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<body>
<h1 class="title toc-ignore">Introduction to dendextend</h1>
<h4 class="author">Tal Galili</h4>
<h4 class="date">2024-11-15</h4>
<div id="TOC">
<ul>
<li><a href="#introduction" id="toc-introduction">Introduction</a></li>
<li><a href="#prerequisites" id="toc-prerequisites">Prerequisites</a>
<ul>
<li><a href="#acknowledgement" id="toc-acknowledgement">Acknowledgement</a></li>
<li><a href="#chaining" id="toc-chaining">Chaining</a></li>
<li><a href="#a-dendrogram-is-a-nested-list-of-lists-with-attributes" id="toc-a-dendrogram-is-a-nested-list-of-lists-with-attributes">A
dendrogram is a nested list of lists with attributes</a></li>
<li><a href="#installation" id="toc-installation">Installation</a></li>
</ul></li>
<li><a href="#how-to-explore-a-dendrograms-parameters" id="toc-how-to-explore-a-dendrograms-parameters">How to explore a
dendrogram’s parameters</a>
<ul>
<li><a href="#taking-a-first-look-at-a-dendrogram" id="toc-taking-a-first-look-at-a-dendrogram">Taking a first look at a
dendrogram</a></li>
<li><a href="#getting-nodes-attributes-in-a-depth-first-search" id="toc-getting-nodes-attributes-in-a-depth-first-search">Getting nodes
attributes in a depth-first search</a></li>
</ul></li>
<li><a href="#how-to-change-a-dendrogram" id="toc-how-to-change-a-dendrogram">How to change a dendrogram</a>
<ul>
<li><a href="#the-set-function" id="toc-the-set-function">The “set”
function</a></li>
<li><a href="#two-simple-trees-to-play-with" id="toc-two-simple-trees-to-play-with">Two simple trees to play
with</a></li>
<li><a href="#setting-a-dendrograms-labels" id="toc-setting-a-dendrograms-labels">Setting a dendrogram’s
labels</a></li>
<li><a href="#setting-a-dendrograms-nodesleaves-points" id="toc-setting-a-dendrograms-nodesleaves-points">Setting a dendrogram’s
nodes/leaves (points)</a></li>
<li><a href="#setting-a-dendrograms-branches" id="toc-setting-a-dendrograms-branches">Setting a dendrogram’s
branches</a></li>
<li><a href="#changing-a-dendrograms-structure" id="toc-changing-a-dendrograms-structure">Changing a dendrogram’s
structure</a></li>
<li><a href="#adding-extra-bars-and-rectangles" id="toc-adding-extra-bars-and-rectangles">Adding extra bars and
rectangles</a></li>
</ul></li>
<li><a href="#ggplot2-integration" id="toc-ggplot2-integration">ggplot2
integration</a></li>
<li><a href="#enhancing-other-packages" id="toc-enhancing-other-packages">Enhancing other packages</a>
<ul>
<li><a href="#dendser" id="toc-dendser">DendSer</a></li>
<li><a href="#gplots" id="toc-gplots">gplots</a></li>
<li><a href="#nmf" id="toc-nmf">NMF</a></li>
<li><a href="#heatmaply" id="toc-heatmaply">heatmaply</a></li>
<li><a href="#dynamictreecut" id="toc-dynamictreecut">dynamicTreeCut</a></li>
<li><a href="#pvclust" id="toc-pvclust">pvclust</a></li>
<li><a href="#circlize" id="toc-circlize">circlize</a></li>
</ul></li>
<li><a href="#comparing-two-dendrograms" id="toc-comparing-two-dendrograms">Comparing two dendrograms</a>
<ul>
<li><a href="#dendlist" id="toc-dendlist">dendlist</a></li>
<li><a href="#dend_diff" id="toc-dend_diff">dend_diff</a></li>
<li><a href="#tanglegram" id="toc-tanglegram">tanglegram</a></li>
<li><a href="#correlation-measures" id="toc-correlation-measures">Correlation measures</a></li>
<li><a href="#the-fowlkes-mallows-index-and-the-bk-plot" id="toc-the-fowlkes-mallows-index-and-the-bk-plot">The Fowlkes-Mallows
Index and the Bk plot</a></li>
</ul></li>
<li><a href="#session-info" id="toc-session-info">Session info</a></li>
</ul>
</div>
<!--
%\VignetteEngine{knitr::rmarkdown}
%\VignetteIndexEntry{Introduction to dendextend}
-->
<p><strong>Author</strong>: Tal Galili (homepage: r-statistics.com,
e-mail: <a href="mailto:Tal.Galili@gmail.com" class="email">Tal.Galili@gmail.com</a> )</p>
<p><strong>tl;dr</strong>: the <a href="https://cran.r-project.org/package=dendextend"><em>dendextend
package</em></a> let’s you create figures like this:</p>
<p><img role="img" src="data:image/png;base64,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" style="display: block; margin: auto;" /></p>
<div id="introduction" class="section level2">
<h2>Introduction</h2>
<p>The <a href="https://cran.r-project.org/package=dendextend"><strong><em>dendextend
package</em></strong></a> offers a set of functions for extending
dendrogram objects in R, letting you <strong>visualize</strong> and
<strong>compare</strong> trees of hierarchical clusterings, you can:</p>
<ul>
<li><strong>Adjust a tree’s graphical parameters</strong> - the color,
size, type, etc of its branches, nodes and labels.</li>
<li>Visually and statistically <strong>compare different
dendrograms</strong> to one another.</li>
</ul>
<p>The goal of this document is to introduce you to the basic functions
that dendextend provides, and show how they may be applied. We will make
extensive use of “chaining” (explained next).</p>
</div>
<div id="prerequisites" class="section level2">
<h2>Prerequisites</h2>
<div id="acknowledgement" class="section level3">
<h3>Acknowledgement</h3>
<p>This package was made possible by the the support of my thesis
adviser <a href="http://www.math.tau.ac.il/~ybenja/">Yoav Benjamini</a>,
as well as code contributions from many R users. They are:</p>
<pre><code>#&gt; [1] &quot;Tal Galili &lt;tal.galili@gmail.com&gt; [aut, cre, cph] (https://www.r-statistics.com)&quot;
#&gt; [2] &quot;Gavin Simpson [ctb]&quot;
#&gt; [3] &quot;Gregory Jefferis &lt;jefferis@gmail.com&gt; [ctb] (imported code from his dendroextras package)&quot;
#&gt; [4] &quot;Marco Gallotta [ctb] (a.k.a: marcog)&quot;
#&gt; [5] &quot;Johan Renaudie [ctb] (https://github.com/plannapus)&quot;
#&gt; [6] &quot;R core team [ctb] (Thanks for the Infastructure, and code in the examples)&quot;
#&gt; [7] &quot;Kurt Hornik [ctb]&quot;
#&gt; [8] &quot;Uwe Ligges [ctb]&quot;
#&gt; [9] &quot;Andrej-Nikolai Spiess [ctb]&quot;
#&gt; [10] &quot;Steve Horvath &lt;SHorvath@mednet.ucla.edu&gt; [ctb]&quot;
#&gt; [11] &quot;Peter Langfelder &lt;Peter.Langfelder@gmail.com&gt; [ctb]&quot;
#&gt; [12] &quot;skullkey [ctb]&quot;
#&gt; [13] &quot;Mark Van Der Loo &lt;mark.vanderloo@gmail.com&gt; [ctb] (https://github.com/markvanderloo d3dendrogram)&quot;
#&gt; [14] &quot;Yoav Benjamini [ths]&quot;</code></pre>
<p>The <strong>design</strong> of the dendextend package (and this
manual!) is heavily inspired by <a href="https://hadley.nz/">Hadley
Wickham’s</a> work. Especially his text on <a href="https://r-pkgs.org/">writing an R package</a>, the <a href="https://cran.r-project.org/package=devtools">devtools package</a>,
and the dplyr package (specifically the use of chaining, and the <a href="https://CRAN.R-project.org/package=dplyr/vignettes/dplyr.html">Introduction
text to dplyr</a>).</p>
</div>
<div id="chaining" class="section level3">
<h3>Chaining</h3>
<p>Function calls in dendextend often get a dendrogram and returns a
(modified) dendrogram. This doesn’t lead to particularly elegant code if
you want to do many operations at once. The same is true even in the
first stage of creating a dendrogram.</p>
<p>In order to construct a dendrogram, you will (often) need to go
through several steps. You can either do so while keeping the
intermediate results:</p>
<div class="sourceCode" id="cb2"><pre class="sourceCode r"><code class="sourceCode r"><span id="cb2-1"><a href="#cb2-1" tabindex="-1"></a>d1 <span class="ot">&lt;-</span> <span class="fu">c</span>(<span class="dv">1</span><span class="sc">:</span><span class="dv">5</span>) <span class="co"># some data</span></span>
<span id="cb2-2"><a href="#cb2-2" tabindex="-1"></a>d2 <span class="ot">&lt;-</span> <span class="fu">dist</span>(d1)</span>
<span id="cb2-3"><a href="#cb2-3" tabindex="-1"></a>d3 <span class="ot">&lt;-</span> <span class="fu">hclust</span>(d2, <span class="at">method =</span> <span class="st">&quot;average&quot;</span>)</span>
<span id="cb2-4"><a href="#cb2-4" tabindex="-1"></a>dend <span class="ot">&lt;-</span> <span class="fu">as.dendrogram</span>(d3)</span></code></pre></div>
<p>Or, you can also wrap the function calls inside each other:</p>
<div class="sourceCode" id="cb3"><pre class="sourceCode r"><code class="sourceCode r"><span id="cb3-1"><a href="#cb3-1" tabindex="-1"></a>dend <span class="ot">&lt;-</span> <span class="fu">as.dendrogram</span>(<span class="fu">hclust</span>(<span class="fu">dist</span>(<span class="fu">c</span>(<span class="dv">1</span><span class="sc">:</span><span class="dv">5</span>)), <span class="at">method =</span> <span class="st">&quot;average&quot;</span>))</span></code></pre></div>
<p>However, both solutions are not ideal: the first solution includes
redundant intermediate objects, while the second is difficult to read
(since the order of the operations is from inside to out, while the
arguments are a long way away from the function).</p>
<p>To get around this problem, dendextend encourages the use of the
<code>%&gt;%</code> (“pipe” or “chaining”) operator (imported from the
magrittr package). This turns <code>x %&gt;% f(y)</code> into
<code>f(x, y)</code> so you can use it to rewrite (“chain”) multiple
operations such that they can be read from left-to-right,
top-to-bottom.</p>
<p>For example, the following will be written as it would be
explained:</p>
<div class="sourceCode" id="cb4"><pre class="sourceCode r"><code class="sourceCode r"><span id="cb4-1"><a href="#cb4-1" tabindex="-1"></a>dend <span class="ot">&lt;-</span> <span class="fu">c</span>(<span class="dv">1</span><span class="sc">:</span><span class="dv">5</span>) <span class="sc">%&gt;%</span> <span class="co"># take the a vector from 1 to 5</span></span>
<span id="cb4-2"><a href="#cb4-2" tabindex="-1"></a> dist <span class="sc">%&gt;%</span> <span class="co"># calculate a distance matrix, </span></span>
<span id="cb4-3"><a href="#cb4-3" tabindex="-1"></a> <span class="fu">hclust</span>(<span class="at">method =</span> <span class="st">&quot;average&quot;</span>) <span class="sc">%&gt;%</span> <span class="co"># on it compute hierarchical clustering using the &quot;average&quot; method, </span></span>
<span id="cb4-4"><a href="#cb4-4" tabindex="-1"></a> as.dendrogram <span class="co"># and lastly, turn that object into a dendrogram.</span></span></code></pre></div>
<p>For more details, you may look at:</p>
<ul>
<li><a href="https://cran.r-project.org/package=magrittr">magrittr on
CRAN</a></li>
<li><a href="https://CRAN.R-project.org/package=magrittr/vignettes/magrittr.html">Introduction
to the magrittr package</a></li>
<li><a href="https://www.r-statistics.com/2014/08/simpler-r-coding-with-pipes-the-present-and-future-of-the-magrittr-package/">Simpler
R coding with pipes &gt; the present and future of the magrittr
package</a></li>
</ul>
</div>
<div id="a-dendrogram-is-a-nested-list-of-lists-with-attributes" class="section level3">
<h3>A dendrogram is a nested list of lists with attributes</h3>
<p>The first step is working with dendrograms, is to understand that
they are just a <strong>nested list of lists with attributes</strong>.
Let us explore this for the following (tiny) tree:</p>
<div class="sourceCode" id="cb5"><pre class="sourceCode r"><code class="sourceCode r"><span id="cb5-1"><a href="#cb5-1" tabindex="-1"></a><span class="co"># Create a dend:</span></span>
<span id="cb5-2"><a href="#cb5-2" tabindex="-1"></a>dend <span class="ot">&lt;-</span> <span class="dv">1</span><span class="sc">:</span><span class="dv">2</span> <span class="sc">%&gt;%</span> dist <span class="sc">%&gt;%</span> hclust <span class="sc">%&gt;%</span> as.dendrogram</span>
<span id="cb5-3"><a href="#cb5-3" tabindex="-1"></a><span class="co"># and plot it:</span></span>
<span id="cb5-4"><a href="#cb5-4" tabindex="-1"></a>dend <span class="sc">%&gt;%</span> plot</span></code></pre></div>
<p><img role="img" src="data:image/png;base64,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" /><!-- --></p>
<p>And here is its structure (a nested list of lists with
attributes):</p>
<div class="sourceCode" id="cb6"><pre class="sourceCode r"><code class="sourceCode r"><span id="cb6-1"><a href="#cb6-1" tabindex="-1"></a>dend <span class="sc">%&gt;%</span> unclass <span class="sc">%&gt;%</span> str</span></code></pre></div>
<pre><code>#&gt; List of 2
#&gt; $ : int 1
#&gt; ..- attr(*, &quot;label&quot;)= int 1
#&gt; ..- attr(*, &quot;members&quot;)= int 1
#&gt; ..- attr(*, &quot;height&quot;)= num 0
#&gt; ..- attr(*, &quot;leaf&quot;)= logi TRUE
#&gt; $ : int 2
#&gt; ..- attr(*, &quot;label&quot;)= int 2
#&gt; ..- attr(*, &quot;members&quot;)= int 1
#&gt; ..- attr(*, &quot;height&quot;)= num 0
#&gt; ..- attr(*, &quot;leaf&quot;)= logi TRUE
#&gt; - attr(*, &quot;members&quot;)= int 2
#&gt; - attr(*, &quot;midpoint&quot;)= num 0.5
#&gt; - attr(*, &quot;height&quot;)= num 1</code></pre>
<div class="sourceCode" id="cb8"><pre class="sourceCode r"><code class="sourceCode r"><span id="cb8-1"><a href="#cb8-1" tabindex="-1"></a>dend <span class="sc">%&gt;%</span> class</span></code></pre></div>
<pre><code>#&gt; [1] &quot;dendrogram&quot;</code></pre>
</div>
<div id="installation" class="section level3">
<h3>Installation</h3>
<p>To install the stable version on CRAN use:</p>
<div class="sourceCode" id="cb10"><pre class="sourceCode r"><code class="sourceCode r"><span id="cb10-1"><a href="#cb10-1" tabindex="-1"></a><span class="fu">install.packages</span>(<span class="st">&#39;dendextend&#39;</span>)</span></code></pre></div>
<p>To install the GitHub version:</p>
<div class="sourceCode" id="cb11"><pre class="sourceCode r"><code class="sourceCode r"><span id="cb11-1"><a href="#cb11-1" tabindex="-1"></a>require2 <span class="ot">&lt;-</span> <span class="cf">function</span> (package, ...) {</span>
<span id="cb11-2"><a href="#cb11-2" tabindex="-1"></a> <span class="cf">if</span> (<span class="sc">!</span><span class="fu">require</span>(package)) <span class="fu">install.packages</span>(package); <span class="fu">library</span>(package)</span>
<span id="cb11-3"><a href="#cb11-3" tabindex="-1"></a>}</span>
<span id="cb11-4"><a href="#cb11-4" tabindex="-1"></a></span>
<span id="cb11-5"><a href="#cb11-5" tabindex="-1"></a><span class="do">## require2(&#39;installr&#39;)</span></span>
<span id="cb11-6"><a href="#cb11-6" tabindex="-1"></a><span class="do">## install.Rtools() # run this if you are using Windows and don&#39;t have Rtools installed</span></span>
<span id="cb11-7"><a href="#cb11-7" tabindex="-1"></a></span>
<span id="cb11-8"><a href="#cb11-8" tabindex="-1"></a><span class="co"># Load devtools:</span></span>
<span id="cb11-9"><a href="#cb11-9" tabindex="-1"></a><span class="fu">require2</span>(<span class="st">&quot;devtools&quot;</span>)</span>
<span id="cb11-10"><a href="#cb11-10" tabindex="-1"></a>devtools<span class="sc">::</span><span class="fu">install_github</span>(<span class="st">&#39;talgalili/dendextend&#39;</span>)</span>
<span id="cb11-11"><a href="#cb11-11" tabindex="-1"></a><span class="sc">&lt;!--</span> <span class="fu">require2</span>(<span class="st">&quot;Rcpp&quot;</span>) <span class="sc">-</span><span class="ot">-&gt;</span></span>
<span id="cb11-12"><a href="#cb11-12" tabindex="-1"></a></span>
<span id="cb11-13"><a href="#cb11-13" tabindex="-1"></a><span class="co"># Having colorspace is also useful, since it is used</span></span>
<span id="cb11-14"><a href="#cb11-14" tabindex="-1"></a><span class="co"># In various examples in the vignettes</span></span>
<span id="cb11-15"><a href="#cb11-15" tabindex="-1"></a><span class="fu">require2</span>(<span class="st">&quot;colorspace&quot;</span>)</span></code></pre></div>
<p>And then you may load the package using:</p>
<div class="sourceCode" id="cb12"><pre class="sourceCode r"><code class="sourceCode r"><span id="cb12-1"><a href="#cb12-1" tabindex="-1"></a><span class="fu">library</span>(dendextend)</span></code></pre></div>
</div>
</div>
<div id="how-to-explore-a-dendrograms-parameters" class="section level2">
<h2>How to explore a dendrogram’s parameters</h2>
<div id="taking-a-first-look-at-a-dendrogram" class="section level3">
<h3>Taking a first look at a dendrogram</h3>
<p>For the following simple tree:</p>
<div class="sourceCode" id="cb13"><pre class="sourceCode r"><code class="sourceCode r"><span id="cb13-1"><a href="#cb13-1" tabindex="-1"></a><span class="co"># Create a dend:</span></span>
<span id="cb13-2"><a href="#cb13-2" tabindex="-1"></a>dend <span class="ot">&lt;-</span> <span class="dv">1</span><span class="sc">:</span><span class="dv">5</span> <span class="sc">%&gt;%</span> dist <span class="sc">%&gt;%</span> hclust <span class="sc">%&gt;%</span> as.dendrogram</span>
<span id="cb13-3"><a href="#cb13-3" tabindex="-1"></a><span class="co"># Plot it:</span></span>
<span id="cb13-4"><a href="#cb13-4" tabindex="-1"></a>dend <span class="sc">%&gt;%</span> plot</span></code></pre></div>
<p><img role="img" src="data:image/png;base64,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" /><!-- --></p>
<p>Here are some basic parameters we can get:</p>
<div class="sourceCode" id="cb14"><pre class="sourceCode r"><code class="sourceCode r"><span id="cb14-1"><a href="#cb14-1" tabindex="-1"></a>dend <span class="sc">%&gt;%</span> labels <span class="co"># get the labels of the tree</span></span></code></pre></div>
<pre><code>#&gt; [1] 1 2 5 3 4</code></pre>
<div class="sourceCode" id="cb16"><pre class="sourceCode r"><code class="sourceCode r"><span id="cb16-1"><a href="#cb16-1" tabindex="-1"></a>dend <span class="sc">%&gt;%</span> nleaves <span class="co"># get the number of leaves of the tree</span></span></code></pre></div>
<pre><code>#&gt; [1] 5</code></pre>
<div class="sourceCode" id="cb18"><pre class="sourceCode r"><code class="sourceCode r"><span id="cb18-1"><a href="#cb18-1" tabindex="-1"></a>dend <span class="sc">%&gt;%</span> nnodes <span class="co"># get the number of nodes in the tree (including leaves)</span></span></code></pre></div>
<pre><code>#&gt; [1] 9</code></pre>
<div class="sourceCode" id="cb20"><pre class="sourceCode r"><code class="sourceCode r"><span id="cb20-1"><a href="#cb20-1" tabindex="-1"></a>dend <span class="sc">%&gt;%</span> head <span class="co"># A combination of &quot;str&quot; with &quot;head&quot;</span></span></code></pre></div>
<pre><code>#&gt; --[dendrogram w/ 2 branches and 5 members at h = 4]
#&gt; |--[dendrogram w/ 2 branches and 2 members at h = 1]
#&gt; | |--leaf 1
#&gt; | `--leaf 2
#&gt; `--[dendrogram w/ 2 branches and 3 members at h = 2]
#&gt; |--leaf 5
#&gt; `--[dendrogram w/ 2 branches and 2 members at h = 1]
#&gt; |--leaf 3
#&gt; `--leaf 4
#&gt; etc...</code></pre>
<p>Next let us look at more sophisticated outputs.</p>
</div>
<div id="getting-nodes-attributes-in-a-depth-first-search" class="section level3">
<h3>Getting nodes attributes in a depth-first search</h3>
<p>When extracting (or inserting) attributes from a dendrogram’s nodes,
it is often in a “depth-first search”. <a href="https://en.wikipedia.org/wiki/Depth-first_search">Depth-first
search</a> is when an algorithm for traversing or searching tree or
graph data structures. One starts at the root and explores as far as
possible along each branch before backtracking.</p>
<p>Here is a plot of a tree, illustrating the order in which you should
read the “nodes attributes”:</p>
<p><img role="img" src="data:image/png;base64,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" /><!-- --></p>
<p>We can get several nodes attributes using <code>get_nodes_attr</code>
(notice the order corresponds with what is shown in the above
figure):</p>
<div class="sourceCode" id="cb22"><pre class="sourceCode r"><code class="sourceCode r"><span id="cb22-1"><a href="#cb22-1" tabindex="-1"></a><span class="co"># Create a dend:</span></span>
<span id="cb22-2"><a href="#cb22-2" tabindex="-1"></a>dend <span class="ot">&lt;-</span> <span class="dv">1</span><span class="sc">:</span><span class="dv">5</span> <span class="sc">%&gt;%</span> dist <span class="sc">%&gt;%</span> hclust <span class="sc">%&gt;%</span> as.dendrogram</span>
<span id="cb22-3"><a href="#cb22-3" tabindex="-1"></a><span class="co"># Get various attributes</span></span>
<span id="cb22-4"><a href="#cb22-4" tabindex="-1"></a>dend <span class="sc">%&gt;%</span> <span class="fu">get_nodes_attr</span>(<span class="st">&quot;height&quot;</span>) <span class="co"># node&#39;s height</span></span></code></pre></div>
<pre><code>#&gt; [1] 4 1 0 0 2 0 1 0 0</code></pre>
<div class="sourceCode" id="cb24"><pre class="sourceCode r"><code class="sourceCode r"><span id="cb24-1"><a href="#cb24-1" tabindex="-1"></a>dend <span class="sc">%&gt;%</span> hang.dendrogram <span class="sc">%&gt;%</span> <span class="fu">get_nodes_attr</span>(<span class="st">&quot;height&quot;</span>) <span class="co"># node&#39;s height (after raising the leaves)</span></span></code></pre></div>
<pre><code>#&gt; [1] 4.0 1.0 0.6 0.6 2.0 1.6 1.0 0.6 0.6</code></pre>
<div class="sourceCode" id="cb26"><pre class="sourceCode r"><code class="sourceCode r"><span id="cb26-1"><a href="#cb26-1" tabindex="-1"></a>dend <span class="sc">%&gt;%</span> <span class="fu">get_nodes_attr</span>(<span class="st">&quot;members&quot;</span>) <span class="co"># number of members (leaves) under that node</span></span></code></pre></div>
<pre><code>#&gt; [1] 5 2 1 1 3 1 2 1 1</code></pre>
<div class="sourceCode" id="cb28"><pre class="sourceCode r"><code class="sourceCode r"><span id="cb28-1"><a href="#cb28-1" tabindex="-1"></a>dend <span class="sc">%&gt;%</span> <span class="fu">get_nodes_attr</span>(<span class="st">&quot;members&quot;</span>, <span class="at">id =</span> <span class="fu">c</span>(<span class="dv">2</span>,<span class="dv">5</span>)) <span class="co"># number of members for nodes 2 and 5</span></span></code></pre></div>
<pre><code>#&gt; [1] 2 3</code></pre>
<div class="sourceCode" id="cb30"><pre class="sourceCode r"><code class="sourceCode r"><span id="cb30-1"><a href="#cb30-1" tabindex="-1"></a>dend <span class="sc">%&gt;%</span> <span class="fu">get_nodes_attr</span>(<span class="st">&quot;midpoint&quot;</span>) <span class="co"># how much &quot;left&quot; is this node from its left-most child&#39;s location</span></span></code></pre></div>
<pre><code>#&gt; [1] 1.625 0.500 NA NA 0.750 NA 0.500 NA NA</code></pre>
<div class="sourceCode" id="cb32"><pre class="sourceCode r"><code class="sourceCode r"><span id="cb32-1"><a href="#cb32-1" tabindex="-1"></a>dend <span class="sc">%&gt;%</span> <span class="fu">get_nodes_attr</span>(<span class="st">&quot;leaf&quot;</span>) <span class="co"># is this node a leaf</span></span></code></pre></div>
<pre><code>#&gt; [1] NA NA TRUE TRUE NA TRUE NA TRUE TRUE</code></pre>
<div class="sourceCode" id="cb34"><pre class="sourceCode r"><code class="sourceCode r"><span id="cb34-1"><a href="#cb34-1" tabindex="-1"></a>dend <span class="sc">%&gt;%</span> <span class="fu">get_nodes_attr</span>(<span class="st">&quot;label&quot;</span>) <span class="co"># what is the label on this node</span></span></code></pre></div>
<pre><code>#&gt; [1] NA NA 1 2 NA 5 NA 3 4</code></pre>
<div class="sourceCode" id="cb36"><pre class="sourceCode r"><code class="sourceCode r"><span id="cb36-1"><a href="#cb36-1" tabindex="-1"></a>dend <span class="sc">%&gt;%</span> <span class="fu">get_nodes_attr</span>(<span class="st">&quot;nodePar&quot;</span>) <span class="co"># empty (for now...)</span></span></code></pre></div>
<pre><code>#&gt; [1] NA NA NA NA NA NA NA NA NA</code></pre>
<div class="sourceCode" id="cb38"><pre class="sourceCode r"><code class="sourceCode r"><span id="cb38-1"><a href="#cb38-1" tabindex="-1"></a>dend <span class="sc">%&gt;%</span> <span class="fu">get_nodes_attr</span>(<span class="st">&quot;edgePar&quot;</span>) <span class="co"># empty (for now...)</span></span></code></pre></div>
<pre><code>#&gt; [1] NA NA NA NA NA NA NA NA NA</code></pre>
<p>A similar function for leaves only is
<code>get_leaves_attr</code></p>
</div>
</div>
<div id="how-to-change-a-dendrogram" class="section level2">
<h2>How to change a dendrogram</h2>
<div id="the-set-function" class="section level3">
<h3>The “set” function</h3>
<p>The fastest way to start changing parameters with dendextend is by
using the <code>set</code> function. It is written as:
<code>set(object, what, value)</code>, and accepts the following
parameters:</p>
<ol style="list-style-type: decimal">
<li><strong>object</strong>: a dendrogram object,</li>
<li><strong>what</strong>: a character indicating what is the property
of the tree that should be set/updated</li>
<li><strong>value</strong>: a vector with the value to set in the tree
(the type of the value depends on the “what”). Many times, vectors which
are too short are recycled.</li>
</ol>
<p>The <strong>what</strong> parameter accepts many options, each uses
some general function in the background. These options deal with labels,
nodes and branches. They are:</p>
<ul>
<li>labels - set the labels (using
<code>labels&lt;-.dendrogram</code>)</li>
<li>labels_colors - set the labels’ colors (using
<code>color_labels</code>)</li>
<li>labels_cex - set the labels’ size (using
<code>assign_values_to_leaves_nodePar</code>)</li>
<li>labels_to_character - set the labels’ to be characters</li>
<li>leaves_pch - set the leaves’ point type (using
<code>assign_values_to_leaves_nodePar</code>)</li>
<li>leaves_cex - set the leaves’ point size (using
<code>assign_values_to_leaves_nodePar</code>)</li>
<li>leaves_col - set the leaves’ point color (using
<code>assign_values_to_leaves_nodePar</code>)</li>
<li>leaves_bg - set the leaves’ point background color (available only
for pch 21-25, using <code>assign_values_to_nodes_nodePar</code>)</li>
<li>nodes_pch - set the nodes’ point type (using
<code>assign_values_to_nodes_nodePar</code>)</li>
<li>nodes_cex - set the nodes’ point size (using
<code>assign_values_to_nodes_nodePar</code>)</li>
<li>nodes_col - set the nodes’ point color (using
<code>assign_values_to_nodes_nodePar</code>)</li>
<li>nodes_bg - set the nodes’ point background color (available only for
pch 21-25, using <code>assign_values_to_nodes_nodePar</code>)</li>
<li>hang_leaves - hang the leaves (using
<code>hang.dendrogram</code>)</li>
<li>branches_k_color - color the branches (using
<code>color_branches</code>)</li>
<li>branches_col - set the color of branches (using
<code>assign_values_to_branches_edgePar</code>)</li>
<li>branches_lwd - set the line width of branches (using
<code>assign_values_to_branches_edgePar</code>)</li>
<li>branches_lty - set the line type of branches (using
<code>assign_values_to_branches_edgePar</code>)</li>
<li>by_labels_branches_col - set the color of branches with specific
labels (using <code>branches_attr_by_labels</code>)</li>
<li>by_labels_branches_lwd - set the line width of branches with
specific labels (using <code>branches_attr_by_labels</code>)</li>
<li>by_labels_branches_lty - set the line type of branches with specific
labels (using <code>branches_attr_by_labels</code>)</li>
<li>clear_branches - clear branches’ attributes (using
<code>remove_branches_edgePar</code>)</li>
<li>clear_leaves - clear leaves’ attributes (using
<code>remove_branches_edgePar</code>)</li>
</ul>
</div>
<div id="two-simple-trees-to-play-with" class="section level3">
<h3>Two simple trees to play with</h3>
<p>For illustration purposes, we will create several small tree, and
demonstrate these functions on them.</p>
<div class="sourceCode" id="cb40"><pre class="sourceCode r"><code class="sourceCode r"><span id="cb40-1"><a href="#cb40-1" tabindex="-1"></a>dend13 <span class="ot">&lt;-</span> <span class="fu">c</span>(<span class="dv">1</span><span class="sc">:</span><span class="dv">3</span>) <span class="sc">%&gt;%</span> <span class="co"># take some data</span></span>
<span id="cb40-2"><a href="#cb40-2" tabindex="-1"></a> dist <span class="sc">%&gt;%</span> <span class="co"># calculate a distance matrix, </span></span>
<span id="cb40-3"><a href="#cb40-3" tabindex="-1"></a> <span class="fu">hclust</span>(<span class="at">method =</span> <span class="st">&quot;average&quot;</span>) <span class="sc">%&gt;%</span> <span class="co"># on it compute hierarchical clustering using the &quot;average&quot; method, </span></span>
<span id="cb40-4"><a href="#cb40-4" tabindex="-1"></a> as.dendrogram <span class="co"># and lastly, turn that object into a dendrogram.</span></span>
<span id="cb40-5"><a href="#cb40-5" tabindex="-1"></a><span class="co"># same, but for 5 leaves:</span></span>
<span id="cb40-6"><a href="#cb40-6" tabindex="-1"></a>dend15 <span class="ot">&lt;-</span> <span class="fu">c</span>(<span class="dv">1</span><span class="sc">:</span><span class="dv">5</span>) <span class="sc">%&gt;%</span> dist <span class="sc">%&gt;%</span> <span class="fu">hclust</span>(<span class="at">method =</span> <span class="st">&quot;average&quot;</span>) <span class="sc">%&gt;%</span> as.dendrogram</span>
<span id="cb40-7"><a href="#cb40-7" tabindex="-1"></a></span>
<span id="cb40-8"><a href="#cb40-8" tabindex="-1"></a><span class="fu">par</span>(<span class="at">mfrow =</span> <span class="fu">c</span>(<span class="dv">1</span>,<span class="dv">2</span>))</span>
<span id="cb40-9"><a href="#cb40-9" tabindex="-1"></a>dend13 <span class="sc">%&gt;%</span> <span class="fu">plot</span>(<span class="at">main=</span><span class="st">&quot;dend13&quot;</span>)</span>
<span id="cb40-10"><a href="#cb40-10" tabindex="-1"></a>dend15 <span class="sc">%&gt;%</span> <span class="fu">plot</span>(<span class="at">main=</span><span class="st">&quot;dend15&quot;</span>)</span>
<span id="cb40-11"><a href="#cb40-11" tabindex="-1"></a><span class="co"># we could have also used plot(dend)</span></span></code></pre></div>
<p><img role="img" 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" /><!-- --></p>
</div>
<div id="setting-a-dendrograms-labels" class="section level3">
<h3>Setting a dendrogram’s labels</h3>
<p>We can get a vector with the tree’s labels:</p>
<div class="sourceCode" id="cb41"><pre class="sourceCode r"><code class="sourceCode r"><span id="cb41-1"><a href="#cb41-1" tabindex="-1"></a><span class="co"># get the labels:</span></span>
<span id="cb41-2"><a href="#cb41-2" tabindex="-1"></a>dend15 <span class="sc">%&gt;%</span> labels</span></code></pre></div>
<pre><code>#&gt; [1] 1 2 5 3 4</code></pre>
<div class="sourceCode" id="cb43"><pre class="sourceCode r"><code class="sourceCode r"><span id="cb43-1"><a href="#cb43-1" tabindex="-1"></a><span class="co"># this is just like labels(dend)</span></span></code></pre></div>
<p>Notice how the tree’s labels are not 1 to 5 by order, since the tree
happened to place them in a different order. We can change the names of
the labels:</p>
<div class="sourceCode" id="cb44"><pre class="sourceCode r"><code class="sourceCode r"><span id="cb44-1"><a href="#cb44-1" tabindex="-1"></a><span class="co"># change the labels, and then print them:</span></span>
<span id="cb44-2"><a href="#cb44-2" tabindex="-1"></a>dend15 <span class="sc">%&gt;%</span> <span class="fu">set</span>(<span class="st">&quot;labels&quot;</span>, <span class="fu">c</span>(<span class="dv">111</span><span class="sc">:</span><span class="dv">115</span>)) <span class="sc">%&gt;%</span> labels</span></code></pre></div>
<pre><code>#&gt; [1] 111 112 113 114 115</code></pre>
<div class="sourceCode" id="cb46"><pre class="sourceCode r"><code class="sourceCode r"><span id="cb46-1"><a href="#cb46-1" tabindex="-1"></a><span class="co"># could also be done using:</span></span>
<span id="cb46-2"><a href="#cb46-2" tabindex="-1"></a><span class="co"># labels(dend) &lt;- c(111:115)</span></span></code></pre></div>
<p>We can change the type of labels to be characters. Not doing so may
be a source of various bugs and problems in many functions.</p>
<div class="sourceCode" id="cb47"><pre class="sourceCode r"><code class="sourceCode r"><span id="cb47-1"><a href="#cb47-1" tabindex="-1"></a>dend15 <span class="sc">%&gt;%</span> labels</span></code></pre></div>
<pre><code>#&gt; [1] 1 2 5 3 4</code></pre>
<div class="sourceCode" id="cb49"><pre class="sourceCode r"><code class="sourceCode r"><span id="cb49-1"><a href="#cb49-1" tabindex="-1"></a>dend15 <span class="sc">%&gt;%</span> <span class="fu">set</span>(<span class="st">&quot;labels_to_char&quot;</span>) <span class="sc">%&gt;%</span> labels</span></code></pre></div>
<pre><code>#&gt; [1] &quot;1&quot; &quot;2&quot; &quot;5&quot; &quot;3&quot; &quot;4&quot;</code></pre>
<p>We may also change their color and size:</p>
<div class="sourceCode" id="cb51"><pre class="sourceCode r"><code class="sourceCode r"><span id="cb51-1"><a href="#cb51-1" tabindex="-1"></a><span class="fu">par</span>(<span class="at">mfrow =</span> <span class="fu">c</span>(<span class="dv">1</span>,<span class="dv">2</span>))</span>
<span id="cb51-2"><a href="#cb51-2" tabindex="-1"></a>dend15 <span class="sc">%&gt;%</span> <span class="fu">set</span>(<span class="st">&quot;labels_col&quot;</span>, <span class="st">&quot;blue&quot;</span>) <span class="sc">%&gt;%</span> <span class="fu">plot</span>(<span class="at">main =</span> <span class="st">&quot;Change label&#39;s color&quot;</span>) <span class="co"># change color </span></span>
<span id="cb51-3"><a href="#cb51-3" tabindex="-1"></a>dend15 <span class="sc">%&gt;%</span> <span class="fu">set</span>(<span class="st">&quot;labels_cex&quot;</span>, <span class="dv">2</span>) <span class="sc">%&gt;%</span> <span class="fu">plot</span>(<span class="at">main =</span> <span class="st">&quot;Change label&#39;s size&quot;</span>) <span class="co"># change color </span></span></code></pre></div>
<p><img role="img" src="data:image/png;base64,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" /><!-- --></p>
<p>The function recycles, from left to right, the vector of values we
give it. We can use this to create more complex patterns:</p>
<div class="sourceCode" id="cb52"><pre class="sourceCode r"><code class="sourceCode r"><span id="cb52-1"><a href="#cb52-1" tabindex="-1"></a><span class="co"># Produce a more complex dendrogram:</span></span>
<span id="cb52-2"><a href="#cb52-2" tabindex="-1"></a>dend15_2 <span class="ot">&lt;-</span> dend15 <span class="sc">%&gt;%</span> </span>
<span id="cb52-3"><a href="#cb52-3" tabindex="-1"></a> <span class="fu">set</span>(<span class="st">&quot;labels&quot;</span>, <span class="fu">c</span>(<span class="dv">111</span><span class="sc">:</span><span class="dv">115</span>)) <span class="sc">%&gt;%</span> <span class="co"># change labels</span></span>
<span id="cb52-4"><a href="#cb52-4" tabindex="-1"></a> <span class="fu">set</span>(<span class="st">&quot;labels_col&quot;</span>, <span class="fu">c</span>(<span class="dv">1</span>,<span class="dv">2</span>,<span class="dv">3</span>)) <span class="sc">%&gt;%</span> <span class="co"># change color </span></span>
<span id="cb52-5"><a href="#cb52-5" tabindex="-1"></a> <span class="fu">set</span>(<span class="st">&quot;labels_cex&quot;</span>, <span class="fu">c</span>(<span class="dv">2</span>,<span class="dv">1</span>)) <span class="co"># change size</span></span>
<span id="cb52-6"><a href="#cb52-6" tabindex="-1"></a></span>
<span id="cb52-7"><a href="#cb52-7" tabindex="-1"></a><span class="fu">par</span>(<span class="at">mfrow =</span> <span class="fu">c</span>(<span class="dv">1</span>,<span class="dv">2</span>))</span>
<span id="cb52-8"><a href="#cb52-8" tabindex="-1"></a>dend15 <span class="sc">%&gt;%</span> <span class="fu">plot</span>(<span class="at">main =</span> <span class="st">&quot;Before&quot;</span>)</span>
<span id="cb52-9"><a href="#cb52-9" tabindex="-1"></a>dend15_2 <span class="sc">%&gt;%</span> <span class="fu">plot</span>(<span class="at">main =</span> <span class="st">&quot;After&quot;</span>)</span></code></pre></div>
<p><img role="img" src="data:image/png;base64,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" /><!-- --></p>
<p>Notice how these “labels parameters” are nested within the nodePar
attribute:</p>
<div class="sourceCode" id="cb53"><pre class="sourceCode r"><code class="sourceCode r"><span id="cb53-1"><a href="#cb53-1" tabindex="-1"></a><span class="co"># looking at only the left-most node of the &quot;after tree&quot;:</span></span>
<span id="cb53-2"><a href="#cb53-2" tabindex="-1"></a>dend15_2[[<span class="dv">1</span>]][[<span class="dv">1</span>]] <span class="sc">%&gt;%</span> unclass <span class="sc">%&gt;%</span> str </span></code></pre></div>
<pre><code>#&gt; int 1
#&gt; - attr(*, &quot;label&quot;)= int 111
#&gt; - attr(*, &quot;members&quot;)= int 1
#&gt; - attr(*, &quot;height&quot;)= num 0
#&gt; - attr(*, &quot;leaf&quot;)= logi TRUE
#&gt; - attr(*, &quot;nodePar&quot;)=List of 3
#&gt; ..$ lab.col: num 1
#&gt; ..$ pch : logi NA
#&gt; ..$ lab.cex: num 2</code></pre>
<div class="sourceCode" id="cb55"><pre class="sourceCode r"><code class="sourceCode r"><span id="cb55-1"><a href="#cb55-1" tabindex="-1"></a><span class="co"># looking at only the nodePar attributes in this sub-tree:</span></span>
<span id="cb55-2"><a href="#cb55-2" tabindex="-1"></a>dend15_2[[<span class="dv">1</span>]][[<span class="dv">1</span>]] <span class="sc">%&gt;%</span> <span class="fu">get_nodes_attr</span>(<span class="st">&quot;nodePar&quot;</span>) </span></code></pre></div>
<pre><code>#&gt; [,1]
#&gt; lab.col 1
#&gt; pch NA
#&gt; lab.cex 2</code></pre>
<p>When it comes to color, we can also set the parameter “k”, which will
cut the tree into k clusters, and assign a different color to each label
(based on its cluster):</p>
<div class="sourceCode" id="cb57"><pre class="sourceCode r"><code class="sourceCode r"><span id="cb57-1"><a href="#cb57-1" tabindex="-1"></a><span class="fu">par</span>(<span class="at">mfrow =</span> <span class="fu">c</span>(<span class="dv">1</span>,<span class="dv">2</span>))</span>
<span id="cb57-2"><a href="#cb57-2" tabindex="-1"></a>dend15 <span class="sc">%&gt;%</span> <span class="fu">set</span>(<span class="st">&quot;labels_cex&quot;</span>, <span class="dv">2</span>) <span class="sc">%&gt;%</span> <span class="fu">set</span>(<span class="st">&quot;labels_col&quot;</span>, <span class="at">value =</span> <span class="fu">c</span>(<span class="dv">3</span>,<span class="dv">4</span>)) <span class="sc">%&gt;%</span> </span>
<span id="cb57-3"><a href="#cb57-3" tabindex="-1"></a> <span class="fu">plot</span>(<span class="at">main =</span> <span class="st">&quot;Recycles color </span><span class="sc">\n</span><span class="st">from left to right&quot;</span>)</span>
<span id="cb57-4"><a href="#cb57-4" tabindex="-1"></a>dend15 <span class="sc">%&gt;%</span> <span class="fu">set</span>(<span class="st">&quot;labels_cex&quot;</span>, <span class="dv">2</span>) <span class="sc">%&gt;%</span> <span class="fu">set</span>(<span class="st">&quot;labels_col&quot;</span>, <span class="at">value =</span> <span class="fu">c</span>(<span class="dv">3</span>,<span class="dv">4</span>), <span class="at">k=</span><span class="dv">2</span>) <span class="sc">%&gt;%</span> </span>
<span id="cb57-5"><a href="#cb57-5" tabindex="-1"></a> <span class="fu">plot</span>(<span class="at">main =</span> <span class="st">&quot;Color labels </span><span class="sc">\n</span><span class="st">per cluster&quot;</span>)</span>
<span id="cb57-6"><a href="#cb57-6" tabindex="-1"></a><span class="fu">abline</span>(<span class="at">h =</span> <span class="dv">2</span>, <span class="at">lty =</span> <span class="dv">2</span>)</span></code></pre></div>
<p><img role="img" src="data:image/png;base64,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" /><!-- --></p>
</div>
<div id="setting-a-dendrograms-nodesleaves-points" class="section level3">
<h3>Setting a dendrogram’s nodes/leaves (points)</h3>
<p>Each node in a tree can be represented and controlled using the
<code>assign_values_to_nodes_nodePar</code>, and for the special case of
the nodes of leaves, the <code>assign_values_to_leaves_nodePar</code>
function is more appropriate (and faster) to use. We can control the
following properties: pch (point type), cex (point size), and col (point
color). For pch we can additionally set bg (“background”, although it’s
really a fill for the shape). When bg is set, the outline of the point
is defined by col and the internal fill is determined by bg. For
example:</p>
<div class="sourceCode" id="cb58"><pre class="sourceCode r"><code class="sourceCode r"><span id="cb58-1"><a href="#cb58-1" tabindex="-1"></a><span class="fu">par</span>(<span class="at">mfrow =</span> <span class="fu">c</span>(<span class="dv">2</span>,<span class="dv">3</span>))</span>
<span id="cb58-2"><a href="#cb58-2" tabindex="-1"></a>dend13 <span class="sc">%&gt;%</span> <span class="fu">set</span>(<span class="st">&quot;nodes_pch&quot;</span>, <span class="dv">19</span>) <span class="sc">%&gt;%</span> <span class="fu">plot</span>(<span class="at">main =</span> <span class="st">&quot;(1) Show the</span><span class="sc">\n</span><span class="st"> nodes (as a dot)&quot;</span>) <span class="co">#1</span></span>
<span id="cb58-3"><a href="#cb58-3" tabindex="-1"></a>dend13 <span class="sc">%&gt;%</span> <span class="fu">set</span>(<span class="st">&quot;nodes_pch&quot;</span>, <span class="dv">19</span>) <span class="sc">%&gt;%</span> <span class="fu">set</span>(<span class="st">&quot;nodes_cex&quot;</span>, <span class="dv">2</span>) <span class="sc">%&gt;%</span> </span>
<span id="cb58-4"><a href="#cb58-4" tabindex="-1"></a> <span class="fu">plot</span>(<span class="at">main =</span> <span class="st">&quot;(2) Show (larger)</span><span class="sc">\n</span><span class="st"> nodes&quot;</span>) <span class="co">#2</span></span>
<span id="cb58-5"><a href="#cb58-5" tabindex="-1"></a>dend13 <span class="sc">%&gt;%</span> <span class="fu">set</span>(<span class="st">&quot;nodes_pch&quot;</span>, <span class="dv">19</span>) <span class="sc">%&gt;%</span> <span class="fu">set</span>(<span class="st">&quot;nodes_cex&quot;</span>, <span class="dv">2</span>) <span class="sc">%&gt;%</span> <span class="fu">set</span>(<span class="st">&quot;nodes_col&quot;</span>, <span class="dv">3</span>) <span class="sc">%&gt;%</span> </span>
<span id="cb58-6"><a href="#cb58-6" tabindex="-1"></a> <span class="fu">plot</span>(<span class="at">main =</span> <span class="st">&quot;(3) Show (larger+colored)</span><span class="sc">\n</span><span class="st"> nodes&quot;</span>) <span class="co">#3</span></span>
<span id="cb58-7"><a href="#cb58-7" tabindex="-1"></a></span>
<span id="cb58-8"><a href="#cb58-8" tabindex="-1"></a>dend13 <span class="sc">%&gt;%</span> <span class="fu">set</span>(<span class="st">&quot;leaves_pch&quot;</span>, <span class="dv">21</span>) <span class="sc">%&gt;%</span> <span class="fu">plot</span>(<span class="at">main =</span> <span class="st">&quot;(4) Show the leaves</span><span class="sc">\n</span><span class="st"> (as empty circles)&quot;</span>) <span class="co">#4</span></span>
<span id="cb58-9"><a href="#cb58-9" tabindex="-1"></a>dend13 <span class="sc">%&gt;%</span> <span class="fu">set</span>(<span class="st">&quot;leaves_pch&quot;</span>, <span class="dv">21</span>) <span class="sc">%&gt;%</span> <span class="fu">set</span>(<span class="st">&quot;leaves_cex&quot;</span>, <span class="dv">2</span>) <span class="sc">%&gt;%</span> </span>
<span id="cb58-10"><a href="#cb58-10" tabindex="-1"></a> <span class="fu">plot</span>(<span class="at">main =</span> <span class="st">&quot;(5) Show (larger)</span><span class="sc">\n</span><span class="st"> leaf circles&quot;</span>) <span class="co">#5</span></span>
<span id="cb58-11"><a href="#cb58-11" tabindex="-1"></a>dend13 <span class="sc">%&gt;%</span> </span>
<span id="cb58-12"><a href="#cb58-12" tabindex="-1"></a> <span class="fu">set</span>(<span class="st">&quot;leaves_pch&quot;</span>, <span class="dv">21</span>) <span class="sc">%&gt;%</span> </span>
<span id="cb58-13"><a href="#cb58-13" tabindex="-1"></a> <span class="fu">set</span>(<span class="st">&quot;leaves_bg&quot;</span>, <span class="st">&quot;gold&quot;</span>) <span class="sc">%&gt;%</span> </span>
<span id="cb58-14"><a href="#cb58-14" tabindex="-1"></a> <span class="fu">set</span>(<span class="st">&quot;leaves_cex&quot;</span>, <span class="dv">2</span>) <span class="sc">%&gt;%</span> </span>
<span id="cb58-15"><a href="#cb58-15" tabindex="-1"></a> <span class="fu">set</span>(<span class="st">&quot;leaves_col&quot;</span>, <span class="st">&quot;darkred&quot;</span>) <span class="sc">%&gt;%</span> </span>
<span id="cb58-16"><a href="#cb58-16" tabindex="-1"></a> <span class="fu">plot</span>(<span class="at">main =</span> <span class="st">&quot;(6) Show (larger+colored+filled)</span><span class="sc">\n</span><span class="st"> leaves&quot;</span>) <span class="co">#6</span></span></code></pre></div>
<p><img role="img" src="data:image/png;base64,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" /><!-- --></p>
<p>And with recycling we can produce more complex outputs:</p>
<div class="sourceCode" id="cb59"><pre class="sourceCode r"><code class="sourceCode r"><span id="cb59-1"><a href="#cb59-1" tabindex="-1"></a><span class="fu">par</span>(<span class="at">mfrow =</span> <span class="fu">c</span>(<span class="dv">1</span>,<span class="dv">2</span>))</span>
<span id="cb59-2"><a href="#cb59-2" tabindex="-1"></a>dend15 <span class="sc">%&gt;%</span> <span class="fu">set</span>(<span class="st">&quot;nodes_pch&quot;</span>, <span class="fu">c</span>(<span class="dv">19</span>,<span class="dv">1</span>,<span class="dv">4</span>)) <span class="sc">%&gt;%</span> <span class="fu">set</span>(<span class="st">&quot;nodes_cex&quot;</span>, <span class="fu">c</span>(<span class="dv">2</span>,<span class="dv">1</span>,<span class="dv">2</span>)) <span class="sc">%&gt;%</span> <span class="fu">set</span>(<span class="st">&quot;nodes_col&quot;</span>, <span class="fu">c</span>(<span class="dv">3</span>,<span class="dv">4</span>)) <span class="sc">%&gt;%</span> </span>
<span id="cb59-3"><a href="#cb59-3" tabindex="-1"></a> <span class="fu">plot</span>(<span class="at">main =</span> <span class="st">&quot;Adjust nodes&quot;</span>)</span>
<span id="cb59-4"><a href="#cb59-4" tabindex="-1"></a>dend15 <span class="sc">%&gt;%</span> <span class="fu">set</span>(<span class="st">&quot;leaves_pch&quot;</span>, <span class="fu">c</span>(<span class="dv">19</span>,<span class="dv">1</span>,<span class="dv">4</span>)) <span class="sc">%&gt;%</span> <span class="fu">set</span>(<span class="st">&quot;leaves_cex&quot;</span>, <span class="fu">c</span>(<span class="dv">2</span>,<span class="dv">1</span>,<span class="dv">2</span>)) <span class="sc">%&gt;%</span> <span class="fu">set</span>(<span class="st">&quot;leaves_col&quot;</span>, <span class="fu">c</span>(<span class="dv">3</span>,<span class="dv">4</span>)) <span class="sc">%&gt;%</span></span>
<span id="cb59-5"><a href="#cb59-5" tabindex="-1"></a> <span class="fu">plot</span>(<span class="at">main =</span> <span class="st">&quot;Adjust nodes</span><span class="sc">\n</span><span class="st">(but only for leaves)&quot;</span>)</span></code></pre></div>
<p><img role="img" src="data:image/png;base64,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" /><!-- --></p>
<p>Notice how recycling works in a depth-first order (which is just left
to right, when we only adjust the leaves). Here are the node’s
parameters after adjustment:</p>
<div class="sourceCode" id="cb60"><pre class="sourceCode r"><code class="sourceCode r"><span id="cb60-1"><a href="#cb60-1" tabindex="-1"></a>dend15 <span class="sc">%&gt;%</span> <span class="fu">set</span>(<span class="st">&quot;nodes_pch&quot;</span>, <span class="fu">c</span>(<span class="dv">19</span>,<span class="dv">1</span>,<span class="dv">4</span>)) <span class="sc">%&gt;%</span></span>
<span id="cb60-2"><a href="#cb60-2" tabindex="-1"></a> <span class="fu">set</span>(<span class="st">&quot;nodes_cex&quot;</span>, <span class="fu">c</span>(<span class="dv">2</span>,<span class="dv">1</span>,<span class="dv">2</span>)) <span class="sc">%&gt;%</span> <span class="fu">set</span>(<span class="st">&quot;nodes_col&quot;</span>, <span class="fu">c</span>(<span class="dv">3</span>,<span class="dv">4</span>)) <span class="sc">%&gt;%</span> <span class="fu">get_nodes_attr</span>(<span class="st">&quot;nodePar&quot;</span>)</span></code></pre></div>
<pre><code>#&gt; [,1] [,2] [,3] [,4] [,5] [,6] [,7] [,8] [,9]
#&gt; pch 19 1 4 19 1 4 19 1 4
#&gt; cex 2 1 2 2 1 2 2 1 2
#&gt; col 3 4 3 4 3 4 3 4 3</code></pre>
<p>We can also change the height of of the leaves by using the
<code>hang.dendrogram</code> function:</p>
<div class="sourceCode" id="cb62"><pre class="sourceCode r"><code class="sourceCode r"><span id="cb62-1"><a href="#cb62-1" tabindex="-1"></a><span class="fu">par</span>(<span class="at">mfrow =</span> <span class="fu">c</span>(<span class="dv">1</span>,<span class="dv">3</span>))</span>
<span id="cb62-2"><a href="#cb62-2" tabindex="-1"></a>dend13 <span class="sc">%&gt;%</span> <span class="fu">set</span>(<span class="st">&quot;leaves_pch&quot;</span>, <span class="dv">19</span>) <span class="sc">%&gt;%</span> <span class="fu">set</span>(<span class="st">&quot;leaves_cex&quot;</span>, <span class="dv">2</span>) <span class="sc">%&gt;%</span> <span class="fu">set</span>(<span class="st">&quot;leaves_col&quot;</span>, <span class="dv">2</span>) <span class="sc">%&gt;%</span> <span class="co"># adjust the leaves</span></span>
<span id="cb62-3"><a href="#cb62-3" tabindex="-1"></a> hang.dendrogram <span class="sc">%&gt;%</span> <span class="co"># hang the leaves</span></span>
<span id="cb62-4"><a href="#cb62-4" tabindex="-1"></a> <span class="fu">plot</span>(<span class="at">main =</span> <span class="st">&quot;Hanging a tree&quot;</span>)</span>
<span id="cb62-5"><a href="#cb62-5" tabindex="-1"></a>dend13 <span class="sc">%&gt;%</span> <span class="fu">set</span>(<span class="st">&quot;leaves_pch&quot;</span>, <span class="dv">19</span>) <span class="sc">%&gt;%</span> <span class="fu">set</span>(<span class="st">&quot;leaves_cex&quot;</span>, <span class="dv">2</span>) <span class="sc">%&gt;%</span> <span class="fu">set</span>(<span class="st">&quot;leaves_col&quot;</span>, <span class="dv">2</span>) <span class="sc">%&gt;%</span> <span class="co"># adjust the leaves</span></span>
<span id="cb62-6"><a href="#cb62-6" tabindex="-1"></a> <span class="fu">hang.dendrogram</span>(<span class="at">hang_height =</span> .<span class="dv">6</span>) <span class="sc">%&gt;%</span> <span class="co"># hang the leaves (at some height)</span></span>
<span id="cb62-7"><a href="#cb62-7" tabindex="-1"></a> <span class="fu">plot</span>(<span class="at">main =</span> <span class="st">&quot;Hanging a tree (but lower)&quot;</span>)</span>
<span id="cb62-8"><a href="#cb62-8" tabindex="-1"></a>dend13 <span class="sc">%&gt;%</span> <span class="fu">set</span>(<span class="st">&quot;leaves_pch&quot;</span>, <span class="dv">19</span>) <span class="sc">%&gt;%</span> <span class="fu">set</span>(<span class="st">&quot;leaves_cex&quot;</span>, <span class="dv">2</span>) <span class="sc">%&gt;%</span> <span class="fu">set</span>(<span class="st">&quot;leaves_col&quot;</span>, <span class="dv">2</span>) <span class="sc">%&gt;%</span> <span class="co"># adjust the leaves</span></span>
<span id="cb62-9"><a href="#cb62-9" tabindex="-1"></a> hang.dendrogram <span class="sc">%&gt;%</span> <span class="co"># hang the leaves</span></span>
<span id="cb62-10"><a href="#cb62-10" tabindex="-1"></a> <span class="fu">hang.dendrogram</span>(<span class="at">hang =</span> <span class="sc">-</span><span class="dv">1</span>) <span class="sc">%&gt;%</span> <span class="co"># un-hanging the leaves</span></span>
<span id="cb62-11"><a href="#cb62-11" tabindex="-1"></a> <span class="fu">plot</span>(<span class="at">main =</span> <span class="st">&quot;Not hanging a tree&quot;</span>)</span></code></pre></div>
<p><img role="img" src="data:image/png;base64,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" /><!-- --></p>
<p>An example of what this function does to the leaves heights:</p>
<div class="sourceCode" id="cb63"><pre class="sourceCode r"><code class="sourceCode r"><span id="cb63-1"><a href="#cb63-1" tabindex="-1"></a>dend13 <span class="sc">%&gt;%</span> <span class="fu">get_leaves_attr</span>(<span class="st">&quot;height&quot;</span>)</span></code></pre></div>
<pre><code>#&gt; [1] 0 0 0</code></pre>
