Z5lBwezXLlZzNXwTgD9ZpGeP4z2ueLQDz+GebY8Ht1SxXcjZ/EYA/WKVlzOP/QgDzDGDHPmebY8Ht1SxXcjZ/EYA/WKJlDO/8dsEpeZYBJs1/tjkU3F7NciVn8xcB+IMFWmba+L+seYYBJnHZ5lhwezXLlZzNXwTgD15Ny2yuZRo4J98qgOnkG0Gzs55tdgS3V7Ncydn8RQD+4JW0jN/47xPAbQaYjmabI8Ht1SxXcjZ/EYA/eA0tc9OYvwK+IN+y+C13iW2OBLdXs1zJ2fxFAP7g5beM8/jvrXn6+jfdJ7Y5EtxezXIlZ/MXAfiDl94y3tP/eX/NExE33im2ORLcXs1yJWfzFwH4g5fdMgXG/4AAplBuvldscyS4vZrlSs7mLwLwBy+4ZdyP/RzBfeQJoNvvFdscCW6vZrmSs/mLAPzBi22ZUuN/qGYra869Ypsjwe3VLFdyNn8RgD94oS1TbPo/H6zZRJx3v9jmSHB7NcuVnM1fBOAPLkQ2nKt/hVxy/F8VwBh15v2S22YLuhq4vZrlSs7mLwLwBzuTr35gKx2fQ+Ryx36O4MGaR9Cz75fMNk9BVwO3V7Ncydn8RQD+YCfy6BP+UTOMvF5wzLWar/Ad7tjqt/kWdDVwezXLlZzNXwTgD3YgT5rctaf/89GarxhsNnnuAjeD1SaDBdxezXIlZ/MXAfiD55HnDO0F13xZk4+YFlxyOXQ1cHs1y5WczV8E4A++mTz7Gfuia05L83phsuiSS6GrgdurWa7kbP4iAN/cOsN9jtYsfTKcK3Q7LrX0kougq4Hbq1mu5Gz+IgDX3HL43fFI/Qomg/fbEiso2R9dDdxezXIlZ/MXAThmP9cONRnemp2iCVNWMRlc5/86SvZGVwO3V7Ncydn8RQBuOc61i7+PGzL7d2lwMjRYMjVHctVKzuYvAnDKeZbLtYwFjAAi0dXA7dUsV3I2fxGATzpP5eVaxgJGAJHoauD2apYrOZu/CMAjyZEcuZaxgBFAJLoauL2a5UrO5i8CmJ/sSL5cy1jACCASXQ3cXs1yJWfzFwHMTv5GrlzLWMAIIBJdDdxezXIlZ/MXAczM5Xk8ci1jASOASHQ1cHs1y5WczV8EMCt953HKtYwFjAAi0dXA7dUsV3I2fxHAjPSfxi/XMhYwAohEVwO3V7Ncydn8RQC3Z+BTXHItYwEjgEh0NXB7NcuVnM1fBHBrBj/EK9cyFjACiERXA7dXs1zJ2fxFADfl2pc4yLWMBYwAItHVwO3VLFdyNn8RwOSMfYWPXMtYwAggEl0N3F7NciVn8xcBTIvhC9zkWsYCRgCR6Grg9mqWKzmbvwjAHuO3d8q1jAWMACLR1cDt1SxXcjZ/EYAx9u9ulmsZCxgBRKKrgdurWa7kbP4iAEOmfXG/XMtYwAggEl0N3F7NciVn8xcBjGT6n22RaxkLGAFEoquB26tZruRs/iKAq7nlb3bJtYwFjAAi0dXA7dUsV3I2fxHAtdz0FxvlWsYCRgCR6Grg9mqWKzmbvwhgODf+wV65lrGAEUAkuhq4vZrlSs7mLwIYzK1/sF2uZSxgBBCJrgZur2a5krP5iwAGcuv4F2wZCxgBRKKrgdurWa7kbP4igN7c8N7vGazWMhYwAohEVwO3V7Ncydn8RQB9mTH+BVvGAkYAkehq4PZqlis5m78I4DKzxr9gy1jACCASXQ3cXs1yJWfzFwFcZOb812sZCxgBRKKrgdurWa7kbP4igCxzx79gy1jACCASXQ3cXs1yJWfzFwEkmfPm7wms1jIWMAKIRFcDt1ezXMnZ/EUA3TiMf8GWsYARQCS6Gri9muVKzuYvAjjHZfwLtowFjAAi0dXA7dUsV3I2fxHAKU7zX69lLGAEEImuBm6vZrmSs/mLAA7xGv+CLWMBI4BIdDVwezXLlZzNXwSwzS3f+jwMVmsZCxgBRKKrgdurWa7kbP4iAN/p/1ywZSxgBBCJrgZur2a5krP527gAJv+5LwtYrWUsYAQQia4Gbq9muZKz+duyAEpM/+eCLWMBI4BIdDVwezXLlZzN31YFUGj478BqLWMBI4BIdDVwezXLlZzN3yYFUHD6PxdsGQsYAUSiq4Hbq1mu5Gz+NieAssN/B1ZrGQsYAUSiq4Hbq1mu5Gz+tiWA8tP/uWDLWMAIIBJdDdxezXIlZ/O3IQFEDP8dWK1lLGAEEImuBm6vZrmSs/nbigCipv9zwZaxgBFAJLoauL2a5UrO5m8TAgic/s8FW8YCRgCR6Grg9mqWKzmbv/oCiJ3+zwVbxgJGAJHoauD2apYrOZu/4gIIn/7PBVvGAkYAkehq4PZqlis5m7/KAqgx/Z8LtowFjAAi0dXA7dUsV3I2f1UFEHLCZ3/kWsYCRgCR6Grg9mqWKzmbv3oC2JzivrQtci1jASOASHQ1cHs1y5WczV8lAWw23eHPb0kkGAFEoquB26tZruRs/moIIB39h0JdVr4hci1jASOASHQ1cHs1y5Wczd+1C6Bv9B8KnbnyzZFrGQsYAUSiq4Hbq1mu5Gz+agigt9CZK98cuZaxgBFAJLoauL2a5UrO5u/aBXCl0GIrj4HVWsYCRgCR6Grg9mqWKzmbvwjAH6zWMhYwAohEVwO3V7Ncydn8RQD+YLWWsYARQCS6Gri9muVKzuYvAvAHq7WMBYwAItHVwO3VLFdyNn8RgD9YrWUsYAQQia4Gbq9muZKz+YsA/MFqLWMBI4BIdDVwezXLlZzNXwTgD1ZrGQsYAUSiq4Hbq1mu5Gz+IgB/sFrLWMAIIBJdDdxezXIlZ/MXAfiD1VrGAkYAkehq4PZqlis5m78IwB+s1jIWMAKIRFcDt1ezXMnZ/EUA/mC1lrGAEUAkuhq4vZrlSs7mLwLwB6u1jAWMACLR1cDt1SxXcjZ/EYA/WK1lLGAEEImuBm6vZrmSs/mLAPzBai1jASOASHQ1cHs1y5WczV8E4A9WaxkLGAFEoquB26tZruRs/iIAf7Bay1jACCASXQ3cXs1yJWfzFwH4g9VaxgJGAJHoauD2apYrOZu/CMAfrNYyFjACiERXA7dXs1zJ2fxFAP5gtZaxgBFAJLoauL2a5UrO5m+YAL546/Hd3Q/fvvh5kSJ3hRZbeQys1jIWMAKIRFcDt1ezXMnZ/I0SwOdv3G3z7V8jgJLoamAEEImuBm6vZrmSKwng6d2rb99/+ubdq+8hgILoamAEEImuBm6vZrmS6wjgk8e75/6fv/HKLxBAQXQ1MAKIRFcDt1ezXMl1BPDu3XcP///j7F+KFLkrtNjKY2C1lrGAEUAkuhq4vZrlSs7mb5AAnt792e7/PziI4JwiRe4KLbbyGFitZSxgBBCJrgZur2a5krP5GyOAL948HPr55PHxTYDfPySETwgh5CIIgBBCGk24APITQYu8zNm91Cm28hhY7UWjBcwhoEh0NXB7NcuVXFsA+XmgRYrcFVps5TGwWstYwAggEl0N3F7NciUjgNKRaxkLGAFEoquB26tZruQqAuAsoCB0NTACiERXA7dXs1zJ2fwN+xzAj5P/P6dIkbtCi608BlZrGQsYAUSiq4Hbq1mu5Gz+8klgf7Bay1jACCASXQ3cXs1yJdcRwBdv3n2H7wIqj64GRgCR6Grg9mqWK7mOAO4/5dtAI9DVwAggEl0N3F7NciVXEsD9p289zP8f5s//EYAvuhoYAUSiq4Hbq1mu5Gz+8hfB/MFqLWMBI4BIdDVwezXLlZzNXwTgD1ZrGQsYAUSiq4Hbq1mu5Gz+IgB/sFrLWMAIIBJdDdxezXIlZ/MXAfiD1VrGAkYAkehq4PZqlis5m78IwB+s1jIWMAKIRFcDt1ezXMnZ/EUA/mC1lrGAEUAkuhq4vZrlSs7mLwLwB6u1jAWMACLR1cDt1SxXcjZ/EYA/WK1lLGAEEImuBm6vZrmSs/lbXQB6afGvnDVYc4Mlt1izeskIwD3qLdOXBmtusOQWa1YvGQG4R71l+tJgzQ2W3GLN6iUjAPeot0xfGqy5wZJbrFm9ZATgHvWW6UuDNTdYcos1q5eMANyj3jJ9abDmBktusWb1khGAe9Rbpi8N1txgyS3WrF4yAnCPesv0pcGaGyy5xZrVS0YAhBDSaBAAIYQ0GgRACCGNBgEQQkijQQCEENJoEAAhhDQaBEAIIY0GARBCSKNBAPPy+RvfPfzXp396d/fK//Lew3998ebdMd/+9fbyW4/v7n74dsV76Zu+mg8XTmWK1Xyl5NMFqZL/aVtZ72YOX1h5hku+7zaAUsn3CGBunt4dGuMf9xP/O7++EMDnb5xdIJG+mu/vP3m8u/DKL7YX1GruLzm5IFXy390NbebwhZVnuORtTg2gVPI2CGBOvnh6d2iMh/H36tv3X/zd3avvnf71k8e7bnq6/ZdP3+z+y5ozUPOD9TplatU8UHK650olf3D3yr+53xazm3NPB3dWqOYrJXcbQKnkXRDAjPzTT+6OjfH00BFP7/7s+K8PI/HH99sxsWupz9/YP7dYe4ZqTsrUqnmo5OH6V56Hzt118cOz3as7K1TzlZKTBhAqeR8EcHvevbv70T/uG+PYPw9PJL57/ufdfHj38JN3dzpYewZr/qD7Q6mah0pO61cq+fM3Dkc4nm6LSSobvrDuXCm52wBKJe+DAG7Pu9/5D+e5d3hG8Mnj42vD/XOJ82uCjhpWnMGak6dGUjUPlZzWL1XyMbtpmFQ2fEEklyV3G0CvZAQwL8MCeHfwX9ae3ppP7wF8V7HmUQHolXx/sHlbNV+WvP/58O/5yoMA5uX8zCA9SHw6SqjXMgM1f7E/jeJH7ynW3Fty94JeyfeH5zBtCeCy5P3PEQDpzXEyfPJ4O/q2Q/BwLPGDgwk6LaNy6lh/zZ/8ZH9O5NuKNfeW3L2gV/LuxJhfZJs5fKHavXRNT8nHf8gFIFIyApiX07HAd/enEf/Pj49z/3CwUO85Q3/Np2nY/xJ65enf5s4FvZLvP3j8yraFW3oF0Ffy4V94BUD6cn4zaHuu2J+8fWyM0zMEvZbpr/np4bSIp7vzY9RqHtjm8wW9kt+96zmGqS2A3pL3/4QASG/yswGOl88/lztvoLdm8VNihrb5fEGt5L+7O57p3sxZQAMlJ/8lVjICmJu8Ec5PhI/nCR/PGJY5c7i35lQAcjUPbfP5glbJXzw9fMHFfVbZ8IW1Z7DkXY4NIFXyNghgXrLGOHz7w3keCn52sL/m7iEgvZp7S04uaJX8tPNVB018EvhKybuczwIQKnkbBDAv50M+268S+afHhzF4+mDh7u3g70h9e0h/zR/cnd8E1qt5oOTOBamS3+1WkVQ2fGHlGS55l2MDKJW8CwKYl9OxgcOXCR76ovse0adi3x84UPPhlJi9AdVq7i85uSBU8uEbL+8O34CTVDZ8YdW5VvI2pwbQKXkfBDAv54PD//g/3d39d//m9OPOM4RP33romB+KPGO4H6z5/9v+PYA/OXxRuljNAyUnF3RK/uAumYZpZcMX1pyrJd93G0Cm5H0QACGENBoEQAghjQYBEEJIo0EAhBDSaBAAIYQ0GgRACCGNBgEQQkijQQCEENJoEAAhhDQaBEAIIY0GARBCSKNBAIQQ0mgQACGENBoEQMhlnmzSfGv3sy+/U/t+EeIaBEDIZRAAaSIIgJDLIADSRBAAIUN58