diff --git a/session_3/slides.Rmd b/session_3/slides.Rmd index 38ad95939f4ea11da89544c886b116f4a42165cb..eeb97d3a867f563999c83c6e7a3a7dfde3e10afc 100644 --- a/session_3/slides.Rmd +++ b/session_3/slides.Rmd @@ -3,6 +3,8 @@ title: "R#3: stats with ggplot2" author: "Laurent Modolo [laurent.modolo@ens-lyon.fr](mailto:laurent.modolo@ens-lyon.fr)" date: "08 Nov 2019" output: + slidy_presentation: + highlight: tango beamer_presentation: theme: metropolis slide_level: 3 @@ -10,8 +12,6 @@ output: df_print: tibble highlight: tango latex_engine: xelatex - slidy_presentation: - highlight: tango --- ```{r setup, include=FALSE, cache=TRUE} @@ -23,6 +23,7 @@ library(tidyverse) The goal of this practical is to practices advanced features of `ggplot2`. The objectives of this session will be to: + - learn about statistical transformations - practices position adjustments - change the coordinate systems @@ -95,4 +96,175 @@ You can colour a bar chart using either the `colour` aesthetic, or, more usefull ```{r diamonds_barplot_fill, cache = TRUE, fig.width=8, fig.height=4.5, message=FALSE} ggplot(data = diamonds) + geom_bar(mapping = aes(x = cut, fill = cut)) -``` \ No newline at end of file +``` + +## Position adjustments + +You can also use `fill` with another variable: + +```{r diamonds_barplot_fill_clarity, cache = TRUE, fig.width=8, fig.height=4.5, message=FALSE} +ggplot(data = diamonds) + + geom_bar(mapping = aes(x = cut, fill = clarity)) +``` + +## Position adjustments + +The stacking is performed by the position adjustment `position` + +```{r diamonds_barplot_pos_identity, cache = TRUE, fig.width=8, fig.height=4.5, message=FALSE} +ggplot(data = diamonds, + mapping = aes(x = cut, colour = clarity)) + + geom_bar(fill = NA, position = "identity") +``` + +## Position adjustments + +The stacking is performed by the position adjustment `position` + +```{r diamonds_barplot_pos_fill, cache = TRUE, fig.width=8, fig.height=4.5, message=FALSE} +ggplot(data = diamonds) + + geom_bar(mapping = aes(x = cut, fill = clarity), + position = "fill") +``` + +## Position adjustments + +The stacking is performed by the position adjustment `position` + +```{r diamonds_barplot_pos_dodge, cache = TRUE, fig.width=8, fig.height=4.5, message=FALSE} +ggplot(data = diamonds) + + geom_bar(mapping = aes(x = cut, fill = clarity), + position = "dodge") +``` + +## Position adjustments + +The stacking is performed by the position adjustment `position` + +```{r mpg_point_pos_jitter, cache = TRUE, fig.width=8, fig.height=4.5, message=FALSE} +ggplot(data = mpg) + + geom_point(mapping = aes(x = displ, y = hwy), + position = "jitter") +``` + +## Position adjustments + +The stacking is performed by the position adjustment `position` + +```{r mpg_jitter, cache = TRUE, fig.width=8, fig.height=4.5, message=FALSE} +ggplot(data = mpg) + + geom_jitter(mapping = aes(x = displ, y = hwy)) +``` + +## Position adjustments challenges + +- What is the problem with this plot? How could you improve it? +```{r mpg_point, eval=F, message=FALSE} +ggplot(data = mpg, mapping = aes(x = cty, y = hwy)) + + geom_point() +``` +- What parameters to `geom_jitter()` control the amount of jittering? +- Compare and contrast `geom_jitter()` with `geom_count()` +- What’s the default position adjustment for `geom_boxplot()` ? Create a visualisation of the `mpg` dataset that demonstrates it. + +## Coordinate systems + +Cartesian coordinate system where the x and y positions act independently to determine the location of each point. There are a number of other coordinate systems that are occasionally helpful. + +## Coordinate systems + +```{r mpg_boxplot, cache = TRUE, fig.width=8, fig.height=4.5, message=FALSE} +ggplot(data = mpg, mapping = aes(x = class, y = hwy)) + + geom_boxplot() +``` + +## Coordinate systems + +```{r mpg_boxplot_flip, cache = TRUE, fig.width=8, fig.height=4.5, message=FALSE} +ggplot(data = mpg, mapping = aes(x = class, y = hwy)) + + geom_boxplot() + + coord_flip() +``` + +## Coordinate systems + +```{r diamonds_bar, cache = TRUE, fig.width=8, fig.height=4.5, message=FALSE} +bar <- ggplot(data = diamonds) + + geom_bar( + mapping = aes(x = cut, fill = cut), + show.legend = FALSE, + width = 1 + ) + + theme(aspect.ratio = 1) + + labs(x = NULL, y = NULL) +``` +**3_d** + +## Coordinate systems + +```{r diamonds_bar_plot, echo=F, cache = TRUE, fig.width=8, fig.height=4.5, message=FALSE} +bar +``` + +**3_d** + +## Coordinate systems +```{r diamonds_bar_flip, cache = TRUE, fig.width=8, fig.height=4.5, message=FALSE} +bar + coord_flip() +``` + +## Coordinate systems + +```{r mpg_jitter_noquickmap, cache = TRUE, fig.width=8, fig.height=4.5, message=FALSE} +ggplot(data = mpg) + + geom_jitter(mapping = aes(x = cty, y = hwy)) +``` + +## Coordinate systems + +```{r mpg_jitter_quickmap, cache = TRUE, fig.width=4.5, fig.height=3.5, message=FALSE} +ggplot(data = mpg) + + geom_jitter(mapping = aes(x = cty, y = hwy)) + + coord_quickmap() +``` + +## Coordinate systems +```{r diamonds_bar_polar, cache = TRUE, fig.width=8, fig.height=4.5, message=FALSE} +bar + coord_polar() +``` + +## Coordinate systems challenges + +- Turn a stacked bar chart into a pie chart using `coord_polar()`. +- What does `labs()` do? Read the documentation. +- What does the plot below tell you about the relationship between `city` and highway `mpg`? Why is `coord_fixed()` important? What does `geom_abline()` do? + +```{r mpg_point_fixed, eval = F, cache = TRUE, fig.width=4.5, fig.height=3.5, message=FALSE} +ggplot(data = mpg, mapping = aes(x = cty, y = hwy)) + + geom_point() + + geom_abline() + + coord_fixed() +``` + +## Coordinate systems challenges + +```{r diamonds_barplot_pos_fill_polar, cache = TRUE, fig.width=8, fig.height=4.5, message=FALSE} +ggplot(data = diamonds) + + geom_bar(mapping = aes(x = cut, fill = clarity), + position = "fill") + + coord_polar() +``` + +## Coordinate systems challenges + +```{r mpg_point_nofixed_plot, eval = T, cache = TRUE, fig.width=8, fig.height=3.5, message=FALSE} +ggplot(data = mpg, mapping = aes(x = cty, y = hwy)) + + geom_point() + geom_abline() +``` + +## Coordinate systems challenges + +```{r mpg_point_fixed_plot, eval = T, cache = TRUE, fig.width=8, fig.height=3.5, message=FALSE} +ggplot(data = mpg, mapping = aes(x = cty, y = hwy)) + + geom_point() + geom_abline() + coord_fixed() +``` diff --git a/web/3_d b/web/3_d new file mode 100644 index 0000000000000000000000000000000000000000..25531f6ddb90e52e8fcb2384705a150feb2e0e08 --- /dev/null +++ b/web/3_d @@ -0,0 +1,8 @@ +bar <- ggplot(data = diamonds) + + geom_bar( + mapping = aes(x = cut, fill = cut), + show.legend = FALSE, + width = 1 + ) + + theme(aspect.ratio = 1) + + labs(x = NULL, y = NULL) \ No newline at end of file diff --git a/web/slides_3.html b/web/slides_3.html new file mode 100644 index 0000000000000000000000000000000000000000..c5ce149e5a50f7e112b946473a98071922632d51 --- /dev/null +++ b/web/slides_3.html @@ -0,0 +1,667 @@ +<?xml version="1.0" encoding="utf-8" ?> +<!DOCTYPE html PUBLIC "-//W3C//DTD XHTML 1.0 Strict//EN" "http://www.w3.org/TR/xhtml1/DTD/xhtml1-strict.dtd"> +<html xmlns="http://www.w3.org/1999/xhtml"> +<head> + <meta http-equiv="Content-Type" content="text/html; charset=utf-8" /> + <meta http-equiv="Content-Style-Type" content="text/css" /> + <meta name="generator" content="pandoc" /> + <meta name="author" content="Laurent Modolo laurent.modolo@ens-lyon.fr" /> + <meta name="date" content="2019-11-08" /> + <title>R#3: stats with ggplot2</title> + <style type="text/css">code{white-space: pre;}</style> + <style type="text/css"> +pre > code.sourceCode { white-space: pre; position: relative; } +pre > code.sourceCode > span { display: inline-block; line-height: 1.25; } +pre > code.sourceCode > span:empty { height: 1.2em; } +code.sourceCode > span { color: inherit; text-decoration: inherit; } +div.sourceCode { margin: 1em 0; } +pre.sourceCode { margin: 0; } +@media screen { +div.sourceCode { overflow: auto; } +} +@media print { +pre > code.sourceCode { white-space: pre-wrap; } +pre > code.sourceCode > span { text-indent: -5em; padding-left: 5em; } +} +pre.numberSource code + { counter-reset: source-line 0; } +pre.numberSource code > span + { position: relative; 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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;
  },

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

      if (node)
      {
        while (node.lastChild)
          node = node.lastChild;
      }

      return node;
    }

    if (node.previousSibling)
    {
      node = node.previousSibling;

      while (node.lastChild)
        node = node.lastChild;

      return node;
    }

    if (node.parentNode != root)
      return node.parentNode;

    return null;
  },

  previous_sibling_element: function (el) {
    el = el.previousSibling;

    while (el && el.nodeType != 1)
      el = el.previousSibling;

    return el;
  },

  next_sibling_element: function (el) {
    el = el.nextSibling;

    while (el && el.nodeType != 1)
      el = el.nextSibling;

    return el;
  },

  first_child_element: function (el) {
    var node;

    for (node = el.firstChild; node; node = node.nextSibling)
    {
      if (node.nodeType == 1)
        break;
    }

    return node;
  },

  first_tag: function (element, tag) {
    var node;

    if (!this.is_xhtml)
      tag = tag.toUpperCase();

    for (node = element.firstChild; node; node = node.nextSibling)
    {
      if (node.nodeType == 1 && node.nodeName == tag)
        break;
    }

    return node;
  },

  hide_selection: function () {
    if (window.getSelection) // Firefox, Chromium, Safari, Opera
    {
      var selection = window.getSelection();

      if (selection.rangeCount > 0)
      {
        var range = selection.getRangeAt(0);
        range.collapse (false);
      }
    }
    else // Internet Explorer
    {
      var textRange = document.selection.createRange ();
      textRange.collapse (false);
    }
  },

  get_selected_text: function () {
    try
    {
      if (window.getSelection)
        return window.getSelection().toString();

      if (document.getSelection)
        return document.getSelection().toString();

      if (document.selection)
        return document.selection.createRange().text;
    }
    catch (e)
    {
    }

    return "";
  },

  // make note of length of selected text
  // as this evaluates to zero in click event
  mouse_button_up: function (e) {
    w3c_slidy.selected_text_len = w3c_slidy.get_selected_text().length;
  },

  mouse_button_down: function (e) {
    w3c_slidy.selected_text_len = w3c_slidy.get_selected_text().length;
    w3c_slidy.mouse_x = e.clientX;
    w3c_slidy.mouse_y = e.clientY;
  },

  // right mouse button click is reserved for context menus
  // it is more reliable to detect rightclick than leftclick
  mouse_button_click: function (e) {
    if (!e)
      var e = window.event;

    if (Math.abs(e.clientX -w3c_slidy.mouse_x) +
        Math.abs(e.clientY -w3c_slidy.mouse_y) > 10)
      return true;

    if (w3c_slidy.selected_text_len > 0)
      return true;

    var rightclick = false;
    var leftclick = false;
    var middleclick = false;
    var target;

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

    if (e.target)
      target = e.target;
    else if (e.srcElement)
      target = e.srcElement;

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

    if (e.which) // all browsers except IE
    {
      leftclick = (e.which == 1);
      middleclick = (e.which == 2);
      rightclick = (e.which == 3);
    }
    else if (e.button)
    {
      // Konqueror gives 1 for left, 4 for middle
      // IE6 gives 0 for left and not 1 as I expected

      if (e.button == 4)
        middleclick = true;

      // all browsers agree on 2 for right button
      rightclick = (e.button == 2);
    }
    else
      leftclick = true;