<div class="sourceCode" id="cb65"><pre class="sourceCode r"><code class="sourceCode r"><span id="cb65-1"><a href="#cb65-1" tabindex="-1"></a>dend13 <span class="sc">%&gt;%</span> hang.dendrogram <span class="sc">%&gt;%</span> <span class="fu">get_leaves_attr</span>(<span class="st">&quot;height&quot;</span>)</span></code></pre></div>
<pre><code>#&gt; [1] 1.35 0.85 0.85</code></pre>
<p>We can also control the general heights of nodes using
<code>raise.dendrogram</code>:</p>
<div class="sourceCode" id="cb67"><pre class="sourceCode r"><code class="sourceCode r"><span id="cb67-1"><a href="#cb67-1" tabindex="-1"></a><span class="fu">par</span>(<span class="at">mfrow =</span> <span class="fu">c</span>(<span class="dv">1</span>,<span class="dv">3</span>))</span>
<span id="cb67-2"><a href="#cb67-2" tabindex="-1"></a>dend13 <span class="sc">%&gt;%</span> <span class="fu">plot</span>(<span class="at">main =</span> <span class="st">&quot;First tree&quot;</span>, <span class="at">ylim =</span> <span class="fu">c</span>(<span class="dv">0</span>,<span class="dv">3</span>))</span>
<span id="cb67-3"><a href="#cb67-3" tabindex="-1"></a>dend13 <span class="sc">%&gt;%</span> </span>
<span id="cb67-4"><a href="#cb67-4" tabindex="-1"></a> <span class="fu">raise.dendrogram</span> (<span class="sc">-</span><span class="dv">1</span>) <span class="sc">%&gt;%</span> </span>
<span id="cb67-5"><a href="#cb67-5" tabindex="-1"></a> <span class="fu">plot</span>(<span class="at">main =</span> <span class="st">&quot;One point lower&quot;</span>, <span class="at">ylim =</span> <span class="fu">c</span>(<span class="dv">0</span>,<span class="dv">3</span>))</span>
<span id="cb67-6"><a href="#cb67-6" tabindex="-1"></a>dend13 <span class="sc">%&gt;%</span> </span>
<span id="cb67-7"><a href="#cb67-7" tabindex="-1"></a> <span class="fu">raise.dendrogram</span> (<span class="dv">1</span>) <span class="sc">%&gt;%</span> </span>
<span id="cb67-8"><a href="#cb67-8" tabindex="-1"></a> <span class="fu">plot</span>(<span class="at">main =</span> <span class="st">&quot;One point higher&quot;</span>, <span class="at">ylim =</span> <span class="fu">c</span>(<span class="dv">0</span>,<span class="dv">3</span>))</span></code></pre></div>
<p><img role="img" src="data:image/png;base64,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" /><!-- --></p>
<p>If you wish to make the branches under the root have the same height,
you can use the <code>flatten.dendrogram</code> function.</p>
</div>
<div id="setting-a-dendrograms-branches" class="section level3">
<h3>Setting a dendrogram’s branches</h3>
<div id="adjusting-all-branches" class="section level4">
<h4>Adjusting all branches</h4>
<p>Similar to adjusting nodes, we can also control line width (lwd),
line type (lty), and color (col) for branches:</p>
<div class="sourceCode" id="cb68"><pre class="sourceCode r"><code class="sourceCode r"><span id="cb68-1"><a href="#cb68-1" tabindex="-1"></a><span class="fu">par</span>(<span class="at">mfrow =</span> <span class="fu">c</span>(<span class="dv">1</span>,<span class="dv">3</span>))</span>
<span id="cb68-2"><a href="#cb68-2" tabindex="-1"></a>dend13 <span class="sc">%&gt;%</span> <span class="fu">set</span>(<span class="st">&quot;branches_lwd&quot;</span>, <span class="dv">4</span>) <span class="sc">%&gt;%</span> <span class="fu">plot</span>(<span class="at">main =</span> <span class="st">&quot;Thick branches&quot;</span>)</span>
<span id="cb68-3"><a href="#cb68-3" tabindex="-1"></a>dend13 <span class="sc">%&gt;%</span> <span class="fu">set</span>(<span class="st">&quot;branches_lty&quot;</span>, <span class="dv">3</span>) <span class="sc">%&gt;%</span> <span class="fu">plot</span>(<span class="at">main =</span> <span class="st">&quot;Dashed branches&quot;</span>)</span>
<span id="cb68-4"><a href="#cb68-4" tabindex="-1"></a>dend13 <span class="sc">%&gt;%</span> <span class="fu">set</span>(<span class="st">&quot;branches_col&quot;</span>, <span class="dv">2</span>) <span class="sc">%&gt;%</span> <span class="fu">plot</span>(<span class="at">main =</span> <span class="st">&quot;Red branches&quot;</span>)</span></code></pre></div>
<p><img role="img" 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" /><!-- --></p>
<p>We may also use recycling to create more complex patterns:</p>
<div class="sourceCode" id="cb69"><pre class="sourceCode r"><code class="sourceCode r"><span id="cb69-1"><a href="#cb69-1" tabindex="-1"></a><span class="co"># Produce a more complex dendrogram:</span></span>
<span id="cb69-2"><a href="#cb69-2" tabindex="-1"></a>dend15 <span class="sc">%&gt;%</span> </span>
<span id="cb69-3"><a href="#cb69-3" tabindex="-1"></a> <span class="fu">set</span>(<span class="st">&quot;branches_lwd&quot;</span>, <span class="fu">c</span>(<span class="dv">4</span>,<span class="dv">1</span>)) <span class="sc">%&gt;%</span> </span>
<span id="cb69-4"><a href="#cb69-4" tabindex="-1"></a> <span class="fu">set</span>(<span class="st">&quot;branches_lty&quot;</span>, <span class="fu">c</span>(<span class="dv">1</span>,<span class="dv">1</span>,<span class="dv">3</span>)) <span class="sc">%&gt;%</span> </span>
<span id="cb69-5"><a href="#cb69-5" tabindex="-1"></a> <span class="fu">set</span>(<span class="st">&quot;branches_col&quot;</span>, <span class="fu">c</span>(<span class="dv">1</span>,<span class="dv">2</span>,<span class="dv">3</span>)) <span class="sc">%&gt;%</span> </span>
<span id="cb69-6"><a href="#cb69-6" tabindex="-1"></a> <span class="fu">plot</span>(<span class="at">main =</span> <span class="st">&quot;Complex branches&quot;</span>, <span class="at">edge.root =</span> <span class="cn">TRUE</span>)</span></code></pre></div>
<p><img role="img" src="data:image/png;base64,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" /><!-- --></p>
<p>Notice how the first branch (the root) is considered when going
through and creating the tree, but it is <strong>ignored</strong> in the
actual plotting (this is actually a “missing feature” in
<code>plot.dendrogram</code>).</p>
</div>
<div id="coloring-branches-based-on-clustering" class="section level4">
<h4>Coloring branches based on clustering</h4>
<p>We may also control the colors of the branches based on using
clustering:</p>
<div class="sourceCode" id="cb70"><pre class="sourceCode r"><code class="sourceCode r"><span id="cb70-1"><a href="#cb70-1" tabindex="-1"></a><span class="fu">par</span>(<span class="at">mfrow =</span> <span class="fu">c</span>(<span class="dv">1</span>,<span class="dv">2</span>))</span>
<span id="cb70-2"><a href="#cb70-2" tabindex="-1"></a>dend15 <span class="sc">%&gt;%</span> <span class="fu">set</span>(<span class="st">&quot;branches_k_color&quot;</span>, <span class="at">k =</span> <span class="dv">3</span>) <span class="sc">%&gt;%</span> <span class="fu">plot</span>(<span class="at">main =</span> <span class="st">&quot;Nice defaults&quot;</span>)</span>
<span id="cb70-3"><a href="#cb70-3" tabindex="-1"></a>dend15 <span class="sc">%&gt;%</span> <span class="fu">set</span>(<span class="st">&quot;branches_k_color&quot;</span>, <span class="at">value =</span> <span class="dv">3</span><span class="sc">:</span><span class="dv">1</span>, <span class="at">k =</span> <span class="dv">3</span>) <span class="sc">%&gt;%</span> </span>
<span id="cb70-4"><a href="#cb70-4" tabindex="-1"></a> <span class="fu">plot</span>(<span class="at">main =</span> <span class="st">&quot;Controlling branches&#39; colors</span><span class="sc">\n</span><span class="st">(via clustering)&quot;</span>)</span></code></pre></div>
<p><img role="img" 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" /><!-- --></p>
<div class="sourceCode" id="cb71"><pre class="sourceCode r"><code class="sourceCode r"><span id="cb71-1"><a href="#cb71-1" tabindex="-1"></a><span class="co"># This is like using the `color_branches` function</span></span></code></pre></div>
</div>
<div id="adjusting-branches-based-on-labels" class="section level4">
<h4>Adjusting branches based on labels</h4>
<p>The most powerful way to control branches is through the
<code>branches_attr_by_labels</code> function (with variations through
the <code>set</code> function). The function allows you to change
col/lwd/lty of branches if they match some “labels condition”. Follow
carefully:</p>
<div class="sourceCode" id="cb72"><pre class="sourceCode r"><code class="sourceCode r"><span id="cb72-1"><a href="#cb72-1" tabindex="-1"></a><span class="fu">par</span>(<span class="at">mfrow =</span> <span class="fu">c</span>(<span class="dv">1</span>,<span class="dv">2</span>))</span>
<span id="cb72-2"><a href="#cb72-2" tabindex="-1"></a>dend15 <span class="sc">%&gt;%</span> <span class="fu">set</span>(<span class="st">&quot;by_labels_branches_col&quot;</span>, <span class="at">value =</span> <span class="fu">c</span>(<span class="dv">1</span>,<span class="dv">4</span>)) <span class="sc">%&gt;%</span> </span>
<span id="cb72-3"><a href="#cb72-3" tabindex="-1"></a> <span class="fu">plot</span>(<span class="at">main =</span> <span class="st">&quot;Adjust the branch</span><span class="sc">\n</span><span class="st"> if ALL (default) of its</span><span class="sc">\n</span><span class="st"> labels are in the list&quot;</span>)</span>
<span id="cb72-4"><a href="#cb72-4" tabindex="-1"></a>dend15 <span class="sc">%&gt;%</span> <span class="fu">set</span>(<span class="st">&quot;by_labels_branches_col&quot;</span>, <span class="at">value =</span> <span class="fu">c</span>(<span class="dv">1</span>,<span class="dv">4</span>), <span class="at">type =</span> <span class="st">&quot;any&quot;</span>) <span class="sc">%&gt;%</span> </span>
<span id="cb72-5"><a href="#cb72-5" tabindex="-1"></a> <span class="fu">plot</span>(<span class="at">main =</span> <span class="st">&quot;Adjust the branch</span><span class="sc">\n</span><span class="st"> if ANY of its</span><span class="sc">\n</span><span class="st"> labels are in the list&quot;</span>)</span></code></pre></div>
<p><img role="img" src="data:image/png;base64,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" /><!-- --></p>
<p>We can use this to change the size/type/color of the branches:</p>
<div class="sourceCode" id="cb73"><pre class="sourceCode r"><code class="sourceCode r"><span id="cb73-1"><a href="#cb73-1" tabindex="-1"></a><span class="co"># Using &quot;Inf&quot; in &quot;TF_values&quot; means to let the parameters stay as they are.</span></span>
<span id="cb73-2"><a href="#cb73-2" tabindex="-1"></a><span class="fu">par</span>(<span class="at">mfrow =</span> <span class="fu">c</span>(<span class="dv">1</span>,<span class="dv">3</span>))</span>
<span id="cb73-3"><a href="#cb73-3" tabindex="-1"></a>dend15 <span class="sc">%&gt;%</span> <span class="fu">set</span>(<span class="st">&quot;by_labels_branches_col&quot;</span>, <span class="at">value =</span> <span class="fu">c</span>(<span class="dv">1</span>,<span class="dv">4</span>), <span class="at">TF_values =</span> <span class="fu">c</span>(<span class="dv">3</span>,<span class="cn">Inf</span>)) <span class="sc">%&gt;%</span> </span>
<span id="cb73-4"><a href="#cb73-4" tabindex="-1"></a> <span class="fu">plot</span>(<span class="at">main =</span> <span class="st">&quot;Change colors&quot;</span>)</span>
<span id="cb73-5"><a href="#cb73-5" tabindex="-1"></a>dend15 <span class="sc">%&gt;%</span> <span class="fu">set</span>(<span class="st">&quot;by_labels_branches_lwd&quot;</span>, <span class="at">value =</span> <span class="fu">c</span>(<span class="dv">1</span>,<span class="dv">4</span>), <span class="at">TF_values =</span> <span class="fu">c</span>(<span class="dv">8</span>,<span class="dv">1</span>)) <span class="sc">%&gt;%</span> </span>
<span id="cb73-6"><a href="#cb73-6" tabindex="-1"></a> <span class="fu">plot</span>(<span class="at">main =</span> <span class="st">&quot;Change line width&quot;</span>)</span>
<span id="cb73-7"><a href="#cb73-7" tabindex="-1"></a>dend15 <span class="sc">%&gt;%</span> <span class="fu">set</span>(<span class="st">&quot;by_labels_branches_lty&quot;</span>, <span class="at">value =</span> <span class="fu">c</span>(<span class="dv">1</span>,<span class="dv">4</span>), <span class="at">TF_values =</span> <span class="fu">c</span>(<span class="dv">3</span>,<span class="cn">Inf</span>)) <span class="sc">%&gt;%</span> </span>
<span id="cb73-8"><a href="#cb73-8" tabindex="-1"></a> <span class="fu">plot</span>(<span class="at">main =</span> <span class="st">&quot;Change line type&quot;</span>)</span></code></pre></div>
<p><img role="img" src="data:image/png;base64,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" /><!-- --></p>
</div>
<div id="highlighting-branches-different-heights-using-line-width-and-color" class="section level4">
<h4>Highlighting branches’ different heights using line width and
color</h4>
<p>The <code>highlight_branches</code> function helps to more easily see
the topological structure of a tree, by adjusting branches appearence
(color and line width) based on their height in the tree. For
example:</p>
<div class="sourceCode" id="cb74"><pre class="sourceCode r"><code class="sourceCode r"><span id="cb74-1"><a href="#cb74-1" tabindex="-1"></a>dat <span class="ot">&lt;-</span> iris[<span class="dv">1</span><span class="sc">:</span><span class="dv">20</span>,<span class="sc">-</span><span class="dv">5</span>]</span>
<span id="cb74-2"><a href="#cb74-2" tabindex="-1"></a>hca <span class="ot">&lt;-</span> <span class="fu">hclust</span>(<span class="fu">dist</span>(dat))</span>
<span id="cb74-3"><a href="#cb74-3" tabindex="-1"></a>hca2 <span class="ot">&lt;-</span> <span class="fu">hclust</span>(<span class="fu">dist</span>(dat), <span class="at">method =</span> <span class="st">&quot;single&quot;</span>)</span>
<span id="cb74-4"><a href="#cb74-4" tabindex="-1"></a>dend <span class="ot">&lt;-</span> <span class="fu">as.dendrogram</span>(hca)</span>
<span id="cb74-5"><a href="#cb74-5" tabindex="-1"></a>dend2 <span class="ot">&lt;-</span> <span class="fu">as.dendrogram</span>(hca2)</span>
<span id="cb74-6"><a href="#cb74-6" tabindex="-1"></a></span>
<span id="cb74-7"><a href="#cb74-7" tabindex="-1"></a><span class="fu">par</span>(<span class="at">mfrow =</span> <span class="fu">c</span>(<span class="dv">1</span>,<span class="dv">3</span>))</span>
<span id="cb74-8"><a href="#cb74-8" tabindex="-1"></a>dend <span class="sc">%&gt;%</span> highlight_branches_col <span class="sc">%&gt;%</span> <span class="fu">plot</span>(<span class="at">main =</span> <span class="st">&quot;Coloring branches&quot;</span>)</span>
<span id="cb74-9"><a href="#cb74-9" tabindex="-1"></a>dend <span class="sc">%&gt;%</span> highlight_branches_lwd <span class="sc">%&gt;%</span> <span class="fu">plot</span>(<span class="at">main =</span> <span class="st">&quot;Emphasizing line-width&quot;</span>)</span>
<span id="cb74-10"><a href="#cb74-10" tabindex="-1"></a>dend <span class="sc">%&gt;%</span> highlight_branches <span class="sc">%&gt;%</span> <span class="fu">plot</span>(<span class="at">main =</span> <span class="st">&quot;Emphasizing color</span><span class="sc">\n</span><span class="st"> and line-width&quot;</span>)</span></code></pre></div>
<p><img role="img" 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" /><!-- --></p>
<p>Tanglegrams are even easier to compare when using</p>
<div class="sourceCode" id="cb75"><pre class="sourceCode r"><code class="sourceCode r"><span id="cb75-1"><a href="#cb75-1" tabindex="-1"></a><span class="fu">library</span>(viridis)</span>
<span id="cb75-2"><a href="#cb75-2" tabindex="-1"></a><span class="fu">par</span>(<span class="at">mfrow =</span> <span class="fu">c</span>(<span class="dv">1</span>,<span class="dv">3</span>))</span>
<span id="cb75-3"><a href="#cb75-3" tabindex="-1"></a>dend <span class="sc">%&gt;%</span> highlight_branches_col <span class="sc">%&gt;%</span> <span class="fu">plot</span>(<span class="at">main =</span> <span class="st">&quot;Coloring branches </span><span class="sc">\n</span><span class="st"> (default is reversed viridis)&quot;</span>)</span>
<span id="cb75-4"><a href="#cb75-4" tabindex="-1"></a>dend <span class="sc">%&gt;%</span> <span class="fu">highlight_branches_col</span>(<span class="fu">viridis</span>(<span class="dv">100</span>)) <span class="sc">%&gt;%</span> <span class="fu">plot</span>(<span class="at">main =</span> <span class="st">&quot;It is better to use </span><span class="sc">\n</span><span class="st"> lighter colors in the leaves&quot;</span>)</span>
<span id="cb75-5"><a href="#cb75-5" tabindex="-1"></a>dend <span class="sc">%&gt;%</span> <span class="fu">highlight_branches_col</span>(<span class="fu">rev</span>(<span class="fu">magma</span>(<span class="dv">1000</span>))) <span class="sc">%&gt;%</span> <span class="fu">plot</span>(<span class="at">main =</span> <span class="st">&quot;The magma color pallatte</span><span class="sc">\n</span><span class="st"> is also good&quot;</span>)</span></code></pre></div>
<p><img role="img" 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" /><!-- --></p>
<div class="sourceCode" id="cb76"><pre class="sourceCode r"><code class="sourceCode r"><span id="cb76-1"><a href="#cb76-1" tabindex="-1"></a>dl <span class="ot">&lt;-</span> <span class="fu">dendlist</span>(dend, dend2)</span>
<span id="cb76-2"><a href="#cb76-2" tabindex="-1"></a><span class="fu">tanglegram</span>(dl, <span class="at">sort =</span> <span class="cn">TRUE</span>, <span class="at">common_subtrees_color_lines =</span> <span class="cn">FALSE</span>, <span class="at">highlight_distinct_edges =</span> <span class="cn">FALSE</span>, <span class="at">highlight_branches_lwd =</span> <span class="cn">FALSE</span>)</span></code></pre></div>
<p><img role="img" src="data:image/png;base64,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" /><!-- --></p>
<div class="sourceCode" id="cb77"><pre class="sourceCode r"><code class="sourceCode r"><span id="cb77-1"><a href="#cb77-1" tabindex="-1"></a><span class="fu">tanglegram</span>(dl)</span></code></pre></div>
<p><img role="img" 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" /><!-- --></p>
<div class="sourceCode" id="cb78"><pre class="sourceCode r"><code class="sourceCode r"><span id="cb78-1"><a href="#cb78-1" tabindex="-1"></a><span class="fu">tanglegram</span>(dl, <span class="at">fast =</span> <span class="cn">TRUE</span>)</span></code></pre></div>
<p><img role="img" 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" /><!-- --></p>
<div class="sourceCode" id="cb79"><pre class="sourceCode r"><code class="sourceCode r"><span id="cb79-1"><a href="#cb79-1" tabindex="-1"></a>dl <span class="ot">&lt;-</span> <span class="fu">dendlist</span>(<span class="fu">highlight_branches</span>(dend), <span class="fu">highlight_branches</span>(dend2))</span>
<span id="cb79-2"><a href="#cb79-2" tabindex="-1"></a><span class="fu">tanglegram</span>(dl, <span class="at">sort =</span> <span class="cn">TRUE</span>, <span class="at">common_subtrees_color_lines =</span> <span class="cn">FALSE</span>, <span class="at">highlight_distinct_edges =</span> <span class="cn">FALSE</span>)</span></code></pre></div>
<p><img role="img" src="data:image/png;base64,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" /><!-- --></p>
<div class="sourceCode" id="cb80"><pre class="sourceCode r"><code class="sourceCode r"><span id="cb80-1"><a href="#cb80-1" tabindex="-1"></a><span class="co"># dend %&gt;% set(&quot;highlight_branches_col&quot;) %&gt;% plot</span></span>
<span id="cb80-2"><a href="#cb80-2" tabindex="-1"></a></span>
<span id="cb80-3"><a href="#cb80-3" tabindex="-1"></a>dl <span class="ot">&lt;-</span> <span class="fu">dendlist</span>(dend, dend2) <span class="sc">%&gt;%</span> <span class="fu">set</span>(<span class="st">&quot;highlight_branches_col&quot;</span>)</span>
<span id="cb80-4"><a href="#cb80-4" tabindex="-1"></a><span class="fu">tanglegram</span>(dl, <span class="at">sort =</span> <span class="cn">TRUE</span>, <span class="at">common_subtrees_color_lines =</span> <span class="cn">FALSE</span>, <span class="at">highlight_distinct_edges =</span> <span class="cn">FALSE</span>)</span></code></pre></div>
</div>
</div>
<div id="changing-a-dendrograms-structure" class="section level3">
<h3>Changing a dendrogram’s structure</h3>
<div id="rotation" class="section level4">
<h4>Rotation</h4>
<p>A dendrogram is an object which can be rotated on its hinges without
changing its topology. Rotating a dendrogram in base R can be done using
the <code>reorder</code> function. The problem with this function is
that it is not very intuitive. For this reason the <code>rotate</code>
function was written. It has two main arguments: the “object” (a
dendrogram), and the “order” we wish to rotate it by. The “order”
parameter can be either a numeric vector, used in a similar way we would
order a simple character vector. Or, the order parameter can also be a
character vector of the labels of the tree, given in the new desired
order of the tree. It is also worth noting that some order are
impossible to achieve for a given tree’s topology. In such cases, the
function will do its “best” to get as close as possible to the requested
rotation.</p>
<div class="sourceCode" id="cb81"><pre class="sourceCode r"><code class="sourceCode r"><span id="cb81-1"><a href="#cb81-1" tabindex="-1"></a><span class="fu">par</span>(<span class="at">mfrow =</span> <span class="fu">c</span>(<span class="dv">1</span>,<span class="dv">3</span>))</span>
<span id="cb81-2"><a href="#cb81-2" tabindex="-1"></a>dend15 <span class="sc">%&gt;%</span> </span>
<span id="cb81-3"><a href="#cb81-3" tabindex="-1"></a> <span class="fu">set</span>(<span class="st">&quot;labels_colors&quot;</span>) <span class="sc">%&gt;%</span> </span>
<span id="cb81-4"><a href="#cb81-4" tabindex="-1"></a> <span class="fu">set</span>(<span class="st">&quot;branches_k_color&quot;</span>) <span class="sc">%&gt;%</span> </span>
<span id="cb81-5"><a href="#cb81-5" tabindex="-1"></a> <span class="fu">plot</span>(<span class="at">main =</span> <span class="st">&quot;First tree&quot;</span>)</span>
<span id="cb81-6"><a href="#cb81-6" tabindex="-1"></a>dend15 <span class="sc">%&gt;%</span></span>
<span id="cb81-7"><a href="#cb81-7" tabindex="-1"></a> <span class="fu">set</span>(<span class="st">&quot;labels_colors&quot;</span>) <span class="sc">%&gt;%</span> </span>
<span id="cb81-8"><a href="#cb81-8" tabindex="-1"></a> <span class="fu">set</span>(<span class="st">&quot;branches_k_color&quot;</span>) <span class="sc">%&gt;%</span> </span>
<span id="cb81-9"><a href="#cb81-9" tabindex="-1"></a> <span class="fu">rotate</span>(<span class="fu">as.character</span>(<span class="dv">5</span><span class="sc">:</span><span class="dv">1</span>)) <span class="sc">%&gt;%</span> <span class="co">#rotate to match labels new order</span></span>
<span id="cb81-10"><a href="#cb81-10" tabindex="-1"></a> <span class="fu">plot</span>(<span class="at">main =</span> <span class="st">&quot;Rotated tree</span><span class="sc">\n</span><span class="st"> based on labels&quot;</span>)</span>
<span id="cb81-11"><a href="#cb81-11" tabindex="-1"></a>dend15 <span class="sc">%&gt;%</span> </span>
<span id="cb81-12"><a href="#cb81-12" tabindex="-1"></a> <span class="fu">set</span>(<span class="st">&quot;labels_colors&quot;</span>) <span class="sc">%&gt;%</span> </span>
<span id="cb81-13"><a href="#cb81-13" tabindex="-1"></a> <span class="fu">set</span>(<span class="st">&quot;branches_k_color&quot;</span>) <span class="sc">%&gt;%</span> </span>
<span id="cb81-14"><a href="#cb81-14" tabindex="-1"></a> <span class="fu">rotate</span>(<span class="dv">5</span><span class="sc">:</span><span class="dv">1</span>) <span class="sc">%&gt;%</span> <span class="co"># the fifth label to go first is &quot;4&quot;</span></span>
<span id="cb81-15"><a href="#cb81-15" tabindex="-1"></a> <span class="fu">plot</span>(<span class="at">main =</span> <span class="st">&quot;Rotated tree</span><span class="sc">\n</span><span class="st"> based on order&quot;</span>)</span></code></pre></div>
<p><img role="img" 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H+YFBQU1K6v2zVDV9praGpnhj3RU+nMsLP2x4YZqjLsHZ4ikPwCkWJC40xHe9O4Do0IpXFlhmG1g0voKHChqaH4qf8ZElo+9KhHtHTgCB2sQgej0EmPAugRL/2+1mvd9HMgdAQ9tJ4+Rvqc0D37Gtv6OaP3k9AYb+gzp36dNcYjjUgXXibPoxDQ4SCZEEAAAQQSI/DUU0/ZsdDNEK2O+dJzdLx18wXuFBcXO2Y0KMfsObNjoX//+9+3FfrWt77lmCNjjjlKZt8zwy06+u/SSy91zB5rx9xN1dFt6mRGcnLMl71d/uyzz7bbs2+E/Wf2dDsmSbD/dLsLFiyw75qjao65OZPTo0cPx/yQd3T89fDJfOnaepubOjVYV5OAOCYJsOO4m1GuHDNSld2EuZDdMTd7cszROGfEiBGOORXPef755+32TBLhmD119j0tX9czd3ENL5rnCCStQEMxYYZetvdR6Nq1q2MSYMck4I65qZqNaXP6qWN2djnmxmW23ZHiR+PRDERht2GuN7OfGaHlQ1hmwAj7maExpWWYwSLsWxMnTrTze/XqZT8v9DPI/GAIrWYfG/qc0Ps36OeG2YHnTJgwocHPnEh11s8p82PBMUfnHXNUv055vIheQM8vZEIAAQQQSJBAKHE3o0A5ZnQm+wU9c+ZMR79kzTCtjt44TW+iZE5zcaqqquzNlfSGR+YaEsfcNdWu85e//MXemMnsEbNf7noDJp30C1i/TM0eMefKK6+MmLhroqA/Bsywr45+geuXt06auF922WX2ublbq02+7Yv//heeuEeqqy6mSYr+INEk4N5773W0LJ30x8AjjzziaH01ef/9739fJ3G/6qqr7M2czFFARxMGcxqfXY//EEh2gYZiwpxyZm9wtmTJEnvTMzOwhPOb3/zGxrX+ADfDLDuhG7FFih/9wa3Js9mDbX/omv20tYl+yOyGG26wP/j1h7LGlrlWzTFH1mzcm3st2B/Qf/vb3+wPaJ0fPjX0OaGJu66rn1NmT3uDnzmR6hz67PvHP/5hdz6El8fz6AU4xz2KoxIsggACCMRbQK8j0cPjer3JqlWr7AXhv/zlL+2F3Hr4W09j04vCTcIrb7zxhpg97GISatm2bZuEj+Q0Y8YMe12JHoJeu3atvU5FT3+pf52K1l8PVeuheT31TU+PGzZsmKxbt070Xg06mSTePup1KnqYvKFJL16vX9fQsubHg6Snp8t5551ny3rvvfdqR5jSa2X0mhetR/ikw8bq4fevfe1rMmrUKFm6dGn42zxHIKkF6seEniJjEnb58pe/bO+fovGi8W5+oIuO/DZu3Dj7OTBr1izRU9hCI7SFx485KiV6Op3Gkzm6Vnu6aziUnh6r92TRU1V15DiNMS1XJx08QueHrkkLj/cTfU7oDRzN3ZtFT5uN9JnTUJ1DddMR6cJPAwrN5zE6ARL36JxYCgEEEIirgN7XQL+Q9YtPv1Qfe+wxOyqEOVxuzy/XL1lNkDVJ17sZazKvCbZeTxJpJCe96dpFF10kCxcutMuZvVrH1Df0Q2HevHk2IdCboukXu96rQSf9ItYpdN67fRHhv0h1DS2mF51u2bJFFi1aZC9a79u3r00SjjfClC773e9+157/qhfUmr2Aoc3xiEDSC9SPCY0zHbxh6tSpMm3aNHvXco13vVlinz597LUgeqNDvdhUB32INEKbfmboZ8Ly5ctFL3g3R+eOcdJEX+/voteOPP7443b0t9DobseL9RN9ToTOh9fHSJ85DdU5VMHQ+qHXPDZOgMS9cV4sjQACCMQsYA4129FZdG+73nVYh0vV0Zl0r7nuydKbmekFqbpXXC/+1j1zmqzr3ji94LuhkZz0bsg61KuOFmXOKY9YT3O42l6QZg6F2wRfE4fGTpHqqqPO6GTOubc/PPS+ELonXacTjTClDj/96U/FHF63e+PN6T52Pf5DIAgC9WNCY1oHeLj55pvFXPNhY0aTcN1zroNGdOrUSf7+97/X3kgxUvwMHjxYzClv9q7n5hQbm+DXt9I7qevecXO6juiROR31RT97opmO9zkR/sO+oc+cSHUOlRu+fmgej9ELpOlZNdEvzpIIIIAAAvES0GTXXDhWuzkdUUIPWYfP0zd1b5weSq8/X0dzCB/JKbSsjhhRf2So2kL++0QPh+uetaZODdVVt6fl6+H/0GhVOk/boGUeb4QpvSOztocJgaAJRIoJjd9I8RApDhqKn/qfIZHcYon1aNbVukX6zGmozpHqyLzoBUjco7diSQQQQAABBBBAAAEEPBPgVBnP6CkYAQQQQAABBBBAAIHoBUjco7diSQQQQAABBBBAAAEEPBMgcfeMnoIRQAABBBBAAAEEEIhegMQ9eiuWRAABBBBAAAEEEEDAMwESd8/oKRgBBBBAAAEEEEAAgegFSNyjt2JJBBBAAAEEEEAAAQQ8EyBx94yeghFAAAEEEEAAAQQQiF6AxD16K5ZEAAEEEEAAAQQQQMAzAdcS95KSEnnrrbdswxYtWiSjRo2SqVOnit5tjwkBBIIhQJwHox9pBQLHEyDOj6fDewgkVsC1xH3r1q2yZMkSKS0tlSeeeEIefPBBKSwslHnz5iW2hZSGAAKuCRDnrtGyYQR8I0Cc+6YrqAgC4lrirrYVFRWya9cuGTZsmHTp0sXudV++fDnsCCAQIAHiPECdSVMQaECAOG8AhtkIJFjAtcS9W7dusmPHDrnrrrtk9uzZtlkjR46UMWPGJLiJFIcAAm4JEOduybJdBPwjQJz7py+oCQJpjpkSxXDkyBHJzs5OVHGUgwACHggQ5x6gUyQCCRYgzhMMTnEI/FcgM5ESeoGLniozevToiMWOGzdOVq1aVee9jRs3ys6dO+vM8+OLzp07S9euXf1YNdm2bZu0adNGmjdv7rv67du3T8477zyZNWuW7+pGhZomEOQ4P5HIm2++Kddee61vPwtOVH9NxsrKypK2/kePHhXdF1X/e+RE7eb9xgukcpw3XivyGv369ZO0tDTJysqKvICHc/fs2WNL19zBb1Oqx3lCE3e9OFX/UBuapk+ffsxbAwcOPGaeH2do0r5s2TI/Vs3XdXr++edl9erVvq4jlWucQJDj/EQSbdu2tdf06AX5TIkX0MEQxo4dm/iCU7DEVI7zeHW3noL06KOPSlFRUbw2mRLbSfU4d+0cd/3refHFF2X8+PGyZs0a+8dUU1NjR5pJib8sGolAiggQ5ynS0TQzpQWI85TufhrvIwHXEnf9RTR37ly5/vrrZdKkSTZhr6yslBUrVvio+VQFAQRiESDOY9FjXQSSQ4A4T45+opapIeBa4r5lyxYZNGiQDBgwQObPny+TJ0+Wd999NzVUaSUCKSJAnKdIR9PMlBYgzlO6+2m8zwRcS9z79+8vr7/+uuhdU/Py8uTJJ5+0d071WfupDgIIxCBAnMeAx6oIJIkAcZ4kHUU1U0LAtYtT9UrpOXPmSHV1tYVs1aqVvPTSS1JcXJwSsDQSgVQQIM5ToZdpY6oLEOep/hdA+/0k4Noe91AjMzIyQk8lPT1d9CpqJgQQCJYAcR6s/qQ1CEQSIM4jqTAPgcQKuJ64J7Y5lIYAAggggAACCCCAQDAFSNyD2a+0CgEEEEAAAQQQQCBgAiTuAetQmoMAAggggAACCCAQTAES92D2K61CAAEEEEAAAQQQCJgAiXvAOpTmIIAAAggggAACCARTgMQ9mP1KqxBAAAEEEEAAAQQCJkDiHrAOpTkIIIAAAggggAACwRQgcQ9mv9IqBBBAAAEEEEAAgYAJkLgHrENpDgIIIIAAAggggEAwBUjcg9mvtAoBBBBAAAEEEEAgYAIk7gHrUJqDAAIIIIAAAgggEEwBEvdg9iutQgABBBBAAAEEEAiYQKab7Vm5cqXMmjVLtm/fLoWFhTJ48GC57rrrJC0tzc1i2TYCCCRQgDhPIDZFIeCRAHHuETzFIlBPwLXEfdOmTXL33XfLlClTpEOHDlJRUSHz5s2TadOmyYQJE+pVg5cIIJCMAsR5MvYadUagcQLEeeO8WBoBNwVcO1WmtLRUhg4dKr169ZKCggLp0qWLjBkzRsrKytxsD9tGAIEEChDnCcSmKAQ8EiDOPYKnWAQiCLi2x33gwIEye/ZsGTFihBQVFdk97uXl5TJjxowI1WAWAggkowBxnoy9Rp0RaJwAcd44L5ZGwE0B1xL39PR0mT59ulRVVUlJSYnk5+dLq1at5PDhww22R9+rrq6u835NTU2d17xAAAH/CBDn/ukLaoKAWwLEuVuybBeBxgu4lriHqpKZmSndu3e3Lz/44ANZvHixTJw4MfR2ncdJkybJu+++W2fe+vXr67zmBQII+E+AOPdfn1AjBOItQJzHW5TtIdB4AdcT9/Aq9e7dW/RfQ9Ovf/3rY97SQ3RMCCCQPALEefL0FTVFoKkCxHlT5VgPgdgEXLs4Vav14osvyvjx42XNmjW2lnv37pWZM2fGVmPWRgABXwkQ577qDiqDgCsCxLkrrGwUgUYLuJa461Xoc+fOleuvv170FJglS5ZIZWWlrFixotGVZAUEEPCnAHHuz36hVgjEU4A4j6cm20IgNgHXEvctW7bIoEGDZMCAATJ//nyZPHnyMeevx1Z11kYAAa8FiHOve4DyEXBfgDh335gSEIhWwLXEvX///vL666/LokWLJC8vT5588kmZOnVqtPViOQQQSAIB4jwJOokqIhCjAHEeIyCrIxBHAdcuTk1LS5M5c+bUDu+oQ0G+9NJLUlxcHMfqsykEEPBSgDj3Up+yEUiMAHGeGGdKQSAaAdf2uIcKz8jICD0VHQu2W7duta95ggACwRAgzoPRj7QCgeMJEOfH0+E9BBIj4HrinphmUAoCCCCAAAIIIIAAAsEWIHEPdv/SOgQQQAABBBBAAIGACJC4B6QjaQYCCCCAAAIIIIBAsAVI3IPdv7QOAQQQQAABBBBAICACJO4B6UiagQACCCCAAAIIIBBsARL3YPcvrUMAAQQQQAABBBAIiACJe0A6kmYggAACCCCAAAIIBFuAxD3Y/UvrEEAAAQQQQAABBAIiQOIekI6kGQgggAACCCCAAALBFiBxD3b/0joEEEAAAQQQQACBgAiQuAekI2kGAggggAACCCCAQLAFSNyD3b+0DgEEEEAAAQQQQCAgAq4l7iUlJfLWW29ZpkWLFsmoUaNk6tSpUl1dHRA6moEAAsQ5fwMIBF+AOA9+H9PC5BFwLXHfunWrLFmyREpLS+WJJ56QBx98UAoLC2XevHnJo0NNEUDguALE+XF5eBOBQAgQ54HoRhoREAHXEnf1qaiokF27dsmwYcOkS5cudq/78uXLA0JHMxBAQAWIc/4OEAi+AHEe/D6mhckh4Fri3q1bN9mxY4fcddddMnv2bKsxcuRIGTNmTHLIUEsEEDihAHF+QiIWQCDpBYjzpO9CGhAggUy32tK5c2d55JFH6mx+4cKF4jhOnXnhL9auXSt79+4NnyX79++v85oXiRF4p/hd2X1or7TIyXO1wNWl78u6Tz+SN954w9Vyqqqq5ODBg/LVr37V1XJSbePJEucbdm6UDeWbpDC3jatd9Enxx/Jp+VbX/561EXre8ejRo11tDxtHQAWSJc7j1Vu6s7F79+7x2lyD2ympLJNlxSul/eH2DS4Tjzd2HiyXszv0ku5tusZjc2zDYwHXEvdI7dq8ebMsXrxYJk6cGOltWbp0qWzcuLHOe3v27KnzmheJEfjTqqfkwOGDcpLLgf7Jvk+kdFep6AXMbk4HDhwQPU2LxN1N5f9s249x/vyGV+T1TUvlnI69XQXYVbpTKo4ecv3vWRsxd+5cEndXe5ONH0/Aj3F+vPo25r1JkyYl5uyAogx5o3i55O1xdwfZ28Wr5dqzRsq3z+WHfmP+Dvy6bEIT9969e4v+a2i67bbbjnlLL3BlSryAJuxnd+wjw0+9xN3Ch5rN3+luEbp1vUh67Nix7hdECTbG/RbnXVt1li+ffrnc1v9b7vfQ9e4XoSXw2ZgYZ0qJLBDk73M9wjBlypTIDU/CuQ+88bB0btUxCWtOlSMJuJa4HzlyRHQvZ/0pJydH8vLc/XVZv0xeI4CAOwLEuTuubBUBPwkQ537qDeqS6gKuJe4bNmyQiy++2P7Lzc2tdR4yZIjccsstta95ggACyStAnCdv31FzBKIVIM6jlWI5BNwXcC1x79OnjyxYsECee+65QB1ycr9LKAGB5BEgzpOnr6gpAk0VIM6bKsd6CMRfwLXEXauqe9w14JkQQCC4AsR5cPuWliEQEiDOQxI8IuCtgGvjuIeaVVBQEHrKIwIIBFSAOA9ox9IsBMIEiPMwDJ4i4JGA64m7R+2iWAQQQAABBBBAAAEEAiVA4h6o7qQxCCCAAAIIIIAAAkEVIHEPas/SLgQQQAABBBBAAIFACZC4B6o7aQwCCCCAAAIIIIBAUAVI3IPas7QLAQQQQAABBBBAIFACJO6B6k4agwACCCCAAAIIIBBUARL3oPYs7UIAAQQQQAABBBAIlACJe6C6k8YggAACCCCAAAIIBFWAxD2oPUu7EEAAAQQQQAABBAIlQOIeqO6kMQgggAACCCCAAAJBFSBxD2rP0i4EEEAAAQQQQACBQAmQuAeqO2kMAggggAACCCCAQFAFXE/cd+/eLevWrZOysrKgGtIuBFJegDhP+T8BAFJAgDhPgU6mib4XyHSrhkeOHJFbb71VKisrpaioSCoqKqSkpESmTJkiZ511llvFsl0EEEigAHGeQGyKQsAjAeLcI3iKRSCCgGuJ+5tvvinnnHOO3HnnnbXF7tixQ+677z556KGHaufxBAEEkleAOE/evqPmCEQrQJxHK8VyCLgv4NqpMr169ZJXXnlFVqxYYfe0f/zxx/LYY4/JoEGD3G8VJSCAQEIEiPOEMFMIAp4KEOee8lM4AnUEXNvjrqfHTJs2TebMmSNbt26V/Px8ueiii+Saa66pUwFeIIBA8goQ58nbd9QcgWgFiPNopVgOAfcFXEvcteo9e/aUe++9t7YVVVVVcujQIcnLy6udF/5k/vz5UlxcHD5LSktL67yO94vyN9fInrffl5z2BTFtelCr/fLWy7+NaRv7926Tk06/RHr2/XJM2wnayo++tUE+rzwiLXKymty0feX7pPXRIbL6qW1N3oauuPvTQ3L+TZ2lZcdmMW0nSCsnQ5z7yXvDq7tk50cHJbeg6X/P2p70LlfKI0vXx9S0z/YelCt7dZULTmoX03bisfKyV38vlQf3Sk7zlk3e3L7de2XAgQr5bM4LTd6Grljx6Tbp9u2R0ryT9y4xNSSOKydDnH+6dI98tuJzyW+fHVPLszqNiDm2tu87JINPbi/DT+8UU12CtjJxHnuPupq416/e+vXrZfHixTJx4sT6b9nXhYWFUl1dXee9rKzYvtzqbCzCi0NbS+XInv3SolePCO9GP6v/4Mslv3XH6FeIsGRpyVopL/s4wjupPWtlcbmc1q6lFLVo3mSINhkZ0vKivpLXNrYP9E9e3y2V+6pM4t7kqgR+RT/GuZ/Qd2+skCMV1dKuZ+QdGNHWdcgF/WKKCS3n7a3lstUk7xeI9wlq8aa3pW3HM2L6HM3Oai1nX5wm2W3bRMsYcbmd/1whR/cdJHGPqPOfmX6M872fVcqhvVVS1Cv/ODU/8VuXXRh7bH1Q+rl8Ur5fhp+4uJRagjiPvbsTmrj37t1b9F9D02WXXXbMW3q6jZtTVusW0uKMk6ToixfEVMyoGNfXwiv275Jmua1iqkcQVy7MayaX9iiS87u2ja15A06NbX2z9uY390pWs4yYtxPkDfgxzv3k3bxNtrTq2lx6Dovt7/nnw66IuVmf7NovbZrH9mM25kr8dwN5LdtJjzMvl649Bsa2yUtjW13XLv/3aslsnhP7hgK8BT/GefPWWdL+9LyYY+u+YV+KuefKKw5LyxiOEsdcAZ9ugDiPvWNcS9x1+KgDBw4cU8OcnJwGT5U5ZmFmIICArwWIc193D5VDIC4CxHlcGNkIAnERcC1x37Bhg1x88cX2X25ubm1lhwwZIrfcckvta54ggEDyChDnydt31ByBaAWI82ilWA4B9wVcS9z79OkjCxYskOeee87edMn9plACAggkWoA4T7Q45SGQeAHiPPHmlIhAQwKuJe5aoO5x14BnQgCB4AoQ58HtW1qGQEiAOA9J8IiAtwKu3YAp1KyCgtiGWQxth0cEEPCvAHHu376hZgjES4A4j5ck20Gg6QKuJ+5NrxprIoAAAggggAACCCCAQEiAxD0kwSMCCCCAAAIIIIAAAj4WIHH3cedQNQQQQAABBBBAAAEEQgIk7iEJHhFAAAEEEEAAAQQQ8LEAibuPO4eqIYAAAggggAACCCAQEiBxD0nwiAACCCCAAAIIIICAjwVI3H3cOVQNAQQQQAABBBBAAIGQAIl7SIJHBBBAAAEEEEAAAQR8LEDi7uPOoWoIIIAAAggggAACCIQESNxDEjwigAACCCCAAAIIIOBjARJ3H3cOVUMAAQQQQAABBBBAICRA4h6S4BEBBBBAAAEEEEAAAR8LJCxx//DDD+Xo0aM+pqBqCCAQqwBxHqsg6yPgfwHi3P99RA2DK+Ba4r5s2TJ54IEHxHEcueKKK+TBBx+UYcOGyebNm4OrScsQSDEB4jzFOpzmpqQAcZ6S3U6jfSrgWuKuCXtNTY28/fbbNmGfOXOmLFy4UP7whz/4lIJqIYBAYwWI88aKsTwCySdAnCdfn1Hj4ApkutW0tLQ0efbZZ0UfN2zYYIt55plnpF27dm4VyXYRQCDBAsR5gsEpDgEPBIhzD9ApEoEGBFxL3AcOHChPP/20rF69Wtq2bWuLP3DggIwdO7aBqjAbAQSSTYA4T7Yeo74INF6AOG+8GWsg4JaAa4m7VrioqEi+9KUv1db9K1/5ij1dZvTo0bXzwp/cf//9ohe9hE8bN24Mf8lzBBDwmQBx7rMOoToIuCBAnLuAyiYRaIKAq4l7/foUFhZKv3796s+ufX3TTTfJoUOHal/rk7Vr19Z5zQsEEPC3AHHu7/6hdgjEQ4A4j4ci20Cg8QKuJu4rV66UWbNmyfbt20WDfPDgwXLdddc1WMtOnTod816zZs2OmccMBBDwjwBx7p++oCYIuCVAnLsly3YRaJyAa4n7pk2b5O6775YpU6ZIhw4dpKKiQubNmyfTpk2TCRMmNK6WLI0AAr4UIM592S1UCoG4ChDnceVkYwjEJODacJClpaUydOhQ6dWrlxQUFEiXLl1kzJgxUlZWFlOFWRkBBPwjQJz7py+oCQJuCRDnbsmyXQQaL+DaHne9Cn327NkyYsQIe5Gq7nEvLy+XGTNmNL6WrIEAAr4UIM592S1UCoG4ChDnceVkYwjEJOBa4p6eni7Tp0+XqqoqKSkpkfz8fHuee0y1ZWUEEPCVAHHuq+6gMgi4IkCcu8LKRhFokoBriXuoNpmZmdK9e/fQSx4RQCCAAsR5ADuVJiFQT4A4rwfCSwQ8EHDtHHcP2kKRCCCAAAIIIIAAAggEVoDEPbBdS8MQQAABBBBAAAEEgiRA4h6k3qQtCCCAAAIIIIAAAoEVIHEPbNfSMAQQQAABBBBAAIEgCZC4B6k3aQsCCCCAAAIIIIBAYAVI3APbtTQMAQQQQAABBBBAIEgCJO5B6k3aggACCCCAAAIIIBBYARL3wHYtDUMAAQQQQAABBBAIkgCJe5B6k7YggAACCCCAAAIIBFaAxD2wXUvDEEAAAQQQQAABBIIkQOIepN6kLQgggAACCCCAAAKBFSBxD2zX0jAEEEAAAQQQQACBIAlkutmYlStXyqxZs2T79u1SWFgogwcPluuuu07S0tLcLJZtI4BAAgWI8wRiUxQCHgkQ5x7BUywC9QRcS9w3bdokd999t0yZMkU6dOggFRUVMm/ePJk2bZpMmDChXjV4iQACyShAnCdjr1FnBBonQJw3zoulEXBTwLVTZUpLS2Xo0KHSq1cvKSgokC5dusiYMWOkrKzMzfawbQQQSKAAcZ5AbIpCwCMB4twjeIpFIIKAa3vcBw4cKLNnz5YRI0ZIUVGR3eNeXl4uM2bMiFANZiGAQDIKEOfJ2GvUGYHGCRDnjfNiaQTcFHAtcU9PT5fp06dLVVWVlJSUSH5+vj3P3c3GsG0EEEisAHGeWG9KQ8ALAeLcC3XKRCCygGuJe6i4zMxM6d69u325efNmWb58uYwePTr0dp3HcePGyapVq+rM++ijj+q8jveLtKxMSc/Oivdmm7S9zKwcycjIbtK68V4pJzNHstJd//OIqtrNszIk0/wQ9MOU1Sxd0jK4uLp+X/g9zrMzsiTbJ7GVkZUmGZn++BtqlpkhWRk+ia2s5pKe4Y/PnIxmOZLmk8+c+rHm5Wu/x3m6xla2P2Irx8RVtk9iy0/f51nEecwhnOaYKeatRLmBffv2iZ4r17NnzyjXYDEEEEg2AeI82XqM+iLQeAHivPFmrIFAPARc3b3R0PBR8ag420AAAX8IEOf+6AdqgYCbAsS5m7psG4HoBVzb467DR91xxx3HDAepVWM4yOg7iCUR8LMAce7n3qFuCMRHgDiPjyNbQSAeAq6d3MjwUfHoHraBgL8FiHN/9w+1QyAeAsR5PBTZBgLxEXBtj3tNTY3cfvvtUlxcfMxwkCeddFJ8ah+grVQc3C3Nc9vU3lV2354Sadmms6ctXL9ro5zSppu5eM37i3dL9x+SgubZkm0upvN6Olh+RHLyzAWzzbyvi9cWyRTnW/Z8JgUmxlrk5HvNJkcOVktNVY00a+V9bH1+6Ij1aGXiy6up4kC55OYX2uJraqql4sAuyW9Z5FV1KLeeQDLFObFVr/P++9IP3+fEeeS+aexc1xL3UEX8Ohzk0X0HRCJclpvVKvFf6ovnTpTyHRvl6JGDcs2ts+0X1pzfXyXfHL8gxJiQxxXFa+Stz96R8QO/I9f+9Vbp2KJINu3eIg9f+Uvp3qZrQuoQKqSqukbGL1ghW/YckEt7dJB3istF590z/Gzp26lNaLGEPO4rPSxbl+2tLevTpXulsEeudBvQSjqf07J2fio/8WOcH6k+IuMW/o/M/Po0+Z+XfiZ7Dn0u+yr3yc3nXifDT7s0od11tLJa1i/eVVtm+aZDcnh/lfS4pEB6XFpQOz9RTya/9oG8smG7jOjdRZ5bVyxt83Lk62d1k6v7/mcEsETVQxPCpx7+utRUH7WJ+8ibZsohsxPjtWfvkRE3JPaeHzVHq6S6ovKYpqdnZ0pG82bHzE/FGX6Mc2Ir8l+in77PifPIfdTUua5enKqVCh8+qqmVdGO9D//vdKncvlPyTutWZ/O9fzm+zmu3XxyuPGB+Pzg2Sd9R8oHMf+wGGT32b24XG3H7Wo8ap0ZWbntPLj35QvnewJtNorNffrP0D/K/QyZGXMetmcu27pIB3drK5K/0k6v//C95+bahpi5HZfJr7yc8cdfh+z4ySVe703Kl09kt7XBj2bnpkpnj2plmbrG6tl2/xnmV2Xt76Gil/Tv+w1VTbfsnvnB3whP3dDOE6LZ390vlvio584p2ktU8XaqPpEuW+TtK9LT/8FEpM0ewXrxliHz1j6/J/BsvMUchsuQO80M50Yl78aZlcma/q6TfoJvko9ULZcGfbpbh35iSaBJbXsWW7bL65nul9blnSLoZDjI0tTm/t3T6+pDQy5R+9GOcE1uR/yT99H1OnEfuo6bOdT1xb2rF3F6vz68nyNrvPyBn/O//MXtT/v+HtNvl1t9+TrN82Vu+VXZsWyftO/eW4df8Sv7++I1SZZKNRE9pkiaLN/zT/J8mG3d/aot/bv3LUmhOL0j0dGrbFjJz+Scy0uwRfGL0haKjlj7/YbF0bpmb6KpIXmG2XD29l6yas012bayQNt2am73traVdz7yE14UCGyfwXtk6mfnOHNldsUeqaqrMkZs1taejNW5LsS2dkZUuw+8+VT5+tVy2vv25dP5CC5O4O9Ktf+vYNtyEtfPNHmRN3D/7vEIev/YCm7S/tWWn6LjTiZ4Ki3rKW6/8Vk7r8yU54wsj5aj53HvhqR+Yve+JPwqRf2pXOWvaRNm1ZJWceuc3E01BeU0UILYiw/np+5w4j9xHTZ2bcY+ZmrpyMq+XZr6k2l52vqSbGzDpcy+nziedJ+VlG6Rth57SonVHk8D3kkpzuPiUMy9PaLU6t+wgw0+91CbJrZq1lL4desmyz1bKjf1GmfPcE/sbL9/sAezWOlfS09KkW5s8UycR3Qt/0/k9JNOD/koz9dC97Tn5GbJmXqk9vSG3jffnJyf0DyTJCstIz5Axfb9mbt6VIXnZufKFjn1k6dZ35MYvjJLc7OaetKbwlFxpf3qurPzLNml3ep60NadcJXrSv+Xzu7aVnQcr5Yz2rWzx/9pYJt8+/1Tjktg4z87JldaF3c3n3R5pVdBFijr3kexmeeZGdDnS5eTzE00jzTq1kxa9TpGMZt6d75/wRgekQGKrbkf66fucOK/bN7G+cv0c91gryPoIIIAAAggggAACCCAg4u2uZnoAAQQQQAABBBBAAAEEohIgcY+KiYUQQAABBBBAAAEEEPBWgMTdW39KRwABBBBAAAEEEEAgKgES96iYWAgBBBBAAAEEEEAAAW8FSNy99ad0BBBAAAEEEEAAAQSiEiBxj4qJhRBAAAEEEEAAAQQQ8FaAxN1bf0pHAAEEEEAAAQQQQCAqARL3qJhYCAEEEEAAAQQQQAABbwVI3L31p3QEEEAAAQQQQAABBKISIHGPiomFEEAAAQQQQAABBBDwVoDE3Vt/SkcAAQQQQAABBBBAICoBEveomFgIAQQQQAABBBBAAAFvBUjcvfWndAQQQAABBBBAAAEEohIgcY+KiYUQQAABBBBAAAEEEPBWgMTdW39KRwABBBBAAAEEEEAgKgES96iYWAgBBBBAAAEEEEAAAW8FSNy99ad0BBBAAAEEEEAAAQSiEiBxj4qJhRBAAAEEEEAAAQQQ8FaAxN1bf0pHAAEEEEAAAQQQQCAqARL3qJhYCAEEEEAAAQQQQAABbwVI3L31p3QEEEAAAQQQQAABBKISIHGPiomFEEAAAQQQQAABBBDwVoDE3Vt/SkcAAQQQQAABBBBAICoBEveomFgIAQQQQAABBBBAAAFvBUjcvfWndAQQQAABBBBAAAEEohIgcY+KiYUQQAABBBBAAAEEEPBWgMTdW39KRwABBBBAAAEEEEAgKgES96iYWAgBBBBAAAEEEEAAAW8FSNy99ad0BBBAAAEEEEAAAQSiEiBxj4qJhRBAAAEEEEAAAQQQ8FaAxN1bf0pHAAEEEEAAAQQQQCAqARL3qJhYCAEEEEAAAQQQQAABbwVI3L31p3QEEEAAAQQQQAABBKISIHGPiomFEEAAAQQQQAABBBDwVoDE3Vt/SkcAAQQQQAABBBBAICoBEveomFgIAQQQQAABBBBAAAFvBUjcvfWndAQQQAABBBBAAAEEohIgcY+KiYUQQAABBBBAAAEEEPBWgMTdW39KRwABBBBAAAEEEEAgKgES96iYWAgBBBBAAAEEEEAAAW8FSNy99ad0BBBAAAEEEEAAAQSiEiBxj4qJhRBAAAEEEEAAAQQQ8FaAxN1bf0pHAAEEEEAAAQQQQCAqARL3qJhYCAEEEEAAAQQQQAABbwVI3L31p3QEEEAAAQQQQAABBKIS+H/PF4IaNJV6+gAAAABJRU5ErkJggg==" /><!-- --></p>
<p>A new convenience S3 function for <code>sort</code>
(<code>sort.dendrogram</code>) was added:</p>
<div class="sourceCode" id="cb82"><pre class="sourceCode r"><code class="sourceCode r"><span id="cb82-1"><a href="#cb82-1" tabindex="-1"></a>dend110 <span class="ot">&lt;-</span> <span class="fu">c</span>(<span class="dv">1</span>, <span class="dv">3</span><span class="sc">:</span><span class="dv">5</span>, <span class="dv">7</span>,<span class="dv">9</span>,<span class="dv">10</span>) <span class="sc">%&gt;%</span> dist <span class="sc">%&gt;%</span> <span class="fu">hclust</span>(<span class="at">method =</span> <span class="st">&quot;average&quot;</span>) <span class="sc">%&gt;%</span> </span>
<span id="cb82-2"><a href="#cb82-2" tabindex="-1"></a> as.dendrogram <span class="sc">%&gt;%</span> color_labels <span class="sc">%&gt;%</span> color_branches</span>
<span id="cb82-3"><a href="#cb82-3" tabindex="-1"></a></span>
<span id="cb82-4"><a href="#cb82-4" tabindex="-1"></a><span class="fu">par</span>(<span class="at">mfrow =</span> <span class="fu">c</span>(<span class="dv">1</span>,<span class="dv">3</span>))</span>
<span id="cb82-5"><a href="#cb82-5" tabindex="-1"></a>dend110 <span class="sc">%&gt;%</span> <span class="fu">plot</span>(<span class="at">main =</span> <span class="st">&quot;Original tree&quot;</span>)</span>
<span id="cb82-6"><a href="#cb82-6" tabindex="-1"></a>dend110 <span class="sc">%&gt;%</span> sort <span class="sc">%&gt;%</span> <span class="fu">plot</span>(<span class="at">main =</span> <span class="st">&quot;labels sort&quot;</span>)</span>
<span id="cb82-7"><a href="#cb82-7" tabindex="-1"></a>dend110 <span class="sc">%&gt;%</span> <span class="fu">sort</span>(<span class="at">type =</span> <span class="st">&quot;nodes&quot;</span>) <span class="sc">%&gt;%</span> <span class="fu">plot</span>(<span class="at">main =</span> <span class="st">&quot;nodes (ladderize) sort&quot;</span>)</span></code></pre></div>
<p><img role="img" src="data:image/png;base64,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" /><!-- --></p>
</div>
<div id="unbranching" class="section level4">
<h4>Unbranching</h4>
<p>We can unbranch a tree:</p>
<div class="sourceCode" id="cb83"><pre class="sourceCode r"><code class="sourceCode r"><span id="cb83-1"><a href="#cb83-1" tabindex="-1"></a><span class="fu">par</span>(<span class="at">mfrow =</span> <span class="fu">c</span>(<span class="dv">1</span>,<span class="dv">3</span>))</span>
<span id="cb83-2"><a href="#cb83-2" tabindex="-1"></a>dend15 <span class="sc">%&gt;%</span> <span class="fu">plot</span>(<span class="at">main =</span> <span class="st">&quot;First tree&quot;</span>, <span class="at">ylim =</span> <span class="fu">c</span>(<span class="dv">0</span>,<span class="dv">3</span>))</span>
<span id="cb83-3"><a href="#cb83-3" tabindex="-1"></a>dend15 <span class="sc">%&gt;%</span> </span>
<span id="cb83-4"><a href="#cb83-4" tabindex="-1"></a> unbranch <span class="sc">%&gt;%</span> </span>
<span id="cb83-5"><a href="#cb83-5" tabindex="-1"></a> <span class="fu">plot</span>(<span class="at">main =</span> <span class="st">&quot;Unbranched tree&quot;</span>, <span class="at">ylim =</span> <span class="fu">c</span>(<span class="dv">0</span>,<span class="dv">3</span>))</span>
<span id="cb83-6"><a href="#cb83-6" tabindex="-1"></a>dend15 <span class="sc">%&gt;%</span> </span>
<span id="cb83-7"><a href="#cb83-7" tabindex="-1"></a> <span class="fu">unbranch</span>(<span class="dv">2</span>) <span class="sc">%&gt;%</span> </span>
<span id="cb83-8"><a href="#cb83-8" tabindex="-1"></a> <span class="fu">plot</span>(<span class="at">main =</span> <span class="st">&quot;Unbranched tree (2)&quot;</span>, <span class="at">ylim =</span> <span class="fu">c</span>(<span class="dv">0</span>,<span class="dv">3</span>))</span></code></pre></div>
<p><img role="img" src="data:image/png;base64,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" /><!-- --></p>
</div>
<div id="pruning" class="section level4">
<h4>Pruning</h4>
<p>We can prune a tree based on the labels:</p>
<div class="sourceCode" id="cb84"><pre class="sourceCode r"><code class="sourceCode r"><span id="cb84-1"><a href="#cb84-1" tabindex="-1"></a><span class="fu">par</span>(<span class="at">mfrow =</span> <span class="fu">c</span>(<span class="dv">1</span>,<span class="dv">2</span>))</span>
<span id="cb84-2"><a href="#cb84-2" tabindex="-1"></a>dend15 <span class="sc">%&gt;%</span> <span class="fu">set</span>(<span class="st">&quot;labels_colors&quot;</span>) <span class="sc">%&gt;%</span> </span>
<span id="cb84-3"><a href="#cb84-3" tabindex="-1"></a> <span class="fu">plot</span>(<span class="at">main =</span> <span class="st">&quot;First tree&quot;</span>, <span class="at">ylim =</span> <span class="fu">c</span>(<span class="dv">0</span>,<span class="dv">3</span>))</span>
<span id="cb84-4"><a href="#cb84-4" tabindex="-1"></a>dend15 <span class="sc">%&gt;%</span> <span class="fu">set</span>(<span class="st">&quot;labels_colors&quot;</span>) <span class="sc">%&gt;%</span></span>
<span id="cb84-5"><a href="#cb84-5" tabindex="-1"></a> <span class="fu">prune</span>(<span class="fu">c</span>(<span class="st">&quot;1&quot;</span>,<span class="st">&quot;5&quot;</span>)) <span class="sc">%&gt;%</span> </span>
<span id="cb84-6"><a href="#cb84-6" tabindex="-1"></a> <span class="fu">plot</span>(<span class="at">main =</span> <span class="st">&quot;Prunned tree&quot;</span>, <span class="at">ylim =</span> <span class="fu">c</span>(<span class="dv">0</span>,<span class="dv">3</span>))</span></code></pre></div>
<p><img role="img" src="data:image/png;base64,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" /><!-- --></p>
<p>For pruning two trees to have matching labels, we can use the
<code>intersect_trees</code> function:</p>
<div class="sourceCode" id="cb85"><pre class="sourceCode r"><code class="sourceCode r"><span id="cb85-1"><a href="#cb85-1" tabindex="-1"></a><span class="fu">par</span>(<span class="at">mfrow =</span> <span class="fu">c</span>(<span class="dv">1</span>,<span class="dv">2</span>))</span>
<span id="cb85-2"><a href="#cb85-2" tabindex="-1"></a>dend_intersected <span class="ot">&lt;-</span> <span class="fu">intersect_trees</span>(dend13, dend15)</span>
<span id="cb85-3"><a href="#cb85-3" tabindex="-1"></a>dend_intersected[[<span class="dv">1</span>]] <span class="sc">%&gt;%</span> plot</span>
<span id="cb85-4"><a href="#cb85-4" tabindex="-1"></a>dend_intersected[[<span class="dv">2</span>]] <span class="sc">%&gt;%</span> plot</span></code></pre></div>
<p><img role="img" src="data:image/png;base64,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" /><!-- --></p>
</div>
<div id="collapse-branches" class="section level4">
<h4>Collapse branches</h4>
<p>We can collapse branches under a tolerance level using the
<code>collapse_branch</code> function:</p>
<div class="sourceCode" id="cb86"><pre class="sourceCode r"><code class="sourceCode r"><span id="cb86-1"><a href="#cb86-1" tabindex="-1"></a><span class="co"># ladderize is like sort(..., type = &quot;node&quot;)</span></span>
<span id="cb86-2"><a href="#cb86-2" tabindex="-1"></a>dend <span class="ot">&lt;-</span> iris[<span class="dv">1</span><span class="sc">:</span><span class="dv">5</span>,<span class="sc">-</span><span class="dv">5</span>] <span class="sc">%&gt;%</span> dist <span class="sc">%&gt;%</span> hclust <span class="sc">%&gt;%</span> as.dendrogram</span>
<span id="cb86-3"><a href="#cb86-3" tabindex="-1"></a><span class="fu">par</span>(<span class="at">mfrow =</span> <span class="fu">c</span>(<span class="dv">1</span>,<span class="dv">3</span>))</span>
<span id="cb86-4"><a href="#cb86-4" tabindex="-1"></a>dend <span class="sc">%&gt;%</span> ladderize <span class="sc">%&gt;%</span> <span class="fu">plot</span>(<span class="at">horiz =</span> <span class="cn">TRUE</span>); <span class="fu">abline</span>(<span class="at">v =</span> .<span class="dv">2</span>, <span class="at">col =</span> <span class="dv">2</span>, <span class="at">lty =</span> <span class="dv">2</span>)</span>
<span id="cb86-5"><a href="#cb86-5" tabindex="-1"></a>dend <span class="sc">%&gt;%</span> <span class="fu">collapse_branch</span>(<span class="at">tol =</span> <span class="fl">0.2</span>) <span class="sc">%&gt;%</span> ladderize <span class="sc">%&gt;%</span> <span class="fu">plot</span>(<span class="at">horiz =</span> <span class="cn">TRUE</span>)</span>
<span id="cb86-6"><a href="#cb86-6" tabindex="-1"></a>dend <span class="sc">%&gt;%</span> <span class="fu">collapse_branch</span>(<span class="at">tol =</span> <span class="fl">0.2</span>) <span class="sc">%&gt;%</span> ladderize <span class="sc">%&gt;%</span> <span class="fu">hang.dendrogram</span>(<span class="at">hang =</span> <span class="dv">0</span>) <span class="sc">%&gt;%</span> <span class="fu">plot</span>(<span class="at">horiz =</span> <span class="cn">TRUE</span>)</span></code></pre></div>
<p><img role="img" src="data:image/png;base64,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" /><!-- --></p>
</div>
</div>
<div id="adding-extra-bars-and-rectangles" class="section level3">
<h3>Adding extra bars and rectangles</h3>
<div id="adding-colored-rectangles" class="section level4">
<h4>Adding colored rectangles</h4>
<p>Earlier we have seen how to highlight clusters in a dendrogram by
coloring branches. We can also draw rectangles around the branches of a
dendrogram in order to highlight the corresponding clusters. First the
dendrogram is cut at a certain level, then a rectangle is drawn around
selected branches. This is done using the <code>rect.dendrogram</code>,
which is modeled based on the <code>rect.hclust</code> function. One
advantage of <code>rect.dendrogram</code> over <code>rect.hclust</code>,
is that it also works on horizontally plotted trees:</p>
<div class="sourceCode" id="cb87"><pre class="sourceCode r"><code class="sourceCode r"><span id="cb87-1"><a href="#cb87-1" tabindex="-1"></a><span class="fu">layout</span>(<span class="fu">t</span>(<span class="fu">c</span>(<span class="dv">1</span>,<span class="dv">1</span>,<span class="dv">1</span>,<span class="dv">2</span>,<span class="dv">2</span>)))</span>
<span id="cb87-2"><a href="#cb87-2" tabindex="-1"></a></span>
<span id="cb87-3"><a href="#cb87-3" tabindex="-1"></a>dend15 <span class="sc">%&gt;%</span> <span class="fu">set</span>(<span class="st">&quot;branches_k_color&quot;</span>) <span class="sc">%&gt;%</span> plot</span>
<span id="cb87-4"><a href="#cb87-4" tabindex="-1"></a>dend15 <span class="sc">%&gt;%</span> <span class="fu">rect.dendrogram</span>(<span class="at">k=</span><span class="dv">3</span>, </span>
<span id="cb87-5"><a href="#cb87-5" tabindex="-1"></a> <span class="at">border =</span> <span class="dv">8</span>, <span class="at">lty =</span> <span class="dv">5</span>, <span class="at">lwd =</span> <span class="dv">2</span>)</span>
<span id="cb87-6"><a href="#cb87-6" tabindex="-1"></a></span>
<span id="cb87-7"><a href="#cb87-7" tabindex="-1"></a>dend15 <span class="sc">%&gt;%</span> <span class="fu">set</span>(<span class="st">&quot;branches_k_color&quot;</span>) <span class="sc">%&gt;%</span> <span class="fu">plot</span>(<span class="at">horiz =</span> <span class="cn">TRUE</span>)</span>
<span id="cb87-8"><a href="#cb87-8" tabindex="-1"></a>dend15 <span class="sc">%&gt;%</span> <span class="fu">rect.dendrogram</span>(<span class="at">k=</span><span class="dv">3</span>, <span class="at">horiz =</span> <span class="cn">TRUE</span>,</span>
<span id="cb87-9"><a href="#cb87-9" tabindex="-1"></a> <span class="at">border =</span> <span class="dv">8</span>, <span class="at">lty =</span> <span class="dv">5</span>, <span class="at">lwd =</span> <span class="dv">2</span>)</span></code></pre></div>
<p><img role="img" src="data:image/png;base64,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" /><!-- --></p>
</div>
<div id="adding-colored-bars" class="section level4">
<h4>Adding colored bars</h4>
<p>Adding colored bars to a dendrogram may be useful to show clusters or
some outside categorization of the items. For example:</p>
<div class="sourceCode" id="cb88"><pre class="sourceCode r"><code class="sourceCode r"><span id="cb88-1"><a href="#cb88-1" tabindex="-1"></a>is_odd <span class="ot">&lt;-</span> <span class="fu">ifelse</span>(<span class="fu">labels</span>(dend15) <span class="sc">%%</span> <span class="dv">2</span>, <span class="dv">2</span>,<span class="dv">3</span>)</span>
<span id="cb88-2"><a href="#cb88-2" tabindex="-1"></a>is_345 <span class="ot">&lt;-</span> <span class="fu">ifelse</span>(<span class="fu">labels</span>(dend15) <span class="sc">&gt;</span> <span class="dv">2</span>, <span class="dv">3</span>,<span class="dv">4</span>)</span>
<span id="cb88-3"><a href="#cb88-3" tabindex="-1"></a>is_12 <span class="ot">&lt;-</span> <span class="fu">ifelse</span>(<span class="fu">labels</span>(dend15) <span class="sc">&lt;=</span> <span class="dv">2</span>, <span class="dv">3</span>,<span class="dv">4</span>)</span>
<span id="cb88-4"><a href="#cb88-4" tabindex="-1"></a>k_3 <span class="ot">&lt;-</span> <span class="fu">cutree</span>(dend15,<span class="at">k =</span> <span class="dv">3</span>, <span class="at">order_clusters_as_data =</span> <span class="cn">FALSE</span>) </span>
<span id="cb88-5"><a href="#cb88-5" tabindex="-1"></a><span class="co"># The FALSE above makes sure we get the clusters in the order of the</span></span>
<span id="cb88-6"><a href="#cb88-6" tabindex="-1"></a><span class="co"># dendrogram, and not in that of the original data. It is like:</span></span>
<span id="cb88-7"><a href="#cb88-7" tabindex="-1"></a><span class="co"># cutree(dend15, k = 3)[order.dendrogram(dend15)]</span></span>
<span id="cb88-8"><a href="#cb88-8" tabindex="-1"></a>the_bars <span class="ot">&lt;-</span> <span class="fu">cbind</span>(is_odd, is_345, is_12, k_3)</span>
<span id="cb88-9"><a href="#cb88-9" tabindex="-1"></a>the_bars[the_bars<span class="sc">==</span><span class="dv">2</span>] <span class="ot">&lt;-</span> <span class="dv">8</span></span>
<span id="cb88-10"><a href="#cb88-10" tabindex="-1"></a></span>
<span id="cb88-11"><a href="#cb88-11" tabindex="-1"></a>dend15 <span class="sc">%&gt;%</span> plot</span>
<span id="cb88-12"><a href="#cb88-12" tabindex="-1"></a><span class="fu">colored_bars</span>(<span class="at">colors =</span> the_bars, <span class="at">dend =</span> dend15, <span class="at">sort_by_labels_order =</span> <span class="cn">FALSE</span>)</span></code></pre></div>