dPNV2rfB0IKBgEQMhQEQMSDAAgZCgIg4kEAhAwlFcD+PYDdz37zvc3mpW8+XPrN9zebzTd+dbjGRz979PDz00VClh4EQMhQBgTw3xzeIv69v/3l/j9e+vnuCs+Obxl/s9L9JWRiEAAhQxkQwMOEf+f+xcPw/9LmG7+7f/GXm/3pQc/2rwU+/iUGIGsJAiBkKEMC2J4Uev/Za5vDvz55eC1wf//ho+OVnx1fEhCy8CAAQoYyIIDtuN9dPh362f7Hs+PPee+YrCYIgJChDAjg8HmwJ8eJ//5WAN3r8pExspIgAEKGMngW0OFyVwDbI0LnHF8MELLoIABChoIAiHgQACFDmSgADvyTtQUBEDKUKQI4vzdAyGqCAAgZyhQBnE8KwgVkNUEAhAxlkgA+fHQc++9vNq9H31VCbgkCIGQokwSw/STwy39xf/5kMCGLDwIgZCjTBHD+LiDmP1lJEAAhQ5kogPuPfvbVh/H/9b+Ivp+E3BgEQAghjQYBEEJIo0EAhBDSaBAAIYQ0GgRACCGNBgEQQkijQQCEENJoEAAhhDQaBEAIIY0GARBCSKNBAIQQ0mgQACGENBoEQAghjQYBEEJIo0EAhBDSaBAAIYQ0GgRACCGNBgEQQkijQQCEENJoEAAhhDSa/x/hXCLg4ts2DQAAAABJRU5ErkJggg==" width="768" /></p>
</div>
<div id="tips" class="slide section level1">
<h1>Tips</h1>
<ul>
<li>First-differencing a time series will remove a linear trend (i.e., differences=1).</li>
<li>First-differencing a time series at a lag equal to the period will remove a seasonal trend (e.g., set lag=12 for monthly data).</li>
<li>Twice-differencing will remove a quadratic trend (i.e., differences=2).</li>
</ul>
</div>
<div id="basics-of-mathematical-notation-for-time-series-time-lag" class="slide section level1">
<h1>Basics of Mathematical Notation for Time Series (Time Lag)</h1>
<p><span class="math inline">\(y_{t-j}\)</span>: jth lag of y</p>
<p><span class="math inline">\(y_{t-j}\)</span>: the value of y in time period t-j (the value of j periods earlier).</p>
<ul>
<li><span class="math inline">\(\Delta y_t=y_t - y_{t-1}\)</span></li>
<li><span class="math inline">\(\Delta y_{t-1} = y_{t-1} - y_{t-2}\)</span></li>
<li><span class="math inline">\(\Delta y_{t-j}=y_{t-j}-y_{t-j-1}\)</span></li>
</ul>
<p>Each time we lag a time series one period we lose an observation.</p>
<p>Each time we difference a time series we lose an observation.</p>
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