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		<title>pandas fillna()の使い方｜欠損値を0・平均値・中央値・最頻値で埋める方法を初心者向けに解説</title>
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		<pubDate>Sat, 11 Apr 2026 16:24:56 +0000</pubDate>
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<p>&lt;p&gt;The post <a rel="nofollow" href="https://pythondatalab.com/pandas-fillna/">pandas fillna()の使い方｜欠損値を0・平均値・中央値・最頻値で埋める方法を初心者向けに解説</a> first appeared on <a rel="nofollow" href="https://pythondatalab.com">Python Data Lab（Pythonデータラボ）</a>.&lt;/p&gt;</p>
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<p>Pandasでデータを扱っていると、空欄や <code>NaN</code> が含まれていて、「<code>fillna()</code> はどう使うのか」「とりあえず <code>0</code> で埋めてよいのか」「<code>dropna()</code> との違いは何か」と迷いやすいです。 特に、データ分析では欠損値がよく出てくるため、ここがあいまいなままだと集計や可視化の前処理でつまずきやすくなります。</p>
<p><code>fillna()</code> は、DataFrameを整えるうえでとても基本的な機能です。 ただし、欠損値は何でも同じように埋めればよいわけではなく、列の意味に応じて埋め方を考えることが大切です。</p>
<p>この記事では、<code>pandas fillna()</code> の基本的な使い方、列ごとの補完、平均値で埋める方法、<code>dropna()</code> や <code>isnull()</code> との違い、初心者が迷いやすい注意点までやさしく整理します。</p>
<p>読み終えるころには、<code>fillna()</code> を単なる文法としてではなく、<strong>同じサンプルデータの各列を見ながら、前処理の中でどう使えばよいか</strong>を判断しやすくなります。</p>
<h2><span id="toc1">この記事でわかること</span></h2>
<ul><li><code>fillna()</code> が何をする機能なのか</li><li>欠損値を <code>0</code>、文字列、平均値などで埋める基本的な方法</li><li>列ごとに異なる値で補完する書き方</li><li><code>isnull()</code> や <code>dropna()</code> との違い</li><li>初心者が迷いやすい注意点と、まず覚えるべき使い方</li></ul>
<h2><span id="toc2">fillna()とは？まず押さえたい基本</span></h2>
<p><code>fillna()</code> は、<strong>欠損値（NaN）を別の値で埋めるための機能</strong>です。</p>
<p>PandasでCSVを読み込んだり、DataFrameを確認したりすると、次のようなデータに出会うことがあります。</p>
<ul><li><code>売上</code> が一部空欄になっている</li><li><code>カテゴリ</code> や <code>担当者</code> が未入力になっている</li><li><code>在庫数</code> や <code>来店者数</code> に欠損が含まれている</li></ul>
<p>この記事では、<strong>1つの実務寄りサンプルデータ</strong>を使いながら、列の意味に応じて <code>fillna()</code> をどう使い分けるかを順に確認します。</p>
<h2><span id="toc3">fillna()の基本的な使い方</span></h2>
<h3><span id="toc4">DataFrame全体の欠損値を同じ値で埋める</span></h3>
<p>最初は、<code>sales_df</code> 全体に対して <code>fillna(0)</code> を使う基本形を確認します。 実務ではこのまま使うと不自然になることもありますが、<strong><code>fillna()</code> の動きをつかむ入口</strong>としては分かりやすい例です。</p>
<pre class="language-python" data-prismjs-copy><code class="language-python">import pandas as pd
import numpy as np

sales_df = pd.DataFrame({
    &quot;日付&quot;: pd.to_datetime([
        &quot;2024-04-01&quot;, &quot;2024-04-02&quot;, &quot;2024-04-03&quot;, &quot;2024-04-04&quot;, &quot;2024-04-05&quot;
    ]),
    &quot;商品&quot;: [&quot;りんご&quot;, &quot;みかん&quot;, &quot;バナナ&quot;, &quot;ぶどう&quot;, &quot;もも&quot;],
    &quot;カテゴリ&quot;: [&quot;果物&quot;, np.nan, &quot;果物&quot;, np.nan, &quot;果物&quot;],
    &quot;売上&quot;: [1200, np.nan, 950, np.nan, 1400],
    &quot;在庫数&quot;: [10, np.nan, 5, np.nan, 8],
    &quot;担当者&quot;: [&quot;田中&quot;, np.nan, &quot;佐藤&quot;, np.nan, &quot;鈴木&quot;],
    &quot;来店者数&quot;: [25, np.nan, np.nan, 30, 28]
})

print(sales_df)
</code></pre>
<div class="table-scroll"><figure class="wp-block-table"><table class="wp-block-table"><thead><tr><th></th><th>日付</th><th>商品</th><th>カテゴリ</th><th>売上</th><th>在庫数</th><th>担当者</th><th>来店者数</th></tr></thead><tbody><tr><td>0</td><td>2024-04-01</td><td>りんご</td><td>果物</td><td>1200.0</td><td>10.0</td><td>田中</td><td>25.0</td></tr><tr><td>1</td><td>2024-04-02</td><td>みかん</td><td></td><td></td><td></td><td></td><td></td></tr><tr><td>2</td><td>2024-04-03</td><td>バナナ</td><td>果物</td><td>950.0</td><td>5.0</td><td>佐藤</td><td></td></tr><tr><td>3</td><td>2024-04-04</td><td>ぶどう</td><td></td><td></td><td></td><td></td><td>30.0</td></tr><tr><td>4</td><td>2024-04-05</td><td>もも</td><td>果物</td><td>1400.0</td><td>8.0</td><td>鈴木</td><td>28.0</td></tr></tbody></table></figure></div>
<p>実行すると、ECや小売の売上管理をイメージした <strong>1つの実務寄りサンプルデータ</strong> が表示されます。</p>
<p>この記事では、この <code>sales_df</code> を使って、</p>
<ul><li><code>売上</code> の欠損をどう埋めるか</li><li><code>カテゴリ</code> や <code>担当者</code> のような文字列列をどう扱うか</li><li><code>在庫数</code> や <code>来店者数</code> のような数値列をどう考えるか</li></ul>
<p>を順に確認していきます。</p>
<pre class="language-python" data-prismjs-copy><code class="language-python">df = sales_df.copy()
df_filled = df.fillna(0)
print(df_filled)
</code></pre>
<div class="table-scroll"><figure class="wp-block-table"><table class="wp-block-table"><thead><tr><th></th><th>日付</th><th>商品</th><th>カテゴリ</th><th>売上</th><th>在庫数</th><th>担当者</th><th>来店者数</th></tr></thead><tbody><tr><td>0</td><td>2024-04-01</td><td>りんご</td><td>果物</td><td>1200.0</td><td>10.0</td><td>田中</td><td>25.0</td></tr><tr><td>1</td><td>2024-04-02</td><td>みかん</td><td>0</td><td>0.0</td><td>0.0</td><td>0</td><td>0.0</td></tr><tr><td>2</td><td>2024-04-03</td><td>バナナ</td><td>果物</td><td>950.0</td><td>5.0</td><td>佐藤</td><td>0.0</td></tr><tr><td>3</td><td>2024-04-04</td><td>ぶどう</td><td>0</td><td>0.0</td><td>0.0</td><td>0</td><td>30.0</td></tr><tr><td>4</td><td>2024-04-05</td><td>もも</td><td>果物</td><td>1400.0</td><td>8.0</td><td>鈴木</td><td>28.0</td></tr></tbody></table></figure></div>
<p>実行すると、<code>sales_df</code> の欠損値がすべて <code>0</code> に置き換わります。 このように <code>fillna(0)</code> と書くと、欠損値をまとめて同じ値で埋められます。</p>
<p>ただし、今回のサンプルでは <code>カテゴリ</code> や <code>担当者</code> のような文字列列まで <code>0</code> になるため、<strong>実務ではこのまま一括で使わないことも多い</strong>です。 そのため次のセルからは、同じ <code>sales_df</code> の列ごとに埋め方を変える例を見ていきます。</p>
<pre class="language-python" data-prismjs-copy><code class="language-python"># 基本形
# df.fillna(値)
</code></pre>
<p>※ 上の1行は「書き方の形」を示したものです。実行する場合は <code>値</code> を具体的な数値や文字列に置き換えてください。</p>
<p>まずはこの形を覚えると、欠損値処理の入口をつかみやすいです。 ただし、どの列にも同じ値が入るため、実際には列ごとに埋め方を変えることも多いです。</p>
<h3><span id="toc5">特定の列だけを埋める</span></h3>
<p>ここでは、同じ <code>sales_df</code> の中でも <strong><code>売上</code> 列だけ</strong> を対象にして欠損値を埋めます。 実務でも、まず必要な列だけを個別に処理する形はとてもよく使います。</p>
<pre class="language-python" data-prismjs-copy><code class="language-python">df = sales_df.copy()
df[&quot;売上&quot;] = df[&quot;売上&quot;].fillna(0)
print(df)
</code></pre>
<div class="table-scroll"><figure class="wp-block-table"><table class="wp-block-table"><thead><tr><th></th><th>日付</th><th>商品</th><th>カテゴリ</th><th>売上</th><th>在庫数</th><th>担当者</th><th>来店者数</th></tr></thead><tbody><tr><td>0</td><td>2024-04-01</td><td>りんご</td><td>果物</td><td>1200.0</td><td>10.0</td><td>田中</td><td>25.0</td></tr><tr><td>1</td><td>2024-04-02</td><td>みかん</td><td></td><td>0.0</td><td></td><td></td><td></td></tr><tr><td>2</td><td>2024-04-03</td><td>バナナ</td><td>果物</td><td>950.0</td><td>5.0</td><td>佐藤</td><td></td></tr><tr><td>3</td><td>2024-04-04</td><td>ぶどう</td><td></td><td>0.0</td><td></td><td></td><td>30.0</td></tr><tr><td>4</td><td>2024-04-05</td><td>もも</td><td>果物</td><td>1400.0</td><td>8.0</td><td>鈴木</td><td>28.0</td></tr></tbody></table></figure></div>
<p>実行すると、<code>売上</code> 列の <code>NaN</code> だけが <code>0</code> に変わります。 他の列には影響しません。</p>
<p>この書き方はとてもよく使います。 特定の列だけを安全に処理したいときに便利です。</p>
<h2><span id="toc6">よく使うパターン・実例</span></h2>
<h3><span id="toc7">文字列列の欠損を「不明」で埋める</span></h3>
<p>ここでは、<code>sales_df</code> の <code>カテゴリ</code> 列を使って、文字列列の欠損を <code>&quot;不明&quot;</code> で補完します。</p>
<pre class="language-python" data-prismjs-copy><code class="language-python">df = sales_df.copy()
df[&quot;カテゴリ&quot;] = df[&quot;カテゴリ&quot;].fillna(&quot;不明&quot;)
print(df)
</code></pre>
<div class="table-scroll"><figure class="wp-block-table"><table class="wp-block-table"><thead><tr><th></th><th>日付</th><th>商品</th><th>カテゴリ</th><th>売上</th><th>在庫数</th><th>担当者</th><th>来店者数</th></tr></thead><tbody><tr><td>0</td><td>2024-04-01</td><td>りんご</td><td>果物</td><td>1200.0</td><td>10.0</td><td>田中</td><td>25.0</td></tr><tr><td>1</td><td>2024-04-02</td><td>みかん</td><td>不明</td><td></td><td></td><td></td><td></td></tr><tr><td>2</td><td>2024-04-03</td><td>バナナ</td><td>果物</td><td>950.0</td><td>5.0</td><td>佐藤</td><td></td></tr><tr><td>3</td><td>2024-04-04</td><td>ぶどう</td><td>不明</td><td></td><td></td><td></td><td>30.0</td></tr><tr><td>4</td><td>2024-04-05</td><td>もも</td><td>果物</td><td>1400.0</td><td>8.0</td><td>鈴木</td><td>28.0</td></tr></tbody></table></figure></div>
<p>実行すると、<code>カテゴリ</code> 列の欠損値が <code>&quot;不明&quot;</code> に変わります。</p>
<p>このような補完は、集計前の確認や <code>value_counts()</code> でカテゴリ別件数を見たいときに便利です。 空欄のままだと見落としやすい情報も、<code>&quot;不明&quot;</code> として残すと把握しやすくなります。</p>
<h3><span id="toc8">数値列の欠損を平均値で埋める</span></h3>
<p>ここでは、<code>sales_df</code> の <code>売上</code> 列を使って、数値列の欠損を平均値で埋める流れを確認します。 <code>0</code> を入れると意味が変わりそうな数値列で、まず検討しやすい方法です。</p>
<pre class="language-python" data-prismjs-copy><code class="language-python">df = sales_df.copy()

mean_sales = df[&quot;売上&quot;].mean()
df[&quot;売上&quot;] = df[&quot;売上&quot;].fillna(mean_sales)

print(&quot;売上の平均値:&quot;, mean_sales)
print(df[[&quot;日付&quot;, &quot;商品&quot;, &quot;売上&quot;]])
</code></pre>
<p>売上の平均値: 1183.3333333333333</p>
<div class="table-scroll">
  <figure class="wp-block-table">
    <table class="wp-block-table">
      <thead>
        <tr>
          <th></th>
          <th>日付</th>
          <th>商品</th>
          <th>売上</th>
        </tr>
      </thead>
      <tbody>
        <tr>
          <th>0</th>
          <td>2024-04-01</td>
          <td>りんご</td>
          <td>1200.000000</td>
        </tr>
        <tr>
          <th>1</th>
          <td>2024-04-02</td>
          <td>みかん</td>
          <td>1183.333333</td>
        </tr>
        <tr>
          <th>2</th>
          <td>2024-04-03</td>
          <td>バナナ</td>
          <td>950.000000</td>
        </tr>
        <tr>
          <th>3</th>
          <td>2024-04-04</td>
          <td>ぶどう</td>
          <td>1183.333333</td>
        </tr>
        <tr>
          <th>4</th>
          <td>2024-04-05</td>
          <td>もも</td>
          <td>1400.000000</td>
        </tr>
      </tbody>
    </table>
  </figure>
</div><p>実行すると、<code>売上</code> が欠損していた行に <code>売上</code> 列の平均値が入ります。</p>
<p>今回のサンプルでは、<code>売上</code> は「本当に0円だった」のか「未入力なのか」で意味が変わります。 そのため、単純に <code>0</code> で埋めるより、まず平均値補完を考える例として見ると理解しやすいです。</p>
<h3><span id="toc9">平均値以外の補完方法にも触れておく</span></h3>
<p>数値列の補完では、平均値だけでなく <strong>中央値</strong> や <strong>最頻値</strong> を使うこともあります。 どれが適しているかは、列の性質によって変わります。</p>
<ul><li><strong>平均値</strong>: 全体のバランスを見て補完したいとき</li><li><strong>中央値</strong>: 外れ値の影響を受けにくくしたいとき</li><li><strong>最頻値</strong>: もっともよく出る値で補完したいとき</li></ul>
<p>ここでも、同じ <code>sales_df</code> の <code>売上</code> 列を使って確認します。</p>
<pre class="language-python" data-prismjs-copy><code class="language-python">df = sales_df.copy()

mean_sales = df[&quot;売上&quot;].mean()
median_sales = df[&quot;売上&quot;].median()
mode_sales = df[&quot;売上&quot;].mode()

print(&quot;平均値:&quot;, mean_sales)
print(&quot;中央値:&quot;, median_sales)
print(&quot;最頻値の候補:&quot;, mode_sales.tolist())
</code></pre>
<pre class="output-block"><code>平均値: 1183.3333333333333
中央値: 1200.0
最頻値の候補: [950.0, 1200.0, 1400.0]</code></pre>
<p>今回のサンプルでは <code>売上</code> の値がすべて1回ずつしか登場しないため、<code>mode()</code> は複数の候補を返します。 つまり、このデータでは「最頻値が1つに決まっている」とは言いにくい状態です。</p>
<p>ただし、実データでは同じ価格帯や同じ売上額が繰り返し現れることもあり、そのような場合は <strong>最頻値</strong> で補完する考え方が役立つことがあります。</p>
<p>そのため、</p>
<ul><li>極端に大きい売上が一部にある → <strong>中央値</strong> を検討しやすい</li><li>決まった価格帯が多い → <strong>最頻値</strong> を検討しやすい</li></ul>
<p>という考え方も覚えておくと、補完方法を選びやすくなります。 初心者のうちは、まず平均値を押さえたうえで、「中央値や最頻値もある」と知っておくだけでも十分です。</p>
<h3><span id="toc10">列ごとに異なる値で埋める</span></h3>
<p>ここでは、同じ <code>sales_df</code> の中で <strong>列の意味に応じて埋め方を変える</strong> 例を見ます。 実務ではこの形がいちばん自然になることが多いです。</p>
<pre class="language-python" data-prismjs-copy><code class="language-python">df = sales_df.copy()

mean_sales = df[&quot;売上&quot;].mean()
fill_values = {
    &quot;売上&quot;: mean_sales,
    &quot;カテゴリ&quot;: &quot;不明&quot;,
    &quot;在庫数&quot;: 0,
    &quot;担当者&quot;: &quot;未設定&quot;
}

df = df.fillna(fill_values)
print(df)
</code></pre>
<div class="table-scroll"><figure class="wp-block-table"><table class="wp-block-table"><thead><tr><th></th><th>日付</th><th>商品</th><th>カテゴリ</th><th>売上</th><th>在庫数</th><th>担当者</th><th>来店者数</th></tr></thead><tbody><tr><td>0</td><td>2024-04-01</td><td>りんご</td><td>果物</td><td>1200.0</td><td>10.0</td><td>田中</td><td>25.0</td></tr><tr><td>1</td><td>2024-04-02</td><td>みかん</td><td>不明</td><td>1183.333333</td><td>0.0</td><td>未設定</td><td></td></tr><tr><td>2</td><td>2024-04-03</td><td>バナナ</td><td>果物</td><td>950.0</td><td>5.0</td><td>佐藤</td><td></td></tr><tr><td>3</td><td>2024-04-04</td><td>ぶどう</td><td>不明</td><td>1183.333333</td><td>0.0</td><td>未設定</td><td>30.0</td></tr><tr><td>4</td><td>2024-04-05</td><td>もも</td><td>果物</td><td>1400.0</td><td>8.0</td><td>鈴木</td><td>28.0</td></tr></tbody></table></figure></div>
<p>実行すると、同じ <code>sales_df</code> でも列ごとに違うルールで補完されます。</p>
<ul><li><code>売上</code> は平均値</li><li><code>カテゴリ</code> は <code>&quot;不明&quot;</code></li><li><code>在庫数</code> は <code>0</code></li><li><code>担当者</code> は <code>&quot;未設定&quot;</code></li></ul>
<p>このように、<strong>列の意味に応じて補完ルールを分ける</strong> のが、実務ではとても大切です。</p>
<h3><span id="toc11">前の値で埋める</span></h3>
<p>ここでは、日付順に並んだ <code>sales_df</code> の <strong>来店者数</strong> を使って、前の行の値で埋める <code>ffill()</code> を確認します。 <code>ffill()</code> は、時系列や連続観測データで「直前の値を引き継ぐ」考え方を試したいときに使いやすい方法です。</p>
<p>今回の <code>sales_df</code> では、来店者数のように日ごとに連続して観測される列のほうが、<code>ffill()</code> の考え方を自然に理解しやすいです。</p>
<pre class="language-python" data-prismjs-copy><code class="language-python">df = sales_df.copy().sort_values(&quot;日付&quot;)
df[&quot;来店者数&quot;] = df[&quot;来店者数&quot;].ffill()
print(df[[&quot;日付&quot;, &quot;商品&quot;, &quot;来店者数&quot;]])
</code></pre>
<div class="table-scroll"><figure class="wp-block-table"><table class="wp-block-table"><thead><tr><th></th><th>日付</th><th>商品</th><th>来店者数</th></tr></thead><tbody><tr><td>0</td><td>2024-04-01</td><td>りんご</td><td>25.0</td></tr><tr><td>1</td><td>2024-04-02</td><td>みかん</td><td>25.0</td></tr><tr><td>2</td><td>2024-04-03</td><td>バナナ</td><td>25.0</td></tr><tr><td>3</td><td>2024-04-04</td><td>ぶどう</td><td>30.0</td></tr><tr><td>4</td><td>2024-04-05</td><td>もも</td><td>28.0</td></tr></tbody></table></figure></div>
<h3><span id="toc12">迷ったら「列の意味」を先に考える</span></h3>
<p><code>fillna()</code> の使い方で大切なのは、文法よりも<strong>その列が何を表しているか</strong>です。</p>
<ul><li>数値列なら、0でよいのか、平均値がよいのか</li><li>文字列列なら、空欄のままにするのか、<code>&quot;不明&quot;</code> にするのか</li><li>時系列なら、前後の値で補えるのか</li></ul>
<p>この考え方があると、<code>fillna()</code> をただの暗記ではなく、意味を考えて使いやすくなります。</p>
<p>特に機械学習のモデル構築を行う場合、単純な <code>0</code> 埋めは特徴量の分布を歪めたり、モデルに誤った情報を与えたりする可能性があります。たとえば、欠損値が特定のパターンを持つ場合、それを <code>0</code> で埋めるとそのパターンが失われることがあります。 そのため、平均値、中央値、最頻値での補完のほか、欠損値を専用のカテゴリとして扱う、あるいはより高度な補完手法（例: 近傍法、回帰分析）なども検討されることがあります。 まずは <code>fillna()</code> の基本を押さえたうえで、<strong>目的に応じて最適な補完方法を選択する</strong>ことが重要です。</p>
<p>実行すると、<code>来店者数</code> の欠損が直前の行の値で埋まります。 このような処理は、時系列や連続データで「前の値を引き継ぐ」考え方を試したいときに便利です。</p>
<p>ただし、どの列でも前の値で埋めてよいわけではありません。 今回の <code>カテゴリ</code> や <code>担当者</code> のような列では、前の値をそのまま入れると意味が変わることがありますし、<code>売上</code> でも状況によっては不自然になることがあります。</p>
<p>そのため、<code>ffill()</code> は <strong>連続して変化する観測値かどうか</strong> を意識して使うことが大切です。</p>
<h2><span id="toc13">似た機能との違い・使い分け</span></h2>
<h3><span id="toc14">isnull()で欠損の場所を確認する</span></h3>
<p><code>fillna()</code> を使う前に、まず <strong>どこに欠損があるのか</strong> を確認したいことがあります。 ここでも同じ <code>sales_df</code> を使って、欠損位置をチェックします。</p>
<pre class="language-python" data-prismjs-copy><code class="language-python">df = sales_df.copy()
print(df.isnull())
</code></pre>
<div class="table-scroll"><figure class="wp-block-table"><table class="wp-block-table"><thead><tr><th></th><th>日付</th><th>商品</th><th>カテゴリ</th><th>売上</th><th>在庫数</th><th>担当者</th><th>来店者数</th></tr></thead><tbody><tr><td>0</td><td>False</td><td>False</td><td>False</td><td>False</td><td>False</td><td>False</td><td>False</td></tr><tr><td>1</td><td>False</td><td>False</td><td>True</td><td>True</td><td>True</td><td>True</td><td>True</td></tr><tr><td>2</td><td>False</td><td>False</td><td>False</td><td>False</td><td>False</td><td>False</td><td>True</td></tr><tr><td>3</td><td>False</td><td>False</td><td>True</td><td>True</td><td>True</td><td>True</td><td>False</td></tr><tr><td>4</td><td>False</td><td>False</td><td>False</td><td>False</td><td>False</td><td>False</td><td>False</td></tr></tbody></table></figure></div>
<p>実行すると、<code>sales_df</code> のどこが欠損しているかが <code>True</code> / <code>False</code> で表示されます。 たとえば <code>売上</code>、<code>カテゴリ</code>、<code>在庫数</code>、<code>担当者</code> に欠損があることが一目で分かります。</p>
<p><code>fillna()</code> は「埋める」ための機能ですが、その前に <strong>どこが欠けているのかを確認する習慣</strong> をつけると、補完ミスを減らしやすくなります。</p>
<h3><span id="toc15">dropna()との違い</span></h3>
<p>ここでは、同じ <code>sales_df</code> に対して <code>dropna()</code> を使い、<code>fillna()</code> との考え方の違いを確認します。 <code>fillna()</code> は埋める、<code>dropna()</code> は削除する、という違いがあります。</p>
<pre class="language-python" data-prismjs-copy><code class="language-python">df = sales_df.copy()
print(df.dropna())
</code></pre>
<div class="table-scroll"><figure class="wp-block-table"><table class="wp-block-table"><thead><tr><th></th><th>日付</th><th>商品</th><th>カテゴリ</th><th>売上</th><th>在庫数</th><th>担当者</th><th>来店者数</th></tr></thead><tbody><tr><td>0</td><td>2024-04-01</td><td>りんご</td><td>果物</td><td>1200.0</td><td>10.0</td><td>田中</td><td>25.0</td></tr><tr><td>4</td><td>2024-04-05</td><td>もも</td><td>果物</td><td>1400.0</td><td>8.0</td><td>鈴木</td><td>28.0</td></tr></tbody></table></figure></div>
<p>実行すると、欠損を含む行が削除されます。 今回の <code>sales_df</code> では、欠損のない行だけが残るので、データ件数がかなり減ることが分かります。</p>
<p>このように、</p>
<ul><li>データを残したいなら <code>fillna()</code></li><li>欠損のある行を使わないなら <code>dropna()</code></li></ul>
<p>という考え方で使い分けると分かりやすいです。</p>
<h2><span id="toc16">とりあえず0埋めでよいのか？埋め方の考え方</span></h2>
<p>ここでは、同じ <code>sales_df</code> の列を例にしながら、「どの列に0埋めが向くのか」を整理します。</p>
<h3><span id="toc17">0埋めが向いているケース</span></h3>
<p>たとえば今回のサンプルでは、<code>在庫数</code> の欠損を「入荷前で未登録」「欠品として扱う」などの前提で <code>0</code> にするケースは考えられます。 また、集計上いったん <code>0</code> と置いたほうが扱いやすい列もあります。</p>
<p>ただし、これは <strong>列の意味が0と矛盾しない場合だけ</strong> です。</p>
<h3><span id="toc18">0埋めが不自然になりやすいケース</span></h3>
<p>今回の <code>sales_df</code> でいうと、<code>カテゴリ</code> や <code>担当者</code> は文字列列なので <code>0</code> で埋めるのは不自然です。 また、<code>売上</code> も「未入力」なのか「本当に0円」なのかで意味が大きく変わります。</p>
<p>このような列に対して機械的に <code>0</code> を入れると、後で集計や解釈を誤りやすくなります。</p>
<h3><span id="toc19">迷ったら「列の意味」を先に考える</span></h3>
<p>今回のサンプルでも、</p>
<ul><li><code>売上</code> → 平均値や中央値を検討する</li><li><code>カテゴリ</code> → <code>&quot;不明&quot;</code> のような文字列で補完する</li><li><code>担当者</code> → <code>&quot;未設定&quot;</code> などで補完する</li><li><code>在庫数</code> → 前提によって <code>0</code> も候補になる</li></ul>
<p>というように、<strong>列ごとに自然な埋め方は変わります</strong>。</p>
<p><code>fillna()</code> で大切なのは、「何で埋めるか」だけでなく、<strong>その列が何を表しているか</strong> を先に考えることです。</p>
<h2><span id="toc20">エラーや注意点・初心者が迷いやすいポイント</span></h2>
<h3><span id="toc21">fillna()の結果を代入しないと元のDataFrameが変わらないことがある</span></h3>
<p>ここでも同じ <code>sales_df</code> を使って、「<code>fillna()</code> を書いただけでは元データが変わらない」ケースを確認します。</p>
<pre class="language-python" data-prismjs-copy><code class="language-python">df = sales_df.copy()
df.fillna(0)
print(df)
</code></pre>
<div class="table-scroll"><figure class="wp-block-table"><table class="wp-block-table"><thead><tr><th></th><th>日付</th><th>商品</th><th>カテゴリ</th><th>売上</th><th>在庫数</th><th>担当者</th><th>来店者数</th></tr></thead><tbody><tr><td>0</td><td>2024-04-01</td><td>りんご</td><td>果物</td><td>1200.0</td><td>10.0</td><td>田中</td><td>25.0</td></tr><tr><td>1</td><td>2024-04-02</td><td>みかん</td><td></td><td></td><td></td><td></td><td></td></tr><tr><td>2</td><td>2024-04-03</td><td>バナナ</td><td>果物</td><td>950.0</td><td>5.0</td><td>佐藤</td><td></td></tr><tr><td>3</td><td>2024-04-04</td><td>ぶどう</td><td></td><td></td><td></td><td></td><td>30.0</td></tr><tr><td>4</td><td>2024-04-05</td><td>もも</td><td>果物</td><td>1400.0</td><td>8.0</td><td>鈴木</td><td>28.0</td></tr></tbody></table></figure></div>
<p>この場合、<code>fillna()</code> の結果を受け取っていないためです。 <code>売上</code> や <code>カテゴリ</code> などの欠損は、元の <code>df</code> にそのまま残ります。</p>
<pre class="language-python" data-prismjs-copy><code class="language-python">df = sales_df.copy()
df = df.fillna(0)
print(df)
</code></pre>
<div class="table-scroll"><figure class="wp-block-table"><table class="wp-block-table"><thead><tr><th></th><th>日付</th><th>商品</th><th>カテゴリ</th><th>売上</th><th>在庫数</th><th>担当者</th><th>来店者数</th></tr></thead><tbody><tr><td>0</td><td>2024-04-01</td><td>りんご</td><td>果物</td><td>1200.0</td><td>10.0</td><td>田中</td><td>25.0</td></tr><tr><td>1</td><td>2024-04-02</td><td>みかん</td><td>0</td><td>0.0</td><td>0.0</td><td>0</td><td>0.0</td></tr><tr><td>2</td><td>2024-04-03</td><td>バナナ</td><td>果物</td><td>950.0</td><td>5.0</td><td>佐藤</td><td>0.0</td></tr><tr><td>3</td><td>2024-04-04</td><td>ぶどう</td><td>0</td><td>0.0</td><td>0.0</td><td>0</td><td>30.0</td></tr><tr><td>4</td><td>2024-04-05</td><td>もも</td><td>果物</td><td>1400.0</td><td>8.0</td><td>鈴木</td><td>28.0</td></tr></tbody></table></figure></div>
<p>DataFrame全体をまとめて更新したいときは、このように再代入します。 ただし、今回のサンプルのように文字列列と数値列が混ざっている場合は、一括 <code>0</code> 埋めが不自然になる点には注意が必要です。</p>
<p>または列単位で代入します。</p>
<pre class="language-python" data-prismjs-copy><code class="language-python">df = sales_df.copy()
df[&quot;売上&quot;] = df[&quot;売上&quot;].fillna(0)
print(df)
</code></pre>
<div class="table-scroll"><figure class="wp-block-table"><table class="wp-block-table"><thead><tr><th></th><th>日付</th><th>商品</th><th>カテゴリ</th><th>売上</th><th>在庫数</th><th>担当者</th><th>来店者数</th></tr></thead><tbody><tr><td>0</td><td>2024-04-01</td><td>りんご</td><td>果物</td><td>1200.0</td><td>10.0</td><td>田中</td><td>25.0</td></tr><tr><td>1</td><td>2024-04-02</td><td>みかん</td><td></td><td>0.0</td><td></td><td></td><td></td></tr><tr><td>2</td><td>2024-04-03</td><td>バナナ</td><td>果物</td><td>950.0</td><td>5.0</td><td>佐藤</td><td></td></tr><tr><td>3</td><td>2024-04-04</td><td>ぶどう</td><td></td><td>0.0</td><td></td><td></td><td>30.0</td></tr><tr><td>4</td><td>2024-04-05</td><td>もも</td><td>果物</td><td>1400.0</td><td>8.0</td><td>鈴木</td><td>28.0</td></tr></tbody></table></figure></div>
<h3><span id="toc22">列の型を確認してから補完する</span></h3>
<p>同じ <code>sales_df</code> でも、<code>売上</code> や <code>在庫数</code> は数値列、<code>カテゴリ</code> や <code>担当者</code> は文字列列です。 そのため、補完前に型を確認しておくと「どの列にどの値を入れるか」を判断しやすくなります。</p>
<pre class="language-python" data-prismjs-copy><code class="language-python">df = sales_df.copy()
df.info()
</code></pre>
<pre class="output-block"><code>&lt;class &#x27;pandas.core.frame.DataFrame&#x27;&gt;
RangeIndex: 5 entries, 0 to 4
Data columns (total 7 columns):
 #   Column  Non-Null Count  Dtype         
---  ------  --------------  -----         
 0   日付      5 non-null      datetime64[ns]
 1   商品      5 non-null      object        
 2   カテゴリ    3 non-null      object        
 3   売上      3 non-null      float64       
 4   在庫数     3 non-null      float64       
 5   担当者     3 non-null      object        
 6   来店者数    3 non-null      float64       
dtypes: datetime64[ns](1), float64(3), object(3)
memory usage: 412.0+ bytes</code></pre>
<p>実行すると、各列のデータ型や欠損の有無が確認できます。 <code>fillna()</code> は便利ですが、<strong>列の型と意味を見ながら使う</strong> ことが大切です。</p>
<h3><span id="toc23">DataFrame全体を一括で埋めると不自然になることがある</span></h3>
<p>今回の <code>sales_df</code> のように数値列と文字列列が混在しているDataFrameでは、<code>fillna(0)</code> を全体にかけると説明上は分かりやすくても、実務では不自然になることがあります。 そのため、最終的には <strong>列ごとに埋め方を決める</strong> 形を基本に考えると安全です。</p>
<h3><span id="toc24">大規模データでは処理時間やメモリ使用量も意識する</span></h3>
<p>ここまでのサンプルでは行数が少ないため、<code>fillna()</code> の実行速度やメモリ使用量はほとんど気になりません。 ただし、実務で件数が非常に多いDataFrameを扱う場合は、<strong>処理時間やメモリ使用量も意識することがある</strong> という点は知っておくと安心です。</p>
<p>そのときに <code>inplace=True</code> を使えば常に高速・省メモリになる、と考えたくなるかもしれません。 しかし、<strong><code>inplace=True</code> を使えば必ず性能がよくなるとは限りません。</strong> 実際には、コードの分かりやすさや処理の追いやすさを優先して、<code>df = df.fillna(...)</code> のような再代入の形が選ばれることも多いです。</p>
<p>初心者のうちは、まずは <strong>読みやすくて意図が分かりやすい書き方</strong> を優先すれば十分です。 本当にパフォーマンスが問題になる場面では、実際のデータ件数で処理時間を測りながら判断するとよいでしょう。</p>
<h2><span id="toc25">初心者がまず覚えるべきfillna()の使い方</span></h2>
<p>ここでは、今回の <code>sales_df</code> を前提に、まず覚えておきたい3つの形を整理します。</p>
<h3><span id="toc26">特定の列に対して使う</span></h3>
<p>まずは、<code>売上</code> のような1列だけに対して <code>fillna()</code> を使う形です。 初心者のうちは、この形が最も安全で分かりやすいです。</p>
<pre class="language-python" data-prismjs-copy><code class="language-python">df = sales_df.copy()
df[&quot;売上&quot;] = df[&quot;売上&quot;].fillna(0)
print(df[[&quot;商品&quot;, &quot;売上&quot;]])
</code></pre>
<div class="table-scroll"><figure class="wp-block-table"><table class="wp-block-table"><thead><tr><th></th><th>商品</th><th>売上</th></tr></thead><tbody><tr><td>0</td><td>りんご</td><td>1200.0</td></tr><tr><td>1</td><td>みかん</td><td>0.0</td></tr><tr><td>2</td><td>バナナ</td><td>950.0</td></tr><tr><td>3</td><td>ぶどう</td><td>0.0</td></tr><tr><td>4</td><td>もも</td><td>1400.0</td></tr></tbody></table></figure></div>
<p>まずはこの形が分かりやすいです。</p>
<h3><span id="toc27">列ごとに値を分ける</span></h3>
<p>次に覚えたいのが、今回の <code>sales_df</code> のように複数の欠損列がある場合に、列ごとに補完方法を分ける形です。</p>
<pre class="language-python" data-prismjs-copy><code class="language-python">df = sales_df.copy()
mean_sales = df[&quot;売上&quot;].mean()
df = df.fillna({
    &quot;売上&quot;: mean_sales,
    &quot;カテゴリ&quot;: &quot;不明&quot;,
    &quot;担当者&quot;: &quot;未設定&quot;
})
print(df[[&quot;商品&quot;, &quot;売上&quot;, &quot;カテゴリ&quot;, &quot;担当者&quot;]])
</code></pre>
<div class="table-scroll"><figure class="wp-block-table"><table class="wp-block-table"><thead><tr><th></th><th>商品</th><th>売上</th><th>カテゴリ</th><th>担当者</th></tr></thead><tbody><tr><td>0</td><td>りんご</td><td>1200.0</td><td>果物</td><td>田中</td></tr><tr><td>1</td><td>みかん</td><td>1183.333333</td><td>不明</td><td>未設定</td></tr><tr><td>2</td><td>バナナ</td><td>950.0</td><td>果物</td><td>佐藤</td></tr><tr><td>3</td><td>ぶどう</td><td>1183.333333</td><td>不明</td><td>未設定</td></tr><tr><td>4</td><td>もも</td><td>1400.0</td><td>果物</td><td>鈴木</td></tr></tbody></table></figure></div>
<p>実際の前処理では、この形がかなり便利です。 「数値列」「カテゴリ列」「担当者のような管理用列」で、埋め方を分けやすいからです。</p>
<h3><span id="toc28">数値列では平均値も検討する</span></h3>
<p><code>0</code> を入れると不自然になりそうな数値列では、今回の <code>売上</code> のように平均値で補完する考え方も覚えておくと便利です。</p>
<pre class="language-python" data-prismjs-copy><code class="language-python">df = sales_df.copy()
mean_sales = df[&quot;売上&quot;].mean()
df[&quot;売上&quot;] = df[&quot;売上&quot;].fillna(mean_sales)
print(df[[&quot;商品&quot;, &quot;売上&quot;]])
</code></pre>
<div class="table-scroll"><figure class="wp-block-table"><table class="wp-block-table"><thead><tr><th></th><th>商品</th><th>売上</th></tr></thead><tbody><tr><td>0</td><td>りんご</td><td>1200.0</td></tr><tr><td>1</td><td>みかん</td><td>1183.333333</td></tr><tr><td>2</td><td>バナナ</td><td>950.0</td></tr><tr><td>3</td><td>ぶどう</td><td>1183.333333</td></tr><tr><td>4</td><td>もも</td><td>1400.0</td></tr></tbody></table></figure></div>
<p><code>0</code> を入れると不自然になりそうな数値列では、この考え方も覚えておくと安心です。 たとえば今回のサンプルでは、<code>売上</code> を平均値で補完しています。</p>
<h2><span id="toc29">補完方法の選び方を整理する</span></h2>
<p>ここまで見てきたように、<code>fillna()</code> にはいくつかの補完方法があります。 迷ったときは、<strong>列の種類と意味</strong> を基準に選ぶと整理しやすいです。</p>
<div class="table-scroll"><figure class="wp-block-table"><table class="wp-block-table"><thead><tr><th>列の例</th><th>補完方法の候補</th><th>考え方</th></tr></thead><tbody><tr><td><code>売上</code> のような数値列</td><td>平均値</td><td>外れ値の影響が大きくないときに考えやすい</td></tr><tr><td><code>売上</code> のような数値列</td><td>中央値</td><td>外れ値の影響を受けにくくしたいとき</td></tr><tr><td>数値列でよく出る値がある場合</td><td>最頻値</td><td>もっとも出現しやすい値でそろえたいとき</td></tr><tr><td><code>カテゴリ</code>・<code>担当者</code> のような文字列列</td><td><code>&quot;不明&quot;</code>・<code>&quot;未設定&quot;</code></td><td>欠損であることを明示したいとき</td></tr><tr><td><code>在庫数</code> のような個数列</td><td><code>0</code></td><td>「在庫なし」とみなせる場面で使いやすい</td></tr><tr><td><code>来店者数</code> のような連続観測データ</td><td><code>ffill()</code> / <code>bfill()</code></td><td>前後の値を引き継いでも不自然でないとき</td></tr></tbody></table></figure></div>
<p>この表のとおり、<strong>1つの正解が常にあるわけではありません。</strong> <code>fillna()</code> では、「どの方法が使えるか」よりも「その列にとって自然かどうか」を判断することが大切です。</p>
<h2><span id="toc30">まとめ</span></h2>
<p><code>fillna()</code> は、Pandasで欠損値を埋めるための基本機能です。 ただし、今回の <code>sales_df</code> を見ても分かるように、<strong>どの列にも同じ値を入れればよいわけではありません</strong>。</p>
<ul><li><code>売上</code> のような数値列</li><li><code>カテゴリ</code> や <code>担当者</code> のような文字列列</li><li><code>在庫数</code> のように <code>0</code> 補完も検討しやすい列</li><li><code>来店者数</code> のように <code>ffill()</code> を考えやすい連続データ</li></ul>
<p>では、自然な埋め方が違います。</p>
<p>そのため、<code>fillna()</code> では「文法」だけでなく、<strong>列の意味に応じて補完方法を選ぶ視点</strong>が大切です。 迷ったら、まず <code>isnull()</code> で欠損を確認し、次に「この列は何を表しているか」を考えてから補完方法を決めましょう。</p>
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<h3 class="rank-math-question "><span id="toc32"> fillna() と dropna() の違いは何ですか？</span></h3>
<div class="rank-math-answer ">

<p><code>fillna()</code> は欠損値を別の値で埋める機能です。 一方、<code>dropna()</code> は欠損値を含む行や列を削除する機能です。 行を残したいときは <code>fillna()</code>、不要な行を消してもよいときは <code>dropna()</code> を使いやすいです。</p>

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<div id="faq-question-1775924456341" class="rank-math-list-item">
<h3 class="rank-math-question "><span id="toc33"> fillna() はとりあえず 0 を入れればよいですか？</span></h3>
<div class="rank-math-answer ">

<p>必ずしもそうではありません。 数値列によっては、<code>0</code> を入れると「本当に0だった」という意味に見えてしまうことがあります。 迷ったら、その列の意味を確認して、平均値や中央値での補完も検討するとよいです。</p>

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<div id="faq-question-1775924485685" class="rank-math-list-item">
<h3 class="rank-math-question "><span id="toc34"> fillna() を使ったのに元のDataFrameが変わりません</span></h3>
<div class="rank-math-answer ">

<p><code>fillna()</code> の結果を代入していない可能性があります。 たとえば <code>df = df.fillna(0)</code> のように書くと反映しやすいです。</p>

</div>
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<div id="faq-question-1775924495529" class="rank-math-list-item">
<h3 class="rank-math-question "><span id="toc35">初心者はまずどの使い方を覚えるべきですか？</span></h3>
<div class="rank-math-answer ">

<p>まずは次の2つで十分です。<br /><code>df["列名"] = df["列名"].fillna(値)</code><br /><code>df = df.fillna({"列名": 値})</code><br />この2つが分かると、日常的な前処理がかなり進めやすくなります。</p>

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<div id="faq-question-1775924516725" class="rank-math-list-item">
<h3 class="rank-math-question "><span id="toc36">平均値・中央値・最頻値は、どれを使えばよいですか？</span></h3>
<div class="rank-math-answer ">

<p>目安としては、次のように考えると整理しやすいです。<br /><strong>* 平均値</strong>: 全体のバランスを見て補完したいとき<br /><strong>* 中央値</strong>: 外れ値の影響を抑えたいとき<br /><strong>* 最頻値</strong>: よく出る値で埋めたいとき<br />ただし、最終的には「その列にとって自然かどうか」で判断することが大切です。</p>

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</div><p>&lt;p&gt;The post <a rel="nofollow" href="https://pythondatalab.com/pandas-fillna/">pandas fillna()の使い方｜欠損値を0・平均値・中央値・最頻値で埋める方法を初心者向けに解説</a> first appeared on <a rel="nofollow" href="https://pythondatalab.com">Python Data Lab（Pythonデータラボ）</a>.&lt;/p&gt;</p>
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		<title>pandas value_counts()の使い方｜件数集計・割合表示・欠損値の数え方を解説【第１５回】</title>
		<link>https://pythondatalab.com/pandas-value-counts/</link>
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		<pubDate>Sun, 22 Mar 2026 11:07:30 +0000</pubDate>
				<category><![CDATA[基礎]]></category>
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<p>&lt;p&gt;The post <a rel="nofollow" href="https://pythondatalab.com/pandas-value-counts/">pandas value_counts()の使い方｜件数集計・割合表示・欠損値の数え方を解説【第１５回】</a> first appeared on <a rel="nofollow" href="https://pythondatalab.com">Python Data Lab（Pythonデータラボ）</a>.&lt;/p&gt;</p>
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<h2><span id="toc1">こんなことで困っていませんか？</span></h2>
<p>Pandasでデータ分析をしていると、次のような場面によく出会います。</p>
<ul>
<li>列の中に同じ値が何件あるか知りたい</li>
<li>件数だけでなく割合も見たい</li>
<li>欠損値（NaN）が何件あるか確認したい</li>
<li>groupby() と何が違うのかわからない</li>
<li>表記ゆれや入力ミスをすばやく見つけたい</li>
</ul>
<p>そんなときに便利なのが、value_counts() です。</p>
<p>value_counts() は、<strong>1列の中にある値ごとの出現回数を集計するためのメソッド</strong>です。Pandasでデータを読み込んだあとに、まず中身をざっくり把握したいときによく使います。</p>
<p>さらに、normalize=True を使えば割合も確認でき、dropna=False を使えば欠損値も含めて数えられます。そのため、単なる件数集計だけでなく、<strong>カテゴリの偏り確認、欠損値チェック、表記ゆれの発見</strong>にも役立ちます。</p>
<p>この記事では、Pandas初心者向けに value_counts() の基本から、割合表示、欠損値の数え方、表記ゆれの見つけ方、groupby().size() や count() との違いまで、実例つきでわかりやすく解説します。</p>

<p>▶️ value_countsの公式ドキュメントも参考にしてください：<br /><a rel="noopener" href="https://pandas.pydata.org/docs/reference/api/pandas.Series.value_counts.html" target="_blank">pandas.Series.value_counts Documentation</a></p>

<h2><span id="toc2">この記事でわかること</span></h2>
<ul>
<li>value_counts() の基本的な使い方がわかる</li>
<li>値ごとの<strong>件数</strong>を集計できる</li>
<li>値ごとの<strong>割合</strong>を表示できる</li>
<li><strong>欠損値（NaN）を含めて</strong>数えられる</li>
<li>表記ゆれやカテゴリの偏りを見つけられる</li>
<li>groupby().size() や count() との違いがわかる</li>
</ul>

<h2><span id="toc3">value_counts() とは？</span></h2>
<p>value_counts() は、<strong>Seriesの中にある値ごとの出現回数を数えるメソッド</strong>です。</p>
<p>たとえば、会員ランクの列があるときに value_counts() を使うと、Gold が何件、Silver が何件、Bronze が何件あるかをすぐに集計できます。</p>
<p>基本構文は次のとおりです。</p>
<p>df[&#8220;列名&#8221;].value_counts()
まずは、<strong>「1列の値の出現回数を数える」</strong>と覚えておけば大丈夫です。</p>

<h2><span id="toc4">サンプルデータの作成</span></h2>
<p>今回は、少し実務に近いサンプルデータを使って説明します。</p>

<pre class="language-python"><code class="language-python">import pandas as pd
import numpy as np

df = pd.DataFrame({
    &quot;member_rank&quot;: [&quot;Gold&quot;, &quot;Silver&quot;, &quot;Gold&quot;, &quot;Bronze&quot;, np.nan, &quot;Silver&quot;, &quot;Gold&quot;, &quot;bronze&quot;, &quot; Silver &quot;],
    &quot;city&quot;: [&quot;Tokyo&quot;, &quot;Osaka&quot;, &quot;Tokyo&quot;, &quot;Nagoya&quot;, &quot;Tokyo&quot;, &quot;osaka&quot;, &quot;Tokyo &quot;, &quot;Nagoya&quot;, np.nan],
    &quot;rating&quot;: [5, 4, 5, 3, 4, 4, 5, 3, 4]
})

print(df)</code></pre>
<div class="table-scroll"><figure class="wp-block-table"><table class="wp-block-table"><thead><tr><th>member_rank</th><th>city</th><th>rating</th></tr></thead><tbody><tr><td>Gold</td><td>Tokyo</td><td>5</td></tr><tr><td>Silver</td><td>Osaka</td><td>4</td></tr><tr><td>Gold</td><td>Tokyo</td><td>5</td></tr><tr><td>Bronze</td><td>Nagoya</td><td>3</td></tr><tr><td>NaN</td><td>Tokyo</td><td>4</td></tr><tr><td>Silver</td><td>osaka</td><td>4</td></tr><tr><td>Gold</td><td>Tokyo</td><td>5</td></tr><tr><td>bronze</td><td>Nagoya</td><td>3</td></tr><tr><td>Silver</td><td>NaN</td><td>4</td></tr></tbody></table></figure></div>
<p>このデータからわかること</p>
<p>このデータには、member_rank のようなカテゴリ列、city のような文字列列、rating のような数値列が含まれています。さらに、NaN、大文字・小文字の違い、余分な空白も入っているため、value_counts() の基本だけでなく、実務でよくある問題も確認できます。</p>
<p>つまり、この1つのサンプルで、基本の件数集計、割合表示、欠損値の確認、表記ゆれの発見、数値データへの応用まで自然に学べるようになっています。</p>

<h2><span id="toc5">基本の使い方｜件数を数える</span></h2>
<p>まずは、もっとも基本的な使い方です。</p>

<pre class="language-python"><code class="language-python">print(df[&quot;member_rank&quot;].value_counts())</code></pre>
<div class="table-scroll"><figure class="wp-block-table"><table class="wp-block-table"><thead><tr><th>member_rank</th><th>count</th></tr></thead><tbody><tr><td>Gold</td><td>3</td></tr><tr><td>Silver</td><td>2</td></tr><tr><td>Bronze</td><td>1</td></tr><tr><td>bronze</td><td>1</td></tr><tr><td> Silver</td><td>1</td></tr></tbody></table></figure></div>
<p><strong>この結果からわかること</strong></p>
<p>この結果を見ると、Gold が3件で最も多く、次に Silver が2件あることがわかります。</p>
<p>一方で、Bronze と bronze、Silver と &#8221; Silver &#8221; が別々に集計されています。これは、value_counts() が<strong>見た目ではなく、実際の値をそのまま集計する</strong>ためです。大文字・小文字の違いや前後の空白があると、別の値として数えられます。</p>
<p>また、この結果には NaN が表示されていません。これは、value_counts() がデフォルトでは欠損値を除外するためです。</p>
<p><strong>ポイント</strong></p>
<p>value_counts() は、<strong>件数の多い順</strong>に並びます
デフォルトでは NaN は数えません
空白や大文字・小文字の違いも、<strong>別の値として集計されます</strong></p>

<h2><span id="toc6">割合を表示する方法｜normalize=True</span></h2>
<p>件数だけでなく、全体に対する割合を見たいこともあります。その場合は normalize=True を指定します。</p>

<pre class="language-python"><code class="language-python">print(df[&quot;member_rank&quot;].value_counts(normalize=True))</code></pre>
<div class="table-scroll"><figure class="wp-block-table"><table class="wp-block-table"><thead><tr><th>member_rank</th><th>proportion</th></tr></thead><tbody><tr><td>Gold</td><td>0.375</td></tr><tr><td>Silver</td><td>0.250</td></tr><tr><td>Bronze</td><td>0.125</td></tr><tr><td>bronze</td><td>0.125</td></tr><tr><td> Silver</td><td>0.125</td></tr></tbody></table></figure></div>
<p><strong>この結果からわかること</strong></p>
<p>この結果では、Gold が全体の 37.5%、Silver が 25.0% を占めていることがわかります。</p>
<p>件数だけを見ると「Gold は3件」としかわかりませんが、割合を見ることで、<strong>全体の中でどれくらいの比率なのか</strong>を把握できます。</p>
<p>特に、データ件数が増えると、単純な件数だけでは比較しにくくなることがあります。そのため、カテゴリの偏りを確認したいときは、件数と割合の両方を見るのがおすすめです。</p>
<p><strong>ポイント</strong></p>
<p>0〜1 の小数で返ります
0.375 は <strong>37.5% を意味します
件数よりも、</strong>全体に対する比率を比較しやすくなります
見やすくしたい場合は round() を組み合わせます。</p>

<pre class="language-python"><code class="language-python">print(df[&quot;member_rank&quot;].value_counts(normalize=True).round(3))</code></pre>
<div class="table-scroll"><figure class="wp-block-table"><table class="wp-block-table"><thead><tr><th>member_rank</th><th>proportion</th></tr></thead><tbody><tr><td>Gold</td><td>0.375</td></tr><tr><td>Silver</td><td>0.250</td></tr><tr><td>Bronze</td><td>0.125</td></tr><tr><td>bronze</td><td>0.125</td></tr><tr><td> Silver</td><td>0.125</td></tr></tbody></table></figure></div>
<h2><span id="toc7">パーセント表示にする方法</span></h2>
<p>割合をパーセントで表示したい場合は、100をかけます。</p>

<pre class="language-python"><code class="language-python">print((df[&quot;member_rank&quot;].value_counts(normalize=True) * 100).round(1))</code></pre>
<div class="table-scroll"><figure class="wp-block-table"><table class="wp-block-table"><thead><tr><th>member_rank</th><th>proportion</th></tr></thead><tbody><tr><td>Gold</td><td>37.5</td></tr><tr><td>Silver</td><td>25.0</td></tr><tr><td>Bronze</td><td>12.5</td></tr><tr><td>bronze</td><td>12.5</td></tr><tr><td> Silver</td><td>12.5</td></tr></tbody></table></figure></div>
<p>% をつけて表示したい場合は、次のように書けます。</p>

<pre class="language-python"><code class="language-python">rate = (df[&quot;member_rank&quot;].value_counts(normalize=True) * 100).round(1).astype(str) + &quot;%&quot;
print(rate)</code></pre>
<div class="table-scroll"><figure class="wp-block-table"><table class="wp-block-table"><thead><tr><th>member_rank</th><th>proportion</th></tr></thead><tbody><tr><td>Gold</td><td>37.5%</td></tr><tr><td>Silver</td><td>25.0%</td></tr><tr><td>Bronze</td><td>12.5%</td></tr><tr><td>bronze</td><td>12.5%</td></tr><tr><td> Silver</td><td>12.5%</td></tr></tbody></table></figure></div>
<p>この結果からわかること</p>
<p>割合をパーセントで表示すると、結果がかなり直感的になります。特に、レポートやブログ記事など、人に見せる前提の場面では 0.375 より 37.5% のほうが伝わりやすいです。</p>
<p>分析途中では小数のままでも問題ありませんが、<strong>説明用の資料ではパーセント表示のほうが親切</strong>です。</p>

<h2><span id="toc8">欠損値も数える方法｜dropna=False</span></h2>
<p>value_counts() は、デフォルトでは <strong>NaN を集計しません</strong>。</p>
<p>NaN も含めて数えたい場合は、dropna=False を指定します。</p>