<p><img role="img" 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v37Zc+ePdKgQYOquqSZLDg3N7fKrlddLuQZwcrKyhINHo1HsDIyMkQ/ZRWN8aLYSeDmm2+WadOmyYMPPmingQmyinuwYiA9I1g6NyEFAhDwNwFr3hL62w3UHgIQiIcAghUPJY6BAASsIGDNI+HcuXNl27Zt5UKZOHGi9O3bt9xj2AkBCFRfAtYIlnZCzpo1Szp37izDhw+PSbxp06Yxt7MRAhDwBwFrBKt3796yZs0aM/xm4cKF0qZNG394gFpCAAJxE7CqD6tr166mlbVr1664K8CBEICAfwhY08IKIR87dmxokW8IQAACEQSsamFFWMYKBCAAgSgCCFYUEFYhAAF7CSBY9voGyyAAgSgCCFYUEFYhAAF7CSBY9voGyyAAgSgCCFYUEFYhAAF7CSBY9voGyyAAgSgCCFYUEFYhAAF7CSBY9voGyyAAgSgCCFYUEFYhAAF7CSBY9voGyyAAgSgCCFYUEFYhAAF7CVg3+PnChQtmTsLTp09L3bp1zaQTOvFE7dq17aWIZRCAQJUQsEqwdLaUefPmmSmemjRpIsXFxXL27FkpKCiQOXPmSGZmZpVA4SIQgICdBKwRrEWLFpn56A4dOiStW7eOoLVv3z4ZOHCg9OnTRzp27BixjxUIQMA/BKzpw9q5c6dMmjSplFipK3r06CFjxoyRtWvX+scz1BQCEChFwBrBGjBggCxevFguXbpUyshz587JsmXLaF2VIsMGCPiLgDWPhCNGjJDNmzdLWlqa9OzZU3TCCe3DUrHSR8Jx48bJkCFD/OUdagsBCEQQsEaw6tSpI/Pnz5fJkyebt4THjx+XlJQUadWqlZnaS4WMAgEI+JuANYIVcoN2qtOxHqLBNwQgEE7AOsEKNy58OTs7W9LT001cVvj2WMsrV66UmTNnxtplth05cqTMfYnccebMGenSpYt06tQpIafds2eP6PyNiSjvvvuuHDx4UJo3b56I01X7c+BLO1zsGcHKysqSxo0bxyVYGRkZop+ySqL+0Zd1/tB2fcy97bbbzHyLoW22fN99992i9lHiI4Av4+OU7KM8I1g5OTnJZsH5IQABywlYE9ZgOSfMgwAELCCAYFngBEyAAATiI2DNI+HcuXNl27Zt5Vo9ceJEE+JQ7kHshAAEqi0BawRLO8JnzZolnTt3luHDh8cErsGkFAhAwL8ErBGs3r17m7dpgwYNkoULF0qbNm386xVqDgEIxCRgVR9W165dTStr165dMY1lIwQg4G8C1rSwQm4YO3ZsaJFvCEAAAhEErGphRVjGCgQgAIEoAghWFBBWIQABewkgWPb6BssgAIEoAghWFBBWIQABewkgWPb6BssgAIEoAghWFBBWIQABewkgWPb6BssgAIEoAghWFBBWIQABewkgWPb6BssgAIEoAghWFBBWIQABewkgWPb6BssgAIEoAghWFBBWIQABewlYM/i5qKhIAoGA1Kr1uUmFhYWyevVquXjxogwbNsxMQGEvRiyDAASqgoA1LSydlmvq1Kmmzvn5+WY6q5EjR8rs2bPNbNBTpkypCh5cAwIQsJiANYIVzmjBggVSUFAgubm5snv3bjl27JgsXbpUtm7dGn4YyxCAgM8IWClYOmllZmamNGrUyLijZcuWMnr0aNm7d6/P3EN1IQCBcAJWCZYK0rp166R///4R4pSXlyebNm0STZ9MgQAE/EvAGsEaPHiwtG/fXqZPny4jRoyQJUuWyIEDB0yne9u2baVZs2bSvXt3/3qKmkMAAmLNW8L09HTRjxZ9Q3j48GHp0KGDpKamyooVK0yrC39BAAL+JmCNYIW7QUMbunXrVrJJHxEpEIAABKwUrFhuyc7ONi2wdu3axdodsW3lypWiYRJllSNHjpS1i+0QgIDFBDwjWFlZWSZ4NB7BysjIEP2UVXTSVgoEIOA9Ap4RrJycHO/RxWIIQCChBKwTrAsXLpgO99OnT0vdunVFW1T6qV27dkIrzskgAAHvEbBKsKZNmybz5s0zIQxNmjSR4uJiOXv2rIl6nzNnjgkm9R5iLIYABBJFwBrBWrRokQlfOHTokLRu3Tqifvv27ZOBAwdKnz59pGPHjhH7WIEABPxDwJrA0Z07d8qkSZNKiZW6okePHjJmzBhZu3atfzxDTSEAgVIErBGsAQMGyOLFi+XSpUuljDx37pwsW7aM1lUpMmyAgL8IWPNIqMNxNm/ebFLJ9OzZU5o2bWr6sFSs9JFw3LhxMmTIEH95h9pCAAIRBKwRrDp16sj8+fNl8uTJ5i3h8ePHJSUlRVq1aiV9+/Y1QhZhOSsQgIDvCFgjWCHy2qlOx3qIBt8QgEA4AWv6sMKNYhkCEIBALAIIViwqbIMABKwkgGBZ6RaMggAEYhFAsGJRYRsEIGAlAQTLSrdgFAQgEIsAghWLCtsgAAErCSBYVroFoyAAgVgEEKxYVNgGAQhYSQDBstItGAUBCMQigGDFosI2CEDASgIIlpVuwSgIQCAWAevGEpIiOZab2AYBCCgBqwSLFMnclBCAQHkErBEsUiSX5yb2QQACSsCaPixSJHNDQgACVyNgjWCRIvlqrmI/BCBgzSMhKZK5GSEAgasRsEawSJF8NVexHwIQsEawQq4gRXKIBN8QgEA0AesEK9rA0Hp2drakp6ebaetD28r6XrlypcycObOs3aITXFRFqVGjhlx//fVVcSnH11C71D7bSv369W0zydiDL+1wS0ogWOwwpXwrbr/9dnn66adl6NCh5R/IXghAoNoS8IxgVVsPUDEIQCBuAtY9EjI0J27fcSAEfEfAKsFiaI7v7j8qDAFHBKwRLIbmOPIbB0PAlwSseU3E0Bxf3n9UGgKOCFgjWAzNceQ3DoaALwlYI1g6NKdLly6SlpYmd955p3zrW9+Sb37zm6JC1r59exk9erQMGTLEl05KVKU1gmXXrl1y/vz5iFMWFhbK6tWrI7ZV1UpRUZHo9UNFl1977TX54x//WMrO0DFufRcXF8uOHTsMq7y8PLfMiHndTz75RP72t7/F3FedNloX1vDee+/J4cOHTXBnSkqKtGrVSvr27WuErDqBr+q65OTkGNHPzc01AvHCCy/I+PHjjRkXL16Uhg0bihsheT//+c+NMM2ePVvy8/Nl0KBB8s4775j/vA4ePCgTJkyQ559/vqpxmeutX79eHn/8cdH78KWXXpJnnnlGNmzYIKmpqSYgeNOmTdKiRYsqt00Dn1U8w4tuGzt2rLFPt3fo0CF8d7VZtqbTPUTUy0NzVBRUCMorKr4TJ04s75Ck7Js3b55MnjxZHnroIfnnP/8p3/ve94xwPfbYY0m5XkVOumDBAikoKBAV1UaNGsmpU6ekT58+8o1vfMO0tCtyzor+RkX8vvvuk1mzZomG2nz961+Xm2++WU6fPi21atWSRx991AQy//rXv67oJSr8Ox3x8e9//1vq1q1bcg4VMGXXo0cPs+3SpUsl+6rTgnWC5WW4nTt3Fm2av/nmm/LEE0/ErEqnTp1ibk/2xo0bN8pvfvMb01r48pe/LNo66N+/vzRt2lSGDRuW7MvHdf4zZ85IZmamESv9QcuWLU2rcO/evVUuWHv27DFDwcaMGWNs37Ztm3zta1+Ta6+91qxry88tsdfH0gceeEB69eolv/zlL0UTB/zrX/8yfnz33XeNfdX1LwQrgZ697rrrTP+Ltgrq1asn48aNS+DZK3eqfv36iY6x/M53vmNOdOONN5r1e+65R2rWrFm5k1fy1ypI69atMwL6hz/8oeRs2k+kwqpCW9Xl1ltvlX379snZs2fN458+soaX119/XVT43Sjt2rUT/Q9IxUrvtYULF5YIqRv2VOk1dSwhJbEEgjd6INj3kdiTVvJswX/4gWB/YOCRRx6JOJNuD/Zf6XjSiO1VtRJsuQSCfS+B3r17B4ItBWPH/v37A8HHsECzZs0CGRkZVWVKqesEx64aNidOnIjYFxT9QFA0AsH+1ojtbqwEuyEC3bp1CwQf9QPB7hQ3TKjSa1rX6V6lau2zi125csW80OjevXtEzbVfZu7cueVmuIj4QZJW9A2hvnDRfkzt2H7jjTdMqytJl4vrtB988IF84QtfiGiFbt++Xe644w7TlxXXSZJ8kLZEf/KTn8ixY8dEW37VuSBY1dm71A0C1YyANXFY1Ywr1YEABJJAAMFKAlROCQEIJIcAgpUcrpwVAhBIAgEEKwlQOSUEIJAcAghWcrhyVghAIAkEXBMsHfSqY8ecFh2CoL+lQAAC/iPgWqT7li1bzGBSHWAab9FxXUuXLhWNO/n2t78tv/jFL+L9adzHaTS4ZonQ8WK2lcuXL8s111xjm1lmTJuO/bNtFp5CuSJ59S5KzRT7fFkYKJRaFtpVJEWybOGrMrj3XdbdZ2qQfZ4sA9OBAwfMEIRgFLQZD6cDUTUlTTBCuoxfVGyzTjPVpEkTOXfuXMVOkMRf6RAaFS3big736dmzp21myYVGZ+Vot7eloIbzlnyyK5MiNSQgkRkXkn3NeM7foOZ1cn3HJvEc6soxrj0ShtdWo3N1AK6Oii+r6MDirVu3mpaPRkRX5HGyrHOzHQIQ8AYB1wVLB73qsIL58+ebnExlYdNHtODYMlm8eLHowN3hw4cnvHVV1rXZDgEI2EHAVcHScWOa6+hnP/uZtGnTJi4id999t/z5z382KVy0P4sCAQj4h4CrgqWdtJq0Taf3ulrCMe1T+vDDD00rSxOYPfzww/LXv/7VP56iphCAQLDnz8Vy0003mayOmldIRau8oqmTg6lGTBrfYD4Lkw+IaevLI8Y+CFQ/Aq4KVgin5uz+y1/+YlL3hrZFf2tqYc34ePvtt5vUHtqfNWrUqOjDWIcABKoxgaSFNXz66aflZkH80pe+JPrRojE8wSRpZjn8L82rrVk8Q+XZZ5+Vp556yuSubtCgQWhzQr81MLWw6D+zuCT05JU8ma0BsxpqofnEbSuXCy7LlfwrUljDvkDjlGBIQyD4x7byWY2CUhNc2GRj0gRL3+RpnunGjRvHXV8NJtWPFn0E1CDOH//4x2Zd3yRmZWXJsmXLzLrms9aJFTSfdSLLBflIPi34RFKvTRqaCptbVFAkNWu7m844lvGvr18nObv3SSDFigZ7iYmBlCLJu/ZCUBbssssYmHIlmOM1tcRWexYC8l9Z+XLrnfZYFG5J0v5V6htAbTk5KW3btjV9VPr2TzvUdVYQnfZJi2ZT/P3vfy9vv/22ifbWeQr1uO9///tmf6L+uumOjjJ6y1D5pOhiok6ZsPPYGmx46sDDcup/BiSsnok6UUrwRI2D+n7ZvgaW1AgaV2xfA0sa160haW2aJcoFCT9P0v7r0XAFnUFGH+t0qItGpms09KpVq8qshIY2aICodqqvWbPGCJZOpKofna1EY7Bq165tIt11ctXdu3eXeS52QAAC1Y9A0gTryJEjZpCyzuDbvHlzk6tbW0h/+tOfyqV4ww03mCBSnX4qvGhebX0M1KL9XTpTiM6tR4EABPxDIGmCFUKo0xDpG0CdR03nTNOI9soU7du66667RDvgb7vttsqcit9CAAIeI5B0wVJR0fnddF48nSVX53vT2VsqUrT/6qtf/aqZjff++++vyCn4DQQg4GECSet0DzHRiTE1Qv3JJ58006Rr/JROTqmz+jopOm25jh/UR0qNdKdAAAL+I5D0FpZ2uG/YsMHMLxec8FHGjx/vWKzULS+88ILk5uaKjiXUGCz90IflvxuWGvubQKXmJdRARg0a1PCDqxUNJNXkc9EJ6MpLSqfBiJqloSqnUt/9v2/Ks289IfnFl65WJRf264t6+96FnzySKedO9XGBx9UvWSsY1lBoYVjD1S1354h6wfyQLz/QWe686T8B2+5YEvuqlXokdJI1VMMSQuXll1+Wt956y8xSq4KlSfO++93vSo8ePUqG26jAaRjEnDlzzJAc/a3GXGkHfqg899xzMm7cuNBqQr6PHwjI5qePSkrwj3UlJZi8L2BfxtHCwhflcn7zYMZRu8Q0OGghGCJTM/gfnn2KVVQYtKuWfXZdDIYUfTz8qeCtXw0zjvbv31+WL1/u+N+1hieo2Pz0pz+VL37xi+bN4fHjx81A6NDJNML9/PnzoVXzvWPHDtGMo61bt47YnsiVtNa3SMsRm+V8vn3ZIG0NNuzUY6E0bLkxkW5I2LlSU1LlSqBiL3kSZkSME30eBGzff4qacfTG6ppxVN/aTZo0ybhj27ZtJk6qS5cupkUUa2xgyG+a1lizhz700EMmKLRhw4ZGhLp27WoOWbFihXnUDO9c1/QzGoSqgaMqXBQIQMB/BCrV6a4i8sEHHxhq+hZQJ4k4ePCgCT3QjvbySosWLczbQ21taVT79OnTzeHasf7MM8/Iiy++GPFzDY3QFtdjjz0mTz/9tKi4ha4dcSArEIBAtSVQKcEKp6I5rTSp3uOPP25iruJ5g3f99dfLkiVL5Ctf+YqMHTvWnO7BBx+UX/3qV6XSJeuQHe0z07CGv//976K5sH73u9+Fm8AyBCBQzQkkTLBmzJhhUhenpqZKZmamTJkypUx0Gjj6zjvvmLeLKkQata6ZGXRsoE779eijj5oW1MaNG+WHP/yh6WhPSUkRHZ4TKnfccYfs2bMntMo3BCDgAwIJEyx9y6eioo9zc+fOLbefSY/T+Cx9fNTyj3/8wwy3ueWWW+T06dOmJaWtKR30rJ3zOqOOTvM1ZMgQk6tHc1a9+uqrJh+8D3xEFSEAgf8nUKmwhnCKP/jBD8xjnSbcO3nypLz00kvhuyOWNbZK+6jGjBlj4qw0DY22sjTeSucEDBVtrWmAqMZuqXjdc889JuOodr5rCMR9990XOpRvCEDABwQSHjj60UcfRYjO1RhGZxWNPl479uvVq2dab7pPHyc/++wzI2LaUosORI3+vdP1jYfPy/hX9sqnwZAnSnwEWt/0qjS8ISe+g6v4qGC0U3AuY/vinaoYQ9yXu6bGNTKj/3Nye/P0uH9TlQdWqoUVK3A0vIWkAaKxZlDu0KFDSYBoeArkWBXX4Tx6nVD/lba69DN16lRJS0sryUga67cV2VZ89rBcXDdLbIwbza9ZGAw2tC998/E3P5MG9c8E83raFVekKYgDKcVSIxg8alspSM0LBtomrEcmYdUrDgaOnmsXnPW8ecJOmdATVUqwrhY4qvFWeXl5pQx2kja51I+TvKFT21by5NjhphWX5Es5Pv3uvuuk4Br7mn6d3+snTU61clyfqviBdjPYmAv/c1/mVwUCR9fQwNFWHez0pVakUoKlgaPaV6XhBRo4OmHCBPMPvV27dqKtq1DCvVjE9u7dK7NnzzZv+rRv6kc/+pFpRanAaUBpTk6OaC6t8MkNtN/rt7/9rRnKo1kftIVFgQAE/EOgUm3SigaOah+UporRabs0lEEzkmr8lhZ91NOOdh2CM3jwYPPWULdv2rTJ5NNau3ataBbTXbt26WYKBCDgIwKVamGFcwoFjo4cOdKELGjCvrKKhihoCc0r+Mgjj4hOQKGtK42Q1/TH2pmuE01oy0uLhj5oeEOoVaVZRykQgIC/CFSqhRWOykngqGZu0AwNoaKd6Prop4IVnq5Gwx90nKGW8O26ro+EFAhAwF8EEiZYTgJHNbpdBzFrH5gWnUlHh+moCA0cONBEzOt2fewLDaLWOCyNhldh048Oz6FAAAL+IpCwR0IngaOKWDvcJ0+ebDIwaCxWKE2NbtdHPxUnfcOjj4padJsO1dFBzxp/lcwUM+aC/AUBCFhHoFKBo7Fqk6jA0Y8//jjmRKz62KiPiokOGA3VRSeAfeWVVyo8UUboPMn4PththxSm2hfW0ObDm6XR/96QjCpX+pz6n5vOc2lbsdWX19SoLf89+Hnpm2bfxLjqw4S1sEI3RKICR8uaNVqj3pNZNJjv0KFDybxEhc+dfyL4BF+ndoV/n6wfHr38vlz76cdSs4ZdAZoqVDrutCpTbMfL2FZfFgYFvmHf/wyPi7c+VXVcwltY4YZryIK2iKKLBo6GkvVF72MdAhCAQFkEkipYZV2U7RCAAAQqQiBhbwkrcnF+AwEIQMAJAQTLCS2OhQAEXCWAYLmKn4tDAAJOCCBYTmhxLAQg4CoBBMtV/FwcAhBwQgDBckKLYyEAAVcJIFiu4ufiEICAEwIIlhNaHAsBCLhKAMFyFT8XhwAEnBBAsJzQ4lgIQMBVAgiWq/i5OAQg4IQAguWEFsdCAAKuEkCwXMXPxSEAAScEECwntDgWAhBwlQCC5Sp+Lg4BCDghgGA5ocWxEICAqwQQLFfxc3EIQMAJAQTLCS2OhQAEXCWAYLmKn4tDAAJOCCBYTmhxLAQg4CoBBMtV/FwcAhBwQgDBckKLYyEAAVcJ/B9zr9uAsK7wIQAAAABJRU5ErkJggg==" /><!-- --></p>
<div class="sourceCode" id="cb89"><pre class="sourceCode r"><code class="sourceCode r"><span id="cb89-1"><a href="#cb89-1" tabindex="-1"></a><span class="co"># we use sort_by_labels_order = FALSE since &quot;the_bars&quot; were set based on the</span></span>
<span id="cb89-2"><a href="#cb89-2" tabindex="-1"></a><span class="co"># labels order. The more common use case is when the bars are based on a second variable</span></span>
<span id="cb89-3"><a href="#cb89-3" tabindex="-1"></a><span class="co"># from the same data.frame as dend was created from. Thus, the default </span></span>
<span id="cb89-4"><a href="#cb89-4" tabindex="-1"></a><span class="co"># sort_by_labels_order = TRUE would make more sense.</span></span></code></pre></div>
<p>Another example, based on mtcars (in which the default of
<code>sort_by_labels_order = TRUE</code> makes sense):</p>
<div class="sourceCode" id="cb90"><pre class="sourceCode r"><code class="sourceCode r"><span id="cb90-1"><a href="#cb90-1" tabindex="-1"></a>dend_mtcars <span class="ot">&lt;-</span> mtcars[, <span class="fu">c</span>(<span class="st">&quot;mpg&quot;</span>, <span class="st">&quot;disp&quot;</span>)] <span class="sc">%&gt;%</span> dist <span class="sc">%&gt;%</span> <span class="fu">hclust</span>(<span class="at">method =</span> <span class="st">&quot;average&quot;</span>) <span class="sc">%&gt;%</span> as.dendrogram</span>
<span id="cb90-2"><a href="#cb90-2" tabindex="-1"></a></span>
<span id="cb90-3"><a href="#cb90-3" tabindex="-1"></a><span class="fu">par</span>(<span class="at">mar =</span> <span class="fu">c</span>(<span class="dv">10</span>,<span class="dv">2</span>,<span class="dv">1</span>,<span class="dv">1</span>))</span>
<span id="cb90-4"><a href="#cb90-4" tabindex="-1"></a><span class="fu">plot</span>(dend_mtcars)</span>
<span id="cb90-5"><a href="#cb90-5" tabindex="-1"></a>the_bars <span class="ot">&lt;-</span> <span class="fu">ifelse</span>(mtcars<span class="sc">$</span>am, <span class="st">&quot;grey&quot;</span>, <span class="st">&quot;gold&quot;</span>)</span>
<span id="cb90-6"><a href="#cb90-6" tabindex="-1"></a><span class="fu">colored_bars</span>(<span class="at">colors =</span> the_bars, <span class="at">dend =</span> dend_mtcars, <span class="at">rowLabels =</span> <span class="st">&quot;am&quot;</span>)</span></code></pre></div>
<p><img role="img" 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" /><!-- --></p>
</div>
</div>
</div>
<div id="ggplot2-integration" class="section level2">
<h2>ggplot2 integration</h2>
<p>The core process is to transform a dendrogram into a
<code>ggdend</code> object using <code>as.ggdend</code>, and then plot
it using <code>ggplot</code> (a new S3 <code>ggplot.ggdend</code>
function is available). These two steps can be done in one command with
either the function <code>ggplot</code> or <code>ggdend</code>.</p>
<p>The reason we want to have <code>as.ggdend</code> (and not only
<code>ggplot.dendrogram</code>), is (1) so that you could create your
own mapping of <code>ggdend</code> and, (2) since <code>as.ggdend</code>
might be slow for large trees, it is probably better to be able to run
it only once for such cases.</p>
<p>A <code>ggdend</code> class object is a list with 3 components:
segments, labels, nodes. Each one contains the graphical parameters from
the original dendrogram, but in a tabular form that can be used by
<code>ggplot2+geom_segment+geom_text</code> to create a dendrogram
plot.</p>
<p>The function <code>prepare.ggdend</code> is used by
<code>plot.ggdend</code> to take the ggdend object and prepare it for
plotting. This is because the defaults of various parameters in
dendrogram’s are not always stored in the object itself, but are
built-in into the <code>plot.dendrogram</code> function. For example,
the color of the labels is not (by default) specified in the dendrogram
(only if we change it from black to something else). Hence, when taking
the object into a different plotting engine (say ggplot2), we want to
prepare the object by filling-in various defaults. This function is
automatically invoked within the <code>plot.ggdend</code> function. You
would probably use it only if you’d wish to build your own ggplot2
mapping.</p>
<div class="sourceCode" id="cb91"><pre class="sourceCode r"><code class="sourceCode r"><span id="cb91-1"><a href="#cb91-1" tabindex="-1"></a><span class="co"># Create a complex dend:</span></span>
<span id="cb91-2"><a href="#cb91-2" tabindex="-1"></a>dend <span class="ot">&lt;-</span> iris[<span class="dv">1</span><span class="sc">:</span><span class="dv">30</span>,<span class="sc">-</span><span class="dv">5</span>] <span class="sc">%&gt;%</span> dist <span class="sc">%&gt;%</span> hclust <span class="sc">%&gt;%</span> as.dendrogram <span class="sc">%&gt;%</span></span>
<span id="cb91-3"><a href="#cb91-3" tabindex="-1"></a> <span class="fu">set</span>(<span class="st">&quot;branches_k_color&quot;</span>, <span class="at">k=</span><span class="dv">3</span>) <span class="sc">%&gt;%</span> <span class="fu">set</span>(<span class="st">&quot;branches_lwd&quot;</span>, <span class="fu">c</span>(<span class="fl">1.5</span>,<span class="dv">1</span>,<span class="fl">1.5</span>)) <span class="sc">%&gt;%</span></span>
<span id="cb91-4"><a href="#cb91-4" tabindex="-1"></a> <span class="fu">set</span>(<span class="st">&quot;branches_lty&quot;</span>, <span class="fu">c</span>(<span class="dv">1</span>,<span class="dv">1</span>,<span class="dv">3</span>,<span class="dv">1</span>,<span class="dv">1</span>,<span class="dv">2</span>)) <span class="sc">%&gt;%</span></span>
<span id="cb91-5"><a href="#cb91-5" tabindex="-1"></a> <span class="fu">set</span>(<span class="st">&quot;labels_colors&quot;</span>) <span class="sc">%&gt;%</span> <span class="fu">set</span>(<span class="st">&quot;labels_cex&quot;</span>, <span class="fu">c</span>(.<span class="dv">9</span>,<span class="fl">1.2</span>)) <span class="sc">%&gt;%</span> </span>
<span id="cb91-6"><a href="#cb91-6" tabindex="-1"></a> <span class="fu">set</span>(<span class="st">&quot;nodes_pch&quot;</span>, <span class="dv">19</span>) <span class="sc">%&gt;%</span> <span class="fu">set</span>(<span class="st">&quot;nodes_col&quot;</span>, <span class="fu">c</span>(<span class="st">&quot;orange&quot;</span>, <span class="st">&quot;black&quot;</span>, <span class="st">&quot;plum&quot;</span>, <span class="cn">NA</span>))</span>
<span id="cb91-7"><a href="#cb91-7" tabindex="-1"></a><span class="co"># plot the dend in usual &quot;base&quot; plotting engine:</span></span>
<span id="cb91-8"><a href="#cb91-8" tabindex="-1"></a><span class="fu">plot</span>(dend)</span></code></pre></div>
<p><img role="img" src="data:image/png;base64,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" /><!-- --></p>
<div class="sourceCode" id="cb92"><pre class="sourceCode r"><code class="sourceCode r"><span id="cb92-1"><a href="#cb92-1" tabindex="-1"></a><span class="co"># Now let&#39;s do it in ggplot2 :)</span></span>
<span id="cb92-2"><a href="#cb92-2" tabindex="-1"></a>ggd1 <span class="ot">&lt;-</span> <span class="fu">as.ggdend</span>(dend)</span>
<span id="cb92-3"><a href="#cb92-3" tabindex="-1"></a><span class="fu">library</span>(ggplot2)</span>
<span id="cb92-4"><a href="#cb92-4" tabindex="-1"></a><span class="co"># the nodes are not implemented yet.</span></span>
<span id="cb92-5"><a href="#cb92-5" tabindex="-1"></a><span class="fu">ggplot</span>(ggd1) <span class="co"># reproducing the above plot in ggplot2 :)</span></span></code></pre></div>
<p><img role="img" src="data:image/png;base64,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" /><!-- --></p>
<div class="sourceCode" id="cb93"><pre class="sourceCode r"><code class="sourceCode r"><span id="cb93-1"><a href="#cb93-1" tabindex="-1"></a><span class="fu">ggplot</span>(ggd1, <span class="at">horiz =</span> <span class="cn">TRUE</span>, <span class="at">theme =</span> <span class="cn">NULL</span>) <span class="co"># horiz plot (and let&#39;s remove theme) in ggplot2</span></span></code></pre></div>
<p><img role="img" 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" /><!-- --></p>
<div class="sourceCode" id="cb94"><pre class="sourceCode r"><code class="sourceCode r"><span id="cb94-1"><a href="#cb94-1" tabindex="-1"></a><span class="co"># Adding some extra spice to it...</span></span>
<span id="cb94-2"><a href="#cb94-2" tabindex="-1"></a><span class="co"># creating a radial plot:</span></span>
<span id="cb94-3"><a href="#cb94-3" tabindex="-1"></a><span class="co"># ggplot(ggd1) + scale_y_reverse(expand = c(0.2, 0)) + coord_polar(theta=&quot;x&quot;)</span></span>
<span id="cb94-4"><a href="#cb94-4" tabindex="-1"></a><span class="co"># The text doesn&#39;t look so great, so let&#39;s remove it:</span></span>
<span id="cb94-5"><a href="#cb94-5" tabindex="-1"></a><span class="fu">ggplot</span>(ggd1, <span class="at">labels =</span> <span class="cn">FALSE</span>) <span class="sc">+</span> <span class="fu">scale_y_reverse</span>(<span class="at">expand =</span> <span class="fu">c</span>(<span class="fl">0.2</span>, <span class="dv">0</span>)) <span class="sc">+</span> <span class="fu">coord_polar</span>(<span class="at">theta=</span><span class="st">&quot;x&quot;</span>)</span></code></pre></div>
<p><img role="img" src="data:image/png;base64,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" /><!-- --></p>
<p><strong>Credit:</strong> These functions are <em>extended</em>
versions of the functions <code>ggdendrogram</code>,
<code>dendro_data</code> (and the hidden <code>dendrogram_data</code>)
from Andrie de Vries’s <a href="https://cran.r-project.org/package=ggdendro">ggdendro</a> package.
The motivation for this fork is the need to add more graphical
parameters to the plotted tree. This required a strong mixture of
functions from ggdendro and dendextend (to the point that it seemed
better to just fork the code into its current form).</p>
</div>
<div id="enhancing-other-packages" class="section level2">
<h2>Enhancing other packages</h2>
<p>The dendextend package aims to extend and enhance features from the R
ecosystem. Let us take a look at several examples.</p>
<div id="dendser" class="section level3">
<h3>DendSer</h3>
<p>The DendSer package helps in re-arranging a dendrogram to optimize
visualization-based cost functions. Until now it was only used for
<code>hclust</code> objects, but it can easily be connected to
<code>dendrogram</code> objects by trying to turn the dendrogram into
hclust, on which it runs DendSer. This can be used to rotate the
dendrogram easily by using the <code>rotate_DendSer</code> function:</p>
<div class="sourceCode" id="cb95"><pre class="sourceCode r"><code class="sourceCode r"><span id="cb95-1"><a href="#cb95-1" tabindex="-1"></a><span class="cf">if</span>(<span class="fu">require</span>(DendSer)) {</span>
<span id="cb95-2"><a href="#cb95-2" tabindex="-1"></a> <span class="fu">par</span>(<span class="at">mfrow =</span> <span class="fu">c</span>(<span class="dv">1</span>,<span class="dv">2</span>))</span>
<span id="cb95-3"><a href="#cb95-3" tabindex="-1"></a> <span class="fu">DendSer.dendrogram</span>(dend15)</span>
<span id="cb95-4"><a href="#cb95-4" tabindex="-1"></a> </span>
<span id="cb95-5"><a href="#cb95-5" tabindex="-1"></a> dend15 <span class="sc">%&gt;%</span> color_branches <span class="sc">%&gt;%</span> plot</span>
<span id="cb95-6"><a href="#cb95-6" tabindex="-1"></a> dend15 <span class="sc">%&gt;%</span> color_branches <span class="sc">%&gt;%</span> rotate_DendSer <span class="sc">%&gt;%</span> plot</span>
<span id="cb95-7"><a href="#cb95-7" tabindex="-1"></a>}</span></code></pre></div>
<p><img role="img" src="data:image/png;base64,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" /><!-- --></p>
</div>
<div id="gplots" class="section level3">
<h3>gplots</h3>
<p>The gplots package brings us the <code>heatmap.2</code> function. In
it, we can use our modified dendrograms to get more informative
heat-maps:</p>
<div class="sourceCode" id="cb96"><pre class="sourceCode r"><code class="sourceCode r"><span id="cb96-1"><a href="#cb96-1" tabindex="-1"></a><span class="fu">library</span>(gplots)</span>
<span id="cb96-2"><a href="#cb96-2" tabindex="-1"></a></span>
<span id="cb96-3"><a href="#cb96-3" tabindex="-1"></a>x <span class="ot">&lt;-</span> <span class="fu">as.matrix</span>(datasets<span class="sc">::</span>mtcars)</span>
<span id="cb96-4"><a href="#cb96-4" tabindex="-1"></a></span>
<span id="cb96-5"><a href="#cb96-5" tabindex="-1"></a><span class="fu">heatmap.2</span>(x)</span></code></pre></div>
<p><img role="img" src="data:image/png;base64,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" /><!-- --></p>
<div class="sourceCode" id="cb97"><pre class="sourceCode r"><code class="sourceCode r"><span id="cb97-1"><a href="#cb97-1" tabindex="-1"></a><span class="co"># now let&#39;s spice up the dendrograms a bit:</span></span>
<span id="cb97-2"><a href="#cb97-2" tabindex="-1"></a>Rowv <span class="ot">&lt;-</span> x <span class="sc">%&gt;%</span> dist <span class="sc">%&gt;%</span> hclust <span class="sc">%&gt;%</span> as.dendrogram <span class="sc">%&gt;%</span></span>
<span id="cb97-3"><a href="#cb97-3" tabindex="-1"></a> <span class="fu">set</span>(<span class="st">&quot;branches_k_color&quot;</span>, <span class="at">k =</span> <span class="dv">3</span>) <span class="sc">%&gt;%</span> <span class="fu">set</span>(<span class="st">&quot;branches_lwd&quot;</span>, <span class="dv">4</span>) <span class="sc">%&gt;%</span></span>
<span id="cb97-4"><a href="#cb97-4" tabindex="-1"></a> ladderize</span>
<span id="cb97-5"><a href="#cb97-5" tabindex="-1"></a><span class="co"># rotate_DendSer(ser_weight = dist(x))</span></span>
<span id="cb97-6"><a href="#cb97-6" tabindex="-1"></a>Colv <span class="ot">&lt;-</span> x <span class="sc">%&gt;%</span> t <span class="sc">%&gt;%</span> dist <span class="sc">%&gt;%</span> hclust <span class="sc">%&gt;%</span> as.dendrogram <span class="sc">%&gt;%</span></span>
<span id="cb97-7"><a href="#cb97-7" tabindex="-1"></a> <span class="fu">set</span>(<span class="st">&quot;branches_k_color&quot;</span>, <span class="at">k =</span> <span class="dv">2</span>) <span class="sc">%&gt;%</span> <span class="fu">set</span>(<span class="st">&quot;branches_lwd&quot;</span>, <span class="dv">4</span>) <span class="sc">%&gt;%</span></span>
<span id="cb97-8"><a href="#cb97-8" tabindex="-1"></a> ladderize</span>
<span id="cb97-9"><a href="#cb97-9" tabindex="-1"></a><span class="co"># rotate_DendSer(ser_weight = dist(t(x)))</span></span>
<span id="cb97-10"><a href="#cb97-10" tabindex="-1"></a></span>
<span id="cb97-11"><a href="#cb97-11" tabindex="-1"></a><span class="fu">heatmap.2</span>(x, <span class="at">Rowv =</span> Rowv, <span class="at">Colv =</span> Colv)</span></code></pre></div>
<p><img role="img" src="data:image/png;base64,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" /><!-- --></p>
</div>
<div id="nmf" class="section level3">
<h3>NMF</h3>
<p>The same as gplots, NMF offers a heatmap function called
<code>aheatmap</code>. We can update it just as we would
<code>heatmap.2</code>.</p>
<p>Since NMF was removed from CRAN (it could still be installed from
source), the example code is still available but not ran in this
vignette.</p>
<div class="sourceCode" id="cb98"><pre class="sourceCode r"><code class="sourceCode r"><span id="cb98-1"><a href="#cb98-1" tabindex="-1"></a><span class="co"># library(NMF)</span></span>
<span id="cb98-2"><a href="#cb98-2" tabindex="-1"></a><span class="co"># </span></span>
<span id="cb98-3"><a href="#cb98-3" tabindex="-1"></a><span class="co"># x &lt;- as.matrix(datasets::mtcars)</span></span>
<span id="cb98-4"><a href="#cb98-4" tabindex="-1"></a><span class="co"># </span></span>
<span id="cb98-5"><a href="#cb98-5" tabindex="-1"></a><span class="co"># # now let&#39;s spice up the dendrograms a bit:</span></span>
<span id="cb98-6"><a href="#cb98-6" tabindex="-1"></a><span class="co"># Rowv &lt;- x %&gt;% dist %&gt;% hclust %&gt;% as.dendrogram %&gt;%</span></span>
<span id="cb98-7"><a href="#cb98-7" tabindex="-1"></a><span class="co"># set(&quot;branches_k_color&quot;, k = 3) %&gt;% set(&quot;branches_lwd&quot;, 4) %&gt;%</span></span>
<span id="cb98-8"><a href="#cb98-8" tabindex="-1"></a><span class="co"># ladderize</span></span>
<span id="cb98-9"><a href="#cb98-9" tabindex="-1"></a><span class="co"># # rotate_DendSer(ser_weight = dist(x))</span></span>
<span id="cb98-10"><a href="#cb98-10" tabindex="-1"></a><span class="co"># Colv &lt;- x %&gt;% t %&gt;% dist %&gt;% hclust %&gt;% as.dendrogram %&gt;%</span></span>
<span id="cb98-11"><a href="#cb98-11" tabindex="-1"></a><span class="co"># set(&quot;branches_k_color&quot;, k = 2) %&gt;% set(&quot;branches_lwd&quot;, 4) %&gt;%</span></span>
<span id="cb98-12"><a href="#cb98-12" tabindex="-1"></a><span class="co"># ladderize</span></span>
<span id="cb98-13"><a href="#cb98-13" tabindex="-1"></a><span class="co"># # rotate_DendSer(ser_weight = dist(t(x)))</span></span>
<span id="cb98-14"><a href="#cb98-14" tabindex="-1"></a><span class="co"># </span></span>
<span id="cb98-15"><a href="#cb98-15" tabindex="-1"></a><span class="co"># aheatmap(x, Rowv = Rowv, Colv = Colv)</span></span></code></pre></div>
</div>
<div id="heatmaply" class="section level3">
<h3>heatmaply</h3>
<p>The heatmaply package create interactive heat-maps that are usable
from the R console, in the ‘RStudio’ viewer pane, in ‘R Markdown’
documents, and in ‘Shiny’ apps. By hovering the mouse pointer over a
cell or a dendrogram to show details, drag a rectangle to zoom.</p>
<p>The use is very similar to what we’ve seen before, we just use
<code>heatmaply</code> instead of <code>heatmap.2</code>:</p>
<div class="sourceCode" id="cb99"><pre class="sourceCode r"><code class="sourceCode r"><span id="cb99-1"><a href="#cb99-1" tabindex="-1"></a>x <span class="ot">&lt;-</span> <span class="fu">as.matrix</span>(datasets<span class="sc">::</span>mtcars)</span>
<span id="cb99-2"><a href="#cb99-2" tabindex="-1"></a><span class="co"># heatmaply(x)</span></span>
<span id="cb99-3"><a href="#cb99-3" tabindex="-1"></a><span class="co"># now let&#39;s spice up the dendrograms a bit:</span></span>
<span id="cb99-4"><a href="#cb99-4" tabindex="-1"></a>Rowv <span class="ot">&lt;-</span> x <span class="sc">%&gt;%</span> dist <span class="sc">%&gt;%</span> hclust <span class="sc">%&gt;%</span> as.dendrogram <span class="sc">%&gt;%</span></span>
<span id="cb99-5"><a href="#cb99-5" tabindex="-1"></a> <span class="fu">set</span>(<span class="st">&quot;branches_k_color&quot;</span>, <span class="at">k =</span> <span class="dv">3</span>) <span class="sc">%&gt;%</span> <span class="fu">set</span>(<span class="st">&quot;branches_lwd&quot;</span>, <span class="dv">4</span>) <span class="sc">%&gt;%</span></span>
<span id="cb99-6"><a href="#cb99-6" tabindex="-1"></a> ladderize</span>
<span id="cb99-7"><a href="#cb99-7" tabindex="-1"></a><span class="co"># rotate_DendSer(ser_weight = dist(x))</span></span>
<span id="cb99-8"><a href="#cb99-8" tabindex="-1"></a>Colv <span class="ot">&lt;-</span> x <span class="sc">%&gt;%</span> t <span class="sc">%&gt;%</span> dist <span class="sc">%&gt;%</span> hclust <span class="sc">%&gt;%</span> as.dendrogram <span class="sc">%&gt;%</span></span>
<span id="cb99-9"><a href="#cb99-9" tabindex="-1"></a> <span class="fu">set</span>(<span class="st">&quot;branches_k_color&quot;</span>, <span class="at">k =</span> <span class="dv">2</span>) <span class="sc">%&gt;%</span> <span class="fu">set</span>(<span class="st">&quot;branches_lwd&quot;</span>, <span class="dv">4</span>) <span class="sc">%&gt;%</span></span>
<span id="cb99-10"><a href="#cb99-10" tabindex="-1"></a> ladderize</span>
<span id="cb99-11"><a href="#cb99-11" tabindex="-1"></a><span class="co"># rotate_DendSer(ser_weight = dist(t(x)))</span></span></code></pre></div>
<p>Here we need to use <code>cache=FALSe</code> in the markdown:</p>
<div class="sourceCode" id="cb100"><pre class="sourceCode r"><code class="sourceCode r"><span id="cb100-1"><a href="#cb100-1" tabindex="-1"></a><span class="fu">library</span>(heatmaply)</span>
<span id="cb100-2"><a href="#cb100-2" tabindex="-1"></a><span class="fu">heatmaply</span>(x, <span class="at">Rowv =</span> Rowv, <span class="at">Colv =</span> Colv)</span></code></pre></div>
<p>I avoided running the code from above due to space issues on CRAN.
For live examples, please go to:</p>
<ul>
<li><a href="https://talgalili.github.io/heatmaply/articles/heatmaply.html" class="uri">https://talgalili.github.io/heatmaply/articles/heatmaply.html</a></li>
</ul>
</div>
<div id="dynamictreecut" class="section level3">
<h3>dynamicTreeCut</h3>
<p>The <code>cutreeDynamic</code> function offers a wrapper for two
methods of adaptive branch pruning of hierarchical clustering
dendrograms. The results of which can now be visualized by both updating
the branches, as well as using the <code>colored_bars</code> function
(which was adjusted for use with plots of dendrograms):</p>
<div class="sourceCode" id="cb101"><pre class="sourceCode r"><code class="sourceCode r"><span id="cb101-1"><a href="#cb101-1" tabindex="-1"></a><span class="co"># let&#39;s get the clusters</span></span>
<span id="cb101-2"><a href="#cb101-2" tabindex="-1"></a><span class="fu">library</span>(dynamicTreeCut)</span>
<span id="cb101-3"><a href="#cb101-3" tabindex="-1"></a><span class="fu">data</span>(iris)</span>
<span id="cb101-4"><a href="#cb101-4" tabindex="-1"></a>x <span class="ot">&lt;-</span> iris[,<span class="sc">-</span><span class="dv">5</span>] <span class="sc">%&gt;%</span> as.matrix</span>
<span id="cb101-5"><a href="#cb101-5" tabindex="-1"></a>hc <span class="ot">&lt;-</span> x <span class="sc">%&gt;%</span> dist <span class="sc">%&gt;%</span> hclust</span>
<span id="cb101-6"><a href="#cb101-6" tabindex="-1"></a>dend <span class="ot">&lt;-</span> hc <span class="sc">%&gt;%</span> as.dendrogram </span>
<span id="cb101-7"><a href="#cb101-7" tabindex="-1"></a></span>
<span id="cb101-8"><a href="#cb101-8" tabindex="-1"></a><span class="co"># Find special clusters:</span></span>
<span id="cb101-9"><a href="#cb101-9" tabindex="-1"></a>clusters <span class="ot">&lt;-</span> <span class="fu">cutreeDynamic</span>(hc, <span class="at">distM =</span> <span class="fu">as.matrix</span>(<span class="fu">dist</span>(x)), <span class="at">method =</span> <span class="st">&quot;tree&quot;</span>)</span>
<span id="cb101-10"><a href="#cb101-10" tabindex="-1"></a><span class="co"># we need to sort them to the order of the dendrogram:</span></span>
<span id="cb101-11"><a href="#cb101-11" tabindex="-1"></a>clusters <span class="ot">&lt;-</span> clusters[<span class="fu">order.dendrogram</span>(dend)]</span>
<span id="cb101-12"><a href="#cb101-12" tabindex="-1"></a>clusters_numbers <span class="ot">&lt;-</span> <span class="fu">unique</span>(clusters) <span class="sc">-</span> (<span class="dv">0</span> <span class="sc">%in%</span> clusters)</span>
<span id="cb101-13"><a href="#cb101-13" tabindex="-1"></a>n_clusters <span class="ot">&lt;-</span> <span class="fu">length</span>(clusters_numbers)</span>
<span id="cb101-14"><a href="#cb101-14" tabindex="-1"></a></span>
<span id="cb101-15"><a href="#cb101-15" tabindex="-1"></a><span class="fu">library</span>(colorspace)</span>
<span id="cb101-16"><a href="#cb101-16" tabindex="-1"></a>cols <span class="ot">&lt;-</span> <span class="fu">rainbow_hcl</span>(n_clusters)</span>
<span id="cb101-17"><a href="#cb101-17" tabindex="-1"></a>true_species_cols <span class="ot">&lt;-</span> <span class="fu">rainbow_hcl</span>(<span class="dv">3</span>)[<span class="fu">as.numeric</span>(iris[,][<span class="fu">order.dendrogram</span>(dend),<span class="dv">5</span>])]</span>
<span id="cb101-18"><a href="#cb101-18" tabindex="-1"></a>dend2 <span class="ot">&lt;-</span> dend <span class="sc">%&gt;%</span> </span>
<span id="cb101-19"><a href="#cb101-19" tabindex="-1"></a> <span class="fu">branches_attr_by_clusters</span>(clusters, <span class="at">values =</span> cols) <span class="sc">%&gt;%</span> </span>
<span id="cb101-20"><a href="#cb101-20" tabindex="-1"></a> <span class="fu">color_labels</span>(<span class="at">col =</span> true_species_cols)</span>
<span id="cb101-21"><a href="#cb101-21" tabindex="-1"></a><span class="fu">plot</span>(dend2)</span>
<span id="cb101-22"><a href="#cb101-22" tabindex="-1"></a>clusters <span class="ot">&lt;-</span> <span class="fu">factor</span>(clusters)</span>
<span id="cb101-23"><a href="#cb101-23" tabindex="-1"></a><span class="fu">levels</span>(clusters)[<span class="sc">-</span><span class="dv">1</span>] <span class="ot">&lt;-</span> cols[<span class="sc">-</span><span class="dv">5</span>][<span class="fu">c</span>(<span class="dv">1</span>,<span class="dv">4</span>,<span class="dv">2</span>,<span class="dv">3</span>)] </span>
<span id="cb101-24"><a href="#cb101-24" tabindex="-1"></a> <span class="co"># Get the clusters to have proper colors.</span></span>
<span id="cb101-25"><a href="#cb101-25" tabindex="-1"></a> <span class="co"># fix the order of the colors to match the branches.</span></span>
<span id="cb101-26"><a href="#cb101-26" tabindex="-1"></a><span class="fu">colored_bars</span>(clusters, dend, <span class="at">sort_by_labels_order =</span> <span class="cn">FALSE</span>)</span></code></pre></div>
<p><img role="img" src="data:image/png;base64,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" /><!-- --></p>
<div class="sourceCode" id="cb102"><pre class="sourceCode r"><code class="sourceCode r"><span id="cb102-1"><a href="#cb102-1" tabindex="-1"></a><span class="co"># here we used sort_by_labels_order = FALSE since the clusters were already sorted based on the dendrogram&#39;s order</span></span></code></pre></div>
</div>
<div id="pvclust" class="section level3">
<h3>pvclust</h3>
<p>The pvclust library calculates “p-values”” for hierarchical
clustering via multiscale bootstrap re-sampling. Hierarchical clustering
is done for given data and p-values are computed for each of the
clusters. The dendextend package let’s us reproduce the plot from
pvclust, but with a dendrogram (instead of an hclust object), which also
lets us extend the visualization.</p>
<div class="sourceCode" id="cb103"><pre class="sourceCode r"><code class="sourceCode r"><span id="cb103-1"><a href="#cb103-1" tabindex="-1"></a><span class="fu">par</span>(<span class="at">mfrow =</span> <span class="fu">c</span>(<span class="dv">1</span>,<span class="dv">2</span>))</span>
<span id="cb103-2"><a href="#cb103-2" tabindex="-1"></a></span>
<span id="cb103-3"><a href="#cb103-3" tabindex="-1"></a><span class="fu">library</span>(pvclust)</span>
<span id="cb103-4"><a href="#cb103-4" tabindex="-1"></a><span class="fu">data</span>(lung) <span class="co"># 916 genes for 73 subjects</span></span>
<span id="cb103-5"><a href="#cb103-5" tabindex="-1"></a><span class="fu">set.seed</span>(<span class="dv">13134</span>)</span>
<span id="cb103-6"><a href="#cb103-6" tabindex="-1"></a>result <span class="ot">&lt;-</span> <span class="fu">pvclust</span>(lung[<span class="dv">1</span><span class="sc">:</span><span class="dv">100</span>, <span class="dv">1</span><span class="sc">:</span><span class="dv">10</span>], </span>
<span id="cb103-7"><a href="#cb103-7" tabindex="-1"></a> <span class="at">method.dist=</span><span class="st">&quot;cor&quot;</span>, <span class="at">method.hclust=</span><span class="st">&quot;average&quot;</span>, <span class="at">nboot=</span><span class="dv">10</span>)</span>
<span id="cb103-8"><a href="#cb103-8" tabindex="-1"></a></span>
<span id="cb103-9"><a href="#cb103-9" tabindex="-1"></a><span class="co"># with pvrect</span></span>
<span id="cb103-10"><a href="#cb103-10" tabindex="-1"></a><span class="fu">plot</span>(result)</span>
<span id="cb103-11"><a href="#cb103-11" tabindex="-1"></a><span class="fu">pvrect</span>(result)</span>
<span id="cb103-12"><a href="#cb103-12" tabindex="-1"></a></span>
<span id="cb103-13"><a href="#cb103-13" tabindex="-1"></a><span class="co"># with a dendrogram of pvrect</span></span>
<span id="cb103-14"><a href="#cb103-14" tabindex="-1"></a>dend <span class="ot">&lt;-</span> <span class="fu">as.dendrogram</span>(result)</span>
<span id="cb103-15"><a href="#cb103-15" tabindex="-1"></a>result <span class="sc">%&gt;%</span> as.dendrogram <span class="sc">%&gt;%</span> </span>
<span id="cb103-16"><a href="#cb103-16" tabindex="-1"></a> <span class="fu">plot</span>(<span class="at">main =</span> <span class="st">&quot;Cluster dendrogram with AU/BP values (%)</span><span class="sc">\n</span><span class="st"> reproduced plot with dendrogram&quot;</span>)</span>
<span id="cb103-17"><a href="#cb103-17" tabindex="-1"></a>result <span class="sc">%&gt;%</span> text</span>
<span id="cb103-18"><a href="#cb103-18" tabindex="-1"></a>result <span class="sc">%&gt;%</span> pvrect</span></code></pre></div>
<p><img role="img" src="data:image/png;base64,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" /><!-- --></p>
<p>Let’s color and thicken the branches based on the p-values:</p>
<div class="sourceCode" id="cb104"><pre class="sourceCode r"><code class="sourceCode r"><span id="cb104-1"><a href="#cb104-1" tabindex="-1"></a><span class="fu">par</span>(<span class="at">mfrow =</span> <span class="fu">c</span>(<span class="dv">2</span>,<span class="dv">2</span>))</span>
<span id="cb104-2"><a href="#cb104-2" tabindex="-1"></a></span>
<span id="cb104-3"><a href="#cb104-3" tabindex="-1"></a><span class="co"># with a modified dendrogram of pvrect</span></span>
<span id="cb104-4"><a href="#cb104-4" tabindex="-1"></a>dend <span class="sc">%&gt;%</span> <span class="fu">pvclust_show_signif</span>(result) <span class="sc">%&gt;%</span> </span>
<span id="cb104-5"><a href="#cb104-5" tabindex="-1"></a> <span class="fu">plot</span>(<span class="at">main =</span> <span class="st">&quot;Cluster dendrogram </span><span class="sc">\n</span><span class="st"> bp values are highlighted by signif&quot;</span>)</span>
<span id="cb104-6"><a href="#cb104-6" tabindex="-1"></a></span>
<span id="cb104-7"><a href="#cb104-7" tabindex="-1"></a>dend <span class="sc">%&gt;%</span> <span class="fu">pvclust_show_signif</span>(result, <span class="at">show_type =</span> <span class="st">&quot;lwd&quot;</span>) <span class="sc">%&gt;%</span> </span>
<span id="cb104-8"><a href="#cb104-8" tabindex="-1"></a> <span class="fu">plot</span>(<span class="at">main =</span> <span class="st">&quot;Cluster dendrogram with AU/BP values (%)</span><span class="sc">\n</span><span class="st"> bp values are highlighted by signif&quot;</span>)</span>
<span id="cb104-9"><a href="#cb104-9" tabindex="-1"></a>result <span class="sc">%&gt;%</span> text</span>
<span id="cb104-10"><a href="#cb104-10" tabindex="-1"></a>result <span class="sc">%&gt;%</span> <span class="fu">pvrect</span>(<span class="at">alpha=</span><span class="fl">0.95</span>)</span>
<span id="cb104-11"><a href="#cb104-11" tabindex="-1"></a></span>
<span id="cb104-12"><a href="#cb104-12" tabindex="-1"></a></span>
<span id="cb104-13"><a href="#cb104-13" tabindex="-1"></a>dend <span class="sc">%&gt;%</span> <span class="fu">pvclust_show_signif_gradient</span>(result) <span class="sc">%&gt;%</span> </span>
<span id="cb104-14"><a href="#cb104-14" tabindex="-1"></a> <span class="fu">plot</span>(<span class="at">main =</span> <span class="st">&quot;Cluster dendrogram with AU/BP values (%)</span><span class="sc">\n</span><span class="st"> bp values are colored by signif&quot;</span>)</span>
<span id="cb104-15"><a href="#cb104-15" tabindex="-1"></a></span>
<span id="cb104-16"><a href="#cb104-16" tabindex="-1"></a>dend <span class="sc">%&gt;%</span></span>
<span id="cb104-17"><a href="#cb104-17" tabindex="-1"></a> <span class="fu">pvclust_show_signif_gradient</span>(result) <span class="sc">%&gt;%</span></span>
<span id="cb104-18"><a href="#cb104-18" tabindex="-1"></a> <span class="fu">pvclust_show_signif</span>(result) <span class="sc">%&gt;%</span></span>
<span id="cb104-19"><a href="#cb104-19" tabindex="-1"></a> <span class="fu">plot</span>(<span class="at">main =</span> <span class="st">&quot;Cluster dendrogram with AU/BP values (%)</span><span class="sc">\n</span><span class="st"> bp values are colored+highlighted by signif&quot;</span>)</span>
<span id="cb104-20"><a href="#cb104-20" tabindex="-1"></a>result <span class="sc">%&gt;%</span> text</span>
<span id="cb104-21"><a href="#cb104-21" tabindex="-1"></a>result <span class="sc">%&gt;%</span> <span class="fu">pvrect</span>(<span class="at">alpha=</span><span class="fl">0.95</span>)</span></code></pre></div>
<p><img role="img" src="data:image/png;base64,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" /><!-- --></p>
</div>
<div id="circlize" class="section level3">
<h3>circlize</h3>
<p>Circular layout is an efficient way for the visualization of huge
amounts of information. The circlize package provides an implementation
of circular layout generation in R, including a solution for dendrogram
objects produced using dendextend:</p>
<div class="sourceCode" id="cb105"><pre class="sourceCode r"><code class="sourceCode r"><span id="cb105-1"><a href="#cb105-1" tabindex="-1"></a><span class="fu">library</span>(circlize)</span>
<span id="cb105-2"><a href="#cb105-2" tabindex="-1"></a></span>
<span id="cb105-3"><a href="#cb105-3" tabindex="-1"></a>dend <span class="ot">&lt;-</span> iris[<span class="dv">1</span><span class="sc">:</span><span class="dv">40</span>,<span class="sc">-</span><span class="dv">5</span>] <span class="sc">%&gt;%</span> dist <span class="sc">%&gt;%</span> hclust <span class="sc">%&gt;%</span> as.dendrogram <span class="sc">%&gt;%</span></span>
<span id="cb105-4"><a href="#cb105-4" tabindex="-1"></a> <span class="fu">set</span>(<span class="st">&quot;branches_k_color&quot;</span>, <span class="at">k=</span><span class="dv">3</span>) <span class="sc">%&gt;%</span> <span class="fu">set</span>(<span class="st">&quot;branches_lwd&quot;</span>, <span class="fu">c</span>(<span class="dv">5</span>,<span class="dv">2</span>,<span class="fl">1.5</span>)) <span class="sc">%&gt;%</span></span>
<span id="cb105-5"><a href="#cb105-5" tabindex="-1"></a> <span class="fu">set</span>(<span class="st">&quot;branches_lty&quot;</span>, <span class="fu">c</span>(<span class="dv">1</span>,<span class="dv">1</span>,<span class="dv">3</span>,<span class="dv">1</span>,<span class="dv">1</span>,<span class="dv">2</span>)) <span class="sc">%&gt;%</span></span>
<span id="cb105-6"><a href="#cb105-6" tabindex="-1"></a> <span class="fu">set</span>(<span class="st">&quot;labels_colors&quot;</span>) <span class="sc">%&gt;%</span> <span class="fu">set</span>(<span class="st">&quot;labels_cex&quot;</span>, <span class="fu">c</span>(.<span class="dv">6</span>,<span class="fl">1.5</span>)) <span class="sc">%&gt;%</span></span>
<span id="cb105-7"><a href="#cb105-7" tabindex="-1"></a> <span class="fu">set</span>(<span class="st">&quot;nodes_pch&quot;</span>, <span class="dv">19</span>) <span class="sc">%&gt;%</span> <span class="fu">set</span>(<span class="st">&quot;nodes_col&quot;</span>, <span class="fu">c</span>(<span class="st">&quot;orange&quot;</span>, <span class="st">&quot;black&quot;</span>, <span class="st">&quot;plum&quot;</span>, <span class="cn">NA</span>))</span>
<span id="cb105-8"><a href="#cb105-8" tabindex="-1"></a></span>
<span id="cb105-9"><a href="#cb105-9" tabindex="-1"></a><span class="fu">par</span>(<span class="at">mar =</span> <span class="fu">rep</span>(<span class="dv">0</span>,<span class="dv">4</span>))</span>
<span id="cb105-10"><a href="#cb105-10" tabindex="-1"></a><span class="fu">circlize_dendrogram</span>(dend)</span></code></pre></div>
<p><img role="img" src="data:image/png;base64,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" /><!-- --></p>
<div class="sourceCode" id="cb106"><pre class="sourceCode r"><code class="sourceCode r"><span id="cb106-1"><a href="#cb106-1" tabindex="-1"></a><span class="co"># circlize_dendrogram(dend, labels = FALSE)</span></span>
<span id="cb106-2"><a href="#cb106-2" tabindex="-1"></a><span class="co"># circlize_dendrogram(dend, facing = &quot;inside&quot;, labels = FALSE)</span></span></code></pre></div>
<p>The above is a wrapper for functions in circlize. An advantage for
using the circlize package directly is for plotting a circular
dendrogram so that you can add more graphics for the elements in the
tree just by adding more tracks using . For example:</p>
<div class="sourceCode" id="cb107"><pre class="sourceCode r"><code class="sourceCode r"><span id="cb107-1"><a href="#cb107-1" tabindex="-1"></a><span class="co"># dend &lt;- iris[1:40,-5] %&gt;% dist %&gt;% hclust %&gt;% as.dendrogram %&gt;%</span></span>
<span id="cb107-2"><a href="#cb107-2" tabindex="-1"></a><span class="co"># set(&quot;branches_k_color&quot;, k=3) %&gt;% set(&quot;branches_lwd&quot;, c(5,2,1.5)) %&gt;%</span></span>
<span id="cb107-3"><a href="#cb107-3" tabindex="-1"></a><span class="co"># set(&quot;branches_lty&quot;, c(1,1,3,1,1,2)) %&gt;%</span></span>
<span id="cb107-4"><a href="#cb107-4" tabindex="-1"></a><span class="co"># set(&quot;labels_colors&quot;) %&gt;% set(&quot;labels_cex&quot;, c(.9,1.2)) %&gt;%</span></span>
<span id="cb107-5"><a href="#cb107-5" tabindex="-1"></a><span class="co"># set(&quot;nodes_pch&quot;, 19) %&gt;% set(&quot;nodes_col&quot;, c(&quot;orange&quot;, &quot;black&quot;, &quot;plum&quot;, NA))</span></span>
<span id="cb107-6"><a href="#cb107-6" tabindex="-1"></a></span>
<span id="cb107-7"><a href="#cb107-7" tabindex="-1"></a><span class="fu">set.seed</span>(<span class="dv">2015-07-10</span>) </span>
<span id="cb107-8"><a href="#cb107-8" tabindex="-1"></a><span class="co"># In the following we get the dendrogram but can also get extra information on top of it</span></span>
<span id="cb107-9"><a href="#cb107-9" tabindex="-1"></a><span class="fu">circos.initialize</span>(<span class="st">&quot;foo&quot;</span>, <span class="at">xlim =</span> <span class="fu">c</span>(<span class="dv">0</span>, <span class="dv">40</span>))</span>
<span id="cb107-10"><a href="#cb107-10" tabindex="-1"></a><span class="fu">circos.track</span>(<span class="at">ylim =</span> <span class="fu">c</span>(<span class="dv">0</span>, <span class="dv">1</span>), <span class="at">panel.fun =</span> <span class="cf">function</span>(x, y) {</span>
<span id="cb107-11"><a href="#cb107-11" tabindex="-1"></a> <span class="fu">circos.rect</span>(<span class="dv">1</span><span class="sc">:</span><span class="dv">40</span><span class="fl">-0.8</span>, <span class="fu">rep</span>(<span class="dv">0</span>, <span class="dv">40</span>), <span class="dv">1</span><span class="sc">:</span><span class="dv">40</span><span class="fl">-0.2</span>, <span class="fu">runif</span>(<span class="dv">40</span>), <span class="at">col =</span> <span class="fu">rand_color</span>(<span class="dv">40</span>), <span class="at">border =</span> <span class="cn">NA</span>)</span>
<span id="cb107-12"><a href="#cb107-12" tabindex="-1"></a>}, <span class="at">bg.border =</span> <span class="cn">NA</span>)</span>
<span id="cb107-13"><a href="#cb107-13" tabindex="-1"></a><span class="fu">circos.track</span>(<span class="at">ylim =</span> <span class="fu">c</span>(<span class="dv">0</span>, <span class="dv">1</span>), <span class="at">panel.fun =</span> <span class="cf">function</span>(x, y) {</span>
<span id="cb107-14"><a href="#cb107-14" tabindex="-1"></a> <span class="fu">circos.text</span>(<span class="dv">1</span><span class="sc">:</span><span class="dv">40</span><span class="fl">-0.5</span>, <span class="fu">rep</span>(<span class="dv">0</span>, <span class="dv">40</span>), <span class="fu">labels</span>(dend), <span class="at">col =</span> <span class="fu">labels_colors</span>(dend),</span>
<span id="cb107-15"><a href="#cb107-15" tabindex="-1"></a> <span class="at">facing =</span> <span class="st">&quot;clockwise&quot;</span>, <span class="at">niceFacing =</span> <span class="cn">TRUE</span>, <span class="at">adj =</span> <span class="fu">c</span>(<span class="dv">0</span>, <span class="fl">0.5</span>))</span>
<span id="cb107-16"><a href="#cb107-16" tabindex="-1"></a>}, <span class="at">bg.border =</span> <span class="cn">NA</span>, <span class="at">track.height =</span> <span class="fl">0.1</span>)</span>
<span id="cb107-17"><a href="#cb107-17" tabindex="-1"></a>max_height <span class="ot">=</span> <span class="fu">attr</span>(dend, <span class="st">&quot;height&quot;</span>)</span>
<span id="cb107-18"><a href="#cb107-18" tabindex="-1"></a><span class="fu">circos.track</span>(<span class="at">ylim =</span> <span class="fu">c</span>(<span class="dv">0</span>, max_height), <span class="at">panel.fun =</span> <span class="cf">function</span>(x, y) {</span>
<span id="cb107-19"><a href="#cb107-19" tabindex="-1"></a> <span class="fu">circos.dendrogram</span>(dend, <span class="at">max_height =</span> max_height)</span>
<span id="cb107-20"><a href="#cb107-20" tabindex="-1"></a>}, <span class="at">track.height =</span> <span class="fl">0.5</span>, <span class="at">bg.border =</span> <span class="cn">NA</span>)</span></code></pre></div>
<p><img role="img" 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" /><!-- --></p>
<div class="sourceCode" id="cb108"><pre class="sourceCode r"><code class="sourceCode r"><span id="cb108-1"><a href="#cb108-1" tabindex="-1"></a><span class="fu">circos.clear</span>()</span></code></pre></div>
</div>
</div>
<div id="comparing-two-dendrograms" class="section level2">
<h2>Comparing two dendrograms</h2>
<div id="dendlist" class="section level3">
<h3>dendlist</h3>
<p>A <code>dendlist</code> is a function which produces the dendlist
class. It accepts several dendrograms and/or dendlist objects and chain
them all together. This function aim to help with the usability of
comparing two or more dendrograms.</p>
<div class="sourceCode" id="cb109"><pre class="sourceCode r"><code class="sourceCode r"><span id="cb109-1"><a href="#cb109-1" tabindex="-1"></a>dend15 <span class="ot">&lt;-</span> <span class="fu">c</span>(<span class="dv">1</span><span class="sc">:</span><span class="dv">5</span>) <span class="sc">%&gt;%</span> dist <span class="sc">%&gt;%</span> <span class="fu">hclust</span>(<span class="at">method =</span> <span class="st">&quot;average&quot;</span>) <span class="sc">%&gt;%</span> as.dendrogram</span>
<span id="cb109-2"><a href="#cb109-2" tabindex="-1"></a>dend15 <span class="ot">&lt;-</span> dend15 <span class="sc">%&gt;%</span> <span class="fu">set</span>(<span class="st">&quot;labels_to_char&quot;</span>)</span>
<span id="cb109-3"><a href="#cb109-3" tabindex="-1"></a>dend51 <span class="ot">&lt;-</span> dend15 <span class="sc">%&gt;%</span> <span class="fu">set</span>(<span class="st">&quot;labels&quot;</span>, <span class="fu">as.character</span>(<span class="dv">5</span><span class="sc">:</span><span class="dv">1</span>)) <span class="sc">%&gt;%</span> <span class="fu">match_order_by_labels</span>(dend15)</span>
<span id="cb109-4"><a href="#cb109-4" tabindex="-1"></a>dends_15_51 <span class="ot">&lt;-</span> <span class="fu">dendlist</span>(dend15, dend51)</span>
<span id="cb109-5"><a href="#cb109-5" tabindex="-1"></a>dends_15_51</span></code></pre></div>
<pre><code>#&gt; [[1]]
#&gt; &#39;dendrogram&#39; with 2 branches and 5 members total, at height 2.5
#&gt;
#&gt; [[2]]
#&gt; &#39;dendrogram&#39; with 2 branches and 5 members total, at height 2.5
#&gt;
#&gt; attr(,&quot;class&quot;)
#&gt; [1] &quot;dendlist&quot;</code></pre>
<div class="sourceCode" id="cb111"><pre class="sourceCode r"><code class="sourceCode r"><span id="cb111-1"><a href="#cb111-1" tabindex="-1"></a><span class="fu">head</span>(dends_15_51)</span></code></pre></div>
<pre><code>#&gt; ============
#&gt; dend 1
#&gt; ---------
#&gt; --[dendrogram w/ 2 branches and 5 members at h = 2.5]
#&gt; |--[dendrogram w/ 2 branches and 2 members at h = 1]
#&gt; | |--leaf &quot;1&quot;
#&gt; | `--leaf &quot;2&quot;
#&gt; `--[dendrogram w/ 2 branches and 3 members at h = 1.5]
#&gt; |--leaf &quot;5&quot;
#&gt; `--[dendrogram w/ 2 branches and 2 members at h = 1]
#&gt; |--leaf &quot;3&quot;
#&gt; `--leaf &quot;4&quot;
#&gt; etc...
