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</head>
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<body>
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<h1 class="title toc-ignore">Frequently asked questions</h1>
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<h4 class="author">Tal Galili</h4>
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<h4 class="date">2024-11-15</h4>
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<div id="TOC">
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<ul>
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<li><a href="#introduction" id="toc-introduction">Introduction</a>
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<ul>
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<li><a href="#how-to-colour-the-labels-of-a-dendrogram-by-an-additional-factor-variable" id="toc-how-to-colour-the-labels-of-a-dendrogram-by-an-additional-factor-variable">How
|
||
to colour the labels of a dendrogram by an additional factor
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variable</a></li>
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<li><a href="#how-to-color-a-dendrograms-labels-according-to-defined-groups-in-r" id="toc-how-to-color-a-dendrograms-labels-according-to-defined-groups-in-r">How
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||
to color a dendrogram’s labels according to defined groups? (in
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||
R)</a></li>
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||
<li><a href="#how-to-color-a-dendrograms-brancheslabels-based-on-cluster-i.e.-cutree-result" id="toc-how-to-color-a-dendrograms-brancheslabels-based-on-cluster-i.e.-cutree-result">How
|
||
to color a dendrogram’s branches/labels based on cluster (i.e.: cutree
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||
result)</a></li>
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<li><a href="#change-dendrograms-labels" id="toc-change-dendrograms-labels">Change dendrogram’s labels</a></li>
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||
<li><a href="#larger-font-for-leaves-in-a-dendrogram" id="toc-larger-font-for-leaves-in-a-dendrogram">Larger font for leaves
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||
in a dendrogram</a></li>
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<li><a href="#how-to-view-attributes-of-a-dendrogram" id="toc-how-to-view-attributes-of-a-dendrogram">How to view attributes
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of a dendrogram</a></li>
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<li><a href="#how-to-color-the-branches-in-heatmap.2" id="toc-how-to-color-the-branches-in-heatmap.2">How to color the
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branches in heatmap.2?</a></li>
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<li><a href="#for-package-developers---how-to-call-imported-calls-from-dendextend-0.18.3" id="toc-for-package-developers---how-to-call-imported-calls-from-dendextend-0.18.3">For
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||
package developers - how to call imported calls from dendextend
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||
0.18.3?</a></li>
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||
<li><a href="#how-to-plot-a-fan-polar-dendrogram-in-r" id="toc-how-to-plot-a-fan-polar-dendrogram-in-r">How to plot a fan
|
||
(Polar) Dendrogram in R?</a></li>
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||
<li><a href="#a-way-to-calculate-lowest-value-of-h-in-cut-that-produces-groupings-of-a-given-minimum-size" id="toc-a-way-to-calculate-lowest-value-of-h-in-cut-that-produces-groupings-of-a-given-minimum-size">A
|
||
way to calculate lowest value of h in cut that produces groupings of a
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||
given minimum size?</a></li>
|
||
<li><a href="#coloring-dendrograms-end-branches-or-leaves-based-on-column-number-of-data-frame-in-r" id="toc-coloring-dendrograms-end-branches-or-leaves-based-on-column-number-of-data-frame-in-r">Coloring
|
||
dendrogram’s end branches (or leaves) based on column number of data
|
||
frame in R</a></li>
|
||
<li><a href="#color-side-bar-dendrogram-plot" id="toc-color-side-bar-dendrogram-plot">Color side bar dendrogram
|
||
plot</a></li>
|
||
<li><a href="#plot-a-mirror-labels-on-the-left-horizontal-dendrogram" id="toc-plot-a-mirror-labels-on-the-left-horizontal-dendrogram">Plot a
|
||
“mirror” (labels on the left) horizontal dendrogram</a></li>
|
||
</ul></li>
|
||
</ul>
|
||
</div>
|
||
|
||
<!--
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%\VignetteEngine{knitr::rmarkdown}
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%\VignetteIndexEntry{Frequently asked questions}
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||
-->
|
||
<div id="introduction" class="section level2">
|
||
<h2>Introduction</h2>
|
||
<p>Questions are often taken from here the <a href="https://stackoverflow.com/questions/tagged/dendrogram+r">stackoverflow
|
||
<code>dendrogram</code> tag</a>.</p>
|
||
<div id="how-to-colour-the-labels-of-a-dendrogram-by-an-additional-factor-variable" class="section level3">
|
||
<h3>How to colour the labels of a dendrogram by an additional factor
|
||
variable</h3>
|
||
<p>Asked (<a href="https://stackoverflow.com/questions/27485549/how-to-colour-the-labels-of-a-dendrogram-by-an-additional-factor-variable-in-r" class="uri">https://stackoverflow.com/questions/27485549/how-to-colour-the-labels-of-a-dendrogram-by-an-additional-factor-variable-in-r</a>)[here].</p>
|
||
<p>Solution: use the <code>labels_colors</code> function.</p>
|
||
<div class="sourceCode" id="cb1"><pre class="sourceCode r"><code class="sourceCode r"><span id="cb1-1"><a href="#cb1-1" tabindex="-1"></a><span class="co"># install.packages("dendextend")</span></span>
|
||
<span id="cb1-2"><a href="#cb1-2" tabindex="-1"></a><span class="fu">library</span>(dendextend)</span>
|
||
<span id="cb1-3"><a href="#cb1-3" tabindex="-1"></a></span>
|
||
<span id="cb1-4"><a href="#cb1-4" tabindex="-1"></a>dend <span class="ot"><-</span> <span class="fu">as.dendrogram</span>(<span class="fu">hclust</span>(<span class="fu">dist</span>(USArrests[<span class="dv">1</span><span class="sc">:</span><span class="dv">5</span>,])))</span>
|
||
<span id="cb1-5"><a href="#cb1-5" tabindex="-1"></a><span class="co"># Like: </span></span>
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||
<span id="cb1-6"><a href="#cb1-6" tabindex="-1"></a><span class="co"># dend <- USArrests[1:5,] %>% dist %>% hclust %>% as.dendrogram</span></span>
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||
<span id="cb1-7"><a href="#cb1-7" tabindex="-1"></a></span>
|
||
<span id="cb1-8"><a href="#cb1-8" tabindex="-1"></a><span class="co"># By default, the dend has no colors to the labels</span></span>
|
||
<span id="cb1-9"><a href="#cb1-9" tabindex="-1"></a><span class="fu">labels_colors</span>(dend)</span></code></pre></div>
|
||
<pre><code>## NULL</code></pre>
|
||
<div class="sourceCode" id="cb3"><pre class="sourceCode r"><code class="sourceCode r"><span id="cb3-1"><a href="#cb3-1" 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="cb3-2"><a href="#cb3-2" tabindex="-1"></a><span class="fu">plot</span>(dend, <span class="at">main =</span> <span class="st">"Original dend"</span>)</span>
|
||
<span id="cb3-3"><a href="#cb3-3" tabindex="-1"></a></span>
|
||
<span id="cb3-4"><a href="#cb3-4" tabindex="-1"></a><span class="co"># let's add some color:</span></span>
|
||
<span id="cb3-5"><a href="#cb3-5" tabindex="-1"></a><span class="fu">labels_colors</span>(dend) <span class="ot"><-</span> <span class="dv">1</span><span class="sc">:</span><span class="dv">5</span></span>
|
||
<span id="cb3-6"><a href="#cb3-6" tabindex="-1"></a><span class="co"># Now each state has a color</span></span>
|
||
<span id="cb3-7"><a href="#cb3-7" tabindex="-1"></a><span class="fu">labels_colors</span>(dend) </span></code></pre></div>
|
||
<pre><code>## Arkansas Arizona California Alabama Alaska
|
||
## 1 2 3 4 5</code></pre>
|
||
<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="fu">plot</span>(dend, <span class="at">main =</span> <span class="st">"A color for every state"</span>)</span></code></pre></div>
|
||
<p><img role="img" src="data:image/png;base64,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" /><!-- --></p>
|
||
<p>Instead of using <code>1:5</code>, we can obviously use colors that
|
||
are based on another factor (organized): the labels themselves. But in
|
||
such a case, we want to map between the order of the labels and the
|
||
order of the items in the original dataset. Here is another example
|
||
based on the iris dataset:</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><span class="co"># install.packages("dendextend")</span></span>
|
||
<span id="cb6-2"><a href="#cb6-2" tabindex="-1"></a><span class="fu">library</span>(dendextend)</span>
|
||
<span id="cb6-3"><a href="#cb6-3" tabindex="-1"></a></span>
|
||
<span id="cb6-4"><a href="#cb6-4" tabindex="-1"></a>small_iris <span class="ot"><-</span> iris[<span class="fu">c</span>(<span class="dv">1</span>, <span class="dv">51</span>, <span class="dv">101</span>, <span class="dv">2</span>, <span class="dv">52</span>, <span class="dv">102</span>), ]</span>
|
||
<span id="cb6-5"><a href="#cb6-5" tabindex="-1"></a>dend <span class="ot"><-</span> <span class="fu">as.dendrogram</span>(<span class="fu">hclust</span>(<span class="fu">dist</span>(small_iris[,<span class="sc">-</span><span class="dv">5</span>])))</span>
|
||
<span id="cb6-6"><a href="#cb6-6" tabindex="-1"></a><span class="co"># Like: </span></span>
|
||
<span id="cb6-7"><a href="#cb6-7" tabindex="-1"></a><span class="co"># dend <- small_iris[,-5] %>% dist %>% hclust %>% as.dendrogram</span></span>
|
||
<span id="cb6-8"><a href="#cb6-8" tabindex="-1"></a></span>
|
||
<span id="cb6-9"><a href="#cb6-9" tabindex="-1"></a><span class="co"># By default, the dend has no colors to the labels</span></span>
|
||
<span id="cb6-10"><a href="#cb6-10" tabindex="-1"></a><span class="fu">labels_colors</span>(dend)</span></code></pre></div>
|
||
<pre><code>## NULL</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><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="cb8-2"><a href="#cb8-2" tabindex="-1"></a><span class="fu">plot</span>(dend, <span class="at">main =</span> <span class="st">"Original dend"</span>)</span>
|
||
<span id="cb8-3"><a href="#cb8-3" tabindex="-1"></a></span>
|
||
<span id="cb8-4"><a href="#cb8-4" tabindex="-1"></a><span class="co"># Let's add some color:</span></span>
|
||
<span id="cb8-5"><a href="#cb8-5" tabindex="-1"></a>colors_to_use <span class="ot"><-</span> <span class="fu">as.numeric</span>(small_iris[,<span class="dv">5</span>])</span>
|
||
<span id="cb8-6"><a href="#cb8-6" tabindex="-1"></a>colors_to_use</span></code></pre></div>
|
||
<pre><code>## [1] 1 2 3 1 2 3</code></pre>
|
||
<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="co"># But sort them based on their order in dend:</span></span>
|
||
<span id="cb10-2"><a href="#cb10-2" tabindex="-1"></a>colors_to_use <span class="ot"><-</span> colors_to_use[<span class="fu">order.dendrogram</span>(dend)]</span>
|
||
<span id="cb10-3"><a href="#cb10-3" tabindex="-1"></a>colors_to_use</span></code></pre></div>
|
||
<pre><code>## [1] 1 1 2 2 3 3</code></pre>
|
||
<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="co"># Now we can use them</span></span>
|
||
<span id="cb12-2"><a href="#cb12-2" tabindex="-1"></a><span class="fu">labels_colors</span>(dend) <span class="ot"><-</span> colors_to_use</span>
|
||
<span id="cb12-3"><a href="#cb12-3" tabindex="-1"></a><span class="co"># Now each state has a color</span></span>
|
||
<span id="cb12-4"><a href="#cb12-4" tabindex="-1"></a><span class="fu">labels_colors</span>(dend) </span></code></pre></div>
|
||
<pre><code>## 1 2 51 52 101 102
|
||
## 1 1 2 2 3 3</code></pre>
|
||
<div class="sourceCode" id="cb14"><pre class="sourceCode r"><code class="sourceCode r"><span id="cb14-1"><a href="#cb14-1" tabindex="-1"></a><span class="fu">plot</span>(dend, <span class="at">main =</span> <span class="st">"A color for every Species"</span>)</span></code></pre></div>
|
||
<p><img role="img" 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" /><!-- --></p>
|
||
</div>
|
||
<div id="how-to-color-a-dendrograms-labels-according-to-defined-groups-in-r" class="section level3">
|
||
<h3>How to color a dendrogram’s labels according to defined groups? (in
|
||
R)</h3>
|
||
<p>Asked (<a href="https://stackoverflow.com/questions/31117849/how-to-color-a-dendrograms-labels-according-to-defined-groups-in-r" class="uri">https://stackoverflow.com/questions/31117849/how-to-color-a-dendrograms-labels-according-to-defined-groups-in-r</a>)[here].</p>
|
||
<p>Solution: use the <code>color_labels</code> function.</p>
|
||
<p>I suspect the function you are looking for is either
|
||
<code>color_labels</code> or <code>get_leaves_branches_col</code>. The
|
||
first color your labels based on <code>cutree</code> (like
|
||
<code>color_branches</code> do) and the second allows you to get the
|
||
colors of the branch of each leaf, and then use it to color the labels
|
||
of the tree (if you use unusual methods for coloring the branches (as
|
||
happens when using <code>branches_attr_by_labels</code>). For
|
||
example:</p>
|
||
<div class="sourceCode" id="cb15"><pre class="sourceCode r"><code class="sourceCode r"><span id="cb15-1"><a href="#cb15-1" tabindex="-1"></a> <span class="co"># define dendrogram object to play with:</span></span>
|
||
<span id="cb15-2"><a href="#cb15-2" tabindex="-1"></a> hc <span class="ot"><-</span> <span class="fu">hclust</span>(<span class="fu">dist</span>(USArrests[<span class="dv">1</span><span class="sc">:</span><span class="dv">5</span>,]), <span class="st">"ave"</span>)</span>
|
||
<span id="cb15-3"><a href="#cb15-3" tabindex="-1"></a> dend <span class="ot"><-</span> <span class="fu">as.dendrogram</span>(hc)</span>
|
||
<span id="cb15-4"><a href="#cb15-4" tabindex="-1"></a></span>
|
||
<span id="cb15-5"><a href="#cb15-5" tabindex="-1"></a> <span class="fu">library</span>(dendextend)</span>
|
||
<span id="cb15-6"><a href="#cb15-6" 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 class="at">mar =</span> <span class="fu">c</span>(<span class="dv">5</span>,<span class="dv">2</span>,<span class="dv">1</span>,<span class="dv">0</span>))</span>
|
||
<span id="cb15-7"><a href="#cb15-7" tabindex="-1"></a> dend <span class="ot"><-</span> dend <span class="sc">%>%</span></span>
|
||
<span id="cb15-8"><a href="#cb15-8" tabindex="-1"></a> <span class="fu">color_branches</span>(<span class="at">k =</span> <span class="dv">3</span>) <span class="sc">%>%</span></span>
|
||
<span id="cb15-9"><a href="#cb15-9" tabindex="-1"></a> <span class="fu">set</span>(<span class="st">"branches_lwd"</span>, <span class="fu">c</span>(<span class="dv">2</span>,<span class="dv">1</span>,<span class="dv">2</span>)) <span class="sc">%>%</span></span>
|
||
<span id="cb15-10"><a href="#cb15-10" tabindex="-1"></a> <span class="fu">set</span>(<span class="st">"branches_lty"</span>, <span class="fu">c</span>(<span class="dv">1</span>,<span class="dv">2</span>,<span class="dv">1</span>))</span>
|
||
<span id="cb15-11"><a href="#cb15-11" tabindex="-1"></a> </span>
|
||
<span id="cb15-12"><a href="#cb15-12" tabindex="-1"></a> <span class="fu">plot</span>(dend)</span>
|
||
<span id="cb15-13"><a href="#cb15-13" tabindex="-1"></a></span>
|
||
<span id="cb15-14"><a href="#cb15-14" tabindex="-1"></a> dend <span class="ot"><-</span> <span class="fu">color_labels</span>(dend, <span class="at">k =</span> <span class="dv">3</span>)</span>
|
||
<span id="cb15-15"><a href="#cb15-15" tabindex="-1"></a> <span class="co"># The same as:</span></span>
|
||
<span id="cb15-16"><a href="#cb15-16" tabindex="-1"></a> <span class="co"># labels_colors(dend) <- get_leaves_branches_col(dend)</span></span>
|
||
<span id="cb15-17"><a href="#cb15-17" tabindex="-1"></a> <span class="fu">plot</span>(dend)</span></code></pre></div>
|
||
<p><img role="img" 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" /><!-- --></p>
|
||
<p>Either way, you should always have a look at the <code>set</code>
|
||
function, for ideas on what can be done to your dendrogram (this saves
|
||
the hassle of remembering all the different functions names).</p>
|
||
</div>
|
||
<div id="how-to-color-a-dendrograms-brancheslabels-based-on-cluster-i.e.-cutree-result" class="section level3">
|
||
<h3>How to color a dendrogram’s branches/labels based on cluster (i.e.:
|
||
cutree result)</h3>
|
||
<p>Use the <code>color_branches</code> and <code>color_labels</code>
|
||
functions, with the <code>k</code> (or<code>h</code>) parameter:</p>
|
||
<div class="sourceCode" id="cb16"><pre class="sourceCode r"><code class="sourceCode r"><span id="cb16-1"><a href="#cb16-1" tabindex="-1"></a><span class="co"># install.packages("dendextend")</span></span>
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<span id="cb16-2"><a href="#cb16-2" tabindex="-1"></a><span class="fu">library</span>(dendextend)</span>
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<span id="cb16-3"><a href="#cb16-3" tabindex="-1"></a></span>
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<span id="cb16-4"><a href="#cb16-4" tabindex="-1"></a>dend <span class="ot"><-</span> <span class="fu">as.dendrogram</span>(<span class="fu">hclust</span>(<span class="fu">dist</span>(USArrests[<span class="dv">1</span><span class="sc">:</span><span class="dv">5</span>,])))</span>
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<span id="cb16-5"><a href="#cb16-5" tabindex="-1"></a><span class="co"># Like: </span></span>
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<span id="cb16-6"><a href="#cb16-6" tabindex="-1"></a><span class="co"># dend <- USArrests[1:5,] %>% dist %>% hclust %>% as.dendrogram</span></span>
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<span id="cb16-7"><a href="#cb16-7" tabindex="-1"></a></span>
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<span id="cb16-8"><a href="#cb16-8" tabindex="-1"></a>dend1 <span class="ot"><-</span> <span class="fu">color_branches</span>(dend, <span class="at">k =</span> <span class="dv">3</span>)</span>
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||
<span id="cb16-9"><a href="#cb16-9" tabindex="-1"></a>dend2 <span class="ot"><-</span> <span class="fu">color_labels</span>(dend, <span class="at">k =</span> <span class="dv">3</span>)</span>
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||
<span id="cb16-10"><a href="#cb16-10" tabindex="-1"></a></span>
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||
<span id="cb16-11"><a href="#cb16-11" 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="cb16-12"><a href="#cb16-12" tabindex="-1"></a><span class="fu">plot</span>(dend1, <span class="at">main =</span> <span class="st">"Colored branches"</span>)</span>
|
||
<span id="cb16-13"><a href="#cb16-13" tabindex="-1"></a><span class="fu">plot</span>(dend2, <span class="at">main =</span> <span class="st">"Colored labels"</span>)</span></code></pre></div>
|
||
<p><img role="img" 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" /><!-- --></p>
|
||
</div>
|
||
<div id="change-dendrograms-labels" class="section level3">
|
||
<h3>Change dendrogram’s labels</h3>
|
||
<p>Use the left assign <code>labels<-</code> function:</p>
|
||
<div class="sourceCode" id="cb17"><pre class="sourceCode r"><code class="sourceCode r"><span id="cb17-1"><a href="#cb17-1" tabindex="-1"></a><span class="co"># install.packages("dendextend")</span></span>
|
||
<span id="cb17-2"><a href="#cb17-2" tabindex="-1"></a><span class="fu">library</span>(dendextend)</span>
|
||
<span id="cb17-3"><a href="#cb17-3" tabindex="-1"></a></span>
|
||
<span id="cb17-4"><a href="#cb17-4" tabindex="-1"></a>dend <span class="ot"><-</span> <span class="fu">as.dendrogram</span>(<span class="fu">hclust</span>(<span class="fu">dist</span>(USArrests[<span class="dv">1</span><span class="sc">:</span><span class="dv">5</span>,])))</span>
|
||
<span id="cb17-5"><a href="#cb17-5" tabindex="-1"></a><span class="co"># Like: </span></span>
|
||
<span id="cb17-6"><a href="#cb17-6" tabindex="-1"></a><span class="co"># dend <- USArrests[1:5,] %>% dist %>% hclust %>% as.dendrogram</span></span>
|
||
<span id="cb17-7"><a href="#cb17-7" tabindex="-1"></a></span>
|
||
<span id="cb17-8"><a href="#cb17-8" tabindex="-1"></a><span class="fu">labels</span>(dend)</span></code></pre></div>
|
||
<pre><code>## [1] "Arkansas" "Arizona" "California" "Alabama" "Alaska"</code></pre>
|
||
<div class="sourceCode" id="cb19"><pre class="sourceCode r"><code class="sourceCode r"><span id="cb19-1"><a href="#cb19-1" tabindex="-1"></a><span class="fu">labels</span>(dend) <span class="ot"><-</span> <span class="dv">1</span><span class="sc">:</span><span class="dv">5</span></span>
|
||
<span id="cb19-2"><a href="#cb19-2" tabindex="-1"></a><span class="fu">labels</span>(dend)</span></code></pre></div>
|
||
<pre><code>## [1] 1 2 3 4 5</code></pre>
|
||
</div>
|
||
<div id="larger-font-for-leaves-in-a-dendrogram" class="section level3">
|
||
<h3>Larger font for leaves in a dendrogram</h3>
|
||
<p>Asked (<a href="https://stackoverflow.com/questions/26965390/larger-font-and-spacing-between-leaves-in-r-dendrogram" class="uri">https://stackoverflow.com/questions/26965390/larger-font-and-spacing-between-leaves-in-r-dendrogram</a>)[here].</p>
|
||
<p>Solution: use the <code>set</code> function, with the “labels_cex”
|
||
parameter.</p>
|
||
<div class="sourceCode" id="cb21"><pre class="sourceCode r"><code class="sourceCode r"><span id="cb21-1"><a href="#cb21-1" tabindex="-1"></a><span class="co"># install.packages("dendextend")</span></span>
|
||
<span id="cb21-2"><a href="#cb21-2" tabindex="-1"></a><span class="fu">library</span>(dendextend)</span>
|
||
<span id="cb21-3"><a href="#cb21-3" tabindex="-1"></a></span>
|
||
<span id="cb21-4"><a href="#cb21-4" tabindex="-1"></a>dend <span class="ot"><-</span> <span class="fu">as.dendrogram</span>(<span class="fu">hclust</span>(<span class="fu">dist</span>(USArrests[<span class="dv">1</span><span class="sc">:</span><span class="dv">5</span>,])))</span>
|
||
<span id="cb21-5"><a href="#cb21-5" tabindex="-1"></a><span class="co"># Like: </span></span>
|
||
<span id="cb21-6"><a href="#cb21-6" tabindex="-1"></a><span class="co"># dend <- USArrests[1:5,] %>% dist %>% hclust %>% as.dendrogram</span></span>
|
||
<span id="cb21-7"><a href="#cb21-7" tabindex="-1"></a></span>
|
||
<span id="cb21-8"><a href="#cb21-8" tabindex="-1"></a><span class="co"># By default, the dend has no text size to it (showing only the first leaf)</span></span>
|
||
<span id="cb21-9"><a href="#cb21-9" tabindex="-1"></a><span class="fu">get_leaves_nodePar</span>(dend)[[<span class="dv">1</span>]]</span></code></pre></div>
|
||
<pre><code>## [1] NA</code></pre>
|
||
<div class="sourceCode" id="cb23"><pre class="sourceCode r"><code class="sourceCode r"><span id="cb23-1"><a href="#cb23-1" 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 class="at">mar =</span> <span class="fu">c</span>(<span class="dv">10</span>,<span class="dv">4</span>,<span class="dv">4</span>,<span class="dv">2</span>))</span>
|
||
<span id="cb23-2"><a href="#cb23-2" tabindex="-1"></a><span class="fu">plot</span>(dend, <span class="at">main =</span> <span class="st">"Original dend"</span>)</span>
|
||
<span id="cb23-3"><a href="#cb23-3" tabindex="-1"></a></span>
|
||
<span id="cb23-4"><a href="#cb23-4" tabindex="-1"></a><span class="co"># let's increase the size of the labels:</span></span>
|
||
<span id="cb23-5"><a href="#cb23-5" tabindex="-1"></a>dend <span class="ot"><-</span> <span class="fu">set</span>(dend, <span class="st">"labels_cex"</span>, <span class="dv">2</span>)</span>
|
||
<span id="cb23-6"><a href="#cb23-6" tabindex="-1"></a><span class="co"># Now each state has a larger label</span></span>
|
||
<span id="cb23-7"><a href="#cb23-7" tabindex="-1"></a><span class="fu">get_leaves_nodePar</span>(dend)[[<span class="dv">1</span>]]</span></code></pre></div>
|
||
<pre><code>## $lab.cex
|
||
## [1] 2
|
||
##
|
||
## $pch
|
||
## [1] NA</code></pre>
|
||
<div class="sourceCode" id="cb25"><pre class="sourceCode r"><code class="sourceCode r"><span id="cb25-1"><a href="#cb25-1" tabindex="-1"></a><span class="fu">plot</span>(dend, <span class="at">main =</span> <span class="st">"A larger font for labels"</span>)</span></code></pre></div>
|
||
<p><img role="img" 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" /><!-- --></p>
|
||
<p>(Note that changing the spacing between the labels is currently not
|
||
implemented)</p>
|
||
</div>
|
||
<div id="how-to-view-attributes-of-a-dendrogram" class="section level3">
|
||
<h3>How to view attributes of a dendrogram</h3>
|
||
<p>Asked (<a href="https://stackoverflow.com/questions/26240200/how-to-access-attributes-of-a-dendrogram-in-r" class="uri">https://stackoverflow.com/questions/26240200/how-to-access-attributes-of-a-dendrogram-in-r</a>)[here],
|
||
and (<a href="https://stackoverflow.com/questions/25664911/r-hclust-height-of-final-merge" class="uri">https://stackoverflow.com/questions/25664911/r-hclust-height-of-final-merge</a>)[here].</p>
|
||
<p>It generally depends on which attribute we want to view. For
|
||
“midpoint” (or height) use the <code>get_nodes_attr</code> function,
|
||
with the “midpoint” parameter.</p>
|
||
<div class="sourceCode" id="cb26"><pre class="sourceCode r"><code class="sourceCode r"><span id="cb26-1"><a href="#cb26-1" tabindex="-1"></a><span class="co"># install.packages("dendextend")</span></span>
|
||
<span id="cb26-2"><a href="#cb26-2" tabindex="-1"></a><span class="fu">library</span>(dendextend)</span>
|
||
<span id="cb26-3"><a href="#cb26-3" tabindex="-1"></a></span>
|
||
<span id="cb26-4"><a href="#cb26-4" tabindex="-1"></a>dend <span class="ot"><-</span> <span class="fu">as.dendrogram</span>(<span class="fu">hclust</span>(<span class="fu">dist</span>(USArrests[<span class="dv">1</span><span class="sc">:</span><span class="dv">5</span>,])))</span>
|
||
<span id="cb26-5"><a href="#cb26-5" tabindex="-1"></a><span class="co"># Like: </span></span>
|
||
<span id="cb26-6"><a href="#cb26-6" tabindex="-1"></a><span class="co"># dend <- USArrests[1:5,] %>% dist %>% hclust %>% as.dendrogram</span></span>
|
||
<span id="cb26-7"><a href="#cb26-7" tabindex="-1"></a></span>
|
||
<span id="cb26-8"><a href="#cb26-8" tabindex="-1"></a><span class="co"># midpoint for all nodes</span></span>