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    "table of contents":"spis treści",
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    "restart presentation":"Restartuj prezentację",
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    "help?":"Aide",
    "contents?":"Index",
    "table of contents":"table des matières",
    "Table of Contents":"Table des matières",
    "restart presentation":"Recommencer l'exposé",
    "restart?":"Début"
  },
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    "restart presentation":"bemutató újraindítása",
    "restart?":"újraindítás"
  },
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    "help?":"Aiuto",
    "contents?":"Indice",
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    "restart presentation":"Ricominciare la presentazione",
    "restart?":"Inizio"
  },
  help_it:
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  },
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    "help?":"ヘルプ",
    "contents?":"目次",
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    "Table of Contents":"目次",
    "restart presentation":"最初から再生",
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  },
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    "help?":"帮助?",
    "contents?":"内容?",
    "table of contents":"目录",
    "Table of Contents":"目录",
    "restart presentation":"重新启动展示",
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  },
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    "help?":"помощь?",
    "contents?":"содержание?",
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"></script> +</head> +<body> +<div class="slide titlepage"> + <h1 class="title">R#3: stats with ggplot2</h1> + <p class="author"> +Laurent Modolo <a href="mailto:laurent.modolo@ens-lyon.fr">laurent.modolo@ens-lyon.fr</a> + </p> + <p class="date">08 Nov 2019</p> +</div> +<div id="r3-stats-with-ggplot2" class="slide section level2"> +<h1>R#3: stats with ggplot2</h1> +<p>The goal of this practical is to practices advanced features of <code>ggplot2</code>.</p> +<p>The objectives of this session will be to:</p> +<ul> +<li>learn about statistical transformations</li> +<li>practices position adjustments</li> +<li>change the coordinate systems</li> +</ul> +</div> +<div id="ggplot2-statistical-transformations" class="slide section level2"> +<h1><code>ggplot2</code> statistical transformations</h1> +<p>We are going to use the <code>diamonds</code> data set included in <code>tidyverse</code>.</p> +<ul> +<li>Use the <code>help</code> and <code>View</code> command to explore this data set.</li> +<li>Try the <code>str</code> command, which information are displayed ?</li> +</ul> +</div> +<div id="ggplot2-statistical-transformations-1" class="slide section level2"> +<h1><code>ggplot2</code> statistical transformations</h1> +<div class="sourceCode" id="cb1"><pre class="sourceCode r"><code class="sourceCode r"><span id="cb1-1"><a href="#cb1-1"></a><span class="kw">ggplot</span>(<span class="dt">data =</span> diamonds) <span class="op">+</span><span class="st"> </span></span> +<span id="cb1-2"><a href="#cb1-2"></a><span class="st"> </span><span class="kw">geom_bar</span>(<span class="dt">mapping =</span> <span class="kw">aes</span>(<span class="dt">x =</span> cut))</span></code></pre></div> +<p><img 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8EHJkNeXDnkxbqry9IzCkTEoG94CkGXUWP7cRcLWq6iwiIRsXV1rTsjbsqq555dlVxnoeXNb699YYBI8rFjRSJtx03sV2sIg8rztgn9Vi2LOB51QnfbCHUjm+VGHcsUsR4+JdBdVavVuAn9V38SXnHt3ixuHF4BAR3W/Jx4LHhvQeD46kcW/Zf/OA7372kiIlIVHX60XCxG3ja69t1a6o6j/X2Cfk2KjooV/z7nFtc7mJv1GzLAIjgkKjSsdOwtrURENAf2RlSK2eCRQ1s3UFp1nzNxcXWqs6J40xv3fRlVt/lNL659a7Sl5Bw7liXiMGqiv22t1Q6j7xj+w7FdqVHRhfd42zeymfb4sTidqPtOmtSp1sUJh1F3jPgxcieTvd/gEn95/I5fLrTC1H3Mc88G1HkEmPnQsQG1Pm1x4eFnRNV3bKBXrcvSKo/Ro7p9HXv0ZFRM+fjzt/e26d+/5pHfydlJJF3dc0DfGn+TLJ2dW4sU6/Q6kauPKJt/j0ADUo4dKxRxHjt1pE3NxequE2/vsvH7uPPtwsNzRDrecptv7bGj9v6j+396ICQ9KqpAvB1EPKcsWTul3l6yMjL0IiaX+NKC6xMBEHC5bpr5e+MeA19ZlJaYmJKelZWVmZF68mjE8dJGvMjdjaGWaMksLS1ENGdyc7UitTIglblVq1Y1pk/RlZdqq/77d2VmRp6I2tun1l1hIiI23t5OEpGblZ0n4tbIZpmZmSLSrmO92bRad+7sIeF1QyigMTxHjuryS2Lc8T1788ZPcBYRw/F9+wtEXP1H+lZ/+cvMyDCImGcEf7UiovZrdemlIlKck10mYnV2Yf2DuUX/of3MQ0KPhR7S3BJgLVJ6ICSyUiyGjBzc4HxvFpYWIqLPzc0XqR09mVrW7nMVGm3l2bP16m7S1rverEFm3t6eInFZ2Vki9o1sVt3KrWMnm7qtOnf2kZ31QijcWEzMrazMan6C1NZObbw69L317juHeta7pOXq5l7r01aUkaERsTwd/uOKxDpNc/NNRapycvJF2pxd1rp1rbjURKUSERt7+1rRpMrkGg4Hbf49AhdXlZmZK6Lq0LFD3aO2a+fOthJ35r+f9JkZWSKqsuh1K3LrfDjPpJuJVObkZIucj2cNmtykxKS0jOzsrIy0pOORR5LIfhSLAAhoAmVJ2374ZtXO6Lzy6qOn2tq5nW9f34rQEwWXeqmdfQN3AgBG5+zsIlJgSE4++1yXs7ymfLCqxjWkqpBFUxfv+++HgtOnDSK29vb1bzt2cHQQyc3LzRNxa1wzx4KCUhGVo5NDvVbOLs4iBEC4Iq7+Ad2/j4v5d09I9oTJbmKI3bv/tIjrCP+u/5075+XliUjxyeAtJy+8BW25tkYAdIGDuWX/of3NQ0OPhoaXBfhbFYeGHKkS66EBNzX8gHknZxeVJBtSklMM4lzzPN5m7Furxtb4+eiKGW9t+e/kX3v6tEZEbW9fN7L5rzNJXm6eQaS8cc0KCgpExNGp/kRFNi7O5iIMu7ux+Uz7ZOm0Rl+8qtsz8nLzRESbfHDLRQ7eWu3FniN/jkrV3PFL8+8REBGRosICg4iNo2P9OeGcXZxFzgZAhbl5OhHJiNyaceENabXl1f8w5B1e+/V3G8KSi6vvZFCZ27bp2Muv3cHIFDIgZSIAAq65/O0fvPFpRImFe7+J40f3696pfVs3e0u15Kyb2YgAiHMKtGzOvXq6S1xWdtSxHEMn14t/WhMT4s8/HMjB0VElcqawUF9v6rnq21vsHewb3czMxdlOpOj06cKa165ERESj0VzVm8MNzWHEqD7fxkTGBYdkTZ7qFrsv9LSIh79/p7OfckdHR5H0bo/+uOiO+uFjfRc6mFveNKSfaeiByNCICn+//cFHdGI9JGBAQ1M7i4hlr56dJTxOG3PspK5fl4vPD5ebEH/m/IscHa1FNIWFxSJ1wp2znclB1ehmLs7OIqUFpwvq9blKjYZJT3BZTFS1D++OTo4iGZ7Tlq6Y0cFIJZ1VUUGWiZbOwdlZLf+WnC6orHe7Ya1zIDsnR7WIxbh5q5/2a2h7VbE/vjH3j0y9bafR0wMH9+7SsV0bZxszlYR/Mi0yhcO7MjEJNHCtZe3+K6JErAc+9+GcR+7w79upjb1l9fNjdDwsFwrQadwEX3MxxK35Ykf+RRtpT+wOzT7/o5m7h5OILvlUWt2GmuSUPBGTNh5ujW/m5u4mIqkJCXVP1S/0SqDR7IYF9DUTSdgTkm44sXf/aRGvkSPbn1vt4eGhEslIS6t3TVSbczI6Ojo+99JfHq0HDuljKuURoYfz9occ04nN0JF9L3lHsfPo8YNbiWRs+HJ9/X2fpUvZvbfmDTTuHu4ikpacXPcPjy45JV1E2nh4NL6Zm7u7iGQlJJTU3W3qqWQuEeOqOHh4WIrkpqXX6z+6/MTo6OjYrCYK9g1S57Orz8jMappdAdeMiZu7i4jhVEK9W7TKkk/VeM6M2sPDRUSTllbv0rOhKCU6OjomtVhExBCxeXOmTrynzl384vRbBvfwdrExU4mI6PjWolwEQMC1VlhUKCKunTvVnlKzIDom3TgFAdeSyv32p6d2MJGy8O+XrUsoucCXP93pvcsX/5VZc5F3r952ImlbN0TWPsXP2LQxXCfqbj2rH+/euGZOfn29VFIa8vvfObVaFexYF8xstLgKrQaPGmgpkrxnzz/7QvNE2vn7e59fa969d1e1FAWv31VQ62NvSFv/3qzZsz/Ykd2IUdXWA4f6qUUbsWX5zii92A8P6N2IRz7aBzx+fy9LqTq56pOfYwoucFJuKI76dtHKeF2NRa69eruJFOzaUKdTFO7aEFwsqjY9ezg2vpl5jz7dTUV3+M/1ibX2rjmwbhvfmHGVOvfubSUVYRs3Z+hqLT+9/eNXZ8+euz7x2n9ZMVGbiFTm5hXVXFgcvDOs6mKvAFoKrz59nURy/g7aU+uobUjfsD68Zhdq19vPXiRm87r42mdUmgPf/G/27DdXHtOJiGgLi7Qiap9O7Wv9Lao8GXOS8XCKRQAEXGteXl4qkdS9/5wo/e9LguFM7OaP3/wyvFxESkrqXUEFri8mPlOevtPbXIoPf/fyU699uSU8NiVPoxPRafJSY/cFLXr+yQ92l3bu51tj3kyLgdOn+ZpKwbaP5/0WVVQlIqLXJG//aO6qBL24jrt/nOtlNFN5T5w+1Fp0Md+/+eHf8cVVIqLXpIV8/vY3Ryu5hRJXw3JQwGBrkZT1323PE+kwcmSt+chdb3sw0Fk0YZ++tnR74plKERGDJmXnsvdWJxrUXmNv6dGYc6pWg4b6qUUTGX7CII4jRvZq3HmYc+BT93e3lvJ/g2Y/9dKydaExSdnFlQbRaQvST4Zt/HTmk2/+leXRr2eNhwCbdJ5y32Ar0R744p0fDuVUGETEUJ4V+sWcr45UiM3wByZ3uJxmLrfee4uzGNJ+mzt3XUxBhUHEUJ4T/vM7y3aX0OdwlWz875/cXlUV+/3rCzaeOF09d2J5VtjX8789VqFyHjVuQMOTZF2Jtp5tReT4+p/CCqq/MRuKjwd98O0BbiJGy2fmd9ddPUxFc2D5m1+EpGl0IqIrTti6+N3ViYaax2Pzvvfc08vckPrn22//eiSnTC8iUpUftWbBZ3tKpPWQcSPsRUSs2nk5i+iO7NyRczb+LM88+NOc+evTRURfUkKnUCDmAAKutVb+99zxx7H1yX/875F9HTu4WWiyU1Kzi826TAjs/feWYzlbFr6Wfefjr9/W0dh1AlfMrMsD78+3XrJ4VXhu7KYVczeJiNrcXCoqdCIilp7+T73y7Oj0JdNjj5x7iVvgs0/FLvgy5OjPbzyw2tbNxbwwK0+rF5V9z/teure72eU1az3skRfGZXy8NSn485khX9s6tarIL9AaVM7+D96a/sMGRiTgipkPGDXUZvf24rIykS7+I+rMa2ve496X70tZtPLYrmUv7lph5+FmVZqTfabCoLLt9/Qb93RoXBJiM2hoz88jj+pFXP0DujU2PVG1nTBnodmni74LSU/a/t3720XExNzcpLKiyiAiZq79H5g9c0rVLzOit5x7id3IR5+Pyf7k7/g/5j26vrWru3VpVk6pTqRVp9tfenio9eU1M+t930tTkxYGxUZ+9/qDP7Z2ttcX5Gt0YuP3f1PU3wdFNvJdABei8p78wuMJ731zMPzr1x76rrWbh01FXnaBVi9WXe978xG/S0ySdSU8xkwevHHJgYxt85+IbN+xjUVRSmJ6UYWpdxefzLhT1353wDXlfOvTT8fMWxGStHnx01ssHJwsS/OLKgymXrff73vop23n2zmNfea5fxd8vuv4mrcf/c3axcNBX5CVr9GJabsJrz034r/7FHwn3tt3x7LDB5c99fC6zu3sqgrSUtILKp0HTRyRvi4kLfK71+akznjpoUE8oUZJCICAa86ix/8tXNRm5aq/DyemxZ9y8OrYZ9zEcZMDe9kmeWi+Wh+eeCox55JPtABauNa+U99eMeLIjq279kceT8kpOFNpauPm6d3jpuG3BI7p4aQWcQqccUcbZ7ezLzBtd8srSzv1X/Pn3hOJSck5FQ4d/Dp06X/7PRN72tf8Dty4ZirnIU8v9uyxOmhPdHz8qZxyq7a9h996zwN3uO5++Yfm+x1AgdR+AcMdtm8pEFX9/EdEWve4e96yHhtXbwqPS0xKyyuz9+zWs8+td00d1dGm0QNhbAcN6vbZ0Rjx8B/Z+XJGz1j6jHvls0Hjd23ZsT88KjH79Jkyk1ZO7dp26z9sdOCt/d3NRcpH3XeHmdrr7KmdynXYMx+27xv0266oxKSkTE0r7169OvUeM23qQNeaY/0b2cy21wPvf+wbtHrbkZPxiZml5q7dR46aev9dPaPf+/4y3gRwIRYdbn9jWde/V687EJuYmJxb0tq98009R905bWwPh0bcI3kFnAJeXmT5x69/hJxIST0eVWUQlV23SS+82nvfU3NPNckOgWvI1GvMKx979165L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width="768" /></p> +<p>More diamonds are available with high quality cuts.</p> +</div> +<div id="ggplot2-statistical-transformations-2" class="slide section level2"> +<h1><code>ggplot2</code> statistical transformations</h1> +<p>On the x-axis, the chart displays cut, a variable from diamonds. On the y-axis, it displays count, but count is not a variable in diamonds!</p> +<p>The algorithm used to calculate new values for a graph is called a <strong>stat</strong>, short for statistical transformation. The figure below describes how this process works with <code>geom_bar()</code>.</p> +<p></p> +</div> +<div id="ggplot2-statistical-transformations-3" class="slide section level2"> +<h1><code>ggplot2</code> statistical transformations</h1> +<p>You can generally use geoms and stats interchangeably. For example, you can recreate the previous plot using <code>stat_count()</code> instead of <code>geom_bar()</code>:</p> +<div class="sourceCode" id="cb2"><pre class="sourceCode r"><code class="sourceCode r"><span id="cb2-1"><a href="#cb2-1"></a><span class="kw">ggplot</span>(<span class="dt">data =</span> diamonds) <span class="op">+</span><span class="st"> </span></span> +<span id="cb2-2"><a href="#cb2-2"></a><span class="st"> </span><span class="kw">stat_count</span>(<span class="dt">mapping =</span> <span class="kw">aes</span>(<span class="dt">x =</span> cut))</span></code></pre></div> +</div> +<div id="ggplot2-statistical-transformations-4" class="slide section level2"> +<h1><code>ggplot2</code> statistical transformations</h1> +<p>Every geom has a default stat; and every stat has a default geom. This means that you can typically use geoms without worrying about the underlying statistical transformation. There are three reasons you might need to use a stat explicitly:</p> +<ul> +<li>You might want to override the default stat. <strong>3_a</strong></li> +<li>You might want to override the default mapping from transformed variables to aesthetics. <strong>3_b</strong></li> +<li>You might want to draw greater attention to the statistical transformation in your code. <strong>3_c</strong></li> +</ul> +</div> +<div id="statistical-transformation-challenge" class="slide section level2"> +<h1>Statistical transformation challenge</h1> +<ul> +<li>What does <code>geom_col()</code> do? How is it different to <code>geom_bar()</code>?</li> +<li>What variables does <code>stat_smooth()</code> compute? What parameters control its behaviour?</li> +<li>In our proportion bar chart, we need to set <code>group = 1</code>. Why? In other words what is the problem with these two graphs?</li> +</ul> +<div class="sourceCode" id="cb3"><pre class="sourceCode r"><code class="sourceCode r"><span id="cb3-1"><a href="#cb3-1"></a><span class="kw">ggplot</span>(<span class="dt">data =</span> diamonds) <span class="op">+</span><span class="st"> </span></span> +<span id="cb3-2"><a href="#cb3-2"></a><span class="st"> </span><span class="kw">geom_bar</span>(<span class="dt">mapping =</span> <span class="kw">aes</span>(<span class="dt">x =</span> cut, <span class="dt">y =</span> ..prop..))</span> +<span id="cb3-3"><a href="#cb3-3"></a><span class="kw">ggplot</span>(<span class="dt">data =</span> diamonds) <span class="op">+</span><span class="st"> </span></span> +<span id="cb3-4"><a href="#cb3-4"></a><span class="st"> </span><span class="kw">geom_bar</span>(<span class="dt">mapping =</span> <span class="kw">aes</span>(<span class="dt">x =</span> cut, <span class="dt">fill =</span> color, <span class="dt">y =</span> ..prop..))</span></code></pre></div> +</div> +<div id="position-adjustments" class="slide section level2"> +<h1>Position adjustments</h1> +<p>You can colour a bar chart using either the <code>colour</code> aesthetic, or, more usefully, <code>fill</code>:</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="kw">ggplot</span>(<span class="dt">data =</span> diamonds) <span class="op">+</span><span class="st"> </span></span> +<span id="cb4-2"><a href="#cb4-2"></a><span class="st"> </span><span class="kw">geom_bar</span>(<span class="dt">mapping =</span> <span class="kw">aes</span>(<span class="dt">x =</span> cut, <span class="dt">colour =</span> cut))</span></code></pre></div> +<p><img 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width="768" /></p> +</div> +<div id="position-adjustments-1" class="slide section level2"> +<h1>Position adjustments</h1> +<p>You can colour a bar chart using either the <code>colour</code> aesthetic, or, more usefully, <code>fill</code>:</p> +<div class="sourceCode" id="cb5"><pre class="sourceCode r"><code class="sourceCode r"><span id="cb5-1"><a href="#cb5-1"></a><span class="kw">ggplot</span>(<span class="dt">data =</span> diamonds) <span class="op">+</span><span class="st"> </span></span> +<span id="cb5-2"><a href="#cb5-2"></a><span class="st"> </span><span class="kw">geom_bar</span>(<span class="dt">mapping =</span> <span class="kw">aes</span>(<span class="dt">x =</span> cut, <span class="dt">fill =</span> cut))</span></code></pre></div> +<p><img 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gAAAIg4ARAAAABAxAmAAAAAACJOAAQAAAAQcQIgAAAAgIgTAAEAAABEnAAIAAAAIOIEQAAAAAARJwACAAAAiDgBEAAAAEDECYAAAAAAIk4ABAAAABBxAiAAAACAiBMAAQAAAEScAAgAAAAg4gRAAAAAABEnAAIAAACIuLREN7Al8hfN+r5gxyaNdkxfd83KH2dNzc7b0DYZDVq3rFdlnYXFuQvnL/glpX7jXTOrxDZ+vIotAwAAAEiMbSkAWvDWbRc9VXLaY4P6Nlx31dy37rz6pR82tFGTkx++/7hd1rwunDfi4YFPjp71S3EIIbXmTu0OPuPC07vXS11ns4otAwAAAEigbScAKvjmtXdmhNB8Q+vi2TkLQ0jN2rVZ3Yx1Vu1Ue63hQssnPXPtzS/OzEup3rDtHi1qLp46cebXr91y6Zyzbhrw5yaplVQGAAAAkFjbQAAUL1z6/befvT3kuTezN1ayKHtBUQjNj/6/e9YfHLRG0bTB9700My+10ZED7urfoXoIIb74/TsuHTjmqycefL3rnb0bVEYZAAAAQKIl+yTQk5885/jjTjn3ugdem/zTxqtysnNCSGnQsN6mdlU4/o13s+OhwZEXndGheumiWJ0DLj5732ph5ZQ335lZKWUAAAAACZfsAVC1Bm279OjZs2fPnj3bN9zYcKXlC7KXhVC3YYNN3nc1aey4/BDqdN+71donXbVLj05VQsgZN3ZuZZQBAAAAJFyy3wLW/PCLrji89MdJD5989f9+2VBRdnZ2CKFhw4YhXrhs0YKcX9Lq7rpzVkbZJ3Itmj17eQhp7du3LbtxlfbtW4Uxk+fPnVMcGqdWcBkAAABA4iV7ALQ5irNzFoWQXjzjxQFnvflFTmEIIcSqZrXoefw5Z/ypda1VOdDCnIUhhFqZWesOetohMzOEUJyTsziE+hVcVkZeXt6cOXPW779+/fppaVF4IyIgNXVVaheLxbwpJJtYbNXlLDU1NSUl2cdvsl1x8SSZuXgmRlGiGyCi/JaB8ojC359F2QtKQiiZ/O6wjDpN2+/VuE5sybzpU2fNGPXo5RMmXTLoigN2DCGE/IL8EELNWjXX3Ty1Vq3qIeSVrq/gsjKmTp3av3//9fsfOXJkZmbmlp41lapq1apVq1ZNdBewYa4YJC0XT5KZi+fWVLLRh7dAuWRlZSW6BdiGRSEAys7OCSHUaHX0pVf9tWvd0v+EXJkz9j+33fnGrI8fe+SDDlftnxVCSUlJCKFKepX1tk9PTw8hFBUVhVDRZQAAAACJF4UAqMM5T758VkhJS09dM+tPeoPuZ17YZ+KFz8/55N1Pcvc/vGZpWPzj8rzl622/fHluWB0mV2xZGVlZWb169Vq//5KSkhUrVmzu2VKZUlJSShO84uJiIR7JJj09vfTmhcLCwng8nuh2YA0XT5KZi2dCpCe6AaJqK3xvMpSVCItCABRLTU/fwHzLKc26dan7/JwfZ333XQh7hNo71g7hx9xluevWFSxbVhxCrHbtrBBCBZeV0axZs9tvv339RhcvXrxs2bLNOlUqWXp6eun48JUrV+bmrvfuQkJlZmaWfofJzc0tHYUIScLFk2Tm4pkQtRPdAFG1Fb43CYCIsEjPhJeVmRVCKC4qiocQsnbMioWwfMGCdS8ZOTk5IYTM2jumhgovAwAAAEi8bT8Ayhv/9K233nrHS5ML110Tnz//hxBC02bNYiGEtNatm4UQnzx+fEGZqkXjx88Lodqee7YKocLLAAAAILks/PBfd9xxxx33vTMv0Z2wNW37AVD1uinzPv304yHPvv1DmUG98YVvvPRhXkht3qVD6d1Yu/Tct2ksrJzw7qicNbd/F84a/t6MEHY88LDuGaESygAAACCpLBh+z5VXXnnlTcNmJboTtqZtPwAKTY48eb/MWOHk/1x303OjJ8/J/nHhvKlfDH/86ssfn1SQ0rjPeX0aryrc5U8nH7RjWDHx8Vsefn/awoLCZfMnvjnw5hfmxFOb/enw9qtv2arYMgAAAIBEi8Ik0Jk9L7nnmrp3DBo6/vl7xj+/enHKju36nHvhiS3XnGL17udcc3LOTc9NfnvgZW/HYrF4PB5CWsN9z7vqL03X2l/FlgEAAAAk2DYUANXYebc99sjbqV6V9Vel1ut++u337fXB6I+/nrHg58Jq9Rs3bdamy357N68ZK1uY0fq4Wx7o9MHwUV/MWLB0ZbXau+7e45Be3RtVC5VZBgAAAL9T4c/zvpv9w5KiWg2aNG1Wr3ps3fUrf/hyzPSlIdRvd8BuddfbevGUDyblxEOtFnt33rVq+Hn6mK9+WDljTt6qDd9/P4SQ2bJHx1028E2biCkdt0IiLV682LuQJFY/ybigoMCTjEk2mZmZ6enpIYQlS5Z4kjFJxcWTZObimRC1i/ZJdAtE05K0MZV9iLp1109QEqdk0SeP/N+1gwa/P31pcemSjJ26/Pn0q269um/rGmvKch7cr+F5H4VwwkvxwX3X28mrp6T3frYodL179rhLm4SRf6/X65Ef1ynZd9D8Dy/cpfLOgySxDY0AAgAAgO1DwTcPHdvrvDcXlBksULBg/Mu3HvvGsPNfG33fH+v9jr3u2LrngQcuzf1u7Odz8kL6zh17ts4KYY9dq1ZQ0yS1CEwCDQAAAFFS/MVNfylNf+odcNl/3vps5qKfc2Z8PuyOE9rWCGHFN/cfd/YLP/2e/Xa+eNh7773371MahxBC5lGD3nvvvffeu69vMo17otIIgAAAACCZZD991aBv4iHUP/Jfnwy/66+Hd29eN7N+iy5H/3Pwe/85rn4IYemwgf/2DHe2jAAIAAAAksind98wPC+E2B4X3nlmi7KzMzf8yxWnNQshxCd8NrYwMd2xrTIHEAAAACSPHz//fE4IIezX/8y266/t9M+3P+37Uwg1Gm/tvtjGCYAAAAAgeUyfPj2EEDJbtaq/gbWxuq33MmcPv4NbwAAAACBp5M2Y8UMIITRq1CjRrRApAiAAAABIGukZGakhhLBixYoK2Fs8Hv/tIrYLAiAAAABIGumtWzcLIYQ5s2dvMLuJr8xfvnz58uUrijdjZwt/+GFzytgeCIAAAAAgebRs3ToWQij8bMz4DYQ3K4aeVr9mzZo1O9/4TdkVRUXrV8cnTfpmvYVspwRAAAAAkDxq9DrioIwQwqzHbn9xyborf379v//LDSHUPuCA9qVL0tJKn+40bdq0dYsXPjvw2ZxK7ZVtiAAIAAAAkkij/nde0DoWwrKX/3HktSNz1twIljftX387/+WfQwg79T22Z6x0YZ3dd68fQghfPzjgpeyS1bXxJZ/cdtLlby3b+GFWFBRUSvskKY+BBwAAgGSS1uXqe//+0tEPzVoy5pZDd3uhx349u7TOzJ09dvjrn8xbEUJo0v+Ju/9Y49fqrsce1+zhB76L57xwXLvpx53Wu3uTjEXfjhv1+qtjf1gZsrIyf/55adndV69ePYQQlr1+64X3zGqdktn9jBO71dqqJ0gixMwInnCLFy/2LiSJ9PT0zMzMEEJBQUFubm6i24EyMjMz09PTQwhLliwpKSn5zXrYalw8SWYunglRu2ifRLdANC1JG1PZh6hbt25lH2LzLf3i4f7HX/LijLLDdFLr73vuwMduP3m36mstzP/8jiOOunbUgqJ1dlG9640v9xt1+KWjQ9e7Z4+7tMmqxSXjr9t9r5un/jpl0L6D5n944S6VdBYkDyOAAAAAIOlkdv77CxMOGf784Nc/mDg7J7fKTi13a7tbtz/1O3qPrHVLq3W9YuSMY954/OkRX02bPn3a1CkzF1dtsU/ffw68ud/Oo5YceGAIbRplrClP6XL9yFE7DXpi1OTsvGp1d96nY82teFokjBFAiWcEUPLwn9gkM/+JTdJy8SSZuXgmhBFAVJLtbQQQVCyTQAMAAABEnAAIAAAAIOIEQAAAAAARJwACAAAAiDgBEAAAAEDECYAAAAAAIk4ABAAAABBxAiAAAACAiBMAAQAAAEScAAgAAAAg4gRAAAAAABEnAAIAAACIOAEQAAAAQMSlJboBAAC22CUzr0x0C0TTPS1uT3QLAFQKI4AAAAAAIk4ABAAAABBxAiAAAACAiBMAAQAAAEScSaABAAAgiRQVFa1cuTKBDaSmplapUiWBDVAZBEAAAACQREpKSo6qcWoCG3g19ykBUPS4BQwAAAAg4gRAAAAAABEnAAIAAACIOAEQAAAAQMQJgAAAAAAiTgAEAAAAEHECIAAAAICIEwABAAAARJwACAAAACDiBEAAAAAAEScAAgAAAIi4tEQ3AAAAAGz7fvr40ftGZG+ypP1x1/fdbTN3V/zV4JuHTcvoeuoVf25W/uYQAAEAAADlt+SjRwYM+HKTJSe03/wAqOjL/w4Y8EbWOfsKgCqGAAgAAACoKLuffNdZXdM3vK51hy3YUWp6RkZG1TRT11QQARAAAABQUZofdv6FJ1Ut/36qnvxK/snl3w2/EgABAAAAW13egolffj1lypTvFqfU2aVR6+5/2Ldlrdia1fGJz9/4ypQ1cwBNHXrLkK+zDjz3HwfUWzF79AvDPppY+893ntopUd1vewRAAAAAwNa0YtZrN5/zjzvenb9yzbLYDrv1u+fVp85otSqoKPl6yIABw9bMATTllZsHPNt0QN+/LB/wh74PTSoINc/sduepieh+GyUAAgAAALaeFZ9cfUjve2aF2p1POfevB+1ev2r+gkkj/vPw4K//e/Zxu/eYcM3uG9+0ZOZDJ9792KLuZ93Qu0ub/Qz/2RICIAAAAKCifDf84Qd/3sAk0LU6H3dqj3ohhPDxM8/MiocWFwz76N79qq1a+7cz90pt1PvZL0e9v+Sa3WtvdOfTnnmk6O/Dv3mwV+3YRmvYMAEQAAAAUFEmP33xeU9vYHnTK/cuDYCKGxxyxd0t0tr1WZ3+hBBCzdatdw7h5yVLfgph4wFQqHbYNTdJf34XARAAAABQUVofc+2Je24gbMjad+fSH1Lb9bm03dpripZ9P/XzYQMe/2Yz9t6mZ886FdDk9kgABAAAAFSU1sdce/1vPga+YM7o/z7z8vCPxk+eOnPWvIV5xZu798aNG5ezv+2WAAgAAADYauLzXz7zoJOfmFEQqtZp3XnvXqf2bdV69477tPr63P2v/+K3Nq5evdpvlbBhAiAAAABga1n++j/PfGJGQf0j7nntifP3qrc6lpgzMyWRbUWfAAgAAADYWiZ9+OHPIbQ96/aL96q39vLFixcnqqXtg3wNAAAA2FqysrJCCEt//HHlWgvzvrn/mn99F0KIx+MJ6ivyBEAAAADA1tLqj4e1SAkL/vXXPtc/+eboD0e9+vSgSw/bvfOFnxZlhhCmvv30iAk/5Ca6ySgSAAEAAABbS0q3G4cMPKxx2uw3bzz9iIP2/0Pv0y6+f2LTf7zyxehL90wNBR/fdMg+17yf6CajyBxAAAAAQLnV3vecAQOyQ+s9fytpqNb1ov9NPeaT4R98OT27pOHunbt069y2XtUQjnhv4t5vDP/ix1r7dQkhpOx5woABHTO6Nl+1Vdtjrh3Qsqj97pV8FtEVc3tdwi1evNi7kCTS09MzMzNDCAUFBbm5Bh2SXDIzM9PT00MIS5YsKSkpSXQ7sIaLZ0JcMvPKRLdANN3T4vby76R20T7l3wmsb0namMo+RN26dSv7EJujsLDwzxknJbCBV3Ofql69egIboDK4BQwAAAAg4gRAAAAAABEnAAIAAACIOAEQAAAAQMR5Clji1a5dOxaLJboLysjIyMjIyEh0F7BhtWvXTnQLsGEunlvVzEQ3QERVyAy4Jdnl3wdsQJLM0AzbKAFQ4uXl5SW6BVZJTU0t/eqycuXKwsLCRLcDZWRkZKSmpoYQ8vLyPDqQpOLiCVGyfPny8u+kWvl3ARtSIZ/PTatRo0ZlHwISRQCUeAUFBb7LJYn09PTS7zDFxcX5+fmJbgfKqFKlSmkAVFBQ4DHwJBUXT4iSCvlbLACikmyF3zICICLMHEAAAAAAEScAAgAAAIg4ARAAAABAxAmAAAAAAAUolEwAACAASURBVCLOJNAAAACQRNLS0v5XODiBDcRisQQenUoiAAIAAIAkkpKSkpLifh0qmI8UAAAAQMQZAQQAAABJpKioqKioKIENpKSkVKlSJYENUBkEQAAAAJBESkpKep30QAIbGP7MuQKg6HELGAAAAEDECYAAAAAAIs4tYACwUd2feyrRLRBNY086LdEtAADbFyOAAAAAACJOAAQAAAAQcQIgAAAAgIgTAAEAAABEnAAIAAAAIOIEQAAAAAARV64AaO7zF/bp0+fC5+f+VmHBiBv79OlzzN1j4uU5HAAAAAC/Q7kCoGVTRg0bNmzUlGW/VZixZNJrw4YNfevLReU5HAAAAAC/Q9oW1pf8NOfbH3JXvZi+sCCEULBw+uTJm9qkcPHYoWNLQgi5ubkh1P9dfQIAAADbisIl3035dtq06dO+WxTqNm3RokXb9ns2r72lGURF+e7Nu57+PK/tMdcev0dqglpIvC39w89/5Zz2Z75dZtGMh/q0f2hztq3eps2uW3g4AAAAYBsSXzLhuVv/ec0DI+auKLO8WrM/nnXV/13x1547pW/1nma9ceeAR37s3fJKAdBWEKu7/03/PKLK1jocAAAAsJXljb/zyEOvHLU4HqrUabVX186dOrVvVOXneTO/fu/1EVOH33vWuy+N/O+Y/57Q2BOptr4tDYAyDr9txIjLVr347ukz+z89u+mp//r3qc02uVUso27LPds3rrX9Bm0AAAAQbfEZj/Y55IpRP4VaHc6497lBp7eruda6X6YOufzY0x+b9PxphzZr8uVtPaomrs/t1JYGQKk7d/zDzr++mPxRzRBCzeY9/vCHdhXbFgAAALAtyX76gsuH/xSq9Lh1zOir2q9zB1Bshzb9Hn0v/mObk16Z8uC9r1/X49jqa68u+mXu5AlfTPhy5rLarTt26NixXaMNDiHZvLLiZfMmfj72s6/mV23RrcfenVvXy6i4k9yGlesWsF2PvWtI26WZ7c3sAwAAANu18ffe/L9lIaXNRfdftm7686u6J1x79XM/vLQke8LYwmMP/LWoYMaLlxzf/+Evlq4p3LHbRf8ecscxzdfez+aVFc1946pjT7l73M+/LkjZ5egH3z6z/Ke37StXAJTZ7rDjDf0BAACA7d2koUNnhJBy+JVXd9n4JM8pnS5985NLyyya9/iRnc8csSzU6XZS/+MO3C3rp8mjhjw2eNygvp1nPvnta6fttEVlPw07vdsxzy6MpzU+4NQTj+zWqHD6+y8++cLf9/u0QX4lnfY2pCImgS5cMGHU6E+++GbesqJNFzboddFFf2hQAUcEAAAAksfSzz6bGkJo2qFD5pZslvfW9deOWBYaHv34Ry/8rUXpSJ4zLzh9vz49z/3f69fd/MEJD+5fdbPLir+448rnFsbT9rzg7RGD/lAvFkII51585r6997/gnRUbbWG7Ud4AqOi7Vy449m9lhmBtXPuMkwVAAAAAEDXZ2dkhhFjbtq3XWZE/7qk735q9bnnr3lf365Aelr5w39PZIbXr5ff8GuuEEELVtufcdd6Db984+V/3Dxu4//EZm1kWH/7gg1PjocFpA29flf6EEELGbucPPP+Rd67/psJPeVtTzgDo+8fOOPnhL1aNpEqvVbd2jbTYxqvr1NxqT50HAAAAtpb8/PwQQiwlZd0HvOeNfXLAgNHrlh/R9LJ+HdLDjKlTi0Po2Pvo5mVXx9r1PrrVjZOnTZ8+O4S2m1k2f8qU3BDq9D6hV7WyZe36nbDn9f/3dTnPcJtXvkTm8/vvfC8/hFC7xyWPPXbNke1rb2SeJwAAACC66tatG8LMksmTvw2h89oraux73qBBvde8/m7YDfeO/qn055UzZ84LIaVp08br7a9JkyYhTJs5a1YIbTezbMaMGSGEFi1arF/VrFksfB0v3xlu88oVAC2bNGlOCKHmYfe8MrBvwwrqCAAAANi27NKpU73w2aLZEycuC51rrbUio0PfCzuseVnw3OjLV79YFcnENnArUVpaWgihqLAwvtllVapUCSHENlBWZYcdqoWQt6XnFDHrjs3aInNmzw4hhK5H/Fn6AwAAANutWI+jjqwXQvydewdNLt54WfG4MZ+tXP2qSosWjUIo+e67uesVzp49O4TQomXL2GaXNW/ePIQwc+bM9aoWzp69vac/oZwB0NKlq+Z+3sS8PwAAAEDUVTn8pjsPrRVWTrjl7Pumb+RuqxXjb7zw3wvWWtCydeuUECa+9tqsdSqnvvb61BDS2rRpsfllDdu2zQzhx1efH1VQtir79dc/L8+pRUS5AqDWbdumhBA+HzOmsILaAQAAALZFO5/2wI37ZoQVH19x0B+vfGnaOmNu8ma8OuDoo2+eUJyaumZh5nHnn9IgFI+967KnZq8ZGFQ47dFLB31ZEnY547ze1Ta/LPaH887fPRYWPHnpNaMXr46giuY9f8mNI/Ir6Zy3JeWaA6jeXy466aaRz3z//KUXn77/g70yK6opAAAAYBsTa3n+s099ddipT04Zccdf9nxqj557d2rXru2uVX+a9e3kce+P+OKHol2PfGDUIW8cdMHbv25S44gbbzr45bNGDT29+/6jzznhwN0yf5o08rmHn/38p5B51K3XH1RtS8pS9rjklpMfO+aZL+/5Y9ev/nbKkd0al8z66MXHn/5kafv2LSZNWv/WsO1L+Z4CVvvPDw+7+4cjLx/5UJ99Fv3z1hsvPLLtDuUaUwQAAABso1KbHPefT9scfNNl1z00Ys7EUcMmjhq2ak16/e5nPnTvbWfvXfe73D3XBEAhNO7/xvhaF59w9qOfPnnTp0+WLovt2P3ixwff3menLS3bsfd/Pn+tft9TBo4b+ehNIx8tXbb3pS8/0+7hVn/b3gOgWDz++x+Elv3uwIHDs4sXfPDkc2N/CiGEWNUdd23RfNfa1VI3WN/sb08/fXqz3324qFq8eHF53gUqUHp6emZmZgihoKAgNzc30e1AGZmZmenp6SGEJUuWlJSUJLqd7UX3555KdAtE09iTTivnHi6ZeWWFdALruKfF7eXfSe2ifcq/E1jfkrQxlX2IunXrVvYhNkdhYeHB/e5LYAPDnzm3evXq5dpFPG/+5++9/+WsH37MTc1s0Hi3nr32b5O1KipYmbc0L149s0b6WvVFS+dMmjDhy69m/pLVqkPHTp3bN6q1oWBh88qKf5k3cfy4zydMX5qxa8deRxzUOrP4q8G3DpvW9phrj99jw3nF9qBcI4AWj3ny7rsnrbUgvuKned+Mn7ex+p97mXYbAAAAoi5Wfddufz6p2wbXpVfPXG8KmbTMJh0PbNLxwN/Y7eaVpe7QqONBjToetGZJSod+13fY+Abbh3IFQLVa73/EEU03v75x61rlORwAAAAAv0O5AqDG/R58vV9FdQIAAABApTBlMwAAAEDECYAAAAAAIq5ct4D9/NWrr3758+bXZ3U8+ugOWeU5IgAAAABbqlwB0PfDrv3rgEm/Xfer9gMmCYAAAAAAtrJyBUCbr1qD1i3qVWlZv+rWORwAAAAAq5UrANrtyjE/X1SywVXxotyc76Z9M/b1+2978L35hQUlO/d79JWr99mxPIcDAAAA4HcoVwCUUrVW5kbH9GRm1dmlTdeD+pz+t9v/2OOqj0Zfc8TJu05889RdynNAAAAAALZY5T8FrFr7K4fceUB6CD+9dcN94yr9cAAAAACUtVUeA7/L4YftGUIIs6ZMKdwaxwMAAABgja0zCfTOu+wSC+PjOzdtWmWrHA8AAAC2UWlpae8NuTCBDcRisQQenUqyVQKgki8nfB0PIbRp02ZrHA4AAAC2WSkpKSkpW+V+HbYnW+EjtXTczZc+MjuEsEOrVvUr/3AAAAAAlFGuEUAL/nfrrW8t2ERBcd7CmZ+/P+rrnKIQQqOTTtqvPEcDAACA6CsuLi4qKkpgAykpKenp6QlsgMpQrgBoydjBDzwwabNKq7Y48/7r988oz9EAAAAg+oqLi3d75IEENjCp/98FQNFTrgCoSt1mbdv+RiqZUmOnth17HH3eFad23KE8xwIAAADg9ylXANTqH699+4+K6gQAAACASmFecQAAAICIq/gAqCg3Z+Y3U+YuKSip8F0DAAAAsOUqKAAqWfLFs1f03bdDiwY1M2o1bNlutyZ1qteo06T93kdd9O/PfiyumIMAAAAA8DtUQAD040cDT+jQvOspd77y8dezFi7/Ne2JFyyZO/mz1+/tv3eLjifc++nP5T8QAAAAAL9DuSaBDiEUTrjt8MOu/nx5CCGk1u34pyP23b1ZkyY771C4cM6sWd9+8uYb47JX/jLp+Yv6xBt9/fwx9SqgYwAAAAC2SDkDoNkP/GPA58tDiO18xK1P3HfBoc2ql12fP+fdBy742xWvzc9+of/ph+/9xl93Lt/xAAAAANhS5bsFbMqzT3xSGEJG1+tfffHK9dKfEEK1Jodc/vywAd0yQljy5v97anq5jgYAAADA71CuAOiXMWMmhxBSe110WdeMjVZldLn84j+mhRC+/uijZeU5HAAAAAC/Q7kCoIULF4YQQtsuXWpssq5a1667hxBCTk5OeQ4HAAAAwO9QrgAoIyMjhBCys7N/o3BVRfXq698kBgAAAEDlKlcA1LBlyxohhMWjR3xZtImy4okj3lsYQqjVsmWD8hwOAAAASEZfXdcqFovFOt6+0cl/fxi0b0osFmtzzYSt2deGxJdMePayQ5pkxNZRvfmhF/3r4wUrE9HTyL/Xi8VifZ5bUXmHKFcAlHbw0X+uFUKYeme/i0cv3UjRLx9eevxt34YQah5+5IGp5TkcAAAAkIw6nHxy+xDCV4OHfLPhgh9efnFMPIQ2/fp12qqNrStv/J29Wnc5ZeCIufE6rfY69Phzrrzplv+79JyTDmmzQ8F3w+89a79upwyZW5LQFitJ+Z4CVr3PwAePrhPCyikPHNZu/7/f9/Y32ct+jcpWLsv55u37zz2w3SH3frsyhNROV1x3dDnvAMtfNGvGvJ82lcUV5y6cM33GvKWF8U3uKCFlAAAAEFVtTj6lWwjh6/8Onryh1d+//NIn8RDa9+vXfis3trb4jEf7HHLFqMXxWh3OeOKL2dM+fXvIw7dde/UNdz/87PBv533737PaV41///xph17zSSWOxEmUtHJuv+spTzwxqnOfJ+es+P7DRy48/JELQ0q1Ojs3qJaf88Pi/NWRWcouff718lXty5c2hQVv3XbRUyWnPTaob8MNrC2cN+LhgU+OnvVLcQghteZO7Q4+48LTu9dbd8xRQsoAAAAg2lqceHKPq8Z9MmXw4C9vurnjOiuzX37xo3gInU/s12bNwsIlsyZ+MX78V3MK6zTZba9eB+22Y5nYYOrQW4Z8nXXguf84oN6K2aNfGPbRxNp/vrXDlFuHTYu37n1Vvw5Vyhxh7tt3/+ez5Tv2PPuCXhvKDEq7ePqCy4f/FKr0uHXM6Kval90+xHZo0+/R9+I/tjnplSkP3vv6dT2OLTOIpeiXuZMnfDHhy5nLarfu2KFjx3aNam3ou//mlRUvmzfx87GffTW/aotuPfbu3Lrexp+sXnHKmcmEEGof9cTXXz9/7REtV/3JlOQvnj97/ur0p3qLP18z5KtvXj69WTlTkYJvXntnxsZWLp/0zBWX3zdyVm7Vhm336tm15Y4rs79+7ZZLB7w5pzjhZQAAABB9u55wyoFpIcwcPHjcuquyX3np45IQuvQ7ofWqJUvHP3Ds7ju16HrIcWdfdvn5px/Xa/dGrY665f0la2005ZWbBwx4YHTOwrf+0XW3g069+LqHP1yYtsP8NwcMGHD+/aPW+eI9+T+XXz5gwEPfhHobb3D8vTf/b1lIaXPR/Zetm/78qu4J1179p733bpc9YWzhmqUFM148d6/GTToe2Of0iy674NSj9u/QuEmPi1+ZVVh2480rK5r7xuU9GjfudPCx51x80elH9WzbsGWfRyblb7ztilLeEUAhhBDbod1xN73e57wvR3345fSZM2bMmPl9bo1dWrRs2bJlqw77HtypYXq5dh8vXPr9t5+9PeS5Nzf2sLGiaYPve2lmXmqjIwfc1b9D9RBCfPH7d1w6cMxXTzz4etc7ezdIYBkAAABsF+ofd/IfLxz11qwhg8fe3q17bM2KBS+/+HFJiPU48fhmIYQQVoy5bK+DBk4trNnumAtPPXSPhkVzx732r8feef3aQ/dfNvLz23uuNR6mZOZDJ9792KLuZ93Qu0ub/TqFZq36dvrn2AmvDf2g+LCD1gw0mTxkyKQQGh5/4kEbH3wyaejQGSGkHH7l1V02HlOkdLr0zU8uLbNo3uNHdj5zxLJQp9tJ/Y87cLesnyaPGvLY4HGD+nae+eS3r5220xaV/TTs9G7HPLswntb4gFNPPLJbo8Lp77/45At/3+/TBpUeAVVEAFQqvUHHQ4/teGiF7a/U5CfPuWHYDwWbnH+pcPwb72bHQ4MjLzqjw6phSLE6B1x89mcTbvtoypvvzOx9aouElQEAAMB2ok7fU/70j7denfv84DF3d++5+pajha+89EFJiO3f7/hGIYQQpt93yb1TCzP/eN/nr53fsmoIIYRTzz3/xCv33f+OiXf//Z5Tv75699W7nPbMI0V/H/7Ng71qrwqU6h9zTIcrJnz16tCPHz5o/18P8dWQIVNCaHTCSfttPP9Z+tlnU0MITTt0yNySc8p76/prRywLDY9+/KMX/taidODQmRecvl+fnuf+7/Xrbv7ghAf3r7rZZcVf3HHlcwvjaXte8PaIQX+oFwshhHMvPnPf3vtf8E6lzzpU/lvA1lJSUiao+SV7/rLy3gxVrUHbLj169uzZs2fP9g03klZNGjsuP4Q63fdutfbZVO3So1OVEHLGjZ2bwDIAAADYXuxw9MlH1Qrhh+f/+/6afCDnlRc/KAmpB5x43C4hhBDev+fOz4pC52se/jX9Kd20xw23n1IvFE98adi0tXdZ7bBrblqd/oQQQsu+ffcMIWfY0E9WLxo/ZMiMEFqceNJesbBR2dnZIYRY27at11mRP+6pG9Y3+KuVIYSw9IX7ns4OqV0vv+fXWCeEEKq2Peeu89rFwrx/3T+sYPPL4sMffHBqPDQ4beDtq9KfEELI2O38geevibwqTUUEQEULP33i8mP22a1hvdP/t/byD69qtWPtZt2PuPjJibm/d9/ND7/oilVO7LThh4gtmj17eQhp7du3Lbu8Svv2rUII8+eWTsmTkDIAAADYflQ74uRjMkNY8OLg0UWrFuUMfenDkpB2cL9jS6dKWTh58o8hNNq7Q42csn5u2rZtCOGrzz8vWmuPbXr2rFP2GLv17btbCPOGDRu/asEXzz8/I4RWJ57YdVOt5efnhxBiKSnrBiF5Y58csL7/flkYQggzpk4tDmGP3kc3L7tRrF3vo1uFsHL69NmbXzZ/ypTcEOr0PqFXtbJl7fqdsOemeq8Q5b4FrGDy/X3+cOHbOfEQQsZ6f9bFv8we9+ag00e88cZ9rw4+a/fyTQa0EQtzFoYQamVmrfse7pCZGUIozslZHEL9xJSVkZeXN2fOnPVPoH79+mlpFXcvHuWQmrpquGAsFvOmkGxisVX/R5Camrr+by1g2+K3DEmrYj6cRb9dAr+Di+c2IeOwU/5S76l/L3p58MgHDz40PYQfX3lxdElIP6xf31U5zrRp00II8x46tOFDG9xDyZIlP4dQ99eXjRs3Xrdi975921x/89ShQ7+8q0vHEB875PnvQmh30ombzlDq1q0bwsySyZO/DaHz2itq7HveoEG917z+btgN947+qfTnlTNnzgshpWnT9ZoITZo0CWHazFmzQmi7mWUzZswIIbRosf6UMU2aNYuFr+ObPIHyKuffn5VjB/zlordz4iFUa7LvMSf02W3tld3/8egtNQc/+cTb0/NmvHze6ffs/+kVbTcxGuv3yi/IDyHUrFVz3RWptWpVDyGvdH1iysqYOnVq//791z+BkSNHZmZu0S2IVLqqVatWrVr1t+sgEVwxIAKysrIS3QJsWIV8OEs29vAWKB8Xz21D2kEnH7/Lvx/4/uXB7zx46BFVFg196f3iUPXwE4/5dRxP6ewxTf/0z7923/B9Po26rv1Q9OrVq61X0e6Yvq1vvnXa0KETb+7Y/pMhz88NofNJ/dquV1fGLp061QufLZo9ceKy0LnWWisyOvS9sMOalwXPjb589YtVkUxsA2FGaSJZVFgY3+yyKlWqhLX+Z3ctVXbYoVoIeZs+g3IqXwD0y4s3D/q2JIT6f7pv5Avnt69Rdm29rqde3fXUi897rN+BZ7+aPfamK4ac9Wq/Hct1wA0p/exUSV//GW7p6ekhhKKiooSVAQAAwHYlZf9TTmz8wF1zh/737UeO6DH0xfeLQ7Wj+h29+j8xW7ZsGcKiWnudcf3/rTsbz2br1Ldvs1tv+2bo0GkDlg15YW6IdTup32/tLNbjqCPrPfLEonfuHTT55OvabWy26OJxYz5bufpVlRYtGoUw+7vv5oawzrid2bNnhxBatGwZ2+yy5s2bhzB/5syZITQtW7Vw9uzKTX9COQOglSPeGL4ihLT9rn9svfRntWptznrsphf+13/k8o8//ir0O7A8B9ygrKysEH5cnrd8vTXLl+eG1SlxQsrWbbRXr17rn0BJScmKFZU+3TebIyUlpTTBKy4uFuKRbNLT00vv/CosLIzHK3d0KFDZ/OonaVXIh7NSJn6ArXLxdB9AhYh1P/mk1nfdNu21wW/Oy37pveJQ/agTj15z/8xObdvuED75/+zdd2BV5d0H8CcLQhgZhCXKkqWyREVQlIBaRXHvitattba1at174kLb+tZRrdhq3dWitiqKgAKK7CUyBWSEDQkhhIz3jyCQAIom4cbj5/OX95zfPed3yPW5Od+c85wv33tvwW1ty9wxtWnU/afc/EHewdf9Z0Df7W63Kafrqae2uP/hKW++Pmjla4tCfM9zzmrxvX3V6Hv3g0e/dsH7E+697M9nffKHNju6RWnjuLt+/8ySbRa0bts2Pnw9ZfDguTf/ocz8Pl8NfvurEBLbtdt718sat2+fGkas+M8rQx89os+2lzktffvtsd/bf0VVKABa8vXXG0MIex9+eNPvrGvYs2eb8NG0lV9+uTxkNajIHnckIz0jhBW5OdtNNJ2fk1MUQlxGRlrMyspo2bLlgAEDtj+AlStX5uTk7NKxUsWSkpJKb67ZtGlTbu6PnrscqkRqamppAJSbm1vuoYvAT46vfqqtSvlwZlR8E7Aju2HwFABVkk7n9u90/22TBz9+0YJPC0Pd084+bptrRuKO+O3v9ht0z+i7zn+g5+Dru34b9WyY+OAf7n5nTEGfX77yfelPCCEccMopzR8eOPGhq+etCQl9fnnmHrvS1x6/evyuZzv+4dOR1/f+RfZj/3fbaW23vQktb/Z/HrzyN/dMKEpICEXfPtgp9YzfnnvjB8+Peeja509+5VctNifcBTOfuuaxicWh6SVXnlRr18vijrjyt/v+7Z7pg665+ZcfPpxVvzSCKlz4ytV3fbj9PDKVrUIB0OY/QW/atOl7CvPz80MIYf369SFUegCUlp4WF8L6JUtyQqdt7+IL2dnZIYTUjPSEmJUBAADAz84+5/Tvett144cNGRVC2kln9y0zjU/C/tc9dP7f+z338Q29u4867/Sju7evu2rSO0/99dVpG2p1u+uBcxvubKtldD/1lKYDH120Zm1IPOqc0xvvWl9xrX/7wvOTjjlv0IwPHzi90/MdD+2+/377td+z5uq5X077YviH4xcX7nn840OPeqf379779i21+911d583Lh365gXdDh92+VlZ+6SunvrRi0+8MHZ1SD3hvtt71/ohZfEdr763/9On/HPiwF8cOOnCc48/qFnx3E9fe/Yfo9d26LD31Klzdu0ofqQKBUBNWrSoGT7bOHfkyKVh/+/41142evScEEJS8+ZNKrK7nUhs27ZlGDN32rhx+UdnbXMJ1fJx4xaGUKtTpzaxKwMAAICfn1a/PPfQG8aPLA4h/dRfHlN++ty6ff82bkizc/vf8+Hgx6cNfrx0Ye02J97516duLTMD9HeI63HqyXs8+vjiUPPoX56S+f31myU0P+O5z9r1ufvaW//64fwpQ9+aMvStzWuSGna7+K9/uv+y7pnzcjttDYBCaHbJO+Pq/uGsy576bNDdnw3avPf0bn949qUBJzf5oWXpJz03dnDDU8995IuPnrr7o6dKl3W/5o1/7vdEmwurcQBU46h+R9V8+Z2NI++84Mlj3r689Q43VrzguYtuHxFCSOrT98gquZqu6aE9W7w49+sJQ4Zm9zq20eab+ArmfvDx7BDSs47plhzDMgAAAPj5aXrOvY+vHbYsxLU79cjtH58UEhr3ueOD2Zd/OXHchIlfLgmNWrfb/5BeHRqWiRXan3LLHa0LO+y7kz3Etd+nXQiLk48755Qf+Hy41M7nPjyk/13fjP14+MS5i1fkJqQ2arbPoUce3i6t9F6eva8euebykpStt63VanvWk2P63jh1woSJk+asS2vTucv+XTvsVbf8nT+7VpawV7+HR8///ZRxX4ydMGtt8p5djuzXu21q0aS1d9xxYPtOFXxW+3ep2KbrnXn7Nff9977pK967slfvSdfd9IeLjmlbZ+s0SgWLPn3+4Tvv/euHy0Oo1f3uh/pX/iPAQgghND22f++37xk65dl7n6h95WkHt6i14qsR/3z01fklCS2P7dshIaZlAAAA8PPToNevb+/1nRVxKY33PeS4fQ85bifr25188+0n7/ztS197dUQItY8/58R6P6a/uJQ9DzrunIN2uC4pJTW1/LLE1OZdspp3yfqeze5aWUK9vbr03qtL761L4juffXvnnb+hMlQwW0o88PbX/zwu68r3ly3+9Mmrjn3yj3Ua7dl8r72apBav/ObreV8vXrOxdJ7Sg8WBOgAAIABJREFU9KP/9PJ1HassyErpdvnN/bPvfnHae49c+15cXFxJSUkIiY17Xnnj6S1iXQYAAABUrqLJTzwxoiiknvTLY1O+v5pQ4QAohBr7/OadyV2evfuGO5/+dMmmTbnZ86Zlz5u2dX1cvf3OuP6B+/9wXPMdPWDth6i9xz4dO+Y1abCDa8dCSG57xr2P7z/ig6HjZy9Zu6lWxp779jjqyG571aoOZQAAAEDlmPbqPe/MXP3J8/83uSS0uOTKfmZg2UVxm5/kVXF5c4e8+p/R02fNnj171tcrExq1atumbdt2XY4685QDMt0Q9V1WrlxZaT8FKmbLY+Dz8/M9Bp7qJjU1NSkpKYSwatUqj4Hfbbq9+HysWyCaxpzzqwpu4eo5N1RKJ1DOwL0HVHwjGYWHVHwjsL1ViaOqeheZmbs+mXAVKigoaP/EX2LYwNRLfp2SUm2vq/nP2UknvVwYQkju9Id3hg08ooomm4meyrsrK6XVUef/4ahK2xwAAABAOT1vfP2ZbrPym/Q48ZRD99zhPULsUBXOLw0AAABQqep3OvGiTrFu4qcoPtYNAAAAAFC1BEAAAAAAEScAAgAAAIg4ARAAAABAxAmAAAAAACJOAAQAAAAQcR4DDwAAANVIQkLCjF//NoYNxMe7WCSCBEAAAABQjSQkJCQkJMS6C6JGqgcAAAAQca4AAgAAgGqkqKioqKgohg3Ex8cnJooLosZPFAAAAKqRoqKiiydcEcMGnuz4ZwFQ9LgFDAAAACDiBEAAAAAAEScAAgAAAIg4ARAAAABAxAmAAAAAACJOAAQAAAAQcQIgAAAAgIgTAAEAAABEnAAIAAAAIOIEQAAAAAARJwACAAAAiLjEWDcAAAAA/PRt/Gb8Z3Nyyi+NT2nYok2rPdNqxsWipx0qyZ46YsbKxD06H9omLda97EYCIAAAAKDClr5yWda1Y3e4Kj6l1VFXDnjs1tPb19nNTe1IwXs3Zp3/TtrlH65+4ohY97IbCYAAAACAytKgy3GHtkja/KKkcP3y+V9OmfbN3PcfPKPLsIcnjb6mnbloYkMABAAAAFSWzle++OZFqdsuKVkz6dlLTrz09fljbrviqbM++nXTWLW2WY3jHv7ss1sSGu4T4z52M8EbAAAAUHXi0jpf/NzAs+qFkDfio9GbNi9dOeOT4cO/mJ8XQghFa+dP/PTtz+eXe2PJhmUzx42d+vXyvKLtNrp65sjhw8d8vT6EorWzR773zvvDJ3y9trBMScHqeRPHTp63YkNxuX6KC/Pz8zcWbl5ctGTy8OHDP5tbfvqinDmfDR8+fEr2t++uwB6rBQEQAAAAULXqdO++Xwih8MsvZ29e8um9v8jKOm/QvKK5L1/SuVmL/Q/75TMztpSvG/f4ed2apdZr1O7Agzq2bJje7NALBg5bWrLNBsc81C8r65xnPn3/6u4t2/Tse/wxWV1bZqQ17fHrV+cWlmQPveukfevXzWi1/0GdWzVosM8Zfx6Tu/WtRUNuycrK6jdwXOnL3MHXZGVlnf7E9HItT3/89KysrOve21DxPVYLbgEDAAAAqtjy5ctDCCEtreyDt3I+vvoXVz27um3vE47bN6t56bIF/zq79wUvzy2otedBfft1bFy4YOzwYaMGXXPUsPEvjnjhjL223ehzF566eHl6z3POPaxZ8fS3//GfqZ892f+k7FeK3v33kvYnXnD9frW/+fhfL42e+dpVZzU7cMbDh9So+GHs9j1WGgEQAAAAUKXWvPPooNkhhPT99muy7fL5T1z/j4NuHTH61p4Nvr1Dac2bN/725bmFrfu/9N+nz2pTq3TZ2IFn973mvRcv/22/3m+d1WDL29cuXt75uo8/fuDQ9BBCuL3/NR27D5w15c1/Nzz1H+NfOrdFUgih+PcHH9H+d8Pm/e/9rx4+pGOFD2T377HSuAUMAAAAqCyrv/p0+BbDhv7v9UEDf/+Lzqc+/00ItXvdcW1WmeIN+Xtf9dfbtqY/IUx79JaXVoVmVzyzJf0JIaQdePVz9/0iJaz+z9OvZW/7/kYXPHRPaRYTQqh58Kn99gohxPW8+fFzv30QWXyzM047OISwcOHCSjm83b/HyuIKIAAAAKCyjHuoX9ZD2y+OS93/0mf++du25a5DaXfSyfvGbfN63ZjPppeEBsed3qtW2cLGxxzTJXwwavTIUSVXnLzlHV0OOihpm6KMjIwQFrY8pEfjbRbWr18/hFBSsu0MQj/e7t9jZREAAQAAAJWlQZfjDm2xTUYSVyOtWbsOBx3b/6zujRK2q27evHmZ17Nmzgwh5Lx+4T4fJ5WtLFm3KISQv2TJ6hAyvl1Yq1aZnCguLi6EUK9eve0XVpbdv8fKIgACAAAAKkvnK19886LUXa1OSytbumrVqhBCrfQmjRuXDywaN27SNoR9G1Sv62p+OgRAAAAAQPXQqlWrECbufeELH1/f/Purq9SaNWtj3EHlMgk0AAAAUD00b906MYQZX3yRU37N/P89cueddw4ak1s1Oy4sLCy7YMG0adv18JMmAAIAAACqh8Sjzj49M+S+dddtw1Zvu3zV2zddeO0dd7z2Td06lb3LmrVqxYeQPWXKsm0Wbhzx8F++qOw9xZYACAAAAKgm6p1y7y09ahRNeaxvr/MffWP49EXZC6d88MSFR5zzr6Wh0ck3XrRPpe8xuWvXfUIo+ej2c+7/cG5OYVHOoomv3XDEyY9/Xel7ii1zAAEAAADVRsvfvvHumnPOvfvj568+7fktS5Oa9L7n3/84p0kV7LDD1X/+zUt9/2/mhzcdtfdNCQnxRUXFISS1v+jc+s/+c2QV7C9GBEAAAABAhSXvdUBWVp3QucmuJQ2Z+xyelVWwb4Pt18Q3OfL2Dyf3e+O198dMmPjlktCodbv9j/rVhce1TtmmKKNdz6ys3A6NytzYlNL8wKystNbNty0McQ33y8paUat9/S0LGnXIylpTp236twvq9Xl84pfHPPnE4DEzZs2aOWtpSfNeF9438Pf5f5qzMKlT42+fXV+BPVYLcSUlHqAWYytXrvRTqCaSkpJSU1NDCPn5+bm5VTS1GPxIqampSUlJIYRVq1YVFxfHup2fi24vPv/9RfDDjTnnVxXcwtVzbqiUTqCcgXsPqPhGMgoPqfhGYHurEkdV9S4yMzOrehe7oqCg4OIJV8SwgSc7/jklJeX76/hJMQcQAAAAQMQJgAAAAAAiTgAEAAAAEHECIAAAAICIEwABAAAARJwACAAAACDiBEAAAAAAEScAAgAAAIg4ARAAAABAxAmAAAAAACJOAAQAAAAQcYmxbgAAAADYKj4+/unOj8e2gRjunSoiAAIAAIBqJDExMTHR2TqVTKoHAAAAEHEyRQAAAKhGioqKiouLY9hAXFycS5Cix08UAAAAqpGioqLEVR1i2EB+vYkCoOhxCxgAAABAxAmAAAAAACJOAAQAAAAQcQIgAAAAgIgTAAEAAABEnAAIAAAAIOIEQAAAAAARJwACAAAAiDgBEAAAAEDECYAAAAAAIk4ABAAAABBxibFugJCRkREXFxfrLigjOTk5OTk51l3AjmVkZMS6BaCiMjMzK7qJOZXRB2ynEj6cIRQvrfg2YAcq5fNJVVo3e/SERQXxjTse1u77fmNdM2vUpMWbMvc5fL+GlX86vOLLEdOWhUYdDm9fv9K3/RMmAIq9vLy8WLfAZgkJCaW5z6ZNmwoKCmLdDpSRnJyckJAQQsjLyyspKYl1O0CFrF+/PtYtwI5VyoezVsU3ATuyGwbP2rVrV/UuIm3Kn07Jenxp8vnvbHjuuO8pHTfwxCOfXHHSC/lvnlOz0vsYftcRp70c+r+16Z8nVvq2f8IEQLGXn5/vXK6aSEpKKg2AioqKNmzYEOt2oIwaNWqUBkD5+fnFxcWxbgeoEN8yVFuV8uEUAFFFdsPgKQAiwswBBAAAABBxAiAAAACgapXkr/hq4qSv1xZ+b+GGZTPHjZ369fK8ou+oKs5bPnfSmC+mzFm8ZqOL43eNAAgAAACoKpsWDL7myNYZ9Rq0379Ly/R6TTqd9ujYnB0Vrhv3+HndmqXWa9TuwIM6tmyY3uzQCwYOW1puwpRN33x436kd66fUabh3l4O7dWrdND2jVZ9fPz0ud3ccyk+bOYAAAACAKlE4+bEj+lz9ycqSxLS9u/c8cK+CWaNG/vvq3nMPa5NftnDBv87ufcHLcwtq7XlQ334dGxcuGDt82KhB1xw1bPyLI144Y6/NVQufPa7jxUPWhpSWPU85bN+GNTcsmTr8g9EfP3nZMcvrTXn9rMa7/fh+SgRAAAAAQFVY8uw1N3+ysqT+4Xe89e/be9YPIYRNc18+/xfn/WvCpm3r1rx5429fnlvYuv9L/336rDalU8mvGTvw7L7XvPfi5b/t1/utsxqEEMIXj983ZG1IP+bJce9c1jKh9K2FMx/p0+naT/7z8ocbzupvEvrv4BYwAAAAoAqMefTeD/NC8hEDXt6c/oQQklqd9exfz29Qpm7ao7e8tCo0u+KZLelPCCHtwKufu+8XKWH1f55+LTuEEEJRXup+/fqddMMtF32b/oQQEtue0LddCIXz5y+u+gP6SRMAAQAAAJVvxfjxC0OoffIVv2pSZnnyLy49r8U2r9eN+Wx6SWhw3Om9yl3B0/iYY7qEEEaPHFUSQggJvW4a/Pbbb1536LY3M+VNefWd6VXSftS4BQwAAACofLNnzw4h7L3PPknl17Tfp30IX3/7atbMmSGEnNcv3OfjcpUl6xaFEPKXLFkdQkbpoqJ1c0YPGfLpuGlfzZk7d/bML7+cs3xDuYmi2SEBEAAAAFD51q9fH0JITU3dbk2dRo1qh7B+86tVq1aFEGqlN2ncuHxI0bhxk7Yh7NugNOIp+PL5i8/43T+nrgshJNbdo3XbNvsec+nFHVc/e90/ZlXhcUSEAAgAAACofC1btgxhxfz580PYo+yadUuWrN/6qlWrViFM3PvCFz6+vvl3bK54/G0nXfDPmQmtTxnwyK3nHdmpSUrprDbzH3n9uspvPnrMAQQAAABUvmatWiWGsHDoR+Uvz8kfPWrCNi+bt26dGMKML77IKb+F+f975M477xw0JjeEEKa8+cbMktD0sudevf6ELt+mPyGEvLy8quk/YgRAAAAAQOVLPKb/mZmhZOJjN720dJtpejZ9+didLy7ftu6os0/PDLlv3XXbsNXbvn/V2zddeO0dd7z2Td06IYRQVFQUQqiTlpawbVHeZ8+/9lXVHUOECIAAAACAKlCn321/7JYQVr5+XreT7n556KQ5sycMGXTdUYfdNLp2Wto2dfVOufeWHjWKpjzWt9f5j74xfPqi7IVTPnjiwiPO+dfS0OjkGy/aJ4QQwr4HH1wnhK+evOb+j79eX1RSsGbBxLcHnNH1iAemFIUQFs6YnmMy6O8iAAIAAACqRNtr/j34jz3SCxcOvu3sI7q0btP1Fxc8NLy4+22v3tWzTF3L377x7h29G2+a8vzVp2Xtt2fjZp2OvuK5iflNet/z1j/O2fwQ+eQTH/zrKY0SVn5wU5+WdWompaQ33/+Emz6sd+m/B13UIISVL5zQsPHvhsTgGH8qTAINAAAAVFxqm0OyslbVaF9/m2UJTY99cPiEfi+/+dEXYyfMWpu8Z5ejzr38/MPrD70pKyu3Q6MtV6XENzny9g8n93vjtffHTJj45ZLQqHW7/Y/61YXHtU7ZZmN7nfvGV11e/etzH0yctbS48b5dDzjkuDNO6JQRn92ooNEz/x2/IrXLHiGE0GDfXllZYZ/M3XXcPxFxJSUukYqxlStX+ilUE0lJSaVPKMzPz8/NzY11O1BGampqUlJSCGHVqlXFxcWxbufnotuLz8e6BaJpzDm/quAWrp5zQ6V0AuUM3HtAxTeSUXhIxTcC21uVOKqqd5GZWS0yg4KCgsRVHWLYQH69iSkpKd9fx0+KW8AAAAAAIk4ABAAAABBxAiAAAACAiBMAAQAAAEScAAgAAAAg4gRAAAAAABEnAAIAAACIOAEQAAAAQMQJgAAAAAAiTgAEAAAAEHECIAAAAICIS4x1AwAAAEAZG+pOiOHeE+JdLBJBAiAAAACoRmrUqFGjRo1Yd0HUSPUAAAAAIk4ABAAAABBxAiAAAACAiBMAAQAAAEScAAgAAAAg4gRAAAAAABEnAAIAAACIOAEQAAAAQMQJgAAAAAAiTgAEAAAAEHECIAAAAICIEwABAAAARJwACAAAACDiBEAAAAAAEScAAgAAAIg4ARAAAABAxAmAAAAAACJOAAQAAAAQcQIgAAAAgIgTAAEAAABEnAAIAAAAIOIEQAAAAAARJwACAAAAiDgBEAAAAEDECYAAAAAAIk4ABAAAABBxAiAAAACAiBMAAQAAAEScAAgAAAAg4gRAAAAAABEnAAIAAACIOAEQAAAAQMQJgAAAAAAiTgAEAAAAEHECIAAAAICIEwABAAAARJwACAAAACDiBEAAAAAAEScAAgAAAIg4ARAAAABAxCXGuoHKsWnF3K+W5u1oTXKjtq0b1Ci3sCh32TdL1sU3bLZnao24nW+1cssAAAAAYiMiAdCC/z540+uLd7Smef8n/nJG062vCxZ++MQjg4bNXVcUQkio02S/Phf9/oJuDRLKva1yywAAAABiKBoBUMnS7GUhJKTt2TIzudyqJhlJW1+sn/rPW+55bU5efErj9h33rrPyqylzJg++95r5l959x3HNE6qoDAAAACC2ohEALV+6pDCEVifeNvDUxjuvKpz50p9fn5OXsNfxdzx0SeeUEELJyuEPXPPIqEl//7+3D3zwpEZVUQYAAAAQa9GYBDp7aXYI8Y0aN/iuooJx7wxZWhIaHX/VRZ1TShfF1e/1h8t61gqbZrz7/pwqKQMAAACIuUgEQOuXLM0JIbNxo++872rqmC82hFC/W/c22x50zQN67F8jhOwvxiyoijIAAACAmItEALR06dIQQuPGjUNJQc6y+bNnL1qTX1K+aPnXX68PIbFDh/Zll9fo0KFNCOGbBfOLKr8MAAAAIPaiMAdQ0dLs5SEkFc1+7Y5L3x2fXRBCCHE10/Y+9MzLLzq2bd3NT2Zflr0shFA3Na185lUvNTWEUJSdvTKEhpVcVkZeXt78+fO3779hw4aJiVH4QURAQsLmq8ji4uL8UKhu4uI2D2cJCQnx8ZGI7+FnzLcM1VblfDgLK2EbsD2DJ1REFP7/Wb50SXEIxdOGvJVcv0WHg5vVj1u1cNZXc2cPfeqPE6Ze/dj1vdJDCGFD/oYQQp26dcq/PaFu3ZQQ8krXV3JZGV999dUll1yyff8fffRRamrqDz1qqlTNmjVr1qwZ6y5gx4wYEAFpaWmxbgF2rFI+nMVLK74N2AGDJ1REFAKgpUuzQwi125x4zY3nH5hZegXHpuwxz93/4DtzRz795IjONx6eFkJxcXEIoUZSje3en5SUFEIoLCwMobLLAAAAAGIvCgFQ58sHvXFpiE9MSojbsiypUbeLf3/ylN+/Mn/0kNG5h/etUxoWr1ift367969fnxu2hMmVW1ZGWlrakUceuX3/xcXFGzdu3NWjpSrFx8eXJnhFRUVCPKqbpKSk0ju/CgoKSkq2m+gM+Enx1U+1VSkfzqSKbwJ2ZDcMnu4DIMKiEADFJSQl7eD5X/EtDzog85X5K+bOmxdCx5CRnhHCityc3PJ1+Tk5RSHEZWSkhRAquayMli1bDhgwYPtGV65cmZOTs0uHShVLSkoqvblm06ZNubnb/XQhplJTU0sDoNzc3NKrEIGfLl/9VFuV8uHMqPgmYEd2w+ApACLCohAA7VRaaloIK4oKC0tCiEtLT4sLYf2SJTmhU91tq7Kzs0MIqRnpCSGEULllwPc76bJBsW6BaHrrqfNj3QIAAFQXP/3nyOSN+8d99933wOvTCsqvKfnmm8UhhBYtW8aFEBLbtm0ZQsm0cePyy1QtHzduYQi1OnVqE0KllwEAAADE3k8/AErJjF/42WcjX37hvcVl7ogoWfbO65/khYRWB3QuvRur6aE9W8SFTROGDM3eOndGwdwPPp4dQnrWMd2SQxWUAQAAAMTcTz8ACs2P739YalzBtOduvfvFYdPmL12xbOFX4z949qY/Pjs1P77ZyVee3GxzYdNj+/dODxunPHvvE8NnLssvyPlmyruP3PPq/JKElsf27bDllq3KLQMAAACItSjMAZR66NUDb8584LE3x70ycNwrWxbHp+938hW//2XrrYeY0u3ym/tn3/3itPceufa9uLi4kpKSEBIb97zyxtNbbLO9yi0DAAAAiLEoBEAhJDTodsGAPx88YtjIybOXrCmo1bBZi5btDjise6s6cWULk9uece/j+4/4YOj42UvWbqqVsee+PY46sttetUJVlgEAAADEVDQCoBBCSMzct89p+/b53rr41DZZp7fJ2r1lAAAAALETgTmAAAAAAPguAiAAAACAiBMAAQAAAEScAAgAAAAg4gRAAAAAABEnAAIAAACIOAEQAAAAQMQJgAAAAAAiTgAEAAAAEHECIAAAAICIEwABAAAARJwACAAAACDiBEAAAAAAEScAAgAAAIg4ARAAAABAxAmAAAAAACJOAAQAAAAQcQIgAAAAgIgTAAEAAABEnAAIAAAAIOIEQAAAAAARJwACAAAAiDgBEAAAAEDECYAAAAAAIk4ABAAAABBxAiAAAACAiBMAAQAAAEScAAgAAAAg4gRAAAAAABEnAAIAAACIOAEQAAAAQMQJgAAAAAAiTgAEAAAAEHECIAAAAICIEwABAAAARJwACAAAACDiBEAAAAAAEScAAgAAAIg4ARAAAABAxAmAAAAAACJOAAQAAAAQcQIgAAAAgIgTAAEAAABEnAAIAAAAIOIEQAAAAAARJwACAAAAiDgBEAAAAEDECYAAAAAAIk4ABAAAABBxAiAAAACAiBMAAQAAAEScAAgAAAAg4gRAAAAAABEnAAIAAACIOAEQAAAAQMQJgAAAAAAiTgAEAAAAEHECIAAAAICIEwABAAAARJwACAAAACDiBEAAAAAAEScAAgAAAIg4ARAAAABAxAmAAAAAACJOAAQAAAAQcQIgAAAAgIgTAAEAAABEnAAIAAAAIOIEQAAAAAARJwACAAAAiLjEWDdAyMjIiIuLi3UXlJGcnJycnBzrLoAKyczMjHULsFOV8PmcUxl9wHYqZfAsXlrxbcAO+HKHihAAxV5eXl6sW2CzhISE0txn06ZNBQUFsW4HqJD169fHugXYKZ9Pqq1K+XDWqvgmYEd2w+BZu3btqt4FxIoAKPby8/NLSkpi3QUhhJCUlFQaABUVFW3YsCHW7QAV4v9iqjOfT6qtSvlwCoCoIrth8BQAEWHmAAIAAACIOAEQAAAAQMQJgAAAAAAiTgAEAAAAEHECIAAAAICIEwABAAAARJwACAAAACDiBEAAAAAAEScAAgAAAIg4ARAAAABAxAmAAAAAACJOAAQAAAAQcQIgAAAAgIgTAAEAAABEnAAIAAAAIOIEQAAAAAARJwACAAAAiDgBEAAAAEDECYAAAAAAIk4ABAAAABBxAiAAAACAiBMAAQAAAEScAAgAAAAg4gRAAAAAABEnAAIAAACIOAEQAAAAQMQlxroBdpOzG/461i0QTS8teyLWLQAAAPA9XAEEAAAAEHECIAAAAICIEwABAAAARJwACAAAACDiBEAAAAAAEScAAgAAAIg4ARAAAABAxAmAAAAAACJOAAQAAAAQcQIgAAAAgIgTAAEAAABEnAAIAAAAIOIEQAAAAAARJwACAAAAiDgBEAAAAEDECYAAAAAAIk4ABAAAABBxAiAAAACAiBMAAQAAAEScAAgAAAAg4gRAAAAAABEnAAIAAACIOAEQAAAAQMQJgAAAAAAiTgAEAAAAEHECIAAAAICIEwABAAAARJwACAAAACDiBEAAAAAAEScAAgAAAIg4ARAAAABAxAmAAAAAACJOAAQAAAAQcQIgAAAAgIgTAAEAAABEnAAIAAAAIOIEQAAAAAARJwACAAAAiDgBEAAAAEDECYAAAAAAIk4ABAAAABBxAiAAAACAiBMAVVxR7rL5s2YvXFtQEutOAAAAAHYgMdYN/LQVLPzwiUcGDZu7riiEkFCnyX59Lvr9Bd0aJMS6LwAAAICtXAH0462f+s/r//jnj+bm1mzc/uBDD2ydvmnp5MH3XnPHu/OLYt0aAAAAwFauAPqxCme+9OfX5+Ql7HX8HQ9d0jklhFCycvgD1zwyatLf/+/tAx88qVGsGwQAAAAo5QqgH6lg3DtDlpaERsdfdVHnlNJFcfV7/eGynrXCphnvvj8ntt0BAAAAbCUA+pGmjvliQwj1u3Vvs+0/Yc0DeuxfI4TsL8YsiFlnAAAAAGUJgH6c5V9/vT6ExA4d2pddXqNDhzYhhG8WmAcIAAAAqC7MAfTjLMteFkKom5pWPkGrl5oaQijKzl4ZQsOyq/Ly8ubPn7/9tho2bJiY6AfBT5VPL9WWDyfVmc8n1VblfDgLK2EbsD2DJ1SE/39+nA35G0IIderWKb8ioW7dlBDySteX9dVXX11yySXbb+ujjz5KTU2tii5hN0hLS4t1C7BjPpxUZz6fVFuV8uEsXlrxbcAOGDyhIgRAP05xcXEIoUZSje3WJCUlhRAKC6vbnz2GFL8W6xZgxz5949pYtwA7Nff318S6Bdixfxz8TKxbgJ2Kbzwz1i0AUJ4A6MdJS0sLYcX6vPXbrVm/PjfsOJpOS0s78sgjt99WcXHxxo0bq6BJfrD4+PjSBK+oqKj6hXj83CUlJcXHx4cQCgoKSkpKYt0ObGXwpDozeFJtGTyrp5o1a8a6BagqAqAfJyM9I4QVuTm55Vfk5+QUhRCXkbF9ANSyZcsBAwZsv62VK1fm5ORUSZv8QElJSaW3423atCk3d7ufLsRUampq6TlMbm5u6VWIUE0YPKnODJ5UW1szDFrdAAAgAElEQVQGz4KCgvXrt//DMrEhACLCPAXsx0lLT4sLYf2SJeWDm+zs7BBCakZ6QizaAgAAANieAOjHSWzbtmUIJdPGjcsvs3z5uHELQ6jVqVObGDUGAAAAUJ4A6EdqemjPFnFh04QhQ7O33kxeMPeDj2eHkJ51TLfkGPYGAAAAsC0B0I/V9Nj+vdPDxinP3vvE8JnL8gtyvpny7iP3vDq/JKHlsX07uAEMAAAAqDZMAv2jpXS7/Ob+2Xe/OO29R659Ly4urqSkJITExj2vvPH0FrHuDQAAAGArAVAFJLc9497H9x/xwdDxs5es3VQrY899exx1ZLe9asW6LwAAAIBtCYAqJj61TdbpbbJi3QYAAADAzpkDCAAAACDiBEAAAAAAEScAAgAAAIg4ARAAAABAxAmAAAAAACJOAAQAAAAQcQIgAAAAgIgTAAEAAABEnAAIAAAAIOIEQAAAAAARJwACAAAAiDgBEAAAAEDECYAAAAAAIk4ABAAAABBxAiAAAACAiBMAAQAAAEScAAgAAAAg4gRAAAAAABEnAAIAAACIOAEQAAAAQMQJgAAAAAAiTgAEAAAAEHECIAAAAICIEwABAAAARFxcSUlJrHv4uVu9enVxcXGsuyCEEOLi4hISEkIIxcXFfihUNwkJCXFxcSGEwsLCWPcCZcTHx8fHxweDJ9VSYmJi6X8YPKlu/OZZPdWvXz/WLUBVEQDBVmPHjr388stDCKeddtoNN9wQ63agjEsvvXT8+PEhhA8++CAjIyPW7cBWY8aMueKKK0IIZ5xxxnXXXRfrdqCMiy++eOLEiSGEDz/8MC0tLdbtwFaff/75b37zmxDCmWee+cc//jHW7QDR5xYwAAAAgIgTAAEAAABEnAAIAAAAIOIEQAAAAAARJwACAAAAiDgBEAAAAEDEeQw8bLVu3boZM2aEEBo2bNiiRYtYtwNlTJ8+PTc3N4Sw//77JyUlxbod2MrgSXW2ZfDs2rVrYmJirNuBrbYMno0aNWrevHms2wGiTwAEAAAAEHFuAQMAAACIOAEQAAAAQMQJgAAAAAAiTgAEAAAAEHEehUCUfT7wtHuHFXxXRfOzn/jL2U13cXOz/3Hx1a8v2/eSfww4Pq0SuuNnJn/RqLcHj/xywaLFi5esyE+u37hxkyYtOvY54diDmtaKi0E/a9694bynpjc57U9PndcyBrvnh8kdes+vHhuzKSXrtn9efeCOHwFXPOH/zrv9/XVJ3a765y19UnZzf+UVrf5yyFvvT5i7aNGSxdlrQ72GjRs32bNt974n9G6fnhCLhiY90f/W/63rfvUbN2V5gt5uNfZPZ9z1UX65hXGJKfWbNG3abL9ep51xxN51YjECbsdXPD/Gl0/96vp3V9c44rbXf3/g95RW6Sg06qGTB3wSsm5+8+qDK33bQKQIgIi+uKTklBo7OeOoVaNa/N5JxG2c9+Hfn/jHBzPWFJW+TkhMyF8yb/WSeV+OH/Xev1scecmNv8lq4oJMvkOdQ3of+MSY0XmfDR9bcGCPGjuoKJ46avS6EGoceHj32KY/JSsnvvL0U/8evWjzSX98YmJYvnDW8oWzpoz5+O2X9z/tD9edtV/tmLbIblf2i7ikMD9vxcJZKxbOmjTqo+GXDrjruL18FwPAbiAAIvoan3jfU+e1roQN1e966q9q59XfJ7kStsXPx8Y5/77r1kFTckNcWocTf3lCt3atWjVrmFKUs3LxrM/ff/PN9yd9PeSx20pSHvxdt/RYt0o1lnxQVveU0cPzPh8xZmOPnjW3W188ZeTodSEkH9SrWyzzn5JVY/588/0fLS4KNffsdeaZvTvu3apF07TEjWuWfT1p2LtvvD386wn/uvueGgPuPKXFjlIsoqp+3zv/fvE+W18X5a/6etw7f3/69SmrJz33l3e6PnB8k1hHQL7iAfgZ8Cdn2GXpHfqeeuqpWa139tvhxtz1hbu1IX4CCqYOum/QlNyQ3vVX9/3l3ouO6d6xZcPaCSGuRt3MFl2Pu+zuR245rnlScfaHA/8+5jvvVuRnr8ZBvQ+tE0L+FyPGbNh+bcmUUaPXhVCr2+EH/ujz1+Lc9TvY8g+y4r+PPPTR4qKazX/xx8ceu+a0Xl3b7ZlWMy4kJKc1ad/r7GseHvDrrqkhb9qgPw1eXME98dOWkJyx96Hn3Xr1UZkhFMwYNjp7Z4UV+GItKcjfWFSyy+Xf9xVf+XsEgN3OFUCw2cZFo15/7aOpX3/zzeKVBclpmQ1bdOlz/ElHdW6w5U7teS9e9vtXlmyZIGDpG1dd+vzcQ/84+LpOk17767PvjJ/f6Jy/P3RS/RgeA9XOwjef/t/yEOoddtm1p+5XZwcFqV0vvuzIUTf9b/XooZ/ndTts67UbJTkz/vvyO1/MnDtnwaqEzGatWrY7+MQzj25Tfhu7WLZ+1vsv/Wf09JmzFm9IbdG+fec+p52xT+CnJbFLVs+0Ie+tGTfi8/WHZZW9h6p46shRa0JI6dHrgC0X1uTN/vDVt0d/OXv2vOWF9Rrs1a77L046IatN6tY//Hw+8LR7hzU8+/G/nho37Jkn/jVixpqet7zU/ZNz7/oot92Fzzx0UsNt97Bx5EP9H/ikoP1Fzz54YuZOOswb/fyLUzaG+BanX3vFYU138BemGs36XnnWp5c8NWXOR0Pnn9a/+dY1m5aMfv21j6fOmTt3yYa6TVu2bNWxz5mnHtyw/C8pu1ZWtGzM668MmThz5rwVSU3atNvn4ON/edzO/12JneROB3dMHvJx/sKF35SExnHh+75Yi1aMffPVjybNnj1n4bqkjD1adsrqd/LRB+6xNbJZ+fYfL/jbV92vfuG0nCf/8vLo+TnFNVL3bLPPft2P739Cx3obFw5/7bVhk2fNnr8qPr1p+56nn39mjyZb/ocp9xX/5TO/un7w6q6/ffWOo7aNhPKG3HHWX8Y3PPnhZy5oW9E9EmG7PAp970AdQgjFa6f/9+X/jJn9zTcLs3MS6tXP3KNdj6NPOu6wlnV3x7EA0SIAghBCyB720M1/+WTZppBQK71BZoPk3JWLZo5ZOHPMqCl/fOT6wzK+660bpw265a435xfVrNegQT3/R1HG3OEffV0canQ454JDdpT+hBBCSOjwyzvvOnhVcVKDoi3LNsz6z4P3Dxq3oijEJaU2SN+0dMbYhTPGjhz1xUU3/rFf65o/rKxw4YeP3v3XT5YWhhBXo17amq8+/3D6mC++POmA8vOyUs3Fd+h9eOZ7g1eMGz56fdaR2yZAxdNGjV4bQp0eh3ctPbncOPd/j97/t1HZhSE+Ob1havyqb6Z/8tr0T4d+evkdN/RtXuYEtCR76IA/PzZ2XWJK2p7pKQldDumW8tHQmaM/W3XSCdsMfRvHfPrFxhDXsddhO0t/QsgfM3RUbggN+15yUvOdXl+ceeTv7m+yKC/UqV347e8gJctHP3nvY/+buyGE+Fr1G6SsmTd59JzJo0d9ftzVN1120Jb97WLZ2in/uHfA6zNyQggJKWl1Fk36ZM7EzyfNO6pR8S7+M7M7FZcUhxCKi8pd5bODL9aSleP+fv/A/8zMCSGxTsPM2rnL5ox/f8744R8ff/0dlxxQZtrmJe/dd9v06QV1m7ZtX2vtwrnTPls4bezMVZfsP/W5N+aEzBYtGjXInbdw9ujX7p+bd+/jl3Xc/obKH2z375HqbFdHoV0bqDd++eJN97w6K6ckrkbdzAYN629cs3ze5MXzJo/8/JsBD5zdWqAI/DBOVyGEwnEvPfXJsk21O593+7Unt09NCCEUrp762oC7X/py5BsfLz3s1MY7f+/Mlx+dUOfIq/5yfp/mtXZbw/xELBo7dmkIoVW3g3d+0hxCSG3RpWuLbV4Xz3v9sb+PWxGX2e2S63/Xt129xFC4dvrbjz0waNyYv/15cOc/nV46X+ouli177/G/frK0sEbzo6+89ryezesmbFw9/d3HHnj+zaHuVPipiWufldVo8OvZE4ePWnfkUfW2LC+ZNnLU2hBSDz28c0IIIRTPff2RJ0dlJ7fs+7urz+/VvFZcKFo7479/Hfj30WOffOBfbf5yfuut0+KvHfrU0yVt+t/zm1M71U8IIYRNhxxUa+jwGaM/X3NC3y1n1fljPvkiPyR07tVz53l40aQvJmwKIWX/bh2/64ykZqP2XRttuyDnk2f+9L+5G2q1OuGq6/t3b5IcV5K/aNTfB/zpvdnvPjao09+u7ZHyA8oKJr4w8PUZOXHpXc675nfHdcxMLl6/cNQ/Bvzpf+8u/AH/0Owm68eNmlQQQtirWbMyMwDt4Is1Z8TTD/9nZl7mAededeXJneonhpKCxZ+9MPAvb818+6HHWz9xS+9t5lCbP33mXr+46bbLuzdKDCU5U/52wy3vLJz75hNz0/a/+OHrT2idEsLGBW/efe1zk7OHDJlyaccDKz770O7fI9XXro5CuzhQL3n32Vdn5cQ3PfKa2y7t2SQ5hFCSt2jYk3c8NmzOm4MnnHn1wabzAH4QgwbRt3TwLf136JFPNpVWZH+9oCg5uXm/C08rTX9CCInpHc7o1zUhhAULF3zn1pevTD/r+l9Lf9iR7GXZIYSUPff6zovIyls77IXBC0tC05Nvuen4dqV//E5M3ffkW67r1zCUfP3vf43M+wFlBeNefvXLwlCr22/u+01W87qJIcTVTN/vlNtu7tdwpw1QbcW17p21VwhFU0aMXLN1acn0kaNXh5Dac3P+s3rIoLcWltTqevGtv85qXisuhBASUtsff931J+8VV/LN4NdGbnvtV86yjT1+c/0Zm9OfEELS/occVCuUTB/9+dotRXmffTKuICR26XVI6s6bW7NsWUEIYc899/ohh1Qy+/UXRueF5IN/fdfFPZokx4UQ4pKbHnrFXRd1Sgo5n7wweP4PKVv6vxc+XBlC09Nuvf3UTpnJcSEk1N7rsF/fc2lXz36vVoryVn0zZchTtz86bHUINdv3OaRJmdXbfbEWznj1n6PXxzU5/robT+9UPzGEEOJq7NHjwlsu7Z4S8sa8+s78Mu9vcsJVv+7eqLSsbsfT+7YLIYTkbudffULr0jixZrOTTuqRHELBkiWrKuWAdv8eqa52dRTaxYG6+OsFi2sm1+5x9iWl6U8IIS6lae/T+jQNIX/hwuW79+CACHAFENFXUpC3bofT6+Ztzn9C01MHvnrqdquXLl5cHEJ88fdcJtHp6F80+e4Kfq6K1q5ZH0Jo0HC7rGXqU/1vendduYUNTx74zAWtQ/hq8pSNIXTsd0KrMhF9wn7HH9vq7UFzp0yZG3p22NWyBZMnrwkh8+jTepWZKiCh3YnHtX37uZmVdajsLntlZbV65Z9zJ4/4dHXffqXXPGzOfzJ6Ht4hPoQQCqeOnbQx1Ox1bJ+yF54l7N3n8Bavvzhv6pQZ4fAuWxY36H101zJ3pCR17XFgzRGfTBk9Zv3RR9UOIYS8zz4dtykkde+18zsZQwhr16wNIcQ3aFh+IrScd28+56kp5csPuurVW/skh2WTJy8NIb33iYfXK7M6vc8JPQdN/njhlKlrzmqetotl+dMnzywKCfufdNI21ziFENJ7n3DY8+OH5nxH91StFYOvP2HwjlbEpx182TX99ih3SUz5L9YFY8cuC2Hvo45tX/bqsrTD+xzwl88+WTRlyurQfMs1QHU7H9Bmmw9Aev3M+BCK2xx44Db5ZVyDzPohLCoqKgqVYPfvkepqV0ehXR2o43tc9a8eV5Xfy4ZFi1eHEEq+71dUgO0IgIi+JqcN3LXHwJfkLZ83d943i7Ozly7+Zt708RPn7cIXa73GjWP5zGWqs4Tk5MQQCpcvXx5C2YsiEmqm1K699SygpDA/b+O3L1cvWZwfQmrzFts9Fb5x8xY1w9x1S5fmhQ4pu1ZWY8mS5SHEtdq7VfnrPRu2aVMvzCwfQlHtNe3Vu+0Lc2dOH/7pin7HZ4YQSqaPHLU6hIaH92pfehK9ZPHikhBqLB7x9BPjyr63aNH6EELOsuwNIWy5tqJxo/L3uNY84JCuNT4ZPXn0F3lHZaWEsP6zT8ZvCjV79Or+nYNdzeSaIYTi5ctXhlD2jCYxuXbtbaYsKirIy9/07ei6ZMmSEMKezbebNSipefOmIcxcmr00hLRdLCutarR36/Izoya1adMiDN0uhGK3iUtKTqmx7flwfHJa4z1bduh92hm9W9Uuf0dU+S/W4iWLl4YQt2HqW08sL1e7blFSCJuWLcsOYctYWKdO2aQyPi4uhPi0tDLhYVx8Jd6Htfv3SHW1q6PQDxyow6a138ydu2DR0qVLlyxeOGvSuOnrq+4YgEgTAEEIoWTFhFf/9vfBY+bnlJ6Ex9Wot8feHTs3+3z8gu/LgFJTv+OWCH7mMjMzQ1iaN3/+itC1zBnxPuc//dL5W1+uefeG856avvnFylWrQghpaWUmNS2Vnp4ewtIVK1aGkLKLZWtWl4RQNyNj+0lZMhtkhiAA+ulpeHjWvs/NnPbV8E+yjz+5USiZ8emoVSE0POzwdpvPLlesWBFCyJk14n+zdryF/I3525xXpKZtN4YlH3DIATVGj540euyGrMNr5Yz+ZGJhSDkk66Dvfj52/cwGcWF+yYL5C0pC5rZnunWPvvWlo7d5PemJ/rf+b/NHL3/VqrwQEtLStn+YTXpGeghhxfIVJSFs3LWy1atXhxAy6m9/z2XdBpk1QtjhtaDsDvX73vn3i3f50YPlv1jXLF9RFEJYPP69xTt+Q37+xu/bZlzY3fHL7t8j1cCujkK7PlBvmDdk0DMvDZ26YmPpb6QJKZnN2u/fvmD0l6ur4gCAqBMAQSic8fzNd/17SXG91n3O7tu9U9u9m+2RWTcpLoz90xnjF2z6njfHx5lJi51p1bFDyr+X5s2fPHntyX12nhSWzJ4zd+ur+hkZISxbs2ZNCE3LFa5duzaEkJaetstltTMzE8JXuatWbwqh3CQoeXl5P/7IiKH0w3p3eXba+JkjPll68mmNZowcvSqEJocf3vrbk82MjIwQFu1z8fMPnLDd5WE7EBe3/Vlq8kE9uiaO/mz86HEFh3ceNWJiUUjpkXXg9zxsJrljhzZh7Mz8aZNnFXVtm7DTuuVzZm8NHpMzMlJCyFuzJieEcuFO6S1laenpcbtc1iAzM4T1q1et3uZqkFKb8vK+bzCn+ij/xZpaPyMhhJrH3P3yFZ1j1NK3Cgp8kPguuzoK7epAvfLDB2/+y7j/b+/O42M69ziO/yaTTTYRsgwJEZEGWRAV15KE2mIpvbUWdauqaLVNq5urgraWckuppb2tXlqqKAlqaRE7JfYMIftGEpEgyWSRydw/LM1CDUIYn/efc35zznPmNa9n5nzP8zwnz8ypZZ9enVo2dW/o7GhrrpTMsHcJgADcFy5dAd2RTZsuaKVBv6mz3hncpU2zBvbWJgoREa2WxwbjgSib9+zhYiRFR5b+cOjOaUvuwZ1HyqzKW0ulMhO5kpR4uWLhxaSkAhGruiprvcuMHJ3sRXSJcZXmMxYkJbJ45BOqZrugFiYicbv2pOnO7N2fLeISGNjw1maVSqUQOZ+aWmn8YmFmTFRUVOzFuw+EsWj9j+bGUnTkwLGs/XtOasW6bWCLuy6jXKdTrzaWIufXfxNe+dg3aZN37i2Td4qTyklEUpOSKna32qTkNBGpq1LpX+bo5CQi6XFxeRUPm5KYxFoZTy6lSmUvoklNrXTBq7uSHBUVpU55aOs7VfzanD9/h0FIgIjo3wvp2VGn79x4JE8sWo+bPfnV5wNauNe1Nb/+rEf+oQK4TwRAQOHlK4UiSlf3huVuWV+LUccwXwAPRtlo4JgeDiI5OxYv2JFSeJuKa2mb58zfXe6qxsPb21Tk1Mb18eX+F2qj1/8WI2Lh7eV2D2UuzVvUFsncumZXuQskXdr68EiWIn1SWbbp2NpcJGnXrt/3HcgSqR8Q0OCvraZNfZ5RypXd4RE55b4autTwaeMnTPhie4Yeg38tWrf1VUrhkc0Ld5wqFdv2QT53HtJzi23QqGHe5lIS8/NXP6pzbnN5oss99f3MFbFlv3kO3j6OIjkR63eXv4S/HLF+d64o6no1s9O/zLRZ86bGoj22Ljy+3NE1B8P+SL97+/HYqu/jayui3hQWW/5nWXPwu48mTJi44mTV92ZGRkYicjGrXFBedGLHvktVfigYEn17IT076stXLouIQ2P38svf50Sp0x7SCQAwdARAQI36LnVEtMd3bM8sufFS0YU/l03+LDxNRErz8pgog/tn5jV0TDdHI8naM/etsaFLtx87l5ZTWCq6a7mZSVE7l00Z+9aiSKV3C7cyl+S2nYY+76yQtHXTZvwWl68VEdHmRodPm7EhQ4xc/zkkwOoeykx8+/dvZiyagwsnLt6TqtGKiDY3bsusKSvjdbeZ+oMng7l/UBsLkeTwJduyRNwCA53LbnXoMTy4jmgOzf9w7rb4q9dERHSa5B3zpq2M1yldunVpps9Pv6V/W1+laI5GntGJXYdAb/3+LtQJHjOsqYUUnV0zYUzIvLAD6oSM3Gs60RbmpMUc2jD/3dETN6arWnqVeS6eUeMXh7SpIYUHF4f+73BmsU5EdEXpBxZP/vZ4sVi3f/kFt3sps+/6Upc6oktdPXVqmDqnWCeiK8qM/DF03s48vu5PMtMWgwZ5m+pS1k2atPx4ZkGpiEjJpVO/fP71rjyx+kf3DrdZDO0B1XN2FpGULcu3pd8InQoTN385fxsPccff07cX0q+jdnFxUYik7P39TP6NnEh3NXrTnInfRBaJSF5epXFGAHAXrAEEiGefl1psn3fsz3ljRoQ1rl+zJCc1OS3nWh3/Ph3SwvakHl3y4eSUoSH/8mexZ9wXC7+xX3xi9cXcMHXWsV+/OvariMLY1KS0uLhURBRW7t3fe3+UT+TE4fFZN99h5NbvnVfipi89duCbkIP/q+Vkp7uUfrlYJ0p7/5Fv96mvuLeyOl3HjlV/umhPwqZZYzeb1aptnn/pSrHO2KXnMM/Dy/545B8HqoRpq45trXduyy0oEPEI6FDhOV6mzV56b0jyzBUnI+a9E7GopsqxRn5mxtVincKm5dh/D3LTLwmx9m/rteDoiVIRh4CgJvqmJwrn3pNnmMyfuWRPWsK2JdO3iYiRqanRteISnYiYOPi9POHdF0t+Ghq1+dZbagaOfEud8dXW2LWfjgy3cnCyyE/PzNeKWLr3DBnR1uLeykx8hoT0S5ixJvroko+HL7WqY1uac0mjFWvfV15U/rDmqJ5ngcdP7W5vjDv7+YKI079MGrnawl5VqzQn/ZJGK8b1e384roPN3Xdwr6za9e266uTvmfvnvXF6XSMXq4K0hOTsQnH0cC84F1v1h4Ph0LcX0qujtgwY9Pzak+FJaz96dV8jN0czTUZySkauiUfvYJ+tm09mbp7xYcY/R33co1F1nSyAJw8BECAK+84fz7b6dfm6/dHJcbEap4aN27cP6NunQ/3Cw5L/0071+diUy8y1xv1T1PIbPv3b5w5t3brrz2PRqVmX80pMazrVb+TrH9Cte6B7TYXIs30GZSS737qJbeHRd/I8z00rNxw+Gx+fnK1w8PBz82zTd1A3d8uyO9avzNil8/tzGvisCDsQHRuTdKnExtWvTY8hQ7vJL4eXPbLPAFVM6RvUvta2zTmiqJz/iIhVs4Gfzmu2YeVvkefiE1KzCmzrNfFq3rV/v46NrPUeCGPj79/k6xNqUQUENr6X0TPmrt3f/9q/V8Tm7fsjT8VnZF8tMLKsXd+5iV+7TsFd/ZxMRYo6DnneROly8x+IwqHdG7MbtlizOuJUfELCBY1lA29vd5/OA/q1dig770zPMhvvl6fP8Vyz8o/jMbHxF/JNHZoGduw3rL9X1LQf7uEk8NhR1g0M+bKR3+o1u9Vx8QnpOTXs3Vq0bddnYK+WjndZnvw+WfqNnjGl7vJVO04lpZ89laIThYVb1zEfdE6a9AEBEP6Wvr2QPh21WbNXZsysu+LnrcfiU2MTa7k0at69T/cXgr1tElSab8Mj4xPjM283vRwA7kSh07EsIgAAKE8X/d9XP9iQVW/w/EWDG9y9HDBYuuLci1kFNRwcrLlvCgB4svFLBgAAKtKe3LE7S8Q1KID0B085ham1Q13r6m4FAAAPjgAIAADcUlpaaqTTnPt56bYrYuTZKahedTcIAAAAVYIACAAA3HL4PwNmHSwpvlYqCrvOg7o7Vnd7AAAAUDUIgAAAwC02dV1sTNKKHZ7pMPj1ES3Nq7s5AAAAqCIsAg0AAAAAAGDgjKq7AQAAAAAAAHi4CIAAAAAAAAAMHAEQAAAAAACAgSMAAgAAAAAAMHAEQAAAAAAAAAaOAAgAAAAAAMDAEQABAAAAAAAYOAIgAAAAAAAAA0cABAAAHqWcsPHBwcHBwZ/vqu6WAAAAPEWMq7sBAADgqVKc9OeWLXtFrP5V3S0BAAB4ijACCAAAAAAAwMARAAEAAAAAABg4poABAIA7Kc44EbH90LnUrMIa9s4ezz7X0dfBtHyFTr166prTIq69PhjuV6Pi+1O2zlly8KrYth31dheVXIxYsHB3Vt7BZBEROb1mypRoEbuA0eM6Oj6SswEAAHiKKXQ6XXW3AQAAPHayDy9+b/S/lx3NLv3rNaNazYdMXfTlm23q3HpJ+0t/40FrRIIWZ0W8XrviTvaFuLSfmyqu4yMTZvmJ+pMmXp9FVyhxn3g85lPfh3UWAAAAuI4RQAAAoKJL20ICe89VF4qIKGo4enrYa1JikrOLco7/OC7oaNxvu+c8Z3fve3Xo9OZk46y8g0tmb0kWadpv8gAvEbsAp6puPQAAACphDSAAAFBe8b7JI+eqC0Usmo1Zqc65mn76+KnErMwTP73uU0OkSD131GeHSu5jv/Yd3wgNDR3fvb6IiDTtFxoaGhrK/C8AAIBHgQAIAACUk7Doo2+TRKTeyDPzTPMAAAOwSURBVLX7Fg5sWvP6cGGFjfeQRWEzg8xEJP7773YwhRwAAOBJQgAEAADKilwwZ2+xiPLZtyd0q1l+k6LhsBFdLM3NzYvVJxOqp3UAAAC4L6wBBAAAytCcOZMkItJqQP+GlbfaDtuQN+xRNwkAAAAPjBFAAACgjNiYGBERpaurc3U3BQAAAFWGAAgAAJSRmJgkImKvUjFMGAAAwHAQAAEAgDIcHR1ERLIvXaqCZZ5LSu7naWEAAACoctzcAwAAZTRu3FgkVYoTEs6L1Ku0uTB+3/Yzl0UcfYNbOd/tPpImISHj4bQSAAAA94YRQAAAoAw7D4/aIiKRGzakV95a/Mcnwb169er11uoL5f9DaDSaSsUlkYeO8bR4AACAxwIBEAAAKKv9yNc8FSKF22dO31Mx1En5ceGGXBGxCgxscf0VI0tLcxGR05GRFYsTF09acv6hNxcAAAD6IAACAABlGbf6eOagOiKSOK9nh5C1Mfml118vOLcu5MWQLbkiymdeH9XpxixyRfPmviIieSvfH70qruDmTvJPfjek6/u7iv7mONnZOQ/rFAAAAFCRQqdjbDYAACgnNXxM8NDFUXkiIkqrek08HYtTz8Wl52lFxMR70oHDU/zMbtZmrhrgO3B1uoiImaOXv5+7TW7MkaNnLuSXiqmXl2tU1DlxHR+ZMMvvRn3R8heshoaViMLOp/tzz5jV7Dn7v8MbPfpTBAAAeLowAggAAFTk3GfRocgVrzW3ERFtXlpU5NFz6XlaUTq2e3Pp4d2T/0p/RMRhwHfrv3rJp6ZCpCgjavemsI171BfyS8XEdeD3Gz9pWWnfZsGjRrgqRXTZJzevXh22MzbvkZ0WAADA04sRQAAA4A50mpTD2yOOxJ2/KvZunk08fXy96loqbltamn12776jZ2Nizp2NjkkX51a9X3tnsK/1mV+nrIoS27aj3u6iKlOdH7t93e/HU3ON7VTu7fv2bGrzaM4HAADg6UUABAAAAAAAYOCYAgYAAAAAAGDgCIAAAAAAAAAMHAEQAAAAAACAgSMAAgAAAAAAMHAEQAAAAAAAAAaOAAgAAAAAAMDAEQABAAAAAAAYOAIgAAAAAAAAA0cABAAAAAAAYOAIgAAAAAAAAAwcARAAAAAAAICBIwACAAAAAAAwcARAAAAAAAAABo4ACAAAAAAAwMARAAEAAAAAABg4AiAAAAAAAAADRwAEAAAAAABg4AiAAAAAAAAADBwBEAAAAAAAgIEjAAIAAAAAADBw/weVvxIrm81cBwAAAABJRU5ErkJggg==" width="768" /></p> +</div> +<div id="position-adjustments-2" class="slide section level2"> +<h1>Position adjustments</h1> +<p>You can also use <code>fill</code> with another variable:</p> +<div class="sourceCode" id="cb6"><pre class="sourceCode r"><code class="sourceCode r"><span id="cb6-1"><a href="#cb6-1"></a><span class="kw">ggplot</span>(<span class="dt">data =</span> diamonds) <span class="op">+</span><span class="st"> </span></span> +<span id="cb6-2"><a href="#cb6-2"></a><span class="st"> </span><span class="kw">geom_bar</span>(<span class="dt">mapping =</span> <span class="kw">aes</span>(<span class="dt">x =</span> cut, <span class="dt">fill =</span> clarity))</span></code></pre></div> +<p><img src="data:image/png;base64,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width="768" /></p> +</div> +<div id="position-adjustments-3" class="slide section level2"> +<h1>Position adjustments</h1> +<p>The stacking is performed by the position adjustment <code>position</code></p> +<div class="sourceCode" id="cb7"><pre class="sourceCode r"><code class="sourceCode r"><span id="cb7-1"><a href="#cb7-1"></a><span class="kw">ggplot</span>(<span class="dt">data =</span> diamonds,</span> +<span id="cb7-2"><a href="#cb7-2"></a> <span class="dt">mapping =</span> <span class="kw">aes</span>(<span class="dt">x =</span> cut, <span class="dt">colour =</span> clarity)) <span class="op">+</span><span class="st"> </span></span> +<span id="cb7-3"><a href="#cb7-3"></a><span class="st"> </span><span class="kw">geom_bar</span>(<span class="dt">fill =</span> <span class="ot">NA</span>, <span class="dt">position =</span> <span class="st">"identity"</span>)</span></code></pre></div> +<p><img src="data:image/png;base64,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width="768" /></p> +</div> +<div id="position-adjustments-4" class="slide section level2"> +<h1>Position adjustments</h1> +<p>The stacking is performed by the position adjustment <code>position</code></p> +<div class="sourceCode" id="cb8"><pre class="sourceCode r"><code class="sourceCode r"><span id="cb8-1"><a href="#cb8-1"></a><span class="kw">ggplot</span>(<span class="dt">data =</span> diamonds) <span class="op">+</span><span class="st"> </span></span> +<span id="cb8-2"><a href="#cb8-2"></a><span class="st"> </span><span class="kw">geom_bar</span>(<span class="dt">mapping =</span> <span class="kw">aes</span>(<span class="dt">x =</span> cut, <span class="dt">fill =</span> clarity),</span> +<span id="cb8-3"><a href="#cb8-3"></a> <span class="dt">position =</span> <span class="st">"fill"</span>)</span></code></pre></div> +<p><img