#&gt; ============
#&gt; dend 2
#&gt; ---------
#&gt; --[dendrogram w/ 2 branches and 5 members at h = 2.5]
#&gt; |--[dendrogram w/ 2 branches and 2 members at h = 1]
#&gt; | |--leaf &quot;5&quot;
#&gt; | `--leaf &quot;4&quot;
#&gt; `--[dendrogram w/ 2 branches and 3 members at h = 1.5]
#&gt; |--leaf &quot;3&quot;
#&gt; `--[dendrogram w/ 2 branches and 2 members at h = 1]
#&gt; |--leaf &quot;2&quot;
#&gt; `--leaf &quot;1&quot;
#&gt; etc...</code></pre>
<p>The function <code>match_order_by_labels</code> makes sure that the
order in the leaves corresponds to the same labels in both trees.</p>
</div>
<div id="dend_diff" class="section level3">
<h3>dend_diff</h3>
<p>The <code>dend_diff</code> function plots two trees side by side,
highlighting edges unique to each tree in red, it relies on the
<code>distinct_edges</code> function.</p>
<p>For example:</p>
<div class="sourceCode" id="cb113"><pre class="sourceCode r"><code class="sourceCode r"><span id="cb113-1"><a href="#cb113-1" tabindex="-1"></a><span class="co"># example 1</span></span>
<span id="cb113-2"><a href="#cb113-2" tabindex="-1"></a>x <span class="ot">&lt;-</span> <span class="dv">1</span><span class="sc">:</span><span class="dv">5</span> <span class="sc">%&gt;%</span> dist <span class="sc">%&gt;%</span> hclust <span class="sc">%&gt;%</span> as.dendrogram</span>
<span id="cb113-3"><a href="#cb113-3" tabindex="-1"></a>y <span class="ot">&lt;-</span> <span class="fu">set</span>(x, <span class="st">&quot;labels&quot;</span>, <span class="dv">5</span><span class="sc">:</span><span class="dv">1</span>)</span>
<span id="cb113-4"><a href="#cb113-4" tabindex="-1"></a></span>
<span id="cb113-5"><a href="#cb113-5" tabindex="-1"></a><span class="co"># example 2</span></span>
<span id="cb113-6"><a href="#cb113-6" tabindex="-1"></a>dend1 <span class="ot">&lt;-</span> <span class="dv">1</span><span class="sc">:</span><span class="dv">10</span> <span class="sc">%&gt;%</span> dist <span class="sc">%&gt;%</span> hclust <span class="sc">%&gt;%</span> as.dendrogram</span>
<span id="cb113-7"><a href="#cb113-7" tabindex="-1"></a>dend2 <span class="ot">&lt;-</span> dend1 <span class="sc">%&gt;%</span> <span class="fu">set</span>(<span class="st">&quot;labels&quot;</span>, <span class="fu">c</span>(<span class="dv">1</span>,<span class="dv">3</span>,<span class="dv">2</span>,<span class="dv">4</span>, <span class="dv">5</span><span class="sc">:</span><span class="dv">10</span>) )</span>
<span id="cb113-8"><a href="#cb113-8" tabindex="-1"></a><span class="fu">dend_diff</span>(dend1, dend2)</span></code></pre></div>
<p><img role="img" 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" /><!-- --></p>
<p>See the <code>highlight_distinct_edges</code> function for more
control over how to create the distinction (color, line width, line
type).</p>
</div>
<div id="tanglegram" class="section level3">
<h3>tanglegram</h3>
<p>A tanglegram plot gives two dendrogram (with the same set of labels),
one facing the other, and having their labels connected by lines.
Tanglegram can be used for visually comparing two methods of
Hierarchical clustering, and are sometimes used in biology when
comparing two phylogenetic trees.</p>
<p>Here is an example of creating a tanglegram using dendextend:</p>
<div class="sourceCode" id="cb114"><pre class="sourceCode r"><code class="sourceCode r"><span id="cb114-1"><a href="#cb114-1" tabindex="-1"></a><span class="fu">tanglegram</span>(dends_15_51)</span></code></pre></div>
<p><img role="img" 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" /><!-- --></p>
<div class="sourceCode" id="cb115"><pre class="sourceCode r"><code class="sourceCode r"><span id="cb115-1"><a href="#cb115-1" tabindex="-1"></a><span class="co"># Same as using:</span></span>
<span id="cb115-2"><a href="#cb115-2" tabindex="-1"></a><span class="co"># plot(dends_15_51) # since there is a plot method for dendlist</span></span>
<span id="cb115-3"><a href="#cb115-3" tabindex="-1"></a><span class="co"># and also: </span></span>
<span id="cb115-4"><a href="#cb115-4" tabindex="-1"></a><span class="co"># tanglegram(dend15, dend51)</span></span></code></pre></div>
<p>Notice how “unique” nodes are highlighted with dashed lines (i.e.:
nodes which contains a combination of labels/items, which are not
present in the other tree). This can be turned off using
<code>highlight_distinct_edges = FALSE</code>. Also notice how the
connecting lines are colored to highlight two sub-trees which are
present in both dendrograms. This can be turned off by setting
<code>common_subtrees_color_lines = FALSE</code>. We can also color the
branches of the trees to show the two common sub-trees using
<code>common_subtrees_color_branches = TRUE</code>:</p>
<div class="sourceCode" id="cb116"><pre class="sourceCode r"><code class="sourceCode r"><span id="cb116-1"><a href="#cb116-1" tabindex="-1"></a><span class="fu">tanglegram</span>(dends_15_51, <span class="at">common_subtrees_color_branches =</span> <span class="cn">TRUE</span>)</span></code></pre></div>
<p><img role="img" 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" /><!-- --></p>
<p>We may wish to improve the layout of the trees. For this we have the
<code>entanglement</code>, to measure the quality of the alignment of
the two trees in the tanglegram layout, and the <code>untangle</code>
function, for improving it.</p>
<div class="sourceCode" id="cb117"><pre class="sourceCode r"><code class="sourceCode r"><span id="cb117-1"><a href="#cb117-1" tabindex="-1"></a>dends_15_51 <span class="sc">%&gt;%</span> entanglement <span class="co"># lower is better</span></span></code></pre></div>
<pre><code>#&gt; [1] 0.9167078</code></pre>
<div class="sourceCode" id="cb119"><pre class="sourceCode r"><code class="sourceCode r"><span id="cb119-1"><a href="#cb119-1" tabindex="-1"></a><span class="co"># dends_15_51 %&gt;% untangle(method = &quot;DendSer&quot;) %&gt;% entanglement # lower is better</span></span>
<span id="cb119-2"><a href="#cb119-2" tabindex="-1"></a>dends_15_51 <span class="sc">%&gt;%</span> <span class="fu">untangle</span>(<span class="at">method =</span> <span class="st">&quot;step1side&quot;</span>) <span class="sc">%&gt;%</span> entanglement <span class="co"># lower is better</span></span></code></pre></div>
<pre><code>#&gt; [1] 0</code></pre>
<p>Notice that just because we can get two trees to have horizontal
connecting lines, it doesn’t mean these trees are identical (or even
very similar topologically):</p>
<div class="sourceCode" id="cb121"><pre class="sourceCode r"><code class="sourceCode r"><span id="cb121-1"><a href="#cb121-1" tabindex="-1"></a>dends_15_51 <span class="sc">%&gt;%</span> <span class="fu">untangle</span>(<span class="at">method =</span> <span class="st">&quot;step1side&quot;</span>) <span class="sc">%&gt;%</span> </span>
<span id="cb121-2"><a href="#cb121-2" tabindex="-1"></a> <span class="fu">tanglegram</span>(<span class="at">common_subtrees_color_branches =</span> <span class="cn">TRUE</span>)</span></code></pre></div>
<p><img role="img" src="data:image/png;base64,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" /><!-- --></p>
<p>Entanglement is measured by giving the left tree’s labels the values
of 1 till tree size, and than match these numbers with the right tree.
Now, entanglement is the L norm distance between these two vectors. That
is, we take the sum of the absolute difference (each one in the power of
L). e.g: <code>sum(abs(x-y)**L)</code>. And this is divided by the
“worst case” entanglement level (e.g: when the right tree is the
complete reverse of the left tree).</p>
<p>L tells us which penalty level we are at (L0, L1, L2, partial L’s
etc). L&gt;1 means that we give a big penalty for sharp angles. While
L-&gt;0 means that any time something is not a straight horizontal line,
it gets a large penalty If L=0.1 it means that we much prefer straight
lines over non straight lines</p>
<p>Finding an optimal rotation for the tanglegram of two dendrogram is a
hard problem. This problem is also harder for larger trees.</p>
<p>Let’s see how well some untangle methods can do.</p>
<p>Without doing anything:</p>
<div class="sourceCode" id="cb122"><pre class="sourceCode r"><code class="sourceCode r"><span id="cb122-1"><a href="#cb122-1" tabindex="-1"></a>x <span class="ot">&lt;-</span> dends_15_51 </span>
<span id="cb122-2"><a href="#cb122-2" tabindex="-1"></a>x <span class="sc">%&gt;%</span> <span class="fu">plot</span>(<span class="at">main =</span> <span class="fu">paste</span>(<span class="st">&quot;entanglement =&quot;</span>, <span class="fu">round</span>(<span class="fu">entanglement</span>(x), <span class="dv">2</span>)))</span></code></pre></div>
<p><img role="img" src="data:image/png;base64,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" /><!-- --></p>
<p>Using DendSer:</p>
<div class="sourceCode" id="cb123"><pre class="sourceCode r"><code class="sourceCode r"><span id="cb123-1"><a href="#cb123-1" tabindex="-1"></a><span class="co"># x &lt;- dends_15_51 %&gt;% untangle(method = &quot;DendSer&quot;) </span></span>
<span id="cb123-2"><a href="#cb123-2" tabindex="-1"></a>x <span class="ot">&lt;-</span> dends_15_51 <span class="sc">%&gt;%</span> <span class="fu">untangle</span>(<span class="at">method =</span> <span class="st">&quot;ladderize&quot;</span>) </span>
<span id="cb123-3"><a href="#cb123-3" tabindex="-1"></a>x <span class="sc">%&gt;%</span> <span class="fu">plot</span>(<span class="at">main =</span> <span class="fu">paste</span>(<span class="st">&quot;entanglement =&quot;</span>, <span class="fu">round</span>(<span class="fu">entanglement</span>(x), <span class="dv">2</span>)))</span></code></pre></div>
<p><img role="img" src="data:image/png;base64,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" /><!-- --></p>
<p>One solution for improving the tanglegram would be to randomly search
the rotated tree space for a better solution. Here is how to use a
random search:</p>
<div class="sourceCode" id="cb124"><pre class="sourceCode r"><code class="sourceCode r"><span id="cb124-1"><a href="#cb124-1" tabindex="-1"></a><span class="fu">set.seed</span>(<span class="dv">3958</span>)</span>
<span id="cb124-2"><a href="#cb124-2" tabindex="-1"></a>x <span class="ot">&lt;-</span> dends_15_51 <span class="sc">%&gt;%</span> <span class="fu">untangle</span>(<span class="at">method =</span> <span class="st">&quot;random&quot;</span>, <span class="at">R =</span> <span class="dv">10</span>) </span>
<span id="cb124-3"><a href="#cb124-3" tabindex="-1"></a>x <span class="sc">%&gt;%</span> <span class="fu">plot</span>(<span class="at">main =</span> <span class="fu">paste</span>(<span class="st">&quot;entanglement =&quot;</span>, <span class="fu">round</span>(<span class="fu">entanglement</span>(x), <span class="dv">2</span>)))</span></code></pre></div>
<p><img role="img" src="data:image/png;base64,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" /><!-- --></p>
<p>We can see we already got something better. An advantage of the
random search is the ability to create many many trees and compare them
to find the best pair.</p>
<p>Let’s use a greedy forward step wise rotation of the two trees (first
the left, then the right, and so on), to see if we can find a better
solution for comparing the two trees. Notice that this may take some
time to run (the larger the tree, the longer it would take), but we can
limit the search for smaller k’s, and see what improvement that can
bring us using step2side (slowest):</p>
<div class="sourceCode" id="cb125"><pre class="sourceCode r"><code class="sourceCode r"><span id="cb125-1"><a href="#cb125-1" tabindex="-1"></a>x <span class="ot">&lt;-</span> dends_15_51 <span class="sc">%&gt;%</span> <span class="fu">untangle</span>(<span class="at">method =</span> <span class="st">&quot;step2side&quot;</span>) </span>
<span id="cb125-2"><a href="#cb125-2" tabindex="-1"></a>x <span class="sc">%&gt;%</span> <span class="fu">plot</span>(<span class="at">main =</span> <span class="fu">paste</span>(<span class="st">&quot;entanglement =&quot;</span>, <span class="fu">round</span>(<span class="fu">entanglement</span>(x), <span class="dv">2</span>)))</span></code></pre></div>
<p><img role="img" src="data:image/png;base64,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" /><!-- --></p>
<p>We got perfect entanglement (0).</p>
</div>
<div id="correlation-measures" class="section level3">
<h3>Correlation measures</h3>
<p>We shall use the following for the upcoming examples:</p>
<div class="sourceCode" id="cb126"><pre class="sourceCode r"><code class="sourceCode r"><span id="cb126-1"><a href="#cb126-1" tabindex="-1"></a><span class="fu">set.seed</span>(<span class="dv">23235</span>)</span>
<span id="cb126-2"><a href="#cb126-2" tabindex="-1"></a>ss <span class="ot">&lt;-</span> <span class="fu">sample</span>(<span class="dv">1</span><span class="sc">:</span><span class="dv">150</span>, <span class="dv">10</span> )</span>
<span id="cb126-3"><a href="#cb126-3" tabindex="-1"></a>dend1 <span class="ot">&lt;-</span> iris[ss,<span class="sc">-</span><span class="dv">5</span>] <span class="sc">%&gt;%</span> dist <span class="sc">%&gt;%</span> <span class="fu">hclust</span>(<span class="st">&quot;com&quot;</span>) <span class="sc">%&gt;%</span> as.dendrogram</span>
<span id="cb126-4"><a href="#cb126-4" tabindex="-1"></a>dend2 <span class="ot">&lt;-</span> iris[ss,<span class="sc">-</span><span class="dv">5</span>] <span class="sc">%&gt;%</span> dist <span class="sc">%&gt;%</span> <span class="fu">hclust</span>(<span class="st">&quot;single&quot;</span>) <span class="sc">%&gt;%</span> as.dendrogram</span>
<span id="cb126-5"><a href="#cb126-5" tabindex="-1"></a>dend3 <span class="ot">&lt;-</span> iris[ss,<span class="sc">-</span><span class="dv">5</span>] <span class="sc">%&gt;%</span> dist <span class="sc">%&gt;%</span> <span class="fu">hclust</span>(<span class="st">&quot;ave&quot;</span>) <span class="sc">%&gt;%</span> as.dendrogram</span>
<span id="cb126-6"><a href="#cb126-6" tabindex="-1"></a>dend4 <span class="ot">&lt;-</span> iris[ss,<span class="sc">-</span><span class="dv">5</span>] <span class="sc">%&gt;%</span> dist <span class="sc">%&gt;%</span> <span class="fu">hclust</span>(<span class="st">&quot;centroid&quot;</span>) <span class="sc">%&gt;%</span> as.dendrogram</span>
<span id="cb126-7"><a href="#cb126-7" tabindex="-1"></a></span>
<span id="cb126-8"><a href="#cb126-8" tabindex="-1"></a>dend1234 <span class="ot">&lt;-</span> <span class="fu">dendlist</span>(<span class="st">&quot;Complete&quot;</span> <span class="ot">=</span> dend1, <span class="st">&quot;Single&quot;</span> <span class="ot">=</span> dend2, <span class="st">&quot;Average&quot;</span> <span class="ot">=</span> dend3, <span class="st">&quot;Centroid&quot;</span> <span class="ot">=</span> dend4)</span>
<span id="cb126-9"><a href="#cb126-9" tabindex="-1"></a></span>
<span id="cb126-10"><a href="#cb126-10" tabindex="-1"></a><span class="fu">par</span>(<span class="at">mfrow =</span> <span class="fu">c</span>(<span class="dv">2</span>,<span class="dv">2</span>))</span>
<span id="cb126-11"><a href="#cb126-11" tabindex="-1"></a><span class="fu">plot</span>(dend1, <span class="at">main =</span> <span class="st">&quot;Complete&quot;</span>)</span>
<span id="cb126-12"><a href="#cb126-12" tabindex="-1"></a><span class="fu">plot</span>(dend2, <span class="at">main =</span> <span class="st">&quot;Single&quot;</span>)</span>
<span id="cb126-13"><a href="#cb126-13" tabindex="-1"></a><span class="fu">plot</span>(dend3, <span class="at">main =</span> <span class="st">&quot;Average&quot;</span>)</span>
<span id="cb126-14"><a href="#cb126-14" tabindex="-1"></a><span class="fu">plot</span>(dend4, <span class="at">main =</span> <span class="st">&quot;Centroid&quot;</span>)</span></code></pre></div>
<p><img role="img" src="data:image/png;base64,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" /><!-- --></p>
<div id="global-comparison-of-two-or-more-dendrograms" class="section level4">
<h4>Global Comparison of two (or more) dendrograms</h4>
<p>The <code>all.equal.dendrogram</code> function makes a global
comparison of two or more dendrograms trees.</p>
<div class="sourceCode" id="cb127"><pre class="sourceCode r"><code class="sourceCode r"><span id="cb127-1"><a href="#cb127-1" tabindex="-1"></a><span class="fu">all.equal</span>(dend1, dend1)</span></code></pre></div>
<pre><code>#&gt; [1] TRUE</code></pre>
<div class="sourceCode" id="cb129"><pre class="sourceCode r"><code class="sourceCode r"><span id="cb129-1"><a href="#cb129-1" tabindex="-1"></a><span class="fu">all.equal</span>(dend1, dend2)</span></code></pre></div>
<pre><code>#&gt; [1] &quot;Difference in branch heights - Mean relative difference: 0.4932164&quot;</code></pre>
<div class="sourceCode" id="cb131"><pre class="sourceCode r"><code class="sourceCode r"><span id="cb131-1"><a href="#cb131-1" tabindex="-1"></a><span class="fu">all.equal</span>(dend1, dend2, <span class="at">use.edge.length =</span> <span class="cn">FALSE</span>)</span></code></pre></div>
<pre><code>#&gt; [1] &quot;Dendrograms contain diffreent edges (i.e.: topology). Unique edges in target: | 2, 7, 13 | Unique edges in current: 7, 9, 11&quot;</code></pre>
<div class="sourceCode" id="cb133"><pre class="sourceCode r"><code class="sourceCode r"><span id="cb133-1"><a href="#cb133-1" tabindex="-1"></a><span class="fu">all.equal</span>(dend1, dend2, <span class="at">use.edge.length =</span> <span class="cn">FALSE</span>, <span class="at">use.topology =</span> <span class="cn">FALSE</span>)</span></code></pre></div>
<pre><code>#&gt; [1] TRUE</code></pre>
<div class="sourceCode" id="cb135"><pre class="sourceCode r"><code class="sourceCode r"><span id="cb135-1"><a href="#cb135-1" tabindex="-1"></a><span class="fu">all.equal</span>(dend2, dend4, <span class="at">use.edge.length =</span> <span class="cn">TRUE</span>)</span></code></pre></div>
<pre><code>#&gt; [1] &quot;Difference in branch heights - Mean relative difference: 0.1969642&quot;</code></pre>
<div class="sourceCode" id="cb137"><pre class="sourceCode r"><code class="sourceCode r"><span id="cb137-1"><a href="#cb137-1" tabindex="-1"></a><span class="fu">all.equal</span>(dend2, dend4, <span class="at">use.edge.length =</span> <span class="cn">FALSE</span>)</span></code></pre></div>
<pre><code>#&gt; [1] &quot;Dendrograms contain diffreent edges (i.e.: topology). Unique edges in target: | 11 | Unique edges in current: 13&quot;</code></pre>
<div class="sourceCode" id="cb139"><pre class="sourceCode r"><code class="sourceCode r"><span id="cb139-1"><a href="#cb139-1" tabindex="-1"></a><span class="fu">all.equal</span>(<span class="fu">dendlist</span>(dend1, dend1, dend1))</span></code></pre></div>
<pre><code>#&gt; [1] TRUE</code></pre>
<div class="sourceCode" id="cb141"><pre class="sourceCode r"><code class="sourceCode r"><span id="cb141-1"><a href="#cb141-1" tabindex="-1"></a><span class="fu">all.equal</span>(dend1234)</span></code></pre></div>
<pre><code>#&gt; 1==2
#&gt; &quot;Difference in branch heights - Mean relative difference: 0.4932164&quot;
#&gt; 1==3
#&gt; &quot;Difference in branch heights - Mean relative difference: 0.2767035&quot;
#&gt; 1==4
#&gt; &quot;Difference in branch heights - Mean relative difference: 0.4081231&quot;
#&gt; 2==3
#&gt; &quot;Difference in branch heights - Mean relative difference: 0.4545673&quot;
#&gt; 2==4
#&gt; &quot;Difference in branch heights - Mean relative difference: 0.1969642&quot;
#&gt; 3==4
#&gt; &quot;Difference in branch heights - Mean relative difference: 0.1970749&quot;</code></pre>
<div class="sourceCode" id="cb143"><pre class="sourceCode r"><code class="sourceCode r"><span id="cb143-1"><a href="#cb143-1" tabindex="-1"></a><span class="fu">all.equal</span>(dend1234, <span class="at">use.edge.length =</span> <span class="cn">FALSE</span>)</span></code></pre></div>
<pre><code>#&gt; 1==2
#&gt; &quot;Dendrograms contain diffreent edges (i.e.: topology). Unique edges in target: | 2, 7, 13 | Unique edges in current: 7, 9, 11&quot;
#&gt; 1==3
#&gt; &quot;Dendrograms contain diffreent edges (i.e.: topology). Unique edges in target: | 7 | Unique edges in current: 7&quot;
#&gt; 1==4
#&gt; &quot;Dendrograms contain diffreent edges (i.e.: topology). Unique edges in target: | 2, 7 | Unique edges in current: 7, 9&quot;
#&gt; 2==3
#&gt; &quot;Dendrograms contain diffreent edges (i.e.: topology). Unique edges in target: | 9, 11 | Unique edges in current: 8, 15&quot;
#&gt; 2==4
#&gt; &quot;Dendrograms contain diffreent edges (i.e.: topology). Unique edges in target: | 11 | Unique edges in current: 13&quot;
#&gt; 3==4
#&gt; &quot;Dendrograms contain diffreent edges (i.e.: topology). Unique edges in target: | 15 | Unique edges in current: 9&quot;</code></pre>
</div>
<div id="distance-matrix-using-dist.dendlist" class="section level4">
<h4>Distance matrix using dist.dendlist</h4>
<p>The <code>dist.dendlist</code> function computes the Robinson-Foulds
distance (also known as symmetric difference) between two dendrograms.
This is the sum of edges in both trees with labels that exist in only
one of the two trees (i.e.: the length of
<code>distinct_edges</code>).</p>
<div class="sourceCode" id="cb145"><pre class="sourceCode r"><code class="sourceCode r"><span id="cb145-1"><a href="#cb145-1" tabindex="-1"></a>x <span class="ot">&lt;-</span> <span class="dv">1</span><span class="sc">:</span><span class="dv">5</span> <span class="sc">%&gt;%</span> dist <span class="sc">%&gt;%</span> hclust <span class="sc">%&gt;%</span> as.dendrogram</span>
<span id="cb145-2"><a href="#cb145-2" tabindex="-1"></a>y <span class="ot">&lt;-</span> <span class="fu">set</span>(x, <span class="st">&quot;labels&quot;</span>, <span class="dv">5</span><span class="sc">:</span><span class="dv">1</span>)</span>
<span id="cb145-3"><a href="#cb145-3" tabindex="-1"></a></span>
<span id="cb145-4"><a href="#cb145-4" tabindex="-1"></a><span class="fu">dist.dendlist</span>(<span class="fu">dendlist</span>(<span class="at">x1 =</span> x,<span class="at">x2 =</span> x,<span class="at">y1 =</span> y))</span></code></pre></div>
<pre><code>#&gt; x1 x2
#&gt; x2 0
#&gt; y1 4 4</code></pre>
<div class="sourceCode" id="cb147"><pre class="sourceCode r"><code class="sourceCode r"><span id="cb147-1"><a href="#cb147-1" tabindex="-1"></a><span class="fu">dend_diff</span>(x,y)</span></code></pre></div>
<p><img role="img" src="data:image/png;base64,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" /><!-- --></p>
<div class="sourceCode" id="cb148"><pre class="sourceCode r"><code class="sourceCode r"><span id="cb148-1"><a href="#cb148-1" tabindex="-1"></a><span class="fu">dist.dendlist</span>(dend1234)</span></code></pre></div>
<pre><code>#&gt; Complete Single Average
#&gt; Single 6
#&gt; Average 2 4
#&gt; Centroid 4 2 2</code></pre>
<p>This function might implement other topological distances in the
future.</p>
</div>
<div id="correlation-matrix-using-cor.dendlist" class="section level4">
<h4>Correlation matrix using cor.dendlist</h4>
<p>Both Baker’s Gamma and cophenetic correlation (Which will be
introduced shortly), can be calculated to create a correlation matrix
using the <code>cor.dendlist</code> function (the default method is
cophenetic correlation):</p>
<div class="sourceCode" id="cb150"><pre class="sourceCode r"><code class="sourceCode r"><span id="cb150-1"><a href="#cb150-1" tabindex="-1"></a><span class="fu">cor.dendlist</span>(dend1234)</span></code></pre></div>
<pre><code>#&gt; Complete Single Average Centroid
#&gt; Complete 1.0000000 0.4272001 0.5635291 0.4466374
#&gt; Single 0.4272001 1.0000000 0.9508998 0.9910913
#&gt; Average 0.5635291 0.9508998 1.0000000 0.9556376
#&gt; Centroid 0.4466374 0.9910913 0.9556376 1.0000000</code></pre>
<p>The corrplot library offers a nice visualization:</p>
<div class="sourceCode" id="cb152"><pre class="sourceCode r"><code class="sourceCode r"><span id="cb152-1"><a href="#cb152-1" tabindex="-1"></a><span class="fu">library</span>(corrplot)</span>
<span id="cb152-2"><a href="#cb152-2" tabindex="-1"></a><span class="fu">corrplot</span>(<span class="fu">cor.dendlist</span>(dend1234), <span class="st">&quot;pie&quot;</span>, <span class="st">&quot;lower&quot;</span>)</span></code></pre></div>
<p><img role="img" src="data:image/png;base64,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" /><!-- --></p>
<p>Which easily tells us that single, average and centroid give similar
results, while complete is somewhat different.</p>
<div class="sourceCode" id="cb153"><pre class="sourceCode r"><code class="sourceCode r"><span id="cb153-1"><a href="#cb153-1" tabindex="-1"></a><span class="co"># same subtrees, so there is no need to color the branches</span></span>
<span id="cb153-2"><a href="#cb153-2" tabindex="-1"></a>dend1234 <span class="sc">%&gt;%</span> <span class="fu">tanglegram</span>(<span class="at">which =</span> <span class="fu">c</span>(<span class="dv">2</span>,<span class="dv">3</span>)) </span></code></pre></div>
<p><img role="img" src="data:image/png;base64,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" /><!-- --></p>
<div class="sourceCode" id="cb154"><pre class="sourceCode r"><code class="sourceCode r"><span id="cb154-1"><a href="#cb154-1" tabindex="-1"></a><span class="co"># Here the branches colors are very helpful:</span></span>
<span id="cb154-2"><a href="#cb154-2" tabindex="-1"></a>dend1234 <span class="sc">%&gt;%</span> <span class="fu">tanglegram</span>(<span class="at">which =</span> <span class="fu">c</span>(<span class="dv">1</span>,<span class="dv">2</span>), </span>
<span id="cb154-3"><a href="#cb154-3" tabindex="-1"></a> <span class="at">common_subtrees_color_branches =</span> <span class="cn">TRUE</span>)</span></code></pre></div>
<p><img role="img" 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" /><!-- --></p>
</div>
<div id="bakers-gamma-index" class="section level4">
<h4>Baker’s Gamma Index</h4>
<p>Baker’s Gamma Index (see baker’s paper from 1974) is a measure of
association (similarity) between two trees of Hierarchical clustering
(dendrograms). It is defined as the rank correlation between the stages
at which pairs of objects combine in each of the two trees.</p>
<p>Or more detailed: It is calculated by taking two items, and see what
is the highest possible level of k (number of cluster groups created
when cutting the tree) for which the two item still belongs to the same
tree. That k is returned, and the same is done for these two items for
the second tree. There are n over 2 combinations of such pairs of items
from the items in the tree, and all of these numbers are calculated for
each of the two trees. Then, these two sets of numbers (a set for the
items in each tree) are paired according to the pairs of items compared,
and a Spearman correlation is calculated.</p>
<p>The value can range between -1 to 1. With near 0 values meaning that
the two trees are not statistically similar. For exact p-value one
should use a permutation test. One such option will be to permute over
the labels of one tree many times, calculating the distribution under
the null hypothesis (keeping the trees topologies constant).</p>
<p>Notice that this measure is not affected by the height of a branch
but only of its relative position compared with other branches.</p>
<div class="sourceCode" id="cb155"><pre class="sourceCode r"><code class="sourceCode r"><span id="cb155-1"><a href="#cb155-1" tabindex="-1"></a><span class="fu">cor_bakers_gamma</span>(dend15, dend51)</span></code></pre></div>
<pre><code>#&gt; [1] 0.2751938</code></pre>
<p>Even that we can reach perfect entanglement, Baker’s gamma shows us
that the tree’s topology is not identical. As opposed with the
correlation of a tree with itself:</p>
<div class="sourceCode" id="cb157"><pre class="sourceCode r"><code class="sourceCode r"><span id="cb157-1"><a href="#cb157-1" tabindex="-1"></a><span class="fu">cor_bakers_gamma</span>(dend15, dend15)</span></code></pre></div>
<pre><code>#&gt; [1] 1</code></pre>
<p>Since the observations creating the Baker’s Gamma Index of such a
measure are correlated, we need to perform a permutation test for the
calculation of the statistical significance of the index. Let’s look at
the distribution of Baker’s Gamma Index under the null hypothesis
(assuming fixed tree topologies). This will be different for different
tree structures and sizes. Here are the results when the compared tree
is itself (after shuffling its own labels), and when comparing tree 1 to
the shuffled tree 2:</p>
<div class="sourceCode" id="cb159"><pre class="sourceCode r"><code class="sourceCode r"><span id="cb159-1"><a href="#cb159-1" tabindex="-1"></a><span class="fu">set.seed</span>(<span class="dv">23235</span>)</span>
<span id="cb159-2"><a href="#cb159-2" tabindex="-1"></a>the_cor <span class="ot">&lt;-</span> <span class="fu">cor_bakers_gamma</span>(dend15, dend15)</span>
<span id="cb159-3"><a href="#cb159-3" tabindex="-1"></a>the_cor2 <span class="ot">&lt;-</span> <span class="fu">cor_bakers_gamma</span>(dend15, dend51)</span>
<span id="cb159-4"><a href="#cb159-4" tabindex="-1"></a>the_cor</span></code></pre></div>
<pre><code>#&gt; [1] 1</code></pre>
<div class="sourceCode" id="cb161"><pre class="sourceCode r"><code class="sourceCode r"><span id="cb161-1"><a href="#cb161-1" tabindex="-1"></a>the_cor2</span></code></pre></div>
<pre><code>#&gt; [1] 0.2751938</code></pre>
<div class="sourceCode" id="cb163"><pre class="sourceCode r"><code class="sourceCode r"><span id="cb163-1"><a href="#cb163-1" tabindex="-1"></a>R <span class="ot">&lt;-</span> <span class="dv">100</span></span>
<span id="cb163-2"><a href="#cb163-2" tabindex="-1"></a>cor_bakers_gamma_results <span class="ot">&lt;-</span> <span class="fu">numeric</span>(R)</span>
<span id="cb163-3"><a href="#cb163-3" tabindex="-1"></a>dend_mixed <span class="ot">&lt;-</span> dend15</span>
<span id="cb163-4"><a href="#cb163-4" tabindex="-1"></a><span class="cf">for</span>(i <span class="cf">in</span> <span class="dv">1</span><span class="sc">:</span>R) {</span>
<span id="cb163-5"><a href="#cb163-5" tabindex="-1"></a> dend_mixed <span class="ot">&lt;-</span> <span class="fu">sample.dendrogram</span>(dend_mixed, <span class="at">replace =</span> <span class="cn">FALSE</span>)</span>
<span id="cb163-6"><a href="#cb163-6" tabindex="-1"></a> cor_bakers_gamma_results[i] <span class="ot">&lt;-</span> <span class="fu">cor_bakers_gamma</span>(dend15, dend_mixed)</span>
<span id="cb163-7"><a href="#cb163-7" tabindex="-1"></a>}</span>
<span id="cb163-8"><a href="#cb163-8" tabindex="-1"></a><span class="fu">plot</span>(<span class="fu">density</span>(cor_bakers_gamma_results),</span>
<span id="cb163-9"><a href="#cb163-9" tabindex="-1"></a> <span class="at">main =</span> <span class="st">&quot;Baker&#39;s gamma distribution under H0&quot;</span>,</span>
<span id="cb163-10"><a href="#cb163-10" tabindex="-1"></a> <span class="at">xlim =</span> <span class="fu">c</span>(<span class="sc">-</span><span class="dv">1</span>,<span class="dv">1</span>))</span>
<span id="cb163-11"><a href="#cb163-11" tabindex="-1"></a><span class="fu">abline</span>(<span class="at">v =</span> <span class="dv">0</span>, <span class="at">lty =</span> <span class="dv">2</span>)</span>
<span id="cb163-12"><a href="#cb163-12" tabindex="-1"></a><span class="fu">abline</span>(<span class="at">v =</span> the_cor, <span class="at">lty =</span> <span class="dv">2</span>, <span class="at">col =</span> <span class="dv">2</span>)</span>
<span id="cb163-13"><a href="#cb163-13" tabindex="-1"></a><span class="fu">abline</span>(<span class="at">v =</span> the_cor2, <span class="at">lty =</span> <span class="dv">2</span>, <span class="at">col =</span> <span class="dv">4</span>)</span>
<span id="cb163-14"><a href="#cb163-14" tabindex="-1"></a><span class="fu">legend</span>(<span class="st">&quot;topleft&quot;</span>, <span class="at">legend =</span> <span class="fu">c</span>(<span class="st">&quot;cor&quot;</span>, <span class="st">&quot;cor2&quot;</span>), <span class="at">fill =</span> <span class="fu">c</span>(<span class="dv">2</span>,<span class="dv">4</span>))</span>
<span id="cb163-15"><a href="#cb163-15" tabindex="-1"></a><span class="fu">round</span>(<span class="fu">sum</span>(the_cor2 <span class="sc">&lt;</span> cor_bakers_gamma_results)<span class="sc">/</span> R, <span class="dv">4</span>)</span></code></pre></div>
<pre><code>#&gt; [1] 0.17</code></pre>
<div class="sourceCode" id="cb165"><pre class="sourceCode r"><code class="sourceCode r"><span id="cb165-1"><a href="#cb165-1" tabindex="-1"></a><span class="fu">title</span>(<span class="at">sub =</span> <span class="fu">paste</span>(<span class="st">&quot;One sided p-value:&quot;</span>,</span>
<span id="cb165-2"><a href="#cb165-2" tabindex="-1"></a> <span class="st">&quot;cor =&quot;</span>, <span class="fu">round</span>(<span class="fu">sum</span>(the_cor <span class="sc">&lt;</span> cor_bakers_gamma_results)<span class="sc">/</span> R, <span class="dv">4</span>),</span>
<span id="cb165-3"><a href="#cb165-3" tabindex="-1"></a> <span class="st">&quot; ; cor2 =&quot;</span>, <span class="fu">round</span>(<span class="fu">sum</span>(the_cor2 <span class="sc">&lt;</span> cor_bakers_gamma_results)<span class="sc">/</span> R, <span class="dv">4</span>)</span>
<span id="cb165-4"><a href="#cb165-4" tabindex="-1"></a> ))</span></code></pre></div>
<p><img role="img" src="data:image/png;base64,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" /><!-- --></p>
<p>We can see that we do not have enough evidence that dend15 and dend51
are significantly “similar” (i.e.: with a correlation larger than
0).</p>
<p>We can also build a bootstrap confidence interval, using
<code>sample.dendrogram</code>, for the correlation. This function can
be very slow for larger trees, so make sure you use if carefully:</p>
<div class="sourceCode" id="cb166"><pre class="sourceCode r"><code class="sourceCode r"><span id="cb166-1"><a href="#cb166-1" tabindex="-1"></a>dend1 <span class="ot">&lt;-</span> dend15</span>
<span id="cb166-2"><a href="#cb166-2" tabindex="-1"></a>dend2 <span class="ot">&lt;-</span> dend51</span>
<span id="cb166-3"><a href="#cb166-3" tabindex="-1"></a></span>
<span id="cb166-4"><a href="#cb166-4" tabindex="-1"></a><span class="fu">set.seed</span>(<span class="dv">23801</span>)</span>