|
||
<span id="cb26-9"><a href="#cb26-9" tabindex="-1"></a><span class="fu">get_nodes_attr</span>(dend, <span class="st">"midpoint"</span>)</span></code></pre></div>
|
||
<pre><code>## [1] 1.25 NA 1.50 0.50 NA NA 0.50 NA NA</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><span class="co"># Perhaps also for the height:</span></span>
|
||
<span id="cb28-2"><a href="#cb28-2" tabindex="-1"></a><span class="fu">get_nodes_attr</span>(dend, <span class="st">"height"</span>)</span></code></pre></div>
|
||
<pre><code>## [1] 108.85192 0.00000 63.00833 23.19418 0.00000 0.00000 37.17701
|
||
## [8] 0.00000 0.00000</code></pre>
|
||
<p>To also change an attribute, you can use the various assign functions
|
||
from the package: <code>assign_values_to_leaves_nodePar</code>,
|
||
<code>assign_values_to_leaves_edgePar</code>,
|
||
<code>assign_values_to_nodes_nodePar</code>,
|
||
<code>assign_values_to_branches_edgePar</code>,
|
||
<code>remove_branches_edgePar</code>,
|
||
<code>remove_nodes_nodePar</code></p>
|
||
</div>
|
||
<div id="how-to-color-the-branches-in-heatmap.2" class="section level3">
|
||
<h3>How to color the branches in heatmap.2?</h3>
|
||
<p>Asked (<a href="https://stackoverflow.com/questions/29265536/how-to-color-the-branches-and-tick-labels-in-the-heatmap-2" class="uri">https://stackoverflow.com/questions/29265536/how-to-color-the-branches-and-tick-labels-in-the-heatmap-2</a>?)[here].</p>
|
||
<p>Solution: use the <code>color_branches</code> function (or the
|
||
<code>set</code> function, with the “branches_k_color”, “k”, and “value”
|
||
parameters).</p>
|
||
<p>(Getting the data for this example is from the (<a href="https://stackoverflow.com/questions/29265536/how-to-color-the-branches-and-tick-labels-in-the-heatmap-2" class="uri">https://stackoverflow.com/questions/29265536/how-to-color-the-branches-and-tick-labels-in-the-heatmap-2</a>)[original
|
||
SO question])</p>
|
||
<div class="sourceCode" id="cb30"><pre class="sourceCode r"><code class="sourceCode r"><span id="cb30-1"><a href="#cb30-1" tabindex="-1"></a>test <span class="ot"><-</span> test0</span>
|
||
<span id="cb30-2"><a href="#cb30-2" tabindex="-1"></a>rnames <span class="ot"><-</span> test[,<span class="dv">1</span>] </span>
|
||
<span id="cb30-3"><a href="#cb30-3" tabindex="-1"></a>test <span class="ot"><-</span> <span class="fu">data.matrix</span>(test[,<span class="dv">2</span><span class="sc">:</span><span class="fu">ncol</span>(test)]) <span class="co"># to matrix</span></span>
|
||
<span id="cb30-4"><a href="#cb30-4" tabindex="-1"></a><span class="fu">rownames</span>(test) <span class="ot"><-</span> rnames </span>
|
||
<span id="cb30-5"><a href="#cb30-5" tabindex="-1"></a>test <span class="ot"><-</span> <span class="fu">scale</span>(test, <span class="at">center=</span>T, <span class="at">scale=</span>T) <span class="co"># data standarization</span></span>
|
||
<span id="cb30-6"><a href="#cb30-6" tabindex="-1"></a>test <span class="ot"><-</span> <span class="fu">t</span>(test) <span class="co"># transpose</span></span>
|
||
<span id="cb30-7"><a href="#cb30-7" tabindex="-1"></a></span>
|
||
<span id="cb30-8"><a href="#cb30-8" tabindex="-1"></a></span>
|
||
<span id="cb30-9"><a href="#cb30-9" tabindex="-1"></a><span class="do">## Creating a color palette & color breaks</span></span>
|
||
<span id="cb30-10"><a href="#cb30-10" tabindex="-1"></a></span>
|
||
<span id="cb30-11"><a href="#cb30-11" tabindex="-1"></a>my_palette <span class="ot"><-</span> <span class="fu">colorRampPalette</span>(<span class="fu">c</span>(<span class="st">"forestgreen"</span>, <span class="st">"yellow"</span>, <span class="st">"red"</span>))(<span class="at">n =</span> <span class="dv">299</span>)</span>
|
||
<span id="cb30-12"><a href="#cb30-12" tabindex="-1"></a></span>
|
||
<span id="cb30-13"><a href="#cb30-13" tabindex="-1"></a>col_breaks <span class="ot">=</span> <span class="fu">c</span>(<span class="fu">seq</span>(<span class="sc">-</span><span class="dv">1</span>,<span class="sc">-</span><span class="fl">0.5</span>,<span class="at">length=</span><span class="dv">100</span>), <span class="co"># forestgreen</span></span>
|
||
<span id="cb30-14"><a href="#cb30-14" tabindex="-1"></a> <span class="fu">seq</span>(<span class="sc">-</span><span class="fl">0.5</span>,<span class="fl">0.5</span>,<span class="at">length=</span><span class="dv">100</span>), <span class="co"># yellow</span></span>
|
||
<span id="cb30-15"><a href="#cb30-15" tabindex="-1"></a> <span class="fu">seq</span>(<span class="fl">0.5</span>,<span class="dv">1</span>,<span class="at">length=</span><span class="dv">100</span>)) <span class="co"># red</span></span>
|
||
<span id="cb30-16"><a href="#cb30-16" tabindex="-1"></a></span>
|
||
<span id="cb30-17"><a href="#cb30-17" tabindex="-1"></a><span class="co"># distance & hierarchical clustering</span></span>
|
||
<span id="cb30-18"><a href="#cb30-18" tabindex="-1"></a>distance <span class="ot">=</span> <span class="fu">dist</span>(test, <span class="at">method =</span><span class="st">"euclidean"</span>) </span>
|
||
<span id="cb30-19"><a href="#cb30-19" tabindex="-1"></a>hcluster <span class="ot">=</span> <span class="fu">hclust</span>(distance, <span class="at">method =</span><span class="st">"ward.D"</span>)</span>
|
||
<span id="cb30-20"><a href="#cb30-20" tabindex="-1"></a></span>
|
||
<span id="cb30-21"><a href="#cb30-21" tabindex="-1"></a></span>
|
||
<span id="cb30-22"><a href="#cb30-22" tabindex="-1"></a>dend1 <span class="ot"><-</span> <span class="fu">as.dendrogram</span>(hcluster)</span>
|
||
<span id="cb30-23"><a href="#cb30-23" tabindex="-1"></a></span>
|
||
<span id="cb30-24"><a href="#cb30-24" tabindex="-1"></a><span class="co"># Get the dendextend package</span></span>
|
||
<span id="cb30-25"><a href="#cb30-25" tabindex="-1"></a><span class="cf">if</span>(<span class="sc">!</span><span class="fu">require</span>(dendextend)) <span class="fu">install.packages</span>(<span class="st">"dendextend"</span>)</span>
|
||
<span id="cb30-26"><a href="#cb30-26" tabindex="-1"></a><span class="fu">library</span>(dendextend)</span>
|
||
<span id="cb30-27"><a href="#cb30-27" tabindex="-1"></a><span class="co"># get some colors</span></span>
|
||
<span id="cb30-28"><a href="#cb30-28" tabindex="-1"></a>cols_branches <span class="ot"><-</span> <span class="fu">c</span>(<span class="st">"darkred"</span>, <span class="st">"forestgreen"</span>, <span class="st">"orange"</span>, <span class="st">"blue"</span>)</span>
|
||
<span id="cb30-29"><a href="#cb30-29" tabindex="-1"></a><span class="co"># Set the colors of 4 branches</span></span>
|
||
<span id="cb30-30"><a href="#cb30-30" tabindex="-1"></a>dend1 <span class="ot"><-</span> <span class="fu">color_branches</span>(dend1, <span class="at">k =</span> <span class="dv">4</span>, <span class="at">col =</span> cols_branches)</span>
|
||
<span id="cb30-31"><a href="#cb30-31" tabindex="-1"></a><span class="co"># or with:</span></span>
|
||
<span id="cb30-32"><a href="#cb30-32" tabindex="-1"></a><span class="co"># dend1 <- set(dend1, "branches_k_color", k = 4, value = cols_branches)</span></span>
|
||
<span id="cb30-33"><a href="#cb30-33" tabindex="-1"></a></span>
|
||
<span id="cb30-34"><a href="#cb30-34" tabindex="-1"></a><span class="co"># Get the colors of the tips of the dendrogram:</span></span>
|
||
<span id="cb30-35"><a href="#cb30-35" tabindex="-1"></a><span class="co"># col_labels <- cols_branches[cutree(dend1, k = 4)] # this may need tweaking in various cases - the following is a more general solution.</span></span>
|
||
<span id="cb30-36"><a href="#cb30-36" tabindex="-1"></a></span>
|
||
<span id="cb30-37"><a href="#cb30-37" tabindex="-1"></a>col_labels <span class="ot"><-</span> <span class="fu">get_leaves_branches_col</span>(dend1)</span>
|
||
<span id="cb30-38"><a href="#cb30-38" tabindex="-1"></a><span class="co"># But due to the way heatmap.2 works - we need to fix it to be in the </span></span>
|
||
<span id="cb30-39"><a href="#cb30-39" tabindex="-1"></a><span class="co"># order of the data! </span></span>
|
||
<span id="cb30-40"><a href="#cb30-40" tabindex="-1"></a>col_labels <span class="ot"><-</span> col_labels[<span class="fu">order</span>(<span class="fu">order.dendrogram</span>(dend1))]</span>
|
||
<span id="cb30-41"><a href="#cb30-41" tabindex="-1"></a></span>
|
||
<span id="cb30-42"><a href="#cb30-42" tabindex="-1"></a>dend1</span>
|
||
<span id="cb30-43"><a href="#cb30-43" tabindex="-1"></a><span class="co"># plot(dend1)</span></span>
|
||
<span id="cb30-44"><a href="#cb30-44" tabindex="-1"></a><span class="co"># a <- heights_per_k.dendrogram(dend1)</span></span>
|
||
<span id="cb30-45"><a href="#cb30-45" tabindex="-1"></a><span class="co"># a2 <- heights_per_k.dendrogram(dend1)</span></span>
|
||
<span id="cb30-46"><a href="#cb30-46" tabindex="-1"></a><span class="co"># nleaves(dend1)</span></span>
|
||
<span id="cb30-47"><a href="#cb30-47" tabindex="-1"></a></span>
|
||
<span id="cb30-48"><a href="#cb30-48" tabindex="-1"></a></span>
|
||
<span id="cb30-49"><a href="#cb30-49" tabindex="-1"></a><span class="co"># Creating Heat Map</span></span>
|
||
<span id="cb30-50"><a href="#cb30-50" tabindex="-1"></a><span class="co"># if(!require(gplots)) install.packages("gplots")</span></span>
|
||
<span id="cb30-51"><a href="#cb30-51" tabindex="-1"></a><span class="fu">library</span>(gplots)</span>
|
||
<span id="cb30-52"><a href="#cb30-52" tabindex="-1"></a><span class="fu">heatmap.2</span>(test, </span>
|
||
<span id="cb30-53"><a href="#cb30-53" tabindex="-1"></a> <span class="at">main =</span> <span class="fu">paste</span>( <span class="st">"test"</span>), </span>
|
||
<span id="cb30-54"><a href="#cb30-54" tabindex="-1"></a> <span class="at">trace=</span><span class="st">"none"</span>, </span>
|
||
<span id="cb30-55"><a href="#cb30-55" tabindex="-1"></a> <span class="at">margins =</span><span class="fu">c</span>(<span class="dv">5</span>,<span class="dv">7</span>), </span>
|
||
<span id="cb30-56"><a href="#cb30-56" tabindex="-1"></a> <span class="at">col=</span>my_palette, </span>
|
||
<span id="cb30-57"><a href="#cb30-57" tabindex="-1"></a> <span class="at">breaks=</span>col_breaks, </span>
|
||
<span id="cb30-58"><a href="#cb30-58" tabindex="-1"></a> <span class="at">dendrogram=</span><span class="st">"row"</span>, </span>
|
||
<span id="cb30-59"><a href="#cb30-59" tabindex="-1"></a> <span class="at">Rowv =</span> dend1, </span>
|
||
<span id="cb30-60"><a href="#cb30-60" tabindex="-1"></a> <span class="at">Colv =</span> <span class="st">"NA"</span>, </span>
|
||
<span id="cb30-61"><a href="#cb30-61" tabindex="-1"></a> <span class="at">key.xlab =</span> <span class="st">"Concentration (index)"</span>,</span>
|
||
<span id="cb30-62"><a href="#cb30-62" tabindex="-1"></a> <span class="at">cexRow =</span><span class="fl">0.6</span>,</span>
|
||
<span id="cb30-63"><a href="#cb30-63" tabindex="-1"></a> <span class="at">cexCol =</span> <span class="fl">0.8</span>,</span>
|
||
<span id="cb30-64"><a href="#cb30-64" tabindex="-1"></a> <span class="at">na.rm =</span> <span class="cn">TRUE</span>,</span>
|
||
<span id="cb30-65"><a href="#cb30-65" tabindex="-1"></a> <span class="at">RowSideColors =</span> col_labels <span class="co"># to add nice colored strips </span></span>
|
||
<span id="cb30-66"><a href="#cb30-66" tabindex="-1"></a> <span class="co"># colRow = col_labels # to add nice colored labels - only for qplots 2.17.0 and higher</span></span>
|
||
<span id="cb30-67"><a href="#cb30-67" tabindex="-1"></a> ) </span></code></pre></div>
|
||
</div>
|
||
<div id="for-package-developers---how-to-call-imported-calls-from-dendextend-0.18.3" class="section level3">
|
||
<h3>For package developers - how to call imported calls from dendextend
|
||
0.18.3?</h3>
|
||
<p>If you are developing a package and you wish to use dendextend as an
|
||
imported package, that is - without loading it to the search path, you
|
||
should run:</p>
|
||
<div class="sourceCode" id="cb31"><pre class="sourceCode r"><code class="sourceCode r"><span id="cb31-1"><a href="#cb31-1" tabindex="-1"></a>dendextend<span class="sc">::</span><span class="fu">assign_dendextend_options</span>()</span>
|
||
<span id="cb31-2"><a href="#cb31-2" tabindex="-1"></a><span class="co"># This populates the dendextend::dendextend_options() space</span></span></code></pre></div>
|
||
<p>Before using any of its function (for example:
|
||
<code>dendextend::color_branches</code> ). As of dendextend version
|
||
1.0.0, this is no longer required.</p>
|
||
</div>
|
||
<div id="how-to-plot-a-fan-polar-dendrogram-in-r" class="section level3">
|
||
<h3>How to plot a fan (Polar) Dendrogram in R?</h3>
|
||
<p>Asked (<a href="https://stats.stackexchange.com/questions/4062/how-to-plot-a-fan-polar-dendrogram-in-r" class="uri">https://stats.stackexchange.com/questions/4062/how-to-plot-a-fan-polar-dendrogram-in-r</a>)[here].</p>
|
||
<p>Solution: use the <code>circlize_dendrogram</code> function.</p>
|
||
<div class="sourceCode" id="cb32"><pre class="sourceCode r"><code class="sourceCode r"><span id="cb32-1"><a href="#cb32-1" tabindex="-1"></a><span class="co"># install.packages("dendextend")</span></span>
|
||
<span id="cb32-2"><a href="#cb32-2" tabindex="-1"></a><span class="co"># install.packages("circlize")</span></span>
|
||
<span id="cb32-3"><a href="#cb32-3" tabindex="-1"></a><span class="fu">library</span>(dendextend)</span>
|
||
<span id="cb32-4"><a href="#cb32-4" tabindex="-1"></a><span class="fu">library</span>(circlize)</span>
|
||
<span id="cb32-5"><a href="#cb32-5" tabindex="-1"></a></span>
|
||
<span id="cb32-6"><a href="#cb32-6" tabindex="-1"></a><span class="co"># create a dendrogram</span></span>
|
||
<span id="cb32-7"><a href="#cb32-7" tabindex="-1"></a>hc <span class="ot"><-</span> <span class="fu">hclust</span>(<span class="fu">dist</span>(datasets<span class="sc">::</span>mtcars))</span>
|
||
<span id="cb32-8"><a href="#cb32-8" tabindex="-1"></a>dend <span class="ot"><-</span> <span class="fu">as.dendrogram</span>(hc)</span>
|
||
<span id="cb32-9"><a href="#cb32-9" tabindex="-1"></a></span>
|
||
<span id="cb32-10"><a href="#cb32-10" tabindex="-1"></a><span class="co"># modify the dendrogram to have some colors in the branches and labels</span></span>
|
||
<span id="cb32-11"><a href="#cb32-11" tabindex="-1"></a>dend <span class="ot"><-</span> dend <span class="sc">%>%</span> </span>
|
||
<span id="cb32-12"><a href="#cb32-12" tabindex="-1"></a> <span class="fu">color_branches</span>(<span class="at">k=</span><span class="dv">4</span>) <span class="sc">%>%</span> </span>
|
||
<span id="cb32-13"><a href="#cb32-13" tabindex="-1"></a> color_labels</span>
|
||
<span id="cb32-14"><a href="#cb32-14" tabindex="-1"></a></span>
|
||
<span id="cb32-15"><a href="#cb32-15" tabindex="-1"></a><span class="co"># plot the radial plot</span></span>
|
||
<span id="cb32-16"><a href="#cb32-16" 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="cb32-17"><a href="#cb32-17" tabindex="-1"></a><span class="co"># circlize_dendrogram(dend, dend_track_height = 0.8) </span></span>
|
||
<span id="cb32-18"><a href="#cb32-18" tabindex="-1"></a><span class="fu">circlize_dendrogram</span>(dend, <span class="at">labels_track_height =</span> <span class="cn">NA</span>, <span class="at">dend_track_height =</span> .<span class="dv">3</span>) </span></code></pre></div>
|
||
<p><img role="img" 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" /><!-- --></p>
|
||
</div>
|
||
<div id="a-way-to-calculate-lowest-value-of-h-in-cut-that-produces-groupings-of-a-given-minimum-size" class="section level3">
|
||
<h3>A way to calculate lowest value of h in cut that produces groupings
|
||
of a given minimum size?</h3>
|
||
<p>Asked (<a href="https://stackoverflow.com/questions/31124810/r-cut-dendrogram-into-groups-with-minimum-size/" class="uri">https://stackoverflow.com/questions/31124810/r-cut-dendrogram-into-groups-with-minimum-size/</a>)[here].</p>
|
||
<p>Solution: use the <code>heights_per_k.dendrogram</code> function.</p>
|
||
<p>This feature is available in the dendextend package with the
|
||
<code>heights_per_k.dendrogram</code> function (which also has a faster
|
||
C++ implementation when loading the dendextendRcpp function).</p>
|
||
<div class="sourceCode" id="cb33"><pre class="sourceCode r"><code class="sourceCode r"><span id="cb33-1"><a href="#cb33-1" tabindex="-1"></a>hc <span class="ot"><-</span> <span class="fu">hclust</span>(<span class="fu">dist</span>(USArrests[<span class="dv">1</span><span class="sc">:</span><span class="dv">4</span>,]), <span class="st">"ave"</span>)</span>
|
||
<span id="cb33-2"><a href="#cb33-2" tabindex="-1"></a>dend <span class="ot"><-</span> <span class="fu">as.dendrogram</span>(hc)</span>
|
||
<span id="cb33-3"><a href="#cb33-3" tabindex="-1"></a><span class="fu">heights_per_k.dendrogram</span>(dend)</span></code></pre></div>
|
||
<pre><code>## 1 2 3 4
|
||
## 86.47086 68.84745 45.98871 28.36531</code></pre>
|
||
<p>As a sidenote, the dendextend package has a
|
||
<code>cutree.dendrogram</code> S3 method for dendrograms (which works
|
||
very similarly to <code>cutree</code> for <code>hclust</code>
|
||
objects).</p>
|
||
</div>
|
||
<div id="coloring-dendrograms-end-branches-or-leaves-based-on-column-number-of-data-frame-in-r" class="section level3">
|
||
<h3>Coloring dendrogram’s end branches (or leaves) based on column
|
||
number of data frame in R</h3>
|
||
<p>Asked (<a href="https://stackoverflow.com/questions/30062187/coloring-dendrogram-s-end-branches-or-leaves-based-on-column-number-of-data-fr" class="uri">https://stackoverflow.com/questions/30062187/coloring-dendrogram-s-end-branches-or-leaves-based-on-column-number-of-data-fr</a>)[here].</p>
|
||
<p>Solution: use the <code>assign_values_to_leaves_edgePar</code>
|
||
function.</p>
|
||
<div class="sourceCode" id="cb35"><pre class="sourceCode r"><code class="sourceCode r"><span id="cb35-1"><a href="#cb35-1" tabindex="-1"></a>aa1 <span class="ot"><-</span> <span class="fu">c</span>(<span class="dv">2</span>,<span class="dv">4</span>,<span class="dv">6</span>,<span class="dv">8</span>)</span>
|
||
<span id="cb35-2"><a href="#cb35-2" tabindex="-1"></a>bb1 <span class="ot"><-</span> <span class="fu">c</span>(<span class="dv">1</span>,<span class="dv">3</span>,<span class="dv">7</span>,<span class="dv">11</span>)</span>
|
||
<span id="cb35-3"><a href="#cb35-3" tabindex="-1"></a>aa2 <span class="ot"><-</span> <span class="fu">c</span>(<span class="dv">3</span>,<span class="dv">6</span>,<span class="dv">9</span>,<span class="dv">12</span>)</span>
|
||
<span id="cb35-4"><a href="#cb35-4" tabindex="-1"></a>bb2 <span class="ot"><-</span> <span class="fu">c</span>(<span class="dv">3</span>,<span class="dv">5</span>,<span class="dv">7</span>,<span class="dv">9</span>)</span>
|
||
<span id="cb35-5"><a href="#cb35-5" tabindex="-1"></a>data.main <span class="ot"><-</span> <span class="fu">data.frame</span>(aa1,bb1,aa2,bb2)</span>
|
||
<span id="cb35-6"><a href="#cb35-6" tabindex="-1"></a>d1 <span class="ot"><-</span> <span class="fu">dist</span>(<span class="fu">t</span>(data.main))</span>
|
||
<span id="cb35-7"><a href="#cb35-7" tabindex="-1"></a>hcl1 <span class="ot"><-</span> <span class="fu">hclust</span>(d1)</span>
|
||
<span id="cb35-8"><a href="#cb35-8" tabindex="-1"></a><span class="co"># plot(hcl1)</span></span>
|
||
<span id="cb35-9"><a href="#cb35-9" tabindex="-1"></a></span>
|
||
<span id="cb35-10"><a href="#cb35-10" tabindex="-1"></a>dend <span class="ot"><-</span> <span class="fu">as.dendrogram</span>(hcl1)</span>
|
||
<span id="cb35-11"><a href="#cb35-11" tabindex="-1"></a>col_aa_red <span class="ot"><-</span> <span class="fu">ifelse</span>(<span class="fu">grepl</span>(<span class="st">"aa"</span>, <span class="fu">labels</span>(dend)), <span class="st">"red"</span>, <span class="st">"blue"</span>)</span>
|
||
<span id="cb35-12"><a href="#cb35-12" tabindex="-1"></a>dend2 <span class="ot"><-</span> <span class="fu">assign_values_to_leaves_edgePar</span>(<span class="at">dend=</span>dend, <span class="at">value =</span> col_aa_red, <span class="at">edgePar =</span> <span class="st">"col"</span>)</span>
|
||
<span id="cb35-13"><a href="#cb35-13" tabindex="-1"></a><span class="fu">plot</span>(dend2)</span></code></pre></div>
|
||
<p><img role="img" src="data:image/png;base64,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" /><!-- --></p>
|
||
</div>
|
||
<div id="color-side-bar-dendrogram-plot" class="section level3">
|
||
<h3>Color side bar dendrogram plot</h3>
|
||
<p>Asked (<a href="https://stackoverflow.com/questions/34539746/color-side-bar-dendrogram-plot/" class="uri">https://stackoverflow.com/questions/34539746/color-side-bar-dendrogram-plot/</a>)[here].</p>
|
||
<p>Solution: use the <code>color_branches</code> function.</p>
|
||
<p>Example using <code>mtcars</code>:</p>
|
||
<div class="sourceCode" id="cb36"><pre class="sourceCode r"><code class="sourceCode r"><span id="cb36-1"><a href="#cb36-1" tabindex="-1"></a><span class="do">## mtcars example</span></span>
|
||
<span id="cb36-2"><a href="#cb36-2" tabindex="-1"></a></span>
|
||
<span id="cb36-3"><a href="#cb36-3" tabindex="-1"></a><span class="co"># Create the dend:</span></span>
|
||
<span id="cb36-4"><a href="#cb36-4" tabindex="-1"></a>dend <span class="ot"><-</span> <span class="fu">as.dendrogram</span>(<span class="fu">hclust</span>(<span class="fu">dist</span>(mtcars)))</span>
|
||
<span id="cb36-5"><a href="#cb36-5" tabindex="-1"></a></span>
|
||
<span id="cb36-6"><a href="#cb36-6" tabindex="-1"></a><span class="co"># Create a vector giving a color for each car to which company it belongs to</span></span>
|
||
<span id="cb36-7"><a href="#cb36-7" tabindex="-1"></a>car_type <span class="ot"><-</span> <span class="fu">rep</span>(<span class="st">"Other"</span>, <span class="fu">length</span>(<span class="fu">rownames</span>(mtcars)))</span>
|
||
<span id="cb36-8"><a href="#cb36-8" tabindex="-1"></a>is_x <span class="ot"><-</span> <span class="fu">grepl</span>(<span class="st">"Merc"</span>, <span class="fu">rownames</span>(mtcars))</span>
|
||
<span id="cb36-9"><a href="#cb36-9" tabindex="-1"></a>car_type[is_x] <span class="ot"><-</span> <span class="st">"Mercedes"</span></span>
|
||
<span id="cb36-10"><a href="#cb36-10" tabindex="-1"></a>is_x <span class="ot"><-</span> <span class="fu">grepl</span>(<span class="st">"Mazda"</span>, <span class="fu">rownames</span>(mtcars))</span>
|
||
<span id="cb36-11"><a href="#cb36-11" tabindex="-1"></a>car_type[is_x] <span class="ot"><-</span> <span class="st">"Mazda"</span></span>
|
||
<span id="cb36-12"><a href="#cb36-12" tabindex="-1"></a>is_x <span class="ot"><-</span> <span class="fu">grepl</span>(<span class="st">"Toyota"</span>, <span class="fu">rownames</span>(mtcars))</span>
|
||
<span id="cb36-13"><a href="#cb36-13" tabindex="-1"></a>car_type[is_x] <span class="ot"><-</span> <span class="st">"Toyota"</span></span>
|
||
<span id="cb36-14"><a href="#cb36-14" tabindex="-1"></a>car_type <span class="ot"><-</span> <span class="fu">factor</span>(car_type)</span>
|
||
<span id="cb36-15"><a href="#cb36-15" tabindex="-1"></a>n_car_types <span class="ot"><-</span> <span class="fu">length</span>(<span class="fu">unique</span>(car_type))</span>
|
||
<span id="cb36-16"><a href="#cb36-16" tabindex="-1"></a>cols_4 <span class="ot"><-</span> colorspace<span class="sc">::</span><span class="fu">rainbow_hcl</span>(n_car_types, <span class="at">c =</span> <span class="dv">70</span>, <span class="at">l =</span> <span class="dv">50</span>)</span>
|
||
<span id="cb36-17"><a href="#cb36-17" tabindex="-1"></a>col_car_type <span class="ot"><-</span> cols_4[car_type]</span>
|
||
<span id="cb36-18"><a href="#cb36-18" tabindex="-1"></a></span>
|
||
<span id="cb36-19"><a href="#cb36-19" tabindex="-1"></a><span class="co"># extra: showing the various clusters cuts </span></span>
|
||
<span id="cb36-20"><a href="#cb36-20" tabindex="-1"></a>k234 <span class="ot"><-</span> <span class="fu">cutree</span>(dend, <span class="at">k =</span> <span class="dv">2</span><span class="sc">:</span><span class="dv">4</span>)</span>
|
||
<span id="cb36-21"><a href="#cb36-21" tabindex="-1"></a></span>
|
||
<span id="cb36-22"><a href="#cb36-22" tabindex="-1"></a><span class="co"># color labels by car company:</span></span>
|
||
<span id="cb36-23"><a href="#cb36-23" tabindex="-1"></a><span class="fu">labels_colors</span>(dend) <span class="ot"><-</span> col_car_type[<span class="fu">order.dendrogram</span>(dend)]</span>
|
||
<span id="cb36-24"><a href="#cb36-24" tabindex="-1"></a><span class="co"># color branches based on cutting the tree into 4 clusters:</span></span>
|
||
<span id="cb36-25"><a href="#cb36-25" tabindex="-1"></a>dend <span class="ot"><-</span> <span class="fu">color_branches</span>(dend, <span class="at">k =</span> <span class="dv">4</span>)</span>
|
||
<span id="cb36-26"><a href="#cb36-26" tabindex="-1"></a></span>
|
||
<span id="cb36-27"><a href="#cb36-27" tabindex="-1"></a><span class="do">### plots</span></span>
|
||
<span id="cb36-28"><a href="#cb36-28" tabindex="-1"></a><span class="fu">par</span>(<span class="at">mar =</span> <span class="fu">c</span>(<span class="dv">12</span>,<span class="dv">4</span>,<span class="dv">1</span>,<span class="dv">1</span>))</span>
|
||
<span id="cb36-29"><a href="#cb36-29" tabindex="-1"></a><span class="fu">plot</span>(dend)</span>
|
||
<span id="cb36-30"><a href="#cb36-30" tabindex="-1"></a><span class="fu">colored_bars</span>(<span class="fu">cbind</span>(k234[,<span class="dv">3</span><span class="sc">:</span><span class="dv">1</span>], col_car_type), dend, <span class="at">rowLabels =</span> <span class="fu">c</span>(<span class="fu">paste0</span>(<span class="st">"k = "</span>, <span class="dv">4</span><span class="sc">:</span><span class="dv">2</span>), <span class="st">"Car Type"</span>))</span></code></pre></div>
|
||
<p><img role="img" 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" /><!-- --></p>
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<div class="sourceCode" id="cb37"><pre class="sourceCode r"><code class="sourceCode r"><span id="cb37-1"><a href="#cb37-1" tabindex="-1"></a><span class="co"># horiz version:</span></span>
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<span id="cb37-2"><a href="#cb37-2" tabindex="-1"></a><span class="co"># dend <- sort(dend)</span></span>
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<span id="cb37-3"><a href="#cb37-3" tabindex="-1"></a><span class="fu">par</span>(<span class="at">mar =</span> <span class="fu">c</span>(<span class="dv">4</span>,<span class="dv">1</span>,<span class="dv">1</span>,<span class="dv">12</span>))</span>