src="data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAABgAAAANgCAIAAABlQDTBAAAACXBIWXMAAB2HAAAdhwGP5fFlAAAgAElEQVR4nOzdZ2AQRd4H4EkhhWJC7026BBVBFEEMVixnAwuCFbue5dSzKzbsvJ6iomc7GyogNixgQURQFFGpYqQKJCBSQjMh5P2g3lFCDWnr83wiM7M7/4URz9/Nzsbk5+cHAAAAAKIrtqQLAAAAAKBoCYAAAAAAIk4ABAAAABBxAiAAAACAiBMAAQAAAEScAAgAAAAg4gRAAAAAABEnAAIAAACIOAEQAAAAQMQJgAAAAAAiTgAEAAAAEHECIAAAAICIEwABAAAARJwACAAAACDi4ku6gOhYsmRJfn5+SVfB1sTHx6empoYQfvvtt+zs7JIuB3bGf5fx2rVrV65cWdLlwM4oV65cSkpKsIwpyxISEnbbbbcQwpo1a1atWlXS5cDOSExMrFSpUghh9erVq1evLuly2IZq1aqVdAmUeXYAAQAAAEScAAgAAAAg4gRAAAAAABEnAAIAAACIOAEQAAAAQMQJgAAAAAAiTgAEAAAAEHECIAAAAICIEwABAAAARJwACAAAACDiBEAAAAAAEScAAgAAAIg4ARAAAABAxAmAAAAAACJOAAQAAAAQcQIgAAAAgIgTAAEAAABEnAAIAAAAIOIEQAAAAAARJwACAAAAiDgBEAAAAEDECYAAAAAAIk4ABAAAABBxAiAAAACAiCtTAdCaxTMz5i3N3dHL8lYumvNjxrzlOfm7YhgAAABAGRNf0gXsgIXv3n3Ff9af+eRD3Wtt7yU58z58/MHnRs1ckRdCiKtYu/XBfS4/u0P1uJ0bBgAAAFAWlZ0dQGunvvVBxg5dsWryC9de8/BHM1cm1mq5X6f2TSvnZn7/1l1X9R0+J28nhgEAAACUUWVgB1B+zvL50758/5WXhmfuyGXrZgx6eMhPq+Pq/63v/eftVT6EkL/k03uvenDsd888+nb7+46vuUPDAAAAAMqs0r4DaMpzF55y8ukX3zzgrSlLd+jCnAnvjMzMDzX/dkWfvcr/3hRT9aArL+icHHKnD//gpx0bBgAAAFB2lfYAKLlmy3YdO3Xq1KlTp7RaO7JdafL4r9aEULXD/s02fMTEdh3bJoSQ9dX4uTs0DAAAAKDsKu2vgO1+5BXXHvn7Lyc/3vuG91Zs53WLZ89eFUJ8WlrLjdsT0tKahbFTfp47Jy80iNveYQAAAABlWGkPgHbWoqxFIYRKKambbnHaLSUlhJCXlbUkhBrbO2wjOTk5ixcv3nzKpKSkuDhhUakWG/vHH3RMTIw/LMqo/y7d2NhYy5gyyt/GRIBlTARYxvBXE9UAaM3aNSGEipUqbtoRV6lS+RBW/96/vcM2MmXKlPPOO2/zKT/66KOUlJRdUDtFLyEhISEhoaSrgEKxjImAxMTExMTEkq4CCiUpKSkpKamkq4BCSU5OTk5OLukqgCIX1QBo/fr1IYSEcpv/x1G5cuVCCOvWrduBYaXOYbEnlXQJ/HWNXD94l9zHMqYEWcZEwC5ZxtYwJcsyJgJ21f+ogGIQ1QAoNTU1hF9WrV61Wc+qVSv/7N/uYRupVKlShw4dNp8yPz8/Nze30JVDaWedEwGWMRFgGRMBljERUGzL+PctClAYUQ2AqlSuEsIvK7NXbtqxNjs7L4SYKlVSd2DYRpo2bfrYY49tPuWSJUuWL1++S6qH0sw6JwIsYyLAMiYCLGMioNiWcbVq1YpnIiKstH8GfmelVk6NCWHVwoXZm3RkZWWFEFKqVI7bgWEAAAAAZVhUA6D45s0bh5A/ZcKEtRu1L54wYV4IyXvu2WxHhgEAAACUYVF9BSzU7dS50UszZ08c+XHWQUfVjPm9MWfmiE8yQqic3q1D0g4NA4DNxe6zR0mXAPBX569igO0UjR1AGW/d269fv37PjFv6v7a6R/XuWjn8Nunpux7/dMaitTnZP08a/uCdr83Jj2t81JFpcTs4DAAAAKDMisYOoGUZX33xRU5o2uKcDRrLd7jwxt5Zd7w05f0Hr34/JiYmPz8/hPhanS+9/qRGOz4MAAAAoKwqQwFQhTqt2rRZXbt6wuZdleq3btNmXai7SV9S85PvGtB29IiPv8lYuDw3uUq9PToedmiH+smbXL2dwwAAAADKpjIUADU+7sa7jiu4q8VJt911UoE9sSnN0k9qlr6te2/nMAAAAIAyKBpnAAEAAACwRWVoBxAAALuSzycBwF+HHUAAAAAAEScAAgAAAIg4r4ABJcN7BwAAAMXGDiAAAACAiBMAAQAAAEScAAgAAAAg4gRAAAAAABEnAAIAAACIOAEQAAAAQMQJgAAAAAAiTgAEAAAAEHECIAAAAICIEwABAAAARJwACAAAACDiBEAAAAAAEScAAgAAAIg4ARAAAABAxAmAAAAAACJOAAQAAAAQcQIgAAAAgIgTAAEAAABEnAAIAAAAIOIEQAAAAAARJwACAAAAiDgBEAAAAEDECYAAAAAAIk4ABAAAABBxAiAAAACAiBMAAQAAAEScAAgAAAAg4gRAAAAAABEnAAIAAACIOAEQAAAAQMQJgAAAAAAiTgAEAAAAEHECIAAAAICIEwABAAAARJwACAAAACDiBEAAAAAAEScAAgAAAIg4ARAAAABAxAmAAAAAACJOAAQAAAAQcQIgAAAAgIgTAAEAAABEnAAIAAAAIOIEQAAAAAARJwACAAAAiDgBEAAAAEDECYAAAAAAIk4ABAAAABBxAiAAAACAiBMAAQAAAEScAAgAAAAg4gRAAAAAABEnAAIAAACIOAEQAAAAQMQJgAAAAAAiTgAEAAAAEHECIAAAAICIEwABAAAARJwACAAAACDiBEAAAAAAEScAAgAAAIg4ARAAAABAxAmAAAAAACJOAAQAAAAQcQIgAAAAgIgTAAEAAABEnAAIAAAAIOIEQAAAAAARJwACAAAAiDgBEAAAAEDECYAAAAAAIi6+pAuIjooVK5Z0CVAcKlWqVNIlQGFZxkSAZUwEWMZEgGVMGSIA2mViYmJiYmJKugoocrGxdg5S5lnGRIBlTARYxkSAZUwZIgDaZbKzs/Pz80u6Cihyy5cvL+kSoLAsYyLAMiYCLGMioNiWcbVq1YpnIiJMAAQAAJRVy1qllHQJAGWD7WoAAAAAEWcHUJkUu88eJV0CAAAAUGbYAQQAAAAQcQIgAAAAgIgTAAEAAABEnAAIAAAAIOIEQAAAAAARJwACAAAAiDgBEAAAAEDECYAAAAAAIk4ABAAAABBxAiAAAACAiBMAAQAAAEScAAgAAAAg4gRAAAAAABEnAAIAAACIOAEQAAAAQMQJgAAAAAAiTgAEAAAAEHECIAAAAICIEwABAAAARJwACAAAACDiBEAAAAAAEScAAgAAAIg4ARAAAABAxAmAAAAAACJOAAQAAAAQcQIgAAAAgIgTAAEAAABEnAAIAAAAIOIEQAAAAAARJwACAAAAiDgBEAAAAEDECYAAAAAAIk4ABAAAABBxAiAAAACAiIsv6QIAoKxa1iqlpEsAAIDtYgcQAAAAQMQJgAAAAAAiTgAEAAAAEHECIAAAAICIEwABAAAARJwACAAAACDiBEAAAAAAEScAAgAAAIg4ARAAAABAxAmAAAAAACJOAAQAAAAQcQIgAAAAgIgTAAEAAABEnAAIAAAAIOIEQAAAAAARJwACAAAAiDgBEAAAAEDExZd0AQAAAED0LJ7y6dRfQtityf5t6yUWyQzrFn73+YxlIVRp0blNrbgimSJC7AACAAAAdrW8j29KT09PT7/41cyimmL5W1ekp6enp/9z+MqimiJC7AACAAAAomPRZ/9+duyvIXnv0y47on5JF1N6CIAAAACAMigutUHLli1DqJey0etNC0f0v+7O6aHahfsLgDYgAAIAAADKoNRT/jPtlJIuosxwBhAAAABAxNkBBAAAAOyonGXzZs1e8Ou6SjUbNmpcvXzMztwjd8X8n378eVX5WvXr1a5eKaGAeyyZNnryovy42nt2bl45hBDW/pIxdep3i3br1m3vCmF91qTPpv+6wVfAlv049rsFuRlzVocQQu6Cbz/9NISQ0rTj3nUT8jInjfnh1xAS6rXt2GS3AmpZPPXTqYtDiKmR1qVV1Z15mNLODiAAAABgu61fPO6xiw5pXqNag5Zt9z9g39ZNalSt277HjUNnrNreO6yY/Motp3ZqWXe38in1WrXfv/0ejWrulpza4pgrHxs9P3fjoWNuPyQ9Pf3I+8eHsG724Ms6NazVrN1BPR78cm0IIax5/58bfwVsQv/j0tPTz31hbgj/+0bY34csDiHELR5yfnp6enqnPs8vKKCk/PF3H5menp5+yK0fr9u535ZSTwAEAAAAbJ+1Ux87dq9Olwz8+Mflef9rXDhhaL8ee3a4bMTibd9h8XsX7LdvzzteHfvDguwNspb1K2YMf+iSgw+66IMlBV2VnzX0rPRTHxm7KC+EEGK2sN+ocvNO6enp7RuWDyGEcnX2Tk9PT09vWy8xhBDadO/eLISQP2bYm5tXmT/uldfmhhDiD+t9cs1tP0OZJAACAAAAtkfeN3ecdOnwhfkhVD/o6mff/fKnxcuyMr5+495TW1YI4bepj5x8wWtLt36HVe9ff+6T09eGkJR22v1vfJWxYOnKlb/On/HF6/edukdiCHk/PX3J/V9vdlX+3Gf7nPvSwgZH3Tp47ORZi1a+d37BL2ntc+Ubn3zyyVOnNwghhJRjH/rkk08++eTh7tVCCCHs2b170xBC3qevv7VpxpT/2SuvzQ8hJB7Rq3v1Hf1NKSsEQAAAAMB2yHz++oem5odQ42//Hjfi/rOO7LB7tZQaTdod989Bnzx7co0QwvI3Hnxq5lZv8fWbby4IISQd0n/Ei1cf175J7dQKFSrXabbfCde8PPy2fUMI4afx4zfbA7RqxGvDq176weThfXt0bN2oeoW4nSq/XY8ejUIIeaNef+vXjTrWf/bK4PkhhPJH9zo+daduXRYIgAAAAIBt++KB20asDiGmzeX3ndskYaOuWidde2bjEEL+xC/H52zlFr/F7t6td+/eva+76uTam7zGFdOo7d6VQwhh8eJfNr+w0jG33ZpeoXD1h3bduzcKIaz7cNg7KzZoXjfqlSGZIYQKx/U6rmIhpyjFfAUMAAAA2KZfvv56TgghHHjeuS037237z/e/6L40hAoNtnaPxAOveeHAgrtypo+bsGyLFx5w3HHVdqDWLWjf/cSGD/afkzPi9XdXnnHqH2HPuo9fGbI4hJByQq+jyxd+jlJLAAQAAABs048//hhCCCnNmtUooDemWvP9diii+W3p3B9/mJHx08xZs2b+OG3Sl5989M3C/C0NrtKw4S7Zm7N/j+51+/ef/9uIYe+tOvWkCiGEkPvxK0MXhxCq9eh1ROKumKO0EgABAAAA27I6I2NBCCHUr1+/UPfJWzzu6Ttvf2TQJ5MX/7Zhe2KNutWWzv8lt8CL6tSpU6hJ/xSzf/cT6/Z/ZP6ad19/f+1J3ZNCyBn5yrBfQwg1Tul9aLQjkmg/HQAAW7SsVUpJlwBA2VEuKSkuhLzw22+/bXvwlqzLeOrELue/vTA/hJBUM61Dx/3a79WyWZNmLVq3bb/3j/+seejAAs7/CSHEx++i+CKmY/cT6jwyYMHK4cM+/K37MYk5778ybFkIod6pvbpEPCGJ+OMBAAAAu0C55s0bh5AR5syenR/2idmsPz93zeqc9SHEJ1VI3NJXuhY9f9nf316YH+KanfbYyw+d0776RqHEj0VR9qZiDuxxYs0BA7Ky33n9o5xjDn7/lTeWhRAa9+zVMepfyYr68wEAAAC7QNPmzWNCCDlfjp2Qt3nvb8POrFGxYsWK+9w+dYt3WPfR8BFrQwhVzhjwn/M3SX9CyF+1as0uLbhgsQd2P75GCGH5W8M+WfHuK29lhxCa9urVoRimLlkCIAAAAGCbKhx6TNekEMLMJ+8Z/Oumncvefvm9lSGEKgcdlLbFO6xasSIvhBBq1K27+ftIy0e+MWrVrqt2y2IP7H589RDCkjdf+OeLb60KIbTu1Wuv4pi5ZAmAAAAAgG2rf959lzWPCSF76CV/u+mjrP99smv1jH+f8/ehy0IItbv36LT522F/SmnTpn4IIcwY9uJXqzfsyJ762pVH9nx2XgghhFWrdk0O9NvatQV3xHXtcUKVEMLil54YtiqEsE+vXgV81z5ynAEEAAAAbIf4djf866Ihxz0289exdx3R6rWOB3Zq1zxl5ezxI94eN++3EELD85554PAKW7lB+9P77Dmg7/e5U+5JbzPx9NMO3qNG7K+zpn3/+Xtvj1+YV2OvNrW/m7QwzHrx+uubnn3sEad0bLjlLGlrypcvH0II2W/3u7z/zOaxKR36nLZvpY2eo2v346o8+ezv25hiOvQ+rdlOzVPGlIkAaM28L0eMHDft5xWxNZq0arn3fp1a1yi3jUtmvXnXU+NXb2VAapeLrzmibgghLPn00f4jFhQ0puZhV16WXm1nqwYAAIBoSen26Dfj0s475R+DM5b+OOatH8f82RFXo/PFDz55T7fdtnp5QtubXhk47di/v5qxeuYHT9z5wZ/tiQ0OvfHxZ26p8q9mHR+cGxaOuOeCEdNfPGlYwy0dJr11TQ4/qsXN3/yQt2T0w1eNDqHzQydtEgCF+IO7H1v52eeWhhBiO/c6teFOTVPWlPoAaF3mZwPv/NeIuTm///j1mHdfffndHtfdePpeKVtLAlctmDZp0oqtDKjR4s+zpX6eOm4LQ1fsVYhv2wEAAED0pOxz0WsTDxvx6qC3R0+anbUyoXbTVi1b7XtUz+PapG40LqZGWnr6shD2qJ+0QWtcq3NemXrExc8/N3zCDzNmLcqrVLtp+0OOP7VHlwZJIYTb3n056f7XJiz4rWKDo/aICSGEansclJ6eF5o2LF9AKXG19kxPXxvCnrU3Cjdi29360ce1H3rm4ymZq5Or1Tlg74qbXRl/6NGHJzz3ak6IO7jXKbUL/XtSJpTyAOi3b5+84f4Rv8RUa9fzjOP2a1JxydRPBj/79vQhffsmPtT/lK1sBmt41FW37FvAseQhf9HogQNHLanfueMfCd+azMwVIVQ+8Py/d621ydjkulV32ZMAm1jWKqWkSwAAAHZKxaaH97n58D5bHRPb9Y5PuhbYU65ulz43dino6gqte975XM8NWzrd/OEnN29piqQj7v3kiII64ut2ufj+Lhdvpbrvv/o6J4RQ7tBeJ9XcyrAoKd0BUOa7z3/wS4jfvedN15+6e0IIYff6TVvWyLny1g9+GvrSmL/dcGBBCWAIIYRKDdu2L2gP19IPb39gcWy9Hpef1uyPt8gWZi4MIdTb86D27SsVcAEAAAAQKXmfPffCTyGEpCN7nVilpIspLqX6K2ALxozOyA9xex1z7O4J/22s1Pb4QxqGsPbr0Vs946dAyz4d+MzXa+ufcHnP5n/ecH1W5uIQyteqJf0BAACAv4DMlx94aWEIofzfep2w9UOLoqQ07wD6bdrUmSGEPdq323ijT9199609aM7CadN+DOl77cD9ssc98dS4VfVOvO20Fv87Q3rxwsy8EGrV+qts+QIAAIC/pDVTP3j7p9z1s0Y+esdby0MI9c76+/GbHw8UWaU5AJo/7+f8EMrXrVd5k466deqGsHDFzz9nh722e+POb9/854nPl1fq+veTm234CbHMrMwQYmtVi//ho0GfTp6TuSKueoPGjVp37Nq+btIW7wUAAACULSs+ueeUS0f9+VP1E+6+7sCErQyPmtIcAGVnrwghVKq4WR6XvFuluBDyVmSvCGE7A6D8+e88/+Gvcc3P6tlho+1E2ZkLV4UQ9+2TF49dtfaPtq8+C0MHDW3f88rLe7Qu4JDaefPmvfDCC5u3X3TRRcnJydtXDpRhFTf/ZxLKGsuYCLCMiQDLmAiwjMuW+Cq1qyfFLF6bn1Cn83n3PvFg7/olXVGxKs0B0Nq1v4WC/4GqULFiCMvXrl27+UUFW/35i0Nnrq98RO+jN/nSV1ZmZgghb01si79ddPz+LRpUjVk6b+qnr738wY9fP3/XIzUeu6lL6qb3+uWXX15//fXN57jkkkuSkuwaIvqscyLAMiYCLGMiwDImAizjsqVqz5cXdX90/i8x1WunJmz5s+JRVZoDoOTyySGsXLdu3WY9uTm5IYSkxO38R239zNdfGrsytmWfU/ZO3KQrsclBPXrkVWp5xLEdasaFEEKoU6dx6333qn71ZS9kjH/ypYmdL2lbqg/KBgAAALZTQuW6dUq6hhJSmgOgypUrh7Aye2X2ph152StXhxAqV9n0cKCC5X791nvz8+PaH9612mZ99Tv3OqPzZq2x9U44pfNrd41aMW36gtC23sadLVq0KPAVsHXr1i1btmy7KoKyzDonAixjIsAyJgIsYyKg2JZxaupmL6fADir1AdC87OUr8kPYaG/WyuwVIYTEKpXLb+HKjaz+YuTn2SFx/66dduDjbvENG9YNYeb8n+fnh3obbwwrX758q1atNr9kyZIlBe1WgqixzokAy5gIsIyJAMuYCLCMKUNK8+tNFWvWLB9C7rSpGRu3r5s6LSOEULt27e25y7LRI77+LZTvePB+mx/QnLvs51mzZs39pYCzhFavXh1CqFmz5l/vtUAAAAAgYkpzABRa77NPQgiZX42ft2Hr+slffbMmxDQ9OH17zute+tmo7/NCYodO7Qv4uFv+tJeuufzyS299Y96mHQu//S4rhHKNd/9rnQkOAAAARFGpDoAS9zv60GohzHvz0dfn5P3RtnrS0//+JDvEt+12cM3/Dly9ePasWbNmzV++2e671d9O/CE/xDRvvUdBL7sltO3aOSWEea8/9Py0lfl/tuYt+e6F/q/MyI9r0L3H/nG7/KkAAAAAildpPgMohPjWvS49YsJtH0z9zw2Xfb/fvrsnL542/qspWXmJzc84I32DE32mvnD17aNyQtMzn+zffaPvvOdN/m5yXgj199ijUoETJHU4+5ruC+4dOn3IdeeOS9urea3yuUvmzZg6Y9HaUL7F6Zef3KR0//4AAAAAbIfSHnBU2ufCu2+t/NiTb0345sN534QQ4lKadD3zkvOP3r2AN7o2N/27b9eGULFVq3pbGpGy55l3P9Ti+Yefev/7SePmTwohxCSkNOx48rnnn7BXVdt/AAAAgAgo7QFQCHHV9jntloE9li9ckLU8N6lK7bo1Km6Wy7Q4+bZ+h+eH5FpVNm5fX+ewq/t1DMm1mm/tKOe46vuffcf+vbOzFmQty02qUa9O5aRS/WYcAAAAwA4p/QHQ7xJSajdK2eJXvyrVa51W0B6f2MqN0ipv5wzlKtVsWKnmtscBAAAAlDG2ugAAAABEnAAIAAAAIOLKyitgAAAAQEnKzc3Nzc0twQJiY2OTkpJKsIAyTQAEAAAAbFt+fv5xFc8swQLeXPmfEpy9rPMKGAAAAEDECYAAAAAAIk4ABAAAABBxAiAAAACAiBMAAQAAAEScAAgAAAAg4gRAAAAAABEnAAIAAACIOAEQAAAAQMQJgAAAAAAiTgAEAAAAEHECIAAAACDCJj/cvWvXrkfc+8UWR3z3WO+/nfXvH4qxpuIXX9IFAAAAABSd5T+OHTUqM6nRki30rx/3zN0vvROq31SsVRU3O4AAAACAv6r1yz674ZKBP5d0GUXPDiAAAADgr2bZN6888+YX337+7hsf/5idX9LVFAMBEAAAAPBXM2fwzVfdk1HSVRQjr4ABAAAAfzUtrnh38h+GXdy4pKspBnYAAQAAAH81STWbta75x69rJJZoKcXDDiAAAACAiBMAAQAAAEScAAgAAAAg4gRAAAAAABEnAAIAAACIOAEQAAAAQMQJgAAAAAAiTgAEAAAAEHECIAAAAICIEwABAAAARFx8SRcAAAAAUHTaXP76qB45sbXabKG/8VnPj0pfnVhvj2KtqrgJgAAAAIAI261px4OabqW/fMN9D2pYbNWUFK+AAQAAAEScAAgAAAAg4gRAAAAAABEnAAIAAACIOAEQAAAAQMQJgAAAAAAiTgAEAAAAEHECIAAAAICIEwABAAAARFx8SRcAAACwk5Y3iSnpEgDKBjuAAAAAACLODiAAAABg28qVK/fBuldLugp2kgAIAAAA2LaYmJiYGO9dllVeAQMAAACIODuAAAAAgG3Lzc3Nzc0twQLi4uISExNLsIAyTQAEAAAAbFt+fv4JXe4twQKGjb62BGcv67wCBgAAABBxAiAAAACAiBMAAQAAAEScAAgAAAAg4gRAAAAAABEnAAIAAACIOAEQAAAAQMQJgAAAAAAiTgAEAAAAEHECIAAAAICIEwABAAAARFx8SRcAAAAAUPTWZk3+5vsZP2XMnJ+dWLV2nd3bpndJq1pu83Hz3nvwmfEr4/c+7cbjmm3Stebn8R9+/E3GwhVxNZu0arXPfh0a7xZTLLUXngAIAAAAiLT1WWMev+36fk+PWZCzYXN81TYn3TBwwJUHVNkoxZn77gN9B2QmndV+owBo9dQXLu992dMTl+X/tymu+gEX3jfw7rPaVCri+ncFARAAAAAQYWu+vLnbIf2+zYlNTTv+/B6d9mhQLX7FwrnTxw55afikQVd1GT/jnQkDu6Vs/R5Zw84+7MzXFuQnNU4/9aRjDmxdcfG3w58a+PbYR88+fEmlSYO6VyueRykEARAAAAAQXRPv6nX3tzkJra98b3T/g6ts0HF7v0+v7XL4/ZOfOOuaE2c9eXjylm+RP/Hh619bkJ/Q4rzXRz95ZI0QQghnXHDZWXd33e+GL1+54Lozj3mqW2LRPkWhOQQaAAAAiKz5oz/9KT+UO/K6OzdKf0IIMZUPuufhc2uFkPXSiyO3eo/vXn31hxB26/nAgD/SnxBCCMl7Xtvv7FohLBk1alIRFL6L2QEEAAAARNasWbNCCPHJyQkFdMZ26HnjpbE/hD1q5IRQ0IAQQgj5c+fOCyG03X//TYbEtm7dMoTMmdOn54h0Vr0AACAASURBVIb2BRwnXZoIgAAAAIDIat6qVVyYv2boTRe+3Oqh0/aouHFvhc6XPtJ5W7dY1/KMx546JDQ6eNOTfvIzMmaGEGrUq1fK05/gFTAAAAAgwmqc2feKlgkhd/rTvdrUadzp5MvveurNsRlLc3fgFuWad+vTp0+fQxpv3Lx+ztO3Pzs3hDo9enTcpSUXCQEQAAAAEF1JnR4Y9/njF3drmRqTPXvs4IdvOu/4Ts2qVa63zxGnX9V/2MRFOxIF/c/Srx87+eBLRiwPtbs/cEN6aT8BOgiAAAAAgIhLbX/ho+9Ny8qaNnro47f//ZSD29RMXD1/4ogX+1914j71mh//f18v34Gb5S/99tm/d265/yVDZ66vd/TDH7zYs06RFb4LCYAAAACAv4CEqi0PPPHCmx9+5aPvM5ctmjTi2dtOb1c5Jnf2m/84/MwXF23XLdbMGPyPTi3anTPg88WV9jzrsXGT3vl7m6QiLnsXEQABAAAAEZW7aPqECRMmzl6xSXtCtbTDzrrl+a8mv9azdghL3+z/3Mxt3Wr19wNPbbv3yf837tdqnS5+4ssfJz57UfvUIiq7CAiAAAAAgIjKG3nNvu3bt7vkzdUFdsfU6XH+sVVDCBkZGVu9z7qf/n3yYRe9+kNMy56PfTH9s0fP37daGUtUyli5AAAAANsrqWXLhiHkfz5kaGbBAxZNm/ZrCKFhw4Zbu80PD5560fBFye3+OXLcyxe1rxxTBJUWtfiSLiA64uLiSroEKA7x8f7eoMyzjIkAy5gIsIyJAMu4LGh38RWd/3XFmLeuOPHaSs/fdnzTjU7syfnxyT63jc4P5Tud27PFlu+RN+6xx77OCy2vfqbfAWXopa+NWay7TEpKSkxMWQwBYcekppbZv/DgT5YxEWAZEwGWMRFgGZcJjS9++pGRXS4cPu6+E/Yc3LnbgW2a7N6odvmcpYvmTf7ojeETF+WG2j2efe2y3bdyi0nDh88NITl51uC+Nw8uoD+p3Rk3Ht+sqB5gFxEA7TLZ2dn5+fklXQUUueXLd+QDiVAqWcZEgGVMBFjGRECxLeOUlJTimSiayjW/YOgX9e67+ur7h00fM2zWmA264mt0OP3ym2+58pg6W9vPkTdz5pwQwpqJL945scABqed2FgD9heTm5gqA+CvIzc0t6RKgsCxjIsAyJgIsYyLAMi4zEhsdffOQo69dPPmzUV/NWLB46dqkGvUbNmzUJK1tWu3kzUY3OOrqvtVWxu/d/I+f19Y/4qa+W3lDLCTt07RIyt6lBEAAAADAX0BC9bRDTko7ZJvj6h951a1HbvBzhX3PvHXfoiurmPgKGAAAAEDECYAAAAAAIk4ABAAAABBxAiAAAACAiBMAAQAAAEScAAgAAAAg4gRAAAAAABEnAAIAAACIOAEQAAAAQMQJgAAAAAAiTgAEAAAAEHHxJV0AAAAAUAaUK1fu3S9vKcECYmJiSnD2sk4ABAAAAGxbTExMXFxcSVfBTvIKGAAAAEDE2QEEAAAAbNu6detyc3NLsIC4uLiEhIQSLKBMEwABAAAA27Z+/fr08x8vwQI+eeJCAdBO8woYAAAAQMQJgAAAAAAiTgAEAAAAEHECIAAAAICIEwABAAAARJwACAAAACDiBEAAAAAAEScAAgAAAIg4ARAAAABAxAmAAAAAACJOAAQAAAAQcfElXQAAAABA0VubNfmb72f8lDFzfnZi1dp1dm+b3iWtarnNx81778Fnxq+M3/u0G49rVvCdFn7675enNz3tgq61i7biXUkAVCYta5VS0iUAAABAGbE+a8zjt13f7+kxC3I2bI6v2uakGwYOuPKAKjEbNs9994G+AzKTzmq/pQBo5rNXnn/j4is6C4AAAAAASoc1X97c7ZB+3+bEpqYdf36PTns0qBa/YuHc6WOHvDR80qCruoyf8c6Egd22f59F1us3DZgYQr0irLgoCIAAAACA6Jp4V6+7v81JaH3le6P7H1xlg47b+316bZfD75/8xFnXnDjrycOTt3qXdctmfT/xu28/f+e5gS9+trBoKy4SDoEGAAAAImv+6E9/yg/ljrzuzo3SnxBCTOWD7nn43FohZL304sht3WbKvYe3O/iEPjc//dn834qq1CJlBxAAAAAQWbNmzQohxCcnJxTQGduh542Xxv4Q9qiRE0JBA/6r7rG3Dqi3PIQQwoJ37+j3blYRlFqkBEAAAABAZDVv1SouzF8z9KYLX2710Gl7VNy4t0LnSx/pvD23qdax9yUdf//llF8GlMEAyCtgAAAAQGTVOLPvFS0TQu70p3u1qdO408mX3/XUm2MzluaWdF3FTQAEAAAARFdSpwfGff74xd1apsZkzx47+OGbzju+U7Nqlevtc8TpV/UfNnHRXyQKEgABAAAAkZba/sJH35uWlTVt9NDHb//7KQe3qZm4ev7EES/2v+rEfeo1P/7/vl5e0hUWPQEQAAAA8BeQULXlgSdeePPDr3z0feayRZNGPHvb6e0qx+TOfvMfh5/54qKSrq6oCYAAAACAiMpdNH3ChAkTZ6/YpD2hWtphZ93y/FeTX+tZO4Slb/Z/bmaJ1Fd8BEAAAABAROWNvGbf9u3bXfLm6gK7Y+r0OP/YqiGEjIyM4i2s2AmAAAAAgIhKatmyYQj5nw8ZmlnwgEXTpv0aQmjYsGGx1lX8BEAAAABAVLW7+IrO5cLyt6448do3MtZu0pnz45N9bhudH8p3OrdnixIpr/jEl3QBAAAAAEWl8cVPPzKyy4XDx913wp6DO3c7sE2T3RvVLp+zdNG8yR+9MXziotxQu8ezr122e0nXWdQEQAAAAEB0lWt+wdAv6t139dX3D5s+ZtisMRt0xdfocPrlN99y5TF1YkqsvOIiAAIAAAAiLbHR0TcPOfraxZM/G/XVjAWLl65NqlG/YcNGTdLaptVO3mx0g6Ou7lttZfzezbdwtxrpl/bt+8tu+9cr2qJ3MQEQAAAA8BeQUD3tkJPSDtnmuPpHXnXrkVvpr37QJbcetOvKKiYOgQYAAACIOAEQAAAAQMQV6hWwua9efvkrcxuc+q9/ndJgqwPXfnh7z0cnxnS6ZujVB0T/XCUA/iKWN/EvNQAAyoZC7QDKnv7xG2+88fH07G0NTPp18ltvvDHs3W8XF2Y6AAAAAHbCju4AWr90zrQFK//44cdFa0MIaxf9OGXK1i7JWTJ+2Pj1IYSVK1eGUGOn6gQAAABgJ+1oALTm9QvTzn1/o6aMx05Ie2x7ri3fokXZ+kQaAAAAQBQU2yHQMdW63PHPYxKKazoAAAAA/rCjO4CSjrz7ww+v/uOHWc+fe97zsxud8e+nzmi81atikqo13TOtQaW4naoRAAAAgELY0QAors7eh9T584cpYyqGECru3vGQQ1rv2rIAAAAA2FUK9Rn4ej3uf6Xl8pQ0J/sAAAAAlF6FCoBSWnc7xdYfAAAAgNKtUAHQH3IWTvx41Lhvps7LXrf1gTUPveKKQ2rughkBAACA4hUfHz/mmb+XYAExMTElOHtZV9gAaN2s1y/rcc7j3yzfnsFpSb0FQAAAAFAWxcbGxsYW28fE2cUKGQDNf7JP78e/WfP7D+UqVatSIX4rcVzVirtiwxEAAAAAO6JwiczXj9z3yZoQQpWO/3jyyRv/llYlYddUBQAAAJQu69atW7duG2e/FKnY2NiEBMHDTipUAJQ9efKcEELFbv1ff7B7rV1UEQAAAFD6rF+/fu97Hi/BAr755wUCoJ1WqJf35syeHUII7Y85WvoDAAAAUFoVKgBavvyPs58dww0AAABQahUqAGresmVsCOHrsWNzdlE5AAAAAOxqhQqAqp90Ra+6MWHlq1dd+eF2fQceAAAAgGJXqAAoVDn68TceOKRW/o+PnXDAyXe8OX3F+l1UFgAAAAC7SqG+ApY58sEHR2TueUj7b14aP3XwLccPvjWxcr0mu9erkhxX4PjG5zz//NmNCzMjAAAAADuqUAHQkrHPPfDA5A0a8n9bOm/qhHlbGr/s0NWFmQ4AAACAnVCoAKhS8y7HHNNo+8c3aF6pMNMBAAAAsBMKFQA16Pno2z13VSUAAAAAFInCHQINAAAAQKknAAIAAACIuEK9Arbsuzff/HbZ9o9P3fu44/ZKLcyMAAAAANtp2din/jVyfkjpeN4Vh9fZwpjMjwc88dmSUPewK889YLf/tq7NmvzN9zN+ypg5Pzuxau06u7dN75JWtdyW5lnz8/gPP/4mY+GKuJpNWrXaZ78OjXeL2dXPUkiFCoDmv3HTWX0nb3vcn9L6Tt7ZAChv5aKfF66IrdGgXkrC9v4e5v4y84fMAr87llSzedPqCbtgCgAAAKDUSq0w58W+d2aEvRKPPvy6ZgUOWfDKLZf1/Ty/+Q3H3vp7w/qsMY/fdn2/p8csyNlwXHzVNifdMHDAlQdU2TgzWD31hct7X/b0xGX5/22Kq37AhfcNvPusNqXpU1iFCoC2X3LN5k2qJzStkbgT1+bM+/DxB58bNXNFXgghrmLt1gf3ufzsDtXjtnnh3Hfvu2HIgoJ6GvZ+/JGT6+6CKQAAyq7lTfyfXgBE3V69e6fd2Xfyd4NemXrdzXsUMGDB0MFj80No0bNn2xBCCGu+vLnbIf2+zYlNTTv+/B6d9mhQLX7FwrnTxw55afikQVd1GT/jnQkDu6X89/KsYWcfduZrC/KTGqefetIxB7auuPjb4U8NfHvso2cfvqTSpEHdqxXTc25boQKgVteNXXbF+gK78tetzJo1Y+r4tx+5+9FPfs5Zu75Ozydev+GAyjs6xarJL9x05+CfVseWr9WyTZOKS36Y9NP3b9111Zzz7+h7dMOtBzT5mVmLQohLrde4WtImXbWrbLBrqxBTAAAAAKVZi96n79v32q++f3nQlJvvaL1Z9/yhQ8blh5DWs2daCCGEiXf1uvvbnITWV743uv/BVTYYeHu/T6/tcvj9k58465oTZz15eHIIIYT8iQ9f/9qC/IQW570++skja4QQQjjjgsvOurvrfjd8+coF1515zFPddmYrTFEoVAAUm1gpZYsPkpJatW6L9l1POPucew7veP2YUTce07vepOFn1N3S+IKsmzHo4SE/rY6r/7e+95+3V/kQQv6ST++96sGx3z3z6Nvt7zu+5tYuXpy5cF0Iux93S//utYpoCgAAAKBUa3Ja747XfzVu+qBB395x596bdGYOHTwmP4R9TuvZIoQQwvzRn/6UH8oded2dG6U/IYSYygfd8/C5Lxz8WOZLL4588vBjQwghfPfqqz+EsFvPBwb8kf6EEEJI3vPafmc/fMjjmaNGTQrd2hfhs+2Iov8KWHLada/cd1C5EJa+e9vDX+3QpTkT3hmZmR9q/u2KPnuV/70ppupBV17QOTnkTh/+wU9bvzorMyuE2Jq1qhfdFAAAAEDpVu/U09PjQ/hp0KDNQonM14d8vj6Edj1Pbf57w6xZs0II8cnJm54bHEIIsR163njppZee07HGH4cD5c+dOy+E0Hb//TcZHtu6dcsQwszp03N35ZMUSrF8Br7ukd32DCGEmdOn52xr7IYmj/9qTQhVO+zfbMMyE9t1bJsQQtZX4+du7eJVCzOzQ6hWq+ZW3+Iq1BQAAABAaVfj5N6Hlwth5iuDxudv1LFw6ODP14eYjqed0viPluatWsWFsGboTRe+PHXlZjeq0PnSRx555JGL/sx71rU847Gnnnrq5iM2PeknPyNjZgihRr16W/xuWLErlgAo1KlbNyaEUKdRo4IitC1ZPHv2qhDi09JabtyekJbWLITw89w5eVu5OjMzM4RQq1atkJ+TvWhORsb8ZWvzNx1UuCkAAACAUq9q99OPSg5h7quDxm54kPGi14eMXh9iDux5Sv0/m2qc2feKlgkhd/rTvdrUadzp5MvveurNsRlLt7CPp1zzbn369OlzSOONm9fPefr2Z+eGUKdHj45F8DQ7qVi+Arb+24nf54cQWrRosSOXLcpaFEKolJK6aUq1W0pKCCEvK2tJCDUKuDCEEPIysxaHUC4vY3Df84d/k5UTQggxialNOp1yYZ+jmleK2fkpcnJyFi9evPmMSUlJcXEOjSb6rHMiwDImAixjIsAyJgIs4zJjt+N6H1vpzVcXvPrypw926vpHBJD1+uDR60Nc+mkbfiY8qdMD4z5veuPN/3p55PTZYwc/PHbwwyHEVqi7V6euXY84sXfvY9rW2PqmnqVfP3beKVeOWB5qd3/ghvTScgJ0KJYAaPlXd141cHYIYbdmzbYU1xRozdo1IYSKlSpu2hFXqVL5EFb/3r8FizMXrg9h/ZSRbyRVbZS2X4OqMb/O+/GHmRkfP3HNxMn/eOjagyrv7BRTpkw577zzNp/xo48+SklJ2bwdIqZy5R3+nB+UNpYxEWAZEwGWMRFgGZcdycf0PjHl1f8sHDxo1L+6HhwfQghZw4Z8tj7EH9azxyaff0ptf+Gj7134f0umf/npqN+Nmzx/4ogXJ454sf91jY67d/B/rmxf0H/95y/99rlbLr3u8c8X5cXXO/rhd1/sWacYnmy7FSoAWvhev37vLtzKgLzVi376+tOPv89aF0Ko36vXgTt0+/Xr14cQEspt/tpYuXLlQgjr1q3b8sWZmVkhhArNjrvq+rPaV/s9lM3NGv/s3fe9M/PzJweO3uv6LqmFnAIAAAAoE5K6nX5S9f88tXjooI8ePfiIciH88vrgUetDuW49u1ct8IKEqi0PPLHlgSdeeHMIOb9M/vSd118Y8NCLE2a/+Y/Dz6w+/Y3eG+9wWTNj8I1nXfKvcYvXx6TueVa/p//vovapxfFYO6BQAdCv4wcNGDB5u4YmNjn3kVu7JO3Q7VNTU0P4ZdXqVZv1rFq18s/+LdnrwueGnh9i48vFxfy3rVzNDudefsKky1+dM27kuJVdjqy4U1OkpqYeeuihm8+4fv363377bXseDMo065wIsIyJAMuYCLCMiYBiW8aJiaXoTaKyKr5r71PqPjVg/tBBHzx6xDEJi4cN+TQvJB552okb5D+5i6Z/P29VbNVmbRvttuG1CdXSDjsr7bAzzz22V/uTBi18s/9zM3v/c/c/e1d/P/Cck//x6g9r4mp0uviO/7vt3H2rFc+ByzumUAFQQrXGLVtuY4tMbIXaLffueNyl156x925bH7mZKpWrhPDLyuzNzt1em52dF0JMlSpbCYBi4sqVK+BlzNjG+7ar9uqcX2bOmhVCm52aonHjxvfcc8/mt16yZEl2dvY2ngnKPuucCLCMiQDLmAiwjImAYlvGAqBdIbbL6ac1GHD/3GEvvz/wmI7DBn+aF5KP7Xnchi9z5Y28Zt/e74Sjnl85/PTym98hpk6P84+tOuiJJRkZGSH8HgCt++nfJx920fBF5Vv2fOyFRy9sXzlm8+tKh0IFQM0ueWvaJbuqks2lVk6NCWHVwoXZYc9KG3ZkZWWFEFKqVN6Z47ZSU1JD+CVv3br8EGKKZgoAAACglInp0LtX8/vvnvHWoOHzMod8khfKH3vacRudCZzUsmXD8M7sz4cMzTz99FoF3GLRtGm/hhAaNmz4R8MPD5560fBFye3+OfLDew8obS99baw07kr6U3zz5o1DyJ8yYcLajdoXT5gwL4TkPfdstsVLV094vl+/fvcOmZKzaU/+zz8vCCE0atw4pnBTAAAAAGXJnqf33jOEVW8N6POfT9aFSsf2PLrCxgPaXXxF53Jh+VtXnHjtGxlrN7k658cn+9w2Oj+U73Ruz98/cp437rHHvs4LLa9+pl8pT39CUXwFbN3KrDlzl5ar1ahelaRCxkt1O3Vu9NLM2RNHfpx10FE1/9hFlTNzxCcZIVRO79Zhy0cKla8WO++LL+Z/k93qgLuOrfO/MvIXvTPks9Uhbvd2e6UWcgoAAACgTGnVq/c+t/zzm1Ejx4aQenzPI5M3HdD44qcfGdnlwuHj7jthz8Gdux3YpsnujWqXz1m6aN7kj94YPnFRbqjd49nXLvvj/J9Jw4fPDSE5edbgvjcPLmC6pHZn3Hh8adlZsosCoPW/fvPyvXcNfP/bH3+as2hVXgghxCRVqd+k2V6HnnvjTWfvV23n3qSqe1Tvrm/f+fGkp+96vMKlPfZrlPzLD6Nf+L/X5uTHNT7qyLT/3TPjrXtfm5wXanW96JyOv3+Er+Hfeh/4wX2fTXn25juyT+/RuWXN5NwlP08bM/ilt6esjW3Q49ITGuzgFAAAAEAZt/tpp3e67pvP14dQuftp3Tb/JHgo1/yCoV/Uu+/qq+8fNn3MsFljNuiKr9Hh9MtvvuXKY+r8sX0kb+bMOSGENRNfvHNigbOlnts5UgHQL2MevPSiO16bvDx/o+b8tb/OnfLl3Clfvv3sv065/d8DL99/J7ZDle9w4Y29s+54acr7D179fkxMTH5+fgjxtTpfev1JjTYYtizjqy++yAlNW5zz36aUTv/of2O1ex8aNuHV/hNe/W9zbOXWJ1x8+WlN43d0CgAAAKCsq9vrrgHLRy0KMS26H1pA/hNCCImNjr55yNHXLp782aivZixYvHRtUo36DRs2apLWNq32RluG1tY/4qa+LbYyWdI+TXdh6YVU2AAoZ+LdR3a74etVIYQQV23vo47pvEfjhg3r7JazaM7MmdPGDX/nq8zcFZNfveKE/Prfv3pi9R2fIKn5yXcNaDt6xMffZCxcnptcpd4eHQ87tEP9jXdpVarfuk2bdaFu9Q3/8OKqdzj7nof3Gz3q8+8zFi7LSa7RoFHjFu0O3H/3ijE7MQUAAABQ5lU/6KJbD9qOcQnV0w45Ke2QrQ2psO+Zt+67i8oqeoUMgGYPuKTv16tCiKlzTL9nHr7siMabfCZtzZyRAy4759q3fs587byzj9z/nbPq7MQksSnN/p+9+wzMokrbAHxSCCHSewfpCoogoChCQEX97IBiECy7q2vvrmvvZdcV69p7Cwro2sAGKFVRQAEBASlSpIj0EAhJvh8o0ksSeJPhun7JzDPveQZOIrk5cyb1jIapO6hofMad956xrROJFQ/s1O3ATgUwBAAAAEBRlb9tmqe8/uKodSEkt7r9vb7/3Cr9CSGUqHPs9W/9747WySH89tHDr0zL12gAAAAA5EG+AqAVI0f+EEJIOOaq61pt/3VZyYdef3XnxBDC+OHDV+ZnOAAAAADyIF8B0KJFi0IIocmhh+63w7oSrVodGEIICxcuzM9wAAAAAORBvgKg5OTkEEJYsGDBTgp/r0hJ2fohMQAAAAD2rHwFQFUbNNgvhLDki8+/W7+DsuwJnw9ZFEIo1aBBlfwMBwAAAEAe5CsASux06omlQgg//jvt6i+Wb6doxbBru98/OYRQ8oSTUxPyMxwAAAAAeZC/t4ClnP7Qf0+tEELWlCeOb9r+4sc+nrRgZdbv57JWLpz08eOXpDY99tHJWSEktLjh1lM9AQYAAACw1yXm8/qavV58cXDL01+evXbesKevPOHpK0N8iQrVq5RYs3D+kjU5f1TF1zj9uf43Nstf2gQAAABAXuQ/kyl/yovjx791y0kNfl/ek7NmydxZczemPyn1T7y5z/eT+p+/v8e/AAAAAGIhvyuAQgghrnTTM+/+4PTLvhs87LtpP02fPv2neav2q1G/QYMGDRo2b9epRdViBTAIAAAAAHlTEAHQBsWqHHJct0OOK7DPAwAAAAqPhISE8TddGsMG4uNtLZN3BRcAhRBycnI2/dNYsWBuXKWapTz6BQAAAEVeQkJCQoKf8YuqggjP1i/66sXruxxxQNVK5w/c9PiwGxuWK79/m5OufnnCqgIYBgAAAIC8yPcKoMwfHj/96Cs/XpgbQkhuteXZ7BWzvvnokfM///DDx95Lv/BAmwEBAABA0ZSdnZ2dnR3DBuLj4xMTC/RJpn1JPn/jskbfccZVHy/MDaFEnXZdzjr9gE1Ptrn0mXtLpr/84sfTMqb3v+z83u2/uqFJXP7GAwAAAGIiOzu7UZ/eMWxgUrcrBEB5lr9HwFb0veeRyTkhVP6/x0b/MOz1B7rU2/RspVbn3PT4wO/HPnNq1RCyRt99Q5+l+RoNAAAAgDzIVwCU9fmHn64NIfGo25+9vNl+2ykq0fjCZ+8+OimE1SNGfJ+f0QAAAADIi3wFQL/MmrU2hFC/ffsaO6yr3K5dwxDCksmTF+dnOAAAAADyIF8BUG5ubgghZGVl7aQwMzMzhBBWr16dn+EAAAAAyIN8BUDV6tYtHkKYMWLEgh3WLRo16qcQQrE6darlZzgAAAAA8iBfAVDSsScdWzyEMOLO85+evn47RTk/v/TX24eGEIp1OuGY4vkZDgAAAIA8yN9bwEp3v/3aA+ND+PXjyzp0vPjRgVNX5W56et284c9dfVz7iz5cHEKJw+9+sGe5fI0GAAAAQB4k5vPyVrf3e2xM6mWfLJo//Omr/u/p60tWqVmnVq1qZXKWzJ01c9b8ZWtzQgghlDvu0T7/OCifgwEAAACQB/lbARRCSDrg0g/HD3/60nbVioUQslYtnPnDt0M/HzR83I9zl63NCSGudNPu93445t0L6sQVQLsAAAAA7K6CWJSTWOXIvz8xrNc1n7393qhJ06ZPnz5t1pKEKvUaNWzUqPEhx3bvcmjFhAIYBQAAAIA8KbinslLqHXve1ccW2McBAAAAUDBsywMAAABE07KRzz/62bxQpu0FV3Wuvp2aBYOfeGbYklDj2Kv/dkTpjUczF04cO37qT9NnzFtZvEK16vVapLZvVqHYTob75cvn3pzSoMffO1YrsDsoMAIgAAAAIJrK7jf79TvumR6aFz+x8z8bbrNkfp/brrhjRG6jm065fcOBnIXDn7rzxvteGD5/3aZ1iRUOOuOmp5+4+ojy293jeMZLV1948+Kr2hXKACjfm0ADAAAAFE7Ne/ZsFkL4Pr3PpG0XzO/fd2RuCI3T0lqEEEJY8/Wtxx992VPDF6Q0O+2ybaUDbwAAIABJREFUOx588sWXnn3kvlsuOqlJid8mpF/bvs3FHy/fzlAL37nliXF75CYKhBVAAAAAQFQ17tmr9R03fDP+zfQfbr276Van5/XvNyo3hGZpac1CCCGMu/fs+79bl9T06oFDe3cqv0nhXfd9eUP7zg9OfOa867vMfLZziT+Or182c/y4778b8eHLT78+7Jc9fjt5JwACYmN5/e2umwQAACgo9Xv0bHvjN6OmpKd/d/c9h2xxckH/vsNzQ2jZI61xCCGEeUO//Ck3FDvhn/dslv6EEOLKdXjgsb+91unJBW+8/tmznU/54/gP/+p86APT9/RNFAABEAAAABBdNc/qlXrtqME/pad/c88hrTc7teCdfiNyQjg07axGGw7MnDkzhJBYokTSNj4ovk3azZfF/xgOrLwuhD8Kapxy+xM1NzwVNn/A3fcNWLjH7iOfBEAAAABAhFU+s2fnKwcPmNEnffQDrdts8ijCL/37jsgJcW17dN//9yONDjggIcxb0/+Wi9484JEeB5bc/IP2a3fZ4+22+PCKbXte2nbDf/7w6xMCIAAAgAKXWW9trFsAioAKXXv936UD3vv5rfSR/2lz5MbXYS16p9/QnBDXPq17rT8OVT73jqseGfrQlCkvnH3Q2zcffvwp/9e5U8fU9q0blNvZG+ALPW8BAwAAACKt9Kk9TykVwvy33vwyZ+PBhe/0HZoTEjr0OLPGn5XJR/5n1IinLjm+Sdm4lbNG9n3slgtOO7JhxXI1Wx7X69re745blBWD7guGAAgAAACIthIn9exSJoRf+qZ/sf73Qwvf7TcsJyR2SutWZfPasq0u+u/AyQsXTh7a/6m7Lu/e6aAqxTPmjfv09d7XdmlZs9FpD3+7vffAF24CIAAAACDiko/vdUalEBb3Tx+0YRHPr+/0/SInFOuc1rXCNi9IqtDkqC4X3fpYn0HjFyxbNOHTl+7sdWi5uKxZ713T+dzXF+3N1guIAAgAAACIusSOPbvXCOG3/umfrAshLH6335fZofhxPbpskv9kLZoyZsyYcbNWbHFtUsVmx55326vfTHw7rVoIS9/r/fKMvdl6wRAAAQAAAJEX375Xj9ohLH33zY8zw+J3+36ZHUr8X9qpZTYpyf7s+tatWh166XsZ2/yEuOrdLjylQghh+vTpe6XlAiUAAgAAAKIvrk3PsxuFsOL99I/mvNtvSHZIOaXHqZu96D25SZM6IeSO6Nd/wbY/YtHkyb+FEOrUqbMX+i1gAiAAAABgX3Bwr54Hh7D6/Sf++sqQ9aHUKWkn7rd5waGXXNWuWFj+/lVdbvjf9Mwtrl437dm/3jk0N6Qc+be0xnut5wKTGOsGAAAAAPaGA87u2fK2f4z94rORIZQ9Le2EElsW7H/JC49/1v6ij0b9+/SD+7Y7/qiD6terWy1l3dJFcyYO+t9H4xZlhWrdXnr7inqxaD6fBEAAAADAvqFej15H/nPsiJwQynXtcXzS1gXFGv29/1c1/33ddQ++O2X4uzOHb3IqsXKbXlfeetvVJ1WP22v9FiABEAAAALCPqHH2vU8s/2JRiGvc9Zht5D8hhFC87om39jvxhsUTh33xzdT5i5dmJleuVadO3frNWjSrttWSoU1VTr3sjjt+LX14zT3ReL4JgAAAAIB9RaUOF9/eYRfqkio1O/qMZkfv3kdfuksfHRs2gQYAAACIOAEQAAAAQMQJgAAAAAAiTgAEAAAAEHECIAAAAICIEwABAAAARJwACAAAACDiBEAAAAAAEScAAgAAAIg4ARAAAABAxAmAAAAAACIuMdYNAAAAAEVAfHz8j92vjm0DMRy9qBMAAQAAADuXmJiYmChGKKqEZwAAAAARJ7oDAAAAdi47OzsnJyeGDcTFxVmClGd+4wAAAICdy87OPv2r62LYQN9WDwiA8swjYAAAAAARJwACAAAAiDgBEAAAAEDECYAAAAAAIk4ABAAAABBxAiAAAACAiBMAAQAAAEScAAgAAAAg4gRAAAAAABEnAAIAAACIOAEQAAAAQMQlxroBAAAAgD1i9axvvp2dEVLqtG5dN2U7NWt+HjN65qoNNbm7Wb9ZTU7mb/Nmzpi3sniFatVrVK+QkrCjztYt/XnGrF9WJFSp36h2heS9sDzHCiAAAAAgmpKmPtclNTX1yAv7LNleyap3rmyXmpra7ZkpSbtfH0IIIXfZhLdv7dK8YkpKhdoHtm572MGNalcsV73lqVc8+/VvuVt/wOrJb1xzfKPKleoc0PLww5rvX3G/UvWOu6nflNX5vtkdEwABAAAA0VTs6J7dq4aQNTi938JtV6z6sO/HmSFUOqPHMYm7Xx9CWNC/V7Pm3e95d/zKsk1TTzzznHN7nNa5XZPSv417//G/t2ve9aVpOZtevm7iv447rOfDn0xblVK3zUm9zj/r+BZV1s/89P4zDul034T1BXrvWxAAAQAAABGVcFSvHnVCyB6S3nebic6qD/t9khlC1TPSUhPzUj/nubPPe2NebpkOtw+a+fOEIR++9crLb7z7ybDJc376/M6jy62f++4lPR6a/OcyoPnPX3HLiJWhZOs7hs2d+fUHr76YPnDstHHPdqke1o6+4+wHJuRsa8yCYQ+gAlOyZMlYtwB7Q6lSpWLdAuSXaUwEmMZEgGlMBJjGRUFc255n1+99309D09+ee9nlNbc4u/qDvgMzQ6h1Vo928XmpX/75/4asCqHdnX3u6FR108Lk2kff1u/xcbV7/u/b3k8Ovf7xDiGEEGa+8sKQ9SGxc+8Pb29b+o/S/Q684MUHB3569rsT+r8/7ZaDGhfwb8AfrAAqMHFxcfF7S6zvlX2aaUwEmMZEgDlMBJjGRECBTGNTfY9r0fPsA0PIHfnmW7O2PLV6QL+BGSHUPivtiLg81U8cPz43hFING1bdsjSEULZzt9ObNWtWMWfZut+PTJ06NYTQ8vjjK29eWaZDh0NCCBPHjcvK2z3uAiuACszKlStzc7exuxNEzPLly2PdAuSXaUwEmMZEgGlMBOy1aVyxYsW9M1BEHdCz16F33Tjmq/Q+M6/95/6bnFj9Ud+Ba0Kod1Zam7i81VetWjWEuSs/fOaln44+v37xLQaudPYrE87e5Ndr9zvwtJ49Q8vDq2/Z4oa5lFKmTLH83eoOyBEBAACAKGvYo+dhcSGMSe8zbdPDaz7qN2BNCE169GiR1/r6vS7pXDKExe//pVnjjufd/OS7I6b/tv1FPMXbXf/aa6+9dnXbLV4Qnzny6VcnhJCSmtomz/e4UwIgAAAAINJqp/XqkBDC+PT0H/48mDGg74DVIRyQltY87/XVz397yGPdm5aNz5z9xSv3XdqlXcOKZWu26Nzrmvtf+GDswnVbfvA2LB/3aLczHv8pFDvwqtvSKuTjJndCAAQAAABEW5XuPY8tFsKEN9Mn/nEoY2C/AatDaN4j7cB81ZdpdXmfiQvmjP7fU3dd3r3TQVWS18z77rPXH77pb6ccWqvGIT0f+XrZdrta/WP/W447+PCrPpqfUKvbKwPuPnRP7tMjAAIAAAAirmK3Xscnh/Bjevq4DQcyB/T9MCOEVmlnNSyA+uLVW5960a2P9Rk0fsGyRZOH9nv8pnM71iuZ9ev3b1zdvv3NX2+9EmjtzPduPKbJQd3u/fTnhEZnPjzyu7fT6uzZiEYABAAAAERdmdN6nlwyhBnp6aNDCCHz434frQpxrdPOalAw9RslVWxyVNfL7n158JQfB17VonhYN+HBm19dvGnF8jFPn9fy4NMeGDQv5aC0Bz+bMuGtq9qUj9ve5xUUARAAAAAQeSmn9OpSOoSZfdK/zg1rBvb9aFWIP6JH9zr5qF/x6imlSpUqe/a767f1AcWqH//Qvd1LhZA1duyEjUczRt95XIeLX5mU3fDMh4dOG/fmdcfUTiq4m9wBARAAAAAQfcnH9+xWMYQ5b705POPjfh+sCvHt086skZ/60rWqJa1atXz4F6PWbvsjMlesWBtCKFWq1O8HlvT/64l3fL260tEPjxj31lXtKiVs+7o9QQAEAAAA7AOKHd2re7UQfnn7pZv6fLAyJKT2OKN6/uqP7Nmzbgg/P3XJVQPmbL3PT8bof/f+ZF0ItU47teWGI7Ne+Nfbv4ZKvZ7vd1WL/QrqtnbRntxgGgAAAKCwiO/Qs0et/z405+XH+uaGYselda2cz/qko2554vwPT3tp4tMnNh2WduWFxx5Uv17dainrli6aM3Hw28++8L9Ja5Ka/uPNe47YsNJnep83v8kJJQ5pUmLMoEHbGC+x+iEdDthTb4IXAAEAAAD7hLjDe53d4KEHpufmhqTj0rqWz399pROfG/JuxfMvfmTwD+n3XJm++cmU/Y+9rvcz97f74wGwqVOnhRDWfHZz58+2OVzZv3289LnjdvOedpUACAAAANhHND/n2rO+emtBiGvx99PLFUh9Qu2T/j3o6MtHDXxvwKBvps5fvDQzuXKtOnXq1m9x3FmnH1pxk11+VmSXb5OauoPBSjbeaSSVdwIgAAAAYF9xwEXpQy4q8PoStdp2uaxtlx0XlT75P0NO3o2hC5ZNoAEAAAAiTgAEAAAAEHECIAAAAICIEwABAAAARJwACAAAACDiBEAAAAAAEScAAgAAAIg4ARAAAABAxAmAAAAAACJOAAQAAAAQcQIgAAAAgIhLjHUDAAAAQBEQHx/fv82/Y9tADEcv6gRAAAAAwM4lJiYmJooRiip/cgCQR5n11sa6BQAA2CUCIAAAAGDncnJycnJyYthAXFxcQkJCDBso0gRAAAAAwM6tX7/+zdkdY9jAmTU+S0lJiWEDRZr9kwAAAAAiTgAEAAAAEHECIAAAAICIEwABAAAARJxNoIuk5fXjYt0CAAAAUGRYAQQAAAAQcQIgAAAAgIgTAAEAAABEnAAIAAAAIOIEQAAAAAARJwACAAAAiDivgQcAAACiafWsb76dnRFS6rRuXTdlOzVrfh4zeuaqDTW5u1m/WU1O5m/zZs6Yt7J4hWrVa1SvkJKw0/bWzP9h0q+lmxxca7/dvK88sAIIAAAAiKakqc91SU1NPfLCPku2V7LqnSvbpaamdntmStLu14cQQshdNuHtW7s0r5iSUqH2ga3bHnZwo9oVy1VveeoVz379W+6Oulv65l9btjqx98Q83tzuEQABAAAA0VTs6J7dq4aQNTi938JtV6z6sO/HmSFUOqPHMYm7Xx9CWNC/V7Pm3e95d/zKsk1TTzzznHN7nNa5XZPSv417//G/t2ve9aVpOdvpLWvik09+vi7/97iLBEAAAABARCUc1atHnRCyh6T33Wais+rDfp9khlD1jLTUxLzUz3nu7PPemJdbpsPtg2b+PGHIh2+98vIb734ybPKcnz6/8+hy6+e+e0mPhyZvuQxo3dIZw1+/7dST7xi7vkBvdocEQAAAAEBUxbXteXb9ELKHpr89d+uzqz/oOzAzhFpn9WgXn5f65Z//b8iqENrd2eeOTtWTNilMrn30bf0eP61UyPy295NDNzkx5d9HlNmvfP2jet09cNZejH8EQAAAAECUteh59oEh5I58861ZW55aPaDfwIwQap+VdkRcnuonjh+fG0Kphg2rbmPgsp27nd6sWbOKOcs2edArucahnU/r1q1bt27djj2wVL5vbtcJgAAAAIAIO6Bnr0NDCF+l95m5+YnVH/UduCaEemeltYnLW33VqlVDCCs/fOaln9ZuPXCls1+ZMGHChP+eusnaoLpnP973dw+fWSP/N7fLBEAAAABAlDXs0fOwuBDGpPeZtunhNR/1G7AmhCY9erTIa339Xpd0LhnC4vf/0qxxx/NufvLdEdN/y9qTt5J3AiAAAAAg0mqn9eqQEML49PQf/jyYMaDvgNUhHJCW1jzv9dXPf3vIY92blo3PnP3FK/dd2qVdw4pla7bo3Oua+1/4YOzCvfeOr50TAAEAAADRVqV7z2OLhTDhzfSJfxzKGNhvwOoQmvdIOzBf9WVaXd5n4oI5o//31F2Xd+90UJXkNfO+++z1h2/62ymH1qpxSM9Hvl62B+9rNwiAAAAAgIir2K3X8ckh/JiePm7DgcwBfT/MCKFV2lkNC6C+ePXWp15062N9Bo1fsGzR5KH9Hr/p3I71Smb9+v0bV7dvf/PXhWElkAAIAAAAiLoyp/U8uWQIM9LTR4cQQubH/T5aFeJap53VoGDqN0qq2OSorpfd+/LgKT8OvKpF8bBuwoM3v7q4QO8lTwRAAAAAQOSlnNKrS+kQZvZJ/zo3rBnY96NVIf6IHt3r5KN+xaunlCpVquzZ767f1gcUq378Q/d2LxVC1tixEwr8dnabAAgAAACIvuTje3arGMKct94cnvFxvw9Whfj2aTt6EfvO60vXqpa0atXy4V+M2sY74EMIIXPFirUhhFKlShXgfeSRAAgAAADYBxQ7ulf3aiH88vZLN/X5YGVISO1xRvX81R/Zs2fdEH5+6pKrBszZep+fjNH/7v3JuhBqnXZqy4K8j7wRAAEAAAD7gvgOPXvUCmHBy4/1XRmKHZPWtXI+65OOuuWJ8+slZk18+sSmLXvc+thLb3/05eix3wwf9FH6o9ee3rrznaPXJDX9x5v3HJGwx+5plyXGugEAAACAvSHu8F5nN3jogem5uSHpuLSu5fNfX+nE54a8W/H8ix8Z/EP6PVemb34yZf9jr+v9zP3tCsEDYAIgAAAAYJ/R/Jxrz/rqrQUhrsXfTy9XIPUJtU/696CjLx818L0Bg76ZOn/x0szkyrXq1Klbv8VxZ51+aMUdrP3Zr26b1NSqlRqUztut7CYBEAAAALCvOOCi9CEXFXh9iVptu1zWtsvutVL33FeGnLt7l+SDPYAAAAAAIk4ABAAAABBxAiAAAACAiBMAAQAAAEScAAgAAAAg4gRAAAAAABEnAAIAAACIOAEQAAAAQMQJgAAAAAAiTgAEAAAAEHECIAAAAICIS4x1AwAAAHnUtO78WLcA+5C4uLgza3wWwwYSEhJiOHpRJwACAAAAdq5YsWLFihWLdRfkkUfAAAAAACLOCiAAgH1UZr21sW4BgKIkJycnNzc3tj14CizPBEAAAADAzq1fvz7xt2YxbCCz9HcpKSkxbKBI8wgYAAAAQMQJgAAAAAAirkg8ArZmzteffjZq8twV8ZXrH9DkkMOObFp5V7cdz1z4/Ygvvpowa9GytUnlq9es3aTtsUfW2y9u05IlX/6396fbfHlklWOvviK1Yr7bBwAAAIipQh8ArV8w7Ol7Hv3053Ubfvnt8AFvvTmg2z9v7tW8TNyOrwxZsz958J5nv1qYtcmx9/v2b3zy5Tf8tc2fuc7cSaMmTFixrQ9Y0dzGiAAAAEDRV8gDoLXfPXvTg5/+Glfx0LRzTj2sfsklk4b0femDKf3uuKP4I72719lRBLTuhxfvfvKrRblJtTv0OOOYQw+oFvfr1JHvvNp39I/vPfRw9cfuOaHKhqvXLFiwIoRyR114eceqW3xEiRoV9tidAQAAAOwthTsAWjDg1U9+DYn10m658ax6SSGEerUaNKm87urbP/mp/xvDT77pqO1v/r1iaP9PF+WGyh3/ec9VrcrGhRBC5cq1Dzyw0l2XPfrthFf6jDn+ylZxIYTwy4JfQgg1D+7QqlWpvXJTAAAAAHtXod4Eev7wodNzQ0Lzk06pl7TxYKkWpx1dJ4TMb4eOztj+pbk/fP99Vgj1j+/+e/rzu/KdTj4yJYSMqVPnbjiQs3DB4hBSqlaV/gAAAAARVZgDoLWTJ80IIRzY6tDNF/rUaN26WgjrJ0+etv1rV/z6a1YIiXVqV9viRFz58uVCCEuXLt3w68W/LMgOoWrVKgXZOQAAAEAhUpgfAZs3Z25uCCk1apbb4kSN6jVC+GXF3LkrQ/PtLNwp2fHaZ1uvj08pv+U2QcumTF4QQqhRo8aGXy9YuCCE+KoVE38clP7lxNkLViRUqr1/3aZtO7aqkVzA9wMAAAAQE4U5AFq5ckUIoVTJklueKFG6VEII2StWrghhOwFQQsmKVbe6LuQuGfFMn++yQ1Kr4ztu2N955YJfVoeQ8N2zl4xcnfl71TfDQv/0/q3Srr6yW9MyW3/0zJkzn3nmma2P33DDDSkp29+UCKKiVCkPTFLkmcZEgGlMBJjGRIBpTBFSmAOgzMy1IYSSWwdAYb+SJUNYnpmZufVF27V+8dh+jz/+1ndLQplWF1zY8fdkZ+GCBSGE7DXxjU+++LTDG9euELd0zqQv337zk2nfvnrv45WfvKV92S0/aNmyZZ9//vnWA9x4443FixffjY6gaDLPiQDTmAgwjYkA05gIMI0pQgpzAFQipUQIq9avX7/Vmax1WSGE5OK7+JBW1qKx77zwXL9R89aG4rU6XPSPy46r+sfeR8Xrd+jWLbtUk+NOaVMlIYQQQvXq+zdt3bzSdVe8Nn30s2+Ma3dpi8K8TxIAAACwQyumjxo3b1181YOOalz+j2OZc8Z8PWPVDi+r3LTDARX3eHN7TWEOgMqVKxfCqpWrVm55InvlqowQQrnyW24OtLXc1dM+fvaRl4bMyQxJlVt0+8uFZx1RI2mT87XanX1Ou62uiq95evd2b9/7xYrJU+aHFjU3P9m4cePXXntt66HWr1+/bNmynXYERZ15TgSYxkSAaUwEmMZEwF6bxmXLbvVwCrthwqNdUp9YkHzeh2teOvGPY/Pe/FvqP7/b4WVn9ctN77rHm9trCn0ANGfl8hW5IWy2l/OqlStCCMXLl9vJjjvrZr5/350vjv0tJ6n6Eb3+9pdTW1VO2vEFf0qsU6dGCDPmzZ2XG2puvpF0SkrKAQccsPUlS5Ys2dZqJYga85wIMI2JANOYCDCNiQDTuOircujJbWslbPtcq+p7t5c9rDAHQCWrVEkJIWPypOmhTcNNjq+fNHl6CKFatS1f8b6Z3EWD/3PH82OXJtc74cp//PXI6tvKfrKWzZ27NCuhVLXaFbd8miwjIyOEUKVKlS1fIwYAAABEQ+ur+7579r6xlVOh3t+macuWSSEs+Gb0nE2P5kz8ZuyaENegU2qtHVy7ZuTLT3+1NL7mSbffd/G2058QQu7kN66/8srLbv/fnC1P/PLd9wtDKLZ/vR2NAQAAAFAUFOYVQKH4YSceU3H4gDnv/feddvd2qZMQQggZE154bsjKkNjy+E5VNhZmLJ61cFVuSCpfq0aZDXe0dPCAUZmh+FE9z226g+fEklp0bFdmxOA57zzyavM7ex1QcsNqn+wl37/Ru8/U3ITaXbsdvp2FYEB+ZdZbG+sWAAAA9hWFOgAKiU3Pvuy4MXd+MumVm64Yf1jreiUWTx79zQ8Ls4s3Ouec1NJ/1k167bq7vlgXGpz7bO+uVUMIIXfalCnZIRT7sd/t/3x/W59cocOV159QLSS3Of/6rvP/1X9Kv3/+bVSz5o2qpmQtmTN10tRFmSGlca8rz6xfuH9/AAAAAHZBYQ84SrW86P7byz357Ptjxn4+Z2wIIaFM/Y7nXnrhifV2uJ/zbwsXZIUQMhdNn7RomwXVDszc8B9lDj73/kcav/rY8x+PnzBq3oQQQlxSmTptz/zbhac3r2D5DwAAAETXijk//PDDNvYAKlaxfqMqW+4WXLQV9gAohISKLXvc9nS35b/MX7g8K7l8tRqVS26VyzQ+8877OueGElXL/35gv8MuuG//dTv41KRKf+4gnVDp8PPvPrznyoXzFy7LSq5cs3q55EK9NRIAAABQEIbeeGizG7dxvO4/v515/6F7vZ09qfAHQBsklalWt8x23/pVqmbTZjU3PZBcuVGzyrs3QrFSVeqUqrLzOgAAACAaKhzQ/qAq21gEUrVeqb3fzJ5VVAIgAAAAgILV9uZPP/AaeAAAAACiQAAEAAAAEHECIAAAAICIEwABAAAARJwACAAAACDiBEAAAAAAEec18AAAAECElWl4RGrqb0lNKmxyrETtVqmpZcNBVfaZhTECIAAAACDCml3Rf8gVWxyrnvbckLSYdBMr+0zSBQAAALCvEgABAAAARJwACAAAACDiBEAAAAAAEScAAgAAAIg4ARAAAABAxAmAAAAAACJOAAQAAAAQcQIgAAAAgIgTAAEAAABEnAAIAAAAIOIEQAAAAAARlxjrBgAAAIAiICkpKVSdGsMGUmI4dtFnBRAAAABAxAmAAAAAACJOAAQAAAAQcQIgAAAAgIgTAAEAAABEnAAIAAAAIOIEQAAAAAARJwACAAAAiDgBEAAAAEDECYAAAAAAIi4x1g0AQFHVtO78WLcAAAC7xAogAAAAgIgTAAEAAABEnAAIAAAAIOIEQAAAAAARJwACAAAAiDgBEAAAAEDECYAAAAAAIk4ABAAAABBxAiAAAACAiBMAAQAAAEScAAgAAAAg4gRAAAAAABEnAAIAAACIOAEQAAAAQMQJgAAAAAAiTgAEAAAAEHGJsW6AvMistzbWLQAAAABFhhVAAAAAABEnAAIAAACIOAEQAAAAQMQJgAAAAAAiTgAEAAAAEHECIAAAAICIEwABAAAARJwACAAAACDiEmPdAAAAQB6dUW1MrFsAKBqsAAIAAACIOAEQAAAAQMQJgAAAAAAiTgAEAAAAEHECIAAAAICIEwABAAAARJwACAAAACDiBEAAAAAAEScAAgAAAIg4ARAAAABAxAmAAAAAACJOAAQAAAAQcQIgAAAAgIgTAAEAAABEnAAIAAAAIOIEQAAAAAARlxjrBqIjISEh1i3A3pCY6PsGRZ5pTASYxkSAaUwEmMYUISZrgSlTpkxcXFysu4A9rmzZsrFuAfLLNCYCTGMioGCm8eIC+AzIM9+NKUIEQAVm+fLlsW4B9oZly5bFugXIL9OYCCiQady07vz8fwjkme/GRMBem8aSJvJPAFRgsrOzc3NzY90F7HHr16+PdQuQX6YxEWAaEwGmMRFgGlOE2AQaAAAAIOIEQAAAAAARJwACAAC9DafeAAAgAElEQVQAiDgBEAAAAEDECYAAAAAAIk4ABAAAABBxAiAAAACAiEuMdQPAPqpp3fmxbgEAAGBfYQUQAAAAQMQJgAAAAAAiTgAEAAAAEHECIAAAAICIEwABAAAARJwACAAAACDiBEAAAAAAEScAAgAAAIg4ARAAAABAxAmAAAAAACJOAAQAAAAQcQIgAAAAgIgTAAEAAABEnAAIAAAAIOIEQAAAAAARJwACAAAAiLjEWDcAAEXVGdXGxLoFAADYJVYAAQAAAEScAAgAAAAg4gRAAAAAABEnAAIAAACIOAEQAAAAQMQJgAAAAAAiTgAEAAAAEHECIAAAAICIEwABAAAARJwACAAAACDiBEAAAAAAEScAAgAAAIg4ARAAAABAxAmAAAAAACJOAAQAAAAQcQIgAAAAgIgTAAEAAABEXGKsGwAAIDbOqDYm1i0AAHuJAKhIalp3fqxbAAAAAIoMj4ABAAAARJwVQAAAQFF1TqnFsW6BfdpvsW4Adp0VQAAAAAARJwACAAAAiDiPgAGx4dUzAAAAe40VQAAAAAARJwACAAAAiDgBEAAAAEDECYAAAAAAIk4ABAAAABBxAiAAAACAiBMAAQAAAEScAAgAAAAg4gRAAAAAABEnAAIAAACIOAEQAAAAQMQJgAAAAAAiTgAEAAAAEHECIAAAAICIEwABAAAARJwACAAAACDiBEAAAAAAEScAAgAAAIg4ARAAAABAxAmAAAAAACIuMdYNAEBRdU6pxbFugX3Xb7FuAAAoWqwAAgAAAIg4ARAAAABAxAmAAAAAACLOHkBF0hnVxsS6BQCgyLOPFbFlKyuAvUkABMSGnzqIIT9yAACwrykqj4Blr1o0e9r0OcvX5e6xa/MzBAAAAEDhVQRWAK2b8/lTD738xYwV2SGEhJLVmnb665Xnt6mUUIDX5mcIAAAAgEKusK8AWj3xtRuuf2zQjFXFqzY57MhWDcplLRj//r3X3vHR7OyCujY/QwAAAAAUfoV7BdD6qemP9fspI6HWyXc8eEHzlBBC7pIv/3XtQyO/f/G/H7T692lV8n9tfoYAAAAAKAoK9QqgdWM+/GxBbqhy8lV/bZ6y4VBchQ5X/71diZA15aNPfiqAa/MzBAAAAECRUKhXAE0c/c2aECq0ObzhpjlV8UPbtkgaPnLhN6N/Pqd+7Xxem58hYsjrk4ghr08CAAAocgrzCqDFs2atDiGxWbMmmx9PatasYQhh7s872KRnF6/NzxAAAAAARUNhXgG0aOGiEEKpMmW3TKlKlykTQsheuHBJCJXzdW1ehsjIyJg9e/bWQ1auXDkxcW/9fq7fS+PA1gpsnpvGxI5pTAQUzDQ2h4kp05gI2Hs/A0K+FebJuiZzTQihZKmSW55IKFUqJYSMDefzdW1ehvjxxx8vuOCCrYccNGhQmTJldnhHBSZnwd4ZB7ahbNmyBfI5pjExZBoTAQUyjc1hYss0JgIK6i8VsBcU5gAoJycnhJBULGmrM8WKFQshrF+//bh/F6/NzxCxFF91aqxbgPwyjYkA05iizhwmAkxjgF1UmAOgsmXLhvDr6ozVW51ZvXpV2HHWuovX5mWIsmXLHnPMMVsPmZOTs3bt2u3fDrEXFxeXlJQUQsjJycnKyop1O5AX8fHxGwLq7OzswppRw06YxkSAaUwEbJzG69evz86292lhV7x48Vi3QJFXmAOg8uXKh/DrqpWrtjyRuXJldghx5ctvPwDaxWvzMsT+++//wAMPbD3kkiVLVq5cubObIpYSExM3BEBZWVn+sCiiEhMTN0TTWVlZq1Zt9c0LioJixYpteGjaNKboSkpK2vCT87p161av3vrfEqEIKF68+MZpnJGREet22AkBEPlXmN8CVrZc2bgQVv/yy5Y/qC9cuDCEUKZ8uYT8XpufIQAAAACKhsIcACU2arR/CLk/jBmTudnxxWPGzAmhxMEHN8z3tfkZAgAAAKBoKMwBUKhxZLu6cSFr3GeDF+ZuPLhuxqdDpodQLvX4Nsn5vzY/QwAAAAAUCYU6AAo1/q9nx3Jh7YQX7n3qy6mLMtetnDvho4fueXt2bsL+/3dCsz+fzpr+/r/uu++++14ctXS3r93VIQAAAACKqrjc3NydV8VQ5tS377z7jR+W54YQF7eh28Sq7S6767pOVf8Mr77t3e2uL9aFBuc+27tr1d28dpfLdmbJkiWF/Tdzn7dx99y1a9faBJoiauM0zszMtHsuRdTGTaBNY4qupKSk0qVLhxDWrFljE2iKqOLFi5cqVSqEkJGRYRPowq9ixYqxboEirzC/BSyEEEJyozPvfaLF0E8Hj53+y/KsEuVrHtj22GPa1CqxWVGpWk0POmh9qFEpafev3eUyAAAAgKKp0K8AKjqsACr8rAAiAqwAIgKsACICrAAiAqwAKlqsACL/CvceQAAAAADkmwAIAAAAIOIEQAAAAAARJwACAAAAiDgBEAAAAEDECYAAAAAAIk4ABAAAABBxAiAAAACAiBMAAQAAAEScAAgAAAAg4gRAAAAAABEnAAIAAACIOAEQAAAAQMQJgAAAAAAiTgAEAAAAEHECIAAAAICIEwABAAAARJwACAAAACDiBEAAAAAAEScAAgAAAIg4ARAAAABAxAmAAAAAACJOAAQAAAAQcQIgAAAAgIiLy83NjXUPEbF06dKcnJxYd8GOxMXFJSQkhBByc3Ozs7Nj3Q7kxcZpnJOT43sORVR8fHx8fHwwjSnK/KWCCDCNi5YKFSrEugWKPAEQ+5Bp06alpaWFEI499tj7778/1u1AXowfP/4vf/lLCOGUU0657bbbYt0O5MXo0aMvueSSEMKZZ575j3/8I9btQF4MHTr0mmuuCSGcc845V1xxRazbgbz45JNPbr755hDChRdeeOGFF8a6HWCP8wgYAAAAQMQJgAAAAAAiTgAEAAAAEHECIAAAAICIEwABAAAARJwACAAAACDivAaefUhGRsbEiRNDCOXLl2/QoEGs24G8WLVq1aRJk0IIFStWrFevXqzbgbxYsWLFlClTQgiVK1euW7durNuBvFi6dOm0adNCCFWrVq1du3as24G8WLJkyU8//RRCqFGjRo0aNWLdDrDHCYAAAAAAIs4jYAAAAAARJwACAAAAiDgBEAAAAEDECYAAAAAAIi4x1g1A3n3du9u9X6zbUUWdtKceT9vVVxpMf/Vv1/RbdOAFrz5wctkC6A62KXvp5M/+98m4GfPm/TJ/4fJQunLVqtVqNjr8hFM6NimXEIuGvn+q560DVxx+Tf+bUovFYnz2iFWD7zn3kdFZKam3vXZNq23/weaM++85t3+yolibq167pVPKXu5vS74u2D2Zg+8+85Fvtjwal1SqUrUa1es2P6571yNrJseisa2MffTMOwZlHn79/246yr+6UuDmvX35xa/PDi2vevuOTjuZ8T+/ccllb81tfMFLD55cocD7mPzMuTd8tLT55X3uPjbW/zsBdkwARJEXVyw5JWk7PyCUSIrbu83ADuQu+e6tZ595Z9S8zA2/jk9MDIvnTFs8Z9qE0UM+6NOi29X/OKvpfrHtkYgoeUTHVk+NHpXx1ZffrmvVNmkbFTkTR45aEUJSq/aHx/av674uyLv4pBIlim3MVXKy1qxcNHvKotlTvhs+6Mgr/3NDavlYNgcAhY4AiCKv6qn3PXNOgwL4oAotu567X0aFAwrHvxkSNbm/jX7s5vsHzc8OxWt26N6940H169WtUTZx7bJFs77/4qP+H3w5a9ybd9+T9MCdXepu66d12D3JrVMPTxn1ZcbXQ0evbduu+FbncyaMGLUihOTWHdrEMv/xdUG+1D3z0UfOrLrxl7nrMxZPH/nO8y8MmPrriGee+bL5jR3KxbC7EEIINY7scW7N7Op1/XsUAIWA1ajwh3LNTujatWtqg+0FQGtXrV6/VxsiSn4d8NCDg+ZnF6/T+fpHHrm2W4eWjWuWLR4XEpLLVmvSIe3a/zxwccsyIeOHlx99f36sWyUaklp3PLJkCJnfDB29ZuuzuRNGjloRQok27VvlOfPOWbV6G5+8W3xdUKDiElMqNznmolv/fth+Iaz+6osxmdspzM1YnZGbx0Gy12Wuy971i6u0Oq1r165ta+UjANrNEQFgu6wAYl+xdt7Ifn0HTZw1d+78JeuSy1asXPeQTiefdmzzShu3d5j5xt+vfOuXjXsALeh/1YWvzDjy+vf/cfD3fZ984cOxs6uc/eKDpxX8c9PsAzJGvfLGhLUhvu4Z111yVI1tJO9JtU+47KzhFzwz4adBg2d361nnzzNZv4zq13fIxJ9mzPhlTaka++9f76BO3bseVnnLb967Vpa9aHS/tz77burUmb8Wq9aw8QGHndzjxAK/WQqJxENS25X97ONlY4Z+vfqo1M2focqZOGLkshBS2nY4dOPCmozpn7/9wajJ06fPXLy+dKVajQ/vfNopqQ3L/Dldv+7d7d4vKqc98WTXuC+ef+rNoVOWtbsl/fBhve4atKrxX55/8LTKm46wdsSDPf81bF2Tv77w71MrbqdDXxfsGWXaHNYkfD0md86cuSE0CCGEqc//5br3151w3+t/r/T1a0+9/OmE+U0u73frH/s7rZs7rN87wyZOnz7jlzUlKtWof+jRp556zEEV/9z9aearf7+y34rOdz3ZftLj/31v7C9rcpPL12l4wEHtu519XP0Sq6d9+ta7IyZO/2nuiqQKdZod3ePc05tX3Phk+vdPpN366eqNewB9/eDp9w5LSL2t3zWtNm15w185Gpz7fO+ulfM7IoTcZRPeSx/w7Y9Tf1qQXal+kyYtO6d12eZ34p1O/hBCyM2YOeitfsOnzJk795dlOSnlK1Zr0PqY007p2KisWQdFjwCIfcLCLx68+fFhi7JCQolylSpWSl61ZN7U0XOmjh454fqHbjhqh3sErP3h5Vvuend2dvHSlSqV9gVDnmSOHjxyVQiVT7jgtDrbXXdZ8Zgr7q82LyOU3G/9H9+bcxePevreRwbOWBNCfIkKlVKWzRw/6qfxo0Z+feI1N/299ca/y+1i2fIJr977QL8pK0MICSllS877fthP3339/cxjq+TsyXsnduKbdWxf8eP3fx3z5ajVqcdsmgDl/DBy1PIQSrZt33JD/rN2xsCH739u5ML1IT65XOUy8b/NnTSs76Thg4dfdMc/T6iz2cNXuQsHP/DYI9+uSEwpW7NcSsIhR7RJGTR46qivfjvtlE2+l64dPfybtSHuoA5HbS/98XXBnpOTkxtCCNnrszc/vnz04w/fP2hxXHLZyhVLbliSk/3Ll0/e99/PZmeGuKQylcsnLZ83dfTcqaMHD+1x261nNd70+cjsGX3u/GLSzFC2ZuM6xZbMmjlhxKwJY2f9dl6N4c99PL941f1rVS23asa8yV++esfPWY/0TquT/x+N9/6IRMKaae89cO9L437LCSEuuUyZRT+MnDXhq7HTT26YtXndrk3+7Nkf3XHb898vzQ7F9qtYsVKl7BWLf540fPakUaOm3fHgxc1L7vXbA/LHz7PsA9aPSX9m2KKs/Zqfc/t1pzcpkxBCWL90Yt8H7k6fPKL/kAVHda26/Wun9nl4XMljrnr8vE51Suy1homY7O+/GZcVQkqLNgftaBuT4lWatKyy6YGVw55/dOCMNSXqnXLVDT0Pr5Ycl5s5b+SLDzz68fSPHnn54Oeua5uyG2Xrvnu9d78pK+PKHXLOtVeceFDF5JzVc0a++sCjAz+as+funNiKa5KaWuX9fgu/+3LkimOOLb3xeO4PI0YuD6HMke2bJ4QQQs6Mfg89PXJh8v4nXHHNeR3qlIgL2cunDHiy94ujvn36X282fPy8Bn/+YLl88DPP5jbsec+lXQ+ukBBCCFlHtC4x+Mspo75edsoJG1+gmDl62DeZIaF5h3bbD9h9XbCnLB01akoIIdSuXWvTw2vHvPRYZuXTb7w3rW3VP+bcwgGPPfrZ7Ljq7S6+5qLjGpWOD7kZM4c83/vpz3948/7nGzx9xSaPSGZOn/RLo2533dyrebm4kPPbyEeufeCLJRPSn5pY+airHruyU62kEFb/+OrN/+w3Y+Zng39KO79Rvu9j749IBOTM6vfIi+N+y92vcZerrzmzVbWUkLlo7Nv/+U+/90ZsXrhrk3/lkFde+n5pdoW2F99x+fF1SsaFENYu+ublux/4aPbH7446p/mxtuiHIsYeQBR5C96/pec2PTTs93/qWDjr5+zk5Don/aXbhvQnhJBYrtmZJ7VMCOHnOT/v8NMXLyl31g0XS3/Ij2WLFq0LIdSsWWunpZvInd7v9VEZIfmwi+/6W9tqyXEhhLjkGkdectdfDy4WVg57/f3Zu1O2YODrny8JoUa3W2/venDF5LgQEvarddTF91zY0juuIyyuQcfUWiFkTxg6YtmfR3MnjRi1NIQy7X7Pf5Z+9vL/5uSWaPm3Wy9OrVMiLoQQEso0OfkfN5xeKy537vt9R2y6j8rKRWvbXnrDmb+nPyGEYi2OaF0i5E4a9fXyjUUZXw0bsy4kHtLhiDLbb87XBQUtN2v1r7PHfvDwbc+NyQih1OEdN9/hfO2iFY3/cuO5f6Y/Yc3o1976YX1igx43X3dCo9LxIYQQl7J/p8tv6tUkKfw26O3Pl2x6fVyj7tf1al4uLoQQ4ssf0bVTjRBCKHf0RZd3qrXhI/drfOZJh8SF8Osv87dYa5E3e39EirwVX77+wZzcUO6YG+45r021lPgQ4pMrtzrnrqtSS21Wt6uTf97sOfHJyc26XXBCnd9XzYXilVt3P75JCLlz5kjKoeixAogiL3ddxop12zqR8cdfhmp07f12161OL5g/PyeE+Jyd7Kt48HGdq+W3RfZxy5ctDyHEV6q85Q5SKz+6+exnJmxZ3vqqt2/tlBwWjR+/IIRyHU9tX3qz0+U6ndLu5fFD5kyYuOysOmV3sSxz0vip2SGhxWmnNdjsIYFyHU856pWxg1cWzI1S+NRKTa331mszxg8dvvSEkza8D+n3/Kd8u/bN4kMIYf3Eb79fG4p3+L9Omz+tlVC/U/u6/d6YOXHClND+kI2HK3U8ruVmLxUr1rJtq+JDh00YN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width="768" /></p> +</div> +<div id="position-adjustments-5" class="slide section level2"> +<h1>Position adjustments</h1> +<p>The stacking is performed by the position adjustment <code>position</code></p> +<div class="sourceCode" id="cb9"><pre class="sourceCode r"><code class="sourceCode r"><span id="cb9-1"><a href="#cb9-1"></a><span class="kw">ggplot</span>(<span class="dt">data =</span> diamonds) <span class="op">+</span><span class="st"> </span></span> +<span id="cb9-2"><a href="#cb9-2"></a><span class="st"> </span><span class="kw">geom_bar</span>(<span class="dt">mapping =</span> <span class="kw">aes</span>(<span class="dt">x =</span> cut, <span class="dt">fill =</span> clarity),</span> +<span id="cb9-3"><a href="#cb9-3"></a> <span class="dt">position =</span> <span class="st">"dodge"</span>)</span></code></pre></div> +<p><img src="data:image/png;base64,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width="768" /></p> +</div> +<div id="position-adjustments-6" class="slide section level2"> +<h1>Position adjustments</h1> +<p>The stacking is performed by the position adjustment <code>position</code></p> +<div class="sourceCode" id="cb10"><pre class="sourceCode r"><code class="sourceCode r"><span id="cb10-1"><a href="#cb10-1"></a><span class="kw">ggplot</span>(<span class="dt">data =</span> mpg) <span class="op">+</span><span class="st"> </span></span> +<span id="cb10-2"><a href="#cb10-2"></a><span class="st"> </span><span class="kw">geom_point</span>(<span class="dt">mapping =</span> <span class="kw">aes</span>(<span class="dt">x =</span> displ, <span class="dt">y =</span> hwy),</span> +<span id="cb10-3"><a href="#cb10-3"></a> <span class="dt">position =</span> <span class="st">"jitter"</span>)</span></code></pre></div> +<p><img 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" width="768" /></p> +</div> +<div id="position-adjustments-7" class="slide section level2"> +<h1>Position adjustments</h1> +<p>The stacking is performed by the position adjustment <code>position</code></p> +<div class="sourceCode" id="cb11"><pre class="sourceCode r"><code class="sourceCode r"><span id="cb11-1"><a href="#cb11-1"></a><span class="kw">ggplot</span>(<span class="dt">data =</span> mpg) <span class="op">+</span><span class="st"> </span></span> +<span id="cb11-2"><a href="#cb11-2"></a><span class="st"> </span><span class="kw">geom_jitter</span>(<span class="dt">mapping =</span> <span class="kw">aes</span>(<span class="dt">x =</span> displ, <span class="dt">y =</span> hwy))</span></code></pre></div> +<p><img src="data:image/png;base64,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width="768" /></p> +</div> +<div id="position-adjustments-challenges" class="slide section level2"> +<h1>Position adjustments challenges</h1> +<ul> +<li>What is the problem with this plot? How could you improve it?</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="kw">ggplot</span>(<span class="dt">data =</span> mpg, <span class="dt">mapping =</span> <span class="kw">aes</span>(<span class="dt">x =</span> cty, <span class="dt">y =</span> hwy)) <span class="op">+</span><span class="st"> </span></span> +<span id="cb12-2"><a href="#cb12-2"></a><span class="st"> </span><span class="kw">geom_point</span>()</span></code></pre></div> +<ul> +<li>What parameters to <code>geom_jitter()</code> control the amount of jittering?</li> +<li>Compare and contrast <code>geom_jitter()</code> with <code>geom_count()</code></li> +<li>What’s the default position adjustment for <code>geom_boxplot()</code> ? Create a visualisation of the <code>mpg</code> dataset that demonstrates it.</li> +</ul> +</div> +<div id="coordinate-systems" class="slide section level2"> +<h1>Coordinate systems</h1> +<p>Cartesian coordinate system where the x and y positions act independently to determine the location of each point. There are a number of other coordinate systems that are occasionally helpful.</p> +</div> +<div id="coordinate-systems-1" class="slide section level2"> +<h1>Coordinate systems</h1> +<div class="sourceCode" id="cb13"><pre class="sourceCode r"><code class="sourceCode r"><span id="cb13-1"><a href="#cb13-1"></a><span class="kw">ggplot</span>(<span class="dt">data =</span> mpg, <span class="dt">mapping =</span> <span class="kw">aes</span>(<span class="dt">x =</span> class, <span class="dt">y =</span> hwy)) <span class="op">+</span><span class="st"> </span></span> +<span id="cb13-2"><a href="#cb13-2"></a><span class="st"> </span><span class="kw">geom_boxplot</span>()</span></code></pre></div> +<p><img 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Qj9c+/hx2dNHex7aV6Qd2rz229+fjDFKIqlUyOXosQTobEnQnftPvDoSy/cEWBVdnEJP857JSKi0MEnsJVNRmz0sb2xx0IjL07odPSz9afFvVmzxo2yz8RG7Vn7ZnTuGx88HlTmsabEn+fPOBCWLaK3c7EvSor6+0LU37v3hz/+8tTbml6eoFxz9avJi7raKop6ZIz+9rXfI86I800tfS1Tz54J33U2POzsxYd8/lr+Y7yVZ/Mmni7Z0XHHd345+1zRooVjffVVLybv1Ob5b3x26GKJiGLt5JR0bPfZ8L1hUcNaFJUdVRi56qUZq6MKRW/j0sjDrTgtISo0Nip074lZi6d2r/Jv7di0Y+fOheVvyzl/9GRSoVhYXNoEGRN2fjTvw+0x+aIYnDxcDRlxkfvPR+7/9Y9xr7w8pqXtf/8doVbyD3/68tqIRIObb6vmpsToqLCdUWF/x6feq9uy4q8MB5/m3l4O56LPhf+87OUE5YM3hnhUsyhT0i8LZmzZn21wbtLS35B+7uyZQz8sPRKR/Na7DwYaKg5uFhLss25t3MG9h4pCepX9sHNy1+5UEeeQAR0sRAqOr5oxd82pLJNicHBv5OFWkJ585kj8mSO79p2f/9bYAMO/fXaYVdHZ9a/9dCCyQMTSwcU6P+5kaNzJ0D2hx6a8/FRw46r7OVNa2GdvvLMpMlvEwsHD3ZB8Yl/MsX1/7j82ZdYTwZ5VbdiM53+Y/+rnR3MdOz4+d/rAKofUdUhUp2Zz5porPrfl1W+3HMsVvb2LXXFKdHhydPjefWEPzJxxd6DNpTHMxJiJmUXtZ0dVcgsObrnixImIvfszhg52KnNH4u5d0SKGbgN60f7UHz4X3+h8756/8u4qbi8K33cwT8TO389TRCT7t09XHsnR3zR42quP9WpsJWLKid761qwVf4d9tvbILf/XofTdLOuPT97ZHJnr3uWBKU+Nau9mIabC+L1fL3x/U+TWBR8ELJ01wEVEpPjgNx//mVRk1+HBV58f1cpJLyLFaUfXzp/zzfFd639L7HOXp9gGjXoqKH3riztPpjt1G/PUfc2lFssvFfnte4fsB015/6GBvjaC+lR07OsFXx5Os/Yb9uxLD/ZsbKWYcmN2fDj3gz93L10c0H7h3V4iUnJm3aKVB1MU9+4Tpj89pKWjhRRnRGxd9NbnB/cvX7Klw+J7mpSZEMVERDa5dcYrT/RsbCGmrPDlL876LjZ649Jo506PvTN9eICtSMG5jXOe/+zIhe3bwycGdf3noSUnDoQpTh3GT5tyRzs3q5Kc2L3/e2fx1jO7P36/VccFIz1FarT61ehFVb2Koj7lR0UkBN79+swHOrgoUnJx96Ln5v+eGv7N0qMefaYseWZgE4NIzskvZ764LvrM9l9Pjy3/7ellJWfXLVp56KLJruWdz069t6uXreQnha155511m3eVHZb43dI1UYXWLe6ZOXNsB1cLEWNGxKo5r66L/P2zLSO73+9XxZIDhs+YPbzsDabkX+dMCRNx6ffwyNIHXNi2ZPH2GMU7ZNLUJwYHOurElHvmtxULl+049r83VwQse7orX7ebV9qJCKdODy2YdmegnUhh4o/znv0oLGP3yuUWvkNmvjWxRyO9mNLD3p82e0di+PY/E4dc2jpUKfG3LUkePR+fO/X25tYikhu97o0XvwyP2bzp4H3TelX6PO4XHOy1dk1C6N7Dxl5d/7k3ctfuZBHXvgPa60USvv90zaksnc+g516ZGOJlLSKm3Ljfl81e9PvpjVsOjZ7aQ/dvnx3mlHHkQIbeI3jStEmDAh0tizJP71y+YOnOczsWf9Iu6OWBVX1cyt29/N1NkdkObcdMn3Z3exeDmDIjN783Z+XBnxYta9V29s3OFcaXJP3+zsvLQjNsW49/bebtTf7NzoS1D4nq1GzOXAund2xRXDo/8vLTQ9u4GkpyYvesemfJd2cOf7VkQ+f37/NThJkYMzFz+Rezo6q5Boe0WnniePjeA7mDB/3z/Vdp/2PTY0APvhOrR/T6qIIxZdf7i39IE8V3+IjOehGR05EnjSIBt97Tq3Fpy6/Y+Q0bd2eXoCA/fXZm6aOKT6z5ak+O4jVs2kv3tHezEBFRDN69Hpk1saet5O5f811M6bgLZ88Zra1973jk7tKNvohYuLS7947OepFzseeumqqmyy+VnOoyZvok2p/6d+HHr35KFssOD8+e0KuxlSIiiq3vLc883s9eSqJ270sSEcn4/estsSbxGTVrxrCWpftjWTi1GTVr2h0eYjq74X+7csst0mv4lEk9G5f+iR2C7hnSUkTEuvtDU4cHlL4fWDUdObKXtUhhQsLFCnHc73jp1buC3KwUEb1dk+AJ854JsRXjyfWrwwpK49Zo9avJi4LZKYGjn3/g0j7vOtfedw30ERFxufmJyQOblH6taNfy3js6KiIpCfFFVS4ic+fXW2NN4jJo+tyHunvZ6kR01h5dH3x9Sv9yO6cXnYo8YxIl6PbRHVxLvyfRO7UZPfaOoKAgV1NGja6OWByz9q2loVn6JiOnPdnLWUQkb/9Xq48VWwSMm/n8kEBHnYiIYtt84OQZD7QyyMVf1uyoxRXoUTesu46femdg6deMBs/BI0McRER8hk+Z2KORXkREce58720tRCQhIf4ay3IZNPn50v5FRGz97ho3wFmkKDY2sarBfsHB3iK5ofvCy6xNkbt3J4s07te/lSJScvZcvJW1Xa+xE0rbHxFRbH0G3D3QRyQ/NrbiFW9q9ewwK8VvzKvThgQ6WoqIpaP/oOfmPtbOQvIPfLspqooLv5dEb/x6V5bY9Zn86rj2LgYREcUxcORzD3a2kIJDu8Pyyg83Xdz7wazFu1KtAka/+upd/laVF1gfIVG9msyZa8lz1MyXR7Z1NZTObUImvvHwkeXyAAAcxklEQVR0sK2Yzm355q9sEWZiMJc6mB1d5t47JFAR45G9oWW2aqX9j0PvAV3YebU+UQChPFNu9K8fT3vm7d+TTI6dHn/x3ualnb6dnZ2IxOz9JTLLdHmo0uruV994443Hgy/tuXcuNDRJxO+Woa3K/6d17juwi6VIXHh4moiI+Ny1cM2aNe9XaOoT4+NLREwlJrmami7/kvaDb+VqK2aQe2h/hFGsew8t/62kocNdkydMmHCrv05E5OSR8AKRoDuG+5Xb5OjbDhvqJ5ITHh5d9maHDl1alPnO2sXNXSciLbp2LbOPqNLI3U1EjMYK7zYBt49oU27HRrvedw72FMkIO3RGRGq4+tXoRcHsvLt08SzzBaWbu5uI6Nt17VRmxxlrd3d7+efg1YoijxzJF/EfdnfHch+UrHsMv7VxmX9b2tkZREyRf/0S88/ExKrL+DfeeOONBzrVYI+K3MOfvrkqssC61QMvjm97KV5kaGimKEGDhzQptwIpXgMHtBYxnQo/VnDtBaNOBXTpUnazUrpKuXTs6l/mb9zI3V1EjMZrfAxu1G9Qh7LvTUrjxh5SxTbqkubBvb1Fsvbvjbjyphe5e1eySJP+AwIUEdH1mvK/NWu+mda33LcYeXHxaVLFW2Utnx1mpO80/I4m5Xb5cB90Zz9HkcSwQwmVhyeEHogzifvAoT3K7RBo32vc0xMmPBbiU1zmRlPm3yteXrAj0ai0vv+l+1r/hy/MaxkS1avJnLl2Wt8xIrDcO4998F2DPUXyIo6dEWZiMJv/PDsqw713cEtFiv7eG3Zl8pO0e9cpEaeQAZ04Rqle8evFP3Kif/ly2ec/nsgwKfaBwyZNHd/H+/J/Zf/Bo4K2LQ2P+OaFR7e36NClY7s2rdsGtfN3tyqzz2dCfKKIknd009LkCnu3ZsZZihQlJV0Q+ecgLVNu8pnoM+fjL1xIjD9/JiLs7zNX737+xfIdPT3ZedAc4hMSRMTLt1mFrt7St9ewy5e8SUuIzxdx8m3mUvHRnr7NrCQ6MzExV9pd+XvZ29uXG6RTFBGds3O53dAVXVX7UNv6Na94mg6leYCfXhLTEhMLpNWVD/3Vr341eVEwvwprhk5RRMTB2bnclKPqNeOS9ISEfBGbAH/vCncofi0CdHLhymf89reP8vv9m+jQpc88vLF1py7t27Vp07Z922ZONXvPTN25+J3v401O3Z+cPqrJ5XQZ8fG5ItYXQ79YGl1hfHKqhUhxUlKqSMVgqFf2dhVWKZ2IODuX+7ihKDX6nOHtVeFvV+2aKOIfEuy5bm3i/r2Rjwe1VETk9O5dF0R8B/RvVm5cUcb56OhzcYmJiQnxsacOH4zIqYtnh/l4+DWveCoLS/+ApvLL0cTECyI+Fe4r3desqW/Fi8LbB/YfVuGw1uQf57+RlFQkIqaTP/905vb7m//rw/1qGRLVq8GcuXZc/Pwqzp8uzW2yEhNyJCiBmRjM5L/NjspzCw5u+dmJEwf3HSoO7mkhl/sft74Dgjh0uX5RAEFERIypYWvf/2B1WIpRcQwYNPaxB4a0cSk751U8h8x+32Pj12u37zseue+nyH0/iSjWjVqGjHzkoTtaOSoikp6cYhSR+LAfr7KjfH7+pYbXlHJozfKVW/bHZJV+Z6AYHL39gzo03Rd2rpoOqObLFxERJ6d/9SULasmUnJQiIi6ulWYUZaRevCiVPlWVcnFxEUlMSUkVqb6wU6QmEydXl8o59G5uziKpyckpIj41Wv1q9KLQQChKLabUaWlpIuLq6lrpHp27u6tIyuV/WviNnb/4prWrNv0aGnVs1/fHdn0vorP1DBpw76MPDGpW7bpqjN301od7MpTGQ597tp/bP+FSklNEJD9m3w8xVT8wP7/qa4jBzGq1Sl1hY1PLA479goM9165P3Lf39ISWASKnd+26IErggL5XPmvnndn++Ypvfj2aUlC6adLbujdt1alV4Z7jaZUWVutnh9m4VPG25OLmrhfJTU7OrfjWl5WUlC9icHGtwflPM5KSrAPGvDo8YdHCnec2frJt0JvDqjlNVR2GxDXUYM5cO1X9ffSubk4iF9Mz0pmJw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width="768" /></p> +</div> +<div id="coordinate-systems-2" class="slide section level2"> +<h1>Coordinate systems</h1> +<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">ggplot</span>(<span class="dt">data =</span> mpg, <span class="dt">mapping =</span> <span class="kw">aes</span>(<span class="dt">x =</span> class, <span class="dt">y =</span> hwy)) <span class="op">+</span><span class="st"> </span></span> +<span id="cb14-2"><a href="#cb14-2"></a><span class="st"> </span><span class="kw">geom_boxplot</span>() <span class="op">+</span></span> +<span id="cb14-3"><a href="#cb14-3"></a><span class="st"> </span><span class="kw">coord_flip</span>()</span></code></pre></div> +<p><img src="data:image/png;base64,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width="768" /></p> +</div> +<div id="coordinate-systems-3" class="slide section level2"> +<h1>Coordinate systems</h1> +<div class="sourceCode" id="cb15"><pre class="sourceCode r"><code class="sourceCode r"><span id="cb15-1"><a href="#cb15-1"></a>bar <-<span class="st"> </span><span class="kw">ggplot</span>(<span class="dt">data =</span> diamonds) <span class="op">+</span><span class="st"> </span></span> +<span id="cb15-2"><a href="#cb15-2"></a><span class="st"> </span><span class="kw">geom_bar</span>(</span> +<span id="cb15-3"><a href="#cb15-3"></a> <span class="dt">mapping =</span> <span class="kw">aes</span>(<span class="dt">x =</span> cut, <span class="dt">fill =</span> cut), </span> +<span id="cb15-4"><a href="#cb15-4"></a> <span class="dt">show.legend =</span> <span class="ot">FALSE</span>,</span> +<span id="cb15-5"><a href="#cb15-5"></a> <span class="dt">width =</span> <span class="dv">1</span></span> +<span id="cb15-6"><a href="#cb15-6"></a> ) <span class="op">+</span><span class="st"> </span></span> +<span id="cb15-7"><a href="#cb15-7"></a><span class="st"> </span><span class="kw">theme</span>(<span class="dt">aspect.ratio =</span> <span class="dv">1</span>) <span class="op">+</span></span> +<span id="cb15-8"><a href="#cb15-8"></a><span class="st"> </span><span class="kw">labs</span>(<span class="dt">x =</span> <span class="ot">NULL</span>, <span class="dt">y =</span> <span class="ot">NULL</span>)</span></code></pre></div> +<p><strong>3_d</strong></p> +</div> +<div id="coordinate-systems-4" class="slide section level2"> +<h1>Coordinate systems</h1> +<p><img src="data:image/png;base64,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" width="768" /></p> +<p><strong>3_d</strong></p> +</div> +<div id="coordinate-systems-5" class="slide section level2"> +<h1>Coordinate systems</h1> +<div class="sourceCode" id="cb16"><pre class="sourceCode r"><code class="sourceCode r"><span id="cb16-1"><a href="#cb16-1"></a>bar <span class="op">+</span><span class="st"> </span><span class="kw">coord_flip</span>()</span></code></pre></div> +<p><img 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" width="768" /></p> +</div> +<div id="coordinate-systems-6" class="slide section level2"> +<h1>Coordinate systems</h1> +<div class="sourceCode" id="cb17"><pre class="sourceCode r"><code class="sourceCode r"><span id="cb17-1"><a href="#cb17-1"></a><span class="kw">ggplot</span>(<span class="dt">data =</span> mpg) <span class="op">+</span><span class="st"> </span></span> +<span id="cb17-2"><a href="#cb17-2"></a><span class="st"> </span><span class="kw">geom_jitter</span>(<span class="dt">mapping =</span> <span class="kw">aes</span>(<span class="dt">x =</span> cty, <span class="dt">y =</span> hwy))</span></code></pre></div> +<p><img 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width="768" /></p> +</div> +<div id="coordinate-systems-7" class="slide section level2"> +<h1>Coordinate systems</h1> +<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">ggplot</span>(<span class="dt">data =</span> mpg) <span class="op">+</span><span class="st"> </span></span> +<span id="cb18-2"><a href="#cb18-2"></a><span class="st"> </span><span class="kw">geom_jitter</span>(<span class="dt">mapping =</span> <span class="kw">aes</span>(<span class="dt">x =</span> cty, <span class="dt">y =</span> hwy)) <span class="op">+</span></span> +<span id="cb18-3"><a href="#cb18-3"></a><span class="st"> </span><span class="kw">coord_quickmap</span>()</span></code></pre></div> +<p><img src="data:image/png;base64,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" width="432" /></p> +</div> +<div id="coordinate-systems-8" class="slide section level2"> +<h1>Coordinate systems</h1> +<div class="sourceCode" id="cb19"><pre class="sourceCode r"><code class="sourceCode r"><span id="cb19-1"><a href="#cb19-1"></a>bar <span class="op">+</span><span class="st"> </span><span class="kw">coord_polar</span>()</span></code></pre></div> +<p><img 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width="768" /></p> +</div> +<div id="coordinate-systems-challenges" class="slide section level2"> +<h1>Coordinate systems challenges</h1> +<ul> +<li>Turn a stacked bar chart into a pie chart using <code>coord_polar()</code>.</li> +<li>What does <code>labs()</code> do? Read the documentation.</li> +<li>What does the plot below tell you about the relationship between <code>city</code> and highway <code>mpg</code>? Why is <code>coord_fixed()</code> important? What does <code>geom_abline()</code> do?</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="kw">ggplot</span>(<span class="dt">data =</span> mpg, <span class="dt">mapping =</span> <span class="kw">aes</span>(<span class="dt">x =</span> cty, <span class="dt">y =</span> hwy)) <span class="op">+</span></span> +<span id="cb20-2"><a href="#cb20-2"></a><span class="st"> </span><span class="kw">geom_point</span>() <span class="op">+</span><span class="st"> </span></span> +<span id="cb20-3"><a href="#cb20-3"></a><span class="st"> </span><span class="kw">geom_abline</span>() <span class="op">+</span></span> +<span id="cb20-4"><a href="#cb20-4"></a><span class="st"> </span><span class="kw">coord_fixed</span>()</span></code></pre></div> +</div> +<div id="coordinate-systems-challenges-1" class="slide section level2"> +<h1>Coordinate systems challenges</h1> +<div class="sourceCode" id="cb21"><pre class="sourceCode r"><code class="sourceCode r"><span id="cb21-1"><a href="#cb21-1"></a><span class="kw">ggplot</span>(<span class="dt">data =</span> diamonds) <span class="op">+</span><span class="st"> </span></span> +<span id="cb21-2"><a href="#cb21-2"></a><span class="st"> </span><span class="kw">geom_bar</span>(<span class="dt">mapping =</span> <span class="kw">aes</span>(<span class="dt">x =</span> cut, <span class="dt">fill =</span> clarity),</span> +<span id="cb21-3"><a href="#cb21-3"></a> <span class="dt">position =</span> <span class="st">"fill"</span>) <span class="op">+</span></span> +<span id="cb21-4"><a href="#cb21-4"></a><span class="st"> </span><span class="kw">coord_polar</span>()</span></code></pre></div> +<p><img 