<span id="cb166-5"><a href="#cb166-5" tabindex="-1"></a></span>
<span id="cb166-6"><a href="#cb166-6" tabindex="-1"></a>R <span class="ot">&lt;-</span> <span class="dv">100</span></span>
<span id="cb166-7"><a href="#cb166-7" tabindex="-1"></a>dend1_labels <span class="ot">&lt;-</span> <span class="fu">labels</span>(dend1)</span>
<span id="cb166-8"><a href="#cb166-8" tabindex="-1"></a>dend2_labels <span class="ot">&lt;-</span> <span class="fu">labels</span>(dend2)</span>
<span id="cb166-9"><a href="#cb166-9" tabindex="-1"></a>cor_bakers_gamma_results <span class="ot">&lt;-</span> <span class="fu">numeric</span>(R)</span>
<span id="cb166-10"><a href="#cb166-10" tabindex="-1"></a><span class="cf">for</span>(i <span class="cf">in</span> <span class="dv">1</span><span class="sc">:</span>R) {</span>
<span id="cb166-11"><a href="#cb166-11" tabindex="-1"></a> sampled_labels <span class="ot">&lt;-</span> <span class="fu">sample</span>(dend1_labels, <span class="at">replace =</span> <span class="cn">TRUE</span>)</span>
<span id="cb166-12"><a href="#cb166-12" tabindex="-1"></a> <span class="co"># members needs to be fixed since it will be later used in nleaves</span></span>
<span id="cb166-13"><a href="#cb166-13" tabindex="-1"></a> dend_mixed1 <span class="ot">&lt;-</span> <span class="fu">sample.dendrogram</span>(dend1, </span>
<span id="cb166-14"><a href="#cb166-14" tabindex="-1"></a> <span class="at">dend_labels=</span>dend1_labels,</span>
<span id="cb166-15"><a href="#cb166-15" tabindex="-1"></a> <span class="at">fix_members=</span><span class="cn">TRUE</span>,<span class="at">fix_order=</span><span class="cn">TRUE</span>,<span class="at">fix_midpoint=</span><span class="cn">FALSE</span>,</span>
<span id="cb166-16"><a href="#cb166-16" tabindex="-1"></a> <span class="at">replace =</span> <span class="cn">TRUE</span>, <span class="at">sampled_labels=</span>sampled_labels</span>
<span id="cb166-17"><a href="#cb166-17" tabindex="-1"></a> )</span>
<span id="cb166-18"><a href="#cb166-18" tabindex="-1"></a> dend_mixed2 <span class="ot">&lt;-</span> <span class="fu">sample.dendrogram</span>(dend2, <span class="at">dend_labels=</span>dend2_labels,</span>
<span id="cb166-19"><a href="#cb166-19" tabindex="-1"></a> <span class="at">fix_members=</span><span class="cn">TRUE</span>,<span class="at">fix_order=</span><span class="cn">TRUE</span>,<span class="at">fix_midpoint=</span><span class="cn">FALSE</span>,</span>
<span id="cb166-20"><a href="#cb166-20" tabindex="-1"></a> <span class="at">replace =</span> <span class="cn">TRUE</span>, <span class="at">sampled_labels=</span>sampled_labels</span>
<span id="cb166-21"><a href="#cb166-21" tabindex="-1"></a> ) </span>
<span id="cb166-22"><a href="#cb166-22" tabindex="-1"></a> cor_bakers_gamma_results[i] <span class="ot">&lt;-</span> <span class="fu">cor_bakers_gamma</span>(dend_mixed1, dend_mixed2, <span class="at">warn =</span> <span class="cn">FALSE</span>)</span>
<span id="cb166-23"><a href="#cb166-23" tabindex="-1"></a>}</span>
<span id="cb166-24"><a href="#cb166-24" tabindex="-1"></a></span>
<span id="cb166-25"><a href="#cb166-25" tabindex="-1"></a></span>
<span id="cb166-26"><a href="#cb166-26" tabindex="-1"></a><span class="co"># here is the tanglegram</span></span>
<span id="cb166-27"><a href="#cb166-27" tabindex="-1"></a><span class="fu">tanglegram</span>(dend1, dend2)</span></code></pre></div>
<p><img role="img" 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p577pFZs2YZx7gR3QTy8vIE3wsrKyulrKxMjh49Kl26dInuRrdT6xpraqV8yRpVe3JelnQa3q+dWuLsarHk54knnpDy8nL585//bDkMBLM+cuSI9O/fX5YuXSpYi+sEcYwhfO211+Sxxx7z6NN169apm+Fzzz3ncQ4H4KPy6quv9hrX7pprrlEXaHJyste8hw4dksbGRq/neLB9CODBZ/ny5aryLVu2yFlnndU+DYnyWks+XCpNtfWqlQUIwKt5lKFEnsAvfvELwT0KcuDAgYg1YPXq1XLHHXfIs88+G7E627MixwyNwvekL/F3DjcARDPwJjiuu/Dydd5XXm/pecx6Anjzx9pCCL4Tmt/yra89dmo4rIVc0iXvAj4s6Cwi/Vd3HB/pelEf3g6dIo55I/yP//gPWb9+vSxevLjF0CiGAB588EGf/Y0L8c0335Q//OEPgqn3umBoFE9r/owohuL4RqgTi46/eLDBt0I88ULwVjhmzJjoaFyUtKK+vFIqVm5SrUkfUMgAvO3YL48++qjs3btXjTzl5+db2pK6ujr55ptvjDqGDnXOLGHHGEK8uc2ZM8fo5EA2pk2bJvhHsQcBeJrZvHmzCtiLNYXV1dWSlsaF4nrvHn7/c2ludLmi4yQZnUr7/MW1Onv2bDUq9eMf/9jSRsDg6r55UZG/0S5LG9IOhTtmaLQd2LLKKCWAH7i+rhBeZjiDtGVHMQBvSx7csz8BGkL79zE19EIAT776sDaehDEsRBGp2V8sVZt3KxSZYwZLardcYiEB2xOgIbR9F1NBbwTw7VePTIGIFPBBShE5xAC8vAwcSMBRhvCll16SW2+91Zgo4cD+psomAn369DFmBCNWIZbKOF1KTwXg7RAfJzmTRzsdB/V3CAHHGML3339frr/+enn66aflggsuYLRyh1zg/tRMSkqSwsJClQQOFxDF3slSsW6bVO92OSTPPne0JHXp5GQc1N1BBBxjCNeuXWt0KzwnYLE7hQQwPKovFt+5c6ejl7sUm9YOcrYofxtOIuAYQ+geg85930mdTl1PE0hNTZVevXqpA5gws2fPntMnHbTVrH0nLf3ka6VxXEqyZE8800HaU1WnE3CMIXR6R1N/3wT0pRRIAd+OTnxIKv9qndSXHlWQ8i48S+JTvbsN9E2RZ0ggdgk4xhC6Lw5134/dLmTLQyUAL0Hdu3dXxWBx/b59+0ItMubym9cOIuQShQScRMAxhnD8+PFGv8Jbg79oE0ZCbjiGgPmt0GlLKZrqT8oRLfYgJDEzQzJHD3JMv1NREgABx7hYmzJlirz33nvKl961115rTJvnZUACIJCZmSnwDVtSUqIccWMylVMelkoXLpfGqhp1IeTPPEfiErw7meeVQgJ2JeAYQ4gOnDlzpvpn186kXqERgAN2GEII3K45xRAWzz8daaKAAXhDu4iYOyYJOGZoNCZ7h42OKIHs7GwjUC+C9paWlka0/vaorOF4tZQvdS0tStHcqWUMLmqPZrBOEmhXAjSE7YqflUcbAQTu1cUJzriLP/hSmk82KJULLjtPV51/ScBRBGgIHdXdVLY1AvhOmJGRoZLhjdDuwUnNw6IMwNva1cHzdiVAQ2jXnqVeQRGAlxl8K9QFgXvtKnXausGK1VuVep2GniEdi1xLSOyqL/UiAV8EaAh9keFxxxLo1q2bwOMMBLNHq6qqbMni8LufieY9QOmWN/1sW+pIpUigLQQcZQgxAWLlypWO9ifZlovC6WngbMH8VmjXb4WlHy8zujpv2ul1tsZBbpCAQwg4xhDCdRYcLI8ePVouu+wyh3Qv1QyWAJwuIDoFBJ5mampc6+yCLS/a8lVt2yvHN7mibWRNGC7JeVnR1kS2hwQiRsAxhvBf//qX4I0QMm/ePGO9WMRIs6KYIhAfHy+6txn4HrWbt5kWLtWmT4ypvmFjSSDcBBxjCGtra1uwc99vcZI7JKARQKxCRLKHICpFfX292rbDfyWnhkU7aF5kshmA1w5dSh1CIOAYQxgCI2Z1KIHExEQpKipS2jc2NqrIFHZAcWzlZqnd7/Kgkzt1rCRmdLSDWtSBBIImQEMYNDpmdAKBPn36iB6pBBHsEck+1oXDorHeg2x/uAk4xhDm5uYa7PD9p0uXLsY+N0jAF4GUlBQ1RIrzJ0+elN27d/tKGhPHmxu1ALyak21IfMdU6aJNlKGQgNMJOMYQIuLE5ZdfrqKRP/bYY4b3EKdfANS/dQKYbYyF9hDMPm7SornHqpR9sUpOHq1Uzc+/+GyJT3bNjI1VfdhuEggHAcdEn8AC6bfeeisczFiGwwikpaVJjx491DIKTLLau3ev8ZYYayg4LBprPcb2RoKAY94IIwGTddiXgL6UAhpiKQWWVMSaNNbWS9nnq1Szk3IypfPI0w7GY00XtpcEwkmAhjCcNFmWbQl06tTJiE944sQJOXDgQMzpCk8yjTV1qt0Fl5wjHTQPOhQSIAER/hJ4FZBAGwm4vxW2MVvUJOOwaNR0BRsSZQRoCKOsQ9ic6CWQlZUl+uxjhGcqLi6O3sa6texkRZUcXb5BHU3tVSDp/Xu7peAuCTiXAA2hc/uemgdBoF+/fkaurVtdIYyMA1G8gbfB5oZG1cKusyZHcUu9N+2JJ56QG264QW655RbDVaL3lDxKAoEToCEMnBlz+CGwfv16ue666+Sqq66Sb775xk/K2DyFN8LOnTurxpeXlwv+xYIUz/vSaGZujEWaOH78uFq/+cILL8i0adPklVdeMXThBgmEg4BjDCH8ROKJcuTIkfwhhePK8VHGokWL5OGHH5a5c+fKI4884iNVaIdXr14t1dXVoRUSQm5ziKZYeCusPXREKtdvVxp3PnOApGlDo1bIycoq2fK7F8NedEZGhnEtffrppwJvPxQSCCcBx6wj/Pvf/y4vvuj6kV5//fVqcX3Hjtb6WFyzZo28++67Rr3h7LhoKOvRRx+VCRMmtGjKbbfdJhs3bpS77rpLDWO1OBmmHQTLxazN4cOHC8IlRVq6du0quHYwexTfCSsrKwWzSqNVVADeU43Ln2FdpInNv35Wi3i/RQb88npLUDzwwAOSmZkpl1xyiUf5S5culZ/97Gcex+1woKSkRC699FI7qBK1OjjGEB48eNDoBLwdlpWVqZuZcdCCDXiwwT+nCQwFvuU888wzMnPmTEvUh89PBFk+fPiwjBgxwogdaEllboXCywzeCletcq3Jw1vhmDFj3FJFz27JR0tdjYnrIHCybYUceGOBHFm0QhIzM6woXu655x7p3r27/PSnP/VaPh7IvvrqK6/neJAEWiPgmKHR1kDwfHgIPP744wL/nDCAmFlphfTufXrGIx5wMFxWWlpqRVU+y4SnGegJQRvac6jWZyO1E8c37pQTO/arJNkTz5Sk7Ex/yYM6V73nkGz/06uuvKdc0QVVkI9MX3/9tTz//PPy8ccfq6DaL730ko+UPEwCwRFwzBthcHiYK1ACeFO68cYbJTk5WX7yk58Emr1N6QcPHiw5OTnqjbCurk7g9mzJkiUqkO6gQYOMaBFtKizIRIhIgRmk69atU15m8FZ45plnBlmaddmK55+eJJM/Y1LYK2o62SAb73tSmmpdC/V7XH1R2OsYN25czExKCrvyLDAiBBxjCJOSWjoXdt+PCG0HVHLxxRfLBRdcoIyDHtTWCrXz8vJkypQpgokzGB6FwPUZvqeMHj06It/sevXqJZs3b1ZRKfbt2ycDBw403hKt0DnQMuEGTg/AG5ecKNnnjgq0iFbT73r6n+qtEwnTBxRKrx9d1moeJiCBaCPgmKHRGTNmCJwnQyZNmiQFBdbMnIu2Dm6P9iDMlZVGUNcJb53jx49X3whRJwQTVxYvXiw7d+603B8odERkCggiUiAyRTTJ0a83SN3hMtWk3PPHS0Kaayg3XG1EgN+9/+89VRwM7eC5t0lcomOercOFkeVEAQHHGEIMp2H4asGCBepbQxSwZxPCRKCwsFAmT55sxJiEUcKQJWYSYtjUSsFUft0II1YhYhZGi7QcFg3vbNGG49Wy8f6nRHvaUOr2u+uH0rFP92hRne0ggYAIOMYQggpmnWFBLt4kKPYikJ6ert70zWv8MIEGE2mw3MIqwRC7vq4NM1nxJhoNgm93Rz51BeBN6NRRuowbGtZmbZn7otRp6xMh2eeMlG7fPj+s5bMwEogkAUcZwkiCZV2RJ4AJLJgsc8455xjD4Fgqg1mH+JYIQ2WFFBUVGYF7YQgbGxutqCagMo8s/kYaKk+oPPnTJ4Z1yBLrEkvmL1FlJ2Z1loG/uTGgtjExCUQbARrCaOsRtidkAnCOjaFS82L7PXv2CLzeHD16NOTy3QtA0Gd9SQcML4ZI21vMLtXCOVu09mCpbH34r4Z6gzQjmKQZQwoJxDIBGsJY7j223SeBxMREGTVqlFrojm0IPMF8/vnnsmXLlrBPpNEnzaAeTJrBd8r2kobqWilfslpVn1yQLZ2GnRGWpjRrOm385VPSWFWjyutx9cVqWDQshbMQEmhHAjSE7QifVVtPAN+FscxCD5+EJQVY8gCDCMMYLsE3StQFqampkf3794er6IDLKflwqTTVuSbtFFxyrjFsG3BBbhl2P/+2cqGGw2lF3aXojqvdUnCXBGKTAA1hbPYbWx0AAQxdwgXXkCFDjMX2GCLFUOnevXsDKMl/UnOIJqxphNFtDzEH4M278KywNKFy/Q7Z8/xbqqwOCfEy5L9vl/jkpLCUzUJIoL0JOMoQwvvIk08+GVMBVdv7ArFL/fAPigjz5513niCaAQSTZ+AvdPny5YJve6EKwjPl5+erYhA6yMrZqr7aWl92TI6t3KROpw8slPR+vXwlbfPxxppabUj0SWludA339v3Pa7TF86fd3LW5ICYkgSgl4BhDCCOIhfS33367+tteT+tReh04plmIEgFjiJmeuoTTXymMrS54K4y0HH7/C211v+tNNFyTZLb+z1+lZq/Le0+XcUOkxzXTI60W6yMBSwk4xhDim5Bu/HCDws2P4kwCWAA/bNgwNVyqO87W/ZUisHAoyx/gAxWzViEYfo20M3DzbNG8MATgLV34tRz+92KlD9YjDvrtLWH75qgK5X8kEAUEEtzbUFVVpSYXDB06VPBtRRcM+SC0jj7pQD/u7y+mkcNrvLcp63BxhvJw42ir7Nq1S5V37NixFlkw7KWXl52d3eKcvuN+c3Pf19Pxr3MImP2V6sOYmPEJ4xWKv1Is6tdDAsGbUSC/mVDoV2tvbVVbdqsiMscOkZSubf9teau3rqRcNj/0vHFqwK9mS3Key8gbB7nhSAIIY/fUU08Zfn7NEBAzcvbs2YajCfM5X9tHjhyRp59+2mt5Xbp0UeXBg1RbBb9hlId4obpgEhsedOFkA5PbzOLVEK5YsULwz10Q/mTt2rWCbyGtCSYhwBu/v1A8enltCWoKo4ry4EvSl/zlL38RBMPVvwH5SsfjJKATgGcYRDfAOkO4ZcMDku6vFG75zIvl9Tyt/cVDI65BfCfEDxwPbrg5WC3mALwFIQbgxejJpgf+VxoqqlSzu14+VcLxhmk1A5ZvPQFc12PHjhW8mPgSGEnci9tivPB7QzxP/AZ9CYwayoOj+9YENgfl+ZoIh5c9d0MY0NAoCn7zzTdba4c6DyPnzwgiERR/++2321yePyOIQtAx77zzTpvKYyISMBPAgngss8DTJwTrAPH0CH+leJIMVAYMGGBkwVthJEQPwItZnTlTQgvAu+/l9+XosvWq2ak98+WMO78fCRVYRwwQwD3WnxGECrhXtzVu5FtvveXXCKI8PEziRactAhvlywj6yh+QIUQh5uFSX4XiuB7pwV8anGtreW1N56tehMjRBW+0jD6h0+BfnUDHjh2VezYYMQy3Q3R/pYF+U+7WrZvxG8CwK56irZSKtduMCS0It5TYueXQTyB1V23dIzufel1l6RCvua373a1hj1wRSHuYNjIEcE80j/aZ75nmFvi6x5rTYDvUe3aw5bW1XnP5ARnCs88+W77zne+Y8/vcRnBW81Oxt4SYxXnFFVd4O+Vx7Oabb1aBUD1OmA6ce+65MmvWLNOR05uXX365PPjgg9K1a1d59913hfEIT7Ph1mkCMIC4AeDa1H/wiCiBJRZYatFWf6Uox7yucNu2bacrsWDLvHawIIQAvI119bLhXm2phOa0G1J405XSeVg/C1rMIqONAO6JuDfiHol7Je6Z3gT3WNxr/Qmufdyz2yKwAfi9+RPYEtiUtghsFGxVINJB+xbgmmt9KhdeQfXhoSuvvFINF+EUvntcdtllAcWZq66uln//+98+J8tceumlAZUHTyAoz32yDNqHp5nWysOkne9973syb948ZKGQgF8CMHr4bmgeZoFxxEQafWaovwLwvRFhv+rq6tQbJgIWB/O06q8OnIPrsyUX3Sr1R45JfGqyTFz4nMSnBLfYfevcv8iBf36kquw8or+MfPHXgrdCinMIIHbrq6++atgBb5rjtwGjqQfFNqfB93DYCoywtFX8lQd7hPL0B9O2lInyYCv0yTKYIPPGG2+orLAD7t/sPQwhPiTiQz9CFWFijDmsTVsaEM1paAijuXeit20YFkX0CnOsQTyhmodQfbUeS3U2bNigTiNc0/Dhw30lDfp42ZerZe1tv1f5C2ZNFjjCDkbM5cR3TJWx//y9pHbLDaYo5olhAm0xhLGmHr7T47eHh1J8pmh1sgzWWMEdFay9nYxgrHUc2xs9BPC9b+rUqS2WQcBxd1v8lWISDiLZQ/BmGQ4PNu5kzGsHg50tWl9eKZt//YxRdP97r6MRNGhwI9YJwJbBpsG26YG0zTp5jHlg6AZeWDCMQyEBEnARwMJ7b/5KMeRiHjp154XIF3pkCgyVYp1iOAXf9BB7EJLYpZNkjh4cVPGbH3xW6ssqVF7ELyyYeU5Q5TATCUQrAdg02DZvnyc8DGG0KsF2kUB7E8AEGN1fqb72FcYNk2gQ/NfX2x6GRBE0GIJp5/h+ES45snC5NJ5wLe8omDkpqO95+1//SMo+W6mahLBN/bS3QQoJOIkADaGTepu6hoUAjCBmzelveigUSyTwdlhSUuJRB763F57yioHvjK2twfIowM+B4vlfGmeD8S1avfug7Pjzq64yNEM/eM6tkpjR9kkORuXcIIEYJkBDGMOdx6a3HwF8Z4AbQkzTNvsrxQJ8b/5KYTT1tYk7d+4MS+Dek8dPSPnStQpCSo88yRjUJyAgTdoSiQ33PiFNta7IG71/PEsbWh0UUBlMTAJ2IEBDaIdepA7tRgB+ROGRBhNqdMF3wMWLF7dwB4ip3z179lRJ4ODbnzspvZzW/pbMXyLNDY0qWddLz2stucf5nU++LlWbd6vjMKKFN37bIw0PkIATCNAQOqGXqaOlBLAQGb4XR44cacwQxRRtGEMYRX2prjlEk/l4sI0zD4sGGoD36IqNsu9v76uq47Q1h4Pn3i5xiR6uh4NtGvORQEwRoCGMqe5iY6OZABwCT5482ViI7O6vFOtz4bUDAucQBw4cCFodRIaoWLNV5e807AxJKzz9RtpaoRhS3XT/U9pKfJcvjX53/VDServa1VpenicBOxKgIbRjr1KndiPgz18pDF+43K6pSBOnDBmWOwQiW+e8IHXF5SpLzuTR0u2KqYFkZ1oSsB0BGkLbdSkVam8Cur/Sc845x3AzhdmiCG2GcGJ6DE546Pfmoqot7S/56CtXMm2mZ24AAXgPaUF29bxJ2Z1lwAM/aUt1TEMCtibg1RB68+VpawpUjgQsIAAfiRgqNcdQw+J7cySKYJxxIzoE/kGyJgyX5FxX6KjWVKg5UCLbfv9XI9nAh26WJG0RPoUEnELAl23zMITwNYoo7/fdd59T2FBPErCMANyrYRINgv/qEU/g71CX8vJyQbTvQMTsUq2tw6LNjU2y8ZdPSmN1raqqx/dmSPbZIwKplmlJIKYJwKbBtsHGuYuHIUQCfOSfO3euLFy40D0990mABIIggEkyWGaRl5fnkXvTpk0ex/wdKFngGhbtoM3yzDlvtL+kxrndz78llWtcoaA69u0hRbdfZZzjBgnYnQBsGWwabJs38WoI9YRr1qzRN/mXBEggRAJYeH/WWWephfj64noUiTfCzZs3t6n0Y99sktqDpSpt7tSxkpCR1mo+BO3d88LbKh2MJ5ZKxCcHF6ap1cqYgASikEBrtsyvIdTXP0WhXmwSCcQkARhAeJnBt0PdIw0UQTSLZcuWqTAx/hQzB+Bty7BogzYUiiFRDI1C+v7nNZLer5e/KniOBGxHoDVb5tcQ2o4GFSKBKCEAf6Xnn3++sQAfzcIMUl/+SnG+SfMiU/rpcmxKQnqamiijdvz8t3XuS1K73+X/tMtZw6TH1Rf7Sc1TJOBMAjSEzux3ah0FBDCRZtCglr49MZEG/krXrVsniGxhlvIvVsnJo8fVobyLz5a4pETzaY9tfEssfu9zdTyhc7oM0maJmodkPTLwAAk4lAANoUM7nmpHBwEsrdBnk5pbBMfccNFWUeGKEYhzh+eZIk20sogenme2/PYFo8iBv/5Jm5dZGJm4QQIOIeDXEHr7gTqEC9UkgYgQwFuhOZwTZpXqEe11f6Xbt28XfOsr+3yValOStm6w85n9fbYP30M23v+0NGiu1CDdvn2+5E4Z6zM9T5CA3Qm0Zst8GkLEULvooovszof6kUC7E0DgXt34YV3hpEmTJCsrS7ULRm3Dhg3y+YJPpCHJ9XMtuOQc6RDn86cre//fu3Js+QaVP7VXgZzxi2vbXUc2gATakwBsGWyaL/H4NSHOGn6I77//fgu/iL4K4HESIIHQCCQmJgqMIQTR6xHkF7/BgQMHGt/0KqVBqm6eLieH9BR/kSaOb9ktu576pyqrQ0K8DP7v2yQ+NUXt8z8ScCoB+PiFTcPvCjbOXTwMYWpqqnz++edqRpt7Yu6TAAlYQ6CoqEjiTr3lIYI9Fv4OGDBA4K80TftNKklNkporJ8q26qMC36Xu0qgF2N2oBdrVYxT2uflK6TSkr3sy7pOAIwlgljZsG2ycu3gYQvcE3CcBErCeANYU6j5J6+vrlXNu1Ap/pf2PNEjiiu1GI/bt26eWWbi7Ztv+yN+ketdBla7zyAHS60eXGnm4QQIk4JsADaFvNjxDAhEl4B64V3cHVTpviaS+t0JSX/tMErXJNZCamhr54osvBO7ZkO7I5yvl4P99rM7Fp6fK4N/d5vc7okrI/0iABBQBGkJeCCQQJQQQy7BHjx6qNTB0ePOr0dypHd+wQx3LScuQqdrwjtlf6datW+WzTxfJhkdfMbQYcN/1ktI1x9jnBgmQgH8CNIT++fAsCUSUgPmtEMsmDr37mVF//oxJyi3bhAkTZNiwYcY3xYqq43Ls6olSP6pI8mdOkra4XjMK5QYJkIDQEPIiIIEoItC5c2fJz89XLUK4mH2bt6rtDvFxkjt1nNFSTK6ZPHmypDZ1cB1LSpDay8ZJxfSRrforNQrhBgmQgCJAQ8gLgQSijACmeutS2c9lFLMmnilJWS2D6MaVVkrSH96UpC+0ME7aekNIyZFSNZGmuLhYL4J/SYAEWiFAQ9gKIJ4mgUgTQPBQ/IM0dc+WhqJ8wbCoWZpONriWStTUS8rHa6TPkZNGNAv4K/3qq69k7dq1Hv5KzWVwmwRIwEWAhpBXAglEIQHzW2H9eUMl59yRLVq58/HXpGrrHnUsQ1srOPRHV8jUqVOle/fuRjqsR1y0aJEcO3bMOMYNEiABTwIehhAundzXJ3lm4xESIAErCSTuKpG4w0dVFQ29c6Wytsao7ujX62XfK/PUflxKsvIeE6d5kYGHmjFjxsioUaMMl234zvjZZ5/Jtm3btNFT1/CpURA3SMBhBGDbvP0OPAzhiRMn1PTse+65x2GIqC4JRA+B4vlfSvJnG40GYZkE5GRFlXKorZ/o/18/kjTNn6hZevbsKVOmTGnhr3Tjxo3y5ZdfqvWH5rTcJgGnEIBNy83NFdg4d/EwhEiABboPP/ywfPLJJ+7puU8CJGAxAXz/O/LpCknYtF/ijrl+tAjai2gUW+a8IPWlrjfFHC2iRNdZk722Ji0tTflVRLxDPQYhnoYXLlwo+/fv95qHB0nArgRgy2DTvL0NQmevhlCHgY/tFBIggcgSOLJohQqh1EEbysw/PSIqaz75XEo/XqYag1BMAx+Y7bdhMID9+/eXc889V9LT01VaOPX+5ptv1D9v/kr9FsiTJBCjBFqzZX4NoS/rGaMs2GwSiAkCxaYAvP3OHm3MBi1rqpOmzmlKB0SbT8zMaJM+mZmZct5550lhYaGRHm+Fn376KecDGES4YWcCrdkyv4bQzmCoGwlEI4GGqmopX7JGNQ1u0jKH9ZeiPkWupmqL6usmDpKe358pWWcNC6j5iHc4YsQIGT9+vOhBSnV/pfh+qPs1DahQJiYBmxCgIbRJR1INexAo+egraap3hVjKRwBebXhTPtYi02vrBSEnNTdq3Wd/K2hlCwoK1DIL3XsNCsKMUswsxTdICgk4kQANoRN7nTpHLYHieV8Ybcu/aIJUrN4q+198R5K/2uI6ri2T2LVvr5EmmA1E6j7rrLNk+PDhRpDSiooKWbx4sWDtIYUEnEbAryHUh1CcBoX6kkB7EKg7ckyOrdysqs4Y1EeS87Nl4y+f1KZxN0vi19sk7tQyQBircEx06dOnj/p2CP+mkMbGRuWNBl5p4J2GQgJ2IdCaLfNpCBEo9OKLL7YLB+pBAlFPoPh97W3w1KL3/BkTZevcv0itFoYJkjNykPQ5wxVtHjM/d+/erY6H+l9GRoaaVWr2ZAM/pVhmgSUbFBKwAwHYMtg0X+JhCOPj49VT4rx588QcEsZXATxOAiQQHgLmYdEOmpcYfT+xS4YMeugm6du3r7EmcMeOHWHzIxoXFyeDBw+WiRMnSmpqqlKmvr5eli1bJmvWrAlbPeGhxFJIIHACsGWwaZg9DRvnLh6GED8E+CeEZwoKCZBAZAhU7zlk+A7tPKK/7HrydaPigb++UZKyM5WRgtcYCIYu9+7da6QJx0ZOTo763Zv9leLNk/5Kw0GXZbQ3Adg0XMv6w565PR6G0HyS2yRAApEhcNgUgLf+2HHBMgpI9/+4QHLOG200wjxKg8C9ra2PMjK2cUP3Vzp69GgPf6Vw8xbu+trYLCYjAUsJ0BBaipeFk0DbCJR8tNSVMK6D1Ghvh5C0wm7S9z+/5zp+6n980+vWrZvaq66utsxdWo8ePdTboR4OCgZw06ZNyl8p6qWQgJ0I0BDaqTepS0wSqFizVWr2nQqke2pmaAdtmcTg/75N4lOTPXQyT2zBW6FVAn+l+G6I74dmf6XwSEN/pVZRZ7ntQYCGsD2os04SMBEwu1TTZ40W3XaVYAmFN4HLNHjRh1RWVlo6uxMGEIbXm7/SFStWhGUZhzcdeYwEIkmAhjCStFkXCbgRaG5skpJTjrT1U5mjXW7U9H1vf+FMWxd4hrFaYHwnT57cwl/pgQMHlL/SI0eOWF09yycBSwnQEFqKl4WTgH8C5UvXysnyCiNRQnqaDJpzq3TQljT4E8zw7NKli0pSXl4ukTBGmHYOf6XwSgPvNBD4K0Wcww0bNljqr/SJJ56Q66+/Xm655RbB0g4KCYSTgP9fWzhrYlmOILBq1So1yWLWrFly9913O0LnUJQ8+PbCFtkH/OoGSSnIbnHM1475rVAP3OsrbTiPw08ppqKb/ZXiWyX8lVZVVYWzKlVWbW2tKvfFF1+UTp06ydKlpyYWhb0mFuhUAjSETu15i/TGIuw777xT/vWvf6lAmFZUs2/fPltM42+oqZMji74xEBVccq7kXTjB2G9tA4YIs0ghpaWlAn+hkRLdXyneEPUFyqgfb4fhFngEuffee+Wll15ScRRHjhwZ7ipYnsMJJLjrj2nSGGbRP8a7n4/lfQzjbN68mW8qYepEDFUNGDCgRWmrV69WHklw05o9e7YlbvrWr1+v3hAQfT2WZevvXtD8iDYpFeLTU6Xff/0oIHX0iSwrV65U+fBWOHbs2IDKCDUxYhximBbBfo8dO2bp8Ci8gixfvlw++ugj+c53vtOi6Vu2bBG8MVJCJ4B7JO6V+tB76CVGTwl4YMT1qs+C1lvmYQhPnDihhjx+/vOfyx//+Ec9nS3+ZmVlyW9+8xuBs2FK6ATy8vI8CsE3HAzZIf7d1KlT5aKLLvK46DwyBXEAN33Ur69zC6KIds1yYsc+zYXa6benfnf9QBI6utybBdIweIHB+j7cuA4ePKgeEPRo9IGUE0pa1HfOOecIjNGePXtCKcpr3qNHj8r//d//qQeryy+/XBlD94S4Fi699FL3w9wPgsDQoUMF90q7CUaq/vSnP6mZ1u6/kQ7aG+CplUsutTHGrw+3LFiwQKZNm2Y3HtTHQgJPP/20XHfddcqNEQzhJ598EnZDOH/+fDVhAuvcMJMR3lBiSRBvcPnV90r1zgOq2QmdNUOy6PmgVUA0irVr16r8vXr1kvYcOsT3PH/OjYNV8o477lBvm5gYhAf0rl27BlsU8zmQwMcffywXXHCB0hxxN90NoccboZnRunXraAjNQLjdKoHevXurJ3dMt7/55pvDbgTRADz9Y0E3PJzAAMAdWCzJjsdeM4wg2t3j6otCaj6MH4azMJsS308HDhzo1Z9iSJW0MbMVRhBVP/bYY8q/qj5btY3NYTISUARgy/yJX0Po9rLorxyeIwFFYObMmTJ9+nQ1mUWfRBFuNBi6KSkpUTd+GERMGoFLsFgQLJfY//f5LZqaf/HEFvuB7oAzIlNgiBS/WUSmACO7CY2g3Xo0cvq0Zss4azRyfeGYmhDWxyojCIi4IZqH/xAqCN/Iol1Oas60N/36mRbN7DS8n6T1Dn2YD9+98V0WgogRXGvXAjN3SMAvARpCv3h4MloJFBQUGJOeEKgWsxZbe+prb102P/S81JcebdGM/OmhvQ3qheE7qT4JDJHmd+7cqZ/iXxIggVYI0BC2Aoino5fAkCFDjI/eZWVlEslF5YFSOfjWJ3Lk0+UqGxxqK9EiTeROGx9oUT7TFxUVCd7GITCEeECgkAAJtE7AryFMSkpqvQSmIIF2IoDhV0yU0dcEYfo+1rJFmyDo7rY//M1oVnNDo9rOmjBcknMyjeOhbmCiCiYrQU6ePKmGSEMtk/lJwA4EWrNlPg0hovhi0gOFBKKZAGanIkwQBEOjGCKNpjehJs3obfzlk9JUW6famDGkr/qL/8I1LGoUqG0gcK/+YIBJM02nFuyb03CbBJxGALbMW2R6nYOHIcRTNtZ/ffDBB2ommp6Qf0kgWglgxqS+sB7rYFubKh1JPXY/84Yc3+D6Xpfev7fUlbneWOOSEiVn8piwNwVrK7HIHoI1fVhOQSEBpxPAPQI2DbbN20Q+D0MIq4lF0Ig/RiGBWCCANyAMkeoL6/fu3SuHDh1q96YfW7lZ9rz0b9WOuORE6XHtdKk/XKb2c6aODcqTTFuUcg/cG+2TiNqiE9OQQKgEYNNg27y9GXoYwlArY34SaA8CuLjhAFoX+DzFG1F7ScPxatl4/1MYr1VNOOPn35eKVVuN5lgxLKoXjggNmFULwRsyXK9RSIAEfBOgIfTNhmdijACGBOFlBYJ1dHBG3V5vQ1vmvih1h1wBa7MnjZSul0+R0oVfq7YlZHQUTJSxUsxvhZEI3GulLiybBKwmQENoNWGWH1EC8KiC72QQeJrHhJFIy+F5X0jJ/CWq2sQunWTggzdK2RerpaHCFasv7+IJEpfo16lTyE2G02R42YcgPBI88VBIgAS8E6Ah9M6FR2OUAL4Tmn2Pwu1YZWVlxLSpPVgqW+e+ZNQ36MGbJCmrsxTP/8I4ZuWwqFGJtmF+K4zmNZbmNnObBNqDAA1he1BnnZYSwNsQHE9DsHxgxYoVAm8rVkuzVhe+CzZWudy9db/qQsk+Z6Q0VNdK2eerVPXJeVnS+cyWMRytaheck3fu3FkVD4cDiNxAIQES8CRAQ+jJhEdsQAAxEfXAogi7snHjRsu12vPSv7QJMVtUPWlF3aXvf35PbZd+vExbR1ivtvMvOcdY52d5g7QKwEEXvhXqJPiXBFoSoCFsyYN7NiGgL6nQHVHD5ZiV38kq1++Q3c/8n6IHF2qD//s2iU9xeWYqnn86AG/+hRMiShhx+zp27KjqLC4ujugwcUQVZWUkEAIBGsIQ4DFrdBOAARg+/PTsTMwitSIqQ2NNrfIe09zYpIAU3f5dyRhQqLbryyvk2PINartjv16SPsDlAk0diMB/eCAwfyvkDNIIQGcVMUfAwxBiujmeHCkkYAcCPXv2lG7duilV6urqZNUq17e6cOq27eH/JzV7D6siM8cOkZ7fn2kUX6zNHtUNZP6M8ESaMApv4wYY6AFzDxw4oAIatzErk5GArQjAtnlbUuVhCE+cOCEYTvnZz35mKwBUxrkEsNBeNwSHDx8OqzPqUi2ixKF3Fim4CZ06yuA5t7T4BmieLZoX4WFRvccRkQI+SCG4CfCtUCfDv04iAJsGRxOwce7iYQiRAD+WP//5z/LRRx+5p+c+CcQcAXieHzVqlNHu9evXK48rxoEgN+q02IKbH3zOyD3g/hsEs0J1qdlfbPgZ7TxqoKR2y9VPRfwvolKYXdDh7ZhCAk4hAFsGm+ZLvBpCPfGGDa5vG/o+/5JArBLIzc01vpVhKQWiVIQSmQEPi5se+F9jkXzBrMmSd8FZLfAcfu9zY79gxiRjuz02MGkI8Qoh0Ls9HA20h96skwRAoDVb5tcQehtLJVYSiFUCWFuor6tD3MLNmzcHrcq+V+bJ0a/WqfwpPfKk390/9Cir5MOl6liH+DiBk+32FhhC3fP+rl27VMzC9m4T6yeBSBBozZb5NYSRaCDrIIFIEcC3Mnid0aO441sZFpoHKlVb98jOJ/6hssHIYalEQlpKi2KwnKJ690F1LEvzNZqkuVprb8EQcWFhoWoGYjbCGFJIgAREPAxhNAU1ZQeRQLgJZGRkyLBhw4xiMUSKaO5tlca6etl435PSfLJBZSn8ybel87B+HtnNawcL2mm2qEejtAOIy6YH7sXaykh43PHWDh4jgfYi4M3GeRjC9gxd015gWK+zCOCtKD8/XyldU1Mja9asaTOAHX/+u5zYsV+l7zSin/S+/lseeeFqrWTBV+p4XEqy5mbt9EQdj8QRPoBwVXqEDkyY2bNnT4RbwOpIoH0JeLNxHobQ3MTk5GTzLrdJwDYERo4cKfr1jbV1bYnkXrZkjRz4x4eKQXzHVBn8u9sEQ6PucnTZeqnXZpRCcqeNk/jU6Pod6Usp0L7t27eHNGkIZVBIINoJ4LOAP/H8FZ9Kje8o06dP95eX50ggZgnACMIY6rJ27Vq/C83rj1bKZm2WqC79771OUrvn6bst/rYcFm3f2aItGnZqJz093XAygDdiPAhQSMDOBGbMmGHMDfCmp4ch1GeVwTWVPt3aW0YeI4FYJ4DhUf0ax3cDfC/0NbsM6wXryyqUynkXniUFM8/xqn5T/UnBIntIYpcMgaeZaBR3t2u+9I7GtrNNJBAoAfzOdXeLuo0zl+FhCPENAZKZmWlOx20SsCWBwYMHCybQQBCmyFuEhgNvLJCyxd+oNMn5WdJfWzjvS45o6fQwTPkXT5Q4zQF3NAp+3wjTBEF0DnjcoZCAnQnoNk23cWZdPQyh+SS3ScDuBPB0iCUV+kzKLVu2yNGjru970B1LILb/6RUXBs2B9aA5t0pihiuagzc2xVp0el3ay7eoXn9rf80hmuh2rTVaPB/rBAYM8B0HlIYw1nuX7Q+ZABbZ480QgiFCDJFiqLRJWyKBpRJ6LMFeP7pUuoxxpfNWacPxain70jUDNUX7fthp6BnekkXNsezsbCNmI4x/aWlp1LSNDSGBcBOYO3eu3H777YarQXP5NIRmGtx2LAGsr8vJyVH6wynvunXrZNfT/5Tjm1yLzjMG9ZE+N1/pl0/JgqXG+sKCmdE3ScZb4/lW6I0Kj9mRAAJ1P/7448ZscbOONIRmGtx2LAEMjcIxt9kx9Y5lrpBNcVqAXXiPiUtM8MuneN7pALx5F53tN220nMSEIf0bKd4I4XqOQgJOI0BD6LQep74+CeAj+plnnmmcr710rDRlpEi/O38gaYWumIbGSbeNupJyObbS5bs0Y3CRdCzq7pYiOnfxAGB+K/Q2WSg6W85WkUD4CNAQho8lS7IBAQTx7VR8XGnSnJYsDdddIF2vmNqqZmrtoPZ9ERLtk2TclenevbukpaWpw4cOHQpLiCr3OrhPAtFMgIYwmnuHbYs4gcPvfibNL34oHcpcxrA2q2ObQhYd1meLam9Y7uGYIq5EgBXirdDsbYYzSAMEyOQxT4CGMOa7kAqEi0DNgRLZ+vu/Sof6Bkl9yxVCCWVv2rRJKipci+m91XVi1wE5sXWvOtVl3JAWwXm9pY/GY/A/qrucg7s5eJyhkIBTCNAQOqWnqadfAs2NTbLpl09J4wmXASg8b5wgfiEEgWyxpMJXpIbi908H4M1v5wC8fpX0cxLrKTFzFoIlJPBBSiEBuxHwFnkCOtIQ2q2nqU9QBHa/8LZUrNmq8nbs20OKfnq1mkSSlZWljsH7iq8o18V6AF5tVmnOlDFB1R8NmQq1qByIZA9BVIr6+vpoaBbbQAJhIbBo0SLJzc0VLI9yFxpCdyLcdxyBinXbZM/zbym9O2jGDEsl4pOTlLcZeJ3RjQMC2RYXF7fgU7F6q9TuL1HHcs4b7dfrTIuMUbiDpSO671W8/SJeIYUE7ELgT3/6k1oe5M2vLg2hXXqZegRFoKG61hVoVxsahfS942pJ79/bKAuzKXVnvTi4atUqQRw/XYrnx45LNb3N/v7CECLyDASG0NdQkr8yeI4EopEARnV8CQ2hLzI87ggC27TJMfobXZezhkmPazxDj/Xs2VOwxAACI7h69Wq13dTQqAXgXaa249NTJXvi6TWI6mAM/ocJM717ux4ETp48Kbt3745BLdhkEgiMAA1hYLyY2kYESj5eJof/vVhplNA5XQY9dLPhfNtdzREjRojutR6RGjBMenTpWjmpxSmEYMlEXFKie7aY3MdSCiypgOzYsYOBe2OyF9noQAjQEAZCi2ltQwCeYLb89nlDn4EPzJbk3C7GvvsGvp/BBZsumDiz99Ov9F1tEX1s+BY1GuxnA8PBPXr0UClqa2tl7969flLzFAnEBgEEpPYlNIS+yPC4bQngY/mmXz0tDZWu2WNdL58quVPHtaovnHLrAW0xmeRAfpo0x3WQpJxMyRzlWmrRaiExksC8wB5LKbxNMIgRVdhMElAEfv7znwsizeijHWYsNIRmGtx2BIF9L78vR7/eoHRN7VUg/e76fpv1xtpC/JggjQWZUnf+cOVSrcOpCSZtLijKE3bq1Em6du2qWonp5gcPHozyFrN5JOCfwJQpU1SosY4dPeOJ0hD6Z8ezNiNwfMtu2fnkP5RWHeLjZPDvtKUSqSlt1hIzKlUg31OzTOsnDJSkybE/ScYbAP3tF+fojNsbIR6LNQJ6dBn3dtMQuhPhvm0JNNbWu5ZKaLM9IYU3XakFz3V5UwlE6RQte8r8la4s2tDoppIDghmWdhPEb9NjNFZWVnqsobSbvtTHuQRoCJ3b947TfMejr0r1zgNK784jB0jvH18WFIPiD5dI4ortkrDZVRYmlOhLKoIqMIozMURTFHcOmxY2AjSEYUPJgqKZQNnnq+TAPz9STcSav8FzbpVgv+upkEtaSSn/XiZJCa4lE/iGZsfZlXBJlZmZqbiVl5cL/lFIwG4EaAjt1qPUx4NAfXmFbPrNs8bxAfdeLyndco39QDZqD5ZK5ZptKktmv94yeuxp36Lr1q3z6scwkPKjMS2/FUZjr7BN4SRAQxhOmiwrKgls/vWzclIzhpD86RNDCpxrxB08VVZeXp7hnxPuyBClwm5LDTB7VF+DBV+r+F5IIQE7EaAhtFNvUhcPAvtf/0jKvliljid3zZH+9/7YI00gB0o+WOJKrk2S0QPwDh48WDIyMtTxo0ePypYtWwIpMurTYt0V3wqjvpvYwFYI4Ld5xx13tPAVrGehIdRJ8K/tCJzQJsbsePQVl17azRzfBRMy0oLWE0svTuzYr/JnnT1CkrJc6wkRy2/MmDGGs2osNbDbtzR4mklJcS0zOXBAC0TsJZRN0GCZkQQiQOC+++6Txx9/3OsMbxrCCHQAq4g8gaaTDWqpRFOda1lD7x/PCtn7S/E8U6QJbYjVLFiAjjdDCIZGMURqp8gNWD/p7m3GrD+3SSDaCWzevNlnE2kIfaLhiVgmsPPJ16VKe4ODZAwp0tYMfkdtB/sfjFvJqQC8ccmJkjP59CQZvUyEMMIsS0h1dbWsXbtWP2WLv4hKkZSUpHTBDFksG6GQgB0I0BDaoRepQwsCR79eL/tefk8di0u4TxBKAAAlEUlEQVRJVt5j4hLiW6QJdOfYN5ukrti1dCBn6lhJSPP0RoNvaXDMrXuv2Ldvn2AY0S6CAMV64N6mpiYVmcIuulEPZxOgIXR2/9tO+5OVVZpD7f819Op31w8krbfLZ6ZxMIgNf8Oi5uLwHW3kyJHGoTVr1khNTY2xH+sbffr0ERhECGIV2tGjTqz3EdvvnYAecNrbWRpCb1R4LGYJbJnzgiDEEiRnyljpdsXUkHXB98bST75W5SR06ihZZw33WyaWG5iD265cudI2SyowNFpYWKj0xzdQRLGnkEAsEDjvvPN8NpOG0Ccanog1Aoe0ILulpyLGIzQSYgyGQ7D8Qg/ZlH/x2RKX6Hoj8lf20KFDRfdyf+TIEUEoI7tI3759jRmyMIQISUUhgWgncP/998trr71mzH42t5eG0EyD2zFLoGZ/sWz7/V+N9iPafGKma22fcTDIjeJ5Xxo589xmixon3DYwfKiiVGjfDSGbNm2SigrXon63pDG3i+Hfnj17qnbX19fLnj17Yk4HNth5BDA0+t3vftcY2jcToCE00+B2TBJo1kIibbzvSWmsds1i7PG9GZI1wf/wZVsVbThRI2Wfr1TJkwuypfOI/m3NKojegPiFEMw6XbFihW3enswL7PG2i8kzFBKIVQI0hLHac2y3QWD3829J5TrX0GPHfr2k70+/a5wLdQPfBvW1iAUzJ3mNbu2vDhiMrKwslaSqqkrWr1/vL3nMnMOwb/fu3VV7MRlo/36Xo4GYUYANJQETARpCEwxuxh6BijVbBYYQEpeUKIP/+zb1N1yamGeL5l10dsDFYkkFhkjNMy0PHz4ccDnRmMH8Vrht2zbbTAiKRtZsk7UEaAit5cvSLSSAYUsMiUpTs6ql6I6rJf0M17ercFRbX3ZMji7foIrq2L+XpGtvm8FIWlqajBgxwsi6atUqr/4OjQQxstG5c2fJz89XrcXb7qFDh2Kk5WwmCbQkQEPYkgf3YojA1v/5iyAsEgS+P3tcfXFYW18MB9unjGzBjEkhlQ1fnfgHwQQTGEM7iPtboR10og7OI0BD6Lw+t4XGJR8tleL3Ple6JHbJkIEP3hTw97vWQLSYLXrhhNaSt3p++PDhkpqaqtIhnJEd1uBlZ2cb30CPHTsmZWVlrXJgAhJoLwJwe+htYhcNYXv1COsNmgAWzG+Z86KRf+ADP5Fkbd1gOKV672E5vtG1WDxz9CBJ0UI4hSpwvYbvhbps2LBBjh8/ru/G7N/+/U/PpN2xY4dlemDm7fvvv29Z+SzY3gReeOEF9YkCfoDdhYbQnQj3QyKAm9WXX34p8+fPtyz6wta5L0nD8ROqnd2+fb5XB9ghKaFlNk+SyZ/RMtJEKGXjDUo3HHgyxZIKb0+oodQR6bz4TojoGxAr3wifeOIJmTNnTqTVY302IfDGG2/41ISG0CcangiGwB//+EdZsmSJetO54YYbgimi1TwVq7eqNKmaD9EzfvH9VtMHk6B4vmsRfQfNWXfu+eODKcJnngEDBkhmpusNFtHeN27c6DNtrJwwfyu0os1YdoLhZN3gWlEHy7Q3AXyb9yWt+4rylZPHWyWwfPlydZPTQ/O0miHGEowdO9YIO6Q3fcKECTJx4kS1cPyRRx7RD4f9LwzUEG2pRHxqctjLrly/XWq0oVFI9qQzJbFzeljrgIcLDJEuWrRIccJwIt6qYvk6wZpCeM+xIgZjXV2dzJ07V1566SW57LLLvPZFaWmp4PdmR4FuiHWJ3xvFGgI0hNZwVaXiewZmByJ6uR0FbzbuN+9Jkyap9WR33HGH3HTTTZap3eeW/5CMwUWWlK+/DaLw/BBni/pqYHp6ugwbNkxWr16tksAx95QpU4x4f77yRetxrJfEkK8Vb7fPPvuslJSUyC9+8QtlbF9//XW56qqrWqDAmzWCIdtRMHy+a9cuGkILO5eG0EK4vXr1Ut43Zs8Oj/NnC5satqLhgBkGcPz48XLdddeFrVxzQQN+dYPkTh1nPhS27Wbtu13JR1+p8uK1mIPZ54wKW9nuBSFCBYb7sP4OQW4RsimWn/pxveuxGN11DWUfQ+xXX321KgITjGbOnOlRHByB/+pXv/I4bocDzz//vMTHhxZP0w4cQtUBUWF8Cb8R+iLD40ERuPvuuyUvL08FqNXfdoIqyE8mq4wgqjy6bL3UHzmmas89f5zEpyT5aUnop84880zDG/7Bgwdj2oE13gq7desWOhS3EuCQACMP+Hf99dcL3qYpJBAoAUy0mjZtmteHChrCQGkyvV8CeOrCW8G///1vmTdvnt+00XiyxbBoGyNNhKIH4vuZA/muW7dOTpxwzYgNpVy75r322mvtqhr1sphAUVGRLFiwwFjLa66OQ6NmGtwOmcCdd94ZchntVUBjXb2ULnRNuEjM6ixdxg2NSFPwBo2hPUyawdAyvnXhW6u/iNoRaRgrIQGHEOAboUM6mmq2TqBs8TfSqPkvheRfPEE6xEfu5zFo0CBjacDRo0dly5YtrTeYKUiABMJCIHK/9LA0l4WQgHUEDpsC8OZPD823aKCtxGQILKnQ3wK3bt0q5eXlgRbD9CRAAkEQoCEMAhqz2I/ASc1TTfmXrqUMqT01TylD+0ZcSSwWHzJkiFEvhkhPnjxp7HODBEjAGgI0hNZwZakxRqBUWzLR3NCoWm3V2sG2IMEHfXwzhMAnIpwEU0iABKwlQENoLV+WHiMEDs/7wmhp/sWBB+A1ModhA7NIMZsUgsjvBw4cCEOpLIIESMAXARpCX2R43DEEaovLpGLlZqVvxpAiSSsM/1q4QGCmpKS0WFKB9Zg1Na5JPIGUw7QkQAKnCcAFIBxWePst0RCe5sQthxJouXYwspNkfCEvKCiQwsJCdRr+O/G9EJE9KCRAAsER+PWvf62ivWCJkrvQELoT4b7jCBgBeDXPKHkXnhU1+mPijO5FBeGNtm3bFjVtY0NIINYIwHm5L6Eh9EWGxx1B4MSO/XJi216la5fxQyU5t0vU6J2QkKCWVMB1GWTz5s2CKPAUEiCB8BKgIQwvT5YWYwRaTJKJgEu1QPEgbiEW20MwNIohUitCHQXaLqYnATsRoCG0U29Sl4AJlHywROWJS0rUIlpEZ7y3M844QxDZHlJVVSUIUkshARIIjEBysu/YpTSEgbFkahsROLZ6i9QedH03yD5vlCSkp0WldhgahdcZDJVC9uzZI4cPuwIHR2WD2SgSiEICP/jBDwzPTe7NoyF0J8J9xxAoNq8djLBLtUAhp6amCkI26YKAz4hhSCEBEmgbgWuuuUa2b98uHTt29MhAQ+iBhAecQKBJ8yJTumCZUhVvgtkTR0S92t27d5eePXuqdtbX1wuMIYUESKDtBPr06SP65DNzLhpCMw1uO4ZA+dI1cvLYcaVv7gVnCb4RxoIMGzZMEKgWUlJSokI3xUK72UYSiGYCNITR3Dtsm2UEjLWDWg35MyZaVk+4C0bQY3wv1GXjxo1SWVmp7/IvCZBAEARoCIOAxiyxTaCxplaOLPpGKZGkrRvMHDUwphTKysqSAQMGqDY3NTWpJRXevGXElFJsLAm0IwEawnaEz6rbhwCi0DfV1qnK87W1gx3iYu9n0L9/f+nSxbX4H2+EeDOkkAAJBEcg9u4AwenJXCRgEDD7Fi2YER2+RY3GtXEDAXwxRIqAvpCdO3eqb4ZtzM5kJEACJgI0hCYY3LQ/gfqjlXL0q3VK0bQ+3SR9QO+YVRrTwIcPH260H7NIMZuUQgIk4EkAQa6feeYZr8GuaQg9efGIjQmUfLhUmhublIb5M86JeU179eol3bq5wkZhXSFCNlFIgAQ8CSD6xM033yx1da7PIuYUNIRmGty2PQHzsGj+9PYNwBsu2CNGjBDEMIQcOnRIeZ4JV9kshwTsQmDZMte6YW/60BB6o8JjtiRQc6BEKte6Qhl1HtFfUrvn2UJPRLMfNWqUocu6deuUT1LjADdIgAQEM6x9CQ2hLzI8bjsCZpdqeVEYaSIU4Lm5uQLn3BAspUCUCn8//FDqYl4SsBsBGkK79Sj18Umg+FSkiQ7xcZKneZOxmyBcU6dOnZRaiFuI+IUUEiCB1gnQELbOiClsQOD45l1SvfOA0iRrwghJynIZDBuoZqiAJRVjxowxPOwjoj0i21NIgASkxQxrdx40hO5EuG9LAi1cqtlsWNTcYRkZGTJ06FDjEIZIMW2cQgJOJ/C73/1OHnjgAcE3dXehIXQnwn3bEWjWPpJj2QQkLiVZcqac9tVpO2U1heBhPz8/X6lWU1Mja9eutaOa1IkEAiKQnp4uDz74IA1hQNSY2DYEjn2zSepKypU+uVPGSHyqa6mBbRT0osjIkSONH/z+/fsF/ygkQALeCbhCXns5h+GU8nLXzcPLaR5qA4GqqipJTk5uQ0omsZKAebYofIs6QXDdwRjqa6fWrFkjcNath3ByAgOn6Ij7jNmjEIbHEaWkNcE9/vhxVygypMWQId6a2iKYjGWelQy/t97i/LmXhREK/NMF16O+BlY/5u0v6kKdusC1YOfOnfVdv3+ho/nzAH4HHtLsJocPH27WEvFfmBhokcWbP/jgAzfK3I0Ugcb6k82fTfpx88Izv9v8+eTZzY0nGyJVdVTUoxnA5nfeeUf9++yzz7RR4qaoaBcb0XYCzz33XPOLL77okUFbJtN8+eWXe9yrNcPS/PLLL3ukNx947bXXmjUj5JH3kksuaW5o8P0bKS4ubh4yZIhHvoKCgmbte7S5Co/tu+66q1mb0NUir2bQmjWPLx5pzQe+/PLL5pycnBb5YKO0B71m7WXNnLTFtuZBpnnatGke+bQHhxbpsOPxjVA75mEseSB4Anj6+f3vfx98AcwZEoGyz1dKQ1W1KiPvwgkSl+ByUh1SoTGUWbtpGU/5GOHZunVrDLWeTQWBTZs2qX/uNJYvXy5vv/22+2GBq72HHnrI47j5wJw5c6S62vW7MB9/7733RDM85kMttl999VXZsGFDi2PY0V6g5PHHH/c4rh+oqKiQP/zhDy3eInEOa17RFvMbrZ5H//voo4/KkSNH9F3jL3zrvvHGG8a++8bChQvl448/dj8s3mychyH0yMUDIRNAVHFK+xBwymxRX3QxhIQlFfqw1ZYtW+To0aO+kvN4FBIoKioS/HMXTIryNZTZ2j3H13ltBEv69u3rXpWxb56RbBw8teHvHIZrCwsL3bOo/X79+hnfs70l8FcuHvR8CUKVeZsh6i29xzfCzMxMmTlzpgAU1iVRgieA7zLgiSchSuQJ4E2w7PNVquKUrjnSaUS/yDciCmrEt5TBgwerJ3k8DWNJxeTJkyUhwePnHwWtZRPcCeB7rx5uy3wuLy9PlixZot4KzY6kcfz66683J/XYfuGFF2TChAmiDXUa52A0Zs2aJd27dzeOuW9ccMEFon3qkS+++KLF2x2cOVxzzTXuyY192BJtaF7+9re/yYkTJ4zjMJA//OEPjX1vG/fff7/07t1bsC5WF5Q3ZcoUmTjR9zd/PDygne+//36Lb4Tevkl20H4YHAvV6Yb570svvaRe/WfPnh3mkllcWwgc+tci2fybZ1XS3td/S4puu6ot2WyZBj9z3DT1ISZErcBkGkr0E3j++eeVIfzxj38c/Y2N0RbylS9GO47Nbp2AE2eL+qKCoVE45tZnE+7du1dFqvCVnsdJwEkEaAid1NsO0rWu9KgcXb5RaZzev7d07NvDQdp7VxXffxCySRdMNsDECgoJOJ0ADaHTrwCb6l/y4RJtgrVr1D9/xiSbahm4Wvj+g2FRCNZWrVy50ussusBLZg4SiF0CNISx23dsuR8C5tmieRdP8JPSeacwEU5fWF9aWio7duxwHgRqTAImAjSEJhjctAeB6j2H5PimXUqZzNGDJCU/2x6KhUkLzBYdPXq0saQC69QqKyvDVDqLIYHYI0BDGHt9xha3QqDFJBkOi3qlBTdTAwYMUOfgvmrFihVqhrPXxDxIAjYnQENo8w52onrF812eMTpoXmRyp41zIoI26YwFx/ARCYE/xo0bXZOL2pSZiUjARgRoCG3UmVRFpGLdNqnZ51oknD1ppCR2apsTYSeyw5IKDJHqC+t37twpJSUlTkRBnR1OgIbQ4ReA3dQvma/NFj0l+TN8e53Q0zj9b8eOHVtE7sYsUrOXEqfzof7OIEBD6Ix+doSWzY1NUnwqAG98x1TJPneUI/QOVcmePXtKt27dVDEwgqtXrw61SOYngZgiQEMYU93FxvojUL5snZwsr1BJcqeOlfjkJH/Jec5E4MwzzzTiwiGSwO7du01nuUkC9iZAQ2jv/nWUdvokGSjNRfSBdT1cr+F7oS7r169vEbRVP86/JGBHAjSEduxVB+rUWFsvRxYuV5onZXeWLmN9h2dxIJ42qawFPxWExIEgThyiVJijkLepECYigRgkQEMYg53GJnsSOLL4G2msdvnNzLvobOkQz0vbk1LrRwYOHCgI2wRBMNXNmze3nokpSCDGCfBuEeMdyOa7CLRcRM/ZosFeF4jzhiFSPf4dYsDpoZuCLZP5SCDaCdAQRnsPsX2tEjhZUSXlS9aodKm9CqTTEN8RtlstjAkEwVLNUcGxpAIOuikkYFcCNIR27VkH6VWy4CtpbmhUGudP59tgOLq+sLBQCgoKVFE1NTWyZo3rQSMcZbMMEog2AjSE0dYjbE/ABFoMi9IQBszPVwYsqUhOTlanDxw4IPv27fOVlMdJIKYJ0BDGdPex8bWHjkjFqi0KRIY2JJrWuyuhhIkAjODIkSON0tauXSvV1dXGPjdIwC4EaAjt0pMO1aP4A7pUs7Lr8/PzpaioSFXR0NCgllQ0nwp4bGW9LJsEIkmAhjCStFlX2AkYw6JxHSTvQgbgDTtgrcDBgwerCTQou7y8XLZu3WpFNSyTBNqNAA1hu6FnxaESqNq+T05o/yBdxg2V5JzMUItkfi8EsJQCSyqwtAKyZcsWZRC9JOUhEohJAjSEMdltbDQIGG+D2nYBA/BaelFgkf2gQYNUHRgahdcZDJVSSMAOBGgI7dCLDtQBN2P9+2BccqLkaE62KdYS6Nu3r+Tm5qpKMGlm3bp11lbI0kkgQgRoCCMEmtWEl0DF6i1Sp80YhWSfqwWX1cIuUawlgEC+mEUKB92QvXv3ysGDB62tlKWTQAQI0BBGADKrCD+B4nlfGoUWMACvwcLqjdTUVMH6Ql0QuxAL7ikkEMsEaAhjufcc2vYmzYsMvMlAEjI6StbE0zdmhyKJqNoI4turVy9VJ1yvwQUbl1REtAtYWZgJ0BCGGSiLs57AseUbpEHzLwrJu2C8xCUmWF8pa2hBYNiwYdKxY0d1DE65d+zY0eI8d0gglgjQEMZSb7GtikDpx8sMEgzAa6CI6EZCQoJaUoHvhpCNGzeqsE0RbQQrI4EwEaAhDBNIFhM5AmWnIk0k52dJ51EDI1cxa2pBoEuXLjJgwAB1TF9SgYC+Vgi+Rb755pvq3549e6yogmU6mAANoYM730rVP/roI8uKb9Ki0UPyL54o+huJZZWxYL8E+vfvL1lZWSrN8ePHLQvk++CDD8qJEyfUP65f9NslPBkEARrCIKAxi28CuEnNmTNHbrnlFt+JwnQmn7NFw0Qy+GLwIAKvMxgqhWBJhRWCdYswuGeffbZgPSOFBMJJgLMMwknTraympiapq6uzrcf+lJQUw+2Wrjri1sEDidU3q7SiHpLev7deLf+2I4G0tDQZMWKE8jZjRTPwJoiJORh+vfvuu+XWW2+V888/v0VV+K3V1ta2OGaXHdxD8FujWEeAhtA6tnL48GF544035O2337awlvYreu7cuTJu3LgWDcDbAf4999xzLY6He6dg5qRwF8nyQiDQo0cPdb2XlpaGUIr3rDACL7/8sqSnpwuWbmDb3RCuWLFC7r33Xu8FxPhRzMq98sorY1yL6G5+B+0pqzm6m8jWxSKBiy66SD788ENLmr79T69I4U3fkYQ0PiVbAjjIQrGmEA65hw4dGmQJ3rNVVlbKFVdcoQzgI488Iueee67MmjXLe2IeJYEgCNAQBgGNWVonYKUhbL12prAbAQy5Y2TlkksukTFjxthNPerTzgRoCNu5A+xa/SuvvCLXXnutXdWjXiRAAjYiQENoo86kKiRAAiRAAoET4PKJwJkxBwmQAAmQgI0I0BDaqDOpCgmQAAmQQOAEaAgDZ8YcJEACJEACNiJAQ2ijzqQqJEACJEACgROgIQycGXOQAAmQAAnYiAANoY06k6qQAAmQAAkEToCGMHBmzEECJEACJGAjAjSENupMqkICJEACJBA4ARrCwJkxBwmQAAmQgI0I0BDaqDOpCgmQAAmQQOAEaAgDZ8YcJEACJEACNiJAQ2ijzqQqJEACJEACgROgIQycGXOQAAmQAAnYiAANoY06k6qQAAmQAAkEToCGMHBmzEECJEACJGAjAjSENupMqkICJEACJBA4ARrCwJkxBwmQAAmQgI0I0BDaqDOpCgmQAAmQQOAEaAgDZ8YcJEACJEACNiJAQ2ijzqQqJEACJEACgROgIQycGXOQAAmQAAnYiAANoY06k6qQAAmQAAkEToCGMHBmzEECJEACJGAjAjSENupMqkICJEACJBA4ARrCwJkxBwmQAAmQgI0I0BDaqDOpCgmQAAmQQOAEaAgDZ8YcJEACJEACNiJAQ2ijzqQqJEACJEACgROgIQycGXOQAAmQAAnYiAANoY06k6qQAAmQAAkEToCGMHBmzEECJEACJGAjAjSENupMqkICJEACJBA4ARrCwJkxBwmQAAmQgI0I0BDaqDOpCgmQAAmQQOAEaAgDZ8YcJEACJEACNiJAQ2ijzqQqJEACJEACgROgIQycGXOQAAmQAAnYiAANoY06k6qQAAmQAAkEToCGMHBmzEECJEACJGAjAjSENupMqkICJEACJBA4ARrCwJkxBwmQAAmQgI0I0BDaqDOpCgmQAAmQQOAEaAgDZ8YcJEACJEACNiJAQ2ijzqQqJEACJEACgROgIQycGXOQAAmQAAnYiAANoY06k6qQAAmQAAkEToCGMHBmzEECJEACJGAjAjSENupMqkICJEACJBA4ARrCwJkxBwmQAAmQgI0I0BDaqDOpCgmQAAmQQOAEaAgDZ8YcJEACJEACNiJAQ2ijzqQqJEACJEACgROgIQycGXOQAAmQAAnYiAANoY06k6qQAAmQAAkEToCGMHBmzEECJEACJGAjAjSENupMqkICJEACJBA4ARrCwJkxBwmQAAmQgI0I0BDaqDOpCgmQAAmQQOAEaAgDZ8YcJEACJEACNiJAQ2ijzqQqJEACJEACgROgIQycGXOQAAmQAAnYiAANoY06k6qQAAmQAAkEToCGMHBmzEECJEACJGAjAjSENupMqkICJEACJBA4ARrCwJkxBwmQAAmQgI0I0BDaqDOpCgmQAAmQQOAEaAgDZ8YcJEACJEACNiJAQ2ijzqQqJEACJEACgROgIQycGXOQAAmQAAnYiAANoY06k6qQAAmQAAkEToCGMHBmzEECJEACJGAjAjSENupMqkICJEACJBA4ARrCwJkxBwmQAAmQgI0I0BDaqDOpCgmQAAmQQOAEaAgDZ8YcJEACJEACNiJAQ2ijzqQqJEACJEACgROgIQycGXOQAAmQAAnYiAANoY06k6qQAAmQAAkEToCGMHBmzEECJEACJGAjAjSENupMqkICJEACJBA4ARrCwJkxBwmQAAmQgI0I0BDaqDOpCgmQAAmQQOAEEtyz7N27VyoqKiQtLc39lCX7xcXFkp+fb0nZ7oU2NTVJWVmZ5Obmup+yZL+qqkqVm56ebkn57oWWlpZKdna2xMVF5vkG18moUaPcm8F9Eog4gZUrV0rnzp0jUi/vI+HFHEkbUF1dra6TXr16tVCiQ7Mm5iM33XSTbNiwQQoLC82HLdv+6KOP5Pzzz5f4+HjL6tALrqurky+//FKmTp2qH7L07/bt2wV4+/XrZ2k9euGffvqpTJgwQVJSUvRDlv3FzeCLL76QPXv2WFYHCyaBthLo3bu3TJo0KSIPgbW1tbJ06VKZMmVKW5sXUrpt27ZJhw4d5IwzzgipnLZmXrhwoUycOFGSk5PbmiXodI2NjfLJJ5/IhRdeGHQZgWTcvXu3DBkyRJ555pmW2WAIzfLoo482/+Mf/zAfsnT73HPPbdYMlKV16IWXl5c3T58+Xd+1/O+LL77Y/Nxzz1lej17BpZde2lxSUqLvWvq3oaGhWfuxWFoHCyeBthLAtYhrMhKC3xh+a5ES3ENwL4mU4B6Je2UkBPd+2IBICWwbbJy7RGYMraXt5R4JkAAJkAAJRA0BGsKo6Qo2hARIgARIoD0I0BC2B3XWSQIkQAIkEDUEPGaNDh8+PGKzr0Bh1qxZEZkog7rw8XfmzJnYjIgMHDhQTZaJSGVaJdrYvqSmpkakOsxM/da3vhWRulgJCbRGANdipGZL4zeG31qkZPDgwWqyTKTqwz0yEhNloA8mScIGREow4cjbqgGPWaORahDrIQESIAESIIFoIMCh0WjoBbaBBEiABEig3QjQELYbelZMAiRAAiQQDQRoCKOhF9gGEiABEiCBdiNAQ9hu6FkxCZAACZBANBCgIYyGXmAbSIAESIAE2o1A/OzZs38zb948ycnJEXfn0G+//bZs3LhRtmzZIoMGDQq5kZpbG1myZInyZdqnT58W053r6+vl/fffl4MHDwrOhUs0V0Gqvm7durUocvXq1crv6KZNm6Rjx46SmZnZ4nywO5s3bxbdsau5jPXr18uCBQuUD9dwTU3+7LPPZMWKFTJgwIAWLOEMGyyhm+YOKix+Y/31D+p755131FKRSDlQN7PltvMI+Lr2/V2nwVLyd33b4T4CLvD53Ldv3xaIrLiPwN/zhx9+KLgv9+jRw6O+cN9HDhw4IG2xb3E33HCDWlfx/e9/X0Vm0Fu2f/9+efbZZ+XEiRPqn348lL9//OMflSE8fvy4oF6z3HXXXQrOG2+8Ia+//rr5VNDbcLCKNSowQO7y4IMPGrppPgrdTwe1/9VXX8mMGTMExtAsq1atkjlz5khCQoJcd9115lNBb//1r3+VDz74QNDR9913X4ty4HwbOqPvampqWpwLdsdX/+DhBjrBuKMdeHCikICVBPxd+76u02Db09r1Hev3Edz7cG+65ZZbPBBZcR/RXrwExhCOtjWfn0adrXE2EgawgagWbbVvcU899ZSK/jB69GjBDVsXbI8fP14yMjLk29/+tn44pL+IjHDnnXfKFVdcod5WzIUhUsOPfvQjefjhh0VzjGo+FfQ2njzcDa5eGN7asrKy5Oyzz/Z4EtLTBPoXFw4eKNzlzTfflP/6r/+Sq666SkWGQLikUAVPTg899JD89Kc/FYSgMQueUqFXXl6eXHTRReZTQW/76p99+/ZJQUGBXH755apvMYpAIQErCfi79n1dp8G2p7XrO9bvI2vWrFGjfe5vg+BlxX0EhhD3/6uvvlq9FOn90hpnPV0gf2Hk22rf4oqKigTDDOvWrWsRVgRvEwiRgZAjuJnCYocqCJMCueOOOwThnnTBEwLCjEAwPIs3xnDIjTfeKAjP4i7QDcOh0Onuu+9WTyfuaYLZv/fee6VTp04eWfF2rXszwBB0OAwhdMAbJsRb3+D8zp07vRpmjwa2csBf/1ihWyvN4WmHE/B17fu7ToNF5u/6tsN9BC9A/l50wnkfQR+cc845aqTq9ttvF7y96+KPs54m0L/du3eXttq3BIwNP/3002o40hwT8JJLLpErr7xSucBZtGiReoODq59QBIYVBhBvmuYhQgyr6cOTGOMP1/c6X21FvL6XX35ZGV18O8Q2YiJaJdBHN+6VlZVhCURs7iv3IMo/+9nPDDd5eLtG7MBQ3E/56x+zbtARb6EUErCSgK9r3991Gmx7/F3fdriP+OMS7vsI6jp27Jh873vfUyNk48aNM6r3x9lIFMRGW+1b3C9/+UvVqK1bt8rRo0cFQSARbBU30EceeUS9VWCyDCZkhCp4+8KNElHN8doN+fjjj9VfgFi2bJkyytOmTVPHwv3fkSNHBEMBeMqBb0JMzPn73/9uWaBeneUFF1ygvrci4DHagCjyoQqGPvGtBMOxXbt2VcXpLPFmigtg+fLlahJUKEZQb6d7/+DBBQ9I/fv3V6MJuEa0mGmWPlDobeFfZxPwd+27X6ehkvJ2fdvpPuKNj5X3ke985zvqBQsjcrg/WnkfWbt2rbTVvqlZoxhXx40Ms3hgsfHmhojBmIgB4/T73/9e3N86vAFs7RiGX1E26sKwHV6T8R1v7NixyoktZjqiHnzX04dKWyuzLee7dOkivXr1UjMod+3aJUOHDpURI0bIq6++qoYFwhmxHu3u2bOn+v6IhwvoCz3hqBezl2Ck8GMNVTDMjAsJM0Px/RFPpzpLnFu8eLGa/PTb3/42LE7N4WTY3D/QC4ZwzJgx6lrBA8V5551n2UNFqLyY3z4E/F377tdpqPcRPETiXmi+vjET2y73Ef2qACcEXIBYdR/BiBFsCmwMbAD2cS+26j6CiXtJSUnSFvtGp9v6lcC/JEACJEACjiTABfWO7HYqTQIkQAIkoBOgIdRJ8C8JkAAJkIAjCdAQOrLbqTQJkAAJkIBOgIZQJ8G/JEACJEACjiRAQ+jIbqfSJEACJEACOoH/Dwmiger6rCZ0AAAAAElFTkSuQmCC" /><!-- --></p>