<pre class="language-python"><code class="language-python">print(df[&quot;member_rank&quot;].value_counts(dropna=False))</code></pre>
<div class="table-scroll"><figure class="wp-block-table"><table class="wp-block-table"><thead><tr><th>member_rank</th><th>count</th></tr></thead><tbody><tr><td>Gold</td><td>3</td></tr><tr><td>Silver</td><td>2</td></tr><tr><td>Bronze</td><td>1</td></tr><tr><td>NaN</td><td>1</td></tr><tr><td>bronze</td><td>1</td></tr><tr><td> Silver</td><td>1</td></tr></tbody></table></figure></div>
<p>この結果からわかること</p>
<p>今度は NaN が1件あることが表示されました。つまり、この member_rank 列には欠損値が1つ含まれていると確認できます。</p>
<p>基本の value_counts() だけを見ると、欠損値が存在しないように見えることがあります。ですが、dropna=False を使えば、<strong>欠損値も含めた本当の分布</strong>を見ることができます。</p>
<p><strong>ポイント</strong></p>
<ul>
<li>dropna=False をつけると、欠損値も件数に含まれます</li>
<li>データ品質の確認に便利です</li>
<li>前処理の前に、欠損値の有無をざっくり把握できます</li>
</ul>

<h2><span id="toc9">欠損値を含めた割合を表示する方法</span></h2>
<p>NaN も含めて割合を出したい場合は、normalize=True と dropna=False を組み合わせます。</p>

<pre class="language-python"><code class="language-python">print(df[&quot;member_rank&quot;].value_counts(normalize=True, dropna=False).round(3))</code></pre>
<div class="table-scroll"><figure class="wp-block-table"><table class="wp-block-table"><thead><tr><th>member_rank</th><th>proportion</th></tr></thead><tbody><tr><td>Gold</td><td>0.333</td></tr><tr><td>Silver</td><td>0.222</td></tr><tr><td>Bronze</td><td>0.111</td></tr><tr><td>NaN</td><td>0.111</td></tr><tr><td>bronze</td><td>0.111</td></tr><tr><td> Silver</td><td>0.111</td></tr></tbody></table></figure></div>
<p><strong>この結果からわかること</strong></p>
<p>この結果では、NaN が全体の約11.1%を占めていることがわかります。件数だけでなく割合でも確認できるため、<strong>欠損値の影響がどれくらい大きいか</strong>を判断しやすくなります。</p>
<p>たとえば、欠損値が1件だけなら大きな問題でないこともありますが、全体の3割、4割を占めるようなら、分析結果への影響は無視できません。割合で見ると、その重要度をより判断しやすくなります。</p>

<h2><span id="toc10">少ない順に並べたいとき｜ascending=True</span></h2>
<p>value_counts() はデフォルトで件数の多い順に並びます。少ない順にしたい場合は ascending=True を使います。</p>

<pre class="language-python"><code class="language-python">print(df[&quot;member_rank&quot;].value_counts(dropna=False, ascending=True))</code></pre>
<div class="table-scroll"><figure class="wp-block-table"><table class="wp-block-table"><thead><tr><th>member_rank</th><th>count</th></tr></thead><tbody><tr><td>NaN</td><td>1</td></tr><tr><td>Bronze</td><td>1</td></tr><tr><td> Silver</td><td>1</td></tr><tr><td>bronze</td><td>1</td></tr><tr><td>Silver</td><td>2</td></tr><tr><td>Gold</td><td>3</td></tr></tbody></table></figure></div>
<p><strong>この結果からわかること</strong></p>
<p>少ない順に並べると、件数の少ないカテゴリから確認できます。この例では、NaN、Bronze、bronze、&#8221; Silver &#8221; がいずれも1件ずつであることがすぐにわかります。</p>
<p>多数派だけでなく、<strong>少数派や例外的な値を見つけたいとき</strong>に便利です。入力ミスや珍しいカテゴリを探したいときは、降順より昇順のほうが見やすい場合があります。</p>

<h2><span id="toc11">値順に並べたいとき｜sort_index()</span></h2>
<p>value_counts() は件数順に並びます。値そのものの順番で見たいときは、sort_index() を組み合わせます。</p>

<pre class="language-python"><code class="language-python">print(df[&quot;member_rank&quot;].value_counts(dropna=False).sort_index())</code></pre>
<div class="table-scroll"><figure class="wp-block-table"><table class="wp-block-table"><thead><tr><th>member_rank</th><th>count</th></tr></thead><tbody><tr><td> Silver</td><td>1</td></tr><tr><td>Bronze</td><td>1</td></tr><tr><td>Gold</td><td>3</td></tr><tr><td>Silver</td><td>2</td></tr><tr><td>bronze</td><td>1</td></tr><tr><td>NaN</td><td>1</td></tr></tbody></table></figure></div>
<p>この結果からわかること</p>
<p>件数順ではなく、値そのものの順番で並べたいときに便利です。ただし、空白つきの &#8221; Silver &#8221; が先頭に来ていることからもわかるように、<strong>余分な空白があると並び順にも影響する</strong>ことがあります。</p>
<p>ここでも、表記ゆれや前処理の重要性が見えてきます。</p>

<h2><span id="toc12">よく使う書き方まとめ【比較表】</span></h2>
<div class="table-scroll"><figure class="wp-block-table"><table class="wp-block-table"><thead><tr><th>やりたいこと</th><th>書き方</th></tr></thead><tbody><tr><td>件数を数える</td><td>df[&#8220;列名&#8221;].value_counts()</td></tr><tr><td>割合を出す</td><td>df[&#8220;列名&#8221;].value_counts(normalize=True)</td></tr><tr><td>欠損値も含める</td><td>df[&#8220;列名&#8221;].value_counts(dropna=False)</td></tr><tr><td>欠損値込みで割合を出す</td><td>df[&#8220;列名&#8221;].value_counts(normalize=True, dropna=False)</td></tr><tr><td>少ない順に並べる</td><td>df[&#8220;列名&#8221;].value_counts(ascending=True)</td></tr><tr><td>値順に並べる</td><td>df[&#8220;列名&#8221;].value_counts().sort_index()</td></tr><tr><td>件数でソートしない</td><td>df[&#8220;列名&#8221;].value_counts(sort=False)</td></tr></tbody></table></figure></div>
この表の見方

<p>まずは次の3つを押さえておくと十分です。</p>
<ul>
<li>件数を数える</li>
<li>割合を出す</li>
<li>欠損値も含める</li>
</ul>
<p>そのうえで、並び順を変えたいときに ascending=True や sort_index() を使う、と覚えると整理しやすいです。
また、デフォルトの件数ソートが不要な場合は <code>sort=False</code> を使うこともできます。</p>

<h2><span id="toc13">value_counts() の結果を表として扱う方法</span></h2>
<p>value_counts() の結果は Series です。そのため、そのままでも使えますが、表として扱いやすくしたい場合は reset_index() を使います。</p>

<pre class="language-python"><code class="language-python">result = df[&quot;member_rank&quot;].value_counts(dropna=False).reset_index()
result.columns = [&quot;member_rank&quot;, &quot;count&quot;]
print(result)</code></pre>
<div class="table-scroll"><figure class="wp-block-table"><table class="wp-block-table"><thead><tr><th>member_rank</th><th>count</th></tr></thead><tbody><tr><td>Gold</td><td>3</td></tr><tr><td>Silver</td><td>2</td></tr><tr><td>Bronze</td><td>1</td></tr><tr><td>NaN</td><td>1</td></tr><tr><td>bronze</td><td>1</td></tr><tr><td>Silver</td><td>1</td></tr></tbody></table></figure></div>
<p><strong>この結果からわかること</strong></p>
<p>value_counts() の結果が、2列のDataFrameとして扱いやすい形になりました。これにより、あとで別の表と結合したり、CSVで保存したり、グラフ用データとして使ったりしやすくなります。</p>
<p>分析の途中ではSeriesのままでも十分ですが、<strong>あとで加工したいときはDataFrameにしておくと便利</strong>です。</p>

<h2><span id="toc14">件数と割合をまとめて表示する方法</span></h2>
<p>件数と割合を一緒に見たい場合は、次のように書けます。</p>

<pre class="language-python"><code class="language-python">counts = df[&quot;member_rank&quot;].value_counts(dropna=False)
rates = df[&quot;member_rank&quot;].value_counts(normalize=True, dropna=False) * 100

summary = pd.DataFrame({
    &quot;count&quot;: counts,
    &quot;rate(%)&quot;: rates.round(1)
})

print(summary)</code></pre>
<div class="table-scroll"><figure class="wp-block-table"><table class="wp-block-table"><thead><tr><th>member_rank</th><th>count</th><th>rate(%)</th></tr></thead><tbody><tr><td>Gold</td><td>3</td><td>33.3</td></tr><tr><td>Silver</td><td>2</td><td>22.2</td></tr><tr><td>Bronze</td><td>1</td><td>11.1</td></tr><tr><td>NaN</td><td>1</td><td>11.1</td></tr><tr><td>bronze</td><td>1</td><td>11.1</td></tr><tr><td>Silver</td><td>1</td><td>11.1</td></tr></tbody></table></figure></div>
<p><strong>この結果からわかること</strong></p>
<p>この表では、各カテゴリについて「何件あるか」と「全体の何%か」を同時に確認できます。たとえば、Gold は3件で 33.3%、Silver は2件で 22.2%、NaN は 11.1% です。</p>
<p>このように件数と割合をまとめて見ると、<strong>分布の全体像を一目で把握しやすくなります</strong>。ブログや資料に載せるときにも、この形式は非常に使いやすいです。</p>

<h2><span id="toc15">value_counts() は表記ゆれの発見にも便利</span></h2>
<p>value_counts() は、データクリーニングの入口としても便利です。</p>
<p>たとえば city 列を見てみます。</p>

<pre class="language-python"><code class="language-python">print(df[&quot;city&quot;].value_counts(dropna=False))</code></pre>
<div class="table-scroll"><figure class="wp-block-table"><table class="wp-block-table"><thead><tr><th>city</th><th>count</th></tr></thead><tbody><tr><td>Tokyo</td><td>3</td></tr><tr><td>Nagoya</td><td>2</td></tr><tr><td>Osaka</td><td>1</td></tr><tr><td>osaka</td><td>1</td></tr><tr><td>Tokyo</td><td>1</td></tr><tr><td>NaN</td><td>1</td></tr></tbody></table></figure></div>
<p><strong>この結果からわかること</strong></p>
<p>この結果では、Tokyo が3件、Nagoya が2件となっていますが、同時に Osaka と osaka、Tokyo と Tokyo が別々に存在していることもわかります。</p>
<p>つまり、<strong>同じ意味の値が表記の違いによって分かれてしまっている</strong>状態です。このまま集計を進めると、本来まとめるべきカテゴリが分散し、正しい分布を把握しにくくなります。</p>
<p>このようなときは、文字列をそろえてから再集計します。</p>

<pre class="language-python"><code class="language-python">df[&quot;city_cleaned&quot;] = df[&quot;city&quot;].str.strip().str.lower()
print(df[&quot;city_cleaned&quot;].value_counts(dropna=False))</code></pre>
<div class="table-scroll"><figure class="wp-block-table"><table class="wp-block-table"><thead><tr><th>city_cleaned</th><th>count</th></tr></thead><tbody><tr><td>tokyo</td><td>4</td></tr><tr><td>osaka</td><td>2</td></tr><tr><td>nagoya</td><td>2</td></tr><tr><td>NaN</td><td>1</td></tr></tbody></table></figure></div>
<p><strong>この結果からわかること</strong></p>
<p>クリーニング後は、Tokyo と Tokyo が tokyo に統一され、Osaka と osaka も osaka にまとまりました。その結果、都市ごとの実際の件数がかなりわかりやすくなっています。</p>
<p>このように、value_counts() は単なる件数集計だけでなく、<strong>前処理の前後でデータが整ったかを確認する道具</strong>としても使えます。</p>
<p><strong>ポイント</strong></p>
<ul>
<li>表記ゆれや入力ミスの発見に向いています</li>
<li>前処理の前後で比較すると、クリーニングの効果を確認しやすいです</li>
</ul>

<h2><span id="toc16">数値データにも使える</span></h2>
<p>value_counts() は文字列だけでなく、数値データにも使えます。</p>
<p>たとえば rating 列の件数を見てみます。</p>

<pre class="language-python"><code class="language-python">print(df[&quot;rating&quot;].value_counts())</code></pre>
<div class="table-scroll"><figure class="wp-block-table"><table class="wp-block-table"><thead><tr><th>rating</th><th>count</th></tr></thead><tbody><tr><td>4</td><td>4</td></tr><tr><td>5</td><td>3</td></tr><tr><td>3</td><td>2</td></tr></tbody></table></figure></div>
<p><strong>この結果からわかること</strong></p>
<p>この結果では、評価4が4件で最も多く、次に評価5が3件、評価3が2件あるとわかります。つまり、このデータでは極端に偏った分布ではなく、中間的な評価がやや多い傾向が見えます。</p>
<p>アンケートの回答、テストの点数、レビュー評価などでも同じように使えます。</p>

<h2><span id="toc17">value_counts() の結果はグラフ化にも使える</span></h2>
<p>value_counts() の結果はSeriesなので、そのまま棒グラフに使えます。</p>

<pre class="language-python"><code class="language-python">import matplotlib.pyplot as plt

!pip install japanize-matplotlib &gt; /dev/null # Google Colab の機能を使って日本語フォントをインストール・インポート
import japanize_matplotlib

df[&quot;member_rank&quot;].value_counts(dropna=False).plot(kind=&quot;bar&quot;)
plt.xlabel(&quot;member_rank&quot;)
plt.ylabel(&quot;count&quot;)
plt.title(&quot;member_rank の件数集計&quot;)
plt.show()</code></pre>
<figure class="image-block"><img decoding="async" src="data:image/png;base64,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
" alt="Colab notebook output image" /></figure>
<p><strong>この結果からわかること</strong></p>
<p>棒グラフにすると、どのカテゴリが多いかを視覚的に確認しやすくなります。表だけでも十分ですが、カテゴリ数が多いときや他人に説明するときは、グラフのほうが伝わりやすいことがあります。</p>
<p>ただし、今回の記事の主役はあくまで value_counts() なので、可視化は「こういう使い方もできる」と押さえておく程度で十分です。</p>

<h2><span id="toc18">value_counts() と groupby().size() と count() の違い</span></h2>
<div class="table-scroll"><figure class="wp-block-table"><table class="wp-block-table"><thead><tr><th>書き方</th><th>主な用途</th><th>特徴</th></tr></thead><tbody><tr><td>value_counts()</td><td>1列の値の出現回数を数える</td><td>最も手軽でわかりやすい</td></tr><tr><td>groupby().size()</td><td>グループごとの件数を数える</td><td>複数列の組み合わせ集計にも向く</td></tr><tr><td>count()</td><td>欠損値を除いた件数を数える</td><td>列ごとの非欠損件数を見るときに使う</td></tr></tbody></table></figure></div>

<h3><span id="toc19">どう使い分ければよいか</span></h3>
<p>まず、1列だけの分布確認なら value_counts() が最も簡単です。</p>
<p>たとえば「会員ランクごとの人数を知りたい」なら、value_counts() が最短です。</p>
<p>一方、複数列の組み合わせで件数を見たいときは groupby().size() が向いています。たとえば「都市ごと・会員ランクごとの件数を見たい」といった場面です。</p>
<p>また、count() は「値の種類ごとの件数」を数えるというより、<strong>欠損でないデータが何件あるか</strong>を見るときに使います。そのため、value_counts() と同じ用途だと思うと混乱しやすいです。</p>

<h3><span id="toc20">初心者向けの覚え方</span></h3>
<ul>
<li>1列の分布を見る → value_counts()</li>
<li>複数条件で件数を出す → groupby().size()</li>
<li>欠損を除いた件数を知る → count()</li>
</ul>

<h2><span id="toc21">よくある使い方の例</span></h2>
<ul>
<li>会員ランクの分布確認</li>
<li>アンケート回答の件数確認</li>
<li>都道府県別・カテゴリ別の件数確認</li>
<li>欠損値を含めたデータ品質チェック</li>
<li>表記ゆれや入力ミスの発見</li>
</ul>
<p>つまり、value_counts() は分析の最初にデータの中身をざっくり把握するための定番メソッドと言えます。</p>

<h2><span id="toc22">大規模データでの考慮事項</span></h2>
<p>value_counts() は便利ですが、<strong>ユニークな値が非常に多い列</strong>に使うと、結果が長くなりやすいです。</p>
<p>たとえば、ID列や自由入力の文字列列では、ほとんど同じ値が出てこないことがあります。その場合、集計しても見づらくなることがあります。</p>
<p>そんなときは、上位だけ確認する方法が便利です。</p>
<p>print(df[&#8220;member_rank&#8221;].value_counts(dropna=False).head())</p>
<p><strong>この考え方のポイント</strong></p>
<p>value_counts() はカテゴリ列にはとても向いていますが、ほぼすべて違う値が入っている列では、結果が長すぎて役立ちにくいことがあります。そのような場合は head() で上位だけを見る、あるいは別の列を集計対象にする、といった工夫が必要です。</p>

<h2><span id="toc23">よくある間違い</span></h2>

<h3><span id="toc24">NaN が表示されないのはおかしいと思ってしまう</span></h3>
<p>これはバグではありません。value_counts() はデフォルトで NaN を除外します。df[&#8220;member_rank&#8221;].value_counts(dropna=False)と書けば、NaN も数えられます。</p>

<h3><span id="toc25">割合が 0〜1 の小数で返ってきて戸惑う</span></h3>
<p>normalize=True は割合を返しますが、50% ではなく 0.5 のように返ってきます。(df[&#8220;member_rank&#8221;].value_counts(normalize=True) * 100).round(1)のように書くと、見やすくなります。</p>

<h3><span id="toc26">表記ゆれに気づかず、そのまま集計してしまう</span></h3>
<p>Silver と &#8221; Silver &#8220;、Bronze と bronze のように、見た目は近くても別の値として集計されます。そのため、件数を見るときは、<strong>本当に同じカテゴリとして扱ってよいか</strong>を意識することが大切です。</p>

<h2><span id="toc27">ワンポイント</span></h2>
<p>value_counts() は、head()、info()、describe() と並んで、<strong>データを読み込んだ直後に確認したい基本操作</strong>の1つです。</p>
<p>head() で先頭行を見る
info() で型と欠損を見る
value_counts() でカテゴリの分布を見る
という流れで確認すると、データの全体像をかなりつかみやすくなります。</p>
<p>つまり、value_counts() は「あとで使う関数」ではなく、<strong>最初に使う確認用メソッド</strong>として覚えておくと実務でも役立ちます。</p>

<h2><span id="toc28">まとめ</span></h2>
<p>value_counts() は、<strong>列の値ごとの出現回数をすばやく集計できる便利なメソッド</strong>です。</p>
<p>基本の形はとてもシンプルです。</p>
<p>df[&#8220;列名&#8221;].value_counts()
さらに、</p>
<ul>
<li>割合を出したい → normalize=True</li>
<li>欠損値も含めたい → dropna=False</li>
<li>少ない順に並べたい → ascending=True
を組み合わせることで、より実用的に使えます。</li>
</ul>
<p>また、単なる件数集計だけでなく、</p>
<ul>
<li>カテゴリの偏り確認</li>
<li>欠損値の確認</li>
<li>表記ゆれの発見</li>
<li>可視化前の下準備</li>
</ul>
<p>にも役立ちます。</p>
<p>Pandasでデータを読み込んだら、head() や info() とあわせて、ぜひ value_counts() も使ってみてください。</p>

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<div id="rank-math-faq" class="rank-math-block">
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<div id="faq-question-1774176973991" class="rank-math-list-item">
<h3 class="rank-math-question "><span id="toc30">value_counts() とは何ですか？</span></h3>
<div class="rank-math-answer ">

<p>Seriesに含まれる値ごとの出現回数を数えるメソッドです。1列のカテゴリ分布を確認するときによく使います。</p>

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<div id="faq-question-1774176997535" class="rank-math-list-item">
<h3 class="rank-math-question "><span id="toc31">割合を表示するにはどうすればよいですか？</span></h3>
<div class="rank-math-answer ">

<p><code>normalize=True</code> を指定します。<br />df[&#8220;member_rank&#8221;].value_counts(normalize=True)</p>

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<div id="faq-question-1774177030143" class="rank-math-list-item">
<h3 class="rank-math-question "><span id="toc32">欠損値も数えられますか？</span></h3>
<div class="rank-math-answer ">

<p>はい。<code>dropna=False</code> を指定すると、NaN も件数に含められます。<br />df[&#8220;member_rank&#8221;].value_counts(dropna=False)</p>

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<div id="faq-question-1774177055790" class="rank-math-list-item">
<h3 class="rank-math-question "><span id="toc33">groupby().size() との違いは何ですか？</span></h3>
<div class="rank-math-answer ">

<p><code>value_counts()</code> は1列の出現回数を手軽に数えるのに向いています。<br />一方、<code>groupby().size()</code> は複数列の組み合わせ集計など、より柔軟な集計に向いています。</p>

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</div><p>&lt;p&gt;The post <a rel="nofollow" href="https://pythondatalab.com/pandas-value-counts/">pandas value_counts()の使い方｜件数集計・割合表示・欠損値の数え方を解説【第１５回】</a> first appeared on <a rel="nofollow" href="https://pythondatalab.com">Python Data Lab（Pythonデータラボ）</a>.&lt;/p&gt;</p>
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		<title>Matplotlib 複数グラフの作り方：subplots / GridSpec / 共有軸を完全ガイド（実務レイアウト例つき）【第８回】</title>
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		<dc:creator><![CDATA[coin_collector]]></dc:creator>
		<pubDate>Sat, 06 Dec 2025 09:23:53 +0000</pubDate>
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					<description><![CDATA[<p>Matplotlibで複数のグラフを1つのFigureにまとめる方法を完全ガイド。subplotsの使い方、GridSpecによる柔軟なレイアウト、共有軸、余白調整、ダッシュボード風配置など実務的なテクニックをサンプルコ [&#8230;]</p>
<p>&lt;p&gt;The post <a rel="nofollow" href="https://pythondatalab.com/matplotlib-subplots-gridspec-layout/">Matplotlib 複数グラフの作り方：subplots / GridSpec / 共有軸を完全ガイド（実務レイアウト例つき）【第８回】</a> first appeared on <a rel="nofollow" href="https://pythondatalab.com">Python Data Lab（Pythonデータラボ）</a>.&lt;/p&gt;</p>
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										<content:encoded><![CDATA[
Matplotlibで複数のグラフを1つのFigureにまとめる方法を完全ガイド。subplotsの使い方、GridSpecによる柔軟なレイアウト、共有軸、余白調整、ダッシュボード風配置など実務的なテクニックをサンプルコード付きで解説します。

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<p>ダッシュボード風に複数のグラフを並べたいときは、subplotsとGridSpecを使い分けるのが基本です。本記事では、均等配置から複雑なレイアウトまで、実務でよく使うパターンをサンプル付きでまとめます。</p>
<h2><span id="toc1">この記事でわかること</span></h2>
<ul>
<li>sharex/shareyで軸を共有して比較しやすくする</li>
<li>subplots(nrows, ncols)での均等グリッド配置</li>
<li>tight_layout/constrained_layoutで余白を調整</li>
<li>GridSpecで幅・高さの比率を変えた柔軟レイアウト</li>
<li>図全体のタイトル（suptitle）と凡例（fig.legend）</li>
</ul>
<p>データ分析やレポート作成において、複数のグラフを効果的に配置し、比較することは非常に重要です。しかし、ただグラフを並べるだけでは、情報が読み取りにくくなったり、伝えたいメッセージが曖昧になったりすることがあります。例えば、時系列データの複数の指標を同時に追いたい場合、製品の地域別売上を比較したい場合、あるいは実験結果の異なる側面を一度に示したい場合など、適切に配置された複数グラフは、より深い洞察を促し、説得力のあるプレゼンテーションを可能にします。この記事では、そんな課題を解決するために、Matplotlibで複数のグラフを柔軟に、かつ美しく配置するテクニックを網羅的に解説します。ダッシュボード作成や論文発表など、様々なシーンで役立つ具体的な方法を学ぶことで、あなたのデータ可視化スキルが向上することでしょう。</p>
<h2><span id="toc2">はじめに：ランダムウォークの折れ線グラフ</span></h2>
<p>複数のグラフを並べて使用したいので、異なるデータを簡単に作成する方法の一つとして、ランダムウォークのデータを使用します。</p>
<p>ここでは、Pythonの強力な数値計算ライブラリである<code>NumPy</code>を使って、ランダムウォークのデータ(<code>y1</code>, <code>y2</code>, <code>y3</code>, <code>y4</code>)を生成しています。特に、以下の3つの関数が重要です。</p>
<ul>
<li>  <strong><code>np.random.seed(シード値)</code></strong>: この関数は、乱数（ランダムな数値）を生成する際に、その「出発点」を設定します。同じ<code>シード値</code>を指定すると、何度プログラムを実行しても<strong>毎回全く同じ乱数の並び</strong>が生成されます。これにより、グラフの形が常に同じになり、結果の再現性が保証されます。</li>
</ul>
<ul>
<li>  <strong><code>np.random.normal(loc=平均, scale=標準偏差, size=個数)</code></strong>: この関数は、<strong>正規分布</strong>（釣鐘状の形をした、自然界でよく見られるデータの分布）に従う乱数を指定された<code>個数</code>だけ生成します。</li>
<li>  <code>loc</code>: 乱数の平均値です。</li>
<li>  <code>scale</code>: 乱数のばらつき具合（標準偏差）です。この値が大きいほど、乱数のばらつきが大きくなります。</li>
<li>  <code>size</code>: 生成する乱数の個数です。</li>
</ul>
<p>ランダムウォークでは、この関数を使って「一歩あたりの変化量」をランダムに決めています。</p>
<ul>
<li>  <strong><code>np.cumsum(配列)</code></strong>: この関数は、与えられた<code>配列</code>の<strong>累積和</strong>を計算します。累積和とは、配列の最初の要素から順番に、そこまでの要素をすべて足し合わせた値のことです。ランダムウォークでは、各ステップの変化量を次々に足し合わせることで、現在の位置（累積された値）を計算し、折れ線グラフの線として表現します。</li>
</ul>
<pre class="language-python"><code class="language-python">import matplotlib.pyplot as plt

!pip install japanize-matplotlib &gt; /dev/null # Google Colab の機能を使って日本語フォントをインストール・インポート
import japanize_matplotlib

import numpy as np # numpyをインポート（乱数を作成するために使用）


# グラフ１

# 乱数を一定にするためのシード（種）を設定します。42という数字は何でも良いですが、同じ数字にすると
# 毎回同じランダムなデータが生成され、結果を再現しやすくなります。
np.random.seed(42)

# ランダムウォークのデータを生成します。
# x1は、平均(loc)が0、標準偏差(scale)が1の正規分布に従うランダムな数値を100個作成します。
# これが「一歩あたりの変化量」になります。
x1 = np.random.normal(loc=0, scale=1, size=100)

# y1は、x1の累積和を計算します。これにより、各ステップでの変化を積み重ねて、
# ランダムウォークの軌跡（グラフの線）を作成します。
y1 = np.cumsum(x1)

# グラフを描画するための準備をします。
# figは図全体、axは個別のグラフ領域（サブプロット）を指します。
# figsize=(9,6)は、グラフの幅と高さをインチで指定しています。
fig, ax = plt.subplots(figsize=(9,6))

# y1のデータを折れ線グラフとしてプロットします。
ax.plot(y1)

# グラフのタイトルを設定します。
ax.set_title(&quot;グラフ１&quot;)

# x軸のラベルを設定します。
ax.set_xlabel(&quot;ステップ&quot;)

# y軸のラベルを設定します。
ax.set_ylabel(&quot;累積和&quot;)

# グラフにグリッド線を追加します。linestyle=&quot;:&quot;で線の種類を点線に、alpha=0.7で透明度を設定します。
ax.grid(True, linestyle=&quot;:&quot;, alpha=0.7)

# グラフのタイトルやラベルが重ならないように、レイアウトを自動的に調整します。
plt.tight_layout()

# グラフを表示します。
plt.show()


# グラフ２

np.random.seed(2)
x2 = np.random.normal(loc=0, scale=1, size=100)
y2 = np.cumsum(x2)

fig, ax = plt.subplots(figsize=(8,5))
ax.plot(y2, color=&quot;C1&quot;)
ax.set_title(&quot;グラフ２&quot;)
ax.set_xlabel(&quot;ステップ&quot;)
ax.set_ylabel(&quot;累積和&quot;)
ax.grid(True, linestyle=&quot;:&quot;, alpha=0.7)
plt.tight_layout()
plt.show()

# グラフ３

np.random.seed(3)
x3 = np.random.normal(loc=0, scale=1, size=100)
y3 = np.cumsum(x3)

fig, ax = plt.subplots(figsize=(7,4))
ax.plot(y3, color=&quot;C2&quot;)
ax.set_title(&quot;グラフ３&quot;)
ax.set_xlabel(&quot;ステップ&quot;)
ax.set_ylabel(&quot;累積和&quot;)
ax.grid(True, linestyle=&quot;:&quot;, alpha=0.7)
plt.tight_layout()
plt.show()

# グラフ４

np.random.seed(4)
x4 = np.random.normal(loc=0, scale=1, size=100)
y4 = np.cumsum(x4)