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NOIWY/vevzB3u8sDofDqnLNdV0VA6k8iOKgvapUKl1dXfUxkGmabW1thUKBbcIAABgDBEDAmNh4x7f/+bZO6Tjnx9d8Yvau67Tp7//CuU9cunj9rd/58rpjjz2kLb3mqadWvl4MTT3rwvdM8e46yJsBAdd73A9nfYPhlfmo/3vX7zXxIe4ZDb3zINM0VTmbahOrVCqVSoVdxgagYqD6LFgNCcrlcnSEAQAwqgiAAB9Zc87/9+/Hf3n1zY+vXHrHShHRY9OOP/+zn1s0L7oPNwMCqnfPV6VSyWaznCT3JxQKmaapEp/6UT4Dhz4kPmOvdx6kph3XFwdVKhVSzt5KpVK5XLZtOxqNioiu64lEwrbtbDZLRxgAAKNE400JMGJK29eu3V4yO2YdMqnnZObC1pde7qxIn98TqWa3vb5lZ8lsmzRlUrLnII8h36x/7AKGsdej58txHD7n71MoFFK9RYZheHt1NUTic8OfvjTGzzh6M4BGUP08aZUElcvlSqXi45KCKRQKxePx+trAUqmUzWZ5g4ox1tHR4fcSAGDUEQABLYQACGOJnq+90jTNNM1wOGya5iArfQIS+tQjANorLwxyXVfFQOVymZlB9cLhcDwer58Ols/nC4WCv6tCSyEAAtAKaAEDAIwwer4Gpuu6KvYxTXOvxT4BTHwwVPV/uV6bWLVaLZfL5XKZjicRKZfLO3futG3btm1N0zRNi8VilmXREQYAwAgiAAIAjCR6vvrjFft4s5wJfVqQ95d+v7PYMIxoNOo4jlcW1Mr1carqp1QqxWIxtc+aYRhtbW2lUimXy1EwBQDA8BEAAQBGBj1fvWmapkKfcDjshWJ95j6EPq2mR1lQJBIREW9UUMuWvdRqtXQ6Xd8RZllWOBymIwwAgOEjAAIADBc9Xz14E529OIxiHwygvixI/c7UajXVINaac6PpCAMAYDQQAAEAhoWeL4+u65ZlWZY1cJMXoQ/6U58EqfjDdd1SqVQqlVotCaIjDACAEccuYEALYRcwjKxQKJRIJLyww3XdQqFQKBRa7ZVF9XlFIpGB632aOPcZ443AGm4XsOHwdhCr1WoqCWrBwjpSZowBdgED0AqoAAIA7ItIJBKLxbxNrMrlci6Xa7VT03A4rAaUqD+HVst9MAbqa4Ki0Wg0Gq1UKioJap2ktVQqlctlr89U1/VEIhEOh7PZbOv8IQAAMHwEQACAoVFnX161i+M42Wy2XC77u6qxFAqFLMuKRCKqJIHcB2Ogx5ygWCzmJUH+LmxsuK6by+WKxWI8HlcHH8uyTNPMZDKt1hwHAMA+IwACAAyBZVnxeNwr/GmpeRw9RvyQ+8AX9UmQ2i2rdYYE1Wq17u5ur/xQ1/VUKlUsFnO5HKVAAADsFQEQADSJwoqbrrpvo0w68bMfPzY58E1zy274xZ9fbz/2ExedOGHQj69pWjwetyxLfel9IN/zdm88cc3/e6Rz4js/fcHxbUP6AYJKjfhRrV7qmt7RD7kPxl59EhSJRFphSFBp5eKf/WmDiGiaFgqFvCTadd1area6rsi0U7/0kbfaAz7Kmzbcc+Xi5ysHv+/r58zRRmvNAAAEBwEQADSJWtdrq1evluK8vfdi1Xa+unr12omzeoU3/VKFBt4Q1kqlkslk+i78Ke94ZfXqTfm5TVCNYJpmJBIZYMQPuc/Ya6kJ0IOkfjNbYUiQ0/3a6tWrB77N24cQf+W2rFm9uhR9tytCAAQAaAEEQACAgWia5s1eld17MxcKBX9XNapUyY9t2/21epH7IIB6DwkqFouFQqEJOzSnnHrxp+enREQkFArVbxBWq4UjSUOc6uAeKD71sHnzytNTpD8AgNZAAAQA6JdhGIlEIhQKqS+r1Womk2niBhNd1yORyADTnYl+EHxeQZBt27Ztl0qlQqFQrQ4yE2kEkfYp06a17/5qGCH1jNO+ePFpo7RIAACChwAIAJpd7vXlT69Y+/IrW0vJaQcdeOhb3z7H6vN2tTdefmb5ixs2vrola7TtN+3Qk05919yOhPftQqGQy+Wk2vniX59Zs2nLlq1vVCKpcR3T5h4//8gpsUb/BN0wDNu2vQlHPaIfch80nPqCIMuyqtVqoVBoyi3D1DyycrmcSCR0Xdc0LRaLhcPhbHbHpuWPLl+3ecuW7WnXbmufOOMt80+YN7Hu+LfxTz+7aWXJmwG0+YGrf/dM7a0f+dKpkzqfu++eh1/akHzXv3zsaN4sAwCaBa9pANDMiq/+5X9+8Ydn/r7rw/8VT/3lrjuWnn3B4T1Hg9Q6l9/862vuW5fzvvG3h5fcdc9pF3/7c8dPdGu1TCZTrVZLGx/8n18tfnrrHueQD95zx+wPfuufT5/aoK8oqttLbSxNyQ+aj1cQlEgkvL6w5hsPVKlUdu7cGYvFIpGIiJiFNUv+68o/PrO9vvDpkQf+9863fuJfv/SO8bsS69zWtatX570ZQMXt61evLu+f3vKXm664/sWMiLzl+LH/SQAAGDUN+nYdADAIpZXX/+f1z2QkMv1dC8864ZApdnrjivsX33HHLzfoe9yu9vItP7lqydbQuHlnnXvmO+ZNa6vsWPmX319390tLrrjM+t6Pz5lcdl1X3Ff/91c3PL1VOt76gQ+99+iZHbab69zw5J033PncmsU3PDL/Gycl+llGIGmaprq9VIMbJT9obvWDom3bLpfL+Xy+ydo5XdfNZrOVSiUWM5+97oe/f2anMe1dF37svYdMiJjV7i0vPXrrH5asW3Hd4meO++wAVT211+765aNbJp7yyc+cMGu/iRN4pwwAaCK8rAFAs3I3LbnlrxnRpr7nkm+dO0O1PUyaNufg9p9dds1z9fMxOpf+8c9bxZ73icu+fsb0uGmaItP3P/iIA6P/9PU/brz72rvf9c1TxonIGy++sNWV+Ds+/vn3zlOvHsnU+LM/V1z/hWuee2XjRpF5Y/8z7otQKKSinz739iL6QRPr0RdWqVQKhUK5vPedA4Nl26PXXv1yuPf15iHvvegfppdKlcrap5fvFNn//Rd/7exZmuM42Ww2NX7KRd1rvrF4wysbN8nRM/p98MK6te77Lr/0/VMbva8VAIBeCIAAoFlteerJ11yx3372mTPqhl7o40446113Prek07tm698eWVuVCad/6KwD21QmIiLFYmXcyafOW/zfK9etXFU4Zb4tEn/7J/9tTjUyftoeLx3VmquLVCuNsOu72tZdDfqh2wutzCsIMk2zVqsVi8VisdgwfWHZ11c+/Xof11vWu0RExHEmvPPz/3asOW7mgSIiuq4nk8lisbjddUSkWh54HnboLaedRvoDAGhKBEAA0KTc7du3i8iB8+bae35DP+iwwyJLHiru/nr71m0iWru289FHH911V9fN5/OOs0NiItktm7eKzBSxxk2dMU7doFbs3vH3zu3btry25vH7X6iJhMboh9pXkUjEtm26vYB6XgwUi8Wi0WjDbBs/+aTPf+ztfbSc6qmpuy7ZHQfMEBG7VnPd0o7tW7dt2fza+mfvW7JxEI/eNmWKvfdbAQDQgAiAAKBJdXfuqIrEOsb3PpcZP268iPoAPRTKpneURGTNXT/50V19PlCxuDsrqnWtWXr3fU88u2pjZ2HX7BAj1RbTJTsK6x8hlmVFo1GiH6A/9dvGRyKRYrGYz+cDXQ1kT5x1yCHtA9+m0vnSw0v+/MSzL7zSWVSJlmaNb4uJ5LSQOeA929v28tAAADQqAiAAaFKxWEwTKRYKuza4qbO70csMh9sSk+JxEbGP/eS/njqlWKlU4vG4rusiUiqVisXim5+qdz7xi+/9vxVp15ow5+2nzDnwgCmTJk2aOnXyxt99/qePDdxS4Y9wOByNRg3DEKIfYG8aLwYaQO31P//nD36/pqBFpx158jkHT5s0eb/9Zs05dOKKH3/wp09p4WgsFsvlcv3c2QgFvaIRAIB9RAAEAE3KnDAhJdK1ZcvfRSbu8R1n67ZtIqIZsWRSE9l//3EiO8vmfjNn6iJimmYqlVK3TKfT3oDYNfctXpF2U0df9G+fPb69bhexAJ4gEv2MsfNOv+qGP33J71VgBPSIgfL5fCPNBtqt+uzdt64pyKTTvvufn59tFFXWo7n5cmVX5aJt24ZhZDL6gA8DAECz4ZUPAJrV5ANmhEVee+jBl/fc6jn35KPLKiKi7+qD2H/Ggaa4zz/2aEZERCqVSj6fFxF3/fWXnH/+J//1js0iIoUtW7pEQnOPO659j5eO7u3bSqP/swyWSq+SyaRhGAv0RfXpj37UXNIfYDDUvx1N02KxWHt7u23b3nj4hlB8Y1tRZPwxJx1m17xKH9d11m3c4t3GNM22tjjvgwEALYUXPgBoVtHjzjy5Q6Tzwf+59sm/786ASq8/dM3Ny9/cBL5QKDhHnHHyRKk8/4ef3PSCGuaTz+fLbzx77X/dsVm0WSedMllExB4/PipS27h+45vtXtU3nr/l6tvXiYhTre2ZMo05Ff2kUinTNIl+gOFT/450XW+sGMi27f0n7aeJdK1dvT6d2X11ZevTv/t/S7aISDmfVjVNuq6FNQn+DHsAAEYKLWAA0LRCs97z0RNXXP3Q1kd/9W8v/unggybb+dfXrtnYFTp0/lHbHlsmkstkcqWShGaeef4pK3/+541LrvzGMzMOPmR6u9O59tkXNufd6GGfvHjhAXYpVygUZp/wjomP3Lf53h9dvvWEow5IVLu2bHhhxeo3ErMOSL68Mf38Pdfe7ZzyD2+fHhnzH9MwjGg0Gg6HhYYvYKTV7xRm27ZqCvN7Uf0KhULRaFR72ynvbP/rw6uvu/zyF4+bNyVaeeP1tc+veDmz36yp1sub0k8uvvr3ubPOfdd0a9edIomEls82WqMbAABDRgAEAE0s/tZ/vOxbU6777d3LN73y/JOviOjxGSde9OXPHfrwlx9b5hQrpV3dW/F5H/32v834w29vf3LD+pWPrRcRCU9463sXXXj+6dMMESNWqVRk9rlf+Yxz7R/+smbZA68vEwnZEw467h8/s3C+9pfv//D2ja88esufJh07tgGQOtmzLEuIfoDR5MVA8Xjctu1CoRDAGEjTtEQioWmaJN5+4Tc+4/zyhsc2PHn/BhHNiE+a8w+f/qf3H9l98+X/9eDWNUtuCk876S0Tx+0acGZaVsoMZTKUAgEAmpzWcIP9AOyzzs5Ov5eAUVTr3rRua04iE2YdMK5Huq/rYla6t3Tryf2nTkqY5XJ6/bPP73DHzTiww9rzlm4127n574XI+P06kpYu8Xg8EomISK1W6+rqcl1XnHJmx7bOQmTC5I64sbsfpJbd8up2p33K5DZLq+x4ZX1nyeo4cMb4gTdbHg6in6AZmyHQH5n4uTF4FgzsfmexiNRqtXw+XyqN6Qgwp/v1tVuzYk+YNb3nUU6k9/GqWuru3PZGOTppcofthTuV7k2v7QxNmLJ/wpT8zle3lcL7TZs3PSXiuvl1y57bXgxPOmhaiiyo9XR0dPi9BAAYdQRAQAshAGpNpmkmEgm1s7uI5PN5NeN5MDRNS6VSajutUqmUyWT2epfRRvQTTARArUbFQNVqNZfLVSoVv5cjlmUlEgl1uaurq1qtDnx7z3COkGgmBEAAWgEtYADQzCKRSDweV5dd102n00M6VXNdN5PJtLW1aZpmWVa5XB7jD/x7sG07Go1qmkb0A/jLawpLpVLlcjmXy9X8mwSv67p3oMvlcoNPf0SkUql0dXUlEgnTNEUkGo0ahpHJZPiIFADQfAiAAKA5qS2cVUOEiFSr1Uwmsw9naLVaLZfLqZOreDxerVZ9Oc0Lh8OxWCwUCsmehT9EP4CPvBjINM1CoVAoFHzJTXaN/hGpVCqFQmGvt+/BcZzu7m415VpEwuFwW1tbOp32MdICAGA0EAABQBPSdT2ZTKrWLREplUrZbHafT8yKxWI4HA6Hw2rGaldX18itdO9CoVAsFuu9yRfRj1+6Dk35vQQEywJ90f3OYtWbmcvlyuXyWD57NBpVxTuO4wynTVWVDsXjcU3TQqFQW1tbNpv1t+YRAICRRcfn1oYAACAASURBVAAEAM0mHA57n4e7rpvL5Ya/X08mk2lvb9d13TCMWCyWy+VGYqV7oWmabdu2bffo+SL6GQPBTHn6+6t3lr04xitBD14pUDKZHMuOMNM0o9GoupzNZh3HGc6jlUqlWq2WSCRCoZDKuw3DGJvDHQAAY4AACACaSv3QH8dx0un0kMZh9EcNA0qlUiJi23alUhntD/m9ni/G/YyqYAY9QzXAbwXZ0Fga444wldGoy4VCYUQOStVqVY0EUlWHtm3ruj6cCkoAAIKDAAgAmkc0GvU+DK9UKplMZpifh9erVCr5fF49fjwe7+rqGsEHr0fP1+hpjrhnSPr8tSEVGlVeDGRZ1qhuFe/t3lWtVkdw6y41L987nFqWpet6Op0mAwIANDoCIABoEvF43Bv5PEpbtufzedM0TdPUdT2RSHR3d4/s49PzNeJaMPEZjN6/UURCI04NBkokEpFIJJvNjnhHWCQSUTGxqk8c8XQmn8+rdjARMU2zra2tu7t7lFJvAADGBgEQADQ8TdPi8bhlWerLQqEwekMr1DAgTdNM07Rtex823OlPnz1fRD9DReKzb3r8ppEHjQivFKi9vb1QKOTz+ZGKaVSdoLo8evOGSqWS4zjJZNIbCz1STbUAAPiCAAgAGpumaclkUm2CIyK5XG4EQ5neHMfJZrPqU/FYLFapVIZ/OkTP13CQ+IwG8qARVN8Rlsvlht8Rpkb/qDn3pVJp+EPuB1CpVLq7u5PJpK7ruq6nUql0Ol2pVEbvGQEAGD0a/cxA6+js7PR7CRhh9du9u647ZpsWe+1mtVqtq6trn19K6PnaN8EMfe6+8uOj/RTnnX7VaD/FYJAH7Zv7ncUiUqlUhtkRNlLHn8ELhULJZDIUCsnYHmkxljo6OvxeAgCMOiqAAKBRhUKhVCqlZqCqqaVj9rl0LpczTTMUCoVCoXg8vm/zhgzDUNstC4U/gxDM0Kc11f+KEgYNnlcK1NbWls/n961WMRwOe8PORmP0T59U0qRqLb36o1GtPAIAYDQQAAFAQzJNU02mkBHd7n2QVN7U1tamaZplWeVyeUifh2uaFo1GbdsWop+9IfcJOMKgoVLDoVXX51B3KlTj59XlXC439gc9b3v4eDweCoVGb9oaAACjgQAIABpPOBz2RmDUajVf9qap1Wr5fF7NYY3H49VqdZA9HYZhxONxwzCIfvpD6NOgvF9jkqCB1Q+HzuVygy+l8Y57lUplVIed9UllQF4Dmm3buq6Pxn6LAACMEgIgAGgwtm17299Uq9V0Ou3XzsSFQsE0zXA4rHoiurq69noX27aj0SgTf/pE7tM0KAsaDFUKFI/Hw+FwNpvd63EsGo2qafeO4/gYu6gBRuogbFmWruvpdJqRmgCAhkAABACNJBqNRqNRdblcLo/ZCIz+qF3hdV03DCMWiw3QEKGmBZmmSfTTA7nPIAVkAvRQURY0gPqpQNlstlwu93dL0zS9Q99g0qJRVSgUXNeNx+NqYWprMH+XBADAYBAAAUDDSCQSlmWpy8ViMZvN+rseEXFdN5PJpFIpEbFtu1Kp9HkKZ1lWPB6n8KceuU+rIQnqjyoFSiaTpVIpm832DrVVjaG6XCgUBsiJxkyxWHQcR7WkGYahMqDhbG0GAMAYIAACgAagzn/U8FERyefz+Xze3yV5KpVKPp9XH87H4/Gurq76T8J1XVctHkQ/CrkPSIJ680qBTNPMZDI9NjSMx+Nqu8NqtRqcQ1+5XO7u7k4mk7quqz0Zx3gYPwAAQ0UABABBp+t6Mpk0jF1H7Gw2G7Tth/P5vGmapmmquCedTqvrLcuKxWK6rpP+kPugN0YF9aBKgVKpVLFYzOVyqhQoEomoykdVbxioaTvVarW7uzuVSum6rut6KpXKZDJBKFACAKBPBEAAEGihUCiZTIZCIdl9/hPMsws1DEjTtHA4bNt2sViMxWJqrxwv/WnB6IfcB4Ok/nUQA/UoBXJd15t5n8vlAthjVavVurq6VEavaVoymcxkMqVSye91AQDQBwIgAAgu1Vageh8cxwlyf4HjONlsVs3piMViaoPkVi78IfrBPqA7TFGlQG1tbY7jqH3fS6VS0CofPY7jqF4wtUmZOgySAQEAAogACAACqj79qdVqwZ8wWiqVTNNUVT/16U9LRT/kPhgRJEEqA/Li7yDMvB+A67rpdDoej6tuNTIgAEAwEQABQBCpuT/1tT8BT39EJBQKqQ/AW7Pwh+gHo6GVW8O8djBN0yzLCmwFkKJadEWEDAgAEFgEQAAQOGqYqJr7o5oLgp/+tOxG7+Q+GAOtXBCkSoHi8bhhGAGvAxKRHhmQ67rBnNoGAGhNBEAAECyNmP6ooT/SYvOeiX4w9lqzIMgrBTIMI51OO47j94oGkslk1Dh8EUkmk+l0mgwIABAQBEAAECANl/7oup5IJEzTbJ3CH3If+K5lYyA1GTqTyVQqFb+XM5B0Op1MJsmAAABBo/u9AADALg2X/hiG0dbW1jrpT9ehKdKfAZz51ev8XkJr0Y+aq/7zeyFjZ4G+SB0nVclhkNWHPl4YBACAv6gAAoBAaLj0JxKJxONxaY22L3IfBFlLFQR57WCmaWYyGdd1/V5RvzKZTCKRUNFPIpFIp9MBL1wCADQ9KoAAwH+apiWTSS/9CfieX5qmxePxeDy+QF/U9OkPVT9oFC1VDbRAXxQOh9va2tRhM5jUvmAq9FEHebVPIgAAfiEAAgCfaZqWSqUMwxAR13XT6XS1WvV7Uf1SlUqRSKTp276IftCIWicGWqAvCoVCbW1tasutYFKHdDIgAEBAEAABgJ96pD/d3d1BTn9M02xrazMMo77wp/nONol+0Oia8h9mbwv0RZqmJRKJWCzm91r6RQYEAAgOZgABgG8aK/2xbVudZTVx2xe5T2Cdd/pVfi+h8bTCbKD6HeIzmUwwd4hXGZCKflQGxDwgAIAvCICAkVDevuKBJY+sfGWnO27GnDmHH3PCkVP2tkHJ9gd/+rMH/j7ADcJHXfDthQeLiJSf/u3lt63t6zbx4z79rbMO2NdVw1/qNKAh0h819MeyrCZu+yL6QbNqkRhI7RAf2BZalQGpxF8d/IN8zAcANCsCIGC43J3Lr/3+D29dk1NfPv34kptvuP2Miy/79PETBxpNWdy25rnnNg1wg8jEzK5LW196sp+btk/P79Oa4bv6RoCAz/0JhUJqQHWzFv4Q/aAVNH0MpDKgVCqVy+WKxaLfy+mDCvq9DCiVSpEBAQDGGAEQMDy19TdcdvmtrzqJw86+YOGJc8Zl1j5+x7V/XHbvFZcaP7j6osPC/d5xwomf+7eDS319J/3UdVfd+0r7O+bPUV+7W7duE4kcef4lZx3Y46bmxGkj9YNgDPVOfwLbCxAOhxOJhKZpTZn+EP2g1TR3DKQyoHg8bhhGNpv1ezl9IAMCAPiLAAgYlvTS3932qqPtf8Y3L7vw8KiIyLQD5051LvnGzRvuuX7JOVec1dHfPe3Jhx89uY/r88/89Oev1Mb/wxc/dXRUXbNj65aKyORD5x999JRR+SEwphoo/WnioT9EP2hlTRwDeSOBdF3PZDKu6/q9op56ZECqF6xWq/m9LgBAS2AXMGA4Mk88vLwictBp5xwe9a60Zp99xlxNaqseenygGT99Ki7/zdUPvjF+wRc/dZT3gNu2bhPRJk2aOEKLhr/i8XhDpD+xWKwp0x92+AKUJt4pbIG+KBwOp1IpTdP8Xksf1MFfhT66rqdSKV3nDTkAYCzwegMMg7t21aqayNSjj560x/WpY46ZLeKuW7V6aOf2xeev+8V9fx9/yhcufNubO9oWtmztFhk/aRLbxjaBaDRqWZa6HOT0Jx6P27a9QF/UTOkP0Q/QW7PGQAv0RYZhtLW1hUIDjePzi+M4XuGPruvJZDKYWRUAoMnQAgYMw47XNhVFZMrUnq1Z4ydPseSl0qZNW0SmD/bRnJf/ePXd2823fvljR0frrt66bauITJoY2/DILQ+sWL9lp9M+dcbMOcecePyBcd4uNpRIJBKN7vq7zWQywUx/NE1LJBLhcLjJNvwi+gEG0JRNYd5Y6GBO2XccR+0Lpuu6YRiJRCKdTvu9KABAkyMAAoYhnUmLiJ2I9/p8MZlIiJTSmUwf9+rHzgeuv3OTO/kD55/cXn+1u3XLNhFZ//tL/imX2zXM4OnHRP7wx3lnf+mrFxw9oY8QaOXKlb/85S97X//d73538OvByDJNMx6Pq8v5fL5U6nMCuM/UB9GGYTRZ4Y/fS2ghpmmqZhZVzuD9v88Laj5L7/87jtPn9Rht+lFzmzUDymQy5XLZ7+X0VKvVVAakaVo4HI7H48GcXQ0AaBoEQMAwlIolEfFO6+vE4nGRzmKxMNiHqrxw4x+Wle23f3Th7D07M3ds3VoRkXxtwqkXffGdh86YGM68/tJfb/vdHc89f9sVPx738yvOntQrAtq5c+eTTz459J8Ho0XtpK4ul0qlfD7v73r61HzbvRP9jL1Uij/zxtZ8pUAqA0omk5lMJoDJe7VazWaziURCRCKRSK1WKxQG/c4BAIAhIgAChsG2bZGd1UrvyvJKuSIiESsyyEfaeu9193XK1EUfeWei57emHXfuuUdEZr777HdO3zU7Zv/pc9521NTvfP6/lq/63W8ePuVbJ8Z63gdBomZ8qsKHSqUSzA94DcNIJpO6rpP+AGiyGEhlQIlEIhQKBTB/L5VKuq6rofuxWKxWqwWwWAkA0BwIgIBhaB/XLrI5ne3d6JXJZnZ/fxDctffcuaoms05ZMKtXNU/H0ed+/Ohe99DG/8OHF/x++Z2dL65eLyce3uO78+fPf/DBB3s/D+8px57a5Vc1xahq/wA2s5imqUaQNkf6Q/Tjo2M/9pOlv/6c67o9Grh6X+Pdpb9mMe9LhuP6pZk6wrzt4TVNy+Vyfi+np0KhEAqFIpGIiCQSie7u7gAOLQIANAECIGAYkm3tIZFadzovUj+3WdxMOici49rHDeZhaivv/8t20eae/O5Je7/xbtoBB0wX6eze9HpeDo/u+T1VzdH7Pp2dnYN/AoyIRCJhGIbsnvcZwPTHsizVfdAE6Q/RTxAE8Owa+6wpS4F0Xc9ms0E7GmezWV3Xw+Gw+tjA2yMMAIARxDbwwDBo++03QUTWvLiqx7u0l1atromk9t/fHsSjlP5238PdEjry5Hf1jotqma0bNmzYsL2PEypVxx6ftF+09/cQDPF4PBwOi4jruul0OoDv5m3bTiQSzbHdO+kPMEqaaav4Bfoiy7KCue16JpNRhT9sDA8AGCUEQMBwzDzqqHaR/DNPvrDHJ4nrn3pqh8ikk08azBvm4pNL/5oXbd78E/o4fdVfvfPbX/nKVy657oWe0UH3ihWviGgzZ87c59VjVNm2rer5pe5tfaDE4/FYLNYE2713HZoi/QFGW4MeH3pboC8yTbOtrU015waH+qhA7YKnpvKTAQEARlawXvmARqPNe897DtBk5/2/vnZVcdd15fU3XX3XVpFZp556kPfOrfTGaxs2bNjw2hu9diCpvbB8ZUVk+mFze+8lJqLNefe7J2nyxn2/+PWTO70MyM28dOuVv32mKBNO/eDJbSP/Y2HYLMtSEz1FJJfLBW36kqZpiUQiEonUF/406Nkd0Q8wZhr3QNHDAn1RKBRKpVKhUMjvtezBcZzu7m7VnmaaZl+7jAIAsO+YAQQMizb9/V8494lLF6+/9TtfXnfssYe0pdc89dTK14uhqWdd+J4pb95u4x3f/ufbOqXjnB9f84nZezzC2mefzYuk5s6dIn0Jzf7IP3/ilR/8dsW93/v0M3PeOndqota1+eXVqzZnXWva+7/8ibcMdp8xjB3DMLx37cViMWh7+qoBE6ZpNnrbF9FP6zjv9Kv8XgLe1BzDodU8oLa2tqBNXFbbBaRSKRGxLKtWqwVw5zIAQIMiAAKGyZpz/r9/P/7Lq29+fOXSO1aKiB6bdvz5n/3conmDms2z+dkVfxfRDz10dn+3sGe///KfzrrpF7+84+nVf1u6WkQ0MzH5qA9c8NmPHjspPFI/BkZKfd1+uVwO2qbvmqalUinDMEh/AOyz5hgOrTKgVCqVTqcrlYrfy3lTpVLJZrPqg4RoNOo4TrFY3Ou9AADYKy1omyAAjaqa3fb6lp0ls23SlElJs+d3C1tfermzImbHrEMm7TEYOvPaCxu73d7X96GW79y85Y2CMW7q1I7oPhWtswvYaNM0ra2tTfUUVKtVr5I/IJoj/SH6Cbi7r/z4iD8mFUCB1egZkIjc7yx2XTdodUAiEovFbHvXO4Pu7u5ARVRNqaOjw+8lAMCoIwACWggB0GhLpVKmaYqI4zhdXV1qlmdANEfnF+lP8BEAtaBGj4ECmwElEgnLskQkmMtrMgRAAFoBQ6ABYGQkEgmV/tTv5BIQTZD+sNUXEFgNdzzpYYG+yCuQ9Hste8hkMqrwRx3Dg7ZtGQCg4fBCAgAjIBqNqs9pRSSdTgfqc9rmSH/8XgKAgTT6BmGBzYDS6XStVhMRXdfZGB4AMEwEQAAwXOFwOBrdNfQ7m80GalJDo6c/FP4ADaSxDi89BDMDqi8pNQwjFov5vSIAQAMjAAKAYdF13dv0vVAoBGqvliZIf/xeAoChaehSIJUBJZNJNcs/IGq1WiaTUZcjkYhXbQoAwFARAAHAsCQSCTWXoVqt5nI5v5ezBzWWiPQHwBhrrKNNvQX6Il3XU6lUoDKgSqXivb7E4/FArQ0A0EAIgABg38ViMW/br3Q67fdy9pBMJsPhcCOmP7R9AU2ggY45PQQzAyoUCuVyWXaXdjIMCACwDwiAAGAfhcNh27bV5UwmE6htvxo6/fF7CQBGRuO2gwUzA8pkMmogdCgU8lqPAQAYPAIgANgXoVAokUioy/l8PlCDn0l/4KMzv3qd30tAsDTQIaheADMg13UzmYzruiJiWVYkEvF7RQCABkMABABDpmlaIpFQFfiVSiWfz/u9ojclEolGTH9o+wKaWKMciHoIYAZUP2wuFosFasMyAEDwEQABwJB5b7sdx/E2ZwmCRCJhWVYjpj9+LwHA6GrQdrAAZkDFYrFUKgnDgAAAQ0cABABDU194H6jRP6Q/AAKuUY5L9QKYAWWzWTUMSNd1rxkZAIC9IgACgCGoH72Zy+WCM/onHo+T/gAIvkY5OtVTGVBwym1c102n02oYUP12BAAADIwACAAGq77evlwuFwoFv1e0i23bkUiksdIfhv5gkM47/Sq/l4AR1hDHqB4W6ItCoVAymfR7IbvUarVsNqsux2Ix0zT9XQ8AoCEQAAHAYMXjcdUCEKjRP5ZlxWIx78uGOLMi+gFaXCOOBFqgLzJNMzgtV6VSqVgsqsuJRELXeVcPANgL9g4AgEGJRCKWZcmetfe+MwxDtaSp8p+GOKEi/Wka3bMC0Q6DxqUfNddZ9qLfqxiCBfqi+53FtVotIJs/5nI5wzAMw1DDgLq7u/1eEQAg0AiAAGDvDMPwqmxyuVy1WvV3PYrqR9A0zWv+Cj7Sn0ZE0IPR07gZkNqKy1+u62Yymba2Nk3TTNOMRqMBSaYAAMFEAAQAe6FpWiKRUKN/6kvu/aUGEum63kCjf0h/go+sB2Ov4TIgEUkkEo7jBGEfgFqtlslk1HCiaDRaqVSCsCoAQDDRLQwAe5FIJNTon/qhm75LJpOhUKhR0h9GPgdW9yyt/j+/l4MWFfAjWA/qwJtMJg0jEJ+k1m9KwDAgAMAAeIUAgIHYth0OhyVgo38SiYRpmg2U/vi9BLyJxAfB1FhjoRfoi1RxaEDSllwupwp/1DAgv5cDAAioQLxoAUAw1Y/+yWaztVrN3/Uo0WjUsizSHwweiQ8aRcAPaPW8jeFVg7DvMpmM+ohCDQPyezkAgCAiAAKAvqlPd9XlYrEYhHmfIhKJRKLRKOkP9orQBw0q4Ie1egv0RYZhBKTixnGcTCajLkej0YC0pwEAAoUACAD6Fo1GvdE/uVzO7+WIiJimGY/HSX8wAEIfNIGAH9zqLdAXhcNhr1bUX+Vy2dumIB6P+7sYjImdt3z5pJNOOumkS5eM2ujv16795EknnXTSaT94bLSeAcAY4sMBAOiDYRi2bavL2Ww2CKN/VK+B92XAT5BIf8YScQ+aTwNtDaY2hnccx5vE7KNcLmeaZigUMgyDXeFbQHnT8qVLHxWJX+CM1lPkX3lq6dLnJTK1c7SeAcAYogIIAPrgfXZaKBSCsKWuruupVErTNK/8J8hIf8ZGYIt93vHz6/1eAppBwGPuegv0RbFYTO0Y4C/Xdb3dKmkEwyj6y5cm2bZtv+X7jZHTAtiFVwUA6Ml701yr1YLw8ammaclkUtf1hmj+Iv0ZbQFMfIBR0kB1QCKSSCS6u7ur1aq/y6hUKsViMRKJiEg8Hu/q6vJ3PWhwk8/90Y1zukU/4Og9rnaqpWKxKOWq/xXSAIaAAAgA9qDK5tXlgDR/JRIJwzCCn/4Q/Ywqch+0pkbJgFQjWDKZ7O7u9n3LSBrBMHISh53+ocP8XgSAkUILGADsIWjNX6qtgPSnZQW2zwsYM/pRcwN76Ku3QF+k63oikfB9Y3gawTB8QfgADMCI4/UAAN4UtOavcDhs2zbpT2si9AHqNUQpkKoDisViXv7iFxrBGl96zf233HTXQ89v2Nqtt+0/c96JZ37wA6fMTg7+laG6ffl99//t+dWrVq9at6Wamjx16rRD5p97/lnz2vcsAcjd9c/v/ckzMuWjv/rdRbMl+9It//Wzmx97fuWMr77wi3NEtv3hsx/+9UsSXvC9JZfOFxHnL9/5h+8+JDvXZEVEXv3tJ05aGhN5x7888O+n6Lk/XXLWfzzlysRFP7/p832UDa3/zQUXXrdR5ODP/P7XH95/WH86APYNARAA7BK05i/1SfKbX5L+tAZyn3rnnX6V30tAgDRQBlStVr0d2f1CI1jjqr121yUfvehnj26raya86bc/+/Y3Tvjir274yftnhPb6CDuf+NE/fvTbd73Sc2e6H13+zQM/8J933/jZOaZ3XXXzs0uXLpWDjsu42+793Enn/GpVSUSMD39FRESKrz6zdOnTb+4C5m5/YenSpbvvm3/lqaWviEjbp1wRiR0xufzQ0sdc2f7H73z+8kN7Lmr9jVddu3S5yBEn/4r0B/AJARAA7BKo5i81+Dn4236R/owgoh9grxoiAxKRWCxWrVb9HQitGsFSqZSIRKPRcrns+4BqDMrOez/9zg9cs7EqYo6f/fb584+aaXauevRP97+4c/vj/7Xo5Pz/Lvvv09oGfIRN/71owSUP5ETEmnLsGaccOXNirPLGplWP3PuXNen8+lu/8N6vH/rCT0+0etyr+tJ/LrzoV6ucyUef+c4jZs46ve+PnUInX7506RflmZ+892t3ZmX6Bb+57oKZIh2HhkREJi8894SLH3vMffG22166/NBD9rznmhtvXC4icsx5H529b38yAIaNAAgARILX/BWLxYI/+Jn0Z0SQ+wBDEvwMSBUBJRKJrq4uf4tJaQRrQNUnr/jqNRurIuNP+u4dt142f1fU4+x4/DvvW/Dvj+c3/M/XfvLFU7/7lgFeOR750XceyIlokz90/WPXnzfjzVqf9BPfOunkK5YVX77l9hU/PfHYPe+17bdf+dfczAuv/f2VHz8iIf2bMPfEE0WqNxoiItEZx5x4Yl2z17QPLDzmq489Kc/detu6S795UP39XrzxxudERDvuvI/MGtSfBIBRwBBoAAhc85dlWZFIhPSn6THdGdg3wTwq1lugLwqFQl5hqY9yuZzalaz+lQ7B9fpvvnXVSyLS8fHf/K+X/oiIPv6Ey3932dGaiPvCbbevGeghdqxcuVlE5Jh/+lF9+iMiyeO/dtF8EZFNzz3XKwzMdHZO/9I1vxo4/dmr6QsXHiMi8sxtt23c4xu78p/Qied/eNpwngDAsBAAAUCwmr96nDME8zyH9GeYiH6AYQrmsbHeAn2RSvP9XQY7gjWWzbdc/2BBRA75/Nfe2zOu02Z+8EufOv30008/wNzhDPAYyY9cu27dunUv3/WF3kmLaapESKWCPbz7a19/+97HC+3F9IXnHiMi8tStt2+qu3rljTeuEhHjlPM+uN9wnwLAviMAAtDqAtX8pWma2kJYlf8E8wyH9Gc4iH6AkRLMI2S9BfqieDzue+aiGsHU5SAUJWEAa9euFRHpOOnkI/p4pTjw47++99577/3fS08Y6BzOHDd91qxZsw6cWJ8gVTNbVj928w8/8X/+3O/99jvssI59XHa9WQsXvlVE3L/ddvtm78plN964VkTCp5537oQReA4A+4oPAQC0tKA1f/UY/RNApD/7htAHGA3BnwckIslkcufOnf6+vrAjWIPIrlu3VURk+vTpw32o3IaH7rz9z48vf371mnXrN2x4dXtubyPADzjggOE+qYiIzFq48C3fXPGs+8itt2//4ucniogsu/GmtSJin3neOQOPrwYwyqgAAtDSvM9Ci8Wi781fkUgk4KN/SH/2ASU/wKgK4KGy3gJ9ka7ricSwxqoMH41gDWL7tm0iIjJu3LhhPIrz2l1fe9fBs9/90Yu/9/Prb//z357f0BWaMPttJ33gM9/+1Zfn93u3ZDI5jCetc9DCc98iIs7Dt97ZKSLiPnnjTetFJHb2eWdTgQb4iwAIQOuqb/7K5XL+LsYwjFgsRvrTTIh+gLERwANmvQX6onA4bNu2v8ugEawRTJ0xIyQi8vrrr+/zY1SfuvTUhT95ZEtVbzti0aW/vv3hFzZnCt2bX3r6wVt++Z0LT9h/xBbbv0MXLpwrIrWHbrvrDRH3iRtvelVEUu8/78zYGDw7gAEQAAFoUYFq/vJG/6gvA3gyQ/ozJEQ/wBgL4GGz3gJ9USwW2z1/1ze5XM5xHGFHsOAKz549Q0TklZdf7mNIszjP//6bX//617/+o/u39fsQxTuvvGp1xxRxHwAAIABJREFURcR+xw8ff+aP37/o7HfO3T/mnfKN0budQxcuPFREqn++9a60+8SNf3xVRMYvPO80n0eiAyAAAtCqAtX8FY/HQ6FQkEf/YPCIfgD0KZFI6Lqf771d181kMuqybduh0LB3fMJImz1vXlhECndcc+OO3t/9228u/Y8f//jHV68o9t8h9sqLL+ZFRN724fMP7d3pt379+hFb60DmnnvuoSJSvv+2u+6+cfHrIjLxQ+cv8DkBBUAABKA1WZalmr8cx/G9+cu2bcuyaP5qAhT+eN7x8+v9XgJaTgAPnvUCMgzIawTTNI0ioABKfvAbnztQRHJ3fPdfHujco1rHfe03l1+zUUT0+Se+o/8oZeLEiSIisnnTpp7FPsXV//dLP1k+ouvtt6LoiIULDxKR0pJ/+eJNW0VkyofOO5HJU4D/CIAAtBxN02KxXV3ouVzO3+YvNfrH+zKAJzCkP4NB9AMEQQAPofUW6ItM0/Q9dsnn8+qFz7Is37vS0FP4+Mt+cG5KxF3zqzOO+cAVNz/0/OZ0bsfG5Xf+x8KTv7CkSyQ05+vf/Vh7/w8w7rjjZ4uIrP/Zpz5/44odVRFxizteefrmy99/2FGfv29XXdGqZcuKI7HcLatXd/f9nbcsXDhLRIobN24XkZkfOW/AresBjBH+IQJoObZtqyL8arVaKpV8XImmaWrPDVX+E8BTF9KfvSL6AQIlgAfSHqLRaDgc9nEBjuN428AzDTqAxn/o/97xvdP2D0nlldu/tejdh09JxTtmHHX2N29bVxCtbf73bvjucQMOFD/ikl9/ZbYuUljxy48c2WHHx4+LxztmHrPoO3dsbD/9x9d//QgRkW2/Pn3iAcd+54l9XuXMmTNFRNI3fWj/8ft1JD/4+14zi9567rmzdl+e9dHzjt3npwIwggiAALQWXde9rVi8PXH9Eo/HdV0P7Ogf0p+BEf0AwRTkDEgd8OPxuDf13xeFQqFWq4lIKBSKRBjMGzQdJ/7Lvc/+5YcfPHKS5V1nxKced8HPH33poW8etbf4MHbijx9+6KpPvX2iKSLV3Bs78zVz/NwzL/7t08/f/bXzv/avH5tpiYiTeXXN6/l9XuOBn/nRt47rCIk4hTe278hU+iimPnrhwgPUpbnnnffWfX4mACNJ87f3AcBY6uzs9HsJ/kskEpZliUixWPQ3AAqHw8lkMrCjf0h/Bkb0s1ePfvFjw3yEM796Xf2Xbav6aTQA+uIse9HvJfTrfmdxqVTy5jH7Qr0GiYjrum+88QZnBB0dHX4voTc3t+3l9a92lmJTZx88NdlHu17l9RWPr+sWGT/nXfP26/WyVM1s2bB24xt625QDD56afHPkd7lz7fNr/+60Hzj3kElRTWpbVj66ZqdI++x3HLF/r8HgpdeW/XV9RvT95r1zzvge3yt2rnvp5c5qfOLkaVP3T/YKpl678tjpFz8pcuT3X1p26ex9+QMAMNIIgIAWQgBkmmYqlRIR13V37typdsP1haZp7e3tXvkP6U8DIfoZpBEPgAZANoQ+BTwDSqfT5XLZxzUkk0nVjFYoFHzfD8F3gQyAGtva//O22ZcuE+2Y/1z/5MUz/F4NABERYRg7gBbijVvO5/M+pj8S7OYv0p8BkP4EU5+/tKRC0I+aG+QMKB6P79y508fPYnO5nAqAbNsuFouqKQwYGc6z1/x2mYjo88/78Ay/FwNgN2YAAWgVkUhEbf1eq9XUJrh+CYfDgd33nfSnP0z8aThdh6bq//N7OfBHoA6w9dSu8P7OYK7VaoVCQV1mGjRGVHXtVf/0szUiYi34xw9P9ns1ADxUAAFoCZqmeTvv+rv1u6Zp9e+zA3tyAg+5T3Ooz4AoDkIQLNAXqWFAPjaC5fN5y7J0XTdNMxwO+9uShmaw+spTz/19Z2HtyvXdNRGZ8olvfXw/v9cE4E0EQABaQjQaVVu/VyoVf9/g0vzVWEh/mhJhUEuhEWwAruvm83n1sUQsFqtUKowHxbDU0q+98PRqdTl53OU3/8eJe9u0DMBYIgAC0Pzqt7n1d84lzV8NhOinRRAGtYLAZkCqCCgej/u4I1ixWFQt0uq10msKA/bF9HN/8NPaA89tixw4f9GFHz12P042gWDh3ySA5heLxTRNE5FCoVCtVv1aRpCbv0h/eiD9aU2EQU0s4BmQv41guVxObZEZjUZLpZK/mySgsSUOO+cr3z3H71UA6A9DoAE0OTXXQHYXuvu4kvrmL9KfICP9gdTNkPZ7IRgxgTrw9hCPx9UHFb7wmqPr5+UBAJoPARCAJucV3fg7+7lH81dwcH5bj62+0BtJUDMJZgYUhB3BvJdIb8dMAEDzIQAC0Mxs2w6FQuL31u9Bbv6Ch+gHAyMJwuhZoC+yLEvVq/qi/lUyFov5tQwAwKgiAALQtOpL2bPZrI8rofkr4Cj8GQ3v+Pn1fi9htBADNbRAHYR78LcRLJ/Pq+k/pmlaluXXMgAAo4cACEDT8mY/l8vlSqXi1zJo/go4oh/sGwqCGlcwMyDVCOZj9Y3rut5Gmd4LKACgmRAAAWhOAdn6PbDNX5y1KqQ/GD5ioEYUnKNxvQX6okgk4mMjWKlUUntl6rpu27ZfywAAjBICIADNyYtdCoVCrVbzcRle81dwcLIqtH1hpFEQ1HCCmQGJ341gXse0bdu6zpkCADQVDusAmpBpmqZpiojjOD5u/d6j+SuwJxstiOgHo4cYCMPheyNYtVotlUoiomkaRUAA0GTY5REYCeXtKx5Y8sjKV3a642bMmXP4MSccOWUw75nKT//28tvW9vWd+HGf/tZZB4zAU7Qo7z1roVDwcev3+nfwwUl/ODUl/WkIZ371Or+XMCzqH1rbqm6/F4KB6EfNdZa96PcqelqgL7rfWVwsFlU31tjL5/NqCHQkEikUCmoyNACgCRAAAcPl7lx+7fd/eOuaXVNmnn58yc033H7GxZd9+viJob3cdetLTz733Ka+vtM+vb5qZRhP0YoMw1ADFBzH8XHrd7UDPc1fQUP6g7FEDBR8wcyARCQej3d1dfny1LVarVQqWZalioB8nKMHABhZBEDA8NTW33DZ5be+6iQOO/uChSfOGZdZ+/gd1/5x2b1XXGr84OqLDhtwjqO7des2kciR519y1oE9vmVOnDYiT9GSvK3ffSz/0XXdW4YEpvynxdMfoh/4hRgo4AKYAakiIMuyVDfW2KMICACaEgEQMCzppb+77VVH2/+Mb1524eFREZFpB86d6lzyjZs33HP9knOuOKtjgDvv2LqlIjL50PlHHz1llJ6i9XjlP67r+lj+E41GNU1T5T8BSX9aHOkPfEcMhKGKxWLlctmXTzLqi4AikYiP0/RajeM4vsdthsEZItC0+OcNDEfmiYeXV0QOPu2cw9+s9rBmn33G3Fuufm7VQ4///az3Tej/3tu2bhPRJk2aOHpP0Xq8upt8Pu9X+Y9hGJFIhOav4CD9QXAQAwVTYIuAbNv2K3zxioBs2y4Wi76nEi2iWq2eGTnPxwXcnvktARDQxNgFDBgGd+2qVTWRqUcfPWmP61PHHDNbxF23anVlgHsXtmztFhk/aZI5ak/RagJS/hPA2c+kP0CgsFNYAAXkcP3/2bvv8Ciq9Q/g787WNFIhgdDBSBVpgiCKJXIBkSIRUFBQVPQnCl6xo6hXVC5esXMtVwGpoQWRqoioKFLFkAAKRGkBAiEJSbbv74/BccluNpvszjmzM9/P4+MTtp0TSHZnvvOe93jLFLI47sUuFgERkVgExGUOAAAQXsh3AUJw9ugxKxGlN666giu5UbqZDtiOHTtJ1LS6ZxeeKiSitAYxR75b9vWewyeL3YmNm7do0/26q1vGSmesoQ2hNUro/mM2m41Go9LKfzQL6Q8oGaqBlEaBdUA6nS4mJqasrIzL6N5FQHx31QQAgLBAAAQQgtKyUiKKiov12YurXlwcka000BGbp/DkKSI6vOCJSeXlFw+pdvxAtHBJh8ETJ4/tVl9X5yH27t07e/Zs39tfeumloL6vyORd/lNZWcllDjqdDr2fFQLRjxJYLBadTkdEOp3O9wvpZFL8Qvy/uMxEU+eZiIEgAGlLeIeDQ8Fvle3A0AkIACDSIQACCIHNaiOi2NhYn3tiYmOJiqzWADHE2cJCBxFVuOrffN/Dfdo2b2AqO37gpxWf5/yau+K1mUnvvjY4TVfHIYqLi3/++ec6f1sRSgnlP95bvyP94Qjpj0L4e+sC/xADKYQCi4CIKCYmhteW8CgCAgBQE/QAAghBVFQUETkdTp97HHYHEVnMgdbMN+k5fPjw0VNm/vvhQb07tU5v2LRNt8yx//rP/3WOInv+559uKQ99CO3Q6/Xcy38EQYiKilLU4i+kPwCRRZu/s0qjkPhekilkiXsLcBnd5XLZ7XYiEouAuMwBAADCBRVAACFITEokOlF6wXcVVtmFsr/ur05Kt+F3dfO5VZd848jMBbtXFeXtP0zXdazbED169MjJyanFNxL5pL7LHK9PxsTEiGtbSHnnD9qB9EdRysvLq1veJf5fWg5Gl64O4zdl/lAKBH5FR0fbbDYuH3Dl5eXiJRYUAQEARDpUAAGEoF5Cop7IVVJadVG8p6y0nIiSEpNq/6K6Zs2aElHJseMVdR3CYrGk+1P7yUQGJZT/GAwGs9mM8h++kP4oTdd/f2i1Wq1Wq81ms9lsDofD4XA4nU6n0+lyuVwul/i1eLvdbhcfJj6F99w50+Dvr6IoLcTPFLIEQfDuMccSioAAAFQDARBACHSpqfWJ6GBevuvSOw7k73cRxTdsWO1xkqus8MiRI0dOl/veJTZZjE1LjQ5tCO1QQvcf714nSjhz0ODZI9IfUBlsFc+XEt7JvYlbwuv1PltCMCG1f46KitJ4jR4AQERDAAQQihZduiQSVez8ed8lqcPh7dvPEqXdcH31R4/Cn6teePTRR5+Yu69KsEMle/YUEOlatGgR4hAaodfrxf6UHMt/LBaLwWBQVPmP1iD9AbVCDATepPXOjDmdThQBAQCoAAIggFDoOgwY0ExHxRs/nJP/14IF++HF739RSNTq5ptbS+ektnNHjxw5cuToOdtfz2zTt2+ajs5teO/Dn4ulDMhTdmD5m5/ttFL9m2+/IaF2Q2gV9/IfBW79rrXTRaQ/oHpa+6VWCCW8n3vLFLJMJpO45Jk9FAEBAKgAmkADhETXdMj/Df/xmezDy6c98nuPHpcnlB7cvn3vcau+8aB7B3j13Pkj54XHVxRRytCZ/xuXQURE+oxRj48rmP7ZnrX/un9nmyvbNY5znT9xaH/+iQsec5Mhj4zrZKnlEJrkXf7Dq2lIdHS0IAjK2fpdayeKSH9AI9AcmgsF7gofExMjFuMwJhYBmUwmnU5nsVh4ldwCAEAoEAABhMjcZvTLr8TOfn/p1r2bc/YSkRDT5OrREx7M6lBTr8aojCEvzmq1+L3ZOTv2b9u8n4h0xrhGXYaNnXBHjzTv63t1H0L1vMt/xA2GGNPr9by25gVC+qNeAyfP5T0FhTrfNh4ZkJZlClkb3dkWi4XLNY+Kigqx/ig6OtpqtWI7MPBS+vuPu4/bhbSOfS6vZgeUyhP78orqtbmiCZ91jABAREQ6vHcDhIfzwqnjJ4ttxoS09LR6xqr3VhYeOFTkIGNKq8vTfNbOuyqKTpw8V2lIatw4JTpAe8fAQwShqKioDs9SLL1en5iYSEQej6e4uJhLABQbG2uxWFD+wwXSn4jw/cNj6vAsBECBIQNiTFFFQBvd2W63u7i4mMsxfL169cQMqLy8XGVFQCkpKbynQERkt9sHWu7kOIGVZZ/VqdXUDxMbXvNuoWXs6spPB/p9QPEn/dPG5z7009E3e4Q4RQAIASqAAMLEEJva7LLU6u6NSru8Q1p1d+qjU5q0CuKwI/AQ2iP1obRarRzLf5TT+xnpD4BGYDkYY4paCCYVAXHJX6QioKioKBQBQfAcue+//5Wdqj0WBgBG0AQaACKSIAjcN//y3glFCeU/2oH0B4A0lvlCFbw6MTudTofDQUSCIPBqRw2RxV58+PvPnx88aNouJ++pAAACIACIUGazWTz2tdlsXMp/BEFA+Q8XSH8AJNr5xedOUSl/ppAlXQVhT7rogv3goSb7Z/SKj0lq1WfMy2sLEP8AKAKWgAFARJJaL3Pc/Ev6WlEnBuqG9AegCiwHY0ZRC8GIKDo62mazsV+EZbfbXS6XXq83GAwGg8HpxIk9VMeS3vXmIeKOtSV56zfmlXGeDwCgAggAIpDJZNLr9UTkdDq5HHqi/IcLpD8A1dHImwBI+BYBSZdesA8mBNT8zneyL3rz9nTeswEAQgAEAJFIKjvn1f1HUeU/GjnxQ/oDEJhG3gr44v6GX0V0dDSXTkBS5ZG0HBsAACICAiAAiDB6vd5oNBKR2+222+3sJ6C08h8tQPoDEIzzbeMRA2kHxyIg6fNXp9OhCAgAIIIgAAKACOPd/YfLBrQo/wEAJcPbgqy4v+1X4f2RxBJaQQMARCIEQAAQSbwvNtpsNvYTEC+3KqT8RyOneSj/Aagtjbw58KKcDEgsAuJSgyP14MN+8AAAEQQBEABEEqndgLgLCfsJeDdcUM45gIoh/Yl017w7j/cUNAoZkHZwLwLCKjAAgEiBAAgAIol0lMml/TPKfxhD+hO5rC1t0n+856JdWniX4EU5FwA4FgHZ7Xa3201eW3MCAIDCGXhPAAAgWEaj0WAwEJHL5XI4HOwnEBUVhfIfZpD+KB/CHeU73zY+Ib+E9yxAdtHR0dLW7Mx4PB6bzSb2ALJYLOXl5YwnAAAAtYUKIACIGN7tn9mPrqjNv1R/YR/pjzJ51/Ug/YkU2BpMJsq5DMCxCMh7FRj2gwcAUD4EQAAQGaTNbj0eD5cACOU/zCD9UQ4kPqqBDEgOivos4LIbl/d+8Fw2pAcAgFpBAAQAkcF78y/2u7+j/Ae0g3viM3DyXC7jqh7eOlQsU8jS6/VcIhi0ggYAiCDoAQQAkYHv+i+U/zCD8h9eUOCjBWgJFHZCl3buXXm8Z3FRdHS0zcb6F9nhcLhcLr1ebzAYjEYjlw59oADxl/Xq2/ecqU1yNffHNL+qb9+0+q3rMZ0VAFSFAAgAIoDZbBYEgYgcDofT6WQ8Oq/eCn6p+xo+0h/GEPpoEDIgtcoUsja6s81mM/sMyGq1xsTEEJHFYkEApFUdHln2zSMB7m9+95xv7mY2GwCoDpaAAUAE4Fv+YzabdTqduP6Lb/kP0h8IC/T00Th1v5Owp6iyUC6dgKxWq7g0W7paAwAAyoT3aABQOr1ebzQaicjtdrO/sEnoawAqgtwHRMiAVClTyDIYDAYD6wJ/cT948Wt8YgIAKBkCIABQOul6JpfyH5PJpNfrldD+Wd0nbCj/kRVKfsCXut9SGEMREFpBAwBEBARAAKBo3jvL8mr/LH2tqEN8NUH6IxPkPhAYMiD1yRSyTCYT+3VYLpdL7P4jCILJZGI8OgAABAkBEAAomth/h4hsNpvb7WY8urj6DOU/skL6IwfkPhAkFb+3MKacKwTeF05Yki7SoAgIAECxEAABgKLxLf/xPopVzsG9miD9CTtEP1BbyIDUh8sqMJvNJraCNplM4pUbAABQGgRAAKBcgiBI7Z/Z7yyr0+ksFgvKfyBSIPqBOsObTFgo5DpBppDFax2W1AqaSwkSAADUCAEQACiXdARpt9u5jC5dw1TIYb3KoPwnXBD9QOiQAakMl3VYCIAAABQOARAAKJd0AVPLu7+r9awM6U9YRET0023Nx7ynAEFR67sNSwq5WiC2gtbr9YzHdTgcYrc+o9HIvhE1AADUCG/NAKBQfNd/GY1Gg8Egrv9SyAE9gLeIiH4AgCMulzGkil0UAQEAKBACIABQKOnYEeU/6oPyn1Ag+gH5qPU9hyWFXDPIFLIsFgv7ZsxYBQYAoGQG3hMAAPCPYwAkCILZbFZC+2dVQvpTZ8h9gIHzbeMT8kt4zwLCQNwPnvEemg6Hw+Vy6fV6g8Gg1+tdLhfL0VVAp9OtLPuM4wSwdg9A3RAAAYASiceORORyuZxOJ+PRFbL7Oy7FgzekP8AMMqAQCV3auXfl8Z4FEZHFYmEcABGR3W4X96E3mUyVlZWMR490RqNRXP8OACAHRLwAoERY/6VWKP+pA02t+Ro4eS7vKQARAmhVyBSyDAYD+zQBq8AAABQLFUAAoEQcAyCz2SwIAvf2z6o8+0L6U1vayX1AgVAHFApFFQEx3kjB6XRiFVideTwecSc1jtjvHwcAzCAAAgDFEQ8Z6a+DSMaji+U/G93ZZWVlw6+fyXh0AAnSH+AOGVBE2+BaQkRms7m8vJxxpmCz2aKjo8XRKyoqWA4d6RwOx6Ber3CcwPJvn4iJieE4AQCQFQIgAFAcjuU/er1e2nveZrPNXzeRiO78xzuMp4HyH41D9AOgAryKgBae/kD8wmaziZc0LBYL4xQGARAAgDIhAAIAxTGZTOIXdrud8dBi30oi8u6aKcZAxCMJUg2kP8FD+gOKgiKgCCJFPyKr1corABI3cBDreQ0GA/vNHAAAwC8EQACgLEajkdf6L3HHXPFrv9um8CoIAo1A9APKhAyoztgUAVXJfSROp9PhcBiNRkEQTCYT42sqNptN3M3TbDYjAAIAUAgEQACgLBzXfxmNRp1OR0R2uz1AuwS5C4LUt/4L5T/BQPoDSoYMSJmqi34kNptNXNfMJQASW8mITYhYDg0AANVBAAQAyiKt/+Ky/1ethkZBUDCQ/gQD6Q+AWslRBFRj7iMRUxixvrW8vNzj8YR3JgG43W6p/shoNDLeiQwAAPxCAAQACiIeKRKRw+FgvGWJTqcTsyePx1Ory6ThLQhSX/kP1AjpD0QEFAEpQfDRj8jj8TgcDpPJpNPpjEYj4yIgu90u1h+ZzWYEQAAASoAACAAUhOP6L/H4mIjsdnvdrpGiIMgXyn8CQ/QDkQUZEC+1zX282Ww28fKG2WzmtQpMqu0FAAC+EAABgIJwDIDCNXQoBUEo/9EUpD8QiZAB1UEoq8BCiX5E4lUNscpVp9NhFRgAgJYhAAIApQi9BqfOxNp4+qtaPiyviYIglP8EoLX0p9uaj3cMGM97FgARI/TcRyKuazabzWIGxPj6itSFGqvAAACUAAEQACgF3/bPYvZks9nCmz3JvWUYRBytRT+gPigCqoPgi4DCGP1IbDabWOVqNpvZB0CxsbHi0BcuXGA5NAAA+EIABABKIQVAjJsUEJOlZzUWBKls/RfKf/xC+gPqgAwo7OTIfSQcV4GJdbVGo1Gn0xkMBqfTyWxoAADwhQAIABTBYDCI+385nU7G67/E3gT0V7cCWcfSSEEQ0h+/kP6AmiADqi2/RUCy5j7ebDabxWIhIrPZbLVa2QwqkvYCM5lMCIAAAPgSeE8AAICISDw6JK7lPyyHnr9uohQGkerKf8AX0p8glbTSSf/xnguAjBae/oBZ+kNe9a3SRx4z0pUV6YMeVMt29Ou3Hx1+c+8rWqXGWqKT01t17DP8sTeX5573fegPExvqdLqocV9Wud36W85r9w/o2jItPio6qXnH3v3veXXDn/gABQgbVAABgCJwXP/FsfeQlAENnDyX8dDywXm7L6Q/Qbrm3Xnef6zuZyn+ENMiQagOioDqgGXo483hcLjdbrHiVRAEt9vNbGin0ykNzXgBGrDk2Pf+kH6T1xy3E5EhtkGjtMTSwoLcE4dzv1/27psDZixbNKl7XE2vcX7D5D5DZuVWEpEhvkkT85m8rX/kbl23+LOHlmx9b2Cy/N8EgPqhAggA+BNbAxCRx+NhXB/Ocv1XAF++edeXb97Fa3SQFdKfsEOVEESi+esm8kp/RNL1FRQBQfiVbZ409JE1xx3p/aZm7ymylp36o+B4cWVl4Y4Fz/2jqevomslDH/ryXA2vUb560qhZuZWU0n/GNwXnzv55+GRZ0c6PxrQzVxx8f9z92aeYfCMAaocKIADgT7wqSCpt/xw8KQOK3IIgnJBXgfRHbt4/cqgMYg9FQDXyXu3Ll3cboMrKSpZDi/vQE5HJZGL/QQ8M2NbP/vg3F2X8c2XOS92kgFFnSu066uWcjsZeXV7Y+flT7zw18IX21b9G0YJ3Fp4jav/EmmVTukcREZGQ2GX8ZyvO7O/wzPblby86nvVouuzfCYDaoQIIAPiTLgmyr8FRVAAkQUGQOiD9YQyVQVyghVl1qvR6487hcLhcLiIyGAx6vZ7x0OIXqABSq73bt9uJ6l1zYzff8jJThzuzOhFR7u7dAQ/ycnfutBO1GzH2YvpzkZAxfGhHItq9Ywe7hYsA6oUKIADgj1cDIL1eLy49c7lcCtyaJOIKgnDW7Q3pD1/iTyNqgoA9RYU+Vdjt9qioKCIymUwsi4DcbrfT6RSDJ71eL+ZQoCZicVnptm/32Ppf6ZMBtZq0qWi8nYwxgc487cW2qMaNG3dv37LqPeK1Oid+bADCAQEQAHAmCIJ4KdLlcrFsS0lKLf/xFXFJECD9UQgplEQSJCssBBMpOfoR2Ww2MQBivwrM4XCIV1yMRiMCIPVpO2hwxst5B/e93rdbweR/3ps16Lp2yaa/7zbHJdfYeMo09NOjQ/3dcSwnZyeRrlPnK7F0BSB0CIAAgDOO+39FSgAkEZMgZcZAKP+RIP1RICRBctNyBqT83EfidDpdLpdY/cq4Ese7+MhqtTIbF9gwdHtu8XsHhk5aXpC7eNq4xdN00Y069b6+b9/rr7++b59urRLrvPSv7OeXRz27xU7xt025z6c0CABqDwEQAHDGqwGQ1ARBPCBmOXSIUBCkZEh/FA5LwyCMIij6kdhstujoaCIym80VFRXMxnU4HB6PR6fTYTN4lYq+8sFl+bduy1mwaMW6rzf/mHtiz8b5ezbOn0VkSL5iwOiJzz4//qqkWr2i/c+NMx+Z8GLOYbupzcSl/x2eINPMAbQFARAAcCa5GXJCAAAgAElEQVRWAHk8HsYBEMfKo3BRTkEQyn9ESH8iBWIgOWinCCgScx+JFACZTCaWARARORwOk8mk0+kMBgP7PR+AAUt6jxFTeoyYQmQv2r9ty+bN33y1bvX6nwr2rnrrvnU5W+Z/P3d4cNt4OY6ue33SxFeX/15B5pZDZs798LHeyTLPHUArsJQSAHgyGAziBvBOp5Px9UCp8ihyAyCRuGUYdg3jDulPxMF+YVBbStvYqw5cLpe0F5ggMD0RkD5tpQswoFqmlDZ9hk2Y+s7SH46cOrDqqT7JZC+YN+GpL8trfmrp3s/Gd+/Qf+ry3z0tBj6b/cveFf/sXR/v1ADhggogAOCJVxmOWIVOf21NwnJo+fAqCMIpNCH9iWSoBgojtRYBRXroU4XD4RBXQBuNRpYt8LAZvGqVrn3mzvd/1fd5dsUTPX2OCKJbD3p11Rt7Goxdd3bTpr008OpAr3R6zYN9hs4+aDe3HPyv2W8/ntm0xt7RAFA7CIAAgCdeDYB4jcsAOgSxh/QnGN3WfLxjwHjes6gWYqBwUVkGpLLoR+RwOMRNu00mE8sASCw+EltQC4LAeN9PkFE9z7FNq1dXHO196Imerf09IC41NYrIUcMxl3339IG3zz7oajzsgzVzJ3SMkWeyABqHAAgAuOFYhqOCBkA1YlMQhPIfpD9qghgIRKrMfSTSBx/7ShxexUcgs56ZN8XNW/XLG1PmjFl6d7q+6t1ncuauLSWKufbaLgFepGTJi9N3lJuvnrFhyYS2Pq8BAOGBHkAAwA3HMhwVVwBVgQ5BALWF3kAhOt82nvcU6k4FXX5qJO26IAiCwcD0YjDaAKlU0p2vPNs1iopWjuvY4/4Pv9575PQFJxF5HOUnf/nirXE3jVl4mhIyZ0wfGlv9a5xa+PHqcoq6ZdKDGRerxapwI5oHCANUAAGEg/30nq/Xf7e3oNiT1LxNm47de3VOjwryqY6z+7d+u/WXQyfOVegT0ho3uaz7TX3bxF+Szdp3fPbiit/8PTm25/1PD2oW8vR54VWGo9frpQ3gtVOC/uWbdyUlJV1996wwviZOklH+o2IlrXQoBdKO9TteLCkpUf0lAYnD4RAvhBiNRpYVuGgDpFZChyfX5hQPGvXvbTs/euCmj4jIEBVnclyocHqIiISk7lMWLX4oI1Bdz769e11ElctGxPk/P00Yv674o34yzB1AWxAAAYTKU7x7ziszlh+8uLHBjq3rl85f2f+xqfdf3aCm+lXPqe/fe/ntDX9avW/Mzl55w4QnJ/b9u4K28MDPv/56zN8LJDZluoNruKEBEEtms1kQhG3zHnM4HCUlJegQFDqkP6qHFWF1FkGdgJZ/+0RMTAwRWSwW7Xwo2O12aTP4yspKZuOKxUdGo1EsPlLNJgxARPUzX/vxt1GLZ3+ydM3X2w+eOFNsNae2zmjWvFXnfvdOeqB/6wDFP0REJUeOFLOZKIC2IQACCI3r8PypLy7/0x3XfvDY265rk1T229acOUt2rX3tGcP09+9rH6jC2VOw5JX/bPjTKaReNWJU/+7tmkaVHtm+eu6CzQWb3v53arM3RrUQIyBPYeEpIkvn0U8MalnlJYwNmsj2ncmNYxmOFhoA+RJbfhKR1WqlcHQI0nj5D9KfILVvfiLIR17z7jxZZ1JnKAVSJWmdl9VqjY6O1ul0ZrO5vLxcI2WhTqfT4/HodDqDwaDT6Twedj/hvIqPgAFdYqeRT7898ulgHtv7nZOed7z+HH/vWs+9Ms0LAP6GAAggJKWbP1/xp1vXsP9TU+/tGE1E1KRlu8buJ55cemTNvPVDXxuUUu1T7dtXripwUnz3//vX05mpeiKitPrpj7VvIjz84qbDSz7/dvDUG6KJiM4WnnQQNWrbu1u3dCbfFBvcGwB5PB7tHHrq9Xqp37Z3301sGQZhFHzWE3FQClQHyiwC8u3v4/F4bDabGJGbzWaW5TB82e12s9ks7sbA8nIIr+IjAAAgNIEGCE3Zj1t2O4ha9xsqpj9ERGTOGNy/nY5c+d9uPRPguYd/2VNGlHx91k2p3kvFYroOur4RkevgwUMXbzlVeIpIl5bWQI7vgB8pAGJchmM0GnU6HRE5HA6W1zz5koqeqtt1BY2iawXlP5L2zU9I//Gei+w0XvUW6QJ0dxbrIonIbDYznBFnvNrxiMVHRMS4/zQAABAqgABC4vktP99F1Lhbt7RLbo/v3j2Dfj3we/5+x631qzmuchUVFRNR06bNqp5RJCUnEZ0oLT7nItITVZ4sLCFKSUtTWb9E6ciP1wbw2un1QF5nNYG33Q2+IEjLZ8JIf7SQ9VQHpUC1ooQioGC29HI6nS6XS6/XGwwGvV7vcrkYTIw77w25ysvLWQ7tdDrFizHa+dsGAFAIBEAAITh79JiViNIbV12aldwo3UwHbMeOnSRq6v+5QpcH/vvhOLIkVN0uzLo//wgRpaVf7AJdeKqQiNIaxBz5btnXew6fLHYnNm7eok33665uGRux5+DiYR8RuVwuxmU4vCqPOBLPaojI5XIFGbeF3iFIrbSc/mg596kCXYEiQq12c7fb7VFRUURkNpsrKiJ6f4Vgud1uMfbS6/WCILBsfuTdBggBEAAASwiAAEJQWlZKRFFxsT7bfdWLiyOylZaVVftcXXRSWrTvzWW/zJn7fTkJrf6R2ZqIiDyFJ08R0eEFT0wqL794wrHjB6KFSzoMnjh5bLf6fkKgvLy8uXP9nLo//vjjwXxbDEgpDOPyH3HbESJyuVzaOegMsvzHV3UFQVou/9GgMOY+4l5LOp1OXIYp9qAVI+CIW4+JDChI7IuAapX7SGw2mxgAmUwmjQRA5BV7mUwmaR0cA9JHP1aBAQAwhrddgBDYrDYiio313dkyJjaWqMhqrU13Q3dJ/urZb875odAd1e6uiQMbireeLSx0EFGFq/7N9z3cp23zBqay4wd+WvF5zq+5K16bmfTua4PTfE7Gz5w589VXX/mOoJwASDrmwwbwDNQ5AJKgIEiktfKfsJf8iKeaqoEMSGnqFv2ItLkKzOFwiL+VRqMRARAAgBbgbRcgBFFRUUTFTodvEYvD7iAii9kS3Au5i/etmfPh/G+OlHsM9a8aO2XysJbSBvJNeg4ffoWlRd/BfZpePI1v2LRN1y6Npz309u78zz/dctPT18WE45thim8DoEwha9n5T1iOy5F4MkN/nd6E8lJSQZBit+uWlXbSHyz1Ch4yoGDIXQQUSu7jzWazibtTaWcVmMPhyBSyiGiDawnLcd1ut9vtFmtyGW9CDwCgcQiAAEKQmJRIdKL0gu9Cr7ILZX/dXxPr0c2fzfrv2t/KPfrEdgPvfmDMDS28l4aldBt+VzefJ+mSbxyZuWD3qqK8/Yfpuo5V7u3Ro0dOTk6tvhXGpACI8VVWqQLotoR7xS+ELu3CdfKgTKGX//j6/uEx4hfaTIJUTO7op6ysTOwz4n2+Jy4HE/8fidAWmqPwvntrJwAa1eDBKrfodDqDwcDykozT6RQvyej1esaXggAAtAwBEEAI6iUk6olcJaUVRJf08/GUlZYTUVJiUuAXcBVu/s/z735XaNenXJl1731ZvZsEWTJEpGvWrClRUcmx4xXUsUozIYvFkp5etTE1ERUVFQX78nISBEEQBPLaC5YNg8EgCIJ4tdPbnf94R/pafWGQFADJ0fRaTIK0EAOpvvyHTdVPGFNIpUEpUGDhLQKS6Y1abJMvVk0yTkMY8P6k88tkMnEJgIxGo8r+qgEAlAwBEEAIdKmp9YkKD+blu27q6t0I+kD+fhdRfMOGARtelOx474W3viukRtf+35MP9WvhpyU0ucoK/yyqpJgGLRpUXeclXp+MTUv19zxF49UBWho3AJWFQUajUczaHA6HfMVWqi8IUnf6gwVf4YIMiAG535ZtNptYoGo2m1WQStQY+ngL5iMyjKROfGgDBADAEt5zAULRokuXxGVrinf+vM/T9Yq/FzAc3r79LFHaDde3C/Bc168L3/vqpCvluqdff+zq+GpWPwh/rnrh6dXnk/q/+smD7S/Za6xkz54CIl2LFi3C8H2wxb0DdJBUEAbJsf4rAO0UBKkD++jn7ryX5rR7nvGgLCEDCiCUIiBm78A2m03cq85sNpeXl7MZNOxqlfuIMoWsje5slu140AcaAIALvOcChELXYcCAZmvn/7Hxwzl9Z45tayEish9e/P4XhUStbr65tRTr2M4dPVHiJEN8oyZJ4im5dduab86SruPt46tNf4hI16Zv37QvVxZueO/Drq/cf1WimAF5yg6sePOznVaq3+/2GxJk/Q7lwKsDtO9RptAlUETnLULDILHAnuRZ/1UdlRUEqbX8B4U/MkEGFF6M32/dbrfD4RBrJ41GYwTtF1mH0McXy3Y8Ho9H3HZNr9ejDzQAADN4wwUIkW3/vCefyT7sjEq7okePyxNKD27fvvf4BaHxoJdn3tdBWp118NN7Hl9RRClDZ/5vXAYREe3/39gnVp4zJDXPSPO7hsvS/Z5pt2UQUeXBla9O/2zPObe5QZsr2zWOc50/cWh//okLHnOTIc/9+55OtVgBppAeQMnJyeLR3tmzZ5kNKghCUlJSlQZAwQdA1VFyGGQymerVq0dEDoejpETGLXgCi+gYSJXpD9/oJ0AFUET/qFSBDKg6QRYBcXxrtVgssbGxRGS1Wi9cuMBrGsEIJfRx78qrcstGd/aFCxdYbgYfFxcnlqmWlJQoIWtLSUnhPQUAANmhAgggROY2o19+JXb2+0u37t2cs5eIhJgmV4+e8GBWh4DJjL2wsJiInOcK8s75fUBM44vHnVEZQ16c1Wrxe7Nzduzftnk/EemMcY26DBs74Y4eaSa/z1Uy8VofKaD8Jyyk428FJkFS+Q/fzrsqKwiKdCj8YQN1QHXG/b1UqpeU3kIVJSyVPtUxGo0sAyCn0ykGQAaDQQkBEACAFqACCCBMnBdOHT9ZbDMmpKWn1fPpNVNZeOBQkYOMKa0uT4siInKePbz/ZKBdZvWJzdumx3rf4qooOnHyXKUhqXHjlGh9dc8LRAkVQGazOS4ujogqKytZdliIiYmJiooKewWQX9xPYERJSUliB+izZ88q560+gmIglZX/KCT60UgFkAgZkK/qKoAU8rYpio+PF3vGKaQyRY7Qx28FkMvlKi4uDvtY1TEYDAkJCURkt9tLS0uZjVsdhVQAeTwevh/ZOp1OvFAHAKqEAAhAQ5QQAMXGxlosFiIqKytjWZkiHtB7B0AypT9V8DqrkQ6s+a7/CkD5Z/tqCoAUkv5Q9QGQ8n8e6gYZkK8qGZCioh9RVFSU2Aq6oqJC3HCTPVkrfchfAEREG93ZLC8Y6HS65ORkInK73efO+a+GZkkhAZDdbu9z77scJ7Bp9gPizz8AqBKWgAEAU7y2ADMYDFXKf9jg1T1a2vJMCZev/VL4lmFIfyAssBasOgrMfSR2u108ATaZTCwDILlDH29Cl3Z+MyCWq7E8Ho/T6TQYDIIgCILgdrvZjAsAoGUIgACAKb1eT0Rut5vloZ7UeIgvlmEQl/2/6kCZHYJUk/4g+lECZEBVKDn6EblcLrfbLQiCmE3I+mnFMvQJBuN2PGIAJI6r8E8rAAB1QAAEAOwYDAY1dYAOhaxhkE6nE79lt9vN+K+6zhReEBSJkP6Aonz55l28p1ALdrtdXK1sNBrDvlpZaaGPN6PRWFlZyWw46RMKARAAABuKOykCABWTghjGqYS0HkrCpgFQkMIeBhmNRjFoU+z6r+oooSBIHeU/SH8URctFQJGV+0gcDkd4AyAlhz6STCFrvXMxyxGlDynfj2kAAJADAiAAYEc6wkMFUHXCEgZFyvqvAFAQFAqkPwqkwQwoQqMfUbg2g1dy7uO3DRDjdjwul8vj8UhVqwAAIDe82wIAO7w6QOv1ei4doENU5zBI+R2gg8S+IEgF5T9IfxRLIxlQROc+Eu/+xHq93uVyBf9cJYc+wWC8GsvpdIpVq7X9ewYAgDpAAAQAjIiHd/TXFT9m40qNhyJa8GGQXq8X/56dTqdqNlVBQVCQkP4AR+qIfiR2u128aGEymWpsixPpoY83LgGQOC4CIAAAuSEAAgBGxFSCiBgf4amvsFw60/CbBKmm/MeX3AVBEV3+g+gnIqiyCEhluY9EegutLgBSU+jjjXE7HmlJuHSQAAAA8lHbeREAKJZyAiBFdYAOhXj6cb5tPHmdg6mgAVCNUBBUBdKfCKKmDEit0Y/I4XBI7Wl0Op1YuKrW0EeSKWRtcC1hOaJ0SIAACACAAQRAAMAIrwBII3uLDJw8V/p627zHxAYWHOfDQHgLgiK3/AfpT8SJ9AxI3bmPN7vdbjabe971pvjHhPwSvvMJO799oBm345GWKiMAAgBgAAEQADAiCIL4BcsASDyQjcQO0EESy3+q6DHmP9LXWjhV2/XEA9HR0W2mvcl7IlCzu/NemtPued6zgDraNu8xl8tVXFzMeyKy847UNYhlOx632y1WWiEAAgBgAAEQADDCpQJIfQ2Aasv7NEatYZDFYiGi/dMmFxcXu1yuOhQEofwHGIusIiDxrSMxMZGI9Hq90WhUX4sxCiL0Od82Xn1FQH4ZDAabjd27osvlEtfZsdyBHgBAm7R+agQAzIgBkMfjYXl4hwDImyrDIJPJJBaXORwOMVtkv3k8L0h/IlpEZEDebxSVlZWxsbFEZDabVRMAabzSpzqMPzrFAIiIEABFPNvRr/8784PVOw4e+v3w8TJzcsNGLTtnDrvjnnHDOiRUeegPExte826hZezqyk8H+n0t+5f3tRy55c5NB17vLv/EAbQDp0YAwIJ4ZY8U0AEaRKoJg8xms/iF7/VqdfeKRvoD8vH7niD1lTebzRcuXGA7ozBD7hMY+wBI/EKv16u+e52KOfa9P6Tf5DXH7URkiG3QKC2xtLAg98Th3O+XvfvmgBnLFk3qHleLlyte8fHi4xfi7UgEAcILp0YAwAKvDtC+PQVUswUYVdMAqA4iNwzS6XTirmcej6e6BQs1FgRF4vovpD/qoMAioADvAG632263m0wm8fcu4vYZROgTpEwha6M7m2UxDjYCU4OyzZOGPrLmuDu939RZrz86tFOynog89lO7lr373FPT162ZPPShy/bOG5gU1ItVFGz6z/0PrywjCs9hDgD8DQEQALAgHdUxru5WdwdoOURWGGQ0GnU6Hf21YXPgB6umIEh96Y8K/lHqTCEZUJC/7DabTYxczWZzRARAYQ991NcGyO9GYESk1+sRAEHwbOtnf/ybizL+uTLnpW7mv27VmVK7jno5p6OxV5cXdn7+1DtPDXyhfcCXObZ08kPvfLNnd+7RMqaXCwE0BAEQALDApQJIEAQxHYC6kc6dFJsEBVj/VZ0qBUGRWP4DEEa1+u222+3ihk1iHVCNqSsXqPQJC71ez6zTEwIgFdi7fbudqN41N/6d/khMHe7M6vTCzh25u3c7qL0x0Mucz//hx7zjZE5MMTsris9XIAUCCDsEQADAApcACIeS4aLMsiDv9V91KEYQk6Buaz4O/8zkpL7yH/IXw1kO+55DqBaXIqC6/SJ7PB6HwyGtAmO5UVRgCH3CjuUHqMfjwU7wkU7cjrN027d7bP2v9Hn/bjVpU9F4Oxljajrz7DD15zNTxS/3vdi2w7T94Z8pgNYhAAIAFsQO0MS8AojZWNqhnDBIPAulv6oS6vYiOwaMF7+IiCRIlemPXxqPhGQV4q+ttAqMewCE0EdWjLMY7AQf6doOGpzxct7Bfa/37VYw+Z/3Zg26rl2y6e+7zXHJeAsHUAYEQADAApc94NV9LTFcHaBDwTcMqsP6rwDEJEjJMZB20h+/xEhIrTEQgyKgcP2G8l0FhtCHGS4BELHtPQRhZOj23OL3DgydtLwgd/G0cYun6aIbdep9fd++119/fd8+3VolBlz4BQAMIQACANnx2gNe3VuAKQ3jMMh7/VcYG1VEVkGQBqk7BpJJeH8fxRWXZrOZ2SowpYU+6usD7StTyNrgWsJyROnwAKW7ESv6ygeX5d+6LWfBohXrvt78Y+6JPRvn79k4fxaRIfmKAaMnPvv8+KuC2wMMAOSEAAgAZMdxD3hsAcYFgzBITH+IyGazyVGDoLSCoEgv/8lquDOMryYtEFNTEhT2IiD5clibzSbW35nNZpkCIKWFPurmdyMwxqux0AdaHSzpPUZM6TFiCpG9aP+2LZs3f/PVutXrfyrYu+qt+9blbJn//dzh6bznCKB1CIAAQHYc94BnORz4JVMYJAVAsu5FrZCCoIhLf8Ib9wSAgiC/5C7Bczgc4iowozGcyzoQ+igNdoKHujOltOkzrE2fYROmvlPx+xcv3zPute8K5k14akT/eQNjeM8NQNsQAAGA7LAHPIjCGAZJZ55sNipWWkGQMjHLfapQTQwUYhEQsz5c3nuBGY3GEH8HkfsoFnaCh2CVrn3mzvd/1fd5dsUTPX2OvKJbD3p11Rt7Goxdd3bTpr008GoeMwSAvyAAAgDZYQ/4sFNCB+gQhRIGGQwGsU+EWIkQ5plVj0tBUESU//CKfrxZW9pUkAHVAZfN+MQAiIjqFgAh9IkI2AkeglXPc2zT6tUVR3sfeqJna38PiEtNjSJyMEsUAaBaCIAAQHYIgCCw2oZBjMt/fKEgSKKE6EeiglKgWhUBcYl+RHa7PSYmhohMJlNFRUUwT1FT6KOFPtCEneChFnpm3hQ3b9Uvb0yZM2bp3ek+PzhncuauLSWKufbaLjxmBwBeEAABgOzEYg3ue8BjC7CIIJ0lBji5ZdMAqEYMCoIUW/4TSu6zunjwLYk5YZxMFaovBeKY+0hcLpfb7RYEQTxjr64QT02hjwZhJ3gIWtKdrzz71sandq4c17HHD6+9/nBmx5ZNGsQaPI7ywrxNS2Y998zC05SQOWP60FjeMwXQPARAACAvXnvAYyvZSFddWZBOpxNPEtxut9Pp5DAzHzIVBKky/WEjokuBAhQBKSH6kdjtdovFQkRVNoNH6KMOHHeCZ9l7CMJF6PDk2pziQaP+vW3nRw/c9BERGaLiTI4LFU4PEZGQ1H3KosUPZaA2G4A7BEAAIC+Oe8CzHA5kJZ5SlrTSEdHPj90rtvdW2hmCQrYMk5Xyox9vqikFUlTuI3E4HGIAZDQab3roI97TgZAoaid4XL+JUPUzX/vxt1GLZ3+ydM3X2w+eOFNsNae2zmjWvFXnfvdOeqB/axT/ACgCAiAAkJd0JMd+D/hMIYvliMyooAN0KK76zyfS198/PIbjTKoTloIgBZb/RFb6I4rQDEgqAlJm9CNC6KMFLFdjSQMhAIpcusROI59+e+TTwTy29zsnPe8EuL/9C/meF8I0LwD4GwIgAJAXlwAIe8BrxDXvzpO+VloYpLKCoEhMf0SRmAEp7YdZguVdWsNyNRYCIAAABhAAAYC8pCCG5XbdWP+lQYoNgyI9CZI7+mHw1xJBGZCifnRFCH38wkZgYYcACACAAQRAoHLWUwcOFFotaZdfnmoJ+EDX2UO5xy7oEltc0bQeo7lpBJcKIARA6iM2AAqSMsOg4JeGKWf9V+QW/lSh8AxIOT+lEuQ+QGw/TKWrRCjgBQCQDwIgULlDs4dfOS23w7TcX19oH/CB7nWPdx690nPr3PKcMdGMJqcNXCqAcP0QJEoLgyKoIEg16Y9ImRmQEn4mJQh9oArGH6Zut1sQBHyCAwDIBwEQgMhaWUlEdPJkIVFL3pNRFV49gKre0qUds9FBsRQVBlVXEKSQ8h+VpT8i5WRA3H/8JN6/FJpuLw/+MM5ixAtFqAACAJAPAiBQH+vXr4yZvefiH0ry/iSiP5dMzsoNcGTrtp/N37LZQ0T16mEBWJhxCYBw+Ag1ks57+Z6KK7MgSJXpj4h7BqSE6Mc79AGoTqaQtdGdzXJEt9stLjpjuf08AICmIAAC9XEVfL906bpLbirN27g0L4in6rv1z0yRZ1bahSVgELpaNQCqLYWUBYlJ0N15L/GagETF6Y+ISwbEPfdB6AOBCV3auXf5OVTS6XTMPr6lgRAAAQDIBAEQqI+Q2v6aay5c/EP5n7t2/1kR3bRzl6YxAZ+ls6RcdsMDL05qJf8ENUbMYhgfyam4Auh8W6zSkBH3MGhOu+fFL3glQapPf9jjGP3UNvQpaaWLP8QuqYeIIAiCy+ViM5Z0qKDiD3EAAL4QAIH6RN0y87tb/vrDvhc7dpiW2/Keed/V0AQa5CIexrEs/yEiQRAyhSyWI4L68A2DxCSIcQyknfSHQRHQDxPvYvy+J0KlDzMa2QmeZRaDneABAOSGAAhUzpTSok0bZ4sUE++JaBSXBkCEY0cINy5hkCAIX177NhF5PJ5bvnuUzaDaIV8GtH/aZCK6cOGC1WqV4/V9IfQB+bD8PMVO8AAAckMABCp32f+tyv8/3pPQMHSABvVhFgaZzRfjCZvNxqAgSDvlPzIRfxiMRqP4R7PZLGsAhNAH2EAFEACAmiAAAi1xO2yOGmIIncFk0iM+CBt0gAZ1kzUMkgIgKUeQr0MQ4/RndfHgWxJzWI7oV7iKgLz/6R0Oh9vtFgTBaDSGvZEtg9AHbYCgClQAAQCoCQIg0ALb70uf/+fMlT/+8tsZaw3HtR2m5f6KbkHhgwogCJ2sW4CFUXjDIL1ebzAYiMjtdjudzir3hrcgSMu1P6FkQNX9K9tstqioKCIym82VlZV1n9xfUOwDHLEMgFABREQmk2nbvMd4zwIAVAsBEKie58DbN3d/dEsZ73loEyqAQJtCD4O8139V9xjuW4ZpU43/oGEJgBD6gEJgCRgAgJogAAK1O7fkqee3lBGRLuHKYXfdenVGw1hDgGOZxG6NmE1NC7hUAOHAERSlbmGQyXSxdX2AAEgSSkGQlst/RMEXAQX5z+d0Ol0ul1jDVatVYAh9QIGwBIw9LhsIetP43z+AuiEAApVz/7BmXZDgYisAACAASURBVAkRJQ35dM/Su5voec9Ha7hUAPkeuAhd2jEbHSAA6Qw/cJQgCIK4/svlcvmu/6oOCoJkUocaLrvdLhYBmUymwK2gEfqAwrHMAjwej8fj0el0Wr6QY7fbr5j+HscJ7Jxyf0xMDMcJAICsEACByh09eNBKRJdPeAnpDw+oAAqv823jeU8BwiNwWZC0k5TD4ajDiwdfEMS9/Kfbmo/5TkBUXRFQnXs5ORwOMQAyGo2+ARBCH4gUmULWOsciliOKARAqUAAAZIIACFTu9OnTRESXZVzGeybahCbQADUS4wBrSxsR7RgwnrzWf9nt9jq/LAqC6iz0Ht4Oh0M8j5X+KSMo9MFGYOCN8TUVcRM9MQPivhIKAEB9EACByun1eiKiAwcOEl3BezIahCbQALXiXRFTcNdTdasAqqK6giDu5T+KIhYBhR79iDwej9Pp7PjKu2F5NVCs823jE/JLeM8ibIQu7dy78qrcyPiainS0IAiCy+ViOTQAgBYgAAKVu3LgwEavzjrx2/LPtz03o0c07+lojpjFiKv6GQ8K6hApe8CHSCz/qaL53Nekr8XKoFCgICiA0P96JVKEV+fd5QGUpla9zEMkDYRiXgAAOSAAApUTek/77MEv+39wYOZtYy5b+7/xHeNxQMGSeADHuIobR42gPt6VQSGmFVIStLp4cEhzCof2zU8Q0b4CbtsvhiX6UUgnIwCZYCd4AADVQAAEKud2mHq9tm55zOixM5fff+XmD7LG3tarfUbLxklR/ltCx7Ts2bMF9j4IGy4BkCAImUIWyxEBWApXGHRLYg7xiIHuijtDROe8bmnf/ATjDAi5D0DwWK7Gwk7wAACyQgAEKpc//aoO03Iv/sF9bvfi/+xeHOjxHabl/vpCewYT0wIuDYAIR42gJaGHQWIMRKySIDH98cWsFCjE6AehD2gQinEAAFQDARAAqArSH9CsEMMgBgVB1aU/EvlKgULJfRD6AAAAgDogAAKVa3X/oh23WIN/vKVRK/kmAwDAhpRZ1Db4kKkgqMboRxL2DKhu0U/ooY+4rViILwKgBCyvrGAJGACArBAAgcpZGrbv2pD3JLSKyxIwHDJCxPG7BVi41LksKIwFQcGnP6KwLAerQ+6DSh9JSStd/CGmS3cBAACAAQRAAAAAmlCHMCjEgqDaRj/e6lwKVKvoB6EPAAAAaAcCIAAAAM2pbRhUh4KgwOlPkrPXOcPWwK9Qqwwo+NwHoQ9ArWAJGACAaiAAApU7+Fa/frMOBv/4jEnr1z+aId98NAVLwAAighiIiAuv5rR7PsAjgy8ICqX2x1swy8GCiX4Q+gAAyKR47q0N7/7CFj969al5A/23PnNtuD+t30dF5kFzTq+6q554m+3o1/+d+cHqHQcP/X74eJk5uWGjlp0zh91xz7hhHRJ8X8H6W86sf/83+6tdv58s1ae2atu2+y2Tpz12c1O0WgOoHQRAoHKO8ycKCgqCf3zseUddhrGf3vP1+u/2FhR7kpq3adOxe6/O6VFhfm4oQwAABOfuvJekrwOEQQEKgsIV/XjzWwpUY+4jfi8MtpYHANCyxGFjBj74xfKSlQvWVA4c6u/o1PXt0hVFRJaBo4aI6Y9j3/tD+k1ec9xORIbYBo3SEksLC3JPHM79ftm7bw6YsWzRpO5xXs8/v2FynyGzciuJyBDfpIn5TN7WP3K3rlv82UNLtr43MJnB9wigGgiAQOWSe46eNKnQ710e54VTRw7m7d6x90QFEUV3uOf1qQMu79iktkN4infPeWXG8oPl4h93bF2/dP7K/o9Nvf/qBvowPTeUIQAA6qbGMMi3IEiO9EfkXQoUIPrxnjN32AgMoLawBCwixQ4aPSR++YKSnIVfVAy9Pdrnftfm7BVFRDG33HFrPSKiss2Thj6y5rg7vd/UWa8/OrRTsp6IPPZTu5a9+9xT09etmTz0ocv2zhuYdPHp5asnjZqVW0kp/WdkfzChT7M4vbt41/8eHfPwvLz3x93f99dlWakMv1mACKdjuTQDQIkcJ7fMnvLAE/P3W/VNRs7ftnBE7TYNcx3+/NHHlvzpjms/eOxt17VJKvtta86cJbuKdQ0GTX//vvamMDw3lCEuVVRUVKtvLkQGgyEhIYGIbDZbWVkZy0EzhSzvG4Uu7diMLqvzbeN5T4G1klaaOAGQdRew4IkJSzCqqwxKcvaq1YjnDFtrldcEqEgK8Dp8K4AiNwDCLmBBSsgv4T2FcHLvyqtyy0Z3dkVFRUVFBZsJmM3muLg4ImI5qCglJYXlcNWx2+1XTH+P4wR2Trk/Jiamts+yrxuf1v+T4qghi06tGBFX5U731w82umn2qbhRy04vGGYhsi0dWS9rsT3jn9v3zuxW5T3SnvtSry4v7HR0mJb76wvtiYio6KN+6fdvsLd/4uftr3f/u77IffDVnh2e2e64Ztax7x5Nr/X3CaBVqAACzTM2vHbivC/NRV0eWH900QMP33rjslG1OAIo3fz5ij/duob9n5p6b8doIqImLds1dj/x5NIja+atH/raoACvFeRzQxkCACDsqqsMkpo6B5kEBZn+VJf7KKrYBwBAy0yZo29P/eS/p9YuzDk/YvSlLXxcW7KXnyKqN+yOARYiItq7fbudqN41N1ZNf4jI1OHOrE4v7NyRu3u3g9obiYhyd+60E7UbMbb7JavLhIzhQzs+s33X7h073JQuyPatAagMflkAiEjX8v6pY9KIqGTd6u9ctXhi2Y9bdjuIWvcb2vHvgldzxuD+7XTkyv92a6DFEEE+N5QhAADkdXfeS3fnvVSlGdA5w9Yad/gioqyGO7Ma7gzwgDntnq+S/ojDif/VbcIAoGRYmhCp9NeNGdWEyLZ2wfLzl97j+m7pitNEicNG9RPzH7JYLERUuu3bPf7qX1tN2lRUVFQ0d/jFOgV7sS2qcePG3du3rPpIs9lMRE5XbY7cATQPARCAqHPXrjoictdq0bnnt/x8F1Hjbt3SLrk9vnv3DCLP7/n7q28pHeRzQxlCMXA8B6B6q4sHS/+Jt4gxUI1JkG8GJOY+UvQjvSxCHwAuuLTjQQ+gSKPrNfrOFkT2jQuXXdJvwL0le/lpovrDR91ovHhT20GDM3RE+17v223ki59tzDtrv+SVzHHJycnJ9SwXfwJMQz89evTo0c+GVS0XOpaTs5NI16nzlTihBQgefl8ARGUlJR4iuiwjoxa/FWePHrMSUXrjqkuPkxulm4ncx46dDPW5oQzBGw4ZAbSpShhUYwwkZUBS7uMbJ2Wf7CrzrAEAoO50XceMbkvk/Gbh0lN/3+r+Yenyk0QNbr/jRqnziKHbc4vfG9bcRCW5i6eNu7l9/cT0zjePnjz9k1U/HioO8rpm2c8vj3p2i53ih025z6c0CACqhx5AAEREnt8XLNpORMLll7eqxdNKy0qJKCou1mcvrnpxcUS20gCdj4N8bp2GyMvLmzt3ru/tjz/+eKBvBwCYU0gHaPl4rQ6rL+4aJnUIuivuzNyy+kQ0KGnVLYke77gHALQJJcORrN3o0Z1ffnb3NwuXnJwwUdxTxf199vJCoka3j7rW+0A2+soHl+Xfui1nwaIV677e/GPuiT0b5+/ZOH8WkSH5igGjJz77/PirkvwPQmT/c+PMRya8mHPYbmozcel/hydU90AA8AMBEKicq/L8+YpAa4NdFacP7cj595QXf7IR6Tp27VybHVtsVhsRxcbG+twTExtLVGS1Vob63DoNcebMma+++sr3dl4BEI7nAID8NYe+uG2842oxCQIABUI9LwQp484xVz23++fvFiw5OvHRJkTk+X7pskKiZiPv6OVTYG9J7zFiSo8RU4jsRfu3bdm8+Zuv1q1e/1PB3lVv3bcuZ8v87+cO99nby3F03euTJr66/PcKMrccMnPuh4/1TmbynQGoB5aAgcrtn9EnJaDUpu16DXt6xSErEdW/Y9pDGbV59aioKCJyOpw+9zjsDiKymC2hPjeUIXjDISNApAh+D/hQ1DnlwfovAIAI0GzU6D568vy0cPERIiLP1uxlJ4iajxzVM9DBmSmlTZ9hE6a+s/SHI6cOrHqqTzLZC+ZNeOrL8kseVbr3s/HdO/Sfuvx3T4uBz2b/snfFP3vXxzEfQG2hAghAZL7s9jcWvz+kXq2elJiUSHSi9ILvKqyyC2V/3R/ac+s0RJcuXebNmxf0twEAwIenfr7uTFveswAAgLBIGznmpse2rN+2cNHhx59usXXp8hNErUeO6uYV1JSufebO93/V93l2xRO+sVB060GvrnpjT4Ox685u2rSXBl598fbTax7sM3T2Qbu55eB/zX778cymtSnYBwAvCIBA5RoP//eiNiWBHyPENGxzZed2jeN82uzUpF5Cop7IVVJaQRTtfYenrLSciJISq13AHOxz6zREXFxc27Z+zqmKiop8b2QAS8AAFG5fQSM2RUBViOkP1n8BKBnL0lrpgAH1vBGq/vDR/R5e/+WuhYsOPnVt9rITRG3vuKOT9yPqeY5tWr264mjvQ0/0bO3vJeJSU6OIHA7HX/2g7bunD7x99kFX42EfrJk7oWOM7N8EgJohAAKVi2//jxHtZXt1XWpqfaLCg3n5rpu6esdHB/L3u4jiGzaMCvW5oQzBG5aAAUAVc8vq35KY49sMKACs/wIAiBgJQ8cMivly6a8L5n98atlRovZ3jOp46SN6Zt4UN2/VL29MmTNm6d3pPldfz+TMXVtKFHPttV3EG0qWvDh9R7n56hkblkxoW+uLtQBwKfQAAghFiy5dEokqdv6875ISl8Pbt58lSrvh+nahPzeUIQBA6SyHtVXH7jf9EXcHAwCAyBdz6+ih9Yj2vfnPT48Rdb5jVJsqD0i685Vnu0ZR0cpxHXvc/+HXe4+cvuAkIo+j/OQvX7w17qYxC09TQuaM6UPFDVBOLfx4dTlF3TLpwQxy+eNGmTlALSAAAi1xnvn1qxXzPpg57fEHx9w+8p5Hnnn1nU+Xrtt10l7nV9R1GDCgmY6KN344J9968Tb74cXvf1FI1Ormm1tLxSi2c0ePHDly5Og5W22fG/QQQERYbqYu8Yfwr6kq1QU9Sc5eyIAAANQhasCY25KIysrKiK4aNbKVzwOEDk+uzXmyR7KueOdHD9zUqWVqXFR0vRiTObbRlbdO+myvNan7lCWLH8q4WOyzb+9eF1HlshFxBr9SHtjA+BsEiGhYAgba4Cndt+yNZ5/9T87BC753RrUcMPnVGU/e3r52HaCJiEjXdMj/Df/xmezDy6c98nuPHpcnlB7cvn3vcau+8aB7B3jtXvlHzguPryiilKEz/zcuo3bPDXYI5eGykl/FAVBCfsn5tvG8ZwEQktXFg4n8dPy5JZFuScxZXTy4yu0Rvf5La+VdoFZcPlhV/GmufsYbR49I+/SDQtL1GDWipd+H1M987cffRi2e/cnSNV9vP3jiTLHVnNo6o1nzVp373Tvpgf6tY6VHlhw5Usxq4gBaoMPbK6if8/D/svrct/KEW7rFENMgtZ69qPC8Tfr51zcbu3zXp7dW37S5ep6y/JWz31+69Y8yFxGRENOkx9AJD2Z1TPBKPQ5+eo9PABTsc4N/WE0YN4E2Go3x8fFEZLVaL1zwE73JwWAwJCQkZApZ3jcKXVSyUk6DAVBJK/UXuVlb2mp+kPxCbAKd1XBn4Af4zXeqPIAuJkR/CzEA2lfQKJSnhyiiAyDU3wUpIb+GjSYii3tXXpVbNrqzKysry8vL/T4+7LgcOYhSUlJYDlcdu91+xfT3OE5g55T7Y2LQZxlAtVABBKrn3jv9tvtXnnATGdN6jp785MMj+rRtnBylJ3Lbik8c2Lr03ekz5mw9af/js3vvu3nvslENaz2CLq7t0CnvDLpw6vjJYpsxIS09rZ6x6mOa9H9yencHGVOa1P65wT9MYbCXB0AECXEjsOyTXQNkQMGs8FpdPBgLwQAUiOXVYumAAZeoAQDkgB5AoHYVK/81Y4+LyJDx0Lr8H//3xJAuzZKjxFXFgjmx8RUDJ334Q/6GiW2MREXLH3z8i8q6DmSITW12WZuM5v6jmai0yzt06NDh8jS/e3YFfm5tH6YYWAIGoCnVVev4Le2pDjIgAKVBAAQAoBoIgEDlnN98sbaciC5/cvFbNyRU86D46/6z6Mm2RFTyxcrNLoazUzkEQABQq/RHfJiUAUX0+i8A1UAABACgGgiAQOVOHzp0gYiS+950ZaAFj4ZON1/fgIjKfv/9NKOZaQACIACtqRLZ1KGcp0oGBADcIQACAFANBECgchfbFqalpdXwwIuPYNbmEGSCQ0aAOgtLyYxv2U6Q5T9VIAPiCB2gwRsCIAAA1UAABCrXoEEDIqL9O3cGDnYqd+zIIyJKTW3AYFYawasJNI4aAZSgVou/vElPmdPu+TqPjvVfAOGCAAgAQDUQAIHKxffq1Y6IXF+99cZOa7WPsu1+462NTiLq2Lt3PWZz0wLxAA4BEEAAitosPFxFQKjfUdQ/K0AoEAABAKgGAiBQu7ZjJ/dLILJunzZk5BubjvqGQLajm98cOfj5bZVE5t733JnBYY4qhgAIQIOkyp26Lf6iMBUBAUBYIAACAFCNQG1xAVShyfg5H6/vNHzpqWM5j9+49o0eg2+9pm2L5k3ToipP/VlwJP/7nJxtJ+1ERLFXvfjuQ814T1dlEAABRJx9BY3aNz9R56eHK7JZXTxYLCOa0+75u/NeqtVzsf4LIIwQAAEAqAYCINCA1Ns+WjlLf98LS3JL7Ce3Zf93m88jdPEdsp6f/f5jV5o4TE/VvNsAMTuY83g8G93ZmUIWm+EAQOKd/tS5/Mfvy9Y2AwKAcEEABACgGlgCBpqQ0PPRRb8c+vnTfw7u2b5ZctRfP/dCVHKz9j1vfeyTbYd+WfxY72Suc1Qn7AQPIdLIbkRK6xcTegVNWNIf7xcJvrBICeU/SvsHBQgFAiAAANVABRBohpDcbezMlWNnEnls508UHL8Qk948PcHMdG2S9iAAAtAOOfr1SAvBgqSE9AdATRh/pCIAAgCQFQIg0CCdOSH98gTes9AGBEAAGiHT4q8qQwReCIb0BxhLyC/hPYVwcu/K872RSwCk5c9xk8m0f9pk3rMAANXCEjDQDOfpXzYsnj1zxX7vG3fMnvDkzDlrdpyofot4CAUCIIAIVaswRdb0J8iFYEh/wkUj6y4hGBvd2QiAAADUBAEQaMLpr1/qn9Hiyn4jH5y6/JD3Hae2zZkxZezA7pd1vvO/u87zmp6KKSQA8ntVMxKp7GozeFNg15ggIxUGO7XXmAEpKv1R4D8lQJ0hAAIAUBMsAQP1s/747A0Dp++zERGRXq/3vi8hvUms8NsFd8X+BRN67juzY8dzV+CXIpwUEgABQN3Udkv4u/NeIupKRFkNd4ZlAtknu4pf3JL4943YFAxAldAAiIjsdnvGov9wnMC+2ybGxMRwnAAAyAoVQKB6+2c+NGOfjSjq8jHvfPXbsY//4X1n738dPHvyp4/u7RhL5Phl+sPvHeE1TZVCAAQQ6QIX13jX43iHMtknu4r/1W1Q36dXSXy8x1VU+Q+AymALMAAANUGxA6jdns8/2+Mkih/2yXdzR9X38wBTgx7jP/4msfzy4YvOfjd77r5HX2jPfJLqxSUAcrvdzMYC0ILq6oCCWfzlHeLUWBZUh8BIaekP1n+ByrhcLmZjIQACAJAbKoBA5Yq3bz9ERMkjHvab/vwl+bb/G5lKRL/n5zsYzUwbEABB6LTTkjaysoMq6U8wa7L8lgVJN9aY/vgWASkt/VEB7fy6QZBYfqQiAAIAkBsCIFC5oqIiIqImTZvW8MDGjRsTkfPw4aPyT0pDEAABqEOVqCXExs/Bhz5VVMmAdgwYH8o0wi6yIjyAYHAJgAAAQCYIgEDlkpKSiIgO5uU5Az7OtW/ffiKi+Ph4BrPSDunAURDYvdu43W5cPIQIpeQEQcqAfNMfji2ZlZYBAagMywBIOlTAhRwAAJkgAAKVS77qqpZEVLFx3vLCAA87vfLzDeVE1KxLl2RGM9MGLgEQ4dgRQB5+l1wxTn98h0MGBFwk5JfwngILXAIglo2HAAA0BQEQqF3nu+7tbCA6kz1u0JPrj9n8PMJRuOXFYeMWnSYyd77v7m7MZ6hqHAOgje5sliMCaESIi7/CQpkZkJKrtwDqjGUWgwogAAC5YRcwUL3LH5v9zOLrXtpbsWPGP1rMuer2cVl92jZv0qRhvPvssYIjB3/+4n9zv/7DSkSx185c9FQ7LD8PN5fLpdfr9Xo9y0FVfOyYkF9yvq3mFirGH/KUtNLKL6flsNna0l9YrQC+OQvHxV8QdugADVV4PB6WS6oRAAEAyA0BEKif5aoXN6yiMffN2PiH9dTPC177eYHvY/Qp3R/+ZMHDGUxDCo1wu91i+iMIArNDOhw7AoSdotKfu/NeqlKLtGPA+G5rPuY1H5T/QKRz78rzcyPbD1PpWhE+xAEAZIIlYKAJqZkvbjhw8Ks37+nVrJ7xknuEqJR2g55e+MuhbbNuTec0O5XjsgrMt2Td76EtgDIpME1QwhqrKpS5EAxANTa6sxkHMeJxgsfjQQAEACATVACBZpib3DjpkxsnfeIqP/3Hod9/KzirT22ZkdGqSaJFKwtLOOG1ERizsQBUz2+woszFX1zqgBQY2AGEBeNmzOJxAj7BAQDkgwog0Bx9TIOWV/Tqd+ugm3q0b4r0R37SkRzLNkA4fASQlULSH7/TQB1Q3aABEPjCHvAAACqDAAgA5CVdP0QFEIRCa2enyikqicQ8heWclfMvBRB2LD9M0QAochXPvdWi0+kSxnxZ7QYGrg3319fpdJZb55ZKt9mOfv32o8Nv7n1Fq9RYS3RyequOfYY/9uby3POBR7N/eV/juMuf3B626QNoCwIgAJAXryVgLDcuAVAr5S/+UtRkQDsS8kt4T4EFLhVAjNedQegSh40ZGE1UsnLBmkr/j3B9u3RFEZFl4Kgh9YiIyLHv/YGtWt/06NvLNm7NP03JaYnuswW53y9787HbulwxcNb2smoHK17x8eLjFyrsiAkB6gYBEADIi0sARKq+hKiREw/gXloSKbU/HBeCcf83ChetVdhBkFhmMVgCFsFiB40eEk90IWfhFxX+7ndtzl5RRBRzyx231iMiKts8aegja4470vtNzd5TZC079UfB8eLKysIdC577R1PX0TWThz705Tk/r1NRsOlfIx5eWX06BAA1QgAEAPLi0gNIHHejO5vliABqUl2AEkEVN3JnQKpJfwCqgx5AEBzLwDHDE4nKVy/8wk864968dEURUdytowbGEBHZ1s/++DcXZTy2Muel4Z2SLx4d6kypXUe9nPPlC12NdPzzp97Z5/UKx5ZOvvW6K5umtb5x6sYiBt8PgIohAAIA2YmXEFEBBCHSYJECr4gh4tKf6iYWKUVMAHy5d+X53ujxeFgupkYAFNFMmaNvTyWqXLswx6eFj2tL9vJTRPWG3THAQkREe7dvtxPVu+bGbr4fcaYOd2Z1IqLc3bsdf996Pv+HH/OOV5oTU1ISopleTgRQHQRAACA7hewE7/cAF0DhUGYSJMYZEP5dQN02urMZBzFSmTB6AEUk/XVjRjUhsq1dsLxKAuT6bumK00SJw0b1E/MfslgsRFS67ds9/ppGt5q0qaioqGjucMPft3WY+vOZi75/4jK5vgcATUAABACy4xIA4QgSoG4irvwHQqTB2roQaaQRG+MASDxCYFx2BOGj6zX6zhZE9o0Ll12ySMu9JXv5aaL6w0fdaLx4U9tBgzN0RPte79tt5Iufbcw7a7/klcxxycnJyfUsOlZTB9AUBEAAIDsubYBQQw6qwbLYJKLTH2ZFQCj/AS1gfB1FDIDw2R25dF3HjG5L5Pxm4dJTf9/q/mHp8pNEDW6/40aposfQ7bnF7w1rbqKS3MXTxt3cvn5ieuebR0+e/smqHw8VO/y9NgCEDQIgAJCdQpaAqYlGrj/7QqmCrFTQMYdBBoT0BzQCHaChltqNHt2ZyPXNwiUn/7rJ/X328kKiRrePutb7EmD0lQ8uyz/806IZk0bc0DHVUnliz8b5s54dP7hX6wYNOw2e9PHP/vYAA4BwQAAEALKTriJiCRhA3TAIHQJEJBFR/lOjsGRA6kt/EKpCdZxOJ7OxpAJhBEARLePOMVfpyP3dgiVHxRs83y9dVkjUbOQdvXwOAC3pPUZMeXPR13sLz5/O37Lsg5cevq1X81j32b2r3rqvT9e7lh5nPXsAbUAABACy41IB5PF4XC4XdoIH1VBf9CCTAHGVCkqcAJhheR1FOjzAxZvI1mzU6D568vy0cPERIiLP1uxlJ4iajxzVM1BDH1NKmz7DJkx9Z+kPR04dWPVUn2SyF8yb8NSX5YxmDaApCIAAQHZcAiBie/USmEHBghxUX/4jCSUDQgYHqlTdHvBcAiBUAEW4tJFjbjIQbVu46DCRZ+vS5SeIWo8c1c0r/yld+8ygQYOGzPjJ34d5dOtBr6564x9GorObNu1lNm0ADUEABACyc7vd4qYeLJtAk78LidgJHiKaTAGE+tIfOaatyvQHcWodaKEF20Z3NpcO0IQAKPLVHz66n5lo18JFBz0/ZC87QdT2jjs6eT+inufYptWrcxZsPlTNS8SlpkYRkcOBftAAMkAABAAsiId0qAAKIy2chICvsMcQal0VFd6FYKpMfwACYPwBih5A6pEwdMygGKJfF8z/OHvZUaL2d4zqeOkjembeFEf0yxtT5hz3FzOeyZm7tpQo5tpruzCZMIDGIAACABa47ASPVgJqpfGyhTCGEYGjkG5rPt5X0ChcY7G0r6BR4Jn/P3v3GR9HdbYN/J7Z3dleZMvGDXCBYMBgMA4EMMUB01sgBgw2KQTSIAFSICH9AVIpSSiBB3ifQMCADIQekAmmJ/TijivNGMvWrrZPfT8ce1ivVquVNrjf4gAAIABJREFUtDtnyvX/8UGsR9ojaTU755r73GdAGZBb0x+P/x1BfRa/gZrXBnjjdr7oSXO/lCBacu0P/t+HRPueNWdy1QHDzr7y8v3C1PXPr+11wPm3PP3O2k9zKhEZSn7D24/8+WtHzpv/KaVm/eGqL8V4DB/A7RAAAYAVzHuJfr/fsifVNI0tPQOA3vpNf9gH/YYptlI5WvNbqKnBDMit6Q9AfVZWAAmCwAIgvGu7Q/i4eacNI8pms0T7zzlzUq8DxCmXPvHQpQcMF7pf/99vHjl14g7xcCQRlYKxMfucdNH/vVMa9vkf3Xfvdz5nadcAAM9AAAQAVjAvJS1uA6SqKjYCA/exPpVwRAzUe4RDzICQ/kAV76y9tbISB+U/bhM4Yu4Zo4iIhAPmnDGx5iEjZv3u5ffemH/VhafN2GOnkamAqgR32GWfg2ad9t0/Pb5i/St/mNVm6YgBPERA0A7gHV1dXbye2u/3p1IpIpJluaenx7LnjcVioVBoljjbfESctodlz26B9O5J3kPgJjOp3q6yXlCaWB705zZY/lPTnuM/HvTztkidcKrflKevb9bd6Q/Wfw2O+wKgmnsjPKneu2XLFsvGEAqFYrEYERUKhUKhYNnzVmlvb+f11JVkWf7cPddwHMCS0y6MRqMcBwAALYUKIACwgnlbz/oKoKpHsBEYuMagE4qhpD9ks2qgfgfT77dTk7vTH4A6rN8CDBVAAACWQQAEAFYwDINd2Pl8PkGwrnADV5PgboPIKZq17RdLXnglQQN69oEuBHN9+oPyH6jP4i3AzOaA7t67EwDADqzrxgoAHqeqKrvL5/P5LLvIw9WkiyVXG1gFNlCDXg9Vh5nCtHppWOvCpteO+4b5jbs+/YFBc9/6r75wqQAybxQBAEDroAIIACxiXthZuRGYYRjmDvQArtR4YNGs2p++mFU5zU1qmvI1+w222A/HC+kPyn+gX1beOxFFURRFQsUuAIAlUAEEABbhshM8bdsIrLIPtJuklmW83AcaRUAMiy2G0hOaGVy7nJpq5jX1S4S49xV6/fjzDv7rHXzHAGClvpriYQswAAC3QgAEABbh1Qe69zWl/sZSl+0FBkBEoTXBOhnQ2nmXZrNZWZb7OqCJ6U9f+EY80x+/tU4NlCiKiURi+a8unvyra60clcVQ/gP90jTNyj2C0QAIAMBKWAIGABYxrymtrwCy8ukAOOprBdO6cy4TBCGRSEQiEYuHZCt9hVyBQCCVSll8agJn8UgDII5bgOHNGgDAAgiAAMA67LJSEAS24N/KJ3Uxj0xL+oKKhiq9M6DXjz9PURT2cSQSSSaTvf8ALSj/sa1oNGr+THRd/+/FX+c9IgCeeG0B5vo3awAAO0AABADW4dIGCNeU4DWVGdBrx33DMIxMJlMsFtkjrNpFkiTzGE+lP5XfrCiKyWQyHA6z/1VVNZ1OK4rywgXzOI2utZCWQiO4VADpuo4dGwAALIAACACsw6UNENtZtlPvsOwZwWKY1vbGMqDKljf5fD6TybApFut3E4/HrazFsw+WAYVCoba2tkAgwB4sFovpdNqcgro1AwIw9dUB2soKIJ/PJwgC4VYNAIBVvHjlBwC88NoIzFz/YurrwhfANXqvBVMUhVW4sP8NBoOpVMpT5T+mZDIZi8XYzFPX9Uwmk8/nq45xWQaEnHQoPLLStlPvYLdMLHtGNAACALAYAiAAsA6vjcBcf2XpkclJHZjc9lYzvzDDDtaRfeI//mD5uGxh1/lXsw/K5XJlKFbFNRkQ/kCgQX39LbQIGgABAFgMG14AgHXYIn9RFC0OgCy+ogXgrn5yUSwWZVmOxWKWjceGdF3P5XKyLPMeCICNWPx2iQqg3iRJWjvvUt6jAADXQgUQAFjK3AjMygxI0zR0lwTvaKRuRdM0swrGmyb+4w+NpD8uKAJC+Q80DhVAdiDwxvsHAAAthAAIACzFsQ0Q+kC7G2a5jAsCC8s02P8IP1KPc+Ua25qN8AzDsLISx7wVpGkaW5QKAACthiVgAGAp8+LS+lVgweB2PXH1N5aK0/awcgwtlVqWSe+e5D0K4KzxqMKbvZ8H7YUL5s24/k7eoxgMBKPQoE69g9f6L5T/VFIUpVwucxyAKIqRSITjAACgpRAAAYClzOs87huBgfskVxuZSahd7x/SH9P0x2997bhvNHKkczMggAbxWv+FBkCVDMM4442fchzAffv9luOzA0CrYQkYAFiKVwCENkDgelipNDgujsNQ/jN0rlz/1RdUAAEAuB4CIACwlNliQBRFUbT0FKSqqrvbAHlqotIXz854sfjLAs6K2Dz7twD9skMDICIKBALsA1QAAQBYBgEQAFjNvMdoXvxZ/LymmhfBAI6D9GeIGv+xOCsDAmhQp96hqqqVnZgFQWCFwLquowIIAMAyCIAAwGrmvT7uARC4ktcKHxBJNIXLMiCv/RW0iKfKKi1+izQvAPDWDABgJQRAAGA1XhVAFt/e5MJT0xUYKJT/NIvNMyCkPzAICIAAALwAARAAWM2s9/b5fBa3AVIUxd1tgIDxzgQYi7+aaEA/IptnQAB96Wvts8WNeMyNIBAAAQBYCQEQAHCANkDQal7IgJBBQG9eeOVbwzsFlVwaALF3fzQAAgCwGAIgAODADGIs3gzeC1uNeGfS4nEDSn9Q/tMgpxcBIf2BwbG4DAflPwAAvCAAAgAOOFYAub4NEJhcPBm2YfTgGk7PgAAGgVcDIC/clQEAsBUEQADAgVn17ff7BUGw8qlVVUUbIHC0gYYOKP9pKftkQC5OPK3n1lLKvlY9owM0AIBHIAACAD7ssxm8+9oAuXXqMgiYEiP9GYSB/tDskAHhpQ6DY30DINq2BMwwDFQAAQBYDAEQAPBhnz7QAA5ih6zBC5yYAUGzeC1Dt778h1X+4u3YNbofumTmzJkzT7nmrb6DxMU3nD5z5swvXvJQZuDHb6NvefvB66+6/HvnnnHCMceddva5F/78+off3Cj38RXKH7189x9+8PUzTz72uFO/euHlv7/jpU/RcByAyNL2qwAAJl4BELvV2al3zBJnW/m8Fksty6R3T/IehS0kVxuZSZYuM2wdLP6CmlD+A42wyfovdIB2n7bpE5Xnrn1Rf++Oly/a56Ca5QXvzv9Lx6KVwoxT7kgS0UCPJ6L0S3887/wr7l/Ss/3Z7vorLtn5xCvuvv1HB7VXvtHra+/75onn3rokZz7yINFVv736Kzd03Hr25zD/BU9DBRAA8KFpmq7rZHkbIMMwvLAKDCq5Y3qM9MdiTikCcsfLG3ip+Z7YUmgA5EJjz5g700/00T13P6fXPOCdjo6VROKMOafvOJjj9fW3nX3SjxcsKY07/LvXLVj06tI1a1e+9dLCe/50/oyxwvpHLp118tUrKqp79HeuOmXerUtyvgkn/fL/Hn9t9frl/3no6rP3jGXe+fvXz7zibbzuwNsQAAEAN7w2g5flvuqFAWwKK4y4sH8GhPSn6Ty1/qtT77B+c0wWAKEBkLuMOH3eMRLRho75z9ZaZvXOggXvEflnnjV79GCONxZe+YPHN1P7ibe/9PT13z/tsOm7Txi/69QDjzjjBzc//+pds8dQ4aXLv3f7xm2fXXrs6uvekWnkCTc/ff+vvnLsfhN32u2Aky75xwv3fWUsyW9e+bO7PfQ3DtAbAiAA4IbXKrByuWzl0/HiqWlMvxw9Tx5ErIDyH16szIAc/aoGm7D4johZ84v0x2WGnTr3uDDRpwvmP927wGZJR8cyIv+Rc748YlDHr3jllQxR9Oivnzmu19R19Jd/+rXdiOSFTy3aVkz05sKFm4nGzv3p1ydU3l5MHfu9c3YlUv/7yhtD/GYBHA0BEABwwysAYhXv2Azea7wzW0b600SD+GGiXAtsqK+VzhYHQFj/5Vrxk+adkiDacv/8p6pfUksWLFhOJB111qntgzs+k8kQUWnDhu5azzzlvNsWLFhw3/cP2BoAqR988AkR7TllSnV7gTFjxhDR5g0b8OIDL0MABADc8GoDRLUuedEGCOwJaYITWfBb806gaSVPFU6y9V/sXdgyCIDcK3z83NNSRFseuPvJ0nb/sLijYzlR6Ng5p7QN8vg9Dz44RaT9+7Kjz//bs+uyVS9Z/84Hn3baaafNGL+13Ec85vqVq1atuuP0eNUI8y+99DYRTdxtN0vvOgLYDAIgAOCJFYELgoA2QK3gqclMIxw3Zx5EjjDj+jtDa4KhNcFWjMeDQmuCM66/k/coqjnulQz2ZP1bIXuvRwMgVwoeNe/0kUQ9D81/vFDx8PIFC5YQhU+Yc3J8sMfHTrnqxjMnStTzxv9++/AJI8ZMnTX34qtufeil1d21YkQxMWbSpEmTdohu//CWhZf+5L40+aZ989z9hvy9AjgYAiAA4InXKjBN01RVxSowD3LQzHmIVSTIgIaoMkcbRAbUuiIgB72GncXFiblN1n/5fD5RFIlIVVWLO0+DFfyHzT1zHFH+4fmPfJboLOvoWEIUO/GsE6sLcgZy/E5z5r/x6n2/+9Zx+4wKyxvfWXjXdZefd8rBu7S37bjfSd+/9p9L03VfTtqmF687ff8TblipxWdccesFuzThewVwLgRAAMATrwCIPLMKzMVTGncbXHxQlVOgFGhwmvVza0UGhPQHmqJT79A0TdNq7cDUMlj/5XbijHlnjyfKPzr/4ezWh5YtWLCUKHnynOMiQzw+uffsS2967M0N6U+XPXf/Tb+58IwvThkZyH/4xiN/ueRL++z7pVveLVEN2ifP//Ur+33ukIs7Vhs7nfiHfz1y2b6hJn23AA6FAAgAeDJvA1q8BIw8swoMerP/FLop6Y8JMVDj6vysBrcQrLkZkP1fus7lwazc+g0xEQC5njB97tm7EZWemP/PNBERrezoeIcodepZx9Y8sQ70eCIiqX3yIad+6+d/uefpdzdsWvvsbZccMsqnrHvoO2dd+XZVnplf9o/vHrj7Yd+74+3cDjO++3+vvPvwjw5KNetbBXAsBEAAwBm7EBQEweIiIFVVLW5+CfbhwYk0YqB+9fvz4ZsBefBFC01hk/VfVBEAoQGQe02ZN28fIvlfd9/fTUQrFyx4l2j4qXNm9XV2beD4/Jvzr7766useX9Prk8X4+EO/fvXTC38xVSBt8b33L/nsn9TV/zhz72nzbnw1P27WT+97+73nr//K1EQzv1EAx0IABACcmdegkiRZ/9RVbYCwCsw7bDudbm75TxXEQL2xn0lLfyxDz4Bs+3IFh9J13eIUJhAIsAZAiqKgAZCL7Xb23OkCyQvn399FKzo63iXaYfZZX+z7Bl//x4fWPHDZD3948R87N9f+CoE9D/3CMCLauHHjtoc2Pf7NY7527xpt1zk3v7r4qStn7xFr0ncH4AIIgACAMy4BkCAIkiT5fD7LnhGgES1Nf0yIgZhB/By47AiG9KfVvJaSd+odgiBEIhEr3wTNt3jrl56BpcbPmXuwSOoz8zteWLDgLaJRp885vN7rrN/jfftO30ckev6G616vmVlqbz/97GYicerUKewB9ZlfnX/7KnXcWfe8cNf5qPsBqIIACAA4M+9D+ny+VncCEgQhGAwmEolhw4YlEgnrO0/z4rXpTYPsNq9u3b5RNXk5BhrK927xQjC7vUrBWfoqa2UBUFtbW1tbmzVJkBkAoQGf242ZM+8IP+mLrv7qbW8RjTt9ziH1X139Hj/x27+YO4K0d6865vCL7l6Wr/wnteutv3/1y79bTuKEc39y1mgiIso9dOOdH5F4+M+uPXWk0NTvDMAVBBRhAnhHV1cX7yHUFolEIpEIERUKhUKh0O/xA8XqfYLBYF9FRrPE2ZX/K07bo+lj4C69e5L3EGwqM8kWV4iDDgiaVZNSmuiJ2/J8t/caxC8LAVCruTsfrxkAVa19ZjRNk2VZluVWdGj2+/2pVIqIVFVNp9NN//pN0d7eznsIRESyLH/pPz/kOID79vttNBod0pfovuO40V95okxENP6H/1n7xwOGfHzuv1cce/TPX8gQiaG2cRMmTRw/OiJ3f/rBindWbpKJ4gf/7qV/XzqFXeK9/IOxB13zsTRm7/0n1qz+iZ3wpycu7W9IAO5l9bY7AAC9ybLMAiBJkpoYAImiKG1T9U+GYbArXSKKx+PNekY7Sy3LIAOqKbna4J4BWVz7UxNLRtwaAzW31mnG9XcO7lf2wgXzBpQBIf2BpuvUO8rlcqFQCAaDwWDQrP3x+XzhcDgcDuu6Xi6Xm5sEofzHW9pOnXf8t594oEA0Yc6cBqKW/o+PHfCzZ5Yd9rdfX3HLA8+++/6y195fRkREQnD4niece8lPLp530KhtJd2lNWs2EJH88TsvfFzz2VKTbRpBAlgDARAAbKNuWb96U6n6UUGKt+8wsi3ib+EMWVVVTdPYEjCfz6dpWt3DjZ4PV27I+1I77rJDpMY/i6LIin16r/BiuQ+7tGWPCAIKIcHBmt6SpjIocUEYZMM1bg1mQIh+rOHB8h8ikmVZ0zRWcuvz+dhtEvMdUxTF7ZOgcjH96aeb0mpk+MjhydCg1oo1KQCSN69d2yWHR07aqQ0zGFuLnfrnFxZ9r4eEkVOmNet4/+hDLvjbkxfcWNi0fv3Hm7pLoZE77rzT6KRUfXUqHv7LZxZdVOfJ/KP3bmRMAG6F0ycAbJN+9e+/v3ddzX8SpBF7HjF7zknTR7dqNiXLcjgcJiJJkorFYt1jtXfv//1tb0dm/vD6eRVLtXpfxZp0XVcUpTL3MRmGoShKp95RuQpMf2OpK1eBoQioL3yLgLgv/uqLmZ44LgmyIPcZdBFQI5D+QEtVvhVqmlYsFovFYu/3UL17ycK77n7klfc29shbX5GilBy316HHnDBr/51jDfcRFUWRNfjTNG1oW49teu7W3z+yYdJZV19+ZNsQvgy0XnDcvoeNa8nxYmTEhN1HTOj7AGnsPoeNHcBTA3gNAiAAqBLfae9d27edGwyt3NO14aOPt2xa/MSNv1xxxm8uP3pUS+bJAwmAtuPz+Vi9T+8G0g3WscuybP0O9GA3vDIgOyz+6pcjkiDri31atBAM6Y9l3F3+U1On3iHLcs26VzMJEkUxGKQPOm+85h+vfCITkSAlRu208+hwefPGjz/+9P3XH7nl9c7OE37ww1MnhRt60mBw698m1n8BAHCHAAgAqux4xDcvOGS7qzqj8MHz//fXv7/WtebBOxft/6OZrbjxpiiKruuiKAYCgf6WZfmmnvGzX57iHz4+0pYK9t67ZKCdLHFJCoz1GdBQ0h8u+5FXhSzc8yAbrvBqUF8ZENIfaJY667/6+URdfu+ha35/z/I8+UdOn/2dc4+bOja59Y1Wy6x8/sH/d9sDS9Y++ucbR/7i0iNGaLXjpEpoAAQAYB/YBh4A+iVEdjz03DP2DxPJK5eu3tafJ7dh5YoVa7tkIiK92PX+e2+tqd5kzFCyn6xb9+HmrKz3+qL5T1atWLFmc5lIL366avHbi1es/CjNvva2i0U13/X+ug+7cspnF5d+vz8SiSZioWAwLIXYzrV697rFixev+CinFYvFTCbT3d2dz+cVJbtp9YoVKz7qMfp8xvc3FzUiXddlWd66K0pEFxOG4Ovz0tnpPHjHe0CsnH47Lv3pjW2mbv7nymesbyi/iN4vAKQ/VvLmydAwjHK5n9zW+PjJWzuW5yky5Yyf/+o7s3YKKunNm7PZrCzL5Et+7vCv/vrKc6eEKbdk/uPLpWHDhiUSiWAwKAjb0nOttOXDdR905VSDiEgQBLamjC24/uxptj+sL1q+64P3N+aGsm4MAAAqoAIIABoSnDRpLP13lbZhw0aiMURE7z169V9fbj/5f/7noI/u+Mvfn/uoGDz0kpsmbt1Etbju6bvufOKN97eUNCIif2rSAUef9uWjJifN+oq1/7rumudiJ1wyV37g5qfW5YmISAgN+9zMb/zgK9PFZR033LXw3Y/ZRV9w1P6zv/XdE3dPBoOiKBLpr9z9s2v+Ez32f+Z/eyppWv75W3566+Jhx/zsT6dPrBzyxwtv+n3nlinn3nTJwcE+nzGYmnjQnPO/elBx+QN3hI4uC6z1gSZqy30aEWZjHmSHTcEcqk4iM6BaITskO40bSjOgyjogpD/Qamz/r/4Kdor/eeDR9zUKfO6Urxy9Y4iItsVG5XJZEARJkqQdjpo765HLHv70padf/tYXDo9IkiRJhmGUNr42/6bbnl68IasYROQLDxu//ynf/MoRw4mIyAyetO7FD/19/qJln+QqDvvamTPGbPd3b2SXP3r7PzqXbMipBpE/NmryzHPO37/pPxMAAK9BAAQAjclme4iIwpHodg+Xlt/zp/nPF0dN3mfvsbuxqzza/J+//eH2VzapgWET9po6NqltWbtixeoX7716+fvn/+S8zw+r/KIv3H5DOhvd9cADPzfM+Pjtl978cMUTV1+Z3l9/9eUto/adccKO4czyl19Y+ckrd900Zu+bvj55u6JFtVzo7i5rWq5GfVHf30avZ1z9zC1/6XnFePv1ngkzjln1j4VCu+Zr0317GtRlqLILgwC0grYDF5T/DIizMh0rsQwI6Y/FXF/+01cRa6nUa6vPKuV3X3unTNR+xOkzh/f6RzMJ2uGUq/7fl3zBYDhkGCQIRKSve+Q3P79tSY8RHD5pn8k7x0sfrVj+3upnb//Zqg9/+ocLpsW3rv/SPuj84x/vWZkzpLadp+y6Y0LeuOq91aufvf3XK9de+JN5U2Jbn2jTizf+7v+93q0LoeHjJ08cKW5e897SR665asVOhaH8VAAAAAEQADSk8PZTL35KRNFxY7aLDrqe6XhpwomXfeekXePbopLC6/ff/combeSB37r4q/vvwCpqCuue/Ns19y5++Y67pk6+cP+4+enFdHbHYy/98exdokREJx/44C+veGTD+pdfTn7he1f/+IjRfkEg48u7/+zbt7y78fU3Pvr65J0VRZHlUk4mIkMtFfrZL76G6me89+dXPLnxo9dfjx/w3d9ddvROx/z8GVop+r8gB4YbwpalFNtzUD8ucLZWFwF5Lf1xvSHuCIb0ByzQqXdomtZ/a7z3li5VifwTdx1fb793g0QyjFKpUC4XJUmSpMK/b79zSQ+NPPjCX148a0eJiMjofuOWX/3usbVP/e8DR19/zi6KohBlnr/3/pU5Gj79axefd8iYABGRkVk8/9obFr7/zN3/mnHFlyeIRFR88/57X+/Wgzsf+a3vnzk1JRKRkXl3/tU3LFyDJkIAAEODHkAAUKXwyXsrTMuXvfvai0/effUvb3hxC1Fwt5OPnrzdwYoyYta8ivSH6KOnHvxvjoZ/8Wtm+kNEkfFHn3vaFInyby56tafy8xMzTj91l201Rf6J0/cdTkTCHqd/+8gxftZQQBgx46DdiGjTJx9s2bIlk8kUi8WhzJaqn3HqMCISdj3x7P3jW692DUHbIBKREHbtrMz1d7+HrnVzckds+wUDNZRg7rFrz2niSAD60m/3HyIqpdNlIho1enT1FCH38Yre1m9WjHK5nH1rwT1vlymy/7xvzBjr31qUK7RNO//CE0YRffTofc9lFMMwaPW/HlkqU2T6mV/bmv4QkZCcMuerR44g+mTho68ViYg+XfToqzkSdjzum3NY+kNEQnKvOefOGtWcHwQAgIehAggAqqx74rrfP9H7YSG802FfO++I6k3gR0/bb0zlQ8W1az42KL7353cLbH9gcq8pO9Li1atXvWd8cT/zM3aaMKHyJmMgGCHavMPkyW1EhmGoqirLsiIGichQZF0fwFqvvlQ9YyQaJdrSvsukmKapqtqpd8wSZxvbbpHqbywVp+0x9CcFJ2pFHdAQ0x+U/7jVY9eec/zFd/AehVe4PgEf/Povony+QEQUjcWq/2XFP39/w2vVD44/4w+/OLqdsuvXdxPFPn/wHkZ+y5Z8IBCQJCkYDIq7HHnE+AV3rVu76n15rzHmYYdM237/eGH8jBnjHnvwww/e30j7jzfeX/+BQbTnF2duf8Eh7Hz4oeMfu29dv98DAAD0DQEQAFSJ77T3ru0V5wbBF24bNW7C3gceMCnRu2hwWPv2XQI2btxARKXXbrt8edX5xSh2E5GSzuSJzCtLKSBtd5AgEFEkEiGinp4eVqze3w6zA1P1jGzjknA4TESlUinGLnoNF7b+qYJOQI1obgaE2h93G+JCMGRA1nB9+lNTp94hyw3dRIlGI0REn3zyCdEu2/1LcsK0aRWfL3+yfPHH2zrybNy0iYhGjNyBnS4VRVEUJZ/PDx8+ctRogdZt+uTjIo0Rqg6r0D5iB4E+3PzpJo3Gpzd+qhLFR4/ulUENHzM6QOv6W8QGAAB1IAACgCo7HvHNCw4J938cE4lsf2g+VyAiKZpKJqv7BySTqVFEYxMNfmVJkvrvVtBU5XI5Go32fxx4iX02BUP5j+shA4Kh66v8p5H1X0QU2mFkkiiT+ejDHO2yXQKzy7EXXFDxv2vv/dFnAVAxXyCiUChU+Ql+v18Q/LFomKiQ7ckRxWseRkREvmg4RFTMZQtEJblMRJFwpPfoEokkUVcj3wcAANSGAAgAmmrkiBFE74+Ycd6Pj2sf2leSJCmfzw/hCxQKA9wuxDAMWZY79Y5Z475kPujiVWAoAmpQUzIgLP7ygiEWAREyoBbzZvkPbXt3a+jQiVP2DC98qbj6lf9uPvyI3vuAbdOzZs3mz/6vfUQ70Qdbtmwh+myXh2AwSFTo6ioQhdpHxPs6jIiIilu6i0TB9hFxouCIdqINm7d0GTRu+xOvkc549BcIANA0CIAAoKmG7TDSR+9vWLuuRO3b3+TrevfJF9eU2vc65uCJ/WwIbegaEfl8Pp/PpzW60ZemVdW2b/7o4/7bHVQrlUrBIParhmpDzICw+Ms7hp4BATRXp95RLBaNBldT+/Y64aRdXrl31fIH7nxp+kUH1b5HUF7+yNNOYr6fAAAgAElEQVSrK/5/xMiRAn3Q9d6qNO2c2vagJEkkv71sDRGN3GGHPg8jIlJWr1pvHia1j0wQ9SxfukrbZ9fKUmJj/erVHlj/FQgEHj3kz7xHAQCuhV3AAKCpfHscMD1G5TcfenD5dtU7ubceuP3ehx56bUuo/3jF0LZe4kmSVP9IIiLyBySBqOejD7IVD6or/7Vw7QDGvZWiKJqmPTn/CwP/VEfy7P3wQRj0vmBDjwNQ/uMp2BSsRbxwuhvi+i8iIhJGHTnv2LEiFd+554b5r33S6xON3JqFN9/89CeV91z8e+4/LUzayicfXb71xovP5/P56KNH7322h3w7TZ82ovZhRESkfbLw4f/kyLfT59lhu37hwOFEm599YNGmijtARvr5f/57U8PfhnMJNsD7ZwAALYQACACaK7zfaSft4tc/6rz2d7c99fqKj7t7tny0+Jnb/3TLfzKU2O+4Q8f0/yUMbWulemPFOIGddx5DZCz9582PLd1U0vRS9/uvLfjD9f/e3P+n1tL7QrmvS2p38MKkqFkGkQEh/fGgof/KkAFBs3TqHaqqqqo6gM/x7XjCuadNilJuVeeNv7j8T3f888nnXl28as2qxa89/9T9N//6J1fe/TZNOfWo3Suqc2LTTz1uvEhd//7zlX9/ZvG6Tencp6ufvfNXl/19mUapQ04/arRQ+7AtH674z/3X/nbBKo2S5mG+ScedvFeQlBV3X/GnjhcXr9u46aPlrzz85yvueEePRKq7CwIAwIBgCRgANFv7Ed+9KH/z/z6y/MV7bnjRfNSXnHzqBd84sJGWM4auaZrm8/n8fr/f7++3b8G4o8464r/XPv3J0vv/dOn9oijoukHkG33IQdHnX1o14OGXSqXeDSoBmAGtBcNSIM9CMyC78ULS3Yzyn60C44/98eXDO/7vnmdWblm66OHtvq6/fe8TvzHvpKnGwrefWmZW6Aijj7ngwsItt/1r5bN3XvOseXBwxxlzv33GHlI/h0ljDj678rD4wef9IHPzDQ8sWfHEbSue2Pa1xh7x7aNLN93+2XWFOymK0mjDptYQRZFtjQoAroQACAC2kYaNnzw5RDsmGysNjI/ZbfJkdWy8978IyT1O/tFvpr7+6pI176//OE2JkaN3nnLwIXuPrFzQFR216+TJ5bHJ7ebS0vDxkydHRg6XyuUy2ww+GAwqibGTJ+cCo6Offf2xkycXgjuYD4R3P/vXV0555pm31mzY+OnGjRlj2G4zvnzmUUrnpi3+z76d+s9oPqLruhobt9dee721fMVnD7q3FTShG/QAWbkvGMp/vAwZEDTFIAIgIgqM2v+sy/Y9etXbb769dO3G7mzJCMbbRk2YMm363hNSASKiA+d9f2RxtPnW4Rs2dfaP/2faa68tXfvhh5+WomPGT5y0+/QDdwoVt/u6FYe9//4nOal93E4777bv/ntsd4FAQmyX4y/59e6vvrpkzbr1G7JCYuzkAw47dMrI9x//3OTJI9oCg/k5OIVhGB0fH8VxALPHPMXx2QGg1YRGe8IBgPN1dTlm91RRFIcNG0ZEhmFs2bLF4jNVMBiMx+OzxNnbDcm9ARARIQAaqH4zICz+gqaUgCEDGjovlP9QrQqgTr2jXC5ns9max7dOPB5nK7hzuVypNPDtGDhpbx/i5qXNIcvy3etnchzA7DFPRaPR/o8DAGdCDyAAsCNd11