<div class="sourceCode" id="cb167"><pre class="sourceCode r"><code class="sourceCode r"><span id="cb167-1"><a href="#cb167-1" tabindex="-1"></a><span class="co"># And here is the tanglegram for one sample of our trees:</span></span>
<span id="cb167-2"><a href="#cb167-2" tabindex="-1"></a>dend_mixed1 <span class="ot">&lt;-</span> <span class="fu">rank_order.dendrogram</span>(dend_mixed1)</span>
<span id="cb167-3"><a href="#cb167-3" tabindex="-1"></a>dend_mixed2 <span class="ot">&lt;-</span> <span class="fu">rank_order.dendrogram</span>(dend_mixed2)</span>
<span id="cb167-4"><a href="#cb167-4" tabindex="-1"></a>dend_mixed1 <span class="ot">&lt;-</span> <span class="fu">fix_members_attr.dendrogram</span>(dend_mixed1)</span>
<span id="cb167-5"><a href="#cb167-5" tabindex="-1"></a>dend_mixed2 <span class="ot">&lt;-</span> <span class="fu">fix_members_attr.dendrogram</span>(dend_mixed2)</span>
<span id="cb167-6"><a href="#cb167-6" tabindex="-1"></a><span class="fu">tanglegram</span>(dend_mixed1, dend_mixed2)</span></code></pre></div>
<p><img role="img" 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" /><!-- --></p>
<div class="sourceCode" id="cb168"><pre class="sourceCode r"><code class="sourceCode r"><span id="cb168-1"><a href="#cb168-1" tabindex="-1"></a><span class="fu">cor_bakers_gamma</span>(dend_mixed1, dend_mixed2, <span class="at">warn =</span> <span class="cn">FALSE</span>)</span></code></pre></div>
<pre><code>#&gt; [1] 1</code></pre>
<div class="sourceCode" id="cb170"><pre class="sourceCode r"><code class="sourceCode r"><span id="cb170-1"><a href="#cb170-1" tabindex="-1"></a>CI95 <span class="ot">&lt;-</span> <span class="fu">quantile</span>(cor_bakers_gamma_results, <span class="at">probs=</span><span class="fu">c</span>(.<span class="dv">025</span>,.<span class="dv">975</span>))</span>
<span id="cb170-2"><a href="#cb170-2" tabindex="-1"></a>CI95</span></code></pre></div>
<pre><code>#&gt; 2.5% 97.5%
#&gt; 0.2751938 1.0000000</code></pre>
<div class="sourceCode" id="cb172"><pre class="sourceCode r"><code class="sourceCode r"><span id="cb172-1"><a href="#cb172-1" tabindex="-1"></a><span class="fu">par</span>(<span class="at">mfrow =</span> <span class="fu">c</span>(<span class="dv">1</span>,<span class="dv">1</span>))</span>
<span id="cb172-2"><a href="#cb172-2" tabindex="-1"></a><span class="fu">plot</span>(<span class="fu">density</span>(cor_bakers_gamma_results),</span>
<span id="cb172-3"><a href="#cb172-3" tabindex="-1"></a> <span class="at">main =</span> <span class="st">&quot;Baker&#39;s gamma bootstrap distribution&quot;</span>,</span>
<span id="cb172-4"><a href="#cb172-4" tabindex="-1"></a> <span class="at">xlim =</span> <span class="fu">c</span>(<span class="sc">-</span><span class="dv">1</span>,<span class="dv">1</span>))</span>
<span id="cb172-5"><a href="#cb172-5" tabindex="-1"></a><span class="fu">abline</span>(<span class="at">v =</span> CI95, <span class="at">lty =</span> <span class="dv">2</span>, <span class="at">col =</span> <span class="dv">3</span>)</span>
<span id="cb172-6"><a href="#cb172-6" tabindex="-1"></a><span class="fu">abline</span>(<span class="at">v =</span> <span class="fu">cor_bakers_gamma</span>(dend1, dend2), <span class="at">lty =</span> <span class="dv">2</span>, <span class="at">col =</span> <span class="dv">2</span>)</span>
<span id="cb172-7"><a href="#cb172-7" tabindex="-1"></a><span class="fu">legend</span>(<span class="st">&quot;topleft&quot;</span>, <span class="at">legend =</span><span class="fu">c</span>(<span class="st">&quot;95% CI&quot;</span>, <span class="st">&quot;Baker&#39;s Gamma Index&quot;</span>), <span class="at">fill =</span> <span class="fu">c</span>(<span class="dv">3</span>,<span class="dv">2</span>))</span></code></pre></div>
<p><img role="img" src="data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAcIAAAHCCAYAAAB8GMlFAAAEDmlDQ1BrQ0dDb2xvclNwYWNlR2VuZXJpY1JHQgAAOI2NVV1oHFUUPpu5syskzoPUpqaSDv41lLRsUtGE2uj+ZbNt3CyTbLRBkMns3Z1pJjPj/KRpKT4UQRDBqOCT4P9bwSchaqvtiy2itFCiBIMo+ND6R6HSFwnruTOzu5O4a73L3PnmnO9+595z7t4LkLgsW5beJQIsGq4t5dPis8fmxMQ6dMF90A190C0rjpUqlSYBG+PCv9rt7yDG3tf2t/f/Z+uuUEcBiN2F2Kw4yiLiZQD+FcWyXYAEQfvICddi+AnEO2ycIOISw7UAVxieD/Cyz5mRMohfRSwoqoz+xNuIB+cj9loEB3Pw2448NaitKSLLRck2q5pOI9O9g/t/tkXda8Tbg0+PszB9FN8DuPaXKnKW4YcQn1Xk3HSIry5ps8UQ/2W5aQnxIwBdu7yFcgrxPsRjVXu8HOh0qao30cArp9SZZxDfg3h1wTzKxu5E/LUxX5wKdX5SnAzmDx4A4OIqLbB69yMesE1pKojLjVdoNsfyiPi45hZmAn3uLWdpOtfQOaVmikEs7ovj8hFWpz7EV6mel0L9Xy23FMYlPYZenAx0yDB1/PX6dledmQjikjkXCxqMJS9WtfFCyH9XtSekEF+2dH+P4tzITduTygGfv58a5VCTH5PtXD7EFZiNyUDBhHnsFTBgE0SQIA9pfFtgo6cKGuhooeilaKH41eDs38Ip+f4At1Rq/sjr6NEwQqb/I/DQqsLvaFUjvAx+eWirddAJZnAj1DFJL0mSg/gcIpPkMBkhoyCSJ8lTZIxk0TpKDjXHliJzZPO50dR5ASNSnzeLvIvod0HG/mdkmOC0z8VKnzcQ2M/Yz2vKldduXjp9bleLu0ZWn7vWc+l0JGcaai10yNrUnXLP/8Jf59ewX+c3Wgz+B34Df+vbVrc16zTMVgp9um9bxEfzPU5kPqUtVWxhs6OiWTVW+gIfywB9uXi7CGcGW/zk98k/kmvJ95IfJn/j3uQ+4c5zn3Kfcd+AyF3gLnJfcl9xH3OfR2rUee80a+6vo7EK5mmXUdyfQlrYLTwoZIU9wsPCZEtP6BWGhAlhL3p2N6sTjRdduwbHsG9kq32sgBepc+xurLPW4T9URpYGJ3ym4+8zA05u44QjST8ZIoVtu3qE7fWmdn5LPdqvgcZz8Ww8BWJ8X3w0PhQ/wnCDGd+LvlHs8dRy6bLLDuKMaZ20tZrqisPJ5ONiCq8yKhYM5cCgKOu66Lsc0aYOtZdo5QCwezI4wm9J/v0X23mlZXOfBjj8Jzv3WrY5D+CsA9D7aMs2gGfjve8ArD6mePZSeCfEYt8CONWDw8FXTxrPqx/r9Vt4biXeANh8vV7/+/16ffMD1N8AuKD/A/8leAvFY9bLAAAAOGVYSWZNTQAqAAAACAABh2kABAAAAAEAAAAaAAAAAAACoAIABAAAAAEAAAHCoAMABAAAAAEAAAHCAAAAAOQBvRMAAEAASURBVHgB7Z0HeBXFFsdPILmhSRJ6DEgTEBAVBQuggqCi2EBBEBRR7AXFhth5NlDRJ4ooNmxYAAHBJ1gARVB8FhSkE6UTgggYetg3//Ht9eb2TW7Zvfuf77u5e2dnp/xms2fPmTMzaYYKwkACJEACJEACLiVQzqXtZrNJgARIgARIQBOgIOSNQAIkQAIk4GoCFISu7n42ngRIgARIgIKQ9wAJkAAJkICrCVAQurr72XgSIAESIAEKQt4DJEACJEACriZAQejq7mfjSYAESIAEKAh5D5AACZAACbiaAAWhq7ufjScBEiABEqAg5D1AAiRAAiTgagIUhK7ufjaeBEiABEiAgpD3AAmQAAmQgKsJUBC6uvvZeBIgARIgAQpC3gMkQAIkQAKuJkBB6OruZ+NJgARIgAQoCHkPkAAJkAAJuJoABaGru5+NJwESIAESoCDkPUACJEACJOBqAhSEru5+Np4ESIAESICCkPcACZAACZCAqwlQELq6+9l4EiABEiABCkLeAyRAAiRAAq4mQEHo6u5n40mABEiABCgIeQ+QAAmQAAm4mgAFoau7n40nARIgARKgIHTAPTB37lxJS0sr8cnMzJSaNWvKhRdeKPn5+ZZaYea1fft2S9dFSlyuXDldxzlz5kRK6srzBw8e9PZhUVFRQhjs2LFDHnvsMctlvf3227J48WLL18Xrgvvuu0+zu+OOO3QRs2bN0r+PO+44S0VG264aNWro/FevXi2x7rdffvlF3nnnHW+9r7vuOl3W8OHDvXE8SCwBCsLE8i5TaRA0TZs21Z+8vDzZtm2bTJo0Sc4+++wy5RuriyFgGexDYMOGDdKkSRN59tlnLVUKL1f9+vXT95elCxOYGPdaenq6/kRbrJV2mXnH+p5+6623pHXr1vLNN994q12+fHndDvx/MySHQHpyimWppSGQlZUly5Yt8176008/ybHHHitLly6VVatWSePGjb3nknFQt25dWbNmjeTm5iajeJbpRwAaf0FBgdSpU8fvTPify5cvD5/ABmc7duwo+/fvt1QTK+3atGmTN29ohLEK0DCLi4tLZPfcc88JPgzJI8BXkOSxL3PJzZo1k4oVKwreKHNycrz5TZw4Uc4//3yBeeewww6Ts846SwtLbwKfg927d8t5550nRx11lMD8ZIZXXnlFjjzySDnkkEPk+OOPl2nTppmn5JNPPtHpH374Ybnooou0iXbUqFE6LiMjQxo1aqTTzpw5U1+LPCDE27VrJ/PmzfPmE+zghRde0Bov6j5gwADBGzTq9vTTT3uTh2vfn3/+qdOjXkiHa5HXlVdeKTt37pTrr79eatWqJS1bttR5m5kOHDhQp4XJrWvXrpKdnS3t27cXPDzffPNNad68uRYo11xzTYkHWbi6mHkH+54xY4YcffTRuhz0Dx6QvuHnn3+Wvn37Cl4uDj30UOnZs6f8/vvvvkkkXBoIwAsuuECnLyws9LYNEQ8++KDuowoVKkjt2rWlT58+AhMqwmWXXSYrVqzQx/3795e7775bmwbBsXPnzjJmzBjd36YVIlL78aIGjl9++aXuf3BFe/3bogv0+fP888/r+6B69epy+eWXe+tnJlmwYIFuU+/evc2omLbrlFNO0fmvW7fOmz8OwvXbPffco68ZP36895oHHnhAx+E+xgftQoBp1DTr4v8IfF999VXvdfi/vP3227X2aP7vTJ8+3Xt+/vz5+pqhQ4fKiy++qO/natWqycUXXyxbt271puNBlAQMBtsT+OqrrwzVnYZ6cBnqH8u4//77DfUPYKh/JB0/aNAgbxuUxqjTqX8eQz0kDPWw1WmUcPKmQV74/PHHH0aPHj30cadOnQz1z6fTqIedjqtUqZJx7rnnGpUrV9a///Of/+jz6h9d/1ZC2FAmJAPppk6dauzdu9fYtWuXToO81EPWUELHuOGGGwz1UDWU6cdQJl1drrcyPgdvvPGGzhd1Uw9dQ2kyOm/8vvPOO3XKSO1TD32dhxpDNdRD1FAPBkO9JOg49RA21MuDobQJ/Rt1VwJI54v2oxy0pVu3boZ6MHmvAUslVDRXpHnqqaeiqotP0/Sh0gR0nsgDLLp06aIZ4Xf9+vW9/BctWmQo4a3TIh4MkQb1X7t2rc4rUprNmzcbhx9+uL4O7VSC3/jiiy8M9SDXcW3atDHUg9ZQQkr/VsJG56uErwF2KK9hw4bGXXfdZZj19ng8hnrpMsDj0ksvNSL1BTJE2fjgXsH9qh7W3rz37Nmjy/T/8/rrr+s0qMNpp52m7wNlotRxqDMC2oLzStDq37FsFzLEvYP8laXF2378DtdvYII06qVQ1wl/rrjiCh2nXuQM3N9mX4LDMccco9Nde+21Os3jjz+uf4PL6aefruPATb2Q6mPkrYSlTqNeMnUc+gL/J7169dL3B9LceOONOg3/RE9Aok/KlMkiYApC3OT+n6pVqxo4bwalweh/RDwoENTbof7nxXUQVAhmHkrj0sd4KCqNQJ/DH/Of9fPPP9dxEIC4Bg9NBFMQ4gGnHCqMv/76y1BmKn3O/GNeg4fft99+qx8mH3/8saEcf7zC0kxrfrdq1UqXo5w7dBQeCBCcKNsUhJHaZwpCXPPZZ5/pfJQTgs4DDzelMeq4tm3b6riPPvpI/zYFodL49G8ISJOTGofVcSNGjNBxSmvSvyPVRSfy+WMKFOT7xBNP6DN4YTAfukrz1HFKQ9flKC1Vc0Wac845R8fhYYsQTZpff/1VX4MHpRnMB/NNN91kKK1MC1+lnRgQrGYwH7zmfeVb73/961+GMhUayuxqRNN+3CNor9KWdPa4z1AfxEEwBAvmffDII4/o0+ZLFa4JJQhj2S4UavaJvyAM12+RBCHyfeihh3Tbwd8M/oJQaY46TYMGDQyl2etkL730ko7DyxB4mIIQLy3KWU6nefnll3Ua8//UzJ/fkQnQNKr+u5wSqlSpok2U6uGtzX7qQaHNdDDjwFyJAOcI9dDUZjOYR+FcY45xKEFYoqmvvfaa/g0THcyXCBgbgVkN4YMPPhD1DyuTJ0/WvxcuXKi/zT8wL7Zo0UKUxhjgtACzD8xu33//vZxwwgmiHiyiHny6vjDn+gd1q2ozJOKVRqZPwzP2jDPOKJHUSvtg0kWAdy0C6qreoPUx6oYAU6pv8L8G50466SSdxLwGTkoIVuqiL/D5A3M0AsyTp556qj7G+C/6CmZEBPVw11yRBiZLBJiWo0mjEwf5Y5o0YcpW2qY2r/3www8lTOtBLvNGwfQGBxL1Amap/TDtIuA+U5qwPlaCWn/7/vG9D3D/Ivgy8k3rexzLdvnm638cqt/805m/0R6rAeZ5BJi2zXsXzkv4v8H9umTJEm+WSusXJTD1b3NIAkMADNYIUBBa45XU1Bh/g5CAoFMmTcH4AMbR8M9mumN/+umnejwL4xX4x1FajOA6BH+vNIw/4R8NAvHHH3/UafCQwwdp4XWoTHFaOOKhhDGiffv26XT4A+EWKiBfeMbdcsst2okH/8Dvvvuufugr7SPoZaYwVpqg97y/Q0S07VOaiFe4m+32ra8Z5y3o/wcYZ0HwPY8xRv84/I62Lvpivz++D0iz3Wac+eICYWMGvAQhmPyjSWNe6/sNz0mM3eL+wXgdxgOffPJJr3DyTRvs2OSDc1bar7RKb3bK/KyPDxw44I0zD9Aus20Y+zaD2X7zt/93LNvln7fvb7OPEOffb2Y633b5v3yaacJ9m+337X/8D+PFEMG8B3BsssQx7nmG0hGgICwdN1tcBYFhamlq/EbXCd5niFfjWFrw4IHnL0zMymPw/UHlOIF/PDXOqKOh9aixCx2nxiK1NogBfrwJ33vvvWKWg8S+x2ae5jfeWvHAhfBcuXKlnuuoxhv1aczl8g8QvqamYGqgagxTlIm1RFIr7StxofqBMmIZylIXU+tDfZQZW1cLb/cQwKZWiqkxZjCZwPkkmjS4znwwmg9WxKFP4GQD4QenCsxRVaZwrWVAM0QwBZDvdfqE+uPb51baj3LNMHv2bH0Ijdo/oGxTs/GdYgChGy7Esl3hygnVb7gGLxYIprMKhCY8un1DOLZmOtMCMWXKFO9LAZjhZRL8YYkxQ6zvaTNft33zFcJBPQ7PPsxBQsAb9vr16wXCAv9cpunsiCOOEOW4IhA20Ah9PdHgTg8zphlgGoO5EGYyNR6kTaEwYUHjhIZ4ySWXaPMc/iHhpQYPODWeaF4eVrDgrfjmm2/WZq0hQ4ZoU5rpjajGgLx5+B50795dC+9HH31U1Hii1lb8H8aR2me+NfvmG6/jSHXxZe1bBwiywYMH66kw4A6tG8IInq4IytlB8OADbwgDNQarzaXQCtQYXdRpTI0CXqNXXXWVvke+++47/UID7fzqq6/WWj9MvdBuGvzfxGaaj2F6/+9//6u1el2o+uOrKVtpP16iMEEf03zU2KL25IWZNVhA+2GShzUB5lM11qvrGSytGRfLdpl5+n9H6jf8LyGMHj1a/++hTuaLqpmXyRYvocqxTNS4nnnK+40XRrwM4Fp4K+PFCMMUCOAYSTv2ZsSD6AmotxYGmxOA04Lq0RIfOCHAm7NDhw6G6cyBZqh5fNobUQlH7SQDb0B4J+L6CRMm6Jaaeak3TP0bHp+IU4JRD8Qr04v29FSCVMcrM6ehHqSGEm46vekso9zg9e9Qf5QwNtSUCUM9wHU+qC+cBcIFpWVoz06lmRrwhoWTDOqmhIK+LFL7TGcZ8DHD6//3QlSC1ozyOpuYDiqms8yHH36o06iVX3S5KNt0BEJa/IYnLUKkuuhEPn9MpxM1z9KAY4MSPjo/JYAM9aLhk9IwlAaoPT3VG79Oox6IhtJGLKeBtyvqjHzgcIE+VC8oXo9SnFOamdexCAWMGzdOe4finBqjLeE1CccoM0TTfvQD8oGTCTxycaym9Bhff/21mU3AN+qoXhS0tynSKw3JgEcljkM5y8SyXahQMGeZSP0G5y7cG2CN/z+wh3c36g2vUYTffvvNUNNhdBwcXeDd6+8sg3Rq2ob2HDX/B9VLjQFnLdxDCEoD1nkoIal/4w/uD5QFj2cGawTSkFzBY0gxAjDPwMkglFYSTXOhjWEeVb169cJqf5HygkaD+mBM0jQNBbvm/fff1+XANGuazdRDQs+TGjt2rGCunxli0T4zr7J+l7Yu6uEtGzdu1HxD1QEaP/5Ffcc3/dNGSgPLATQ+U0M0r0fZ0DLNMVAzHt9wuIAFAX0WKYRrP/JHO6GVonw4Y+F+iiZAY0I9TCelaK5Bmli1K1R5kfoN/QGztD9vMz9cj/8rsEW6cAHjgSYzmkHDkSrbOQrCsvHj1TEkAFMdBB4efJj4jgeK0mK0cwDGtUzTUwyLZFZxJuArCMMJ8zhXg9mTQFgCFIRh8fBkIglAs8AKMJgeYo4NQigqs5goE28iq8KyYkQADiRw1sI4qK/HaYyyZzYkEBMCFIQxwchMYknANAfBKYAPz1iSZV4kQALBCFAQBqPCOBIgARIgAdcQ4DxC13Q1G0oCJEACJBCMAAVhMCqMIwESIAEScA0BCkLXdDUbSgIkQAIkEIwABWEwKowjARIgARJwDQEKQtd0NRtKAiRAAiQQjAAFYTAqjCMBEiABEnANAQpC13Q1G0oCJEACJBCMAAVhMCqMIwESIAEScA0BCkLXdDUbSgIkQAIkEIwABWEwKowjARIgARJwDQEKQtd0NRtKAiRAAiQQjAAFYTAqjCMBEiABEnANAQpC13Q1G0oCJEACJBCMAAVhMCqMIwESIAEScA0BCkLXdDUbSgIkQAIkEIwABWEwKowjARIgARJwDQEKQtd0NRtKAiRAAiQQjAAFYTAqjCMBEiABEnANAQpC13Q1G0oCJEACJBCMQHqwyFSPO/HEE6VixYqp3ky2z6YEioqK5ODBg5KRkWHTGsa3Wg1reSS/YF98C2HuSSGQpm7p8tkiB7ZYKz4tLU3mzZtn7aIYpnalIIQQnDVrVgwxMisSiJ7AY489Ji1btpTzzjsv+otSKOXs/pdKxylvplCL2BSTwJrd+TJt0/tyfcO7zKiovk866aSo0sUrEU2j8SLLfEmABEiABBxBgILQEd3ESpIACZAACcSLAAVhvMgyXxIggaAEmg0bEjSekc4nkJuZJ33yBjquIRSEjusyVpgEnE0gt35LZzeAtQ9JIKOcR3I81UOet+sJCkK79gzrRQIkQAIkkBACFIQJwcxCSIAESIAE7EqAgtCuPcN6kUCKEpg1cmiKtozN2rqvQGYWTHUcCApCx3UZK0wCziaQtnCtsxvA2ockUFRcJCuLloQ8b9cTFIR27Zkw9dq/f3/A2S1btohhGAHxwSKQbu/evcFOMY4ESIAEXEfAlSvLWOnlD6dNktfeelUqVakU8jJPeY+MfmqMVKlSJWQa/xOffvqp3HHHHQIBdtppp8kzzzwj1av/7W3VvXt3WblypfeSjh07yqhRo3TaK6+8Unbs2CFnnXWW3HXX36s35OfnS//+/eXLL7/0XhPsYMWKFfqar776SiBMTz75ZBk0aJB06dJFJ8eKJ4sWLZK333472OWMIwESIIGwBDasXy9LVywVaRg2me1OUhBG6JLxk96R7Z3Wyq7KoVEVTtoty5cvl2OPPTZCbn+fXrNmjVxwwQUyYsQIueyyy2TkyJHSs2dP+fzzz7WA+vjjjwWfSpX+Fr45OTn6wg8//FBatWoljzzyiDRr1kxuueUWyczMlIceekjuv//+sGX/9ttv0rlzZ7n66qvlueeek6ysLHnnnXd0uRB+eXl5WkvcvXt32Hx4kgTKSsDTtU1Zs+D1NiVw6zW3ye/7V8qFlebIqaeeatNaBlYr9NM9MK0rY8qXLy/plcpLdrPQ2t72CoGmynCwZs6cKXXr1pUbbrhBJ4Nm99RTT8nvv/8uf/75pxZKEFr+Yb1624LAQqhcubJs2rRJILjWrVvn1er8rzF//+tf/5IOHTrIvffea0bJVVddJRCQX3/9tfTq1csbzwMSiCeBdn0GxTN75p0kArBMbfl9q4x/ZZJMnDjRUYKQY4RJuGlq1KihBZlZNMbssBsBtMoff/xRKlSoIH369JGGDRtqk+fWrVt10q5du8qkSZMEghSrtdevX18eeOABrRGaeYX6/uabbwQmV/8A7ZJC0J8Kf5MACVglgGfMddddJyeccIIsXrxYW7es5pGs9BSESSB/9tlna+0P437Q5mDWxJjd5s2bZdu2bVrrGzp0qLz77rtaY4P5FAErtGNccf78+TJ16lT56aefZOfOndK+fXs9prhgwYKgrTGF7GGHHRb0PCNJgARIoKwEMMTSunVr/SLfoEEDWbLEOd6jFIRl7f1SXO/xeGTcuHHy4osvaoeVQw45RAs5aHiDBw8WONJgLBBvVsOGDZP//Oc/gj3sEM4880ytBcJECgEKkyfG+m666SZ56aWX5L777guoUbly5aRJkyayevXqgHMwrUbrbRpwMSNIoBQEFs2dUoqreIndCSxdulTqNc6TVUXLpEWLFtrCZfc6m/WjIDRJJPB737592rEGb1Cwq99zzz3y66+/SuPGjWXGjBla0zOrA09UeJPCKcY3QCtMT0+X4447TsaPHy933323PP300/Lee+/5JvMet2nTRgtYb8T/D+Btes011/hH8zcJxI1A4dgJccubGSeHwJ49e2T79u2SqTZdnlEwWQ/r+Hq+J6dW0ZdKQRiBVXFxsRzYVSzblu4M+fnj9z8j5FLyNKY/HHXUUbJx40Z9ApohPE6h5cF55dprr9UenLi5YD7t0aOHFnq+uUAbhLaIAA9QaHUwr0I4BgtIC3Pqv//9b61d/vXXXzJ27Fj55JNPtIYZ7BrGkQAJkEA0BGBtqlevnjfp4Ycfrl/yvRE2Pwj+1LR5pRNZvUsu7BtxHmHdVi2ladOmUVcLzjKY8oB5fJgigd8wbyIMGDBAMNYH0wKEFb6h8fmGL774QmrVqiVHHnmkju7du7c8+OCDOg7zDIMF2Owx/QLlIi0E54knnqjzNj1Rg13HOBIgARKIRABTwho1auRNBqEIL3inBArCCD11Qbfugk+sA6ZOwMMKzi7Q6MyA8cNXXnlFYD7dtWuXZGdnm6e834h78sknvb/POeccbSKF4MRYYKgAwfvZZ5/pvKFtVq1atURSCEgGEog3geLaleNdBPNPMAEIwkMPPVQ8aR6p5qkpmPsMaxqsX/7PmQRXLariKAijwhSfRHBi8RWCvqVAIOITLASbuJ+bmxssadC4cHkHvYCRJBBDAp1HjIlhbszKDgQ2bNgg7dq1kzoV8qR33hW6SvBSx/CPEwQhxwjtcBexDiRAAiTgYAIQhHXq1CnRAgzfmH4QJU7Y8AcFoQ07hVUiARIgAScRwCpX/oIQplLMjXZCoCB0Qi+xjiRAAiRgUwJYsANjgdAAfQN+Q1N0QqAgdEIv2bCOmIiPwXAGErBKYHb/S61ewvQ2JlBQUOB16luzO19G5w/XtYUgxDknBDrLROilaZM+lLdffU2qVAy9DVP5TI88OWZ01NswFRYWlnA1xgLazZs3l8cff1yOP/74sDXCskVYc7QsrslY1g3TMn7++WfBtAor4dFHH9XTMJYtW6YFIeo7evRoXX8r+SQ6LVa9QF3/+OOPkHMtg9UJnrsw+WCsA/3EQAIkUJIAhJ2/NogUtWvX1lvHlUxtz18UhBH65cN33pWzfi+SyuX3hUz57r4CS9swYQ4fpk18//33+mbBigwfffSR3kECNxUW3Q4VYIbANImyBOyogfLxbSUMGTJEZs2apSfiY0EACAlM0MdapxDMWCrOrgHc0GarwewrfDOQAAkEEsCeqhB6/qFmzZrUCP2hOPV3eTXFoVL5dGle5e89AYO1o8L2P4JFR4zDlAd8MKEdE/KxRRJWljniiCP0bhTYIBfCEtMdsBFvp06dAvLEkmrYicLcQQL7GGJ3Csw1vOKKK8RcaPuFF17QGhEm55933nn6Dc6cSD9nzhyt5WEZNywIHmwfsR9++EGef/55WbVqlfftD8u/YXk4LKWE5eKwKDgETqh6YwUdbEI8YcIELZSweEBGRoa8/PLL+h+pb9++Uq1aNb3BMIQ0VqtA+08//XQ544wz9NqsGHO45JJLvIsJ4J/w9ddf12kxOI88scVVuIBrpkyZolfzwcLmFStW1Kv5mFNQ8DICTtj26qKLLiqRFeZfYkUeaMRY0AALGKANWB927dq1mjkuwObH2E0k1AIHJTLlDxJwMAH8P5mbivs2A//LsMDgJRLPKDsHjhEmsXewVQl2kMB+gNhtAvNwsOEuAvYKxAO+bdu2+kENQfDf//63RG2xq725Qg1ODB8+XG/Wi0n1eJjDFIiJrghYh/Tyyy/X+xdiz0MIP8xjhKDBlk8wlWLbJ2zVNHv2bH2N7x/UEfkFM4G89tprWggifbh6o77IHyZGaJBYQBx1Qp5YYxX7MiJg0j8EEFbYgXC7+OKLdVqYdCGs8UJw4MABvVQcNFN4pmGxALQFQjyS9gYPtzvvvFMGDRqkTcMwEUPYImDsE6bnefPmaYGK+pkBY6LIHy8amMuJl5Bzzz1Xnwa/22+/XS+QDmF94YUXllhyysyD3yLNhg0hhhQigG3isDoWQm5mnvTJG6iP8TKLF3JzGzkdadM/NI0msWOgLeBmgYkRgguCzHx7woP24Ycf1hojtCwIioULF+pl0VBlrEH66quvaqEFQbJ3714tFKdPn+7VHLH26MiRIwUCCAG702OXCt+wYsUK/TYHQdtAjReGEnYoG4uCmwEP+yeeeEL/RJ2hDUJghao3Fv1GQB1uvvlmvd0U3hjR5p49e+pNg6GpmgFrFaKNCNC28A+FMVSEN954Q7777jstaLAfI9ZmRcCLBIQ5TKCRJvFiuytshoz2QpuGGQcmaqy9ijFcaMAI2BHkggsu0MfQIqH1zZ07V2uB2B4L44cQmih7zJgxui54EYE2DqYMgQRy67cMjGSMYwlAIzSfDRnlPJLjqe5tC55NvoLSe8JmBxSESewQbGRpmuOg7Zxyyin6gQwtpEuXLgLHFGzUi3N4SEOwIUCjg5DEw9tcmQa7WECbGTjw77cxpINLs+8qNHDI8Q/nn3++Hp+EJooPNBloS/4B5los2m0GLO4NQYYA4YFtoiAIw9Ubac01WbEEEzRSrHeKADOr79inmQ7nYHaBwDKDmRYmUAgimEqh1Zl8oC1GChjPhLaNYJp1YPaEidfXNNyxY0ddT6SDBg+mYGEGtBs7h0AQQqDCzIuXBmydxUACbiAA86epEfq31ykaoe1Mo74PQzzw8fDFQz7VAx7qeOhCu4CG2KFDBy3oMB6F9psLbIMDxrTw8IUwMdcHxYMddngIpV9++UV/MEY1efJkL7pgS7YhLzy8oZHCNInxu9tuu817jXkAhxhoSRDKCHjTw96H+JjCLFK9cZ3/dlIQhsFCpHTQQqH9QhuE8MZC5DD3IkQyjSINWAQbt8CgP8ZpzYB/cmjkCGCMfSJNvvjGOCJeXBAgjGGexQsCzMUMJOAGAtD48CwKFsxxwmDn7BQX/CmUhBrCnIXxo1tuuUU/yDDWBGcOOGPA1HTrrbdG9YCLddWL1UOwqPiA/PrXHyE/v23fWqpi0WZoGDDTffnllzJt2jTtgYnf+MCMCC0OGgaEEBbiRoCQgBYDAQbzIcbSwAoPaZjn4LyBD8a6kCZcePPNN7UDC8bt4KwCZ5lg3pUwfcLch/E5mAZRF6SbOHGiTJo0SQuJSPUOV4/SnIMzjanFQjDDVIxgaoalyRPtgzCDUINANfNEXhhHxDgtPtg1BC8oMAnBXArTNPhhuys4C0GrhtmZIZDArJFDAyMZ41gC+L83rUNblQf9zIJ/LEdOEYS2MY1iiyBoB88995wWCHjbh4ciTF/QVuAMgX358B0pwNkDu7WHCrBpRxt69O0jb7+i5hGqB1+ocGRmB6/JL1SaYPGmYwy0EwiyG2+8UbBRLgJeCLBDPdqPty2YMOGp2LlzZ29WuB5ONvCUhKDEVk4wE8JTFFMwoGFil4twAQ9veJrigY56QCBCKwwWnn32WW2Svf766/VDHgIH12FTYJhk0X+h6h0sv7LG9evXT3t3wlEFZcOzFmOE4ARupQktW7YUeNhC6OGFAyZPU5PGOdxXptctyoQTEsocPHiwNg+BDTRNcEf94GQUao/I0tQvFa5JW7g2FZrBNigCsJbgZR4mUISi4iJZWbREzpC/x/thMnXCeqNp6q3XFhOk8ADBGBn21oM5EFoOvs2AjWgxJubv7GGe9/2GeTWcsMO2RRjvsXvAmBU0DXMcMNr6wlQBZxFohdEGCDXc0OZ4WaTrYLbGAx7jdf6htPX2zyfa3zBfwmxppb2R8sY/ONpovun6psc53F/B5k75pgt1/NhjjwmEqq9zUKi0qRiPlWU6jnszFZvmujZBG4TTGOZBI2BlmWmb3pfrG/7tAQ4nv/nz53uHcEIBgsUJ6ZIVbKMRAgS0QWg8eBuHR6K5kCs0QpjfYPaLJuDhHOwBbV6LN3knBGh14SbXh2pDtMLM93oIESvXmW+AvnmYx6Wtt3m91e9gwspqHv7pcY+EyhfnSisE/cvhbxJwMgG8hIZ7Uadp1GLvXnrppdolHm/KcAzBGAwcSI4++mg9YRtOEXAgYSABEnA2AU/Xv6fSOLsVrD0IwGri+1KclZ4jbbPbe+FgWAdao92DbTRCgMIYFCYlwxkD3ngwsWHsDOOC4XZetztk1o8ESOAfAu36DPrnB48cTQBCztdjNCsjW9rm/KOwQCPE1C+7B1sJQsCCowccPhhIgARIgATsTQBCLtyQCsymMJ/aPThjsMzuFFk/EiABEnAhAWiEcFQLFbByFnwGsPCEnQMFoZ17h3UjgRQksGjulBRslTub5D9GuEtNn1hVtKwEDCeME1IQlugy/iABEog3gcKxweepxrtc5h97Av6CsFBNqJ9R8M9qVigR44SYmmXnQEFo595h3UiABEjAxgSwupSvs0ywqmIqGwSmnQMFoZ17h3UjARIgARsTgCNMpJ1eML3C7oLQdl6jiehzrLyCCfwMJJAMAlgMHYuruzUU167s1qanXLvhNeo7od6T5pFqnpol2onzdp9C4UpBCHU+mcv5lLhL+IMEXEag84joVohyGRZHNhdjf74aYZ0KedI774oSbcF5jhGWQMIfJEACJEACqUAA6yAj+G+Z5t82Osv4E+FvEiABEiCBlCCAzQ18l1cL1Sg6y4Qiw3gSIAESIAFHE4ADTLjNDczG0TRqkuA3CZAACfyfALZhYnA+ATjA+I4PokXYhml0/vASjaMgLIGDP0iABEiABFKFABxgfD1GQ7ULaWBGtXPgPEI79w7rRgIkQAI2JQDv+3DrjJrVRhq7zyOkIDR7i98kQAIkQAJRE4hmVRlkhr1l4WFaXFwcdd6JTkhBmGjiLI8EXE6g2bAhLieQGs3HGGHlyiUXR8jNzJM+eQMDGgitEILTroGC0K49w3qRQIoSyK3fMkVb5q5mBTONZpTzSI6negAICsIAJIwgARIgARJwOgH/VWXCtcfunqPUCMP1Hs+RAAmQAAkEJWBFENrdc5SCMGgXM5IESCBeBGaNHBqvrJlvAglg13n/eYRb1X6EMwumBtQCE+/tvPA2BWFAlzGCBEggngTSFq6NZ/bMO0EEoBH6O8sUqR3qVxYtCagBBKGd5xJSEAZ0GSNIgARIgAQiEbBiGuUYYSSaPE8CJEACJOA4AtDwollrFA2j16jjupcVJgESiCcBT9c28cyeeSeAwK5du6RChQpSrlxJo2JWeo60zW4fUANohDSNBmBhBAmQgFsJtOszyK1NT5l2Q6gFW2c0KyNb2uZ0CGgnNEeYUu0aSopzu9aS9SIBEiABErANAUymx9Jp0QY6y0RLiulIgARIgAQcQSDYqjLhKs4xwnB0eI4ESMB1BBbNneK6Nqdag0M5yuxS0ydWFS0LaC41wgAkjCABEnAzgcKxE9zc/JRoeyhBWKgm1M8omBzQRmiEcLCxa+AYoV17hvUiARIgAZsSsGoahUbIlWVs2pmsFgmQAAmQgHUCwZZXC5cLpllkZmbK7t27wyVL2jlqhElDz4JJwJ0EimuX3MPOnRSc3epgy6uhRZ40j1Tz1AzaODuPE1IQBu0yRpIACcSLQOcRY+KVNfNNEAFohP7rjKLoOhXypHfeFUFrQUEYFAsjSYAESIAEnEjA6hgh2khB6MSeZp1JgARIgASCEgjlNRo08f8jscwaNEk7BppG7dgrrBMJkAAJ2JgABBqmRFgJWIkGmqQdAwWhHXuFdSKBFCYwu/+lKdw6dzQNAi3YGOGa3fkyOn94UAh2No2mB61xEiKLi4vFMAxJT/+7SgcOHJCPP/5YL9TarVs3ycnJSUKtWCQJkAAJkIA/gdKYRiE4aRr1J+n3+9FHH5U777xTx2KuyUknnSS9evWSkSNHSm5urtxxxx1+V/AnCZAACZBAMgiE8hoNVxdqhOHoBDn38ssvy969e2XTpk2SnZ0tGzZskBNOOEHOP/986dAhcIsP/yw2btwoS5Ys8Y/2/ob2yUACJEACJGCdAKx1Bw8eFI/HY+lijCkWFBRYuiZRiW1jGvVtMGD17dtXC0HEH3roodKvXz9ZuHBhVIIQgvPzzz/3zbLEMQVhCRz8QQIJJdBs2JCElsfCYksg3NSJ3Mw86ZM3MGiB0Ajtut6orQQhBN2nn34q7du3lzfeeMMLE/DmzJkjL774ojcu3MFxxx0n+IQKzz77bKhTjCcBEogzgdz6LeNcArOPJwGYRTEVIljIKOeRHE/1YKe0cw29RoOi+Seyc+fO0qhRIxk6dKh0795dxo8fL4sXL9bOMvXr15caNWpIq1at/rmARyRAAiRAAgknAEeZihUrWi7Xzs4yttEI27VrJ/ggwAa9dOlSady4sWRkZMjkyZO1lmiZPC8gARIgARKIKYHSeIyiAnZ2lrHlPEJMoTjyyCOlQoUKUr58eQrBmN7GzIwEkktg1sihya0ASy8TgXAeo1vVfoQzC6YGzR8aIYSoHYMtBaEdQbFOJEACsSGQtnBtbDJiLkkhAGEWbDI9KlOkdqhfWRTcYx/X2NVZhoIwKbcSCyUBEiABZxKARggzp9UABxsKQqvUmJ4ESIAESMB2BLDgidV1Rs1GwOfDjpvzUiM0e4jfJEACCSHg6domIeWwkPgQwKa8WEA7WMhKz5G22e2DndJxdnWYoSAM2WU8QQIkEA8C7foMike2zDNBBMI5y2RlZEvbnNCrf9l1CgUFYYJuHhZDAiRAAqlAIJwgjNQ+aJJ2HCekIIzUczxPAiRAAiTgJVAWQUjTqBcjD0iABNxMYNHcKW5uvuPbHk4Q7lLTJ1YVLQvZRrt6jlIjDNllPEECJBAPAoVjJ8QjW+aZIAIQhKHWGi1UE+pnFEwOWRMszWbH9UYpCEN2GU+QAAmQAAn4EyjtWqPIh84y/jT5mwRIgARIwHEEwplGIzWGgjASIZ4nARJwBYHi2pVd0c5UbWQ4QehJ80g1T82QTacgDImGJ0iABNxEoPOIMW5qbkq1FVMfMM6XlpYWtF11KuRJ77wrgp5DJAVhSDQ8QQIkQAIk4AQC4bTBaOqPpdk4jzAaUkxDAiRAAiRgSwJlFYTQJu24FRO9Rm15u7FSJEACJGA/AtDmSrvgNlpD06j9+pQ1IgESSAKB2f0vTUKpLDIWBKARYsP0UGHN7nwZnT881GkKwpBkeIIESIAESMARBMpqGqVG6IhuZiVJgARIgARCEaAgDEWG8SRAAiRAAq4gUFZBiEW3uTGvK24VNpIESCAcgWbDhoQ7zXM2JhBJEOZm5kmfvIFhW+DxeGwnDOk1GrbLeJIESCDWBHLrt4x1lswvQQTgNRpqwW1UIaOcR3I81cPWxo7jhBSEYbuMJ0mABEiABEwCmAMYzmvUTBfum4IwHB2eIwESIAESsDWBSKbRaCpPQRgNJaYhARJIaQKzRg5N6falcuMiCcKtaj/CmQVTwyKgIAyLhydJgATcQCBt4Vo3NDMl2xhJEBapHepXFi0J23YKwrB4eJIESIAESMDOBCIJwmjqjiXa7DaFgs4y0fQc05AACZAACWgBhrmAZQlwtrHbwtsUhGXpUV5LAiRgmYCnaxvL1/ACexDYuXOnVKpUKWRlstJzpG12+5DncYKm0bB4eJIESMANBNr1GeSGZqZkGyOZRrMysqVtToewbacgDIuHJ0mABEiABOxKYN++fVK+fHn9KUsdoVHabXNemkbL0qO8lgRIgARcQiCSNhgtBmqE0ZJiOhIggZQlsGjulJRtWyo3LBpBuEtNn1hVtCwsBjsuvE2NMGyX8SQJkECsCRSOnRDrLJlfAghEIwgL1YT6GQWTw9YGplE43dgpUBDaqTdYFxIgARKwKQHM/cMcwLIGmkbLSpDXkwAJkAAJJIVALBbcRsXpLFOK7vvkk09k27ZtpbiSl5AACdiRQHHtynasFusUgUA0plFPmkeqeWqGzcmOGmF62Bon8OSWLVtkx44dASXeeuutMmLECGnRooXUqVNHT8YMSMQIEiABxxDoPGKMY+rKiv5DIBpBWKdCnvTOu+Kfi4IcURAGgWJG/etf/5JRo0bpva7Klftn6BJ26V69egni3nrrLenevbt5Cb9JgARIgAQSRABz/8KtKhNtNbBDfXFxsf5gXqIdgm00wieffFILwblz58q4ceOkSZMmms8xxxwjr7/+uuA72vDRRx/JI488EjK53RZ8DVlRniABEiABmxCIRiOMtqrY5R6CNRbON9GWGS6dbQQh3hJgAp01a5acd955MmjQILn22mvD1T3kuXPPPVfwCRXsAj9U/RhPAiRAAnYjsGfPHqlevXpMqmUuvG2XZ/E/NsiYNK/smXTq1Enmz58vc+bMkbPPPlu2b99e9kyZAwmQgG0IzO5/qW3qwopETwA+HBUrVgx7wZrd+TI6f3jYNDhpt3FC2wlCQMrOzpbx48fLJZdcooFlZmYimoEESIAESCBJBGDKhACLRbDbFApbCkITdL9+/WTRokXSvHlzM4rfJEACJEACSSAQyzFCaoRJ6EAWSQIkQAIkUDYCFIRl48erSYAESMBLoNmwId5jHjiHQDTTJ3Iz86RP3sCIjYKTjJ28921tGo1IkwlIgAQcRyC3fkvH1ZkVFolGI8wo55EcT2TPUtNr1C5cKQjt0hOsBwmQAAnYmACmT8TKWYZjhDbuaFaNBEiABEggOAEsuh2LlWWQOwVhcMaMJQEScAmBWSOHuqSlqdNMjA9GmkOI1m5V+xHOLJgaseEUhBERMQEJkEAqE0hbuDaVm5eSbYtmfBANL1I71K8sWhKRgWPmER44cEAOHjwYsUFMQAIkQAIkkNoEohWE0VKoUqWKXms02vTxThfSWSY/P1/q168v99xzjyxfvjze9WD+JEACJEACNiUQzdQJK1WHRogxR7uEkIIQuz9MmTJFu8yefPLJ0q5dO3nppZe49qddeo71IAGHEvB0bePQmru32hCE0OIihaz0HGmb3T5SMmc5yxx77LHyzDPPyPr16+Xee++VL774QnJzc6Vv374yb968iI1lAhIgARLwJ9CuzyD/KP62OYFoPUazMrKlbU6HiK1xnLMM5o5MmjRJXnzxRZkxY4beIqlNmzYycOBAuf/++yM2mAlIgARIgAScTSDWY4R2E4Qh9yPE9ke33nqrTJw4UZo2bSoDBgzQG+Tm5OToHj3jjDOkS5cuMmzYMGf3MGtPAiRAAiQQloBrBSH2noLQ+/rrr+XII48MgFSvXj2ZMGFCQDwjSIAESCAcgUVzp8iRHc4Pl4TnbEYgWmeZXWr6xMY966Rx5WZhW5CWlibYXg8WRyy3luwQ0lmmZs2actVVVwUIwV9++UV+//13qVq1qrRvH3lQNNkNZPkkQAL2IlA4li/Q9uqRyLWJViMsVBPqZxRMjpyhSoGFtyFg7RACBCEavGbNGvn222/lhhtu0Mf4jQ+mVNx2220ya9YsO9SddSABEiABEkgAAQgsKD+xDFipxi5TKALGCHfu3CnwFoVpFJPqMY3CDOnp6dKgQQPp2LGjGcVvEiABEiCBFCcAgRVrE6adHGYCNMI6depIYWGhrFq1SgYPHix79+71fqAtLl68WAvDFO93No8ESCBOBIprV45Tzsw2XgSiNY160jxSzVMzqmrYWhCaLYAzzJNPPmn+5DcJkAAJxIRA5xFjYpIPM0kcgWgFYZ0KedI774qoKmZrQXjzzTfL1VdfrTXC6tWrS7APVpxhIAESIAEScAeBaAWhFRp2EoQBY4RDhgzRi23XqlVLvvzyy6DtgrbIQAIkQAIk4A4C8RCEWLJt9+7dtgAYMEZ46KGHSt26dcXj8Wj31j/++ENatmypl1QbOnSoLFu2LObeQ7YgwUqQAAmQAAkEJRAPQYiFt+GcaYcQIAjNSmGiI7xDMaEeDjIwmR533HF6tZlff/3VTMZvEiABErBEYHb/Sy2lZ+LkE4h20e01u/NldP7wqCpsJ9NoSEG4aNEiadiwocBUirVGzzzzTL22KBbcDmUyjar1TEQCJEACJOAYAvv27ROsBFO+fPmY1tlOm/OGFISYNlGu3N+np06dKj169NAQNm/eLHl5eTEFwsxIgARIgATsSSAeZlG01BEaIXaYwEoyMI9iVZlzzz1XHnroIYFQ7NSpkz17jLUiARIgARKIKQE3CMIAr1GTIBZExfjgzJkzBRvzYgFurDizdOnSqDZoNPPhNwmQAAn4Emg2bIjvTx7bnIAVQZibmSd98gZG1SJbrzXq24LatWvLRRddJLDlwiR6/PHH62XXYDZlIAESIIHSEMit37I0l/GaJBGAIIQMiCZklPNIjqd6NEl1nrb3GkVLMLEecz0gELH0mvmBeZSBBEiABEgg9Qlgrh+0t1gHO40RhjSNwmsUAm/hwoVyxBFHlPAYggcRAwmQAAmQQOoTgNYWrUZohYadBGFIr1G8BTRv3lzvR4hdJyD8zI+VxjItCZAACfgSmDVyqO9PHtucgJUxwq1qP8KZBdFZDGFttMs2TCEF4THHHKM3TZw4caIABAMJkAAJxIJA2sK1sciGeSSIgBVBWKR2qF9ZtCSqmmFeIj6Yp5jsEFIQbty4UQoKCrSzTLVq1aRGjRreD8cIk91tLJ8ESIAEEkPAiiC0WiO7mEdDjhHCMSaUwKtfv77V9jI9CZAACZCAAwnAfAmHyXgEOOHYweIYUiPEotutWrXSXqNwnMnIyNDHiKtatWo8mDBPEiABFxDwdG3jglamThPhL4LxvGhCVnqOtM1uH01SnaZixYr2FoSo5ahRo7SzzK233irffvut3HnnndpUahhG1A1lQhIgARLwJdCuzyDfnzy2OQErXqNZGdnSNqdD1C2yi8NMSI1w06ZNcvfdd+udJwYMGKAb9vrrr8uGDRvkxx9/jLqhTEgCJEACJOBcAm4YIwwpCLHvIJZWa9CggbcHMbB52mmn6b0JvZFxPIBt+qOPPpIFCxbEsRRmTQIkQAIkEIqAqwVhkyZNtMCDBmgGqMjvvfeeHH744WZUTL8ffPBBady4sfTs2VMv+H3YYYfJddddJ+3atZOBAwfGtCxmRgIkkBwCi+ZOSU7BLLVUBKCQRDtGuEtNn1hVtCzqcuxiGg3pNYqd6m+//XZp1KiR1KpVSy+6ff3110vnzp313oRRtzTKhBCw0P6eeeYZLWxbt24t9957r9x2222yfv16rZ3OmjUrqp0vsBrO9OnTQ5a8f//+kOd4ggRIIL4ECsdOEOlwfnwLYe4xI2BFIyxUE+pnFEyW6xveFVX5dll4O6QgRCvuu+8+Ofvss2XOnDl6cj0m2Xfr1k2vMBNVKy0k+uqrr7TQw3ZPXbp0kerVq8s111yjy6pbt65ccskl8ssvv0QlCDHvEd6toYK5z2Ko84wnARIgARL4mwB2p4/XTAF4jW7fvj3pqEMKwoMHD8qqVau0Ngah0qxZM4GpMl4BO1tgy6devXoJ4ED4VqhQQRcH9138Hj16dFTF16tXT/AJFWK903KochhPAiRAAk4mYG7QHq/1peF34jv8lixWQZ1lvvvuO2nRooU0bdpU4DHavXt3wSR6aIPwJo1HuOCCC2Tt2rXStWtXnX3btm313EVs/9SwYUM9ofOoo46KR9HMkwRIIIEEimtXTmBpLKosBKyYRVGOJ80j1Tw1oy7SLmOEAYIQS6udcsopWvhBI9y6dateGHXFihV6Xbjzz4+PbR+q9+effy4vvfRSCYjZ2dkyZcoUwZqnDCRAAs4n0HnEGOc3wiUtsOIoAyR1KuRJ77wroqZjW0E4btw4OeOMM+Sxxx7TjjJmi+ApCoeWlStXClaaiVeAc45vyMzMlBNOOME3isckQAIkQAIJIGBVEFqtkl3WGg3QCOGheeyxxwZtD8buMFb422+/BT3PSBIgARIggdQhYNU0arXl0AjhA5LsECAII3kIwYRph4onGxzLJwESIIFUJwB5EI/d6U1u0Ah37Nhh/kzad1Cv0S1btsjy5cuDVgpvCAwkQAIkUFoCs/tfKh3HvVnay3ldAglYWWcU1VqzO1+mbXo/6nmEdhkjDCoIMT6IT6hw8803hzrFeBIgARIggRQhkIgxQmidyQ4BgnDMmDHy3HPPha0XtmhiIAESIAESSG0CEIQwX8YzVKpUSaB5JjMECELsO4gPAwmQAAmQgLsJYCgsXpvymmTtME4Y4CxjVo7fJEACJBAPAs2GDYlHtswzDgSsmkZzM/OkT95ASzWBA2ay97ilILTUZUxMAiRQVgK59VuWNQtenyACkWYR+Fcjo5xHcjzV/aPD/oZplIIwLCKeJAESIAESSBYBjN1h/ng8AzxHsbZ1MgM1wmTSZ9kkQAIkYGMCVk2jpWkKBCE1wtKQ4zUkQAKOJTBr5FDH1t1tFYdGaGVC/Va1H+HMgqmWMFEQWsLFxCRAAqlAIG3h2lRohivaYHWJtSK1Q/3KoiWW2MBrlKZRS8iYmARIgARIIFEErGqEpakXvUZLQ43XkAAJkAAJxJ3A/v379Zzy9PSA6eYxLZteozHFycxIgAScQMDTtY0Tqun6OpbGYzQrPUfaZre3xA5jkDSNWkLGxCRAAk4n0K7PIKc3wRX1L41ZNCsjW9rmdLDEh84ylnAxMQmQAAmQQKIIJGLqBNpCQZioHmU5JEACJEAClggkShDCWYamUUtdw8QkQAJOJ7Bo7hSnN8EV9S+NINylpk+sKlpmiQ+mT3BCvSVkTEwCJOB0AoVjJzi9Ca6oPwQhtDUroVBNqJ9RMNnKJXrCPgWhJWRMTAIkQAIkkAgCcJaJ916EaEdmZiY1wkR0KMsgARIgARKwRqA0XqPWSvgndblyyV32Orml/8OBRyRAAi4hUFw7vjueuwRj3JtZmjFCT5pHqnlqWq5bWlqa5WtieQEFYSxpMi8SIIGIBDqPGBMxDRMkn0BpNMI6FfKkd94VlitPjdAyMl5AAiRAAiQQbwJYcNvKzhNlqQ81wrLQ47UkQAIkQAJxIbB9+3YKwriQZaYkQAIkQAKOIFCaMcLSNoym0dKS43UkQAKOJDC7/6WOrLfbKl2aMcI1u/NldP5wy6hoGrWMjBeQAAmQAAnEm8COHTssT6gvbZ0oCEtLjteRAAmQAAnEhcC+ffsSshehWXmaRk0S/CYBEiABErAFAWiDiVhVxmwsNUKTBL9JgARcQaDZsCGuaKeTG1ma8UG0NzczT/rkDbTcdGqElpHxAhIgAScTyK3f0snVd0XdSysIM8p5JMdT3TIjaoSWkfECEiABEiCBeBJIpKMM2kGNMJ69ybxJgARIgAQsEyitRmi5oP9fQI2wtOR4HQmQgCMJzBo51JH1dlOlsbya1b0IwWer2o9wZsFUy6ioEfohW716taxatcovVmTBggWyadOmgHhGkAAJOItA2sK1zqqwC2v7559/lmp5tSK1Q/3KoiWOI2ab3Sf2798v3bp1k9atW0uTJk2kT58+grcSM9x///3y1VdfmT/5TQIkQAIkECcCiR4jjFMzos7WNoJwxowZkp6eLhs2bJD8/HzZvXu3dO/eXTCx02rYs2ePFBQUhPwYhmE1S6YnARIgAdcQcJsgTLdLz3722Wdy8cUX60mcmMg5ceJE6dGjh/Tr10/effddS9WcO3eujBo1KuQ1e/fuDXmOJ0iABOJLwNO1TXwLYO5lJlBaZ5ms9Bxpm92+zOUnOgPbCMKTTz5ZJkyYoIVh+fLlBZ/x48fL6aefLjfddJMUFxdHzaZLly6CT6iQqD22QpXPeBJwM4F2fQa5ufmOaDt2nsjKyrJc16yMbGmb08Hydcm+wDam0bPOOkvWrVsn9erV8wq9SpUqyfTp0+W7776Tzz//PNmsWD4JkAAJuIJAaZ1lnArHNhohhB6cYX744QetDZpAs7OzZd68efLyyy9L48aNzWh+kwAJkAAJxImA28YIbaMRmv157LHHmofebzjRXHvttRLsnDcRD0iABBxBYNHcKY6op5srWdoxwl1q+sSqomWOQ2c7Qeg4gqwwCZCAJQKFYydYSs/EiSWAaWsVKlQoYZmLtgaFakL9jILJ0Sa3TToKQtt0BStCAiRAAsknAG0QQ1JuChSEbupttpUESIAEIhBwm6MMcFAQRrgpeJoESCC2BIprV45thswtpgS2b99eqqkTqIQnzSPVPDVjWp9EZEZBmAjKLIMESMBLoPOIMd5jHtiPQFkEYZ0KedI77wr7NSpCjSgIIwDiaRIgARJwEwGOEbqpt9lWEiABEiCBAALbtm0r1c4TARk5KIIaoYM6i1UlARIggXgTwGT60iyvFu96xTN/CsJ40mXeJEACAQRm9780II42yMbKAAAi90lEQVQR9iEAr9HSTp9YsztfRucPt09joqwJBWGUoJiMBEiABNxAoCzOMk7lQ0Ho1J5jvUmABEggDgRgGs3JyYlDzvbNkoLQvn3DmpEACZBAwgnAWaZq1aoJLzeZBVIQJpM+yyYBFxJoNmyIC1vtnCaXZYwwNzNP+uQNdE5j/19TCkLHdRkrTALOJpBbv6WzG5DCtd+7d69uXWZmZqlamVHOIzme6qW6NpkXURAmkz7LJgESIAEbEYCjTLVq1WxUo8RUhYIwMZxZCgmQAAnYnoAbxwfRKRSEtr81WUESSC0Cs0YOTa0GpVBrIAjL4jG6Ve1HOLNgquOIUBA6rstYYRJwNoG0hWud3YAUrn1ZHGWApUjtUL+yaInjCFEQOq7LWGESIAESiA8BjhHGhytzJQESIAEScAiBP/74w3VzCNE11AgdcoOymiSQKgQ8XdukSlNSrh1lHSPMSs+RttntHceFgtBxXcYKk4CzCbTrM8jZDUjh2kMQlmX6RFZGtrTN6eA4QhSEjusyVpgESIAE4kOgqKioTIIwPrWKf64UhPFnzBJIgARIwBEENm7cWKbpE45oZJBKUhAGgcIoEiCB+BFYNHdK/DJnzmUiAGeZsphGd6npE6uKlpWpDsm4mIIwGdRZJgm4mEDh2Akubr19m75r1y5JT0+X0q4zipYVqgn1Mwom27eRIWpGQRgCDKNJgARIwE0E4ChTvbrzFsyORR9REMaCIvMgARIgAYcT2Lp1qyvHB9FtFIQOv3lZfRJwGoHi2pWdVmVX1BeCsCzjg4DkSfNINU9Nx/GiIHRcl7HCJOBsAp1HjHF2A1K09mV1lAGWOhXypHfeFY4jREHouC5jhUmABEgg9gQgCGvWdJ42FwsSFISxoMg8SIAESMDhBLZs2VJm06hTEVAQOrXnWG8SIAESiCGBwsJCqVGjRgxzdE5WFITO6SvWlARSgsDs/pemRDtSrRGxEIRrdufL6PzhjkNDQei4LmOFSYAESCD2BOA1yjHC2HNljiRAAiRAAg4gUFxcLNiUNycnxwG1jX0VqRHGnilzJAESIAFHEYBZ1K2ryqCjKAgddbuysiTgfALNhg1xfiNSrAUwi9apU6fMrcrNzJM+eQPLnE+iM6AgTDRxlkcCLieQW7+lywnYr/mbN2+OydSJjHIeyfE4b73SdLt0yahRo+Trr78OW51bbrlFTjzxxLBpcPLTTz8V5Bcq7NmzJ9QpxpMACZCA6wgUFBRIrVq1XNdus8G2EYQnnXSSDB8+XJo1aybnnHOOWb8S39HasE8++WQ55phjSlzr+6Nhw4a+P3lMAiRAAq4mECvTqFMh2kYQtmnTRmbMmCGnnHKKvPbaa3LYYYeVmmmFChUEn1AhLS0t1CnGkwAJxJnArJFDpdPgR+NcCrO3QmDDhg3StGlTK5cETbtV7Uf4/Z/fyBm1zgt63q6RthojbNmypdYKv//+e7vyYr1IgATKSCBt4doy5sDLY00gVqbRIrVD/cqiJbGuXtzzs41GaLZ04MCB5iG/SYAESIAEEkAA64zm5uYmoCR7FmErjdCeiFgrEiABEkhdAphMjzHCaH0wUpEEBWEq9irbRAI2JuDp2sbGtXNf1TB1AottlytXdnGQlZ4jbbPbOw5i2VvuuCazwiRAAskk0K7PoGQWz7L9CGB88NBDD/WLLd3PrIxsaZvToXQXJ/EqCsIkwmfRJEACJJBsAuvXr5fatWsnuxpJLZ+CMKn4WTgJkAAJJJfAxo0bXe0oA/oUhMm9B1k6CbiOwKK5U1zXZjs3GHMI8/LyYlLFXWr6xKqiZTHJK5GZUBAmkjbLIgESkMKxE0jBRgRgGo3VGGGhmlA/o2CyjVoXXVUoCKPjxFQkQAIkkJIEoBHWrVs3JdsWbaMoCKMlxXQkQAIkkGIEdu/eLTt37nT1HEJ0KQVhit3YbA4J2J1Ace3Kdq+ia+q3du1aqVevXsza60nzSDVPzZjll6iMKAgTRZrlkAAJaAKdR4whCZsQwPhggwYNYlabOhXypHfeFTHLL1EZURAmijTLIQESIAGbEcjPz3f9+CC6hILQZjcmq0MCJEACiSIA02gsNcJE1TvW5VAQxpoo8yMBEiABhxCARliWvV8d0syI1aQgjIiICUiABGJJYHb/S2OZHfMqAwFohI0aNSpDDiUvXbM7X0bnDy8Z6YBfFIQO6CRWkQRIgARiTWDdunWSlZUlmZmZsc7acflREDquy1hhEiABEig7gdWrV0uTJk3KnlEK5EBBmAKdyCaQAAmQgFUCy5cvl8aNG1u9LCXTUxCmZLeyUSRgXwLNhg2xb+VcVLNVq1ZJs2bNYtri3Mw86ZM3MKZ5JiIzCsJEUGYZJEACXgK59Vt6j3mQPAJLliyJuWk0o5xHcjzVk9eoUpZMQVhKcLyMBEiABJxKYPv27YJ1RmO164RTOZj1piA0SfCbBEiABFxCYPHixdKyJTVzs7spCE0S/CYBEkgIgVkjhyakHBYSmsDChQvjIgi3qv0IZxZMDV2wTc9QENq0Y1gtEkhVAmkL16Zq0xzTrkWLFsnRRx8d8/oWqR3qVxYtiXm+8c6QgjDehJk/CZAACdiIwIEDB2Tp0qXSqlUrG9UquVWhIEwuf5ZOAiRAAgkl8NNPP8nhhx/OFWV8qFMQ+sDgIQmQQPwJeLq2iX8hLCEkgQULFsjxxx8f8nxZTmSl50jb7PZlySIp16YnpVQWSgIk4CoCn3/+uUyfPl1+/PFH2bp1q1R9/gNp2rSpnHbaaXL++efLIYcc4ioeyWzsvHnz5N57741LFbIysqVtToe45B3PTCkI40mXeZOAywl89tln8vjjj0u1atWkR48ectNNN0nt2rVlx44dAhf+mTNnyrPPPisXXnih3HDDDVKlShWXE4tv8zdu3CiYQ3jEEUfEtyCH5U5B6LAOY3VJwAkE8LC9++67Zc2aNfLYY49J27ZtS1S7UqVKUqdOHencubP8+eefMmrUKK0d4pru3buXSMsfsSMAzbxTp06xyzBFcuIYYYp0JJtBAnYh8P3338vZZ5+t17GcNm1agBBcNHdKiapmZ2fLfffdJ2+//ba8+uqrMmDAAPnjjz9KpOGP2BCAefqss86KTWZBctmlpk+sKloW5Iy9oygI7d0/rB0JOIoABBlMnE8//bQMGjQoaN0Lx04IGo8tgT766CM57rjj5PTTT9fHQRMyslQEMIm+fPny0rx581JdH81FhWpC/YyCydEktVUaCkJbdQcrQwLOJIC5aePHj5fJkydrAVYWr8Qbb7xR3nnnHXnhhRfkyiuvlE2bNjkTis1qDaY9e/a0Wa3sUR2OEdqjH1gLEnAsgQ0bNmiB1aJFC/nwww+11lHWxmB7IJjxxo4dq82sl112mVx11VVSuXLlsmadkOsx7gkTMbY6Wrt2rezZs0cqVKignYawByBWdalfv35C6oJCli1bpifRP/zwwwkr00kFUSN0Um+xriRgMwLw+jzvvPOkX79+8tRTT0UlBItrRyfM0tLS5Oqrr9aepRAsHTt2FDzIsTyYHQM8Ml988UU9HeSUU06RN998U3bt2qVNke3bt9fCD05CX375pVx++eVy0kknyQMPPKCnlMS7PSNGjNAvKxkZGXEtypPmkWqemnEtIx6ZpxkqxCNjO+eJOUs7d+60cxVZNxKwNQH8/zz00EP6If78888nxB0fDjTvv/++wAGnoKBATjjhBIEWCg0rLy9PatWqJTk5OZKenjhD1759++Tjjz+WiRMnysqVK6Vbt27StWtXadMm8qIB0BTNa5FP3759pVevXpKVlRXTvn/ttdfk66+/lpdffjmm+cYyM7wUzJ8/P5ZZWsqLgtASLiYmAXcTwHszxpow3eGCCy6Q2267TeKtZQQjDu0LK6RgLuLvv/8umzdv1hP1MT8RmiSESdWqVfWcRUzTqFevnjRs2FBP4m/QoEGwLC3FQbDADPzpp59qze7iiy8u07SEX375RY+xwhx86qmnCvKDFlnWcNddd8kPP/wgb731lmZR1vzidT0FoR9ZzD/CgrC40StWrCi4afHJzMz0S1n6n9QIS8+OV7qTwLZt22TChAnyxhtvyJFHHil33HGHNGrUyJYw9u7dqyeNYwUbaI7r16/X8xkxXgetDXEYg8QHnqrQKDFeV7du3aDaJMybq1evFnhdYlWWr776Sl8HkzBWxcH0j1gFjCXCc/aDDz7Qz0Bol2eeeWZUGqZvHYqLi/U8zieeeEJbv+y+UAEFoU/vDRkyRJ577jmpUaOGHlQ+ePCgbNmyRXBj//vf/9amA5/kpT6kICw1Ol7oEgLYvfzXX3+V7777To9pQfOC2Q9jW1gazckBHq4rVqyQJUuWyPLly/UxBB0EJl64oUl6PB6BMCkqKhJowRCUMMPC5Inxv+rVq8cdAUynMANjHBb1hSfuscceq/cRhHKA3eV9FQRow3CKmTNnjjYhYxGDYcOGJaSuZYVBQfh/guPGjdMrUMDUADOGb/j555/l5JNP1l5YWDU9UsBqFlhhPVSA2QFveQwkQAKiJ7FDW8KDFNrSunXr9DEEHub0wUSHT6zG3uZcfpmc+vobtkSPFwBwgLCEMMRLM7w9kx1QJ5iCsVYrhCKecVASMLaIfoEmCUccaLcYO4WmGs2zMtbtWrs7X6Zt/kCua3CnpazbtWuX1DHCxI0qR8CCTh48eHCAEMRlRx11lF5tAm9G0XQuPMzwBhsq4G0ONxYDCZCA6KXOsBYoHvow88HpxN9hI6YvjkrDsvP/H4ZkzABBg48dAjRCK/Mzk8H4r71/KV77LfcvXjqSGWwjCDt06CBjxozR5k//uUKFhYXy3nvvCbTGaAIEJz6hwtSpUwP+0UOlZTwJpDoBmDwTGtL+dmZJaJksLCEEtu8+RDxFGZafr8l+2bCNIMRCu5hfk5ubK61bt9Z2bYwRQgjCNHrNNdfIGWeckZDOZCEkQAIkQALuIWC76RPw6oLXaH5+vnaDxvygE088UQvIWHVLsgdmY9UO5kMCTiSw8ffFklu/pROrzjpHILD/4D7568BOyfFYcyZK9jPZNhqhyRdjgNGMA5rp+U0CJOAsAhSCzuovK7XNKOexLASt5B+vtFxiLV5kmS8JkAAJkIAjCFAQOqKbWEkSIAESIIF4EaAgjBdZ5ksCJBCUwKyRQ4PGM9L5BLaq/QhnFkx1XEMoCB3XZawwCTibQNrCtc5uAGsfkkCR2qF+ZdGSkOfteoKC0K49w3qRAAmQAAkkhAAFYUIwsxASIAESIAG7ErDd9IlEgMI2LZi3YiVgUj9CuXJ8d7DCzT8tFjDGuoi+y1j5p+Hv6Ajs379fJ0zGNkjR1TB4qmOa1JSf1HJudgpYYxRriuLZwFAGAmrf3wo1M+TNapMtZZJs7rabUG+JXgIT9+zZU55++mm9VUsCi025orCTCLaVmT17dsq1LdENeuWVV3SRV155ZaKLTrnyOnbsKDNmzCixm0PKNTIBDcKC7bfeeqveRioBxcWsCKo3MUPJjEiABEiABJxIgILQib3GOpMACZAACcSMAAVhzFAyIxIgARIgAScSoCB0Yq+xziRAAiRAAjEjQEEYM5TMiARIgARIwIkEKAid2GusMwmQAAmQQMwIlH9QhZjllsIZ1ahRQ5o0aSJOm7Nlty7BPMzatWtrlnarm9PqU6VKFalfv77exNppdbdbfWvVqiXNmjXjPMIydkx6erreO7Zhw4ZlzCmxl3MeYWJ5szQSIAESIAGbEaBp1GYdwuqQAAmQAAkklgAFYWJ5szQSIAESIAGbEaAgtFmHsDokQAIkQAKJJUBBmFjeLI0ESIAESMBmBCgIbdYhrA4JkAAJkEBiCVAQJpY3SyMBEiABErAZAQpCm3UIq0MCJEACJJBYAhSEieXN0kiABEiABGxGgILQZh3C6pAACZAACSSWAAVhGN4jR46Uvn37hkxx4MABvRszlhM6+uij5ZNPPgmZ1q0nxo8fLyeccIJeCuyee+4RwzCConjhhRekVatWJT779u0LmtZNkUuXLpUePXpInTp1pFu3brJ58+aQzY+WdcgMUvxEtHxWr15d4j7EfTlt2rQUp2O9eb/++mvE5f2s3L/WaxDDK9SDicGPwP79+42HH37YKF++vHHxxRf7nf3n56OPPmp07drVWL9+vaH+yYzs7Gxjw4YN/yRw+dHixYuNevXqGV9++aWxaNEio3Xr1oYSeEGpXHTRRcbQoUONefPmeT8HDx4MmtYtkepFy2jTpo0xfPhwo7Cw0LjuuuuM0047LWjzrbAOmkGKR1rh89577xknnnii9z7EPblly5YUJ2SteZ9++qn+31ZrB4e80Mr9GzKTBJ3AGzqDHwE8cDp37mwMHjw4rCA87LDDjG+++cZ7dc+ePY0nn3zS+9vtB7fddptmaHJ4//33jeOPP978WeL78MMPN7777rsScW7/8e233xq4x8wXgqKiIqNSpUrGb7/9FoDGCuuAi10QYYXP3Xffbdx5550uoFK6Jn7xxRdGXl6e8dJLLxnhBKGV+7d0NYndVTSNBtGuYcL77LPPRGkzQc7+HaW0Rlm3bp1esd5M1LRpU4FZheFvAuqBLUcccYQXB/jk5+d7f5sHO3fulFWrVskbb7yheZ5yyikyf/5887Rrv8EKzNLS0jQDJQRFPYCCMoyWtVthWuHz008/yfLly6VDhw7SokULefrpp92KLWi7jzrqKP3/evbZZwc9b0ZauX/Na5L1TUEYhDweNgjqfSPI2b+jNm3apM9nZWV50+B469at3t9uP8CLgjIXezGYfPy5rlmzRgvMTp066XHWk046SZTJWTZu3Oi91o0H4JeTk1Oi6SbDEpHqR7Ss/a9zy28rfDA2jRe4d955R+677z5RwyQybtw4t6CK2M7q1atLZmZmxHRW7t+ImcU5QXqc87d99soEKtBIEJQpVHr37h1VnfFAwgN9165dUrlyZX3NX3/9JdjXzI1hwYIFcuONN3qbPn36dC0ElTnPG2fyMTUc80TLli0FA+9mUGOvWjtU4xBy2WWXmdGu+8ZLBJj5BvDEfo7+AWmjYe1/nVt+W+EDa5AZlGla5s6dKx988IH079/fjOZ3FASs3L9RZBfXJK4XhBB+MHMiwDss2lC1alXBB9pM8+bN9WU4htnAjQGes8rZxdv0Qw45RJuWwcQMOA62YeeKFSvkl19+0d6RSKuclARmwNzcXPNSV37DNO/LD17KyhlLGjRoEMDDP20o1gEXuiQiWj54Frz++uvSp08fwcbHCLiXDz30UJeQil0z/ZmHu39jV2opc4rdcGPq5aSmTwQ4y8A5RpnsdGOvvfZaY8CAAcbu3buNhQsXGurBbSxbtiz1QJSyRRhUhxOMGisw/vzzT+1hazoTKS3cmDVrlgHPMnjaKq3aUFqhLmnChAlGjRo1DHjvujns3btX31OTJk3SDjO4H+HNaDrP+N6L4Vi7maHZ9nB8fO9FpIejHLzGEdQLhXZYgpckQ0kCyvQZ4Cyjxvr1sxApI92/JXNL7i+Y9xhCEAgmCBs1amS88sor+go8wOEFqeZ4aS+qF198MURO7o2+5ZZbtJCDl5kyO2vBBxrff/89BmCNHTt2aDjwQFMmUqNx48b64T9z5kz3QvNp+ccff2yocUKjbt26evoJpgGYwfdeRFwo1mZ6t3+H4uN/L/74449Gly5djCZNmuh7F16kxcXFbscX0P5ggvCuu+4yzjzzTG/acPevN5ENDtJQh1Iqk7zs/wTUHCM9sVS5EpNJEAIYu8JtZpqagiTxRhUUFLh2nNULwe9AaYDaCatmzZp+ZwJ/WmEdeHXqx1jhs23bNn3PZmRkpD6YOLbQyv0bx2qEzZqCMCweniQBEiABEkh1AlRhUr2H2T4SIAESIIGwBCgIw+LhSRIgARIggVQnQEGY6j3M9pEACZAACYQlQEEYFg9PkgAJkAAJpDoBCsJU72G2jwRIgARIICwBCsKweHiSBEiABEgg1QlQEKZ6D7N9JEACJEACYQlQEIbFw5MkQAIkQAKpToCCMNV7mO0jARIgARIIS4CCMCweniQBEiABEkh1AhSEqd7DbB8JkAAJkEBYAhSEYfHwJAmQAAmQQKoToCBM9R5m+0iABEiABMISoCAMi4cnSYAESIAEUp0ABWGq9zDbRwIkQAIkEJYABWFYPDxJAiRAAiSQ6gQoCFO9h9k+EiABEiCBsAQoCMPi4UkSIAESIIFUJ0BBmOo9zPaRAAmQAAmEJUBBGBYPT8aKwFtvvSXVq1eXJUuWlMjy6aeflssuu6xEXFl+jBw5Uvr27Vsii6VLl0qPHj2kTp060q1bN9m8ebP3fLhz3kQRDs4++2ypWrWq/uTk5EibNm3kmWeeiXCV9dMXXXSRgGO04fjjj5c5c+YETe6b17hx42TLli063SOPPCKDBw8Oek1ZIsePHy8nnHCC1K9fX+655x4xDCNodgcOHJBbb71VGjZsKEcffbR88skn3nSrV6+WVq1alfhMmzZNn1+/fr2cd955cuihh8o555wj8+bN81736aefyjHHHCN5eXly6aWXytatW/W5999/X4488siAz4cffui9lgfuIEBB6I5+Tnor9+/fL3/88YdcfvnlUlxc7K3Pvn37ZPfu3d7fpT3AAxQP8TvvvLNE/igLD78TTzxRFi9erB/El1xyiS4m3Dkr9di1a5fcfvvtWsh///338vDDD8ujjz4qU6ZMsZJNxLTgBI7Rhscee0xatGgRNLlvXldffbW3D/bu3St79uwJek1pI3/99Ve566675Mknn5SPP/5Y/vOf/8iLL74YNLsnnnhC8HLy9ddfy9133y19+vSRjRs36rT//e9/pUqVKvLSSy95P+hXBLzoQHDm5+dLz5495corr5SDBw/KmjVr5IILLpCrrrpK53v44Yfr8xDEp556qowdO9b7ueKKKwQCFS8yDO4ikO6u5rK1ySTQtm1b2bZtm+BhN2TIkLBVKSgoEAgV/1CvXj39Bu8ff/PNN8vy5ctl0KBB+mFmnkceyOuOO+6QtLQ0/TCuWbOm/P7771ozDHUOmouVkJ2drTUOXNOoUSPp2LGj/Pzzz3L++efrbL755huZPn26bv9RRx0lAwYMkIyMDC0QTj/9dIF2Ak21e/fucsopp+hr8LCeMGGCFgonn3yyjsOfzz77TD/kzzjjDB0HjQ4P+Pbt2+vfzz33nH7Yr1y5Uho3bixob6i8Xn/9df3iMGrUKLnlllv09Uj7zjvvyPz587UmBQEBdr7BSv+8+uqruj5mGyDgIBSvvfZa3yz18ZgxYzQLaHa9e/eWSZMm6brcdttt8tNPP2k2J510UonrUE9otA899JCUK1dO+vfvr7V/CPSZM2dK3bp15YYbbtDXQCA/9dRTuv8bNGggtWvX1vF4McBL2ujRowX3GIO7CFAjdFd/J7W1FStWlNdee02GDRumtbNwlVm1apV+WOKB6fvBgy1YgLkNAsL/IQYNoWnTpt4HeaVKlbTAQny4c8HKCBe3bt06/aCG1vLmm2/KDz/8IBdeeKG+BFoQNJbc3FwtxNGee++9V5+DCRUaCzSxatWqSZcuXeSXX37R5+6//379cD/iiCO0wJw9e7aO//PPP+XBBx/Ux9Co8ZA3TbHQnnAd8vr3v/8t4IgQKq9atWppNqibx+PRaVF/lIVyoWUPHz5cx/v+sdI/v/32m87LvB79Afb+AdouODZr1sx7CmlhEkWAIMTLTocOHbSmC7M6AjROmDihKeKlAhYA5IG+rlGjhlSuXFmnwx8IeWiKyMc3QIiivdBAGdxHgBqh+/o8qS2G1nLdddfpt29oSaEC3vo///zzUKcD4jH+g4AHnW/AgxXjdr4hKytLjxOFO+ebPppjaD3Q3mBu3bRpk3Tq1EkgZBDwAoCxvdNOO03/3rlzZ4m2nXnmmfLAAw/oc7NmzRJwwYP88ccfl6+++kqbdWHqM9uB9NB6IBAhHFq3bq0FF9oOrRNjltA2zQBhGSovpIUWhTFDaI4Ixx57rBYqOIaA/uKLL3BYIljpH3CGxmwGkz/q66tpghvicN4MOIZmi4B2wPwJAQ/T6Y033qgFPsyZc+fO1dfBNA7WvXr1kgULFmgWYAeNF9o2roXA9R0nhjYIU+3kyZPNYvntMgIUhC7rcDs0F2NocF6AplG+fPmgVVq0aJH3YeyboF27dtpk5hsX7hgP4L/++qtEkqKiIm0SgyAJda7EBVH8gMYF8ywCxisHDhyonYCgDcJJ5Nlnn9UmOTgL4XyTJk28uZoCEhHQ5CB8ME4GDQ3mZAQINtO0eMghh2gTIV4UoHnChAiTHkyxcB7p16+fvsb8Ey4vM43vNzQjM8BEDHO2f7DSP+gDMDcDmJuaqBmHbwg9CEKMuZpanJkW56Hxm+Gwww7Twu+DDz7QZmgI1FdeeUUzg2kZJk+0G22B6RimeDhSwSQNIe5r+kYeMJ9izJDBnQQoCN3Z70lttWkihRnQNB/6Vwhp8LDzDxAUVgJMpXCYMAOE0IYNGwTjQ3jghjpnpi/Nd3p6ulx88cVeM9v111+vtUSYbyHY4KDh65lYoUKFgGLwIEf9MBYHsyWC6dmJY3hIzpgxQxYuXKgf9DD1QehCM/L3LI2UF/LzDai/GSCYggUr/ePfB2AOr1D/YHre4nzz5s31aRxjTBVaHMYzYbqEwwwCXggwloj7BN+maTczM1N7KGMcGOO10HAhuBGgsWMMFWOnZgAvvLgwuJiAutEZSCDuBJTp0FBv6iXKUQ4QeMoayixXIr4sP9Rbv6GEkDcLpV0ZSpAYyunCUGNDBs4rT0N9HO6cN4MoDpQmYSjt1ti+fbuhtExjxYoVhjI5Gmqqhr5ajWkZyjSnj5VwM5RGYiAOQWkshjI96mP8US8G3rTKDGio8VRdV6X5GUrrMcARYe3atbpdSgjo31OnTjXU9BRvmYhUwsRQWpQ+Hy4vZXI11LikTnffffcZynStj/FHaUuG0sK9v0tzgPYpZx5DjQtqPl27djXUOKnOSpmJDWUONtQLiv6tHGgMpbUZylxpKCGv27hs2TJ9rnPnzoayJuhjJSANtF1NjTCQhzLretuqxpENJSx1WerlQXNRLz/6uueff95QpmV9bP5R2qmhTK3mT367kABMEQwkEHcCwQQhHnZqLCyughANU5qSgYe9Mn8ZajzNUNMovO0Nd86bKMIBBCEEOj4QVniwQribD181bmcoDcRQ8/oMNQ/OUI4uhprTaCjtJKwgVGNjhnICMZRGpa9X46teQYgqHXfccYZyDNG1gxBWmpyhtE1vbX0FYbi88OKgTK+GMqsa8RCEqJDySDWUudNQY7mGMuV6BZ/y6tXcduzYoesNZuAEPkirxu687fnxxx8NZUUwlFlZ56W8TzVDJIBARP/ixQIvPmr+ofc6pQFqfmCvxm4N5VDkPVdYWKjLxwsMg3sJpKHpLlaI2XSXEICnICZSmw4hvs0Od843XVmPYeY0HWis5IV6wyTs61hi5XrftKHywhgevCxjUYZveb7HKAOPG9O06XvO/xhmYCzAAEce/4AxS+Th6xBkpoHDDRZO8A/oYzgp+Tri+Kfhb/cSoCB0b9+z5SRAAiRAAopA4OsWsZAACZAACZCAiwhQELqos9lUEiABEiCBQAIUhIFMGEMCJEACJOAiAhSELupsNpUESIAESCCQAAVhIBPGkAAJkAAJuIgABaGLOptNJQESIAESCCRAQRjIhDEkQAIkQAIuIkBB6KLOZlNJgARIgAQCCVAQBjJhDAmQAAmQgIsIUBC6qLPZVBIgARIggUACFISBTBhDAiRAAiTgIgIUhC7qbDaVBEiABEggkAAFYSATxpAACZAACbiIAAWhizqbTSUBEiABEggkQEEYyIQxJEACJEACLiJAQeiizmZTSYAESIAEAglQEAYyYQwJkAAJkICLCPwPvAcuxxQFTXYAAAAASUVORK5CYII=" /><!-- --></p>