|
||
<span id="cb37-4"><a href="#cb37-4" tabindex="-1"></a><span class="fu">plot</span>(dend, <span class="at">horiz =</span> <span class="cn">TRUE</span>)</span>
|
||
<span id="cb37-5"><a href="#cb37-5" tabindex="-1"></a><span class="fu">colored_bars</span>(<span class="fu">cbind</span>(k234[,<span class="dv">3</span><span class="sc">:</span><span class="dv">1</span>], col_car_type), dend, <span class="at">rowLabels =</span> <span class="fu">c</span>(<span class="fu">paste0</span>(<span class="st">"k = "</span>, <span class="dv">4</span><span class="sc">:</span><span class="dv">2</span>), <span class="st">"Car Type"</span>), <span class="at">horiz =</span> <span class="cn">TRUE</span>)</span>
|
||
<span id="cb37-6"><a href="#cb37-6" tabindex="-1"></a><span class="fu">legend</span>(<span class="st">"topleft"</span>, <span class="at">legend =</span> <span class="fu">levels</span>(car_type), <span class="at">fill =</span> cols_4)</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/8leAvFY9bLAAAAOGVYSWZNTQAqAAAACAABh2kABAAAAAEAAAAaAAAAAAACoAIABAAAAAEAAAHCoAMABAAAAAEAAAHCAAAAAOQBvRMAAEAASURBVHgB7F0HXFTH8/+K9KKAgAVRLNh772KLLZZfNEZjN8ZYoim2qEk08R9TNLEksfcSNbYYNZbE3ntDwV5ApIP07n9mz3fcwd0BKgjHjp/jvbe7b9/u9yHfm9nZmULPSSBFIiARkAhIBCQCBRQBkwI6bzltiYBEQCIgEZAICAQkEcpfBImAREAiIBEo0AhIIizQr19OXiIgEZAISAQkEcrfAYmAREAiIBEo0AhIIizQr19OXiIgEZAISAQkEcrfAYmAREAiIBEo0AhIIizQr19OXiIgEZAISAQkEcrfAYmAREAiIBEo0AhIIizQr19OXiIgEZAISAQkEcrfAYmAREAiIBEo0AhIIizQr19OXiIgEZAISAQkEcrfAYmAREAiIBEo0AhIIizQr19OXiIgEZAISAQkEcrfAYmAREAiIBEo0AiYvsrsmzZtiuHDh79KF/LeLCKwatUqDBo0CCNGjMjiHbKZREAiIBGQCGQFgVciwg8++AD8kZLzCJiYmCApKSnnHySfIBGQCEgEChgC0jRawF64nK5EQCIgEZAIaCMgiVAbD3klEZAISAQkAgUMAUmEBeyFy+lKBCQCEgGJgDYCkgi18ZBXEgGJgERAIlDAEJBEWMBeuJyuREAiIBGQCGgjIIlQGw95JRGQCEgEJAIFDAFJhAXshcvpSgQkAhIBiYA2ApIItfGQVxIBiYBEQCJQwBB4pQ312cHqzp07iIqKMnhLpUqVYGtra7CNrJQISAQkAhIBicDrRCBXiPDu3bvwbNIMjUqX1zt2v4gw1GnZFMvWr9XbJn1Ft27dcPToURw7dgx16tRRV3MElgoVKsDd3V3UqSte4SQ2NhYlSpTA06dPYWNj8wo9yVslAhIBiYBEIC8hkCtEyJpgQ9fyGOjgoXfu903DcCMxeyHEmJwKFy6MP//8U4sI//33X4SGhsLFxUXv87Jb8fz5c6HR8lGKREAiIBGQCBgPArlChDkJ1//+9z9BhLNmzVI/ZtOmTWBtkTVRRc6cOYM9e/YgPDwctWrVwtChQ2FmZobFixcL0lTa8bF9+/Zo3LgxgoKCsHHjRjx58gS9e/fWbILg4GCsXr0a9+/fR6lSpUR/pUuX1mojLyQCEgGJQF5G4MefpsLNPQFmFmY6h+l98wFuXktF2TK6rXnx8fG4efMm6tWrp/N+Lrx8+TKqVKkCKysrnW0eP36Mjz/+GM2bN9dZnxuF+Z4ImbAOHz6MS5cuiZfBL+bIkSP4v//7PyxYsEBg+M8//4gsGV9++SVcXV0xZ84c3Lt3Dz/++CPs7e3VOD948ABz586Fp6cn4uLi0KlTJ3h4eIgXNGTIEHW7mJgYQab9+/dHy5YtBREzKTLxFipUSN1OnkgEJAL5BwG29iQnJ9IXZIv8M+hXHOmy5QvRrG0UzM11/926dSMVd7yfI/Cp/gfx37z//vtPbwOuZyudIeGkApIIDSGUSR2D3KdPH2zZskUQIZMea3QWFmm/zPxNZP369Wjbtq3ojU21Bw8eFOd9+/YVR9bwOK0Ua4j8QjZv3oyQkBBBsNygbNmy6Nmzp2jLWuX06dMxcuRIcd2sWTOUK1dOmE6LFCkiyuQPiYCxIRATG45J08vBydEd30y5ojW9G94HsHBlH/ToMgNvtflUq+51XTyLDMC+g3Nw1Ws3HIq6ommjgWjRZIjoPi4uEnv+/R6Xru6Ac7HyaNd6DGpV7yrqUlKSsWXnJFy+thNWlkXQq/v3qFmtk3pYgUF3sPXvKbhz7zhSUpLgUaEl2nuORbXK7dVtjPVEfnFXvVkTY3jB7733niBCngubRRVyU+bGWuO5c+fQtWtXlC9fHr/++qtWSiPW/rp37453330Xw4YNE7d5eXmhdevWShdCS+RvLSxsAmXHmffffx81atRAx44dRXlycrI4yh8SAWNEgDWmhIRohEX44rHvZa0pnr24Cc9TU5BCGlVOye7935Gl5hmmjT+Nvr3mYvuuaXjspyLk46dX4Im/F74cfwZvd5yKZWsHUdtIMRQmz4DAW5jy2XF06fAFlq7pj4hnKhUnJPQh5vzWAWXd6mLGF5cxZ6Yv6tTshkUr30N4xJOcmorsN48hYBREyPZp/mbD3qPnz59Hu3bttGAePXq0MJd+8cUXwp49ceJEKE4vqampGDBggCA3zXXG4sWL4+HDh+p+wsLCwG1ZeK2RtcFevXrh0KFDwnOVy5U++VyKRMBYEahXqyfOX96inl5SUgK8bx9EZQ9PdRmfBAbfxc5/ZmDT9s/hfUtlgeFynztHcJu0r7/3zsTh44u4CAFBt7HnwA+ivUJuouLFDxUJx6ArkZyNtQPcXGuhZvXOOHdps2jhffuQ0OCsre1Jo2sBayt73Ht4WtQdPbkE3Tt/DfuipdCo/nuoXrkDzl7cKOp27f8/eJRvTuQ5TdRbWNigVbPhaNNiFO7eP/Xi6fJg7AjkChHa2dnhnN89rA27o/dzMC4Ahc11L9hm5SWweXTUqFFC62NPUk3h9cC3335brOfxfyh2gFGS3I4fP15siVi7dq3W+l6bNm1w8eJFXLt2TRDcypUr1V2yg0zlypUFEbJnqlKn9KluKE8kAvkIgWfhiYiOzNxzu2G9PrhwZat6Zl7eewUJmpmlOUP4+V/H9780R2JiHBwdymDlhg9w7NQKcc9Nn/+weGVfBAXfAZs7/Z/exOwF7RAZFYiiRUpi3qIu8H1yVd0/n/AX3WEDVpLZs5wo57U8r5v74Fqyhrhm8jp2ahmOnlyGP7Z+QmTpiIpEcMlk6gyP8EMJl8qiHf8o7uKB4JD74vr+w7OoV/t/6jrl5J1u/4eG9d5VLuXRyBHIFWeZihUr4ti5M1naUP+yeLN5lDW6pUuXZuhiypQpGDduHNatWyecYFiT47XAwMBAzJs3TzjMlCxZUq3xMakuX74cixYtQocOHcR6I68Dmpubi75Zg2QyrVatGthc2rlzZ7FGeOvWLWEyzTAAWSARyAcI/DztHpxLWGDs1+UNjta9TEMyg6bike8lMinWw7mLm9Gs8SAcP71Kfd+e/bPQoG5vvNvzR1HmWqKaIMNWzT4Q1y7OFTF80FpxvmbjR6TNtUM/MneysObGpks319riOv0PXvNbTqbPUiWqo0mD90W1gz15bBNZsqbHa3787MImZogkouUvv1ZWRdXd8HkQaats4QkkTdTRwU1dJ08KJgK5QoQMLZPh6xbF4YX75S0RmqZJJkb+sHTp0kV8eDuEsreQnV1YNO8RBRo/Bg8ejIEDByIiIgKOjo4aNcCpU6fA5lLWdnkbxuzZs7Xq5YVEIL8hUMLVEu+PynwLEGtnDUhbunB5q9C07j08Q6S2TosInwTcpC++QfAiJxqW589TSft7ilha42MpWbyKOPIP1h7btBylvuY1On0ST2uUC5cTyRU2w9gRf6mtOAtX9MY73WYRMfYjgkvBD/Na4dDx39Gq6XDRVWJiLH2hVQXC4HVOOzsX8SW2uDNph6EPUN69sdYjWZM1M7NU969VKS+MDoFcI8K8gJxCgtkZC2t86UlQuV9fuVIvjxIBY0WgUd0+WLTqPbiVrkMemJ2JmLT/lFha2KEZeXW2aTlaQMBEmEqanPULzczM1EINjbm5NcLCfdXXTExR0cEoX7aRuoxPomPCMH9RVxQvXglD3l8OUyJDlohn/uJ+hUBNTAqTx2gX3Lt/Gh3bfg5LSzuEhj8mDbKqaB8a9hilaY2RpWyZ+rjp8y8a11d5j4tC+rFy/VChRQ7ut0QpkkcjRiBX1giNGD85NYlAgUSgDHlZFipkgl37ZmYgEQaEtyecOb8BiQkxsCCiO3Tsd/y6VLX9KD1g1at0EFsbeHsGmys3bx+Ph48upG8mzKEuzhXwfu8FSCKNjb1Ck5LixboimzfPXlA5wLDWeeHyNriXbSD6aFy/H/aT5yi39X1yDTd8Dgii5MqeXb7Bleu78N+RBeQRGwPWOI+dWo7r3vuEg02GQcgCo0RA+2ucUU5RTkoiIBHICQQaklZ48uxqse8uff+d2k0gr9E7mDSjHBzt3YQpUp921cHzE9r6cF3sUSxqVxzlyjYUnpuaffJ2DS8iJxbeqqEIa53DBqzCmOHbhNcpe6EmJcejfu13aD/jZ6JZt05f4fdl72DyjApkDi1MBDedTLqVRJ1TMXeM+XCb8GDdufcbtuGSmbQJPhqyAQ72rspj5NHIEShEa2QvHTyTHUqGD1fZ4I0cpzc+vVWrVglP1xEjRrzxscgB5E8ENi7xQ3BAAqystb2qldlcvxCJT78tj/KVbZWiVz6yFsYf3taQmbBGxqKs5WXWXlc9a4kWFrZi/S99fVRUMAXML6azjtuyJyqP1cqq4ATFKFfBBp6dUggz3b8TN67Gg6PLREakmbI1cWUNnr3lNQOYaNbzeUJCgsCcfSl0Cd8/aNAg8N+4NyW5phHKNExv6hXL50oEVAiQjwsaezoS0VnrhCQiLAlF7XX/sdJ5QxYK2eGEP1mRVyFApX9DJGZn56w003k0NTUHfwqS8NpuSko8fQnQFwzkOZGYiswM4cJkp0/YuYoJ01CbxMScC8Sgb1ya5blChByDs1nzBvCobKf5bK3zkOA4NG3SAWtWp5k9tBrouMjNNEw6Hq+3SKZs0guNrHiDCJiZm8De0UxskdA1DBtbUxQ20+82YKwh1nRhUVDKeJ33VYWJ7hUMi6/6+Ndyf64QIcf2rFjJDtXqBugddEjwc9p8G6+3XldFbqZh0vV8fWX8S8Fzzu+/HPrmJ8sLJgL8+6wZYo0dZhTJrRBrbLrkEGvsZTp3YWeUIa9V/miGWHvy1AsLlvbATzMeCDOnZoi123ePixBrM6d60X7Fksrw5bGAI5ArRJiTGGc1DRNrpbyhPjIyUkSZUcKwcaYKjkTDGSycnJzA4diio6NF0O0bN26AI8xwFgq2b3Nmi2XLloE3znOM0Q8++ECU8/wMpWwydB8nFt6xY4ewsfN+R834pjmJm+xbIvCyCCgh1hQiNBRi7cz59YiLj0RtCoBdlTbNs3CINXZa8bl9BHa2TmIPIYdYu3hlO5no4lGXQrgxuWmKioRj0K3zVyLEGodZU0KscVt9IdZqVO1I0WaWYOTQTeoQaxyYmzfe89YKKRIBRuDV9eI3jCMH1E5JSVFniVDSMDGpKHL9+nWRWYKDa5cpU0bkDmRHHxZOD8KRZHgNMyAggLTSRPTo0UME8a5du7bYKM8pnfgZTFIHDhwQWS44OwWbZlmUlE28yZ4DcmumbDJ0H4dw69evn4hQw9krmNSZmKVIBN4EAvFxKXh8LzbTRxtTiLVMJysbFAgE8r1GyPbpzNIwfffddyKzxE8//SReavXq1QUZKh6vHPWGtUUWzqt14cIFkazX1NRUpG76448/sHPnTvj6+uLEiRNCC2QvJ85AweTH5fpSNhm6jxNSFitWDG+99Rbc3d3RqFEjdeQbMRj5QyKQiwg4upjD51o0ajVMC0em6/HGEmJN19xkWcFEIN8TIb82DqXGZPj999+LNExMcJwzUBE2cbLpcv/+/aKIPZj8/f3x7Jkq3FPVqqqIE1x59epVEZybSZDFzc0NkydPxsyZM4VZlTMtK8IJejk786NHj7RMmp6enmoXbX42m2N13ceJfXft2iUCeCtBvCdNmqR0L48SgVxFYMi4Mll6nrGEWMvSZGWjAoGAURBh+jRMHBB769at6hfI8UBZgxszZowoYyJkd+GiRVXffDX3wFhbW8PPz099L5s2may4vGbNmuqEvtyAzbCciHfx4sVaJk3NlE38bH33MdmyiXbhwoXYvXs3fvjhBxEInK+lSATyMgLGEmItL2Msx5Z7COTKGiGTwd3bkbhxqYTej999FzI56t60mRU4WCPUl4aJs0NwhnrW4JjQfvvtN5GIV1e/nMWetTxev2NhsyhnqGCHGTaZ8of7ePDgASpUqCDMooZSNnH2Cn33sTmWn2djYwPWDnldk71NpUgE8joCxhJiLa/jLMeXOwjkikbIa3CnT13K9I98pUqVXnrWhtIwcSJedoYpW7asMHVy8G32/tQlbKLk9EtMbrwG6OzsLIiT1xU5xRNnsuf7ORj33LlzRfol7kdfyiZD9/F4/vnnH0GonOKJCVFTk9U1PlkmEcgrCBhDiLW8gqUcx5tFoECFWGNTJn/s7TMP98QmUU6/xM4smsJm1eDgYIqAX1yzWJxzna6UTVxp6D4OMcTriOmfpfkAGWJNEw3jOZ887AaKOrzeaC760Anwi0fbbk7oOaCUviavvZz3/fEnP4RYe+2TzwcdVixXBG06pMJKT1L0yzejcP9qYQRFpuqcDf9d44/iU6GrkRK1Rl8brh86dKg6wbmuPnK6LFc0wpyeRFb7t7S0pJQsWQv3xHsLdRETa4K6SJDHYChlk6H7eI+irmdldV6yXf5FgElw6s8vbwnJzsy3rfZH1dq5G0czP4VYyw6WxtLWPtkZnjcbwMpU95ex5Kd3EZJ8H/7JwXqnzM5TCtnpaqREnjHUxlD4NV19vu6yXFkjfN2Dlv1JBCQCuY9AYlQM/u48HP8N/SLDwwPPXxN1d/7cm6HuZQse/3sSZ76al63bU5NTxDh4nMpnX99PcWLCj4jyfSr6SklMwuGPvsaNFVu0+g44exX7+49HQoT2Ov39vw/i6NhvtdoqF2e+nIc7m/9RLkU0qX19P8Px8d+ry/jk4o/LcHPVNq0yeZF3EJBEmHfehRyJRCBvI0Ah1pLj4hEXHIaIOw+1xup78DSes5lMb/BmreZZunhOpJaSkP1gzDzGlvOmocuO38Wn6Xefw7yIDU59MUc8tzCZAeuMHyoILOSajyiLDQrFhVmLUefTwbCwT4uJHPXYH16LNtK8dQeVdqxeEcGXb6rnw7gUtjBH2I274C8OigRduA6n2mlbr5RyecwbCBQo02jegFyOQiKQvxEo1bIB/A6fhb2Hu5gIa1jBF2/AqU7aflyuCL1B0ZrOXEESEULRCmVQtnMrmNCWofs7DyIxUlvrcqlfA47VKiL89gM8OXoOZjbWMLXSXsbQ158YRLofhS3MYGqp8kLnZ1ce0AMHh01BUkys6NuhUjlUG9oL579bhHbLZ+HcN7+h3NttULyhKnM9d8ekzuRYvmd7BJ6/nu4Jqkvn+tVx649dQhNkE2DguWso0aQ2fVF4hKCLXijt2RgxT4NovtEoVkNlAjc0D56//7ELMDEzBeMcceuBwE3nw2Xha0Mg1zRC9tq8dOmSwQ/H+HxZ4QVbDsItRSIgEXg5BEICE/D3HyrzoaEeSrdpgidHzqqbBJJJ0aluVaEJKYVMgGe/mg/LYvYoUs4NtzftwY3lKlOkma01aWh24pMUEwfv1TvwPCUVYT73cGrSbMqAYYaE8Ge4uTJtL7Ch/pRn6jpyjNK4kHDc3bpPEDUTrCIefbvCtlRxHBrxJQqZFEK1Yb2VKnHkcTG5G9Lk7CuWBRNg1KMn4p7As9cEmRZvWBN8zhJy1Uf0wZqooXmEeavmX6iwidC8T0z4AWyWlZLzCOSKRsgBrxu2aA77F9+IdE0rJjAE7Rs2wcZVq3VV6y3jvnmj/MmTJ8UvJMcHHTZsmPgoN61Zs0bs0eOtEBxuLTQ0FL/88otSLY8SAYkAIRAekiRCrHV/3zAcDlXKkxn0udDeWLPyPXQaZTu1wsM9R9Q3snmwwZej4FKvuihLjo1D0KUb4tytXVNxTIiIxJHRM1CXzJTFalbCma/nw61Dc1Qd8o6qPjxSaFJ8Yag/0Tjdj/+GpK1jmlpboVy3Nqg6daRWKyYw966eOP9/C+HxbmcwASkScu2WIK02i74Rmp1Snv5YiJznnOtVQ+j127BycsSz+xQ2sVZlWDgUwd1tqkhWTIQuRIwshuZxa/1OlO3SWmiq3JYxY81SSs4jkCtEyJvEi1avhGct09K2pJ9a8tNgxMdkbz2AY3zWr18f48ePF/vveC8eZ5HgKDKsISqxRDmrO2ukLOydxFsopEgEJALaCFjZFEYJV21zpHaLF1dEIKXbNCat8Bzs3EqK9bCG00ZrEaFD1Qq4R0TAjiRRj/xJ40uBbekS6u547e/01F/gSqZD9y6eojzygR/KdGyhbsMEw89gyaw/9U0vTtou+w52ZUqKtUw2e/KzrV2KaTWLCw3Htd/WE0m2xY1lf6J449qwdS1OBBSPC98vRs2R/RATEExrouFITUoWzjY83/TCZl0mQvOidsL8yZofm2NBXxZiA0KERsjaJ4uheTy77yvMsEr/3K8kQgWNnD2mfQXK2efkSO9TpkwRG9y//vprcPQaDpXGEWC2bNmCkSNHiliiq1evFpkjfv31Vzx5ojJfsLmEI8aMHTsWK1as0MobyBvcP/30U8yYMQMcFFsR3jDP0WYmTJiA48ePK8XyKBEokAiUbqsyjwacviLWxExMC2vhcGXuagRf8Ubl/t3QYc2PYCLg/3cs7FTDWpiVsyOqf9hHfR9rUUwcimh6bxrqT2mveTQxKyy0L16Xa0Ca4JV5a7ScWsQYZi5EiWZ1SSMdhpIt6osxsdcpEyRrel5LNwsHG2/y9ozxDxTnbMJNL86k9YbdvAt2iCneKG2N0aVBDTw5fl6QaJGyruI2Q/Ng8ox6nGaajvYNSP8oeZ1DCORrIjxCKYt699a26zNOnC6JN82fP39eRIFhE0jJkiXBGiMLhzbjezkQNptKf/zxR1HORyZBDw8PEaSbs0EoZMhRZDi9Eqdc0gzoLW6UPyQCBQwB4ShD/6+81+yAW7tmGWbPxFGyaV041aoi6vzYq5S0QpbrC/9AfGiEICj+v6kIr6v5HTqDpOhY8fE/el6pEkSkrz91Iz0nznWroVz3tmILQ3K8yvvTZ+1fYgy1xw4Ud7G3KK9Leq/eLrTcjht+hvKpN2k47IjI+FrTfKo8jrXIVJpbwJmrtD6oMoFyHZMia8UuDdLKDOHCzjGPD5xA9JNAoUX7HjylPEIecxiBXDGN5sQcOBoLZ5Dg/IK6hEnOy8tLEBtvZmfC5DVCFg7SzeHSWNhUeujQIXH85ptvsGfPHhFejev4GbyWyLFGWdjEylqkFImARABgrfDR3mNiTSw9HpX7d8fVBWvFH3Y2g7q2biQcP+LDIoTjCjvM7HlnjDAf8r2uZGqtN/4DoRHxXj4mSHZU4XUyFn39sWbH2ltmwprn0xMXhQMOEyp7erb+7Wu1Zyo70TSYOgrHP5slyMyQg4yuZ/FaKHuJ2pUppa5mjZA1X01yNDQPXjsN97mPox9/A17XLFbdgzxOg9X9yZOcQyDfEiFHY+FktoGBgTrR4SS7mumVNBtppkTieJ+s4XEQbdb2lHVFbs9hz5g0FdHXn1IvjxKBvIxAkH8C/jjvBwtL3cQRG52MxAQ2/bnpnIZ5EVu8c2S9uq76B++CP4o0+fYT5ZTMpXXEJ560LEsHVZYXxQlGsw/1DS9OGk4bhSQiPxOK7MSOJYoY6k9pw0c20erq34yIpfOWBeqmPQ+sUp8rJ07k5PK/g2uUS/VReba6QMdJvYnDM5Ra2BfJMBalL1248DpjxV4dUeeTwaIvJmvempKTwmuf9K1Dp6bLz2VjdnJqit4QahyKkk3e+sKncR9KRBl9bbheMwMQ35Pbkm+JkIFq0aKFcJLhdUFN4W0anCOwSZMmmsXqc80Xoqxb8Bojfwvdt28fXF1V9nzWFjVDsimmVXVH8kQikI8QGDW1nMHR+j2Mw6FdaWt0BhtnsVIhwSw2F82YtPTJy/Snr683Wa5rHmy2PT1tLjze60Km4Rjc27ofDb8anaPD5P2KxGRi+4quB7Hh2tSksJrMdLahv5sK2emr57+zhtq86RBruUKETDIRN27BUKjrVPrmY+GhWk/QBaauslmzZgkynDNnDsaNGyfWAJkE33//fXA2eiXfIGd1YO3OkDD5cd5Azi3IeQFZOAPFgAEDpDnUEHCyLksIxMYm4/q5SDg6p2k5fGN0JH0jzyfCkVL29fkE1iWc0H6V6v+IMnQOsXb26wWoSpvUPfp0Vopf6cgh1vyPnUeTmZ9muR92dtnd7SOt9uZFbclrtCRqfzJIrP+xlnVs7Ey4NKqppdFyiDU253r+PkMrugzv5fOlsbT+9Wutfl/3Ba8pssdpIDndmJLjX7MfJ6iDFrzuZ8n+tBHIFSLkNEwXT55+7WmYmLxYg+MM8kx8/K2DUyd9/PHH4qNM9a233hImzh07dihFOo/sScokyuuOrAl6enqqk/nqvEEWSgSyiEBoQCJ2bwpErUZFtO7IT0TImoNmiDUlsgxPKK+FWGuzZCY5uKjW62LI+eTWhr+F1yc7vCgh1o5+/K1qPZAcepQQaw1p76OuEGs25BCT08IWKXbs4Y+U3EUgV4iQp8RkmBPC+QP/+usvoXaz1ufo6JjhMZs2bVIn5e3aVbWfR2nETjSK5ynnDrx69arYcM+Z53kdUpHbt28rp/IoEcg2ArxHz628Fd4dpjK7Kx3cuZEWj1Ipy+tHGWItr78hOb7sIqB71Ty7veSB9rzup4sElaGxeVTTVVsp13XklEiaJKirjSyTCBgbAqydPrqXeZhCGWLN2N68nE+uaYQSaomARCBvI1CqjCU69FBtMTI0UhlizRA6si4/ImA0GmF+BF+OWSKQlxAoYm+GJm0yLi1kGCOtZSkh1njNkFMOcTgwTeFQYuEURPrk5Nng/Hz3th8Ap1VSRF+INac6aQ5zHGJNkcz6U9opRw6x1mP/SrFX0MzGKksh1ngjO4sSYq3KwB4ZQqwp/cujcSEgNULjep9yNhKBXEGAN9Ofnb4AnH2B0w7pCrHGm+eZTBwql8eD3Yfhf/yCGNvLhljT15+uCacPscaJeTneqOKIkj7EGm9d4M3v7BmqGWKN+06hXISJUdHC2eattbP17rnTNQ5Zlj8QyDUi5KDXHHzbkFSqVAm2traGmsg6iYBEIA8goBlire7nQzOMiEOJ8Voih1hj7Y9DrCnhyZQQay3nTtVat1dCrJXt2FL0xyHWeOsDi6H+RAMDPzRDrLVf/YPIU6iEWGv2/XhxJ4dYO/jBVBFirfrwd0U4NaVLTp3EKaTaLf9OKZJHI0MgV4iQUyU1b+qJiuV0b3BnTEPC/NC0eW2sWasKfZYZzrzVgQNr65L27dtj+/btuqpeqUwzndMrdSRvlggYAQIyxFr+f4lKQJGcnEluPONVx1+IBqkKCf8SPS1fvlwrJJm+Li5fvozRH85EDffh+pogJOIeLJ0uY+OmlXrbaFZwEl4l+PWqVauwe/dubNu2TTThPYDs+fm6hcMAsWarL77p636eZn88R459yvFOpeQ/BDjp7fY1TzFikrvW4GeNv42pP1fSKjOmC81QYlmdl64Qa8q9L9Ofcq88ZkSgWhlnjKlRD1bmunWi43cf40DgbYRGcYyZjMLRYjjMmqEQaRw1hj329UXm4vqhQ4di5cqs/e3POIpXL9E9+1fvN8d7sLa2Bn9YONMEg6yERlMezi/pwIED4sP7DT/44APRbvPmzXBzc0OzZs1E08TERHB0Gk6xxP1wsG5uU5jiHQ6hjBPu7u7QTOfEGSr4WWfOnBFBupmQa9WqJV6m3HahoC+PEgGo44xmB4uCEGItO3jkZNskq2ScLfMf/d3TTXR3o1KREvackhLoHwWTnKEQaVzP+pahNobq9D/59dUYrdcoA8sBszkPIW+U37BhA9hkygl7g4KC8NVXX6lR5IwT/GESnDZtGnr06CEyVXD+Qk78e+vWrQzpnDhv4TvvvCPSO9WoUUMQ6ZdffqnuU55IBIwNgZjYcIyZaI/p39fJMLUb3gdE3YHDqkwtGRq8hoJnkQHYvGMCps6sgtkL2uHEmdUZeuU/uPMWvY0Dh+aq61JSkrFp++eYPKMCZvxQF9dv7lPXLV7ZV4yb5zVushOmfltZtI2Kklkf1CAVgJN8qxFm9m44mkxwcLCIFMPfSPr37y/Mpfv37xdh1DgsGxMda3Zr167F4MGDhTMP5yTktEytWrUSj2Btj2OPsmlSM52TlZUV1q9fj7Zt24p27Ah08ODBzIYl6yUC+RYB1bf6aIRF+OKx72WUcaurnsvZi5so4W4KUpIT1WWv+2T3/u9oeSAe08afRli4L+Yu7IwypeuIj/Ksf4/Mxw2fA6hUUeVww+X7Ds5BQOAtTPnsOG7fPY6la/pj5lQv2BcticSkOLRpMRLtWo9FckoiwsIeY8vOyVi8qi8mjP1Py5lHeYY8Gh8CRqsRent7o0OHDupfZDajtmzZEj4+PoIQOdTaxo0bRTi1w4cP47333gOHUWOCU0ym/Lo7duwoNML0r75x48Y4d+4cuJ/y5csLzZPX8KRIBIwdgXq1euL85S3qaSYlJcD79kFU9vBUl/FJYPBd7PxnhtCwvG+lfUn0uXMEt+8dx997Z+Lw8UXinoCg29hz4AfR/rHfFa1++EJFwjHo2nEqbKwd4OZaCzWrd8a5S5vVbf38r5OWuAr1av9PXcYnR08uQffOXxPxlUKj+u+heuUOOHtxo7qNpWURONi7wrlYOZpDa0wcexCP/S7jwuWt6jbyxLgRMFqNkGOFnjp1Suvt3bt3T6wNciEvzrJ5lDNjdOnSRWSq4HtiYmKEJskZ7Vnu37+vvkcUvPgxevRocM5DNqU2bNgQy5YtQ2ZBvTXvl+cSAUYgJCgRi75/kGfAMDM3wfDxZQ2Op2G9PtiwZSx6dZ8l2nl57xUkmJioSqLLhUxKc35tj+aNh8DRoQxWbvgA3Tp9hVbNPsBNn/8EYVWr3I6WKpLh//Qmfv69IxrU7Y2SxauQabMLPhu9l8iutnocbNUZNiDNmSKZNE8vMnH27vGjaMNkvGL9UAzuu0QQn3JjckoSwiP8UMKlslKE4i4eCA65r75Of2JhYQP3Mg3xyO8SGtZLy7eYvp28Nh4EcoUImWzuPjxjELWk5ARUK1nKYJvsVLImN2PGDFy8eFGs8+3du1eYQlmTY+H6Dz/8EAsXLsTs2bNFGWt2vJeRUzF9/fXXguiY3JSs9JrpnJhUWYtkLZMT+rJ2yc41UiQC2UFgwncVYWWTdwwzTDiZCZMEb0h/5HsJZd3q4dzFzWjWeBCOn16lvnXP/lmC2N7tqSIq1xLVBBkyEbK4OFfE8EFrxfmajR+BSbFfL9W6HmtuEc+eahGhaPjiB6/5LV87CKVKVEeTBu+L0u27pqJ29a6oQFu0WANUJJLWFVmbtLIqqhSJ8yDSVg1JqRJVyVr00FATWWdECOQKEXLmidNnjmVpQ/3rwpadXObPny9SKTk5OQknGd5byN6iLExaAwcOFOt87ESjlDGhcSqmFStWID4+XqwdsvbHopnOacqUKSIH4rp16wQR9urVSxAoO+PwWqIUiUBWEOD4nvlNmCwbkKbEpkPWtO7Rl9zhg9ZpEeGTgJv0/z0IXuREw/L8eSqeRT5FbNwzcc2anyKsPbZpOUq5RJ2a3dTn6U/iE6KxcHlv+v9rhrEj/hJLH963D+GK1y58/OEOsIk1Lj4KUdHBRKb+sLJUEWBiYiy5+NuI7hKoDzs7l/Rda12zY469/ev7Yq7VubzIcwjkChHyrHMqDRP3nT7/IJexjBo1Suy7CwkJQfHixVWFGj+FuWXYMC3iqlu3Lnh9kR1tHBwcoJnNXjOdE9/LJlX2QHVxUf2nmj59ukbv8lQiYLwINKrbB4tWvQc3clapWa0zEZP2nxJLCzs0azSQCE71JZKJMJU0OesXmpmZqYUaHHNza+H8ohQEhz4QRFa+bCOlSByjY8Iwf1FX+r9cCUPeXw5TIkOWJ/5eKET/fl/2jrh+FhVIdebCsWZAn98ot6gdQsMfkwZZVdSHkkNMaVpj1CdMtryG2feFhqqvnSw3HgSMXnVhzS89CbLDDJMWR4r56KOPdL5NZ2dnLRJUGqVP56SQoFIvjxKBgoAAe4wWKmSCXftmonH9vhmmXLNaJ5w5vwGJCTGwIKI7dOx3/Lq0Z4Z2XFC9SgdcvrYTvD2DLSqbt4/Hw0equKSaN7A51MW5At7vvQBJtB4ZFxcpyK695zjM+vqW+lOfnGU6thsPJkGWxvX7YT95jrLHqe+Ta8KrtFb1Luquk2lZhvuKjgkV5l5+jq2tE+rXVhGruqE8MVoEtL/GGe00tSfGURB4W8TWrVszbMLXbimvJAISAX0INCSt8OTZ1fCokLZVQWnbqd0E8hq9g0kzysHR3k2YIgf3S1u7U9rxsYPnJ6TVXcek6eVQ1K44ypVtSE41wzWbiO0aXt6q/X+8VUMR1jqHDUhbm1TKNY/spMPaIu8jNDEpTB6k08mkmxbNh7dl8IeJvQg9n4l5/JgDGbRczT6N5TyVNPVXFV6DNSSZ1Ru6N7fqciXEWm5NxpifI0Os5e+3qy/EWv6eVeajZy2MP9bW9pk2TiDtkUVZy8v0hmw24E3yNjbFtJZCstmF0TV3qlQKtbo6w8xCZWZOP0HfS09xzzsRCIpMXyWuObwaf/SFT+NGHLmL/SY0l5k0O+NtZ+yvwRa6NyUFUiN8U2DL50oEChoCZmaW4E9WJKcIUHm2nV3mSYeVtgXl+NzUDpcsm6CQhbnOKSdY3kBKIR+kEJnpE/aXYLLTJ1zPJm9DbTgc5psUSYRvEn35bIlAPkIgnr65e8yeoh4xf8t3tLLB21VrYXq77uSgkrPbh3yCnqLPH4tx7dNv1GN4mZOAqGcYv3szzvo+QLXipTCpVSe0KOeh1RU/q/OqeXgwWbX9Q7OSTX19NiyGZ/nKGNOsrWaV1vmSs0exw+sSwuJi0KNaHYxq0gaO1irPVa2G8uKNIyCJ8I2/AjkAiUD+QOA5niM6MQF7hn4CdwcnpPBewvBQjP5rHYpYWGFi6045OpEUIqDohPhXfsaH29agqKUVTo6agruhQRixfQ3+HjwWFYqpvL+P3PPBxzs34Fl8WoAAzYcuOnMYh+55o1nZCprFWucnHt7BsnNHsaHvCDhZ2+Kz3Zvw++lD+Kqd/q0hWh3Ii1xFwOi9RnMVTfkwiUABQKC4bRGUKmIPN3tHoUm9V7sRTj++p575zUB/fHdoN344/A8eE1EqsuL8cVzxf4wv9+/AqUd3KbZnClZfOInPiSTmHNuPp5GqPYbcPpqC5q+7dApT923H3lvXkURtFbnq7yv64HtYu1OENVbWwibu+RMrz5/Qukdpw+TGJPWFZxcUtyuC5u4VBaHt9r4qmhx/cJuIfb1eUr9Bc1t/+QxpwWlRb5S+NY/3iGAnkqZZ2bkEitnYYlC9Zth6/aJmE3mehxCQGmEeehlyKBKB3ETgx8l3kBCfSk4MadFkLCxNMJ6i3WRVmMyYWN7yqC5umXlwF7Z5XcTIxp64GeSP1kt/woEPPoeHU3EsPH0YFqamRDwVEUHRmL4/8g/O+z3EYCKJc7730W7ZbGH2TCXN7/1NS2FGptdeNRvg15MHBYF2r1YXkaQRTtm3De/Vbog9Ptfw980rODZystBOu66eD2cinber1Mama+eo/iq2DRyjNRVzMt/aWVjC2ixtTSwl9TlphsGiXfXirrj8yXSExqocdzRvTkhOwqgd6zC/Wz+sunBCsyrD+eD6zbXK/rl1DdWLq8I2alXIizyBwCsRISfmlZI7CHBcU7lnMXewLihPKeZiju79SsClVNrm9qzM/TNaX7OllGWxpIFdJCJzJNNf39qNEUUkNe/Ev2RmHCc0Le4rIi4Wc6lsYc8BomsmiI8atxbnG6+eRVXSmDpWqoF3KDlsp8o1kUzm1jOkXbLmeH/SD2LdsVW5SqRNqfYVsjl2dZ9hcCGttF3Faqg592vEkLn20F1vPHkWjn3DPoMZkV1f0lIrzZmKs4/vo3GZ8uJ5/MOKCLAbaXMz/tuJbzr0AGuvh+/7oImbqo2hNbxv/tuFTjTWhm7lMiVC9QPp5M9r5/HXjcs4+OEEzWJ5nocQeCUi5FidUnIHAQ4CzomFpUgE3jQCHYiAXGztBOF84dkZdUqWgaWZmSAvKzo2JqJQpF3FqthApkRFKpNmqAibJ0duX4vyP00Gk93Auk1FP16BT9C0TAW1803pog74tEUHsFmyCGlzTIIsXM4SSaEQvYOfCiJu+NtMUcY/YpMScSs4QIsIuXxKm674bNcmdFwxV9QxMYfp0AC5rSLH7t8SJto/+o3A3ZAgoZmGxEYLc65/ZDgm/rNFaYo/+4+Ek42duP7t1EGxNrhryCco5yi9VtUg5bGTVyJC+Yc5j71NORyJQC4g0KVKTbVjiebj2OQYQ270TBAl7FQxPh/SGqHrC8LitmYaodgqESkeHjERjyPC8Lf3FXy0Y63wqmStzT8yQt01a4H7aJ3QragjCuuJ42tnbik8QHcOGqu+j02ZPKb0wobgjURoipcrk6KHk+HYozfIi5R2AaA/mWxZgqOjxBeBBHL75y8D41u+Jcr5hy2NhYXNxKwJ7h36GdwdnUSZ/JE3EZDOMnnzvchRSQTyHQLsSVqRPC95/YzJi8mMnVB4TVCXDNq8XGhL5Ys5Y2yzdsIBJ4qcZFg79CENj82jLFvILLrozBERKF9XP1zmWaEKLlN7/liT2fZRRCjqLPgGT0hbSy+fk2l3wxWVlnqf1gYP3r1J5tI66ZtpXY9q4olL46arP2xe5THP6dpHaH9d6Vr5sHb8B2nBbBLdOmCUIPdIctJh07GUvInAK2mEeXNKclQSAYmAPgSehSdi37ZglHSzwKO7sYgIT8r2GqG+vllbW9F7CIbT9oR1l04jnjSyfnUaY3jDjCHYuI+v23cX2xTWXT4tnGc6VqqODh7VhKb1y9vvodvqBcIM6kQOMLO7vKvvsaK8qktJ4cTy/sYlgphMSH37vuM7KEvknF6+bPs2xu36A4uJXLndD53fFR6w6du9yvWc4/vhR2uW9RZ8q+6Gzcb+035RX+eFk0QKhF74FQeSWQi1zOr58W86Y88rhVh7Rfzk7RKBAoNAXgmx9uRRHFbPf4zWnZ1wYEcQBn3shorVbF/7ewiJiYK9pbXa/GjoAbylwYJMpqxJaQprlVxnyIFFsz2fcwQTNs0q64hclpSYAlMzE5Gyia8VCad1QYcCvsHdvVw9uLccDNMX5lwFG+Xof+skwrwvIjD0plKUI0dOfbdhw4Yc6TsrnUqNMCsoyTYSASNBgLdHOJewQIsOxeBzLRpF7LXJx9A0F8+5BK8rqm0G6dv1/7AGmrZ2VRcrziLqAgMnvLldl7CG6XM2HDXrmcKuaNY8W1mzUEjw3AnyCN33CL4PI2FpZYra9V3QrY8H7B1Va3gFnQQZc7NCpij7zBXmZta6XgESYh0QprMmrZBDqBnS+jKrT+vpzZ1JInxz2MsnSwTyFQIDPqpB2pUqW8GiORdRq35xNG9TWszB2jbrhJqdSa9dch3f/eqZnVtE27PHn2DzKm8MHl0TVWs6ISoyEdvW+2DNouv4ZFrDbPcnbzBuBCQRGvf7lbN7CQTu34ohDSKjKe0lulLfEhqUiJjotOgo6op8dGJrl7YJ3dTUBNY2pnAopu2VGR2ViAunniLwaQxq1nVGtdrOSE5Oxf6d9+HZsSxsXhCmH2lp/n7RaNSiFGUvSMXNqyG4cSUEJVxt0KKtmzBlnjzsR6bO5zi09yHad6UUTQ4WOHvcH4/uPRNBAGrUc0GVGsUyIMjayYZlNzD041qo3UC1XaOYsxUGjKiBtUSEocFx4Gt9z73lFYpCJoVw60YoeM5tOpXV2zbqWQKunA9EmfJFcZ40UDPzwmjdsQzsHVS4cP3JI08QEhhLZRZo1rY0HIvp1oAzTEQW5BoCkghzDWr5oPyCwIpfHqGchzUK0x/71yXRkUkI8DNur8EHdyIwd+Y5oSUWJfPjyt+uoVPP8oLEbpBJlUml9VtlBKR7/7oH94r2lKIpBd9NPkXmSgvUa1wCp4g02KQ54ZsmKFLUXGSeZwLk6DdrFxOJBcWhOZFJoH8M5n57DlNmNRX9aL6np0SwiQkpZFLV3hJhbWOGkRPqiaaGnnvzWghOHPJF1VoUTzXlucExPotIwNZ1PijlZidInQmdx/XN3FYUtScZM8YfR+OWrvCo6iC+IDC5z/rdM8N6peb45XnuIyCJMPcxl0/M4whwxJUBo91gaf2q/nRpE1WcZdJK3vxZWHAiFv/48JVCrGnO4u8/76BJK1e8N7SaKC7mZClMkW07uwtyPHHITxBhXGwSrl0MRl9qd/4EbYSPTMD0n1sIcmhM93865F/SDoMFkRWi7yL1m5QUa4RlyhVBz36VhLbFmuKNq8HwfRSVkQif8Nonk6f+LzKGnsuDdylhg+HjVFsqThF56Rsja8SxMcnoM7gqfXmyR4NmJfH5sP+oLAnxRITd3vUQmjD3WaGyA6aMPoL4uGRYWeeMKZmfIyX7CEgizD5m8g6JgFEgMOkHj9c6jwAiIE8yCypSvY4zaUUptEUjHvWblsTGlTcREhQLn+uhZNJ0FOT2lO6pRpoXO1SwWFgUJu3JEQFPyLSqUt6U7kS7f7bdw+MHkQgPjUNcbDJSyOyaXkqUshXPZK3PzEz7y0wCaYr8DEPP5f5Klk7zpDXUlonQwrIwkbEqgICtnYrgkpNShQmUtdll8y7Djwg7JVmVyT2VtEwpeQsB/V+Z8tY45WgkAhKBl0DgqW88zh4Nh/fVKPG5dT2KSCTpJXrK/BYra1Miujh1w2BaFytMJs0i5PHJXpv1m5TA+ZNPcZZMn009VU42XM5rdpoSHEDbGkib1BQmsB+/PE3kaY7Bo2rih0Vt4FpGFcZMsx2fl3S1FQR4y0vb3zEmOgmTRhyk9chgMR5Dz9XUJjMbI7dViFxzLNcuBmHdEi/Uo3mPn9EYE79tIqolDWqilDfOJRHmjfcgRyERyBEEblyOxPH9IfAhIuTPnZsxiIrIGSKsUddFrO+xwwxrY8f/80WFSg5qE2VzcoI5ffQJnvpGk8epav2uBmmN929HCAcYBuD6pSBEhCWgPJkZWVh7Y1NiLJFYDJkbW7UvI7Q134dReHz/mVrLEo1f/DApXAj9hlXDil+v4t7tcOHaz5roH8tvCDMqO/Bk9lzN/rLTVvM+/iJQopSNMO3ylwFed2RRNEPNtvL8zSIgTaNvFn/5dIlAjiLg6GSOGvWLoFMvlfdkTq5Vdu1VAcGBMZg88jCtgZnSOps1Ro5Ps2+ywwibDOs3K6Emx7IViqIvkdbs6WeEMw17fI6eVA+OTirPSiatmRNPUFl94XQza8pJsf5nQ44vdRoVR4B/tE78WrRzQzSRJ2tk4SFxMClsgjoNXDCQtoCwZPZczU4NteW1QH3C66Xs+PPVJ0cpckoh1CAvWicXKzFmNplKyTsIyMgyeeddyJHkEQR++eouRk8plyPOMiMmuefqLC+dikDQ04QMRJiT42BvSfa2ZC9NTWGS+3LsUYyaWA+lyxbRrAKvm7EmyU4u6YX7MyfNkM2PHCUmicg0fd/p79G8ZpOoFZlgWVNML4ae+yptNe+NoXlZ0PM1za2a9W/y3L1MfbRuNJnw1b2h3ufWfvg8+hdRUQ91DjOF8lEmU+BxC4uM7025IYHix3KgA7N0kYOUer5/wIABWL16tVKU60epEeY65PKBEgHjRsDCMuOflcvnAnHpzFM4F7fOQIKMBpOULhLkOs3+eJ8ef7Ijyt5FXfcYem769tlpq3mvjcb+S83yvHAeZR2NU6Uuw8RcN5E9C36E8KBIpIQkGBwuk50+4S8wHPrOUJskym35JiXjb+ybHI18tkRAIpBnEYinP1Yes6eox8exQUsVscfQ+i0wuH4znQ4jSuPntN3BgTaSF24QB45Dmp0QbEof2TlyjNJOK37JcEsTynM4t1tfdbkPpVfqvGoeHkz+UV12m3IYfksplM75PkCdUm74rUd/ddg2dSNjOSEvkWCbMBSySAuWoDm1BEvdpmfNNkx0hkKsabbNq+eSCPPqm5HjkgjkMQSeg8yXlA1+z9BPwCmXOLXQtQA/jKe0RkmpKfiwUSu9I2bPSf64zPwU7apV1tvudVXYUE7D+d3fV3cXT0l6B/25Ag1Ku6vLjtzzEdkvmDQV4UDfnBexZ7W6WED3f3dot8im8ffgtDyHSlt5NB4EJBEaz7uUM5EI5AoCxSlDPGuC/KlC6Y+siXQ+pNRL/es0EbkA2Qz2J+UQvEq5ATkRL6dWakk5BjlHHxPN0nO0TtikDVwoi/t6KrsW4Et9OYj7SxYpisCoSOy4cQkjKQcgSxKtQ80/+R/GUf6/834PKTlvIZHiiDW2ai6lMLBe0wwJeznpbiO3cuJ+/jFt/3a0cPdA/7qqLQzHH9zG6L/WYzIl1f2MiFwRzoEYEhONcc3bCw135lv/Q8XZX4jkwWXsHZVm8mhkCMjtE0b2QuV0JAKGEOCILAnxqRSqLFHnh6PNZFeYYDj34O2QAHHruF0b8ceVs6jrWhacg+9/637H5SePhTmUzWglbIvCnIjq+yP/YDsRXvOyHpTxPRLtls1GMpHe06gIIr5/1cPgnHmsmSXQ8ej9Wxi6ZSX+u3MTnINwHrWbfXSfuq2uk0tPHmE95Uec362furp6cVdc/mQ6kXR1dRmfcELfCpRcmMfJwkl+S9rZ43F4qLiWP4wTAakRGud7lbOSCOhEgLgEEbShfutqf5315uYmGPppWnQYnY3SFdpbWYO1xMcRYbSmVga1S7qBk9+WsCsqnCQO3vWGV6AfaW7NRCLc7tXqCFK8HRKIqs4l0LFSDbxTox46Va6JZNIYMxMzk8JY/M4g0SyVPFF3e181eMuSs0fRp1ZDFKMEv4roy3HoHxkh8igq7fhYxNISYXExmkXy3MgQkERoZC9UTqfgIXDuWBj+WheAoo7a2xUYCdbwHIqZqbdPlHSzxFfzX+8aHWtxnAyXyZDFs3xl/HL8AK499YN/ZDieJcSTeTMjwX3h2QUjt69F+Z8moxWZTgfWbZohOa/oMN0PNrMq4kAkzBqjPomIi8XfN6/g8IiJ+ppolXNuxBhaB9WU2MREOJMZV4rxIiCJ0HjfrZxZAUGgiL0p6jYrincGlcow40unwikFUPbNnRk6MlBwhMyVlqamwlTJpNFp5VyMaNSanFX6oZJTcXQhr0xdwnVMUKxJ/u19RTipsKbGZJRI5KpIOJEZi+KZaGmqTfikFOoVJsFaJUuLtUy9jTQqXGmt0u9ZWmg2JvmAqGeQ64MaIBnhqVwjNMKXKqdUsBDg9SyOXFKY9uJl/OiOg/kqCEXTnjH2GGUz4r5bXvh8z2aMbtKWTIhWiIiPBWthQ+o3R2Uye3oFPMHVp75qrY0da6JIQ2QZtHk5fj99COWLOWMsOcKw800U9c1bK7iPuyFBot1Wcrx5WblOXq31aK0yq8LrnUy8bG5l4mXHnko0Dx6bFONFQGqExvtu5cwkAjmCgOfSn0S/FqQFlrUvhg8btsLHzdqKMiYM9ghtv3yO2HtnT+TYpXIt3A1VkVrbClXResmPWN/3Q3zdvrvYvrDu8mkivjhaK6wuPEzNyJFmROPWaLn4Bzjb2qErrR0yyb6M+NCewHdrNsjyreY0p197vC+8YCfv3Ypi1rZYSuuRivNMljuSDfMVAjLEWr56XXKwuYFAfguxxhklvC5FoddgXaZR7RBruYEfP4M337OXJ5s50wuvwbFmqJAL7+OzoG0WvEFfU1jzZLE1EL5Ls/3rPOctIOwgk9Mb/1/nmF+mryKVK8Cs91swJYcgXRJ1/ioSL96EaWiErmoKpZe1EGv8rs3JA1eXJJI5fciQIVi5cqWu6lwpkxphrsAsHyIRKFgIMKmlJzYFAZt04bx0kSW3fRMEqIyRY2MaOwnyXHm/Je/tTDXgcESbNA2GR2OSMxQ+jevZzGyojaE65Z3k5FESYU6iK/uWCBgRAr1oP2CzshW2m1EeAABAAElEQVQxvlVHrVk9CAumPYBzcHHs13AgZxd90nzhLMyjvXwNNTa662ubnfLfTx3ClaePsazXkAy38f6/9st/xr/DP0dZiobDwtspdnhdEhpfD9rKwaZcdtJhx5oxtMlel5waPRVuRrihvhAyBiLXNX9jL5NEaOxvWM5PIvCaEPhf9XqYe+LfDES46eo5EbXFEAnyEGIozFnK84zbKF52eOzROY8iznx/eA96UEi09MKazsgd6xBMsU15vyHLiYd3sIwcYDb0HQEnWv/7bPcm4bDzVbtuIoINr0nuHvJJ+q7UW0MyVMgCo0BAeo0axWuUk5AI5DwCPYkIA6Of4SKFOVOETV4biQgHk5eoIjcD/UUkmB8O/6MzIguHMfvz2nmluThy+DUOgM2S2f2iEf1gZxYOlaaEYlPKlSOTdm3aOsHRbRS5R047E1t1Eh6tvMF+EG3y33r9olIN3qzPDj/pP4XJVCrFeBGQb9d4362cmUQAsTEpCPRPwM3LUVn6+FyL0osar9m9U6M+tmhsZzj58K5Y/2lDm+hZZlLWhvc3LRXelv4UKq01eZjeoQgymsJrgp+TJqZsXA+LjcHEf7bQmpxtlu5X+mIT7U4Khl2a9v6lFw7p9heFb5vevodWFRP2e7Ubqcv+uXUN1YuXVF+zgw9v29D8+NI+RynGjYA0jRr3+5Wzy+cIrJr3SMzAjEKf6ZOAJxS5JUH3rvIiRU1F0tvbNzJPp8P9m5kVQpVa+qOocPQXJrr/o2DU7Gjxx9WzIpA1O5fw/sB5pIX9PXgcmrtXFMPl/YCsmS3sOUA9/HKOziIMG+/VY1La7nURnhWqwII2ymflfqUjZW8fZ8XQFN7UP2bneizqOVCvww63Z630rxuXcfDDCerb/Z6Fo9ua+eprPqlZojT+7D9Kq0xeGBcCkgiN633K2RgZAjFRKWjZsRgcnNLMe+mneIdI7vE91Sb19HW1GhUFf16XsKML7607fN9HOM7sITI7SY4kLGx2ZDNkYw1nmHYVq2IDmT3TS38iVCYiJsLNdPysxVvZuj99f5rXXx3YgYaly4G9U1mz4/XBR+Q0w16gdhaqbQK/nToo1gZ30XogE7MiFej87MdfKpfyWEAQkERYQF60nGb+RMDC0gSlyljCuYSF3gnEkfkzIkx/vE29N75kBWuFvK7GJk0mxtJFVaZJJpkY0sY47igH3GZ5SATk+qJe83HsrTll3zaR/JZJ6i1K1cSZH7J6v2Zf6c8fhofgAX2OP7wtqhKSkzHu7z/wU5c+FNi7hjC/sia4d+hncHdUeZKm70NeFywEJBEWrPctZysReGUE3qvdEL+cOCC8MYdqOMlwst6KlMJo1YUTmNS6MznWRIpQZRwlJr2wtta9ah2M3bkB79ZqIMys2bk/fX+a19sGjtG8RKnvPhdriaz5sVMOa6KcaJe3THCoON7npmiK7NXKZemFAwCwKViKcSIgidA432uBntXxA6GUay8BNnYv9+vt/zieNv+mwtJa/uHT9YvEJsbmtJ/w9ON7InWS0oY9K1f0HiIyuq+j/H+co7BfncYY3rCl0kTr2L9uY0rMexqr3h0myrN7v1ZnWbyYc3y/SOpbb8G36jvYnOs/7RdxfS80GGV/mKSuU054jD2rZ9yiodTLY/5G4OX+UuTvOcvRGzkCvvcpZBeZFO0d9K+rGYLAzIwCVev3TTF0a4GpW/vecJ1zrUW5CM/RGlsI7d2zt7TW0qKufDJD654mZSogfMavWmWG7tdqqHExumlbjauMpwrJcc2lcdMzNnhR0qtmffCnIElqciwsnifADGnZPjTnn0gasnlyNBL1aMMcio630BTWU899cRg2Fn1tuN7iDYTRE4N68UMSoSYa8twoELAjT0l3D2vUbKDKj5fdSR3/NxTmRIZSXh6BVw1P9qr3v/zIC9adToWi0DRiHcUB1R1h5lZsKu6QV26gbp4UYLFpWSE7XegpIdYMtXnTIdbk/3Zdb06WSQQkAhkQiIkNx5iJ9pj+fZ0MdTe8D4i6A4fnZah7XQXPIgOweccETJ1ZBbMXtMOJM6vVXUdFBWP9n2MwaXo5fDenKXzuHFHXpdDewE3bP8fkGRUw44e6uH5zn7pOnugmwIKGiyTCgvbG5XwlAi+JgCpwcjTCInzx2PeyVi9nL27C89QUpCTnXBLg3fu/Q1zcM0wbfxp9e83F9l3T8NjvihjHzr3fkFaShJlTvdCt85eYt6grtY0UdfsOzkFA4C1M+ew4unT4AkvX9EfEM1UUG61JyIsCi4A0jRbYVy8nLhF4OQTq1eqJ85e3oIybynkkKSkB3rcPorKHp1aHgcF3ceb8esTFR6J29a6oWrmdqGdtzYRCmfncPgI7Wye0aTkKAUG3cfHKdiQnx6Mu9V+mtLbWqSLhGCK5r2Bj7SA+Nat3xrlLm0Xb0qVqok7N7rTWZIMqHm0pYYIpgkLuoqxbPRw9uQQjh26CfdFSaFT/PVy6ugNnL25Ex7afa41XXhRcBCQRFtx3L2eeiwikpj5HUlIqop5lb79ffHwqaTrakVPSDzs6MhmP7sbi0O7g9FXZvjalyDKtOhreW9ewXh9s2DIWvbrPEv17ee8VJJiYmLbtwM//Oub82h7NGw+Bo0MZrNzwAbp1+gqtmn2Amz7/kVlzFaoRMaamJsP/6U38/HtHNKjbGyWLVyFtrgs+G70Xbq611ePndaZhA9Ly1SWT5ulFJs7ePX4UbTxbfCSOd++fwpETi4mk64n7k0lLDI/wQwmXyuq+irt4IDjkvvpankgEJBHK3wGJQC4gkJT4HAF+CVg9/3G2nnbbKxrBAQko4ao7cSp3xnWVatjC2ubVt3sULpz5mpF7mYZkBk3FI99LQuM6d3EzmjUehOOnV6nntmf/LEFs7/ZUEZVriWqCDJkIWVycK2L4oLXifM3GjwQp9iNzJwtrbmy61CRCUfHiB6/5LV87CKVKVEeTBu9rVuHwiUWkaR4mrbIHEpPiEEvrmqxNWlmpNvhzYz4PIm1VikRAQUASoYKEPEoEchAB17JWmLmoarafsGz2Q4MkyB26uluJT7Y7f8kbWDtrUO9dXLi8VWha9x6eIVJbp0WETwJuIioqCF7kRMPynNzwn0U+RSyt8bGw5qcIa49sHlWkTs1uymmGY3xCNBYu702u+GYYO+IvdZZ7peGHNA4myu9+boqjJ5aQBvqhqEpMpG0CZDZlSaA+7OxcxLn8IRFgBCQRyt8DiYBEINsINKrbB4tWvQc3WsurWa0zEZP2nxJLCzs0azSQCG606JuJkLOgW7/QzMxMLdTPNDe3Rli4r/o6OPQBoqKDUb5sWpYIroyOCcN8coIpXrwShry/nPYoqvaJsvnz0LHf0br5CFhQXzyWyh6t8fDxBXRsNx6WlnYIDX9MGqTqi0ho2GOUdq2lfp48kQhIr1H5OyARkAhkGwF2lClEUQd27ZuJxvX7Zri/ZrVO5CizAYkJMYKcmKh+XdozQzsuqF6lAy5f2wnensEbtDdvH4+Hjy5kaMvmUBfnCni/9wIk0Xoke4UmJcULQuTtG4eO/ibu4W0WrK1WqqgK7da4fj/sJ89Rbuv75Bpu+BxArepdMvQvCwouAtpf4wouDnLmEgGJQDYRaEha4cmzq+FRoWWGOzu1m4DA4DuYNKMcHO3dhClycL8lGdpxQQfPT/CEzKO8B7CoXXGUK9uQTJrDtdrydg0vb9X+P96qoQhrncMGrAKvRf65Y6JwwmHtj7VD/rCwk87vy94R+wjZW7V75+lk0q2kdFGgj+lTWBVUMArRQrJhl7SCioycd75FYNfGgFeKLPPLV3cxekq5PBFrlNcIew4saTD7RF5+UayF8cfa2j7TYSaQ9siirOVleoOOBtExoaSB2lBexYzORbzp3samGG3dkIYwBbpSFYuheadCMLUwV4q0jg+uhOG6txmSQhK0ypULjhbDWrwZxWvVJ0lJSaJKXxuuHzZsGFasWKGvixwvlxphjkMsHyARKLgIMCHpIiVdiLwKASr92RLR6RM7u7S8g/raFLTyBHMn/GvniUJ6iDDB5gYSTX2QkhStFxp2nlLITlcjJcSaoTbx8brzaerqLyfKJBHmBKqyT4mAESIQGhONOvNn4MLYr1HcLntxXP+4clbkHHxdMURHbFuDvbeuZ0C5NgX93j30kwzlskAiYAgBSYSG0JF1EgGJgBoBXk+KTkygn9lfTfl010ZcJAJ9XRJHKZ4G1GuKsc1U0WqUfs0NZEFQ2sijRCA9ApII0yMiryUCEoGXQiCZ1osO3fPB4XveqOhUHJzJ3tzUVCTDTaF1pKXnjmJUkza4FxqEZLpuU0G1l9Ar4Al8gp+id80G8I+MwNqLpxBKWe5rliiN9ymfob6EuEUsLFGqiO61x+MPbut9xokHd2idsBCO07EYJecd3qgVwmJjwFnr79LYOnhUU4/t5EPVxvs7IYG4TZ82FSpTfXU1Pud9H+DAnRuIiItF9eKu6F+3CcwkGavxyS8nkgjzy5uS4yyQCIQEJoKdf6xeQ9SYrADIuRh7Dy2VlaZabRJIQ2u7dDZKEjF1q1obG6+cw7brF7F7yDiwOZTXiUrYFgVrbAfveoPbK0R47akvtnldFETYbfUCdK1SC5yrcNm5Y7ge4IfZXftoPUu5YPK6GxKkXIqjk40t7K2sDT7j8H0fkRDYs3wVMEFf9HuId9YvFKRb0q4oRv+1DuOadyDS9sTR+7ew7PwxMutWRwv3ipj4zxZ83uIZBtVvhgO3b2Dc339gQquOKGlnj19PHcSD8BB806GH1pjkRd5HQBJh3n9HcoQFGAH2GDWj+J+FTTMPffY6YGJN6WVkm9clhJAWd2LUFEF679ZsiPI/TcZB0g7fqlQdJkSE3avVEaSor/948h70fRaGVuUqoS1pi82JeJ5GqiLR6Lpn49Wz2O1zVatqYqvOGNawhVaZrovyjs5Y8s4gUdVnwyL0IW30+069xHXpog745O+N+Ig0RRZHKxt1WzsLK0zbv10QIWe2X0p9tCqvimManRgviFPcJH/kKwQkEear1yUHW9AQqFrbLl9M+XZwANqQhsWaH4u1uTmaklbHJkVNU6KhyVgSsfzQqTc+2rEWhehfp8o1MqwBat4/hjLTT2nTVbMoy+eVnEqo294KDsTQBmnk2a5CVbEW+jRKRcJMyoqwVsjm22fxcajv6o4lZ4/gt9OHwH2kUBqq8sVk6DYFq/x0lBtq8tPbkmOVCORRBOxove5xRJjW6NhM6FrEQauML1g7TKT1REXC4lT7B/m6X51GuD1hFlb3GQbWEN9ePV/sU1PaZvVo6BnchwWtXSpSxFJ77A/DQ8U6n4utyjM2IFqV15DbPwgLgQ2RvJ25BSbs2YwTD+/g0xYdcHbMNIxt3l4E+Fb6lcf8g4AkwvzzruRIJQJ5AoHohAREkkakfHi9r13Fqjjv9wBX/B+LMf5LDiRs1qxf2l1cW5uZIypBtVfMmQjmMrXjjdh87y5vlXmTt2dU/flLPCQCbeHuAdb4mAzZsUaXJCQnq8egjIWPLPqeoaufDhWr0XrmBeEww+NZc+kkGpUup3Z6OUaON4+JHJOIvHkbCK8t8qZ8JvqOlWqgWdmKwpOW+0gmrVBK/kMg7WtR/hu7HLFEQCLwBhBo+NtMradOat1JmCh/6NxbaHCO1rZCM1r33nDwehtLWzI3tl7yI9b3/RDv1qyPTbS+V2nONPA6W49qdeEd5I9i5OgyvX139F6/CJaksQXFROGXt/sKz1OtB764mH/yP/AnvYTP+FXvM9K35evx5OzCpFZz7tdg7bCcg7PQSJW2FWg98a0VvwhNtpyjEzb0VYVu+6zFW5i8dys2XztPhJ2IbrQGuurCCUHw+SV6zctshVFwUY6ZBSfLrF7p500eZYi1N4m+fHaOIGBMIdZyBKAc7JS9MHnrg2JW1HxUDO1BZM1QWUcMjo4S2xd0kQbXsQeo0lazn+ycG3pG+n54fKx9FrW0UlfNOrRHzOenLu8KjZY9UtMLP8PZNn+s5aYfe5HKFWDeuyNMLdOygWi2iTx/FYmXb8I0OEKzWH2eTFo5h1mzsNB9PzdMIAsCv2N9IdYSExMxePBgrFqVls9S/YBcOpEaYS4BLR8jESgICBSmP3i6SJDnbkPrappiiDwM1Wn2kdl5dvpJPz7NvnleukiQ22TnGZp95oVzM0pZxeZczuGoVyjLCJOZPuEvK5nVCzO4gT6YDN+kSCJ8k+jLZ0sE8hkC5X+cLNbK0g/7xuczyayYpkmlr3/d17xn8du3eoq1RM2+h/y5kvYQ3hRFTF6OtGGe1/HGt3xLvXVD372a/SjnrcpXEuuUyrU8GicCkgiN873KWUkEcgQBDrHGa38c9UVT2Gs0N4XXEqs4p22BUJ4dn5xI+whb4qPGrYmwk2lfYji+PvAXhmxZiV2DxwlTq757lT40j+y0I8X4EZBEaPzvWM5QIvBaEXCmSDH6QpvdDw0m55FziCQP0U6kibV+sdk8fVgz3lzPkVnYsebik4cY0ag1CtNmfvbKZK/REhThpX+dJnAlZ5sg2r6Qvu39sGByanEie2vGqTEpK+MrS212UXSbauSNyiHU/lejHjTvZecW3v+448Yl4ZzzdpXaYiO/0uvNQH9RV5jMgxzurYyD/uwWyj3ymP8QkESY/96ZHHEOIxDkn4CFsx7ApPDLRVnJ4eHlaPfmFiYYPbWcwWcEREXCV2PPoANFXrElZ4kbRBrd1ywQBOZGBDbmr/WY1LqziMKSPqxZIPXx9b9/wYNikvKH45S2WjKbvD0b0kb8ikRalwQpXh43Henbcpi2xWeOgKPDZIWYeO2vrmtZXKVQbkyEmvcuon6WUyg39vh0IEeYnmt/xZGPJlPc0FKYeXCXCP02srEnbpJXa+ulP+HAB5+L8RoESFbmOwQkEea7VyYHnNMITPulcq6FNMvpuWS3/xeBYQze9tH2NcILUGk0q+M7Itj0z8f2oydtheC1O5YqziUxZud6QYR8rRnW7PpTP4RToOq1fYaLlE5PyIQ5uXUXdXi0xm7lUJtSPil7DzXbcl/ZFTajpt/wr/TRlvZAfuHZRVxyIO4LtB+yjL0j5p34F3+TOZVDvbFwYO25VLaw5wBxLX8YDwKSCI3nXcqZvCYE7IrK/xaGoNw5eCzqkYaVXjiDRDDt/eP4oiypz5+DtUcOR8aiGdaMr9m5RslryCbQ4rQFYfjW1aRZPkHSi43pvB0jfVtRkM0fPI6SRYrqvItjmyrCWiFv1OcMGbzHkQlZEQ4asOHyGeVSHo0IAfk/3khe5v1bMdiy0h8uJbVd1I1ketmaxm2vaCQnp6JmA1WIrGzdLBu/NAK2ZILsW7sRhjdUBatmIuT4m8q+PM2wZvwQzdyB+2974bPdmzGHMk1w8Gu+t8rP09SZDzXbZneAHAnn9OO76qDa6e+3NDVLXwReZ4whl34OJM7rlSwceo0JW4rxISCJ0FjeaaHncChmhk69ZNBf8ppHqTK568VoLL9GrzKP9pTH70+KssJOJZx6ae7xA/j3zk38M+zTTLtlkvFwchEZKrgxm1lZOKxZdiXxReg13hzPa5k/Hd1LG/dt0b1qnSx35U5ONhUpgDY70/A6ZyA57OymUHAjyBtVivEhIInQSN6pqakJrG0Lo6SbJABHZ3NY28hf7dz+1R7XrD3Ya7Tm3OmkOdmDvUvnd+uXpWG8V6uhiPfZ+Lf/E6HMmFTL2BfDndBAFKXUR9mR2cf2gT8ceNuFzK1tKLzbX90+1pvgV1ffvAdxRe8hGL5tDdZdOo14ikHajwh+OG3NMCZJfa47jmt25phZCLXM6rPzrJxqK0Os5RSyudzv4/uxOLYvFANGu+Xyk/Pe4141xFrem1H+GhEHyubg1UV1hCPLbCbhlGzXlsySeSnLewite9pbWmeLSDObZ16ptxMh1t6CiYW5ziHFXLhOIda8YRIYqrOew6tx1Bh94dP4piT6feDoM6YaGT80O+P6gQMHYu3atZrFuXouvzbnKtzyYRKB/I2AocgynFGeSeN7Cr7NuQX1CWeI2E6JfIc0aK7VhMmzF2WKZ6eUaW3fVtdxJgsObv3vB+NFYG6uYJPp/9b+hpGURf7tqrXVbdOfHL7nIzbUh8RGUcLfymKdkKPNZEfYzGusYk4h1tghiclMrxCJMVnpEya5zOpZKzTUhgn1TYokwjeJvny2RCCfIWAoskw3IiT2uMxMTjy8i/WXT2cgQgtyWplL2SY6rvyFzJlVRHojP9pWMWrHepEJnrNTsHBiXM4gf/LRXRFBRt/zeH2w/6al+KZDT+HE8zsl0B385wraEjH2lYN563umLM+fCJBbgRSJgERAIpB1BJTIMhy9RfmwVhBM+QQDop+pOzrv+wDfHdqNiXv+xOoLJ4UWx9ogb5bn7O9Lzh5Vt1VOapdyw1TKOj9y+1o8o317H2xdhcH1m4H3+inSbtls1CpZGnWorSFhbZDH92GjVsIL9NPmHUS+RM1gAIbul3UFBwFJhAXnXcuZSgReCwJKZBkmFP7w9gSW45TA9h+f6+KcQ6IN3Lyc9gYWQVWXUvj11EH8H5GiqUlhkXqJ1wBLvMgAL27Q+DG2WTu4U9QYjuTCDi9MjJpy8MOJ+KpdN5hRX4akGJlArc3SthNx7j3elnGX9ghKkQhoIiBNo5poyHOJQAFEYMZYHxSmcHL8sbA0wfjvKhpEQV9kGc2beDP60ncGodWLWKPRifE4ev8WrM3N0ZLW6s77PUSP6nU1b1Gfs3Y5sG5TjKAINqObtKEYpNrf15U4ouob9Jx08KiOj//+Q2ieb1ephcVnj4iN+pzwV4pEQBMBSYSaaMhziUABRMDJxRyDxrqhiL1+BxdNWPRFltFsU9/VnQjoCH6jdblbwYFiY3152peXFQkgs+nU/dswpH5zEe+zA22lKEcaYmbSfc2vpJ3Gi2ZjmrZFr5r1sajnQHzz307w+iAH8W5Uuhzcijpm1pWsL2AISCIsYC9cTlcikBsITNizWWxCH9+qI+qVKos1l06JDemZPZu9Fz+kvXudKtXE3G59EZuUKK73Dfss0+0LY5q2EcG7+RnVKGg2b6yvXdINp8dME49l70j2bC3nSFkrpEgENBDQtjloVMhTiYBEQCLwsgg8oFRKnBC3WdmKtDL3XGyW50zoLNZkNlWCaafv/yfaCM8a4Q+de4mq2V3eFemRfjjyT/qmGa75eV3Jc5U/rEHyM5ovmiX648YcJaY2Odlk1bSa4QGywGgRkBqh0b5aOTGJwJtD4LMWb4m9f5sp5Fo8aXWc5oiJiDU+1tYiE+Lg/sMkPJj8o3orA+csnH/iP7D2x6mTWDgw95L/DRLpnThCjJIJIisz4+0WU8jRpvPKeYJ8Offh8l5DsnKrbFPAEJCRZYzkhcvIMmkvUkaWScNC39nebbRul/RcOMf8tzMYn35bIUfC8wVHR8GZwpylF95gzWZPhfDS17/OaybfqMQEdfDv19l3fu+LI8uY9epAkWXSvGs15xR7kSLLXPGhzZu6PW35PTK+hckLWJ8om+X1teH7BwwYICPL6ANQlksEJAI5g8B9n1hUrGoNewrUbmbBHqM58xxdJMhPYs/Q3CBBfpYJeZ0qGTD4WkoaAqaEDW8peZ5JzFGFzNLu1D7LrJ5bG2pjqE77STlzJU2jOYOr7FUikKcRsCtiiur1iqC0uxXOHgmHpXXWmDCrIdYMTV5fiDXNe3yCnqLzqnnCdKqUc6b6BafIdHrLS+QW7Fe7sUgIzPXc5y+U7WIXZYhwdygmskTwmqEUwwiYFDLBqwY34y81hgJrZ1ZveIS5UyuJMHdwlk+RCBgFAjkZYk0B6AhFhPl45wZ1Ql+lfA450sSTJ+jBDyeAQ6/1Wv87apUojZrkAMMZIm4G+eMQ1d0kEu27cQmuf/qNWGNU7pdHiYA+BKTXqD5kZLlEQCKgE4GcDLHG0WlG/7UeE1t30no2axwxtKY4odVbsKesFjVKuII3zG/zuijaHX1wC23KVxEZL5qWrSBMobxpX4pEICsISI0wKyjJNhIBI0aASSYlRfUpRPM0oQgzhkQJsaa0cbCyodRJFiLEGiewZYLiEGvjKKrLBNpHWNLOXoRY4y0VkynJLYc+0xdirXpxV1z+ZDpCKR2TprB5bWHPAeoi3iP4HyX9/aZDD1E2mDbff/vf37AyM4c3aYYORJaN3cqr28sTiYAhBCQRGkJH1kkECgACUZEpWPz9Q0GA5hYm+Iw8SA1JToZYy0qKpGRK2TOCgnJXcSmJPpTQl8WVgmszWW69fgH3woLQs1pdIltp8DL0HmVdGgKSCNOwkGcSgQKJwNQ5lbI175wOsWZoMBzge+DmZf/P3lXAR3E9/wFiSPDgbsHd3d2hOEUKRdpSKBQK/19dKMULbbHSIsWhuBR39wDBg8QIECFADPjP94U99i67d5fkIpe86edyu8/3uzSTeW/mO8KiXNn7Q0MMIgi+v2rWkd6rWF3k12u9eKZgkfmYCbylSAQsISAVoSWEZL1EIIUgEBXxmvZsCaC8BVzI+/5LehaEZKvpE+Tp4kqxZm4xyF7f/Z8/qCRzls7p1NeQxd43JFg4z7RxryC6g6S7JW/PnuQ0UB+bG1DWSQTeIiD3DuQ/BYlAKkEgggPoD+18wkowjEJDoigs7E2CPXlcKdbMLQjbocWYJ3QK0669ZMcZhEyEceb0PK4cBpIlm9gWRf9gLt989QJznBYyN5yskwgYEJAWoQEKeSERSNkIIM1SDs400fa93PTYL4Lc8jgl2APHhWLN3GIu+T6gPbeuiibrLkd7iuKmd6Wa9HuX/rS851CafngX/Xn6MIdYRFJHpnRDBgopEgFrEJCK0BqUZBuJgERAIPDoy1m6SHzRpK2hrmWpcoSPmmLti8bR9bk4Ie/Vz34QFGtwcNESEGM//fpXQ1VFziIR+M0cw73pBTLbL+05RFiJmZinFGwyUiwj8OrVa3IhJ3JM46LZOOINsw69SkOOLtr1YISJZKvcRaceg4aFhYn34cS5KLUE/R2ZiD0pRSrCpERfzi0RSOEIJDbFGki6TSUy4hU5OKY1ONaY1qfm++wRWaisVyVWRDFxAy5ejwPJN9yP/MN8zMIEZacn+GMHfKLm2kAZJqVIRZiU6Mu5JQJ2hMC8aefI40KA5or7Di1PdRrl16yLT+Gx/Q+pQlU3cs2iTQptbuxTR3xo/8579MArhFzSO1ClarmoQ4+SlDW7tnVjbiy9uvt3Q2jBjPP0w5xGtGnVDbaOXlP3/qX1mie78nRMsZbjRVZycsygubbHERk1y9WFUHTmKNbUbZPrtVSEyfXNyHVJBJIZAv2GladI9jyF/DHtLFWslpvqNSkg7jNkSpitraXzL9OPcxqLOWLz4+Rhb1r91zUaMLIClamQk56FRND65Z605I/L9On/RccexmY8vbZvXr9hSydKVEdFvaYoVoRS7A8BqQjt753JFUsEkgSBTK7vzngcHNJShowOlC2HsXUV+iyCzhzzJX/f51ShihuVreRGUBC7Nt2hxq0KU8a3CvMhW2k+D0OpZv18zGrzmq5efExXLjymPPkzUv2mBcVW5lG2Bl+zotm3w4uatytKWbI508nDPnTvdjA5OKSh8lVzUenyOWJgAevkn4VXaNDHFalS9dyiPodbeur3YXlayorwScBLwr3evNc9nlCatGno+pUnhGdu0rqwbtsYk78twLqtWatef1meuAjIE+XExVvOJhFIFghEhL+mAN9w8uFQCvXH76H+WY+lhd+9GUSTPjpA/j7PWWm50OK5l2jPtrustNKykgsQClIZY8fG2xQcFM5bia/o+8+P0t7tXpSvYCY6cciHZnx3UijAzFmcKA3/BwUIxbd03mXCVmmRElnI0SkdzfzuFHndClKGNHz7soKNCH/FW6q5DGW4yJDRkYaPqyqUoLl5r156TPNnnBPK3NIajSZQ3Vi7VlUXeZmECEiLMAnBl1NLBJIKASeXNHT6cBCBUk0tuO8zPHq7U11uzfXmNTepdsP81HNQWdE8R04XsRXZtE0RsYV6ZN9DatSyEL18EUmXzgZQL253+ogvb1uG09fT6wtnllrcf/TA3UJxQpHxERZVq51XnBEWKpqZOvcuRVlZycLiunIxgB7ce8aKMavR8ny9QylzVihP42dTNzI3L9rlypORhoyqLLpA+eqtMbPO2aW1a1WvSV4nHQJSESYd9nLmBELgwd2XdOpgICFTvZR3CGCL8pFPhCh4/2PbB5v7sQJq3OrduOUqu1F42CsKCgyjanXy0srFV+nxoxfkefkJb2lmF8oNSqtsxZwGj05n53RUskx28vPmrdWq79aOK7Tbvv42wUEl8MlLVqhR9IqfyVTy5Msk5oTV5+honGcxnC1FzGFuXoyXt0Amw7Dm2uopQmvXaphEXiQpAlIRJin8cvKEQGDkpKIJMazdjxke9prmfn8nwZ4jfQYHVnQvDeMH+L+gdLylCWUB66xa7Tx0+qgvYesR524QeHPizE4tAX7PKVvOguoiggKb8r/j1LRtERowooI4S/zlyxNGbZSbvPkzCQV43eMpledzSkWeh0by1u1+GvZZFbPz4pxTbU1au0ZlntisVekjv5MWAf29g6Rdl5xdIiARsDMEylfJRQhZgCKBNXZ4zwMqXiqbQanUYyeY4we9yfdBKHucRp/flWer8c6NIOEAg8e9fO4RBT0Np2Ilo7c7Yb2FvYyiF6zEnj+PpIbNCwlr7YHXM7p/J5gtwpg0cUgj1XtwWfpzzkW6fSNQuPbDEl2x6IrYRoUDj6V51dDHpi36xWat6nnkddIhIC3CpMNeziwRSFEItOtWnAL8n9OE4fsJ1mGuPBlo+Nh3+5sly2QT4QXV6uYxKMfCxbNQL1ZaU78+ITw04fE5cnxVyp4zOsAbSuv7z49wWTXhOfrTxKPi/C8jO75Urpmb/HxCNTGs36wghbLyXDbfgwIfv+QUU2mpcvVc1J9DQCCW5lUPaq7ts+DorWZ1e3jSwsvV2rWq+8rrpEEgDf/Di/knVdKsRc4aDwTu33khCJX7jTTeUorHkLJrCkNA2Rod+2OJBH2ycI6rQ6JfeGmqBb9q/vfJQRrxeVUqUDizuopec3tYknByMRWM58SWIQK3wRKDoHXTsU37qO+xJZqet2C1Eg6bm1c9Bq5j0xbt47JW9EtMKVS4CjWsMYEp1LSZZW567iEPr2308pm35rJAsYaPHn0aOkVERP+xoNcGrDIDBw6kxYsXa86RGIXSIkwMlOUcEoFUhICzS8xfK+dP+dO5E77kljtDDCUIaKCktJQg6tTjIWwCH2sEijfiVZQhdlGrj7l5TdvHpi36xmatpnMl1v3zjC9oT5HjlNb5XYyoeu4XgTco9FEYvXoS0/JV2uEPFEXZKWXqb4V5xlybcM4zmZQizwiTEn05t0TAzhAo+NM4uupvzDt587E/oRyZ4/UEDCzZcqSnDz6NDknQa6eUv2ArAmM+j4j9L8jbTx5Rv1ULqcTUiVRq6iTqtWIeHbjtqQxNTRdMpSNeNw33WhfTD+2iiTvWaVWluLIwxzB6qfOJSJe0HKCJBXbMP90Sa2Y5j0RAImB3CISyYnr1xjhk4TVbXig3d8ZSlT1G8bFW3vBoYkxzg2oMdj/wCXVaMocGVKtHU9v2oMycFWHd5TM0YO1iOj5yEiGrxdfNO1JpN/Nr6VCmEoVHRVOnaUwji1IYAlIRprAXKh9HIpAcEIDV+O+VcwRS5z6Va1GhbDno8fNntN3zMlXilErrPc5Sek69M6h6fU6sm0UsGSmb1nG5b0gQdeJ8gmpB3xUXTpJXINOwcfu+lWtTfk7Gayq/HNpJtQsVp88btTZUQSneD3pKJ+/foS7lq9KdpwFUNFtOuhB8n26wNduj4jvu0RXnT1DV/IXpyYvnnCYqnCpQNLnAnptX6eDd65wY2I3al65Eelk1DJPKC7tCQG6N2tXrkouVCMQdATh7PAuOovPHg3Q/l04HW5zg9AMv2nfrmuEDBaOW7/duoT6rFlCODJnI51kQNVrwC2H71J8V3Ve7N9IXO9dRoazZyYOVZZelc0VXZJzvtvx3OvXgjrDaRm5cbhgS26P1/phMj7h/nUIl6KLPA2r392zNjAdnHnpRe7bmTOXLZh2EEkT5vBMH6C4r1CzsIPLZ1lWG7denrPw+376WcmbMRIfv3hBKG+3nnzxI47avoQJZsvNzPKJOS+fQK04rJCXlICAtwpTzLuWTSATMIpDOMQ3lK+zCrC36524O3MaS/Hn6EFtz75wrkBFekWfhYTTryG7aPGAU1StSQhQHvXxBM7kMGeODw17SDy27ULUCRahLuariHA9lezn7/NMXoXRo+ATRpyArSpzzQdB/QqO2NLhGfXFfq2BRqjT7G8Jc6vyDyHl3i88HC2hYiqKjyY+ibN3BOt167SL15Ez3G9gabVy8NCtCV6OWk/dvo/ld36dWpaJDL2Ye/o/8ngVrWqRGHeWN3SAgFaHdvCq5UIlA/BBwckpLH35eJH6DcO95rBQq5HnHR3o9wI9q//ajGBeOKtjyhLJSpFmJMvQPbzlCkD0eW4+Q7Bmic92FsyK99siXFWdJUY4f9fka3oYQbIHmzuRKQ9b9TVf8vSnydbRTjqlVhqz0xVm5Yfu0OitatcDidHFwNIyp1PWtUofWXDotFOFq/h5Tv6VSJb4fBgdSCCtcrEeRMQ2M2yjl8tt+EZBbo/b77uTKJQLJDgFXZxfeaoygx2zdKeLFDizKeZ5juuh4QKVO+XZjK+x+0BPllq3A54atz103PGjM1tXUkc8NYWluGzhatNPyo6mSrxDtV3mIKgOO+Hc5jd6ySrk1fOMs8oz3Pd6SvUv3eJ0tS0YThisNMrDlizAMWICKHL93m3z4HFNKykFAKsKU8y7lk0gEkhyBIuyEUiJHLvrrzBFxjgaFga3HuoWjt0n1FtigaCm6wGd/Hn7eQvEsf2tBoj0UacmcuYQihJPK8vPHxTCRGuEak5q0ox3XL9MffA6Is8VQjk9bcpbTPPHW64TGbWJMn5Et1I5lKtMnm/6h9ypWJwdW1GqB1QrrdyU76mDrFQ49/VYvJHjKSkk5CCT41mhwcLBZ1oGUA2XSPklYWBgnQNWP40ra1cnZUwsC6Xh78s/uA2nI+iW07Nxxwvlhb/YaHVKjAV3l7U89KZMrL01v35O6LJtLzukcqGbBYgTrEdKTvTrXcwhErbk/UFreLm3OVluhrDno5hN/yu1qzFAD79TlvYbSlAM76OcD24m1qtgmXcRrQuiElvStUkso17/eG6xVLc4HB3H4xaqLp8iFt32hbK09h9QcUBYmOwQSnGItW7ZsVKVKlWT34CltQVEZ85Fbsea0fvbAlPZo8nnsFAGEPGR1yRDDyjL3OLC64DyT7e35obptIHt1ZuKtV0VBquu0riM4DhCKWO1Qo9XO2jI8DzxhlbNLa/sl53aZ3PkPjq4tKK1LTGo7rPvlWQ+KOHuVyP+x5mOAXg2S2yX6vFer0dPwl5TTkXNIptV2xArlMJWPhnxIU+b9ptU9UcoS3CJ0d3enffv2JcrDpOZJLvs/pL/PH0vNEMhnT2YImHpfmlteGPNNOjswHyhblFpKEH31yvXGdeLx8LGVxOZ5bDVnQo/jnM6RoMrMbvUyYbmi8LTW4+rgRPuqddCqEmXDrh2kqSXrUGZupyUb/O9QxrTadVrtE6LMdv9KEmJ1ckyJgEQgWSLQddlvwmHk2IiJQnkpiwSd2VGvW7R90GiqkPedZynO86pwyAO2NLcPjnZ2QZ/1l8/SIg7HuOz3kOBogxAFhErkzRwdZK+Ma/r91X8bCZ6gU9v1MK2K9z3CJcLYmvy2RScC1Roswcltusd7XDlA8kVAOssk33cjVyYRSJYI3HkSIALkEY6w9/Y1ozW+YMsOVh1YZdQCT86n7An6gpWXImsvnRHB9Z/Wa0E3P59M/30wVsQGjtq8Qmmi+42QCyirhBBQq0Xw+BBQrfVhFhspKRsBqQhT9vuVTycRsDkC/1w4QYgN7Fa+Gi0+fSTG+O1LV2RFeN6oHMHqrUtVMJQhJGHcttU0q30vau1eXgToI4h+Bt9ncHISlGiGxlZcnObwhx/3baXPt62hv88cJVigIO6exhYdtl0VAfPM5qsXxC3KwRqDPngOLS/UgOeh5BcaHToBT1ivp48JAfUTd64Xlq8yrvy2bwSkIrTv9ydXLxGIFQK/HNlJkw9tp1nH92h+/jh1wOx4CGJHKEH3CtXFBxYhgs7VgmB2EHODCg0ChYNsDy1UMXoIwod12PItW4vSH7RnS3p8ICjYlDJL3//duEL9Vy/ioPvMVCZXPppzbC/9wEoRCnXLtQsinEIZA56kgWyZ4jlA07af1w92mQ1XzoosFUo75VtNtYaQjL5MHRfOqZ2ypc9AnZlq7YpJJg6ln/y2LwTkGaF9vS+5WolAvBC46PeAGhZxpwI6oQSOaY3j6Ewn28sco44c3lCP4wLhPdmoqLuI0/u/pu0NTdNQGkGftvHqeaqUryDtvnmFGhVzF84wSiOQXUNxWesBqvTT+gaTzQJmu2nIc0BCI8Lo4J3r4rrfW+YYkG37PwsRxNuLuw9iHtFL5M0KfOfgMWINvZhirdS0SaJedNT50ZQt4S8atxW1h+/epDMP71K53Pl0Wstie0FAKkJ7eVNynRIBGyCQPX1GalSkFJXOaT4Nkd5UCGZ/w9begDV/iibeIYF0iZXr+EZtjJRaV+YRHcixd0h5tN7jHL1ftQ4Fhb0wDIuge19ma8FZnzOfNaoFW5qw5qyVavmL8BbnAZp7fB9dD/Bna+8VFePxIe+x5frdns3MY/qc13GG2rhXEOEU1wJ8xXlkjbnfG6aBhQpL1Zw05MB/RWAVylRNChr2/S0VoX2/P7l6iUCiIfCEz8t2Mt3Z3E59RXygMvGwf5fSNrawOpd7Fy8MSxBUofAgPedzTwTZb2ILURF3zgcIZxtYVQiQVwQE25XZuxTB7U2YAFsR5BlcyN6l3zNhNwSOMvAyheCs0T80hMY2bEVV8xWmJeeOCTYb1GVlZdWiZDnC3OAS/a5FZxSTq5MLlWVLbtP7n4h7/IBSxpjYVtUTrFlKykNAnhGmvHcqn0gikCAIrL50iioy3Rjy97UsVc7w6cFW12J2JDEVZJcYy0qqFSsiMM6oBfdTOCRh+L/LCI4ucJ6Bsvuc0x2BlFutBNEP1GpwaMGZHGjTkK7J3S23GBIplRB2ARo3JPQFC03UW2JuNOhbpbZIvYSAfMWiQ5aJ8z73xQfW5z3mOa3867cEC1dK6kNAWoSp753LJ7YTBHDWhfM2WzKZRLCjxxt2FImLgP8TiXRNpR9vezacN0WEVKjroAhnsIflrA691MWGa/RDSMUYzgkIhxsHPp/E1uWs9jGDs5H2aTwn2+3KFGxgnoFC61mxphgLGSMm7FgnLL4w3t7swETa8PAESw1COZrw2SGy3fdjhahgCUq32R16U5+V80XaJVC3TW7VlQozV2pqEvzhEF95bWmM+E8R3yVa7J/gFGu1a9emEydOWFyIbBA/BBRmmemtbR9gHL+Vyd5xRaDF3zOEhQNiaFsJrKBp/G+kR/nqthrSJuNgSxTbkqaWo+ngURwWATLtLLzlaSogxI5t5ngoS2TKyMWOO6lRXN2Lk1P3lpROh2It9PQlpli7QukeB2nCA8YZB1Z05xr01qxH4bCLe2hq6bqU2TnmO0P9Bu8blLFtQxozeypuk0SkRZgksMtJJQKWESjHoQAfVm9IZfnbVvLJthVie9NW49lqHJzlWSPIDqGlBNHXVAliuxUWsKkzjnoeWIypVQkCByf2AEYoyWtWaLrCmEewA5OeZAB1mjlyA3CMwio01yYyYcgR9NZsWi4VoSki8l4iIBHQRADxgCWnTjTUIRMDMjoMqlafBlSra9h2NDSwcAHvUHcOWfAc9yPZ0upFcuCvd2+i4/dvEyzIOoWL0/BajUX2eSyp8fxf6EfeBq1XpISFFRpX1/v9J97m7U01OOmw+tq4lbyzRwSkIrTHtybXLBFIAgRwnoSztm2DPiXkHQzhs7pLzBE6lpPmImv80JoNY7UqZTw23GwmcLjptGQOK+Z6NLVtDw6VcKF17DwzgEM5jo+cJBQ3wiRecwhIbOU59wNRAER9HdtxZPvkh4BUhMnvncgVSQSSNQIIhIcliE9pdjpBFvehnH+wL3NyKvF/V9m7E3yj6dKkZa7OWoQ8gRCc461jujVfTtiL7PBqAbn1Bo45hAdndz7DPMmeoeiLNEqwRhEWcYsD8cEe058dbbSC8X85tJNqFypOn7NjjSJQiveDnopgeQTWQ+BwA0JtOOu0L11JWI0ox5nhGlacF/ksFcQBYMNB0mBzorc2PM92z8uCuWY9PzMC/+FslMc1ixjO3POCzxVeuiHhYUxNV14QEqDTEQ43SctbjQg7ycGpqobE8o8Pc8+RmuuMfZpTMxLy2SUCqQCB208D6KeD2whnhVqfz3etjTUK9YuUFHn/bjz2E32/37uF+jAVGXL3+TwLokYLfhEepcgW0W357yL0AUp05MblhrmwTdqFM1pgOxPW5siNy+ir3RuFIrCWDg2DgUu0PRNlm8qXzTqQogRRN377WhHHCCWOZMBKIP2oLStpBVPIVeEQDigurOm8933T4Qz35tbmz0ofz/DFznWCMs6D/zjosnSu6GvueREi0uLP6ZxdI5IKZslGHzFOS88eE/323/EkJAm+w+/xEY8vxTYISIvQNjjKUSQCdoHAlJbdxDph7WhJOkTBx1Lg6AIrEVZXcWZ0mXVkN20eMMpwBgeP0Jlc1pzpyZ6yh+ah4RPEDCDZ7rdqobje6nlRxAcqWeJLc8B9R97ihJijQ6tVqJhogx+w5m7x+aA12eM/rd+ChtVqJPoeYDq2s973OC4xj7De/sd0cbDaMB4o5Tw412eV/IUM86gvzK0NSYRhef7AJADVmH8V4SQl+IwVZbuYmADxkFrPC0u1c9kq9F3L6OD/0m556aNNy+l9PoeFFMvuRvOZUk6K7RDQ/r/BduPLkSQCEoFkhECF3O9yBNpqWXBIQQgClCEcVWBJ1WKHEkWQqeIfjkHMz1ZgPbYeFYElqcT1YSu1QdF3ddjehEcjxBwdmloRwgO0OCsJLw6wB/G3WmCNghVGma9UzuhgfLSB4oRygjTmmEPEPl7yfcj5FgMpmLcmI1/pnyeaWxuUXyYOfQFBACQ7b2VCwGBj7nk9mf4tgLdVlRRXSJrrxzypyhpLxZEeT0wuf2giIBWhJiyyUCIgEbAWAVhULpwJHkHq+AX+nLc5oRiVszAvdmDJz8rGLaOryEKhjBvE53MIcYCUz5Of/jx9WKniAPunIvQBBebo0Awd3l5UyVeIM0p4iswY6roR/y4nZLaY3TE63s2BlaapYLuy9eKZ9GHNRqIdlGXbv2aZNjO6N7e263yeiXNMRfmqO5p7XihPkIAPqdFQdIEiBH8q1g9xZqyl2BaBmP8abDu+HE0iIBFIYQhgSw8eoz7s8LLzugd9xjRqI2s3FU4tON8DoTaYXXB+hjZbr10U9GdwOrnAqZk8/LyFAgRTjSLgA73o+4D23LwqLJ9fj+5VqkTYg7V0aJOatBNpl5AyCYH3WOuSs0d5i/MqTWjcxjCm1gVIwbGNO5Cda7BNinViTYhF1JO4UrWZe15wr65hXtQXkeHC+WjhqYPUe+UCvSXIchsgIP+0sAGIcgiJQGpCoDE7v0BgmRTOmoOGsuXycd2mogzMMH92H0hD2It02bnjwommN3t+DqnRQFhG09v3FM4pzrztWbNgMYPnJ6yd3zr1o/E71grlhXyHECe2qGJDhwbv1OW9htKUAzsIuQdZ44pt0kW8JjjomBPUj6jdhJovmiaC7LPymtq6VxTnjnr9zK3NXK5Cc887qm5zgtdohZlfsyWdVVjSoINLCHlD+tu+1s4XZSkUxYbhMdauKbbtJMVabBFLpu0lxVoyfTHxWNbo7atsziwTj+XEuivCA7K6ZCCwwagFTig478r29swMdeAavclbiQrZNjLB1/ztB3o4cRo5vd0KRL/Y0KFFMJNJGJ/HIfwiNoJwCCTfVbYirekb27VZ87xiHbx+PSYda9ZlqU3ekm7k1rkGOaXXtom8z9yj8PNX6WWQdn0UY5zu9Rs617CP7lTDLuymqWXqmadYa1WfxsyZpjtGQldoP11CzyrHlwhIBFI8Ajn5TFBL4NSiVoJok5NDLVpsnMaenI2F0w2yWSBAX1GCaBNbOjT0VffHGOYkLOwZubi4Ehhz8ImNxHZt1jxvXNYRmzWjbaa0UVT52S5yCtf2Fk4f/ppupnlDgWH628PpQbHGfzzoCijWWFnqtsE5sTmKN92BbVchFaHtsJQjSQRSNALPXwTS+K+LUs7sRejbiReMnvXKtf/o98U9qFPbb6hlk9FGddbc4Jf+toGjRViBh783fVK3GXXQiAfEWHCwmT2vA5V1b0Ytm44Rwwc8vkNzFkbnKlTm69bhR6pUvj3/jo2itZvG0/lLmyi9S2bq1nEyVSgbHXAfFRVBq/8dSyfOrCAowsyuualJgxHUruVEsZV76NgiOnNhPX02cocyrE2+Y/O8NplQDmIWAakIzcIjKyUC0QiEhIWJXHWuzrbLBGEJ20D2qkRQdXIRKKDw8FB6GvSA7j84T4UKvkvEe/LsKk7v9IpesWKJqxTL4UYj6jSx2H33gdl0xfM/KlWigaGt1/2z5OKciXp2ebe9lsstOhxj595p5Od/nSaOOUw3bh2mBUv60veTPChrlry0ffcUuuN1kiZ8eoDy5HKnO/dO0rzFPck1kxs1qjeUlWgkRYQ/N8xjywtrn9eWc8qxtBGQilAbF1kqETBCYOuNizT7+B5CRojEkqMPblM790pU7W0cWmLNa2meqhU70+nzaw2KMJK9G6/d2EvuJRsbdfUPuEUnTi+nl2EhVKlcOyrDFhzE8+YB3uZMR543DrDCySksML9HN+jshQ2coCCMqvD4hQpUNhpLuXnoc5mOnPiLqlYytv4eeF+gUsUbUPGidZSmhu+DR+fT8EGrWPHlo5rVetK5i//SybMrqVXTz+j+wwtsHbahAvkqiPYYo0eX6ULhGwaQFykeAakIU/wrlg9oCwQKZclO7UpVpK+axEwaa4vxtcaAs0z5RFS8Uw7voO03LtPBD8ZrLcdQVqNqD/pn7Se8xfiTKPO4tkMowYiI6KB0FEJhTZvTnOrVGkjZsxWixf98QB1af0kN635AVz33CGWGrc3Xr6PIx/cqTf+tFVWv0p3y5i5Ns/5oS2N4K7JgfmOqNCjcP5cPogG95hOUm1ruP7xIDg7O9PPMhvT8xVNqUHeI2KKNYosuMOihsPaU9rlzlSRspUJqV+9Nf60YQi9427dCuTZUslh9Uaa0ld+pAwGpCFPHe5ZPKRGwiEB+16w0oEpdi+2KFKohstzfe3COChesSqfOrqa6td6nw8f/MvTdtusnodje6zxFlOXPU1YoQyhCSC63EjTk/aXiesnKYeK8r3e3meIelltQsG8MRbhhyyRhWRYvWjuGIox6FcHtK1JjHuPW3WO0ghV1xgzZqUypJuJMMX36aKJrTIDrR2ytQqB8sQ16+MRiWrT0fXFOWK1yN+rX83fKoOojGssfKRYBqQhT7KuVDyYRiB0CYEBJy9kiLAnaVa/6Hp05v05YWre9TrBSW2akCL39rtKzZ4/Ig51oIG841iw4xJdevAwW97D8FIH1CAcVRSpXiGl1X7uxjy54bKGPh/5L2EZ9yY4tz0IDWGH6iC3PcR9Hz4MxcmQvRDdvHxHrwzYuJCLiBTk7v6U43l1jggAAQABJREFU43NOV9dcohw/3Es2Eh+EQHg9OENr/x1PC/7uS6NHbDW0kRcpGwGpCFP2+5VPJxFIEARqVulBf/zVkwryWR7O2NKZkHi7OLtS3Zr9WcGNFPNDEb5m703FynLkbUxFnJwy0NPAB8otBTy5K5RcscI1DWXePh6Uhv/7bWFXURb8zJ/jE53YIz+MerEVeOzkEj7/6yUcZtAAYRBwhkmfPrO4fhJ4n/LlKSP6Pnl6nwqw9Qhv0i++LcEKbxvlz1tOhGdgzh5dptIM3qqVknoQsPznX+rBQj6pREAiYCUC8BhNw9bjlp3fUy1WQKaC8IQTp/8RHpfOrOj2HfqN5iyIts5M25Yr3UKENiA8A1bZ6g1jyeveGaNmzRuPop++um74VGNnmVbNxlK/HnNZITrSqXNraM+BX0UfKNVT7MVag61WSK1qvWkXe45CaT7wviQ8TiuWayuUd4lidWnZqhHCqxRtYbHuPTTXyPHn9ZtX9PJliNEH65SSchCQFmHKeZfySSQCcUYAv9jXXTlL5XJb7xVbg63Coyf/ppLsaWkqrZuNI/+AmzT+m6KUPWtBsRU5oLexg4vSp0XjT8mbt0cRo5iF4/iKFq7BTjVDlGqrvnt0/oXWbpxAx04tFdulzRt9QqVLRtO+wUkHluSEb4oLb9WObb7mLd3oZLuD+y6m5Ws+oh+n1xGhEshcX75Ma0K5Igiv+GRCduVWfH/7xQXKn6+8UZk93rzmkJf4SoSlMRBMn8xFUqwl8xdk7fIkxZq1SMWt3ZF7N2kfJ0VNbK/RD6s3pLKJ4DmK1EClf/2SupSpQjPa9IwbSBq9YIXhkyFDVo1a46Lwt/F6ylmeca11d7AqnTmeEFaiqTx7FkAZM+YQW6Cmdbj3f8RZ33MU0eyr1T4llBUpnoEatYwkJydtZhlPjyi6ce0NPXlkTJOnPPtrZoRxSpOOztXvoRTF+B52eT9Nda9LmTmrhpZs8L1NGVvWozG/zdCqTpQyaREmCsxyEolA8kYATjLIKF8xT0HdhcaFWcbR0YXwsUasVYCJySxzllllEPqhJd9NvCQcc7Tq7KUMZ7Vv3oTzR1sR4jlQ88oMBRqI0QWFmt5Dg2INYs4yBM1aEopUhEkIvpxaImBPCCQ0s4y1WCQuswyTb/N27eej9sVYXpbMeWKUyQL7REAqQvt8b3LVEoEkQyC1Mcuk423WbFnzJxnecuKER0B6jSY8xnIGiUCKQgDMMmcurDM8k8Is4+iY3lCG2MDJM+px/N5LA7PMoWN/inowy8xb3IuD2m9ybKGfYJaZ+mszCuGQiCyZ8wpmmQfeFw1jKRdqZhl4oqoFzDJ+fMYHZpkvfyxP/+2fJaqtYZaBhbli7Si6fHWHCKgH2wx4RhWJjAoXsYuIX1Q+CMGQknIQkBZhynmX8kkkAvFC4GVkBC04c5AGWmCXSW3MMk85BhGKWi3gQv10+BZ1kby2YwSkIrTjlyeXLhGwJQLINr+9/6cWh0xtzDK5OYvF9//nYREX2cB+EZCK0H7fnVx5CkcgNCKcPB/7UYQZjz1bQRDJLCtBYS+sHk4yy1gNlWxoBwhIRWgHL0kuMXUikD19Rtp75xodd7yd4AC84qBo/9AQq+dRM8v07/FbjH4Ks0y9mgM4mN5N5P27fGUHTRh9IEZbMMsgBRP4RtO7ZBHMMmXdm5OaYg3MMvgospizUORhvtK2LSaIIjDLhDC3aftWkwRdG5hlBvZZKOoUZpl+vE6c8SGXYduWXxgxy6Btntzu2swyjA2YZUwF1HCm1HKmbeS9fSAgFaF9vCe5ylSIwC+tuifaU0ey1en52D9W86UWZhkw5JgyywAo5DhE9gop9o+AZJax/3conkAyyyTsi0wKZpmEfSLj0aEIO62Ya9UZoXFP83f2xCyD1E+ZOFGwFiuN+ae039qixTNSo1ZRzMajHUBw9VIE3bj6mgKfxGTqwVMjtjQdB8qfaxCTb1ZBZdjFvTS1NDPLOL/zKlbq8C2YZVrUpTFzp6uLE/VaWoSJCrecTCKQuhBICGYZcwhmzJBNtxpbtObERYeazVwfdR1CRZyctH/Zq9slp+u0adMx0XkYM8foMcu8YXJ1Ypq8SN1lOyHzSJQZzlIMAOIYvTYgME9iEnOpCHVfr31VBL18QZf9vWnOiZgMGPb1JMlztR6MbcCLZ8lzcYm0qrhQrCXE0hKTYu3QsUUcM7mePhu5Q/NREKe4fvNEuuSxjaJTPZWlGlXeozYtxmu2T26FUITxlXSWcljq6dj4TmzD/lIR2hDMpByqaDY36uBekQpnNWbJT8o1paS5H7MSfMlZ0FOzpE6KtUiRSkrrvSNzw6Kl/YWDzYcD/6GC+SuR1/0z9MfiniLbRv3aA7W6ybJkiIBUhMnwpcRlSQWyZKNPahsH/cZlHNlHGwF4cCL7hBSi1EaxpvfOr3juphu3DtF3kzwoU8boP0CLFalF7/eaJ1hqiAbqdZXlyQwB7RPSZLZIuRyJgEQg4RGI4nOakPAwixOlNoo1PUCQp7BU8YYGJai0Q+hIn+6zlVv5bQcISIvQDl6SXKJEIKERwLbno+ch9PHWf2hptw/MTpfaKNb0wPDz96Rs2QroVctyO0JAKkI7ellyqRKBhELAycGBLoz82qrhUxvFmh4oCMB/4H1Zszo84gWZEoNrNpSFyQIBqQiTxWuQi5AI2BcCkmKNqHDBaoSMGmFhz8jFxdXwAs+cX0cr14+hyV/dsLtwCsNDpLILeUaYyl64fFyJgC0QUFOs1aoWM5haoViLCH8uLKN9h36jOQs6a04NirXzlzYRwjNe8znl6g1jyeveGaO2oFf76avrhk+1Sl2oVbOx1K/HXBEAD4q1PQd+FX2eBj4gUKzVqPqeuFco1hDc/8D7kqBYq1iurRHFmp//ddH2xctg2ntoLrmXbCzu8eP1m2iKNdCsKR+ss2K5doQsFAuW9GNat4ciuPzm7SO0jsMpOrX9RipBA4LJ/0JahMn/HckVSgSSJQKphWINTjGmFGvffnGB8ucrT0MHLKd/1n5MP06vzbkXX/CZYUGqV2sANagzOFm+M7kobQQkxZo2LrJUImCEQEqnWDN6WBvepCaKtWehj8mVKdrsSQqXcKWGrdOQo7M2hdr1C8HkeTUNPQ/UDryHZZz21Ws617C37mMPu7CHppapp0+x5nOLMrasR2PmTNMdI6ErpEWY0AjL8SUCqRgBe6JYy5olb7zelL0pQTxsqGNuOpS+EqXVUYQhLrcp2NGbXoX76mKTKR0r0cgo3XrB0cZ8pLptWJkyx5t+/0SokWeEiQCynEIikBIQ6LbsN5p+aFeMR7n7NICKTZlAgS+ex6hTF9T7/Sc6/eCuKGq6YCod8bqpro719YoLJ+nx89RNexdr0Ew7pElHwQ45KcjBTfPzMt07JyDTrso9vIjNioVqs30TqVIqwkQCWk4jEbB3BLqUq0pQPqay6uIpql+kJGXLkNG0yuj+eWQEvXrDf/2zfN28I5V2y2NUH9ub0VtW0kszZNCxHU+2T70IyK3R1Pvu5ZNLBGKFQGdWhF/sXEdnH3pRtQJFRF8E4q9kRTizfbTnKM6M1lw+Qxd97pMjZyVoUbIsNShaKsY8d9iKLJqNz9NYd8Kqg4L1CnxMeVyzUN/KtSk/UwaifLvnZaqUtyCt9zhL6R0daVD1+qLNivMn6BXPteDUQRpRuwnly5w1xhyyQCJgLQJSEVqLlGwnEUimCCAzxuMXoeTq7BLvFSKTQGVWPFqSydmZupavRmtZ0SmK8KjXLRE20KSYu+gyiq20+0FPqV+V2nT7ySPqwtupuz8YS1XyFzIact6JA1QsuxvlyJiJ6v0xmd6rUIPqFCpBG6+cE0rx/KivyT/0GX21eyOVyZWXuvG8++9cpy5L59Lxj/6PcmZ05aOnNJQnUxZySqftyGE0obyRCJhBQCpCM+DIKomAPSCw6Nxh8n0WHG1hxXPBLuz4oKcIMXT/KnWoz6oF9EPLLhy/l45WXDxJfVnppU0bfcoC6+1/TdsLqw3W4d5b18jD/2EMRagsE+nDJjRqS4Nr1BdFtQoWpUqzv6FnbzlPg8NeirmgeLE1W2LqREJZy1LlKC0rwo5lKwulqIwnvyUCcUFAKsK4oCb7SASSEQLFOAVXs2JlOA1XpQRfVQ1WVDkyZGLrzJPqFi5B265dpKMjJxnmbcyW4YzD/9El34fkExJIwazQItm9Xk+wBZo7kysNWfc3XWHLNpJTG0Gw7QnJ5ORMVfMXFtfZ355BhkchSax9JcAVDyB/JFsEpLNMsn01cmESgeSJAKzCdZfP0lZWglCMSAEGeRERQa0XzxSKcnbH3nRx9LdUlrc1zcmuGx40ZutqYdltHjCKtg0cLZqzs70QR7Y6LXolvm0rvyQCcUVAKsK4Iif7SQRSKQI9K9WgPbeu0upLp2lA1boGFILCXhC2OgdWq0fu7BHq4edNF30fUMQr/Rgzr8AnVDJnLqEI3dgyXH7+uBgv0oq4sgyOToYtVMMi5IVEIA4IyK3ROIAmu0gEUjMCcFSpx9uix+/fptbuFQxQwHMTHpzNF02jXJkyU1aX9NTWvSLdYqcZPelZsQatZ+ebWnN/EGd+zdnLtFDWHHTziT9l42TI5qRp8TLUaP4UWt5rKLUqVd5cU1knETCLgKRYMwuPrJQIRCOw5MIxmnJ4B+XPHL0NmJxwQShCm5LlaW77vsliWWEc2xfOVmAWVoTWCoLxM7HXK7ZCYyPPI8IJlqHcPo0Nau/auroXJ6duLSiti/O7QtXV8zOXKeLsFUobEKgqfXf5ii13xzdp6FyDmMTrSqthl/bSVPe6+hRrvrcoU9uGNHrWL0qXRP+WFmGiQy4ntEcEBlSuS/gkR/n1xF6beIza6tlcON4Pn9iIpWB8vbEysjONlLgjgNCTVxwLCg9fXeE2kWaIC5wcnMxTpCnMM3rb3Tz/mwg4QCWdyDPCpMNeziwRsDsECv40jq76+xit++Zjf0J5lN4vOqPWtrm5wmvYx6EZ5uQ+nz+WmjqJ7nGgvpas4y1ZrBufQpM/p/IzvqSe/8yjM0wYoCegmJu4Y51etR2WJwL/WSJMEV/gpUUYXwRlf4lAKkIglLciFZo05bFf81/0KFc8PZXyhPyefWQ3VcxbgJqWKKM5DcIvhv+7jAKYnQbr0xI45CB8Y0P/j0SbAA7gB1lA56Vz6MjwiVQke8xMEh3KVKLwKH3nH615ZFnyR0AqwuT/juQKJQJ2hwCsxn+ZJQZMNX0q16JC2XLQo9AQ+u/GFcrOcYhnvb3ow5qNaPv1S9SkWGnR9hErrfalK1G9IiUMz4v2+29f4/PGDCJwv2DW7MJiu/bIl56+fE7lc+enxsVLG9orFzNZUVZiRXnB975SpPntmDadgZ4NYSBgwME6v96ziZb0+ICO3L3JZAFp6DB/5+A4xjK58tGLyHAqHpGLfj+xnz6u09SwDQxL0ickSHjA3nkSwF61pyiE4yhbsyNPo7fMO5qLkIVJjoBUhEn+CuQCJALxQwAKxOdZEBNQR8RvIO7twIqha9mqZsc5/cCLYD0p8jDY2JHi+71bBDfo8FqN6eojH2q04Bf674PPCE40oEwrmTO3+OB86g+mWlt06hB1YIaYbOkzCGvswLAJVC53PprFymzZueM0vHZj8mTF12zhNNo7dJwIsgfvKJxxoCBN5bz3fUHVtmfIOFpy7phptcX7BkVLMinAbtEOxAEI6WjMyhpW5uPnN5j6LYQ5VMvRlmsXqDjTxHUpH43Xzwe2EyxGbNt2XPKr4EwtyMr1o43LaXyjNvR+teR5xmwRkFTQQCrCVPCS5SOmbASq5ClIt54+EtZHfJ/UGq/NP08fYgJsdpB4K2GC6SX6BtRoUGAIjlcsO8QWwkIbwYoxkK+X9hhCuV0zK93F9uYXjduKe1heZx7epRI53GjKgR20pu9wA2k3WGd+P76PJrfpTkWYsBtbo6Ycpgjq/2jTcvqjc3+DpWaYyMqLUjnz0MPgp4JDFV3AiTq/6/ui98/7txtG6cfEAms4lhKK0P9ZCJ28f4cWdx9Eo7esos5lq9B3LTuLtqXd8oo1SUVogC7ZXUhFmOxeiVyQRCB2CHQrVy12HeLZeh4rhQp5ChhGuR7gR7V/+1Hcg2gb1ho4QxVpxud4/3C2CEhmtuLUShBlDVXZKWAV4gzuHju6QMF+snkFmgiBkgWXqTn58r9/qUaBogRv0luPH4mzP4yF2EdrSclh8eXmOEglJAOKUUveq1CdvtuzmZ5y6Md6jzPUhmMq8XyeAb7ibHIvb+lCcEbpx4oSHKmxCSnRmlOWJQwCCa4I/fz8EmblclSJgEQg2SEAZfOcrTJkw0BKJQjYY+CUAtHKFOHiEDPUAjGFkPX9RlJe1+gUS2CocXYw/ysLqZzu8uew1w3RH0p1FCvTX9r24OB/64Lud9+8QtWZ5FsRvTmzstLGFummq+cFy853LaItQPCj9qpUk4bUaCiGgCJ8xdasVIIKosnvO8HDJzJnfrcFkvweX65IIiARsCUC2LIskSMX/XXmiDhTg/MIOElB0B0bAUsNzgkX8zjYrsWn2/LfaSmfGUIyOGnTq61nD9BznMJJ+cA63TTgE10lCA/YELbUYK3Bmp17bC9t8DhHnzVoadVykXkDKaVACKBYtmDHwZYpnGqwzoWcM7H3ygVWjScbJQ0C5v+8ssGaMmSIeZhtg2HlEBIBiUAyRCAdp2P6s/tAGrJ+iXB0wfZmb/YaHVKjgeAejc2SF3YbSEPX/03lZ37JlqAj1S9SkobyOJAGRUrRiI3L2EszmOZ06hObYY3awvu08M/jRRkstvJ58tPaviOocr5CRu30bpCHEaEjyL+obKWOqtuc4DVaYebXbAlnJTfelp3dobfeECm/XDt6JVk9t6RYS1avQy5GIpByEECG+azs1Ym8hfERnMFhy9XUkSeCtz2hfEzL4zOXLfsKqjn+QyALb6EmVwHFmiMo1jjpspa8OHuZXp29SnmCX2pVc4qtVxTF3rQb23TUrEfhZ8cP0P9q1KLsDtqUe9vu3ibnjg3oq+9n6I6R0BUJbhEm9API8SUCEoHkiQAcVGwhSh5C07GcLJwXmrZP7Pu4UM0l9hqd0jkIirU3vEWsJ+3zFafvi2pbyKGs6EfeP0Iz/s9Xrzvd+zSSFnz2mJxctdWN15YQqp85TLd/YlRorywxZpZzSAQkAnaFACyckpwhXhFkpc/OGSLal6lIXzfrGC/LD7F3/s+CRSgFvFC783ng5THfKVPF6xvOMv/yuZ+pTGn7HlXjpL9xmQuEATj3uzj6G9NhCTRssIYR5mFJcJa4hc9Ql/UcYqmprE9ABKQiTEBw5dASgZSEAFMji/OwbYM+FXF8CDBHaMJIPqvL7JyePm/UOs6Pq6ZMg6PM9HY94zyWaUco8PcqVqdxDY3Xh21bOMvEZS54giLzhZbEhoYN/Ky2IELQWocssx4BqQitx0q2lAhIBBgBxNhBWUFAedaTQwWQm1ARLXo11MGTVItODdRkaso0xCiCyLtlqXJiyNMP7tJ/HNKAwPxyTKkGT03lXBCxgpuZ4SWct+hAz1aBg+y1JJOTi2HN6vonz0MNc5nSqQ2p2VCw4YCd5havB/Rq/avWMcyNcU7wc2+6cp4KZMlOg6rXF16iATwmPEYrUIEYFG0Y86LPAxFygZhDmT1D/TaS7loqwqTDXs4sEYgTAuERL2jBkj5UMH+lOPU318nBwZnat5xkrolRHSyaI143qSXH00H06NVAq6ZHp4a4OzVlGijjph3eRR/VbSq4SbG1Oa5hKxFPOIfDGxAn+G2LToJ2rcuyuYLFpSQHvSO8Yn3/kUbB/spiQ8Jf0oOgp8otIXbRLZMrqecypVODxdvu79ns9ZlJKNlVzB26zfMiz/GRGCco7AV9vn0tDWYFuJGVIeIJdzGV3OG772jYTMc8532Peq6YRx+w9+sjpqlbeXGP2J41LExeJAkCUhEmCexyUolA3BFA7rinTx9Q0wbRv5DjPlLMnunYecKSjNm6mvk+ndjqiaSzbM2BRLtXpVpkjl7t9879xLDIFmFKpzagWj0jyjRYh4pAQS5gJpuGb0mrQyPC6OCd66IaihUcoMpZXN7MWQTVWQUNIpiVF04xsfd5ZViqV7g4reg9zHCvXKjp1LZcvUDezKO6c/AYYQUiSL7UtEmCSg2WHBTl/C7vU1mOd+xRsQYVnTKBjt17Zxlrjfn+6kWirYIBzhJBHi4laRGw/K8+adcnZ5cISARMEICTSsaM2alc6RYmNYlz26JEWcrF1hS2J79o3IYq5y0keD0v+Nw3S6+G1SlB57hW6NRwrSfV8heh+ScP0FzmGL0e4C8YWopxwD7kir+3sKyUvqA405NhtRoZuD/12qBcTad2janSoNxrzP3e0OUFE5vDmacqO9kAAyhBCBRj1XyF6dYTf0Nb5cJoTFby