fig, ax = plt.subplots(figsize=(6,3))
ax.plot(y4,color=&quot;C1&quot;)
ax.set_title(&quot;グラフ４&quot;)
ax.set_xlabel(&quot;ステップ&quot;)
ax.set_ylabel(&quot;累積和&quot;)
ax.grid(True, linestyle=&quot;:&quot;, alpha=0.7)
plt.tight_layout()
plt.show()</code></pre>
<div class="colab-figure"><img decoding="async" 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
" alt="figure"></div>
<div class="colab-figure"><img decoding="async" 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vg/jCw5m8Tk7b59MGHK+AsmMm7ELIicIlkQsSQPQpMsCM3ELEiPhQFc12XHjh3xu7KKkhwK9dwv4Pp5sOWx1BVQZMyIWRA5RbIgYkkehCZZEJqJWZCGhen0qlCJDoXa8hh4Lmx9On1lEkIIIYQQ4iAyFMoAtm2zYMGC+D/UQ6F69kDffpgweeQna6tTt+3bUldAkTEjZkHkFMmCiCV5EJpkQWgmZkF6LAzgui51dXXxu7ImlkD+wHyJ0eZZ9PdAx8CQqfbtqSyiyJARsyByimRBxJI8CE2yIDQTsyANC0MUFBTE/4FlxUzgHmWexZ5twMAmKe07wKANU0Tihs2CyDmSBRFL8iA0yYLQTMuCNCwMYNs28+bNw7aHeTuKElwZak9d9Li3E/bvSU0BRcaMmgWRMyQLIpbkQWiSBaGZmAVzSpLDHMehtrYWx3Hin5DoXhZtWwb/XYZDBc6oWRA5Q7IgYkkehCZZEJqJWZCGhQEsy6KwsBDLsuKfkOhQqLa6wX+XCdyBM2oWRM6QLIhYkgehSRaEZmIWZFUoA9i2TVlZ2fAnJNxjMdCwyJ8C/fukYRFAo2ZB5AzJgogleRCaZEFoJmZBeiwM4DgONTU1w3dlRXosRmlY6DkWh52qbmUoVOCMmgWRMyQLIpbkQWiSBaGZmAVpWBjAsixKS0uH78qK7L49QsPiQCd0N6vjxWeq2/YdqSukyIhRsyByhmRBxJI8CE2yIDQTsyBDoQxg2zYzZ84c/gTdY3GgA3q7oWDq0HP2bFW3U2bA7GPUsfRYBM6oWRA5Q7IgYkkehCZZEJqJWZAeCwM4jkN1dfXwXVkFhVBQpI6H67XQK0KVLoZph6njjgYI96a2sCKtRs2CyBmSBRFL8iA0yYLQTMyCNCwMYFkWZWVlI3dlRSZwD7MylO6xmLZI9VrkTwY82Fuf0rKK9EooCyInSBZELMmD0CQLQjMxC9KwMIBt25SWlo68wcloE7gjPRaL1G7dhxyq/i7DoQIloSyInCBZELEkD0KTLAjNxCyYU5Ic5jgOVVVVI3dljbbkrF5qtnSRuj1kYDiULDkbKAllQeQEyYKIJXkQmmRBaCZmQRoWBrBtmwULFozSYzHKylCxcyxAeiwCKqEsiJwgWRCxJA9CkywIzcQsyKpQBrAsi5KSkpFPKpqjbuM1LPbvgQN71bHuqZCGRSAllAWREyQLIpbkQWiSBaGZmAVzmjg5zHEcNmzYMPahULq3omgeTJisjvXKUHtkKFSQJJQFkRMkCyKW5EFokgWhmZgFaVgYwLZtlixZkvhQKM8b/LPI/IqF0ftieywOPl8YK6EsiJwgWRCxJA9CkywIzcQsmFOSHGZZFoWFhYktN9vXrTbKi3Xw/AqAkvmABf37YF9rSssr0iehLIicIFkQsSQPQpMsCM3ELEjDwgDhcJj169cTDoeHP2nCZJh0iDo+eJ6FblhMWxS9L68g2hiRlaECI6EsiJwgWRCxJA9CkywIzcQsSMPCAKFQiKOOOopQKDTyiUV6OFTj4Pv36KFQiwffLxO4AyfhLIisJ1kQsSQPQpMsCM3ELEjDwgCWZTF58uTRu7L0ylCxu297HrQN7Lpdumjw+dKwCJyEsyCynmRBxJI8CE2yIDQTsxD4hsWmTZs4//zzmTdvHvPnz+cjH/kIe/bs8btYSQmHw6xbt270rqx4u293vaHmUVghKFkw+Pxph6pbWRkqMBLOgsh6kgURS/IgNMmC0EzMQqAbFm1tbbz5zW/mvPPOo76+ntdff50DBw5w6aWX+l20pIRCIVatWpXAUKg4S87q+RUl8yFvwuDzI7tvb09JOUX6JZwFkfUkCyKW5EFokgWhmZiFQG+Qt2HDBs444ww+85nPADBp0iS+8Y1vcMwxx9DR0UFxcbHPJUxcQqGILDkbMxRquPkVIEOhAsqkC4Twl2RBxJI8CE2yIDTTshDoHouzzz6bv/zlL4Pu27hxIwUFBRQUFPhUquQ5jkNFRcXoG5zoHovYyduRpWYXDT1f91h0NUJ/z/gLKtIu4SyIrCdZELEkD0KTLAjNxCwEumFxsIcffphPfvKTfO1rX2PixIlxz+nt7aWzs3PQHwDXdSO38Y4dx0no2BvYjC72OBwODzn2PC9ybNt2pCtL3w/geV4kLJ7n4UwtU8cdu3D0OW3RHgvXdSPnu66LO7EEJhSqv+/ZntE6HVyPYesUU95Ejv18nzJRJ8uyWLt2LZZlZU2dsvF9ykSd9HXBtu2sqVM2vk+ZqlMoFGL16tWRSZrZUKdsfJ8yUSfP81izZg22bWdNnbLxfcpEnUa6LqSjTokwtmGxe/du5s2bN+yfG2+8MXKu4zh8/etf5x3veAff+973+M53vjPs815//fUUFxdH/pSXlwOwfft2AOrr66mvrwdg27ZtNDaq3oG6ujqam5sBqK2tpbVVbTpXU1NDe3s7ANXV1XR0qM3rqqqq6O7uBqCyspKeHtVjUFFRQV9fH44TbWX29fXx0ksvAdDT00NlZSUA3d3dVFVVAdDR0cGmejUp3Qr3UFv1gqp7y+uqYtMW0tzcTF2damg0Njaybfv2yHCo1s0VGa9TRUXFqHWqrq4GoL29nZqaGlXW1lZqa2sBhtZp2zZf36dM1MlxHLZv355VdcrG9ykTdXrppZeyrk7Z+D5lqk47d+7Mujpl4/uU7jq99NJLHDhwIKvqlI3vU6bqtGvXroz9DpsIy0umGWKgAwcO8I53vIPW1lb++Mc/cvjhh494fm9vL729vZG/d3Z2Ul5eTnt7OyUlJZGWm23bg44dx8GyrFGPbdvGsqxBx+FwmFAoNOgYiLQ2w+EwFRUVHHvssYRCIRzHIS8vD8/zIt9URY5vWAr7W3GufJpQ2dF435+N5fTBZ1/BLS7H8zxCoVC07Pd8CGoewD3nB9gnfjJjddLHuh4j1mmgvLFlH+443nuTTXUKh8Ns2LCB1atXk5eXlxV1ysb3KRN10teFtWvXkpeXlxV1ysb3KVN1cl2X9evXs2bNGiZMmJAVdcrG9ykTdert7WXDhg2R3u1sqFM2vk+ZqJPnecNeF1JZp3379lFSUkJHRwdFRUWMJPANi3e/+90A3HnnnUyYMGGUs4fq7OykuLg4oX8sI9xyKjRVwaV/gZnL4KYVEJoA33gD7DgTeB75Jjz3Czj+k3DeDzJfXiGEEEIIEVjJ/K5s7FCoRNx9991UV1fzpz/9aUyNClN4nsf+/fsTG8Omd9/uaAA9v2LawviNCpCVoQImqSyIrCZZELEkD0KTLAjNxCwEumHx0EMP0dDQwKJFi4bMwbjnnnv8Ll7CHMdh06ZNOE4Cs/qLY1aGijQs4qwIpcleFoGSVBZEVpMsiFiSB6FJFoRmYhYCPxRqvAI3FOrZn8Jj18Ix74FJh8ALv4aTroa3fC/++W118IvVkDcJvtEEBm37LoQQQgghzJYzQ6Gyhed5dHV1JTkUatfIe1hoxeVg2RDuge7m8RdWpFVSWRBZTbIgYkkehCZZEJqJWZCGhQFc12Xz5s2RGfwjigyFipljEW/XbS1vQnTHbhkOZbyksiCymmRBxJI8CE2yIDQTsyANCwPoDU4S2pY9dvftvTvU8UgNC4hO4N6zbcxlFJmRVBZEVpMsiFiSB6FJFoRmYhakYWEAz/PYu3dvgkOh5gAWOH3guTBhKkydNfJjZGWowEgqCyKrSRZELMmD0CQLQjMxC9KwMIDruuzYsSOxrqxQ/uCGxLSFo0/IlpWhAiOpLIisJlkQsSQPQpMsCM3ELOT5XQChurJWrFiR+AOK5kD3G+p4pInbWqTHQoZCmS7pLIisJVkQsSQPQpMsCM3ELEiPhQFc16WtrS3xFqeewA2jz68AGQoVIElnQWQtyYKIJXkQmmRBaCZmQRoWBvA8j6ampsTHyOklZ2HkzfEi5wwMhepuhr79yRdQZEzSWRBZS7IgYkkehCZZEJqJWZCGhQFCoRDLly9PfFZ/sj0Wkw6BicXqWHotjJZ0FkTWkiyIWJIHoUkWhGZiFqRhYQDXdWlpaUm8K6sotmGRQI8FyHCogEg6CyJrSRZELMmD0CQLQjMxC9KwMIDnebS1tSXelVVcrm4nTYPJ0xJ7jKwMFQhJZ0FkLcmCiCV5EJpkQWgmZkFWhTJAKBRi2bJliT9g7ho4/hMwZ1Xij5GVoQIh6SyIrCVZELEkD0KTLAjNxCxIj4UBXNelqakp8a4s24bzfggr3pv4i8hQqEBIOgsia0kWRCzJg9AkC0IzMQvSsDCA53l0dXWltytrmgyFCoKMZEEEgmRBxJI8CE2yIDQTs2B5JpXGB52dnRQXF9PR0UFRUZHfxUmf9u1w0woIFcDXd6kdvIUQQgghhBhBMr8rS4+FAVzXpaGhIb1dWcXz1WRvpxca1qfvdcS4ZCQLIhAkCyKW5EFokgWhmZgFaVgYore3N70vYNuw+Ex1vPnR9L6WGJe0Z0EEhmRBxJI8CE2yIDTTsiBDoXJlKBRA1f/BvR+DWUfDJ5/1uzRCCCGEEMJwMhQqYFzXZceOHenvylp8JmBB80bobErva4kxyVgWhPEkCyKW5EFokgWhmZgFaVjkkinTo3tfbHnM37IIIYQQQoisIg0LA9i2zYIFC7DtDLwdS85Wt1tknoWJMpoFYTTJgogleRCaZEFoJmbBnJLkMNd1qaury0xX1pK3qNu6p8AJp//1RFIymgVhNMmCiCV5EJpkQWgmZkEaFoYoKCjIzAvNWaWWne3tgIYXM/OaIikZy4IwnmRBxJI8CE2yIDTTsiANCwPYts28efMy05VlhxJfdtbz4IHPwh/fAeG+9JdNZDYLwmiSBRFL8iA0yYLQTMyCOSXJYY7jUFtbi+M4mXnBxQPzLEZrWOx4Dl76PdQ9Drsq0l4s4UMWhLEkCyKW5EFokgWhmZgFaVgYwLIsCgsLsSwrMy+Y6LKzz/wketz0StqLJXzIgjCWZEHEkjwITbIgNBOzIA0LA9i2TVlZWea6shJZdnbXBqh7Ivr3pqr0l0tkPgvCWJIFEUvyIDTJgtBMzII5JclhjuNQU1OT2a6s0ZadffZGdVs0T92+IT0WmeBLFoSRJAsiluRBaJIFoZmYBWlYGMCyLEpLSzPblaXnWcRbdrblNah5QB2/9SZ1u/s16D+QseLlKl+yIIwkWRCxJA9CkywIzcQsSMPCALZtM3PmzMx2Zc1dPfyys8/+VN0ecSEsOlOd54ah5dXMlS9H+ZIFYSTJgogleRCaZEFoJmbBnJLkMMdxqK6uzmxX1qBlZx+J3r9nG2y8Rx2f8kWwLChbof4uw6HSzpcsCCNJFkQsyYPQJAtCMzEL0rAwgGVZlJWVZb4rK7LsbMwE7ud+Dp4Di96sejUAyo5RtzKBO+18y4IwjmRBxJI8CE2yIDQTs5DndwGE6soqLS3N/AsfvOysZUHln9TPTvlS9DzdY+HnkrNOP7TVqeFYLTUDt6/C/jZ4522w5Cx/yrV3J9S/CMvfqf79xsm3LAjjSBZELMmD0CQLQjMxC9KwMIDuylq+fDmhUChzL6yXnW3coJad3f0aOH1QfgIsOCl63uyBhkVztZroHcpgbFwH/vJ+tUmfM8zu31V/9q9h8cDnVNlcB1a8Z9xP51sWhHEkCyKW5EFokgWhmZgFaVgYwLZtFixY4M/kmyVnq4bFxruh4SV136lfGvzt+7SFMGEq9HVD22aYuSxz5WvdDLUPqeMJU2HGEer1Zx0F4V547Dv+7QruOlD/gjredG9KGha+ZkEYRbIgYkkehCZZEJqJWZCGhQEsy6KkpMSfF198Njz9Q9j2H/X32cfA4oO+/bdtmH007HxezbPIZMOic5e6nX44fGqdKovWs1c1LNq3w75W1QOTSW1bVGML1GaCvV1QUDiup/Q1C8IokgURS/IgNMmC0EzMgjlNnBzmOA4bNmzwZ1a/XnZW0ytBHWy2nsCd4XkWXW+o2+K5gxsVAJNKYPpSdbzrpYwWS73mhuix0zt4da0x8jULwiiSBRFL8iA0yYLQTMyCNCwMYNs2S5Ys8acrK3bZ2dIlsOyi+Of5teRsV6O6LZwT/+dz16rbBh+GQzVWqttQgbrVmwqOg69ZEEaRLIhYkgehSRaEZmIWzClJDrMsi8LCQv+WCzvpMzB3DVxwg2poxFMW02PheZkrW2eTui2cHf/n89aoWz/mWTQO9Fgc+1F1W/sI9PeM6yl9z4IwhmRBxJI8CE2yIDQTsyANCwOEw2HWr19POBz2pwBlK+DKJ2DhacOfM+MICE1QO3W3b89Y0egaaFgUlcX/ue6x2PUSuG5mygRq+ds3NqrjtZdD0Vzo3wd1T47raX3PgjCGZEHEkjwITbIgNBOzIA0LA4RCIY466ihjlgqLK5QPM49Ux5ncKK9zlKFQs46CvIlwoAP21GWuXLtfg/ABKChWq2bpIWTjHA4ViCyIjJAsiFiSB6FJFoRmYhakYWEAy7KYPHmyUV1Zcfkxz2K0HotQPpStVMeZnGehJ27PWakmlS97q/r76w+q3owxCkwWRNpJFkQsyYPQJAtCMzEL0rAwQDgcZt26dUZ1ZcUVmWeRoR4Lpx+6W9TxcD0WAPP0cKgMNiz0xO05q9Tt/BNg8nQ4sBe2PzPmpw1MFkTaSRZELMmD0CQLQjMxC9KwMEAoFGLVqlVGdWXFpXfgztSSs90tgAd2HkyZMfx5cwcmcDesz0ixgOjEbd2wsENwxAXqeBzDoQKTBZF2kgURS/IgNMmC0EzMQlY1LC655BKjuoOSYVIohjXrKLBs2NcS3V8infQwqKmzh+5hEUv3WDRvGveqTAnpPwDNr6rjuauj9x85MByq5p9qV+4xCkQWREZIFkQsyYPQJAtCMy0LWdOwuOOOO3jttdf8LsaYOI5DRUWFURucxDVhcnRDukwMh9ITt4ebX6EVl8OUmeCGM1Oulk3g9sPkUvXa2qGnqsnc+1qg/sUxPXVgsiDSTrIgYkkehCZZEJqJWciKhsW2bdv48pe/zE033eR3UcYkFAqxdu1a41qdcZVlcDhU1yh7WGiWFe21yMQE7sjE7dWDdynPmwCHn6uOxzgcKlBZEGklWRCxJA9CkywIzcQsBL5h4TgOH/jAB/jSl77EYYcd5ndxxsyk1uaIZusJ3C+n/7VGW2o2VjITuDsaxjVUicaX1a2eXxFLrw5V88CYNxIMTBZE2kkWRCzJg9AkC0IzLQuBb1j8z//8D3l5eXzxi19M6Pze3l46OzsH/QFwBzZXc1037rHjOAkdewO/TMYeh8PhIcee50WOw+EwGzZsiDxGz+73PC8SmNhj13UTOk5LnWYfrcrT9MqIdTq4HmOq00CPhTt19uh1mqMmcHsNFSPXqfrv8NOj8B79TtLvU6QeAxO3nYFG1qA6LToDL38ydOzE3VWZ9PvU399PZWUl/f39GcleSt6nUeqU6f9P2VInfV2I/XvQ65SN71Om6uQ4Dhs2bKC/vz9r6pSN71Mm6tTX1xe5NmRLnbLxfcpEnUa6LqSjTokwtmGxe/du5s2bN+yfG2+8kRdffJGf/exn3HHHHdgjTe6Ncf3111NcXBz5U16uxshv374dgPr6eurr6wE1xKqxUX1rXldXR3NzMwC1tbW0trYCUFNTQ3t7OwDV1dV0dHQAUFVVRXd3NwCVlZX09KhJxRUVFfT19eE40XFxrutiWRZ5eXn09PRQWamWMu3u7qaqSs0Z6OjooLq6GoD29nZqamoAaG1tpba2FoDm5mbq6tQmcY2NjWzbti31dSpcBIDVsZOePY3D1qmvr4+KCtV7MOY6DfRYNPfYo9apyZoNWFgd9ezetil+nfbsgad/pIJQcRv0diX1PvX19bFh3bNqczxgY1ve0Drt76djxrEAHHj5nqTfp6amJk444QTq6+szkr2UvE+j1CnT/5+ypU6WZUX+ZEudsvF9ylSd8vLymDNnDk1NTVlTp2x8nzJRp8rKSlavXo1lWVlTp2x8nzJRp7y8PMrLyyP1SHedEmF5yTRDDLJ//35WrFjBN77xDT7ykY8AqnFw2GGHjdiy6u3tpbe3N/L3zs5OysvLaW9vp6SkJNJys2170LHjOFiWNeqxbdtYljXoOBwOEwqFBh2DahGGQiE8z2Pfvn1MnTo1cn9eXh6e5+G6buQcfey6Lp7njXocrx4pqdNNK2DvDrwP/QNr4elx63RwPcZUp5uPh7bNOB/8B6FFp49ep/89CXbX4L7nTuxlFw6t09Ynse98ZzQMF/4UZ9WHE36fAJztz5F3x/l4hWU4n62OWyfvlXuw770Sb/pS3E+uS+p98jyP3t5eCgoKEnpvxpu9lLxPmcxeDtVJXxemTJkSOT/odcrG9ylTdbIsi3379jFp0qQhdQ1qnbLxfcpEnfr7++nr62PSpEmRMga9Ttn4PmWiTrZtD3tdSGWd9u3bR0lJCR0dHRQVFTESY3ssRlNbW8uWLVu47LLLIt/q6TkWlmXxgQ98IO7jCgoKKCoqGvQHiPR42LYd9zgUCiV0rJe7jT3Oy8sbcqx7KCzLwnVdXnvttcgbnJeXF6mHDmLssW3bCR2nrU4DE7itNzYOW6eD6zGmOg0MhQoVz0usTvPUcCh7YKjSkDqt+5UKQeHAKlMVtxMa+I+TyPtkWRZ5b6hvFKw5q4etk334uRCagNVaS6htc1Lvk+d5bNq0KXLBGNf7lGidxvs+jVKnTP9/ypY66etCbI9m0OuUje9TpurkOA41NTWRL86yoU7Z+D5lok6WZfHqq6/ium7W1Ckb36dM1Gmk60I66pSIwDYsVq5cGRmvpv/o7i3P8/jTn/7kcwkTl5eXx7HHHhsJmPEysQP3gU7oU91woy43q80dYWWo5leh7gm1D8elf4FQAbzxSnSFp0QdvON2PBOLYOHp6viVv8CerWqPjYYK2PYM1D4CW5+KO4E8cFkQaSNZELEkD0KTLAjNxCyYU5Ic5nke3d3dTJ06NalWoW/KVqrbdC45q5eaLSiGCVMSe0xkZagN6pd2O2b5Nd1bsewimLMSjrpY/dL/0m2Rno6EHLzj9nCWvRU2PwLP/lT9ieeCG+HYKwbdFbgsiLSRLIhYkgehSRaEZmIWAttjEc+hhx6a1Mx1U7iuy+bNmyPj4Yynl5xtrYW+fel5jchSs6PsYRFrxjLInwx9XapsWlczvHK3Oj7xM+p27WXqtvrv0LM3sec/0AFtW9TxqA2Li2DaIrBCMKEQpsyAkvkw/XB1C/Dav4Y8LHBZEGkjWRCxJA9CkywIzcQsSI+FAUKhEKtXr/a7GIkrnAVTZ0F3sxriU35c6l9D91gkOgwKIJSnfuHf8V817GjmMnX/+t+C0wfzjoNytWIT5cerhsjuGtXoOP5joz+/HvpVMh+mlI587qQS+MxL6vjgbxFaauDmE1Q5+3sgf1K0CkHLgkgbyYKIJXkQmmRBaCZmIat6LILK8zz27t0brN6WyA7caZpnkczmeLHmDgxr0hvl9feohgXAiZ+OnmdZsPZydfzS7YltZrcrwWFQsa8Rr2tyxhFqAnn4AOx8ftCPApkFkRaSBRFL8iA0yYLQTMyCNCwM4LouO3bsMKora1Tp3oF7LD0WEJ1n0TDQW1D1F+jZo3oZjrhw8LnHXAJ5k6DlVah/cfTnjkzcHue3A5YFi96sjuueGPSjQGZBpIVkQcSSPAhNsiA0E7MgDQsDhEIhVqxYEVlGLBD0t/bJrqqUqK431G1hkg0LvTJUyybo7YbnByZtn/ApNVQq1qQSWD6wr0XFbaM/d6ITtxMRaVg8OejuQGZBpIVkQcSSPAhNsiA0E7MgDQsDuK5LW1ubUS3OUel5FS01iU9+ToYeClWU5FCo4rmqMeK58J8fQdtmKCiCVfH3NYlM4t50L+zfM/zz7muDvTvV8ZyVyZUpnoVnABY0V0cbUQQ0CyItJAsiluRBaJIFoZmYBWlYGMDzPJqamowaIzeqqTPhkMMALzqfIZX0UKhkeywgOs/iuV+o2zUfhoLC4c+dfTQ4vWrY1HCaBoZBlS6GicXJl+lgU0qj81S2PhW5O5BZEGkhWRCxJA9CkywIzcQsSMPCAKFQiOXLlxvVlZWQ8uPVbSLzE5LhhNWKU5B8jwVE51l4rlru9biPD3+uZcGagV6LituGn8S9K4GN8ZIVZ55FYLMgUk6yIGJJHoQmWRCaiVmQhoUBXNelpaXFqK6shOjhUDvXpfZ597VEGwVTZiT/+HnHRo+PuhhKykc+/+h3Q/4UNWxqx3/jn5OqiduxYudZDLz3gc2CSDnJgogleRCaZEFoJmZBGhYG8DyPtrY2o7qyEjL/BHW76yXVy5AqnQPDoKbOGrx7dqLKVkJogjo+8VOjnz+xCI5+lzquuD3+OamcuK2VH6caNPta1GRzApwFkXKSBRFL8iA0yYLQTMyCbJBngFAoxLJly/wuRvJmHKEmRvd2qiVby45JzfN26YnbY5hfAVAwFS75I/R1R+dbjGbtZbDhDtj0d3jjFZhcGv1TUKjmfFh26uoIkFcAh54Mmx9Ww6FmHx3cLIiUkyyIWJIHoUkWhGZiFqTHwgCu69LU1GRUV1ZC7FB0PkP9C6l73rEuNRvr8HOjvRCJmLMKDjtVDcFqrVUb1732T9XYeP6X6pwZy2DClLGXKR49HGrL40CAsyBSTrIgYkkehCZZEJqJWZAeCwN4nkdXVxczZ870uyjJKz9efdte/wIcd2VqnnOsS82O1wfuVY2K/W2wv1Xd7mtTt72dsPJ9qX/NxWeq253PQ99+vFBBcLMgUirQ1wWRcpIHoUkWhGZiFqRhYYBQKMTSpUv9LsbYRFaGSmWPxTiWmh2PUB7MOjKzr1m6GIrLoaMedjxHaMlZwc2CSKlAXxdEykkehCZZEJqJWZChUAZwXZeGhgajurISNneNmnuwd2d00vV4+dVj4QfLgkVnqOO6J4KdBZFSkgURS/IgNMmC0EzMgjQsDNHb2+t3EcZmYhHMPEodN6RoPwu/eiz8ctB+FoHNgkg5yYKIJXkQmmRBaKZlQRoWBrBtm0WLFmHbAX079H4WqdoorzPHGhaHnQZYsLsGu/uNYGdBpEzgrwsipSQPQpMsCM3ELJhTkhzmui47duwwqisrKXqeRSo2yuvtgr4udTzW5WaDZvI0mKs23nO3PBHsLIiUCfx1QaSU5EFokgWhmZgFaViI8Zs/0LBoqoL+nvE9l15qdkKh2j8iVwwMh7K2PuFzQYQQQgghxkYaFgawbZsFCxYY1ZWVlJIFapdstx8aXx7fc3WOc3O8oFqklp21tj7FgvLy5LLguqnd+VwYIfDXBZFSkgehSRaEZmIWzClJDnNdl7q6OqO6spJiWTHzLMa57GyuTdzW5q1VvTT726iveDDxLOzfA789E362HHr2prWIIrMCf10QKSV5EJpkQWgmZkEaFoYoKCjwuwjjE9nPYpwTuHNpqdlYoXy18zdQtHt9Yo/p7YY73w2NG1SDbNt/0lhA4YfAXxfEUDtfgAevge7dST9U8iA0yYLQTMuCNCwMYNs28+bNM6orK2nlJ6jb+hfA88b+PLnaYwGR/SyKd780ehb6D8Bf3ge7KqL37XgujYUTmZYV1wUx2Kb74I4L4cXfwMt3JvVQyYPQJAtCMzEL5pQkhzmOQ21tLY7j+F2UsSs7BkIFsL8V9mwd+/Pkao8FRPez2P4M7j+/qFbIiscJw18vh21Pw4SpcNJn1P07ns1MOUVGZMV1IVt0vQHhvvE9xwu/gXs+As7A8yR5nZQ8CE2yIDQTsyANCwNYlkVhYSGWZfldlLHLK4A5q9TxeOZZRHosZo+/TEFTugjvhKsAsCt+CzefCFseG3yO68I/Pg2v/0s15C79M5w40LB4o1rmWWSRrLguZIPGl+HGZXD/VWN7vOfB49+Fh64BPJixTN2/d0dSTyN5EJpkQWgmZkEaFgawbZuysjKjurLGJBUTuCOb4+VgjwVgnft9+OB9UDIfOurhT++Eez+pJml7Hvz7K/DKX8AKwbt/r+ZlFM6C0sWAN/7J88IYWXNdCLq6x8FzYeM90eWwE+X0qy8CnrlB/f3N34QLfqKO25NrWEgehCZZEJqJWTCnJDnMcRxqamqM6soak8hGeWP85dZ1oLtZHefacrMDHMehpm82zsf/Cyd8CrCg6i741fHw9yvV2GwsuPjXcMT50QcuOEndbpfhUNkia64LQffGRnXruVD1l8Qf17cP/nypmkthheCtv4BTr1HLcwN0NKhrXoIkD0KTLAjNxCxIw8IAlmVRWlpqVFfWmOiGxe6asQ3J2bcbPAcsG6bMTGnRgiKShYKpcO71cMUjMP1w2NeivjEFOP/HcMwlgx+44E3qViZwZ42suS4EXdMr0eOX70xscYr+HrjjrbDlUcibBO+9C1Z/SP2saA7Y+WrfHz2nLAGSB6FJFoRmYhakYWEA27aZOXOmUV1ZYzJ1BkxbqI4bKkY+Nx79ITt1FoTyUleuABmShfLj4BPPqG86p8yAt3wfjrty6AN1j0XTy2oZWhF4WXNdCLLerugk61ABtNYmdm3b8Ee1YtvEEvjw/XD4udGf2SEoKVfHScyzkDwITbIgNBOzYE5JcpjjOFRXVxvVlTVmkf0sxjAcKpeXmh0QNwt5BWps9jVb4KRhJpCWzIfi+eCGoSHBfTCE0bLquhBUza8CnromHXWxuu/lP438GKcfnvu5On7zN6Nzz2Lp4VBJzLOQPAhNsiA0E7MgDQsDWJZFWVmZUV1ZYzaeCdy5vNTsgHFlQfda7PhvagslfJFV14WgemNgGNTso2HV+9Vx9d+hb//wj9l4j1p4YcoMWPWB+OccohsW2xMuiuRBaJIFoZmYBWlYGMC2bUpLS43qyhozvVFeQ4XabyEZ0mMxvixEGhYyzyIbZNV1Iaj0xO3ZR8OCk1XPYG8nvPbP+Oe7Ljz7M3V8wqcgf1L883SPRZJDoSQPAiQLIsrELJhTkhzmOA5VVVVGdWWN2YwjoKAI+vdBc3Vyj+3M4T0sBowrC3oCd0OF2plbBFpWXReCKrZhYduwcqDXonKY4VCv/wtaX4eCYjj2iuGf95CxDYWSPAiQLIgoE7MgDQsD2LbNggULjGpxjpltw/yBXovtzyT3WN1jkcNDocaVhdJFauK70wu7Xkp94URGZdV1IYicMLS8qo5nH6NuV1yqbrf9B/buHHy+58EzN6rj4z4KE4uHf+6SQ9Vtkj0WkgcBkgURZWIWzClJDrMsi5KSEqPGyI3LYaep261PJ/c4GQo1vixYlgyHyiJZd10ImrbNED4AE6bCIYep+w5ZoDalxIOX/zz4/G1PQ+MGyJsIx39y5OfWPRZdTQn3LkoehCZZEJqJWZCGhQEcx2HDhg1GdWWNy8LT1e2O/0K4L/HHdUqPxbizENnPQiZwB13WXReCRg+DmrVc9cRqKwcmZL98p5pToeneitUfUktvj2RyqWqwgJronQDJg9AkC0IzMQvSsDCAbdssWbLEqK6scZl5pFoRpX9/4kuf9u2D3g51nMM9FuPOgu6xqH9RLXspAivrrgtBE7siVKxlF6l5ZHt3RBvwDS+pHgs7D076zOjPbVlJLzkreRCaZEFoJmbBnJLkMMuyKCwsNKora1xsOzocaluCw6F0b8WEqTCxKD3lCoBxZ2HGMph0iJo831SV2sKJjMq660LQxE7cjjVhcsyeFneq22cHeiuOfrdaOSoRkQnc2xI6XfIgNMmC0EzMgjQsDBAOh1m/fj3hcJLLs5psoZ5n8VRi53cN7GGRw70VkIIs2DbMl/0sskFWXheCwvOGb1hAdH+KV/+hVmF77Z+ABSd/PvHXSHLJWcmD0CQLQjMxC9KwMEAoFOKoo44iFAr5XZTU0fMsGirgQOfo50fmV+R2wyIlWZAJ3FkhK68LQdHVBPvbwAqpoZ0Hm3cslC5Rwz3/8j513xEXwIzDE3+NJJeclTwITbIgNBOzIA0LA1iWxeTJk43qyhq3kvkwbSF4TmLfnMuKUECKshBpWDwPrjkTukRysvK6EBRNA/MrZhwO+ROH/tyyojtxdzer21O+kNxrJNljIXkQmmRBaCZmQRoWBgiHw6xbt86orqyUSGbZWWlYACnKwuxjYEKhmgzfvCl1hRMZlbXXhSAYaRiUdsx7wRr4CD3sNJi7JrnXSLLHQvIgNMmC0EzMgjQsDBAKhVi1apVRXVkpoYdDJTLPorVW3ebwUrOQoiyE8mD+8epYhkMFVtZeF4JguBWhYhWVwfJ3gZ0Pp38t+dfQPRYH9sKBjlFPlzwITbIgNBOzIA0LQ5gUipQ57FTAgt010PXG8Oft2Qp1T6pj3RjJYSnJQmQ41LPjfy7hm6y8LgRBIj0WAG+/Gb74Giw4MfnXKJgKk6er4yTmWQgBkgURZVoWAt+wcByHa6+9loULFzJnzhxWr17Nv/71L7+LlRTHcaioqDBqg5OUmDwNylao45GGQ714K+DBojOTm/yYhVKWhchGec+pFW5E4GTtdcF0BzqjS8DOPmbkc0P5MGX62F8rMhxq+6inSh6EJlkQmolZCHzD4vOf/zzr169nw4YNNDY28u1vf5svfOEL7Nu3z++iJSwUCrF27VrjWp0psXCU/SwOdMKGP6rjEz6VmTIZLGVZmLMK8iaqlW30MDMRKFl9XTCZnpdUNE99OZJOSUzgljwITbIgNBOzEOiGRV1dHbfccgu/+93vKCkpAeDtb387r776KlOmTPG3cEkyqbWZUrHzLOJ9c/7yXdDXBdOXwqI3Z7JkxkpJFvIK1JKYANtlOFRQZe11wWSJzK9IlSQncEsehCZZEJppWQh0w+Kf//wnK1euZPbs2YPuN6nllgjHcaisrDQuHCkx/0QIFUDnLmjbMvhnrgMv/FodH/9xtblbjktpFvRwqNcfkuFQAZTV14VkHOiEvv2Ze71MNiyS6LGQPAhNsiA0E7MQ6N/kNm/ezKGHHsrvfvc7Vq5cyWGHHcYll1zC9u3bh31Mb28vnZ2dg/4AuK4buY137DhOQsfewC9wscfhcHjIsed5kWPdlZWXlxe5H8DzvEhYYo9d103o2M86ReqRPwmv/Dj1j7/1qcF1qn1YjWWeWIx79HuCU6eB9yMd75Nt25xwwgnYtj3+Oh35VjwrBFsehVfu9q1O2fg+ZaJOsV3c2VKnpN+nfW14Pzsabj0Dt7c7M3UamLjtzV6enjrFvk/F8wGgfceodcrLy+O4447DHvgCxqj3KRuzZ3CdAI4//nhCoVDW1Ckb36dM1Gmk60K6sjcaYxsWu3fvZt68ecP+ufHGG3EchyeeeIKdO3fy/PPPs2nTJsrKyjjttNPo7u6O+7zXX389xcXFkT/l5eUAkcZIfX099fX1AGzbto3GxkZADbtqblYbIdXW1tLa2gpATU0N7e3tAFRXV9PRoZYNrKqqipShsrKSnp4eACoqKujr68NxohNuent7eeGFF/A8j56eHiorKwHo7u6mqqoKgI6ODqqrqwFob2+npqYGgNbWVmpr1Rj65uZm6urqAGhsbGTbtm2+1amvr4+KigoA+ssHvjnf+tSgOoX/+wt1/5qP0L6vL1B1Stf7tHPnTvbv35+aOs06il1LPqj+jf/1RTb+55++1Ckb36dM1CkcDvPCCy8QDoezpk7Jvk/7N/0b68Be2P0avQ9/N/11am2BFvUaXVMOS0udYt+njtAhALB3J627d49YJ8/z2LJlCzt37jTufcrG7Jlep46ODsLhcFbVKRvfp3TXyfM8tm3blrE6JcLykmmGGOb666/n7rvvjrwxoFpZxcXF/N///R8XXHDBkMf09vbS29sb+XtnZyfl5eW0t7dTUlISabnFfmNs2zaO42BZ1qjHtm1jWdag43A4TCgUGnSsy6q/cdiwYQNr1qwhFApFWqGe5+G6buQbS33sum7kG82RjuPVI1N10sd5eXl4DRVYvz0TCorxvrwVF4vQ7hr49ZvwrBDWZ6twi+YGq04D3yik+n0Kh8NUVVWxYsUK8vLyxl+nvgOE/vg2rPp1ePOOg8seBDsvo3XKxvcpE3XS14XVq1eTl5eXFXVK+n3615ew1t8KgGeFcD/6JKG5K9JXp5ZXsW85Ga+gEL6yA8sOpTd7/b1Y/zMby3Nxv/Aa3pSZw9bJdV02bNjAypUrmTBhglnvUzZmz+A69fb2UlVVxapVq7AsKyvqlI3vUybq5HnesNeFVNZp3759lJSU0NHRQVFRESMJdMPi2Wef5eMf/zibNkV3Fw6Hw0ybNo2///3vnHXWWaM+R2dnJ8XFxQn9Y4kxch344WFqJ+iPPgHz1sA/roLKP8KRb4dL7vC7hNmtfTv878lqkvwZ34DTvux3iYRIzP+eDM0bobAMuppgzmr46GNgp2keXdVf4N6Pq/lJlz2Yntc42E+XQ0c9XPEo6GGjQghhkGR+VzZ2KFQiTj75ZMrKyvja175GX18ffX19fPnLX6asrIyTTz7Z7+IlzPM8urq6khrDFih2CA47RR1vewr2tcIrd6u/yxKzg6QlC4ccChfcoI6f+gHUr0/dc4u0yfrrwmh69kKzGg7A+/4PCoqgcQOs/236XjPRjfFSSU/gHmUvi5zPg4iQLAjNxCwEumEBcPfdd9PU1MT8+fM59NBD2bZtG4888ggTJ070u2gJc12XzZs3R7qtslLssrMv3Q5Or/r2Ub6hGyRtWTjmElj+LvAc+PtHobcrtc8vUi4nrgsjqX8B8GDaIrXR5lnXqvsf/y50NKTnNZvUGOeMNiwSXHI25/MgIiQLQjMxC3l+F2C8pk2bxu9//3u/izEuoVCI1atX+12M9NINi53rYPfr6viET4Jl+VYkE6UtC5alei3qX1DfjD70VXj7r1L/OiJlAntdCA/MYcsrGN/z7Pivul1wkrpdcxm88n8qww9eA++9K7XXD8/zt8di7/YRTwtsHkTKSRaEZmIWAt9jkQ08z2Pv3r1GdWWlXOliKJwDTh90N8PU2Wp+hRgkrVmYVAIX3wJY8PKfYNO9qX8NkTKBuC6Ee2HXBqi4De6/Gm45Ff5nLvxoYcKbvg1rx/PqVjcsbBsuugnsfHj9Qah5YHzPf7COBjiwF+w8mHFEap97JAn2WAQiDyIjJAtCMzEL0rAwgOu67Nixw6iurJSzrGivBcBxH4W8Cb4Vx1Rpz8Khb4JTvqCOH/gstG4Z+XzhG6OvC+3b4bdnqUbErWfAPz8PG+5QQ4ncfujrhlfvG/vz9+1X8ykg2rAAmLkM3vRZdfzQl+FAx9hf42C6t2LGEePvbUnGIYeq21E2yTM6DyKjJAtCMzEL0rAwQCgUYsWKFYHbMTxpumGRN1ENaxBDZCQLp39NzW850AG/Px9216bvtcSYGX1d+O/PoWG9akRMOgQWngEnfx7efQec9hV1zuZHx/78uyrADateTj1USDv1GjXvoqtJzbdIlcgwqGNS95yJ0PXr2AVOeNjTjM6DyCjJgtBMzII0LAzgui5tbW1GtTjTYtlFsPydcO4PYMp0v0tjpIxkIZQP77sbZh6lhqX9/vzIpmDCHMZeF/r2wcZ71PF77oQvb4MP3acmVx/1dlhxqfrZzufH3qOw4zl1u+CkofMo8ifCRT9Tx+t/B/Uvju01DvbGK+o2k/MrAKbOglCBWlihc/hJ6cbmQWScZEFoJmZBGhYG8DyPpqYmo8bIpcWEyfCu22Ct9FYMJ2NZmDoDPvyA+iVq3274/QXwRnV6X1Mkxdjrwqv/gN5O9U374ecP/cV/2mFQukT1ONQ9ObbXiDQsToz/88NOhZXvBzy4/zMQ7hvb62h9+wdWoQJmLx/fcyXLtqFkvjoeYclZY/MgMk6yIDQTsyANCwOEQiGWL19uVFeW8EdGszClFD50P5SthP1tcMdF0PRK+l9XJMTY68JLAxtarv6g+qU4niVvUbdjGQ7l9KthVqA2qhvOW/4fTJkBu1+DZ3+a/OvEWnezamAXl0P58eN7rrFIYAK3sXkQGSdZEJqJWZCGhQFc16WlpcWorizhj4xnYfI0+NA/YO4a6NmjGheNlZl5bTEiI68LLa9B/TqwQrDyA8Oft3SgYbHlUUi2/E1V0L9fzd2Yfvjw502epoZVAjzzk+gy1snqbok2TM78TmYnbmuRJWeHb1gYmQfhC8mC0EzMgjQsDOB5Hm1tbUZ1ZQl/+JKFSSXwwXth3nFquc073gYNL2Xu9UVcRl4XKv+obpeeA0Vlw583/0SYMFXN4XmjKrnX0PtXzD9p+B4Rbfk7Yck5ahnr+69OvhEDajf6vm6Ys0o9nx8S6LEwMg/CF5IFoZmYBWlYGCAUCrFs2TKjurKEP3zLwsRi+ODf1S+EvR3wt8vH9kuaSJmMZcEJqyFwo73f4V54+S51vPrDI5+bVxBdBS7Z4VAH718xEr3x44SpqiflpduSe63dr8NLv1fHb/n+6A2ZdElgyVn5nBCaZEFoJmYh4Z23Kyoq6OsbfYLcYYcdRlnZCN9kiSFc16W5uZlZs2Zh+/XBJozgaxYKCuH998CNR6pJpDv+C4edktkyiIiMZaHiNnjoGlj9IXjrL4Y/77V/quFyhWWw+KzRn3fJ2eoxmx+B076cWFlcF3aOMnH7YCXlagjTQ9fAo9fC0vOgeG5ij33022o1piMuVHu8+KVk9B4L+ZwQmmRBaCZmIeGGxUUXXcSyZctG7G557rnn+NOf/sS73/3ulBQuV3ieR1dXFzNnzvS7KMJnvmehoBCOulhtdvbyndKw8FHGsqCHHm34Ayx6s3r/49nwB3W76gMQSuCjQ0/gbqiAfW1qsYDRtLyqlqjNnwKzV4x+vnbsFWoJ3IYX4V9fhEv/PHS1qoNtfRpq/6122j7rusRfKx30UKh9LWqFqgmTh5zi+7VBGEOyIDQTs5BwwwLgiSeeGPHnM2bMkEbFGIRCIZYuXep3MYQBjMjCyverhsWr/4Dzf6waGyLjMpaF2EnPD3wW5q5VvQCx9myDrU8BFqz6YGLPWzQHZh0NzRthy2Ow4j2jP2bnwDCo8uMSa7xodgje+nP49SlQ+5Da9Xu4BhKonpFHvqmO114O0xcn/lrpMOkQKChWwxD37lA7jB/EiGuDMIJkQWgmZiHhfhNrtG9/EjxHDOW6Lg0NDUbN6hf+MCIL5cdB6WK1Ms+m+/wrR47LSBacfmjboo5LF6vegr9/DFxn8Hl60vbC06PfridiydnqdvMjiZ2ve09GWmZ2ODOXwSlfVMcPfhl62oc/d+PdakO8gqLoTuF+O0TvZRF/OJQR1wZhBMmC0EzMQsJfCXmex1133TXizw8cOEBFRQVr165NSeFySW9vr99FEIbwPQuWBSvfB49/V03WXZ3gN9Qi5dKehT3bwO1XQ4/edzfccqqa4/DsjXDqNeocJwyVd6rjNaNM2j7Ykreo59rymGqs2CNMMPS8mInbCc6vONgpX4BN90Lr66r35ezvDW0I9feobOvzp0wf22ulWskCeGPjiBO4fb82CGNIFoRmWhYSbli85z3v4dFHH8WyrEHzLGL//s53vpOamhppWCTJtm0WLVrkdzGEAYzJwopL4Yn/p37JbKuDUgPKlGMykoXdr6nbGUvVe3z+T+C+T8CT18PCM2DeWtXb0P0GTJ4Oh1+Q3PPPOxYmlqhljBsqYP4Im8/t2apeJzRB7asyFnkFagL6beeooXyv/gNmLVc7hB9xAZStUJvhde5Sm+Ed/4mxvU466JWhhumxMObaIHwnWRCaiVlIqGHR2NjIz372MwAuvvhi7r33XgA6Ojr43ve+xzXXXMOsWbPSVshs57ou9fX1lJeXGzOrX/jDmCwUzVG/WNY9rnotzvyWf2XJURnJgp5fMeMIdbvivWpTu+q/wd+ugI8/o+bbAKy8FPImJPf8oTxYfKZ6vs0Pj9yw0PMr5qyG/EnJvU6s+cfDJX+AF3+jhlY1V6s///kRFM2LDpE689vje51UG2XJWWOuDcJ3kgWhmZiFUUvR29vLscceG/n7Cy+8AEB/fz/veMc7aGpqorQ0gdU+hBDBsur96rbqz0PH3Ivs0KobFgM7XFsWXHAjFM9XSw7/7aPR+RGrPjS219CrQ402z2KHXmY2gf0rRnPkW+Ej/4Rr6uDtv4ZlF0H+ZOhsgP59ULYSlr9r/K+TSgksOSuEEKYbtceioKCA+fPn88Mf/pDy8nIOHDjAXXfdxT/+8Q9aWlq4/PLLufvuuwc95n3ve1/aCpyNbNtmwYIkJkSKrGVUFg6/QG2c17kLtj2tliIVGZORLESGQh0RvW9SCbzzVrj9PNXLAGoX7BljXHlk8VmApeYPdDaq3rB4Utmw0CZPUz0tKy9Vcyu2Pg0N61Wj2ZBv9yIiu29vjzsfxahrg/CVZEFoJmYhoSvrW97yFu655x4effRRDhw4wMc+9jH+9re/UV5ezuOPP86jjz4a+fPYY4+lu8xZx3Vd6urqjJrVL/xhVBbyJ0a/1X15+IUbRHqkPQuuA62b1bHusdDmnxCdvA3JT9qONWV6dM7ElmE+HzqboH0bWLZalSwd8ifB4eeqYX3TFqbnNcbjkEPVsrN9XdHhZzGMujYIX0kWhGZiFhJqWKxcuZLjjjuO22+/neLiYhobG7nxxhtpbGykv7+fr33ta9x+++3cfvvt3Hbbbekuc1YqKCjwuwjCEEZlQQ+HqnkAevb6WpRclNYs7N0B4QOQNzE6DCfWqV+GZW9VS78e+bbxvZYeDlX7cPyf6922Zy1XvWS5KK8ATvuqOn7i/8X9/2bUtUH4SrIgNNOykFDD4uijj6a/vz/y96KiIq6++moqKytZuXIlJ5xwAt/97nfTVshsZ9s28+bNM2bijfCPcVmYs1oNkwkfUMt4ioxJexb0xO3pS+IvAxvKg/f8ES57cPyTnPV+FlufgnBf9H4nDJsfhedvVn8fy/4V2eTYK2D64bC/Df7z40E/Mu7aIHwjWRCaiVlIqCSLFy/m1ltvBeCmm26K3G9ZFl/84hd54YUXOPfcc9NTwhzgOA61tbU4jkyQzXXGZcGy1E7cAC/f6W9ZckzasxBvfkW6lK2EKTOhr1v1TjRVwb+/DjcugzvfBbsq1HlLz0l/WUwWyodz/kcdv3CLWup5gHHXBuEbyYLQTMxC0k2c8847b8h9S5Ys4bjj1LjY2J4NkRjLsigsLJSdy4WZWTjmPWCF1KTX3bV+lyZnpD0Luw9aESqdbDvaa/GXD6iN+Nb9Cva1wORSOO7j8LGnYdEZ6S+L6ZacpYaOuf3w8Dcidxt5bRC+kCwIzcQsJNSw+OAHP0hTUxO1tbWceeaZ9PT0sHXr1kF/Ghsb2bhxIxdddFG6y5x1bNumrKzMqK4s4Q8js1A4K/pLofRaZEzas5DJHguI9kb0dUGoAI58O1z6F/ji63D+j2DOysyUIwje8n2w86D2Iah7AjD02iB8IVkQmolZSGiDvC1btrB+/Xo2b1YriDz66KN85StfoaWlhbKyMiZNmkR+fj7z5s2TpWbHQHdlLV26lFAozlhnkTOMzcLK90Htv+GV/1Mbi8Ubky9SKq1ZcN1o71OmGhZHXKSG+UyYohoVk0oy87pBNGMpHHslvPC/asjYJ57FwUpdHl69H7Y/C+d8Xw2/EoFi7OeEyDgTszDmJs5VV13FMcccwxe+8AV+8pOf0NbWRl1dHR/60Bg3UcphlmVRWlpqVFeW8IexWVh6HkyaBl1NUPek36XJCWnNgt4ozs6HQw5L/fPHY9tw4qdhzUekUZGI07+i/s/troGXbk9dHurXw18vgxdvUft6iMAx9nNCZJyJWRi1YXHTTTfR3NzMAw88wDPPPENLS0vkZ7EVKS0t5b777ktLIbOdbdvMnDnTqK4s4Q9js5A3AY64QB1vf8bfsuSItGZBz68oXaxWfxLmmXQInPF1dfzk/2D3dow/Dz174W+XgxtWf9+7fbylFD4w9nNCZJyJWRi1JN3d3YTDYXp6eujr6xs089zzvEHn9vb2pr6EOcBxHKqrq42a1S/8YXQW5q1Vt00v+1qMXJHWLETmV2Rg4rYYuzWXwYxl0LMH98nrx5cHz4P7PwN7d0bv62hITTlFRhn9OSEyysQsjNqw+MY3vsHcuXO55JJLOPPMMykrK4v8TPdYWJbFnj17OOecc9i9e3f6SpulLMuirKzMqK4s4Q+js1C2Ut02VqpfUkRapTULmZ64LcYmlAfnquVnrYrfMS9vz9jzUPE7qLlfDX876h3qPmlYBJLRnxMio0zMwpj6wD3P4wc/+AF79+6lrq6OCRMmMH36dC655BK+853vcPPNN6e6nFnNtm1KS0v9LoYwgNFZmHkkhCbAgQ5o3wbTFvpdoqyW1ixkcqlZMT6L3gxLz8OqfYiSuy+GtVfAaV+BKUlk442NahI4wNnXQWEZbPq7NCwCyujPCZFRJmYhoUFZq1ev5thjj+XCCy8E4MILL6S6upr169fz4osvUlFRwWOPPcYnP/lJXnzxxbQWOBs5jkNVVZVRXVnCH0ZnIW8CzFqujhsr/S1LDkhbFjwvpmEhPRaBcNFNeIvPUnMjXrwFfr4SnrkR+ntGf2xvN9xzGTi9sPRcOOFTUFyufiYNi0Ay+nNCZJSJWRi1YfGtb32LD37wg5SVldHa2kpxcTGhUIjm5mYuvPBCnnnmGYqLi5kyZQoTJ07k+eefz0S5s4pt2yxYsMCoyTfCH8ZnYc4qdSsNi7RLWxa6mqC3U216WLootc8t0qNwFrz/r3S/40682ceo9+/x6+AXa+Dlu9TywcN58Bpo2wyFc+BtN4NlQfE89bPORnDCmamDSBnjPydExpiYhVGHQoVCIb75zW9y0kknsXPnTnbu3Mm3v/1t7rjjDo488kheeeUVXnnllUGP+e53v5u2Amcjy7IoKSnxuxjCAMZnIdKweNnXYuSCtGVBz6+YthDyClL//CItLMti6jEXwvLzYeM98MT3oKMe7vskPHU9lK1QPVAzjlBD3EqXwKv3QdVdYNnwrt9Fh09NnaXmWrj9qqFZUu5r3URyjP+cEBljYhZGbeJcfPHF1NbWMnfuXGbOnEl/fz+PPPIILS0tFBcXM3fu3CF/RHIcx2HDhg1GdWUJfxifhdiGxUjfkopxS1sWZH5FIEXy4Hmw4j1wVQWcdR0UFKuVnmoegP/8GP52Bfz6ZPifMrjvU+rBp38NFpwUfTLbhqI56liGQwWO8Z8TImNMzMKoPRZHH300vb29fPzjH+e///0vNTU1PPDAA2zfvp1f/epX/PznP+db3/oW733vezNR3qxk2zZLliwxqitL+MP4LMw4AvImQl8X7NkK0xf7XaKslbYsyIpQgTQkD/kT4eTPwdrLoKFCNRh3vzZwW6MWWQA47FQ45YtDn7BkPuzdIQ2LADL+c0JkjIlZGLVhYds2jz32GACLFy/m05/+NACHHnooP/7xj7nqqqv4wx/+wJ49e5g2bVp6S5ulLMuisLDQ72IIAxifhVAezD4aGtareRbSsEibtGVBJm4H0rB5mFgMi89UfzTPg+4WaN8OZceAHRr6OD3PoqM+LeUV6WP854TIGBOzkFAT5+ijjwZg1qxZnHvuuYN+Vltby9///nemTp3Kz372Mx5++OHUlzLLhcNh1q9fTzgsk+hyXSCyIBO4MyItWfA8aKlRxzIUKlCSyoNlqQnf84+H/Enxz4k0LKTHImgC8TkhMsLELCTUsCgsLKSoqCjy55RTTgHg1Vdf5Z3vfCe/+c1v2L17N9/97neZMWNGWgucjUKhEEcddRShUJxvlUROCUQWpGGREWnJwr7dcGAvYMH0Jal7XpF2Kc+D9FgEViA+J0RGmJiFhBoWhx56KJ2dnRx++OF0dnbS3d0NwK233srll1/OgQMH+P73v88111zD6tWr01rgbGRZFpMnTzZq50Thj0BkQTcsmqrANWfCWLZJSxb0/IpDDh3+m2xhpJTnQXosAisQnxMiI0zMQkINC13g2IJ/85vf5JxzzuGjH/0omzdvpqGhgWuuuSY9pcxy4XCYdevWGdWVJfwRiCxMXwr5k6F/H7Ru9rs0WSstWZD5FYGV8jzIJnmBFYjPCZERJmZhzNPIzz//fC677DIqKipobm7mH//4B3l5o84FF3GEQiFWrVplVFeW8EcgsmCH1Jr5AE0v+1qUbJaWLMhSs4GV8jzoHovezugKUiIQAvE5ITLCxCwk1BLYu3cvd911F3v27OGuu+7CsixOOukkHnroIc4//3xWrFhBaWlp5PyPfexjaStwtjIpFMJfgchC2UrY+byaZ7FClppOl5RnIbLUrDQsgiileZgwBSZNg549qtdiYnHqnlukXSA+J0RGmJaFhHos9u/fz/PPP09XVxfPP/88LS0tXH311axYsYJf//rXrF+/nueff57nn3+edevWpbvMWcdxHCoqKoza4ET4IzBZkAncaZeWLEiPRWClJQ8yzyKQAvM5IdLOxCxYnud5o510zDHH8Morr3Dssceyfv16jj76aE477TRaW1upqanB8zyqqqqMmjySqM7OToqLi+no6KCoqMiXMnieh+M4hEKhQP4bitQJTBZ218KvjoW8SfC1BrW/hUiplGdh/x740WHq+GsNUGDW2udiZGm5Nvz5ffD6v+D8n8BxV6bmOUXaBeZzQqRdprKQzO/KSc2x0IXOz8/nJz/5Cc8++ywXXngh3d3dfOhDH6K2tnbspR6ju+++m7Vr1zJv3jwOO+wwLr/8ct54442Ml2O8TGptCn8FIguli2HCVAj3QOvrfpcma6Wlt6K4XBoVAZXya4P0WARWID4nREaYloUxTd72PI8777yTs88+m+9///v09PTwjne8g4svvjijFbz//vv56Ec/yk033URDQwMbN27kwIEDnH/++RkrQyo4jkNlZaVx4RCZF5gs2LaaZwEyHCpNhs1CTzv89ix47LrknlDmVwRaWq4NJbIyVBAF5nNCpJ2JWUioYfH666+zcOFCXnnlFRYuXIhlWVxxxRX89re/BdRyVxdffDGrV6/m5z//eVoLHOuhhx7irLPO4k1vehMAU6dO5Stf+QqVlZXs2bMnY+UYr7y8PE444QRZVUsEKwtzVqrbxpcz95pOWA3pyQHDZmHTvdCwHipuS+4JZanZQEvLtUF6LAIpUJ8TIq1MzEJCDYuWlhYqKytpbm6msrKS//znP0B0Jrq+/da3vkV+fn6aijrU2rVreeGFF2hsbIzcd//997N8+XKmTZuWsXKMl+d57N+/nwSmu4gsF6gs+DGB+//eDzccAR27MveaPhk2C689qG4P7E1umVDpsQi0tFwbZC+LQArU54RIKxOzkFDDori4eNCfqVOnDvr5tm3bAFi6dClXXXVV6ks5jMsvv5zPfe5znHjiiVx55ZWccsop1NfX8/jjjw/7mN7eXjo7Owf9AXBdN3Ib79hxnISO9ZsbexwOh4cce54XOQ6Hw2zcuDHyGL3RiZ6Uc/Cx67oJHftZp4PrIXVKrE79/f1s2rSJ/v5+8+s0e2Avizc24vb3ZuZ9qn8BnF68pipf36dMZE9fF2L/zoFOvG1Po3nt2xOv00CPhVO6xLc6ZeP7lKk6OY5DdXU1/f39qavTQI+F19UITr+8TwGpU19fH9XV1YTD4aypUza+T0nXacfz8MbGpOo00nUhHXVKxJg3yIs1adKkVDzNILt372bevHnD/rnxxhvp6elh69atLFy4kGOPPZY1a9bw5JNPjrjk7fXXXz+okVRerr6x2b59OwD19fXU19cDqsGke0Pq6upobm4GoLa2ltbWVgBqampob28HoLq6mo4O9Q1iVVUV3d3dAFRWVtLT0wNARUUFfX19OE50iTDXdfE8j7y8PHp6eqisVN8Ad3d3U1WlfoHq6OiguroagPb2dmpqagBobW2NTJpvbm6mrq4OgMbGxkiDz4869fX1UVFRASB1SqJOTU1NHHvssdTX15tfJ7cQJ38qOL20vfbf9L9P7bvV/AKgb0+9b+9Tx4PfpePB76WmTiO8T5Zl4XkelmVF67TlMSynD+1A0+sJ1WlL9QboUuXc1jUhve+TQf+fsqlOeXl5zJo1i6amptTVacpMXDsfy3Ohq0nep4DUqbKykhUrVmBZVtbUKRvfp2TqtK9lO9YdF8EdF9Gxtz3hOuXl5TFnzpxIPdJdp0QktNysqa688kpaW1v5+9//Hlmx6sUXX+SUU05h06ZNLF68eMhjent76e3tjfy9s7OT8vJy2tvbKSkpibTcbNsedOw4DpZljXps2zaWZQ06DofDkaXA9DGoFmEoFMLzvMhSXvr+vLw8PM/Ddd3IOfpYN0RGO45Xj0zV6eB6SJ0Sq5PnqW7NyZMnJ1QPv+tk/eFtWNv/g3vhTXirPpje96l9G9Yv1wDgnfZVrDO+lvn3qX4d3H6eunh8ZgPuIYelLXv6ulBUVBQ5P+++j0P1XyPXL+8t/w/3+E+NXqfGSkK/fTPelBm4X3g9Z/4/ZVOdLMuis7OTqVOnDqnreOrk3bQSq30bXPYQ4bnHyfsUgDr19/fT09PD1KlTI2UMep2y8X1Kqk6vP4T1Z7XZrPelLbiTpiVUJ9u2h70upLJO+/bto6SkJPXLzZrmv//9L6eddtqgtXuPO+44pkyZwoYNG+I+pqCggKKiokF/QP3D69t4x6FQKKFjXZbY47y8vCHHlmVFjj3PY+vWreoXtYH7QX2Q6CDGHtu2ndCxn3U6uB5Sp8TqBLB58+ZBfze5TtZcNc/Cbno5/e9Tl/qmFsDqbvbnffrPTyJlYMtjac2evi7oXos8XNj8iHrtBSereuzdmVid9u5Q50xbmFP/n7KpTq7rRr51TWWdrJgJ3PI+BaNOtm2zZcuWyEiHbKhTNr5PSdUpZq6i1dWUcJ1Gui6ko06JCHTD4owzzuCWW26J/CLW19fHtddeSzgcjqwUFQShUIjVq1dHAiNyV+CyoCdwN72c/tfqjC7SQJcPe9U0VkJdzPytzY+m9eWGZGH7M9DbCVNmwvJ3qPvadyT2ZHu2qtuBHhYRPGm7NkQmcNen9nlF2gTuc0KMLnYRlCQ+30zMQqAbFjfeeCOXXnopF110EfPmzWPBggVUVVXx9NNPM3fuXL+LlzDP89i7d29Sk2NEdgpcFnTD4o1qCPeOfO54dcU0LLp9aFg8c4O6nbNa3W5/BvoTH3earCFZeH1gNajDz4NpAw2EvYk2LNSYYqYtTG0hRcak7dogS84GTuA+J8TIPA92xYyyiemdH/2h5mUh0A2LgoICvv3tb/Paa6/R0NBAU1MT9957L6tWrfK7aElxXZcdO3ZExsOJ3BW4LJQsgIkl4PZDy6vpfa1BPRbN6X2tg7W8BjUPqOO33wyFcyB8ALb/N20vOSgLrhtdZvaIC9W/O8DenepDaTTt0rAIurRdG3TDYq/0WARF4D4nxMg6GmB/a/TvSfRYmJiFQDcsskUoFGLFihVGdWUJfwQuC5aVuf0sYhsW3c3gZnCn0Wd/qm6PuBBmLoMlZ6m/b0nfcKhBWWiqVD02E6bCYacO/DJoQf9+2Ld79CfTQ6GmyVCooErbtUF6LAIncJ8TYmSNB80Jju2dH4WJWZCGhQFc16Wtrc2oFqfwRyCz4EfDwnNgf1t6X0/bsw023qOOT/miul18trpN4zyLQVl47V8Dr3sW5E+EvAIomqPuG22eRd/+aNe69FgEVtquDSXz1W1HfWK9X8J3gfycEMPTn515A1s3JNljYVoWpGFhAM/zaGpqMmqMnPBHILPgR8MCMjeB+783qYbMojfD3IH5FQtPBzsP9tRFewPGwnWg8k/RORAxBmVBNyyOuDB6QmQ41CgNi/bt6ragGCYdMvayCl+l7dpQNDAfsa87uZ3chW8C+Tkhhqc/OxedoW6TnGNhWhakYWGAUCjE8uXLjerKEv4IZBbmrFS3LTUQ7hvx1DFz+tXwJ4Cps9VtdwbmWXQ2wct3quNTvhS9f2IRlJ+gjjc/Nvbnr7gN/vFp+P0FsK910I8iWdi7HXa/phoyS86OnnDIQMNCNxyGE5lfcZgauiYCKW3XhgmTYXKpOpbhUIEQyM8JEZ/nRRsWh5+vbpNcFcq0LEjDwgCu69LS0mJUV5bwRyCzUFwOBUXghqFtS3peo7sZ8MDOh9nL1X1JfKszZs//Epw+mH8iHHrQEtbjnWfhurDuZnXcuQv+fuWgeSORLNT8U91x6CkwqST6+ER7LGR+RVZI67UhMs9CJnAHQSA/J0R8e7aqnsJQgeoVB+huUV+mJcDELEjDwgCe59HW1mZUV5bwRyCzYFkw43B1vLsmPa+hh0EVlkHhQI9FuleG2temehQgOrcilp5nse0Z6D+Q/PPX/lt9qBQUQf5kqHsCnv5R5Mc6C9brehjUBYMfH+mxGK1hIStCZYO0Xhsie1lIj0UQBPJzQsSneytmH60+3+w8wFONiwSYmAVpWBggFAqxbNkyo7qyhD8Cm4WZy9RtS5obFkVz1MUX0r+XxQu/Vqsula1Qk6YPNuuogWVne2DHs8k///O/UrdrL4MLB1adevqHsEUNrQqFQiwrL8Wqf1H97PDzBj8+6R4LaVgEWVqvDbJJXqAE9nNCDKUbFnNWgW1Hh/omOBzKxCxIw8IAruvS1NRkVFeW8EdgszAjUw2LMpg6Sx2nc/L2gU548RZ1fMoX489NsCxYfKY6TnaeRePLqjFi58FxH4cV74U1lwEe/O1K2FuP67rsffEv6r45q6LDVTTdY9HRMPLSu3qOhey6HWhpvTbIkrOBEtjPCTGU3hhPLwwS6ZFPbKiviVmQhoUBPM+jq6vLqK4s4Y/AZmHmEep292vpeX69rnfR3JgLbxobFhvuUONepy+FIy4a/jw9mTrZeRZ6bsWRb4figVV5zv2B6h3p2QP3fAQv3EvelofVzw4eBgUD3eb5am5L5674rxPuU5vogfRYBFxarw3SsAiUwH5OiMFcB5qq1LFeXTHJhoWJWZCGhQFCoRBLly41qitL+COwWZh5pLrds3Vs8w1GE3coVBrnWGx7Rt2uuUx1Tw9HLzvbtiXukrFxdTZC9d/U8Ymfjt6fPxEu+QNMLIZdFYQeuoapzevVz2KXmdXsEJQMDGEZbp5FRz14rlofXX9giUBK67VB5lgESmA/J8RgrbXQvw/yp6gvsSC6P1GCDQsTsyANCwO4rktDQ4NRXVnCH4HNwtRZMLFE/RLbWpv65+8cuMgWHjQUKl3f0rS8qm71UrrDmVgM5cer4y0JDod68VbVyzD/pGj3t3bIoXDxwBCsyj+C04s3bSHMOCL+c402zyIycVuWmg26tF4bdI9FV1PCq9EI/wT2c0IMpudXlK1QXxRB0j3yJmZBGhaG6O3t9bsIwhCBzIJlRSdwp2M4lB7qUzQ32rBw+2H/ntS/Vs/e6CRWXaeR6IndiezC3bcPXrpdHZ/4qfjnHH4enPz56N+Xnj98o2C0laH0xG2ZX5EV0nZtmDJDLXfpuUM3ohRGCuTnhMn+9UW49c3Q35O519QNi9gvmHSPfBL/D03LgjQsDGDbNosWLcIeaciFyAmBzkJkZahXU/u8nhftFi4qg7wJMGma+ns6VobSE9CL5ia2U7WeZ7HtP6MPA6v6M/S0q54JvRlSPGd8U61pbudjrbx0+PNG67GI3RxPBFparw22HZ3rI8OhjBfozwkThfvgpd/DrpfUwhqZoidu6/kVEG1YJNhjYWIWzClJDnNdlx07dhjVlSX8EegsRFaGSnGPxf42tUkdVnQpviQvvklp2aRuZx2V2PmzlqvyhHtg53PDn+e6sO5/1fHxn4x2fccTysN93z3sfO+TuHr+SjyJ9ljIxO3AS/u1QSZwB0agPydM1LZFDU+F6DUz3Zx+eGOjOo7bsEh8VSjTsiANCyFEakRWhkrxkrN6GNSUGaq3AqAwjUvONg/0uIz0C32sRJed3fyI+gArKIZV70/geW28gqKRzyk5VN0mMsdCiJHIXhYiV8X2srcnuAhHKl7T6VXz9GK/+NFzLA7szeywrBSShoUBbNtmwYIFRnVlCX8EOgv6F/H2HWouQaroidt6tQyI9lykYyhUc5I9FhDdhXukZWfXDWyIt+bDUFA46lMmlAXdY9HVNHQYlutC+3Z1LD0WgZf2a0Okx0IaFqYL9OeEiWL3X8pUj0Xsxnixc+gmFqtV/CChXgsTs2BOSXKY67rU1dUZ1ZUl/BHoLEyZDpOnAx7sfj11zxs7cVuLrJyR4iVnPS/6IZNojwWoZWetkFoRK96wpKZX1BwMKwTHfzyhp0woC5NL1VKFMPQXwq5G9Y2YnQdF84Y+VgRK2q8NMhQqMAL9OWGi2AVHEl02fLziza8A1cgoSnyor4lZyPO7AEIpKCjwuwjCEIHOwsxlsP0ZdaE+eCnVsYrddVsrTFOPRUcD9HaoX8b1uuKJmFSilp3d+Rz89bLoOFmtdbO6PertQ3fQHsGoWbAs1WvR8qoaDjV9SfRn+pu3kgUQkkt9NkjrtUH2sgiUQH9OmCZ2KFTGeyzifE4WlqlyJDjPwrQsyKeNAWzbZt48+UZRZEEWdMOiJYXzLLriDYVK0xwLPQxq+tLofI5EHXG+aljsemn4c2I3xBtFwlkoGWhYHNxTEpm4LfMrskHarw2xDQvPk31PDBb4zwmT9O0f3EtxYK9auS+RFQHHqv9AzF5Jq4b+PIm9LEzMgjQsDOA4DnV1dSxatMio3RNF5gU+C3ojt1Q2LPRQqMKYhkW6VoXSK0IlMwxKO+5jqly9nfF/Pm0hzF2T8NMlnIVDhllyNjJxW+ZXZIO0Xxv0crN93eqXq3T+YiXGJfCfEyZpfR3w1DBeOwTdzeraOXec+W/drIYHx/t/1FytVqGaMiN+D3YSe1mYmAVpWBjAsiwKCwux5BuinBf4LKRjk7x4k7f1qlDdzan9dlWvCJXMxG0trwCOfldqykESWSiZr26H7bGQhkU2SPu1IX+S+uVqf6vqtZCGhbEC/zlhEr08+sxl6pf97mZ17RzPUN4tj8Od71L/h95/z9AvlGLnV8R7D5P44szELMjkbQPYtk1ZWZlRs/qFPwKfBd1j0VEPB4b55j5ZkTkWMZO39apQ4QPq29VUaRlHwyLFEs7CcJvk6WUTZdftrJCRa4P+9nSvrAxlssB/TphEX/NnLoteK8ez5Gzffvjn59Uu9vvb4PcXwZaDliEfaX4FJD0UyrQsmFOSHOY4DjU1NTiO43dRhM8Cn4XJ06K/9KdiZagDndDXpY5jJ2/nT1TL8kHqVoYK96lVnWBsQ6FSLOEsxNskz/NkKFSWyci1oUQmcAdB4D8nTBJZBXBZ9Fo5npWhnv6B+pKnaJ5aLbB/H9z1Hqj6v+g5sUvNxpPEJnkmZkEaFgawLIvS0lKjurKEP7IiC6ncKE9fWCcWw4Qpg3+mL76pWhmqtVZ1hRcUJ7VyU7oknAXdY9GzB3oHGmH7WtVYeaxow0MEWkauDcNtkue6asy4HsIhfJUVnxOmiF1eXC90MdaGRdMr8Nwv1fEFP4H33QPL36U+V+79GPz359DbPTCvg+EbFkUxDQvPG/ElTcyCzLEwgG3bzJw50+9iCANkRRZmHglbn4qOXR2PeBO3tamz1FyOVPVYRIZBHWnEijgJZ2FikRrL29Ouei1mL4/Oryiep+Z+iMDLyLVBN6ibqmDDH+GNV9QvS29sVN+8Arz7DrVssvBNVnxOmOBAB3QO9M7NOAJC+ep4LEvOug48cDV4Dhz5Njj8PHX/O26FqTNh3c3w6LfUZ6PnqqG9eq7gwXSvf/9+tRiI7p2Pw8QsSI+FARzHobq62qiuLOGPrMhCZGWoV0c+LxHxJm5rkXGoia31ParmanVrwDAoSDILB8+ziMyvODQtZROZl5Frg25YbHsa7r8KXvwN1K8baFQMNLY33JG+1xcJyYrPCRPo4bqFc9ReRHqORfcbaq5EMl68VQ1xKiiG834Uvd+24Zz/gbO/q/5e97i6Ha63AmDC5JihviP3yJuYBemxMIBlWZSVlRnVlSX8kRVZSOXKUPE2x9Mim+SlqMeiOabHwgBJZeGQBdD0cnSehawIlXUycm2YfyJMmal2bJ99DJStiN7aIfjlWvWNa3eL+hZW+CIrPidMEDtxG9QcwYnFqiejfXvinwV76+HxgYbD2ddGP5s0y4I3fVb93/rHp1WvxmirThWWqXJ0NcGMw4c9zcQsSMPCALZtU1pa6ncxhAGyIgu6x6KrafwbDemhULErQmlTE185IyGRoVDLU/N845RUFg7usZCGRdbJyLVh6kz40sACBvF+UZm7FnZVQPXf4YRPpLcsYlhZ8TlhgtiJ29q0harnYc/WxBoWngcPfkn16pWfAKs/Mvy5Ky9VX5JV/x1Wf3jk5y0sU1/OdY7cI29iFmQolAEcx6Gqqsqorizhj6zIwsQitSIGjH+eRbxdt7XCFO6+3dMebcTEfsj4KKksHLwyVGRFKFlqNltk7NpgWcPPMTrmEnW78e70lkGMKCs+J0xwcI8FJL/k7Kv/gNp/g50PF92khj6NZOHp8Nafq83zRpLgylAmZkEaFgawbZsFCxYYtQ6x8EfWZCFVK0ONNHk7latC6WFQxeUjTpTLpKSyUHKoupUei6xlxLXhqIvBCsGul6Ctzr9y5DgjspANYjfH0yJLziYwgbtnLzz0FXV8yhein3upkOBeFiZmwZyS5DDLsigpKTFqjJzwR9ZkQV+ox9tjMdLk7am6xyIFcywi31yZMb8CksxCbI9Fz1619CzI5O0sYsS1YepM9Y0rwMZ7/CtHjjMiC0G3rxX2tajjGTENgmSWnH3qevXFVuliOPkLqS1fpMeiccTTTMyCNCwM4DgOGzZsMKorS/gja7IwQzcsxrEyVP8B2N+qjkdaFap/X3T/hrFq3qRuDdhxW0sqC3r/gf59agw8qImCBYXpK6DIKGOuDXo41Ct3j7rGvkgPY7IQZHp+RcmCwXskJdpj4XlqrgTAOderTVtTKbKXxeirQpmWBWlYGMC2bZYsWWJUV5bwR9ZkITIUahw9Fnpsad7E+BPAJ0yBCQO/OI93noWBDYukspA/MfoNV92T6lbmV2QVY64NR1wAeZNgT110B2GRUcZkIchiN8aLpedYdDSA0z/849u3qR6P0AQ47NTUl68wsYaFiVkwpyQ5zLIsCgsLjerKEv7ImizoruV9u1WX81jETtwe7t8jwXGoI/K84T9kfJR0FvTKUFufVrcyvyKrGHNtKCiEI85XxzIcyhfGZCHIdsdZEQrUZ0reJLUk7N6dwz9+5wvqtmxl6nsrdDlAfba57rCnmZgFaVgYIBwOs379esLhsN9FET7LmixMmBL9RbdljBO49R4W8SZua6nYy2LvTujrUqt6TF8y9udJsaSzoOdZNG9Ut9KwyCpGXRuOHhgOVf03teOwyCijshBUw32ZZFmJzbOoX6du5x+f+rLBwBxCC9x+2N827GkmZkEaFgYIhUIcddRRhEIhv4sifJZVWRjvRnmRzfFGaFhEJnCPY/dtPQxqxuEQyh/786RY0lnQDTntEBkKlU2MujYsPhMmTVMN+m1P+12anGNUFoLI82IW7IizklMiS87qHov5J6a2bFooH6bMUMcjfL6ZmAVpWBjAsiwmT55sVFeW8EdWZSGyMtQ4eyzi7bqtpWIoVMtAw8KgYVAwhiwcclDDQnossopR14ZQPhz1dnX8igyHyjSjshBEXU1qV2srBKVxeqkjPRbDTODevyc6lKo8TT0WkNDnm4lZkIaFAcLhMOvWrTOqK0v4I6uyMGOcDQu9zF68Xbe1VAyF0ntYJLLLagYlnYWDeyxk8nZWMe7aoIdD1TwA/T3+liWTnv0pPPdLX4tgXBaCRvdWlC6KPz9itKFQDesHHr949I3uxiOBTfJMzII0LAwQCoVYtWqVUV1Zwh9ZlYXYTfLGsixlZI7FCD0WU1PRY6EbFsvH/hxpkHQWYnssJhbHX0lLBJZx14by46F4vpqfVPtvv0uTGV3N8Ni18Mg3obfbt2IYl4WgibcxXqzRlpzdOTC/ovyE1JbrYEWjNyxMzII0LAxhUiiEv7ImC9OXgmVDTzt0tyT/+M5Eeiz0HIsxNizCvdC6WR0bNhQKksxC4RzVtQ9qjLBBXeMiNYy6Ntg2HP0udZwrw6HaBq4VeNHN1XxiVBaCRveizximYRGZY7E9/opM9Xp+RRqHQUFCPRZgXhakYWEAx3GoqKgwaoMT4Y+sykL+pOgFeneSw6FcJ9pYGGnytr7wjnUo1O7X1bKCE4tHfh0fJJ2FUB4Uz1PHMr8i6xh5bdCb5W1+RI07z3b6SwiA7t2+FcPILARJZOL2MA2L4nKw88DpHfpLfbgPdr2kjtPdY5HAHAsTsyANCwOEQiHWrl1rXKtTZF7WZUFfuDc/mtxwqO4W9Qu/FYKpM4c/T68K1dsJffuSL1/sMCjDvuEfUxb0cChpWGQdI68NM5fBrKPVkpiv/sPfsnhe+ncCb9sSPfaxx8LILASF60ZXKhyulzqUByXz1fHBw6HeeAXCB9SqaOlenjyBHgsTsyANC0OY1NoU/sqqLOgdSZ//JfzhbcOPWT2YnrhdOBvsES6YBYWQP3ngMWMYDtVcrW4NHAYFY8jCkreonWAXnZGeAglfGXltOObd6tbPzfLa6uBHh8GDX0rv6wzqsRjHghEpYGQWgqBjJ/TvV9fJkb6AGW7J2Z3Pq9v5J6T/yyjdsOgceSiUaVkwvmHR0NDAzTffzKpVqzj99NPjnvOvf/2LNWvWUF5ezvLly/nHP3z+5iRJjuNQWVlpXDhE5mVdFo79KJx1HeRNVOvd33wiPPszcEZZwSKRidugLuzjWRnK0BWhYIxZOOkz8LVdcOjJ6SuY8IWx14Yj365ud65Tc5b88Mrdai7X+t+q3tF0aTNnKJSRWQgCPb9i+lLVMzGc4SZwRyZup3l+BUQ///btBqc/7ikmZsHohsX+/fs59dRTqaioYO7c+BM4n376ad73vvfxi1/8gvr6em655RY+9KEPsW7dugyXduzy8vI44YQTyMsbIeQiJ2RdFuwQnPw5+ORzqvcifAAe+w7cejo0Vg7/uEQ2x9PGszJUZKztUck/Ns3GnIW8CekpkPCVsdeGkvlqjpLnDP5GP5O2xDQm/vmFsQ2LHE24D9p3RP/u41AoY7MQBKPNr9DiLTnreTETt9M8vwJgcinY+YA37AIoJmbB6IbF5MmT2bp1K7fddhtr166Ne87/+3//jw9/+MOcdNJJALzpTW/iwx/+MD/+8Y8zWdRx8TyP/fv346V7fKgwXtZmoXQRfOh+eNvNMLEE3tgIt75ZLd0Yb9WNRFaE0vTKUMn2WHS3RMeujvYh44OszYIYE2PzYFkwQy8t/VrmX39fK+zaoI6nzlZDXZ66PvWv075NNZ60sax0lyLGZiEIdI/FqA2LOD0We7aq3oPQBChbmZbiDWLbMRO44w+HMjELRjcsRtPf388zzzzDhRdeOOj+iy66iIceesinUiXPcRw2bdpkVFeW8EdWZ8GyYNX74ar1sPyd4Llqs6nHvjP03ER23dYSXJJviMe/q25nHw0Ti5J7bAZkdRZE0ozOg58Ni7onAE9NIn/rL9R9z98MTVWpfZ3YidugfsH0idFZMF3LKBO3tdglZ/Uv7bq3Ys6q+BvrpcMoDQsTsxDohkVbWxu9vb3MmTN4uMScOXPo6emhvb19yGN6e3vp7Owc9AfAHfjW1HXduMeO4yR0rFuNscfhcHjIsed5kWO9wUleXl7kflAtUR2W2GPXdRM69rNOB9dD6pRYnWzb5thjj8W27ayp05DjqTNxLr4V96KBXwKe+znu8zcPrtPARdQrnDN6nQZWhnI7mxKvU92TUPlHwMI994dGZi924yP5/yR1ysvLY82aNdi2bV6ddMOipWb871PLa3Drm3Fe/Wdiddr8iHrsojPxlpwNR10MnoP3wGfBdVL2Prm7a9X9eknn7hbfsgdEVgKS/09J1MkJ47W+rv4BZxwxcp2Ky9V5vZ24+1rVOTsGJm6XH5+xOnkxQ33j1Wmk60K6sjca3xoWu3fvZt68ecP+ufHGG0d9jvz8fIDIP6hmDczUj/cPcf3111NcXBz5U16uwrN9+3YA6uvrqa+vB2Dbtm00NqpvTuvq6mhuVkMtamtraW1VQaupqYk0YKqrq+no6ACgqqqK7m61M2dlZSU9PT0AVFRU0NfXh+NE1x7u7e1l3bp1eJ5HT08PlZVq7Hl3dzdVVepbl46ODqqr1Qo27e3t1NSo7rzW1lZqa9UFr7m5mbq6OgAaGxvZtm2bb3Xq6+ujoqICQOqURJ127txJV1dXVtVp2Pdpztlw5rcBsB7+OlT/PVqnzl2qHHbRqHUKTywFoLNxc2J16tuH+4+rAOC4K2kvPMLI7IXDYdatW0c4HJb/T1InPM9j8+bN7Ny507g67ZsysDTn7tfG/T71PPYj2PUS4X9/g+Y33hi5Thur8DY/BsAW61BVp3N/SDhvClZjJbz4m5S9Tx116vzeWWtUXfft9jV7e/bsIRwOy/+nZOq0ZyuW04cbmgglC0au057OyFDcvVvVULu+Lf9R7/38EzNWpwMTDlGv2dUUt06e51FXV5ex9ykRlmfSwKwRXHvttTz11FM89dRTg+6fNGkSDzzwAGeddVbkvscee4y3vvWt7N+/f8jz9Pb20tsbXbmis7OT8vJy2tvbKSkpibTcYr8xtm0bx3GwLGvUY9u2sSxr0HE4HCYUCg06BtUiDIVCOI7Dyy+/zKpVqyLPo3svXNeNfGOpj13XjXyjOdJxvHpkqk76WNdD6pRYnRzHYePGjRx99NGEQqGsqNOI75Nl4f7rS9gVv4XQBJz3/RXr0JOxr58D4QN4V7+MNe2wkeu04xmsP74db/rh8OkXRq/To9+EdTfjFc/D+tQ63PwpRmZPXxdWrlwZ+bv8f8rdOnmex8svv8wxxxxDfn6+WXXqbMS6cRlYNu7XduGFCsb2PoX7sG44HKtHbbbnXvEYdvmxw9dp5wuEbnsLFBThfHEzdn6Bqt+LvyP04BcgfwrhTzxHaNqCcb9P1u3nYtW/gHvhz7D/+TlVvq824OVPznj2+vr62LhxIytWrACQ/0+J1um1++Gej+DNWY31sSdHr9MdF8GOZ3EvvgV7yVvUksYA12zFmViSmTr95wbsJ74LK96H+7ZfDakTMOx1IZXv0759+ygpKaGjo4OiopGHDpszjXyMzjnnHB588MFBDYuHH36Yc845J+75BQUFFBQUDLlf93rE9n7EHsduPpLscexs/XjHeXl5gyan6/sty4o8T+zxcGVM9jiddTq4HlKnxI5t22b16tXECnqd4h3HltE+/0dqhZWa+wnd/UG49C61ehRgDcyfGLFOA+dY3c2RdcWHrVPjBlj3v+rvF94EBYWDum1Nyt5I1wX5/5SbdVqzZo2ZdSosUytDHejA3lOn5i2NoX72zudgoFEBYL/yf1B+7PD1qHtCHSw8ndCE6Jj30NrLYOPdUL+OvIe/Cpf+GWLKDpDX3Qg7nsMqW0HewETeEd+ngTkW9tzVavns8AHs/a2R1YMymb0JEyYMysLB58j/pzjHTa/Av7+uHlN2TGJ1mnYY7HgWu3071L+o7itdAlNKid1dKa110isjdjUlfV1I5fukRwIlItBzLAC+9KUvcdttt/HCC+qbyueee47f/OY3fOlLad4oJ4U8z2Pv3r1JjWET2Skns2CH4B23wvyToLcD7rxE3T+5NLEJcnpVqAN7of/A8OeFe+H+qwAPVlwKS84a/lwD5GQWxLCMzoNlwYyBVXZ2vz7259G7d5cO7Ghc/Ve1zOtw9DKzS94y+H7bhotuUkt11j4ENferJWhrH4YHvwy/WAM/Oxru/TjcdcnoO3bv3wP72wbKthimzFTHPk3gNjoLJnr9IbjtXLXx6vTD4dQvJ/a42CVn6we2MJifgf0rYhWOvJy6iVkIfMPi5JNP5vbbb+eKK65g7ty5fOxjH+P3v/89b3rTm/wuWsJc12XHjh2RbiuRu3I2C/kTVU/FjGXQP7AGfSJ7WIBavjY00As50pKzz9ygVq2ZMgPO+Z9xFTcTcjYLIi7j8zAzOoF7TFwHah5Qx+f8j1o6tqcdBiZnDxG7zOziOF8SzDwCTv68Or73k/DDQ1Uj4sVbVO+DFQIs2LsTOupHLpteEapoLkyYAlNnqL/7tOSs8VkwhefB87+CP1+qPlcWngFXPALFCSxjDoOXnN05sCJUeQb2r4g1yqqHJmYhMA2LawfmWMRz8cUXU11dza5du6iurubiiy/ObOHGKRQKsWLFikFdTyI35XQWJh0CH/grDKwEldAeFjB49+3hNsl7o1o1LADO/wlMnja+smZATmdBDGF8Hsa75OzOdaoHYGIxLDwdjhnouaz6c/zzY5eZHW5Z6lO+qHoY+veB06c281tzGbznT/CVbTBnpTqvYf3IZdMNi9LF6nZgJTq/NskzPgsmcPrhX1+Ah78OeOp9f/89MKkk8efQS862bYZdL6njTGyMF0tn+8Be6B86gdrELASmYZHNXNelra3NqBan8EfOZ6F4HnzwXjj8Ajjhk4k/TjcsuuM0LJywGgLlhuGIC+HIt6WmrGmW81kQgxifhxnj7LHQw6AOv0DtHr/iUvX32odhX9vQ8zfrYVAjDGnMnwgfvE9tzHnVS/DZV+Cin8Gyi1QDZt6x6ryGipHLpncU1w2LKbrHwp+hUMZnwW89e+HOd0PFbYClesAu/CmE8pN7Hj0UqqcdnF41PFdnIFMKiiB/sjqO02thYhakYWEAz/Noamoyaoyc8IdkATWE4dK71LeWidLfIHYdNBSqswn++TlorISCYrjghsgEb9NJFkQs4/OgdzJu3zbyXKd4XFfNg4Bow3/WkVC2Atx+2PT3oefXPa6OF5898nOXlKuNOacvHvp/P9KwGK3HYqBhMX1g7sfUgTkWIw29TCPjs+AnJwx3XARbn4T8KfDeu+DET4/tuj+xWDUmtPITMv/5MUqPvIlZkIaFAUKhEMuXLzeqK0v4Q7IwRgePQ22rg/uvhpuOGdgIDzj3+ugFOgAkCyKW8XmYOkvNd/Lc6C/iidpVof7vTiiERWdE79e9FgcPh2qsVJOpC4qg/Lixl3newKprTVVqcYfhtOqhUAMNi8jkbf+GQhmdBT+9/i944xWVxcsfgiPOH9/z6eFQkPmJ29oI8yxMzII0LAzgui4tLS1GdWUJf0gWxkivDNWwHu7+sFr1ZcMdalz1/BPh/X9V31oGiGRBxDI+D5YVMxwqyXkWkWFQ50JezHLwy9+lJlnvegkGdr4GoqtBLTw9+eEtsQ45TH0j7fSp5UjjcR01eRdUrwfETN72byiU0Vnw0wu/UbfHflT1eI2XnsANmZ+4remGRWf8oVCmZUEaFgbwPI+2tjajurKEPyQLYzR1oCdi+zPw6n2AB0vPhcv+DZf/G5aMMlzCQJIFESsQedArQ+1OYp6F50UbFgfPf5o6I/p/N7bXIjK/Ypz/ry1r9OFQe3eq8fWhAiguV/f53GMRiCz4oXkT7HhWNUbXXp6a59TzLEIF0cn+mRYZCjW0YWFiFqRhYYBQKMSyZcuM6soS/pAsjNGMw9WtFYJj3gOffA7e93+w4ER/yzUOkgURKxB5GMteFo0b1HKv+VPiLxurh0O98n9qbsW+1ugKPfHOT5YeDjVcwyKyItQitecOROd0+dRjEYgs+OHFgd6KZRcmvqTsaPTcofLjBvemZVL5cXDMe2HOqiE/MjELgd95Oxu4rktzczOzZs0atFOiyD2ShTGauwYuf1jtfVEy3+/SpIRkQcQKRB7GspfFqwOTtpe+BfInDf350nPVJNrOXapHsruZ6DKzCe51M5J5A3M0hlsZ6uClZiE6FKqvSy0BGq/caRSILGRaTzu8crc6Pu7jqXveZW9VS5QvenPqnjNZR75t2NUMTcyCGaXIcZ7n0dXVZVRXlvCHZGGMLEutL54ljQqQLIjBApGHGUmuDBU7DGrZW+Ofkz8RjnqHOq76c2LLzCZj7mrAgo6d8ffBOXipWVCTxiObcmZ+OFQgspBplX+C/v0wazksOCl1z2uH4LgrVY+VgUzMgjQsDBAKhVi6dKlRXVnCH5IFoUkWRKxA5GHqzOjKUK21o57OGxtVIyRvIix5y/Dn6eFQr94PWx5Tx6MtM5uogkKYeaQ6jtdrcfBSs6C+yIgsOZv5hkUgspBJrgPrf6uOj7syMEuKp4KJWZCGhQFc16WhocGoWf3CH5IFoUkWRKxA5MGyomPSE9mBW+9dsfgsKJg6/Hnlx6nVefr3Qc+e8S8ze7CR5lkcvNSspjfJ82ECdyCykEmbH4X27apRe/Qlfpcmo0zMgjQsDNHbO8Ia2iKnSBaEJlkQsQKRB73k7GgNC8+DTfep4yPfPvK5lhXttYDxLzN7sOF24O7thq5GdTz9oB2XfeyxgIBkIVNevEXdrv4gTJjsb1l8YFoWpGFhANu2WbRokTETb4R/JAtCkyyIWIHJg+6xGG0vi92vqWFGoQmw9JzRn/eYmG+iU718tG5YNG5QOzdreuL25Okw6ZDBj4n0WGR+ZajAZCETWjdD3ROABWuv8Ls0GWdiFswpSQ5zXZcdO3YY1ZUl/CFZEJpkQcQKTB700s+j7WWhJ20vejNMLBr9eQ85FFZ9EKYvhSMuHFcRh5i+VA2v6t8PLa9G79cNi+lLhj4msuSsP0OhApGFTHjxVnW79NzonhM5xMQsyHKzQgghhEgNvTLUnm3DL8U60qZ4I3nbL8dfvnhsWy1ZvfVJNc+i7Bh1f+weFgeb6u8meQLo7YKX71LHx3/M37KICOmxMIBt2yxYsMCorizhD8mC0CQLIlZg8jB15sCwIS+6VOvBdq5TPQOhAjj8vIwWb1jx5llElpqN02Ohh0L5sEleYLKQbi//We0lUroEDjvd79L4wsQsmFOSHOa6LnV1dUZ1ZQl/SBaEJlkQsQKTB8uK2YF7mHkW/71J3a68dOjcBb9EGhYxK0PFW2pWi0zebk5vueIITBbSyXWjO20f9zHV65SDTMxCbr4TBioo8GmreGEcyYLQJAsiVmDyoOdZxNuBe/frUPsQYMGJn8losUakl5xt2wz796jhWm116r64PRZ6KFTmeywgQFlIl21PqfdqQqFqoOYw07IgDQsD2LbNvHnzjOrKEv6QLAhNsiBiBSoPI+1l8dzP1e0RFwxdwtVPk6fBtIG5FLtegq4m6OsGK6Qmjh9s6sBQqN7OxHYZT6FAZSEdXAee+H/qeOWlapPDHGViFswpSQ5zHIfa2locx/G7KMJnkgWhSRZErEDlQe9lcXCPRWcTvHK3On7TZzNbpkTEDofS8ysOORTyJgw9d2KJWioXMj6BO1BZSIf1v1WNv4IiOPkLfpfGVyZmQRoWBrAsi8LCQqwc2oZexCdZEJpkQcQKVB50j0X7drUylPbCr8Hpg/ITUrtzdqrE7sA90vwKUHNJ9HCoDE/gDlQWUq1jFzz+XXV81negqMzf8vjMxCxIw8IAtm1TVlZmVFeW8IdkQWiSBRErUHmYMiNmZahadd+BTqi4XR2b2FsB0cZOw0sxK0KNMFxLD4fKcI9FoLKQag99WQ1Rm3ccrLnc79L4zsQsmFOSHOY4DjU1NUZ1ZQl/SBaEJlkQsQKVh9iVofQO3BvugN4OtRnd0nP9K9tIZh4FeZNUOV9/SN03UsMi0mOR+aFQgclCKtU8AK/9E+w8uOimnF0JKpaJWZB3xQCWZVFaWmpUV5bwh2RBaJIFEStweZg5MM9idw2E+2Dd/6q/n/QZc38hDOXB3NXqeO8OdTvcUCiI9lhkuGERuCykwoFOePDL6vikq2HWkf6WxxAmZsHQ/925xbZtZs6caVRXlvCHZEFokgURK3B5iOxl8TpU/w06d8HUWXDMe/wt12j0PAst3lKz2hR/dt8OXBa0vn1qRaexeOJ70NUIhxwGp305teUKMBOzYE5JcpjjOFRXVxvVlSX8IVkQmmRBxApcHnSPRcur0SVmj/845Jm15v4QemUoUKsO6Y3w4pk6S936MBQqUFkANWflh4fC365I/rENFfDirer4op9B/qRUlizQTMyCNCwMYFkWZWVlRnVlCX9IFoQmWRCxApcHveRs+3bVuJgwFdYGYLLt3Jgei9LFar7IcCKTtzO/KlSgsgCw+VG1Itime2HHc4k/zumHBz4LeHDMe2Hh6ekqYSCZmAVpWBjAtm1KS0uN6soS/pAsCE2yIGIFLg9TZsCkadG/r/7wwEpRhisqg+JydTzSxG3wbfJ24LIA0FQVPX78u2pn80Q8/0torlZZOuf76SlbgJmYBXNKksMcx6GqqsqorizhD8mC0CQLIlbg8mBZ0f0s7Dw44ZP+licZ5cerW13+4Uz1Z45F4LIA0PRy9Hjn87Dl8dEf01YHT/1QHZ/zfZgyPS1FCzITsyANCwPYts2CBQuManEKf0gWhCZZELECmYfZx6jb5e+EknJ/y5KMs66F078Gx1058nlTBoZCHeiA/gNpL5YWuCz07YvuZ7L8Xer2ie+N3GvhhOHeT0C4Bw47DVZcmv5yBpCJWTCnJDnMsixKSkqMGiMn/CFZEJpkQcQKZB5O+QKcdR2c9yO/S5KcknI4/atQUDjyeZMOATtfHWdwnkXgsvBGNXguTJ0N5/1QzbdpelntSzGc526ChhfVBPq3/WrkuS45zMQsSMPCAI7jsGHDBqO6soQ/JAtCkyyIWIHMw9SZcPLnYFKJ3yVJD8uK9lpkcDhU4LKg51eUrVDDmfSwuCe/H3/52Tc2wpPXq+Pzfhis3q4MMzEL0rAwgG3bLFmyxKiuLOEPyYLQJAsiluTBUHqeRXfmeiwClwU9v2LOSnV74lUwsQR2vwYb7xl8brgX/v5xcPvh8AtkCNQoTMyCOSXJYZZlUVhYaFRXlvCHZEFokgURS/JgKB8mcAcuC40vq9uyFep2Ugm86bPq+Knr1ZKy2lPXQ8smmDwdLrpJhkCNwsQsSMPCAOFwmPXr1xMOh/0uivCZZEFokgURS/JgKB+WnA1UFvp7VM8EQNnK6P3Hf1z927Vvh8o/qvt2vgD/vUkdX/Sz6D4hYlgmZkEaFgYIhUIcddRRhEIhv4sifCZZEJpkQcSSPBjKh03yApWF5k3gOWouStGc6P0TpsApX1THT/8Y9u+Bez+uJnkf815YdpE/5Q0YE7MgDQsDWJbF5MmTjerKEv6QLAhNsiBiSR4MFemxaM7YSwYqC3p+RdmKocOa1l4GRfOgqxFuPQPat0HRXDVhWyTExCxIw8IA4XCYdevWGdWVJfwhWRCaZEHEkjwYyofJ24HKQmR+xcqhP8srgNO/oo7bt6vbt/0qe1cRSwMTsyANCwOEQiFWrVplVFeW8IdkQWiSBRFL8mAoHyZvByoLsUvNxrPifTBtkTo+7mOw6IzMlCtLmJiFPL8LIBSTQiH8JVkQmmRBxJI8GMiHydsQkCyEe6GlRh3rpWYPFsqDS/8MdU/AmssyVrRsYloWpMfCAI7jUFFRYdQGJ8IfkgWhSRZELMmDoXSPxYG9EO5L7rHhXnjmBmh+NamHBSYLzZvUfhSTDoHiETa5m3G42jQvf2LmypYlTMyCNCwMEAqFWLt2rXGtTpF5kgWhSRZELMmDoSaWgD0w+CPZlaFe/A08/l147DtJPSwwWYgMg1op+1GkiYlZkIaFIUxqbQp/SRaEJlkQsSQPBrJttZQqJD/PYuNf1W1bXdIvG4gsHLzjtkgL07IgDQsDOI5DZWWlceEQmSdZEJpkQcSSPBhMNyySmWfRVhf9xbujATwv4YcGJgujTdwW42ZiFmTytgHy8vI44YQT/C6GMIBkQWiSBRFL8mCwqWOYwF39t+ix0wv7WhPeaToQWQj3qTkWEH+pWZESJmbB+B6LhoYGbr75ZlatWsXpp58e95z777+fNWvWMHfuXJYsWcL3v/99o1pvo/E8j/379+Ml8Y2FyE6SBaFJFkQsyYPBps5St4kOhfK86DAoraM+4ZcLRBZ2vwZOH0wshkMO9bs0WcvELBjdsNi/fz+nnnoqFRUVzJ07N+45Tz75JB/5yEe46aab2LVrF08++SR33XUXP/rRjzJc2rFzHIdNmzYFqjEk0kOyIDTJgogleTBYZChUgpO3m6uh9XUIFcCMI9R9STQsUpqFvv3w2r+SX9FqNCPtuC1SxsTrgtENi8mTJ7N161Zuu+021q5dG/ecF154ga997WucfPLJAMybN49PfOIT3HPPPZks6rjk5eVx7LHHkpcnI9NynWRBaJIFEUvyYLBkN8nTw6CWnA0zj1THHQ0Jv1xKs/Dcz+Ev74MHPjv+54ol8ysywsTrgtENi0R89atf5Zprrhl038aNGykqKvKpRMnzPI+uri6jurKEPyQLQpMsiFiSB4Mls0me50UbFke/C4rnqeMkGhYpzcKO59Rt1V2w84XxP5/W+LK6lfkVaWXidSHwDYtYnufxgx/8gN///vd885vfjHtOb28vnZ2dg/4AuK4buY137DhOQsf6zY09DofDQ449z4scO47D66+/juu6kft1fXT3Vuyx67oJHftZp4PrIXVKrE7hcJjNmzcTDoezpk7Z+D5lok76uqDPy4Y6ZeP7lKk6ua5LbW1t5DmzoU5Z8z4NTLr2BhoWI9ap/kXYuxNvwlTcxWdHNo7z9u5MuE79/f3U1tbiOM746hQOR3sWAB78Im64f/zvkxPGa65WzzlnlTnv03jqFOfYhDqNdF1IR50S4VvDYvfu3cybN2/YPzfeeGNSz7dnzx4uvPBCfvnLX/Lwww9z1llnxT3v+uuvp7i4OPKnvFz9p96+fTsA9fX11NersY7btm2jsbERgLq6OpqbmwGora2ltbUVgJqaGtrb2wGorq6mo6MDgKqqKrq7uwGorKykp6cHgIqKCvr6+nCc6G6J+uIQCoXo6emhsrISgO7ubqqq1H/6jo4OqqvVf9T29nZqamoAaG1tpba2FoDm5mbq6tR62I2NjWzbts23OvX19VFRUQEgdUqiTo2NjaxevZqdO3dmTZ2y8X3KRJ2AyIdFttQpG9+nTNUpFAoxffr0SD2yoU5Z8z4N9Fi4nW+MWqeeF/8IQGfZm2jt2A8l6ncQZ8/2hOu0YcMGli9fHqnfWOu05aWn4MBePDsPJ78Q3thI11M/H//71Po6VvgAbv5UOOQwc96n8dQJM7MXCoWYNWsWO3fuzEidEmF5yTRDfHTttdfy1FNP8dRTTw352bZt2zjzzDM5+eST+cUvfkFxcfGwz9Pb20tvb2/k752dnZSXl9Pe3k5JSUmk5Wbb9qBjx3GwLGvUY9u2sSxr0LFuNMQeg2oRhkIhPM+jvb2dadOmRe7Py8vD8zxc142co49dV/VsjHYcrx6ZqtPB9ZA6JVYnz1PdmoWFhQnVIwh1ysb3KRN10teFQw45JHJ+0OuUje9TpupkWRbt7e0UFxcPqWtQ65Q179OBvfDjhQDwrVZcKxS/Tv192Dctx+puxnnvX7CWnoPdsgl+fTLe5OlYX65LqE79/f10d3dTXFwcKeOY6lTzT0L3fBBv9tF4Kz+I/e8v400sxv3UekJFs8b+PlX9Gf7xKbwFb8K67EFz3qcszJ5t28NeF1JZp3379lFSUkJHR8eoUw3Mme0xRh0dHZx99tl85jOf4fOf//yo5xcUFFBQUDDkftu2B90efBy7XXqyx7GTauIdu65LQ0MDJSUlhEKhyP2WZUWeJ/Z4uDIme5zOOsUeW5YldUrw2HEcduzYwfLlyyM/C3qd4h1LnUavU+x1wbbtrKjTcMdSp9GPHcehvr4+8sVZNtRppONA1WnSIWCFwHNg327sojnx61T/PHQ3w8QSQovPVLt2D8yxsPa3Qn8PofxJo9bJtm127tzJ8uXLx1en5o3q/tkrsI69Air/iNW8kdBT34e3/nzs79PA8CprYH6FMe9TgsdByt5I14VU1slKYmWvwM+x+NrXvsYpp5ySUKPCVKFQiBUrVgx6I0VukiwITbIgYkkeDGbbie2+XT2wd8WRb4O8Cep4YglMmKqOE5zAnbIsvPGKui07BkJ5cMFP1N83/AF2vTT259VLzc5ZOZ7SiQSYeF0IfMPioYce4oEHHog7T6OhIfFVFvzkui5tbW2RbiuRuyQLQpMsiFiSB8PpXbP3DbOXRbgPXr1fHS9/Z/R+y4pM4E50L4uUZaFJNywGloSdfwIc817Ag399Ccby/K4Db2wc/LwibUy8LgRmKNS1114b9349CSfIPM+jqamJkpISv4sifCZZEJpkQcSSPBhutCVn656AA3vVLt2Hnjz4Z8XzYHdNwj0WKclC927oagQsmLU8ev/Z16kN8xo3QOUfYc2Hk3ve1s3Qvx/yp0Dp4rGXTyTExOtC4HssskEoFGL58uVGdWUJf0gWhCZZELEkD4bTm+R1N8f/ud674qiLwT7oPUxyL4uUZOGNgWVmSxdBwdTo/YWz4YyvqePHroX9e5J73siO28cMradIOROvC9KwMIDrurS0tBjVlSX8IVkQmmRBxJI8GE43LCpug2duhM6m6M/69qteAIDl7xr62IElZ9mb+FCocWfh4GFQsY77GMxYBj174Mn/SfJ5ZcftTDLxuiANCwN4nkdbW1tSG5CI7CRZEJpkQcSSPBhu6blqEnZHPTx+Hfz0SLjz3bDpPqh5APr3Qcl8mLd26GOTnGORkizoBsDsY4b+LJQP5/9IHVf8Dva1Jf68suN2Rpl4XQjMHItsFgqFWLZsmd/FEAaQLAhNsiBiSR4Mt+Ak+OJrsOleqLwT6tfB5kfUH235O9Vk7YONYSjUuLMQuyJUPIedCoccBu3boLkaFp42+nN6HjRvUsezjx5f+URCTLwuSI+FAVzXpampyaiuLOEPyYLQJAsiluQhAAoKYfWH4IqH4aqX4OQvQGHZwA8tOPqS+I/TDYvOXQmtxDTuLBzohD1b1fHsEYYszTpK3ba8mtjzdjRAbwfYeTB96djKJpJi4nVBGhYG0Lstm9SVJfwhWRCaZEHEkjwEzPTFcNZ34POb4IP3wofvh1lHxj+3cA5YNjh9sG+EfTAGjDsLejnYonkwpXT482YOfBOeaMNCnzd9aXSfDpFWJl4XZCiUAUKhEEuXSuteSBZElGRBxJI8BJQdgkVvHvmcUJ5qXHQ2qG/9C2ePfPp4szDaMCht5kBDqDnBhoUeBjVzmAaUSDkTrwvSY2EA13VpaGgwqitL+EOyIDTJgoglechykXkWo0/gHncWRloRKpZuIOx+LbHN8nSPxXA9MyLlTLwuSMPCEL29vX4XQRhCsiA0yYKIJXnIYkkuOTuuLIy0IlSs0kUQmgB93dCxc/Tn1T0bM48ae9lE0ky7LkjDwgC2bbNo0SJsW96OXCdZEJpkQcSSPGS5JFaGGlcW+g+oHggYfShUKD86CbulZuRznX5orVXH0mORMSZeF8wpSQ5zXZcdO3YY1ZUl/CFZEJpkQcSSPGS5JBoW48pCy6vgOTC5FIrmjn5+ZJ7FppHPa90Mbj8UFEX35RBpZ+J1QRoWQgghhBB+SnKTvDGLHQYVb0+Ng0VWhhqlx0LPr5i5LLHnFVlLVoUygG3bLFiwwO9iCANIFoQmWRCxJA9ZLomGxbiykOiKUFqie1nIilC+MPG6ID0WBnBdl7q6OqO6soQ/JAtCkyyIWJKHLKeHQvW0Q2/3iKeOKwuJrgil6R6L1loI9w1/nm5YzJKJ25lk4nVBGhaGKCgo8LsIwhCSBaFJFkQsyUMWm1gEBcXquHPXqKePKQtOGJqr1fFIO27HKi6HCYXghqFty/DnRYZCSY9Fppl2XZCGhQFs22bevHlGzeoX/pAsCE2yIGJJHnJAgkvOjjkLbZshfAAmTIVpCxN7jGWNvgP3gY7oEC5ZESqjTLwumFOSHOY4DrW1tTiO43dRhM8kC0KTLIhYkocckOAmeWPOgh4GNftoSOYXUd1YGK5hoSd2F86BSYckVyYxLiZeF6RhYQDLsigsLMSSlRRynmRBaJIFEUvykAMSXHJ2zFlIdGO8g+nhTcOtDBWZXyG9FZlm4nVBVoUygG3blJWV+V0MYQDJgtAkCyKW5CEHJNiwGHMWkl0RShttLwuZX+EbE68L0mNhAMdxqKmpMaorS/hDsiA0yYKIJXnIAQkuOTumLHheTMMiwYnbmm4w7N0Rf8Wq5oGGhawIlXEmXhekYWEAy7IoLS01qitL+EOyIDTJgoglecgBCTYsxpSFvTvUJOvQBJhxRHLlmlIKU2ep492vDf6Z50GL7GHhFxOvC9KwMIBt28ycOdOoWf3CH5IFoUkWRCzJQw7QQ6E6G8Ed/hvoMWVBz6+YuQxC+cmXbbiVoTobVYPFCsGMw5N/XjEuJl4XzClJDnMch+rqaqO6soQ/JAtCkyyIWJKHHFA4G+w8tWdEd/Owp40pC8lujHewyDyLgxoWuqFRuhjyzNpPIReYeF2QhoUBLMuirKzMqK4s4Q/JgtAkCyKW5CEH2CEomqOOR9jLYkxZ0PMrkl0RSps5zJKzsiKUr0y8LkjDwgC2bVNaWmpUV5bwh2RBaJIFEUvykCMSmGcxpizooVDj7bE4uGERWRFKJm77wcTrgjklyWGO41BVVWVUV5bwh2RBaJIFEUvykCMSWHI26Sx07FJDqyx77Cs3zRyY8L1vN3Tvjt4fWRFKeiz8YOJ1QRoWBrBtmwULFhjV4hT+kCwITbIgYkkeckSCPRZJZWHLY+p2zmqYMGVs5ZowBQ45VB3rXgqnH1pfV8eyIpQvTLwumFOSHGZZFiUlJUaNkRP+kCwITbIgYkkeckQCPRZJZ2HzI+p26TnjK5se7qR34G6rA6cP8qdAyYLxPbcYExOvC9KwMIDjOGzYsMGorizhD8mC0CQLIpbkIUdEeixGHgqVcBbCvbD1KXW85C3jK1tkydlNg29nLgODvjHPJSZeFyQJBrBtmyVLlhjVlSX8IVkQmmRBxJI85IiSxIZCJZyFHc9BX7fa4G6sK0Jpeh6F7rGQ+RW+M/G6YE5JcphlWRQWFhrVlSX8IVkQmmRBxJI85Iiiuer2QAcc6Ix7SlJZ0MOglpw9/l6FmTENC9eVFaEMYOJ1QRoWBgiHw6xfv55wOOx3UYTPJAtCkyyIWJKHHFEwFSYdoo6HGQ6VVBYiDYtxzq8AtQmena96QDrqZQ8LA5h4XZCGhQFCoRBHHXUUoVDI76IIn0kWhCZZELEkDzlklAncCWehrQ7atqjGwMLTx1+uUD5MX6qOG9bD3h3qWHosfGPidUEaFgawLIvJkycb1ZUl/CFZEJpkQcSSPOSQ4vnqdph5FglnQfdWLDgRJhalpmy6d6L6b+p26iyYUpqa5xZJM/G6IA0LA4TDYdatW2dUV5bwh2RBaJIFEUvykEMiPRbxGxYJZyGVw6A0vTLU5kcH/i7DoPxk4nVBGhYGCIVCrFq1yqiuLOEPyYLQJAsiluQhhyQwFGrULPR2w/Zn1fF4l5mNpYc9uf3qdqw7eYuUMPG6IA0LQ5gUCuEvyYLQJAsiluQhR5SMvpfFqFnY9h+1ed0hh8L0Jakrm+6x0KRh4TvTrgvSsDCA4zhUVFQYtcGJ8IdkQWiSBRFL8pBD9CZ5e+MPhUooC5sfVrdL3gKpHH9fMh8mTI3+XYZC+crE64I0LAwQCoVYu3atca1OkXmSBaFJFkQsyUMO0UOhuhrBGTp2ftQseF50DkQq51eAaqToXgvLhhmHp/b5RVJMvC5Iw8IQJrU2hb8kC0KTLIhYkoccMWUmhCaA50JXU9xTRsxC8ybo3AV5k+DQk1NfPt1LMW0R5E9K/fOLpJh2XZCGhQEcx6GystK4cIjMkywITbIgYkkecohtR3fgrv6r6oGIMWoW9DCohadB/sTUl2/e2sG3wjcmXhcszzsosTmms7OT4uJiOjo6KCpK0TrPQgghhBBj9dh18OyN6njl++GCGxLvHfjdOVC/Di64EY69IvVlcx21j8XCM2DqjNQ/vzBOMr8rS4+FATzPY//+/eR4G08gWRBRkgURS/KQY878Npx1nZrH8PKdcNs5sHcnMEoW9u+BhhfVcSqXmY1lh+CYS6RRYQATrwvSsDCA4zhs2rTJqK4s4Q/JgtAkCyKW5CHHWBac/Dn44L0wuRSaquCW06DuiZGzUPeEmpsx88josrUia5l4XTB+KFRDQwP3338/t956K8XFxTz11FPDntvV1cXKlSspLy8f8bxYMhRKCCGEEMbaWw93fxAaK1UPxpu/BSd/Pv4ysn+7EjbeDW/6HJx9XcaLKrJT1gyF2r9/P6eeeioVFRXMnTt31POvvvpqpkyZkoGSpZbneXR1dRnVlSX8IVkQmmRBxJI85LCScrjs37Dqg6o34vHrcH59Gt5/fw57tkXPcx3Y8pg6XpriZWaFkUy8LhjdsJg8eTJbt27ltttuY+3akVcf+Otf/0pFRQVXX311hkqXOq7rsnnzZlzX9bsowmeSBaFJFkQsyUOOy58Ib/slXHQTXmgCoeYqrEe/BT9fCb8+GZ7+EbxyN/+/vTuPiers9wD+nQWHVou4x2HwFaWvkc2WLpqKIlSLC2jsextrrNU2Sq29Ggt1iQawRqOttbbGklbTgrtVU5fbuNSK0tZae6FqURE3kFURGTaDAzPnuX+YM5cRlaEjc4aZ7yeZ5HgW5vd4vpnw4zznDOorAe/OgOFlpSsmJ3DFzwWt0gU8CSUlJZg9ezYOHDiAS5cuKV1Oq2k0GoSHhytdBrkAZoFkzAI1xTwQAOCF6VD9ezSQ+z/3XwW/ATdz7r9k/V8FNG7x6x21wBU/F1z6ioU9hBCYPn064uPjMWTIkBb3N5lMqKmpsXkBsHZ7kiQ9dNlisdi1LF+OarpsNpubLQshrMuSJOHOnTs26+WxyTfkNF2WJMmuZSXH9OA4OCb7xmSxWFBVVWX3ONrDmNzxPDljTPLngiRJbjMmdzxPzhqTEAKVlZUPHWt7HZM7nidnjKnRuxuMz/4XpKn7YP7wEsSEryD+HQOh6XC/9tA32t2Y3PE8OWNMj/tcaIsx2UOxxuL27dswGAyPfH3++ed2/Zy1a9fCaDQiJSXFrv1XrlyJzp07W1/+/vefmlBQUAAAKCoqQlFREQAgPz8fpaWlAIBr167h1q1bAIDLly+joqICAJCbmwuj0QgAOH/+PKqrqwEA586dQ11dHQDgzJkzqK+vBwBkZWWhoaEBFosFWVlZsFgsMJlMyM7OhiRJqK+vx5kzZwAAdXV1OHfuHACguroa58+fBwAYjUbk5uYCACoqKnD58mUAwK1bt3Dt2jUAQGlpKfLz8xUbU0NDA7KysgCAY2rFmAoLC3Hjxg23GpM7nidnjMlsNiM7Oxtms9ltxuSO58lZY5IkCRcvXkRhYaHbjMkdz5OzxpSfnw+z2Yysi9dhCX0TDf/Zgv+N+h7472zU9xnRLsfkjueprcckSRJyc3OdNiZ7uPxToWRLly7FiRMnbJ72lJOTg+HDh+P333/HwIEDAQDp6elIT09/5FOhTCYTTCaT9d81NTXw9/eH0WiEr6+vtXNTq9U2yxaLBSqVqsVltVoNlUpls2w2m6HRaGyWgfsdYdNlrVZr7VTlZUmSoNFobJblv161tPywcXBMHBPHxDFxTBwTx8QxcUwck71junv3Lnx9fe16KlS7biy++OILfPjhh488ZuPGjZgxY8Zjf64rPG5WkiQYjUZ06dIFanW7n51GDmAWSMYsUFPMA8mYBZI5Kwtu87jZlsybN886Z01+paWlITIyEkKIFpsKVyGEQFlZWavmsJF7YhZIxixQU8wDyZgFkrliFvjYABeg0WgQEhKidBnkApgFkjEL1BTzQDJmgWSumIV2MxWqrbjKVKiKigp0796dlzU9HLNAMmaBmmIeSMYskMxZWfCYqVDuQghhfdwseTZmgWTMAjXFPJCMWSCZK2aBVyxc4IoFEREREZEr4hWLdkaSJJSVlVkfDUaei1kgGbNATTEPJGMWSOaKWWBj4QKEEKitrXWpS1mkDGaBZMwCNcU8kIxZIJkrZoFToTgVioiIiIjooTgVqp2RJAnFxcUudSmLlMEskIxZoKaYB5IxCyRzxSywsXARJpNJ6RLIRTALJGMWqCnmgWTMAslcLQucCsWpUERERERED8WpUO2MJEm4ceOGS13KImUwCyRjFqgp5oFkzALJXDELbCyIiIiIiMhhnArFqVBERERERA/Vmt+VtU6qyWXJfVVNTY1iNUiShIKCAvTt2xdqNS8ieTJmgWTMAjXFPJCMWSCZs7Ig/45sz7UIj28samtrAQD+/v4KV0JERERE5Jpqa2vRuXPnx+7j8VOhJElCaWkpnnnmGahUKkVqqKmpgb+/P4qKijgdy8MxCyRjFqgp5oFkzALJnJUF+Ru+9Xp9i1dGPP6KhVqthsFgULoMAICPjw8/JAgAs0D/j1mgppgHkjELJHNGFlq6UiHj5DwiIiIiInIYGwsiIiIiInIYGwsXoNPpkJKSAp1Op3QppDBmgWTMAjXFPJCMWSCZK2bB42/eJiIiIiIix/GKBREREREROYyNBREREREROYyNhcLS09MREhICg8GAl19+GSdPnlS6JHKCb7/9FsHBwfDz88PAgQOxYcMGm+0mkwmLFi1CYGAg9Ho9JkyYgNLSUoWqJWcpLi5G165dMX36dOs6ZsGz5OfnY8KECfDz80Pv3r0xadIklJWVWbczD56jrq4OiYmJCAgIgMFgQHBwMNavX2/dziy4J0mS8McffyAxMRFdu3ZFenq6zXZ7zntJSQkmTZqEvn37ws/PDwkJCWhoaHBK/WwsFLR161YsXrwYe/bsQXFxMRYuXIhx48YhPz9f6dKoDW3ZsgVLly7Frl27UFJSgh9++AHJycnYsWOHdZ8PPvgAp0+fRnZ2NgoLC/Hss89izJgxsFgsClZObUkIgWnTpjX7Xh1mwXNUVVUhKioKcXFxKC4uxvXr1+Hl5YV169ZZ92EePMfbb7+NnJwcZGVlobi4GDt37sTKlSuteWAW3FNaWhrmzp2Lp556ChqNptn2ls57Q0MDRo0ahT59+uDatWu4cOEC/vrrLyQkJDhnAIIUExgYKNasWWOzLi4uTiQkJChUETnD7Nmzxfbt223WJSQkiIkTJwohhLhx44ZQq9UiOzvbut1kMolu3bqJAwcOOLVWcp7Vq1eLmJgYkZKSIqZNmyaEYBY8TXJysoiNjbVZZzabrcvMg2fx9vYW+/fvt1k3b948ERcXxyx4iH/9618iLS3N+m97zvvWrVtFt27dRENDg3Wf7OxsodPpxO3bt9u8Zl6xUEhRURGuXr2K2NhYm/VxcXE4dOiQQlWRM3z11VeYPHmyzbqcnBzrt2ZmZmaiV69eCA8Pt27v0KEDYmJimA03de7cOaxatQqpqak265kFz3LgwAGMHTvWZl3Tv1gyD57lxRdfxP79+yFJEoD7U6OOHz+O4cOHMwseyp7znpGRgddeew1eXl7WfcLDw9G1a1dkZGS0eY1sLBRSUlICANDr9Tbr9Xq9dRu5v8bGRsyZMwenTp3CRx99BOB+Nh7MBcBsuKt79+5hypQpWLVqFfr162ezjVnwLFeuXIGvry9mzpyJgIAAhIaGYvny5TCbzQCYB0+ze/duVFVVISwsDLNmzcKIESMwa9YsJCYmMgseyp7z/qh9/Pz8nJINNhYKkTtJtdr2FKhUKgh+tYhHKCwsxLBhw3Ds2DH89ttvCAkJAXA/Gw/mAmA23NWCBQvQv39/zJgxo9k2ZsGzWCwWLF++HG+99RauX7+OPXv2YOfOnVi4cCEA5sHTlJWV4ebNmxg6dCgGDx4MHx8f7N+/H2VlZcyCh7LnvCudDTYWCpFv0HzwTv7S0lL4+fkpURI5UXZ2Nl566SVERETgzJkzGDRokHWbwWB46JM9mA3389NPP+H777/Hxo0bH7qdWfAsffr0QXx8PCIjI6FSqTBgwAAkJSVh8+bNAJgHT1JTU4NRo0Zh/vz5+Oabb/DOO+8gIyMD/fr1w5QpU5gFD2XPeVc6G2wsFNKrVy8MGjQIBw8etFl/5MgRjB49WqGqyBkKCwsxduxYrF+/Hp999hl0Op3N9ujoaJSXl+Pvv/+2rjObzcjIyGA23MzBgwdRXl6OXr16QaVSQaVS4eOPP8amTZugUqmgVquZBQ8ybNgwmEymZuvlzwh+NniOS5cu4c6dOxgxYoTN+piYGJw+fZpZ8FD2nPeYmBgcPXrUOoUSAC5cuIDbt28jOjq67Yts89vD6ZG2b98u/Pz8RF5enhBCiL179wofHx9x9epVhSujtjRmzBixdOnSx+4THx8vXn31VVFdXS3MZrOYP3++CA4OFo2NjU6qkpTS9KlQQjALnuTKlStCr9eLEydOCCGEKCgoEEFBQSIpKcm6D/PgGWpra0XPnj3FnDlzxN27d4UQ9/MwZMgQ6xMEmQX39+BToYRo+bw3NjaK4OBgsWjRImE2m0VVVZWIiooS7733nlNq5hULBU2ePBlJSUmIjY2FXq/HihUr8OOPP6J///5Kl0Zt6NChQ0hNTYXBYGj2kq1btw6hoaEICgqCwWBAXl4eDh8+DK1Wq2DlpARmwXMEBgZi+/btWLBgAXr27Ino6Gi8+eabSE5Otu7DPHiGTp064ZdffkF5eTkGDBgAvV6P6OhoREZGYsuWLQCYBU/V0nnXarU4fPgwLl68CH9/fwQHB2PQoEH48ssvnVKfSgje5UNERERERI7hFQsiIiIiInIYGwsiIiIiInIYGwsiIiIiInIYGwsiIiIiInIYGwsiIiIiInIYGwsiIiIiInIYGwsiIiIiInIYGwsiIvIoR48exSuvvILY2FjcvXtX6XKIiNwGGwsiInKIxWJBY2MjLBaL0qXYZdu2bcjMzMTUqVPx888/K10OEZHbYGNBRER227t3L3Q6HbRaLdRqNVQqFbRaLTp06IDAwEAYjcZmx9TV1UGlUj3yNX369CdaoyRJaGxsxL1791BXV4fq6mpUVlaivLwcZWVlCAoKwrp167Bv3z6Eh4c/0fcmIvJkKiGEULoIIiJqH0wmE2pqaqDRaGxee/bswbJly5CXlwe1Wrm/WZ04cQJRUVE26+Tmx8vLCxaLBVOnTsWsWbOg1+vRu3dvhSolInI/WqULICKi9kOn06FHjx4264QQ+PTTTzF37twn2lTU19cjLy8Pzz33HJYsWYKnn34aS5YsAQCkpqYiKCgII0aMsDkmIiIClZWV8PLygpeXF7RaLTQajXX7u+++i44dO+KFF154YnUSEdF9nApFREQO2bVrF+7du4eZM2c229a3b9/HToNq+tq6davNsSdPnsSYMWNQX1+P6OhorF27Fg0NDQCADRs2oLKystn7abVadOnSBZ06dYJOp7NpKoQQOHbsGIYNG/aE/weIiAjgFQsiInJAQUEBZs+ejV27dsHb2/uh2x+UmJiI2tpabNiw4bE/e+TIkejevTt2796NqVOnIiwsDCUlJfDy8kJubm6zKU8tOX78OO7cuYPRo0e36jgiIrIPr1gQEdE/Ul9fjzfeeAN1dXX4888/Ye8te4WFhejXr59d+65YsQKhoaFQqVTIyMhAQEAAUlNTERcXhy5duthdqxACKSkpmDFjBjp27Gj3cUREZD82FkRE1Go3b95EZGQk/P39cfbsWXz33Xd4/fXXUVtb+9jjGhsb8euvvyIiIsKu9xk/fjyef/5567/Pnz+P9evXIzk5uVX1rlmzBpcvX7beo0FERE8eGwsiImqVzMxMDB48GAEBAdixYwcGDhyIU6dO4ebNm4iKikJFRcUjj129ejV69uxpd2PRVE5ODkaPHo2kpCSEhYXZfdzXX3+NpKQkbNu2rdmN50RE9OSwsSAiIrtcuXIF48ePx6hRo/D+++9j586d0Ol0AIDu3bvjyJEjUKvViIiIQFVVlc2x9fX1WLhwIT755BOkpaW16n2NRiOWLVuGoUOHYs6cOZg/f75dxxUWFmLy5MlYvHgx9u3bh5EjR7bqfYmIqHV48zYREdnFy8sLPj4+OHv2LIKCgppt9/HxwZEjR7Bp0yb4+vpa19fW1iIsLAw9evTAyZMnERIS0qr3nThxIry9vZGZmWkzLepx4uPjsXnzZowbNw5nz55Fnz59WvWeRETUevyCPCIianNFRUXw9/f/R8daLBabx8ba4/Tp0+jUqROCg4P/0XsSEVHrsbEgIiIiIiKH8R4LIiIiIiJyGBsLIiIiIiJyGBsLIiIiIiJyGBsLIiIiIiJyGBsLIiIiIiJyGBsLIiIiIiJyGBsLIiIiIiJyGBsLIiIiIiJyGBsLIiIiIiJyGBsLIiIiIiJy2P8BGcCvDDxnqE0AAAAASUVORK5CYII=
" alt="figure"></div>
<div class="colab-figure"><img decoding="async" 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
" alt="figure"></div>
<div class="colab-figure"><img decoding="async" 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
" alt="figure"></div>
<h2><span id="toc3">1. sharex/shareyで軸を共有</span></h2>
<p>複数の系列を同じスケールで比較したい場合は、sharex=Trueやsharey=Trueを使います。</p>
<pre class="language-python"><code class="language-python">import matplotlib.pyplot as plt
import numpy as np # 必要に応じてnumpyもインポート（このコードではデータは既存のものを使用）