<p>The bootstrap sampling can do weird things with small trees. In this
case we had many times that the two trees got perfect correlation. The
usage and interpretation should be done carefully!</p>
</div>
<div id="cophenetic-correlation" class="section level4">
<h4>Cophenetic correlation</h4>
<p>The cophenetic distance between two observations that have been
clustered is defined to be the inter-group dissimilarity at which the
two observations are first combined into a single cluster. This distance
has many ties and restrictions. The cophenetic correlation (see sokal
1962) is the correlation between two cophenetic distance matrices of two
trees.</p>
<p>The value can range between -1 to 1. With near 0 values meaning that
the two trees are not statistically similar. For exact p-value one
should result to a permutation test. One such option will be to permute
over the labels of one tree many times, and calculating the distribution
under the null hypothesis (keeping the trees topologies constant).</p>
<div class="sourceCode" id="cb173"><pre class="sourceCode r"><code class="sourceCode r"><span id="cb173-1"><a href="#cb173-1" tabindex="-1"></a><span class="fu">cor_cophenetic</span>(dend15, dend51)</span></code></pre></div>
<pre><code>#&gt; [1] 0.3125</code></pre>
<p>The function <code>cor_cophenetic</code> is faster than
<code>cor_bakers_gamma</code>, and might be preferred for that
reason.</p>
</div>
</div>
<div id="the-fowlkes-mallows-index-and-the-bk-plot" class="section level3">
<h3>The Fowlkes-Mallows Index and the Bk plot</h3>
<div id="the-fowlkes-mallows-index" class="section level4">
<h4>The Fowlkes-Mallows Index</h4>
<p>The Fowlkes-Mallows Index (see fowlkes 1983) (FM Index, or Bk) is a
measure of similarity between two clusterings. The FM index ranges from
0 to 1, a higher value indicates a greater similarity between the two
clusters.</p>
<p>The dendextend package allows the calculation of FM-Index, its
expectancy and variance under the null hypothesis, and a creation of
permutations of the FM-Index under H0. Thanks to the profdpm package, we
have another example of calculating the FM (though it does not offer the
expectancy and variance under H0):</p>
<div class="sourceCode" id="cb175"><pre class="sourceCode r"><code class="sourceCode r"><span id="cb175-1"><a href="#cb175-1" tabindex="-1"></a>hc1 <span class="ot">&lt;-</span> <span class="fu">hclust</span>(<span class="fu">dist</span>(iris[,<span class="sc">-</span><span class="dv">5</span>]), <span class="st">&quot;com&quot;</span>)</span>
<span id="cb175-2"><a href="#cb175-2" tabindex="-1"></a>hc2 <span class="ot">&lt;-</span> <span class="fu">hclust</span>(<span class="fu">dist</span>(iris[,<span class="sc">-</span><span class="dv">5</span>]), <span class="st">&quot;single&quot;</span>)</span>
<span id="cb175-3"><a href="#cb175-3" tabindex="-1"></a></span>
<span id="cb175-4"><a href="#cb175-4" tabindex="-1"></a><span class="co"># FM index of a cluster with himself is 1:</span></span>
<span id="cb175-5"><a href="#cb175-5" tabindex="-1"></a><span class="fu">FM_index</span>(<span class="fu">cutree</span>(hc1, <span class="at">k=</span><span class="dv">3</span>), <span class="fu">cutree</span>(hc1, <span class="at">k=</span><span class="dv">3</span>))</span></code></pre></div>
<pre><code>#&gt; [1] 1
#&gt; attr(,&quot;E_FM&quot;)
#&gt; [1] 0.37217
#&gt; attr(,&quot;V_FM&quot;)
#&gt; [1] 5.985372e-05</code></pre>
<div class="sourceCode" id="cb177"><pre class="sourceCode r"><code class="sourceCode r"><span id="cb177-1"><a href="#cb177-1" tabindex="-1"></a><span class="co"># FM index of two clusterings:</span></span>
<span id="cb177-2"><a href="#cb177-2" tabindex="-1"></a><span class="fu">FM_index</span>(<span class="fu">cutree</span>(hc1, <span class="at">k=</span><span class="dv">3</span>), <span class="fu">cutree</span>(hc2, <span class="at">k=</span><span class="dv">3</span>)) </span></code></pre></div>
<pre><code>#&gt; [1] 0.8059522
#&gt; attr(,&quot;E_FM&quot;)
#&gt; [1] 0.4462325
#&gt; attr(,&quot;V_FM&quot;)
#&gt; [1] 6.464092e-05</code></pre>
<div class="sourceCode" id="cb179"><pre class="sourceCode r"><code class="sourceCode r"><span id="cb179-1"><a href="#cb179-1" tabindex="-1"></a><span class="co"># we got a value far above the expected under H0</span></span>
<span id="cb179-2"><a href="#cb179-2" tabindex="-1"></a> </span>
<span id="cb179-3"><a href="#cb179-3" tabindex="-1"></a><span class="co"># Using the R code:</span></span>
<span id="cb179-4"><a href="#cb179-4" tabindex="-1"></a><span class="fu">FM_index_R</span>(<span class="fu">cutree</span>(hc1, <span class="at">k=</span><span class="dv">3</span>), <span class="fu">cutree</span>(hc2, <span class="at">k=</span><span class="dv">3</span>))</span></code></pre></div>
<pre><code>#&gt; [1] 0.8059522
#&gt; attr(,&quot;E_FM&quot;)
#&gt; [1] 0.4462325
#&gt; attr(,&quot;V_FM&quot;)
#&gt; [1] 6.464092e-05</code></pre>
<p>The E_FM and V_FM are the values expected under the null hypothesis
that the two trees have the same topology but one is a random shuffle of
the labels of the other (i.e.: “no connection” between the trees).</p>
<p>So for the values:</p>
<div class="sourceCode" id="cb181"><pre class="sourceCode r"><code class="sourceCode r"><span id="cb181-1"><a href="#cb181-1" tabindex="-1"></a><span class="fu">FM_index</span>(<span class="fu">cutree</span>(hc1, <span class="at">k=</span><span class="dv">3</span>), <span class="fu">cutree</span>(hc2, <span class="at">k=</span><span class="dv">3</span>)) </span></code></pre></div>
<pre><code>#&gt; [1] 0.8059522
#&gt; attr(,&quot;E_FM&quot;)
#&gt; [1] 0.4462325
#&gt; attr(,&quot;V_FM&quot;)
#&gt; [1] 6.464092e-05</code></pre>
<p>We can take (under a normal asymptotic distribution)</p>
<div class="sourceCode" id="cb183"><pre class="sourceCode r"><code class="sourceCode r"><span id="cb183-1"><a href="#cb183-1" tabindex="-1"></a><span class="fl">0.4462</span> <span class="sc">+</span> <span class="fl">1.645</span> <span class="sc">*</span> <span class="fu">sqrt</span>(<span class="fl">6.464092e-05</span>)</span></code></pre></div>
<pre><code>#&gt; [1] 0.4594257</code></pre>
<p>And since 0.8059 (our value) &gt; 0.4594 (the critical value under
H0, with alpha=5% for a one sided test) - then we can say that we
significantly reject the hypothesis that the two trees are
“not-similar”.</p>
</div>
<div id="the-bk-plot" class="section level4">
<h4>The Bk plot</h4>
<p>In the Bk method we calculate the FM Index (Bk) for each k
(k=2,3,…,n-1) number of clusters, giving the association between the two
trees when each is cut to have k groups. The similarity between two
hierarchical clustering dendrograms, can be investigated, using the
(k,Bk) plot: For every level of splitting of the two dendrograms which
produces k clusters in each tree, the plot shows the number Bk, and
therefore enables the investigation of potential nuances in the
structure of similarity. The Bk measures the number of pairs of items
which are in the same cluster in both dendrograms, one of the clusters
in one of the trees and one of the clusters in the other tree, divided
by the geometric mean of the number of pairs of items which are in the
same cluster in each tree. Namely, <span class="math inline">\({a_{uv}}
= 1\left( {or{\rm{ }}{{\rm{b}}_{uv}} = 1} \right)\)</span> if the items
u and v are in the same cluster in the first tree (second tree), when it
is cut so to give k clusters, and otherwise 0:</p>
<p><span class="math display">\[{FM_k} = {B_k} =
\frac{{\sum\limits_{}^{} {{a_{uv}}{b_{uv}}} }}{{\sqrt {\sum\limits_{}^{}
{{a_{uv}}} \sum\limits_{}^{} {{b_{uv}}} } }}\]</span></p>
<p>The Bk measure can be plotted for every value of k (except k=n) in
order to create the “(k,Bk) plot”. The plot compares the similarity of
the two trees for different cuts. The mean and variance of Bk, under the
null hypothesis (that the two trees are not “similar”), and under the
assumption that the margins of the matching matrix are fixed, are given
in Fowlkes and Mallows (see fowlkes 1983). They allow making inference
on whether the results obtained are different from what would have been
expected under the null hypothesis (of now particular order of the
trees’ labels).</p>
<p>The <code>Bk</code> and the <code>Bk_plot</code> functions allow the
calculation of the FM-Index for a range of k values on two trees. Here
are examples:</p>
<div class="sourceCode" id="cb185"><pre class="sourceCode r"><code class="sourceCode r"><span id="cb185-1"><a href="#cb185-1" tabindex="-1"></a><span class="fu">set.seed</span>(<span class="dv">23235</span>)</span>
<span id="cb185-2"><a href="#cb185-2" tabindex="-1"></a>ss <span class="ot">&lt;-</span> <span class="cn">TRUE</span> <span class="co"># sample(1:150, 30 ) # TRUE #</span></span>
<span id="cb185-3"><a href="#cb185-3" tabindex="-1"></a>hc1 <span class="ot">&lt;-</span> <span class="fu">hclust</span>(<span class="fu">dist</span>(iris[ss,<span class="sc">-</span><span class="dv">5</span>]), <span class="st">&quot;com&quot;</span>)</span>
<span id="cb185-4"><a href="#cb185-4" tabindex="-1"></a>hc2 <span class="ot">&lt;-</span> <span class="fu">hclust</span>(<span class="fu">dist</span>(iris[ss,<span class="sc">-</span><span class="dv">5</span>]), <span class="st">&quot;single&quot;</span>)</span>
<span id="cb185-5"><a href="#cb185-5" tabindex="-1"></a>dend1 <span class="ot">&lt;-</span> <span class="fu">as.dendrogram</span>(hc1)</span>
<span id="cb185-6"><a href="#cb185-6" tabindex="-1"></a>dend2 <span class="ot">&lt;-</span> <span class="fu">as.dendrogram</span>(hc2)</span>
<span id="cb185-7"><a href="#cb185-7" tabindex="-1"></a><span class="co"># cutree(tree1) </span></span>
<span id="cb185-8"><a href="#cb185-8" tabindex="-1"></a></span>
<span id="cb185-9"><a href="#cb185-9" tabindex="-1"></a><span class="co"># It works the same for hclust and dendrograms:</span></span>
<span id="cb185-10"><a href="#cb185-10" tabindex="-1"></a><span class="fu">Bk</span>(hc1, hc2, <span class="at">k =</span> <span class="dv">3</span>)</span></code></pre></div>
<pre><code>#&gt; $`3`
#&gt; [1] 0.8059522
#&gt; attr(,&quot;E_FM&quot;)
#&gt; [1] 0.4462325
#&gt; attr(,&quot;V_FM&quot;)
#&gt; [1] 6.464092e-05</code></pre>
<div class="sourceCode" id="cb187"><pre class="sourceCode r"><code class="sourceCode r"><span id="cb187-1"><a href="#cb187-1" tabindex="-1"></a><span class="fu">Bk</span>(dend1, dend2, <span class="at">k =</span> <span class="dv">3</span>)</span></code></pre></div>
<pre><code>#&gt; $`3`
#&gt; [1] 0.8059522
#&gt; attr(,&quot;E_FM&quot;)
#&gt; [1] 0.4462325
#&gt; attr(,&quot;V_FM&quot;)
#&gt; [1] 6.464092e-05</code></pre>
<p>The Bk plot:</p>
<div class="sourceCode" id="cb189"><pre class="sourceCode r"><code class="sourceCode r"><span id="cb189-1"><a href="#cb189-1" tabindex="-1"></a><span class="fu">Bk_plot</span>(hc1, hc2, <span class="at">main =</span> <span class="st">&quot;WRONG Bk plot </span><span class="sc">\n</span><span class="st">(due to the way cutree works with ties in hclust)&quot;</span>, <span class="at">warn =</span> <span class="cn">FALSE</span>)</span></code></pre></div>
<p><img role="img" src="data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAcIAAAHCCAYAAAB8GMlFAAAEDmlDQ1BrQ0dDb2xvclNwYWNlR2VuZXJpY1JHQgAAOI2NVV1oHFUUPpu5syskzoPUpqaSDv41lLRsUtGE2uj+ZbNt3CyTbLRBkMns3Z1pJjPj/KRpKT4UQRDBqOCT4P9bwSchaqvtiy2itFCiBIMo+ND6R6HSFwnruTOzu5O4a73L3PnmnO9+595z7t4LkLgsW5beJQIsGq4t5dPis8fmxMQ6dMF90A190C0rjpUqlSYBG+PCv9rt7yDG3tf2t/f/Z+uuUEcBiN2F2Kw4yiLiZQD+FcWyXYAEQfvICddi+AnEO2ycIOISw7UAVxieD/Cyz5mRMohfRSwoqoz+xNuIB+cj9loEB3Pw2448NaitKSLLRck2q5pOI9O9g/t/tkXda8Tbg0+PszB9FN8DuPaXKnKW4YcQn1Xk3HSIry5ps8UQ/2W5aQnxIwBdu7yFcgrxPsRjVXu8HOh0qao30cArp9SZZxDfg3h1wTzKxu5E/LUxX5wKdX5SnAzmDx4A4OIqLbB69yMesE1pKojLjVdoNsfyiPi45hZmAn3uLWdpOtfQOaVmikEs7ovj8hFWpz7EV6mel0L9Xy23FMYlPYZenAx0yDB1/PX6dledmQjikjkXCxqMJS9WtfFCyH9XtSekEF+2dH+P4tzITduTygGfv58a5VCTH5PtXD7EFZiNyUDBhHnsFTBgE0SQIA9pfFtgo6cKGuhooeilaKH41eDs38Ip+f4At1Rq/sjr6NEwQqb/I/DQqsLvaFUjvAx+eWirddAJZnAj1DFJL0mSg/gcIpPkMBkhoyCSJ8lTZIxk0TpKDjXHliJzZPO50dR5ASNSnzeLvIvod0HG/mdkmOC0z8VKnzcQ2M/Yz2vKldduXjp9bleLu0ZWn7vWc+l0JGcaai10yNrUnXLP/8Jf59ewX+c3Wgz+B34Df+vbVrc16zTMVgp9um9bxEfzPU5kPqUtVWxhs6OiWTVW+gIfywB9uXi7CGcGW/zk98k/kmvJ95IfJn/j3uQ+4c5zn3Kfcd+AyF3gLnJfcl9xH3OfR2rUee80a+6vo7EK5mmXUdyfQlrYLTwoZIU9wsPCZEtP6BWGhAlhL3p2N6sTjRdduwbHsG9kq32sgBepc+xurLPW4T9URpYGJ3ym4+8zA05u44QjST8ZIoVtu3qE7fWmdn5LPdqvgcZz8Ww8BWJ8X3w0PhQ/wnCDGd+LvlHs8dRy6bLLDuKMaZ20tZrqisPJ5ONiCq8yKhYM5cCgKOu66Lsc0aYOtZdo5QCwezI4wm9J/v0X23mlZXOfBjj8Jzv3WrY5D+CsA9D7aMs2gGfjve8ArD6mePZSeCfEYt8CONWDw8FXTxrPqx/r9Vt4biXeANh8vV7/+/16ffMD1N8AuKD/A/8leAvFY9bLAAAAOGVYSWZNTQAqAAAACAABh2kABAAAAAEAAAAaAAAAAAACoAIABAAAAAEAAAHCoAMABAAAAAEAAAHCAAAAAOQBvRMAAEAASURBVHgB7F0HmBTV0i2SRCUKIqIoIIiCoiD8KIKYUBGVZ0JMPBEzKipizjlgxIQBFQUxYwKzIhKMYEBEJUpGcob+65Tvjr2TdmZnZqdn5tT37Xa6ffve0z1dXbmMpyQkIkAEiAARIAIFikDZAp03p00EiAARIAJEwBAgI+SDQASIABEgAgWNABlhQd9+Tp4IEAEiQATICPkMEAEiQASIQEEjQEZY0LefkycCRIAIEAEyQj4DRIAIEAEiUNAIkBEW9O3n5IkAESACRICMkM8AESACRIAIFDQCZIQFffs5eSJABIgAESAj5DNABIgAESACBY0AGWFB335OnggQASJABMgI+QwQASJABIhAQSNARljQt5+TJwJEgAgQATJCPgNEgAgQASJQ0AiQERb07efkiQARIAJEgIyQzwARSAMCmzZtkhkzZsjGjRvT0FvRLpYtWyazZs0SXINEBIhA+hEgI0w/puwxiwj8/PPPUqZMGSlXrpysXLkyNJI+ffrYfhwbP358aP9tt91m+4855hgZO3ZsqA3auX5q1Kgh++23n3z77beh89zKmDFjZJ999pGqVavKzjvvbEtsf/rpp66JLS+99FLrb/fddy/C0FatWmX7q1SpUqT9li1bpH///tK0aVOpVauW7LTTTlK5cmXp2bOnMcUijcM2tt9++yLzABaYQ5s2beTNN98MtX7llVes3aGHHhral46VTz75xPoFDsnQihUr5Pbbb0/mFLYlAmlBgIwwLTCyk6AgsNtuuxnjACP5+uuvQ8P6+OOPQ+uff/55aH3ChAm2vv/++4f2lS1bVnbccUdp2LCh1K9fX9asWSPjxo2Tjh07ypw5c0LtXnrpJTnssMOMQYKRgVlus802tt2lSxcZMmRIqK1bAaN+6KGH3GbUped5ctZZZ8mgQYPkzz//FDDPXXbZxRjo8OHD7ZpgoMXRDjvsILvuuqudCzy++eYbOe644+S7774r7tRSP/7XX38Z03/wwQdL/dq8IBEgI+QzkFcIQIoDQwJNnDjRllBZgqE48jNC1wZMzlH16tVl5syZJnmB8f36668mUYEhOoYKaRMSG+jYY48VvMghUc6bN09OP/10ATO78sorZfny5a7b0PKGG26QBQsWhLbDV2699VZ5+umnZdttt5Uvv/xSpkyZIr///ruMGjXKJK2pU6fKq6++Gn5axPYzzzxjY//tt99sfJDQoF4dPXp0RNts7wBOCxcuzPYweP0CRYCMsEBvfD5P2zFCJ+1BVQc66qijjJGAuUBCgt1t/vz5Amlu7733jgkJVJ4tW7a043///bctP/vsMzu3Zs2axrSgtgRVqFBBHn30UZMkFy9eLC+++KLt9/+DCnDAgAH+XUXWX3vtNdu+4447pF27dqFj3bp1s74fe+wx+b//+7/Q/kRWqlWrJo0bN7amderUiXoKJMXWrVvLnnvuKf6PBX/jgQMHSqtWreTdd9+VE088UWrXrm3YvPHGG/5mEetr166Vyy67zPrHh0aHDh3knXfesXZggFBNg4AZ+nf3zHbyHxHIMALlM9w/uycCpY6AU3M6ac9JcSeffLJJepMnTxb8TZ8+3cYGZgMG5ghSE1ShkOo2bNgg33//vYCpQmUK1SIIUhrogAMOMGnRNv73D0zxoIMOkhdeeEEgvfnpP//5j7z++uvy/PPPyznnnBNisK4NVJ4YGwiMO5zOPvvs8F0xt5977jmTUjdv3iyQCiFF7rHHHibBhp+Ej4IjjzzSJNr77rvP5hXeBttoh7nDVokPiAYNGtg2pOIvvvhCHPb+c9evXy9HH320fPDBB2bnBEP+6quvBIwdki+uiw8TR/51t49LIpBJBMgIM4ku+84KAnAKqVixosydO9f+wAihMoXdbtKkScZoIPE4e59fLYoBQ+3ppEo3gSZNmsg111xjL37s++WXX+wQGEE0gm0RBLWsn8B0ofKEVHfBBReEVK2uDZgMGFf58uWtndvftWtXcdIo9u21117y+OOPu8NRl2C24QRGDCnWT1BLHnHEEcYEMcdLLrnEfzjqOpx3gCVw/u9//ytQw951111RGSGccsAEGzVqZOpqzP/JJ5+Uvn37mnoZTPWtt96SFi1aCKTVH3/8Meo1uZMIZAoBqkYzhSz7zRoCeDmDGYLADGC/g2qzbt26cvDBB9t+MEKnOg1nhJUqVZKrr77aJBU03nrrrWXEiBFm+7OT9R9e5qBYdi23f7vttrN2/n/wjMRY4IUKhuAneImCIJVCTegIaktIuO7PMWJ3PNrylltukbffflugtnzqqadMGrzxxhuNAfnbo8+ffvrJdkWT6Pxt3TqkVeAMcmpNOAJFI6fmRDuH2ymnnGLSIUJDEplLtH65jwikCwEywnQhyX4ChYB7od9///02LqgqQVBlQg0KRggvSkhe7du3t2PuH1SbjonAIQYSIs7zv7CbNWtmzaFCXbdunTvVlmBicJwBuXa28b9/CGW49957beumm27yHzKJyNnyIEU5gkoSdrZ77rnH7Sp2CekTakeoJSG1DR482M4ZOXJkRLwjbIMgzBfjL4786ksX+hHrPNcWHrWOcA8cI4X6mUQEsokAGWE20ee1M4aAU20670wnCSLeD4xv0aJFsnr1alMxwpEkFkF6gzSJtpBiXMB8jx49LEwD0ubFF18c2o+X/lVXXWVenpAkTzrppKhdo68DDzywSKyja+jskPA6dcwXTAOMEIy3pAS7HAi2TsQWOoLdENJx586dBVIdnH2KI8RPOnIxk06adfvd0jn2IIbRMUWcA2lwq622svAQfJCA3HF3LpdEoFQQUIcAEhHIOwSWLFniqV3Q0x+Rp9KHp1JdaI6qHrT9OKZMLLRfnT1sv9rQQvuwopKjpy9qO6aSYujYs88+G7qG2go9jSn01HZm7XDtRx55JNRWJS3br3a00D5lcp4yAtuvUmhov9oIveOPP972KwP0lJF4KuF6KnnZPoz7oosuCrUPX1H7pLVTydJTW6KnXpieer5GnKuSoe075JBDrAuNu7T5aAC/B/yikdrzQv20bdvWO+200wxfjEmdgOwUtclaG/XEtW0NKfE0DtL2aVyjpx8BHuaFc1QitjbqvWvbyqQ9TX7gqcQe7fLcRwQyggA840hEIC8RUOcLe7mCifhJwydsP17E6kkZOhSLEaLBtddea+eo/dBTb9Mi52h8XohRqqRljOfDDz8MtcFKNEaI/WqLtH79jBD71dPSjql6M8RowKDAtML7Rns/OUaI+eEPzAXjBmPE9VSqtebhjBA7Tz31VDtHHXn8XYbWHSO88MILPU1eYG3B1FRyDrUJZ4Q4oI5JNnbME2NSNamHjwIwfUdqQ7Rj+Ih44okn3G4uiUDGESiDK+iDSSICRCAFBGDnmj17tnmVwtkmnYRA/qVLlwoyxWSbEIKCjDpQnyL8A3OuV6+eqTgTGRtwQuwmsvbAkzec4OkLlbLfnhjehttEIN0IMHwi3Yiyv4JEALYu5+SSbgDgjOIcUtLdd6r9gaElQ8AJ6etiUaxwlFjtuZ8IpAMBOsukA0X2QQQKBAE47YApO+eWApk2p5nnCFA1muc3mNMjAkSACBCB+AhQIoyPD48SASJABIhAniNARpjnN5jTIwJEgAgQgfgIkBHGx8fSc6EEDokIEAEiQASKRwCewcgXiyQUuUJkhHHuFLKIIENJvKrZGl9mbuCXX355nJ7ScwgJmaOV9Um29/BK4B999JHNQQOkk+2qYNqnC/sgA5apivXJzBlJtxFW8ccff4ROC8ceYRtoc/fdd4faJLIS/twjByr6QZ3GTFG6rqExpDbWGWFJ3JMZd7rGEu2a/nsETJGl6Prrr4/WNJD7yAjj3BaUscGDFytNVpxT034IJX2QD3L8+PEp9c1K4MnDly7sk79y4Z0Bb1T84WUKShf20Z57XMNdL1NIl8Y1MjX2RPsNv0fII4sqJ6iwohmKEu0mq+3ICGPAjwTCt912mwULIydktglfyCjPkyqxEnjyCKYL++SvXHhnINgemhgUQwalC/tozz2kFlzLVSHJBNqlcY1MjDuZPqPdI5TWgmp00KBByXSVtbZkhDGgh+SFG6w5H4skKNb8kaL5Eq0y9xlnnCFQt/gJlctRYbt3796h3aiIjn2aviq0D6oEVERAtW70h7I/+FFGI3xx4bogqEb9qhwUce3Vq5dlHdl+++1tvDNnzozWjZUMciVzYlUCHzJkiDRv3tzmh/H655fMmFH2B3N++OGHQ2PBBwX2ucoMkLaxjQoJIBSPPfPMMw0P1MxDsuahQ4fasZdfftnaAnM/oSAs+gDG0Qg1B0844QSrGI8aemeddZb88MMPoaZQB+N8/5crknJjH0opxcIeVRrQBllWUGECCadhF0FhXajukAUGpZYwPlSO8JMriYQMKvvuu6+VSvIf96+jCjyuM23aNNuNihnYRoV3lxRK05HZvgceeMDaxKsGjwbvv/++tUeFDST4Rmmkhx56yM71/4tWsR7JtjFmjN1Vmo+VCLwkzwCqfGB+uG+xsHdjxIsW9xM4I5nBgw8+6A4VWeI+RnvuUX4K1/JrfIp7xpOZPwYRfg0kPsc1kZgd9SR33313S96O++x/BotMwLeB8XXq1Mky7+A51fywvqMio0ePtt8N7g3uE+pLIjNRNEr0XRVvzrHuEe4jSpCh4ol7TqONITD7kGKNFIkAEibrTfL0xxw6iCTL2Ic/LfLq6Y0OJV2+7LLLrN2oUaPsuD4IofPee+8924fkySB9MXpaBcH26RdjKCGxlsoJneNfURWtpz92a498k0ikDNIXr6c2FduPZM+ujZb58TT1lb8LW9dKDJ4WmLX2qhLy9EfoIS8kcldiTtiH5NH6YvBq165t+5AjE5TsmLWqu53v5vzrr7/aNq6jP07rU5mk7UPeSuScRFscP/zwwz0tFBvK34lk0Poys5ybyOWJdZB+qFh7YILcnOGkTMlThmRtGjVq5Km919aVaXnKLKw5cnDimkj67EirUdg+5MeMhb1Wn7A2yJ2pTMED5lqOydOPG9uPJNfK+G0dzwnGAlJ1ke1DAm2t6Rd6DvCMRCOXi1S/rO0wkn5jvPhThm779MVo28iVijEgHymOY2xaWSLUXqvBW3tl3qHjuOcYixbG9fy5R/VjynM5S7VivZ0HzDSdmj1n559/vnf66adbHlM8M5oCztr4/yX7DOBc99ypg1pM7M8++2wbP8aOXKxaZio0R2U0/iHYeqznPjwnanHPeLLzx8XDr6FMxcaqjMreH/qRZs8O7les/K7oB4ng0QbvDf24sny22Mbv3uVrdX1jP/Lr4hjWtdAyuogYSyLvquLmHOv3geshCT2uj99p0IlJt2PcIfdjw8PlSMvx2I299dZbbZd7SHCzk2GEeIngHJUcrB/1svLwMsdLHj/GaOQqJoBpOOrevbv1g2z9Kk3ay71bt262D8mTo5GW2bHjeDk78jPCP//803brl561cwy9JGMGM8CcUMlAvwytP8wbDAkEZodtNeIbo8CPCszRkXuhYywg98IDMwGps4Sdf+6559p2+D+8wNE/qiSoqtsO476CiWl1ddsujhGiUTTsHSNEwm1gryWFPP3CtuuBWWAfCB83GIPWRbRt97GiDkq27T6SHCa20/cP48T5hx56qO11zNX1ieuCIeCaeCG6+wbG7z4YkMAa7cGs8cw6RojztCCvYY/xOkaokoR9JOEc99GCi7uxYs6qTrTrvfvuu55K+J5KHb5R/7uazDOAs/yMENvRsHe/TWCmZZvQLPRsqGRr2+H/oj334UyquGe8JPMPv4ZjVkhU7n5rqoWx+xPrGcBcHCN0H0T4sEJVFdwjMHqQ+5B0CdDxu1PNgVXzwH0PH0sijDCROUe7RxiPandsfLhO0ImqUX2SohFUjiCXS1FvZEg9hUKnICRXhpqiOMK5fnKqOYRlKGOzYqhQNcEG6CqF+9tHW0fdNhSXBaHoqr7UbDxaFsf2xVJX2cEY/zBXfYHaUZfz0alGSzJmqKMwJxSY1R+hjRHqYKiLoAZSBmiFaFEhHnUCUeMPai6oR6GedYVpVdqzMTl1s76wbRtejiA3Z9vw/XP3UBlqSL0NA75WnAhVsPc1D62G36/QgSgrUH0Ce6iiHEZIQaZf4XZvnZoaY4H9C2o6EOaAe4/q8SB3rm34/rVp08aeQdxrYIb7CrsTcnZ+qjX9gBHs2XgmUWcQmIKAfXHV4KGW0wodhj3m4ChWxXqo5JFgG+pZFP1VpiX68WL3WKVPd3qRZTLPQJETE9hA8WXnVBP+vCZwekQTdw9i/S5LMv+Ii/xvh2pmQr81LVFle1EAujjCbwWE3wsKPINg/wRBbQrq2rWrLeFpCpPBk08+ae8G21nMv/BnP5U5u3cnTAZBJzLCGHfI6dXdDxyMxxUNVSkndFasoq7+at3uRe5OcufjAUb2fvyputNeZsjlmCi58fgz9bvxIJYnWcKLzZEbo7uG205mzGASoHfeecde0Hipg9mp9GEV4PUrVVSqNSb1999/28sV9jzYw2ALdE5KeMGDVIK0lzsYAF7GeGHDNhdeYd4a6z+Hu3thuP3Rlv77lQx2fszcODE/d19xP8Ck4PyBlzb+0A5ejGgD5ojj+ECIdV0cV5WnqCbC5gTMYCOEjUe/tm06wBXk7pf/mYhVDd4/djvZ9y9axXowVtjOUYgYNjkU1h0+fLh9DMZ62SXzDPgun9Cqf/zu+XTzT6iDsEauj1jPeEnmH3aJ0CY+lhz5P0LcvljLaHMG88K83fOTyPPu79//7LvfjDueypzduyicubq+g7QkI4xxN/ClDHJf8PiRuC83fwiDk1pcN5AMQPh6d+SqjLtt1Z3bKl70kAjwh5ebqmaMGbh2/qX7kbofOl6mMIaDXnvttVBTJ2FoUdTQPv+K+9G5fvzH4q2XZMyq6jHGNWLECMMDVeIhnYFgRAe5FziYJaRhMAS1dcnAgQNDUpz7IeGFjsrukDIhBWM/tmMRpEqQ35Gmb9++JgVpEVk75u4XyhyBtNZghNNSOPbW8H//IJk5cl/i2OfuqxbQNScptaeZNIUPHmB/3XXXWRs4QeHew6nB35frE0vHTJzDFDAClvh4ACPCHNRmbaeoesyW8arBWwP9F+t6sSrW4zlW1Z7dI+Ckqj1RO6d1N2zYMNdtkWUyz0CRE/+3EQ/7aO1j7UvkuS/uGS/J/GONx0mysY4nux/vA3wUgtzzjg9NfLDgo2nRokURXbpnP967KpE5x7pHTlJ144oYQJB26MuEFAWBm2++2fTb+kILHYX9Qe+dpw+QpwH0nn41mw0M+5yNUB+4kAMNbBlXXHGFOVOgjXMcURWM9aNfTFawFTYuHIcTDJwdopG7tqouPVURmn0GY9MfuF0P9jbY89APbAeqiovWjTmFoI3+cEKVwJ2NUCW20DmoEI526uFm+0oyZpzo7AToS9V21peW4bG+4WTi5guHGLSBrVRVOVY5Htv4c/Y1nOzGgf36MolriFepywPGaAu7l3rXGjaw08G2BoLTE47j3sC2oswzdE/hLAOKhr0ycDvPOaBYQ/2nHqS2H7baO+64w+ajDMeq3KONK/CLSu047uw6119/PQ5HJdjvgAvGqV/oZhfTjzHbxj7My1Ei1eCdjRBOSX5yNkLYZkHhFevxTMG2hecfWMGhDHhhDMoI/V0VWU/0GcBJKvFYf3CWAUXD3tkIUdjXEWznGAd+t9EIzlA47n/uw21m7tmK9bssyfzDr+FshHgeHYX/1tx+/9LZCJ1dEcdg58ec4IgGgmMftvH7h8Obe7b0Y9GOh48lkXdVInOOdo9wQVfEGbgGnegsE+MOOUPygAEDQi1UhWCMC8wHDxweNLzMsO4YIRrjwYAnHvbDS1MlolB715nat0IPMl4u+pXvTZ061R2OWGqogafhEdYP2jsDOZghvD/BFHA9VA3HDyseqd3G2uIcOFIkwgjRX7JjxjkOR3gwOqbnHEjwY/WTSk8hD7o999zTPiIwJ3Ut9zfzVNq18YdXni/S6H8b8KR0zAkvCOAMBwBH8Lz1M+Z777031L9jhNGwj8UI4SGH5wIvXIwd90ZDQNzlPFVfeXDKAB44DsamIQAhZ55Qw7AVtYNae4cFnkU4v6APtXkWaY1xg5m5a4RXg0+UEaLT8Ir1YHhwwACWuDa8GOEsEY+SeQbCGWE07EvCCDG+8Oc+nDGgTXHPeLLzD79GJhmhaho8fBy4jz9gCSaoxY4xtQhnGexL5F1V3Jyj3SP0jd8dxuB+99gXVCIjjHFn8KJRVah5HIY30filIu724cexjReeewCjHXf78AWP/hIhSAb4IsQynFS94WlsYPjumNt4WarqIubxeAeSGXO8fqIdUxuFh/5jEX7sqra2l7DGYcVqFrEfHpTx5qv2urjMKB72ERfTHfDq84dkhLeBhydCFDCfTBGwzNQ11LHDwwsQv5NMU7LYxxtPos99cc94ac4/3nyiHXPPVqL3JtF3Vbw5h98jeL/jQ+mGG26INsTA7WM9Qr1bsQjeVgiORqC3sw/Gasv9mUVAf9RmV4P3JGwg8IjTF7EFdmf2yuydCBCBZBG45557RJmgwGtapcJkTy/19mSEcSCHFxbcnOHJiBtLyi4CMO4jnAOJmZG1BE4mJCJABIKFAJzB8N7E71Pt+8EaXIzRkBHGAMbtVhWJuSVrlga3i8ssIQAvSTBCxIw5L8AsDYWXJQJEIAYCqiYVxGIijhDxjrlAZIS5cJc4RiJABIgAEcgYAowjzBi07JgIEAEiQARyAQEywly4SxwjESACRIAIZAwBMsKMQcuOiQARIAJEIBcQICPMhbvEMRIBIkAEiEDGECAjzBi07JgIEAEiQARyAQEywly4SxwjESACRIAIZAwBMsKMQcuOiQARIAJEIBcQICPMhbvEMRIBIkAEiEDGECAjzBi07JgIEAEiQARyAQEywly4SxwjESACRIAIZAyB8hnrOcAdo2Kz1gEJ8Ag5NCJABIhA4SCgtVFl3LhxWZtwQTJCMMGvvvoqa6DzwkSACBABIvAvAlrM+t+NLKxRNZoF0HlJIkAEiAARCA4CZITBuRccCREgAkSACGQBgcCpRpcvXy5Tp04V1AGsXLmyNGrUyP4qVqyYBXh4SSJABIgAEch3BALFCAcOHCgPP/ywVSCvVauWoNLxokWLZP369fLAAw9Ir1698v1+cH5EgAgQASJQyggEhhEOHTpU3njjDfnll1+ssrEfh8mTJ0vHjh2lXbt20qRJE/8hrhMBIkAEiAARSAmBwNgIJ06cKP37949ggphdq1atpHfv3jJmzJiUJsuTiQARIAJEgAiEIxAYRrj//vvLsGHDZPXq1eFjlMWLF8uIESMoDUYgwx1EgAgQASKQKgKBUY0ee+yx8vnnn0v9+vWldevWUrt2bbMRgglCNXr22WfLoYcemup8eT4RIAJEgAgkgQC0dfDXqFGjhvls7LzzzjJ9+nTBcs6cOVK9enVZu3attcE63tkwY1WoUCGJq2S3aWAYYaVKleTRRx+VSy+91LxG//zzT0G2gQYNGkj79u2NQWYXKl6dCBABIlBYCPTs2VM+/vhjgTf/5s2bZZtttpGlS5dK3bp1ZeHChebYCMa39dZby4YNG6wNGOaKFStkwYIFxjxzAbHAMEIHFpxhojnEvPjii4LUaAinKI7ARL/++uuYzebOnRvzGA8QASJABIiAWPat119/3bz2HR5ggiAwQRCYIGjlypW2xD/sK1++vDz44INy3XXXhfYHeSVwjDAWWIMGDZKaNWsmxAhhZ5w9e3asrkI3MWYDHiACRIAIFDgCmzZtMrWnY3rJwAHpEaFvuUJlNO9mwWWfhhjv/4LJlZvFcRIBIkAESgsB2AX3228/89EAm4AdsFq1arJq1arQEklPoBKFGQtS4Lp160wdCtUoGCHiwRMh5BrNZv7nnJEIEwGTbYgAESACRCA9CJQtW9aY06hRo6zDKlWqmK1wp512kj/++MOcZWbOnGmaujVr1pizTNWqVa0N4r4TZYLpGW1qvVAiTA0/nk0EiAARIAIpIkCJ8H8APvTQQ/Lll1/GhfPiiy82D9K4jXiQCBABIkAEiEASCARGNYovgjvvvFOaNWsm3bp1izoFxBaSiAARIAJEgAikE4HAMMI2bdrI6NGj5YADDpBnnnlGdtxxx3TOk30RASJABIgAEYiKQGBSrGF0u+++u0mF33zzTdTBcicRIAJEgAiULgIfffRRToVClASdwEiEbvB9+vRxq1wSASJABIhAlhFADujtt99ett122yyPJHOXD5REmLlpsmciQASIABEoCQKIDUQKzHwmMsJ8vrucGxEgAkQgRQTICFMEkKcTASJABIhAbiNARpjb94+jJwJEgAgQgRQRWL9+vVSsWDHFXoJ9OlWjwb4/HB0RIAJEIKsIIMcocormM5ER5vPd5dyIABEgAikggITaKLCLpNr5TGSE+Xx3OTciQASIQAoIFIJ9EPCQEabwkPBUIkAEiEA+I1AI9kHcPzLCfH6KOTciQASIQAoIUCJMATyeSgSIABEgArmPABlh7t9DzoAIEAEiQARSQICMMAXweCoRIAJEgAjkPgJkhLl/DzkDIkAEiAARSAEBOsukAB5PJQJEgAgQgdxHgBJh7t9DzoAIEAEiQARSQICMMAXweCoRIAJEgAjkPgJkhLl/DzkDIkAEiAARSAEBMsIUwOOpRIAIEAEikPsIgBHme+UJ3CVmlsn9Z5UzIAJEgAhkBAF4jeZ7dXoAR0aYkceHnRIBIkAEch8BqkZz/x5yBkSACBABIpACAoVQixDwUCJM4SHhqUSACBCBfEaAEmE+313OjQgQASJABIpFgJllioWIDYgAESACRCCfEaBEmM93l3MjAkSACBCBYhEgIywWIjYgAkSACBCBfEaAjDCf7y7nRgSIABEgAsUiQEZYLERsQASIABEgAvmMAJ1l8vnucm5EgAgQASJQLAKUCIuFiA2IABEgAkQgnxEgI8znu8u5EQEiQASIQFwEtmzZIps3b5YKFSrEbZcPB5lZJh/uIudABIgAEUgzAoUiDQI2MsI0PzzsjggQASKQDwgUiqMM7hUZYT48sZwDESACRCDNCFAiTDOg7I4IEAEiQASCicCsWbNk3333ldq1a8sxxxwjsA2CyAiDeb84KiJABIgAEUgzAjvttJNMmjRJli5dKqNHj5ZHH33UrkBGmGag2R0RIAJEgAgEEwEwQkdgfj/88INtohZhIVSnx2RpI3RPAJdEgAgQgQJEoG3btlK+fPnQzP/73//aOpxlCoUR/jv7EAxcIQJEgAgQgUJBYPjw4XLhhReaTfDUU0+V9u3b29QLSTVKRlgoTzvnSQSIABGIgkC5cuVk8ODBdgT2wfvuu0923313OeCAAygRRsGLu4gAESACRCBPEbj++uvl9ttvl40bN8r7778vc+bMkYMPPjhPZ1t0WoGWCFetWiUff/yxbL311tK5c2cpU6ZM0dFziwgQASJABNKCwKhRo4wJorNNmzbJ999/Ly+88EJa+g56J4FxlkHsylVXXSV169aVjh07yp9//im77rqrXHbZZdK9e3fp1atX0LHk+IgAESACOYtAhw4dQk4zZcuWNWaYs5NJcuCBYYSQ/L744gt55513ZP/995e99tpLBgwYINOmTZO//vpLfvrpJxPVk5wfmxMBIkAEiEAxCCxfvlyuueYaadasmdSvX1+OOuoo+fbbb4s5K38OB0Y1CgZ43nnnCVx5W7RoIXfffbecccYZhjRUo8cee6zprfv06ZNV9MGQoaLFGElEgAgQgXxAAJ6jFStWlB9//DEfppP0HAIjEcJD6cUXX5R58+bJY489ZiL6e++9ZxOCvvqzzz6TAw88MOkJpvOEnj17yqGHHmrS6rnnnpvOrtkXESACRCBrCBRSgu1oIAeGER555JFSo0YNadSokTzxxBMybtw4Oeecc6RTp07SsmVLqVy5sjRu3DjaHEpl30cffSSvvfaaqWnhVfXqq6/K+PHjS+XavAgRIAJEIJMIhDPCSy+91N630H5Nnjw5k5cORN+BUY1utdVW8vzzz1ueu2rVqhk4ENPfffddY5A9evTIKmBINwQV7ZIlS2wcYIbYRyICRIAI5DoCCJ6HahT0zDPPyFNPPSWwG4LgrDhlyhR7/9mOPPwXGEbosHVMENsNGzaUs88+2w5BbQqvJkiMxdGECRNkxIgRMZtt2LAh5rFYBxBPgzREVapUseW2225r0mqs9txPBIgAEcgVBPzp1BYsWBBighg/mOSyZcvICINwMwcNGiQ1a9ZMiBHuvPPOcvzxx8ccNmyQyRJy7s2dO1defvllQSYGlCuBizGJCBABIpDrCPhVo127dpUrr7zSpgRNHcxSEErymQInEcYCG2VCEiXEIuIvFoGRlYRwHhxmSESACBCBfELAzwgRugaz1G233Wax3FdccUU+TTXqXALHCKGXnjp1qnmP4ksEqlD8Of111FlwJxEgAkSACJQYgfAE28g1OmzYsBL3l2snBooRDhw4UB5++GGpU6eO1KpVyyolL1q0SPC18sADDzC7TK49XRwvESACOYGAXyLMiQGneZCBYYRDhw6VN954Q3755ZcIfTTcd5F2rV27dtKkSZM0Q8DuiAARIAKFjUC4RFhoaATG22PixInSv3//CCaIG9KqVSvp3bu3jBkzJqv3Z82aNTJ69GhT2/7+++9ZHQsvTgSIABFIFwKFLhEGhhEivyh00qtXr464t4sXL7ZwiGxLgzNnzrRxIBdfNoP7IwDiDiJABIhACggUukQYGNUocol+/vnnlvC1devWUrt2bbMRgglCNYp4QqQ3yyYhlgbZb0hEgAgQgXxCoNAlwsAwQsTpoToyUvvAaxRlmJDep0GDBtK+fXtjkNl+8P7++2+LZcz2OHh9IkAEiEA6EaBEGANNz/Pk008/teKMqLiAxNd777237LPPPrZEaEMmCOrPbKtAY82LEmEsZLifCBCBXEUAmbYQOF/IFNVGCBUlpDAEUsKLE3F8TZs2la+//louueQSad68ueWjQzHdQiI/I/z5558tMfjmzZsLCQLOlQgQgTxDoNDVoridEapRqCbB4EaOHCk77rhj1Fs+e/Zsue+++8xm9+GHH0Ztk487wQiRauiRRx6RG264ITRFONEgBymJCBABIpBrCBS6WhT3K4IRXn/99bLNNtvEvZdgBsj9CcZQSAQbIeyWF1xwQWjayHgzZMgQ6devX2gfV4gAESACuYIAJUKRCNVocUwQNxf2QlCheVCC8aM6xg477GDzxz+oRleuXBna5goRIAJEIJcQICOMwgjdDUTA+HXXXWcvercPIjQkH2SAKUQCI4Qjz4knnmiVJ6pXr27q44svvrgQ4eCciQARyAMEyAjjMELU20NV9s6dOwtsgt9//715jMJJZL/99suD25/8FMAIIQXfc8898t5775lKFBlxqlatmnxnPIMIEAEiEAAEaCOMYiN09wUqUniP3nLLLYKyHFCH3n333XLWWWeZncy1K5QlVKCoSO8KB2c7uL9QcOc8iQARyCwClAjjSISAHoVoUe19u+22s4oQYIxwGClEYjB9Id51zpkI5BYCV199tZlv4NQH7V0iREYYhxH+9ddf0rJlSwP1m2++MdUogi5Rp2rKlCmJ4JtXbTB3hJaQiAARIAJBROCll16SwYMHiysIgErzK1asKHaoVI3GUY3ii+Lll1+Www47zIBECrSnn35aXnvtNVm4cGGx4OZbA6iKYS8lEQEiQASCiMCcOXOKhLRt3LhRlixZUmw4HCXCOIwQFRbwh5yf48ePFyTCRsxcjx49gvgMZGVMkIxhO4QNlUQEiAARyCYCBx10UOjyFSpUsMQoyApWHFEijKMaBXgPPfSQ7LHHHpZWDbbCAQMGyHHHHSfIQ0oSmTVrlowaNYpQEAEiQASyjgByQX/33Xdy9NFHW5gb6rveeuutUUvb+QdLiTCORDh//ny58sorBQm3H3/8ccPt2WeflUMOOcTABuiFTggxWbRoUaHDwPkTASIQEASgnXrllVekVq1aAgaHdJlDhw4VhHnVrFkz6igpEcaRCH/99Vfp2LGj+EVrxMt16dLFkk1HRTRPd0Lye+aZZyKkv7p165IR5uk957SIQK4i8NVXX1k1CVSVQNgb7IRffPFFzOlQIozDCFFtYty4cQLvUUdIJTZixIjAlkly40znEpLxTjvtJOedd550795drrrqqlD3kAgL0XEoBABXiAARCBwCyHjlJ4R+xUudSUYYhxFuv/32ctlll8kuu+wiw4YNs2oTiCfcbbfdQp6kfrDzdR0JBUBQH4DgouwIEjLspWvWrHG7uCQCRIAIZBWBVq1aybXXXmtjQF5krMfzeKdqNA4jBIoA8MsvvxTk0jz++ONNGnzzzTcLKrMMPGfhgeVoxowZbtWWyDuKjDMkIkAEiEC2EcD7adWqVXLRRReZ2WbSpEnSoEEDE2pQWzYaUSKM4iwDUBB/4qhZs2aCP0erV68WxBSWLx9Rwck1yaslChE/+OCDNidIf7AV+unss8/2b3KdCBABIpA1BODQiDJxSAVZp04dM+d88MEHptF67rnn5O2335Z99923yPgoEUaRCGEL23rrrSP+oHfGfiSdfuutt4oAmc8bKLg7b948QQHib7/9Vo488sh8ni7nRgSIQA4jgILhYICOxo4dGzLrwMMdZq5wokQYhRE++uijJlqj0kKbNm3k3nvvtZQ9MLgiqwxshO3btw/HMq+3y5Yta+nm/HUI83rCnBwRIAJ5gQB8PRxBiwdtXjiREUZhhMipCSeQadOmGWgIyoTDDLyOjj32WDn44INNvA4Hk9tEgAgQASIQLARGjhxpA9pxxx3liCOOkNtvvz1igGSEUWyEDiUYWBFMv3z5cnHuuIhJgYqwW7durlnBLxFeMX36dMvAA7UxiQgQASIQFASgwYNfBzzb/SpT//hoI4wiETqAIFKffvrpAnUgviSQWg1xc82bN5dOnTq5ZgW9xIdCixYtrGI9sjb88ccfBY0HJ08EiEB2EIDn+tSpU6OmU4OfAzR6p5xyikAyxLsdzNERJcI4EiFAGjRokDFBZCUAWP/5z3/kwAMPtETTheI16h6WaEuUOYHtFH8glGl6/fXXozXlPiJABIhARhBYunSptG3b1rz9Z8+ebYUS/BnBcFEIM5999pllmoHPQ58+fUIx0WSExTDCvn37ylNPPWX56vx3EOWZEFdY6ISvK5Q+cQS7KokIEAEiUJoIIP8zqgS5Ygh4b48ZM6bIEKD+hGkLhPyjqCjkiKrROKrRH3/80cIkfvjhB/vSAHjuj0zwn0fommuusRWElcDJCPUaSUSACBCB0kSgdu3aISaI68JkE07Q5pUrV852413lN2+REcaRCKFzhqEVZZhI0RE4/PDDBR8MkydPFqQ12n333aM35F4iQASIQIYQuPDCCwVB8yimjpqxiCUMJyQGAcODehR1C2HGASF5CsxcOLeQqYyK01GLCwKg/fff32oQwhaGkIp8IUhwSCBOIgJEgAjkAwL4GP/kk0/MeQ+q0kQJ6dgQFgdGmk36v//7P0HVjGxRzDxpyKaCygrwFoUoDebhCCpAVGIgEQEiQASIQPYRgEYKf4kQ8pEiZzTCvZApK1qQfSL95FObmIwQlSZipVJDWSISESACRIAI5BYCqE3YoUMHE3Kg5YOXO9SphU4xGSGkwJYtWxY6Ppw/ESACRCBvEBgyZIgsWLDAHB9XrFghqE6B+MJCpwhGOGHChGIDw2E7bNiwYaFjF5o/9PP4qvJX6Qgd5AoRIAJEICAIILsM3lWudBwKr19xxRUBGV32hhHBCFGmA8m149F9991HRugDCFUpEJRKRugDhatEgAiUGgLw6UChBHj6xyNkC3vyySflt99+M4b4+OOPS61ateKdUhDHIhjhzTffLPgjJY4A0hf9/vvviZ/AlkSACBCBNCIAj1HY/4pjhAiVQDA9AvBRsxBpM0lx4ggJTuII4IGCGzKJCBABIpANBPD+wXsoUdp5550TbVoQ7coWxCwzPEnGJWYYYHZPBIhAXASSZYSus8WLFwv+Cp3ICNPwBJARpgFEdkEEChABlEdCGkuUu0uFSsIIH3vsMWndurVVo7jqqqtSuXzOn0tGmIZbSEaYBhDZBREoMAQWLVokTZs2laOOOsqC21NJ2o9MWf6kJ8VBCU/3c88914oGIIsYmCKqDBUqxWWEs2bNCoEDT6Ojjz66WI/SQgQSzjKIySERASJABBJFAFldEL6A0kmgs88+O9FTI9qhvmAyaTDhYYqkKY5QUMGVk3P7CmkZkxEiQWvnzp3lyy+/tGzm/fr1k3322UeQvPXnn3/OGEZ+pxPcLGS3gYdTkIkSYZDvDsdGBIKJQLjHJlSk33//fYkGm6xE2KZNG6lXr56lz0RVCqhmk8lRWqJBBvikmIwQVRXgWTRw4ECTAg877DC57rrrpFevXvL555+nfUq4kUj+evHFF1tJkbPOOksaNGggV199takPwIBj5AdP+1iS7RAuyXiYEEtIIgJEgAgkgoCrAFGhQgWr/gCpDDa7e+65J5HTi