+KNBEeCxkS1JKUmLgFSESYu/nF0iYHcItC1dgYq/VUbqxVuiV0NbLTo19Rim1+O2rRbZHsby1igUDc7rwFQDAfG3NzPXKIIEvI/5fK6aih5NqbP2W02n5srnilB0m97/xNAdZ5F4Tk9WhiFhYcIqBIkA5H7QE+FF68tB/mpRjwnliXaKgIpOStIjkOAUa0n/iHIFEgGJQGIgEB96NT3KNJwHtuJ8fqBog9fqek6cG8W8nZCmnIcQZ3ZwosF28aSdG+gcW6W2EuQ5PM/j4YP13WMFVvnXb1n5BoopwJoDJx7IzusewqPWEpVck+JlRO5FULrhs5m3X6UkPQLSIkz6dyBXYCcIhIWF0vMXT8nJSZshI7EeI4KdZSKjkjYAWetZzdGrabVXl6kp00bWaWKoGlO/JU3YsU6QWofxtiTyFsL7FIpvRO0mIt9hhZlfCccXxAQOqFrX0De+F2Vy5RXUaH1WzhfZK9Iyi83kVl2pMPOpevh5s6doNt62PUjIePGE2W+QqikHO9aYkzH1Wwgv1Wq/fsesOCRo47D9mlSCPy7iK2n0Y/HjO3Si9ZcUa4kGtZzI3hHYsXcqHT2xhHK7lUjSR4l6FUl3vE7QnCnvttiSdEEak8eFXs0cZRoSAcPLU0uUeL6ECkWA0sUWZi4OG9ESPCuIBXB2a61A+TlyEmSwzySlZAbFWveW5OASne3DdC2hpy9SB+8w+ipzcdMqcR/KYSIf3zhExbbrZ/Y4MOoc1fqhLKXPrD3H7c0PqVGWVjRt7GzNORKjUFqEiYGynCNFIJAnVymqW7M/tW0xIUmfB+ETcxZ0StI1WJo8LvRq5ijT9JQg1qGnAMGDCc/O+CobKDg9JYj54/KsOGdMDuIIijXG6DWnuNIS2IuRadl0jdSu531qes1aJOpNpFZ3UZaG0ohtbb02sEr16nQHtXGF9X/C2HhiOZxEQCJgfwgU/GkcIWBeLQh+RzliChNLQMm279Y1zenuPg2gtotnUf6fxlKhnz+nur//xGENtzTbxqcQ6Zv+PnPU4hDAq9Ksbyy2i22DFRdOCiq32PaT7WMiIBVhTExkiURAIqCDAFIOgZZMLaAbQ3n8T5vUo5q/BiXb1UfGClnp0Yc5QKvkL0SXR39HN8b9RO/zuWGnJXM4gD1EaWKT7yNet2j5+eMWxzJHx2axs5kGo7esZHo2fUvMTFdZZYKA3Bo1AUTeSgQkAvFHQItmDYrovxtXRAD+WW8v+rBmI9p+/ZIm7ZqyArTff/saZ3fPIKjVQOlmSskG705FwCt6gy3URd0HUW7X6DO94bUbc8jCU/JjUm9sccLZpnah4swGc47SpklLXctXJTDfKKK1dtT9efqwYIFZd/ksB/Jz/B/39+Ux4TCDOEWcFcJK82JP1zyuWahv5dqcjzCbMqwmHRsqYUnvu+0pnrMEr6N/lTqEbWL/ZyHCwxTrh2Crd/bRPTSqbjNax96z2NJcwEl/4TSkUN6JhvJHrBGQijDWkMkOEoGkRSAqKoK8fa/Q/L9tn+zV0TE9De672OwDnn7gRXBeUeQhs6+oRY9mDUrqq90bhdKB4nHigHw92jVkp5/FVt8yzkgPReDJgejNFk6jvUPHMauNMSWbem6cB3YqW4X6r14oFEoTVpIVmbv0p9ZdDc0w56wje5garZ4ImO+45FfBHgNvUL21Y72/H9/PCYIdRCjHs/AIypEhoyAVyMPKFQ479f6YTO9VqEF1CpUQShJK8fyor8W8enRsEXw213TBVMrL3K0g6wYDznpWtFsHjmIlG8SKb7d4fgyCtj/u2yqULs4lkYsxT6YsAkfDw8mLOCEgFWGcYJOdJAJJh0B6l8z06bCt5Joph80XkYYtJEvy5+lDIphdaYd4OkXM0ayNqNWYAjnmb2mPIQZrDf20aNdK5HCjKQd20Jq+w6kBs69AIjl+8HdmmAGlGmIWKzLBNrZATWVhtwG05Owxwdjy0/5tBHJrZJ4Y8dayQvv3KlSjTzmUAXLzySO26g7RxCZthfLdPGAU1StSQtQhRnEmK2SFIg50cLD+IFCKp5lirlO5KoKKbUKjtjS4Rn1RV6tgUao0+xuhaFGgR8eG2ER4pB4ZMVEoNijSYr9MoL1sBSOzvZ6AkBzhHB05nCQuzjp646bWcqkIU+ubl89ttwjAi7FIoapJtv55HC+HDBGKgHKs9m8/itvbrFTADwpFoEgz5hf95/wJcQulpGxZKvVatGtI7wQF+wkTbisCJVspb0HlVvcb8YxQSPjAUtvueZkm7lzPqaJcxPYqOqq3U+sXKcltLpGltaOfu2oLFfeKYAs0N4d3DFn3t6B+g9KGQAFC9OjY7j59LLaGYd1BELhfh7dt4YBkThGKxvKHzRCQitBmUMqBJAISAUs0a9gONRUt2rVMb8ML1vcbKbJOoA+2BtV0Zabj4B6epN/t3UIHho0X1QitQC7Cy34P6eSDOwZFiPM3RaCM8vKZnqW1oz3CDbRk1w0PAhn5tHY9aHLrbgQHmdLT/8/gQKRHx/bYOZROcZoptYBNJ3/mbMLii1B54sKahrzhsaXYFgHL+yC2nU+OJhGQCKRgBOJDs6aGBc4fOCdczI4tIPfGB2mWlvKZIUSPkq1mwWKE8Inv9mymQGZ7gSCbxTa2+GD5KbLe44xIiAuFCCXWjInEY7v2DGz5KqwwXmzBlsyZS2xVIuZR8SaFgwtEj44N1vLph3cJhOWQ3UzZBq5S8KViyxNbs8i5CIGDjFoyMNeqMr+6XF7HHgHtP29iP47sIRGQCEgEyBzNGmjJYiMLuw2koev/pvIzv2RL0FEosqGcxw+ipmSb06mPYdhMzs7035CxNHLjcpGxAuwtsCI/rddcpD9SGoZFRVGV2d+Kc0fQsnXjM0PIn90H0pD1S4STDpRX78q1aMjbOZW+yjcIuZHnsMjP44VTDHhQa839QVhyzUuWpUJZc/D5oz9lZY9XPTo2ULL9zGee7TnvIdJZwdpb1nOIaI95PuTzyAbzfhasOu04uwa2lhVpyryljeZPoeW9hgo+VqU8Nt+vTUJhYtNXaZs2WtcrtzG+bUHjFmNQGxdIijUbAyqHS7kInL+8iXz9PJOcWcZeEI4LzZrWsz1lyw7blrAK1WKOkg3tYI09YUcUhDKopSYrq+m8hVk5XyHhcQklayrWrh2KC6mZFHYbWKHY1jVdqzK+Hh0bzhKxVi0Gm9DwcNEdSt5UcAYKy1A5YzStt3QPijUnMxRrz5hirZ1POH3jWkxzKFCsfcQUa8W3maFY+/QtxZqrNpvO7S0PqWGWljR97K+acyRGobQIEwNlOYdEIAUigHAIWFt6v4Rt5c2YncMUtMQcJRvaQxmZKkH1OOZozqxdO55dUYIYO5vOWpV59caFJa2lBNFPSwEq46nnVspi840zzyhWwq/MUKy9gh+PGYq1N6xFouid57Dp/AaKNZ02sBhfvdGhcDMdLIHupSJMIGDlsBKBlIoA4twWcQgFHFCgTJAmCaEDyBCfnOU0O6V0XfabsBR7rZgvtjCV9WI7FdkmEBz/r8c5kTW+E4cmIFhdUcQrOS4QYRnPeDu0a3kOv+DtVgcTK1UZT37bFwJSEdrX+5KrjQMCd+6dJkcHF0oXz19a/o9uUejzx3FYQcrpsvbSGZq0az3N6diXGjG7ChLhfrNnE43iMIe1/UYk6wdF6MXJj/9ntEbkMETYRJFsOeiI101ayEwt//T6kHLyed2YravoN45b/LJZB7rPzjAIwdj1wWeULX0G6vHPPJGcuDPHEEqxfwSkIrT/dyifwAICy1ePoNycOcLJKYOFluarweaCYPbUKjgPQ8Z4BJe3do8+EwLl2Yz2vYQiBI1ZIb5H2qI17DhykT0hsfXWgh1HEBSP87Ed1y+zN2h+2sBWVz62ID9gR5Rj927TnltXqV7hktQageK8TQiBBYfEt/CcRJ++VWqL7c4jd29ymzR0mL/B7jKkZkPCOeLGK+fpFis1zAdGGVPBVqqaigzW36G71+nAh+MFQQAU4ucceO/ulkd0BUfp2G1rhCKEkizFMYRKHWIf93KohlSEpijb571UhPb53uSqY4GAW87i9F7nXyh71ndB4LHobmiqOMsYCuz4YtX6z+iy507KkD6r0VM4O2WkcR/vNipTbhA4D8eQlrwVqpYs7Mm4pMcHhqJRTAYNpdiPFReUSxfejtz9wVjBn/m//zZSZbbMQIOG7VUor5zsOdmiZDn6fPsacnHoI5hmwDEKK3Ncw1YijnDOsb2E+LpvW3Si/Xc8RXhC42KlRcD6WWZ36cqhFX3YwxPxgCM3LqNR9VoYMckYFvf2Aorta6Z7W9NnOBViaxAC1hi1gAe1XO68ogjhFeD5/IFjFHGWt9XzorCK1e3ltf0iIBWh/b47uXKJQJwRcHMrRh0Kf0m1q1vPVwoy69ysBPQ8IpXFYAvyf03bC0cVWIewnDz8H1LV/EUIqYsWdB0g2GVAEYbtxtvjfxZxgWCT2c2WISjXwE6zgBlsGhZzF8OGRoTRwTvXlSmoWHY3kREeBT3++YN6VKguAtlxj1CFTzevpGFsKSrWJcoVATfqwDWL6ZvmnQzjK3XK95pLp4WSBrcpxIWtSTzXBibazsZJeKH8C2Qx/iNC6Su/7Q8BqQjt753JFUsEkgSBEjlyiWwL4RxfZxpy8CIiQigzLKwxK68Zh/+jS74PySckkIKZGi3yVTTVGAizFYo1OKEgaB7B8RB4QD4Njg6Cr8ZKc/7JAyIW8HqAP1t+r6gYz69IqZzR25e4R/2g6vWVKmrG8XVIC4XMEOrsD2gAT1cQcoOrU8nqYOj49mIuW584G9wy8FMqygoX8suhncIaPvvJV8JL9le2Dj9gOrU9bxXl267yy04RkMwydvri5LIlAomNAM7HQIeGszm14Ayv7Iz/cRohT4JCbL14Jp/dZaLZHXvTxdHfUln2xlTE1JqEVaglOIvE9uVoJsY++dH/0SfsoammFlNTrWV2cRFbsco4YHnBPFrhCJ+xA0w6Jhaf2b6n0tzoG9kn/uJkuzsGjRFKWqk8+/AeteWAdiVUpA1fn+MzUIU5Rmknv+0TAakI7fO9yVVLBBIdAcS6TWEWlOH/LhOOLFBM8KbE2V7V/IWFgwrSDUExDuTzNihOsMlc9H0geEJjs2CcByIso27hEhxl9oZTE53heDdtCpMWfH6HejjMwFpdcu4o1SxQNMYW7gJ2jsHWK5x9wplZBtu0ygc5AVcwMTi2RNex9yusVdQpFGZ4PmyLoh22e0EiXiFP/hhzxOYZZdvkg4DcGk0+70KuRCJgcwT2HpzD52QO5OhozOrhce0/KpS/Uqzn61e1joixQ2gBztocmMIM1tGs9h3EWPDKROxd80XThEWWlc/S2rpXFN6cSjolayYdU78lTdixjlazYgpjB50OHNOHhLpQQqYylh1qoDgrzPyKKchcqGg2N/q7x2DTZrT52gUR7lHrbaYMdYOl7Owz7fAu8UxVf/3OUIWzSp//myFSNE3ev50aL/hF8IZWYVaaRUwBZ+/yygYUa+ksxMLbA8WaVIT2/i9Zrl8iYAaBCx5byb1EI8rs+u58Dc3fsEKJ6y+oUbxNiQ8sPwTUw1JUyw+tughnmXBmK4FTiVruTJhiuEUuPXwU+bxRa+VSnOHhHA8JgEFiDfmicVvxjbg+teBs8a/3BouUS2BJMZ1TabuVz/zMCZStnuA5kdwXFiF4Ss2xveiNkRzLQe1mTFwXc5Xam9fv2tkmF4alWd7NlxBXUhEmBKpyTIlAMkEgS+bcVKNqD8rtVsJoRZFRYZQxQ+wS+8LRpOTUiYZxkA0eFuCgavU59KCu4fwMDVCHj7Vyxd+H/Nm5BR6jalGUoLpM7xoKEbGKYzkdEuIPcUb4LXuG1i8anXUCv/Qnc6LedR5nydXJhfqzdQtSawgU3JccToEsFchbCI9SEGebCphkMsWTmMF0zKS8d+I4T+0N53ersqToXlvQIqBYsyyWZrE8QnxaWHiE+Awt+0oEJAIpCQFYkPDG3DboU5GyCGdol5hmDYoHiWiHcrhCXGU2Z4FHxnlTRRjb8X7mrPZYywl2sIGzTfd/fqcb434SWRv+OLGf9rFDz76hnwuFCbo1JMGtwPP+yp6iSIa7a/BnHOB/iz5Y/7dw0jHHVRrbtcn2yRcBqQiT77uRK5MIJEsEEEsISxCf0uwRiuwHQzl1Ud/KtUUoxKJTh8S5oRK6sIEtsJLMyoKs9lBO265d5OB6R8EAgxyBZzggHjkDn758TuWZQQbZ42F9Ljl3jHPx+TMHaD5hvcETVItVRg1SWW7btnQFEYoB9hcH3rZF4t1K+QrSHycOiBRHcITBZ2XvYeJMEf1x/ojtVfClIiXTFl4j8v99XLeZenh5nUIRMN7cT6EPKR9LIiARSDgEoMyQu+/GYz8xyVyOwXsQ/NQw4aqLp0TiWSSfHcKxd+5ueakw5+rrt2qhUGyILYRTCs72snDuPmxhtuP8fPtvX3sbxH6Weq2YJ8YDq8ygtYvpDifffcTnh6YyuEZ9Ech/8v4dGr1llehfnr07Yb36hASJWEAE03dnJpoH7OxTOFtOEQLhzXUlVXGKJXK4EcIwpKQOBKRFmDres3xKiYARAo8CbpOH5++099Aco3JzFGtGDVU3WZmEGlYiaNWQ409Pbj8JEJZYU7b4QGtWjUMSQK8GyxHZ4bE1WiV/Idpy9QJ5s5LaOXiMCE/oVakmlZo2iaDcIGpWGb25/jx9mHlEb1C70hU5E30k+fH5IyxKZK7/hK08KOphG5bQ0RETBfsMQkHUSW9xfYctSSmpAwGpCFPHe5ZPKREwQqB3t5lG9/G5gaPJY04qC2VoTrBlufPGZao+93thfcFLE6mMTOVagK+I36vB7RQBxym4TiFqVhml3vR7QbcBwgGmGYdxYNuzE2eJQPD7OCbVhjcqBMw3qy6douG1Got7dYJdJLx1YyUtJXUgIBVh6njP8iltgEBY2DN6/OQu3bh1yAajJc4QAbzesJchCTrZAeYABRcn8vlB4CUY9ZZSDfcIdIek57PEXzv2oWntetKuGx40ix1kEB4x3YTlBR6dZZl6bdP7n4h++IFAeYQwTD6wXSQDNlSoLqDokEZpIHuxgrYNHp7Ytj3PW7KgUwOLDdItKQJHGFixsP4wNuIi3d9mnsC2aXleg5TUgYBUhKnjPcuntAEC6dNnoZesDC9d3W6D0RJniCdP71Poy0CbThYaHi7O3OBBCqtq/I61NLJ2U8PWYi6O+zv98K4IW7jKYRFXH/mI+XFWiC3LHYNGU4+KNQghE9iyhEBxKSwucJZBKAMUWL0iJYQjDWjbDg0bL9rq/cDWJwi+I1ghgprN/1kIbeLsFmMatBTbot04me4CduSZ1q4HPeE8ipt4Cxbk4JDu7CAD/tDprKSRymkfj/MZB/VLSR0ISEWYOt6zfEobIFC5fAfCx54kKNiHcmYvbNMlg10FAr5POL0MrdGQvSubGuYY36gNDV73F/119qjYLm3C6ZIgyBCxm+P7qvz6rVBMGR2dDembGhQpRSM4fZJPSDDN6dSHZnfoTX1WzuczRFdhyU1u1VU4thgm0bn4riUH8+/aINI0wcIbxFRv+EAQ6A+i7EqzvhFZ5vuwlys8RCFYc1923qk0+2vBRYrg/RI5jUkIREP5I0UiIBVhinyt8qEkArZHAFubgd8YO9dozdKMg+LvcGqlQA6HgCJTy5/dB4mzOlh/CGFQBAqpQ5lKhqB8JOHtzU4yOHtUk2ebssoo/ZVvZLP49/2PxXYswjrUQf0YZ8vAUYIRB16q6gwa2CZFyiUE5GfnNEta6ZuUOVLSdySz/zgxTV46tqa1JIIL0yHW3VFHVaR5TWmZYs0hjT55AuJPsV2u1yYt8X9ptOfXWlNClOk8XUJMJceUCEgEUgsCoF0zVYLKs2MLU60ElXJkkFcLlJFaCarrLF1rja/0gZernuitWa+9vZfjPYHM/BVvJ2sJdOArEMNE6hCKRjEJOQfhRb2J1OouyqAEoQz12rwm/u+N9vy6g9q4wvhfno0Hl8NJBCQCKQuBYlMmaKYeuvLZ94Yzwrg8MdI3uXOIhOe4H0UwvHoMxP3t5awREKRBysjniUjy+x1nqy+uiv1T97HmGrGFGzzO0cDqxpnprelrbZslvD2Ms8gN/T+ytkuitkubJq1FijWLC0oB0ehSEVp8y7KBREAioCAAB5llPYcIlhilDN/wuoyPKPRtHM4XQ8KiImhwjQY0jHlBEe+HbdWfmDN0wJo/6QjHAcZVjnjdEmeJCakI4ckKJS8leSMgFWHyfj9ydRKBZIeAG5/7gV5NSxAqsZE9NeF52YJJq5uwByhEixoNoRMgwPZlVpdOZjI/oD8UrXpOOLc0mPez8F5F+MPpB3cF0TYyYpRjmjacMWIL9igru3Rp04jQiFPcBhRsINtGnOBGzi+ILPbzOU8hlKwerduj0BD678YV3s7NRGe9vejDmo3EmCsunGT2mceCyQb0cgqlHNYrxb4QSAFGrX0BLlcrEUhMBKLYmgoO8afAIG+rPkHBvhaX58dhCQ84/k75IJwCcvahl/AIvfnEn5VDZhrJXqDg94SYUqO95AD5bkxzdurBHaHgRm5cLtpZ++Mgxy6CiQZKEEqq/+pFwkMVvKRzmED7h31bxVBoB0q2PTevijjHWUd309SDO0UexRzsrANlmYedaMzRuiEM4ysO55jNff1ZKYJAoN4fkwXFW51CJeiizwNBCQdrVYp9IiAtQvt8b0m26ieBD2jHnimUN3f0X/pJtpBYTHzv4TkKDX1M2bMWiEWvlNH0NSdexfsyTcyr93ROnMB3SP+letWiHNRkaq/Knzi0ARbYlIM7RIjE5NbdRLsCTJ326eaVNOxtVgo1NRqIuJ+yR+ih4RNE24JZswvuUb2JkTn+HFtj0DVX/L3pEXt3/tG5v2gOD9AFXd+nhsXcxX1oRBhBASriyF6R87ge8poH2MqE2ohbbFDUneMdvQTrjDlaN3ifBrKlubTHEMrNCh70bxMateXt2vpizFoFi3LYBUIywuJ1TioGkz+SBAGpCJMEdvud9HnoE3rofYlKFE04BwNbo+OQzpnds1PnP/WRg9fYGk7aNOATdlYpHGPc6wH+NKh6tHJAZbPiZUTaJmw/QtTUaMg2UY9ZXxQBAwwcYfQErDVt3SuINsghiC1OKCVINXacmX/yAIHsG2t4xV6QxVRONA04C4Ui2dhjNIJDBkzFHK0bstHD8lTmwxZobiYNAIE4lDLSPkFgVUqxTwRS528H+3xXyWLVzs4ZKWeOolS7eu9ksR5rFnH+0kbKkFH7TMua/rKNdQhkdnERlGVKa2RvwNajEgKBAHxFcM6IlEyKBHHMobmtRaRw6slxhVoybttqsWU5tmErqpqvsEjfBKtPERdO+aQWrR1Mc7RuUNpO/ByKgB5uDOdgBEMNrF9YmaWn/x8HCEixVwTkGaG9vjm5bolAMkOgRYmytJ5z+MFhBtygS84dpZoFigplaLpUWGkX+GzNw89bKMDl50+YNrH6/i47rLQqVZ7qFi4h4tWwBsTGWZIMvKWqpnUDpRs+2Da9F/SEKjMDjndITHo6KPiSzDrTkR183NgyXH7+uJgKHqJa8oq3pxGqof68ltajFlRJVvbuT7QkW4KcWCIgEUgJCMAig1KqMPMr3kp0oaLZ3OjvHoM1Hw1bnSDb7rJsLjmnc6CaBYtpKkzNziaFY5gTdMKOdbSazxHD2AkHWS2QccKSsgGxd0j4Syry83i6O2GKLq3bZeZTVUtP5kmFsq019wdB/9acvWMLMdUcnISU7VN1eyQeLsxzqAXpnzC/lOSBQBrejkhQi7527dp04kTc/9pLHjDJVSgI+D+6SVt2/cAOFUuUomT//cfintSz6/RU6SyTFC8HoQlRbPEg0a4lgbIKZmspm4puzVIfvXqEY8BCi43g1586/RLWY0rrpjdeIFu+mTisA9u/9iqZ3YuTY/eW5MB/uGhJ6OmL1N47jL7JXFyrmp7xHx4f3zhIxbaX16xH4YFR56jWD2UpfWbtOW5v9qZGWVvStM9m646R0BXSIkxohOX4EoFUhkBGzjhvrcD71BZKEPOZU4JQeHCSUfOLok80U8279caG1s1W68Y6kkqQqgpOPq81HIiwJlhJURyH+cYcxRr/HaBHn4YxLFGsvWGKtajX+hRtGCOhRZ4RJjTCcnyJQApBAKmLCv40TqQ3Mn0kJM3FlmhCCLYmq8/5Lk5D3+bA/n6cVaLE1IlUauok6rViHh247RmnsdSdkEIKqZog0w/toom8NZtQop7L3ByTmW3n692bzDWJUQclFW+xwRDxXkM8B5CKMJ4Ayu4SgdSCgIEGTcM/EqwvyOWXEAJnE2y3xlbus1NLpyVzqFLegnRk+ES6OvYHasMhGAM4wN6H2WziI7M5qbCSZxFZM5DSKaFEPZe5OcKjoiiCnZSkxB4BuTUae8xkD4mARMAEgQj+JXzzsT+1LFVOpDLa7nlZKKD1HDiPgHfEFyLVEQRMNP9eOcsJd/04qL0kNWdvU5yzgbFlH1tr+29f41yAual/lTpkmpFCjzINWRRM5ZdDO6l2oeL0eaPWhqoBnJsQWelP3r9DXcpXFeVIHvwv062lYwLqPpVrUaG3WezhcINciqhDAH/70pVEomA4vyCk4imHfJRnOjdHdvZ5ERlOFaiAcNLR6qMsACw4eL4sLhkECQGIBCDWzoWkxXp0csoc8jv2CMT81xP7MWQPiYBEwA4QuHH7CF24vIU8b+7X/dy4fThOTwJFMe3wLtHXn51WQEn2xc517E2ZnTxY0XRZOlfUQWH2WbVA8JGWz5Of5hzdS9NYYSHcotH8KZxB/iCVZo/StZfOUGfuY+r5qUeZprVoKKz2bK2ZCnIaKkrw+71bxHpyMI+oz7MgasRJh6HQIaCH68trDefzMwTid146hwPofSgTn4FCucMZCArt8N0bBMVvrg/qZrEVOXHnehHsH8B4NVs4TdDUmetnOpc5OjmMIyVuCEiLMG64yV4SAbtD4NCxhZx3LpLcmBBBTxwcnKlU8QZ61VaXwxP0B84WX61AEepSrqo4o0PZee97HD94XyTuhaNGQ44nXMehCOs5HRK8NZFNAg4s71WoQcV+mUB72XpC8L1atCjT1PW4hgIF8Tdo3vQEMYRQTpsHjBKWHtqBtHsml/3euZ/o1pSTDCNbPeTw3Zt05uFdglVZJFtOwXVaJX8hQoC9WrT6lMjhRlMO7KA1fYezFRzNdANGmt+ZDWdym+6iu1Y/07mgdM3RyanXIa+tR0AqQuuxki0lAnaNABRgiWJ1qVzplgn+HLBkFBo2JUkurD4PpiSrw9uVUIIQKKrR9VvQN+zkgS1FhWYNQe1oB+vMVBEqigT99SjT4P1ZPLubyA5RnZWxWkD4DbYZONLAsgNXqCLNWPH9owruh6JWBHPhHM6SaPW5x+eVYfz8n2xeYegORYzzS0W0+il1yrclOjmlnfyOHQJSEcYOL9laIiARsAIBnPkpSk3dPD0TWKsdVeC6v/P6ZZGMF2d3akFwfv7MMS06ayjTMA44QvfzmWP3CtXVw9KIf5eLbc1R9ZqxE06EsESV80uwxqjTKZnOZTSQzo1WH8QbQtb3G0l5XaPp/qLDOd79CtbqZzqFJTo50/by3joE5BmhdTjJVhIBicBbBODsoqYLg6VnrcDq8QzwFduj6LOWt0VxFofchad52xHbppDdN69wnsJgsbUqCuLwY1KTdrSDlSzGh9cp1o2M8ch2P6FxG7G9WYLJueGoAoUMBQ2OUlC1WRJYrAo9m6W2qIdXbTlmklnMc+GPBHyQhmrpuWh6NnNjqOeKK52cufFlHdG7P0ckGhIBiYBEwAoEasz93qjVePbK7MzngNZISfYGncHUah3+/lWQcefMmImmtn2Pz9sK0s98Vtb+79kiAS4C4Jf1HCK2Th+zY0lcBN6fy3sNFWdzPx/YztHhbwjbpIu6DzQk+f2Tr4esX0LLWCFh67I3e40OqdHA4nQNipSiEZxv0YeVdX6dJMWmgyzsNpCGrv+bys/8UgT2I+PG0FjOFVc6OdO1yHtjBCTFmjEe8s4CApJizQJAiVC9YEk/euBzkVycjZ1ILE3t53+D6tcZSD07T7PUNMHrYYHBeUY5P1QmRPkTdppRMlYo5fH9hrcqFB3SKWkJlG1W9gBVzi612piWYUxs/8K6i42AlNw1ltRspnPFhU5Oa42uoFjr1oLSOr9j11G3e3H2MnVkirWvMr07R1XXh4Ji7dZhKrKtrLrY6PrQpxeo5g9lyMVVe447W7ypcZbWNG2spFgzAk7eSAQkAvoI5HYrQfVqvR9rp5dN278RzjL6I8euJiwyki0bB82zQEsjIe7PVAmiD8ptrQQxLuIRTWMSUa5IThPPVKXc3Le58cz103puc+1RZzqXOTo5S2Op6504BvIVW8pvmLRATyKZYo33jrWrXzNBGu8rvqZX2vVcqrDXmGtjjqJNd2AbVsitURuCKYeSCKQGBNZfPkuLTh+iy34PhWWDFEjI2J43c3TAvLUYvGBHFfdpk8hz3I/0kLO+d+czs8tjviNQqg1at5jOfPIVgTYsjC2vb1t0snZYs+2KTZlAWumSrnz2Pf3GoQzxnQtxhv6ciBihEIkpazjzxhY+38R2spTYIyAVYewxkz0kAqkWAQS6T9q1nuZ07EuNipViFplQ+mbPJhrFYQFr+42IFS4GyjZmdlZTtKkp1WxNGxbKTjNQFkj0qxZsVdpiLtChVcxbINEVIVh5EBYiJW4ISEUYN9xkL4lAqkMADixw30eweWv36LQ7oAib0b6XUIQIfwCTDILZ17A36EX2AAX9GDxCldg/nG2tY9o1X/bQ7MR5AxXBGZhC0aaUmX6bGxdt99y8SgfvXqdiHD8IOjS97UPEJULxWpI7TwI4x+EpzlkYRq3Z6m1UzN3QRYsqzZR67TrHQLYrXVE4/MDDdP7Jg/QBU80ha4UfW43bPC/RB+wsY45azlzdRU5svOnqeXHuGZuMH4aHkBcGBBJcEUbxP/DAwEDDhPLCvhEICgqiKN7SkmJ/CAQF+9ClK9sp4ImX7uId0jlR/doDNeuRYQK5+1qyUlALqMaW9PjAUDRqy0rB59mvSm0RtN5l2W+0+4OxTJ2WR4QMFGeWlVqciHfkxuWGPgpF20d1mxrKTC/0xgW7C5TMHyf204jaTVihPqJOTId2ePgX4szRdBy/ZyEGajPUZUufkfMKGjtyYIuz45JfqS+TaRfkoP+PeK3jG7Wh96vVFWw08DIdXrsxeTLnKKjS9g4dF4N67cT923y09opG1mlKh5gR5sd9W0WQP+jdNl45T5d4axkYNV0wlbeVsxLIu1deOMVJf0ovtGgAACGhSURBVM/S1oGjCMwzenUXfB9QT86kAUX6iP+4WHlxD1XLX9j0UeW9lQgkuCIMDg6mvn37Wrkc2Sy5I5CNIqiyWxjRu997yX3Jcn1vEShTqhkFP/MjRwftBKloli6doy5eN9jCyZ0ps0UvSbCl/K9pe0GyDStuL6cr8vB/yNnrA+gpe4QeGj5BzAFrEimSrBW9caEIcZY4v+v7hPNKyMzD/wmrSx0cr8wzbMMSAvOMIj+16ioIsJV7fCO1UueyVei7lp1FcWm3vPTRpuXUs1INs1Rpauo1ZLrA2R0UIQL7wZQDhQhF+B/HSUKJmaOWC+BtZz3aOSjiHhVrGOjf4PUKEnApcUMgwRXhzZs347Yy2StZIvDini95LdyQLNcmF2UegZrV4pcmCcHnvrylhwB60wS3cHxB4DekMW8hzmBFdImdXnxCAimYtwUj2esQGRvqceycIoij02KfUepNv/XGhaMNti8xniJjGujTyG0a8ImB/k1pb/qNoH8QY4PrFPKat4VhSYJA3BJVmjJWy5LlaOzW1QTv2gN3PGkGp6kaw/cI7D/HnKv/vI1x1KOWg6WnVwcse1WqpUwlOFs38japlLghkOCKMG7Lkr0kArZDwO/Rdfp7xRBydNSOIbPdTIkz0t17pwV5dmJwhqqfyN0tj+DoBPl0cz73UwRE1ZVnf0N/vTdYbHm2XjyTPqzZiGZ37E2lOIC+7V+zRFOczR3xeveHcRBbMDh3tEagaPXGzcC0bRgH527FWVlDjt+7TYU5oN6as0Ct+cGV2qtSTQ6ubyiqoQixzfn8rUOKOao0ZbyszE1amWneYBUiTKEh/4EAhpvl54+LPwhANwcnnVMP7ipdxLdCLfeSFaheXa5Mrrz9/MTQD5ajlLgjIBVh3LGTPf+/vSuBt6lq+0/GVIYQmTIm0y2zLhVJkykVRVEvKSSiDE1oliHe3jR4vU1UdGn8JCpTRZ8xRIYiRCXJ8Col2t/zX9rnO+fcc/Y5995zz953n//z+x1n773WXvtZ/3WdZ6+1nuf/5BEE7uw7W/KdVCBkOSyPqB5RzdkfPi5VKzeNWJabFxHjN0bZX/q+PU2md7vNsLR8pw4yjyz4HzPDulhz5YGmDIbxH5qhoWzRYiYUYq3uZ12ly4xwNkEG9fU/7jZ0Y68GkVvH0vvA779FbRdxefACnb5mmYBWbZ8GrHd/Y4os7nNiCTZW25HKYehhwJCfEDGGWGr9SJ1x5vQaFKBKe7DNiZCODrqXiGXKPs1amllxMPVaW10eHbP4A+n4dzooYDBWzx/V5VgISL7BegNqORjNYGo5GPJoZRcrYTjyJIIJB/LeV2sixmWaQv4TEwEawpgQsUJeR6BkiVBX+bzen1OLlJBChdyZ3XZvmG72ogbPnmFi/wrky2+yvv+zfQcDK2ZgcFhp85/xJjC+hDrStD3nXJMSCc4lTyq92tXTJklhnSE1VYeZeFlZnNrFg7E/2FMzz89Yu1xO1owSMIhOKZhi/Q0MbN5G4DWaNnGUknCXMBkwnurQzdzmRJUWTL329FU3GGzum/eWvgTUMvfCECLtFLxQITB+0ajloH+0ssGasQNeto3+9bAuL4tZFg42wKbxuP6Jb0bu2FQCmnBsPwmFuU6xloQ+8BFJRMDeI6zzaP8kPpWPCkbAZohJ9tJosA44xswPS3uRssNjXwwJbeFRGi5woAG9GsIIsipO7aItOI0gyW5W9h6ddDDP0z3R4rrMGS7RqNLC6dDC74t07kQt51QG44f8jDD+2RGbYi3/yaFes3Zbv678Uq5SirURp1WzL4V8H/7zD0OxVtWBYm3x3xRrRaJQrG0lxVoIpjwhAkQgDyGAtEH5MB2JIPhhjvbjDI/N7BhBPMapXZRnhyoN90UTp+dFo0oLp0OL1nbwdSdqOacyvIjkRAIUa/pyEk2OGoq1KBRqf1OsHY+DYs2pjtsUa//vQxwNBV4nAkSACAQhgDi3K9Uhpsa4e6TOhAdkkMYNImWSLa0mj5Ul27+xTxP6jTAJ7DPmVBCf967G8rkhiMdMmzgy5qNBNdf46Ydj1mOFnCNAQ5hzDNkCEUgZBECxds/cWXJnC92jGjpaPtRAeSzPgWLNFgTd/+VA4mzXy853ImjQ8FzoiIB1NwT7nU9qKEUsCaaai1WX5TlDgM4yOcOPdxOBlEEgXoo1AII9QASlI8gbdGfplasrA8ohATVZSd3DW7V7u7Sseo7sOPCz9GjYPIAhZps1zygrtTWAHV6l6378TkMgTjcML5FIvaPRoH2mIR75dEkPoR6ldC+yd9MTYRCBBwUdYPaaX+siOz1o4Vqp92vr6rVNwl6EZCDDfR1Nqov9R9Ci1Sx9pry3cY3U0nCSa+o1MvukaA77ia+sXirfqBNL7TLltV/pxhkovN9d6jUOoZNDu6+rx+v2/T8bEgKw2UQiAghSmYcJRoCGMMGAsjkikNsI/PTzVtn9w3pZv3Fewh8F1plrOjwWsd14KdZw87A5M6W/Mqogxg9eoghlgBPJyI/eESTnxecMTcrb5bXn1IMyzfCCgjT6LvVGXXL7fTJaQwpW7NouN6uRXP7dNqUxGyfrBj0UopcTDdpCDWBHvF4r9daEs4mTLN62WQ3YEhPigSS7vWa+ZMJBQFmGPUKER2y++zHZowHu96sHaI1SZU2oBGjSkPEh44a+AsfJdppUGH2C4Z+hHKXvb1orb/bor9koDoX0++AfR2T8p/MEdHKIK2zx3GjpktZEmWdqKPXaamMUvxg4ykllliUYARrCBAPK5ohAbiNwScuBcuTIQU3Mm3Wvy1i6naQeiNEkXoo13H+nuvcjrg6ySA3NKmVSSStbQfarp+nU63qbGEOUXVS1ptKMrTK8nbM3rpMGanwQNoBn1dYZFyjTrlFKsis0Hu9YmEGLRoMGPlAIyLcRVhGPoO7Ytl1M1YWqL7xdH/w79RNCMlbrTBHE1r9qYD/CIhC32KluA6mqaZ3QN8wcdyvDzdxeg80sEMH4NTXF1LKd28zLQHC/wQpjCzxvkcKqV5MLzKVmlarKeUpOkL1QCLtVfmcVARrCrCLG+kTAZQSqVW7iigbxUqxBOTDK2ALDhqVSCDLEI9DeFgSsP710vjGEM9YuMwHsKLunVVvp+9ZUqTZ2uDGWPRqkZ/JCjUaDZj8LS5jxis1Ig/ollYQ7mMAaLDOYucEQltYZn53CCcwwjStUka9+0hyEuuwL49Vk0iOBR2IfErPoBhorGN5vuxKWQMsqS0zvWS/Lhj27A/uWsWax9v38TgwCNISJwZGtEAHfIxAPxRrYZSAFgkitg4EplD90xtm2VprcpamdVijNGGZW066/1VSHIV1421CTxQL7cX3enpqJOSUaDZodu1hYs9LHKwjwD5bwsBCbCu7Q779LMK8q6NDOLFrcXMM+4rs3DQg0A05WhDdgBhjeb7vSvC3rDf/o+HbXyegrrjWcprWevN8stdp1+J37CNBrNPcx5hOIgC8QCKZYg+GCcdipDiZD52QEKNay2lGQd3dWh5O7lIy6Q+36AeLum974j8kYX01TNg1ofonhDP2vklUHi02D9psGdYPwe8ryxdJt+r+DqyT8+KiSBMz8coVpF/kPkei3ScWqxsHmC10+xQe67FAe0Pr/ekh2K+m4k8BB5+zSZaSj5mZE/kTsa0L+1ES7lOQhEPoalLzn8klEgAjkQQRiUaxlp0s3ak6+/6z4NLBHhzZGtukod7z7mkxTw3DgyBHdK6xrEvzCccYWJxo0u06iv09VI4c9w/HqEYsXgamahxGB9fiAgu2G6ZNNUD9mlKOVT7Ty6aUN32o0Pa5XjtI3lXKt2aRHDTkBjPtZJUrJ1/v2mPyG0e5L1HUrAXPPk5x9kRKlaq62Q4q1XIXXf42TYs1/Y5rdHjlRrGWlzXVKyt37zVdk+R0PZLoN+31YtozGUoMbnGjQMjWYgwvwUu2gnqHbho+RfZorsJTuF4YL6OOQCaKM5m3MiuxXovDTdBk1Xu7VrLTtVLfYOdWlUOfLJRrF2uEVa6W9UqyNKlY9YjOHdR+0/5bFUn1OaLLm4MqLBqyWtKHtpdCpJYMvB463z/1SWp1+mTwzcnjgWrIPOCNMNuJ8HhHwCQJIM5RTQVaHtzUMYUCUzPT2fp/Tc5xo0Jzuy0lZJCOI9kAfl1UjiPuySzmHe3MiBfUl45gSCxzXJd9IgrCQYxpjKX9GLpdjx8VSK+JIkWYVlG833CzHpEakR8jh7Rny+ymRuU4j3pALF7lHmAugskki4EcEMAOs9PgQafHs45m6t0Cz0KPs2c8XZCpzugBPy56NW4QE1TvVj7cMAeoIVIeATi04D6LdxiurlhidoTc+yOTQT1NM2V6ndj37G96dd194uX3Kbx8hQEPoo8FkV4hAbiKAPTE4h+zSnINYzgyWWRoLCEqwo1l08sBeYM/GJ2LogtvL6TH4T5HYFjJKnwEWmHCBQwoC+5fpkuzn/e+XFzv3NGEQQ9/PCK9qzkHojSB4iv8Q4NKo/8aUPSICuYpA+1rnmuXMc8tVMs9BmADYWS6ocnbIc+FZ+uHXG0y6proaTA+nGOyBHVMDFI0+LSuUadGoyV5XajbE4f1bvUiRG3HbL3ulqjqtSAT+AWRfsLPYI94RTDZIpGsLdF2wdZMs3LpRaqjRRDwjskuE06bd1rSloWkjVZqNXN76piHMW+PlurZHfzko+1dskHUDxrquCxVIPAL5ihSSemMHOTYMfs0hOmvCTAuCMIIL1QgigNwWcIqCiHvIRZdLuaIlTNA8Yu4eUraWaPRpm5VNpqPSmYFrs5Iapf7vvCrDWl4pYIoJp0xzoibDzA35CM88rbiJ33v+fxcZlpmzNON7uPyqoRfI8gDvSWS2f07r3vQ39ykMPJZVyyntWgfNMD99zXL18Fwls/8xMBNtGgzmRZPHRaRKS1RuxHDdeZ44BGgIE4dlSrRULK2GNHz5YSlQxN3N7ZQA241ORskvGKxKQ2VK+UuXSdd+/52cV76SUqStlm71m8q01Sdi4FC3iHJ0/lvpzS7SjOyQw0d/N7NGHEejT8sKZRrozKJRk12moRYIX0BsXqz8hFv27pHuGrMI2a8E4QjCt1ll0C94gH7W715jWMEHCqab+To7hJENpk1z0gesMhRvI0BD6O3x8Zx2+fSHokg5XWaipCwCmOFcrTyb73z1hS4XllFy7G+N0Qs2hI2UemzyskUySZ1nNquxOa6eidVKlTGYRaNPywplWqKoyUB/NveWwYGxRHaJti/906SY2qL0aBcrabc9o0OgfPpZ1U3mCBjCYNq0ROkTUIQHSUWAhjCpcPNhRMAfCIAI++aMF5V3s4IJdC8QRp02RGnTwL95ty6NNixf2aQnmq2ZGiDR6NOyQpmWW9Rk7XT/E7NCMMSAHm257nMGC5Z3K2haKEgwbVpu6RP8bB7nHgL0Gs09bNkyEfAtAnCUwfLj2MVz5VrNrxcuMBjIHNG8cg2z/wb2FMSrQaLRp2WFMi0WNRnSP8WTwQGeroc0aB+fvZpmaZISgOuqrzHwl9SobWa7a9QoQj5Sx58fDh2URhWrmPPgf2LpE1yXx95DgDNC740JNSICeQIBzApfUw/N5pp0N1wGX3CZDP9glryxboUyvxyVDrpf99LKzwTMK9Ho01orYTe8RtMmjtLEtCU0t19RQ1sW3jbOnajJkN0CiXVbTh4jr3Y9QeIdqQ1cW7lru1R+Ypgpxoy0poZZTLu+t9lbxP7iE1d2lvbKJoNkwggfQRm8S8EEEyyx9Amu66XjRFCs5YtFi3pSrAruI0KKNffHgBoQAd8igFkWyKQjSTT6tKxQpjlRk8GzFDNDe48vkg7xXEMoxr44adOc9InnWcmu88CEsfLXOVWkkL4ERJJvN2yUzt8dkaY1Tjg9hdc5ohhP/vETqXt7s/CiwPnHr6+XKmnDNX9mZko6VNr19Trp1uAUadHMnfRi0IGGEChQiAARIAJEIGUR4B5hyg49O04EiAARIAJAgIaQfwdEgAgQASKQ0gjQEKb08LPzRIAIEAEiQEPIvwEiQASIABFIaQRoCFN6+Nl5IkAEiAARoCHk3wARIAJEgAikNAI0hCk9/Ow8ESACRIAI0BDyb4AIEAEiQARSGgEawpQefnaeCBABIkAEaAj5N0AEiAARIAIREdi1a5eMGjVKHnroIdm/f3+gzpo1a2TixInmfOXKlYIPZMaMGdKtWzeZOnWq/PHHH+Za+D+vvfaazJkzJ/yyq+ekWHMVfj6cCBABIuA+Aps3b5aMjAw5fvy4NGnSRCpWrCh16tSRWrVqSffu3WXbtm3y2WefyYIFC6Rq1aoyd+5cefHFF+Xss8829x05ckTat28vy5Ytk9tuu00WLlwopUuXlurVq8uXX34Z0kEY0VNOOUVq1qwp/fv3N88LqeDCiWezTwwbNkzOOScy0asLOCX0kXv2aKJS/YMrX758Qtv1SmP4Q69fv75X1EmoHnv37pWjR49KhQoVEtquVxrbsGGDTJgwwSvqUI8kIPDTTz9Jp06d5MYbbxSM/yWXXCIdOnSQMWPGyDXXXGNmg1Dj7bffliuvvFIWLVpktEI2jlmzZsmmTZvk2LFjxkDOnDlTWrRoIX379pWmTZtKq1atZPTo0WaWiHPIoUOHpHjx4tK6dWspW7asueb2P55dGgXofhW8XeENzK/y/vvv+7Vr8u2338rGjRt92793333Xt31jxyIj8MILL8iIESOka9eupsKFF14oAwcOlK+//lpgJG25+uqr5e6775Z27doZY4brmNnBIBYuXFjGjRsXMnnBdRhYvBijra1btxqDeO6558r5558vPXr0kLPOOstu3tVvz84IS5UqJbfccour4OTWwwsV0qSh//2vb/s3ZcoU3/bt1FNPFczo/fq3ibGjpBYCv/32W4jBQ+/Xrl0rgwcPNkuXl19+ucybN8+Acuutt8qBAwcE37gO41mvXj2zbIoZJWTnzp1mRonZI37rsMz6wQcfmJWGiy++2Bi/cuXKmbpe+cezhtArAFEPIkAEiICfEcCeHmaBMHYwYlgahaNLw4YNZenSpbJ48eKQ7g8dOlQaN24sW7ZskT59+pi9wRIlSgTqYJb4/PPPS3p6euAackJiNnnppZdKv379zD2BQg8c0BB6YBCoAhEgAkTALQQqVapkli3h4AKHmDZt2ph9PugDA4Z9vnDBzA4fSN26dUOK4SSDTyTBsuiSJUsiFbl6jYbQVfj5cCJABIiA+wh8+umn8vLLLwvCJX7++WfjDAbv0FQRzzrLpMoAsJ9EgAgQATcRwNInlisbNWok9913n5x++uly2WWXyY8//uimWkl9Ng1hUuHmw4gAESAC3kLgvffek7FjxxrnGBjARx55RK6//noTK2hrWq1aNXP4wAMPyOuvv25fDnz36tXLhFWsWrVKunTpErhuH+AZgwYNMqdwroGDjpfEs4awTJkyXsIpobrA8/C0005LaJteaszPYwdHgKJFi3oJ7oTq4uexSyhQPmoMQfOLNDYQ4Q4QfCMIPnhpFLF/EDjRII42XGDYEBuNTyQj9+effwqC7iHwmPeaeHaPEG8QfhUEqfpZ/Dx2HTt29PPQiZ/HztcDl4POIVTtueeek+nTp0uDBg1k+fLlxmjBoD366KOC+EG/i2cNod+BZ/+IABEgAl5AAMZv9uzZUVWBV+nIkSOjlvuhgIbQD6PIPhABIkAEsokA2GNAGehXSst4YMn/oEo8FVmHCBABIkAE/IfAV199Jb1795Zp06aZPb4aNWrIySefHNJRUKHByaVkyZLGYOI7WLC3jL1GxA/CscZ2rrHrwC8CBNyYXeKD2MN8+bzjosLsE/ZI8ZsIEAEikMIIrF692hhDLJOCOaZnz56GCQZB9X4X75hkvyPN/hEBIkAEPIwAZmkXXHCBiSdEgP1TTz1lsshgxuh3oSH0+wizf0SACBABBwSQegkk2lj+RNJckGdv375dkEXmrrvuMjGGDrf7ooiG0BfDyE4QASJABLKHwBdffGH27NavXy9vvfWWyRxRoMAJP0rwjCLTCvINBgviBTFrtOXgwYP2YeAbsYm2RCoHcw1yGXpBaAi9MArUgQgQASKQZASQeBcZJJCBHqwvZ5xxRiYNKleubBxgbrrpJvnrr79MOfJxNm/eXN58881A/RtuuMFkrsCFX3/9VQYMGGDatSs8/fTT8sYbb9inhp3mvPPOMynNAhddPGD4hIvg89FEgAgQAbcQQLYJ7AnWrFnTUQV4g8JLFDRqderUkYkTJxoaNnia2gLD17ZtW0EQwj333GMyU2CGaQtSPSF/IVhlsOS6Y8cOQ+GGGEZPiNLpuCaa7dsqW7aspRnbAzro24alTAbmugJr6fQ5UKYcd1bTpk0tXcu2lBzW0jeUQJlXDjQmx1ICW6MjdNU/toBqSjNk6ZuXVaVKFUvTkViarDKuskAlDxwoQa913XXXWeoCbelboqUsFAGtnMbOqSzQgEcOdM/E0v/4Idr4YexCOhR2kpfGJ0x1nmYTATVMlqZdivvuO++809JZo6UZKiLe8+GHH1pFihSxXn311Yjl+G3E7961115r4f+TlwS8cq6IrjlbmgzSUtdc65tvvjE64Jq67Vo6Zbc0FYgxKK1btzZl+HHCj+8nn3xi6ZuGpW8SltICuaK700Nvv/12S9+UrMOHD1vqhmxpPI6l6+Pmlscff9y64oorrN27d1tKZ2RpMkvr+++/j1nm9LxklinHoKWBt1ZGRoalvIHW5MmTLX2bNC8kTmPnVJZM/eN51kcffWT+zjTGKaR6Xh+7kM6EneSl8QlTnac5QACGMH/+/JbuB0b83H///ZYm6Q35FCxY0PxG4/qIESNCynANvw/4nbbv09lh4BjX8LtduHDhwDW8WHtBXIsjfOyxx2Tv3r0yZcoUWbdunQm2BMcdmMvhsYTYFXDdYd0a7rtYY1bA5MknnzQz6ZkzZ8r48eNl2bJlnphZ20ogM/NVV10l5cqVM3x9CDRFmhNke8Z6uxoRadasmamuMytzjMzNTmV2225/g4gX/XvmmWeMKhgPZKZesGCBCcSNNnZ79uyJOq7ot1cES0U9evSQUaNGSd++fU2fbN2cxsepzL7fy99O/++8ND5exjAv6qYv5WYvT1euIqqP319dtYtYhotYLv3ll1+ilsdTByEbkfYmHRvNhUJX9ghXrlxpDAKMGAyhLQAd69V2ACeY/kH9g+swjlhjtgX1nAbJrpfsb/yAQpYuXWqIbGEAsSkM9nUkvQymMUIfdFnYsSzZ+js9Ly0tLWAEUQ9eYTqbMCwSuiwSdexgCKONq5d+aJE9e+vWrSYxaTAOfhi74P6EHzv9v/PS+ITrzfOcI4AXWSdDlCrjn3SvUbxlgLHgpZdeykTjA0OBpJDBUrx4cdm3b58xIhg0W+zrmJV4UZ599lmZP3++cUtG+hG4CkNX6G2L3QenMruu177x43nzzTfLhAkTzJjFGrto4+qlfoGFX5dtMqnkND5OZZka8ugFp7HzqMpUKwEIwFEl+Dc1AU3m2SaSbgiHDBki6enpJh8fXHfhkosfVXgTYVB0by0ETLjiqkONKcOxLaiHZUd79mhf98q3bhgbd2LMerGcCKMHQ4gXAVvsPjiV2XW99I3kmy1atJBhw4ZJnz59jGqxxi7auHqpX9F0cRofp7Jo7XntutPYeU1X6pM4BEaPHm1e1BPXYt5tKemGEEuB2Itp166d+SDRI9xwsY8GMtadO3cG0MSymzqTiHpZZipDveDEkYGbXDzAEhpci21jh6BUBKRiKbhYsWLmE9w/uw9OZS52J+Kj1VlJsLeAvdo77rgjUCcrYxc8roEGPHzgND5OZR7uUohqTmMXUpEnRMCvCOgsxVXRfcCA16gaRUudTCxlNzCeiLrsZp1//vnmWB0yLGVFt3T2aB04cMB4X6qzjKu6R3o4PLGeeOIJU/TDDz8YDypdJjXnun9o6bKw8bhcu3at6evmzZtjlkV6jhvX4OGqMyBrxowZxhMW3rD4wBXaaeycytzoR6xn6lKhFe41mtfHzqnPeW18nPrCMiKQHQRcC5+wlQ02hLg2Z84cS/eTrIoVKxpXW4RN2IIYPE3nYVx0u3btasHt22uiHrDWpZdeasIKEDqB2BulIzJqwpAgtvDMM880fUD4gS1OZXYdt7/vvfdebMhm+miArFHNaeycytzuV/jzIxlCp/FxKgtv26vneWl8vIphXtVLHRYtTcGUV9VPiN6uhU84zbCxbwgHmUjeTNgn1J6bPUanNtwug/7IwRWe1wt6IWwEjhmR8nE5lbndp3ie7zR2TmXxtO2FOk7j41TmBd1j6eCH8YnVR5ZnRkBjZGX//v0ybty4zIUpcsWThjBFsGc3iQARIAKuI/DOO+8YD3BdhRN8bAdEDagXJT1xXb9kKEBDmAyU+QwiQASIgEcRgAMjPuGCuFp45qeCuBJQnwrAso9EgAgQgbyAALzv1XlPlOrShLNhiVwdEk1MbaoYQs4I88JfKnUkAkSACOQSAoh5Bq1g7dq1TRx36dKljWFEqBSoIlNBkh5HmAqgso9EgAgQgbyCwOeff254m+E0A0q1WbNmmZRKwTHPeaUv2dWThjC7yPE+IkAEiIAPEACzEDzxkWsQ5B8Q8CMjc32qCPcIU2Wk2U8iQASIQAQEkAUHbFFIwAuWIdAmglAfM8NUEe4RpspIs59EgAgQgSgIwFEGxPhwlJk0aZJJD4eM86kiNISpMtLsJxEgAkQgDAFkxoHHqFJZmhIshx46dEhatmwZVtPfp9wj9Pf4sndEgAgQgYgIIPdm/fr1RSkSA+Vg7urevbv069cvcC0VDjgjTIVRZh+JABEgAmEIjBgxwlBVDh8+PKQEs0QE0yMjUPny5UPK/HrCGaFfR5b9IgJEgAg4IPDxxx9L586dM9UoUqSIdOrUSebOnZupzK8XaAj9OrLsFxEgAkTAAYHq1avLpk2bItbYvXu3yQMbsdCHF2kIfTio7BIRIAJEIBYCmPU9+OCDsmPHjpCqGRkZMn/+fElPTw+57ucTxhH6eXTZNyJABIhAFASwLKrJw6VevXrmg/AJzBCRHg7LplgiTRWhs0yqjDT7SQSIABGIgAAItpcvXy6aYNowysAwFixYMEJN/16iIfTv2LJnRIAIEAEiEAcC3COMAyRWIQJEgAgQAf8iQEPo37Flz4gAESACRCAOBGgI4wCJVYgAESACRMC/CNAQ+nds2TMiQASIABGIAwEawjhAYhUiQASIABHwLwI0hP4dW/aMCBABIkAE4kCAhjAOkFiFCBABIkAE/IsADaF/x5Y9IwJEgAgQgTgQoCGMAyRWIQJEgAgQAf8iQEPo37Flz4gAESACRCAOBGgI4wCJVYgAESACRMC/CNAQ+nds2TMiQASIABGIAwEawjhAYhUiQASIABHwLwI0hP4dW/aMCBABIkAE4kCAhjAOkFiFCBABIkAE/IvA/wE6xCigEon1QgAAAABJRU5ErkJggg==" /><!-- --></p>
|
||
</div>
|
||
<div id="plot-a-mirror-labels-on-the-left-horizontal-dendrogram" class="section level3">
|
||
<h3>Plot a “mirror” (labels on the left) horizontal dendrogram</h3>
|
||
<p>Asked (<a href="https://github.com/talgalili/dendextend/issues/29" class="uri">https://github.com/talgalili/dendextend/issues/29</a>)[here].</p>
|
||
<p>Solution: use the <code>plot_horiz.dendrogram</code> function.</p>
|
||
<p>Example using <code>USArrests</code>:</p>
|
||
<div class="sourceCode" id="cb38"><pre class="sourceCode r"><code class="sourceCode r"><span id="cb38-1"><a href="#cb38-1" tabindex="-1"></a><span class="co"># Create the dend:</span></span>
|
||
<span id="cb38-2"><a href="#cb38-2" tabindex="-1"></a>hc <span class="ot"><-</span> <span class="fu">hclust</span>(<span class="fu">dist</span>(USArrests), <span class="st">"ave"</span>)</span>
|
||
<span id="cb38-3"><a href="#cb38-3" tabindex="-1"></a>d <span class="ot"><-</span> <span class="fu">as.dendrogram</span>(hc)</span>
|
||
<span id="cb38-4"><a href="#cb38-4" tabindex="-1"></a><span class="fu">library</span>(dendextend)</span>
|
||
<span id="cb38-5"><a href="#cb38-5" tabindex="-1"></a>d <span class="ot"><-</span> d <span class="sc">%>%</span> <span class="fu">color_branches</span>(<span class="at">k=</span><span class="dv">3</span>) <span class="sc">%>%</span> color_labels</span>
|
||
<span id="cb38-6"><a href="#cb38-6" tabindex="-1"></a></span>
|
||
<span id="cb38-7"><a href="#cb38-7" tabindex="-1"></a><span class="co"># horiz normal version</span></span>
|
||
<span id="cb38-8"><a href="#cb38-8" tabindex="-1"></a><span class="fu">par</span>(<span class="at">mar =</span> <span class="fu">c</span>(<span class="dv">3</span>,<span class="dv">1</span>,<span class="dv">1</span>,<span class="dv">7</span>))</span>