kJtCAIjbWCbiZZlg3D6NQ7thsSOgFBhfr9gLD4CwCs1MT1X0NkvmsbhmH9swMAQH0IgADApswLR+v3ZcdlKzSirwxo+a8uHnoDBZT/uMDQf4l+v//lv1/UlMF4lmfT7U69w7yVYqVgMMi2kWK3Uix+dgAAqA8BEADYVLlc1nWdiCRJEkWrT1YOqlpvFs9Ok4YiudqoioGW/+piIopGo7FYjNOgwEaGkgFJkpRMJkVR/O+dlzRxSJ7ikdNaX+U/XN7IQqEQx2cHAID6EAABgH2ZZTjmBaVlVFVVFMVTq8DIM5OlpjMzoBcvPKfyRctm74P4gij/gUgkkkgkWCWFpmn/+svXeI8InMf6CIZt30lEuq4rimLxswMAQL8QAAGAfXFcBUZExWKx/4MAiGhbBmQYRjabzefz7MFAIJBKpQKBge1Yg/THZQb6CxVFMZlMsm0QiUiW5XQ6rWnaY9ee04LRuZlHEu2adyZY+2dWRWsllP8AANgcAiAAsC9VVVVVJSKfzzfQWfTQybKsaRqKgKBBZuPnYrHY09PDml9UTebBmxrPgCRJqgwNK19LRIQMCBrH5R6GebcGffQAAOwJARAA2Jp5FxFFQGBnVTNzWZa7u7vNFRCRSCSVSvl8vn6/Dsp/vIwt+2LLBquqyWCgvJxld+odsiyz2ydWMhv2KYqiaZrFzw4AAI1AAAQAtlYul9ndb3NjEYufXdd1FAFBfTXrMnRdz2QyhUKB/a/f70+lUvVzTKQ/Llb/l1tVKaaqajqdrllDgSKgRnjnJNbX+xGXuxdY/wUAYH8IgADA1gzDYLvYCoLAZT94b17Iemf6NHT1J+SFQiGTybBOHIIgxOPxeDxufZQJdtBXBiRJUltbW+WyL9b0p6+vgwwI6ujUO9gmBhY/ryiKkiRRxbs2AADYEAIgALA77qvAzAYcAFUamYoripJOp835WDAYTCaTbKOcSij/8SCWCZq7fbGqsUaWfSEDqsM7+bWtyn8qu//gTRMAwLYQAAGA3SmKwgooAoFAI11UmsswjHK57LVVYOSlSZQFai4Hi0ajZikQ0h+PqPxFB4PBtrY2c9rMdvtqvHADGVBNHj9xdeoduq5zacCM9V9e1v3QJTNnzpx5yjVv9R39Lb7h9JkzZ37xkocyAz9+G33L2w9ef9Xl3zv3jBOOOe60s8+98OfXP/zmxn7rzd6+ce6JX/3fFQP7ngBcq/oOJACADZVKJdYdIxQKWd8VtVgsmpe2AKaBzsALhYKiKLFYjOWY4XBYkqRcLmf9Yg3gSxTFWCzG1ssQkWEYhUIBLedhQGxV/uP3+9lpTdM065tPA3dt0ycqz137ov7eHS9ftM9BNcsL3p3/l45FK4UZp9yRJKKBHk9E6Zf+eN75V9y/pGf7zOj6Ky7Z+cQr7r79Rwe197G2Wn/59t/e9SiN+Nngvz8AV0EFEAA4gHk/k8sqME3TUAQEVQZXf8GWg5kzNJ/Pl0wmUf7jKTOuv7Otrc1Mf6peEgOCIqAqOGXx6luH8h+vG3vG3Jl+oo/uufs5veYB73R0rCQSZ8w5fcfBHK+vv+3sk368YElp3OHfvW7BoleXrlm78q2XFt7zp/NnjBXWP3LprJOvXlGzbZqefv6n3/3bh835LgHcAQEQADiApmmsSsJsM2kxz96cx4SqpqFMvA3DyOfz6XQa98k9a/dfX0fbXgmZTGYoG2YjAzJ56mRV8w5Ep97BpWld5RYNXFafgQ2MOH3eMRLRho75z9Y6n72zYMF7RP6ZZ80ePZjjjYVX/uDxzdR+4u0vPX399087bPruE8bvOvXAI874wc3Pv3rX7DFUeOny792+seILpN+455pfXnTOkZN3Ouz3b6InOUAlBEAA4AzmfUUuq7HYpioeLAKC3poy5Wb7fOfz+cm/unboXw0cR5bl7u7upiTLyICA4VX+I0kSa2cmyzJr2AceNOzUuceFiT5dMP/p3oual3R0LCPyHznnyyMGdfyKV17JEEWP/vqZ43pNXUd/+adf241IXvjUoooX3/qOn//gN3++8+n3smhIDlAFARAAOIMsy+zGpiRJosjh3IUiIGi6/f54C+8hAB97X3VDE6fKyIA8dZrqq/ynXC5zyV+w/guIiOInzTslQbTl/vlPVVfcLFmwYDmRdNRZp7YP7vhMJkNEpQ0bums985TzbluwYMF93z+g4tW/20WPL97qwe9MGPI3B+AmCIAAwBnYblzsYy6dgGRZ1jTNm0VAnppc1YeZNjRLc3s/efmViRMUw+Uuhc/nCwQCRKTruixjqY2XhY+fe1qKaMsDdz+5fRK4uKNjOVHo2DmntA3y+D0PPjhFpP37sqPP/9uz67JVMad/54NPO+2002aMr9jbKLTDrntutetIDpeMADaGAAgAHIPvKjDycBEQMM2dY6P3MwAMVF/lP+wWhfXjMd+O0f0HgkfNO30kUc9D8x8vVDy8fMGCJUThE+acHB/s8bFTrrrxzIkS9bzxv98+fMKIMVNnzb34qlsfeml1N/bQBBgwBEAA4BiqqrK+uT6fj0sRECuwRxGQNyH9gaZDEdDQ4dTEcLk/IQgC1n/BZ/yHzT1zHFH+4fmPfJboLOvoWEIUO/GsE+NDOH6nOfPfePW+333ruH1GheWN7yy867rLzzvl4F3a23bc76TvX/vPpWm0+gFoFAIgAHAS8xo3HA5b/+yGYXi5CMjLEy1vTq3BAsiAhsJrJ6W+yn/YNgXWjycUCrH2z+VymUv9EdiMOGPe2eOJ8o/Ofzi79aFlCxYsJUqePOe4yBCPT+49+9KbHntzQ/rTZc/df9NvLjzji1NGBvIfvvHIXy750j77fumWdxFBAjQEARAAOIl5len3+1nfAYuVSiXDMLxZBORZTZ9Uo/wHWsdrGRAQv/If806Ml2+NQCVh+tyzdyMqPTH/n2kiIlrZ0fEOUerUs46tWbY90OOJiKT2yYec+q2f/+Wep9/dsGnts7ddcsgon7Luoe+cdeXbCCEBGoAACAAcBkVAHHntfnsrIP2BKk1/SXgkA/La6aiv8h9N07j03wkGg2xHTkVR2OpsAKIp8+btQyT/6+77u4lo5YIF7xINP3XOrL7ynAaOz785/+qrr77u8TW9PlmMjz/061c/vfAXUwXSFt97/5JWfEcAboMACAAcxtzpVpIkn89n/QCKxaKXi4C8NunyyFwaXMb1r1uvnYjqyOfzXJ4X5T9Q025nz50ukLxw/v1dtKKj412iHWaf9cW+K7b7Pz605oHLfvjDi//Yubn2VwjseegXhhHRxo0bm/qdALgUAiAAcBjDMMxmk7yKgAqFQv/HuZd3pl5Y/AXWwAtjQLxzCjL1Vf6jKAqXzdfNGzCapmH3d9jO+DlzDxZJfWZ+xwsLFrxFNOr0OYfXu1nX7/G+fafvIxI9f8N1r9esNNPefvrZzUTi1KlTmvqNALgUAiAAcB7WiIcqStCtH4BntwPzDtfXUICtYCEYDAKvuxHm3ReP3w6BWsbMmXeEn/RFV3/1treIxp0+55D6xdr9Hj/x27+YO4K0d6865vCL7l62XcWb2vXW37/65d8tJ3HCuT85a3TTvxcAF0IABADOo+s6a3lQ2YTSSigCcv0d+FZMnlHlARZzZQbk+pNPb32V/8iyzGXzL3MTBvO9GKDSyNlzZwVJX716LdH4M886UBjq8YkTb3jkf2Yk9a4X/3z2lPZhO+/x+ZnHnXT8kYd8frcxY/f96j9WqfGDr3r4+mNTLfp+ANwFARAAOJLZdMDchtZipVJJ0zQvFwG5eBqG9Ae4aMWLxGUZkItPO4OA7j9gU22nzjue7eI+Yc6cA5pxfOyAnz2z7Lm/fvOovYYb3e8ve23RE488/vQLr73XE9/zhB/f9uLKZy6dIjVv/ACuJrBlFADgBV1dXbyH0EyJREKSJCLK5/NcLkMlSUokErPE2ZUPitP2sH4kHKV3T/IeQvO1Ys58/MV3ZCZxSCrBQZKrDWrZy6/pX9N63kx/+ir/KZVKuVzO+vH4fL62tjYiMgxjy5YtbppHtLe38x4CEZEsy3evn8lxALPHPBWNRof4Rcofvvmf1T0kjJxy6O7Dm3q8Xti0fv3Hm7pLoZE77rzT6KTU3xtrYf2rr64rBMdN+8KkeMPjB3AxP+8BAAAMUqFQYAFQOBzmEgCx8vtOvaMyA9LfWOq1DMhlWjf9ZtN7xEBQE3t5tMhj157jjgwIGI7LkM3yH7MZH0BvwXH7HjauJceLkRETdh8xofEvHdn584ftPIChALgdloABgFOpqsraH4iiGAwGuYyhZgU+FoI5lwXFFy2d54MTJVcbla8KJDU1uexU06A65T+6rls/HkEQzHdbrP8CAHAiBEAA4GDmBSiXVtBEpKqqLMtVnYC8xjUTM8u6pVRN+MGz+noltCIDcnQzINecZJqCb/kPa7pXLpe5JFAAADBECIAAwMFkWdY0jSo2JbEeioDIFdOzFk2P68zkEQN5nPW/fYdmQC44vQxOX+U/hUKBy9orQRBCoRD7GOU/AAAOhQAIAJyNexGQpmnlctnjRUDk8Ekax4kxMiAPaiT7a9FCMMdlQI4+sQxFX+mPruulUsn68RBRMBgURZGIZFlWVZXLGAAAYIgQAAGAs5mF6JIk+f18Gtvn8/ne92O9VgQEvTU4h0cpkHfY4XftuAwIKvEq/yHs/g4A4AoIgADA2QzDMG+H8ioCYrdkUQTk0Hv11i/+qskO0QC0ziB+v+gG7dBTytD1Vf6jaRqv8h9Jknw+H1VsvwAAAE6EAAgAHK9YLLI7omaBuvXYXdmqDMiDRUCOm7DZrRoCMZD7DOV36uWFYI47mViAV+9nIopEIuwDlP8AADgaAiAAcDzDMMrlMvuYVxGQYRi4LGYcNG1r3TR4iPN2xEDuYOffo80zIAedRpqur/IfVVXNdzqLBQIBtsKa9bzjMgYAAGgKBEAA4AZm+BIKhXgVARWLRV3XUQREDpm82Tb9Mdk5PoD6mvi7a91CMNtmQI44gViv5o6T1jDLf3gtQAMAgGZBAAQAbmDelhQEwbxUtZhhGDXr872ZAUGzIAZyllb8vjyVAXk8/emr/EeWZV6ddwKBQCAQoG3d7riMAQAAmgUBEAC4hBm+hEIh1qvSeqVSSVVVdIMm28/i7F/+U4XFCkiC7MyhvyBbZUA2P2+0Wl/pj2EYHMt/otEo+8BstwcAAM7FZ8tkAICmY9ujhEIhIopEItlslsswcrlcKpWqelB/Y6k4bQ8u4+EotSyT3j3JexQ1OC79qcQihswkodVPBA2yJvQ5/uI7bJXUtILH0586isWipmlcnjoYDJrdf1D+Y41AIHDOpOd5jwIAXAsVQADgHmwrLqq4ZrWeqqrFYhFFQIwNZ3TumEU7tNjEZSz+LXhqIZgH1dn6neMOA+aSavPtFVpNEASRN94/AwBoIfyFA4B76LpuXijz6gRERIVCQdM0dINmbJUBtXSia0H5TxWsC+PClT927hmQrU4UtpLL5XglL+Z6ao4bkAEAQHMJiPMBvKOrq4v3EFpOEIS2tjZ2/yqTyfDqmilJUiKRmCXOrnrcgwvBGDusBWv1FNf6AKg3LA1rHZskPi4LMRmkP32V/5RKpVwuZ/14aPs3056eHlmWuQzDSu3t7byHQESkqirfn7Yoimw1PQC4EnoAAYCrGIZRLBZZ08poNJpOp7kMQ5ZlWZY79Y7eGZA32bYfULPYIf2hipACSVAT2ST6scBj155j/SsZ6U+d3s81d5a0RjgcZumPoiheSH/sQ9f1UM8+HAdQjL/J8dkBoNWwBAwA3Mbsl+n3+4PBIK9h1Kzb9+xCMOI9zXNl3UQd7lujZD17LvVq9YvN4rVgSH/qyOfzuq5zeWpBEMLhsDkMLmMAAIBWQAAEAC5k3jXl2AlI1/VCodC7GzQyIOtx72/Cixlh2C3FsC1H/MRsGDgODtIf6rv8R1EUjrtuRSIRQRCISJZlVVV5DQMAAJoOARAAuFC5XGbXrD6fj+NS9mKxqKoqdgSrZP2Uzwutfxph/1yDI/xwKlkTmCL9obr3AzjW3VS2gEH5DwCAyyAAAgB3qiwCYncyuajZv9PLRUBk7cQP6U9vjihysYCjfw5OXwiG9KeOTr2jUChwrLsx3zRLpRJbTw0AAK6BAAgA3EmWZbYFGN/9LFRVLZVKKAKqYs30z7Mrvxrn6BBkENz0/To3A0L6w/S1+EvX9WKxaP14GLNslm8LagAAaBEEQADgWmbtOt8iINbIsyoD8ngRkDs4sfynjspwxAX5COPKb8oyrciAkP4wdd4Cam4gYBm2hyYRlUolXi2oAQCgdRAAAYBrqarKNq8VBIFjN2jDMGq2UfB4BtTqeSAWfw1RVXTilPTEiWMeNAtehM39O0L6U1+n3lEulznuue73+yVJIpT/AAC4l5/3AAAAWiifz7PL2VAoVCwWed3PLJfLwWCwU++YJc7mMgB7Si3LpHdPtuIrY/FXK/TOUzKTuBXWUa3xgJ0h/TH1tfirr7sFljHLfwqFAscqJAAAaB0B53cA7+jq6uI9BA5isRjraFAqlWq2ZLaGz+dLpVKCIFRlQOK0PXgNySaangFZkP64vvyniQYXEiHcaZwjXvBIf0x91X526h25XI7j1u+SJCUSCSLSdb27u9uDE4T29nbeQyAikmXZv2UKxwEU42+aUSAAuA8qgADA5QqFQjAYFASBFQHx2tNE07Risdh7JZr+xlKPZ0BsZtisGAi1P3aDKKfVjr/4jla/7B+79pyhZEBIf/rVqXewHQM4jsF8e0L5DwCAi6EHEAC4nK7r5lU135tahUJB0zTsCFZTU6aI1qQ/KP8BDxr0HxfSn0p9Lf4iIo4FqkQUDAb9fj8RaZrGN4cCAICWwhIwAA/x5hIwIhIEYdiwYWwjsEwmw7aH5wILweobYh2QI9bCALSCPdNPpD+V6iz+yufzHLd+FwShra1NFEUiymaz5XKZ10j4whIwZrBLwBb/5bQLH9wiHfPbJy/9wrbHPp5/3tm3rKr7aV/89TM/P3TgzwYAg4UlYADgfmxDE3ZBE41G0+k0r5FommaOpBIWgjFDaQuNxV/gZRYsBKMBrgVD+tOITr1DURSO6Q8RhcNhlv6oqurZ9AeGLPPeS4sWfRIav7niseL7ry1a9FbdTxu1qbXDAoAqCIAAwBNKpVIoFPL5fH6/PxwOc7zaLhaLgUCg945gyICYwWVA9ix/APAmRD+91dn5K5vNWj8ek8/nC4fD7GO+y9DAvQ658r9/PT5Y+99S4y0dCgAgAAIATzAMI5fLJZNJIopEIrIs8+oGTUS5XC6VSmFX+L4MNANC+gNAtikCQvrTW1+Lv4gol8vpum7lYKrEYjG2PrpUKqmqynEk4F7JnadOndpHAAQAFkMTaADwCkVRWHG7IAh8u0Hrul7zRmudSYLXND6HxMovAJM1MWWdPzqkP43r1DtKpRLfJVfBYDAQCBCRruv5fJ7jSAAAwBoIgADAQ/L5POt8L0mSJEkcRyLLcqlU6r0jGDIgUyMzyf/eeYk1WR7KfwBMkiT9546Lez+O9KemvhZ/aZrGN3OpvBdivjkCAIC7IQACAA+pvMlp1r3zks/nVVXFrvB1NDKfDIfDiUSipb9KpD/gIK1+uYZCIfYX9987L6l8HOlPTXUy/Ww2yzdziUajrPezWR4LAACuhx5AAOAtrBu03+8XRTESiXC8AcvaEqVSqarH0Q26Up1+QP/+2zfZB5IkJZPJbDbLsa8TgBfEYrFQKMQ+VhTFfBzpT0119n0vFAp8G+4EAgH2q2TvRBxHAh7w2p/nzP6nr/fjI075/Y1nT7R+PACehgAIADzHjF3C4XC5XOZ4Fa6qaj6fx45g9dXMgB679pxisajrOqvk8vv9LAOqnJQ2Bcp/wHFa0Q1aFMV4PM76xRBRqVTK5XKPXXvO2cf8tblP5Hps3/dCocB3GObir2KxiOgcWuyTVx9c8GqNx8fvcpnlYwHwPARAAOA5qqoWi0W28W0sFkun0xwHUywWJUlCBlQfqy8wYyBzclsulzVNSyQSoiiKophMJvP5fLFY5DZQAHtobgYUCATi8ThbLkRElX9ld/3rQmRANdXZ9517xU0kEvH7/USkaRpOmNB6B17+1G9n1ei7GNppN+sHA+B1CIAAwIsKhYIkST6fz+/3h0KhUqnEcTDZbLatrQ27wveLlQJVTWtVVU2n04lEgs1notGoJEnZbLYpOyuj/AcgEolEIhH2sWEY2WxWluXKA5AB9VZ/33e+FTeiKLL7H2ww6P0MrTd890MPOwzbwAPYA5pAA4AXGYZhdv8xG2Hyout6Nput8Th2BOulZqsRXdczmYx5HzsQCKRSqaHv8ob0Bxxt6C9gVlVnpj8sbK1Kf5i7/nXhEJ/LTeq0/imXy9zbLZsbIJTL5aavmQUAAJtDAAQAHiXLMpvJVG6Fy3Ew2BW+EX3NM1mi19PTw+5mi6KYSCS4/1oB+BpKBsSCVLPpT7FYTKfTdUpXkAHVx/Z95774KxgMsnC88i4IAAB4BwIgAPAus/rdvCbmKJ/Pa5qGDKiOfmeYsix3d3eb97TD4XAqlfL5amw90i+U/4CXRSKRZDLJSiN1Xe/p6UFY0KC+Wv+QDdZbVd7tyOfzTVknCwAAzoIACAC8S9d1cyuWaDTKquJ5Yc01aNtUAao0WF/AloOZv1a/359KpYLBgfUeQPoDrjHQF7PP50ulUuayL0VR+lr21RuKgOrk9YVCgft6K3O9s6IofDvfAQAALwiAAMDTisUi2wbe5/OZfTF5YbvC934cRUADnVgWCoVMJsPubwuCEI/H4/E434APgJfGM6BgMJhKpVg/dSIqFovm31GDvJwB1Wn9Y4d939mOB+xj1HMBAHgWAiAA8DqzKUMkEhnccqEmKhaL5XIZC8EqDW5KWVW5wGa2jfx+Uf4DHsQWB5k5KaukG1xM4M0MqE7601ebf4vFYjH2gXnbAwAAPAgBEAB4naqqZjG8eYnMUS6XU1UVGdDQVfUuYWtbzHvgNSH9AVeq/8JmKyXNEkhZltPp9FDWK3kzA+qtU+8wDKOnp4d7t51wOMwKuyoXPgM01V7ff2DRokVPXXZgxWNjz7p10aJFi347i3OXRQD4DAIgAIDP2mEGAoH6AYEFzAkDMiBqxkyychmLIAixWCyZTHIv9QKwA1b4U1kcx3bTG3pg4akMqM6ZOZ/Pcy+3EUXRbOrEvRE1uFdilwMPO+ywQwmSHQ4AACAASURBVHYbVvFYaMf9DjvssMOmjMQKbADbQAAEALDdhriRSIS1yeTIJksGuGvWHFJRlO7u7nK5zP6X7W/du+UTyn/AxXq/vKv+EDRNS6fTxWLR8qE5W53FX8Vi0Q69lmOxGFvZVy6XG+znDQAAboUACACAiKhcLrMlD6Io2mEhmKIo+Xzey0VAza0gYJusmaUNZuGD2e8WwPXMDKh3KVyxWEyn082tVfFCEVD9xs926LUcCoUkSaLt73MAAIBnIQACANjKrI2XJIn7jmBExO4eezMDatHUUZbl7u5u8548a33Cbo+j/Ac8QpKktrY2c62rqqrpdDqfz7diZZC7M6A66Y+maXao4vT5fNFolH1srnQGAAAvQwAEALCVpmmVO4LZoTYkl8spiuK1DKilk0bDMHK5XCaT0TSNPRIKhY676O+te0YA+zj+4jsSiQRb5WoYRqFQaHrhTxV3Z0C92afxMxGZ27rJsmyHxWgAAMAdAiAAgM+Uy2XWKUYQBPPSma9sNouG0E3HNolHuxPwoAPmXUPb/gSs2RDKlRlQnTNwLpcz82WOotGoufOXHcqRAADADhAAAQBsx7x29/l85s4pHLG9zA3D8EgGZNlckXXESKfTbD4M4B35fL6yCM4CLsuA6iz+KhQKZr95jgKBgLmQOZvNYucvAABgEAABAGyHLRFiH4fDYdY+ky9VVc0huZv1s8SjL7zd4mcE4O6L37qZ9xAcrE76I8uyNUVV9bEKVvZxsVhk+xsAAAAQAiAAgN4URTEv4mOxGPdd4YmoXC4Xi0V3FwG5rEYAwM6s73rujj9w+zd+poq3LVVVsfMXAABU4j+rAQCwoUKhwBqj2mRXeCLK5/OyLLs1A+IyOcTOXwBWcnoGVCf9YY2f7bDSKhQKBYNBIjIMwyaBFAAA2AcCIACA2sy+CZIkmVsm85XNZjVNc18G5PRpIYATcQlAnfvHXif9IaKenh47NH6u2vfdDkMCAABbQQAEAFCbpmlm8by5nQpf5k1m92VA1kP5DwAXTsyA6p9g8/m8TfrsYN93AACoT7BDtSoAWKOrq4v3EJwnHo+zcnpVVdPpNO/hEBFJkpRIJIholji76p/EaXvwGNGQYPEXAEePXXsOl+c9+5i/cnnewalT/lMqlWzSpD8SibCdK3VdT6fTuq7zHpHDtLe38x4CEZGmaXxLtwRBCAQCHAcAAC3F/4Y2AICd5XK5QCAgiqLf749Go3ZoqCnLcj6fN+v8K+lvLHVWBuTEWgAANzn+4jt4ZUBOUSf9URTFDm8KRBQIBFj6Q0S5XA7pj3P5fD6fz8d7FADgWlgCBgBQT2UfzXA4bJPbYsVisVAo9F4IRo5aC8Yr/UH5DwB3Tgl/66Q/qqrapPGzIAjmZgXFYlGWZb7jAQAA20IABADQD0VRisUi+9jssMBdoVCouTG8UyD9AbAJXn8U9s+A6m/6bpP0h4hisRirGdE0rVAo8B4OAADYFwIgAID+5fN5c1f4eDzOezhb5fP5crnsxIbQ9p/4AXgKMqDe6qQ/uq5nMhmbLLMKBoOV+77bJJMCAAB7QgAEANAQG+4KT0TZbFaWZSdmQFyg/AfAbuyZATkl/fH5fObiL/NGBQAAQF8QAAEANKRqV3j79GjMZrOKojgoA8LiLwAbwh+IqU76YxhGT08P302aKsViMez7DgAAjUMABADQqFKpxJprCoJgn2ZAbEKiqqojMiB73u0HAMJCMCKqm/4QETvZWjuiPkUiEbYvga7rNtmKHgAAbA4BEADAAGSzWVb5z3aF5z2crcyb0jbPgDhO81DdAGBnNsmA6p8wWbmlZYOpT5Ik7PsOAAADhQAIAGAAKneFD4VC4XCY73hMuq739PToum7bDMgmEzwAqINjVMr9FFHnVNmpd+RyuXK5bOV46vD5fOZ2BNj3HQAAGocACABgYBRFMYvto9GoJEl8x2MytyW2bQbEC8p/AByBYwZUP/3J5/P26bAjCEIikWBrkBVFMZvTAQAA9AsBEADAgJVKJXMyEI/H7dMQWlXVTCZjwwwIi78AnILvnwyXc0X99KdQKBSLRSvHU5/5pqNpmlmRCgAA0AgEQAAAg5HL5VgziMqbsXagqiqbEtgnA+K7siO1LJNaluE4AABnSS3LnH3MX3mPwjr1059SqVQoFKwcT31m2Slr/YbWPwAAMCAIgAAABslsCF3ZjsEOZFm2TwbEN/0x57HIgAD6ZZO01MqTRv30p1wu22p3rWAwaDaey+Vy9tmNHgAAnAIBEADAILG+y4Zh0PYbsthBuVzuqzGElRmQTdIfxiaTWwB7qvrr4FsEZM2po376oyiKrRZY+f3+WCzGPi4UCvbpSA0AAA6CAAgAYPBUVTXvD0cikWAwyHc8lYrFYqFQ6F0ERFZlQNz39KkJGRBAlb6yUXdnQPXTH1VVe3p6WjqAARFF0VxrLMuyrValAQCAgyAAAgAYknK5bPYHjcVifr+f73gqFQqFfD7fqXfYYS2YxerMXVEKBMDY/G+hdRlQv7U/rJt+i559EOLxuCiKVNHlDQAAYBAQAAEADFU+n5dlmYgEQTAv022iWCyyGiWLMyBbLf6qyeZTX4BWa+T1z70bdCvOJP2mP+baXpuIxWKBQICIDMPIZrO2GhsAADiLjWYpAADOlc1mWT9OuzWEJqJSqWRxBmTPxV81IQYCDxrQy557BtRc9dMfWZbtlv6Ew+FQKMQ+7unpQeNnAAAYCgRAAABNwHbkZdOGQCAQjUZ5j2g7pVLJsn3BuKc/g5ivIgMCj3Bi4tnEU0q/e37ZLf2pfDfJ5XKKovAdDwAAOB0CIACA5tA0zWzNUHnP1ibMuU1LMyDu6c+gOXFiDNC4obzCuRcBNeXEUj/9MVNy+6isJy2Xy6VSie94AADABRAAAQA0TeXmLNFo1FYNoYnIXN3QogzIDunPEGeqiIHAfdzxqh7i6aXf9Mfcz9EmKjvKVW43CQAAMBQIgAAAmqlQKJTLZSISBCGRSNiqITQRmf1Na2ZATt8arFl1Cu6YMAM08ZXMvQiIhpAB1U9/zE75tmLuKanrut0WpgEAgHPZa2YCAOACuVxOVVUiEkUxkUgIgsB7RNsxdzjunQHREEqB7FD+01yIgcC5WvHqdWgGVD/9KRQK+Xx+aINqvkgkEgwGaVt3OV3XeY8IAABcAgEQAECTsZ162SW73++3W0NoIlJVNZ1O67rerAzIDulPi2aniIHAWfCKNdWpauzUOzr1jnw+by7atQ9JkiKRCPvYvJ0AAADQFAiAAACar7IhdCgUMq/m7UPTtEwm05QMyMXpjwmTarA/C16lDioCql/4Q0S5XK5YLDZtWE0SCATMxs/FYpEtKAYAAGgWBEAAAC2hKIrZVyISiYTDYb7j6U3TtHQ6rWnaUDIgO6Q/lkEMBPZk5SvTERlQv+lPNpu14aZafr/fXDUsy7IN16YBAIDTIQACAGiVUqlUuSmY3TaGJyJd1zOZzKAzIJukPxbPSBEDgX149tVY5+RTP/1hXXVsWFnj8/nM9EdVVbvtSQ8AAO6AAAgAoIUKhYK5yiAWi0mSxHc8vbEMSFXV5vaEtgyvegTPTrzBJji+Au1QBER9ZECNpD+yLLdyXIPBdgxgu0ay9bnY9gsAAFoBARAAQGvl83nzbnM8Hg8EAnzH0xvLgBRFGVAGZJPyH77YJBxJEFgJLzlT1VmokfRHUZTWj2tgBEFIJBI+n4+2nY2R/gAAQIsIeI8B8I6uri7eQ/CuRCLByn8Mw2AVN7xHVEMsFguFQrPE2TX/VZy2h/mxTdIfm1QimNK7J3kPAVzLbqGPrU4C9WsVO/UOTdN6eno0TbNqXI1i6Q+7MWCuyeU9KI9qb2/nPQQAgJZDAATgIQiAOHLKVX44HGb71teMgVgGZJOJH9kvAGIQA0Fz2S36MdnkVDBn5Lfr/Gun3qEoSk9Pjz2veB1xb8AjEAABgBdgCRgAgBXY6gN2cS+KYjKZZO0e7KZYLLKZUl/LwWwy5SO7pj+EdWHQPHghNWL+pzf19U+dekepVLLtoqp4PG6mP+YbBAAAQOugAgjAQ1ABxB2LflivB7YLuz1Pwmw3YlEUq+qA6ky0LGbb9Kc3FATBQDko9LFPIlxVB8Qi7Hw+b7bht5toNBoOh9nH9mxN7TWoAAIAL7Dj/WcAALfSdb2np0fXdSLy+XzJZJJt+ms3qqqm0+m+tgaDAUFBEDTOcS8V+0SxlfG02fLZtulPJBIx059cLof0BwAArIEACADAUqwXKSv8YYU29syAWKOicrlsZkCPle6yyVDtM+ccEMfN7cEySAmHLhQKsQ9Yy+d0Om3bVCUUCkUiEfZxPp8vlUp8xwMAAN6BJWAAHoIlYPbh9/vN8h9Zlnt6eniPqE9mW2giUlXVrGDixaHpT29YGgauSXy4LwSrXE6lKEo2m+V7mqojGAzG43H2caFQKBQKfMcDJiwBAwAvQAUQAAAHLElhH0uSZM4HbKhYLGazWbNkKZVK+f1+3oNyAxR9eJb7fvUcY1m2waKZ/rCWz7ZNfyrP9qVSCekPAABYDBfxAAB8sNvUbDIQDAY1TbPtZKBcLmuaxtpCsz7WuVyuXC5bPxLXlP9UMoMA1AS5nptCHzvw+XyJRIK11SfbF9T4/X4z/ZFlOZfL8R0PAAB4EJaAAXgIloDZUCgUisVi7GM7b1hDRKIoJhIJs/ynWCzm83krB+DK9KcmJEFu4p3Qx+KFYIFAIB6Pi6JIRIZhZLNZ2zb9oe2X/SqKYnaCA/vAEjAA8AJUAAEA8FQqlURRZA1Bo9GoYRi2bQjK2kLH43FJkogoHA77fD5zdRg0EWqCXMA7uQ8Xlb3J2O6KqqryHVIdrFKJpT9s/S9OmwAAwAUqgAA8BBVAthWLxcwtbLLZLJfVVY2r7Leq63o2m1UUpdVP6p3yn74gDHIEj+c+FhQBiaIYi8VYDE326Exfn8/nSyaTrFKJbU+Ga297QgUQAHgBAiAAD0EAZGfxeDwYDLKPc7mcbeuAmGAwGIvFzF3hLWi9gQDIhCTIbjwe+lRpaQZUueyLiEqlUj6ft/OlbFX6Y+cG1YAACAC8AEvAAABsIZvNEhHLgFi2Yud+QOVyWVXVeDzOWgJFIpFAINC6rZeR/lSqjBsQBvGC0Md6kUiErZYlIsMweLWib5zf72e984lI0zSbVyoBAIAXoAIIwENQAWR/lWvBrO+yPAhVy8FyuVzT+7Ai/WkQwqBWQ+jToKYXAYmiGI/HA4EA+19VVbPZrKZpzX2W5qrs+ozaH0dABRAAeAECIAAPQQDkCJWRiiMyIEmS4vG4uRys6WNGADQICIOaBaHP4DQxA2r1GaYVAoGA2fUZ6Y9TIAACAC/AEjAAAHthLS3YSodwOCwIQi6X4z2oemRZ7u7uNu/Ph8NhthysKffnkf4MTlVsgTyocUh87EMQhEgk0uoaw6arTKxUVc1kMrjbCgAANoEKIAAPQQWQg1Ruclwul1mHIJtreocOpD8tgjyoEhKfFhliEZDP5zO7jBGRoiit6zLWRMFgMB6Ps48VRcGO7w6CCiAA8AIEQAAeggDIWUKhUCwWYx/LspzNZu1/xq7ao6dcLudyuUEPGwGQZbwTCSHusdKgMyDr9xlsisr0xyknbTAhAAIAL8ASMAAAm2I7wbMMiK0psP90QlGUdDodi8UkSSKiYDDo9/uz2ayqqgP9Ukh/rNRXLOLcYAhBj0MJghCNRs1e+LquZ7NZRVH4jqoRTozsAQDAa1ABBOAhqAByIocuKKhcwmYYRqFQGOiu9giAbM4O2RBSHvsbUBGQz+dLJBI+n4/9r4NiFCcu2oUqqAACAC9ABRAAgK2Vy2XDMFhL0UAgkEwmHdFStFgsKooSj8d9Ph+7pe/3+xtfDob0x/4QvkBzhcPhSCTCln0NLjXmpTL9KZVKNm/bDwAAXibyHgAAAPRDlmWz8Mfv9yeTSbPJjp2pqppOp80+0MFgsK2tLRgM9vuJSH8AXKORP2efz5dMJqPRaOW+6U5Jf6LRKNIfAABwCgdMIQAAoHLxl4MyIMMwstmsuYhDFMV4PJ5IJBwxeABoivoZUDgcTqVSgUCA/W+5XE6n04PoGsZFLBYzd6kvFotIfwAAwOZwCQ4A4AyKopiLv9gNc7NThs2xGZ3ZxlWSpLa2NrPJaxWU/wB4hN/vT6VSZuEP6/fslKY/RBSPx83zWKFQyOfzfMcDAADQLzSBBvAQNIF2ARb9sAoaXdczmYymabwH1aiqrZ0VRcnlcpXjR/oD4FaV3aAFQYhEImbtDBGVy+XGe4TZQSKRYHsdElE+n3fKgjWoA02gAcALUAEEAOAkrDuGrutEJIpiMpn0+x3Tzr9cLnd3d8uyzP43EAikUqlIJMJ3VABgATPeZX/4ZvrDzmkOKvwRBCGZTJrpTy6XQ/oDAABOgQAIAMBh2HyJFc6wDKiRzso2oet6T09PT08Py7BYIUAqlfL7/Sj/AXA3QRBisVjl8tVisVi5PtT+fD5fZceibDZbKpX4DgkAAKBxWAIG4CFYAuYmLPox51GFQqFQKPAd0oCwveHNDhqzxNnsA3HaHvwGBQCtor+xlIg69Q72v6qq5nI5pzR7ZgKBQDweZytwWYd7s54RXABLwADAC1ABBADgSLqup9Npc/oRiUT+f3t3HidVeSZ6/DlL7dWNrN3IIgIqIAoCshij4pZwkZhEYxb1mjiJOtdMlhsnTjJJ1MzcmTFxzHaj+STGXEeNC26IjnFhESWyCwbZka2RBhpaumtfzrl/vPSxqK5uGnqprnN+3z/40N2ni9MJjVW/ft/nraqqcsbr9H62bcdisdYzjNSrRACuYa3ZUPh9bdt2IpGooKO+lEAg4JxgqOavUX8AABWHFUCAh7ACyJUikYgzTSOXyzm7qypF4ThYZx2QsBQIqHyF3Uet/Wk9+r0ihMNhZ1pZJf4zi45gBRAALyAAAR5CAHKrYDAYjUbV79WQncr60bqImKYZjUZN0yxsQEIGAipWUf1RC38qbl6ypmlVVVXOyOeKO60MHUcAAuAFBCDAQwhALuaO4RRqKZCmaSwFAipX64U/mUwmFotV3KoZXderq6udkxaTyWQ8Hi/vLaH7EIAAeAEBCPAQApC7GYZRXV3tjIWOx+MV98N2ETEMIxqNqkN2yEBAZSma4fW6NdeyrHg8nk6ny3VLJ800TWfoj5pZVolfBTqOAATACwhAgIcQgFxP07Tq6mrniOJUKhWLxcp7SycnGAxGIpGipUBCBgJ6sdYLf1KpVDwer8SnmoFAIBqNqrH6lmU1NzdX0Fn1ODkEIABeQAACPIQA5BGFY6Gz2Wxzc3PF7byQluHQwWCQDAT0cq3TTyWe8u4IhUKRSET9npHP3kEAAuAFBCDAQwhA3lE4Fjqfzzc1NVXcsTuKYRjhcDgQCAg7woDep3X6yefziUSiQndLaZoWjUbVPzgikslkmpubearsEQQgAF5AAAI8hADkKT6fr7q6Wm1hqNyx0IppmpFIhMFAQO/RetxPhZ7z5dB1vaqqytlCy8hnryEAAfACAhDgIQQgr3HHWGhHIBAIh8OGYbAjDCij1ulHRJLJZCKRqNxnlYUjn0UkFoulUqny3hJ6GAEIgBcQgAAPIQB5kGvGQjtCoVA4HGYwEFAWrfd8pdPpRCJRoZtMFb/fX1VV5ayXbGpqYuSzBxGAAHgBAQjwEAKQN7lvqoWaD60GXZOBgJ5RctJzPB6v9FZSOPK5oiemoZMIQAC8gAAEeAgByMsKX+RYltXU1FShB/Q4DMOIRCJ+v1/IQEB3KjnpOR6PV+5YMUXX9Wg0qv4NEVfEcXQGAQiAFxCAAA8hAHlc4TYHqfyRQIppmtFo1DRNIQMBXa11+lGTnlOpVKU/gfT5fFVVVc7QH0Y+gwAEwAsIQICHEIBgGEZVVZXKJSKSzWabm5styyrvXXVeIBCIRCLqtRwZCOi8kod8pVKpip707ChcEWnbdiwWq9Bz69GFCEAAvIAABHgIAQhy7AAdEbEsKxaLVfpWDhHRNC0YDIZCITIQ0BklD/lywaRnpeis91wu19zc7IKvC51HAALgBQQgwEMIQHAUbQdzzfYHTdPUafFkIOBElVz1k8lk3JF+hG1faBcBCIAXEIAADyEAoZC7fxKuMpBhGEIGAtpV1H2kYMNXMpl0wRZRJRwOh8Nh9XvXrHxEFyIAAfACAhDgIQQgtFb4osh9szD8fn84HGZENFBSyd1elmWp9OOap4i6rldXV7tv9hm6FgEIgBcQgAAPIQChpKJtEel0OhaLuem/Dj6fLxQKcWA84Ggr/SSTSRec8FUoEAhEo1H3bXdFlyMAAfACAhDgIQQgtEXX9Wg0qhKJiOTz+aamJtdsB1PIQIC0kX7y+XwqlXJZ+mk98L65uTmbzZb3rtBrEYAAeAEBCPAQAhDaV3Q0ciKRSCaT5b2lLmeaZigUCgQC0ioDCSUIrlYy/eRyuWQy6aaNn4phGFVVVWz7QscRgAB4AQEI8BACEI7LNM2qqio1O1ncuB1MMQwjFAoFg0H1JguC4GIlZzyLSDabTSaTrhyEXLTtK5FIJBKJ8t4Sej8CEAAvIAABHkIAQkdomhaNRtUaGRHJ5/PNzc25XK68d9UddF1XGUi9UCQDwWVKLvkRV6efon++LMtqampy5T9f6HIEIABeQAACPIQAhI4LBoORSESVEbduB1M0TQsGg8FgsOSZ8UIJQqVpa8mPOtk9lUq5bLyXwyMLGNFNCEAAvIAABHgIAQgnpOjVVDabjcVibn3pKCKmaQaDwUAgUHJBkFCC0Ou1lX5yuVwqlUqn02591lc079m27Xg8nkqlyntXqCwEIABeQAACPIQAhBPV+mVVMpl09zQNTdMCgUAwGFTjY8lA6P3aWfKTTqdTqZS790D5fL5oNOqkahfvWkW3IgAB8AICEOAhBCCcnEAgEIlEdF1Xb+ZyuVgs5vrXVywIQu/n2SU/iqZpkUjEmeYuIqpQu/urRjchAAHwAgIQ4CEEIJw0z77QOu6EIKEEocd5dspPIb/fH41GvRam0X0IQAC8gAAEeAgBCJ3UeqtFLBbLZrPlvauewYIglF1b3Uc8s+RH0XU9Eok4R315YWsqegABCIAXEIAADyEAofOKpgKJx47aKVoQJJQgdL/W3Uc8ueRHCQQC0WhUdVjxwHB69BgCEAAvIAABHkIAQlcxTTMajaoxySJiWVY8Hk+n0+W9q57k8/kCgYDf73d2oFCC0LXa6T4ikslk0ul0JpPxzhM5wzCi0ajP51Nv2radSCSSyWR57wquQQAC4AUEIMBDCEDoWqFQKBwOOz+Kz2QysVjMsqzy3lUP8/l8fr8/EAioEsSQIHRS++t9stlsJpPJZDJe+0bjXxt0NwIQAC8gAAEeQgBCl+Nn8o6OlCAhBqENx+0+Xlvv42C9IXoGAQiAFxCAAA8hAKGbBIPBSCTCVA6lqAQJy4LQhpLRRwq6T6aFN5+teXziGHoYAQiAFxCAAA8hAKH76LoejUb9fr96k3N5RMQwjEAgEAgE2pkYrRCDPOW43cfL630cXj5zEGVBAALgBQQgwEMIQOhugUAgEok4K19yuVwsFsvlcuW9q7IzTVNNjKYEeVb70Uda1vuk0+lsNuvx52aapkUikWAw6LxH1WSP/8+C7kYAAuAFBCDAQwhA6AGtX7yl0+lEIuHZHWGFTNP0+/1+v98ZaCLEIPdqK/pIQfexLEtt8qL7KMFgMBwOE5HR8whAALyAAAR4CAEIPaZo+4baEZZMJvmPjqJpmopBPp/PiUFtlSAhBlWODkafbDaby+XUrz11a71dIBAIh8OF/2h4dqI8yoIABMALCECAhxCA0JM0TQuFQqFQyBkObVlWIpFIpVLlvbHeRtd1X4vj7hE7+in0oN6kI9FHTfZRiD5Fis75EpFMJhOPx1k2iJ5EAALgBQQgwEMIQOh5uq6Hw+HCHWH5fD6RSHCKc0lODPL7/e0fInbMZ9GDelY7xUeOjT65XC6Xy6kdXj1yaxVG1/VIJBIIBJz35HK5eDzO/1zoeQQgAF5AAAI8hACEcjEMIxKJOGeEiUg2m43H4yyFaIdhGGqPmM/nc1ZRCT2oHNovPlIQfUSkcKUPz7Laoo54DwaDrBBEL0EAAuAFBCDAQwhAKC+fzxeJRAo3eqTT6Xg8bllWGe+qIpimqUqQaZrOyiDpQAwSetCJO27ukWOLj7PSR3UfnlkdV9GkZ2aEoTcgAAHwAgIQ4CEEIPQGRUfF27adSqU447njdF03TdMwDNM01W+cD3WkBx19EKpQi47kHjm2+FiWlc/ncy0YVdNxfr8/EokU/qVV3/5UYJQdAQiAFxCAAA8hAKGXKDkfWi0BKO+NVSJ1oJgTgwoXWMmJJCFxexXqYOhRCnOPiFiWlStArTgJpmlGIhGfz+e8h32g6FUIQAC8gAAEeAgBCL0K86G7ibM4SCmcHyQnmIQKVUQeOqHK4yjKPULx6VKtJz3n8/l4PJ7JZMp4V0ARAhAALyAAAR5CAEIvxLqA7qZ6kGEYhmHouq5+bX3ZSYehtnQ+GJ1czWlfydajtnSpX9XeLp4ddQkmPaOCEIAAeAEBCPAQAhB6rZKTQZLJJNNVuklhDGo/DEk3tKFu1TrxKLZtO5XHaT2WZfFEqDtomqYmPTvph0nP6OUIQAC8gAAEeAgBCL1c0dlAIpJOpxOJBBmoZ2iaVrIKaZpWtI+spO7uRG2VnSK2bbeuPPl8nic8PUNN+AoGg4XfyEx6Ru9HAALgBQQgwEMIQOj9Ws+HFpFMJpNIJNgUVkbq/w5Vgpwk1NZv2lpJdHLsFmq1ThHnneo3JIYy0nU9GAwWffOyoxOVggAEwAvM418CAEBPsW1bjQhRiwjUK0m/3+/3+7PZbCKRyGaz5b5HL1I/LlK/dmRBltai5EdN06yqqpKWFV5t6ZDzgwAAGpxJREFUPQj7syqFruuF37BKJpNJJpN8wwIA0HsQgAAAvY5lWfF4PJlMFi4o8Pl8ffr0yeVyyWSSk8J6ObUqp62POkuE1FyenropdD3DMILBYOv0w5I9AAB6IQIQAKCXUgcGORlIVQO1eCQUCpGBgDIyTTMUChUe7i4M7QIAoHcjAAEAejV1eFAqlfL7/eFwWJ0UpjJQOBxOpVKpVIqNQkCP8fl8oVDI7/c777FtW636If0AANCbEYAAABXAtu10Op1OpwOBgJOBDMOIRCKhUEidGU8GArqVz+cLh8M+n895j23b6ruP8dsAAPR+BCAAQCVRGUitBjJNU0R0XQ+Hw8FgkAwEdJPC7zjFsiy+4wAAqCwEIABA5clkMplMpnArispAzmog1iMAXaJwzZ1iWZbalUn6AQCgshCAAACVKpvNZrPZwgykaZo6jjqdTqdSKc4hAk6OruvqeC/nyDYRyefzKv2U8cYAAMBJIwABACqbykCFZxJpmqZeu+ZyuVQqlU6nWaoAdJDf7w8Gg4UznkUkl8tx7h4AAJWOAAQAcINcLtfc3JxIJFQG0jRNREzTjEajkUiEBUFA+0ou+RGRbDabTCYzmUy5bgwAAHQVAhAAwD3y+XwsFovH44FAIBgMqpm1zoKgfD7PsfFAEZ/PFwwG1eo5hzp3j2wKAICbEIAAAG6jjqZOpVKmaapXtmpBkDo2PhwOZzKZVCqVzWbLfadA2ei6rjpp4YBnEWHjJAAAbkUAAgC4Vi6XK7kgKBAIBAIBFgTBm1jyAwCANxGAAAAux4IgQFjyAwCA5xGAAABewYIgeBNLfgAAgBCAAABe4ywIUq+K/X5/0YKgdDqdyWQ49giVzjRNdaZ764O9UqlUJpOhdQIA4CkEIACAR2Wz2Ww265wRpvbFOG/atp3JZNLpdDab5XUyKohpmoFAwO/3F231ctJnPp8v170BAIAyIgABADzNtu1kMplMJosmBDlbw2zbzmazalkQJQi9lmEY6m9sUfcRpvwAAAARIQABAKAUTgjy+/1+v1+9X9M09aZaE6TwQhq9hM/n8/v9gUCgaJ+XiORyObWKjSU/AABACEAAABRytsk43ccZEsSaIPQe7XSffD6fTqfpPgAAoAgBCACAEtQZSel0WtM0n8+nlgU5JchZE0QJQk+i+wAAgJNGAAIAoD3Ozq92SpCIZLNZtd3Gsqxy3zLchn1eAACg8whAAAB0SDslSER8Pp/P54tEIplMRp0vlsvlynvDqGi6rqvuU/jXzEFwBAAAJ4oABADAiWm/BDlrgtRlKgaxOgMdoaKP0vowLxFxthzSfQAAwIkiAAEAcJKcEiSlNuk4Q6NFxLKsbAtiEAppmmaapt/v9/l8pln6iRnrfQAAQOcRgAAA6AIq7sTjcWcFh2mazrIgXdedGJTP550YxOt5b1LRx/mrUvKafD7vrCBjxDgAAOg8AhAAAF1JvWKXtl/kG4ZhGEYwGJSCGMQ5Yl5Q+Peh9VgfKVgpxiYvAADQ5QhAAAB0C3VIvBOD1Mt+v99fONulMAap45zU9GhikGt0PPqwPRAAAHQrAhAAAN3OmRYUj8fbGvRrmqYzAiafz+fz+VwLFoNUEMMwzAIlo49t24W9r+dvEgAAeBABCACAHmVZVjqdTqfTImIYhhODnOnR0rIySJ0mJiIqBjlJ6Lg9KLF9yevrGyU86uIrxp/SxjVHNi5YvCUmfcdfedGoUJd8YZ2SizXU19fX799/sEmqBg4cNHDwqUMHRkucg9UjGt57ZemOzOApc6YO0du/Um30K4w+bV1J9AEAAOVFAAIAoGzUSp9UKiUFMUgFhcLLVA9y3rQsS5UgJwwVPWzYf+idefMPyDDz3PGza0r+yR+teP7P87bZtbPPu7qrv6gTZMd2L3v56ecWbDh0bBTxDRh/8ezPzL5wdJ+ez0AH1r0yb1Fs0qDZrQOQKj6Okoe1O1T0Udu72NkHAADKiwAEAECvUBiD2q8Muq77/X5nfZCqDKoEqSRkD5sxY+j8eXV7lq/4cPacU0v8YR+tXrHdFqmdNm14939l7UjvfOW++5/ZGLPFjNaMHHHaaacN6WckDh+s27h2Q/36Nx55f/XGW39469T+JbZR9RRd1wvX+HSk+DiY6QMAAHoPAhAAAL1O4QBpEdE0rWiyTOHFzoRp53Pz+T5Xzhw979FtdcvXHLhmxKmWlc/nC5efNK5e+YEtMnTatKE99jW1Zte/ft9/zt0Yl+CwT37llq9cOCRQ8LFk/YqnH/jjm3UrHrp/YL97rhnd7c9YNE3TdV3XdcMwgqYmIr5wn/79gyWH+DicfXnqN0xrAgAAvRYBCACA3s5ZV+K8x1mN0nrSsFo9NGzmzDGPbdv04V/XNHx13MijD6KWCFnW4cWrt9oiI2ZcMFjTWsJQLnawbveuXXsactEBg08fO/bUyDHho371S8vrQmMuveysqtyhTSvWbN0bnvD54fteXlNv106aPW3Ysc8oDq3/y9vb05EzLrl8XJ+2vqrGRX96bF1czNHX/PD7s4cWPSPRQrXTbvq+Hfvh71fvW/DG2jmjp/gLP5xPHvpw967dew6mwjXDhg8ffmq/YKlhPW1cZhiGCj3qV0k37tm5fdvOw77aM8acNfLUqD9gaiKiGSVGOBcOY2JXFwAAqCAEIAAAKk9RDypcH6S6hgy4aOY5D296r37Jkq03jDxDCraVSeO7qzfbIqNnXjm2f3+xLMuKbX35/973yLL9Hz9iYODE2TfffNVZ0ZZ37Fszf947A2Ty1PS8n/92YV1WAhed/oWzDr83b94H0cOjzv/a+MIAs/ftp5+eV1d1yR1z2v4Sts1/6t2kaLVXfOXTxfWnRXTanNnLPloVP7Lrg9yUMS0XZQ+sevLBPy3alfz4wsjpV3z1ti9MHlj4OLmDq5584E8LCy+Ljp5z+/e+9okhBZflD678r/+4//mt8ZZ3aP2n3Xb3lS1vqWpWuKWL4gMAACoUAQgAgIqnlvaok8WkZTfTudPOMd5bW79k4fovDR9jGmp/k4g0/nXpBlu0MRd9skZERM9v+X93/vCFvbng8BmfuXTSaafkD25d8dqra9Y+d/992r/cd+MYn21blhX2aSJa41sPvbq4edRl104ZUXvWaP/gIVNPm/vBrnVrtsm5Z4qz+2nvihV1In2mTh/T9hlau5a9s09EO2f2VSPaHqqjDf/Ud/75Ux+/qWla41u/uvvhDSmJjvzEpdPHDokk6ja8s2Dpjtd/e0/jN3/9g5l9dV3XNE079MZP7n5gXVKqzrjkUxeOHxqJ7X7vrVeXbJt/7/f2f+fBH13aVz1gbNmv/ve/Lz5iGwPHz7xoyqh+2X3rly5858E7N/XJikg23njo0HFOAQMAAKgUBCAAANxGrVsJTJx+rm/tuw1LF639fO1oTY7OEoovXLLeFm3sjPOrM5m8YdS/+ND8vbnwebf84kdXDVZzhC79H1dd/MidP3h21/MPzr/0N18YJoZhmLqIfLjkDWvWTx+4bUJVy86omRee/uSuHWvX7+87Y5zYyo5XVu4T6X/h5ZP6VJWan6PruiRWbN4rIjWjzxpUVVX6q9BaHG06miaSXvX48xtS0nfat+698/Ja9SxmzjWzXvm3Ox9cverJ57bMvO1sQ0TSq554fF3y2MuunHP52f9254OrVzz25LrpXz9Lz1u57U/86c0jtjHsiu/d8aUx6lZnXDR15G/+4/H1WRGxLUuEAAQAAFyCpzUAALhU6LwZ5wVFPlqxbLPatmTbdu7w8mWbbNHPOn9CoKmpqbFx2dPPbsnLaXOuvzCaao7H46lUKpPJ+Edfd+MlfcTatXTZ3sKH9E+67oYJhVVn8AUXjBD5aNk7m1SpMQxj51/frhepveSys4OBknw+nzQ2fiQi2tDTRhR9UNu99Dnl2WeffeaZZ+bOnfvUU0+9tdMSEUm8/dLCRtFHf+7vWrKOiIhv6Ke/Nnu4Jg2vvrQsIyJ2/K35CxtFH/WZmy7um08nEolYLHbkSCI89fMzh2jS8Nq8xQ2xWCy+8uXX9tlSfcEXrx3z8ZfkO/WyL15e6uA0AACAysYKIAAA3Mo3Ycbk0IqlR1Yu3/TlMWMNEZGm1au32GKMmzalWkREmvfujYn0GzXEPHzw4DGfHOxXI3Jkx4Z3DxwKmpoWy9giMnjkMGlubhZxVuUMmjJ16OM7697565avnTla03R9x9tv7RM59eKLR7d3a+lMWkRE04p/FJXesuCJJ/5WfPmUQVd/YnjA3rNnjyVy+vmT+qaTSUutN7Isy7ZPGT+xVnbv27N9a8PYGtm5fbclMnzCuOCR5ubChxk8aWLNi3vr9+9vEBncuG9fWiQ6ado437F/2JBp04a+8HxdR/4XBgAAqBgEIAAAXMs3fsb5VUuXNK9evvGGseMNkdjqVZtsMc6eNvnodOf6+noRObzw/u8sLPkIdiyesO2obVu2iEjfPtXOpKGj+pxzXu3TdfV/Xbzu6n7Dxf7gtTf3iwyZel6fxsbGtu/MNsMiYu/c8n7jhBGFH8gOveT668/9+O39q194Y1M8G2tsbAzkP9h9SETrGw00N8ePfbzqvv1E9u0/sF+kJn9wf6OINqB/v1Z/bL8B/UXqDxw8KDL4wIEDIjJo4KBWV/UfMFCTOoY9AwAAVyEAAQDgXsbYGVP7LlnQuHr5+hvGTzCbV6/abIk5wek/og616n/urAtP95d8hP4jCtfH+AO+VlcMmTy5dv7L9WvW7P388FM/WLHikMhp06cOyufz7dxY9bDTquSD5oY9u+P5YcGCD+hDzrtsyMdvZt/Z+KTzxtEk0+podhExDF1ErHzO7vBlpuFr4zIzFPKJZNq5fQAAgIpDAAIAwMW0M2dM77/glUNrlq3/nxNGrVm12RLfedMmhVo+PqimRqQ5OPKTV3+m9mT/jOFTJg94+eUPV6+uvzq1bOUh0U6fPv14D6aNmjihatHbzetff33vjDlD2ppJaO3Yvv3jjmQOrOkrcuhgw2GRgcdeeOjgIREZNGiQ1uHLBg4aIHL4wMH9Iv2Pvaq5oYH6AwAA3IYh0AAAuJk2csb0WpHk2mXvHV6zapMl/vOmnRdwPtyntjYkUr9+/aGiz8tvf/lXP/vZz5/5W1qO67TJU/qL7F2zeunyVY2ijZ4xrf9xP8c85/PXjQ9Kfvf8R97Y38Zuq9zOF/+85EjBO2pqBmsidWvfPVh0Zf276/aJGLW1NR2/rLp2cEgktmblxuyxVx1Zu3bHce8fAACgwhCAAABwt6EzZgwVSa9d8Ke3N+UlOHHahI/7j2jjLr98iJbf9uIf/3tXQerJ7n7liRfXbdoiA0cEWj9iKyMmTRkgsvuVJ5ceEX3M9PNP6ch9nXLBDZ87wye5bXN/9p/PrKovWnOTOfDuvF//Zv5uSy94rhI6/7ILqsX64JWnlx76eGFQrn7xk6/vtqXvJy+b5Ov4Zdq4yy8/VZMjbz/13KaYk6Dyh1c8+eKGoiQEAABQ+Yy777673PcAoIckEoly3wKAMqjql1r7xobDDQcbbQlPveam82sLmorW5/SBh5Yu31a3YcXaXR81x+NN+7Yse+mRxxbsTvtGfvbWL59ziiEiIvVrXlpRZw2ZevWUUmek9w0deuut7c3ZnBjjPnPzzOGl5wkV0SKnj609tH7troP7t658861Vm7bt2Fm3b++2de8sfv2Fp556bd3+8MTrv3WptfRvB2omXTV9uCli1p4W2rJkXd2etcs2NKQyyaZ9m5e/+sSjL2+OS2ji9bfPHqHGCXXsMq16+CkH3165++C2ZSu2fRRPNB3ctuqNuY++8Lf40KH9m5oSgyfPmTqMH5UBnhAOh8t9CwDQ7ZgBBACA2w2cfsHoZ3Zts0Uik6ePL/5vf/Ccr951R/8//H7+hrUL9q5doN4ZqDnvszfeNGdE65nPJWkjp0w65bUFH4l59vRJ0eNff5Q+4Py/+1Ht2BefemHhhoa9G9fs3bjm6EeMqpEX3fjlay8ZFW1ID3t8/cef0v/i79wVeuJ3jyzevnT+9qVH//TIyCu/euu1k/uc6GWRSTff9a2q3/7h1R0bFs/fsFi9b9Snbv/GkEX/9HDx/jEAAICKpqnTPwB4QUNDQ7lvAUB5NG9etHBTk2iDJ8+eOtQodYWdObJvz65duz48ItWDaoefcdbQqmOuq1/90vK6/NDzr55cagWQSGzhz7712Cbf5Ft/efu0UMkr2mNnDu/ctHn3wY9iKT3Up/+po8edWRs+uvgmn0lmbH8oUHg7+WTD3l2799QdTIZqhg0fftqQfsFSS3U6dpmVPFy3a8fOXfuTvr7Dxk0cWxuy9ix/aU394ClzprY5nhqAqwwYMKDctwAA3Y4ABHgIAQhAdzmy6N7vPbrZN+X2X/2vyR3a/wUAvQgBCIAX8HMtAADQSVbdokVbLAlNmn4u9QcAAKBXYgYQAAA4aXtXzl9Xn9iydEGdLf0vvnRCB2cGAQAAoIcRgAAAwEk7sPrFZ1bkRcQ39MqvzR5VcrwQAAAAyo8ZQICHMAMIAACgNWYAAfACZgABAAAAAAC4HAEIAAAAAADA5QhAAAAAAAAALkcAAgAAAAAAcDkCEAAAAAAAgMsRgAAAAAAAAFyOAAQAAAAAAOByBCAAAAAAAACXIwABAAAAAAC4HAEIAAAAAADA5QhAAAAAAAAALkcAAgAAAAAAcDkCEAAAAAAAgMsRgAAAAAAAAFyOAAQAAAAAAOByBCAAAAAAAACXIwABAAAAAAC4HAEIAAAAAADA5QhAAAAAAAAALkcAAgAAAAAAcDkCEAAAAAAAgMsRgAAAAAAAAFyOAAQAAAAAAOByBCAAAAAAAACXM8t9AwB6jqZp5b4FAAAAAEAZaLZtl/seAAAAAAAA0I3YAgYAAAAAAOByBCAAAAAAAACXIwABAAAAAAC4HAEIAAAAAADA5QhAAAAAAAAALkcAAgAAAAAAcDkCEAAAAAAAgMsRgAAAAAAAAFyOAAQAAAAAAOByBCAAAAAAAACXIwABAAAAAAC4HAEIAAAAAADA5QhAAAAAAAAALkcAAgAAAAAAcDkCEAAAAAAAgMsRgAAAAAAAAFyOAAQAAAAAAOByBCAAAAAAAACXIwABAAAAAAC4HAEIAAAAAADA5QhAAAAAAAAALkcAAgAAAAAAcDkCEAAAAAAAgMsRgAAAAAAAAFyOAAQAAAAAAOByBCAAAAAAAACXIwABAIDerPGFO2bNmjVr1v95s9x3AgAAUMHMct8AAABAOzK7lv/lL2+LRL9a7jsBAACoYKwAAgAAAAAAcDkCEAAAAAAAgMuxBQwAAHSVzP51ixas2FLXkAoNHHrm+ZfNnDDIf+wV9vtzf/rMBpERV33/psmh4s/f8+ovHl7WJKdccMu3r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width="768" /></p> +</div> +<div id="coordinate-systems-challenges-2" class="slide section level2"> +<h1>Coordinate systems challenges</h1> +<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">ggplot</span>(<span class="dt">data =</span> mpg, <span class="dt">mapping =</span> <span class="kw">aes</span>(<span class="dt">x =</span> cty, <span class="dt">y =</span> hwy)) <span class="op">+</span></span> +<span id="cb22-2"><a href="#cb22-2"></a><span class="st"> </span><span class="kw">geom_point</span>() <span class="op">+</span><span class="st"> </span><span class="kw">geom_abline</span>()</span></code></pre></div> +<p><img 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width="768" /></p> +</div> +<div id="coordinate-systems-challenges-3" class="slide section level2"> +<h1>Coordinate systems challenges</h1> +<div class="sourceCode" id="cb23"><pre class="sourceCode r"><code class="sourceCode r"><span id="cb23-1"><a href="#cb23-1"></a><span class="kw">ggplot</span>(<span class="dt">data =</span> mpg, <span class="dt">mapping =</span> <span class="kw">aes</span>(<span class="dt">x =</span> cty, <span class="dt">y =</span> hwy)) <span class="op">+</span></span> +<span id="cb23-2"><a href="#cb23-2"></a><span class="st"> </span><span class="kw">geom_point</span>() <span class="op">+</span><span class="st"> </span><span class="kw">geom_abline</span>() <span class="op">+</span><span class="st"> </span><span class="kw">coord_fixed</span>()</span></code></pre></div> +<p><img 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" 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