# 4行1列のグリッド状に4つのグラフを作成します。
# sharex=Trueを指定することで、全てのサブプロットのX軸（横軸）が共有されます。
# 軸が共有されると、スクロールや拡大縮小が連動し、データ間の比較がしやすくなります。
# constrained_layout=Trueは、タイトルやラベルが自動的に重ならないようにレイアウトを調整してくれます。

fig, axs = plt.subplots(4, 1, sharex=True, figsize=(9, 6), constrained_layout=True)

# 各サブプロットにデータをプロットし、タイトルを設定します。
# axsは1次元配列なので、axs[0]、axs[1]のように直接アクセスできます。

axs[0].plot(y1)
axs[0].set_title(&quot;グラフ１&quot;)

axs[1].plot(y2,color=&quot;C1&quot;)
axs[1].set_title(&quot;グラフ２&quot;)

axs[2].plot(y3,color=&quot;C2&quot;)
axs[2].set_title(&quot;グラフ３&quot;)

axs[3].plot(y4,color=&quot;C3&quot;)
axs[3].set_title(&quot;グラフ４&quot;)


# forループを使って、全てのサブプロットに共通の設定（グリッド線）を適用します。
# sharex=Trueを設定しているため、X軸のラベルは一番下のグラフにのみ表示されるのが一般的です。

for ax in axs:
    ax.grid(True, linestyle=&quot;:&quot;, alpha=0.5) # 全てのグラフにグリッド線を追加
    ax.set_ylabel(&quot;累積和&quot;) # 各サブプロットにY軸ラベルを設定

# 一番下のサブプロットにのみX軸ラベルを設定することが多いです（共有軸のため）。
axs[-1].set_xlabel(&quot;ステップ&quot;)

# 全てのグラフを表示します。
plt.show()</code></pre>
<div class="colab-figure"><img decoding="async" 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
" alt="figure"></div>
<h2><span id="toc4">2. subplotsの基本：均等グリッド</span></h2>
<p>最も簡単なのはplt.subplots(nrows, ncols)で均等に配置する方法です。</p>
<pre class="language-python"><code class="language-python">import matplotlib.pyplot as plt
import numpy as np # numpyは既にインポート済みですが、分かりやすさのため再度記述

# 2行2列のグリッド状に4つのグラフ（サブプロット）を作成します。
# figは図全体、axsは4つのサブプロットを格納した配列です。
# figsize=(9,6)で図全体のサイズを指定しています。

fig, axs = plt.subplots(2, 2, figsize=(9, 6))

# axsは通常、[[ax00, ax01], [ax10, ax11]]のような2次元配列で返されます。
# ax.ravel()を使うと、これを[ax00, ax01, ax10, ax11]という1次元の配列に変換でき、
# ループ処理などで扱いやすくなります。

axs = axs.ravel()  # 2x2の配列を一次元に平坦化

# 各サブプロットにランダムウォークデータをプロットします。
# y1, y2, y3, y4は、&quot;はじめに&quot;のセクションで作成されたデータです。

axs[0].plot(y1) # 1つ目のサブプロットにy1をプロット
axs[0].set_title(&quot;グラフ１&quot;) # 1つ目のサブプロットのタイトルを設定

axs[1].plot(y2,color=&quot;C1&quot;) # 2つ目のサブプロットにy2をプロット
axs[1].set_title(&quot;グラフ２&quot;) # 2つ目のサブプロットのタイトルを設定

axs[2].plot(y3,color=&quot;C2&quot;) # 3つ目のサブプロットにy3をプロット
axs[2].set_title(&quot;グラフ３&quot;) # 3つ目のサブプロットのタイトルを設定

axs[3].plot(y4,color=&quot;C3&quot;) # 4つ目のサブプロットにy4をプロット
axs[3].set_title(&quot;グラフ４&quot;) # 4つ目のサブプロットのタイトルを設定


# forループを使って、全てのサブプロットに共通の設定（グリッド線、X軸ラベル、Y軸ラベル）を適用します。
for ax in axs:
    ax.grid(True, linestyle=&quot;:&quot;, alpha=0.5) # グリッド線を追加（点線、半透明）
    ax.set_xlabel(&quot;ステップ&quot;) # 各サブプロットにX軸ラベルを設定
    ax.set_ylabel(&quot;累積和&quot;)   # 各サブプロットにY軸ラベルを設定

# 全てのグラフを表示します。グラフが重なる場合は、plt.tight_layout()を使用
plt.show()</code></pre>
<div class="colab-figure"><img decoding="async" 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
" alt="figure"></div>
<h2><span id="toc5">3. 余白調整：tight_layout と constrained_layout</span></h2>
<p>テキストや凡例が重なるときは、tight_layout()かconstrained_layout=Trueを使います。後者はFigure作成時に指定するのがポイントです。</p>
<pre class="language-python"><code class="language-python"># tight_layout の例（後から詰める、シンプルだが注意点あり）
# 2行2列のサブプロットを作成します。figsize=(9,6)で図のサイズを指定。
fig, axs = plt.subplots(2, 2, figsize=(9, 6))

# 各グラフにプロットするデータとタイトルを用意します。
y_data = [y1, y2, y3, y4]
titles = [&quot;グラフ１&quot;, &quot;グラフ２&quot;, &quot;グラフ３&quot;, &quot;グラフ４&quot;]

# axs.ravel()で2次元のaxs配列を1次元に平坦化し、forループで各サブプロットにアクセスします。
for i, ax in enumerate(axs.ravel()):
    # 各サブプロットにデータy_data[i]をプロットします。
    ax.plot(y_data[i])
    # タイトルを設定します。
    ax.set_title(titles[i])
    # グリッド線を追加します。
    ax.grid(True, linestyle=&quot;:&quot;, alpha=0.7)

# --- tight_layout の詳細 ---
# plt.tight_layout()を呼び出すことで、グラフ間の間隔や余白を自動的に調整し、
# タイトルやラベルが重ならないようにします。これは「描画後に余白を調整する」というアプローチです。
# 手軽で多くの場合に有効ですが、Figureにsuptitle（図全体のタイトル）やfig.legend（図全体の凡例）、
# colorbarsなどを追加した場合、それらが考慮されずにレイアウトが崩れる可能性があるため、
# rect引数で調整が必要になることがあります。シンプルな図には適していますが、複雑な図では手動調整が必要になる場合があります。
plt.tight_layout()
plt.show()

# constrained_layout の例（より賢く、複雑なレイアウトに適応）
# こちらも2行2列のサブプロットを作成しますが、figの作成時にconstrained_layout=Trueを指定します。
# これにより、Matplotlibが「描画前に」最適なレイアウトを計算し、自動で余白を調整してくれます。
# constrained_layoutは、suptitle、fig.legend、colorbarsなど、Figureレベルの要素も考慮に入れて
# レイアウトを構築するため、より複雑な図でも破綻しにくいという利点があります。
# 特にGridSpecなどを使った複雑なレイアウトでは、constrained_layoutの使用が強く推奨されます。
fig, axs = plt.subplots(2, 2, figsize=(9, 6), constrained_layout=True)

# 同様に、各サブプロットにデータをプロットし、タイトル、グリッドを設定します。
for i, ax in enumerate(axs.ravel()):
    ax.plot(y_data[i])
    ax.set_title(titles[i])
    ax.grid(True, linestyle=&quot;:&quot;, alpha=0.7)