|
||
<span id="cb38-9"><a href="#cb38-9" tabindex="-1"></a><span class="fu">plot</span>(d, <span class="at">horiz =</span> <span class="cn">TRUE</span>)</span></code></pre></div>
|
||
<p><img role="img" 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3tChN3pbclcBYFegsDiXZmwMdGHrl77TWzlpM1lFDXE050vdOMDrbHlifbvzZXHZcFmdJ96DYmdSKyG+qA8Lht2k0NQsO0EzPu6wdjDVhFf0a5Y1OSUwGZMAO0d6isTqIGDBaIe+VGZW7XOLe11Qjnf9Tdvr41DbH69J5wLEfaEtyhrEAR6GAKfbUnH9FA7mBi2f/emoroOpZUNjisXGyI9c2NUHkxq8thK8irlPT6rYb5IfHstEaE7rEf2oR9/JLyxGpW0F2g3JVT1yd8Uidjnfof/C3Pg++xs4ORJ7Bn1cn3YQ5OB5aRDCAgRdgg+6SwICAIXAgEnS0M8QIHs1qbt/xPFzjJ7EkouxPRaHDPr9yPIXHoIFv01+TdtxgYi6b312BHyCoZs+jdpdWmoyioi02Ytjt30I4y97JH0/l/weepKWIR5Kk2xIikX/i/PU+Ozg4yJrwPsp/VX58mfatKtaTXDFifRgYvJn2xDTV4Z/P5vWgdG6Z5d2/9b1j3XK7MWBAQBQeCCIGA1zBPVmcU41ddRjW8R6g59S2vKpFJITi/vUHydAUI+uQWF21NgMZBMop5mKItMh/3lfZVDiOVgb4rtO0n7f5q4R8fZg5Dzx2Hsn/aWMq/ajA+CkbsNyuM5kP38E2+fa9H204LJYefseVTPNUZ3vS9E2F3fnMxbEBAEuhQCxh42MHZ1gutN49W8KhLzoWdsBq9/T0HBllj0/XKBup70znZ4PDCGCDAY+uaWFHeoCdp3v2My8v6KQsLCjbCZ4E/7ht4Y8OsDqCksR/GBFBTtSYbHnZdTjKFG4+TByk5kI2f1cQq30IHT/AEwdteEVmT8eADWY32Ru+Y4qnOo6sPlQbAa7qWeX0VknfnLQXLGKSfnHGfVT0dfFzW5ZeCySaBrZ+uvBulhH+03wPcwIGQ5goAgIAh0FAHrMb4o3p+shsnfHAubcX6wndgHRXuTVaaVWvL4LIvOpj1BH9Um7Zs9qEjKR0l4OqIeWgZTfwdynrFG5N1LUbg7UbXJXnEM8S+uh5GrFSricxF+w2I1VuJb/yDirl8obs8UVZklODTzczKvahIApH29GxH/WkIaXh2FIJgg/MbvyTSbpcY7umAxEV4NLId6Iuu3I4h76U91vXBXAvI2nFDHZ+uvGvSwD9EIe9gLleUIAoKABoFqMjOGp5Zh8jtHOhWSr24JhLd9y+EL1qN9kfnzAfU81gKdrx2otDRDezOUHE6jUkuVMA91IZNp0/6sPRrYmCjiZK3OIswNBnaakkvJ721G4HtXwXZSgBo35dPtqEjIR8r/dqD/TzfXa3oRRZVI+XQHAt8mxxoSJmGvhzXaaeGuRBQfSoOJjx2q0gphPcoHNmP9KGjfS5Go6tDso6X+ZkFOzVr1jFMhwp7xHmUVgkCXQOCV1Un4mbKxOFmemXXkfCZ4lAgsp6S6Q84yNlQ9IvGNEefz2A63tR7ljZgnV6lgeNYMgz7Q5BNlUinen0JmzgpFQM0fZDclEPkbo7F/0sfkIGNPDjLBcL9nFKrSixR5WpGZVCse945RGqSusT4sB3toLyviy/r1cP05z0Ur+qQVnqL0aByW4ff8NJx4ZLnad7SdHAD3f43UNmvy3VL/Jg160IkQYQ96mbIUQeBSIxDsYor7Jrri/onnX7qo8dznLjoGBwtNKaDG17v6sYGNKXmD2qo9ONaetJofE2HmUgqwJ69Mn6cuO2MZesYG6PPGLPIYnYH8f2JIs6Nq77kUUP+fiRQuAVRnlShtjjsW7WPT6ymcLK9RAfuGjhZqvMrkAjKfNjjRMOm1JI7zwuB83SA1TuZPB3D0uu8wfO9/zmjaWv8zGvaAC7JH2ANeoixBEBAEug4CNrRPmPb1HqWhaWfFGl0p7QOyCZTNns0la9lRhNPenZ6pIeUg7af2FevKqslcagozcl7h0IxTVBC4mhxaIu5eAiNnS9Ic7ZRTCwfYswMMO9pYDdM4xDQfX3vODjJ7h78HJk12xnG7cySlc6tV3qraNr3xu+V/MvRGJGTNgoAgIAh0EIHwW1egcGcCUEMZYkgL1ArX2qvOqYQu1SPkhNpJH+0hUqvQ3lbkV7ApBvvGf0j1AfUUIQYvulrd5/3BqPt/A5OlHplDvR6dSA41Ngj6cK5ysMlcckiFPTiRpudy05D6MVs6YMca7ycm49itPykzaTVpnf6vXkG5Q/WUY015TH5L3Xr8Nak+0eNfsSxQELh4CPx+IAeZVMevM0yjX98a1KE9wou36oYnHb72N5Qey6YQiv7wfXJM/Y28fxJw/O7VlHzbFkPW3oCy2HxFXhanYw61DU9SCSfOJcqaYHOpJrMqE1nzyg7qupUJ1TA8PwMfa5cGdg3j5f4VRwS9F4P/WND80T3+XDTCHv+KZYGCgCBwMRGwn+aH7NXRTYgwe+UJSp3mS6bRQjWVmtxyFcKAvqAwiVQVB1iZVkLxgumUgNseLteFKs3xbPd4ICbY/C1JVFfQCC7X9oWxm2aPsCqjFOk/h9MeYgXFClL5p2soaP80UdYUVKj5VcQXkgnWG7bjvMghp0pdq84sRerXh+B++0AqAVVO+5oRZEYtgqGTGXnA0vgumv1ItYge9CFE2INepixFEOgpCCTkVuKeH6Jh0IGk2xcKi3NVn7Ac6ELm0VTy7MyCRT8n1NEeXOGuFPg8MVqRDM+rYGcKqrPLYDfRh6pQJCPjl2OUoNuTknK7InnRfkrFRk41j448673kRfuQ8fMxuN8xkGIT83Bg5s8YvHqBIsPD1/xKnqd+NJ4b0r49jNKIHAS8MolCKDJx9MZlVBcxhMjNHFGProfnvUOowkU/Fb6hQyZSJr06csTZP+V7OM6hQPxhbookM3+NwPDtt52hkV4onC/muEKEFxNteZYgIAi0CYGld4fAxEC3S/7R5TyoZxUdwGFWAGV8iVFEmL8pgUImPNU+XGv92KwZ/IEmxyc7xeT+GVvftKV7nAot8b1d6PfdHNiM0oRQcHq2lM8PwvepMahMK6ZYQU/Yjvcipxg3cqYpVeNxHyY3/xcmqHNjNwuceGID3G4bSETsgeKDGXC8IgCVGSXwemQE3G4KU+0sh7hQwu+vyWxbTSngzl2CSnXqRh9ChN3oZclUBYFLgUBl9Uk8uTweoa6aAO+zzWFrdCFMSavoqPRxOnOPrKNjXsz+jkSEx+9do0iJzaIuC0JRW1TV6hSYhLRiYG2Mk1Q5Qyst3atIKSZvzzqceHyDthnqyLxpThooO9T4vzgBUf9eB/qXhDLJetw9WLUrp71J3r/Uig0RZV1ZDWmgGqLUXmcTqKGDGSIeWIvSyFxKA6eZz6laiuXogSJE2ANfqixJEOhMBCpJ09gZW4xh3ufeHzLS14F+FzRndiYebRmLTaLEQWr/r+RIFiXbnoGcNTGtdj0jZq8R37R0T99Mo5X2/2EOhVKYq3E5nZq2rfP8vnAlc2fR3nSk/3gUh6/+FaMO3q20uUoiUa3w/p8Oad6G9k3/4ZH3dzyin/obAa9OUtoja6m7Bn9O3RpNTDtID/gWIuwBL1GWIAhcSASY2JytDHH98HOn1zIiEx97jfZGSfs+EsVHcuB4pSYVmsPMQEQ//TdsJ/vg4LzVVHvQqtNgMXIxV0416d8fVVonD3yU9gWd5gRTKEYQ9o77BoPI+9N6pDt0qZRV3sZ4FSvIzjGsoTqReVTP1ACxL2+nslFOqvqFLhVCZtMnS0VSESX3toHDjD7qnMM9WE6eThCuTnrQx/n52/aghctSBAFBQBDoTAQcZ/ooJ5PKdI2ZkQmR4/IsBrii5HgeLMPsO/NxCPl4OlW5T8bu4V8S8X0Lsz52cLt1AAxtTZTH6tGblmPv5MUIp++A1y9Te5ReDw2n7DMW2EV9do/+mpx40uD/0iQ1L3PyVmXv0e2hi9Q+IlfF2DvxOzUGm3WNPSxREVfQqWvoKoNJHGFXeRMyD0GgiyJQSia367+IxKoHNJXTzzbNzoojPNszuvK9Y/f8TV6bZvB/riHHaezLuynHaBWC3xmvpl6eUITM32NQW1oD+8vIoWWMJtNMwc50FUZRsDOD4gWNwcSa+1cSzIPtkLUqjkygZnC/JQSFezKQtymVtD0X1b+Wkm3rmRtS5YkiZK+KB0iDd7kmACYeFhS0X47stYmwG++OrD/iVRC/wzRvWPa3R8avJxD93G543hVK5Z36wcjFDKdOUeq2ilqlLfJkawp4bAOlMXZl3Ds6NzGNdhRB6S8ICAKXHIHHlsbBq5WKEJ09ueuHO8KOEnq3JC4LAhH5ny3we2Y4dHR1VLmkzGWx6PflFNW8NDIfh65ZTTF/gVS70ByRj2yBzyODaD8vCPnb0iiM4gR5mLrBhPZlq7MryHS5hzxP7RUppn4bQWEM8TC0M4bdJE9EP7OD9gT1FMnFvbEPWSvj4HFHKEqj8rFv+nIMXnklzPyskfrVMaQtjoDjDB8qyWSEw9etwdB1c6kqhqXaxzQkxyQdQ41xkIP12WSqFQObplUytNd72rcQYU97o7IeQaAXIrD5RAGe6eN9UVZuQATXmtgSiTEBsnbHml7e5lSKzzOG1WDN/mrih4eI1Hzh/+xwNYRZoA0iH92iiJAvmHhbou+HE9U9Js1a2m8N+WgijBzJmYVIKuaFXRgbfjNVu9dHRUoJaYYpNLYjkj45goFLr4DNCBfVl02ZSR8fQch7Gi2UNUKfRzWeozy3ooNZcLshGKC5Ol7hS+Rqovr11g8hwt765mXdgkAPQsCSiGHOwM7dg2sPPEyCrO1lkRbIRJj5awxcSUvUSll0gTJP5m1J1VziRNpZ5Yrw+IJZHxttU/WtR5qnIkE6Y0I1D7ZVJMg39cz0lemyPL6IQib0YDWkwZnJlogvY0m0GoM/bEZrzK98zFrhKQqJEWlAQIiwAQs5EgQEAUGgwwi4XBuAfVOXwe+pocjbkoLA10fXj8nE5jm/D9xvpdxqJByWwIHw+qeD9LUmSm0HDm1oIhyT0Uz0aX+wrryWSjxVwuh0/GVlcokyvWqbsglVpHUEhAhbx0buCAKCwHkicCKzHD9RYV52mrmYcjil7GI+rtVnHbprK+XorKKQBHtyRNkFuwkeSpPbM3cDvO8Kor09D/CeITuzsDky8ePDlC80BYOXzWp1zJQfYuFxoz9leylH8bEzq0OYeFnA1NcKad9HqP1G3ltM+TYStTW6yAhcCt2KEhx5aCecZvnA70ENAWsfpkehFbVUALm57LziTwQ9OxC2Ixu0zOZtmp/XltQgY2WSmmvze139XIiwq78hmZ8g0I0QePoKL/DPxZZJbzdUZr/Yz278vDrK9lKwNwduV7kje8UJDPh5hrpdV1FHjjOn4HlPf1SQ1+jO4T+Tl6Y5BbIbI+itcY2HaHLMIQypS8gJhohQaY80RnPhsk59F03C8fv/QTo523DGGX2qUuF8hR+87wjCwfmrKKwiGGkrUnD4nu0wsW4YwXacO/ZNW0bOPFOVB6r2Tl0Z1Shs4Vna+y195+3Kqp9rS/e78jUhwq78dmRugoAg0O0QcL7SCxl/pmLUP9fAPKBpED2nPwv5YCLc7uiPzJWJFOxuAJ3TleT9/jsUyYujUXQ0HxkrKORhrDOspwYgf3cWkr4+Adux7oBFFIrC6f7yRNrrM4TPY0MVPhah9hix5RrSRitUJYpDd2yFAZlbjV1MMWrHdaqN2w2B2Dx4OTzeHAaXWV6KWG0m+0LHxgK5u3KhY2IEu9FnaoAlEQXI2ZIBr1sD1P5kdUEVMlcnoyy+GA4TXWE/zoW0yhpk/pGMSrII8Fy9bg+kuVQidWk8BeeXUuiHCdyv8SNzbdMMNl3l5QoRdpU3IfMQBASBdiNQQbk59yQ0pA5r90Bt6Nif4gRNzpJP1WaYA+3VGePoI7swctVUVU6p8bDRbxxRJkSvOwIp1KEQu6b/ieErp8LczxKJX5ygwPcY2FCIBscZGtoaqRg+I0eNVycTTtTzB+A6zwdZ61ORuSYFo9dPrx/+bN6f+mQGtQqzQ3F4gSLCY4/vQUVqGdyv9SVSK8H+6//BCJovt9EKk+D+mzaj78KhigQLD+Vi/w2b4HaNL63RBOGP7IbPvcHwuMG/yVxrac9y+2Vr4TrHW60l848k7FmagHE7ZpHz65n7nNrnXapvIcJLhbw8VxAQBDoNAR8HE6ygP9IXQ3woju9sRMhzCHgiDDumrkP8osgm+3JMbvGfRGDY0smwHeGopltTVI2Ej4+j33sj1TmTCmtULOzkUngwF84zPVESWajMlQM+GwMjWq/9RBdsGbYSTDpMcm0R8wDKDpOiyXxj2c8WfWiexkRoquIFaX0lEYX1RFhCJJ3wWSRC3xkOhwmuavjY944pcgt+QROKYUL/KGBC5fnakjapnWtlejn8H+0Hz5s0Kdqsh9hj68hVlMKN5mrREKfYljlfjDZtQ+9izESeIQgIAhcEgVrySvyL/mXvZtO+8jmlVPKngCoUdGX56a6QLjU9jvPr994I7LvuHzhObQhdYM2LQx2YGLRiP94FaUsoI8xpMevT1Jyqvc7fTCJMgiwmp6uBcKxhW4mwKps8S8lMycKm1/iPjisHHHbEYW3zJP2uaCXmraMUuwgYUriFVspiiojc/LWn4LnzfmJVZkX9NT5gE6iRgzGO3L9DEbg2R2nj8Zt0uMQnQoSX+AXI4wWBC41AIRWGffTXOEwPtW3XoyqpBE9a4Zmehe0arBd1sgiyVhoRmw+1BKBvTomtSYNjz1LWxFjKk0ub7J3pNg+ZaISZTgcqe9TSP2by92Qj+MXBqKM0anuu2kCaXABC3xoOM39L7Jm7sdGTgL6vD0V1fpUy8Y7+c7rSTpmIKxp56PLcVfUKIr3Gkr0xDcef3IeQV4cgiJ4HChPZNGh54yZd6liIsEu9DpmMIND5CHBFiECKL3vv2oZ/yZ/PUzjXaFph5Pl06b1tSaFKX52K4+9qcoka2hnBoLKcAt81tQhNvahqhK8FUr6Pgf8joWANLXtdCjxPm0KbA8eaJWtqNfSTtjZN3S6JKcbu23ZjyvapzZs3OT9ZdRJJvyTi2Iuk2VEOUd3KKtqfO4XE39OUkw6bZNkMy/uPxccLaO8wX5lgtYPw9ZK0KlQX1SDm3XAEPjUADpNcyZEnCS6098daaOqPsbAebE/7mLpqD1E719TlyZTezYI8Vz3VcHEfHlPf7AXbFUWIsCu+FZmTICAIdEsEypLLUFutgzFLx8CcCK/gMOX9vHMXmRg1RMihDmGLRpPJcCdSf4lToQ5uV/vC8xbNXlrzRVsEWSkiZG9PfW9N1hkOa+C9xnNJ3Aca8uFQeg7TsKF9PrcF/sjemoP9Dx2AJznJ7Jq5XhGhAZXZcrrcHWVxTR2OuBCvFaVtS/qKSjdNc4fvQ6EoT9xNe5MrVBIAJnbes2RpPFeDPvYw1juFbRNWq5RzvJ9p4mGmxtc6/qhOXeRDiLCLvAiZhiAgCHR/BEyCHWAZaAlLIjAWu2H2CH1pADm01NVrW8Zu5vC4qy+KyDHFeaoLnCY4q7a5O3MQ9NrweieaosgilESXYPSmK3D0qcPIP5AP/8cGqrb8UXisEB739kfyr6RRXusFY8cG8+Tg7yaodim/JyPuy1hMWKcptcQXHcc7oyqnEpWlpzB26yycJI/bkthSZP2TiRrS/hJ/SsToDTOUlpezr4DCNIwxNfZa1JI5NeG7ePg+3A+h746gVHFVRKrZiPlfLBwnOMFxrGOTuXreQxl0ZrtTEm99pK9Jg+1JfWRsyiErqS7sRzmo+XWVj2b5e7rKtGQegoAgIAh0PwT4D3/c13EI/78jyNqUpTQ396s84H29t1pMweECbBy/AaXxpTAjberwE4cRT+1ZmFSYjLRSRETHRMZmRyMiOf7Wkl1tSS2ZPMNJ6zRH/sF8MpWS1nkeYj/SgeIRC5XjTv5+0lrv3qPGZhKP+zwGUW83NYVzooC9d+xBeVI5LKgNE/TmmZvVOnhOh/5zUK2j+VwNyUHr6HNHkPJrMmzCbNTzdt20E4VHC85jthe+qWiEFx5jeYIgIAh0AQSCntsLZwoy1ztL9Yi2TPOrWwLh3UrJJ9cr3Ch1mhGSlyTh4MP7UUsela4zXNH/lQEU4G6AEx9EKS0p9P/6qUeZuJrg8JOH4XOrb6uP1qd9QgfSoAoOFdBYbiiOKlJhFEMWDYUxOak4jnfEhlF/nV8Yhb8FyinEgesPshfroA+GqGfwJHjOOTsaUuSdpD3ivXfuhoW/OUJf7K/iAM+2jsZz5fGsQ60R/FiIIloO02DCZ23Xun/TBOPc9lKJEOGlQl6eKwgIAhcVAX9y/lh6dwhMzxIM3xkTsh9hD/7hP/qFRwtx/NVjOPDQPoz4dhRKY0rgfYN3/WMcxzmq8IPKrMr6a2050LfQVyTIbU1OZ2thR5XzCaNgEuXgduuBNkj4Jh5xX8Sq+Z2kPUhzb7P6aaQsT6EQCkMiLuv6YPjzWYfDaAfEfHwCRceLUEFhFjWkzZ6qOTNVXP0DL8GBmEYvAejySEFAEOh5CHCIxF8j16M4WuNwwiWZbAbYoO+zoWp/j1esT1pheWp5/eLLUsop/EAHRvZG5FRCzp2NvCqrC1oPWelIGAU/PGtzFmwGasJpwp89gtzduehzbx9M3DgZ/ndTXtP6GQLOk50xZtk4xH+XgIIjGpPm2dbRqKvaV9w+f5vSksMWDsRl5OlqGWDRuEmXOBYi7BKvQSYhCAgCnYnACQoQf/GPRCzemVn/E0dVGaobBYx35vN4LF0KU7EdYqscW0rjStTwNcU1SPg2XmmIfMFpgiPSVqWCSa6OTI5JPyfCdpCtZh+QzK2sQbImyfcy/sxQY/CHnolemzxF6zs0OmAvUw6/4LmUJpQilvYAeQ597g9QrcqSyuBEZMeOPSx8rzEhc2C8ubc5Av8dqPYCeW5nW0fjubLzTTWFaXgt8IZFHwsURxSh6FgRtAH26oFd4ENMo13gJcgUBAFBoHMRSMqvxIGkEnA6tIspZRW6KAgvxpZZmymInMP3TtEenhNYG1o1fgtMncnE6GJCe3rrVZYYMy8z8F4fixs52rBzzJq+mpADdrApPqHRLtlBpaa4Fuv6r8GoJZpwBdWpDR/s2LKu3xrVkvcpLUOsyEw7Etb9NGUo+twXgPAXjiJ1WTLqKk/CdborEn9MUITceHi/O/yJJNNw4r0oBDwUCCbQltbReK7TjswA99t21RbKNEMxlRSm4TzVWTnZNB77Uh/r0ItqrAVf6vnI8wUBQaCTESihzDI3fhmFlQ+EtmtkDqi//otIrGpn/3Y9tIOd9lIC7mWUo3PhvAYnlJkfhV/wPcJNt+xDwfFi+C/wQMBNnjC0MVTaXvqWHOx86DAs/cwxddlI5djCMXpMTM0ll7w4dUkDtO2rCcHQ3uc/1VzOqa37gNp+bf2uonAINtGej3Ce05bW0Xyu7HV6svpki+s9n+ddqLaiEV4oZGVcQUAQ6JUIuE9xQvK6TPT/j8b0yCAkr8mA6yRHlFL4AQuTWe7hQmRszkE1mSytAy3gM9dNkSZZRlGTq9kfzN6XrwLSyzMqkXuwkNqZw2e+O3RPp1pjgs3cngtDIlSfeW4wIy/U9sr5kqB2HS09j51wGhM2e6byT1cVIcKu+mZkXoKAINCpCMTSHuGMD8IvaPgET9g2zApZe/KQT5qhbV9Ltd+XvacA/R7xR8ziZLUmJrB9zxxDyL1+MKGSTVFfJaI0uRxhjwcie3c+KnOq4DLeAVk78xD/WxqcRtrCfpANIj9PQEV2FUIf9KfjeHUv4GYvFFFA/Ib5lHbttxEdIsNOBbwbDSZE2I1elky15yDw1LJ4bKIyN5YUI3ahpYYcRE5kNXgqXujnddXxo14edlGmxuX2PKc7I+XPTEWEGVuojNIoO+hRQLxW9Ix0MeKt/kRwmtp/HLuXtStPe7vJt66+Dka82V9zjdTF1A3ZqCMz4/GP4zD280FwGqEZ4xS/528SMeiZ4Cb95eTcCFz4/wvPPQdpIQj0OgTcKC7r0SnumDvowqea4j3Cm79uminkfACvrq3D8bQyTHr78Pl0u6RtcykXJ5vnGu8RXswJecxwwc5/H0YYmUfZLOp7tbtKXq2dg12YNWmHSTjxdSKK48uoOsUpWHi3XL1dS3Tc19DKQO21cdhFHSXV3vfMce2QqCEytQmxrD+Xg7YjIETYdqykpSDQaQjwH2nOcKLfgbI6bZ0MP0OXg9TaKbZmhoh7fXg7e1+ablpnmUvzdDKPkkmU3zHv8eWFF2HEu2FIJQ1RKwdeiEAlOaewadS2H6U1W5qKNNL0WhJd0h4bCzuicDknlvFfDVamVT5mZ5Tmbfm6yLkRaIrwudtLC0FAEBAEBIEWEIhZlYnc45r4Qb7tMd0J2x84jJKcWlTmNQTHJ5OpNOmvbLhOdIDDEBuukITk1Rn1NQtbGLrJpdqKkyiIK4cVOc7E/pJC8Yv0Dx36+XPOLqy8ouWco6tvOojYPzJx5Isk7F4Y02S8tpy0td+q6w4gY19hW4bsUm1EI+xSr0MmIwgIAt0VAedBVso8yft3LJ5kHo38LAHGfpZI3Z4P49ORCRl7C2E7zBYnvk1C4ooM5UzjPtUJcURqHEx/LimjdGz50WUY+U4Ydv3nCP74Y4vSBO0HWCP6nwLkRZXALqghe0tBTCnyT5TCa5I9yrKq1P7iuZ7R/L7XZPs29RvysC+s/Vo28TYfsyudCxF2pbchcxEEBIFui4CFuwkMvC2p2ruGhHRNKVzAyxIht3ohdUc+Jr3TF55XuGDltfsRdpcXvC9zIE2xCjnHS5G2M5+K5HoromKPUBbWrMoqKKuMpZE6dhlqDWOq6afrYo703QWwDTTDtFWjUUVZagzIVMqVH6oeO4641dlNiDBmZRZ8pjnCwEwflfmlqKFYRLsgIHJJGhxCLRG/LgueE+3hPNgauRElSNqYA11DXUWceXTe5yoX6keZaU73i1qaDteRlJ90fTbNvwZMks5DNMH5xckVsPDQJDGoyK9G7MpMFKdWwtTBEAFXOcPM+eImOGjrL5MQYVuRknaCgCDQbRDIKq7G9tgisHduZ8sjl7nDkapYtCSuI2yQdagIbhTukLotH+6jbeE22gb7348HJ7PmwPKCmDK4DtdUXohekYXoZRkIudEdhbFlWLXgAK78ebAins1PRGDgfd60+XcKfz98DJPf7wtjW6qeQcH2hpR024h+WIwoaF8rAXNdsO25KAx91FfFH/Iz41Znqb7cJn1vASooRtFjrB2OL05VhOc82IpiGaniBGXE2fBAOIKudVX1E9f/6yjMXY0UETbp90MqIn9JU0RuaKWPdXcdwewlg2EbYI7jdM/S0wTGNKcVc/fDb6YjWFNm0lxLpDh/7fD6xN3aOXeFbyHCrvAWZA6CgCDQqQgM87HEE9M84NQKYXXkYRZnCQxnIjzxmyZHKGuBTEwWbkQMtgaKaKqp8oJ9iIUiMjahHvo0EVMX9YPLMA0xsvfose9S4BhmCSNrA7iNslH97cmhxoTGYI3Kwt1YaXz2pM01F34+J/tmbZLJNo3mYGStD8cBTbPUaPsFzXdByA3u6nTjQ+EImOOCQff5qPPqsjrkRzbseWr78LfbKFsNSdMxm3pzjlLMJBGhVjhJwMB7vYhU3dQlxwGW+HXaHjId18HwtKOPtm1X+BYi7ApvQeYgCAgCnYoAE+CVYZok0p068DkGcyHy2f78CdRQRfqsg0WY8EaI6uFGmmE2aYpVRbWKRPhiSWqFCoHg9lqpLiWzZbA5eK8teXMefp+5F1Y+pkr76ne7h7ZZq99Mgn3mOCstkIkwlhx4Aua5tNreyrdhP4811eDrNMTFHdyIVFsjQpfhGlMotzMirVC7L8rnLEzYJvaGYK02P7pUhYfwdU4A3hVFiLArvhWZkyAgCHRLBIxJi2PT4Inf05WGxCZMFnfSoKKXZyiTJ5stWXjPjmXq//rDzFHjScOEwsH2+qR1jnkxEKOeDUDKljwc+SoZFeR5Ouq5hrRtqnMLHwG0p7di/n4M+Xe12pscSWO0Jo2D/G1IoyuML68n6qLE1pMw6DcL6Wg+Ps95x8vRGPVMAIb/l8o6kWvsLxN3KQ/Z5m27wrmET3SFtyBzEAQEgR6BwPoXYgHKIxrxQ5raG9QuavuXacg8UAR2JmEzJ4uZkxFsAszAzifaEIj19xxF9O8ZKtRh3R1HoG+iS/tsTrSnZ6u0TO5nQHuEHDzfkvxyy1EUZlbBijw3f75ir9qjZHJui7DTSyztJxanVBAhliFubctxjW0Zi7VdK0oQ4D3FASZ2hohZromh5JqNXVFEI+yKb0XmJAgIAt0SAc72YupijLwDhUSEmsK3vJBaKrhrYmcAGzJzahNm83U2nW7+bwSWTNmtNEFn8gwNXqAxT6Zszcev0/cob1ADIsRJ7/XlLrSfaI2tT0ehnEIhxrxE7p+NZNT9XrClZwTOd0XOs1Qu6Sxm0Ubd1KHfdEfkHisBxxwakrbK+5QlaZXNm7XpnMk7bl02fr9yryo47D7GDuZuxihKqIDpeVa4aNMDO9hIyjB1EEDpLgi0B4FPNqXBmfax5g2+OCnWOlKGqT3r66191j4VDWtPY4y617MJBN9fdxhDb3VD0DQHFSsY9WcusiNLFcl5j7KGg78pMiNKlaOL1wjN/lsEhUFYuhjBnrQ71uoOL81An8l2MLUxAN/LOVFG5KkH7u8xROMME74sE9zfgEI3ItfkYNANrk3mcbaTzP2FMHU0JNOuZt/wKJlj88hZZuLbGgI+W9/W7lVRYV6eC4d2dGURjbArvx2ZmyDQCQjUkoNCdkk1lh/K7YTRZIjJQdZnTZZeRFpU0u7CJkCx84xWNr4ah+KMKvSd5YiC5EosfzAC137Vj+L0TuLgT+mKyOpIg9z0ZoIiuSsWUhFcCnnY/VkK+s11Qmv9nULMceiXTFhRPKMZaZ97v0k7LyLkOMGNDx5D6K0eKpyCQyEmvNmxBN5GlBu1O4gQYXd4SzJHQaADCBgZ6CDM3RypBVUdGEW6ahGoOUf2l7SDxShKa4p1eUHDnp5jkLnSGM3Iq5IzyTBp5pDHZsBl9viL9hirKMQihzLHOFLAfOqBYuVokrC9AN4Uj6inr4vW+jMRdkTcx9iSk44uBfcXqG8O67ALbshQ05Gxu3pfIcKu/oZkfoJABxEwNdTH/25q3XOwg8NL92YIhJCm15JpVNvMc5gV9pG2lk2mzVKqLVhFIRMcP2hopge3QZZI3leEnCgixqn2OPob5S+NKQcTYdB0jRm9tf7a8dv7zUnCXYbaqJ/2jtFd+3Vtw213RVXmLQgIAoJACwjUUGaZpXceg4mNPi57xhe3rRyk9gC1TX3H2igNMXlvETyGWsGDSDORNLT0IyXwGmmNc/XXjiPf54eAEOH54SWtBQFBQBBoFYEUyhu68+dMvD7tIF6ffhDvzD2CX56JRV2NJpC8ilKZsekz9Con5d2ZG12ObNL+Tp6+70NEmLCtAOUUM2jrbQLW/g7+mAHnUHMYktPJufq3OrFGNzJJw/zohvBGVzrvMCexAu9dfbTzBrxII4lp9CIBLY8RBASBno8A7/m5BJpi1mtkiibuqyInmU1fpaE4W1OGyZwC5wcucMGS28JhSvF1RpZ68B1vg4Ikyq5NYkGxheaUoNrWx0Sduw20JNNpLfzGa0IxztVfdTrHx0maYzU55lwIsSSv05mPNvWYvRDP6ewxhQg7G1EZTxAQBHotApaU/9M9xAyWRGZaGX+rK/63tRA+FBTP0neeM6pNqBIEaYbBE2zhO1gTYJ9E5k+unxx6sxtSjpXhwKocDLzCHg/tGgm+lxxegqKsapSc0kW/29wROtkWJlyxnvYXD63Nxep3kuBNSa5tfE1gSvlF+97ijgp6hsnp7DZZVMMwJ7EStu6n60HRXI7+lQcH0jxdAjQhE1WUC3Tv8myMXuCs+h5el4eC9CpY2Btg4HR7MNGVFdbgxPZC1efY3/ngLDNDZjvAgoidM+Pkkidsn5FqqUglDTl6V5FaqxOFgQyYYaccfjR3u86nmEa7zruQmQgCgsAFRiAmqxyp+ZVIIw/a9v5wOMr5SPz+Yjj3MYUROcMwGX15X5SqRGFL5YpWvp6Ag6tz1HDc7tfn4xG7pwiOvsbY/lMGti5Ob/HezqVZ2LNMk/llEzneHPsnH94DLFBG3qlf3B0JHfovlvYZj2/Kr5/q9h8zUUrllBpLcU41tv2gSRLO1yM2FyCBvF5ridA+ve04jUdllvqbI+NEOb55KEp5sJZS6aUNn6Zi3YcpsHY2ojVV4PtHo9WwpfT8rd9rxovZVYglz8YRQRrQekywc0km/vlSs57Gc+gKx6IRdoW3IHMQBASBi4LANZ9FINDZFAZ6Ou1+3sK5vnCzadCqmg90dEM+0mjfj02jTBKlRCZzntJUdNhGJNF3gg2m3KtJoO1IJtAVrydi0EyNR6geVZqfQ040LKfIehm1rSEesbV7rIHxOAEjrdB3kg0CRlkpoh1AGhxrikOudARretFETNMe8lBapXoAfYRNsyOypRyoZH41pqoQR0hDHDzTnjS4OkwgTXbIbEfV1IP2KD+4LhzV5RqTaiV5ul5+vzvcKEF434k2eGv2ETWGdlz+Zk1x7nM+8CFPWJYq6ptA4SBdUYQIu+JbkTkJAoLABUHAx94Y/7sxANaUD/RCCZNS0BjKDkNcO2yuPpyowoM5aUUs2eRMwloba2sslIsarGExEbH4DGqI2zOx1FeambpxlntMWMtfTcAbsw6r/oPInMokxIS77sNkFFLwfsLBEvjQfqMZZahh86pW2JzpRZpkxJYC+A2xRFZsOYLG2cCA+ptT2affX4pXWmwdmV9ZuL4hiyGlfHMNMlPHJlR9gqW2WnNPndAHm4j3/J5NmmAWcmnd3NeWSkh1Rblwvw1dcbUyJ0FAEBAELjACzv4m6D/VTpkR2VtUn6q9a8WIPD/DLrfHsDkaDZC1PiYI1sZYGrfV9tF+t3bP3ssY//o8RCXbZkJbRqTIJMqaWAg54rDZlM2uQ+dotDvteNrvgTPssY/2BcsLa0m7s1UkyNoj7znOeMQL0x70UNope8AycbPoUZIGjjs8m6x5N1mZYsfe5AI3Is0DZAJurOGere/FvidEeLERl+cJAoJApyLwy95s7IovalMR3iMpZSiqqL2gGmEZhUh89VIc4o6VgjUpPzIrjr/KEYFETP7DrZSDyoDpdko7206hETG7i3DbR02TZ58PQEufi4NnP3OMvt4Fo65zxsE1ufUmTCY5JjQ2dbLJtLGkUwLsYtozDKTrq99OREJ4Ke78KFA1YQcZO9rDZCJlYZMuCzvmtCYHiYQ9/TTertwmn8YIJVOtV5gFaigZOTvWcL3ErihChF3xrcicBAFBoM0IZBRVw9RQD1yV/lyy/GAujPUaNLRztT/f+/wHfzftszEhzb/fA8bkIHNgUwG+IS3tyc+CMZqu56dW4n2KtWMPTDNKoH3l417n+5gm7Sf/yx0rFyYqAtQSnv8IDRae5OjCWmkI7eNxerbGsnFpJtwp2XcQea2GkCbIWqD76TRtrNEycX1y8zHS/KAI3NrZELkpleSFqtd4mPrjlV+k4p6X/evPx97grBxqjqzPVybeYDK57l+VrdLKdTVCFCKsf21yIAgIAt0RAd7vs7cwwGXBGu3lbGtYZGsEo0amyrO1bc89A9KifJ0McTlpZ1oZRU4r+VQyKeF4GQaShsXOMIOvLsMh8tDkvTYd2o9jmXiHG3ZQxYhc2tM7tLUAJeRkM/ZfmpJMZ7vHe5J3Ecke3pKPWNJCDcksWpRfC1siWhYOybD2McYKIioHVyP0H22Nea/5Y8kHySgrroMb9Z9AzzYjE6tWSopq4UnExeEXA+jbk/KejiAS53mxdvvEHwOVtvv3r5mYNN8J057xwc/vJ+E4eZze/a2mWkUfyoTDP+x5yoTPMuG2tlfD0M7lYnw3/SfCxXiiPEMQEAQEgR6KQCJ5i/anskjNZSaVYGISZFn9bRq+fS0B1kRUheQo8/YDUcgiTYtlM+3VffliHNUvPAVTiv/75MkYsAnzXPdYu1v9XQacPExQQnt971Kow34i1RX0HJCH7AZyWmFizE6twif/jYGhkQ4MKcG2qbkeTOiHSfcvyojDkknB/R89EUPj1MCWykB9/nwc0qhyfRHNdSOFbWillorsrqFn8lzNKW6RjZ5W5GCjT56vjUVLgo2vdbVj0Qi72huR+QgCgsAFQyAlvwpXfXIMeh3Yq/rqlkB4k/dpc+GMLTlk9rQ5rYk1v8/nlZRphsnkgTf6wL+fxkO0gvbvmMhu+I+36sKmyuk3ajTKGAqkZ3J1Ja2NpaV7jm5G+JNiAe8ms2Qf2o9jqSMHnPCdhfD0MkEahSzc9F8f9KX9SZYNFM9nSs45dmTqZNOoZ4AZMsirUytMxoEDLTD3Hk2IhzUF0/NeovlZSir1pVRwbO4MoxRx5uSZ2t1EiLC7vTGZryAgCLQbgX3PDm5333N11CUicKAq7Hlk2vQ+HVqg7VNNe4cGhjrIofJMBmSa9WlUMimIwhb20L6iVgIonEErZqQVcnV7rbR0L4/CIWoodOHn95K0zRThMskNIk/RP4jY/MMaSjRNuda5vl1LB6yBjpml8Wrl+6GnCwWnUI7SnipChD31zXahdS3eRSYXcjYzIYcGEQ0C26KLMNBTE4clmPQcBDwoVdkJitkbTM4njeVH8so0IceZSVc7obryJErJfGl1OraQidPaoUGLYqJsTVq6Z0T7jCz3vOoPa4oLZGHy5HALdt7hkAc2azq6af7/Y29W1gZbE44hLKSMM1rJy6xCKe0Z6pGJtY7MoVopJ01WCY3f3UWIsLu/wW4wf/bUG+hpDkfL1v/n6wbL6NQpllbXofIsruid+rAeONhnW9Lh56gxF+5LLIabdeuZXi7m8mdQzNzbD0bRXp8JRlKIBP8D8AA5xURSHN/TX4TAkpxGHCnXJzvFTLvBBcW0N3eUTJjjKPtLe8WaCvyy6XQHhU1cebvGueajJ2IxlHKRjqPMMG4U0rCXst3MuNmFnGM0oR2PfxIMI2M9VFLGmebC5tcjlEt0DGW7Ya/XZZ+lIoiC8ftRmEU5ZZTJJvOvIwXGH2iUvo3H4D1HNv12RxEi7I5vrZvN2cXKENcOpTgqSm0lokGgjvaTnOUfBu3+dXh/YypuGumk+sdlV8CwAynT2j2JFjp+QZ6ZYZfb4TjlC+V9u1OkjhmQebOOnEiYInRpnrc86YPvFiZg9/o8MmmexLApdmSKtG9htLZfuvm/3lj8RiKevylcmV79KWxCa9686XFvfENOM/s25qlg+Rk3u8KGkoKzufTHt5OUtjihUbA9H2eQefQFCp2woP0+L6qmwaSub6BLhO2AN++LhAURej9K6cZarlaCKE7yrfsjcef/+dXvR2rvdfVvHXpRPUCx7eow9+753fdDNP59mbsQYaNfg082pSkinDe4YS+m0W05PAcCk94+jH8eG6BafbMjE/pEMDeN0BDjObpe0NsvPRuDobSnNp20KTZPfkfEeJQC1Z97yR/2jSpS8CRKySuTK0OwybGzhDU+Y8pew3lJmws/z4zSoTXOCMNz5POW2ldREWEW1hwbS1XF6esmTa9zG+5jSKbVxs9o3LerHotG2FXfjMxLEBAEujUCP3ybjoiIMjz/ah/YkkaolZgTFENInpxlZGb09DbG+EmkbRFxRVLJIl3a7svNqUE0tfGkuL6Jk+2UFsleoJv/zkNifAVsaW9xPF3XjllM+3db/slDNjnN2NBzxk+yhR2ZS1vqY94sLRprea1JcwLUtjNqgQDr7zUjTe31rv4tRNjV35DMTxAQBC4aAk8vi8ex9DJYUb3A1uRc1Sd4X/Bb0gR3bi/AWx8EwapROAET4OefJGPO1c6KtFavyEZWRjWuv8UV4RQqsZnMl337WyAw2AyrqMxSAYUtzL/OBb/+nIFYqmY/icyo0RRO8ezj0fiI8ovWkEb3xMNRGENB70HkibprRwGRYj7e/zS41T6dqYG2hlF3u9762+5uK5H5CgKCgCDQQQSMSENaQPvZ4wLODIrXDu10jr3dNZRGzJzi9DikIZKyyYygTC5aMaQQivsf9kIokR1LJZkZjx0t1d5WJkq+z8IJufftKVTH6RR24U5ZawZRqMVIqmwxaKiV0vhYq5xH4RBTpmn2GAOCTPEQ1SOsoAr0rfURIlSQNvkQImwCh5wIAoJAb0bAiPJx2pkbnLXe4LnwsSZHkqef91Mk9vmiZPhSNQpHJ41Xqz8Fr/9JVRjWrMxGGmV5YfOlC6U900rf00H2fG5OOT1rKGsLy3xKb/YJpTC7kxxYQinB9oTL7GBI4RFsArW20cdH7yYimarPa4sGc0WL1vqoAeWjCQJChE3gkBMIB0sWAABAAElEQVRBQBDobgiwB27NyZMopqoSHZXyqjrUdDCsZTSZKU3Jm5L3/g7uK8ZHVP3h+df6qH3Arz9LQSHVI5xD8YS+FPD+z4Y87KPqE1rhoPvGonVldKVA/dfeDkROdjX2UnLsRUSKFkSUVRQn+BVVi7/tbnfcfLuZihm89/bj6ru1Po3JtvGzevOxEGFvfvuydkGgByCQU1KNdcfysfZofodXE55ahjpinyvCKAawHZKVW4312/KU1yh3v5Mq0f+X9vCWULmlG2gfMCuzGiPJVMr7eZxtZue2AnKQoVyg2/OxeU8BBodY4PsVmSgsrsEQ34ZsMO+9kYBAKnR75RwnzKTYQCZQNn/mUuC7C6VYG07JrVlW/KbJBcqaZmt9VEP5aIKAEGETOOREEBAEuhsCT83wAv90hixcl4xBlPyhvcIaXG0jjdKCKkHc86AnFr4cj75k0pw9zwnffpmKbVS7j4lwGBHYxvW5pIWerO83bqg1qskJJpdMp1q5jgL1P/s4BZs25pO3aS3tFVphAMXtVVK4ApPpfx6MhC55hIZRhXsHynXK+4Ot9dGOKd8NCAgRNmAhR4KAICAIdAiBoVNsEJesSWDNWt32/UUI8DHF2Pn2OBhfitmTHfDBpyEoopi+LMoqw1rg2Dn2qCLHGisPI9xxtweORJaggkhy5Bgb9XM8pgy7DhXBLtgYA5yMMWOCHUwpVnDVxhwM6WeJwJGWyMqpwoQRNhgUaokbqdIFJwDfsCMfTqGUfYfYeXiYFYYNaFqYt0ML7WGdhQh72AuV5QgC3RWBeynxQohr2/KvJuU1aEudud60girwz4mshmoMzce/frgj7Mwa4gKb39ee51E+0U9/ToMPpSObPNIW+48V49HXYvDdWyFIz6vGk2/F4aopDiigOMCf/8hCsJ9m7QePlyCPro0g4mICfPOLJNx8lQscKEZw6dps5BKJ3nO9G379MxvLN+Rg3DAb2Nka4rE3YvHFq8Hw8zTBW18kI4PI8YoJ9kjJrMSTb8dh0UuBCPJtG77aNfSWbyHC3vKmZZ2CQBdHYHd8Mab2bZqsurUpG7aQOaW1tudzfXqoLbJLamBFxX5bE4PzKOFUSrk877/BHcH+ZphIGtvse46ilPJx/kTEN3WMLW6bpym3VEDaY7E2iXWjB3MR4efu98Ggvppwi3LaFzxwvLi+xdD+lvVjHIooQURsmSJC1kLvvMYVduTBytrh3iPFiKM6g0KE9dA1OWj9bTdpJieCgCAgCFxYBGyIfOYMbFvOzY/+Tr0gk5nRv31OMq1NxoQSUQf5aXLsWpGXJwvv/yWkVODysQ2kz0S3ebcmZrDxWCFEoL+T5rdkTRYS0ypVuIW7c0O4hZYguY8Fxy7S2CyDQ8npZmUmYhLLkUNB+WVEvtrQCtVAPpog0Hp+nSbN5EQQEAQEAUHgfBEwIM21pbybNlTkNrNRqaNCyhHakrz7dTIO0Z7h9Vc6YzGZVBfMappP1bCFFGmVtL/4wIsnYE15TB+/yxNLPugLHwrGF2kdASHC1rGRO4KAICAInBcCqw8UIJb25JrL5S9HYtU+TXhHdHoF7J0M8c+uAmUmZVPp1r1naoMn0iqwdk8+Rg20QliQxpP1750F59TsSspqUUIZZ2ZNtoe3mwliySQanVDe4fjI5mvqSediGu1Jb1PWIggIApcUgRqK39M/1TQoniekAvXpHstXf2cjjJxW9EgJvP6R46QxAgODzVFG+3+NheMZi8gK+uu6bKynOMNqKtnEjjHsLcr7fq2JAznOXD3dEfc8FwVbynNqQcH9YwZbIyXjTIJubYzedl2IsLe9cVmvICAIXDAEbMgEGeqp2RNk780/Pg+rfxabSN99OQCPLU5CCZHavZc749HbPVBYXotlewtQRl6e76xKx4JJ9nAlMotILUc1ZZp56hEf/LwlF47k+DJjrF29c8z3b/etH5sPXn7Yt/78vhvdcQc5y3CWHHMKtRA5OwJChGfHR+4KAoJAD0Xg9wM5cLdtcDxp6zL7u5nBxLB95GJOZYpMyBPUksjJin5O0ebUVDKbzhtphxEB5lhJhPjLjijsXdhPTaeYknI/81MKrhllh7UHC/EHmV7/eaEpAbY2b/Y4NTJs7a5cb4yAEGFjNORYEBAEeg0CTy+Px9xB518Y2cfOuN1EGEh7dl4ORuhHWuMAHzOk51fjsdmuuHWio8J9qL85hjwRjtJKjZm0jr6+us8PjuRcM6mfFQY+dhRllA/VzKh9RNxrXu55LlSI8DwBk+aCgCDQMxBwszbC63MbzImdsSozCpeoILNnc6miKhKmVLm9ubAJlEnu7s/iEZFCDi2n9xG1oQ4WVASX77O4UVuWEnKuESJUUHTax5lvptOGloEEAUFAEOhdCPhRCrTkXE3WG3ZoKa/mahYnkVVUAx/HM0MYNhwpxOO0ZzhzsA2WPRGIlU8GKcC0rjBUFUrkIiAgGuFFAFkeIQgIAp2LQFJ+Fe7/KaZDg0Zltp5Grb0Djw6ywPtrMjD25XCcyKmADjGaraGB0gZ9HDX7kdVk73xzbRrum+aMRHKQ8XM2xqwhNuqRz/ycpL61mmF75yH9zg8BIcLzw0taCwKCQBdA4MubA+Bs1TFPkD2U0q2zxZ0K5dbon0Rmdi0MqzT7ePYUwpBcVomf9+Ti1jGOGOBthj/2FeLhbxLxwjXuWE6xgqOfOUbVI4CxIZZwoIoVcRTqYG0u+4Cd/X5aG0+IsDVk5LogIAh0WQQmBmk0qI5M0JI8ODtbnl+RjJmk3X15mz/yqVySGe0LGlH2l23RxZj5fgTmDLbFpP5WeGtjGm6khNhv/pmGCVQ6aXaYLXzJdFpEZZVcHPUxijRLluPvD8D6YwX4O6IIfcjsmvr5IBiKvbSzXxvEAt3pkMqAgoAg0FsRYMK7apAmh6gt5f5kEmQZG2AJa8qlejCxTJ0XV9bimWVJitz2xJXi9m9jYUAEl0PJt99al6baVFHe0NGvHcX/NmUi2NUES/fmYtYHkWcNplcd5eO8ERCN8Lwhkw6CgCDQExBIK6zG5HeOnPdSvrolEN72Zzq+1NDeXwY5xXjYtBybGEAaXUR6ORwtrcBhEd/f1YeODTElxBrBzxxSYRGNJ/Pb/jzkkla5+9n+Kl/ptcPs4fmf/dgYUYipoR3XiBs/q7cfCxH29t8AWb8g0EsROPHKsE5duYGeLhGkkSrj1NLAWaTtBTpToVwSNssyCbJog/o5eL6xnCBnnknBVvVJu00piH+UvyWisyqJCBu3lOOOIiCm0Y4iKP0FAUFAEDiNwEg/C6w4mHcGHoeTy5BMnq5DfTXJs/X1zsxH2ryTBZFlcrMCxAm5lXCz6ZiTUPPnyDlkj1B+CQQBQUAQ6CwEXrjKE5ujivHBhnRUU/wgC5Pg7V/H4JW5XrAyabsR7rIQK+yNL8WhpFI1zl/kNJNO5tyh3hoyVRflo1MQaPtb6ZTHySCCgCDACMRlV+Dr7Zn4ZJPGMUJQAcLTNI4k3RmLh5fGIK+qQnl6vv9XOqiAhMoMc+c4J3y0NRl/HM/Gu/P6tGmJA73M8eY1Xpj+XgTszKjSPA325W1+2BCVj9tGaSrbt2kgaXROBIQIzwmRNBAEOh+Bd6/17/xBu/mIk94+3M1XQOWWaupgQBnRhvUxxaqHQlBM4RC2ZvpYH5GPfKoT6GB+En3dTJH09pAmay35dIQ6d7E2RPI7Q+vv3TXeGbePdUJeaY3aU1wTnofvt2QJEdYj1DkHQoSdg6OMIggIAoKAQmBWP3ssP5SLF2b6KBLki78fzMH0UFvE5zTUBMwrq8GKw7mIJevAlBAbTArUeILuiC0C+d0gpaAKexKK0dfVDDePcCZSrcXywzlkHq3C/7am4Z5xbiqUYsmBbBxOKaX4Qh1MCbbFuD7W5G1ajTXh+QhzN8fvh7JhbKCHO0iL1CYh4Ps/7MlGYl4FXKyMcONwJ3Du1d4q4izTW9+8rFsQEATOQOCLrekIe3G/Cqvg0IqWfhLJYeVsMsTLAlxUl8mJpZLiAbfFUsgDkZRW9ieVYMAr+xCTXQ4n8h6958doLNqiMZNvii7Azd9GYUNkAUJczPDe36l4Y30y9Cn1DJtIOaDe+bTH6YNLYvDj3iwM8rRQZDf703AcTC4Be6g+tyoBTyyLg6etMY6ll+FKusfC1StGvHEQOSXVGOVnhUMpJZj+0VEy42oznGpn2Xu+RSPsPe9aVioICALnQMCNYgBvGuGExy73OEfL1m9zxfk5AxyU9jbAwxx/kVl0YoANjBplhFn4ZxKuGeyIhXP81EAce8ikds9YV3VuQF6ln98YqI55b/CPo3ng8AnW9vYRiV5F47OwxvfcDG+l6XGS77+jChTpDSZiLKyoxWtX+YKJeS6193l2N4roWikR4VPTvHDHaM0+43BvS/R7eR9K6Lqlce+khN65avUrJB+CgCAgCFwYBOYNdMAt30bixVk++O1QDm4h0yZXotfKiaxy3H6aiPjaZEoZxwSVUVytmownwtOKjakBqjgCvwWZEGCNtzck4wg5GrHJlM2n2oTd5lSzcLCnxsOU9ylZqsiTlU2gThYGuH1xlCJNbckn7XcLj+nxl4QIe/wrlgUKAr0DgWNppYoEjE+nNWvPqtmbN5ccUzoqrAmyZsj7fWyq/ObmILUfqB3XksIokvMbTKyJeZVgLdCRCIpFm5pN274lqyWXeJr64RGlRX58bR8EOJng8g+ParvAkMbT4Uk0kz+P5+PfS2Px7tX+eGOOL3mjAn3+bw96r2EUECJs9ksip4KAINA9Efi/lUmKTOxPk0l7VhFJKdDMjM4kj7aOFZ5eQnt++sqrk82jD/8aS+ZGHYx+dxfuGOFVP8yUYBv8Rg40V5N5lDW3b3dlYBiZKDk7TUtSR2z1ze5UeNuYKa2P27CGyT8cSsH7jEdTS3GEfuYMsG9pCHVtT2Ih0gpqKMepCSX61rRjjZJFNEIFg3wIAoKAINB9EejjaIL5Qxwo4FxTuaE9K1lL4QmcD7S9cpIsmExaLPMG2eOdjSlwJWfQDQ8Nwd4EjfMM33t8iicScqPR98W9al/Oh3KXfn9bMN9qUdjk+f3eNPxy20BwKjbPp3Yh6bURuH+8Gya+e5iI0EAl9b6inx054FSovcSWBqqluV07xFGR8JDX91PpJx1y4rGBl61RveNOS/16+jXRCHv6G5b1CQKCwEVDoJ+HIUacTqO2eE8KAlx08Mc9QyhEwZiScZsQOTogLrccSw6kw8VGB9/eGoCRPjYq48yOuHzE5+og0MUIexMrlAZ48zA3FVrxZ2QGtscXYNmRTGz9TxiWHsxQZs9XyRnmyWmeeH9TIv47xVd5lJZW1WLZ4UwsGGGLdRTAf1mQvdI0A111YUMVMHjP8f1r/PBHeDbuGu2Ob/ekYetjA9V1BuoYabVRWaWYP7D3BO0LEV60/0XkQYKAINDVEUil2L31tIfGMX6tySOXudcnzG6pDeuDTyyPxG9ERnseGwUHi4b4vOMZJZj56X7cSATnYW2MR3+PwH+n+uGW4e7YHJOPxaT1je9jixHe1nj/nwRkFlXi3xM5HtGQ9vwobMLCEBkU9vDJtmQ8RNdZuKDv23/H4+GJ3nyKBd8chgFdnD/QGR9sTsSh1GI8fbm/uscfTHTzvjyI9+cFw97cCBujcmFL5Hj7SI2n7Hv03MGeVvXte8OBEGFveMuyRkFAEGgTAlNDbJVX5dn2GTkZ9tnk4y1JSrtiD03W4uaEOdc3f3tjPJ074eWZAepakLM57ltyXBEhX1BhEwv6qXtsYV0dnqXCJpgc9yUX4Soai4mtNdlBzzuUUoTElyZCn4hzXB87/Erao1YiM0vxIZHjJ9f2xWWBmj3CG4e6KbMrEyGbYNdH5uCNq4K0XXrFtxBhr3jNskhBoGchMGrhQbW31tgpMjy1DO5UmaEje4RcZ7ClWoPng54TaW3L/zUYq49l46FfIzDQ3RLedqZqiMisMuRQVpe/T2gqVHCMYGZxFcX3aTTQcf4NQfeasAnNfmNbn8/a3khfG0WC3MedtM5HJmk0Rz5/5c9YsCuQjYnGO5WvXUXE/MSKKCTlV2BrbD7G0hzszXtXhQshQv5NEBEEBIFuhQB7Wv56T4gyF2on/tSyeAz3ab+jjHacjn5fM8iF9vwMcANpWn9G5OD2H8Ox/v6hap+O571gsBftzXmqxzARsgMLt2cxbhR0z+ctZXthU6i2sgW3KaAgeRamTBMKuk8vbAjLYMeddTSHacEa7e/deSGU87Qa9y45hm2PjFRB/uZG+pjd3wm/kyl3c3Qeza39yQTURLrhR8u+ut1wITJlQUAQ6D0IsLcjZ2rheDvtD4ce6Ohe2j9pUVkl+HRnfL3n6AfzQ5BGxNT/9c1UeSIDU8hxZQmZKjkGkDPFfL4jBdd9faj+xa0IT8euRI22WH+RDkwoV2gJmS1ZHEhbKyQNMjZHU62jselzPGlzUaR1as2nfG/R1qR6DXFrHOUXLSiCBZHf6+tj1Xj8ceNQV/xCDjzsJDMtRJO1pv5mLzi4tL81vQBgWaIgIAj0HgRYw0vMK8dH2zQkw04ui2g/Lr2wlvbuivHvCd4IdbVA31e2YtDC7VSVIgcfXt23HqAa0uC04Rf1F+mgr4u52r/zeu4fuFga4e4xnhj9zi70e3WrMq1anU6N1seRcpOSE8zMT/dhII3/1a4UvD47sH4o1j6r6k7h42v64lNyuNlP+44so8icylom70G2FstYP0gPPBAi7IEvVZYkCAgClwaBIT5mmDfQCQs3niDtqkRNYjI5pQz0NkJ/N01i7M/JGearG/tifKAFJgRZkjmTd+2AZ6b5U+1CXeSS6fLVDVEIz8zHB1drYgsdyfP08Ske+OWOMDy3NgJX9ndAzPPj8Z/LvKCjV4NbRznhcFqhGudm8kDd/dhIzOpvgzBPExxOL6Bg+ZPY98Ro2qs0Vm2CyUkn4aUJ2J6QjeOZGucb4nDo65/EIyuO4M2/TyCtqEK17Q0fskfYG96yrFEQ6AUIcGq0LScKwSEQF1ImB1mDU6S1JiO97SjMwRj3/nYIG+8dSyWVNESnbf/+lhgs3peMe0f7IpLIctIn2/DP/WMpnELjUPPEqnDKQuNNVSJO4vL/bcdf94xBgKMFFu1IUObgUT52yjT69JpjSC6owI1DPBGbSxllvt6lnjfQ3Rqzv9qFmSHO4Ll8visB4elFeHt2f+0UUEF1Excs3gsfOzMk5FRQ4H8i0ovLKRTDFqOoz/Kj6fjp4A4cemxyi2na6gfqIQetv80eskBZhiAgCHQPBHJKavDp5vQ2TZZr+NWSKY9LEmllkBelH6OsKxeaCNl8eS557vJgjPlwMz4g0nt0oiZUgvtU1dYpbXHprSMwzk/jwMLa2ifb4rBwliZs4pZhXvjvZI05M6mgXBGZlsRupXt3j/JVj2eN7dmpwVSSyVjVJfw7JhvhGUUIdrJASmG5Gn9SH0eMJuLMKG5woOGwDiZBJtc3Z4WqwHpOyv3cdH88NF5TDWOYly3C3txIFSlqyTu3wcP0XOvurveFCLvrm5N5CwI9DIFrhzmS237b/uhyQunmcv9E9+aXLtk5O7csmj8Qs7/ciemkmWklKb8clUREDy07rL2k9v7C3BoC2Cf6NzirjPG1x/qozPq2gUReWplA7d7ZHIOjpO2lEykWV9aofKFchPeNmf3wr6WHVOLv6UFOeHCcv7YblhxKoThHQwrrsFba3pXkMco/q8mZ545fDuB4RjFqOFccSUv7lfUD9aADIcIe9DJlKYJAd0bg2Su82jz9r7Zn0H5WgzbY5o4XseFw0qrYxHnvr4calUbS/Mn9/bYR5PSi2a+rJo3QSL8hSJ89QrWSTBqhLZGWVrSOLOXVtcpsevcoH3w4NwwBDuaY/tkObTMK0fAAa5bsgfrN3iRc8fkORD99ubo/LcgZr8wIwbiPtmAWkfQgDxsi2yzaGzxK5tN+WDgzlCpSnELga39