7SBAJGMRIiq9RMnThSUkrvlllsEatrKlSsX6bOQNmIyQrzUUckYBKmsR48eto70PGBQ6SbkvMP1Hn74YUFQ/zvvvGOxeVOmTDH1wbvvvitjx45N92XT1h+lwrRByY6IQEEg0KVLF/nll19ChQ2cw8ygQYMEAfLJEBhhMjZC9I00mtdee60JO8g4U8gUkxFCdIZKEupR2Aph0L3xxhuNKR544IFpxwxBnij4i0zo8+fPt6zoToddt25dOfHEE0usNkj7YKN0SEYYBRTuIgJEIC4CzZs3F5Qg8mu7EBjvqsnHPdl3EN6nyUiEvlO5qgjEZITIRwf74JlnninIP1qzZk3Ze++9ZerUqUkFbiaKMh4GSIMQ0aGrRgFJMEQQykEh7RvUBkElMsKg3hmOiwgEDwE410HAACHp9ebNmwVOd3jP9u7dO6kUlnCUgVqz0IvrpnKXI1Ksuc7++OMPOeecc+SYY44R6LBBkAozRaeeeqplQkeV9z322EOgw95hhx1kzz33lOnTp9tYkOw7qERGGNQ7w3ERgWAggETXL7zwgr3PXnrpJfMpgBQH50MwM5h/wAxRQT4ZKkkMYTL9F0LbmIwQTKhv375mr7vpppsENQjBFPFXXD67kgL34IMPymWXXWa2wLlz5wo8V2GP7NixoznMlLTf0jiPjLA0UOY1iEBuIgCJr3HjxpYY21V+wExgp4NzDJxW4CxYEiIjLAlqRc+JyQhxg1CdHn/wZvr444/NqIoMBFBTlvSmFb185NaOO+4oJ598cuSBgO8hIwz4DeLwiEAWEYAPBBwQ/UwQw9mwYYOkEkiPPsgIgUJqFJMR4gsGmQbAAPGHcIp27drJXXfdZcbd1C6b/NkvvviiVVZu1KhRsSePGjVKbrvttpjtwh/GmA2TOEBGmARYbEoECgwBqDydF3741K+88srwXUltJxtDmFTnBdI4JiOEjRDeodtvv71Jgh9++KF5dGYLF7gUw5CcCCOELTOePRNMK92EzO9w9CERASJABMIRaNmypQwYMMD+YHZCarVDDz1UjjjiiJRNTclmlQkfG7fjlGGCPvurr76SMWPGyMsvv2ySIGx1MORCLVraxRwnTZoU6PuFLz7WJAz0LeLgiEBWEbj88sstIQlye8LnIhrBYaZVq1bmKBjteLR9lAijoZLcvpgSIcT49u3b2x8yyiCUAsGXffr0Mc8mxPxlghBUihANBJTCJRgSIP4QzhFkYk3CIN8djo0IBAMBaNjiEUxQcBKE1Jgo0UaYKFKx28VkhDDswilm9OjRJhVC4unevbvAg7RDhw6xe0zhCNK5IZYQWQ4gccJJB+pGjOWBBx6wr6kUus/oqW3btjWGndGLsHMiQATyGoFdd9016QT+YIQwG5FKjkBMRjhnzhwZPHiwMT8Yc5s1a1byqyRw5tChQ+WNN96wlEMNGzYscgZKhkAtC2edJk2aFDkWlA3EPcZSdwRljBwHESACwUYA4WnJEhhh+Dsz2T4KvX3MzDKwEcJrtGvXruY1OmTIEPnmm28yhhcSwPbv3z/qDYXOHNkWYK8kEQEiQASIwL8IUDX6LxYlXYvJCNHh3XffbWnNUIvw2WefNYnsvPPOK5IXr6QXDj8PWWOGDRtmGRbCjy1evFhGjBgRWGnQP9733ntP9t13X1PtFnKhSz8mXCcCRCBzCKDyTWk7L2ZuNtnpuYwme/WiXRp5PnfZZReTAl0mGRRuRMqzkSNHGlOMdl5J98FAjFJLYIbIKVq7dm2zEYIJQjWKopVgzOmgTMX8IVUSUsQ5gl31u+++MxzdPi6JABEgAkSgKALINY0ohWxRTBshQgEgpTkmiAHCINuzZ0/LCQp7XToJVSceffRRQY0ueI2i8gWSyCLFGrxX69evn87Lpb2vcePGmSMR5gGmDoLXK+Ix8UFBIgJEoDARgL8FStm592dhohDwWUMijEbqqempq6+nkmHosMa/eOrV5GnmltC+XFzRUIe0Dvvbb7+FVB31T6XotF6LnREBIpA7CGg4mKehEJ4WLrA/TfQRd/DKMO0dqykuPc1BGrdtPh1UYSer04lpI0SuUZRgQgzf4YcfLieccIJsu+22glygyIZA+heBJ5544t8NXQN2vXr1MmmwRo0aRY5xgwgQgcJB4KmnnrJycgiix9/3338vM2bMiAoAco4iRA1L5CC9+eabLX47amPuTCsCMVWjuApiBlGYF8H0yM+JIPr//Oc/MXPmpXVkOdRZixYtLP2cU4niIUa5FRIRIAKFjQA+hPFh7Artzp49O2aqygULFpgJyF+dHvtImUcgwlkGNrrhw4fHvfLjjz8u3bp1i9smyAfT7SyDBOXAAyEgyAiBeMidd945yBBwbESACJQCAng3wBEEPhdgiPfff7+ceOKJUa+MMAho4OCUqHpC+1u2bJlUr149ans4NKJSz5QpU+z98/TTT+dscd5sO8tEMMKZM2cKPDXjEZw/cjmTQboZYTyseIwIEAEi8Ouvv1pqyuKc/pA3FN7zkCT79etnpqhY6Pkr0sNJ77777pNzzz03VvNA7882I4xQjSI7CjOkBPqZ4eCIABHIMQQSzcyFj3QkL0mE4K8xa9YsawqzzNdff53IaWwTBYEIZxmoRhGyEO/v7bffjtIVd/kRgHoDOVJJRIAIEIFMILD33ntL+fL/yjIook4qGQJUjZYMt2LPgi1gu+22k5NOOqnYtmxABIgAEUgWAXihwjsdjjinnXaalCRPabLXzFT7wKtG4S3qKrrD8ItqENBj57KNMFM3098vmCCM2SQiQAQygwA8MBGKAFsagtZh0kF2Eo3Zy8wFA9Yr5olasaTUEYhQjfq7POWUUwRVFZDuDH9169a1LC+FWIB23R+zZcv6DX544q6DEdL1OS5EPEgESozAoEGDLM3jAQccYLF5cPCD9+Sdd95Z4j4zdeKHH35o5eyS6R+MfenSpcmcwrYpIBCTESLNGRJI4+HSbAjy2WefWfWHli1bZqweYQrzyOip3sZN8sdpA2TBYy8lfB0Yx1HBg0QEiEB6Efjll1+sUo0/3g5XQPzuDz/8kN6LpaE3VO1Zs2ZNUj2BeVLaSwqylBrHZIR4yPC1tccee8g+++xjDPGQQw6xAHtNsZbSRXPt5DIVyou3VQXZsHxlwkOHm3SfPn0Sbs+GRIAIJIYATDOxKr1feOGFiXVSiq1gTkJWrmSIppVk0Eq9bUxGiIBwfHnBLRf1AD///HO7Gkp+FJrIDu/PmcuXyNSvJqaOOHsgAkQgJQTwYY4gcwSo4w/Ut29fq5uKj/egUUkYYb169Yo1rSDoHnHfpNQR+Nf3NqwvZDhAOaQjjzxSXn/9dSuDhJyjqLEHtWkhUcWKFWXRpvWyy/pNaZk2nI4++eQTS1XXpUuXtPTJTohAoSCAj/GffvpJnnvuOXPkQ6aWWM57mhDfwpgQcwctF8rIlbYzTUkYISReSL7xaPr06ZYG8/nnn4/XjMcSQCAmI8S5L730kriMCGPHjpXXXnvNagIijVih0cryZaTqhi0pTRv2C2CIRLywZyClEr5g33///ZT65clEoNAQQFaV008/vci0V6xYYQwSma8gUaGI+KuvvmoMBaEGcPiDNgtObLEYZ5EO07CBj16MK9nCuRh/cfmKMQ+oUEmpIxCXEaJ7lxFByy/JwIEDU79ijvawrvJWUknKyJY166RslUoJzQKqZTysKCiMPKTRUtehcC9cvoEvahdC5YMMEbApwCZLIgJEoHgEFi5caEWxob2ZO3eu5UtGhhYwQEf4LUKavOOOO0rNuxSJNfbaay83hLQuIeGSEaYH0ghGCE9RVISPRwjcdAwyXrt8OuZVryayXGTjoiVScacGxU5t8ODBcv3119sX6JYtsSVJMEcwPOj7UdEesYcIWYGXGX6wV1xxRbHXYgMiUOgIIKuK/0PzrLPOipqAGhIaPjhLi+rUqSMPP/xwRi4HzVzTpk0z0nehdRrBCF955RV55plnLEYHadaiURAN0tHGmc595betqYxwuaybt6hYRgibwPnnn5/Q5cEkV69ebW2di7VbosoHGWFCMLJRgSCgxWotFydimWH/QzgXCKpEPzn7GlSoSEiNpCCVK1e2JTQ0+UDIxkJKDwIRjPDKK6+0PKOIYYGaoWfPnoKvLejXC5mqNKgvMn25LPtzllRvH1/Vga9OfK0hKDacIO0hMcE555xj2eKh0olFf/75Z6xD3E8ECg4BaKsuv/zy0LwPPfRQ+fnnn83eB7MNPuLhRQr7uyNIZFdffbVJTpAYO3bsKHAEJBEBPwIR4RNNmjQxTyR4hqKsB7682rVrZ96jMN66Ly1/J4Ww3v30XjbNKgl4jkJv7woYQ92JkipISgCbBfD88ccfxSU3h83CkXMFhyEfHx6oa0giAkTgHwTwYej/vUDac0H1CKlAKMFFF11kH/AOM2hnevfuLUcccYTl40ykTuhvv/1mNsZEgvPx0QvJFOekk2DPhEc5fAXOOOMMM52ks3/2FYaA2qaKJVXfeVql3tME0p6qF7yPPvqo2HOC3KBatWpJDw8Y/NSpl/fXXUMSPle9Qb0RI0Z4+iUa9RxViXoakuL16NHDUzuCp96knjrKeJMmTfL0Rx/1HO4kAoWKgPouePr6sj9liJ5qrDxNOB0Bx7333uupl6a3//77e9OmTYs4Hm8HrqHhFZ46rdl19GO0SHMcHzNmjKfmCw/vhAMPPNBTE5K1ffTRR4u0TWXDzRNLzFN9DlLpLvDntm/fPqtjxJdGXNIvLntJd+rUyR4udVn2VKqJe07QD5aEEWJO04670Jt5+Z1Bnx7HRwTyFoHvv//e69q1q6eSn6fV29M+T9V+hZgtmFDz5s09Vb/adVQj5ql2x1N1q7VRjZlXtWrVUHvNJuWpx6q11UQknkqhnppIvLJly3pLlixJaqwa9xjqF+PAe9cRGPAHH3zgjR492pix25/Ly2wzwggboYJuLv+Iv4GdUB88U4v2799fDjvssCJqB7QtJKqwbS3ZuJCJcAvpnnOuwUIAAfGwFWaKkB94woQJoe4RR92iRQtBWTWYM6AKBSlzE6Sa9NsjYTZyNUiVWVvyEdceMY/JpKaEqvevv/6yEku43vHHH4+FEfp2iQLgiwAvf39dQteOy8QRiLAR3njjjYIsDMgmg+oTMEbD/RdGZngzIi7GH5uT+KVyv2V5ZYSbFpER5v6d5AyIQHQEbr/9djuAeF6QSlm2RFULlHlypFKZILML3oVwgEN7MCg83dmrAABAAElEQVRng4Qt0zFBnIN44WRITSpWXxChak8++aQ5AaHsFOKR1UxloSJgvLAlZvLDIJkx53LbCEY4a9Ys+8pB9nPE4iCEAlkR/H+F6sQx9qcfZLMm3t6yYWPG7zmKbarqQ9Qem9S1kHoKHzEIKiYRgXxBwL3wwXxSITAYfODfdNNNISbn7w9CwHINk4KDjT8VG+J7XV5PVYfaKWBMkAwRB4x0byNHjgx1BQnQEbzvTzjhBLeZ0BLXRn8IF7nkkkvM0Qdjg6OdmnZCfSAXNMZAShGBcL2ypv0yfTZ02rH+VPwPPy2ntktqI7xuv67eT/ud5K2fMz+j84UNQKt+mC0Czkmqko57PU0b5ekP19PgWjOsw1FAHwsP9hQSEch1BJQBeSp1eRp2ZM91SZ31VLLy4GSD3waWV111VUxo8O5DO/z+sHR/sAk2bNgwtI39mhUqaj9qWvLU49NTb/GoxxPZuffeexe5lmrmPJUSPY2NNDxUhZpIN4Fvk20bYbHOMkBw2LBhnmZJCTyYiQ6wxIyw2/HGCFd994/xPNHrJdvunXfe8TBG9+PTYGFv/PjxUbtR1YynbuRmkHft3RI/GBIRyHUE8PJ3zzSWbdq0KdGU9ttvvyL9aLiS/c5ieZZqEL53ww03mJOgu/7WW29tzjpqk7O+8NvTEIcSjSeRk/AbdtfGEg45IC1+4Gni/qhes4n0G7Q22WaECcnUMNqmO05Gb2rOUcV6/9QU2zB/ccbH7mIKcSHYAmCTiEZQ16D2YbTjUHOTiECuIwCVoJ9KmiKtbdu2RZxKXOJ7DYEwdaj/GlhHRhoE8MMRBTY/EH6Lzz77rAXlI5sNYv0y+W6EzwYIpinYIl2lCQ0NsdqwblzWiP9KjEBCjLDEvefZiVV3+CfT+98zMstg4J0Lo7t+fVpA7cEHHyyx0imBCfqZJiBHQD7sCH6bBX70DzzwgHm+Rct4g/Ngf0DpLRj+L774YuwiEYGsI3DttdfaGJBkAs91cVUZYg0YuXtRmQJ9+Al2thdffLGIc4s7DuaDJBiwGeI3ofG9ls4NzA92Q/hSOMcad046l6gFi98rKtZ8+umn5pyDJP2kNCOQiIiMeBXo1/OFoHYsCT337FBvcocTvO+vLJ1YQn3wvc8++8zTH4KnlSxiDlklP1Pf6I/G0y9IizFC/KefNCej2Q/18fE0842nbuH+wxaThWPuD7YQ2DhIRCBbCKgmykNcH+L2YAvTEmaefqylPBwkrYBK0z3rWELlqZKnh/i/2267LeVrpLsD/ZA1vwGoYTHefDJVAatAq0ahWkMhXuT007HK0UcfbfX09EYUJNVvsL0s3rBO1s9fVCrz1yQGlkIKMUVq3xB8HUYLXVHjvahxX5AS6rrrrhNIkP7yLLiPSEXlYpyQ3zTc5Rp5GP0qKCQCRxkphMygLJRTsyJlFbzuMJZk4qJKBTBeJK8QQHFaxPTh2YS2Ah7Ru+++e8pzxO8J7zU8wy7+DipP1A0cPny4qM0w5Wuku4PHHnvMVLD4/YGQrhESKSk9CMRUjUJd0LlzZ4tZwQPYr18/wQMEV17EFhYiqSenrFFTQeWlq0pl+ngBaFo7ixVCQVGoY8DoUNA3GYKK1a8+xTZsDn5CImIkKHYvBtgeHnnkEVMj4QMIMVR4HpAwXJ2nZMqUKdK9e3fLiYpzkd0fzBZu6RijP9DYfx2uE4FEEcBz5QgfcUjukS7ChyVsff5iAnhmkRsY1XeSJQS4w26H3KAoaI7fQjoJIRIQRhyBCfq33X4uS4iAghmVkO9SDcF2TF9unr4MbV2rU3jpzKkX9eIZ3llS1SiG9dfdQyzn6Bb11sw0wW083FUbKhy91R6OxSIN5PW0YoinzMvaulyIOA/7ND406qlQC8HdG7kN0TbRP/2RWr9oD5UTvPGgyoLXHYkIlBQBrdDiOe9MPFtIK5ZuOvXUU+15hWe2FtAtUcoypFXz/1bwG0AIk9ZsNVVrOsassY0WyqH2f+sb7+F8omyrRmOGT4wdO9ZTFZthDXfloUOH2vp///tf76233srpe5AKI1zy+hgLoVg7PTYjSic4YGj+l4H7wWmAbszLaCqoqOfgRzRu3LjQeUgGjnup2SpC+7CCGEZ3nZIuVa3lqVG/SL/cIALxEMBzCMak6cQ8JKTHB53W4/TwzlFVfrxTUzqG3wRs8dESeCfSMc7F8x7+W8EHIYSIdBHshEjk7/8Np6vvbPcTWEYI6UDz7nlIto1AVgRtI6YGhmvVp2cbt5Sunwoj/PvrycYIl43+IqUxJHMyKljs9D/pzv3Y4PwSi84777yIHyXOg6Fdvdys2gUcZvDlqqohawvmpzkVLaG6ppOy5MLuWtEYMZ6JcIcD194t1dPVKmnEGif3EwGHABy+3HODYHcEqeMdlAuE4Hsk43bj9y979eqVC1PI+hgDywiBjOqhPU0d5KnLsAEF6QFSRK5TKoxw6V/zjRHOf2RYqcKgadPshwZvTpSJUSeC0PU17ZSnKZ1C2yiZ5f8xYh3MDNkotN5k1OB7115dwT01yJsGAJIlmLDGLlkWDkiU8OJz19a8jN6+++5r43HnuyXUpW79m2++CY2NK0TAjwASQoBZhDMSeHCqb4K/aaDX4dmN3waEB2TBcc++OrAFetxBGVygGSFA0uBVT2NszH0f6/lAqTBCTTrufdu1tzejf+m7WGviXvswUUeVIrcBjE+dmIrsQ3q1Cy64wLvrrrs8jX/ybrnlFguRQBo29yONtkTmCoRtJEpQX0GVBWkTNmWosCBtur4hNWrm/kS7Y7sCQwC1OKNpHPD8QCWqHs6lgohjZNB4qVOYBwZdUlInM9OeIUyDlBgCgWaEDz74oH3dwJCsHlbmgKGV10tkUE4MjtJplQojRE2yh5rv7/14+JmlM9gErgJpEdJZIhRuP4SU6JiWW0ITUFLCh4LfXgKngbfffruk3fG8PEUA+Yrh8IHnwz13bgltAtSjTvWOeMJMk7s2lnAW0+D7TF+S/fsQyDYjjBk+AfdcfVAtdgdZFUBwN0a6tWRLitjJefJPPcHk1zXLpMyK1bJJK1EEgRAXiLCGREglRDnzzDMtY74WFrVYwCeeeEIQi3jQQQdZWARSR5WUVMVl2TYQrgGsBgwYYPUsS9ofz8tPBPTFJ1pJXhAW5AhVGvAMIowHJYz0PWnhO8iokmnKZKhGpsfO/lNHIGphXnSLgpSoQeh/QFB+BLn11GtJNCt66lfPwR4Q0PvbmhU28vW/z5Lye6ce4JsqDChRk+j9QDwSgnPDCSW30kW77bZbKHg/XX2WVj9IJKAhJBbIjbjZV155JZRnsrTGUAjXwQe1P9YU5d6Qwgz19/zpBBEz64/1yxQ2SEKBD32UPwP17ds3U5divwFEIKZEqLYkY3h4YB0h+wLqeanDhduV8aW6C1sx4IxfKMELaFkWWb/tP0U7102fleBZmW2GDDRIKExKHYHmzZtb9iTUmnv33XfFFWpNvWf24EcAySkcqY1QTj75ZLnsssvs3eI+1PARjqTTyGyVaXr88cctaYjaJWXMmDGCRNykwkGgDNS0saZ78803y6233mpqNyRyRlFMqC7efPNNUf19rNNKtB+pg5DiKJy6desmUOepa7+lDYNUmiohswqYeknp+P8cJ1fOKyvbHXWQbH/l2SXthudlAQEkSUYSZUgA6uEXMQIkO58xY0ZoPzQgyRZHDp3MlZgIqC3ZshUhEwsyFEFNCm0FqTARgBYgm8nEY6pGcTuQ9f2II44QDRi1nJOaecHsPVBpQJ+fTgLTfeihh6z0if8HgdRdqO6Mfcg6f+yxx6bzsiXqq+WereS36WOl6tTfS3R+qichp6g6oNgHSjpVmqmOK+jn4/kaOHCgqeSgAtOkEZbD1eVUhSSC3KpILwcbFSSV0pBGgo5bJsaHD+toH76ZuBb7JALFIuBz3CmyilCJN954o8g+BI4i5icTVQngRaa1vzwEYfsLZe65554ewgbSSal4jWIcmmz6H8/Rjid7WzZtTufQiu1L87yGvOw0L6KFSBR7EhsYAuEeivpRZakDnZer81LUH42liIPXNIkIEIHMIxBYr1GoD88999xQlQINprfM71ApwiaVboKXIVSgUMVCVeLsBOm+Tjr6O/LII2X/PqdKGS2Wu2HugnR0mXAfUCE5whc1JMOgErz9tKRNWoeHhO9IBl6Syhew/zmCav/zzz83/JwdXH/udhiSYJ8+feTCCy90zUu0REUQJCd3FUMgZcLRTBMMlKg/nkQEiEBmEIiplIcLM0r1nH322VZ+CSo4FHaFfTBRV/2SDBlGauiKoY6FWlaTzZakm4yeg5dok04d7Brr/5id0WuFdw5HJXw0OII9Cw5M7iXu9gdhiWcI9rh00dSpU+1j7KKLLrKPJZTROfzww60EVSLXQOkaEJ5f4AVGBeYUTlCbIvQjFULZIHgYd+3a1e4XrgUvVI3DFc3GI43UEWSHHXawe5fKdXguESACaUCgOKF38uTJljVE3ciLa5r240jtpS8TD+rAdFKqqlGMZeOSvy3V2sKnSxcX5F9UycZyvkKVh3ROCIpHrtCSJg1OJ7b+vpCqTT9m/LtKtI5kw0gEEJ6GSx9/C7pGVhuVjhPqGzlzkQEH5/r/gKPaoQ1HVFdRBmlqZ3We8ZDWDmaBeIRzcF+QaBmZfvyJCnCftERPkX3u2gjeRoL7ZEjd/D2YDKAaT0eh2mSuzbZEIBMIZFs1ii/jIqTqIMv2AHuK+8OPGmmQ3Ha47bBIBzmwkQ5GiGwp3x14ijf7mkFZmfFTTz3lYR7uhYq0ZlpsNCtjiXdRVY/GO5zQMTAR5Fd1cw1fosxUtIz8Ko1aejmUnULVcZUkPa0T52m9RGNY/n60xmKRtFpoi2fetVFNRcyxYo6uHZbI16rSXpF9/r78bcEkUVpLYy8TSjIdnkcWHwH44MgV0pqankrxHj4wUEmBRASAQLYZYYTXKLzqoA6NR8hCUtqk+U6lQ4cOplIq7tqwH8WzTcETNVWCnXDaW1/JulJWjbpxIwDZryJFEV/EOAaN0mFP1tqLITsb5gcbHlSa+vux6Wo9OFN3auJx8wRVaUkQdoMMOuE0cuRIC4dAoDxCdqAmRbygJnku0hSFVV1wNQ6gODWC7WHHhjoa8W1Qb2rVBFNv6seiqLRufcB269ahRsc4XV/YBrmxYwm7O4ouQ22K3x8KvMYieLjCYxuFakF4BjAGqKGDTsuWLRPEJztCwWdl7KYydvu4JAJZQUB/iDlBqImoL6y0jDUdEiESX1+9yz7ejx17els2lDxBbyoTQrFkqO0gDYYn3U6l36Cdi9qLUFvqD8RyUCLf7aBBg0w1CHUkSlRBssIf2uAvlgSJ/ZpSrtgpouqG6w95L6HCdNd313CqWr9k7o5hCU3KLrvsEhoT9kEFi3y1UPn71ac45ub45JNP2viQOB1SPnK/ooIH1OIwVbh2bnzYnws0fvx4z18kGlhAzUsiAtmWCPFlWoT69+9vSZPhUh7rD+EDuUzpYIQqFXgn1Gv8T5He32ZkDQ68GHOpXE1JgNLYPlMdokYdnk9nC0VlAj/jSWQdTCRRezds1PgAS6RftFGJ3D5MXHswOpXwzJ7rjsPW6QjhQmCyrr1bqsbFCtRC7YkPHYwZVUFwvHXr1p46CVn5K5TeSiVBuhtHaS1hZ3X1L91c8/3ZLS1sc/062WaEEZlloIaCmi0e6VeuICA2EwQvUXgHQjUFVR/UT/hLZwB/qpllMG998KRDvR3lqV33lwbXXSDVD90vE3CwzzgIIB8uAt6hGoxHUCNDfaqSo3kiDx48OF7zIseQxAGmAgTaF0cqbZp687XXXhOVdkydiwwq8JxVu7qlDzvuuONC3eAZ0vJY8tJLL9kzj+1ECAH/UKPCWzjXSGub2j2Dx+xVV11lyd9zbQ4cb/oRyHZmmQiJ0H1ZwNHgkEMO8VBbC7W6SoOuuOIK+wKGqgtfvvCMg1SKr0iok9JF6ZAIMZYOrff5p0jvYy+la2h51w+kr2uuuSaqM0txk4XUrYzO1GnPPPNMRHNIhnhG/I4oLVu2NMlJbX8eCgm7ElDwKi1JUWn8DvRnX+QP3ppOLYljcI7BtTRHpY0RTiBqi/TU9hcx5mg7nGSLfsKvFWsbKkYSEcgXBLItEcZkhMj0gh8z1C+oR4hK5PC8S3cog7uRsBVo7JanX/duV2iJKs94+cDjLB2ULkaoiYK9T/Y9xps54K50DCvv+lCHkpAdDB8z4d7GuK+wgSFUwU/Dhw+3MAY/E4CNTnN++pvZOkIr+vXrZx6hLpRAnaGsX82NG9G+JDuQ6Uido+w68NDcsmWLd/XVV1uWJZXmLPwh1aLVsPPddNNNRVSrmL+zI/pVqFCVooI7iscOHTrUCh9rAgBTmeKjg0QEcg2BwDJCP5B4UX3wwQeWdgo/TlX9+A+nZf28887zNAN8zL7gzg7pNB2ULkaIF9djLTp5vxx7XjqGlXd9+CvV47mB2zykJi3vFZKiEJIDm5hz+Jg0aVJUqQgv/3xPeQYGDswgGeLDASEb+BiFk5gmA/BOOukkTxMqeKeccoqnHqye5v6NYJxwBkJMI4kI5BIC2WaEEeET+sIygnu6fq3Lxx9/bH/IlNGuXTtzH/fXC3PtU13CZRxp1TSXqYRXmIDNEvYQ/fpN9TJpPR919yaseVX2X7hUtqxZJ2WrVEpr/7neGTKroMAzSFWJAtf/aEmslQmKxvEJSuDA7hfNhqtSmBxwwAG5Dknc8av0J2qGkNGjR5uNsXPnzkXa+8NB1ElKYM9HSIefkM4N4SDnnHOOf3fK6wg5Um9WQRFolEtCAWZHGDPCmzB+pKXDvSYRgZxCINZXA9RBOhGz0eFLHF+rmST0rz9eCy7WF57nEiLvt99+tk9/fGm7fLokQo2L8h4/4zyzE675OT1quLRNMgAdwbbsniEsY4U0wMYH1SOkQWWEEZ6UkIw0tV8AZhScIUDtC5MFcPX/AUt1QknbQJFoQIs+m+cq7h8kc0itsNmqI5Cnzm12fexHOARsuuGq7vDBQKVLIgJ+BLItEca0EeJh1pyfHuw8yOyBTBk9e/Y0FU1x6ab8E0x2HXZAhGeA+WrZHFPDalLkZLuJ2z5djBAXWT35V2OEyz4cF/eahXoQHzhHHXVUkZe1/8Xt4vOwD+pA3HNNhu3hA6h3796eensWKnTFzlu9Xw1XOJThmUaaPWTNgQ0zHYTfv/9e+dfB9LANJyH/fqi5na022hjg4IR7SyICfgQCywj9g8Q68iHiyxwPfSbKMIVfL5Pb6WSEGxYuMUa46AVKLLHuGbyB/c4eeIbAHJ9++mmzh/lfpM45ZOLEibG6434fArNnzy5Stsx3KOVV2OxjSfH+exa+jjHFIuR6ha2YRAT8CGSbEcasPoEUTohvOuOMM0S/OC1dlQYXm90QMUykfxAoX1ttJRrXtXF+/NjLQsYLacOQFk1VeZYKDFXiUdZLJT5RtVsRaGAvBPntYUUacKMIAojH86ctK3LQt6EMSA466CC7B6h+gVhKdYDztYhcRbUM2Gb9hPsYjWAXRLymfiRbVY1obbAPadb89sVY7bifCJQmAtGfah0BDOD4saA24JVXXplyWZrSnFRpXqtM2bJSoW4t2biAjDAW7njxrVq1SuDgAWaIF6YjDZuxQHc4SPkdPzQcwTXhsgQIwJHmueeeM8cVJBLAh4WriwiHl6+//tqSQqC02vnnny/IvYrgf+yfMGGC9OjRw/Kp4qMFZa9atGghqnaVb7/9VtRrVTScKVRhHvlO27ZtayXaVL0dd7RkhHHh4cEsIRCTETZu3NikPxQWhecoPEg1yJ0JcsNuFLKaTJ47S3avUC7sCDf9CECSCJf+cBzJruGRqBUcrLagquIsi1CqRXH91y6kdXicIrG4VicJeW9CWguX7FQtZbBoqIV57MKjFx8rbj+yO+HDRGM0ReM9QxDCUxqSoqo/rcAwpEp4fF977bUm9YcaxlhB5igND4lxlLuJQHYQiEix5h/G3XffbdIgCqAiZZQmzZW+fftahfBcdpGO5p7vn3cy62o7lc//e5kc1aCptPzk+WROZdswBFAp/p133hHNq2nVI8IOc7MYBIAdqm4kQ/jwgDQOSS2ckNYQJhI84+rgEn64RNso7A2mC3U5iQg4BLKdYi2mjRDxX9dff71AIoQ6BD8GlK3RlFWijgxu/AW/RN7VeetXS7mNm2TzquLzURY8YHEAgC1aawcm/TKP02VBHVKP27jz1RAHk+bwEQusoaZGXlR/OS9/B67UE1Sj6SJKhOlCkv2kE4GYjBCJgqHygCrEERJtawiFaLyX21XwS0gvizZvNBw2zl9U8HgQgOwhoJlmBBKen5xjCuyyXbt2NRsgGJxm+DHtzsUXX2xB8jhH4wNN8+POcf1ozKJbjbvU3LCi8b/2zvjss8+itqWNMCos3JllBGIyQhi/UYx0wYIFoSGiuCiy6DfSahCkfxDA17VXa2vboOcon4psIoBiwXCMQbFh2POhzUG1BzgegfFBdQoCs4Qzzc0332yVMbBPU92ZlzjsgiiWC4JDDNSmDz/8sG3H+4fiwlp13t4PsC8ig5DWU4w4hRJhBCTcEQAEYjrLQF0CTzMwvc6dO1vaKxjGEUJxxBFHBGDowRlCpe23E1kl9BwNzi0pyJHApodK9+EULuHhOMqcORsgtvF7dx6f8BCFaUQTG9jvHx/FxRHsfpA6Ue4KBOcoMEJIqX4iI/SjwfWgIBCTEWKAmlTamCC+EOHZd/zxx1sdNNgaSP8iUGOXHUUmL5X186ga/RcVrgUZgU6dOpkjDMYIpgWPUTBAR7Af4veeKMHLHO8IR6jfGM1LmKpRhxCXQUIgghHiYUbhT2dA79Kli+CPFBuBDp0OkGXfjZSq8xbGbsQjRCBACGgVC4HtT8tJCRy+4MWJ331JCdIknOjwrkBIzIABAwTe5uFEiTAcEW4HAYEIRnjBBReI5iyUSy65xMYHrzJkokAGC1J0BE488UT544PJsmXx39EbcC8RCCACkOK09mPaRob+YHuMR2SE8dDhsWwhUKyO88477xQYv0nxEaiw3bZMsxYfIh4lAgKVKeJ4SUQgSAgUywiDNNggj6VCvdqyacky8TSekEQEiEB0BODZSiICQUOAjDBNd6TCdnWsJ+YcTROg7CanEdB6ppY2DxKgn5D4m0QEgoZAhI0QA0QeQRc0j7giVA335weEoR3B9aR/EVji/SMJghFutYOGU5CIQIEigOxTp556qjncIcE3QjUQrE8iAkFFIIIRwpX6kUcesT836P79+7tVW7744osWRlFkZ4FvDHl9pJyhGDCovsAfBE7fKle4ShdIOHHrrbdKcenfCBsRyCYCEapRLcZp8UVIwxTrj/UII29ZJZUCtS64LBz2lmxeXVQdFNmae4hA/iIA71FHqGaBwHqUdSMRgaAiEMEIUb4FybWLIxT6hEcp6R8EGu7aVG76/WvZOHuezOx3i2xatoLQEIGCROCaa66xeTtzCrLdNGzYUK666ipL41aQoHDSgUYgghHuvvvupt9Hsc5PtUYcinU6Qpkc1CZEjGHHjh0tt6A7VuhLBCWPXPC7LDiivaz7bYbMufbBQoeE8y9QBHr16mU+BgisB7l8xXfccYecccYZcsghhxQoMpx2UBGIYITt27eX999/3zJEXHHFFZY/sFq1apaAd9ddd7Uq1Ujqi0rWJ5xwQlDnVerjQsJh0Gfrlso2B3eQtb9MF2/T5lIfBy9IBIKAAHIS46PaT1CTbtiwweKSkZuURASCgkDcwrwYJCpbI3s9jN/NmjWTfMgzms7CvO5GAif88FG+6rNb75fqb34hjR6/Sars3tQ14ZIIFBQCqH6BNGuVK1cukocUICADjZMYCwoUTjYqAoEtzOtGC8aHcAnUJcwHJujmle4lsEENNqSn+2mjlqJQWvMDM/KkG2f2lzsItGzZUmBOefrpp40hogoGknk/9thjZIK5cxsLYqTFSoT5iEImJEI/Toijavzom1JVpcEd7xrgP8R1IlCwCPz8888CMwslwYJ9BGJOPNsSYUQcYcyR+g4grAK1zEjREejWrZvMmTBdVk2aIp6qTMuwbFV0oLi3oBDwl3kqqIlzsoFHIMJZxo0Yla3ffPNNt2lLhEyccsop8tZbbxXZz41IBKrsuZtsWbVG1v8+O/Ig9xABIkAEiEBgEIjJCKE+PPfcc+W9996zwYL5wRlk5cqVgqKepPgIVGm9mzVY8wO94+IjxaNEgAgQgewiEFM1WqdOHWOCRx11lLRu3VrGjx9vaZIYMpHYDbvt2SelexlPVn8/VWod1zWxk9iKCBABIkAESh2BmBIhRrLnnnvKO++8I1999ZUMHjyYcYNJ3J51akf9euk8WTn+O1nxxdeCGCoSESACRIAIBA+BCEbYr18/qV27duivc+fOpg496aSTQvvCbYfBm1b2R3TggQfK0Lm/yibxZM6V98rvp10uK8d+nf2BcQREgAgQASJQBIGI8AnE/fjTqhVp/b8N5A3cZpttoh3KiX2ZDp8ACKtWrbJSVeed1VeuO7CbLH72Ddm8fIVUar6zNLj2fKm4U4OcwIqDJAJEgAhkGoFsh09EMMJMTzgI/ZcGI8Q8O3ToYLXYkH1/60qVZemro2XRky9Ludo1pfHTt0m5baoFAQ6OgQgQASKQVQSyzQgjVKMODRTjXbt2rW3CRnjhhRfKjTfeKAihICWGANSjM2bMECTkHv7qK1Ln5KOk4Z2XyyYt3jvnhocsxjCxntiKCBABIkAEMoVABCNcs2aNIPE2UoXVr19fXn/9denevbupS0eNGiWwGdLxI7HbgYKkn3zyieF5//3320nV9m0ldfueKKsnTpaFKh2SiAARIAJEILsIRIRPPPfcc4Iq9cuXL7eCmii3dN9998lFF11kibdRZeHbb7+VffbZJ7sjz5Gr48MBf45eeeUV6XJkF6mqeUiXPP+mVG7aSLbp0t4d5pIIEAEiQARKGYEIiRD5AFEvrEqVKmbj2m677WTvvfe2YVWoUMGSb7PadMnvUvPmzaVWrVrS8OaLpOLOO8jc2x6Tdb/PKnmHPJMIEAEiQARSQiCCEa5evbqIR2jVqlWNKbqrlCtXzmqKuW0uk0MAKucffvhBzu53oWx7wwUi5crKjPNvlOUffUWVc3JQsjURIAJEIC0IRKhG0euKFSvM2xHrmzZtksWLF4e2kXCblBoC8+fPlyFDhgiwfPSuq2TujQ/J3OsflCUvvi01juos23RsK+Vr10jtIjybCBABIkAEEkIgQiLEWTfccINsv/329ofk2127dg1tf/rppwl1zEaxETjssMPkzDPPlOeff17en/6TNB3xgNS78FTZuHCxzL/naZl29Lmy6Pk3YnfAI0SACBABIpA2BCLiCJFUe926dXEvgGD6XC7DVFpxhPFAhHdumzZtTNKGqhQ12lCyae2Pv8m8e5+WDbP+kp2fuEUqNd0pXjc8RgSIABHIeQQCF0cIJrHtttvG/cskE/zjjz/k999/j7ixEydOFKgU84XgjDR8+HD76DjiiCMEcZuoW1ilVTMr5lum4lYy96aHZcv6DfkyZc6DCBABIhBIBKKqRrMx0o0bN8qRRx5plS6aNm0qPXv2FDjuOLruuuvkiy++cJt5sWzVqpU8/PDDMm3aNMH6vHnzbF4V6tWW+pf3kfV/zpEFg4flxVw5CSJABIhAUBEIDCMcPXq0xS8i1ynskshqc+yxx+a9hypshb/99puVuLrlllvsOYHkW/2g/5OtNb7w79c/kLXT/gzq88NxEQEiQARyHoHAMMIPP/xQTjzxREG4xk477SSvvvqqVK5cWU455RTZorazfCbMt2/fvvLII4/YNDF3eOvWv+h0KVupksxXmyGz+eTzE8C5EQEikE0EAsMIkcEGKdw2b95seCBe8aWXXpK5c+danlO3P5tglda1zz//fIGt9KOvJ8i2fY6XtT9Nl2Vvf1pal+d1iAARIAIFhUBgGOHhhx8uyFiDEk+O6cGhBIWBJ02aJB999FFB3ZgnnnjCbKZ/NqotFRrWl/n3Pytrp/5RUBhwskSACBCB0kAgMIwQTA/OMG+//bZAGnRUo0YNGTdunAwePFgaN27sduf98rLLLrMQlZNVNbyDpmODF+nMi26RNZN/zfu5c4JEgAgQgdJEIGpmmdIcQPi1XF5T/34kAUfsInJ0JkILFy6MGoLhznUSp9sO4hI5XpHs/JxzzpEXPhkjpz12ozLCW2WG/jV54W7ZqkG9IA6bYyICRIAI5BwCEQH1QZ1B27Zt5aabbhKoUIujCRMmyIgRI2I2g1NKLqSKA8PGhwG8SOFZutXi5fLHaQOk9indpd45PWPOjweIABEgArmEQLYD6nOGEabzpgYhs0yi80E9wy5dusill14q99xzj/x53g2y8a+F0vS1hy0AP9F+2I4IEAEiEFQEss0IA2MjdDcIdRAh0b3xxhuC2EJkXMkF6c2NP91LVLkHI4SaFDGWNQ4/QDYt/ltWf/1jui/F/ogAESACBYlAoGyEAwcOtEwrderUMXsg4gcXLVpkjPCBBx6QXr16FeRNQjHfN998U+rXry9butSQ+YOelWXvfSaodk8iAkSACBCB1BAIDCMcOnSoSYG//PKLhVD4pzV58mRBnGG7du2kSZMm/kMFsV6zZk0544wzbK6ffDVOmndqKys/mySbV6+RclWrFAQGnCQRIAJEIFMIBEY1iqTa/fv3j2CCmDjycPbu3VvGjBmTKRxypl+EmdQ4vJN4GzbKgkeHW8WKnBk8B0oEiAARCCACgWGE+++/vwwbNqxIom2HFwoDwwu0EKVBh4FbdujQQaq22UOqtG4hy974QGZdeodsWrbCHeaSCBABIkAEkkQgMIwQCbZbtGhhdrBOnTpJjx495JhjjhEwyF122cVyjh566KFJTi//msNuulfr1vJJ6wZS9+yT1GlmisweeE/+TZQzIgJEgAiUEgKBC5+YPn26TJ061SpQlClTRho0aCDt27c3BpkuTHIpfCLanKEqRokqxBb+df2Dsvqbn6TZu09Ga8p9RIAIEIHAI5Dt8InAOMu4OwX1J1WgDo3oy379+slZZ50lzz33nHTbdWdZ8ckE2TB/kWy13bbRT+BeIkAEiAARiIlAYFSjMUfIAxEIIIykUaNGglqGb0/5xo6v+5U1CyOA4g4iQASIQAIIkBEmAFLQmqBO43fffScHHXSQXDLoThveumkzgjZMjocIEAEikBMIkBHmxG2KHCSqcrz77rvSZK9WsmjzBqFEGIkR9xABIkAEEkGAjDARlALaBlU57rrrLinTaHtZO42q0YDeJg6LCBCBgCNARhjwG1Tc8JCLdLdDD5TNS5fLxsVLi2vO40SACBABIhCGABlhGCC5uFmpWSMb9rpfZ+Ti8DlmIkAEiEBWESAjzCr86bl4JQ2hAK2jejQ9gLIXIkAECgoBMsI8uN0V6tSU8rVr0GEmD+4lp0AEiEDpIxC4gPrShyD3r/jll1/K3L8XyB5fr5W5tz4qFerVkdonHSnlqrEyRe7fXc6ACBCBTCNAiTDTCJdC/3PnzpXnfvlGNlUsLys/nySLn31N/jznOtkwb1EpXJ2XIAJEgAjkNgKUCHP7/tno9957bzlx8Sw5sMtucumll8qKzybK3JsekT/OvFqqd2knZSpVlEo77yBbH9BWym1dNQ9mzCkQASJABNKHABlh+rDMWk+NGzeW6tWryzff/JNubZtO+0qFR2rLrMvvkr9HfSyyecs/Y7t7iFRrv6fU6XW0VGm5a9bGywsTASJABIKEABlhkO5GCceCKh2QCj/++GO5//77rXRVmzZtpNmox61Hb9MmWf3dL7J8zBey/KMJsmrst1KxyU5S7f/2kkq7NJSy1apKmXJlpVLTnaR8zeolHAVPIwJEgAjkJgKBK8NUGjDmehmmaBgNGDBA7r77bjsE6XDZsmXRmsnmFatk6Svvy9JXR8vm5auKtClXfWvZ6f6rjSEWOcANIkAEiEAGEch2GSYywgze3NLues2aNbJgwQJBHtKaNWtazcKqVf+xCa5fv14qVqxYZEibV66W9X/OkS3r1itTXCnz7x8q3sZNssNN/VSFuleRttwgAkSACGQKgWwzQnqNZurOZqHfKlWqyM4772xMEJe/6KKL5Pfff5eBAwdKtWrVBA/bkCFDBEwRBMeZKq2aSbV9W0n1Q/aTRo/eKGUrV5RZl90p03qcL3/d9aQs/+BL2bhgibXnPyJABIhAPiJAiTAf72rYnDapjfCWW26RRx55RBYvXiz169eXU089VY4//nhBtfutttoqdMamZStk+ftfyMpx38ma738R2fKPo0357eoYs6zWtpVU3m0XZZiVQudwhQgQASKQCgLZlgjJCFO5ezl27hZlaq+99prccccdIQ9TqEtRzgnMcZtttpEGDRqEZrVl/QZZ+9N0ZYg/y8ovv/03c00ZkfJ1a0v5WjUsaB+2xbIaooHsNmCQFepvK1V2byoVlHmSiAARIALFIUBGWBxCGTiej84yycI0efJkmTRpksyZM0euuOIK8TxPUPA3Hm1ctFTW/DBV1v74m6yfPU+2rFojm1aslC1qa9y8bGXEqWCEjYfdK2Ur/itxRjTiDiJABAoeATLCLDwCZITxQX/iiSdMZdqunQbja2hGIgRG6q1Vp5s1a2XDzLmmWl064l2p0/s/UvfM4xLpgm2IABEoUASyzQgZR1igD16saU+fPl369etnDjX16tWTHj16yJFHHikHH3xwhNepvw8wzDJVKklZ/UMS8Kr77GEeqUuGvSU1unaUrRrU8zfnOhEgAkQgMAjQazQwtyIYA2nSpInMmDFDHnzwQdltt93kySeflG7dupkn6mmnnSbIa5oo1e/fW1TnKvPufVpgbyQRASJABIKIAJ1lgnhXAjSm5cuXy/vvvy8jR46Ut99+28IvTjrpJNm8eXNIQhw1apSsWrVK6tatK7Vr1xYwU4RrgBY+9YosfuZVKVOhvFRWB5qtdqwvFbatJeZgU7WyVFCnG6R7K1OeyokA3XYOhQiUKgLZVo2SEZbq7c6Pi4EJwiZYXpnX2LFj5ZhjjpElS/6NNSxXrpyleTvllFPkzDN6WxLw1ZOmyKqJk2XTUs14s2lzESDKVqksVdvuoTGNzY0pVm7RpMhxbhABIpDfCJARZuH+0lkmvaAvXbpUpk2bJosWLbI4xYkTJ8qrr75q22+++aZ07969yAU3aRYbpHrbsnqtrJ8xV1aN+1ZWTvhBPN0GVW7ZTHZ64Gopu1WFIudxgwgQgfxEgIwwC/eVjDDzoG/YsEFuvfVWOf3002WXXXYp9oKQMDfM+kurZXwiS4e/I1X22k0a3nEZiwsXixwbEIHcR4CMMAv3kIywdEFHVYwuXbrYRZHZZu3atQKPVH9GG/+Ilr4yWvOePitlNP4QJaWqat5Tq6tIO6IfJq4TgbxBINuMkB4KefMoBXciLtk3wjB++uknmTlzpg0WAfxwrunZs6ccddRR0r59e6lQoYLUOu4wqdCgrix75zNZ/vF4LR81VhYoY9z6gDaataauOtpU00w2lcwBp2zFClJGU8Qhsw0Yp4VvqDMOtklEgAgQgUQQoLNMIiixTdoQGD9+vDnYLFy4UP7++2+BPXHKlCnmfIOYRdgW/bRlzTpZOfZrWfLaB7Lu598096nnPxxzHQyxvDLE8rVrWiLxMurAU67mNlJN4xurtN5NytXYJuFkATEvwgNEgAikBYFsS4RkhGm5jewkFQTmzZsnY8aMkcaNG5snaqyMNt7mLeZksxlp3dZt0JJRG8XT+ETEKP6z3KgOOGtk48Ilsm7aDEH7jQsXi7dhk65v+icNnO5zZJJktcpSbptqxhi3qlfb1ivusqNs1XA7q8tYrmoV15xLIkAEMoQAGWGGgI3XLW2E8dAJxjHEJaKWIqTGWrVqpWVQqLuIihor1UsVEuJmzZUKz1XUZdysVTc2LFCmqRKonypo3CPiH6tqrGOFeppEXM8rU17/sCyn+SjKagq6smWNgZavWZ15Vf3gcZ0IJIhAthkhbYQJ3ig2K10EEJ/4/+2dCZQU1RWG7ywMywAzKDvDJoZVQJRFOaIDaEQwGowJCgku8cSgIVGRmGBicAlR0ahHExSXEFFBE8WTHEREFkkQiCQIwoDsICD7MmyzMZX7X1Kd7p6hp2m6p6pn/ndOT3d1V71673vT/de9775ba9eulXvvvVc6duwoo0aNEizkx6L9WAvmDXHD4Ug3HT4Ji3LnHinc9rWcWLNR776xXo7MXSz5sxZGdVrcrqpe34skU6Nea7bNMcuSyQKiQsedSMAzAnSNeoaeJ66IAOYRn332WXnjjTfkq6++st1xq6hGjRrZDYhfffVVadWqVaAaLPSfNGmSpYNr37695OTkmHBigf/ZFEfv51iwYZtZjXC3YlvwrOdDCrlTLtsjUrR9txRs3CYnvlhn7wfOCctRc7Gmn5Olt6ZqZEtCUjQoKLWWBvfUzVQXb4nmZ80+ZW1qBh4IJzLxwPJ0CosltV4dSVGrE5ZnilqgyMqTrvlcM5o3sX0C5+ELEkhSAl5bhBTCJP3HqU7NxhrDTz/91O6biFynu3btsltGPfroozavuHz5cgu2gRsVWW4giG5JVfFAdCoiV2+//XaZOHGi+1HCnnEHjoIvN1vS8SK1LjGXWbzngN3kuGjHbik9UWACZ3ObBeqKjS7+p0x7U+tlSvbgK8zCTa1dUzCfmdGmBYOAypDiG34nQCH0YIQ4R+gB9Eo65aFDh8ylunjxYruDBgJx8vPzpVjF6Ec/+pFZiaNHj5aZM2fKww8/LNgPUatNmzaVLl26SPPmzQXBOl27djWRjfY2VLF2z25fpXOXrqUJa9Mp1hR2aiWGWJ56U2Xsi6jZkoOHNfnA15ay7vh/VoecGoE/SEaACFnMX6aq5WnzmZjX1GUmKbrcBBl7Tuo5a7ZsJpjXxA2VYWHyvpEhKLlRiQQohJUI2z0VhdAlwWfce3HWrFmybds2SxOHIB239OvXTxYuDJ0bPH78uCxYsMDWO9bStYxY94jEAJi7bNasmcbSnJ0b1j13tM9Fu/ZK4YatGjlbbHlcjy9fI0eX6XIUFVKBC/dMrM2MdF1qUsvENk3zvzoqvlhqUj+3j9Rs3Vzdu+qahZtXHyau5q7V228hcEjFlWs3ox017hdOgEIYTqQStimElQA5SU8Bt+uqVasCVuIAzYiDLDjTp0+Xiy++WF577TV5/PHHy+0dRBF36bj++uvL/dyLN82KRJJ0TXTuFOnyEk19h3lHuGVPas7Xgo0696qCV7L3gBTvV/etCmfJ3oOSpm5XLEMp3Lzdjoum7Zj/zNJ7T9a/opfUbNfq1LxmNAdyn2pPgELowb8AhdAD6FXklIWFhTZfCcsQr0vU6sIzBBRW5fjx42XKlCkWzNO5c2cT1N/97neWgBzBO61bt7blIFgagv9DiGb37t1D6BTovOHGjRsFFqc7vwmrE3f7wFwn5j0rq2A+8/D8pSIqohBVLDdJqZEmxQfyJV3FEncTSatbR5BI/cSq9TY3irbhjiIZOU0tQAgu3lSsx9Tj66lIZl/dr7Kaz/MkCQEKoQcDRSH0AHo1PSUCdzAn+fnnn5tgQuAgopizRBk+fLjgno+41+OgQYPk/vvvtyUjsErLK7A633//fenZs2fIUpLdu3ebUCJlnZelaPsum7s8tmKtLT1JVfHGOk24TrFu01FhrT/gEmk29g6zOr1sK8/tHwIUQg/GgkLoAXSeMoQALEkE8WRlZZWZV4RlOWfOHBNMJCmH+OFuHjgGNzz++c9/bjlbYWFCWBFRi/WWKEg+gHWXDRo0MAsO23fddZfghya4YJ0mAovcuU0ECSV6fhPzlnsmT5f902bqfKPoTZkbSmr9TEnXAB/MR8KKhAs3TdPjYakIXmc0P7VutIZm/Tmp2YRqqpVpmYD0uLR6dTXQJ8uWmwT3ja+TjwCFMGzMcHWMhdSI9oNbqE2bNvZwEzeH7R7TJoUwJmw8yKcEsGwEViLWWuK7k5eXJ8eOHTOhgztz5MiRkpuba6ILkf3BD35ggT1w57oF7lZ8LyCgmBNFNC2WqkBs3YJ1nYiihcsW30cIdCxRtceW52ki9UU6J3lQirZ+rVGsajXq/SlhNSL7j6mk/i3VZShInRexaDQsbuickdPE1mhiLWetdjl2EeBGzJaqVQ73ra3P1HPYswX8aNCPWqyWrF0TtlvAD5ahZGkeWgQFsVQaAa+F0FeZZX7xi1/ICy+8IA0bNrQr21K9SsTNXjEH89xzz8mIESMqbWB4IhJIFgIQr9tuu+2MmgvXK9Zf4hlu2u3bt9sDVie+dxC4L7/80oQQAUJw8WL5SXiBgMJK/c1vfiPf//73zcKECGMOFO5aiKcbXQvhhOWZ2aOzPcLrKm+7FAE+6lqFQOJh6fBUNO3Gzvr+ifVb5Ph/8vTx/2Ukh8ur6AzfS9EsRGmZtaVUrVis0XQLlqAoDLNK8Z5ZscovTRMjIAkC5kGR8L1U89siSQLanNGyue2XhsQIiK41MdboYkvT56bqcyNydRvJFPQBIRcse8F+ytmidfGsDwq1OyLxefaNEP75z3+2q9o1a9ZIy5YtQ3q3cuVKQSg71nedf/75IZ9xgwRI4MwJYC7xyiuvtMfpjh44cKB9hFtkwQLE3CaEDS5UWIvI8oPn7Oxs6d27t4kgvqsQQAQFIco2eDkKKkMAESJr8RxNgWik6jrHigpS41lydRVyy/qjYo5oWGT/sYhZFTRbo4kE7LqPZQVCdiAVMYhtyYHDKjzpUrxL883qcYVbdpgVWbzvkKRn1zu1zlPd03qFICWHjqglmWbrORGJiwQK2M+SwCOoCOeEJauu3YQWWLVqyaJN6ZptCMIKtzICmrCOFOKJ1TPoF6KEIewlehFR45zsUxazsoWo4niId8nBfMlo1sgCn2roXVvgTbDbnGm99lovAk5q3el6GzS3HkQhW2J6q0erUgu7RuNzJPOiLgnterwr901mmbvvvtui58q76kSn77nnHkHaLMx3nG2ha/RsCfJ4EqiYwNKlS83ihFhiLhRu2ZdfftksUCxHCV9msn//fhNaWI6IkIVViTnORM9dVtyT2PaAeDiuFQur9oQmTlDhgHiaOKtguqn6IL4n849Z2j3MpeL2YyhwH8PaLNmv0bkqQLYPLFQVWQQfYa61RPeBACF7kQkaInmVnQk+Lgi0HXAzI2GC1aNzsic1aCklVQUOFwt6Pqw5RbviUjSRQ6d5U+1iIdr66Br9H6nLLrtMXnzxRXN/4gsQXBAw8PbbbwusRhYSIIHkIAAPDh7BBRG0P/nJTyzIB67XBx54wDxB1157rQUAbdmyJXh3c9EiVgCp8x566CHLLQuBzc3NtSUrb731lvTo0UMuuOACiynAMhMIpx/EE+7lFE1QgCQFNRp7G80bArWCDWQ5MmsaIgmxVtENfs/EW8X1lMX9/31dSxyCDYs5mYpvXKNDhw61LB7IzoF/bLhuMFcBEYS75c4775RvfvObycSWbSUBEggj0EaD37BUxC0I8kFBsvStW7fajZrhhsVcJSxJRMtu2LBBevXqZS7XDh06BNytU3S95i9/+Uu3qpBnWJQ4D6ZSIK5w8/72t7+13xgIcJ06daxuuHdx4Y3fmhtvvFGuu+46S623bt0680CtX79eZs+ebWs3sQ9EGdG+CCKCSxj1hq/rhGsYQX+oF/OnOEcsQUUhHarEjUD2oEo8p9en8o1r1AWBf3pEvm3evNn+eVq0aCGXXKLrjlQg41XoGo0XSdZDAt4S2LRpkyxbtkywHASCg/WaEMsTJ06Y8CGQCC5XXFgjnR5EcNGiReaqPXLkiFmO2BfCdc0110j//v0FF+VY3wlrExG2uPvJ6co//vEPO/9VV10VmD8dMmRIQKxxHKxTiCKE84YbbhAEBSIyFzlukdMWbmKIOoKMsA+sWrhVcQwuCP7whz9YFD1y4aKtEGNcOKDv6B8SMGBOFr9rcCtfeOGFltAhuM3YB2wgyK7F7D7juOC7uLjHQfjxwEVFoovXrlHfCeHpgOOfsm/fvoIryooKIuFwx/PTlXHjxtk/z+k+5/skQAIkAAIQJFiqiKxF5Cye8YAgoeA3KdzawxrQf/3rXxZgBLGCkKAO7AevFpazwFKcP3++Ce+DDz4of/vb30yMsS+i5PGACEEI4QqeOnWqTJgwQV555RUZNmyYdOrUySxma0TYH2QqgugtWLDAblmGPkDQ8d7pymeffSaffPKJjBkzRm699Vb505/+ZKIM6xcFVq/rbobFDgt93rx51m5Y0ViKM2PGDHnyySctShi/we7+pztn8PteC2HipT64t2fx+plnnrGrn2iEEFdS4ZGnwac+m5u7BtfD1yRAAlWbAMQrmt+cYAqwDvGoqMD6RIHLFo9IBSKIcscdd9gzAo8QxQtBhiUJ6xYRuhBpBBWiYB7VLRDduXPnBgQdVjIsQYg7hLJbt25y4IDmmtWChA3o99ixY02cIcY4B0QaU1WwvMOZ4O4tiASGNQoBDHcXu+3w63PSWITxBOj11Uc8+8K6SIAESCDZCXj9m+w7i7AyMssk+z8N208CJEACJBA/Ar4SQmaWid/AsiYSIAESIIHoCPhGCJlZJroB414kQAIkQALxJaD5dfxREGV13333lRvkgolc5FKMFAnqj16wFSRAAiRAAslGwDdCiMwyb775pkUnhUN0M8swz2g4GW6TAAmQAAmcLQHfuEaZWeZsh5LHkwAJkAAJxELAN0KIW7UgWwIWdCY6s0wsoHgMCZAACZBA1STgGyF08cL9SReoS4PPJEACJEACiSbgmznCRHeU9ZMACZAACZBAeQR8ZxGW18h4v4f0QchkcLqCRf1I/o2ceizJSQBJhjF+GGuW5COA1F/ItYkk0izJSQDfwZ49e0bVeK+/p9UyxVpFI5OXlydPP/20vPrqqxXtys99SgC5HpEEGMmNWZKPAG6htGLFCkFCapbkJIC7Bi1ZsiQpGk/XaFIMExtJAiRAAiSQKAIUwkSRZb0kQAIkQAJJQYBCmBTDxEaSAAmQAAkkigCFMFFkWS8JkAAJkEBSEKAQJsUwsZEkQAIkQAKJIkAhTBRZ1ksCJEACJJAUBNLGa0mKllZiI7F2qUWLFtKqVatKPCtPFU8CjRs3lvbt20tqKq/14sm1suqqXbu23YmmadOmlXVKnifOBJo0aSIdOnSIc62JqY7rCBPDlbWSAAmQAAkkCQFeLifJQLGZJEACJEACiSFAIUwMV9ZKAiRAAiSQJAQohEkyUGwmCZAACZBAYghQCBPDlbWSAAmQAAkkCQEKYZIMFJtJAiRAAiSQGAIUwsRwZa0kQAIkQAJJQoBCmCQDxWaSAAmQAAkkhgCFMDFcWSsJkAAJkECSEKAQJslAsZkkQAIkQAKJIUAhDOM6bdo06dOnj7Ru3druju04Ttge3PQbgaFDh0rXrl0Dj9GjR1sTS0pK5N5775W2bdtK9+7d5cMPP/Rb06t1e/Ly8uTcc88NYRBpzCJ9FlIJNyqNwO9//3sZMWJEyPkmTZoU+C6638uioiLbZ+3atXLDDTcIUucNGTJEdu/eHXKsZxv6Q8/yPwKrV692WrZs6SxcuNBZtWqV06NHD0cHlXx8TKCwsNDJyMhwPv74Y+fTTz+1x5o1a6zFEyZMcAYNGuTs2LHD0QscJzs729m5c6ePe1N9mjZnzhz7rmku2JBORxqzSJ+FVMKNhBMoLi52HnvsMSctLc0ZNmxYyPluvPFGZ9y4cYHvI76XpaWljl7IOD179nSeeOIJZ9++fc6oxkM2WAAADRtJREFUUaOcAQMGhBzr1YZ4dWI/nnfMmDHOfffdF2jaO++84/Tu3TuwzRf+I7B8+XJHLb5yG6ZJ050lS5YEPvvud7/rPPXUU4FtvvCGwLx58xxNau9MnjzZCRfCSGMW6TNvelJ9zwoRGzhwoP1ehgvh+eef73z22Wdl4CxdutTBGEIUUY4dO+bUqVPH2bJlS5l9K/sNukaDbHEdEOnYsWPgHdy9YPPmzYFtvvAfARVCqVWrltx8883mAr3llltk//79olessn379pDs9xjPTZs2+a8T1axF3bp1k40bN8rgwYNDeh5pzCJ9FlIJNyqFwIMPPijqhbE7hASf8MiRIza2r7/+un33Lr/8clm8eLHtgt9SfAdTUlJsW0XQ7vLjh99YCmHQKOKHU91ngXeysrLsR1WvTgLv8YW/CBw8eNC+TOqKkenTpwsuZkaOHCm7du2Ct0Mwhm5xx9Pd5rM3BDAvWLNmzTInjzRmkT4rUxHfSDgB3KYOJfy3cdu2bWZM9O/f3+bkL730UtHpCfn666/twrRBgwYhbfPLdzI9pFXVfAMiqOZ6gMLRo0cF97Vzr2ACH/CFbwioK1vwcMsjjzwi+BKmp6fbl/T48eOSmZlpH7vj6e7LZ38RwI8ifljLG7NIn/mrF9W7NV26dBEEQblF53UF1qHOCZuRge9gcMHvLe5b6HWhRRg0AhooI7iicQteI+KQxb8EZs+eLZ9//nmggXXr1rVIxEaNGkn9+vU5ngEy/n+B8TrdmEX6zP89qz4tXL9+vbz33nuBDmswjcAF2qxZM3OjBv++IgpYg9ekTZs2gf29ekEhDCI/fPhwmTp1qrnXDh8+LM8//7x85zvfCdqDL/1GAK7QH//4x6LRo1JQUGBjhvBsWIQYz4kTJ9r7K1euFIgmQrZZ/Esg0phF+sy/PapeLcOFKKYmNHLbOv7uu+9Kfn6+eWlyc3PlwIEDMmPGDLP88fvaqVMnm9rwnJK6IliCCNxzzz2OutIsqu2mm26ykN+gj/nSZwSwfOL22293zjvvPEfd2I5+2Rydj7BWYqkEon51zZKN50svveSz1lfv5uicfJmo0UhjFumz6k3Su97rOsIyyycQDawuUqddu3aOWoLORx99FGjgBx984Og8oZOTk2PL07BkzQ8lBY3wXI191gD4rYEFVzcsyUEAC3YxtxQc7OS2fO/eveYu1VB99y0++5xApDGL9JnPu1Wtmrdnzx6LsQjvtC6fsCBETF/4pVAI/TISbAcJkAAJkIAnBHiJ7Al2npQESIAESMAvBCiEfhkJtoMESIAESMATAhRCT7DzpCRAAiRAAn4hQCH0y0iwHSRAAiRAAp4QoBB6gp0nJQESIAES8AsBCqFfRoLtIAESIAES8IQAhdAT7DwpCZAACZCAXwhQCP0yEmwHCZAACZCAJwQohJ5g50lJgARIgAT8QoBC6JeRYDtIgARIgAQ8IUAh9AQ7T0oCJEACJOAXAhRCv4wE20ECJEACJOAJAQqhJ9h5UhIgARIgAb8QoBD6ZSTYDhIgARIgAU8IUAg9wc6TkgAJkAAJ+IUAhdAvI8F2kAAJkAAJeEKAQugJdp6UBEiABEjALwQohH4ZCbaDBEiABEjAEwIUQk+w86R+IFBaWioHDx70Q1MS1oaCggI5ceJEwupPdMXFxcWSn5+f6NOw/mpOgEJYzf8Bqlr3e/fuLZ988klU3Zo8ebK89957Ue17tjs9+uijMmbMmLOt5oyOnzBhgjRo0ECuvPLKqI/r1q2bLFmyJOr9w3f84osv5KOPPgp/O+btkydPyre//W2BILKQQKIIUAgTRZb1ekLg6NGjUlJSUuG5sd/06dPl1ltvrXDfeOxQVFQksM4qs7z88svWx0WLFkV92mPHjgnEJ9byxBNPCMQwXqVWrVoyfPhwefHFF+NVJeshgTIE0su8wzdIoIoQWLlypcyePVvuvvtuqVOnTkivnnzySRk0aJCkpaXZ+y+99JJcddVV8s4778ju3btl6NChcvnll9tnf/zjH+W6666TnJwc23777belY8eO0r17d8FxAwYMkL/+9a9y5MgRue2226RGjRryyiuvSJMmTWTEiBFyzjnn2HGO4wjECUKBY2DpuGXDhg0ydepUcwNee+21MnDgQPtowYIF1sb58+dLw4YN5a677nIPsWeIPiwwPDp06CA//OEPJSMjQ55//nnZu3evfPzxx9KsWTOBpRxccCGAfqxevVr69+9vLNBut+zatctY/PSnP7W3YJGB2dixY61+WN0zZsyQmjVryuDBg+WKK66QpUuXyqpVq2T//v3GBpbomfSrvDpx8ptvvlk6d+4sI0eOlKysLLeJfCaBuBGgRRg3lKzITwQggtdcc40JVrgIop1vvfWWfOtb3wo0+dlnnzVhKiwsNOHCj7hr2Tz99NOydevWwL6vv/66LFu2zLZxHEQzMzPT9rn66qvNymzcuLGJ8AMPPBA4bsqUKTJ37lz5xje+IRCYZ555xj7DeS699FKby2vVqpWJKYQUZc6cOfK9731P1q9fLxCn4IK2XnTRRSZ6Xbp0kTfffNPcoJj7hPilpqaaGNetWzf4MIF1ev3118tf/vIXE6yJEyfKY489FrLPjh07BNadW3DMr371K8E5//3vfwfEqW3bttZ/CHa9evXsgiM7O1vwOJN+na5OnB9su3btaizc9vCZBOJKQK9SWUigyhDo1KmTo+LkqPXmfPjhh+X2S91/joqEo0Ekgc/VwnPuv//+wLZaSY7OIdr2eeed5/zzn/8MfKYWkKNCZds47rnnnrPXBw4ccPTL6ahVadv64+60aNHCXquIONjXLSpajoqlbQ4bNswZNWqU+5GjVqzTvHlz2x43bpxz2WWXBT4LfqHC6jRt2tRR4bO30S91JToffPCBbaN+vSAIPsReq7g69evXd9TKs+1t27Y5jz/+uL12+6pCH2gDPlAL0vqmgSvOtGnTnAsuuMDZvHmzHYN+fvXVV/ZaLWDnqaeestdn0q9IdaKyn/3sZ8748eOtXv4hgXgToEUY18sKVuYHAr/+9a/Nxei6JMPbtG7dOgsiwfxTcIG70i04FtZPNKV9+/a2GwJTYIVdcskltg1LDC5It8D16pbc3FzZs2ePHDp0yNyT7777rrRr184ed955p+zcuVMOHz5su6u4u4eFPK9Zs8bcuSkpKfY+LN9+/frJ2rVrQ/YL31ixYoXtl55+amakZcuWEmy5hu8fvg1rEkE1cMXi+e9//7uce+654budUb8qqhNu6Yr6VaYBfIMEoiRAIYwSFHdLHgKTJk2SRx55xFyU5YmZWlEmMuGRiOHC6PYYQhO8L+bAggvmyYILxLC8ErxUY8uWLTbXBnciHmqNmisR7kQ8sK87HxZev1u3WnWCeoLLxo0bBcIWqUAwt2/fHtgFwTHvv/9+SJAR+gB3qFvU2rWXeiUutWvXtjlQCDkEFPOj5UXEnkm/Kqpz37595uZ128NnEogngfK/sfE8A+sigUomAKEbPXq0QCjUnVbm7Pi8UaNGsmnTpjKflfcGgl7cJQUIBoFQxVIwj4YfdIjqa6+9FgjWwVzmG2+8IYjYhEi98MILFpxT0TkwH4l2YX4NZdasWYK5vT59+kQ8FJZvXl5e4DjMl2Ku07UQcTDmOCHGsJ5RsI9bENSDOjB3h2AgBMsgUAgF77nr/s6kX5HqRL2wBi+++GK8ZCGBuBM45RuJe7WskAS8JQCLBgEnvXr1smCO8KhJ/KhC1ODeq6g89NBDctNNN1mEKEQ02MVZ0bHBn8ON2LdvXxM8uPrgDkVBJCaCYVq3bm3WHEQI0aUVFfRB5yclV92siChFkAzWRVZkEaLPsJoRLepeFEB8g4vObdrFxIUXXmiWGFyXCIBBgfjpPKS5cRGhCvGDVYiCOm+55RYTZNQZbb8i1Yl6Ed2KdZEsJJAIAimYdExExayTBPxMYObMmWZ5wYqKpsB9CPcgLMmzKZHqwTpDPFzBifY8qDMW1yGOwxxlefN77rndOc7wyFN8DssW1l/48XCpwp3sLsc4k36VVyeWVWDed+HChW6z+EwCcSVAIYwrTlaWTASwjhBLBLAekMW/BIYMGSLIzIOlIiwkkAgCnCNMBFXWmRQEsI4PLjcW/xKAxQp3K0XQv2NUFVpGi7AqjCL7QAIkQAIkEDMBWoQxo+OBJEACJEACVYEAhbAqjCL7QAIkQAIkEDMBCmHM6HggCZAACZBAVSBAIawKo8g+kAAJkAAJxEyAQhgzOh5IAiRAAiRQFQhQCKvCKLIPJEACJEACMROgEMaMjgeSAAmQAAlUBQIUwqowiuwDCZAACZBAzAQohDGj44EkQAIkQAJVgQCFsCqMIvtAAiRAAiQQMwEKYczoeCAJkAAJkEBVIEAhrAqjyD6QAAmQAAnETIBCGDM6HkgCJEACJFAVCFAIq8Iosg8kQAIkQAIxE6AQxoyOB5IACZAACVQFAv8FjvXTRTrhhzcAAAAASUVORK5CYII=" /><!-- --></p>
<div class="sourceCode" id="cb190"><pre class="sourceCode r"><code class="sourceCode r"><span id="cb190-1"><a href="#cb190-1" tabindex="-1"></a><span class="fu">Bk_plot</span>(dend1, dend2, <span class="at">main =</span> <span class="st">&quot;CORRECT Bk plot </span><span class="sc">\n</span><span class="st">(based on dendrograms)&quot;</span>)</span></code></pre></div>
<p><img role="img" 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" /><!-- --></p>
</div>
</div>
</div>
<div id="session-info" class="section level1">
<h1>Session info</h1>
<div class="sourceCode" id="cb191"><pre class="sourceCode r"><code class="sourceCode r"><span id="cb191-1"><a href="#cb191-1" tabindex="-1"></a><span class="fu">sessionInfo</span>()</span></code></pre></div>
<pre><code>#&gt; R version 4.4.1 (2024-06-14)
#&gt; Platform: x86_64-apple-darwin20
#&gt; Running under: macOS Big Sur 11.7.10
#&gt;
#&gt; Matrix products: default
#&gt; BLAS: /Library/Frameworks/R.framework/Versions/4.4-x86_64/Resources/lib/libRblas.0.dylib
#&gt; LAPACK: /Library/Frameworks/R.framework/Versions/4.4-x86_64/Resources/lib/libRlapack.dylib; LAPACK version 3.12.0
#&gt;
#&gt; locale:
#&gt; [1] C/en_US.UTF-8/en_US.UTF-8/C/en_US.UTF-8/en_US.UTF-8
#&gt;
#&gt; time zone: America/New_York
#&gt; tzcode source: internal
#&gt;
#&gt; attached base packages:
#&gt; [1] stats graphics grDevices utils datasets methods base
#&gt;
#&gt; other attached packages:
#&gt; [1] corrplot_0.94 pvclust_2.2-0 dynamicTreeCut_1.63-1
#&gt; [4] gplots_3.1.3.1 DendSer_1.0.2 seriation_1.5.6
#&gt; [7] gclus_1.3.2 cluster_2.1.6 viridis_0.6.5
#&gt; [10] viridisLite_0.4.2 ggplot2_3.5.1 circlize_0.4.16
#&gt; [13] colorspace_2.1-1 knitr_1.48 dendextend_1.19.0
#&gt;
#&gt; loaded via a namespace (and not attached):
#&gt; [1] sass_0.4.9 utf8_1.2.4 generics_0.1.3
#&gt; [4] bitops_1.0-8 KernSmooth_2.23-24 shape_1.4.6.1
#&gt; [7] gtools_3.9.5 digest_0.6.37 magrittr_2.0.3
#&gt; [10] caTools_1.18.2 evaluate_0.24.0 grid_4.4.1
#&gt; [13] iterators_1.0.14 fastmap_1.2.0 foreach_1.5.2
#&gt; [16] jsonlite_1.8.8 GlobalOptions_0.1.2 gridExtra_2.3
#&gt; [19] fansi_1.0.6 scales_1.3.0 codetools_0.2-20
#&gt; [22] jquerylib_0.1.4 registry_0.5-1 cli_3.6.3
#&gt; [25] rlang_1.1.4 munsell_0.5.1 withr_3.0.1
#&gt; [28] cachem_1.1.0 yaml_2.3.10 tools_4.4.1
#&gt; [31] dplyr_1.1.4 ca_0.71.1 TSP_1.2-4
#&gt; [34] vctrs_0.6.5 R6_2.5.1 lifecycle_1.0.4
#&gt; [37] MASS_7.3-60.2 pkgconfig_2.0.3 pillar_1.9.0
#&gt; [40] bslib_0.8.0 gtable_0.3.5 glue_1.7.0
#&gt; [43] xfun_0.47 tibble_3.2.1 tidyselect_1.2.1
#&gt; [46] highr_0.11 rstudioapi_0.16.0 farver_2.1.2
#&gt; [49] htmltools_0.5.8.1 rmarkdown_2.28 labeling_0.4.3
#&gt; [52] compiler_4.4.1</code></pre>
</div>
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