# constrained_layout=Trueを指定しているため、明示的にplt.tight_layout()を呼び出す必要はありません。
plt.show()</code></pre>
<div class="colab-figure"><img decoding="async" 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IZ0UYZ0UYe0UcbdulCE0IdgjOGK5/ahqq0PH91xOqYlR8l/21XWihtfEdPWbpiTgpeuWzkqKQ9BEARhjz/c+z3BZHVgjOGHz+1Dfn2P3fFz5qXiP9eudFEtCYIgCFdCEUI3IQgCWlpa5NSuruRYox4F9T0wGK34/Scl8nHGGLZ9VSH//5vj7fiq1Lf213KnLv4M6aIOaaMM6aIM6eJdOI7De7euxmc3L8IzVy3BFcuyAABFTXov18w3oP6pDOmiDOmiDmmjjLt1IYfQSRhj6O3tdUvI9oOCJrm8+3g7dpWJTt+XJa0oaTYgKlSLq1ZNAQD8/tNSn5qq405d/BnSRR3SRhnSRRnSxfswxhDCG3HhwnTcd8FcAEB7rwlWnn64Uf9UhnRRhnRRh7RRxt26kEPoJFqtFrNnz5Y3m3QVFl7AJ4XNAIDluQkAhpy+J23RwevXTsODF81DRlw4GrsH8ew3VS6tw2Rwly7+DumiDmmjDOmiDOnifYa3QVJ0GLQaDgIDOvrM3q6a16H+qQzpogzpog5po4y7dSGH0EkEQUBjY6PLQ7Z7KtvR2W9GcnQoXrxuJdJiw1DXOYCfvngIx1t7EROuw83rpiMyVIcHfjAfAPDPb6tQ1+kbCWbcpYu/Q7qoQ9ooQ7ooQ7p4n+FtoNVwSI0Rt306aTB6uWbeh/qnMqSLMqSLOqSNMu7WhRzCCWAymVx+zQ8KxOjgxYszERcRgvs3zgMAHKrpAgDcdPp0xEWGAAA2LkrH2plJMFsF/P6TUpfXZaK4Q5dAgHRRh7RRhnRRhnTxPsPbIC02HABwUk8OIUD9Uw3SRRnSRR3SRhl36kIOoZNoNBrMmDHDpXuj9Bot2FFyEgBwxdJsAMAlizOxamoiACAuIgTXnz5VPp/jODxyyULoNBx2lbfJaw29iTt0CQRIF3VIG2VIF2VIF+8zsg3SbQ5hK0UIqX+qQLooQ7qoQ9oo425dSG0nEQQBdXV1Lg3ZflF8EiargBkpUViYJaaE5TgOf7piEZbnJuD3ly5AbHiI3XtmpkbjxtOnAQAe+cQ+wYwgMOypbEdHn+dGWNyhSyBAuqhD2ihDuihDunifkW2QHmeLECo4hNuLWnCirdej9fMm1D+VIV2UIV3UIW2Ucbcu5BD6AFJ20cuXZtntLTgzNRr/u20NLl2Spfi+O8+ehbTYMNR3DeDf31UDEDe2/8XbBbjmhUO4739F7q88QRAEEZSkxoprCFtHTBktbtLjtjfy8Yu3jnqhVgRBEISzkEPoJBqNBrm5uS4L2bboB7G/uhMAVB0/NaLDdPJaw398cwLFTXpc88JBfHqsBYD4UPYUrtYlUCBd1CFtlCFdlCFdvM/INpCmjI6MEJafFCODJ9r7IAjBkTqe+qcypIsypIs6pI0y7taF1HYSQRBQVVXlspDtV6WtYAxYOTUBOYmRTr//ksWZOHVaIowWAZc8sxeHa7sRHaYDID6kB82e2avQ1boECqSLOqSNMqSLMqSL9xnZBmoOYb0t+7XZKnh06YI3of6pDOmiDOmiDmmjjLt1IYdwAoSFhbnsWqXNBgDAadOTJvR+juPwyKUL5P2gsuIj8P7P1yA2XHQKaz24LYUrdQkkSBd1SBtlSBdlSBfvM7wN0mxrCEdOGa3rGpDLDd2DnqmYD0D9UxnSRRnSRR3SRhl36kIOoZNoNBpkZ2e7LGQrTa2Zkx4z4WvMTY/F41cswg+XZeODn6/B7LQYTEuJBgDUdnjGIXS1LoEC6aIOaaMM6aIM6eJ9RraBFCHsN/PoNVrk8+o6hxzCxu4BBAPUP5UhXZQhXdQhbZRxty6ktpPwPI+Kigrw/OSnYgoCQ0Wr6BDOnYRDCACbVuRg6+bFSLU9oKclidNPazwUIXSlLoEE6aIOaaMM6aIM6eJ9RrZBVJgOMbYlCsO3nqgb9txpDJIIIfVPZUgXZUgXdUgbZdytCzmETsJxHGJiYuyygU6Uxu5BDJh5hOo0mJoU5YLaDTE1WbyepyKErtQlkCBd1CFtlCFdlCFdvI9SG0jTRk/qxbWCBqMF3QND0cJgiRBS/1SGdFGGdFGHtFHG3bro3HLVAEaj0SAjI8Ml1yo/Ka4fnJkSDZ3Wtb75NNkh9MzD2JW6BBKkizqkjTKkizKki/dRaoP02HCcaOuTE8vUd9o/c4IlQkj9UxnSRRnSRR3SRhl360IRQifheR5lZWUuCdkeP+ma6aJKSBFHT04ZdZUugQTpog5powzpogzp4n2U2iDNtkxBmjIqrR/UacRR7GBxCKl/KkO6KEO6qEPaKONuXcghdBKO45CUlOSSkG25bf3gbHc4hLYIYXuvCX0mq8uvPxJX6hJIkC7qkDbKkC7KkC7eR6kN0uNsm9NLDmGXOAi5dEo8AKCpezAo9iKk/qkM6aIM6aIOaaOMu3Uhh9BJNBoNUlNTXZLl57gLMoyqERcRgsSoUACeWUfoSl0CCdJFHdJGGdJFGdLF+yi1gbwXod5+yuip05Kg1XAw8wLag2AvQuqfypAuypAu6pA2yrhbF1LbSXieR3Fx8aRDtiYrjxqbo+aOKaMAMNWWadQTexG6SpdAg3RRh7RRhnRRhnTxPkptoDZldHpKlOwsBkNiGeqfypAuypAu6pA2yrhbF685hC+88AIWLFiArKwszJs3D//617/GPP+SSy5BUlISsrOz5de6des8VNshOI5DRkbGpEO2VW394AWG2HCd/NB0NdOSxb0Ia9rd7xC6SpdAg3RRh7RRhnRRJth1KSkpwcaNG5GdnY0pU6bguuuuQ1dXl0froNQG6VKWUSmpjG1T+tykSGQnRAAIjnWEwd4/1SBdlCFd1CFtlHG3Ll5xCF977TU8/PDDeOedd9DU1IT3338fv/vd7/DWW2+pvqexsRGvv/46Ghsb5deePXs8WGsRjUaDpKSkSYdsj7eKGUbnpse6rXGnJXtuL0JX6RJokC7qkDbKkC7KBLMunZ2dOOuss3DhhReioaEBx48fh9FoxFVXXeXReii1gTSg2d5rwqCZR7NedP5yk6KQnSA+g4LBIQzm/jkWpIsypIs6pI0y7tbFK2ofOHAATzzxBBYsWAAAmDdvHq6++mq8++67qu9pampCTk6Op6qoCs/zKCwsnHTIttyN6wclPLkXoat0CTRIF3VIG2VIF2WCWZf8/HyceeaZuPPOO8FxHCIiIvDb3/4WO3bsgF6v91g9lNogKToMWg0HgQEFDd1gDIgK1SIpKhQ5iWKEsKErOKaMBmv/HAvSRRnSRR3SRhl36+KVfQj/8Y9/jDpWVFSEzMxMxfPNZjPa29sxZcoUd1dtXDQaDXJzc8f10Os7BzBo4VUdPncmlJGQtp6o7XT/w9hRXYIN0kUd0kYZ0kWZYNbl3HPPxbnnnmt3rKioCGFhYQgLC/NYPZTaQKvhkBoThha9EYdqxCmsU5KiwHFc0EUIg7V/jgXpogzpog5po4y7dfG62haLBXfeeSf279+Pe+65R/Gc5uZmhIeH4/nnn8fSpUsxffp0XH311aivr1e9rslkgsFgsHsBgCAI8r9KZZ7nxyxzHIeYmCEnjud5MCam1LZarWCMgRcYfvjc97jgqe/w7++qYLFYwBgDYwxWq7gFxPA9CBljssc/vCwIgkNlNZum2EZnu/rN6Ok3jWufZIeSTcPLkh3DyxzHIS4uTtEOV9rkaDu5wiap7sPLztokCALi4+PBGAsYm1zVTowxxMfHQxCEgLHJFe3E8zzi4+PlcwLBJle0E2MMMTEx4DjOaZsCjS+//BK33XYbfvOb3yA8XHkNujuegWrfWSmxzMHqTgBAbmIkrFYrsuLF4w3dAwH9naVnID0DnbVJEATExopLhgLFJnoG+vcz0KsOYX19PdatW4ddu3Zh7969WLhwoeJ5er0eKSkpyMjIwL59+1BUVITk5GScddZZ6O9Xng752GOPIS4uTn5J001ra2sBAA0NDWhoaAAA1NTUoLm5GQBQVVWF1tZWAEBFRQU6OjoAAGVlZeju7gbP89i9eze6u7sBAIWFhejr6wMAFBQUYHBwEHWd/WjvM4Mx4I+fl+PWF76F0WyB2WxGXl4e9AMWtNhSdM9Oj0FfXx8KCwtlW4uLiwEA3d3dKCsrAwB0dHSgoqICANDa2oqqqioAorNcU1OjaJOhsw0pMeLo8ZGKBlWbAKC4uFieeqRkEwDk5eXBbDaD53nk5eWB53nZJp7ncfjwYeTn5wOA22xytJ1cYRMADA4OoqCgYMI2nThxAvn5+WhsbAwYm1zVTp2dncjPz0dRUVHA2OSKdpK+R/39/QFjkyvaqaWlBXv27AHP807b5Mu0t7fbJUsb+dq2bZt8Ls/zuP/++3HFFVfg0UcfxUMPPaR6XXc8A9W+s8mR4mSjI3VihDA3KRJ5eXlIixaPN3YNwGKxBux3lp6B9Ax01qbS0lIcPHgQPM8HjE30DPTvZyDHJLfWwxw5cgQbN27ENddcgz/+8Y9OT3vheR5xcXF47733cMEFF4z6u8lkgsk0tPeRwWBATk4Ouru75RFOQAzBDi/zPA+O41TLHMdBr9cjNjZWPq7RaMBxHKxWK7RaLbYXn8TP38hHbLgOvSYrGAPWzEjCs1cvQ3SoBvkNBmx+fj8y48Kx7zdnyyNnWq3WriyNwo5XVrJDKv/fvw7iUG0Xnty8GJcvyx7TPskOJZuGlyX9R5Z7e3sRERGBkJAQt9rkSDu5wiadTieP2khlZ20SBAGDg4OIjIyU6+XvNrmqnQBgYGAAERERct393SZXtJPVaoXRaERUVBQEQQgIm1zRTjzPo6+vD7GxsfJorCM29fX1IS4uTr5v+ytGoxFXXHEFOjo68Nprr2HOnDljnu+OZyCg/J39/adleGV/nfxZf7x8Ia5cngUGDnN/9yV4gWH/fWchPS48IL+z9AykZ6CzNlmtVvT39yM2NhaCIASETfQM9O9noFfWENbX12Pjxo145plnsGnTJofeI31hJCTx1DJ0qq2tkK4x/Fp26yFsjTdWWQpljzyu04lylrWIU3MuXJiB8xak4RdvFWBfVSeueHYfXrxuJY6ftGUYzRAbhuM4+TrDy2p1dKY8NTkSh2q7UGdb1O+IfUo2OVIe3tHcadNE7JioTRzH2ZWdtUmj0dhNMQ4Em5wpj1f3kdoEgk1jlR2xKSQkBCEhIXaf6+82uaKdtFot4uLi5POdsSkQuOaaaxAVFYUPP/wQoaGh457vrmeg0nc2PS7C7lhuYpTczhlx4WjsHkRTzyAy4iMC8jtLz0B6Bjprk06nk+9ngWITPQP9+xnolSmjt956K37+85877Azu27cPc+bMweHDhwGII6V33XUXsrOzsWHDBjfWdDRWqxWHDx+W5wArUdbSCwCYlxGDs+el4b3b1iAzLhzVHf247Nnv8dFRMZzrzoQyEtJehO7ONOqILsEI6aIOaaMM6aJMMOvyzjvvoLi4GK+//rpDzqC7UGuD9Dh7xzM3KVIuB8tehMHcP8eCdFGGdFGHtFHG3bp4xSHcvn07nn32WcX1EoC452B2dra8DcWaNWvwwAMP4JZbbpHPa25uxo4dOzyaYQ0QPe4FCxaM6XlLEcJ5tgjgvIxYfHjHWizOiUfPgAV5deJ85LkecQilvQjdm2nUEV2CEdJFHdJGGdJFmWDWZfv27WhsbMSMGTNGPTPH2q7J1ai1gZRUBgB0Gg4ZcUP/H8o0GthbTwRz/xwL0kUZ0kUd0kYZd+vilSmj4y1bzM7ORmNjo92xa6+9Ftdee607q+UQHMchMjJS9e/6QQuaesSR0LnpQ9NHUmPC8d+fnYZfv1uIz461jPq7u/DUXoTj6RKskC7qkDbKkC7KBLMuL730El566SVvV0O1DdJjhzuAEdBph8aac4Jk64lg7p9jQbooQ7qoQ9oo425dvL7thL9htVpx4MAB1ZCttJ1EVnwE4iJD7P4WHqLF0/+3FA9dPB+/PGcWZqdFu72+uYmiQ6gftKC73+y2zxlPl2CFdFGHtFGGdFGGdPE+am0wPEI4xbb/rUQwTRml/jka0kUZ0kUd0kYZd+vilQihP6PVarF06VLVkK00XVRtOqhGw+H6tdPcVr+RRIRqkREXjha9EdUd/Vge5Z71J+PpEqyQLuqQNsqQLsqQLt5HrQ2iwnSICROzaucm2o9gSw5hQxBMGaX+ORrSRRnSRR3SRhl360IRwgkwVmOUn7RfP+gLTE8RR2yr2vvc+jn05VWGdFGHtFGGdFGGdPE+am2QZls3ODyhDABk2xzE5p5B8IJXdrnyGNQ/lSFdlCFd1CFtlHGnLuQQOsnwzSaVKJUzjPqOQzgzRZyaWtXmPodwPF2CFdJFHdJGGdJFGdLF+4zVBgszxWfe0inxdsfTYsKg03Cw8AxtvUZPVNMrUP9UhnRRhnRRh7RRxt26kEPoJFqtFitWrFD00nmBDdtj0P0ZRB1lZqroEJ5wo0M4li7BDOmiDmmjDOmiDOnifcZqg8d/eAp23r0ey3MT7Y7rtBpkxIvRw0BeR0j9UxnSRRnSRR3SRhl360IO4QRQ887rOvthtAgID9Fg6oiF9d5khuQQunnKKI3mKEO6qEPaKEO6KEO6eB+1NggP0WJmqvJAqJRptNrNzyBvQ/1TGdJFGdJFHdJGGXfqQg6hk/A8j4KCAsVGkTakn5MWA62G83TVVJEihA1dAzBa3NOZxtIlmCFd1CFtlCFdlCFdvM9E20CaRnqgussNtfINqH8qQ7ooQ7qoQ9oo425dODbepoABgsFgQFxcHPR6PWJj3bO+b+uO43j66xP4v5U5ePyHp7jlMyYCYwyLH9kBg9GK7Xet86n1jQRBEO7EE/d+f8CbOuyr6sCP/30QKTFhOHT/2eA43xkwJQiCCGQcvfdThNBJGGMYGBiAkh8tbTnhaw4Xx3FuX0c4li7BDOmiDmmjDOmiDOnifSbaBstzExAeokF7rwkVrYE5bZT6pzKkizKkizqkjTLu1oUcQifheR4lJSVjThlV24PQm0gOYaWbHMKxdAlmSBd1SBtlSBdlSBfvM9E2CNNpsWpaEgBgT2W73d8YYzBbBZfV0VtQ/1SGdFGGdFGHtFHG3bqQQ+gkOp0OK1euhE6nszuuH7SgqUfMoDbXxyKEADDLttjfXVtPqOkS7JAu6pA2ypAuypAu3mcybXD6TNEh/P5Eh93xJ7+qwNwHtyO/vtsldfQW1D+VIV2UIV3UIW2Ucbcu5BA6CWMMvb29o0K25bbpolnxEYiLCPFG1cbEE1NGlXQJdkgXdUgbZUgXZUgX7zOZNjh9ZgoA4GBNlxwR7Oo34/nvqiEwYGdpq0vr6mmofypDuihDuqhD2ijjbl3IIXQSQRBQWVkJQbCf4lLSLK0f9L3posCQQ1jT0Q8r7/rpOWq6BDukizqkjTKkizKki/eZTBvMTY9BUlQoBsw8CmzRwDcO1MFkcw7LT/a6tK6ehvqnMqSLMqSLOqSNMu7WhRxCJ9FqtVi2bJndxpCMMXxQ0AQAWDE1Ue2tXiUrPgLhIRqYeQENbtgcWEkXgnQZC9JGGdJFGdLF+0ymDTQaDmtmJgMQp40aLTxe2V8n/12aZeOvUP9UhnRRhnRRh7RRxt26kEPoJIwx9PT02IVs8+u7UdSkR6hOg80rcrxYO3U0Gg7Tk903bVRJF4J0GQvSRhnSRRnSxftMtg3W2RzCPSc68HFhMzr6TEiJCQMANOuN6Bkwu6yunob6pzKkizKkizqkjTLu1oUcQicRBAF1dXV2IduX94mjnJcuzkRiVKi3qjYuQ5lGXT81R0kXgnQZC9JGGdJFGdLF+0y2DdbOEh3CwoYePPdNFQDg5nXTkBUfAWBy00aLm/T4x+4TuP3NfJy19Rss+f2OUQlsnOW/h+vxr++qHPoBRv1TGdJFGdJFHdJGGXfrQil8nESr1WLx4sXy/0/qjdhe1AIAuHbNVC/VyjHcmVhmpC6ECOmiDmmjDOmiDOnifSbbBlnxEZiWHIWajn7UdPQjKlSL/1s1BYdqutDUM4jyFgNOm57k9HUNRguueG7fqO0rPixowlpbVNJZeo0W/Ob9IghMTIgzP3Ps7OHUP5UhXZQhXdQhbZRxty4UIXQSQRDQ2dkpe+hvHKyDVWBYOTUBC7PivFy7sZEcQndsPTFSF0KEdFGHtFGGdFGGdPE+rmiD04c5aFeunILY8BDMs23VNNEIYWPXIMxWAZGhWtx34VzcdfYsAEBRk37C9Sxr6YVgCwzuKhs/Ayr1T2VIF2VIF3VIG2XcrQs5hE5w/GQvbnsjH9+X1IExBpOVx5sH6wEA162Z5uXajY/sELb3u3wOMmMMLS0tNOd7BKSLOqSNMqSLMqSL93FFG0gROw0HXL92KgBgbrroEJZNMLFMW68RADAlMRK3njEDV62aAgCobOvDoHlimziXNA85kzvL28Y9n/qnMqSLMqSLOqSNMu7WhaaMOsHfd1Xiy5JWfFkCfForYHZaDDr7zUiPDcd5C9K8Xb1xmZoUBa2GQ5/JipMGIzLiIlx2ba1Wi4ULF7rseoEC6aIOaaMM6aIM6eJ9XNEGZ85NwaVLMrEgMxY5iZEAgLm27ZqOt/aCFxi0Gs6pa7b1mgAAabHhtn/DkBwdho4+E0pbDFiem+B0PaWtpABxzWNbrxGpMeGq51P/VIZ0UYZ0UYe0UcbdulCE0Al+ec4sXHxKBjgAO0pb8czuEwCAa1bnIkTr+1KG6jTITRIfwK5eRygIAtra2ijEPwLSRR3SRhnSRRnSZYjNmzeD45xzmlyBK9ogTKfFU/+3FD9bP0M+NjUpCuEhGhgtAuo6+52+ZrvNIUy1ZSzlOA6nZItLOIonOG1Ucgh1Nud09zhRQuqfypAuypAu6pA2yrhbF696MS+//DIWLlyI7OxsrFq1Ct9//73quU1NTbjyyisxdepUZGVl4e6774bZ7NkU1bPSYvC3Kxfjn5dmi44hB8SG6/B/K31zqwklZqbYMo22utYhZIyhs7OTQvwjIF3UIW2UIV2UIV1EXnnlFZSXl3vls93VBloNhzlpYpRwIusI2wzilNHU2DD5mLSm/1ij8w6hycqjslWsxw+XZQMAdpaN7RBS/1SGdFGGdFGHtFHG3bp4zSF8/fXXcf/99+O9995DY2MjtmzZgh/84AeoqakZda7ZbMa5556LKVOmoKqqCiUlJcjPz8fdd9/t8XprtVqcv3oxnv7xMuzdcha+/NV6JEWHjf9GH0HONNruWodQq9Vi3rx5tJHoCEgXdUgbZUgXZUgXoKamBv/v//0/PPXUU175fHe2wWTWEbYapAjh0JTOU7ImHiGsbO2DVWCIiwjBT9fkAgD2VLbDaFFfj0j9UxnSRRnSRR3SRhl36+I1h/CRRx7BPffcg7lz5wIAfvjDH2L9+vV45plnRp377rvvoq2tDX/605+g1WoRHx+Pbdu24T//+Q86Oia3z5CzCIKAlpYWCIKArPgIl67D8wSSQ1g0gVHTsRiuCzEE6aIOaaMM6aJMsOvC8zx+8pOf4J577sG0ad5JYubONpDWEZa1TCBCaEsqI00ZBYBFtimjlW29GDBbnbqelFBmfkYs5mfEIjMuHEaLgH1V6r83gr1/qkG6KEO6qEPaKONuXbziEDY0NODEiRO46KKL7I5ffPHF2L59+6jzv/76a5x33nkICQmRjy1btgyJiYn4+uuv3V7f4TDG0Nvb67eh7LUzkxGq1aCoSY8D1Z0uu66/6+IuSBd1SBtlSBdlgl2XP/3pT9DpdPj1r3/t0PkmkwkGg8HuBUD+MSEIgmKZ53nVMs/z6O3thdVqlduB53m5PPy4VGaMjSoDGFWenRoFACg/aQDP83K9HClLSWWSo0Pl+qZEhyI1JgwCA4obe+Tj3x5vxfonvsbeyo5R9kl1L7YNmC7IjAXP8zhrbioA4KuSk6o2McZgMBjsbJLqOLzsqE2TaSclm1zVTs7aZLVa0dvba1cvf7fJFe1ktVphMBjkzwwEm1zZTr29vXL/CRSbJttOPM9Dr9eDMea0TY7gFYewqakJAJCZmWl3PDMzU/7byPNHngsAWVlZiucD7nkYCoIArVaLGTNmQKPRyMf96cubHBWCTSvENRFP7axwWUfXarWYNWuWfC59eYf62uzZs8FxXMDY5Kp24jgOs2fPlj87EGxyRTsxxjB79mxoNJqAsckV7cRxHGbMmAGtVuuWh6G3aG9vR3Z2tupr27ZtOHToEP72t7/hlVdekZ894/HYY48hLi5OfuXkiGvda2trAYgDsw0NDQDEqajNzc0AgKqqKrS2ivvuVVRUyLNwysrKYDAYMHv2bJSVlUGvF52mwsJC9PWJSxAKCgowODgIAMjLy4PZbAbP88jLywPP8zCbzcjLywMADA4OoqCgAADQ19cHa4e4hVNj9yAO5h8DAHR3d6OsrAwA0NHRgYqKCgBAa2srqqqqAIi/D1ptawj5vi47m2YmiRHD3YXVaG1tBWMMj350DPVdg/jbzgqUlZWhu7sbAFBcXCzbdLiqBQCwICsWBQUFOH16PADgy6JmmEwmRZu0Wi1ycnJQWFgo2ySV9Xo9iouLHbapublZXj4zkXZSsslV7eSsTbW1tZg9ezZaW1sDxiZXtFNFRQWSk5Oh1WoDxiZXtVN+fj5mz54Ns9kcMDa5op06Ojqg0Wig1WqdtskhmBfIy8tjAFh/f7/d8c8++4zFxMSMOv+iiy5i995776jjK1euZFu3blX8jIceeogBGPUqKChgjDFWW1vLamtrGWOMnThxgjU0NDDGGDt+/Dhrbm5mjDFWWlrKWltbGWOMFRUVsY6ODsbzPPv+++9ZZ2cnY4yxI0eOMIPBwBhj7NChQ7JN+/fvZ0ajkVksFrZ//35msViY0Whk+/fvZ4wx1t/fzw4dOsQYY8xgMLAjR44wxhjr7u5mR48eZYwx1tHRwYqKihhjjLW2trLS0lLGGGPNzc3s+PHjjDHGGhoa2IkTJ5yyqbCyns28/zOWu+VT9tXRasYYY0ePHmXd3d0TtonneVZVVcUOHjzoFZtGtpMrbHJFO5WXl7OGhgZWV1cXMDa5qp3a2tpYQ0MDKygoCBibXNVODQ0NrLe3N6Bsmmw7NTY2ssOHDzOe552ySa/XMwBMr9czf6S/v5/NnDmTvfTSS/KxmpoaNt7j22g0Mr1eL78aGhoYALkNeZ5nPM+PKlutVtWyxWJhDQ0NzGw2M0EQ5ONS2WKxjCoLgjCqzBgbVbZarey0P+1kuVs+ZQdOtMv1slqtY5a7+owsd8unLHfLp2zAaLazaduOcpa75VN211v5jOd5dqSuSz43d8unrPKk3s4+QRAYzwts/oPbWe6WT9nxkwZmsVjYoMnC5tmOHaruYK36QVbdqmd9RrNsB8/zrL6+nplMJjubRpYdsUmtbRxtp5E2ubqdnLHJbDazhoYGWaNAsMkV7WQ2m1l9fb18vUCwyVXtZDKZWENDg3zPCQSbXNFOFouF1dXVyfV21CZHn4EcY8zj829aW1uRnp6OyspKzJw5Uz7+n//8B1u3bpU9Y4nbbrsNvb29eP311+2OZ2dnY+vWrbjyyitHfYbJZILJZJL/bzAYkJOTg+7ubsTHx8sjxxqNxq4sRS7UyoDodU+fPh1arRY8z0Oj0YDjODlSNrwMiCPVw8s6nU4eEZfKgi36OLwsCAIYY+OWlewYz6bffliMtw41YN2sZLx246l2dkzEJo1Gg+rqakyZMgWhoaFesUmpPBmbXNFOPM+jvr4eubm50Gg0AWGTq9qJMYa6ujpMmTIFOp0uIGxyRTtZLBY0NDRg6tSpYIwFhE2uaCer1YqamhrMmDG0XYEjNvX19SEuLg56vR6xsbHwN44ePYqlS5eq/v3qq68e9WxUwmAwTFoHQRBQU1ODadOmORypdIbrXzqE3cfb8eilC3DN6qkOvaeytRfnPvkd4iJCUPjQeXZ/21XWihtfycOs1Gh8dfcZ+NV/j+KDgqFZRbefOQP3nj/X7j3V7X04a+u3CNNpUPLI+dDZtpT62at52FFqP9qeGBWKb+7dgNjwELdr46+QLsqQLuqQNspMVBdH7/1eUTotLQ2LFy/G559/bnf8yy+/xAUXXDDq/PPPPx9fffWVPNUIAEpKStDe3o6zzjpL8TPCwsIQGxtr9wIgiyj9OB9Z1mq1Y5Y1Gg1mzZol/9CRfggBkH/UDi9zHDeqDGBUWbre8LIUGh6vPBGbfr5hJnQaDnsqO5Bf321nx0Rs0mg0mDlzJkJDQ71mk1J5Mja5op1CQkIwY8YMWaNAsMlV7aTT6TBjxgyEhIQEjE2uaKfQ0FB5amSg2OSKdtLpdJg1a5Zcb2ds8meWLFliN52YMSZPFWKMOeQMugqNRmO3ZMLVzM2wZRp1YuuJthF7EA5nkS3T6In2PjR0DeCzY+JU0FvPEAcV/nekCbxgPyYu7T84LyNWdgYB4KpVU+Q9CTlOfHX1m7HvhLgW393a+CukizKkizqkjTLu1sVram/ZsgVPPPGEPDf2ww8/xI4dO3DHHXeMOveiiy5CSkoKHnzwQfC8uKjyzjvvxPXXX4+UlBSP1lsQBNTV1fnF2pSxyEmMxBXLsgAAT++qnPT1AkUXV0O6qEPaKEO6KEO6eB93t8E8m0NY7sTWE3KG0djRDmFqbDjSYsPAGPC7j4ph5gUszonHr86dhbiIEJw0GPH9CfvMoZJDuCDTfiT9zLmpKH7kfJQ/egGq/7QRPzlV3I5CSs5G/VMZ0kUZ0kUd0kYZd+viNYfwqquuwoMPPoiLLroImZmZ+OMf/4hPP/0UM2bMQGNjI7Kzs/Huu+8CEEeGv/jiC5SWliInJwcLFizA4sWLvbYXU6Bw+5kzodVw2H28HaXNzu/9RBAEQXgeaTpxoDEvfWjrCSvv2I8epT0Ih7MoKx4AsPt4OwDgmtNyEabT4tIlYqK6d4802p0vbTmxIDNu1LXCQ7QIDxGj42tmJAHAmFtREARB+As6b374LbfcgltuuWXU8ezsbDQ2No469tFHH3mqaqpoNBrk5uZ6uxouITcpCufMS8WXJa34qrQV8zMnvr4mkHRxJaSLOqSNMqSLMqSL93F3G0xPiUZUqBb9Zh6VbX1yxHAs2gzqU0YB4JTsOOwsE9f+JUSG4KJTMgAAm5bn4NX9dfiy5CT0gxbERYSAMSYPjo6MEI7ktOmiQ1jR2of2XhNSYsKofypA31tlSBd1SBtl3K0LTdB1EkEQUFVVFTCh7DPniPsr7alsn9R1Ak0XV0G6qEPaKEO6KEO6eB93t4FWw+GU7HgAQGFDj0PvkaaMpqg4hNI6QgDYvDIH4SHimtSFWbGYmx4Ds1XAJ4VimvZWgwmd/WZoNRzm2KKVaiREhcoO64HqTuqfKpAuypAu6pA2yrhbF3IIJ0BYmPKDxx85fVYyAKCgoQcGo2VS1wokXVwJ6aIOaaMM6aIM6eJ93N0Gi3PiAQCFjT0OnS8nlYlVmTKaHQethoOGg7zuDxATGf1oubgn77/3VGPbjuP4x+4TAICZKdGy4zgWQ9NGxXWE1D+VIV2UIV3UIW2Ucacu5BA6iUajQXZ2dsBkP8pOiMT0lCjwAsN+20NtIgSaLq6CdFGHtFGGdFGGdPE+nmiDJTaHsKC+x6Hz28fIMgoAydFheO7qZfjPtSuQkxhp97fLlmYhVKtBXecA/v71Cbx2oA7A+NNFJVbbpo0eqO6k/qkC6aIM6aIOaaOMu3UhtZ2E53lUVFSA53lvV8VlrJ8lZmqdzLTRQNTFFZAu6pA2ypAuypAu3scTbSA5hBWtvRgwW8c+GUCbQZwymqYSIQSA8xak46y5aaOOJ0eH4dUbV+Gus2fhJ6dNwcZF6Th7bipuWjfdobqump4IDQfUdPSjsauf+qcC9L1VhnRRh7RRxt26eDWpjD/CcRxiYmLkfbcCgXWzkvHyvlrsqZx4trRA1MUVkC7qkDbKkC7KkC7exxNtkB4nbhXRajChqFGPU21ROCX6TVb0m8UfR2oRwvE4bXqSnCDGWWLDQ7AoKw6FjXocrOnCmkzqnyOh760ypIs6pI0y7taFIoROotFokJGREVCh7NOmJyFEy6GucwB1nf0TukYg6uIKSBd1SBtlSBdlSBfv46k2WOLgOkJp/WBUqBZRYd4Z3149Q1yHv7+6i/qnAvS9VYZ0UYe0UcbdupDaTsLzPMrKygIqlB0VpsOyKQkAgO+GRQktvICGrgGHrhGIurgC0kUd0kYZ0kUZ0sX7eKoN5MQyDfoxz2s1SJvSq08XdTerh+1HWFpaSv1zBPS9VYZ0UYe0UcbdupBD6CQcxyEpKSngQtnrZ9vWEVaI6wgHzTyu+tcBrHtiNw7VdI37/kDVZbKQLuqQNsqQLsqQLt7HU20gRQiPjrP1hBQhVNtywhOsnJoAnYZDc48RJl30KG2+q2jH2se/xhsH67xUQ+8SzN9bQWDoGTAr/i2YdRkP0kYZd+tCDqGTaDQapKamBlwoe51t+4n9VZ0wWXnc9XYB8uq6AQAfHm0a9/2BqstkIV3UIW2UIV2UIV28j6faYFFWHDgOaOoZlPcZVEJKKDPR9YOuIDJUh6VT4gEAx3tgp01xkx63vX4ETT2DePNgvXcq6GWC9XvbM2DGFc/tw/I/7MSJtt5Rfw9WXRyBtFHG3bqQ2k7C8zyKi4sDLpS9IDMOCZEh6DVZcd2Lh7GjtFX+287SVggCG/P9garLZCFd1CFtlCFdlCFdvI+n2iAmPAQzU6IBjD1tdGjLCe9NGQWG1hH+8dMSfFooDqA29QzihpcPy0lvyloM6DeNnzU10Ai0722/yYq7/3sUu8vbVM/p6DPh//51AEcbesALDPl1PaPOCTRdXAlpo4y7dSGH0Ek4jkNGRkbAhbK1Gg5rZ0qL4zvBccDfrlyCqFAt2npNKGoaey1HoOoyWUgXdUgbZUgXZUgX7+PJNpATy4wxbXRoU3rvbmJ93ZqpWJAZi16zgDveOoq7/3sU1714CG29JsxJi0FabBgENrYtgUqgfW8/KWzG+wVN+O0HRYoD5Sf1Rlz5/H6UnxyKCjb2DI46L9B0cSWkjTLu1oUcQifRaDRISkoKyFC2tB8hAPx24zxctjQLZ8wRj+0sa1V7G4DA1mUykC7qkDbKkC7KkC7ex5NtsNiBTKPSdNI0LzuEiVGh+ODna3HHmTOh4YD3C5pQ2daHtNgwvHT9SqyaJiaekZZhBBOB9r2VHL1mvRGHa+3zK3T3m7H5+f2oau9HZlw4Ni3PBgA0dY92CANNF1dC2ijjbl1IbSfheR6FhYUBGcq+cFE6zpidgnvPnyNvzHvOPHEz369Kx3YIA1mXyUC6qEPaKEO6KEO6eB9PtsHwxDJqSxbaDL4xZRQAtBzDuelGvH3zqZiaFInEqFC8dN0qZMZHYEWumMX7SBA6hIH2vS0/aZDLHx5ttvvbi9/XoL5rADmJEXjn1tVYM1McCGjqGZ2tPdB0cSWkjTLu1oU2pncSjUaD3NzcgBy5iAkPwSs3rLI7duacVGg1HMpP9qKhawA5iZGK7w1kXSYD6aIOaaMM6aIM6eJ9PNkGc9JjEKbToNdoRU1nP2bY1hQOp9UHkspISNrExcVh9z0bYLIKCA/RAgCW2xzC/PpuCAKDRhM8U+EC6XvLGMPxYVNBPy9qwSOXLECoTgOjhccbtsRB9184D9kJkWjuEftnk8KU0UDSxdWQNsq4WxdS20k4jkN8fHzQzG1OiAqVRzd3jTFtNNh0cRTSRR3SRhnSRRnSxft4sg1CtBosyooDAByt7xn1d6OFh8EoJmnxhQjhcG04jpOdQQCYmx6DiBAteo1WnGjv82ItPU8gfW/be03oHrBAwwHJ0WHQD1rwzXExucwHBU3o6jcjOyEC5y1IBwBkJUQAAFp6jOBHRLkDSRdXQ9oo425dyCF0Ep7nkZ+fH1Sh7HPni9NGd5apZ9UKRl0cgXRRh7RRhnRRhnTxPp5ug2W2wciRa7WAoQyjoToNYiO8P9lpLG10Wo08BTavNrimjQbS91ZaPzg1OQqXLckEAHx0tBmMMby4twaAmGBIa4sAp8WEQavhYBXYqO1TAkkXV0PaKONuXcghdBKNRoNZs2YFVSj7bNs6wgPVnTAYLYrnBKMujkC6qEPaKEO6KEO6eB9Pt8Gp0xIBAAdrRjuE0g/s1Jgwn4gkjKfN8iBdRxhI31tpuujc9BhctjQLgJhw7/Oik6hs60N0mA5XrsyRz9dpNUiPFaPXIxPLBJIuroa0UcbdupDaTsJxHGJiYnziAeQppiVHYWZqNKwCwzfH2xXPyavrRpdZE1S6OEIw9hdHIW2UIV2UIV28j6fbYMXURGg4oKajX14vKDGUUMb76weB8bVZPnVoHWEwEUjfWylCOCctFgsyYzE9JQomq4D7/ncMALB5RQ5iwkPs3iNNGx25jjCQdHE1pI0y7taFHEInsVqtOHz4MKzW4NpgVso2ulMh22hNRz82P78f5277Bh/mN3i6aj5NsPYXRyBtlCFdlCFdvI+n2yAuIgTzM2MBiDNUhtPmI5vSS4ynzbIc0SGs6ehHZ5/Jk1XzKoH0vT3eKmYYnZMu/ii/bIkYJew1WaHhgOvXTh31nux40SFsHBEhDCRdXA1po4y7dSGH0Em0Wi0WLFgArVY7/skBxNnzUgEA+6o6wJj94ugjdd1gDDDzwC/fOYY/f1EuL6Du7jdj9/E2NHSNTrscDARrf3EE0kYZ0kWZYNeF53k8/PDDmD59OjIzM7Fs2TJ89tlnHq2DN9rgVNsefgeq7aeN+soehBLjaRMXGYJZqWKm1GCaNhoo31teYKhsFRMCzU2PAQBcaltHCADnL0hXzMKuFiEMFF3cAWmjjLt18f5KbD+D4zhERipvvRDILMqKg1bDoaPPjFaDCelxQ6Oypc3iqFlWfASaegbx3DdVOFDdiQETj+Ot4hSLKYmR+PbeDUE3BSBY+4sjkDbKkC7KBLsuv/rVr1BVVYX8/HzEx8fjww8/xN13340NGzYgKirKI3XwRhucNj0JL+ytwcEa+whheYv4bEmL840IoSPaLM9NQGVbH47Ud8uZKAOdQPne1nb2w2QVEBGixRSb45ebFIV1s5JxoLoTt5wxQ/F9WbYI4cg1hIGiizsgbZRxty5eixCWlJRg48aNyM7OxpQpU3Ddddehq2v0wnGJ999/H+Hh4cjOzrZ7HT582IO1FkO2Bw4cCLpQdniIFjNt+0AVN+nt/lbaIv7/4mkabP3RIoTpNCio75GdQQCo7xrAyRFrQIKBYO0vjkDaKEO6KBPMulRVVeH555/HCy+8gPj4eADAZZddhtLSUo85g4B32mDV1ERwHFDd3i9HBVv0g9htS/d/rm05g7dxRBspa2p+EEUIA+V7KyWUmZ0WbbeP5PPXLMe3954pZ5EdiVqEMFB0cQekjTLu1sUrDmFnZyfOOussXHjhhWhoaMDx48dhNBpx1VVXqb6nsbERl156KRobG+1eK1eu9GDNxZDt0qVLgzKUvdC2J1TRMIeQMSZHCC88bSGuWJ6Dj+5Yi3vOm43nrl6GvAfOkadXFDcZPF9pLxPM/WU8SBtlSBdlglmXTz/9FEuWLEF6un1UydNaeKMN4iJDMDddXEd40DZt9O1DDRCYmIV0VlqMx+oyFo5oI+3pW9ioh8kaHCn1A+V7KyeUSbfvb5GhOmTaooBKDI8QDl9uEyi6uAPSRhl36+IVhzA/Px9nnnkm7rzzTnAch4iICPz2t7/Fjh07oNfrFd/T1NSEnJwcxb95mmDtpAuzxIdySfNQGzV2D8JgtCJEy2FWmvj3uemxuOOsWbhwUQaSo8OwIFN0JEdGFoOFYO0vjkDaKEO6KBOsulRWVmLq1Kl44YUXsGTJEkybNg2bN29GbW2t6ntMJhMMBoPdCwAEQZD/VSrzPD9mWavVgud5+cft8LLVah1VZoyNKgMYVZb21hpeFgQBPM/jtOni9hMHqjpg4QW8fbgeAHD1abmqdjhj00g7JmqTRqMZ06ZpyVFIigqF2Srg/fwm2b7hto5lhzdscqad1MpardYnbLrnnaP4wd/3oLPP5LRN5S3i92d2WrRT7ZQeEwoAGLTw6Og12tkhLaHxlXZy1CZP9D2tVhtwNrminSSctckRvOIQnnvuuXj77bftjhUVFSEsLAxhYcoLxBsbGzFlyhRPVG9MeJ5HXl5eUG6YKUUIh0f6SmzRwZmp0Th2VHnDzCFHMvgihMHcX8aDtFGGdFEmUHVpb28ftRRi+Gvbtm3geR5ff/016uvrsX//fpSUlCAjIwNnnHEG+vr6FK/72GOPIS4uTn5JA6qSE9nQ0ICGBjErdE1NDZqbmwGI01NbW8Vs0hUVFejo6AAAlJWVobOzE3l5eSgqKpIHbwsLC+U6FBQUYHBQnBqXl5cHs9ls125msxl5eXkAgMHBQRQUFAAA+vr6UFhYCADQ6/UoLi4GAHR3d6OsrExOLLPn+EnsKmtDq8GEuHAtzl+QhubmZtTU1EzYpu5ucfpmcXHxpGzieR6HDh0a0yaO43DNSjHK+8fPylBc3YSKigoAQGtrK6qqqgDAZ2xytp0AoKOjw86mEydOIC8vD42NjV61qUPfj/fym1DSbMCft5c6bVNxg7iGNTXU6lQ7NdbXIjFSTNex/9hx2abS0lIcOHAAPM/7RDv5Wt/Ly8tDf39/QNk02XZqaWnB3r17wfO80zY5AsdGpoz0Al9++SU2b96Mu+++Gw899JDiORs2bMDSpUtRUlKCyspKZGZmYsuWLbjkkksUzzeZTDCZhlI7GwwG5OTkoLu7G/Hx8bLXrNFo7MrSqI1ameM4mM1mhISEyMc1GnH/PWlUY3gZgDxCJpV1Op08GiCVpZHX4WVBEMAYG7esZIczNo20Q80mfb8RS/6wC4wBB+7bgLS4SDz5VQX+/vUJbFqejT9dNh8AEBISYmfHoZpObH7+ADLiwvH9ljN9yiZ3t5NUZ6nvBIJNrmonAPKomlR3f7fJFe1ktVrt+kog2OSKduJ5HlarFaGhoXK/ccSmvr4+xMXFQa/XIzY2Fv7IY489hnfeeUf+IQGImsbFxeG///0vfvCDH4x6jzuegYB3vrMGI4+lj34FQExwVtSkx63rp+G+jfN9pn9rtVp55H/kM3B42WLlsfn5/Sho0GP9rGS8eO1y6HS6gPzO+tIz8NuKdlz30mFbXYAPbluNJVMSHbKpz2jGoke+AmPAofvPQlJUqFPtdMVz+1HYqMezP16CCxZmyJFkQRAQEhICQRC83k6+1PfoGeidZ6DLI4SOjHZK8DyP+++/H1dccQUeffRRVWcQAHQ6Hbq6uvDqq6+iqqoKDz/8MK6++mp88cUXiue7Y3RUGiUoKSkJytGcsqKjmJYkZjj64Nsj4shWUw8AYF5GLPr7+3H06NFRNmVFMnAAWvRGVDW2+ZRN7m6n6urqCY3m+LJNrmwnnueD9vukZtORI+J3K5BscuX3aSI2+Tvr1q2D2Wy2O8YYg0ajUZ1VExYWhtjYWLsXIP5QkP5VKmu12jHL0o8cabrb8LJOpxtV5jhuVBnAqLL0w2l4WaPRQKvVIiEqVF6LXtSkB8cBPz516ph2OGPTSDsmapP043Usm0J0Wvxl0xKE6jT4rrID7x9tsbPV12xypp3UytKPZ2/alF/fY6s3wBjw6GflYIw5ZNOJ9gEwBiRHhyI1NsLpdspOEH83NetNdsdHDq54u52cscndfU9yZgLJJle0k4SzNjmC1yKERqMRV1xxBTo6OvDaa69hzpw5Tl/jtttuQ3d396jpp4D7IoSCIODw4cNYsWIFQkJCgm4059fvFuGjwmbcfc5M3Hn2bKx9/Gs0641466ZVQPsJLFu2DGFhYaNsOmvrN6jpGMDL163AulnJPmWTO9vJYrGgoKAAy5Ytg06nCwibXNVOPM8jPz8fS5cuRWhoaEDY5Ip2MpvNKCgowPLly+WHh7/b5Ip2kpzllStX2j38giFCCADnnHMOVq5ciUceeQQAcN999+Gzzz5DYWEhwsPH33rBYDBMWger1Yq8vDysWLFC/lHjKR76qBiv7K8DAJwxOwWv3LDKo58/Hs5q8/y3VXhsezliwnXY8av1yIhTT0ziz7ijz+gHLdhf1YmjDT0obOhBfdcAHrxoHi5YmKH6nmteOIg9lR2448yZePH7GgyYeWzbvBhXLMse9/P+e7geW/5XhLUzk/DGTac5Xd8/fV6Gf31XjevXTsVDFy8A4N3vkq9D2igzUV0cvfd7TelrrrkGUVFR+PDDDxEaGjru+VJIfTjSA18JtfWIw39IjDwG2CctUCprNBqsXr1a8ZzhDTRe2dFRAqU6Olsez6axyiPrvjArDh8VNqO0pQ89AxY068U04Auy4xE7c0iXkTYtzIpHTccASlp6sWFumk/ZNFZ5su0UFhaG006zf4D4u03OlMequ1arHaWNv9s0XtkRm5T6jL/b5Ip2Cg0Ntbv3OmNTIPDOO+/g7rvvxpQpU6DRaHDqqadix44dDjmDrkKn043qm57itOlJskP4k9NyvVKHsXBWm5vWTcf24pM42tCDO94swGs3rkJkaOD9+HV1n7HwAjY+tWfUNg4v7q1VdQh5gaHAFiHcuCgDUWE6/PmLcjy2vRznzk9DTHjImJ8pZxhNm9hAitJehN78Lvk6pI0y7tbFK0ll3nnnHRQXF+P11193yBm0WCxYsWIFtm3bBovFAkBcd/jGG2/gpptucnd17WCMYWBgQA71BxsLbAliipv1KLVl3ZqSGImYMN2YuizMFN9XGmSJZYK9v4wFaaMM6aJMsOuSmJiIl19+GSdPnkRzczM++OAD5OZ61jHyZhusmZGMxKhQzEmLwZlzUjz++ePhrDZaDYe/blqM2HAdjtR145bXjsBoCayESYDr+8y3x9vR1DOImDAdrlqVg99cOBcAkF/fjT6T8v5sFa296DNZERWqxZz0GNxw+lRMS45Ce68Jf99VOe5nSnsQzh2x5YSjyA7hMCc22O9nY0HaKONuXbziEG7fvh2NjY2YMWPGqDWG7777LgBg06ZN2LRpEwBxgfabb76JvXv3YurUqUhJScG9996Ll19+GWeffbZH6y6teZIW2Acb0hYSjd2D+P5Eh+1Y7Li6yBlKh21ZEQwEe38ZC9JGGdJFGdLF+3izDeIiQ/DNvRvwwe1roNN65afLmExEm5mp0Xj5hlWIDNWK0xnfLICFdzxNvD/g6j7zfkEjAODKlTl47IpTcMsZMzAlMRJWgeFgdafie/LrxXXQS6bEQ6vhEKbT4qGLxSR4L31fi8rWXtXPq+8cwKEacf/LU3LiJlRnpc3p6X6mDmmjjLt18Ykso57AFesnCJEz/rIbdZ0DSIsNQ6vBhF+fOxt3nj1rzPf0DJix5PdilrjCh85DXMTYUzQIgiBcAd37RUgH32V/VSeue+kQTFYBFy/OxN//b4nqcphgRj9gwco/7oSZF/D5L9Zhvm3m0f0fFOHNg/W4bs1UPHzJglHvu/udo3g/vwl3njUTvz5vKF/Fza/m4avSVqyenoQ3bz5VUXPpvetmJeO1G0+dUL0NRgtOeXgHAKDkkfMRFRZ4U4MJ38XRe7/vDbP5OIwx9Pb2BnUoe6EtSthqEJP2LMiKHVeX+MhQedpEME0bpf6iDmmjDOmiDOnifagN1JmMNqtnJOGfP1mOEC2HTwqb8c3xdjfU0DtMRBfGGO7/oAh3vlUAs3UoYvrJsWaYeQHzMmJlZxAA1s9KBgDsqVTWTVo/uCw3we747y6ajzCdBvurO/HpsZZR7zvR1osPC5oAwM6RdJbY8BDEhotOoBQlpO+SOqSNMu7WhRxCJxEEAZWVlXI2u2BEWkcoMT8jziFdhjaoD55po9Rf1CFtlCFdlCFdvA+1gTqT1ebMuan48aopAICPjja5smpeZSK6dPSZ8ebBenxS2Ix/7D4hH38/X5wu+sNlWXbnr56RDA0HVLX3o3lEspnOPhNqOvoBAMty7B3CnMRI3H7mTADAHz4rHbUG8cmvKiEw4Nz5aViSE+9w/ZXIsm09ITmE9F1Sh7RRxt26kEPoJFqtFsuWLQu4DHbOsChraB59UlQo0mLDHNJFiiyWBFGEkPqLOqSNMqSLMqSL96E2UMcV2ly6VHR0dpS2YsCsnCDF35iILlXtfXL5H7tPoLhJj5qOfuTX90DDAZcsybQ7Py4iBIttDtveyg67v0nRwZmp0YiLHL1U5WfrpyM3KRKtBhOeHpZgprhJj8+KWsBxwK/Pm+1w3dUYmWmUvkvqkDbKuFsXcgidhDGGnp6eoA5lS4llAGB+Ziw4jnNIFzmxTFPwRAipv6hD2ihDuihDungfagN1XKHN0px4TEmMxICZx1elrS6snfeYiC7V7f1y2Sow3PNuIf57uAEAsH52ClJjRm+1sm6mbdroCXuH8IgtoczyKQmj3gMA4SFDCWae/64aVzz7Pf6zpxp//qIcAHDxKZmYmz75NbfZIxLL0HdJHdJGGXfrQg6hkwiCgLq6uqAOZSdGDa0HnJ8h3igd0UWaalrV3hcwo5/jQf1FHdJGGdJFGdLF+1AbqOMKbTiOw6W26NfHR5tdVTWvMhFdqm0RwsuWZCIxKhTlJ3vx/HdVAKC6kfzps8StSL4/0QFBGPrBnF8nOoTLcuNVP++suWm4dnUuOA7Ir+/BHz4rw57KDmg1HH55ztgJ8xxlZISQvkvqkDbKuFsXcgidRKvVYvHixUEfyl4/W7z5rrPdhB3RJTUmHCkxYRAYUNainuY5kKD+og5powzpogzp4n2oDdRxlTaSQ/htRTu6+82uqJpXmYgu1bY1fyumJuLRSxcCABgDYsJ0OG9+muJ7lk6JR1SoFl39ZnmPZAsvoLCxBwCwPFc5QijxyKULceA3Z+Phi+dj1dREcBxww9qpmJ4S7XC9x0LaeqK6Q3R26bukDmmjjLt1IYfQSQRBQGdnZ9CPXPzuovn46lfrcbotu5ejukgb1B9Q2S8o0KD+og5powzpogzp4n2oDdRxlTYzU2MwPyMWVoHh8+LRmS/9jYnoIq0hnJESjR+ckoEfnJIBALhocSbCQ5R/DIdoNVg9IwkA8J0t22hpswFGi4DYcB2mJ4/v2KXFhuO6tdPwzq2rUfGHC3H/xnkO13k8luTEI0TLobjJgH0nOui7NAakjTLu1oUcQidhjKGlpSXo5zZHhGoxKy1G/r+july4SLyxv7i3Bv2mwJ82Sv1FHdJGGdJFGdLF+1AbqONKbS5bKkYJPyrw/2mjzupisvJo6BoAAMxIiQIA/PVHi/HklYtx/8a5Y75XmrH02bEWbHnvGK769wEA4nYTGo1z+zqGaDUu3QsyMz5CziL75y/KIQgCfZdUoPuMMu7WhRxCJ9FqtVi4cCGFskfgqC6XL81CblIkOvvNeHV/nYdq5z2ov6hD2ihDuihDungfagN1XKnNxYszwXHAodouOQmJv+KsLvWdAxAYEB2mQ0pMGABxAPrypdmICR+dJXQ40oylkmYD/pvXgAEzj2nJUfLWEt7mzrNnISpUi8JGPXaUtdN3SQW6zyjjbl3IIXQSQRDQ1tZGoewROKpLiFaDu84WF2k//10Veo0WT1TPa1B/UYe0UYZ0UYZ08T7UBuq4UpuMuAismpoIAPik0L+jhM7qUmXLMDo9JcrpCN305CismpqI8BANrliWhXduWY2vf30GVtq09DbJ0WG4ad10AMATX5SjueXkuLq0GYy49Jm9+NPnZZ6ook9A9xll3K0LOYROwhhDZ2cnhbJH4IwulyzOxPSUKPQMWPDy97Xur5wXof6iDmmjDOmiDOnifagN1HG1NtJeezv9fPsJZ3UZvn7QWTiOw39vOQ0lj1yAbZuXYNW0RJdO+3QFN6+fjqSoUNR2DuCtg3Vj6sIYw//73zEUNurx1qF6D9bSu9B9Rhl360IOoZNotVrMmzePQtkjcEYX3bAo4b/3VEM/aEFTzyC2fVWBG18+jPrOAXdX12NQf1GHtFGGdFGGdPE+1AbquFobKapV2mKw20bB33BWF2kPwunJURP6PI7joHVyvaAniQ7T4c6zxCms/y3phd7Iq5775qF6fHNcTJDTa7SiLwjyLgB0n1HD3bqQQ+gk0kJgCmXb46wuF52Sidlp0TAYrbj8H99j3Z+/xt93VWJXeRte2Fvt5tp6Duov6pA2ypAuypAu3ofaQB1XazM9OQphOg0GzDxqO/vHf4OP4qwu0rYMrtruwRf58am5yEmIQFuvCWf+9Ru8tr8WVt5en9qOfvzhU/tpoif1Rk9W02vQfUYZd+tCDqGTMMbQ29tLoewROKuLuOHrbADinkMCGxoRPFTb7bZ6ehrqL+qQNsqQLsqQLt6H2kAdV2uj02owN13M5C3tq+ePOKMLY2woQpgysQihPxCq0+C5q5diemIo9IMWPPhRCS56ei/eOdyAokY9+kxW3P3OUQxaeJw2PVHOthosDiHdZ5Rxty4cCxLFDQYD4uLioNfrERsb6+3qEAAEgeHpr0/AaOWxaXk2osN0WPWnXeA44OjvzkNcxNgZxQiCIMaD7v0ipIP/8Zv3i/DWoXrctmEGtlww9pYLgUBHnwkr/rATHAeU/f4C1T0HAwUrL+CtQ/X4644K6AdHJ9iLCdNh+y/X4TfvF2FPZQf+8qNTsGlFjhdqSvgzjt77KULoJIIgoLGxkULZI5iILhoNh7vOmYUtF8zF9JRopMaGY1pyFBgDjtR1ubG2noP6izqkjTKkizKki/ehNlDHHdrMzxR/vJU2+2+E0BldpOhgVnxEwDuDgiDgZEszrj51Cr65ZwNuP3MGVk9PQmJUqHzOI5cuQHZCJDLjIgAALUESIaT7jDLu1kXnlqsGOCaTydtV8ElcocvKqQmo6ejHwZounDU3bdLXMxgteOdwA6wCQ1SoFlFhOizIjMMc21QcT0D9RR3SRhnSRRnSxftQG6jjam0W2BzCEj92CAHHdaluD/z1g8ORdEmICsW954sRYMYY2vtM6DeJeygCQHpcOIDgcQgBus+o4U5dyCF0Eo1GgxkzZni7Gj6Hq3RZNS0J7+Q14lCNayKEr+2vw1++PG53LEynwb77zkJSdJhLPmMsqL+oQ9ooQ7ooQ7p4H2oDddyhzdz0GHCcOJWyrdeI1Jhwl17fEzijS3XH5DKM+hNqunAcJ7bzsDHrDJtDeFI/6KnqeRW6zyjjbl1oyqiTCIKAuro6CmWPwFW6nDpNTLVd1KjHoFk9HbOjlNkW4y/OiceFC9ORGBUKk1XA91Wdk762I1B/UYe0UYZ0UYZ08T7UBuq4Q5vIUJ3sHPlrlNAZXarlPQgD3yF0RpdgixDSfUYZd+tCDiHhU2QnRCA9NhxWgaGgfvLZRqU1CXeeORPP/WQ5rliaBQDYd6Jj1LlNPYOobO2d9GcSBEG4mnfeeQcrVqxAdnY2pk2bhhtuuAEnT570drUINzM/Mw6Af68jdJQq2/N6IpvSBzIZtjWEJw3B4RAS3sFrDuEpp5yC1NRUZGdny6+rrrpK9XzGGP7yl79gzpw5yMrKwplnnomysjLV892FRqNBbm4uNBrypYfjKl04jsMqW5Tw4CSnjTLGUGObgjLNNuK4dmYyAOD7KnuH0MIL+NFz+3DR03vR6sKbLvUXdUgbZUgXZYJZl48//hg33XQTnnrqKTQ2NqKoqAhGoxEbN270aD2CuQ3Gw13aLPDzxDKO6mK2CqjvGgAQHGsInekvGfFihLBnwOKSmVO+Dt1nlHG3Ll5Tu7GxEd9++y0aGxvl11tvvaV6/h//+Ee88sor2L17NxobG3HZZZfh3HPPhV6v92CtxZBtVVUVhbJH4EpdJIfwcO2QQ/jR0SaseWwX9lS2O3ydVoMJgxYeWg2HKYmR8rV1Gg4NXYNosD18AOD7Ex1o0RthsgqTdkSHQ/1FHdJGGdJFmWDWZfv27TjnnHOwdu1aAEB0dDS2bNmCgoICdHV5LiNzMLfBeLhLm/kZNodwEnsRCoL3dhcbrstHR5sw54Ht+K5i9HO8vmsAvC35W1qs+9f3extn+ktMmA5RoWLW1ZYgWEdI9xll3K2LVxzCwcFBdHd3IyfHsf1UBgcH8cQTT+D3v/89MjMzwXEc7rrrLiQmJuLVV191c21HExYW+DerieAqXSSHML++G2argOMne/H/3juGZr0Rf/q83OFNOaX1CFMSIxGiFbt6VJgOS3LiAYhOoMRnx1rkcn7d5KeqDof6izqkjTKkizLBqsuKFStw8OBBNDc3y8c+/vhjLFy4EImJiR6tS7C2gSO4Qxtp64majn70maxOv3/bVxVY+uhX8mwZbyDp8vK+WpisAnaWtY46R3peT0uJAsdxHq2ft3C0v3AcJ68jDJbN6YP1PsMYG/M3rjt18YpD2NjYiISEBERHOzYtIC8vD319faOmx1x88cXYvn27O6qoikajQXZ2NoWyR+BKXWamRCMhMgRGi4C82i7c8WY+TFZxRKSsxYA9laPX/ykhZSybNiJj2RrbtNG9NofQbBXwZcnQWpwjLnQIqb+oQ9ooQ7ooE8y63HDDDfjlL3+J1atX4+abb8a6devQ0NCAXbt2qb7HZDLBYDDYvQDIo8uCICiWeZ5XLQNAdna23Y8WnuflstVqHVVmjI0qAxhVlq4/vCwIgkPlydg0vDwZmzQaDbKysuTrucqmxMgQOWJW2qx32qadpa3QD1pwsKpjwu1kNlvwnz3V2FFy0mmbGGPIzs5GZ58JRxt6AACN3QOj2klaPzgtKcqt7STV3dt9jzGGzMxMaDQah2xKjxUdwmb9oM/a5Kp2EgQB2dnZ4DguYGxypJ0GTRZc+NQeXPPCQUU7ACAjIwMajcZpmxzBK0/WpqYmJCQk4Le//S0WLVqEWbNm4bbbbkNnp3Lmx6amJiQmJiI83D7lcmZmJpqamhTf446HodQw5eXlcoP68w3JlR2d53kcP34cZrN50jYBDCtyEwAAd75VgMq2PqTEhOGyJZkAgOe/q3LIpup2MUHM9OQoO5tWTxOvvb+qE2azBXsr22EwWhEdJu7CUtpigGHA6JJ2MpvNqKiogMVi8Yl2coVNrup7FosFFRUVMJvNAWOTK9pJ6jNWqzVgbHJFO1ksFpSXl8t1cvXD0Fu0t7fbraUf+dq2bRsGBwdRXV2N6dOnY+XKlVi+fDl2796NAwcOqF73scceQ1xcnPySZuTU1tYCABoaGtDQ0AAAqKmpkaOPVVVVaG0VIzgVFRXo6BAHzsrKytDZ2YmKigoUFRXJyzUKCwvR1ydGdwoKCjA4KE5py8vLg9lsBs/zyMvLA8/zMJvNyMvLAyDO/CkoKAAA9PX1obCwEACg1+tRXFwMAOju7pZzBXR0dKCiogIA0NraiqqqKgBAc3MzampqJmxTd7c4AFhcXDwpm3ieR2lpKfLz811u0/QEcbPyPUXO2yRtVXCssm7C7fTvzw/iD5+V4a63C5CXf9Qpm06cOIGKigp8eLACttsEatsMo9qprlN0CFPCmVvbSbLJ232vtLQUx44dA8/zDtkUYhGPNXcP+KxNrmqnw4cPo6KiAv39/QFjkyPt9On3R1F+shd7T3SioKhklE0tLS04eFB0Fp21ySGYi2lra2NZWVmqr61bt7LPPvuMzZgxg3322WfMbDazzs5OtnnzZrZmzRrG8/yoa7733nssJSVl1PF//OMfbNGiRYr1eOihhxiAUa+CggLGGGO1tbWstraWMcbYiRMnWENDA2OMsePHj7Pm5mbGGGOlpaWstbWVMcZYUVER6+joYDzPs3379rHOzk7GGGNHjhxhBoOBMcbYoUOHWH9/P2OMsf379zOj0cgsFgvbv38/s1gszGg0sv379zPGGOvv72eHDh1ijDFmMBjYkSNHGGOMdXd3s6NHjzLGGOvo6GBFRUWMMcZaW1tZaWkpY4yx5uZmdvz4ccYYYw0NDezEiROTsokxxo4ePcq6u7snbBPP86ympoYdPHjQJTY99v4hlrvlU5a75VM2dcun7PsT7ez7o2Vs+n3isU++LxzXpiue2slyt3zKXj9Qa2fT9wcOsrkPfM5yt3zK3v5iD7vrzSMsd8un7Jbnd7LT/iS+5z8ff+eSdiovL2fNzc2srq7OJ9rJl/peW1sba25uZgUFBQFjk6vaqbm5mfX29gaUTZNtp8bGRpaXl8d4nnfKJr1ezwAwvV7P/JWbbrqJXXbZZUwQBPnYwYMHWWhoKKusrFR8j9FoZHq9Xn41NDQwAHIb8jwvP2+Hl61Wq2rZYrGw5uZmZjab5bpYrVa5bLFYRpUFQRhVZoyNKlut1lFlnucdKivZ4ahNw8uTsYnnedbU1MRMJpPLbXpiexnL3fIpu/fdo07ZNGgyy8/R331YNOF2+uGze+Xr7K1odcoms9nMmpub2e2v58nXWPjQF6Pa6cf/3s9yt3zK3jlc59Z28pW+ZzabWVNTk3y98Wz6y/ZSlrvlU3b/+8d81iZXtZPJZGLNzc3yPScQbHKknV7dVy1/R6paDaPssFgsrLGxUa63ozY5+gzkGJPGbLxLa2sr0tPTUVZWhrlz59r97eDBg1izZg0GBwcRGhoqH3/ggQdw5MgRxWmjJpMJJpNJ/r/BYEBOTg66u7sRHx8vjxxLoVepzPM8OI4bt6zRaMBxnF3ZarVCq9XalQFxpHp4WafTySPiUlkQBGi1WruyIIjTLcYrK9nh7zYda9Tjsmf3AQDuPGsmfn3eHAiCgLvfKcSHR5vxg0XpePqqpWPadMZfdqOucwBv3nwqTp2aYGfTja/m49uKdtxz7iw8/10Nek1WvH3TKrx+qAGfHmvB3efMxC/OmUPtRDaRTX5uU19fH+Li4qDX6xEbGzvqWeEPzJ8/Hz/72c/wy1/+0u54YmIi/vnPf2Lz5s3jXsNgMPi9DsHK9qIW3PZGPhZlxeGTO093+H3NPYNY8/jXAIAfnJKBf/x4mdOffbShB5f943v5/3ecORP3nD/HqWtYeQHLHv0KBuPQGshjD5+H2PAQ+f/rn9iN+q4BvHPLajmPADHEmwfrcf8HRTh7bipeuG6lt6tDuIH7PyjCmwfrAQDv3roaK6e65nvg6L3fa4sxRk7l4W3TgpQWEy9btgxJSUn44osv7I5/+eWXuOCCCxSvHxYWhtjYWLsXAHn9iUajUSxrtdoxyzzPo6KiQq6/9EMIAHQ63agyx3GjypKdw8vSD6fhZY1G41B5sjaNtGMiNvG8OJVWOneyNi3KjsfFizPxw2XZuOvsWfLxW86YAQDYXnwSjd1GVZvMVgGN3WIIf0ZK9Cib1s5MAgD8e28tek1WpMeGY9X0ZCy3TVUtaNC7pJ0AccoBY8wn2skVNrmq7zHG5KkegWKTK9qJ4ziUlZVBEISAsckV7cQYQ0VFheyMOmOTv3PmmWfi+eefR2VlJQDAbDbj4YcfhtVqlTOPegKe51FWVjZsej8h4U5tpMQyx0/2wsI7Pg26rXdoULx9WNkZ/rOnGgCQFCUOxu9V2MN3LHiexwd7jsJgtCI+MgRxEaIT2NQ9lC3Tygto6hH/n5MYMaF6+hvO9peMINqcPljvMyXDtpZR+r66WxevPC2lDXalebE9PT244447sH79esyePXvU+SEhIfjVr36FBx54QN6I9+mnn0ZjYyN++tOferTuHMchKSkpaLJgOYqrddFqODx91VJs3bwYOu1QN52XEYszZqdAYMC/bQ8qJRq6xRTWkaFapMaMzsq0ZoaYWEY/aAEAbFyUAY2Gkx3C/PoeuCJVN/UXdUgbZUgXZYJZl23btuGqq67CxRdfjOzsbOTm5qKwsBDffvstsrKyPFaPYG6D8XCnNjkJkYgJ08HMCzjR1ufw+4bvqdvR57xD2Ng9gO3F4m+uJ350CgDgWGOP/NxU4ovikzjvyW9xoFrMCcFxHIo7xWfpGbNTZIdvuEPYojeCFxhCtRqkxYSPvmgA4mx/kbOMBsHm9MF4n7HyAsqHbS3TptDO7tbFKw7hj370I1xzzTW4/PLLkZWVhdmzZyM6Ohrvv/++bOimTZuwadMm+T1btmzB5s2bcdpppyEzMxPvv/8+du7ciYSEBI/WXaPRIDU1NWBGnl2FJ3W55YzpAID/Hm7AXpWMo9XtQxlGlb488zNikRA5NF3lB6dkABAdzvAQDfSDFlR3OP7gVYP6izqkjTKkizLBrEtYWBh+97vfoby8HI2NjWhpacEHH3yApUuXerQewdwG4+FObTQaDnPSYwAAFa29Dr9v+I/KiUQIX/6+FrzAsHZmEs6el4bpKVEQGGRnbySCwPDnL8pR0dqHO98qQGefCRqNBgcbxOfxWXNTkRVvcwh7hhzChm5xT+CshAhoNMHhBDjbXzLjRN26+s0wWgI7chaM95nqjn45mz4AtCsM4LhbF6+ordFo8Ktf/QolJSVoampCW1sbXn31VSQlJcnnvPvuu3j33Xft3vPAAw+gtrYWzc3N2L17NxYsWODxuvO2jFDBFsoeD0/qsnp6En6wKANmXsDNr+Yhb9gG9hI1Nmdueory1iYaDYfVM8T+lhkXjqW2vQlDtBoszhbLrth+gvqLOqSNMqSLMqSL96E2UMfd2sxMFZ9l0vYMjtBqGPpR2Wu0OuVIGIwWvH1YzFx40+niIOzpti2bvleZNvp9VYe832F7rwn/771jaOjsQ/nJXmg4MUKYaXMIm4c5hI1d0nTRSIfr5+84219iI3SICBGnzwf6XoTBeJ8padbb/b/NoDxl1J26BI/77SI4jkNGRkZQhbIdwZO6cByHbVcuxhmzUzBo4XH9S4dR1Gj/ZapR2YNwOJcvzQYAXLN6qt2opDRt1BUOIfUXdUgbZUgXZUgX70NtoI67tZlhG9ysmuCUUcC5aaPvHG5An8mKmanROGN2CoAhh1BtHeFr++sAiI5fqE6DXeVt+OV/xbT6S6ckID4yVI4QNg5zCOu7xAhhTkJwrB8EnO8vHMcFzTrCYLzPlDSJ00VjwsU19koRQnfrQg6hk2g0GiQlJQVVKNsRPK1LmE6Lf/5kOVZNS0SvyYqfvnjQbm2FNIo6fQyH8Nz5aTj6u3Nxq20KqoSSQ7i/qhMfHVXe83IsqL+oQ9ooQ7ooQ7p4H2oDddytzVCE0HGHsG3ENFFnpo1+Xd4GALjmtFx5wPS0GUnQcOKSjOERPkCM+O0sE/c8e/CiebjvAjFb/JH6HgDidFEAyE4YvYZQmjIaTBHCifSXoXWEg+Oc6d/4631mMps2SAll1s0SB12UIoTu1sW/1PYBeJ5HYWFhUIWyHcEbukSEavHCtSuwODsO3QMWPPZ5mfw3KUI4PUXdIQSA+MjQUaMtS6eIDmFVez/aeo149NNSXPXvA7jr7aNOPYwB6i9jQdooQ7ooQ7p4H2oDddytjRQhrO7oB+9gwrOREUJnHMKKVvFZt9i2nAIAYsND5P+PjBK+ebAeAhOXdMxMjcH1a6diw5wU+e9nzBKXaGTFi06f3RpCW4RwShA5hBPpLxm2dYSBHiH0x/vMi3trsOT3X6G4ST/+ySNgjMlTRjfMEQdORg7mAO7XhRxCJ9FoNMjNzfW7kQt34y1dYsJD8OSVS8BxwK7yNlS09qLXaJEffFPHiBCqkRgVKjuSlzz9PV7YWyP/rbLVOYeQ+os6pI0ypIsypIv3oTZQx93aZCVEIEwnbqkkOVDjIf2olKJyHX1mh97X3W+Wp5dKkUkJpXWEZquAtw+L+6ddszoXgDi97S8/WoypSZFYmh2L+Zlxsh2A6JxKaxrrpTWECcHjEE6kv8hTRnsC2yH0x/vMJ8eaoR+04NuKdqff29g9CIPRihAth7W271dXv2nUwI+7dfEftX0EjuMQHx8fVHObHcGbukxPicb589MBAP/6rlqODiZHh9ltfOsMK2zTRk8ajIgN12F2mvhQrOt0fEE/QP1lLEgbZUgXZUgX70NtoI67tdFqOHlNvCMzVcxWAV39ogO4wLaPoaMRwhO262fFRyA6TGf3t7XDHEJpitwXJSfR0WdGWmwYzp2fJp+bEhOGXb/egA/uWCf/iE2IDLFLjjJo5mXnM1j2IAQm1l/Sg2gNoT/dZxhj8pIlRwdrhiNFB2enxSA9NhwaDhAY0DliHaG7dSGH0El4nkd+fr5fhbI9gbd1kbai+OhoE/ZXiSmxx5suOhbSeofF2XH47BfrcMEC0eGs7XTuy+5tXXwZf9SGMeb2lN/+qIsnIF28D7WBOp7QRorWObIXoZSUIkTLYXZajO2YY46EtLXFyOggACybkoCIEC06+sx48qsKvLC3Bs99UwUAuGrVFIRoR/ysZIKdLhzHITNedGyaegbRaFs/GBOmkzetDwYm0l8ygmQNob/dZ9p7Teg1WgEMrYd1Bmn94ILMWGg1HJKixb2zR04bdbcuuvFPIYaj0Wgwa9YsvwplewJv67J0SgJWTUvEoZouPP31CQBjJ5QZj/MXpOO7e89EVkIEtBoOuUnitWo7nIsQelsXX8YftfndRyV490gDPv/FOtUtTSaLP+riCUgX70NtoI4ntJEzjToQIZTWD6bGhCMlRvyB2dHr2JRRaWmENDNmOKE6DU6bnojdx9vxd9uzFhAjmFetmjLqfCVdshIiUdXej6buQXmALScx0m8iQq5gIv1FTioT4BFCf7vPDB+gaega31nnBQbtsMz2Qw6hOK06NSYM7b2mURF9d+tCDqGTcByHmJgYb1fD5/AFXW49YzoO1XShzySO1Iy15cR4cByHKUlD6xmktYgTmTLqbV18FX/UZkfpSRgtAvLre9zmEPqjLp6AdPE+1AbqeEIbZyKE0qb0abFhSLFFHJRS2SshXX9WqrI9Wy6ci8SoMFj4oY20N8xJQVps+KhzlXQZvvXEgFl8XgfTdFFgYv1F2py+o88Mk5VHmE7rjqp5HX+7zwwfoGnuGRzl8A2nvdeETf/ch9iIEPz7pyuQFhsuTxmVpnZLAzgjHUJ36+If7rcPYbVacfjwYVitVm9XxafwBV02zE61G9F05Q/2qTbnsFlvdGrKoC/o4qv4mzY9A2Z5o+eR2ftcib/p4ilIF+9DbaCOJ7QZihD2j5viXrpXpcWGq/7AVEOaMjpLIUIIAHPTY7F182L8/aql8uuKZdmK5yrpMnzriYbu4EsoA0ysv8RHhiBMJ/5sb9U7njHW3/C3+8zwARqrwNCiV48SPvFFOWo7B3CsUY8rn9+PokY9Wg0mcBwwL0N0CFNjpCmj9r8z3K0LOYROotVqsWDBAmi1gTkyM1F8QReNhsPP1s+Q/z+ZCOFIEqNCEWNbXO/MomFf0MVX8Tdtyk/2ymV3TtnxN108BenifagN1PGENtNTosBxgH7QMm7G0KEpo2FItkUIHdmYXj9gkdcuKa0hdBYlXaQIYXPPoPw8DaY9CIGJ9Zfhm9N/eLQJf/3yOG58+TBe+r5mnHf6F/52nzkxYgq32rTRgvpuvHukEYAYua/tHMDm5/cDAKYlRSHK9hszJUZ5DaG7dSGH0Ek4jkNkZHDNdXcEX9HlksWZOCU7DvMzYuWonivgOA65yeL1nEks4yu6+CL+pk15i0EuuzPLm7/p4ilIF+9DbaCOJ7QJD9HK0bXx1hFKPyZTh0UIB8w8+k1jRxcq28SBr4y4cMRMMEv3cJR0kbaeaOoZRH0Q7kEITLy/SOsIt31VgWd2n8Cu8jb84bMydPc7tj7UH/C3+4wUIZSSIikllhEEhoc+LgEA/Gh5Nj74+VpMS47CoG3G2XzbdFFAXPcLKE8Zdacu5BA6idVqxYEDB/wmlO0pfEWXUJ0GH/58LT6/ax10I7OdTZKJJJbxFV18EX/T5njrUITQ3VNG/UkXT0G6eB9qA3U8pc3MFMfWEbbKawjDERWmQ2SoGFUYb9popbR+MM01a5WUdMmMlzZYHx4hDK41hBPtLxsXZSAiRIu56THYvCIbUxIjwQsMO0pPuqmmnsef7jMGo0Wenr1+dgoA5Vlk7+Q14FijHjFhOmy5YC4y4yPw35+dhlm2KPzKqYnyuWoRQnfrQg6hk2i1WixdutRvQtmewpd00ags5p0s0ySH0InEMr6ki6/hb9rYTRl1o0Pob7p4CtLF+1AbqOMpbRzNNNomryEUf1w6Om1UyjA6ywXTRQFlXdJiwqDVcLDwDP1mMUKSHWRrCCfaX366eipKf38+vvjlejzxo8XYtFxcu/lZUeA4hP50n6myDaCkxoRhvm0N4EiHUD9gwRNfHgcA3HXOLNnhS40Nx/9+vgb/umY5/m9Vjnx+qsqaX3frQg7hBPCHTuoNAl2XXNsU1Don9yIMdF0mg79oIwgMx4c5hB19JrsMe67GX3TxNKSL96E2UMcT2jiaabS1dyhCCKhnLhyJNGXUVQ4hMFoXnVaD9GEZSVNiwhAeEnz9aqL9ZfiUwY2nZAAA9p3oQM9A4Ewb9Zf7jPQ9nJkaLUe5pURJEv/8rgpd/WbMSo3GtWum2v0tNjwE5y1It8sYK00Zbes1jkoe5U5dyCF0Ep7nkZeX5zcbZnqKYNBF2nrCmQhhMOgyUfxJm8buQQyYeYRqNQjRcmDM8Yx9zuJPungS0sX7UBuo4yltZtgctep29eeQycqjZ8ACYCjakOJshNBFU0bVdJHWEQLBt34QcF1/mZESjbnpMbAKDDtKW11UO+/iT/cZKaHMzNRoOVPuyAjhnsp2AMAdZ81EiANLmaTBG6NFkLdRA9yvCzmETqLVarFixQq/Gb3wFMGgixQhbO4ZhMnq2BcyGHSZKP6kTdlJMaHMzNRoefTOXdNG/UkXT0K6eB9qA3U8pY20hrCpZ1A1QYw0XTRUp5ETXSTHhAIYeyDLYLTI9zVXZBgF1HXJjh9yCHMSgmv9IODa/rJxkRgl/LyoZdLX8gX86T5TZRchFH8jtvWa5O3JjBYe5S1i1H3FsHWCYxERqpWz2g9fR+huXcghnAD+MGrhDQJdl5ToMESFaiEw9bTCSgS6LpPBX7SRpovOzYiRs7y1ujHTqL/o4mlIF+9DbaCOJ7RJiApFUpTo3NWoJDhr6x3alF6aXpgSbctcOEaEUIoOpsWGyY6kK1DSZXiEMNi2nJBwVX+RHMLvT3RAb4sM+zv+cp+Rp4ymRCMhMgTRNkeu0TZttLhJD6vAkBIThsy4cNXrjERtirc7dSGH0El4nkdBQYHfdFZPEQy6cBwnZxqtc3DaaDDoMlH8SRvZIUyPkde+uCtC6E+6eBLSxftQG6jjSW1mjJNpVN6UPsZ+nR4AtPeqrzM7YVs/ONtF00UBdV0y7SKEwecQurK/zEyNxpy0GFh472YbvfnVPFzx7PewTnJ9vb/cZ4wWXt42ZWZqNDiOk7eFkbaeKKjvAQAsyYl3arsIpUyj7taFHEIn0el0OO2006DT6bxdFZ8iWHSZ6uRehMGiy0TwJ22kKaNz02PlJA3ucgj9SRdPQrp4H2oDdTypjbSOUC3TqLwpvS3DKAAkR9umjDoQIXTVdFFAXZes+OCOELq6v3h72mjPgBlflbYiv74HzT2Tezb6y32mtrMfAgNiwnWyAyf1ZWkd4dGGHgDA0inxTl1bdgiH/c5wty7kEDoJYwwDAwOjMv8EO8Gii7MRwmDRZSL4izZGCy/vPTk3PQbpceKN2l1TRv1FF08TyLo0Njbi2WefxdKlS7FhwwbFcz777DMsX74cOTk5WLhwIT766CPPVhKB3QaTxZPazEgRn0MF9T3ghdGfJ29KrxAh7BhjDWGFtAdhqusihGq62E8ZDb41hK7uLz84JR0AsPdEB/SDk5s2Wt85oLiX3lgMHyTv6J9cwjV/uc8MzzAqRf9GJpaRHMIlOfFOXVvenH7YAI67dSGH0El4nkdJSYnPh7I9TbDoMtWWWEZt7cZIgkWXieAv2pxo64PAgITIEKTEhLk9QugvuniaQNVlYGAA69evR15eHrKyshTP+fbbb/HjH/8YTz/9NBoaGvD888/jpz/9KQ4cOODRugZqG7gCT2ojJafYe6IDm5/fLw9YSQzflF5CnjLaZ1L9QXmiVZoy6roIoZou2QkRSI4OQ0ZcODLigs8hdHV/mZkag9lp0bDwDF+XTzzbaK/Rgh88vQcbn9qDFr3juRKGD5J39k1u+wt/uc8MXz8oIW890TWINoMRTT2D0HDAKdnxTl1b/r4a7KeMulMXrziEmzZtQnZ2tt0rOTkZGo0GJ08qz39+//33ER4ePup9hw8f9mjddTodVq5c6fOhbE8TLLpMlSOEjk8ZDQZdJoK/aFPWMjRdlOM4eQ1hq8E92074iy6eJlB1iYyMRHV1NV588UWsWLFC8Zw//OEPuPbaa7FmzRoAwNq1a3HttdfiL3/5iyerGrBt4Ao8qc2SnHj8ddNiRIfpcKSuGxc+tQev7a+VHb2Rm9IDQxvTm60CDMbR2Ul7jRY022Y9uDJCqKZLmE6LnXevxxe/XA+txvG1VYGCO/rL2pnJAIDSZsOEr3Ggugu9Rit6TVb86fNyh99X2zH0m6hrkhFCf7nPDI8QSsgRwu4BFNiig7PTYuRkM46SOmwAR8LdunjFIXz33XfR2Nho97r00kvx4x//GOnp6Yrvkc4Z+b6VK1d6tO6MMfT29vp8KNvTBIsu0l6Ejd0DMFvHXzgdLLpMBH/RRkooMydd/JEkZRlt0Q+6pe7+oounCVZdLBYL9uzZg4suusju+MUXX4zt27d7tC7B2gaO4GltfrQ8G1/8ch1WT0/CoIXHgx+V4LlvqwAoRwjDQ7SICRd/SCptPfFFsTgYnx4bjrhI12UYHUuX+MhQl2Yz9Sfc0V+kZENVY+xRKVHR2qu49GWvbc88APiksBkHqjsd+uzh+zN3TDJC6C/3GckhnGEXIRyaMjrR6aLA0PrfNoP9lFF36uITU0ZLSkrw7rvv4vHHH1c9p6mpCTk5OR6slTKCIKCyshKCMLksSoFGsOiSGhOG8BANBCbuAzUewaLLRPAXbY7bplHNyxAdQulHltEiwDCovA/YZPAXXTxNsOrS2dkJk8mEzMxMu+OZmZkYHBxEd3e34vtMJhMMBoPdC4CsnyAIimWe51XLVqsVlZWVsFgs8o8SnuflstVqHVVmjI0qAxhVlqZBDS8LguBQeTI2DS9PxiZBEFBRUQGLxeIxmzLjwvHGTafi7nNmAQD+8uVxbC9qltcQJkWF2NkkTUNr1Q/Y2dQzYMbj28Vo0LVrcl3aThaLBZWVlbJG3m4nV9jkir5nsVhQUVEhX88VNk21TVesausb06Y2gxGXPLMXl//jewyaeTub9p7oAABMt61TfejjElh5YVybakdMGZ2MTVKfke453mwntb5ntlhRbZuqPTUpXD6eHiMOcBiMVnxzvA2A6BA62/eSbIMy7b1G+bjVapX7jLM2OYJPOIS//e1v8bOf/QzZ2dmq5zQ2NmLKlCkerJUyWq0Wy5Yt84sNMz1JsOjCcZw8bbTWgcQywaLLRPAXbcpapAhhLABxpD3edrN2xzpCf9HF0/ijLu3t7aOWOQx/bdu2bdxrhISIfU2jsX9cS0kM1EaLH3vsMcTFxckvaUC1trYWANDQ0ICGhgYAQE1NDZqbmwEAVVVVaG0V1yBVVFSgo0P8gVhWVgaDwYBly5ahrKwMer0eAFBYWIi+PnGkvKCgAIOD4kBZXl4ezGbxh2FeXh54nofZbEZeXh4AYHBwEAUFBQCAvr4+FBYWAgD0ej2Ki4sBAN3d3SgrKwMAdHR0oKKiAgDQ2tqKqioxGtbc3IyampoJ2yQ51MXFxZOySavVYt68ebIdnrJJo+FwbhaPHy1OBWPAL98+KicV6WystrMpIUKMEB4uOm5n05+3l6Gz34ysGC2uPW2KS9uptrYWy5YtQ2trq0+0kytsckXfq6iowNSpU6HVal1m00BrtViX7gEczj+qatPOsjYYLQK6Biz4urxNtqlFP4iq9n5oOODFa1ciJkyL4yd78eahetTU1KCmvhHfVrTjq8Olo2wavoymq980KZvy8/OxbNkymM1mr7eTWt97c+dhmK0CQnUadNQNfZ/Kio4iMUq8Z0u/HRakRznd97pb6kQtBywoKTsu2xcTEwOtVuu0TY7AMS/HZEtKSrBixQpUVVWNGgEdzoYNG7B06VKUlJSgsrISmZmZ2LJlCy655BLF800mE0ymoVCrwWBATk4Ouru7ER8fL3vNGo3GrszzPDiOUy1zHCdfQzqu0WjAcRysViu0Wq1dGRC99OFlnU4njwZIZUEQoNVq7cqCIIAxNm5ZyQ5nbBppx0Rs0mq16OnpQXR0NEJCQgLCJrV2+vmbBfiypBUP/mAublw3Y0w7BEFAX18fYmJi5Hr5ok3eaCcA6O3tRXR0tFx3X7BpV3kbPjzajNSYMKTGhOHPXxwHxwFFD52L6PBQ8DyPjU9/j+Mne/HSdctxxuxUl7aT1WpFf38/YmNjIQiC19vJV/oez/PQ6/VISEiQnSBHbOrr60NcXBz0ej1iY2MVnxe+wsMPP4xvvvkG33zzjd3xiIgIfPLJJzjnnHPkYzt37sQll1yCgQHl9czueAYCvvmdVbIj2J6BVoHhxleOyBGe8BANih86166dfvF2IT4rasEDG+fixnXTwXEc8ms78cPnD4Ax4PUbVmLtrBSXthM9A5XtsFqt6O3tlb+LrrDJarVi2R+/Rq/Ris9/sRbzM+MVbbr5tXx8XS5Gry5YkI5nr14KxhjeL2jGve8dw+LsOHx0x+l4ZV8NHvq4FLHhOqyYmoB9VZ0wWgREhWqx774zERcZBp7n0Wu0YsmjO+V7zbpZyXj5uhUB+wzcfbwNP38jH0aLgAsWpOOZqxbb2fTDfx5AYaPoOEaFalH40HkAE5zqezwvYN5DO2AVGPbcewZykqLd/gx0eYTQ2RHRP//5z7jyyivHdAYBcTFlV1cXXn31VVRVVeHhhx/G1VdfjS+++ELxfHeMjnZ3d0MQBBw9ehQ9PT0A/HuEypWjboIgoLq6OqBsUmsnaR1hfmWjQzbV1dWhqanJp23yRjt1dXWhrq7O52x6+MNj+OxYC176vhZ//kIcmcuICUFPR5tsU0KYGJ0prKhzSzvV1dVhYGDAJ9rJV/reyZMnUVRUBEEQ3DI66sucf/75+Pzzz+2Offnllzj//PNV3xMWFobY2Fi7FzAUadRoNIplrVarWgaAuro6eXBUOi6VdTrdqDLHcaPKAEaVpesPL2s0GofKk7FpeHkyNgmCgPr6evl6nrYpLESHf/x4Gabbnk+pMeF2dddqtfKU0a4Bi/hDXWB4+NMyMAZcuiQTp89OdXk7cRyHuro6+f/ebidX2OSKvsdxHOrr62UnwBU2hYSEyOvZajsHFW0yWpk8aAAAXx9vQ79ZdMa+tx1fZxsU+MlpUzEvIxYGoxVfl7fDaBGdjX4zj9KWPrm+9d32y2c6+8yTskmj0aCurg6MMa+308jy//KbcPOrR2C0CNgwJwXbrlw8yqbh+2ouzomHTqtxuu+FhOiGfV+HlqY0NDTIAwjO2OQIXo0QdnZ2IjMzEzt27MAZZ5zh9Ptvu+02dHd34+233x71N3dFCANphIpsmphN7x5pwn3vF2HNjCS8efNpAWFTILbTRGzqHTRj0SNfAQCuW52LFoMRbb0m/HhVDn64LFuu728+KMY7eY345dkz8YuzZ42yqbvPiAM13ZibEYspCeHUTl60KRAihHv37sVFF12EL7/8Eqeeeir27duHCy+8EJ9//jnWrl3r0LUNBoPf6EBMnJqOfvzy7QJcuCgDt54xw+5v/9h9An/58jg2Lc/G7y9diL/trMDz31UjJkyHXb8+A6nDktAQ/smv3ynE//Ib8etzZ+POs2eN+vsXxSdx6+tHkJMYgRCtBtXt/di2eTEuX5qFlX/chY4+E966+TSsnpEEQEw+89SuSszPiMXZ81Lx1M5KbC8+id9cOBe32PrXx4XN+MVbBYgK1aLfzCMtNgwH7z9n1Gf7O/89XI8t/ysCAFyxNAt//tEpCNGOdrie+KIcz34jDsj+fMMM/L8L5k7o8y55Zi+ONerx75+uwLnz0yZcb0fv/V7N6fr6668jIyMD69evH/dcySMejvTAVyIsLAxhYWGjjg/3okceA4ZGQdXKgiCgp6cHCQkJdh49ALtUsOOVHR0lUKqjs+XxbBqr7KhNgiCgu7sbCQkJAWOTVPeR7bQwKw4AUNykhyCwMesrCAI6OzuRkJAw6b7nTptGlj3RTsO1GT6S6E2bKm3Z2VJjwvDwpQuhhFarRbpt36y2PrP8/n6LgI8KmrCjtBX7qzphFRhiw3X47y2rMS8j1mGbNBqNrIsvtNN4ZU+1EwD53uusTf7O6aefjpdeegk33nijfJ99+eWXHXYGXcXw+7wzI8/BgK9oMy05Ch/dcbri31JsW098f6ID6574Ws4G+evzZrvNGfQVXXwNd+kyI1WMEFe19yn+fWeZOGvi3HnpiI3Q4W87K/FJYTPmZ8aio8+EiBAtluXGy+fPTovBP368TP7/Kdnx2F58Esea9PIxaR/MpVMSsPdEB7r6zWCMqf4+Hw9f7DMWXsDWHeJslRvWTsMDP5gHjcp2KcMjhBPJMCohbz1hSxLlbl28qvTbb7+NjRs3jttpLBYLVqxYgW3btskZvL788ku88cYbuOmmmzxRVRnGGFpaWlQX8gcrwaTLnPQYhOk0MBit4yaWGa7LtxXt2PzP/fjN+0WT2icoUPDFPlNuWwQ+N2PsCIq8F6F+KKnM3f89igc/KsGeyg5YBYaYMB0MRit++uIhxfTeaviiLgBQ1KjHmX/9BtuLWrzy+b6qiyuRIoRKXH755SguLkZTUxOKi4tx+eWXe7ZyCI42mCj+oI00Ba1Zb0RHnxk5iRH4y49OwbVrprrtM/1BF2/gLl3G2nqCF5i8dvCc+am46BRxqdaeyg58Wije11dNS0SYTn0w7ZRscUD8WGOPfEz6HbRsSjwAwMIzxb0uHcUX+8zX5W1o6zUhKSoU9104V9UZBIb2IgSAJTZNJoL0fW3rFX9nuFsXr0UIOzo6cOjQIdx7772Kf9+0aRMAcc/CkJAQvPnmm7j//vuxdetWmM1mZGRk4OWXX8bZZ5/tyWqLEaKFypGDYCaYdAnRarAgMxb59T041qjH9GF70IxEq9UidcpM3PXfQnx6TLzhHqrtwluH6rEiNwE3nD4NFy5Mn/BImj/ji31G2oR+XvrYGzOnx4k3ainLaFe/GbuPi/s33Xv+HGxclIHEyFBc+a/9KD/Zi5+8cBDv3boGYToNdpS04tuKdpwxOwWbV47eSscXdQGAl/bVoKajH3/+ohwXeKHP+qouwQS1gTr+oM2CzFhEh+kQHxmCO8+aiSuWZStOeXMl/qCLN3CXLkMOYd+oKF1+fTe6+s2IiwjByqmJCNFqMD8jFqUtBvxrj5ih9HTb5vZqSDOkGroG0d1vRkJUqJxhdHa6uAF7n8mKzj7ThPeY9MU+89ahegDAj1ZkI1Q39ndmfmYsYsN1mJkajdSYiUfeF2XFo22uCblJooPpbl285hAmJyfLWcuUePfdd+3+P3fuXLz//vvurta4CIKAjo4OJCcn+0wo2xcINl1OyY5Hfn0Pjjb04LKlWarnfXasGf/vvWPoN/PQcMDVp+aia8CML4tPIq+uG3l13bj73Nn4hcJc/0DHF/tM+UnRIZybMbZDKO1FKG0A/WXJSfACw4LMWNx+5kz5vFdvWIVNz+9HXecANj61B/pBC6yCOLq3p7Idm1Zkj3KsfFEXQWD4rkJ0eGs7B7C/uhNrZoz9w8H1dfA9XYINagN1/EGb1Nhw5D1wDkK1mjEjHK7EH3TxBu7SJTcpEjoNhwEzj5MGIzJsyxsAYGepOF30zDkp8kDAxYszUdpigNkqrr8+fdbY9/W4iBBMS45CTUc/jjXpccbsFHnK6NSkKCRFh4oOYb8Z01MmZoOv9ZmmnkF8a3v+/d/K8be/S4wKxbf3nomQcRzH8fjxqVPw41OHPs/dunhfaT+DMYbOzk6fCmX7AsGmizQvfPi0iZEYLTx+834R+s08TsmKw8d3nI5HL1uIf/x4GfbddxZ+tn46AGDbVxV47UCdB2rtW/han2GMyVNG5zk4ZbSjzwyzVcBntujvD07JsDsvNTYcr994KlJjwtDZb4ZVYJhriz4ajFb0DFgU6+FLugBASbNBXm8EAG8favB4HXxRl2CD2kAdf9EmPETrMWcQ8B9dPI27dAnRajDFFlGqarOfNvqVbf3gOcMSlFw07JmVHB2KOWljD4YCwCJblLCosQcGowWd/eKzITcpEklRoQDETKMTxdf6zH8PN4AxYM2MJEyzZfEdj4SoUESHuTbm5m5dyCF0Eq1W3Hw2kBIWuIJg00WaR1/SbICFFxTP+aq0FQajFZlx4fjg9rXyVAtAdBTu3zgPd9kig7/7qBifFDa7v+I+hK/1maaeQfSarAjRcpierD4NGBBHAENtI6xlLQbsqxLTdV+0aPT2OTmJkfjfbWvw6GUL8fWvz8AXv1wvO5R1XaP3kPM1XQDgm+PiuhMppf0XxSfR3T/xB/5E8EVdgg1qA3VIG2VIF2XcqcvwaaMSVe19qG7vR4iWwxmzh0J3OYmR8tq/NTOSHRoskH7/FDbqUW+bLpocHYqY8BAkRonLKTr7TarvHw9f6jNWXsA7h8UB0P9bNX500J24WxdyCJ1EEAS0tLTI6c0JkWDTZWpSFGLDdTBZBRw/2at4zntHxH0Kz5sTDw7KIzq/PGcWfro6F4wBd79zFHsq291WZ1/D1/qMFB2ckRI97hoBjuOQZltH+PK+WghMfEhKI7MjyUmMxDWn5crrTaXzlJLNjKeLN0ZNv7FNl7lp3XTMz4iFmRfwfkGTR+vga/0lGKE2UIe0UYZ0Ucaduig5hF/ZpoueNj0JMeH2a/t+ec5szEyNxvVrpzp0/VOy4wGIicZqhk0XBUTHEAC6JhEh9KU+821FO04ajEiIDMH5Cya+9YMrcLcu5BA6CWMMvb29PhPK9hWCTReNhpNvisca9aP+flJvlJ27M6aEqerCcRwevngBLl6cCQvP8IRtI/RgwNf6jLR+cLzpohJSlO/TY2Jk9weLMsY63Y6pNoewtmN0hFBNF6OFx/lPfoer/3MQvOA5zXoGzCioFzen3zAnBVfZ1jS8fajeo23na/0lGKE2UIe0UYZ0UcadusxIsd96QhAY3skTo1znL0gfdf762SnYefcZWDolwaHrL8iMhYYTk6odru0CAOTaHMIkm0PYOYkZJL7UZ+RkMsuzx8y+6gncrQs5hE6i1Woxe/Zsnwhl+xLBqMviHNu0iYaeUX/7oKAJAgNWTk3AmSsWjqmLRsNhywVzAIhOibS4O9DxtT5TZov0zh0nw6iElFjGwos355HrB8dCengqRQjVdClq0uN4ay/2VXXi/fxGhz9rsnxX2QGBAbPTopEZH4FLl2QiIkSLyrY+5NscRU/ga/0lGKE2UIe0UYZ0UcadusxItUUIbWsI957oQHV7P6LDdGMmwXOUqDAxgyYAfG7bhkga5JSmjHb0TW7KqC/0mYauAXmbDm9PFwXcrws5hE4iCAIaGxt9IpTtSwSjLlKEsHBEYhnGGN47Io7GXbEsyyFdsuIjEBuug4VnONGmvKFsoOFrfUbecsLJCCEgJhnKTlCeLqqENL1GaQ2hmi7D96588qsKGC3qWZpdibR+8Mw5qQCA2PAQ2fl9y4PJZXytvwQj1AbqkDbKkC7KuFOXGbY18CcNRvSZrHh5Xy0AMcrlqkQni7LiAUBONjY1ecSU0UlECH2lzzy+vRwCE7fimDHG9mKewt26kEM4AUymiY98BDLBpouUabSitRcD5qFNWI829KCqvR/hIRpsXJjukC4cx2F+puiIlLYEz6b1vtJnBs28nDp7vC0nJNLjhhzCi5yIDgKQ9xVS27BeSZfhDmGz3ojXPZCZdvh2E2fMGUpEcNUqcf/ET481o0HBqXUXvtJfghlqA3VIG2VIF2XcpUtcZAiSo8VI3a6yVjnKde2aqS77DGmGlIQ0yJkkJZWZxBpCwPt9Zl9VBz4raoGGA+7fOM+rdRmOO3Uhh9BJNBoNZsyY4RN7o/gSwahLWmw40mLDIDAx26iElEzmwoUZiIsMc1iX+RniDXb4D/9Axpf6TGVbLwQGJEWFIsX2IB2PtGERwo1OrB8EhpLKdPSZ0Wu033pCTRdpoOCsuWKk7pndJ2Awjt62wpUUN+vR0WdGVKgWK3IT5ePLpiRg6ZR4GC0Cbnzl8Cgb3IEv9ZdghdpAHdJGGdJFGXfrIq0j/PP2cgDi3oOObpngCIuy7B3C3GRpyqi0hnDijou3+4yVF/DIx6UAgJ+clisP1nsbd+tC31AnEQQBdXV1Xg9l+xrBqstiadqobR2h0cLjY9v2ET9anu2ULkMRwtFJagIRX+ozUobRuRkxozaKV2NJTjxCtRqcMy8NmfER479hGLHhIfJ+TXWd9hE2JV0svIDjrWIdH/jBPMxIiULPgAX//q7aqc91lm+Oi9HBtTOT7TKvchyHZ69ehtSYMFS09uGONwtgVdl+xVX4Un8JVqgN1CFtlCFdlHG3LtI6wma9EQBw3dppLr3+vIxY6GxbVCRFhSLWlrl0+JRRYYLJz9ytzc7SVtz3v2OqA5mvHajD8dZeJESG4O5zZ7ulDhPB3bqQQ0gQk2CxbdpoYaMeHX0m3P5GPnqNVmTFR2D19CSnrjXftnattNngE9m1AomGrgHc9EoevihuUfx7mS3D6Nx0x0cCcxIjceD+s/HMj5dOqE7StNF6B6ZcVrf3w2wVEBOmw9SkKNx7/lwAwH/21KCt1zihzx+P8pMGOYPqmbao5HAy4iLwwrUrER6iwbcV7fjDZ2VuqQdBEAThHMPXvE1PicK6mckuvX54iBZzbAnYcodtt5RgG+gUGNAz6P6ZIxPhse1lePtwA/75bdWov3X0mbDtqwoAwD3nz0F8ZKinq+c1yCF0Eo1Gg9zcXJr+MIJg1UWKEH5/ogMX/G0PdpW3IVSrwf0b50Gj4ZzSZWZqNEK0HAxGK5p6Bt1cc+/jqT5jtPC49fUj2FnWigc/KlHM4ipFCB1NKCORGBWK8JCJZfySMo3WjlhHqKSLFDWelxELjYbD+QvSsHRKPAYtPF7d59xawrrOfjzySYni2j+zVcBz31Th/Ce/wwV/24OK1j5oOHG7CSUWZcfhb1cuASDux/jGQfetawzWe4wvQW2gDmmjDOmijLt1kaaMAsC1q6c6tOG8s0gb1EvrBwEgRKtBXIQYLeycYKZRd2ozaOblvRNf2VcH/YC90/rEF+XoNVqxMCsW/7fS+5lFh+PuPkPfUCcRBAFVVVU0/WEEwarLItsNsavfjI4+E2anReOjO9bKWRid0SVUp8HMVHHELRjWEXqqzzzySam8xrO914TtI6KEjDF5D0JHt5xwBXJimY7RU0ZH6lLSJNZPmlbMcRyut00B+uRYs8MR5a5+M6554RBe+r4Wv3m/aNTf//BZKf78RTmOt/YiVKvBefPT8NL1q5ARpz4l9oKFGbj3fHHblN9/UopK29RWVxOs9xhfgtpAHdJGGdJFGXfrMj8jFiFaDnERIfjh8my3fMb1a6dh1bREXLM61+74ZPcidKc2x1vFfAEA7DKwAmIimXfyxBwQj1yyAFo3ONGTwd19hhzCCRAW5ljSiWAjGHWJiwiRR8muWzMVH99x+qgokzO6yNNGgyTTqLv7zP+ONOKtQ/XgOHFRPQC89H2t3TmtBhO6ByzQajh5byVPMLT1xOhMoyN1kfrD/GF96+y5qQgP0aCucwBFTeOvOzVZedz62hF5iureEx3Yd6JD/ntNRz/ePChuwvvgRfNx+IFz8K+frsAZs5Wjg8P5+YYZWD87BSargF+8fRQmq3u2xAjGe4yvQW2gDmmjDOmijDt1SY0Nxzu3rMb/blvjsq0mRjI7LQbv3LJ61Ib2yS7INOoubaTBdkmTF7+vQZ/JCqOFlwdJf3LaFCwflkTNl3BnnyGH0Ek0Gg2ys7Np+sMIglmXV65fhZ13r8fDlywYNX3QWV3kxDJBECF0d58pP2nAbz8Ub/B3nT0Lf9m0GKFaDY429KBg2Ibq31aIKbmnJ0dNePrnRBjaesI+QjhSF8bYkEM4LNtZVJgOZ89LAwB8ekx5baQEYwz3v1+MQ7VdiAnT4Rzb+/6y47gcXfzrl8dhFRjOnJOCG0+fJk/7cQSO4/DXH52CxKhQlLUYsHVHhcPvdZRgvsf4CtQG6pA2ypAuynhCl6VTEjw6yCkhZRrtmmCmUXdqI+03fNWqHExPiYJ+0ILX9tfhbzsrUdc5gPTYcPy/C+a6/HNdgbv7DH1DnYTneVRUVIDnPbMptL8QzLokRIXKUz1H4qwuwRQhdHef2fLeMRgtAtbNSsadZ81CcnQYLlosTuV9xTZN5ERbH37/iZhe+pLFmW6phxrSGsIWvdFuk/mRurTojegZsECnEMG8+BSxzp8WNo+Z0e2f31bjf/mN0Go4PHP1MvzpioUID9GgoL4Hu8racLShB58VtYDjgC0XTuxhmBobjj//8BQAwL/3VNtFH11BMN9jfAVqA3VIG2VIF2UCWRdpymjHBCOE7tRGcggXZMbh9g0zAQDPfXMC/94jZux+9LKFcsZUX8PdfYYcQifhOA4xMY6npg8WSBdlnNVFcggbuweh99EMXRNlb2UHdpW1yv93Z59p0Q+isFEPDQds3bxYXgtw/Rpx3d1nRS2o7ejHz984gn4zj9XTk3Dbhhkur8dYJESGICZcnLYyPNPoSF2kaPHM1OhREcwNc1IQHaZDs96I/GFRz+G095rw1x3HAQAPXzwfZ8xOQWpMuLwG8a87juPx7WKG0CuWZjuVaXUk585Pw1WrpoAx4O53CjFodt2Di+4x3ofaQB3SRhnSRZlA1iXJtpfvRPcidJc2gsBQflJc4z4/MxaXLslETmIEDEYreIHhB6dk4Nz5aS79TFfi7j5DDqGTaDQaZGRk0PSHEZAuyjirS1xkCLJse9qVBVCUsGfAjBtePowbX8nDkTrRcXFnn9lTIUanTsmOR2rM0Abyi7LjsDw3ARae4YfP7UNFax9SY8Lw96uWQqf1bN/lOG5oHeGwaaMjdVFaPygRHqLFefPHnja6u7wNvMCwMCsW16yeKh+/Zf10xITrUH6yFwequxCq0+Du8ya/59KDF81DSkwYThqMdlNzJwvdY7wPtYE6pI0ypIsygaxLUtTQXoQTwV3aNHQPoM9kRahOg+nJUdBpNfi5LUoYFxGChy9e4NLPczXu7jOB1xPdDM/zKCsrC8gw/2QgXZSZiC6+vo7wm+NtOFjd6dR79lR2wGzbuPz3n5RAEJhb+8x3leKG6utnjd576bo1UwGIGdC0Gg7P/HgZUmK8k/RgaB3hUGKZkbpI/WD4+sHhXGyb6vrpsRbwCtNGd9qistK6QYn4yFDcsn66/P9rV+fKgxGTITJUh+W2JAMlLuzDdI/xPtQG6pA2ypAuygSyLuNNGa3vHMA1LxxUXVbgLm2kQfbZadHyAPDmFTl45JIFeOWGVV77HeAo7u4z5BA6CcdxSEpKCsgw/2QgXZSZiC6TWUdYftKAp3dV2q1JcyUNXQO44eXDuObFQ6P27xmLb463y+XCRj3+l9/otj7DCwx7bQ+a9QoZMi9YmI6MODFquOWCOVg1zXvZxCSHcPhehCN1GStCCABrZyYjPjIEHX2mUY660cJjT6WoxUiHEBDThuckRiAtNgy3nzlz8gbZWJDp+rWwgXyPaWxsxLPPPoulS5diw4YNiud8/PHHWL58ObKysjBr1iz88Y9/9PiPyUBug8lC2ihDuigTyLokyVlGlaeMPvdtFfZUdtht+TAcd2lTKu03PGxZhFbD4do1U7EkJ96ln+UO3N1n3JOLNoDRaDRITU31djV8DtJFmYnoMtEIYUPXAK761wF0D1iQFheOzStynHq/I3xd3gaBiRuY7yg9iU0OfIYgMHxbITqEZ81NxdflbfjzF8dxwcJ0t/SZoiY9egYsiAnXKd7kQ7QavHLDKpxo68OFC9Nd/vnOkKsyZVTSxWC0yOsLR25nIhGq0+CCBel4+3ADPjnWjDUzh6Ki+6s6MWjhkREXLjtpw4kK0+HLX64HY2LZVUh9uKR5/O0wHCVQ7zEDAwNYv349NmzYgKysLPT19Y06Z/fu3bjuuuvw8ccf4/TTT0djYyPOP/98aDQa/OY3v/FYXQO1DVwBaaMM6aJMIOsiRQiVpozyAsNXpScBACcNRsX3u0ub8Wbb+Dru7jMUIXQSnudRXFwckGH+yUC6KDMRXaRIUGVbL8xWxzYgHTBb8bPXjqDbFrWrOOmezcF3lbfJ5e3FJx16T2mLAR19JkSGavH3q5ZiWnIUOvpMeObrSrf0me9szufaGcmq6wJnp8Vg46IMr4/OKq0hHN5nym0jmplx4UiwrctQQpo2+nnRSfQahyK3X9mmi549L1XV1shQnUudQUDM4AYAVe39LotWB+o9JjIyEtXV1XjxxRexYsUKxXMOHjyI3/zmNzj99NMBANnZ2bj11lvx7rvverKqAdsGroC0UYZ0USaQdZHWEHYPWP4/e+cdHkd1tfF3Zla9S7ZkNTe5yXLHDYzBBoNNL6GEOJQkQKihl9CTwGdS6ISEQILpxYRiAsYGbKqxkSxZlmzZ6rKa1bXSqmyZme+P2VlppTvSrrR9z+959Ph6d3b2nvfe3dkz59xzYRHtf8PkVbfbUkkb9WyH0FFt9L1mVLUO38dXCzVlVOvmqq/j7jnjFofQkfSXTz/9FMcddxwyMzMxb948fPzxxyOes7OzE7/97W8xffp0pKam4qqrroJe77q7z47CcRxSU73/Q9LXIF3YjEWXjIQIxITrYBZllDWP7tjJsoy73z9gV4SmvGV4lGG8GIwW7KkYSEn8rqzFoUqoanTwhKwJiA7T4YGzsgEoG8SbwuJdPme+s64fXD1r+PpBX2OqNWW0rqPX5vwPnjOHrBG20e5orpyehOkTlD2VXvxGKZ8ty7KtqisrXdSdpMSGITEqFKIk44iLbk4E83fMvffei7vuusvusaKiIsTGevaHTTCPwWiQNmxIFzaBrEt8ZChUs9p77aOEg28ktxqMzJvejmpz7et5WPfkN/ipqn3UPun7zKjv7ANgnzLqT7h7zrjcIVTTX/Ly8pCens485ptvvsEvfvELPPfcc6itrcWLL76IK664Anv27NE870UXXYTu7m4cOnQIVVVVMBqN2Lhxo6u7Pyo8zyMpKSkgK0ONB9KFzVh04TgOCzPiASgVIkfjxW8r8b8DjdDxHO60VomscIND+L21MMzkxEjMTI6GWZTttpHQ4usjig1rZivr+U6Zk4yTZk2ESZTx67cP4ZMDjbbN0cdLV78Z+Uc7AQAnzRy+ftDXmBgThogQAZIM28VKnTMyONvFc7Q7mgLP2fYPfOm7SjTq+1Bc34WmLiUyu3J6knsNGQLHcS5fR0jfMQqyLOPxxx/H5s2b8cADD2geZzQa0dXVZfcHAJIk2f5ltUVR1GwDUOamLNs+s6Io2toWi2VYW5blYW3VjsFt9fyD25IkOdQej02D2+Oxied5JCYm2s4XCDa5YpxkWUZSUpLt/4FgkyvGSZZlJCQkgOf5gLFJbQs8h4TIgbRR1SZJkvH5IIdQloGmrr5hNkmSZFsrp2VTr9GMfTUdECUZf/qfUqhuJJtKrDdX0+MjEBMuOG3T0LHxxjgBQHx8PHied3qcHMHlV1ZH0l8effRRXHnllTjhhBMAAKtWrcKVV16Jv/71r8zjf/jhB3zzzTd4+umnER4ejvDwcDzzzDPYvn07ioqKXG3CiIiiiMLCwoAM848H0oXNWHU5b5GSAvheXt2IG45XtBjw588PAwAePjcHP18+GYCyj6GrC8vsPDyQfnjmfGWD98+K2FsdqOj7Bhy0k60FXjiOw6YL52Nuagw6e8245Z39uP6NfLRqLEB3ht3lbRAlGdMnRCEzMXLc53M3HMcNKyyjzpmnvjiCvVXtCA/hcf5i9s21wZw+NwXLpybCaJHwxI5SW3XRk2ZOHLZ/oSdQU59dtY7QH79jWlpakJGRofn35JNPOnW+9vZ2nH322Xj++eexfft2rFu3TvPYTZs2IS4uzvaXmams962urgYA1NbWora2FgBQVVWFhoYGAEBFRQWampS5U1paitZWpShRSUkJ2traUFhYiKKiIluGTmFhoW3dY0FBAfr6lBsbeXl5MJmUH4N5eXkQRREmkwl5eXkAgL6+PhQUFAAADAYDCgsLAQB6vR7FxcUAgI6ODpSUKHtktra2orS0FADQ1NSEiooKAEBDQwOqqqrGbFNHh7I1SnFx8bhsEkUR+fn5yM/PDxibXDFO5eXlKCwsRF1dXcDY5IpxOnToEHJzc21pgIFg0+BxitYpjkibwWSzqbCuE8e6+hERImBSrFLY7WirYZhNubm5KCwsRE9Pj6ZN23/cD4v1t1FRfRe2FjaMaNN3xYpNU+N1fjv3Ghsb8f3330MURafHyRE42VW35hk88sgj+Prrr/H111/bHjObzYiJicHWrVtx+umn2x7/4osvcN5556G3t3fYef70pz9h27Zt2L17t93jq1atwnnnnYe777571L50dXUhLi4Oer1+XGk2sixDr9cjLi4uIEP9Y4V0YTNWXXpNFix/7CsYjBa8fc1KHJ/FjvC8/F0lHv20BCdkJeHNq1cAABb/6Qt09pqx7ZbVLsuVlyQZy//vK7QajHjz6hWYEB2G9U9/i1CBR96D6xAbHsJ83WdFjbjhzXxkTYzCV3essXvOZBHx5OcH8fLuOlgkGRkJEfjitpMRETp25+W+D4vw1t6juOqEqXjkXN/eU0jl5rcL8ElhA9LjI/Di5cchJy0Wn+yrwu/eVy4IT1+6yCGHEAD213bi/L//AI4DkmPC0NRlxF8vWuBQ8R9X8/H+etzyzn4smRyPD25YNe7zjfWz5Krvfk/AumaqVFVV4dRTT8WJJ56I5557DnFxcSOey2g0wmgcuMnS1dWFzMxMdHR0ID4+3nbnWL3brLZFUQTHccw2AHR3dyM6OhqCIIDjOIiiCJ7nbXfz1cfVNqA484PbOp3OdkdcbUuSBEEQ7NpqhGm0NssOR20a3FbtGItNgiCgs7MT0dHRCAkJCQibXDFOkiTBYDDYNtQOBJtcMU4WiwXd3d22z2Ig2DS4femLP2JvVTuevWwxzpqXAp7n8fi2w3jx20qcNT9VqYpd1Y5nf74I5yxMs7PJYrGgp6cHsbGxkCSJadP7+2px1/tF4DlAkpV19l/efhLCdDzTpnv+W4Qt++pw89os3HbaLL+ce6IoQq/XIyEhwRaRdGScDAaDQ9dAj+fetLW1wWg0Ii0tze7xtLQ09PX12TzxwdTX1w87Xn1NfX09833ckS4jSRI4jkNMTIztfQIhvD/UjrHYxHEc4uLimHb4q02uGCdJkhAfH2/7sDtqU5jA4ewFShTu3dyjmjb9oG6vMFNxGDmOw/QJSqGS8uZul9lUWNuBVoMR0WEClmTGYVZKNLImRsEkSthZ0qxp0y5rVHHN7ORhY6PjOdx79gJ8eP3xSIwKRV1HH36qanVqnCqbu/DloSa0GYwwm82DCsok+s3cu33dTExOjEB9Zx9+9o/dePGbcjz4aTkAYOOKTJy/ON3hcZqfFoNzFqZZU3GM4DhgzawJXvk8zU5W5mFJYzeMJvOY597gY9Qflc6Ok7+j1+tx2mmn4eabb8Zrr702qjMIAGFhYYiNjbX7A2BLueV5ntkWBEGzLQgC4uPjodPpbE65+kMIgN3japvjuGFtAMPa6g+nwW2e5x1qj8emwe3x2MRxHBISEhASEhIwNrlinHQ6HeLj4+365e82uWKcdDodEhISbO8ZCDYNbk+IGdh6Qj335weVdNEz5g9s/dSo7x9mU0hIiC01Usum0iYlOnfJ0kykxoWjQd+PzT/WaNp02LqWPSc9zm/nniAISExMtDmozoyTIzjlELoi/UX9shzaSVVMVsAyJCSEaRTHcczjAfeky3R0dEAURezatcvmuAZKeN8V6TK5ubmULsNIl8nPzx9TusxpWdEAgG1FjTh6rGWYTfsK9mOvdTF1ornFZlMslH/LmrpdZtN7PyjtZZkxqK2pAsdxOHGK8oP/06JGpk2yLGNniXIBWDN7IjP9LD8/H2JbDU6YqvzA3bqnxOFxMhqNuOzFH3D1a3k47tEvccpfv0JdRx90PIdIQ71T4+TNuZeZEI6HV4ZjzawJMFokPP55KfR9ZixIj8FZqf1Oz727189GiKB8ny6ZnABjV5tXPk/tNSUID+HRZxbx6Tc/MedefsF+bCtqxD++KsGjW37EC1+X460fylB88NCwcWpsbMR3333ntnQZX+b3v/89Vq9ejdtuu82r/RBFJS1SddKJAUgbNqQLm0DXZYK10mhzt5KlUNLYjZq2XoTpeKydnYzU+AgA7EqjjmijOniLJ8fjrvWzAQAv7KpgLj2xiBKONFn3IPTTCqOA++eMx1NGASAiIgKffPKJ3fqHL7/8Eueeey4zZfTPf/4zPvnkE3z//fd2j5944ok455xzcM899wx7jTvSZVRPXw27Dg0h+3N4f7yhcEEQ0N3djYiICEqXGZIu09fXh8jISKfTZQBgwzPfo6zZgEfPy8Evj59qZ8feylZc+q+9SIgMwd571yIkRLkb9Y9dZfjz9lKcsyAVT12ywCU2nfPcDzjY2IW/XjQfFy5OhyAIOFjfibOe+wGhOh5595+K6DCdnU2Hjxlw5rPfISJEwP6HT4OOwzD7ent7ERERgf8WNOCe/xZhyeR4/Pf6Exwap0Z9H054fNewz/4JWUl4/dfL/G7ucRyPZ74qw7M7y5EYGYKtN63CpNiwMc29v35+GH//ugKPXTAPly3L9JpNF724F/trO/H0JQtw/pJMu7nXb7bglnf2Y/vB4U7buuxkPPPzxYgI4e3SZQwGA2JjY92SLuMLaF0zp02bhu7uboSHhw97zZ49e5CRkTHquV2ROivLMgwGA6Kjo203cQkF0oYN6cIm0HV5fmcZ/rajFBwHrJ2djPAQHp8VHcNpc1Pw0hVL8dqP1Xjo44PYkDMJ/7z8OLvXOqLN0ke/RKvBiI9vXIX56XE49+/fo7i+i7lcpLSpG6c/9S2iQgUUPbIePO+feo91zjj63e+VjenXr1+Pzz77zM4h3L59O9avX695/IMPPoi2tjZbtaqOjg7k5ubi73//O/M1YWFhCAsLG/b44LDq0McA2H7MjNSOj49nPq6GgR1pOxo2ZvXR2bYjNmm1nbFp8EQLFJvGO048z9ulGDtr06XLMvHopyXYsq8Ovzx+qt0xeyqVyM0JWRMQGjqwhm+WtaRyeUuPS2xq7jbhYGOX8sU+J8V2zNy0OEybEIWq1h5sKz6GS5dNtnvte3m11v4lIUxnvy5QPYeqzQlZyhYRB+r06DOLiAzVjTo2RfUDewq99uvl+LGyDYcaunDhknS/nXu3nz4b5y5KR1xECCbGDHx/OTv37lw/GxctzcTUpEi7C4enbZqbFov9tZ043NRj67tOp0OvyYLfvr4P35W1IlTgcdrcFIQIyg23T4sa8WVJMy7+54/491VLkRoXYXtPNVXSWZv8hUceeYT5uBoN9TYcxw37PiMUSBs2pAubQNflZ8dlYE9lO74vb8XOQdXSz5g3CQBsRWUa9X3DXjuaNi3dRrQalCURs1JiwPMcblo7E9e9sc+2jGYwajRx9qQYv3UGAffPGa/U777zzjvxn//8B3v37gUA7N69G//6179w5513Mo9ftGgR1q5di1tvvRVGoxH9/f246aabsHbtWixcuNCTXYfFYkFubq5tHQyhQLqwGa8u5y9Oh47nUFinx+Fj9uX7f6hQvvhOmGFfcCZropJqWtliwEgVSh1F/TJflBmPCdH2TsqF1mInj2w9hP21nbbnPsivw+bd1QAUp5bFYG0yEiKQHh8BiyQjr3r4OmIWB+qU91uQHoeJMWE4d2Ea7j1jDmal+PdFdmpiOKoPHxjXZ4njOEybEOX1O8/q1hODK43q+8y44t8/4buyVkSGCnjlV8vw941L8PTPF+OpSxfh7WtWICkqFIcau3D+339AUZ3yWvqO8T40BtqQNmxIFzaBrktqXATeuHoFdt5xMq5ZPQ3xkSFIj4/AurnKnrhpI6SMjqaNurfttKQoWxG6eenKtaa6rQdm0X7teHnTgEPoz7h7znjFITzxxBPxyiuv4De/+Q3S09Nx7bXXYvPmzVi1aqAS3dA1ie+++y54nsf06dMxffp06HQ6vPPOOx7vuyAIyMnJ8cu7z+6EdGEzXl0mRIfZNhV/N7fW9nivyYKCo4rjtCrLfgP2jIQIhAo8jBbJtrfdeFD3ETx1TvKw565bk4WTZk1En1nErzfnoqq1B/tq2nHvf4sAADeuzcLpOZOY5x2sDcdxWDFdKQSzp7LNoX4dsDoKCzJHL7DhTwTSZ0ndeuJQQxdkWUZ3vxmX/3sv8mo6EBuuw+u/WYFVM+zn73FTEvHRjaswKyUaTV1G/PrVXPSbxYDSxV+hMdCGtGFDurAJFl2mT4zG/WfNxb4HTsO3d6+1VSSfZC0q02IwDnPgRtOmxLq37ZzUAQcvLS4CkaECzKKMmjb7pWdlzcp69xnJ/u0QunvOuDVlVCv9BQAuuOACXHDBBZrP19XV2f0/Pj4er776qqu6NmY4jkNkpO/vb+ZpSBc2rtDl0uWZ+PzgMbzzUy2uXj0d6fER+KmqHWZRRnp8hG0fOxWdwGPqhEiUNhlQ0WIY1358FlHCjxWKg7aasdF7iMDjHxuX4Of/2oOiej2u+M9e9JlEmEQJ63NScMdpszXPPVSbldOT8EF+vUMOoSzLKKq3OoTp8U5a5dsE0mdpzqRY8BzQ1mPC0fZe3PX+ARyo0yMxKhRv/GYF5qax1zNkJkbi/etPwK3v7McVx0+x7aMYKLr4K4E0N10NacOGdGETbLoIQ1I1EyNDESrwMIkSmrr6kZEwoMVo2pRYs6XmTBq4fvA8hxnJ0ThQp0d5czdmJEfbnlMdwpmDHvNH3D1nvBIh9GcsFgv27NkTsGH+sUK6sHGFLmtmTcSyqQnoM4t47FOl+uJuq5N2QlYSMy1Q/TIst34RjpXCOj26jRbERYRgXjo7EhcVpsN/rlqGKUmRqG3vQ6vBhJy0WDx16aIR8/WHanP8dCX19UCdHj3GkfWqbe9DZ68ZoQLv92kgQwmkz1JEqIDp1hTmX/57L36qakdMmA6v/Xq5pjOoEhsegn9fuRRrZiuR6UDSxV+hMdCGtGFDurAJdl14nrNFCY8NSRsdTZvDjUoK6Jwh1/4ZE4f/7jFZJFS3KmvYZ6b4t0Po7jlDDqGTCIKAxYsXB3yY31lIFzau0IXjOPzxvHkQeA6fFR3Dt6UttoXTQ9PtVNR1hBUtPWN+XwD4vkx9n6Rhd/gGMzEmDK/9ejnS4sKRmRiBl69cisjQkRMQhmozeB3hvpqR1xEeqO8EAGSnxiBUF1hfY4H2WVLXEda29yE8hMe/r1qmeXNhKINvdgSaLv4IjYE2pA0b0oUN6TKQNjp0HeFI2phFyebwDd1CYobV4Ssb5BBWt/XAIsmIDtPZCtn4K+6eM4H1S8pDBPMHeCRIFzau0CU7NRZXHj8VAHD/R0U4ZM2hPyEriXn8gEM4vgjh9+XK/ocnzhieLjqUKUlR+Pqutfjq9jW2ypCjMVgbjuOw0holHC1tVC00Mj8jsNYPqgTSZ0l1CHU8h3/88jgsn5Y45nMFki7+Co2BNqQNG9KFTbDrMrA5/fBaB1raVLX2wCRKiA7TISPB/ncGK0JY1qSuHwyM7T3cOWfIIXSSwRtjEwOQLmxcqcutp83ExJgw1Lb3QZaBWSnRSNa442VzCMeRMmowWlBwtBMAsHomOxI5lFAd73DEjqXNSgcLyxTaKozGO/Re/kSgfZZ+tiQD5y1Kw0tXLMXa2cMLEzlKoOnij9AYaEPasCFd2JAusN04HhohHEkbW0GZSTHDHLyZ1grjFYMqrJc1K+mls/w8XRRw/5whh9BJBEHA0qVLg/7OzlBIFzau1CU2PAT3n5lt+/8JWdpO2vSJUQCUYh4dPSYAgNEi4kBdp21T79HYW9kGiyRjcmLkuArTaMHSZqUD6wglSUaxdQ/CQIwQBtpnKSk6DM/8fDHWMqrUOkOg6eKP0BhoQ9qwIV3YkC4DEcKhawhH0kbdU3BwhVGVzIQIhOp49JsHKqwPFJTx/1oD7p4z5BCOgWC+ozMSpAsbV+py3qI0nGhdN7hhHns7B0Ap9JJm/bKtbDWgzyTikhf34Nznf8AzX5U59F7fWdcPnuhgdHAsDNUmMzFyYD9CjXWEVW09MBgtCA/h/b5qmBb0WWJDungfGgNtSBs2pAubYNdFXUPYwNiLUEubw43DK4yq6AQe0ycoN8PVyGC5mjIaABFCwL1zhhxCJxFFEQUFBUH/QR4K6cLG1bpwHId/X7UUX95+si2apkWW1VkqazLg9vf2o9C6cfyzX5Uht7p91Pf63lq4ZrVG4ZrxoqXNaOsI1Q3pc9LioBMC7yuMPktsSBfvQ2OgDWnDhnRhQ7ooewcCwLEhawhH0kaNEGYzIoTAQIX1siYDLKKEytbA2HICcP+cCbxfU25Gp9Nh5cqV0OncuoWj30G6sHGHLmE6wW6PHS3UdYR/23EE24qPIVTgcfz0JEgycOs7+6HvM2u+tlHfh/JmA3hu5NTU8aCljbpBfW4V22lVN6Sf72ClSn+DPktsSBfvQ2OgDWnDhnRhQ7oMRAibu+03p9fSprPXZFtvOCtlZIewvNmAmvZemEUZkaGCzfn0Z9w9Z8ghdBJZltHb2+vwOqxggXRh401d1Ahhq0FZQ/jni+bjpSuXYkpSJOo7+3Dfh0Wa/VK3m5ifEY+4yBC39E9Lm6VTEgAAB+r1MFqG3wlTK4wuzAxMh5A+S2xIF+9DY6ANacOGdGFDugBJUaEIETjIsuIUqmhpU2LdfzAzMQIx4ezfJepawbJmg12F0ZH2RPYX3D1nyCF0ElEUcfDgwaAO87MgXdh4U5csa2EZALjl1Jm4YHEGosN0eObni6HjOXx6oBFb9tUxX+vudFFAW5tpE6KQFBUKk0VCcb3e7jmLKKG4QY0Qxrutb96EPktsSBfvQ2OgDWnDhnRhQ7oM3Zx+IG1US5v8o0pdgZxU7ZvB6ubzFc0GlDUpDqQjGVX+gLvnDDmETqLT6bBs2bKgDvOzIF3YeFOX46YkYF12Mn578nTcum6m7fFFmfG4/fRZAIBH/3cIfSb7LxdJkm0b37uzoIyWNhzH4ThrlDC32r6wTHmLAf1mZQ8idfF4oEGfJTaki/ehMdCGtGFDurAhXRRSY4dvPaGlzXdlyr7Iq2Zo10+YmhQFgefQbbTYbmwHQoVRwP1zhhxCJ5FlGd3d3UEd5mdBurDxpi5hOgEvX7kMvz8je9h+Pb89KQuZiRHo6rfgk8IGu+d+rGxDq8GEyFABSyYnuK1/I2mzdKryvnlDHML91n0R56XHBkQKCAv6LLEhXbwPjYE2pA0b0oUN6aKgRggbOwccQpY2vSYL9lkrj6+eOVHzfKE6HlOSlG2yfrIWzwuEgjKA++cMOYROIkkSysrKIEnS6AcHEaQLG1/VReA5/GL5FADAG3tr7J576btKAMBFx2U4vMn8WBhJm6VTlcIy+Uc77L78Pj94DABw/HT3RS69ja/OGW9DungfGgNtSBs2pAsb0kVB3YtwcISQpc3eynaYRRmZiRE2h0+LGdaCeupPB60CNP6Gu+cMOYROIggClixZEtSbibIgXdj4si6XLM1AqMDjQJ3etpXDkWPd+PpIC3gO+M2J09z6/iNpMy8tDmE6Hu09JlS29gAAOnpMtmI3Zy9MdWvfvIkvzxlvQrp4HxoDbUgbNqQLG9JFwbY5fdfAGkKWNt9a00VPnDFxWMbTUGYO2nMwPIRHeoL/VxgF3D9nyCF0ElmW0dnZGfRh/qGQLmx8WZek6DCcMV/Z3P7NPUcBAC9bo4Mb5k3ClCT3rtEbSZtQHY+FGfEAgDxr2sfnB4/BIsmYmxpr21IjEPHlOeNNSBfvQ2OgDWnDhnRhQ7ooTLJuB9EwJGV0qDbfWW8Gn+RAXYPBawazJkZDCJDlJe6eM+QQOokkSaipqQn6MP9QSBc2vq7LL1cqaaMfF9ajvLkbH+2vBwBcs3q62997NG2GriP83wFlrWMgRwcB358z3oJ08T40BtqQNmxIFzaki4ItQjgkZXSwNg2dzu2LPLiqaKCsHwTcP2eCu7zRGBAEAQsXLvR2N3wO0oWNr+uydEoCZqfE4EhTN361ORdmUcayqQlY7MZiMiqjaaM6hPtqOtDSbcSPFW0AgLPnp7m9b97E1+eMtyBdvA+NgTakDRvShQ3popAar25O3w+LKEEn8MO0UZeKLMx0bF/krInR4DhlDeHMAFk/CLh/zlCE0EkkSUJbW1vQ39UZCunCxtd14TgOv1w5GQBQ267k8HsiOgiMro1a4bSytQdv7KmBJCsXhMmjLCj3d3x9zniLQNalrq4OL7zwAhYvXow1a9aMeGx3dzeysrJGPc4dBPIYjBfShg3pwoZ0UZgQFQYdz0GSgT2VyvKQodqo6wdHqi46mIhQARnWdYOBsgch4P45Qw6hk8iyjMbGxqDP+x4K6cLGH3Q5f3E6IkOVRcrTJkRhXXaKR953NG3iI0Mxy7o4/MVvKwAA5ywI7HRRwD/mjDcIVF16e3tx0kknIS8vD+np6aMe/7vf/Q5RUd7ZgzNQx8AVkDZsSBc2pIsCz3NYMzsZAPDrzbn4IL/OTpvB+yKvdmJf5LvWz8GFi9Nx8izHnEh/wN1zhhxCJxEEAfPmzQv6ylBDIV3Y+IMuMeEhtrWEvzt1hsf293NEm+OmKNtP9JuVO2JnBYFD6A9zxhsEqi6RkZGorKzEf/7zHyxdunTEY99//33k5eXhd7/7nYd6Z0+gjoErIG3YkC5sSJcBnr1sETbkTIJJlHD7e4V44osyzJ2bA0EQcLChCx29ZkSH6bAoM97hc567MA1PXroI4SGBo6+754xbHEJH0l+2bt2K4447Dunp6Zg5cyYee+wxiKKoec7f/e53iIuLQ0ZGhu1v6tSp7uj+iEiShObm5qAP8w+FdGHjL7rcs2EOvrt7LS5YnOGx93REm6VTBtYyLpuagNS4wCgfPRL+Mmc8TbDrUl9fjxtuuAEvvfQSdDrvLP8P9jEYCdKGDenChnQZIDJUhxc2LsENa7IAAC98XYGT//IVnth+GO/l1QIAjs9KQogQ3DEsd88Zl6vrSPrLrl27cNVVV+GZZ55BfX09du3ahbfeegt/+ctfNM9bV1eHxx9/HHV1dba/6upqV3d/VGRZRltbW9CH+YdCurDxF10EnkNmomfX5jmizTLrBvUAcPaCwC4mo+Ivc8bTBLMusizjqquuwrXXXouVK1c69Bqj0Yiuri67PwC2HxOSJDHboihqtkVRRFtbGywWi20cRFG0tQc/rrZlWR7WVm0a3FZvCA9uS5LkUHs8Ng1uj8cmWZbR2toaUDa5YpwsFgva2trs+uXvNrlinCwWC1pbW23vGQg2jWecJEnEXetn428XL0BECI/aTiOe21WB1/fUAABWz5jgdza5epxEUURLS4tVL+dscgSXO4SOpL/s3bsXv//973HiiScCADIyMnDddddhy5Ytmuetr69HZmamq7vrNIIgIDs7m8L8QyBd2JAu2jiiTWZiBHLSYpEYFRoU6aIAzRkt/FGXlpYWu6yWoX9PPvmkQ+d56qmn0NHRgYcfftjh9960aRPi4uJsf+r1U72RWltbi9pa5e57VVUVGhqUbV0qKirQ1NQEACgtLUVrq7J+p6SkBF1dXcjOzkZJSQn0ej0AoLCwEAaDAQBQUFCAvj6lOFVeXh5MJhNEUUReXh5EUYTJZEJeXh4AoK+vDwUFBQAAg8GAwsJCAIBer0dxcTEAoKOjAyUlJQCA1tZWlJaWAgCamppQUaGsK25oaEBVVdWYberoULa1KS4uHpdNgiBg6tSpNjsCwSZXjFN1dTWys7PR1NQUMDa5YpxKS0uRkpICQRACxiZXjNM585LxwunxePrSRVgzMwkCB0SFCjh+SpTf2uSqcWptbUVISAgEQXDaJkfgZDfebn3kkUfw9ddf4+uvvx712GuvvRalpaWax6anp2Pbtm1YsGDBmPrS1dWFuLg46PV6xMbGjukcgOJ9NzU1ISUlBTwf3OHrwZAubEgXbRzVptdkgdkiO1RuOhCgOcNmrLq46rvfE7CumUVFRTjppJOwe/duZGdnAwA2b96MzZs3j3htNRqNMBqNtv93dXUhMzMTHR0diI+Pt9055nneri2KIjiOY7ZlWUZLSwsmTJgAnU4HjuMgiiJ4ngfHcbBYLBAEwa4NKHeqB7d1Op3tjrjaliQJgiDYtSVJgizLo7ZZdjhq0+C2asdYbOJ5HseOHcOECRMQGhoaEDa5YpxEUURraysmTpwInucDwiZXjJPZbEZLSwsmTZoEWZYDwiZXjZPZbEZbWxuSk5Oh7zWB4wXER4b4tU2uGCeLxYKmpiakpg7cHHfEJoPB4NA10Ou/NmRZxuOPP47NmzfjgQceYB4jiiKampqwY8cOLF++HNOmTcN5552HgwcPap7XHeky6sDo9XpmCDmYwvusdldXV0DZ5Ipxslgs6O7utuuXv9vkqnESRRHd3d2jpp9FhuoQFcr5hU2uGqfu7m7b/AkUm8Y7TqIoQq/Xuy1dxlf56quv0NnZiblz54LjOHAch1/96lf45ptvwHEcXn75ZebrwsLCEBsba/cHwOZMqz/Oh7YFQdBscxyH7u5u2w+hwY8DsDmJg9scxw1rAxjWVn84DW7zPO9Qezw2DbVvrDbJsgyDwcC0w19tcsU48TyP7u5u24/qQLDJFePE8zwMBoPtx34g2OSqcRIEAd3d3QCAxJgIJESF+r1NrhgnjuPQ09Nju4HgjE2O4JRD6Kr0F5X29nacffbZeP7557F9+3asW7eOeVxHRwfS0tIgCAK++uorHDlyBKtWrcJJJ51kC40OxR3pMh0dHRAEAUaj0RYqDvbw/uB0mczMTEqXYaTLzJo1i9JlGDZ1dXVh1qxZlH42xKb8/HzMmjULJpMpYGxyVbqMenF0R7qMr3LrrbfaHGv175VXXsHJJ58MWZZx9dVXe6wvgiBg1qxZth8oxACkDRvShQ3pog1pw8bdungtZbSqqgqnnnoqTjzxRDz33HOIi4tz+vzZ2dm45ZZbcN111w17zh3pMuodgLq6OqSnp0MQBArvYyBdpr6+HikpKZQuMyRdpqmpCZMmTbLdufF3m1w1TrIs49ixY0hJSaH0M9E+Xaa5uRmpqamQZTkgbHLFOFksFjQ0NCAjY6ASriM2OZou4wuMdM0cjCMpo0NxReqsJEloaGhAWlqaU3eegwHShg3pwoZ00Ya0YTNWXRz97vdK7Wq9Xo/TTjsNN998M2677TaHXiNJ0jABBjtpQwkLC0NYWNiwxweHVYc+BsDO82a1JUmC2Wy2CxurDC4FPlrb0bAxq4/OtkezaaS2ozZJkgSTyRRQNql9H69NRqNxWEjf321ytD1S3yVJgtFoHJaG4c82jdZ21Caj0ahph7/apPZ9PONkNpvHZJO/8Mgjjzh03FVXXYWrrrrKrX3RYvCNVsIe0oYN6cKGdNGGtGHjTl284nr//ve/x+rVqx12BisrKzFt2jRs374dgOII/t///R/a2tpw4YUXurOrw+B5HllZWXTXYgikCxvSRRvShg3pwoZ08T40BtqQNmxIFzakizakDRt36+IVtbdt24ZPPvmEuQ6xrq4OAOzWJE6fPh3/+Mc/8Mc//hHp6elITk7Gzp078dVXX2HixIke7bskSaipqQmIYgWuhHRhQ7poQ9qwIV3YkC7eh8ZAG9KGDenChnTRhrRh425d3JoyqpX+ohYDGAnVMVQ588wzceaZZ7qiWwRBEARBEARBEATcXFTGl/CnvagIgiAI10Df/QqkA0EQRPDh00VlvIHq96r7EY4VSZJQXV2NqVOnUn7zIEgXNqSLNqQNG9KFzVh1Ub/zg+TepyauuAbS3NSGtGFDurAhXbQhbdi4+xoYNA6husmluh8hQRAEETx0d3ePaXujQIGugQRBEMHLaNfAoEkZVffviImJ0dyqwhHU/Qxra2sp7WYQpAsb0kUb0oYN6cJmrLrIsozu7u6g39PKFddAmpvakDZsSBc2pIs2pA0bd18DgyZCyPO83YbG4yU2NpYmKgPShQ3pog1pw4Z0YTMWXYI5MqjiymsgzU1tSBs2pAsb0kUb0oaNu66BwXu7lCAIgiAIgiAIIsghh5AgCIIgCIIgCCJIIYfQScLCwvDwww8jLCzM213xKUgXNqSLNqQNG9KFDenifWgMtCFt2JAubEgXbUgbNu7WJWiKyhAEQRAEQRAEQRD2UISQIAiCIAiCIAgiSCGHkCAIgiAIgiAIIkghh9AJNm/ejHnz5iEjIwPLly/HDz/84O0ueZx///vfyMnJQXp6OrKzs/Gvf/3L7nmj0Yh7770XM2bMQFpaGs477zw0NDR4qbfeoa6uDomJibjqqqtsjwWzLlVVVTjvvPOQnp6O1NRUXHrppWhsbLQ9H6zaGAwG3HHHHZg2bRoyMjKQk5OD559/3vZ8sOgiSRL27NmDO+64A4mJidi8ebPd847oUF9fj0svvRRTp05Feno6br/9dphMJg9aERzQNZCugY5A10B76BrIhq6BvnX9I4fQQd544w3cd999eP/991FXV4d77rkHZ511FqqqqrzdNY/x+uuv45FHHsF7772H+vp6fPDBB3jooYfw9ttv24658cYbsXfvXuzbtw9Hjx7FzJkzccYZZ0AURS/23HPIsowrr7xy2H5fwapLZ2cn1q5di3POOQd1dXWorKxESEgInn32WdsxwarNFVdcgaKiIuTl5aGurg7vvPMONm3aZNMmWHR55ZVX8Lvf/Q4REREQBGHY86PpYDKZcNppp2Hy5MmoqKjAwYMHkZ+fj9tvv93TpgQ0dA2ka6Aj0DXQHroGakPXQB+7/smEQ8yYMUN+4okn7B4755xz5Ntvv91LPfI8N9xwg/zWW2/ZPXb77bfLF1xwgSzLslxTUyPzPC/v27fP9rzRaJSTkpLkrVu3erSv3uKvf/2rvH79evnhhx+Wr7zySlmWg1uXhx56SD777LPtHrNYLLZ2MGsTHh4uf/zxx3aP3XrrrfI555wTtLpMmTJFfuWVV2z/d0SHN954Q05KSpJNJpPtmH379slhYWFyS0uLx/oe6NA1kK6BjkDXQHvoGqgNXQPt8fb1jyKEDlBbW4vy8nKcffbZdo+fc8452LZtm5d65Xn+/ve/47LLLrN7rKioCLGxsQCAb775BikpKViyZInt+dDQUKxfvz4odCosLMTjjz+OF154we7xYNZl69atOPPMM+0eG3wXLJi1Wbp0KT7++GNIkgRASZ/ZtWsXTjrppKDWZTCO6LBz506cfvrpCAkJsR2zZMkSJCYmYufOnR7vcyBC10AFugaODF0Dh0PXQG3oGjgynr7+kUPoAPX19QCAtLQ0u8fT0tJszwUbZrMZN998M3788UfceeedABSdhmoEBIdO/f392LhxIx5//HFMnz7d7rlg1qWsrAzx8fG45pprMG3aNMyfPx+PPvooLBYLgODWZsuWLejs7MSCBQtw3XXXYc2aNbjuuutwxx13BLUug3FEB61j0tPTg0ord0LXwOHQNdAeugayoWugNnQNHBlPX//IIXQA1fPmeXu5OI6DHITbOB49ehSrV6/GV199he+//x7z5s0DoOg0VCMgOHS6++67kZWVhauvvnrYc8GsiyiKePTRR/HLX/4SlZWVeP/99/HOO+/gnnvuARDc2jQ2NuLYsWNYtWoVVqxYgdjYWHz88cdobGwMal0G44gOpJX7oWugPXQNHA5dA9nQNVAbugaOjKevf+QQOoC6OHpoZZ+Ghgakp6d7o0teY9++fVi2bBlOPPFEFBQUYOHChbbnMjIymBWgAl2nHTt24N1338VLL73EfD5YdQGAyZMn49prr8XJJ58MjuMwe/ZsPPjgg3jttdcABK82XV1dOO2003DXXXfhxRdfxK9+9Svs3LkT06dPx8aNG4NWl6E4ogNp5X7oGjgAXQOHQ9dAbegayIaugaPj6esfOYQOkJKSgoULF+Kzzz6ze3z79u3YsGGDl3rleY4ePYozzzwTzz//PP72t78hLCzM7vlTTjkFzc3NOHDggO0xi8WCnTt3BrROn332GZqbm5GSkgKO48BxHP7whz/g1VdfBcdx4Hk+KHUBgNWrV8NoNA57XJ07wTpnDh8+jLa2NqxZs8bu8fXr12Pv3r1Bq8tQHNFh/fr1+OKLL2wpWABw8OBBtLS04JRTTvF4nwMRugYq0DWQDV0DtaFrIBu6Bo6Ox69/zlbBCVbeeustOT09XT5y5Igsy7L84YcfyrGxsXJ5ebmXe+Y5zjjjDPmRRx4Z8Zhrr71WPvXUU2W9Xi9bLBb5rrvuknNycmSz2eyhXvoGgyusyXLw6lJWVianpaXJX3/9tSzLslxdXS3PnTtXfvDBB23HBKM23d3dcnJysnzzzTfLPT09siwr2qxcudJWsTAYdRlaZU2WR9fBbDbLOTk58r333itbLBa5s7NTXrt2rfzb3/7WCxYELnQNpGugM9A1UIGugWzoGjgcb1//yCF0gn/+85/yzJkz5