R+Eb9kD36oGv/JvVo6GVxgoAg0NMQSMwvxU+HEuqXxaZLNi+yQwqbRYd/uFaZLr/ek6i8M5nY5n69m/YMk+r7vL4xEk+vO6TMmesiM8HE1VyYLAsrqsGmUtYSw0mLO0KaIZNqXlkVgl//C4n5ZWCN8oExfqikPUH2GGVhxxtfe3M8QeZX3sfkeXHbPvZmmB3qSuEZRvhhf7Jqq9UM1UkP/hCNsAe/XFmaICAIXFwEWJOqITLSCptIPyUT6eWfbVcB76WkyX08L4xMo0fRd+EGFUDPZHXXCB9tF9SdOokf9qZTaaZ05Qhz9QC3+nvaA1crE9w32g+TydGGic2aAvJnkHYXQ04zdmZGeJ72KOd9s5vG10N2aRXemxPWZD+Vx7mfCHLZ0TS8Th6uD4/3x29H0jDs3X9URYopgY7wsvl/9q4CrsqrDz+zUUREWlBBAQFJBezu7nZ2burSzZVzbuo2uza7uzuxW1EUCxBUMBEFlVAxvuec670iAuo3ReKc73fvfd/39PPy+ez/P//Ii+DbMUziq5FctXNnxt9PGLkgTYTfAwcOoHv37ihWrFhmxFHtKRUEzhathnGfVkGLCmVTaaWqFAJvj0Ddcaex7vNSr/3j/vYjfJiWI3eewZmb0VjQvqKc4HbMQ6w4HcZA2XFo4myNmlN3IPyn5sxBmBO+wTdw4NJtSowJcDY3RAdPGyklDvcNoDQYD58ixjh9IwouFgXRkXXaJLt34x5hzZlwXLzzAFVszBig2wQFUjBouU0SNKYvo7bvm3YdFfeYa8uR5XwJ00wiNDAwgLe3NyZOnPimd6HqMxkCP2wcCOfiDTLZrtR2PiYCQuq6Hv3oo/yDLZLg5kjGWCcpHvEJT9Bi3h4UL5Rfklq/VUd0TbYFXseANcfwTVUnSmB5MfHABVyiWnVoHTfZZlVAmJTMSlkYYtTuc/QtfIQvKzvC7+odNJ+7B+09bGCRXw9frDuGARUd0bf8S8tU3SS8EGrOdynCiCYrljQjwmwMfZQrVy4UKPDSOiorAp4V95yX0fqzZ3tpDJAVMVB7fr8IiLO1n9ZcllaR73fkN482srktChd8M8FsvnCdcT0fYW8/jZGKtWE+dFy0X04gVKbTWtGFwtZM3oscgntCb+kmd2M23/FNveS9iPiyV9Y54s9dZ9HatShG1PeQdVb0PRxIQu1d1g7Zkvgr6gZTF29EIM2I8I0rUQ0UAgoBhcBbIrDli5fO4W/ZJc2bnb91jz58prp5K9qY6Ii7tFUhTD0cjEkHAhEYcZ9uCs9gS8lRW+yMDbSX0tFeGMaIItp29dL4+on7GiXMIc4dbzyIR+ECGod88VyVd0NAEeG74aVaKwQUAgqBt0LARD+PDGGmbSzITGuR8c16P9zi+eHXVZzgWdgIc/1CsOHcNW1T5Egk3Wn7iErh3B4WrQm2Le4vR8VI9bAp51Ll/0dAEeH/j53qqRBQCCgEdAgsDwjBmH2n6IP3CaxHzKOU9wniH+aE5R/zUa24BZyMNWpQ0UGcBzZzKcJwZiYMd/YEK2lQkz1xckXdqK9e1LK3kG1bUT2aL1cOzD0eCm/rQh/lrPTVlWXsO0WEGfv9qdUrBBQC6QSBBiWLwt/7HgJvP4BPsQLYGhSO5k52GL3nPE6GxSL3Jw90hCUMX77beAJL/S8z0sxTOrZbYfaxEBkqLbXtCAlSkKjLqPVSOrQx0secthVS66Lq3gIBRYRvAZJqohBQCCgE3oRA3pw58Ec9T9ls2tFzMmlwv/Il0aesA+49fMywZrlJek+oBg2i68M9Gfasrl0RWPJsb1fINVgVdJQGLz/UcMHBKzcx/0QgOnk6oJGzFeKfPsLgLYclkXbztsGkZt50kH+G2McJmHX8HO7QpcLF3Ajt3e2oVlVxUt70rpLWK8SSIqLuFQIKAYXAe0RAWHMKEhQGMQ1mb5Kk52ZRCKvOhKL/+n1yJgcTQ/y07Si2B4dLn8NPl+2k8Yu+rBuwbj8W+QfDw9IEejlyoNn8LQiKjKbvYC40mrsZcVStli1iJtsM3vLSReM9biHTD6Ukwkz/itUGFQKZE4FaE1yQJ2deSkBp65ozofVCWBd8GQnmbdHdFBiGa/djsaVbQynZtXUrAftRi3Ek/BZ8rM0wtmF5fLXhIK1HDdDRww7Vi2siygjS/Kl6aaZ2yitjgPpSejxz8w4cTQ2ZZSIGlW0sZdsKRc0lib7telS7lwgoInyJhbpSCCgEMhACVgWLYUyLOZS2CmWIVZ+PiJJRZLwmrdStVwTPDrwdLYmwmbMt5p0IIsndxYoOGt9D0bCqbWFphHOa5HedRHqPWSZEKqg8lA5H1iuL3qv2yMgxde2t0b+8JpWTbgJ18VYIKCJ8K5hUI4WAQkAh8N8QyM+wak6mBbG2cz3dQCLgtXguyplbd5lNPhIm+fSw0D8IXUqXlGrPurM2oJePE8Y3YoJe4wKoT/WqtrSjVNnZ0x6Hwm5hjl8gGs7ZhMBv2smoNNo26vfNCCgifDNGqoVCQCHwnhBYe2ox8ucxYKSh//5Pz9Xoy4h/HJduJUIRxFkQnTbFkpDsft52DCdJdkKNKSTEurM2Ym/vJlLt2WvlbvxQzZPuEKZozLO/SsUsoEcDnGga2nQp7QAz/bwIoFR46kYk45YWo4HMQ5SeuAK+PRqhItvmy5WTlqph0ogmV/a0VRe/pz+PjzbMf/9r/GhLVxMrBBQCGQ2BqQdGoVLxmvJs77+uPSruDonm0X8d5r33D7kbjXknz8ooMA5jZ6CstSX6eLtRxVmEUl0FtF+8nYGw9Si1ASPq+jDLQ378sPUI8w7mwZwTJ+FuWQM9vBzRiyrPrd0bom9ZZ9Scvh6m+nrMMpEb9emmcTHyHgqx/ZAaZdBy4bYXWSbiMaZhBVqrpk6CnVdsQgMHW7R2Kfne955RB1REmFHfnFq3QiADImBuUBh9Kg16L1Lc6WvHYZi3YLpCISz6PpouWI3OHs7o0N4JBrlzY8WZQHRZuRkHe3dABw97tKOLQ2TsQ0ls2sUPr+MjLz0mzZVpmH4mwf1cQ1P7e21vGst4kvSfSUtRbR/x27VMSfm5HRsPYxLj22SZeEgr08SpohKPl1WvFRFm1Tev9q0QUAi8dwT+3ndUSoDfVPLWjd3ZsxTC7j3Akas30IwO9tkYQSYyLg7Tj5+S0WTauzmiiOHL2KLajsJPcGdoGN0twmBXiKmYPJxkVURMHLZdvCwlwuPXbqGXlyvPFfNiWUAg/G9ESImwZomiVK1ayfYi097a8xdpnXoD5YpYaoeXv8nN8SaJ8pUBMsmNIsJM8iLVNhQCWQ2BK3dD8O2q7siZI21TB/1SbwwsCmhIJinmx6/dxHeVNdJd4rqfq5XT3Q7bdQirzgZJdem5iDuoOmMJtnZtJclO20icLdaYuRQWBvnQ0KE4lpy+gBXss+HT5oxRGoshvgfY3lD2EcQ1cIOvJNuObk64eDcKzReuwTaO6WFphuF7jmDjhRCqW12pej0jCbGxYwl5fpnSHIKss1JRRJiV3rbaq0IgEyEws8NaSj+5GY0lbeOCmOibJ4uiyE5/8U40rAq8zCKRtOGDR48x/qAf1nVshvJFNX6C0Q8fYdwBP0xuXFPXXBBlZFw89vVqJ9WdrVwcUHzUdPiGXIG5fj5ExT/E3Jb1aUCTT/ZxMzfFj1XL0egmn/Q13Ekp8sytSDibGXPs49jUuSW8rMzRyd0JNqOmyT6pzVGrRDHdWrLChSLCrPCW1R4VAh8YAa8/C6OwYZE3znLuxincvH/jvZwR2hjbvXG+tGwgpKjiRobMCHEPZQq/SpYisHaeHNkhDGlEdBhvawvd0qrTiGbRqfO6e3ERFHmXxjXWujO/vDlzSrVm8J0oSYQGuXPpSFC0r8K2Y0h4ATdv49qDGNwnuSZQtRocGSVVpZ6WmnRQOSk9atWjqc2hiFCgqopCQCGgEHgHBAQJrul96I09ui1oDHODlyTwxg4ZrIE7CWf3pXC0LOUgVx7z+DH0mZC837rtNHTJjf7lPBGbkEBjmXgpvYlGV2hgU9hAE05Nu938JLojV29qb+XvJRJsYQONtJn4HC+O49Wbs4JnhW4Y17A67Hme2GCexmlfnB3GM76pMKYR0qIoYm5R3jSHbJRFvtJWp5BFQFXbVAgoBLImAj9UKYtNgaGoPnMhXCZOgf2YCbD+azyfhZAEPVCMRjElKDXOPhEgY49evx+DDTy/K19EoybVola9eFGI80Zh/CLKdhrH3KCkV5pnfklLdPwj+ho+omO9MxyMjaRK9CT7Ddu1h5apeeFsaoz5/meZC/E5TlNiPMWPKO8yR9I5M9u9Uo1mtjeq9qMQUAh8NAQMGQjbKG82SmAPcf9Rdqol8/OcrhBVlbEYuWcvpjdrghnN66Ln6q1Y4H9OpmBq51oS3cu8GhrN3cIUI2tXRqN5q6R/oSCxea0ayPNHcT6YuFhSmuzr7Y5as5aR+PLBkJJnHZ7xxT9JkM3m8Syx4/IN0rcxZ/Zs8LHSSOSpzZF4/KxwrYgwK7xltUeFgEIgTRAYe/AwShQqgCVtWuHx06eS6MR53rX79/HVpi3ymau5Cfb0bIspR47J57bMKSjcGMT53cnPO8vrbRdDEHz3Fh3mvVDP3l6qRCNoLbrA/xTdJvKiE4Ny34qJodtEPqy/EIgnzx9iUGVPql/1YJFfHzYFDbEk4Izcs41RAaylcc4MvxOIiHnAegOeP2qsXruRgIUkKaLUCOkxqxZFhFn1zat9KwQ+AgK3HzDP3pF/oJcr4/6j29Kjc4rGPkfCr/J80FkiK87xtGd5hQ0MsLRta/lcpGNqOH8hHeDz0jXCHksDzmJTUBBWtGtDl4YnqDFrriSzhiUd6DYRgFXnzmNDpw6S+Ibs3AU7o0KwMy4kxx5OKXNzUDC6ly6NDYFBOBgWTveNijLc2uj9B/GZjzdzFj5Gxekz0YrrKl+kCFafv4BFHPdEv97SGCc7rW6zMgmKl6KIUP5pqi+FgEIgLRBo49mNsUYLIEf2jPtPT45smiDZyeF1NiICg4wq6qq2U7LbdemSvKd2E91Ke+DC7UgpCW7+tKOUAtu6usBh3AQax1xFKH0AhbP9vp7dNG4TJK/io8fRbSKU1qL6L9wmmtFiVB/xNJIZRwnUt2tnuFmYo4unuxxHN/mLi+iHlBYrVZRzi0feVoXhPvlfPCBBisg3qigiVH8DCgGFQBoi0NGnTxrOlvZTCUktKDISVW2KyclF0OyCVFeKMvnIUdQqUVwSofAn9P53unwuvuKYaT6QBHkpKlr21YZK07hNWCP4zh1JhIK4BAmKEhh5R1qkupprDGiE+0blokVlXeIvIY0Kf8Oeq9fibMRtulU8ldVCMlVFg0DG/c8y9QYVAgoBhUA6Q8DHygpbgy+iR5nSMpRaRRKT+Igy76S//BXuFE6mJljToZ28F19CJZqfJDfh0GFKhvd0z8WFIEdBZqJoVa3iukQhI9lPRJox57mgKCKqjGfhV8OobeN6vtq8BX/XqY3htWtKh3vH8ZNoRSq7qC8ioNwn1J+BQkAhoBB4DwisOHsK807tx57LVGOOHA6rv39DkdFDYTVqKHymTsFtqjxFqqSqtsWYiukGXSNuQEh8V6Kj4UFVpTCoqW5rS7eJ66zT+BAK1eqNBw9QOgm5ieUKQq1iUwwTDx9hwt9H2MgzwoBbt17byWWOX4Lnio0dS0rjmoWnTss2WsnwtQ5Z8IGSCLPgS1dbznwIPH7ymP+l/0wXiSStd6jUbEB9e0caoxTDXYZG67NunYzq8sknGlmjkJ4BpjRsqiO0cQ3qof2yldJgRqg0h9eqgaKGhvyAbhM10YjGNEY0ppFuEy2bw4oSYRTHTVpG1q6FzzdshNukf+DOc8LSlhbImSTkXOtSpbDy7DmUpSpWzFWzuC2KFCjAcHB3dWrWpONmtXtFhFntjav9ZkoEPp1Xj75q0VSvvZ7FIC02HHgrIC2mSddz5M2ZixJeLljmL8A0TC60zgzA7GbtJdkJy0xRHtK3b57/cZ753cZPDMRdz85Jqj0j42L5/BjczC1x5V4E+vi4oklJF5QyM6fxzMu6dm72GLF3B7p6evPM0IDS4zUsaNUcy874yzG3BEXK+RxNTBD0ZX/MOXmUUuIN1LazJlE7S8lQuGnUsbehlelpbA85x3NLB1QoYqPDdtvFQBr4BEtXjI6upem7SHZ+UVKr07bJiL+KCDPiW1NrVggkQcDJ3A0NXVrD07pskpq0uW06tVzaTJTKLOtPL4XlW8Q7TWWIt6pytnBnYmGNAcybOmgNW0Q76TaxYAaT8jKjhL0TlpK8tgQzq0TbLtK/b8iuLXA0NkMLJ1cS0UVsDDqHgz0HJlvXfPFsWbcz9BK+27aFZKWP/HRJuRsfT/XsYTR3diJh+uL49XB86u6Fo1evoOWS2Tj12TdUu15DjzVL8V2l6vK8sOPKBZjfvAPPMm0x7tAeLDjlhz5e5WnUcws15kyBb5d+kgxTq3sTDum9XhFhen9Dan0KAYXAWyHw+5Zv5H8MvFXj/9CoiJHtWxNh4mk2BZ/nOeA9bO7US+M24eIBhwkjaBxzhSSWG/fo5jCsRj2qN63R1NEFduOHU8rXRJFJqU44xm8OPgOfwjYoaWKMmc2aovyM8XJMIXWWNDZllBkHNOd4de0cpbN+SNQdGOnpobqNHfMgFuR8VpQi9aXhzV/7d2Jp686oRFIURQTunnx0P36tVhcp1Y2o1TDxNjPktSLCDPna1KIVAgqBpAiIHIE/1xud9HG6uRcS1oPHD+E9baxuTdJtIjICZUh+wvjF00IT8cVITxNw4OHTJ7JtSnVXou8igVFltl+imvMSMPHoTo0rBsf8vlIN9F6/HMXH/oHKxWzR0a0MM2DkRH0S4laSstfUscxnaIxGDs4YULYyVbJRVN0+wYBNq3TrE0Y4GnVtynW6xhn4QhFhBn55aukKAYVAxkFAn1Kfk4k51rTvplu01m0iKPK2lBK1/oO6Bi8uxLlecnWpjSncI3Z17YcwWo2uCzxDA57llATzSmlvfP3mGFWnCbZevCDVobdjY/BVhapythVtusgwbOLmMRME586RA1EP41KskxUZ/EsRYQZ/gWr5CoHMgkDI7UB8t6YnbI01KYzedV/BEefftcsHa38oPBRHr13CietX4GlZVM5T1aYEftm5RZ7RladxynlKiHXm/UtJ8BlWtOn7f60luTHrzZ+GPd0+w/fbN6KsdVEMpLTX36cS5p86jhhKeEsDTmLmiSPY1Kknw66508n+Jm7E3JdGPk4mZphNA5shVevI9TReOhOt2aZXmXIk8ZTr/q/Fp6NOigjT0ctQS1EIZGUEhGl//jwG6FH+i/8LBr+wg/9Xvw/R6ci1UFpd5sWskwd0ROhIIhlXrynar5gvz+TEfgeUrYQpR7f/30tIbszhNevTDcMIv1Stjf4bV9H45TiiaURTx64kXSfskT3bJ7QWDYTnP6OlFCosXefSulWU6U3aoOfapRA+kUISrFjEFj1K+7yxTjbIwF+KCDPwy1NLVwhkJgRyZM8JgzyGsDfTBK1+170JEk0PJeDWVRqexGNH569QccZI/F69KQxfnPkVZT7ChS3bY9vFc/TlK0i/wxKSCJ1MzRHyxU8MsH1CqkCbOXogaOBgBsc+Qof7O+hTpgwNbUSEGUPciY8loTako30Uw7b5ynO/gz0HIEe2HDDNp48DYRcxePsq5GY816HVa8HF1Aq5cmgCgC8/4wf/m+EcRw/j3ZrAzcxa+itefxCNkfs2MwtFDKU/LxrWlGJouLySKLWYCtLd32MA/STjZBQcoa7NLEXj3JJZdqP2oRBQCCgEPjICC+i+IIjMpqAxDU2ssTjgqG5Fuy4FovuaObgZcw+3Yh/onouLf47upmXmFpSztmXGiEeSRG+zjbgX5NVw4QTpYB9BNeaQXWsl2RUpYETV5nW6RvwjSdD/RjhdI+YyQa85LUKN0HHlDJy+FS7JcuCmJVgUcIQGOUXkfeul/9JAJlKuofHCSQzi/ZiqVFssJvn+zXWkRHTC0T+lulc2lIFulESYgV6WWqpCQCGQMgI3719Ds6nlU27wnmomtF4I64IvHdATDyuMX5af9cPKtpozvw6uPphw2JeJc6vqmtkWNMHUxp3k/fnbN+TvtON7sfD0Yazv0J9h0PJL6W9Qxbro5qnJZOFN9wj3f36j1ekj2f7ew3i6WjBSDc8fm5J07cb/SFeLeIRERdAgJh9dIxxIhIVkvXHe/LKPIOUfqzSgI34BGYVo56ULOBNxDY4mFgi/d5dGNPYM8Sac60tQ2nw13qkcIBN/KSLMxC9XbU0hkFYIxCfE4cz1E/9puqtRV3An5vb/Pcbhb8P+777vq+PGoNPMTB9PS8wdcsi4hEdMsBuBfVeCSTR28pl9IU22CO2cgtRGHdgqzw0Ncmsc9YUK1IyRY3qunSslPm1c0KcvMkcIa1Eh2YkiiE+Uh08T6BrhQteIs3SN+IOuEaZ0jXDjOWQNWV+lmD3GHNyOgJtXcY2q0PuPHiLh6VMpHY6o1Rx91s/HJ2wp1KKf+1SXfbLKlyLCrPKm1T4VAh8QgUJ5TbDUb9Z/muFO7G2ERYX+pzE+dmch1XV2L08n9pfnnDl5VjfrxH4dEeaiEUriosfA24d7/iDVmH/ynO6Xao14hniWGSOWMWNESwyv2VyTMWLiz7qMESm5U+jR8GV8/bZ0jWhF14izkpCFevU3So/15o/n+V9ljGO9IOMGCyboltHOxVuu+/DVUIZlO4BGCyfiwoBhjE2aNU7PXn0jOljUhUJAIaAQeHsEFnXTSEBv3+P1luFRlzBqx8+vV2SQJ1epXtxzOQjj+raFNc/utMUgdx40XjSJGebvax+98puLRGmUN58ksGqzR6GBgysu00CmBCW6xiXdZdsxB7fJX61k+MoAiW6WBhyja8Q+ukYMpGtEGSlN3uB5ZDT9AMVHkLSQNIVBzymeOzbh+MJApszU36Vxj1CLCitSQaJPnj1j2idFhIngVZcKAYWAQkAhkBoCi2gUU4A5BSvM+BkbO34HFzON6rKsdXFaiBaC99QhtLbUY/BrT6ooN0BIap+6V9UNaUcp7avyIpvEQjrdf46V5/xQdtrwFxkjHDmGEfMNRkhrTl2nJBetSpWWgbQ9/xmWyDWiG30EDdHXqypqzR1Do5r8MKRFaMWiJfD7njXo7VWFrhaN0IrGMyLyTATXNaZua5Jg1pGTPmGaD8Yf+PDl7NmzGDt2LGbMmPHhJ1MzpCsEvl3VHb0qfgM7U8d0ta7MtJjfNn31UYNuvw8stRLh+FYL3sdwH2WMJov+pqR1hUYu1UguLXRr2HbxNLqu/gf2xhaM9vILgu7coItFgo4sdQ2TXETRVUI/V553ttIUZ38PeAYoJM3ERWS/eEyDHoM8eqyPx6HwYNQu4aprIshZxB1NLoqNrlEmvMgacm8mfHFqSwoBhUD6RKChgyfWnD/2yuJWnT9KIxQ33bPI2PvShUI8eEIDmDkn9+DrLfMx+sAG6R+ofb72wnFGiFn0ynNtnSDXwdsX8/xxFx6/iEl6i2rQqcd2SOIUJJjA52JMUR8Re4+O8ofpZ3gBw3avomXqXaZu0litijFFERarWY0Exb6zjuwrdquKQkAhkG4RiIyJwN6L29LEBeK/gJCa+4QYt7SlLa1EL0jJ0M28qMxBeID3P1ZpjqnHNWepe3kfQdKqVdyF6ZLWMl1SCNWklZkuKQQ15/zOdEl/pfhcpHOqMWcY44EWhCDdJacPkuCOYEPHQZJExx/eTHVnTbnFx5QM/9i7mkYyNXhGeY/+h8thZ2ROi1IL3HsUh9EHN+IzH004tf+CSUbvq4gwo79BtX6FQCZBwMPaBycHR2T43XxCJ4RmJb2wllKhIMLtIadRxcYpxTM3IZWVNC5MS1M3pkvylpKjMFRJ6fnqc0eZrPcB9nUfKqW3Vs5lmWFiAHxDz8Lkhc9gSiAKVevc5p/RYKYAY51eS6lZlnuuVKNZ7pWrDSsEFAIfGoFmTt5YQ7WmKKtIXILgUirfV2qCg+GBksxaLxsn/RCF0UpKz8X5YlUbZ50KM2/O3Iw+Y/+amjO5+YSfoiBBVV5FQEmEr+Kh7hQCCgGFwH9GQEiC4qztYFggTty4hBlNekOc9yVX7AqZSwOasOhIpktidvh106WTfFkru2Sf56c7xpGrmtBo2vEuRUcwfqiRtDDVnheKuqiHsbKJ1iIyK1mCarF5m18lEb4NSqqNQkAhoBB4CwTORYRh4uG1EBFgmlI9Kgxgahd3pYP6EBLixWRH+HTVFGaB3wZbIzOmS6oLSxJaDC0+U3pe3aYUzxRDmc7pshxve0gAzwaj5dlkp1V/0V8wFhfv3JR1wjhGlTcjoCTCN2OkWigEFAIKgbdC4NnzZ7gUfRMTj6xHcycvjD20EWPrdyZxBeAZz/2SK8LNov/G2UyXtI/pkmKZLsmN6ZJcUKygabLPRaSakbXakVz/onuEvgzEPY/nflYk0EdPHqOenSsqz/qVFqAGDLnmAW3YtuTmVs80CCgiVH8JCgGFgELgPSFQ2tKSxGPHLBLLafRSGncHz9SN7G1VHMNrdZT3nhbW2HXpLlMfLUNH12rY0eUnbAw8xlyB2WQ/0cj/RjB+r9kSTsZFmEYpJ+b776CqM4YO8YbST7GzexWmZHrA+1fP/Lp4VMY/jXpJUlx5bj9aObvTqnQfOrlVZ2qncXSjiGYItxMopJcfXT3K0po0Ck9J4PP8fRll5j59G4uhPdeUI5smzZJou+vSKeZXzCfXalXAhBFrrkgJt5ObJo6pWK+Yy6GQFUqxf0Yriggz2htT61UIKARSReD3zd8g9tED5M2tn2q7/7eyT6VBMNF/NXB24rHKWpekQYohPtswGds+/YPk9mrevnGH1lD680Ufrwa4cDucrhCD4dtlBJ48f4IJhzZIInzMANrfbpuBmrYemNP8a/ocRmH4vqXo4lFLN5UgzaQkqK3UI3E2XTQUxpQKG9r7YOmZPdgUdBQr2v4kiW/Irvl0o7CkG0Vhac1aa+4PaGDvzTRMJTHj+BaGYLvMOKc9GKs0+bUW1NPHt1tnoG6JMpQ8CzCF0yOqgaczX+Fo7RIy1K8iwgz1ujLmYhOePkZUXCRux9zKmBvIAKu+//AeHiU8zAAr/fBLjHhwA1Xs6qBYIU22h/c9Y/7cb04A/FOVdlRPfssUTGvxZfnmuiWIaDJCWlzaejCDcJeSz0X80MlHN+CHym3Rb/0k3OMZnyAiVzMb7A87K1Wf2y760efQk47yb/dP9qbg43SYj8TmTiLUWg60dakChwk9aGQTKGOJRsXH0I3iGxJ2Qfo5PmYapki5nuq2bkzD5Mwzx7sy8k1Kax1Rqysqc/2rzh2gz2J9bCTJelgUp3rWWLfXjHTxdqhmpB2ptaY7BB49eYiJu/9AnpyaFDPpboGZYEF+YQfhaO6KcrZVM8Fu/tsW9ElUjuZucLJ4Gcnlv4347r316NIwqcFnaLb4N0p4XroBrtyLkMQzYNM/umci1JmbuY2MQ1q+iBMDdwfQGT+UZ4wVMNNvq1RDbiURti5VWdfnTRdC0nzwOB7e0wbqmsYxl2FgZLgkLIPceSUJiso8OXJBEFuf9RPpAfmJlEg/92nMpL0pr1X0a0f16aQj6yQRLgnYg/YuVcXjDFkUEWbI15axFv1Pu+UZa8EZcLUi1qhwSFcl/SDgY+XAs7zaVJFOkqHOxMpE3FBRVrT5iZFhNBkqHlNKzE1Vpij17MpgZ6g/E+ZewZRGnzPI9nU65J/A4asXmMx3gGyT+GvthUMyRFsLp4rysZDu8ufSk/M4mRRh8O4huubCkCY/CfD87bDXnPvbUWLs7F5DzjPn5HZp5bqr65+yb0prrU+CF+rQY9eC4EeL2HktvtXNldEuFBFmtDem1qsQyCQIuP5RCLbG9u99N0ERZ+Fs4fFRJEL/m8HYe9kPPvQBdDErjh+p7hQq0pC7N/DNlgkMum0JQVCzT27DkKod5N4bL/2V0l4lhkGrz+gyZfD3/hVSnWnP87uqxVzx2cbJ8LK0J7klr1H55+hGumiUZiDvq3TGj2OuwcKS8H7ZOZ8GNyEQUuZ5Soj15v+EPd3+0uFdbdbn+KNmbzgYF2UapgFMwzRCqkXz5szDNEx+8uwvtbUK8m5BqfWrLdPQiOeQwrE/pXL/USzVqHt4xllfNll8ejtVvV48wzRMqUuaPldEmKZwq8kUAgoBLQKCBNf0PqS9fW+/P6zt+9GkYxEHNBsd6VfzH31BhEJFOpkqUkFCMVRVCqOS6U2+Y+b5cbTk3C8lwYo8k+tRuq7cf2GDQjCnpOhgbCXvBYndZx7B+vYv1auJgapu446VHMd5Ui/6Lj7DHzU6w5CGLOIzrl5vtF/xJ7NJGMgEu8NrdkFRQzOeP16SQ8TxTFn4OxZi/S9V2zMNE48vSG4iOPeYur0oNebkWr9Ica1ikA5Uj848sRV/1+6eeFmvXR+4choLT23REeEXm8bBr+/s19p9rAeKCD8W8mpehYBCINMhUMrUnEl5zZh9Yi8zzXeT+/OmirSVs5dUj4ZGXYejibW0rvQN8WMmiFM8y4uj68IWkkptKQlu7zycVqVb8fXmCXSuN8bpz6ZQjVpIjiUIZUPQAeQmSdUq7o0KRV2lSjKaxi+b+DwgIhRDfKfTD9ELHegu0c61KuOS3sdpKan6Y/aJOAbqrkA3ipnwmdqDgbdjMebAYtyNv48pDfuguJG1JM5ZJzbQ2Oa2bq1ifa5mtnC3sMf1B5GYd3IzXTfuMTeiIUrQ+rSstaNcX+jda7RQ9WWKpzhKtz6MsepBKTUWq4nHjQd3MO3YGuhTPSvcNaYdX4s+3s1o+VpQ7jfg5kW53/audXT7Tas/EEWEaYW0mkchoBBIEwTuxkZi38XtuHQn6IPMV7lEHeTPk7LlaGnLksw+cYoGL8E0grGTxjGCwH6s2pkpktbKNW27eBQDN47FNxXby1Bskw4vx2WS5K/VezDrxDwcv3ae2Sjq4+i1c6g5uz9OfT4fZ26FoseaEfiucicIx/2OK4difotfmGDXDT/7TkPYvZvo6FaH54rX0HzxYGzrMp6GMZS6z+3GP8dWMzFvM9aF061iEPZ21xjrfLd1Mvr5tJCSa7NF32N39ylSJTrpyAo4m9oybJuJXO/GwP00o4EkwsYLvqWrRXlExT/C4oBN8LSwkW3ORVxC44WDJKFbGZgywfBofFupA1o6V5NSp7BeNdMvJOcSY5npGyFXthwp7lfrxygH/8Bfigg/MMBqeIWAQiBtERBGQw+fxOP6vfAPMvGTZwmpjitijDZzrMzsE/skEW4n6QnJSKgatUWPlppTqSKtXMxdPhJq072XTsrr4DvhKGlSjBFmfGg5WoW+ej7SICaEBGfE7BLVbTxRxNCcIdUcKL1pztjczEtIojUn0QiS3Bl6XBKnIMIR++bT0GYQE/BqjKnGHVxCv8S7cq6B5Vqjl1dTeb2H85+4Hki1bBF5n9yXxtUiApW47gNhQfi2QivuwVk2HU3Jsin3PbRGT3lf0qQoyXAUCb0eXS3cJbk3cawk67J9kg1NSlaSZ4Qp7VcRYXJvQD1TCCgEMgwCp6/5YcrekbBJxZfv0p3gD7Kf3pW++SDjvsugzUhgXVf9IdWjqyiRdSIZRD98oBuidOGSUk04mZJXYGSYPN+zpYpRlO8rdULvdX+h+JiWkig7utWVLg717cvRiOUwvP7tTkd4KzQqWREDyraWfQTRjjmwhOd/F6X/oFBHJjx7gqv3I3jGGEsjmJeuJF+Ubyv7iC+7Qta6a6sCpvRhjNHdJ3chXS1q92Vg8L+kJFu3RFld+B6fdwAAQABJREFUJJwLkZdxm1FrfEnCojx7/lwSrpg/tZLSflPr877rlET4vhFV4ykEFAJ4mBAnDTEq29VOEY2NZzKvW41QiWqyTwQwFFkQZjQdzOwT+3RYfLNlIhPzRuHrCu3gQclu3slNPPs7KOsFOe3qNglhjFm6jirJPuv+ZDaK/FIKG1//S4yq018S4rhDSyXx/EYJrN68r2h12gTjWG/P/g3mfy3HypsjD57zfzdj7vD8r7B8djj8jJQoxU1KUpfwJ3xCItUWcYaoLe1catHVoh4Oh5/FnJMb0WjBN7gwcAmtWvOiDet6lG4kmwoiFMY4BgzNllpJbb+p9XufdSr7xPtEU42lEFAISAT0cuaFuUFhlLOpmuLHKF/GjEKS2iu+cPsSBm8bgyJ/V8dVqmabLPyGlqIxtBDdputWbWYXGq9clKrPckVcZOSYlZQanzzVEM+nK3/D5CMrmY2iMLNRtKQBiYm0OF0asIPjDUJe+iK2KlUDj58+pPrzIiXNGPnpTNcEodY8Q4OZUxw/geMZ0SJUWK8KdwWhMj0cfhr153/FutTVu7dibtPydbdc87mIyxAfUe7E3YPTxPa4TJIWhjrifFGoS5+Q8ISBzjIaysQ9fkhXijwM1bYW7ZZr/BiFJe2J6xcQSxWwKGIPwtVDlJT2KyvT6EtJhGkEtJpGIaAQyPwICLKpWLQ05rYYKsmj9tyBaEPS6rtuKIZU00R5iUuIZ8iz2vjn6GosDfAlkTySas7ZJzZKshLWpv03jKEl5RZJcML6UpCMiC26PeQoPKd0pnVpTikNdnCtBcv8xuhL68tacwbQAtMIhnn06W5Rjol6NWek//J8sNvqPzjXDmTLRjOV5w91RjApvZH8ubKT1HZiR6gfzGjVWZXnkqIUyluArhbd0GrJj1JdGxEbRVeLAfL8s3/ZVvSXvAbXyZ3k+CY8vxxX/wvZT/gqPqeEWGpiB4R+tZLnnKVRdVY/LGg5RKqPk9uv7JhGX4oI0whoNY1CQCGQ+RHwYYYJFzM7KRGV4Tng3R+2yk1vu7iXJKIvVZ4+/7bh2ZwlLTyrUmqMQGuSYllrd3zHs0FRnj9/imrMQC+krPauDWBHEtE8f07XBx8Y5ckNd/OSVLX60sLTUNYNq9GLTvwO2BlyBKaMH9rRrRGsCpjLOkca3hzqNR2RPL+7HXsXFaa3l8+P9J6BA1dOUIIdK90xunvWo5SnITy9nDkws9nPlDBtpFS5/MxWOuefp2tGMEm5PE70m4PA25cpYfrLvQzxnUhizI1fSeKC/EQUm8eMMbySkvDCU2vRuGR1zvkAR3ovlSrjmc1+oHQoJMfc8n5H1wnyLFNk2RDnkGldFBGmNeJqPoWAQkAiIIKx37h3NcOhYaJvjhxvGfz6PtWWO0IP8bzvBgmknG6v320bTbViOylhNVs4ALt7zJWkM2zXP4zAsp2ZKdrg3O0Q1JnbE1u7TCfZFMXwPdOYqmk3epRphRXntuJI+Ck0dqwmxxx3cB4W+K+nX14bZrQIRY3Z3eDbdZaODEUjEcUlMi5Ktwb/GxfojvEzCbinlEQ7rvgO81uOlBKtaCQkUNGn/4bf5fo7ujdiwt8wNF80gK4ZM2QwgF93TYajsS1aONdiqqajrOuPg70Xk8yfofGCftIv0ceK0XHWD5PzCpWotuRLdC2eveksUdvvQ/wqIvwQqKoxFQIKgTciIM7Eftv81RvbpbcGv9QbA4sCmsgvya3tz30zID7aUs++Ela2H8+IMS/PRAeW60S3BY3F557LR3l+do4qTlOMPzQf6zpOZlg0D9ldWJoKkhtb/3v5u+nTqfCyKkUr1MawGV1TthHS11/7ZmJpmzE0qCktnwmL0clHFmNE7S+1y3jtN+RuGI1wCqC6rTeNZyzpjuFE4jN6rZ0bpc8fq/SR69e4ZhzhOWSwbH+P6xtWcwBKF3ZGU6easBtbl5KdhvzvxkVjT495cjzrAhbouGLQa2OnlweKCNPLm1DrUAhkMQS29j+VKXf8dYWudCTvRlVkFL7cNJLSEeBt5fLKXoWEpy1WBuZ0W3jA87Vw6FG9mLhtdVsfLDq1AcF0TchFKdTTUhPBRTinl6M6VZQr0dflOeOAjX9oh2Rkl1j6MDro7pO7qG9fGVuD98Prn9ZS4mxUshoGlOv4WtMqNl4Yc3AOAm4G0TWD7hiPYhIFEc/LNTnJPoJURRFnnudpsFP+hZpVPKvIa2GJml6LshpNr29GrUshoBDIkAgIlwThPG/J6Cozm//OgNch+HH7+Ff2koMRVZIWkRkiloY04ixPW64w2kxhAzOeBRohngRzm+SqLZGUuEQRbguirGg3Dgd6LZKf432XY0GrlwG2ZYMkX3q07Bzf4AcEf7kFA8t3wroLO/HzjgmvtBLxSOvN7UXH/YIY12AwI9ysZtDw4ro2gpCFm0jSIox2wqkO1paoh/elG4f2Pr39KiJMb29ErUchoBDIkAjM9ltC45Ojr6xdkNSkhj9h+vHlGLZzAsbs/5dkdueVNtqbYoaFGbeTmSlOrJL+d9cpfW3gmaBQky7wX041pgHm+6+V1penbwbSReKC7CoI18m0BGb7rUbDuR1w7OpJtFzyBduu0w6d7O/SgM10x/jshTtGXcYuLS/jniZuHE3/QaGe7ezRVJ5hnrkVLOd9k/tFRapo/bm+s2wvrEXF+WV6Lq//Z0l6Xq1am0JAIaAQSKcINHGsw1RLoyB88BKXgswEkf2TJ1hzYS/mNB8mA2wnrtdeZ6ckOaPZMPRc8wtdJ9ZLFWM7lwboXroFXSFCSXaOGLZ7Kp3v10r3CWGEoi3Tm/4m+12/f59hzUYwIo0XjWpaaquT/W1Vqg62XzwIz8kt5HjC929uixGvtBUk29e7LWrR+MaU4dsM8+Sna0ZlBPN8UXse+UqHFzeOJrYYXW8QmtGwRgQI9+ZacyYjBSfX92M8U0T4MVBXcyoEFAKZDgEjqg+bMOyZfq5XFW1LTq+WfoMTGw3HwSvH8HfdLyWJzDq+CJ6FXVE4f36e55WQeDx//gSNHMrKkGvNnOvRYf6CVD1G0u0hO4cVqs9Jh2ajgUMNxjLdTIkrgGOa8zzOC/t7LpB19eyroXihYlSx3sWi06twJSqchi6maO/WgjFMbXD3x8M67AXxCsd7caZoRB9BbTn52SrtpTSG+bFqb4gEwgb0UUxcQr56GShAqEgTj92Orh9tXOrJ88+CL84PE/dNT9evvrH0tDK1FoWAQkAhkMEQ6Ojekr5zG6Q7gli6CDG2LGAdOnm0kjvZe/kwNgf5yuspR+bgs3Xfy7O/6If34HftNFot7sGwZzl4nvYMrRf3pLpz8Wv95vsvQ6fln+ER3U8EwTRd2IXO+4Gy3QLWXb1/nT56cag4rRFux0SiXJEy9AE8i4bzOkg1pWyY6Euc8yUmwURVukvhI5iUBHWVqVyI4NrpnQTF8pVEmMpLVFUKAYVA5kPg7+0/YcOZZfzH/6U7w7vsckLrhbAuaJNsl6q25akGzY79l4+gsk05BqDez7M9Q6oGNe4QSTt19miDXt4aR/oOy/pBEOn3VfrLZg9onXn65rmkXeR99eIVmY5J024f5zp29RRVpy+tRKNpnDKo8ufoVrqdbC/md59Ug2eAsTDI/apUl+wEWeyhIsIs9sLVdhUCWR0BW2N79KjwJTp5933vUAgJSKggl51ZJ4lwyanVOmkwucnsjV9aYAqprntpTdQX0baKTfkUibBSsbK64YTEJaK4JC6F6ZJhpm+Mnqu/ovo0UGaiEPVPEwXSTtw+q18r1WhW/wtQ+1cIKATeKwId3Jpjw4XtzC4RybyA+3hO1iTF8RPnKHQ2LSmNYrSNQ+5e1l6+9itUlamVbcG78dWmIYxhWgdrO83Dhk8XyObCglOV1xFQEuHrmKgnCgGFQAZHQGSp33x2JawKFnttJ37hh6CfO+UM8691eMcH1nSD8LR0wXdbh0mpThjRvE1pWLIWcxTOZwLdqpTgErDizHrG4tR7m66vtblMA5kShWwYgq2OrBNuG6KIiDOqvI6AIsLXMVFPFAIZDoF45v+7Hh0GQ73XQ2R9jM1cvhOCe/GaLOgfY/4rd0Mw/+i/qOPU9LXpL0UGMUSa9WvP39eDUM59O+YKdl+6hjzZ4lBvdiA6uHdCRw/NWWB0fDRcxzkjV05NfkDtvC2cG+DHbb+gxqwWPFcsyFBq7owac1Vbrft9/PQReqzsjsCvz+qeJb1o7dJYGu2U/acehLq2ZonKDKNmxVihl6gyNUnaPMvfKyLM8n8CCoDMgICwNFwfsBQ7gzali+1cZy6+OzERH20tBUgkThZu+LL6kNfWsPLkPMQlpJ41/bVOb/ngKoOIV5tWBZ+V+xybunzGCDO5sO/yXvRd01takgpDmPMR59FgzjqEfvHS9UAMf+yqP0OsPceM5hNRtkhZxhadJrM4iDqtAY24XthqIhrNayAuZZnbcqL2Eof7btZdb+26FFEkXf1c+aSf4G81v9PVqYtXEVBE+Coe6k4hkCERGNZoUrpad8A1Pyw7MSddrSktFvOb71DUdaiHQVW+101Xs0QtzGk5D03mN2Jg6tcl1FVU4Yo4nPq5C+F2XAJEyiY/BuH+h+4V9e0r4uuNX9IP0Bzt3Tsy3NpLKfLUDX+sCFhOLYChlDhFG1FEZvmdITuxK8SXKZzsKIl+Kp9HCnUx/0PJ2dQZq8+ugoWBJbqX6UE/xAPwDdnBFEwVUce+rpQgRXDt5QHL4H/9pCRzsYdKNpXlOJnxSxFhZnyrak8KAYVAigiE3L6APRe34mDorhTbpFaRWvaJA1f24e96o1/rXqFYRRTIU4BZJk5QNakhLNHon8NTMPfEbKzptJ7PzZhrMAeu379FX8JcePLkNvRz5oSbRRlmi1+NRf6LcKK/vxz7Pt0jBm/9Hm1c22LThQ1Yd34d9vTaRwnyEWrMqAqL/JZo6NgIS04t4lnjCmzovInGO7fw87af4G7pzrPDJph5bDrWctxCdCOpZVcb3276mqmVcqN68RoYuL4/Uy+FkUQ7Up0aguYLmmJb9x3wsPR8bW+Z4YEiwszwFtUeFAIKgbdGoEeFr9DSswv0cmqCVb91xxcNRT7C5IqIv3njwQ3mAEw+RZM93TaEWlRLhNN4hrnQfz7Wk6RM8mnO7fLkyI4unq1gbWgNc/386Famu5zK29oH7hNc6Qf4QN4/ZfJeIWWa6puiRvGacB3vTCf6WBLiWkaUicS+3gdlRJpWLq1R/K9i8L3oS2nSkpkj7mFqs+mSdMXZ4Q8k04vfXqJRTl6ERV3BjovbJRG6Ua38Y7WfpSQqUy9RYjxz64wiwuRevHqmEFAIKATSAwKD1/bGEZ7FGeQxlMt5QInp/sPoZJdmlM8Y4vO+S07G1CxqWAwRscmfjd7imakgQ1HucW2j9v7N/H/GdHB/3YJVqECFhNiTRjFnI84wDFqC7Kf1AxR9BAmKoiXe+4/uI+h2IKraVtNlhBAEV65oebplBEki1M+lL8cV/YxoWOVs5ixJUNzn41ni3XsaA6cqNtUYIHw0Uy+dYuql68Tyvm4Nom1mK8qPMLO9UbUfhUAWRMDW2AFf1/gNa3ofkp/pHVajEs+10roII5d159a+Nq04zwunqtHLykvW6dEt4nC/YwxibYg/94x4rf22oK34auMXaOTYGGs/3YANXTRGMFo3QBGgO7mSP3d+hN0Le6Xq0t1LurNFQdaJi5AKk5Y4WiDXm12bqZcKYVzDiTg1IEAG/E7aLjPdv45CZtqd2otCQCGgEEgjBJb4z0NQxCnsubQHEw9OkNFeftzyNQr/UQBdV3TG0FrDKLEWwIHLe3iW95Ah3owwnkZO045OZZzR46+s8nL0JfoB2qGxUxOpNl14cr6sF/6FqRVxvnf86jFp5DJm73B0WNyS6trrzCBfJrVur9QJ945oSqydS3eFg4kDVaIBOHXjVKaWCNUZ4St/AupGIaAQUAj8fwiUK1oJn6/tDt+ex/DXvj8x4eA4ui/cZfqhXChDI5N+ZT+TA5+4dpSZJDT/9Aqrzq8qfs1+/bCbxi7a0tqlDVbSyKXsFK8XfoC16AdYFBcjgxnEOmUHfXdLD4ys+ycazW1A0jWQQb/nMTaqUJ+eY2DvtymWPEvs69MPtWZUp/rVTFql1ndoQPVq8Nt0z5BtFBFmyNemFq0QUAikNwSKMhC3NckqKj4SC9ss5nndBTSfXwdfV/4Be0N36pZ7PiKAvoLTcPbmaVqRHsNXlb6RH9Hgp2qD6fenR/IpiLENxtFSdB59C/Ogk2c3/FbrdznG7ONTsa3bdozdN4Lpk2LQwaML/PufwsyjU+S5YSuXDujs2RVbAjcgV45c0iL0IM9Ps1Gd+mfdERi0aQBVnaU4ZncpcYpBT9Ga9WHCA1gx/+A5SoCOJnb48XM/pl56JKVYOXEm/lJEmIlfrtqaQiCrIhBDw5HgiHOYfmDMe4egpUdnFOT5WXKlqm1NHA47gKq05Nwdup0kVI9WnXUwdMdgKZ2J87fzNH6pbFMdMY9j8O3Gz1HXvhFMaPgSnxCPrzf0xf5+pzHM9yesOrMEfXwGMMXSGVSdVgZbux+gX6AD/j08HtOPTKLqsifHOosW8+tS4ivC88Rm2Hlxm8xROL7xNBq6+NNl4qZcw+5QXyw4OZPz1oBPkfIYf+Av3KSF6/fVhsDv6lG0W9yYFqp9peWpIG/rAkXRngSbhyScFYoiwqzwltUeFQKZAAGRPikqLhL5krGyPEDn8XK2VdGgVCu5U3MDK9Rzag7LDxBKLUe2Vw1OEkNbxbYG5vpNl4986avY0aMbihQsxnM+U57dHZHuC+6WpaWUJc4LBSEKwutddgA2nl8Nj8Je9Dc0xPj9f2JdZ1+UL6ZxYo+Oj8I4PpvcdJYcW5Cg6COe2/5pjF9rjURT51aMSFMR7RcnH+RbrPvf5nNl/+d0mN9wfo28HkPJUqxTkKIoD/gfEadvnJTXWeVLEWFWedNqnwqBDI7ALRp9eFiXhb2p02s7EQRZmFKRtpgyykq/RNFdtM8/9K8gtoHrekrJ6nDYfkxvsVBOWZ1S4ZHwA5K4qhV/ac3azr0zJh0cLUltyan5jB7TGSF0dRBWpd7W5XXLrV6iNhadnKO7L15I44YhVKgiM3wZq7KyLh/dI2IpaSZXxNq0RcSkfcSYpaKco6q2u9fLlFSCzLMaESqrUe1fhvpVCCgE0jUC+SlBOZm7wYuhwJJ+HMxKwYxGHh+7GFFlamNUAvMoFTqZujJCjEZ6rEEiExKhIMdqxWvrllm/ZBNcigrBsfDDtBw9igYlmyE/JV7hHB8Zd1vX7koUXSASSbciAkzikpwbROJ6cZ1UzalNyeRs5orgyAu65oKIs1pRRJjV3rjar0JAIfBBEXC3KM0zvh/hz7M357/M0XBGJVyjD6H/9eMIvXuRrgzeuvkFobUo1Q5f8WywkWNz5M2VF8UK2tJ1wh7CKObps6cMuXaNaszVKE+r1A9RGpZsiqWnF+ASs2YIA58VAYs/xDTpekylGk3Xr0ctTiGgEMhICFxj1o2Vpxbi4dOHDJ22E2Woyt1/aRc+X9kZBvkKMUSZF10nXnWGF1afM49Nwd/1NVkkRP2MlosYVaYDFpyYiYf0ORQq1O5e/T4IFC1c2tF69TjqzqwopVEv63IQEmhWKooIs9LbVntVCCgEPigCv2//QUp2UxgHVFtq2NXFzDbL0HxOTWzveUgGv94RtJEO9cbSYrN8sSrSGlRYuv646UtpLNOe7g9HPj/HuKG3GYKtAF0h1uGnzV/Bjf6II+uOQ94cebXDY38ff8w9NhXZP8mOtrRovTw4SvazYpi2+g6NMHTrd8jDM8dvq/yk69O8VBuIjyjHmKhYWKf+VX+CvBdGOcLhPyuVNCPCZwkJeBKftcDNSn9Iaq8KgY+JgIgtGpoQBL+wQx98Gc4W7pJYkpvowKXd+LPh6ymxyttUkQR38toxSYCCnErQFeLh08dMjbQBjsZOkgR7lRuAQLp91Jnqg629j8DKsAiG7/gZWy6sRTfvflhzZhkO0SdwEC08SzMQ9x87fsKagCXoRQvScwyKXfPfMtjU84CMaiPmKMmUS81c2mIPg2a3nFMb+/oHvLbsWOZm7LCkKT4v/7U05pl6eILOyOe1xpn0QZoRYd74J3CMT9nsOJPiq7alEMiSCFyNvoIt51bh7Hs0ww/iP/QWdIvwIAEkLcIK8jTDlEUzksuHLkWMbJMlQhEY+yYtWwV5JVfsTEriAvdQ3qaqjDgzq+0KTD0yUaZMGrZ1EBZ13ICKDJgtihjrn4Nj8VOt4ZiwbyS2kRRdKQ1+WqYXzx0tZJuYRw8wkRFsVnel68gLN4t7D6MwYe+f6FPhSxnYe2jdUfC08kaTUq3h+KcZg2ffe81BvmaJunTa12MOw+0MwK2HpR02wNXCQ86RVb7SjAjNTc3QxE1j4ptVwFX7VAhkVQTqOTdHbVpECtP+91WGUm0orEWTK93KD0jucZo+k9knGF1G5P1LrkQ8uAk7E0dZJXwIzeji8UvNPxBMA5UfqYr8cm1PXTfhy+dq4UnjlXPMCqEPlxfElC1bNpKlxg1C62bhlcjNohqtUxe/cLMQ/YRfoijCmlUUcd5ogALyWvsl3lFFkrP4ZNWSZkSYVQFW+1YIZFUEsmd/1Sjkv+IgSCC9Fx86tK9nxnlxLpi4nGYIs/B7V6TxjDBEyZU9l65anxkjRFn66Wbm/yssrx/Txy83o7oIq1FxLSLEmOXXSIIhkUHwJMFp3Szu0M1CWyfGtjSwlmOIOd7nf4jIQTPpV/r/y8qkwKttKQQUApkLgfUn5iHy1jnsYzizyftHMU7nY4za+DU8h+ijx9I2GFL7T6mWPMEzvntxL1W4FjRqcTJzwRwavAipUnzazKuHBX4zoJ9bH5UZtm0SxxOq0E2MBnOGodOu3g1FUbpZCMd60U8Q5g26WcxgoO/C+hrC/H/RXXdiLu7GvPRh/H/HyUj9FBFmpLel1qoQUAikWwQ8i1VC0LWTmNN2JY4w3qjbKGuMOToBUdmeo2xhH/Qp/6Vc+5nw48iRJC/gv60WYi8NWjxGF0XZ8Q5Mf+SE7t6abBV/1B/HSC8n4DnGBrOP/gP97HlkRgrhZjGt9SKspQGNx+hiqDrZHbUdGmJA5cH/CaPfVvem1Wj8fxojo3VWqtGM9sbUehUCCoF0iUBhIxtYMPtEbNwdzGu/GqE8++s9qzZ6Vf0RR0N26tZ8NeI8ZrVYIO+fPXuGTfQ7PHftBJrY1oFLkXKoUrKBlAqPh+7BznNrEMTIM99V/AHl7TWh2WyG5pVRYmbsGo5oSpaTGWDbmnkDDfMUxOrjwu8wDub5zDGi5gic57hbTi9FbhrBnP3mKoN7m8l5hcS3NWAprt29jHpubXEq7CAae3aB79lVeEbpcvHBSehQYSDMChTGxZtn2HYZyTc7GpfujMKMnSrK8iNTUc6uFradXoY7MRGo7twUpW0qy7qM9qUkwoz2xtR6FQIKgXSLQNkSNXHy8gG5viPB21HZvj4JrA4OX9wu1ZexVG9epOWod/Hqss3Q1b2w1m8unK3KSLL6bnFrBDEJ7rlrfvh+aXvYmjoiIv4OOi1shFE7fsE36/riGdPU7zy5kO3zQI+RaATZ3o+NpJSZA4uYEPjqnRAS002M3fwd/tzwBSwLFkUwUz71YTtR4h/Hoe/sOlznfliRvH9Z0RVjNg9CDC1KjZgFQ5wrmhiYk4xzYeK2nzBwflMUzGeMCKpe200qg8u3A+U4Cw+Oxxfzm8kzzAJ5C6L3zFqc53X3DNk4nX8piTCdvyC1PIWAQkCDwLWoK/hhbZ9kXRfSEqMJTHRrTevQ5IpPiRpYeVSTfeJA0FY0K9NNSlAFmX0iIPyIJBunwqUh4qaK4shEup8zc72JgQUlsWc4yD6CCPVy5UMBWnqWs6uNOq5tMffIZIQwBJor+57Pb42O5fqjXfn+cozDF3fgDMO5CdJMXB4wy/zX9UfBxdobtV1ao9ofZnhAstt7YQMEIf/Vbolsbssg5r1m1pTXlRzqkwizoWaplpJoZ+/5E9N7+OokvfvMdjGLz35rOUu2L29XB31qaLJWHAvdjdNhh2Fn7pJ4GRniWhFhhnhNapEKAYXAtA6r0j0IQtIbuqonpa5YnLyyHyPaLpRrFlKh/5UDuEciEepEbRES5MzdI3CB/pa37l2VRPnkWQKqOjXBHhJWkzElUYyO9zVLNceIhhPlfwSsPTARxeiTqC0W9Ft8EB+tvdX95qX7RCkrjfuE4Qv3iccJD6Wq0+uFv6Jo7FGsopT+dB1fXFyhdapQqboxf6G2lCcxr/Wbo72lZKvxexQPDOjLKSxcM2JRqtGM+NbUmhUCCoF0iYAgHOtCJbDy2HRKRq46yU8QyGlKhEIdKaQ8UYSKssvUSlLt+Euzadj0bSiKM4uGKCIk2pDm07Hrx1voWmUQtp9ZidGbvpF14it7tjfLMEK1mZz7hL2FKy7x/FJbbjIgeAIj3CQtIu+jIPQohnnTlqt0zzA31LhniGe5MkniXkWE2jesfhUCCgGFwHtAQEh5iw5MgJdtVd1o4vrc1eMIv3ORUpom+4RQM4pPC+9eUq0ZSJXoBfobClLacHI+es6owbyE+dDAvQOEyjKO6sz/WoQ1aEWOJeY5ELRFqkrn7hv1yrBizliGrLNiBJ2ixvZYflTjnnHr3jXsPLsawjo2sxVFhJntjar9KAQUAh8NgQT6Dt64dR7XGWJuue9wtP7dCgt8/6CEl5eSYnG4F62gyz4hLDI7VPgCHaeUlZ/xWwejqmMTGqMEob5bBxq5FEPDUSXQaJQ99gduhv2LZLxijj8Wd3jrPT4R4do2aKTJzn874tupNVCb84xcN0CqXsXaRBESpChCYm07qbQkyj/bLsI2WozW+6sYWk9wJyE3QJuyyWfBuEIfyoNn18kx+k30wSlavWaYwuSMaVJiLoY9P//rv2kyl5pEIaAQUAh8DATmbh/6vPf4Ms9Drp9+/jjh0fNToXuft/jN/Pn6w1NTXM7Dx/HP78dHJ1tPp/znUbGRzw+cXfu838Syso0Yu+mvxsm2T/rwydMnz4cuaPP82+l1ngde9Xsu7vdxrIZDTZ9vPjpLNg+/E/K89E+55Xq1/eMexTyn8Y729vmdBxHPE54k6O6Tu5i28fvnk9Z+Iav8gnc8j2KfjFLerGjOMJSuFqoQUAgoBD4uAhev+cOnZH3YWmgsJ11tKqFvw9E8a4vRLexe7B3sCViOq7eD4e1QF2XoHyhcIU6G7MLTp0/kvWgccuM0rtw6y/EaYPep5Yik+8JqGsq42VYV1XTeP0E3isXQ1zNEPa9uKETL06TFjy4cpymZzfr6LAzyGslqL0p89z95hhX0OUxgGLxlR/5FbecWmO/7O2KoqhVrr1umqzxf9A/ZjWx03Pfn2grQhaJJuX5Ibv1J570WeRGWRsX52AT8jwCUpoHQHvobRtHfsCL9DV1tNf6G0cKfkcY3N+5ckusX85oYWiUd7oPfKyL84BCrCRQCCoHUEHh46w78Ov6EPBbGqTVLN3VOI/pDr7Bpsuup4dEOfy/vIQnF26EeXGwqooZHe13b82FH8d3MuiSaLvIf/r+WdUWbqt+iRcWBOB64jWHZHuqIMJhEt+vUUpSnBakgIaG6NHoRb1T4/E1Z9yVqeXbE/rNrse/MKkwd6KebR3txPoxZK+jkriVB8VyQ7vx+h6QbRSDJtjwtSH2PzoZPzQowLmCJZXtG4/qdUPSqPxKU7LD52CwSWU3pB5na+rVzit9VPCMtbFwC5kbFsHL/eKw9NAWVaPmaX68gvpleC/8OOA6LQrboMdYNNT06SJx2n15OUpyL+YOCkzXySTz++75WRPi+EVXjKQQUAu+EQPbcuZC/pA1cJw56p37psXEV11YwpFP6pqOzMGJJJ2ngUtmlJb5oNoWSWwHM2/Gb/Ie/X6MxcvmmdH0YvaIXmr3wCUxuT3noNO9RohrO0UevimtLhN4IkNFffum4jMRoBi9Kle1GFJMWnsL/MHEJi7hACeullae2rggtWzvyfFIUIYmWLV6Dc2ic/ONplHPi4stIOILQBredJ9sOntXwndcvOpah+0jnWhp/QyFlnudeBCl+WusXNC7bR47tXLQ8OvxZXGKWL4+BfJZWX4oI0wppNY9CQCGQJRBws61C9WUV6SAfSEvRqRu/pXFLe4zothFhDK/WqGxvHQ5eJAihNr1z/7ru2dtcCKIQJCiK6Quii6WUmJQIRei1UEp9yZWHdN8QJOvI/I6rKcEt2ztGru/psyeU5ux0XYokctT/f9fvkcjfMD9VtI+fPJIqUKP85vh9UQeEMvLNUxr1iCLmT+uiiDCtEVfzKQQyMQJ3Dp9GHpOC77TDhOgHSHjw8gztnTqno8bifE9INCO7bUIxc2eerWWDYxFv9Gk4CoNmaHwH8zGizK2oy7pVX2cWCRGAuyBJ7RO2T+zPd58xS1Mqb+NHKPraW5WmdDpDSll5X6R7Es/3UA05marV+d8FY/yaz3CXuRI7VP8BJemAv5GRcfafWSOayZIrR27tJVJbv65RMhe5qI5NWg6f34hxq/piQNNJ+KzxWDx//gytfi/M3+dJm37we0WEHxxiNYFCIOsgcP6HyTCu4vlOG34a9xDxVyPeqU96bJydsT4/YcDqPuPcMaTjcpQr1ZRnhfcobU2S53Q9fi+KR8xTvNN/CWLv30IcJbi450/hxEDbkgypUj3BMzkRak1El9l3ZjW05JWbLg5xTNYryk2e38UkE0kmOUzK0tCmuKU7/qDUJdSzxnTZ6Pe3M+48vo/OtX+VkWOuMzZpVdfWXGMlPEqIl+sTBjLJFe+S9XhmOBvrd/6FfwdfxKYjM3TrT659as9u8D8CrCixVnZpIZst3Dlc/j7l3tO6KCJMa8TVfAqBTIyAMCIpOeSl6u9ttiokwvM///M2TdN9m+JGdvBnAOyhi9pLifAZpRxvexrH0Cl+YpAvLOmgXpCqzIX7x0Evdz4UYag0cdYnSg339tjuNx8tf7eQBFXFpRUuMUC3KDaM3xlLUm3yayGM6LKBKs1XzwJlo2S+hFT6Y7uFmLDmc/Sb5EOii+PZnBGNbDqhvld32aN9te8xce1A7Di5QBKhMGoRlp6CkJMWITWG89zxCCPTdBxZHJb0jdSuP2nbN93X9OgoSbfraGcax2SjBW09mNN3MpxBvYXKNC3LJ8LPIy0mjA0JR/iCTe/8f5K0WJuaQyGgEHg/CPh1+hml5w97p8G0RJgZjGV++bcmTJjt4dylvfi9315p7SmkvXGLO+MJI8bcpFvBqC+O4UTgVqmurEjjF6FS9aVlZihdLwpRYivj1AhFzUtJVWHi59VpaZo3ryESKLXtOj4PTap8JXE+E7IHR6jKzEEVZmlKbKWKV0nx+T2S9OHTK+HhUAe5Saain5WZIw4FrIIR567r0wt6efLjHt0aEtdZ85ywkntbWScyXWw7PAN1y/eVBkDv9LKTaXyfqaSE5Js0R2MyTT/YIyURfjBo1cAKAYXA2yDw9OEjxIZeRfCo+W/T/KO3Kdq1EXIVMkxxHfY8FwygJWb0/RvSRUIEuj5DS8kOdYdh4/6Jsl/QlcOI4rmcIMLF236FuK9VtgcuXD6E32c2wLQfLr32fNDEsvL5beYQXMGoNYIIQ676YczC9mhbewjTMz3DyLnN8X3nlZQ28yf7vFTxqtiwfwIsaAlagKrY2eu/RmGqJxtU7I8D9FUMCPbFT902IJprS1p3mKpaTd0trN0zCi1rfJ8iBu9Skdi14136vc+2igjfJ5pqLIWAQuCdEchpaACb/m2gZ2Hyzn0/Rofs+TQhyVKaWwS6ruDWGgdPr0BxK0/4XdgEN/rh5UxkdJK47zWqGq1pXFPGsSEqurWBl1NDaTmZ0vPEfa9HBiM/A32729eGKX327JhySRDceQb3Tu554r7i+iGDan/WegZsLN1Q3q0VOv1SCMHhR6XqNaU6QbKZrSgizGxvVO1HIfAGBPz7/AFhoJItV843tHz36pjgK+/cKXueXDCvW+Gd+6XnDhVJhKMWtEGn+sOx338panp35xlfVLJLFtLcuMWf4tMhxnChL19N724QVpYpPU88iLdzExw7twGf/VUSlpTsyrk0R7Nqg5DS88R9xXWBfCaSBMW1SLlkX8QHV+in6FC0bIp1JYu9TMsk+mWGoogwM7xFtQeFwDsgICQwu0FdoGeVfHSUdxjqtaZ+XX997VlWfCAkQeATnA3dSwnrGL7qsAiHKCEmVwqblsSogccQQbeKQwErJSkKac6RUWmSey4kPm0R5PVZq+no3Wwyjp/fgFU7/+T5XgR6N5+c4nNtX/ErfA8f0Z8wN/0JRblJC1IjRpcRJbU62SATfansE5noZaqtKATeBoFPsn2CbDlzSIlQSIXv9UMrRVUA3wNTcf9uOCYu6UqVZwNdxokonhsuWf/q2dqfc1tiHZ3Zxbldkyrf0GDGCiK6S3LP9xyZjQ2+f+og3k0r01/+rSFVmVU8O8DTsb7sm9JzXccXF8KAZ8+JhfLuxIUt7BtDqbCsvE+tLuk4Gf1eSYQZ/Q2q9SsEFALpDoHdh6bDiZnfj1/aKa0ttQsUTuNPGFUlR2497SOpPp20rDt2MCybCHotzgo9af1pTteEpM/N8xfGNboXaEtlxun0O78ZfUaWoNVlLkmIgz5dDjPmEkzuubaf9le4YQjSXM5UUcKB4Dv2NchXCFGMdJNSnTCkyWxFEWFme6NqPwoBhcBHQ+C3PjtwhW4Qa6J/xpAuS3HpL3cUMXOS66no3gbXwv2RwMDa0sqTfnr7jy3AZVp+eharAvviFVGKmSjE+eDd6Gs47r8CzoW9YG5ij8reXem6oI9VW4bCgH6A83+LlCrNHfsmo3X1wbAwK4kIOtqfPLMeW3eNgaGBJbo2/AsGjFgTxyS7gty0ZeK3Z+WlOAsUBjzDP9sL4RJhwMDeiUtKdUVo2CPmz0xFEWFmeptqLwqBj4xAwr0YRGw//JFX8WGnNyrnihz6KVuO7qX60sejNcyMi6OYdWnsOzYPdasMfG1Rs5b2wu2oK6hCkrvJZLwTZrXELwMPwLZIGYyYXAOlXZrAgeeE2/dPlvWdW2hcL8RAjx/HY+yMpjA1toWVRSnex2HEpOooX7o97G0r4aj/cs47F6N+DHqFBF9bxIsHSUkwcbvU6hK3y8jXiggz8ttTa1cIpDMEDFxL4OHNlGNkprPl/l/LYXbbFPslUO150G8Rvu29Wbap7N0FG3f+nSwRFqNBTcv6w2BYwEJGcTl9YRvCr5+WxBZJgnSyq4ZSDrVRsnhl3L13TTenkCjHzmwGS0qBnZqPlymLhEVq0zq/oEYFTVQfO5ty+HoY3wXPGvVSyORgyOgtLShNJldSq0uufUZ/pogwo79BtX6FQDpCwOn3z9LRatJ+KX4BaxHHUGgbfP+Skz+in96NiECcC94liS3xipwdamDdjhFSlXo3+iri2e8JMzAI1WjHZuPw78LOtDv9BB7ODVGv+te6rgeOL4Q+MzjYUNoUPouiGDGZraGBGabM64Bwqjx1mRwYtSalUkDfRBedJmmb1OqSts0M98rEKzO8RbUHhYBCIF0gINSi1cr1QGWfLvJTq9JnJLJG2Ekr0sRFuCwMm1AZ+UlG3dpMxZifQ6QkqG1TyetTTPrtOj7nOeNjhlQbTrWnNvanIMZfBu7HDqpMQ8OOyS7+Zzdi9rJ+8HJrjsH9duCHz3fJ58+RJhE0tcvOsL+KCDPsq1MLVwgoBNITApFRYTgTuB03rpyAa8k6cHeqLz/1Kc0dPbUSBw7N0i03Ni4K4lOtXE8UZqzPsOunaDRzgpLcYzyIicSAX62l8YtjiSqoW/VLGV/02Ys8fQVoAGNmUgJNa/+MaYu60fjmEdtegoWpA4mwBS5c2IHRkzVpn7SSoW5idZEsAko1miws6qFCQCGgEHg3BPYdnSuzrodfOY4dvqNRu9YgOYCDbUXkomvD6aAdMDIqKp8ZGTLANQ1oho4thwIG5sjHbO2epRpLNWp+fWO0bjgco6Y2QE6qSe89uIUurf5hUO1cryyobtUvcPjkUqza/Csa1hiEwyeW4PsRpRBPK9Hc2XLB2KiYHM+Q46uSOgKKCFPHR9UqBBQCCoG3QqBZnZ9xLfSINE7ZuPk3uJRqCAsLjetECVNn+Lg2h6dHSznWmbObkCPhCap6dkSZ0m1Q2LIUwsL8cPOWxkewevleEB/f3RPhaF8dlpbOuHTpMHLQUEcPObD/wHSUK9sFv319VI4XFn4CbrZVkI2ZLvTpKnH23BZ83m+jrBP9AjhfHCVQq8Kusl92tlPlJQJKNfoSC3WlEFAIZEAEEu7HIPbSNTy8dSdNPs9SsRoV8JWgP2Clir0xb0E3nuu9bmG6bftfWL7yK5ia2pGc7mLCpNq4ezcMenqGWLykLx49ipVvISb2Dtav/xH585tCEOfUGS0pPVqQFEthOyXOdRt+lu0uXzmGSVMayDRMj2glKkhYW1Lrp22jfsH/tFBFIaAQUAhkYARubTqAa8u3I5+tVZrsosQ3nZDHrFCqczVu+DuGj/TEth10naj9MqRaQsIjSVT9+qyHg301OYY4x/PdORatWo6FtbUn/E+tgY83I8b4LYNjyVokQhOqSPXQ9dN5cHCoLvs8evgAFwJ3yutt2/+Gj1cHNKj/i7x/8CACsbF35XVq/WQD9SURUESo/hAUAgqBDI2AnpUZTGuXg03vFulmH7ly6aFTx5lS2nN1aaRb1x0atSQwP+HCRb10z8SZXhESoCjly3X9X3vXAR5VsYV/COk9Ib2QQEJCQhJ6r9KbFAERBaWpIKhYUCwPy1MfWAARpaggiChNkd57J9QAIaSRhPSQ3ts7M8su6dSEZPcM3+7ee6ed+WeXP2fmnDM4fWaNJMJTFHWmf9/35HNXl/Y4QMuke4kwY+OuoYjcIqxIoxQpOiYAHdq/IK/FmwctpZ47rwjwXVU9VQW+YI2QvwOMACPACFQHAk0ad0K3Lq9i1eqJKr8+PTr9XaTp07bDjAxmRJKxRxvoyeuWLZ6hZdOZCA07AUGa3mR5KtLav15DWlocBvSbjUaN2uLo8Z9xkTRHkUQYtaSku8dfZdDp8spUVT1lGf7kpVH+DjACjEAtRSD857+Rn5JeZTgzIXr6tTBUFe2lJocXddMf4df2w821ExycWmDI4M/lEml8wg1s/GMaHGy9yDDGB2t+nwQX+xZ4etS3mP99L7Sjpc2e3adDV9cQLVuMwO9rplCINjds2/SeLJOYGIrWrUbDza2rDK+2b++3tP+ocJZv1qwP/M+tI61wvBzq+QubYHgntmjZemfP/on69bVqEpI60RcvjdaJaWIhGQHNQyDrZgyMPV1g4KrQnCpDoDAvH/mJKZVl1+jz4uJCivZSHxf910siFEuk48f9im++64bcnAwZE3TCS79j+c+jcJwO7PW/tg1N3buje9dpKjk7kjP+8RPCMX8KaYs58nk/WiJdt+FNiOXSfIozKpZbz5z7SzrZ9+vzHuLiAjHnMw8qW0+2l0N7iCKVrSdI9sjRpbJefT4yS2Ik3pgIVVDwBSNQtxFIuxqK3Pjb0DY2rHIg2dHxyM/IJDP82p20TYxg4uMOU1/FXlil0hYVI+1KSKXZNZnhaucHcwtnXCIiHDjsC9l1Y4r72ZWCYRcW5CExIQT2dt4YN2YJUlNj4NtyBIQrQ0JcEC6f3yT3D5u3GIYfFxVg15Y5yEhPwLnTa3Ez9AQG934fnj6DYEKh1EJvHIav1wDS7hSG/73Jp7ChoS0akFGNX+uRiIo4J/tu7j2QfBstcOHcehRR/5bGdvji83BZ78SRZWjq2VuSdgb5Kop+G7t3q0m4ak1f7D5Ra6aCBWEEHg2BmH8OQrySjpyv8pUTnYiC9KxH64xrV4qAs2t76TahJCNhHBMSdAiezRX7faJi8PUDCL1+UJJgXMxVLJnfC+m0B2hCAbh/XjQQ0VEXZfv+p35HaNBBWNt6Yu+OL3H2+Er5XNS/cvFfeR0Rfho//zAIOrSsWkhRZpZ/3x8nDitCul0L2I7flo6EFUWisSW3i0N7vsXOzQq3iyP7FmLlkhFyj1KfYpcuXdAXMbcuyzY17Y01Qk2bcR6v2iKg72gN87ZesO6jOGG8soEKrVHfzqqy7Dr3PPtWPGI2H8TtYxdqRHavr2ZA38G60r5EoGy/1qNw6dwGODq3QiCRkbtnL+nnV1ElQUgif+jo+TLb1MweaaQtiiTqj3xBQWrCqEYQYNm0f8f/0K7TBPQdPEdm5ZAVqjj3UCThPjF2wiq4ed51u7hxx+1C5Ht49aV6CreLECLcm2GnYOfgI7I0KjERatR082AZAfVDwPHZvhCv2pT82ozG78vH0PLol7hwdh3adZ6I7KyK9zGjSQvr1H2qSnwvX4W7hVgOtbYR+36KJJZcsyk6TNkUE30ZHbu/qnosSFVJhEI7Pbp/EQ7tnY+4WHK7IAObhnfcLkQFNw+FL6O4NjC0kBqluNa0xEujmjbjPF5GgBGodgSEJkdWM3IvLzL8jNT4KutUR8cAKcmRquzbiWEQy50i1dcqqasUq8qUvLCjsGkJsYrQbOJ5YvwNVfamta8h5MYh9Ow3C+/OCUCPPu8AxXfbaUCxTDmxsQx/BxgBRqCaEEg+fUW6P2gZPZxZTkZIJMySmlWTdNXfrFge3fjHa2jmM7BKl4Wm5P4gDGU6dZsKPX1T/Lv+bbg3633fAgojl2MHfiBDmoHkaJ+Pc2fWQkdHYTCVlBCKFqSdNnbvKq1NL5z5E/XYfaIctiX/3CiXyQ8YAUaAEXhYBGK2HkZxYSEMnB7u9IM8ih2an5rxsN0/kXrxUZdxLDFSLoX6tR6N/Tv/R3t8S/DLvB6wdW1ToUxde72BWFre/PJDVxiRRaizS1u07zIZ+3YorE4rrHTn4ebfpuA2kZ1YAl38dVfo0Wn0jRp3QHjIcSz+pAW6DZ0jfRH9T5LbBZ1r6ENWqiePKNwnKmr36K5v4GDXHC4e3SvKVttnTIRqO7U8MEbgySKgb28FE3J9sOzk91CCCMvWmoof+lACVlDJ1akNggN24tiub9F1wCx8/ZPC6T2fDuJ1ce2AQaO+kbWUhi3iRhy1NHbi78i7E2xbWH+K1G/Ip/JT+ebbaiTESyRl/cz0RMz/yAPOTbtizrxombdt0/tIo0gzY97cA5em3Yj8hiMjLZ5IVmHgozSOmfXJFVle+Tb+5XVY9HFzuY+ofKYpn0yEmjLTPE5GgBGoEQSatx2Ng1s+g4ffYFjbe1XYZ9Dl7Qi5sgd6BmZo2XkCzCydERlygrbviuDmrTD8OX98FSytm8DZrbNs49T+xfBuM1JqjcpGDY0bol3PqdhN2mMDPSOxqUjGMd/DlxznBQkqUyYF4j61/we5RNui04swb+hC5BiHoEvbYWBkiaiw02j/1HRlcfkZG3WJSH03tT+NXDMMSuWp2w0TobrNKI+HEWAE7guBzPBoXHlvIQyc7e6rvLLQvU6fcHbrAmPyB/x7xURMmX2s3P7gkR3zcO7or+jQ63UkRF/Bsi864OUPTyKHrEqP71kgibCAnN+3rZkOd58BkgjTU2Kwf/MctOl2N1i3Up4+Qz9HZPAJnDnyM2wcmsPK1AmjJqxUZmPv3x8h4PRf6ND7dcTR0u3Sz9ti8uyjcs9w94b30NDWQ760Shz8K0jw9wWDMGTcj2pPggIoJkLV14UvGAFGQJMQqK+lBT1bSwhie5CkY2l2z+K9hv8XP33WCkd3fo1uA+8ew1RAxzAJbfGF17fA1fPuMUwn9szHU8M+I/KcIN0sYskP0M65JcKvHyQtsRhCg2xKpKjVQLtc3/XIOnXMK39h8RwfRF07iAnv7KMIM7qynDiu6SgR70vv7FVpiMKN48iOuZKIs+m4pmenrifivruPG3frCo7v/hbDXvoZbs37letPHR8wEarjrPKYGAFG4J4I1NOqDy093XueLXjPhioooE0xRoe99At++64vPP3uHsOUTK4RBRRpZvNvdzW7XHKAtyN3C106maIRhTgLu7YP0RHn0bztszhz8CfS4i7h+qVt8Gs/toKeFI/EEqlYYk0kNwpbp7t7skkUuk3I4tSkk6quWHo9f2ylvBdWqiVJUDzc/89/yPOjHvTJr1BTEhOhpsw0j5MRqGMICIvTwuwcFGRUTzi4/MxsFOUrjFmqAxpnt05o2+NVuURaVJAvuxBkJ9K4N7fD+M4xTCIsmtKfz6PFEARf2Y3YyEsYPnEFBJEFXd6BiBtH8cykVbJuZW/C57C03yGIXE2kEU4WxSw1NlMsASeTlamphaNspuRyqLLdwS/8iKyMRCn3qx+fVWmXynx1/GQiVMdZ5TExAmqAQH5aJsJ+2gAtfcUy3+MeUj4RbC7FXX2cKSU+BJeP/UaGJ9MQF3EB4f5bkKddnwjtBgJOrJHGLiLs2f6/P8aIyatl1yu/6QXfDs/TUuV0ePgOxqGt/5UxSK3sPNHEqxcR0iQ4kkuErjCGoZQYfQ3rvh2Iad+Gyfuq3sytGsPSpinOHFqKHkM+RkZqLK6d/6ecYUzJNoxNbeDTbgwCzvyFA/9+ij7PfFkyWy2vmQjVclp5UIxA3UfA+8vSVoyPe0Q50QkIWfjHY21WWH0qtb/iokIUkNvEcHJL+Pl/XaWzu+hs0JgFOLZ3Ab57z0VqgsJnT1hmiiQ0NWOKNWptpwgk0Khpd+Rmp6JZy6EyX7wZmzui3/jFqvuqLsTZg6NeXoMNy1+QBjpiWbZFp/HS0jQ2UhHYu6L64lSLoeOXYekX7dGs1TA4urarqJjaPGMiVJup5IEwAozAk0agZbuxSIgsfYKDU5OO6Nn3Xbk3KOWjJV9hLKNDy6TXTq1DE59+OLXja2SmxqFp62F49SNFeLWiwgLcCjqKzt2noV5+vjzGSSxliqXUpJjraOI3UDYXEXgIQef+IUMaXXTsoSDUkjgIo5sZn19BJi2P6hmYk7ap+G/fzrkFZn0XU7IolQtQ3Vs7eOPjH+tWQAOV8A94wUT4gIBxcUaAEVAPBAqzcpBFLhQRq7c90IDshnSDtplir++BKt4pfHbP9zC3aQIXWvb03/sDLhxcCo/WI6BvZIE/v+6Ll+acgYVtU/z2WXsY0T6iR5vhuHx0Fa6e+hPPv7cfmeT/d3zrl2jXfyZiw/2xecnz6DpsjvRB3LToGQyfsQGNPHuUE83Q2KrcM36gQICJkL8JjAAjoJEIaFuawoqOrBIuFA+S6jXQepDi9yzr2rwvugxTHIV0k9wfokNPIe7meWSlJWDiZ+elBad3h7FYMN0KoQG7YELO98p0Oy6YCNQSLs37wIyc5O1c28LgTgQZZRn+vDcCTIT3xohLMAKMgBoioGNuApfJw5/4yBo1u3sUknBZKCRfQ2F04+LdW5KgEFCbIrs4eXSVS6IlidC95dMIvrAFy95vBks7D6lZth/47hMfU10TgImwrs0Yy8sIPCICmSFRuPrRYvKh03nElqqunh4UAVtafnzYWKNVt64+uUrXiZIj0iG3h9SkEyUfSXI0ueP2oMwQPoIDJixH33GLEXJxG05smyuXTu/XmEbZjqZ/MhFq+jeAx69xCLT8hZbh6tM56uQ0XZ0pbNkmmLX0rM4ual3bgcf+UMT8fETJGvv0xdHNn8o9wIO/vgbX9iOQnnwL9o3bQzjgK1PA8d9xbt9P0M4rQNex89DEdwAyUqKV2fx5nwgwEd4nUFyMEVAXBBoYGdTIULR0dfC499NqRPBH6EScByhcKB412bq0Ru+xC7Dmf09RrE8jJO5bjBHTN9D+oBMSKASaMom9w39b4hsAADC5SURBVJCL23Hz2gFs+XUSdPVNMPy1dcps/rxPBJgI7xMoLsYIMAKMwL0QsLRwgVtbxb6jILPp8xUnz/cY9ZWsmhgZAG86EzD22lFYWDXBy18pSO3inp/QuNUQDJ+uILGgk+soLFpHzPzxNs5tn4+m7UfCxMqFYokeQsjZf9Cm8yR57disO4ZO/QOivp17B1i7tJRGNv5bv0FqfCgMze3h1e0lGFs6yueh/v/KMtdP/oUGtKzq+9QrVEYRcUYY51w7/Fu5evcaszrkMxGqwyzyGBgBDUJAnHxP67qor/Nk/vsy8nB5qP3V4+s+wvUTf6Fl/9eRSL6Gf3zUFs/OOQpzew8iu+9g1chXEpaYymtHVqMJEapVIz9cPbxSkld2RhJ2LKYINCMUrhJb5z+DwW9ugKNXDyLCxTC3a4r8nEysmd0Cnp3Gwt6zK26cXE/1f8NL3wUhi6LKHF37HiwdvdG04xhEBOzFpv/1w7i5l6qsV91L6LXhq/tkvkm1YeQsAyPACNRJBMKWb5IuD9qmD+/L9ygD13e0fmAizMtOx9kt8/DMh3vh4NlNdp+bmYIzW+ai7yu/3pc4KbEKV4lGPn2kdmjbuC30y7hK5GQmo/2I/8C31yuyTXv3jlgx0w2if5Fy6eSJrs9/Ddsm7dC0wygsm2pLz1JlfmX1dA1MZF11fmMiVOfZ5bExAmqIgL6DNZzHDYJhE0Xg6LowxOTYILkUaed+9xSIRr59ceXQyvsWv0nrpxF2bgt+e6cZaX8ecGs3Am0Gl3aVEEughhQrVGiOiRGXVWHdiosUwcW1KV6pDRGoSHrkfyiSCLt2r3qyoBq/1VfjsfHQGAFGgBGoFQjokBFLfm4msmkfTpnEHp4gIJHE8qMyRqm4F8ugZZPY0+s9ZTle/ikWbYbMQvDpjTi85p1SxcLOb8P+X6fRPuUIPPPBXoz86IDMF2caiiRCtFW01HmverKyGr8xEarx5PLQGAF1QSB08V+4/PZ3CPx0KZKOnENm2K1aOzShYV3ctgA/v2iGW1cOIi8nA6bWjWFGe3g7fxiLE7+/h4zbtxBMRi/KZVID0uJigk/JMQmDmvjQM0iNuVFqjNeO/o6NX/Ym53pDeHYeCxe/AbS3p1jyVBZMjQ+jfjzg3u4ZGJhak8a5QmYJa9aq0sPWq6rNupTHS6N1abZYVkZAQxEoIj85i44+0i8xJyEZujaKZb3aCMexP2erxNrwVW8yhvHE+HkBGPDaGvz9VT/EhZ/DpaMr0KzrePj2nirLth/+EbYTSV7evwyGZrbQ1iYXlzJuGMIAJvzCdqx8yx31SbMThDjo9dKuEp5dnieDnD+xalZz0vzqE1n2l/uJyRSkW49imVaWqqon5FH3xESo7jPM42ME1AABcSahnp0V7Qs6QbehORoY6NXKUY38aD8Swy9g6xf9MfzzY1g/qyWe/c8RKatwbfDrPhk5mbfRbeIPkqhuHFmDhLBzktiGzFgHC7IcNTCxwtqZXhDGMKfXfYKmdASTOJqpHh2NNGD6H3S0Uy4CD64gjTEI1/b9DOcW/SXRik6u7F2Gfq+swHWyOi2iEyua9ZwIv97TEHjgV+iThvjiN4Eq3OJJA+045EOc2/gFLJ195DKq0DC16VQMrQba0kFfVVjNL5gI1XyC1X142bfikEGhvHTMTdV9qPccX2ZwFOpp80/6nkBVc4HAAyvRpONomNo2QcPGrXH98Cr4DnxD1au2joE8Sf7AkilITwiHZ88Jchl021eDiDyPSiIUhY+ueBPefV5BAS2t/j2nG4Z/dgTmDp448uv0UvUUpHsU1k3a4PL27xGwczG8ek1GXPBpbPtyIIwaOqNxu2GIvLgbSTcvo8crS3Hz/A4cWvoyWo34AIYW9ri49TukxYWiw/MKf0eVsBpywb8aDZlodR1m0vFLiNt2FKY+buo6xPseV3pgGBqYGt53+bpaMDc2CVc/XPzE/Ai9vpoBYblaURIBs28c/QODPtgusz17vIgL/35TigiV9axcW6Lds59Jh/bioqI7RHVJEpoo04zIrM3Ij2XxNNr7C9j1I7pO/B73qidI0GfADDTNSMaKydaS3Jp0GAlbz87YOU/h7C8Mb3pNXwWH5oqA3/nkXhEVsF8pmsZ9MhFq3JSr14DFETqWnf3gMmWEeg3sIUYTsWorLR82fIia1VOlIDMbWRGxpK0/uh9adlQc9JxspKAtlnxQPQI/hlbDzmxGHvnlnd88T7ZWQJaiKdHXpdGMg3ePUj04+vTC+X/+h8SwC2Q8EyXrlTRqcaJ8ZbL36o6b57bJ23vVMyWjHJF0jcxl4AEbt/byXptCteWTdimStVs7BOxYJDXB5FuBKCL3ClNbzf1jkolQfi34jRFgBB43Ag0M9ZF2IQjZj8HCM+1yMPQq0cIet9yP0p7YuxOaXKPWg1XNCMOWK3uWoCQR5udm4Z853dG832vo/vISmNGS5+ZP7h7HJCoLh3tlSk+4CT3jhuSCce96Wtq6ymqKT9pbLJuO/DIdWSmxaD18NqyatMW1/T8j7PQ/ZYtpzD0TocZMNQ+UEahZBFxfHfnYOgxbQgGna/nyd3piBG5d3o/u3y+BsVUj1dh19I2x5fM+kniUD3MpAkwuLV169Z4CA7LKFAY2iWQ006TDM8oiCDm1ES5thiDzdjTC/beg7ehPiBzvXU/VQBUXYj+wScdRsGvWlYxvshF87C8yxnm8Bw5X0X2ty2IirHVTwgIxAoxAXUTg+sHfpIvC5pktpPj1tRpA19gSTq0HwYhOlb+2/24oNSMLB/iQAc2mDztJItQxNCPSexrn1v8XNqShyUT7hsJ6NJN8Dj17TIB75+ekM3xF9VKigx4IspbD3sOxlW9CWK0KImzcfjhprcvIY6NIWqc+UGNqULgeRRxQhByo5sFkhkQi8vft8JyjiIFXzd1x8xqCQCI5V2cEhvMeIc23co/Quk8HtZt9pUZo2VlBMrV1gHu/GgozRy80GzidIsXkIZO0xDOr3ieXBAP0+2RvuaguBXk5KCzIha6Bwup5w7Sm6Pr6CtiQYYtIij29elS/tBFU2XoPi0d2arx0q3jY+upSjzVCdZlJHgcjwAjUCgS0DYxhaOkgZTG2cUX/T/di3cvOCD++Aa6dR8nnUed24NaFPRCaoPtTL6mIsOQAclITcIO0zIy4MOjTUUminCGFZLu6/Qc0ajcUhg2dIKw9r25fBM++r5L2aYGs5BhEnN4Mz36vorL62SlxiPLfDl2Thki4cRrNBrwGA3NblJXJyMq5pDhqfc1EqNbTy4NjBNQDAeEaEr/rBMKXbnziA6rKfaIi4YQ215B8/JLCzksivPz3PATtWwGvQTOQEnkVW9/viMH/O4GSxCOOU9r8dks07joWNs26IOz4egQfWIVnFl9HfOAxFBcWwHvIm4i5fADn186Bia27bFuQ7W2yQs3vPq7S+oIsz65+HyYOHjCll4g/ej8yVTQ2dXnGRKguM8njYATUGAHfBe/W6dGZOXkhIz4cws/wwvrP0fuDLbBr3kOOSbhMXNmyAO0nfqcaYx4ZxfiN+pg0O8VWkpVHR2yc5i41QCcyoAk9vEYS4a2Le2BNRBkTcEASYdQ52n7qNxVV1Red5GbcRs931klN8H5lUgmnhhdMhGo4qTwkRoARqF0IZJMWZkAGMunkGF9I+4LHfnxZJWB+dhosG7dU3YsLsQSqT8uVhxa8gGSKBqM8mUJogo6tBuDEstfIyCUHMZf2oePLi3F86TQiyQwkBp+F/aw+aKCrX2l90b4O7UmK5VCR7lcmWVhN35gI1XRieViMACNQOxAQBBV37SjaTfhOxvEUUvX9eJskRnEtNDIt7dKxUyNpD+8EkVuHKYtkPWHNuW6KE4rpnwie3bBJa6kVCh9FO5+eMgzbjf0rYOvVTZJgVfVFn6KeMonYoiLdSyZleXX8LO9pqY6j5DExAowAI1ADCNwO9kfIzp+Rk55MryQkhZ7D4e/HoyArHVr0TxjRmDfyQeCuZRRvVFu+9vx3EO0Z/lJKunTy8zO194BLhxHSqjOYSE4kpWbo1HYILqz7nKxLO2HDs+Yozs3GRXK9cCYjGpFEfXF6/dn5kxBx8A+UrS8L3XmrSqbdb3VEfMChksXV8pqJUC2nlQfFCDACTwIBobmlJUfizwnW+GuSPfZ+NQy6huYwb9iEjlVSeKp1e2M1Gbnsw/pXXbFpRjNyt2iGZv2nlRK3Sbfn5enyf7/hg39m+skoM0bWLkijcG0iORMRZpF/oQ1pgAWkcSIvT5ZxbDNI5ov6OWQdmlmYiQubvy5XXxYq8VaZTL4vfgET2t9U98RLo+o+wzw+RoARqDEEbBu1grahKW6d+hd9vzkFU2cFieyaqYj3KQQxd/ZG2+e+QBSV0aOjkZr0mySd2GMv7EPnKYtVPoRevaZAx9QKdi1601KmNkwtnGFGZxuKZGzTGC9tyEdu+m1579ppNPTMbCgMm+Kcxga6BtCDDqya9YS1Tw80Hz0bbcfPRfTZHbh5fDO8e7+KzIQIGJKLRFZiFKJPbsaAT/ejqLgQxfl5CN27AvkUMzUjJhhGto0BkkOkGP9diLu4H0b2TeDYYRj1qQg+npuWhMhjG5B26wbsW/eHbcvesnxdeWMirCszxXIyAoxAOQRu/rqZTquPhrapUbm86nrQaMIQ6FiaVdq8lVdn6JHf36kFk9D766O0/Fk6dNnVDfMQumcFPJ6egdSIq9j9dkf0/fYE8im2aOA/C2DXsg/tG+bh7JIZsCNScWgzANm3Y3B5zSdw63/XyKakAM5dR8OfyvuRBidSjP9O2BABFlBs0vp3QqdV1q8gw8TAk0R6oWj/xs848sUISao6FLQ76N9FMLJzg5GNC4K2/IDr/35Pcr+OtKggHPioL/ot9EdyiD8OzhkI114vQt/CDicXTkSzEe/IciVlrM3XTIS1eXZYNkaAEagSgfyUDBi5O8HUr2mV5R5nppahwT2b8x33OXa90RqBm76G16j3VeWFYcyVPz9Ht/9sgY1vD/lc7PtdJwL0ef5TnJw/AXkZKUgOuwhzsiSNv3yIVlSLSZPbDnsiRKEZVpQs3NtQuSLcDjkHiyatEHH4L7j0Go/Q3YqwblX122rKd2j/+s/YMaMFTi2cjPSYEHR8Z025bi7/8Sk6vvUb7NsOlHlXN8xFDlnDBqz9HI26j0Wryd/K5wZErGd+eAVNB0+vM+HamAjLTTc/YAQYgbqCQAMjfRi6OtQoEd4PNsJ9oR1pVwc/7geHdkNUVTIpSoxwnzi96K5ml5+VRuTVEiIijVXzroi7tJ+0rPNo1G00bmxfgpTwS4g+sw0uPZ5XtVP2ol69enDuMgqRRzdKR3mh4XV4e5WKCKvqV7Qlljh9X/gMZxZPRY/Pd0nL05J9ZCZEyqVSa5/uqsdeI9+T12lRgXAbcDd0pl3LvnLfMpuChRs0dFSVr80XTIS1eXZYNkaAEaizCFg160QE8SotFU6Shi9iIA3oJAqReny6Dfp3wrAVkZZY/477hCDNmHO7kRJ2CR1m/ir33GJoXy/h6jF0eGuVrFvZmyDCY3PHwKyxH+yE9khBv5XpXv0KrTR453KYu7XGtY3zSFvtWSouqthzFMY+gtyM7d1lswlXj8KQQshpk09iZly4sisKCRcqNVexZ1lXEluN1pWZYjkZAUZAIuA/7mOcHv0exKcI5J907EKtQyZ02wpsHtEIjnSqQwFpfKnhl6WMBkR+pi4+CN6hcJ/IiA7FP+OcSXNTuE84tBsstb+c5FiYOHrCtkUv2jecD0uP9tDWr3of1Jy0SlqLpKXX/5I2+WwpTMr2K1w3Ds4ZpOo3YO1nsv3ecw/Rcmcc7QcuKlVf18SSCLYFwvatlidU5KTE017iSHkt9jFv0lKsMJgRS7Ahu34heTtWuoxbquFacnP3T4ZaIhCLwQgwAoxAVQgYujnC6YWBMGzihPBlm2DczLWq4k8kL3THb7BuSafK716L9m/+gr3v3V1S7PT2ahz/dhxuTnQlTZAsO727wH3QNCmnWErUt7CHqVMzeW/dvBsZ0aSShabCP/BegxFGM2F7V1KbXcsVLdmvlo4eWZN2l/0KzS5o62L0X3iWHPt1ab9wOfZ/2Bs2fk+VaqPjzJU4Nu85hB9YDS0dfdrT/ISsTp3gTRapGbEh+HdSY2kxa2zbBJ3f+7NU3dp+w8cw1fYZYvmqRICPYboLjzofw3R3lEDgp0vLEaFl19IhykqWr+nrlJDLOPLBCPScvxt7p3XFwNUB0DFWWJkmXDpKSpsW4i8eITLRhfNTzyLy0CY0HTENQovMTVO4QyhltiEytfBsQ0urBYjzP4D4cwdg5OgG134vSBLNTUkk14cdMHPzRdTBTdCivUnXQS8RmSrCpyVdO4PY03ukAY6pqzdc+o6lvb40Ws40eWiNTZxqIU6uEPuSJVMBBQoXcuqQ+0hdS6wR1rUZY3kZAUZAhUBechpSzgeiMCdX9ay6Lyw6+qKBUeWWo+G718Cx23DytXMlgvLDzb1r4T58qhQr7txBiHyhLRraNEI+WYgGrv1WEqHwP1SmzNibuPH3T7Dy7ULGNbnY/0Yv2lO0g0PnIbK9yIMb0X3eFlrGjMflX+j0iUaecOr+DOLPH8SR2SPQd+lxxBABnlvwBjyfexv6De1wY+MPyIwJg8+kT5TdPNSn3h2fwrKVG5Q5M7Fsfm2+ZyKszbPDsjECjECVCBh5OCM7KgE5sUlVlnucmcUFhZU2J0grYv96dP1igywjNLCg9YtURCgeCoJs9+4SmZ92M1B+ijenHiPktdDyDrzVD61mfIuG3u1xc89a5KYmofePR6QW5tRzJLaMdiMNcT8RnD2RaSp8p3wOC4/WRMDDsHVMU1pOTSPtUA9tZy2BdYtusl0R8zThvPqHS5ODfcC3GiPCvKRUJJ+9iqsf/PCAInJxRqByBDLDo6Glr8sn1FcOUY3mBMxaCH1HRbSR6ur49qkAWHZvJfcI7YeV3seqrj7vt93oE9vl0uP1dQtlFbFcmB51Qy6FWvsp9u2MnSr3eSykmKHHP30ejl2HwoWWP0VKiwyCTcseqqXIBnTafcPmHZFOzwURNiAjGvOmrWRZHRML+SlcNAQxBm9ehhubFiMtIkieYWjkQKHeOJVDoMaI0NjHDV5fvU4hg6q2fConIT9gBKpAIOn4RdIIYqsowVk1iUBWaBQcRvep1i5TLwZB20ThhlCtHT1E42LZ07X/eNi176+qLU56EPt/SiIUBikVJRGn9PS8VyW5eb/0saqI8C9MunpadS8uxBKnvpWDfCac7Mvu14mM84vfRe7tOLk0at60JcJ2rEL08W2yDr+VRqDGiLCBvh5Mm/NfI6Xh57tHRUDPviEK0ijoMKdagYAW/c7N23hVqyxxzrYUUs2wWvt4mMaz4qPImOUgdOs7oMmAyTB1U1h+CiI7/P5Q7BrdFcXaubDt3LPC5i8t/xg5t2PR7X//lCI2m9ZP4ervc5F84wLM3Vsg9sxeZCfF0JFOpjj9kWLvsaIGBVmKvUqhPQpNU+wr1isT7q1svYKcbOwe2RV91x8mTbPyfdCy9er6fY0RYV0HiuVnBBgBRqAqBML3/EEH3lpAK18P0Qd3qoiwYfMO0DWzQk5SNHRM7hrElGxL7AsG/7OE3A9MsHUsEeidkyrEnl/rNxfC79WvcGjW02StaSFDqXX4aBV0yWilICcHdLpThclj9ExcXPI+IvatI4ObbGloE7p9pfT9q1e/Ehdy6rcwO4vaU5yUUWHDaviQiVANJ5WHxAgwAjWPgNfzs5By7hoMbOwlETabPFMlhL33YHmWYOatm2gxba58nnz1IuJOHoJr15cQe3Q/hm+JlS4NiRdOyxid4lPH1By3DmyHuWtLDN0QJp3WdYzMELJuBfRaWkFLSw8D1gXL9nJTbiNy199w7/c6IrZuhFP/4ej/qz/Sbt5AcsBFmLqTpp6phaBVi9FoyBjoWSpOlMhNTsKt/duQkxgPu259VTJr0kUlfxZoEgQ8VkaAEahLCBTl5SMvKQU5cUlP5FVUhdWowNGsmS9pXYVICboqYRWWpIkXT8O6vcJ6UzyMO3UIZ+bMgC6RkbGLuyS2wF+/l+UT/I/D/7O3IEgz93YC8ojgRJ5Y1tQztybyPCwJtF6JANwFpMUdmjwMgtQsfFpT31dwfOZ40h5JsyssxrVl3+DK4i+hb+uAtNAgnHh3kkK23BycfP9l3L5yAXpWNrgw7wP5XNPeWCPUtBnn8aotAgWZ2ciOjEVaQMgTG2N+anq1911cVIyI1duhpVex0Ul1C+D2zjjo2VhW2o0wXLHvMQAxh3bCrKkX4k8dhlUrCjmmfffkCBHZpdUH89CwZQfZTkF2JhLPnVS1aejgjFazFZpjXmoKri77FtkJcWQgY4OoPZvh1G+Yqqy4yM9IQ9Px0+Dy9Bj53MK7JfY934fCu2XKe5Hv9eosmBNJ2/foj90jOlOddMSfOYK81GR0X7pRlhPa7Jn/zJDXmvTGRKhJs81jVWsEhJN3+pUQ5CakPLFxCjep6k7eX9X+/6gFEfp/NhPNprwllzadB45EfvpdbITWGPb376QJrkR6RAi5NhTC0KGRCjoj58aqax1TM9h06E7tbINzvxFIvHAKLWZ9iczoCFUZfStb6Fo0hP9/35EaX3FhvswrpkgvImmR4YuZp4+81jFRRLkpIk01PSwYln5t5XPxZunXjuKVlo4Yo8pU4wsmQjWeXB6aZiHgPG7QEx9w+hPURp/44EsIIDRBQSgJ/ieQEngZrT/8BtGHd6lKXF74GS17JsL9+VckQUVsW4+Yo3tV+fV1dFTX4kLs9wX+slDGArVu1w3aRsal8sVe46UFn8Ln9Y/R/LXZ0qBmz6juKpsXoY1W5GKha26JJFq2VSZJ1ncMdZTPNOGT9wg1YZZ5jIwAI1BjCOQmJ+Pchx8gLz4Vp2a9gnpF2kg6f65U/1nRkaTl9YClbxtpISqMVYoLCnDkpfHISUhAflo6Dox8RlUnPTAMaSFBuLZ8gSRFVcadi6yYSIpB6gp7MnYR5Ba5Y5PMKbqjGZYtL+7PvPMWuUiYyP3EtJDrcj8x4k69isqr8zMmQnWeXR4bI8AI1CgCYrkxfN1fMGnaFG2+XEBOCAWw7zkA5//zsSQ3pTBuY6cgdOMqHHntWfmyatOFjGMiaE8vWxKjlr4+vN9+R1kcUdu2wq5zH2gbG8r9RlXGnQuH3kNoeTUfByYMxoGJT9MybJo0jMmIDC9bVHXfePyLsO7QBb5vzsGJWZOw97le0kCnpBGOqrCaX/DSqJpPMA+PEWAEag4BUwcfGDVsCrcXX5KdDtmnsBytX08XusYN0W3JBunHV5CSDbt2A+m0hjzYde8Fy1at4PHiazj47Gi4DB4DQydn3Nq1E+jYEeEbN5DlaAqy47Rh1aabdK1IDw1F/OHjMopNVkwMDOzs0GXRWoT8uQYWvn6IPXAQrWZ9I0m1MDMHvq99hisL5sO4cWM4DRoMIVfE5n/IZzBHGt449BqMyK2bkRkRBbdhLyP12nUpU80h92R7Yo3wyeLPvTMCjIAaIZBy5Qpsut11k1AOzePlV2D3VC95GzBvLqJ2bIepZzNykDfHmbdnIjUwUFlUfuYm30bIqt/kdVFxPgqK0pFxKxiOpPldX7YU/rPfh46ZGfn+JeD45InIiFAYzkT9uwUBc+eiKDeXtMJ0JPqfldpowsmTMHZ1ReiaNQj+baVsN3zDemRF35LXV775GrEHD0mZxPFQFckkC6rpG2uEajqxPCxG4EkgkJtwG/7j78bJfBIyVHefXmS1qu9gXa4bESs0MyoS+jY25fJKPhDLpu6Tp0CvYUOpHSacPo204BtEQp4li6mubTt3xfXlC+EzYw7MPLxxZubbaL/ge1i0aCHLCMILXbMavrM/lPdOT1PA7mdGyuvU64Go16AB/D5SzInwK4w7fFjVtvLiQWVS1lOXTyZCdZlJHgcjUAsQ6LRzcS2Q4smIIMKWGTg6kpYVDTMv71JCFJKGJixBheWmZZu2CPl9NdKCgsgwJh4FmZlkKFNYqnzJGwM7R+joNpQh2zIjI+h4JV2YNW+uKmLVrj2itm9T3Rs1uuuGIR5atmqtytMxNkFRfp7qXnnxoDIp66nLJy+NqstM8jgYAUbgiSNg6uGJxDNnyslx6Yv/IuDreXSAMEVyeW2qXNb0mfUeeqzbQEuWjcuVr+xBAwND2tfLlnuGyjKCePWs72qh4jSKkkmrjCsGmYeWzH5kmUo1VkdvmAjr6MSx2IwAI1D7EHCfNBnxx44ifP06FBBhFWRlIXLLv0g4dRLuEybKfTuxlOk85GkYubggPTgYqUHXZRzS+xmNgb09GdI4IZIMXYQTvnC1iDt8CBZ+fpVWF7QnwtJVloQ8jyJTZe3Wpee8NFqXZotlZQQYgVqNwI2Fv8LA3BlxRIY3VvwqrTbNvL1haNkIaVduwLpHJ7iMGo3jr7xMcUYtyB3CGDZdupK1ZkSF4yrIzELsnkMyL+tWDC6+81/4zf0UFz/7BJHkUlGUlweH/gPgPFxxun3JRrIibiFu7xHkxMYicfspmLXwhoGHY8ki8lrPyuqBZCrbQMiy36Uc7tMn4vSEN+E+YxLMWymi2JQtW1vv69HmaWk9ubZKynIxAhUgkHjkHDICw/mE+gqw4Uc1j8D5mf9B0gl/uE17Cc7PDaPjj/LoaCVDnHrpDbiMGwmbXl2lUGLPsCg/nyLEVH1QecLhkwj7bR3a/fIdMoLD4T/tfXTf/adsIzclWUaYqU/GMGVTdnQczlJsUYdh/eEwpC8aGBkidtdB3PjhV3T440daSm1YtgqdWXh/MpWteGPxCkmEHjNfwe0zF2Dk5god84qPmypbt7bcl0ewtkjGcjACjAAjUAcRsOnTDaG//IGGXdvDyNW5whFkR8VIbQ1kYGM/qDf07RV7fFEbt8HEuylid9NyZ9sWiNt3BLnxiYhY9y8sWvnKttICgyn/IGmTRrAnktNtaFGuj7Bf18LMzxuNJz6nyhOkmB0Th9RLV6HXu5u0WI3ddQCiPbGvaNmpNSxaK5ZYS8ph1a0DzFs0p+DcaYjfdxRC07Ts2AaW7Vuq2lZeZEVFk0WtHYQ5jiBxY48miNtzGPV1deA4YqBK1rzkVERv24PsW7H0zJLG0adCcla2W92fTITVjTC3zwjUUgROP/s+DOi0d04PhsC9Tp8QBCSWPa9+9h3a/vxtuVPhg3/6TZKD07NPIyMknLTF19F2+bcwbOSIm3/+I0+pMG/ZHIV0moi2mYm8V5KdsDANmr8MdgOeIof6E4g/cAztVy0qN4DUgEA0nvJ8ueduU19UPbv25feSGAWZCnI7//pHJO93MGnmXkqOgrQMpF65jvNvfAw7Im1dKwtc+fw7uLwwEs5jhqraExcRf/1LlrP2pBGaSe3TqLEzbPp0x+3T53FuxofouPYn6cR/8vnXYNu/hyRYsXzrv20vOm38ucJ4qKU6qKYbJsJqApabZQRqOwLClF/8p87pwRDQsVSc3lBVrSavjsepcdMR/vtGuL44WlVU7PmFr96A1nQ2oHlLxT5aQXoGwleth/fHioN8hebmPPppWae+jjZSA67D5qkucmm0uLAIPl/OJqI1J62sNY4OfUkSi5a+nqoP4c+YFXmLjoqyUj2r6MLY0w1CTkGyok7SqXNIvxEqiVCULynH+bfmwLZfD3jMfFk2pWdjjWtffQ+n0UMqalo+E+Nyf30yTL09YNO7Kw73H4uCjEwZRq7x5LFSQxQFTX2a4diIiSik8HINDA0qba86M5gIqxNdbpsRqMUI1NduUOW5erVY9Fovmjgr0YuITWhBVrREqkyCoLRomdDUh06nuJMs27dG9NY9ylsYujiprsteCKIQJCiSkugEuZQkQuHPqO/kgOzoWJg2L+2kX5hD/ozUv/gjSCy9hq38C+lBdHRXfJIkqZL+jCXlyAyLhOPwgSpxLDu0ksSVm3hb9azshZaBPky8msrH2qYm8rMwN08ugerQGC5/PI/IPUwGGxeZJfuWhWvwjYmwBsHmrh4/AuIvZGEaXpCR9fgbV/MWi+i0A07Vh4CZr5fUeq7QEqk4WUKkBgYGUoPLT0lV7ZcJwtItob2JP1AqS+KU+vtJJp7uSKLlSNu+PUoVF7I0oMDdQrM7+/K7UqPzmv06DIh8/cm4pmQqKYcwthH7i8ok9vZExBodi8q1Y2HEU9HRT4nHTiNw7g/weGealKO4uAhHBo2jAOVPzm6zcsSVI+ZPRqAWI1CQmoHEg/5P9FT2WgxPlaJlhiriTFZZiDMfCIHM4EiknLyOsPkbZT1hlJ9fJLSmQtLQEhC6cCPtyzogatN2NJ70HHKTkhF/8DgRkmIptGxn9UmzzCfDkuMDpsN30d3TKEqWu/bpMrT4YXbJR2jy8gs4TZaqEX9uhsPQfvKIpTgywEk66Y+Ofy6hkzAyyHcwQy5/iv1MoRWmBYbAmpZgK0oNaRlW1BfLow3oZIxbm3eSVutJRjYPTiFZRKIGzo603NtZdiW0UpGUfyzImxp+e/BR1LCA3B0jUBUCdkN7QLw4PTgC/uM+fvBKXKNKBMQKhbF3E9rHu0taaYE3cPG9z8mrvRhFOXnw+fo9BPxnHqK37Kbg2HT6xKBecHym4kOVjZq4SLeGwpwUSWYVdS7aKJuEFarvvI8Q+vMf9Foj/RlNaJnU5/NZKutMYehyZuJbEMuUDcgCVViHCqOZipLrhDEQBCb2JIV2aECWoWKv8mGSXf+eklSPj3lVEXKOLFD17GyQdfOWNDJ6mDYftQ77ET4qglyfEaijCAgibL2a/oPm9NgQuPrBD9CxMofbzPIWm+lXQ3HpzW/QefePsr/M8FtIPhWA7Mh4WHb2g0VHX/k8+exVedRS8pkrZDVqDKs+7RHzzwG4TBwm89OvhSF+7ykiJANoGegi6fB5+C1+X+alXrqBpCPnUZCWCaOmzrB9ujs9JwKm7YOKDFHEnl0x+TMKcrufJI5tEhFt7rd8VW3mp6ZDy1D/obTKqtp9mDzWCB8GNa7DCKgBAnm3UxGx+m6wZjUYUo0MwW5IN0lQlXVWSPvVOTGJquz6utq0l1bawTwtIBgXp34liUrX2hzX5iyB84tD4PT8ACSfvETEdxDm7X0k6RQkpyHyt62SCNMCQnDp9XlwGN0HeUmpiF15CCbN3WRfggADP1uGRpOHQ7QZsWorkWwcmrw5VrpgqAQqcSEMdyBe95lKGuXcZ5VKi2mbGleaV9MZTIQ1jTj3xwjUEgTshvWAnq1lLZGm7ohRr0HVBisxWw4jfvdJ1YBMWzeD74K7S6UiI2zpRtgM7AL3d8fLcrq2DXGdSMzxuX7yXt/JFl5fvCavM0Mi5ad4i1j5L2wHdYHrqyPls3z6Yyaf9slFqq+nI+uYt2su7wuzcqTGKW/4rUoEmAirhIczGQH1RcBlSvn4lOo72pobmeNz/StcGi0pQRYZKjmM7K16ZNHJl9wRcpCbkCyfGbg6qPJKXmSQMY7tYEWYNvHcvJ034veckkWEZhi1dqfU8kX7YglT39muZHW+rgQBJsJKgOHHjAAjwAhUFwJify+HrEiVKScqntwRtFRLqPV1Kv6vWcfSVFqfKuvlJacrLxH01a/IS0yRS6PG3o0Rs2k/EvafUeXzReUI8DFMlWPDOYwAI8AIVAsCFl0ojujO48hPSZeGLNFEWqZ+TWkvr2ICVAohDGrid59AQXqWfCXsU2iDIl/sB1p2awWzVuRETy55ov0n6aSulLkufFaNel0YAcvICDACjEAdQ8Bl8jBcI+I6PmAGuS4YQN/RGs2/fvOeo2g0YSiywqJxcqgoWw9mbbxkTFJRsdHEoQiatxKxW49ItwyrXu0QvWGvDJ8mos1wqhwBdp+oHBvOYQQYAUagWhGQ7ggFRZIMH6SjAgrILZZSpdVnmYrCGrislWqZInxbBgEmwjKA8C0jwAgwAoyAZiHA+rJmzTePlhFgBBgBRqAMAkyEZQDhW0aAEWAEGAHNQoCJULPmm0fLCDACjAAjUAYBJsIygPAtI8AIMAKMgGYhwESoWfPNo2UEGAFGgBEogwATYRlA+JYRYAQYAUZAsxBgItSs+ebRMgKMACPACJRBgImwDCB8ywgwAowAI6BZCDARatZ882gZAUaAEWAEyiDARFgGEL5lBBgBRoAR0CwEnmjQ7VWrViEhIQFmZmaahXotHW16erqcj8aNG9dSCTVPrAsXLqBFixaaN/BaOuIbN25g6tSpaNSoUS2VkMV6GASeqEZ44MABxMbGPozcXKcaEIiPj8fp06eroWVu8mER2LZt28NW5XrVgMCxY8cQHR1dDS1zk08SgSeqEdrZ2aFPnz7o2bPnk8SA+76DwMmTJ5GdnY1JkyYxJrUEgeXLl/N81JK5EGKcOHECJiYmtUgiFuVxIPBENcLHMQBugxFgBBgBRoAReBQEmAgfBT2uywgwAowAI1DnEWAirPNTyANgBBgBRoAReBQEmAgfBT2uywgwAowAI1DnEWAirPNTyANgBBgBRoAReBQEnigRmpqaQk9P71Hk57qPEQFdXV326XyMeD6OpqytrR9HM9zGY0LAwsIC2traj6k1bqa2IFCvmFJtEYblYAQYAUaAEWAEahqBJ6oR1vRguT9GgBFgBBgBRqAsAkyEZRHhe0aAEWAEGAGNQoCJUKOmmwfLCDACjAAjUBYBJsKyiPA9I8AIMAKMgEYhwESoUdPNg2UEGAFGgBEoiwATYVlE+J4RYAQYAUZAoxBgItSo6ebBMgKMACPACJRFgImwLCJ8zwgwAowAI6BRCDARatR082AZAUaAEWAEyiJQ7UR49epVWFpaluo3NDQUPj4+pV5bt26VZQoKCjBz5ky4urrCz88PO3fuLFWXbx4Ngfz8fPTo0QN///13qYbWrl2L9u3bo1GjRvjwww+hDDjE81EKpmq74d9EtUH7WBoODAzEiBEjYGtri0GDBiEuLu6xtMuN1BIERIi16kp79uwpdnJyKq5fv36pLv7666/iDh06FB8/flz1SkhIkGW+/PLL4v79+xffunWrmP5zLjYzMyuOjo4uVZ9vHg6BqKio4gEDBoiQesUbN25UNXLlyhU5T4cPHy4OCAgobtmyZfFPP/0k83k+VDBV6wX/JqoV3kdqnP4YLG7Tpk3x3LlzixMTE4unTp1a/NRTTz1Sm1y5diEg/vKvlrR///5iBweH4mXLlpUjwtmzZxfPmjWrwn6dnZ2LT548qcobNWpU8TfffKO654uHR8De3r74gw8+kD/qkkT49ttvF7/11luqhtetW1fcrl07ec/zoYKlWi/4N1Gt8D5S46dOnSoWv4OioiLZTmZmZrGBgUFxeHj4I7XLlWsPAtW2NOrr64uQkBAMHDiwnO574cIFBAUFoUuXLvDy8sL8+fNlGbFsR1oLPDw8VHWaNm0KsWzE6dEROH36NL744oty0fPpBw1PT09VBwLzsLAw8HyoIKn2C/5NVDvED92B+C2I30S9evVkG0SCoD/y5W/koRvlirUKgQbVJU3ZfcGS/eTl5cn9v4ULF+LYsWOYPn06xPEmtNwg96bE8UzKJK6Dg4OVt/z5CAiIH29FSfzxQUvQqiyBeVJSEmJiYng+VKhU7wX/JqoX30dpXfw+zM3NSzWh/I2Uesg3dRaBaiPCqhDZu3evKpuWHHD06FGsX78ew4cPl//xZmVlwdDQUJbJyMgAn8mmgqtaLgQJ0nKPqm0l5uI5LV6A50MFTbVd8G+i2qB95IbF70D8Jkom8XuxsbEp+Yiv6zAC1bY0WhkmYrlt+fLlpb5YxsbGoP0rmJiYyFdERISqurgWFqScqg8BMmhCRZjzfFQf5iVb5t9ESTRq33XZ34ewpCYDPri4uNQ+YVmih0KgxolQnO5MFnIQy6IiRUZGQpjujx49Wt6PHTsWX3/9NXJycnDp0iXs2rVLmivLTH6rFgQE5qtXr4bYK0xNTcWiRYvwzDPP8HxUC9rlG+XfRHlMatMT4W50+/Zt6XIkVkjE76NZs2Zyn7A2ycmyPAIC1W23I0z2y7pPnD9/vrh3797F7u7uxbQEWiws5goLC6UowlVCWCySv460Ol26dGl1i6hx7Xfs2LGU+4QA4M0335RzISx9x4wZUyxMxkXi+ZAwVPsb/yaqHeJH6mD79u3FtE9Y7OjoKN2LhMsRJ/VBoJ4YyiPw6CNVTU5OhpGRUTkrRtEo+RVKR3wi0UfqgyvfPwJi30N8HcSclE08H2URqZ57/k1UD66Po1Vyn5BGZFZWVo+jOW6jFiHwRImwFuHAojACjAAjwAhoKAKsbmnoxPOwGQFGgBFgBBQIMBHyN4ERYAQYAUZAoxFgItTo6efBMwKMACPACDAR8neAEWAEGAFGQKMRYCLU6OnnwTMCjAAjwAgwEfJ3gBFgBBgBRkCjEWAi1Ojp58EzAowAI8AIMBHyd4ARYAQYAUZAoxFgItTo6efBMwKMACPACDAR8neAEWAEGAFGQKMRYCLU6OnnwTMCjAAjwAgwEfJ3gBFgBBgBRkCjEWAi1Ojp58EzAowAI8AIMBHyd4ARYAQYAUZAoxFgItTo6efBMwKMACPACDAR8neAEWAEGAFGQKMR+D80Jl+5wXtEkwAAAABJRU5ErkJggg==" /><!-- --></p>
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<div class="sourceCode" id="cb39"><pre class="sourceCode r"><code class="sourceCode r"><span id="cb39-1"><a href="#cb39-1" tabindex="-1"></a><span class="co"># horiz mirror version</span></span>
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<span id="cb39-2"><a href="#cb39-2" tabindex="-1"></a><span class="fu">par</span>(<span class="at">mar =</span> <span class="fu">c</span>(<span class="dv">3</span>,<span class="dv">7</span>,<span class="dv">1</span>,<span class="dv">1</span>))</span>
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<span id="cb39-3"><a href="#cb39-3" tabindex="-1"></a><span class="fu">plot_horiz.dendrogram</span>(d, <span class="at">side =</span> <span class="cn">TRUE</span>)</span></code></pre></div>
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<p><img role="img" 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" 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