dTUVHnp0qXyt99+6+0ueRQAcnJyspyenj7sT6W/v1++9dZb5fT0dHnSpEnyueeeK9fW1nqx195h6MUwmHX5+uuv5eXLl8sTJ06Up0+fLv/xj3+0+0IPVm0OHz4sX3rppXJGRoacmpoqT58+Xb7nnntkg8Egy3Jw6sK6IDqiQ21trXzuuefKqampcnp6unzrrbfK/f39Hux5cEDXQLoGOgpdAwegayAbugba4+3rHyfLQbI6kyAIgiAIgiAIgrCD1hASBEEQBEEQBEEEKeQQEgRBEARBEARBBCnkEBIEQRAEQRAEQQQp5BASBEEQBEEQBEEEKeQQEgRBEARBEARBBCnkEBIEQRAEQRAEQQQp5BASBEEQBEEQBEEEKeQQEgRBEARBEARBBCnkEBIEQRAEQRAEQQQp5BASBEEQBEEQBEEEKeQQEgRBEARBEARBBCnkEBIEQRAEQRAEQQQp5BASBEEQBEEQBEEEKeQQEgRBEARBEARBBCnkEBIEQRAEQRAEQQQp5BAShA/S2tqKTZs2QRRFb3eFIAiCIDwKXQMJwrOQQ0gQXqS1tXXYY/v27UNzczO++uorXHPNNV7olXMYjUb09vZ6uxsEQRCEnxEI10CCCATIISQIL1FZWYlJkyZh27Ztdo/v3LkTZ5xxBl544QV899132Ldvn+25xsZGHD58eMS/zs5Oj/T/k08+wcKFCxEZGYmoqCjMmjULL774okfemyAIgvBv/P0aqCKKIq644gqsWbMGVVVVHn1vgnAVOm93gCCClWeffRaJiYk45ZRT7B6/6667UFZWhvvuuw/79+9HVFSU7bnf//73ePXVV0c87z/+8Q9cd911zOdaWlpgsVggiuKI/86aNQtxcXGa7/Hpp5/iggsuwAMPPICPPvoIOp0OO3bswPXXX4/+/n7ccsstTihBEARBBBv+fA0czKOPPop3330XJpMJPT09Dr2GIHwNTpZl2dudIIhgo6ysDPPnz4fRaBz23IwZM/DZZ58BAGbOnOmy9+zv70dERITdYxzHQafTQafTISQkBCEhIejt7cVxxx2H7777TvNcJ5xwAjIzM/Huu+/aPX7ZZZfh8OHDKCgocFm/CYIgiMDC36+BKrt378aaNWvw2GOP4e6770ZRURHmzZvnsj4ThKegCCFBeBhZlnHjjTdi+vTpeP/998HzA5nbH330ER566CFMmjQJMTExLn3f8PBwtLW12S566kVwKGeccQYkSRrxXLt372Y+brFYhl1wCYIgCEIlEK6BAKDX67Fx40bcdtttWLt2rUv7ShCehhxCgvAwjzzyCL799lvs3r0bc+fOtXuuqKgIJ5544rALocFgcOrieO+992LTpk3DHk9MTBzxdRaLBXv27MHNN9/s8HuZzWYcO3YMb7/9Nnbu3In333/f4dcSBEEQwUWgXAOvv/56JCUl4dFHH0VhYaHDfSMIX4QcQoLwIK+99hr+9Kc/4aWXXsKSJUvsnmtvb8eHH36IF154YdjroqKiUFJSMur5jUYjjj/+eBgMhjH1b8eOHejs7MT555/v0PFPP/00brvtNgBARkYG3njjDbpTShAEQTAJlGvgq6++io8//hj5+fkICQkZ03sRhC9BDiFBeIjnn38ev/vd7/Dggw/iN7/5zbDnn376aURGRuKSSy4Z9hzHcZgzZ86o7/Hqq6+ir68Pv/rVr8bUx+eeew45OTnDLtRaXH311fjZz36G1tZW7Ny5Ez//+c9x7bXX4q9//euY3p8gCIIITALlGlhRUYGbbroJTz/9NGbPnj2m9yEIX4McQoLwEKmpqfjDH/6ABx98cNhz1dXVeOKJJ/CnP/0JkZGRYzp/X18f/vCHP+DMM8902KEbzBdffIHPP/8cb775psOviY6ORnR0NDIzM7F48WKkpqZi48aNuOqqq5CTk+N0HwiCIIjAJBCugRaLBb/4xS+wbt062iORCCioyihBeBmz2YyTTz4Z3d3dyMvLQ1hY2JjOc8011+DNN9/E/v37MWvWLKde29TUhMWLF2P27NnYuXMnOI7TPLampgYlJSVYvXq1XTlwQLmoT5s2De+++y7zLi9BEARBDMafroGFhYVYtGjRqOd75ZVXcNVVVznVB4LwJhQhJAgvIkkSrrzyShw4cAA//vjjmC6Esizj3nvvxcsvv4xXX33V6QthY2Mj1q1bB0BJtxnJGQSA7u5unHHGGXjqqadw66232j136NAhAMDkyZOd6gNBEAQRfPjbNXDOnDnMtYwHDx7ERRddhK1bt2LmzJlITU11zgiC8DLkEBKEl+jt7cUvf/lLfPbZZ9i6dSvmz5/v9DnKy8tx44034quvvsLzzz+PK664wqnXf/rpp/jNb34DjuPwxRdfOOTIzZs3D9deey3uueceAMAvfvELREZGYteuXbj++utxyimnYMWKFU7bQhAEQQQP/ngNDAsLY65lVIvYTJs2zaG1jgTha/CjH0IQhKvZtWsXFi5ciO+++w5ffvklTj/9dIdf29/fj//+97+4+OKLkZ2djYqKCnz55Ze48cYbHXq9KIrYtm0b1q1bh7PPPhtz5sxBfn6+U5vpvvDCC3jggQfw6KOPIiUlBTExMbj88stx6aWX4pNPPhk1ykgQBEEEL/5+DSSIQIPWEBKEBxFFERdeeCG2bt2KDRs24N///jfS0tKcOofJZMKyZcsgiiJuuukm/PrXv0ZoaKjDr9+xYwc2bNiA7OxsPPDAA7jsssucNcOO5uZmiKKISZMmkSNIEARBaBKI10BAKTbT2tqKCRMmMDe7JwhfhxxCgvAw//vf/yBJEs4999wxn6O3t3fMldgA4MiRI1QumyAIgvA4dA0kCN+DHEKCIAiCIAiCIIgghdYQEgRBEARBEARBBCnkEBIEQRAEQRAEQQQp5BASBEEQBEEQBEEEKeQQEgRBEARBEARBBCnkEBIEQRAEQRAEQQQp5BASBEEQBEEQBEEEKUGze6YkSWhoaEBMTAxtnk0QBBEkyLKM7u5upKWlgeeD9x4oXQMJgiCCD0evgUHjEDY0NCAzM9Pb3SAIgiC8QG1tLTIyMrzdDa9B10CCIIjgZbRrYNA4hDExMQAUQWJjY73cG4IgCMITdHV1ITMz03YNCFboGkgQBBF8OHoNDBqHUE2RiY2NHdfFUJZl6PV6xMXFUdrNIEgXNqSLNqQNG9KFzXh1CXYtXXENpLmpDWnDhnRhQ7poQ9qwcfc10GsLKv79738jJycH6enpyM7Oxr/+9a8Rjz/33HORlJSEjIwM29/q1as91NsBJElCTU0NJEny+Hv7MqQLG9JFG9KGDenChnTxPjQG2pA2bEgXNqSLNqQNG3frwsmyLLvlzCPw+uuv47777sPnn3+OnJwclJSUYO3atXjqqadw2WWXMV+zZMkSPPbYYzjjjDPG9J5dXV2Ii4uDXq+ndBmCIIgggb77FUgHgiCI4MPR736vRAj37NmDv/zlL8jJyQEAZGdnY+PGjdiyZYvma+rr631iQbwkSWhra6M7F0MgXdiQLtqQNmxIFzaki/ehMdCGtGFDurAhXbQhbdi4WxevOIR///vfh0UCi4qKND1Xk8mElpYWTJ482RPdGxFZltHY2AgvBFZ9GtKFDemiDWnDhnRhQ7p4HxoDbUgbNqQLG9JFG9KGjbt18fqmTGazGTfffDN+/PFH3HnnncxjGhoaEB4ejhdffBGLFy/G9OnTsXHjRhw9elTzvEajEV1dXXZ/AGyetSRJzLYoiiO2BUFAdna2bS8PURRtg2OxWIa1ZVke1gYwrC2K4rC2JEkOtcdr01A7xmKTIAjIycmxHRsINrlinABg3rx54DguYGxy1ThxHId58+bZ3jsQbHLFOMmyjHnz5oHn+YCxyRXjxHEcsrOzIQiC0zYRrkEQBMybNw+CIHi7Kz4HacOGdGFDumhD2rBxty5edQiPHj2K1atX46uvvsL3339v+3E4FL1ej4kTJyI1NRW7d+9GUVERJkyYgFNOOQU9PT3M12zatAlxcXG2PzXdtLq6GoBSeru2thYAUFVVhYaGBgBARUUFmpqaAAClpaVobW0FAJSUlKCjowOSJCE3NxcdHR0AgMLCQhgMBgBAQUEB+vr6AAB5eXkwmUwQRRF5eXkQRREmkwl5eXkAgL6+PhQUFAAADAYDCgsLbbYWFxcDADo6OlBSUgIAaG1tRWlpKQCgqakJFRUVABRnuaqqalw2AUBxcTH0ev2YbZIkCXV1dcjPzw8Ym1wxTuXl5WhubkZdXV3A2OSqcWpra0NzczOKiooCxiZXjVNzczN6enoCyqbxjlNjYyMOHDgASZKctolwDZIkobm5mRxtBqQNG9KFDemiDWnDxt26eKWoDADs27cPZ555Ji6//HI89thjCAsLc+r1oigiLi4O77//PjZs2DDseaPRCKPRaPu/ug9HR0cH4uPjbYLyPG/XViMXWm1ZlnH48GHMnj0bOp0OoijCLMn4rqwNhbUd2LhiClLjI2xRM7Wvg9s6nc52R1xtq9HHwW1JkiDL8qhtlh3O2KS2eZ4Hx3F2bdWOwW2WTRzH4ciRI5gxYwZCQ0MDwiZXjJPFYkFFRQVmzJgBQRACwiZXjZMkSSgvL0dWVhZCQkICwiZXjJPZbEZFRQVmzpwJAAFhkyvGyWw2o7S0FHPmzLGVz3bEJoPBQMVU4JqiMqIoorS0FLNmzaK790MgbdiQLmyCWReD0YKXvq3EhUvSMSUpatjzwazNSIxVF0e/+73iEB49ehTLli3D888/j4svvtih10iSZEvTBJTUpNjYWHz44YdYv379qK93R4W14no9Xt1djc8PHkN3v5IGdfnKKfjT+exIJ0EQBOFZqLqmAulAEIQv8M9vKvD4tsPITo3F/24+EQJPew26E5+uMnrdddfhhhtucNgZ3L17N2bPno3c3FwAQH9/P2655RZkZGRgzZo1buzpcCRJQmNjI8qOdeHCf+zGln116O63ICJE8daPNHV7tD++gqoLhfjtIV20IW3YkC5sSBfvQ2OgDWnDhnRhE8y67D/aCQAoaezChwX1w54PZm1Gwt26eMUh3LZtG1544QW7TebVPwCoq6tDRkaGbRuKE044AQ888AB++9vf2o5raGjAjh07nE41HS+yLEPf1YV7PyyCySJh6ZQEvHvtSrx97UoAQGULe01joCPLMrq7u6kq1BBIF21IGzakCxvSxfvQGGhD2rAhXdgEsy5F9Xpb+4kdR9BvFu2eD2ZtRsLdunhtDaGncWW6zGs/VuOhjw8iKlTAjttPRnp8BLr7zZj/yA4AwIFHTkdseIgruk0QBEGMA0qVVCAdCILwNq0GI5Y++iU4DkiJCcexrn7cvWE2blgzw9tdC1h8OmXUn6lt78Gmz5QKeHdvmIP0+AgAQEx4CJJjlGhlVRBGCdUqoxTit4d00Ya0YUO6sCFdvA+NgTakDRvShU2w6lJUp0QHp0+Iwj1nzAYA/GNXBdoMA0Ugg1Wb0XC3LuQQOoEsy3jgo4PoM0s4bkoCLl85xe75aROUakmVrQZvdM/rDK7qSgxAumhD2rAhXdiQLt6HxkAb0oYN6cImGHU5YHUIF2TE47yF6chJi0W30YLndpbbHReM2jiCO3Uhh9AJPt7fgG9KWxAq8PjzzxaAH1IZafrEaADBuY6Q53lkZWXZVYIlSJeRIG3YkC5sSBfvQ2OgDWnDhnRhE6y6FNV3AgDmp8eB5zncd2Y2AOCNPTVo6VacnWDVZjTcrQup7QR7KtsAAFccNwHTJ0QOez5rojVCGIQOoSRJqKmpoRD/EEgXbUgbNqQLG9LF+9AYaEPasCFd2ASiLgajBRZxZHsGIoRxAIBVMyZgRnI0LJKMYmuxmUDUxhW4WxedW84aoGy6cD7WZSdjWng/8/npqkPYGnwOIUEQBEEQBBEclDcb8IdPDqKuow9NXf3oNYmYnBiJHbedhPCQ4RunN3X1o7nbCJ4DctLibI/PmRSD8mYDjjR1Y+2cZE+aQAyCIoROwHEc1s2dhKzpU5kh22kTlJTRqlYDJCkoirfa4HkeU6ZMoRD/EEgXbUgbNqQLm2DXxWAw4I477sC0adOQkZGBnJwcPP/88x7tQ7CPwUiQNmxIFzaBoMsrP1Thu7JWVLX2oNekbB1xtL3XFukbihodnJUSg4jQAYdxzqQYAEDpMWUf70DQxh24WxdS20kkSUJFRQUzZJuZEIEQgUO/WUJjFzuKGKiMpEswQ7poQ9qwIV3YBLsuV1xxBYqKipCXl4e6ujq888472LRpE5599lmP9SHYx2AkSBs2pAubQNDlp6p2AMD9Z2bj6zvXYO3siQCA/bWdzOOL6pTH56fH2T0+K0VxCA9bHcJA0MYduFsXcgjHQFhYGPNxncBjcqKytrCyJfgqjWrpEuyQLtqQNmxIFzbBrMu2bdtw0003ISkpCQAwf/58XHLJJfjyyy892o9gHoPRIG3YkC5s/FmXjh4TypqV37kXLknH1AlROG5KAgCgsI4dISwcsn5QZbY1QljeYrCtQfRnbdyJO3Uhh9BJeJ5HRkaGZsg2WCuNjqZLsEK6aEPasCFd2AS7LkuXLsXHH39suztsMBiwa9cunHTSSR7rQ7CPwUiQNmxIFzb+rktutRIdnJEcjaRoxUlZmBkPADhgjQQORpZlFFlTSednxNs9l5kQiYgQASaLhOq2Xr/Xxl24WxdS20lEUURpaSlEUWQ+P926F2FVkBWWGU2XYIV00Ya0YUO6sAl2XbZs2YLOzk4sWLAA1113HdasWYPrrrsOd9xxB/N4o9GIrq4uuz8ANodSkiRmWxRFzbbZbEZpaSlMJhNkWbY9rrYtFsuwtizLw9oAhrXVcR3cliTJofZ4bBrcHo9NoijiyJEjMJlMAWOTK8bJZDKhtLQUZrM5YGxyxTiZTCYcOXIEoij6pU1quujSKfG2x3NSlUhfTVsvWrv77Gyq6+hDe48JOp7DnJRoO5s4DpiZrPx2PnKsyzZnLBaL18fJl+ae2WzG4cOHbX1yxiZHIIfQSTiOQ0xMDDiOYz6vVhqtCLKU0dF0CVZIF21IGzakC5tg16WxsRHHjh3DqlWrsGLFCsTGxuLjjz9GY2Mj8/hNmzYhLi7O9peZmQkAqK6uBgDU1taitrYWAFBVVYWGhgYAQEVFBZqamgAApaWlaG1tBQCUlJSgs7MTMTExOHToEPR65W5/YWEhDAbleldQUIC+vj4AQF5eHkwmE0RRRF5eHkRRhMlkQl5eHgCgr68PBQUFAJRoZ2FhIQBAr9ejuLgYANDR0YGSkhIAQGtrK0pLSwEATU1NqKioAAA0NDSgqqpqzDZ1dHQAAIqLi8dlE8dxCAsLw/79+wPGJleMU1VVFWJiYtDY2BgwNrlinI4cOQKO48BxnF/atLtMsSkzzGizqaG6HFMSwgEAn3x/wM6m3IpjyvGxAiSLaZhNiYKyB+Gh+k7k5+cjJiYG/f39Xh8nX5p7zc3N6OnpAcdxTtvkCJysurUBTldXF+Li4qDX6xEbG+u298mtbsfF//wR6fER+OHeU9z2PgRBEMToeOq73510dXVh+vTpePnll3H++efbHr/xxhtx6NAh7Nq1a9hrjEYjjEaj3TkyMzPR0dGB+PiBu/o8z9u1RVEEx3GjtnmeB8dxdm2LxQJBEOzagHKnenBbp9PZ7oirbUmSIAiCXVuSJMiyPGqbZQfZRDaRTe6xqavXiCWPfgWLJOPbO09GRmKkzY7btxzAx/sbcOupM3DLulk2m/62oxT/+KYSly7NwOM/WzDMppe+rcD/bTuCDTkpeP6yRTROLrTJYDA4dA2kCKGTiKKIkpISWwh3KGrKaIO+D/3m4EltGk2XYIV00Ya0YUO6sAlmXQ4fPoy2tjasWbPG7vH169dj7969zNeEhYUhNjbW7g+Abf0Jz/PMtiAImm1Zlm13rtVIrfpDCAB0Ot2wNsdxw9rq6we31R9Og9s8zzvUHo9Ng9vjsUkURRw+fNh2bCDY5IpxApQoiyzLAWOTK8YJgC1l1N9sOlDfDYskIz0+ApMnRNvZt8i6jrCovsvOpqJ6JWV90eQEpk3Z1n0JS5sM4DgOJSUlkCTJ6+PkS3NPlmXbsglnbXIEcgidhOM4JCUlaaYtJUaFIjZcB1kGqtuCZx3haLoEK6SLNqQNG9KFTTDrMnfuXCQnJ+Ohhx5Cb28vAKCmpgabNm3Chg0bPNaPYB6D0SBt2JAubPxZl5+sBWWWTU0Y9pxaWKawrtO2rq7fLKLQuhXF0C0nVNRKo9VtPTBaJL/Vxp24e86QQ+gkPM8jOTlZ0+vmOM7nKo3KsozKFgM+K2rEk1+U4qa38rGtiL3uZKyMpkuwQrpoQ9qwIV3YBLMu0dHR+Pbbb9Hc3IzZs2cjLS0Np5xyCk4++WS8/vrrHutHMI/BaJA2bEgXNv6sS661oMyyaYnDnpubGgsdz6HVYEJ9p7Ku7oP8enQbLchIiEB2KjtlcWJ0GBIiQyDJQGVrr99q407cPWdIbScRRRHFxcUjpi2phWV8ZS/C339QhFOe+AY3vJmPZ78qw/8ONOKWd/fjiHUTUFfgiC7BCOmiDWnDhnRhE+y6zJ49G++88w5qa2vR0NCAiooKPP7444iKivJYH4J9DEaCtGFDurDxV11MFgkFtUqRlRUMhzA8RMAca7XRwlo9ZFnGf35Qip9cdcJUCDw7usVxnC1KeKhB75fauBt3zxlyCJ2E4zikpqaOGLLN8rEI4Y5DSpWhuamxuGRpBo6bkgCTRcKt7+6H0eKaieWILsEI6aINacOGdGFDungfGgNtSBs2pAsbf9WluEGPfrOExKhQ22/doSy07jN4oK4T35S2oLzZgOgwHS5dljniuWenKA5hWbPBL7VxN+6eM+QQOgnP80hKShoxZDvNWlimwgf2ImwzGNHeYwLHAf+9/gT85aKF+MfGJUiIDEFJYxee/rLMJe/jiC7BCOmiDWnDhnRhQ7p4HxoDbUgbNqQLG3/SZfBmBAP7DyZoOibqOsL9tZ349/dKdPDSZZmICQ8Z8X1mWSOEpU0Gv9HGk7h7zpDaTiKKIgoLCx1KGa1qMdh9kLxBWbOStpqREIGIUKVSUXJsODZdOB8A8M9vKpBrXSA8HhzRJRghXbQhbdiQLmxIF+9DY6ANacOGdGHjL7p8eagJcx/ajrOe/Q5/3X4YOw4q+wkuZ6SLqqiVRvOPduC7slbwnJIuOhpzrA7hkWNdfqGNp3H3nCGH0El4nseUKVNG9NCnJkWB54Cufgve31fnwd4NR3UIZybH2D2+YV4qLjouA7IM3PbufhiMlnG9jyO6BCOkizakDRvShQ3p4n1oDLQhbdiQLmz8RZdtxcfQZxZxsKELf99VgfyjnQBGdgizJkYjMlSAWVQCIutzJiEzMXLU95ppTRk91mVEQkq6z2vjadw9Z7yq9ubNmzFv3jxkZGRg+fLl+OGHHzSPra+vx6WXXoqpU6ciPT0dt99+O0wmkwd7q8BxHOLj40fM4Q0PEfCrVdMAAHf/9wDezT3qqe4No6xJKRwzM3l4rvfD58xFRkIE6jr68NK3leN6H0d0CUZIF21IGzakCxvSxfvQGGhD2rAhXdj4iy5H25WlT5ctn4xzF6YhPjIEizLjMVejWigACDxnt73Eb06c5tB7xYaHIC0uHABwrI/3eW08jbvnjNccwjfeeAP33Xcf3n//fdTV1eGee+7BWWedhaqqqmHHmkwmnHbaaZg8eTIqKipw8OBB5Ofn4/bbb/d4v0VRRH5+/qgh2wfOysYVx0+BLAP3/LcIb+6t8VAP7SlrskYIU2KGPRcTHoLfn5ENAPj391Xo6Bm7g+2oLsEG6aINacOGdGFDungfGgNtSBs2pAsbf9Glpk3Z9/Sy5Zl49rLFKHjwNHx04yrohJHdBzVtdGFmPI6bMny/Qi3USqNf5h70eW08jbvnjNccwj/84Q+48847MWfOHADAz372M5x00kl4/vnnhx27ZcsWNDc34//+7/8gCALi4+Px5JNP4uWXX0Zra6tH+83zPGbOnDlqyJbjOPzh3Bz8atVUAMD9HxbjvdxaD/TQnoGUUXY1qDPmTcLc1FgYjBa8OI4ooaO6BBukizakDRvShQ3p4n1oDLQhbdiQLmz8QZdekwXN3UYAwJREpTaGo9GpX584DRcuScfjF853KqKlFpbRI8qntfEG7p4zXlG7trYW5eXlOPvss+0eP+ecc7Bt27Zhx+/cuROnn346QkIGKhQtWbIEiYmJ2Llzp9v7OxiO4xATE+PQBOc4Dg+dPRfXrFbC5fd/VIT8ox3u7qKNjh4TWg3KhzlLwyHkeQ53nD4LALB5dxWau/vH9F7O6BJMkC7akDZsSBc2pIv3oTHQhrRhQ7qw8QddjrYr0cG4iBDERY5cIXQoKbHhePKSRZob0WuxyLplxQ9VnfByTUafw91zxisOYX19PQAgLS3N7vG0tDTbc0OPH3osAKSnpzOPBwCj0Yiuri67PwCQJMn2L6stiuKIbYvFgp9++glms9n2uFpJ1GKxMNt3nz4TG+ZNglmUcf3r+9Dc3Q9ZlmGxKIVcZFm2hYAHtyVJcqitZVNpk2JzWnw4IkN4TZtOmZOMxZlx6DdLeGFXxag2qX0f3FZ1MRqNbrXJ0XEaOjZjsUnt+3jGyWg0Ijc3FyaTKWBsctU4mUwm5Obmwmg0BoxNrhgndc6YzeaAsckV42QymfDTTz/BYrE4bRPhGiwWC3Jzc21jSAxA2rAhXdj4gy5quujUpNELwriKNbOTERUmoK6jDz9VejYD0Ndx95zxikOoRvqGhj05jmNu0xASEsIMkWodDwCbNm1CXFyc7S8zU9kQs7q6GoASpaytVVI4q6qq0NDQAACoqKhAU5OykXtpaaktJbWkpAQdHR0QBAGCIMBgUFIxCwsLbe2CggL09fUBAPLy8mAymSCKIvbt24fHL8jBjIlRaOo24sY386E39KCgoAAAYDAYUFhYCADQ6/UoLi4GAHR0dKCkpAQA0NraitLSUgBAU1MTKioqAAANDQ22dZdDbcotVZzl9Gh+RJs4jsMFM5QxeWvvUXz1Y/6oNuXl5dl+1Ofl5UEQBGRlZeHAgQNutcnRcQKA4uJi6PV6h8dpqE0A0NfXN65xqqmpQU5ODpqamgLGJleNU1dXF3JycnD48OGAsckV41RQUICcnBxbOxBscsU4tba2IioqCoIgOG0T4RoEQUBOTg4EQfB2V3wO0oYN6cLGH3SpaVMKykxOivLYe0aECjhj3iQAwNYDjR57X3/A3XOGk72wUV5TUxMmTZqEsrIyzJgxw/b4yy+/jCeeeML2Y0Dl+uuvR3d3N9544w27xzMyMvDEE0/g0ksvHfYeRqPRFq0CgK6uLmRmZqKjowPx8fG2O8c8z9u1RVEEx3GjtnleqYA0uG2xWCAIgl0bUO5UC4KAyhYDzvv7bhiMFlx0XDpuOWUGMpOiIcsyJEmCIAh2bUmSIMvyqG2WHZIk4Y+fHMLmH2vwmxOn4v4zs0e0yWKx4Jf/ycWeynZctiwT/2fN+x7NJrWt0+lsd/nVtjts8sQ4kU1kE9kUODYZDAbExcVBr9cjNta59KVAoquri3QgCMJh7v+wCG/uPYqb1s7Anetne+x9fyhvxcaX9yIuIgQ/3X8qwnS+6zT7A45+93slQpiSkoKFCxfis88+s3t8+/bt2LBhw7Dj169fjy+++MIuTHrw4EG0tLTglFNOYb5HWFgYYmNj7f6Agagkz/PMtiAII7bVkK2axqT+EAIAnU43rM1xnK2dlRyDpy9dBAB4f189Vv/1G2x4+lv8bccR9JiVHzIcx9l+RPE871Bby6byFuXuzuyU2FHt0+l0uGntTADAV4ebHbZJbVssFuzdu9em/2A7XGmTo+M0dGycGSe1rfZ9cNtZm2RZxp49eyBJUsDY5KpxkiQJe/bsgSzLAWOTK8YJAPbs2WNznALBJleMkyRJtnQZZ20iXIPFYsGePXt8Os3NW5A2bEgXNv6gi7qGcIoHU0YBYOnkOCSEc9D3mfH1kRaPvrcv4+4547Wr5T333IO//OUvtnSgjz76CDt27MBNN9007Nizzz4bEydOxIMPPghRFKHX63HzzTfjV7/6FSZOnOjRfguCgMWLF485ZLtubgqevWwxjpuSAJ4DDh/rxt93VeC2d/a7tqMAypqVPQhnpLALygxl8eR4cBzQ3G1Em8E4+gsGMV5dAhXSRRvShg3pwoZ08T40BtqQNmxIFzb+oIu6hnCKB1NGASA0RIcLlkwGAHxUwK4TEoy4e854zSG87LLL8OCDD+Lss89GWloaHnvsMfzvf/9DVlYW6urqkJGRgS1btgBQ7jp//vnnOHToEDIzM5GTk4OFCxfimWee8UrfxzsY5y5Mw3+vPwF5D5yGv160ABynROXUTeRdgb7PjKYuxanT2nJiKFFhOkxJVO4ElTQ63xdf/mLzJqSLNqQNG9KFDenifWgMtCFt2JAubHxZF7Moob5TWRvu6QghAFywWCkk+VVJM/S9Zo+/v6/izjnj1Xya3/72tygtLUVDQwNyc3OxevVqAMrawLq6Olx88cW2YzMyMvDxxx+joaEBdXV1eOqppxAWFubxPg8uljBeEqNCcfHSTKyfqyygffm7qnGfU6XcGh1MjQtHTLjj5YLnTFJSaw8f63Lq/VypSyBBumhD2rAhXdiQLt6HxkAb0oYN6cLG13Wp7+iDKMkID+GRHOPZ39qiKKKnvhSzU6JhEiV8VkzFZQD3zxlaYOEkgiBg6dKlLvXSrzlJ2afww4J6tHQ7l6qpRVmTUgFwhoPRQRV1z5hDjc45hO7QJRAgXbQhbdiQLmxIF+9DY6ANacOGdGHj67rUqOsHE6M8vleiqs35i9MBKL+NCffPGXIIx4CrvfPjpiRi8eR4mEQJr/9Y7ZJzljUrDuHM5BinXpedqhw/lpRRX73T5W1IF21IGzakCxvSxfvQGGhD2rAhXdj4si4DW054Pl0UULQ5d2EaOA74qaodx/T9XumHr+HOOUMOoZOIooiCggKXD8o1q6cDAF7fU4M+0/jPrTqEsxwsKKOiRgjLm7thsgxs6txvFnHLOwV4fU8N83Xu0sXfIV20IW3YkC5sSBfvQ2OgDWnDhnRh4+u62ArKJHreIVS1SYkJxVRrQZtqq4MazLh7zpBD6CQ6nQ4rV660lU53FetzJiEzMQIdvWa8n1837vOpBWpmOukQZiREICZMB7Moo7LVYHt8+8Fj+Hh/Ax7/rARmURr2Onfp4u+QLtqQNmxIFzaki/ehMdCGtGFDurDxdV1sDuEEz1YYBey1SYwKBQB09Jg83g9fw91zhhxCJ5FlGb29vZBl2aXnFXgOv16lrCX859cVeOWHKnxb2oJGfZ/T5+ruN6PRGl6fMdG5lFGO4zDHljY6sI5Q3QumxyTiQJ1+2OvcpYu/Q7poQ9qwIV3YkC7eh8ZAG9KGDenCxtd1UVNGvREhHKyN6hC2kUPo9jlDDqGTiKKIgwcPuiVke8nSTMRFhKC+sw9/+OQQrvjPTzh+0048+UWpU+cpt6aLJseEIS7S8QqjKmraqLqOUJJkfFM6sDnonsq2Ya9xpy7+DOmiDWnDhnRhQ7p4HxoDbUgbNqQLG1/WRZJkr21KD9hrkxhJEUIVd88ZcgidRKfTYdmyZW4J2UaF6fD6b5bj+jVZOH1uCrImKqH653eW4VCD41U/c6vbAQw4ds6ibj2hRggP1OvRPujDuLuiddhr3KnLeChvNuCyf+1BwdEOr7y/r+riC5A2bEgXNqSL96Ex0Ia0YUO6sPFlXZq7jTBaJOh4DunxER5//8HaJEYrDmF7LzmE7p4z5BA6iSzL6O7udlvIdkFGPO7ZMAf/umIpvrpjDc5akApJBh7eWuzwe35efAwAsC47eUx9GFppdNfhZgDA7BTl8bzqDhgt9nco3K3LWHn7p6P4sbIN//ymwivv76u6+AKkDRvShQ3p4n1oDLQhbdiQLmx8WRe1gEt6QgR0gufdhMHaqBHCdooQun3OkEPoJJIkoaysDJI0vLCKO7j/zGxEhAjIre7Ax/sbRj2+qasf+Uc7AQCn50wa03vOnhQDjgNaDUa0dBvxtTVd9NcnTsXEmDAYLRIKrO+h4mldHKW6Vfli21fT6ZUvXl/VxRcgbdiQLmxIF+9DY6ANacOGdGHjy7octRaUmeyF9YOAvTbqGkJyCN0/Z8ghdBJBELBkyRKPbSaaFh+Bm06ZAQD4v89KYDBaRjx+x0ElOrh4cjxSYsPH9J6RoTpMs5b63V3RigN1nQCANbOTcfz0JOvj9usIPa2Lo1RZ73S1GoyobXe+QM948VVdfAHShg3pwoZ08T40BtqQNmxIFza+rEtNu/K7Sd3ywdMM1oYcwgHcPWfIIXQSWZbR2enZaNPVq6dhSlIkmruNeG5n2YjHfm51CDeMMTqoolYaffGbSsgyMDc1Fimx4Tg+S3EI9wxxCL2hy2iIkoxa68JoANh3tN3jffBFXXwF0oYN6cKGdPE+NAbakDZsSBc2vqyLbcsJL21KP1gb2nZiAHfPGXIInUSSJNTU1Hg0zB+mE/DQ2XMBAP/5vgrHrFtKDKWjx4Q9lYrTs36cDmG2tbDMIWthmTWzJwIATrA6hAW1Heg1DUQrHdXFIkqoaDF45EuwobMPZnHgffbVeL6wjDfmi79A2rAhXdgEuy5VVVU477zzkJ6ejtTUVFx66aVobGz0aB+CfQxGgrRhQ7qw8WVdanwgZVTVZvC2E77oPHsSd88ZcgidRBAELFy40ONh/lOzUzA/PQ5mUcbequHbPgDAlyVNECUZcybFYOo4NxMdWqF07RylQM3kxEikxYXDLMrIqx5wsBzRpdVgxKX/2oNTn/gGWwtHXw85XtSF0Sr7ajrd/p5D8dZ88QdIGzakC5tg1qWzsxNr167FOeecg7q6OlRWViIkJATPPvusR/sRzGMwGqQNG9KFjS/rYtuD0Ispo6o2qkNotEjoM/veFh2exN1zhhxCJ5EkCW1tbV65q3PclAQAGFbQRWW7mi46b3zRQQDIThtwCGPDdVicGQ9A2bj++KwJAIAfB+1HOJouh4914bznf7BF6bYVHRt3H0dDLSizMCMOAHDkWBe6+81uf9/BeHO++DqkDRvShU0w6/LUU09h/vz5uPrqq8FxHCIiIvDqq69i06ZNHu1HMI/BaJA2bEgXNr6qyyeFDejqt0DHc16NEKraRIYKCNUprkqbIbjTRt09Z8ghdBJZltHY2OiV0PXiyfEAgP21ncOeMxgt+LZM2R/QFQ5hWlw4YsOVvU5Wz5poV3pYTRsdXFhmJF12Hm7Cz17YjfrOPkyw7inzQ0UrLKJ7vwirrWkPy6clIiMhApIMFNbq3fqeQ/HmfPF1SBs2pAubYNZl69atOPPMM+0e80ZkIZjHYDRIGzakCxtf1KW0qRv3/PcAAODak6YjItQ70cvB2nAchyR1HWGQ70Xo7jlDDqGTCIKAefPmeeVivMgapTvU0DVsH8CvjzTDZJEwNSnStl/geOA4DosmKxHJ07JT7J5TC8sU1XWiyxpx09Kluasf172Rjx6TiOOnJ2HHbScjPjIE3f0WFFqrl7oLNUI4JSnKFl319DpCb84XX4e0YUO6sAlmXcrKyhAfH49rrrkG06ZNw/z58/Hoo4/CYtGuOm00GtHV1WX3B8B2d1mSJGZbFEXNNsdxmDdvHgDYfpSIomhrWyyWYW1Zloe11dcPbouiOKwtSZJD7fHYNLg9HpsEQUBOTo7t2ECwyRXjBADz5s0Dx3EBY5MrxgkA5s6dC0EQfMKmzp5+XPf6PvSaRKyakYQ7Tp/ttXGSZRnz5s0Dz/OwWCxIsO5F2NLV7/Fx8qW5x3EcsrOzIQiC0zY5AjmETiJJEpqbm70S5p+cGInEqFCYRMm2abyKuhn9+nmTwHGcS97vsfPn4clLFuK8RWl2j6fFR2BqUiQkGcitUorYaOmSf7QTJouEGcnReO03y5EYFYpVM5SU029KW13STy3UNYTTJgxyCI961iH05nzxdUgbNqQLm2DWRRRFPProo/jlL3+JyspKvP/++3jnnXdwzz33aL5m06ZNiIuLs/1lZmYCAKqrqwEAtbW1qK2tBaAUrGloUNZ1V1RUoKmpCQBQWlqK1lble7qkpARtbW1obm5GUVER9Hol26KwsBAGgwEAUFBQgL4+ZXufvLw8mEwmiKKIvLw8iKIIk8mEvLw8AEBfXx8KCgoAAAaDAYWFhQAAvV6P4uJiAEBHRwdKSkoAAK2trSgtLQUANDU1oaKiAgDQ0NCAqqqqMdvU0aFcE4qLi8dlkyRJqKurQ35+fsDY5IpxKi8vR3NzM+rq6gLGJleM06FDh1BZWQlJkrxuU+OxY7jh1T2obO1BcnQIbl+ZAIHnvDpOzc3N6OnpQUFBAZKsmWWFh8s9Pk6+NPcaGxtx4MABSJLktE2OwMm+FK92I11dXYiLi4Ner0dsbOzoL9BAFEWUlpZi1qxZXrlT/atXfsKuIy145Jy5uGrVNABAv1nEcX/6Aj0mER/ccAKWWCN77uTe/x7AO7m1+O1J0/H7M7M1dXlyxxE8u7MclyzNwF8uWggAeC+3Fnf/9wAWT47Hhzesckv/RElG9oOfwyRK+P6etejsNePs575HTJgOhQ+fDp53jdM8aj+8PF98GdKGDenCZqy6uOq735vMnj0bN9xwA2655RbbY++++y5uuukmtLS0MF9jNBphNBpt/+/q6kJmZiY6OjoQHx9vc6x5nrdrq5FAVluSJJSXlyMrKwshISHgOA6iKILneXAcZ4uUDW4DytgNbut0OtsdcbUtSRIEQbBrS5IEWZZHbbPscNSmwW3VjrHYxHEcjhw5ghkzZiA0NDQgbHLFOFksFlRUVGDGjBkQBCEgbHLFOJlMJpSXl2P27Nm2Y71l01t7a3Dfh8UIFXi8+9sVWJgR79VxMpvNqKiowMyZMwEAt28pwtbCBtx3xmxce/KMoP08mc1mlJaWYs6cObbAjyM2GQwGh66BOs1nCCaCICA7O9tr778oMwG7jrTYrSPcXdGKHpOIlNgwLMqI90g/lk1NxDu5tfipWokQaulysEFJU5o7qGrp6llKhLCwthP6XjPiIkNc3r+Gzj6YRAmhOh5pcRGYFBuOyFAB3UYLypoNmD1p/Gm1juDt+eLLkDZsSBc2wazL6tWr7Zw7lbCwMM3XhIWFMZ/ned7u36Htwc720DZrDAYfo9PpHG5zHGfXVs8zuK3VR2fbI9k0WtsZm+bOnWt7LFBsGu84hYaGDpsz/m6TM22t/oaGhtrNF2/a9K01W+uGtVlYPDlxzDa5apyGzhm10mhnn8VhmwLx8xQSEoKcnBwMxRGbHIFSRp1EkiQ0NjZ6LW1pEaOwjC1dNGeSxyJfy6YqXxpFdXr0mURNXdR9DHPS42yPpcZFYGZyNCRZKS7jDtR00cmJkeB5DjqBt63B9OQ6Qm/PF1+GtGFDurAJZl3uvfdePPPMM/jmm28AADU1NfjjH/+IX//61x7tRzCPwWiQNmxIFza+pEt5i5L66InsMkcYqk0iFZUB4P45Qw6hk8iyjO7ubq9VhlK3UKhu60VHjwkWUcKXJc0Axr8ZvTNkJkYgJTYMFklGQW0HU5f2HhMa9coi4DlDInKrZyob3X9byk53Gi9qhdGpg/bR8UZhGW/PF1+GtGFDurAJZl1mzJiBt956C3fffTeSk5Nxyimn4Oc//zkeeughj/YjmMdgNEgbNqQLG1/RxWSRbAX4ZqZEe7UvKkO1SVA3pw/ybSfcPWe85hAePHgQZ555JjIyMjB58mRcddVVaG9v1zz+gw8+QHh4ODIyMuz+cnNzPdhrJQTrzbU98ZGhmGbddH5/XSdyqzvQ3mNCfGQIlrkK5BwAAKBaSURBVE9LHOXVroPjOFuUMLeqg6nLIWu66NSkSMSE26eFnmRNG/2urNUtk1v9gpuaNLCPzhKrQ5jvwcIy3p4vvgxpw4Z0YRPsupx88snYu3cvmpubUVFRgQcffNAuJckTBPsYjARpw4Z0YeMrutS09cAiyYgO02FSbLhX+6IyVBvadkLB3XPGKw5hW1sbTjnlFJxxxhmora3FkSNH0N/fj8suu0zzNXV1dTjvvPNQV1dn97ds2TIP9hy2SmLeDPOrqY/7j3baNqNfl52CEMGzw6k6oLnV7UxdDjYo1Zjmpg1fxLpiWhJCdTzqO/tQaXXeXEmNNWV06oSBCOGSTMUhrGrtQW17r8vfk4UvzBdfhbRhQ7qwIV28D42BNqQNG9KFja/oUtaspIvOSI52WYX68TJUG3Xbibae4HYI3T1nvOIQ5ufnY+3atbj55pvBcRwiIiJw//33Y8eOHbaSrkOpr6+3lc32NqzF/Z5EdQgLagccQk+mi6qoEcL8ox2wiNIwXdSCMjlpccNeGxEqYLn19e5IG62yRQgHHMK4yBCsnqlEJl/5odrl76mFt+eLL0PasCFd2JAu3ofGQBvShg3pwsYXdClrGnAIfYnB2qjbTnQEuUMIuHfOeMUhPO200/DOO+/YPVZUVKRZFQ1QIoSTJ0/2RPdGhOd5ZGVl2VXy8TSqQ/hDeSsa9f2IDBVsjo4nmZ0Sg9hwHXpNIg43GYbpohaUYUUIAdj6/F2ZawvLiJKM2nZlT5ipEyLtnrt69XQAwLu5R6HvM7v0fVn4wnzxVUgbNqQLG9LF+9AYaEPasCFd2PiKLmXNyp7WM33IIRyqjRoh7OwzQ5SCdy2qu+eMT3xCt2/fjuuvvx6///3vER7OzmGur69HVVUVTj/9dEybNg2rVq3C1q1bNc9pNBrR1dVl9wfAFmqVJInZVvda0mpLkoSqqiqIomh7XF0DZ7FYhrVlWR7WBjCsrZ5vcFuSJGZ7dko0QnW87YOxZtZEhIcIY7ZpqB2O2sRxwFLrury9lW2orq6GyaTcwek1WlBprVw1d1IM044TZyQBULbN6Ow12h0jSRKOHOvGoQa90zbVd/QoW04InC0nXrXppJkTMCslGj0mEe/8dNSt4yRJEsxmM2pqamCxWMY998Y6Tq62aeg4jdUmi8WCmpoamM3mgLHJFeNkMplQU1Nj0ygQbHLFOFksFlRVVdn67YxNhGuQJAk1NTWkKwPShg3pwsZXdCm3poz6SkEZYLg2CdatyWQZ6AzidYTunjMudwhbWlqGFX4Z/Pfkk0/ajhVFEffddx8uvPBC/OlPf8LDDz+seV6dTof29na89tprqKiowCOPPIKNGzfi888/Zx6/adMmxMXF2f7UdNPq6moAQG1tLWprawEAVVVVaGhoAABUVFSgqakJAFBaWorWViV6VVJSgo4OpRhJfX29LbW1sLAQBoPygSooKEBfnxKZysvLg8lkgiiKyMvLgyiKMJlMyMvLAwD09fWhoKAAAGAwGFBYWAgA0Ov1KC4uBgB0dHSgpKQEANDa2orS0lLl8bYWZCWE2mxdPJEft03FxcVjsmlxppIOmlvdAbPZjP379yuvq2qCJAMTosMQJhuZNk3QGZEZF4J+s4Q3vzuCiooKAEBDQwN2Fx7BOc9/jzOf/R5X/2c36jp6HbapqFp5PDlKgKG7y84mjuOwLkPJk3/lh2rs+SnXbePU1NSEyspKm01VVVVeGydX2jR4nFxh08GDBwPOpvGMU35+fsDZ5KpxUjdhd9YmgiAIwh6LKNlqOMxM9szezGNBJ/CIi1CcwnZKG3UbnOylmrf9/f248MIL0draitdffx2zZ892+hzXX389Ojo6hqWfAkqEcHCubVdXFzIzM9HR0YH4+Hibh83zvF1bFEVwHDdqm+d5cBxn17ZYLBAEwa4NKI7v4LZOp7PdEVfbkiRBEAS7tiRJkGWZ2f7j/w5h8+4ahAoccu8/FXGRYV6xaV9NBy76549IigpF7v2nQpIk6HQ6vLGnGg98dBAnzZqIV3+1TNOm/3xfhUc/O4yctFhsvfGEAfs+OYTNP9bYxi9Ux+PqE6fhd6fMQHiobkQ73tx7FA9tPYR1c5Lx0pVLh9nU02/Cmie+RUu3EX+7aD5+dlym28ZpcJs1Nv4498gmssmfbDIYDIiLi4Ner0dsLDt9PRjo6uoiHQiCsFHV2oO1f/sa4SE8Dv1hg8f2sR4Lp/zta1S29uDda1dixfQkb3fHr3D0u99rKaOXX345oqKi8P333zvkDLJCpOoFn0VYWBhiY2Pt/gDYcm95nme2BUEYsS1JEqqrq20pUuoPIUCJYg5tcxw3rA1gWFv94TS4zfO8ZnvN7GQAwLq5KYiLDBuXTUPtcMamBRnxCNPxaOsx4ZuCw7bzHWxQ8tJz0mJHtOlnx2UiVOBxsKELhxqViEN3v4j39tUBAB46ey5WTk+EySLhha8r8M9vK0e1o8a2fjCKaVNUeCiuOmEqAOA/P9TYjYerx4njOFukZrxzbzzj5EqbBrfHYxOgRHHU/gWCTa4YJ57nUVFRAVmWA8YmV4wToGR4SJLktE2Ea5AkCRUVFV5Pc/NFSBs2pAsbX9ClrEn5nTYjOdqnnEGWNupehMEcIXT3nPHK1fK9995DcXEx3njjDYSGho56vNlsxtKlS/Hkk0/CbFYKgWzfvh1vvvkmrr76and3dxhahW88yZrZyfjoxlX4888WeLUfoTreVuSmpHWgSIutoEzqyHeiE6JCsWGeUiH17dyjAIA3f6pBr0nEnEkx+NWqqXj7mpV48Oy5AIAteXWQRllUzNpyYigbV0xGRIiAQ41d+LGibcTzjRdfmC++CmnDhnRhQ7p4HxoDbUgbNqQLG2/rYttyYqLvrB9UGapNouoQBvEaQsC9c8YrDuG2bdtQV1eHrKysYWsMt2zZAgC4+OKLcfHFFwMAQkJC8NZbb+H777/H1KlTMXHiRNx1113YvHkzTj31VI/2ned5ZGRk+MSd50WZ8cM2fPcG6n6E5Z0yeJ6HRZRwuFHdcmL01KSfL1dSNrfub0BnrwmbrVtCXLN6ui3CsHHFZMSE61Df2Ye9Ve0jno+15cRQ4iNDccnSDADAa4NSU12NL80XX4O0YUO6sCFdvA+NgTakDRvShY0v6DJQUMa31g+ytEm0VhptNwSvQ+juOeOVmfjKK6+gu7t72CbzdXV1Nidwy5YtNucQAObMmYMPPvgA9fX1aGlpwYEDB2zHehJRFFFaWmqrfEcM7Ef4aVEDtuQdRVVrD4wWCZGhwohOmcrx05MwNSkSBqMFN7yZj+ZuI1Jiw3DOwjTbMeEhAs5ekAoA+CC/TvNc/WbRtuXElKRIzeMA4NJlyjYmO480o6vfPVtQ0HzRhrRhQ7qwIV28D42BNqQNG9KFjS/oUj5oU3pfgqVNYjRFCN09Z+iWjZNwHIeYmBjNtYvByAlZSThxRhKMFhl3vV+Em95Sqghmp8Y6lJfOcRx+vlxxznZb0zevOmEaQnX20/PCJUpE77OiRvSZ2B+IHYeaYBIlpMdHID0+YsT3zU6NwczkaJgsErYXHxu1n2OB5os2pA0b0oUN6eJ9aAy0IW3YkC5svK2LJMkDEUIfcwhZ2qgRwmDenN7dc4YcQifheR6pqamU/jAIncDj1V+vwO2nzQLPAUesC5VHWz84mJ8tyYDO6jxGhQr4xYrJw45ZOiUBmYkR6DGJ2HGI7cBtyau1ni99VGeU4zict0iJQm4tbHC4r85A80Ub0oYN6cKGdPE+NAbakDZsSBc23talvrMPfWYRoQKPyYkjZ1N5GpY2alGZtiB2CN09Z+gT6iSiKKKkpITSH4YiSzgtzYK3r1lhi8ypawsdYWJMGNbnKMVlLl022bbnzGA4jsOFi5Uo4X/z64c939DZh+/Llf3TLrJuJTEa5y5MBwD8UN6K5u5+h/vrKDRftCFt2JAubEgX70NjoA1pw4Z0YeNtXdTo4PSJUdAJvuUKsLRJsjqEHUGeMurOOeNbs8AP4DgOSUlJlP4wBFWXZVMT8fmtq/Heb4/HWfNTnTrHn86fhz+dPw93b9DehuTCJYoD931ZC5q67B24D/LrIMvAimmJmDzK+kGVyUmRWDw5HpIMfHag0an+OgLNF21IGzakCxvSxfvQGGhD2rAhXdh4W5eyZiWTK8vH0kUBtja2bSeCuKiMu+cMOYROwvM8kpOTKf1hCIN1iQkPwfJpiU7va5MYFYrLV05BeIigecyUpCgsnZIASQY+3j8QJZRlGe9b9y68eKlj0UGVc63Faz52Q9oozRdtSBs2pAsb0sX70BhoQ9qwIV3YeFuXsibfXD8IsLVJ8uNtJz4qqMeav+5Ccb1+XOdx95yhT6iTiKKI4uJiSn8Ygid1UYvLvJtbix6jBQCQW92B6rZeRIUKOHP+JKfOd9aCVPAcUHC0E0fbel3aV5ov2pA2bEgXNqSL96Ex0Ia0YUO6sPG2LuUtqkPoW1tOAGxt1Ahhv1lCr8nira45jSzLePKLUlS39eKFr8vHdS53zxlyCJ2E4zikpqZS+sMQPKnLWQtSER2mQ0VLD372j92obe+1FZM5a0EqIkN1Tp0vOSYcq2ZMAABsLRy+NnE80HzRhrRhQ7qwIV28D42BNqQNG9KFjTd1kWUZ5WqEMMX3IoQsbaJCBVvl+XYHCss06vuwt7LNbX10lH01HTjargQavjjU5FDftXD3nCGH0El4nkdSUhKlPwzBk7rERYTg1V8vw4ToMBw+1o1zn/8enxYp6/+cTRdVUdNGP9rfAFmWXdZXmi/akDZsSBc2pIv3oTHQhrRhQ7qw8aYuLQYjuo0W8Bwc2iva07C04ThuYHN6B5yqO94rxKX/2oPdFa1u66cjfFAwEGQwizI+LBh70MHdc4Y+oU4iiiIKCwsp/WEIntbluCmJ2HrTKsxPj0NHrxm9JhHTJijrC8fC+nmTECJwKG82oK6jz2X9pPmiDWnDhnRhQ7p4HxoDbUgbNqQLG2/q0txlBABMiA4btt+zL6ClTWKU4w5hqTUC+tE4HLDxYrSI+NRarPCMecpSpi15tWMOOrh7zvjeTPBxeJ7HlClT6G7XELyhS1p8BLZcd7xtL8Erj58y5lB6bHgIMq178dR2uG4dIc0XbUgbNqQLG9LF+9AYaEPasCFd2HhTl5ZuxSGcGBPm8fd2BC1tHHUIRUlGe49i4/aDTTBZJPd0dBR2HW6Gvs+MSbHh+L8L5iNMx+PwsW4UjbG4jLvnDH1CnYTjOMTHx1M+/BC8pUt4iIBnfr4YeQ+sw5UnTB3XudT9Exs6XbcfIc0XbUgbNqQLG9LF+9AYaEPasCFd2HhTF3XP5WQfdQi1tHHUIWzrMUKyBuH0fWb84KW00Q+s+2WftzgNCVGh2GCNEr5nrXnhLO6eM+QQOokoisjPz6f0hyF4W5cJ0WHj/pCkxakOoWtTRmm+sCFt2JAubEgX70NjoA1pw4Z0YeNNXXw9QqilTaKDm9Or9ql86oY9pkejo8eEXUeaAQAXLlYq419irXHx8f4G9JudH3d3zxlyCJ2E53nMnDmT0h+GEAi6pFkjhI161zmEgaCLuyBt2JAubEgX70NjoA1pw4Z0YeNNXZqtDlNyTLjH39sRtLRxNEKoOoTq+sjtB495PG30f0WNMIsy5qbGYvYkZWuP46cnISMhAt39FnxefMzpc7p7ztAn1Ek4jkNMTAylPwwhEHRJjVe+HOtdnDLq77q4C9KGDenChnTxPjQG2pA2bEgXNt7UxdcjhFraqHsRtnQ75hCumJaI5JgwdPdb8F1Zi3s6q8EH+XUAgAuXpNse43kOFx+nRAlf31MDi+ick+ruOUMOoZNYLBbk5ubCYvGfjTE9QSDoMrCG0HURwkDQxV2QNmxIFzaki/ehMdCGtGFDurDxpi4DEULfdAi1tJmdokTacqvbYR7BmWoxKPalxIbjzPmpADybNlrf2YeCo53guYEtzVQuWpqBUIHHvpoOXPv6PvSZHE//dPecIYfQSQRBQE5ODgRB8HZXfIpA0CVtkEPoqr0IA0EXd0HasCFd2JAu3ofGQBvShg3pwsabuvh6hFBLm+OmJCAxKhT6PjNyq9o1Xz/YvrMXKA7hF4eaxrRubywUHO0AAMxLj0NyrH1abnp8BF7YuARhOh47DzfjFy/vQYeDm9W7e86QQ+gkHMchMjKS0h+GEAi6pMYpH9xekwh9n9kl5wwEXdwFacOGdGFDugxQV1eHxMREXHXVVR59XxoDbUgbNqQLG2/pIsuyrcqorzqEWtoIPId12ckAgB2HmjRfb3MIo8OwZHICJsWGo9towXdlnqk2qm4rMS89jvn8urkpeOuaFYiLCEHB0U787J+7hxXCYeHuOUMOoZNYLBbs2bOH0h+GEAi6hIcImBCt5KjXuyhtNBB0cRekDRvShQ3poiDLMq688kpkZGR4/L1pDLQhbdiQLmy8pYvBaEG/WUm39FWHcCRtTp+rbN2w4+AxzUyuwRFCnucGpY02uKnH9hRbHcL5Gg4hABw3JRHvX3c80uLCUdnSgzf21Ix6XnfPGXIInUQQBCxevJjSH4YQKLqkuXgvwkDRxR2QNmxIFzaki8ITTzyBkJAQXHjhhR5/bxoDbUgbNqQLG2/pojpL0WE6RIbqPPrejjKSNifOnIDIUAEN+n4cbOhivn5oSuzaORMBYMwbwjuDLMsorlf6NZJDCAAzU2Jw3ZosAMCBus5Rz+3uOUMO4RigLzY2gaCLuhehK7eeCARd3AVpw4Z0YRPsuhQWFuLxxx/HCy+84LU+BPsYjARpw4Z0YeMNXXy9oIyKljbhIQJOnqU4eNsPsrduGOoQTk6MBKBkfrmqPoQWte190PeZESrwmGUtgjMSalppUX2XQ31z55zxmkO4YMECJCcnIyMjw/Z32WWXaR4vyzL++te/Yvbs2UhPT8fatWtRUlLiwR4riKKIvLw82mR1CIGiy8DWE65xCANFF3dA2rAhXdgEuy79/f3YuHEjHn/8cUyfPn3U441GI7q6uuz+AECSJNu/rLYoippts9mMvLw8mEwm248XURRtbYvFMqwty/KwNoBhbXVcB7clSXKoPR6bBrfHY5MoisjNzYXJZAoYm1wxTiaTCXl5eTCbzQFjkyvGyWQyITc3F6IoetSmJuvN7gnRoT4799Q5Y7FYmDadNjcFALDjYNOwvhv6TOg2Kq9JilQioCkxYeA4oN8soaW736027a9Vit3MnhQNHtKo4zQ7OQoCz6HVYER9Ry9zPNS22Wy2zRlnx8kRvOYQ1tXV4ZtvvkFdXZ3t7+2339Y8/rHHHsOrr76KXbt2oa6uDueffz5OO+006PXuDwEPRhAELF26lO54DSFQdEl3Q8poIOjiDkgbNqQLm2DX5e6770ZWVhauvvpqh47ftGkT4uLibH+Zmcr+V9XV1QCA2tpa1NbWAgCqqqrQ0KCsr6moqEBTk1KwobS0FK2tSiGGkpISdHV1YenSpTh8+LDt2ltYWAiDwQAAKCgoQF+f8oNTdRwHO/LqDz0A6OvrQ0FBAQDAYDCgsLAQAKDX61FcXAwA6OjosN34bW1tRWlpKQCgqakJFRUVAICGhgZUVVWN2aaODqUiYHFx8bhsEgQB8+bNw4EDBwLGJleMU01NDZYuXYqmpqaAsckV41RWVoasrCwIguBRm4rLjwIA4sI4n517BQUFWLp0qa091KalaeHgOeBIUzcOVDbajVNu0WEAQKjAoalOWZfX2nzM5hzmH652q01f7jsCAMhJjXVonI4cKsbM5GgAwKc/FtnGiTX3WltbkZCQAEEQnB4nR+Bkd8dPGfT19SEyMhLd3d2Ijo526PiUlBRs3rzZbt3EggULcM011+Dmm28e9RxdXV2Ii4uDXq9HbGzsmPuu3r0IDQ2lqlmDCBRdPitqxA1v5uO4KQn47/UnjPt8gaKLOyBt2JAubMaqi6u++73Jjh07cPnll6OoqAjJyUqVvUceeQTV1dXYvHkz8zVGoxFG40Dluq6uLmRmZqKjowPx8fG2O8c8z9u1RVEEx3HMNqDcDRcEAYIggOM4iKIInufBcZztucFtQLlTPbit0+lsd/zVtiRJEATBri1Jyh320dosOxy1aXBbtWMsNgmCAKPRCEEQEBISEhA2uWKc1AiHTqez9cvfbXLFOFksFpjNZoSHh0OSJI/Z9OfPD+PFb6tw1QlT8OBZ2T459ywWCyRJQkhICCRJYtq08eW92F3RhvvOmIPfnDjV1vd9Ne24+MW9yEyIwNd3nmx7/OJ//oh9Rzvx/GWLcOb8VLfZtPGlPfihog2PXTAPlx6X7tA4/f7DYryXV4cb12Thrg1zNOeb6lyGh4fbIpKOjJPBYHDoGuiVCGFdXR0SEhIccgYB5S6CwWDAmWeeaff4Oeecg23btrmji5qIooiCggLbxZFQCBRd0ly8OX2g6OIOSBs2pAubYNbls88+Q3NzM1JSUsBxHDiOwx/+8Ae8+uqr4DgOX3755bDXhIWFITY21u4PUH4oqP+y2oIgaLZlWbbd3VadcvWHEADbj/7BbY7jhrXV1w9uqz+cBrd5nneoPR6bBrfHY5Moiti/f7/t2ECwyRXjBCgRFFmWA8YmV4wToESZVEfIUza1GJSU5pTYCJ+dexzHoaCgwOYMsmxan6NUG/2ipMmu7209SjrmxJgwu8czbOsI+91mkyzLKLYWulmQHu/wOKnFZ9TXas03WZZtc8bZcXIErziE9fX1SEhIwP3334/58+dj5syZuP7669HW1qZ5fGJiIsLD7Td4TEtLQ319PfM17lg/oU7OZcuW2Xn9/prD7sq8fJ1OhxUrVtj091eb0qx7ETZ19cMsSuMeJ47jsHLlSrs7N94cJ7XvvjD3eJ7HypUrbV+kgWCTK8YJAFauXAlBEALGJleME8/zWLZsGXQ6ndM2+TtPP/20TUv17+GHH8aVV14JWZaxbt06j/RDp9Nh5cqVth80xACkDRvShY23dPH1TekBx7RR1xHm1XSg1TCQCdFiYNuXkaDc7HdVfQhJkvHGnhrsrRzwW+o6lIIyIQKHWZMcC3gBwPyMeADKdhUjJW26e8643CFsaWmxKxQz9O/JJ59Eb28vOI7DqlWrkJ+fj71796K9vR3nnnsu8wIeEhLC9HIH/5AcijvWT3R0dECWZezfvx+dnZ0A/DuH3ZV5+bIso7293e9tig8XECJwkGTFKXTFOPX29qK+vt4nxgnwnbnX3t6O3t7egLLJVePU29uL3t7egLJpvON07NgxHD58GLIsu2X9BDE6siyjt7d3xB8twQppw4Z0YeMtXfzBIXREm7T4CMyZFANZBvJrOmyPa9mXHq9ECOs6xu8QyrKMP3xyEA98VIzfvJqHjh4l6qpuazF7UgzCdI6vdZ8zKQY6nkNbjwkNeu36Fe6eM15ZQ8iiqakJkyZNQklJCebMmWP33N69e3HCCSegr68PoaGhtscfeOAB7Nu3j5k26o71ExzHQZIk5OfnY/HixQgJCfHrHHZX5Xurd/Dz8/OxcOFChIWF+bVNJ//1axxt78WW647H0ikJ4xons9mMAwcOYOHChdDpdF4fJ1+ae6IoorCwEAsWLLCtC/N3m1wxTiaTCQcOHMCiRYts6SX+bpMrxslkMmH//v1YsmSJXXrMaDY5un4i0HHFWkqLxYKCggIsXryYIj5DIG3YkC5svKXLcX/6Am09Jmy7ZTWyU33z+9BRbW5/dz8+KKjHHafNws2nzgQA/P6DIrz901Hctm4Wblk303bst6UtuOI/P2F2Sgy233bSuPr3/M4y/G1Hqe3/N6zJwt0b5uDPnx/GP76uwGXLM7HpwgVOnfPMZ77DocYu/POXx2HDvEnMY8Y6Zxz97vdaldGhkUDVqVBzcgezZMkSJCUl4fPPP7d7fPv27diwYQPz/O5YP8HzPHQ6HZYvX46QkBDb4/6aw+7KvHxVl7CwML+3Kc269URDZ9+4xyksLAzLli1DaGioT4yT2ndfmHuhoaFYtmwZwsLCAsYmrXEyiRLKm7uZNomSjI4+0WaTOmdCQkJ82iZPj1NoaCiWL19uu7HijE2Ea1CXTNAP++GQNmxIFzbe0MUsSmizRrN8OULoqDazJyn7/B1u6rY9phkhtKaM1nWML8L29k9Hbc7gWfNTAQCbd1ejzWBEsTVCOG+UDelZLMhQ9yPs1DzG3XPGK1fL9957D0uXLrWlAnV2duKmm27CSSedhFmzZg07PiQkBLfddhseeOABHDumbET53HPPoa6uDldccYVH+y7LMrq7uyn9YQiBpItaWMYVueaBpIurCRZtjun7cd7zP2Ddk9/i29KWYc8/9WUplj32JX4oV9I0XaFLVWsP7txSiPs/LMKTX5TitR+rcci6YN1fCZb54svQGGhD2rAhXdh4Q5c2a0EZgeeQGBk6ytHew1Ft5lgjnIcbB65tWmsI1S3FekwiOnvNY+rX58WNuP9DZWuIm9bOwPO/WIz56XHoNYl48dtKW8ro/DE4hKoTeaBuYCu99h4TnvyiFP3mgbX27pwzXnEIL7roIlx++eW44IILkJ6ejlmzZiE6OhoffPCB7U7zxRdfjIsvvtj2mnvuuQeXXHIJVq5cibS0NHzwwQf48ssvkZCQ4NG+S5KEsrKygClW4CoCSZd0F1YaDSRdXE0waHPkWDcueOEHHD6m3MFUnb7B7DiorHP74pDyryt0eW5nGd7fV4c39x7Fs1+V4aGPD+Kif+5GV//YLoS+QDDMF1+HxkAb0oYN6cLGG7o0dyvr0yZEh4LnfXdLI0e1mWONEFa39dqcplaNCGF4iIAJ0cpjg2/2y7JSHGZ/beeI7/V58THc9FYBJBn4+bJM3HH6LHAch9tPU4JYr/xQhc5epaCMGrl0BjVCOLiwzIMfFePZr8pw+3v7Abh/znglhs/zPG677Tbcdtttmsds2bJl2GseeOABPPDAA+7u3ogIgoAlS5Z4tQ++SCDpkubCzekDSRdXE+ja/FjRhmtfz0N3vwXhITz6zZLd3T8A6DFaUN6iFGcprOsE4Bpd9la2AwAuPi4DYSE8Pi9uQqvBiF2Hm3HeovRxndtbBPp88QdoDLQhbdiQLmy8oYuaTpkcEz7Kkd7FUW2SY8IQHxmCzl4zypsNyEmLHbFoTkZCBFoNRtR19Noict+VteKBj4oRInB45ueLcaY1DXQw24oacfPbBbBIMs5blIZHz59nC16tmT0RizLjbQ7lrBTnCsqozJ4UgxCBQ0evGXUdfdhf24lPixqh4zlcf/IMp3QZK7TAwklkWUZnZyelPwwhkHRx5V6EgaSLqwlkbSpbDLjylZ/Q3W/BsqkJeOWq5QCUu3+SNGDvocYuqOYfauiybXUyHl3qO/tQ39kHgefw8Lk5ePT8+bh4aQaAgWikPxLI88VfoDHQhrRhQ7qwGUmXwVsQuZJmP6gwCjg+ZziOw+wU6zrCY93Q95lhEpXo2YTo4SmxA+sIB37b5VUrN0/Noowb38rHW3uP2vVja2EDbrI6gxcsTseTlyyCThhwnQZHCYGxpYsCQJhOsEUWdx5uxoMfK1W3b1w7A/Ot0UN3f5bIIXQSSZJQU1ND6Q9DCCRd0q1FZVyxhjCQdHE1gazNv7+vgskiYcW0RLz+mxVYNjUBYToe3UYLqtt6bMcNjhgaLRJKm7rHrUtulXKBm5cWi+gwJQlkg3UT36+PNNtSa/yNQJ4v/gKNgTakDRvShQ1Ll5q2HjzzZRlOffIb5Dy83eXrvgcihL7tEDozZ9RKqUeOddnsi4sIYUbpMhgOYYE1sjd9YhRkGbjvwyI89HExbnt3P1Zu+gq/e7sAoiTjwsXp+NvFCyEwUm1Xz5yAZVOV5WtLpyY6Z+wg5qfHAwAe/fQQOnvNyEmLxU2nzLA97+7PEpV9chJBELBw4UJvd8PnCCRdUuOUL43ufgu6+82ICQ8Z87kCSRdXE6jadPaa8N/8OgDAretmITxEuTDNTYtFwdFOFNXrMX2ismltkTVNVOVAnR45aXHj0mWv1SFcPm3gwrQgIw6pceFo1Pfjh/JWnJqdMubze4tAnS/+BI2BNqQNG9KFzWBduvrNuPHNfHxXZr/G/OP99Zib5rqtIdQ1hL4eIXRmztgqjR7rHnWPxYwhBQMlScb+o50AgGd/vhifFx/D87vK8dqPNbbXhAo8frFiMh48ey7TGQSUKOGLly/Fd2UtOHtBmkP9ZjE/PQ5vQ4lWhgo8nrxkEUIGRSPd/VmiCKGTSJKEtrY2uts1hEDSJSpMh7gIxQlsHGGTUEcIJF1cTaBq89ZPR9FvljA3NRYrpw9yyqypJEWDooIHrFXJ1LucB+r0mrqIkoxN20rwyg9VI77/T1VtAIDl05Jsj3Ech9PnKk7g58XHxmqaVwnU+eJP0BhoQ9qwIV3YDNblH19X4LuyVvCcEm36+bJMAMAPFcOLkI3E/tpO3PpOgc3xG4o/bEoPODdnVIfwyLHugQqj0RoOYYL95vQVLQZ0Gy2ICBEwZ1IM7lw/G4+ePw+rZiThprUz8NbVK3DgkdPxyLk5ms6gSmJUKM5blD7qcSOhFpYBgNtOmzWsOI27P0vkEDqJLMtobGykfPghBJourtp6ItB0cSWBqI1ZlPDabuXu4q9PnGa3r+r8jHgAA05gd78ZlS1K+ujGFZOV5+o6NXX54tAxvPhNJf74v0No6mJf8FsNRlRYz6mmsKist6aNflnSBIvofz/OAnG++Bs0BtqQNmxIFzaqLo2dffjP98pNvhcvX4rXf7PCtibtYEMXOntNDp/z77vK8dH+Brz8HfumYbOfpIw6M2dmWdcQNncbccRazTs5VsshtP6u6+gFABRYo4MLMuJs6wJ/uXIK3rx6Je5cPxsnzJhgy/DxBHMmxWBddjLOWZiGa0+aPux5d3+WyCF0EkEQMG/ePNtmyYRCoOmSPmhz+vEQaLq4kkDUZlvxMRzr6seE6DCcs9C+Wpm62PxgvR6iJKO4Xlkfkh4fgbVzkgEodznNEobpIssy/vlNpbWtVD1joa4fnJ0Sg/gh+0wtn5aI+MgQdPSakVvd4QJrPUsgzhd/g8ZAG9KGDenCRtXluV0VMFokLJ+aiHXZynUgOTYcM5KjIcvAnso2h89Zaa1YvfNwM/N5f4kQOjNnosN0mJyoRP6+t27rpBUhVIvKdPVboO8zo6BWuQ4unuzZ7eu00Ak8Xr5yGZ67bDEz0ujuzxI5hE4iSRKam5sp/WEIgaaLqyqNBpouriQQtVHv9F6+csqwRe1ZE6MQESKgxySiqtWA4kGb2KbFhSMpKhQWScahBv0wXXKrO+z2SfpUwyH8qXr4+kEVncBjnXXt4PaD/pc2Gojzxd+gMdCGtGFDurCRJAl7SmrwXl4tAOCeM+bYZZSsylJS/ndXOOYQWkQJR9uVyFd5swFH23rtnpdl2W+2nXB2zqiplerG8FoOb2SoDolRyo3S+o4+W4Rw8eT48XXYQ7j7s0QOoZPIsoy2tjZKfxhCoOmiOoTVrb2jHDkygaaLKwk0bfKPKk5bqMBj48rJw57XCTxyrAUCiur1ttTR+Rlx4DjOtn6gsLZzmC4vflMBALY7yLnVHTjGWN/6E6OgzGDUtNEdB4/5ne6BNl/8ERoDbUgbNqQLG1mW8czOSkgysD4nBcdNsY9SHZ81AQDwQ7lj6wjrOvpgFgc03nnYfouhrn4LjBbFkfD1CKGzc0bdoF49fCT70q2/7UqbunGkSUkxXZwZP/bOehB3f5bIIXQSQRCQnZ1N6Q9DCDRdllhTCL4vbx3XeqtA08WVBJo2anTwvEVpmKCRsqLuJ3SgTm+rMKo6ggusawyLGrrsdClr6sZXh5vBccD9Z821rQ38bEiUsKvfjEONShqqlkO4euYERIYKaND32+6m+guBNl/8ERoDbUgbNqQLm4JaPX6s7QXPAXetnzPs+eOnJ4HjgIqWHs0144Opau2x+//OIy12/1ejgzHhOo+uixsLzs6ZocVXRnII1XWEnxY1QpYVBzE51rcjpiru/iyRQ+gkkiShsbGR0h+GEGi6LJkcj4TIEOj7zMirGft6q0DTxZUEkjbNXf226p2/WjVN8zh1HeEP5a2otqb0qI+pjmFRnd5Ol399q6wdXD93EqZNiMJZ85W1if870GB37n3VHZBlYGpSJFI0LnDhIQLWzJ4IQHudia8SSPPFX6Ex0Ia0YeNLumzaVoLfbM6F2QeKaqnf65cszcSM5Ohhz8dFhmBemnJN2D2o2ugLX5dj8R93DNujsMK6fnBWinKuPZVt6DVZbM/7y5YTgPNzZs4k+605HIkQfmN1mP0lXRRw/2eJHEInkWUZ3d3dlP4whEDTRSfwtkIfXx5qGuVobQJNF1cSSNq89dNRWCQZS6ckjLhvlOr0lTYpF+/JiZG24i9qhLC8xYCmdj1kWcYxfT8+2l8PALj2ZKXq2BnzU8FxQP7RTrsquKz9B1nkWH9k1LaPb32spwmk+eKv0BhoQ9qw8RVduvrN+Ne3lfjqcLPLN3wfC7XW9X7rc5I1jzlhhnUdYbmyjrCoTo+/bT+Cjl7zsAwRNUJ42twUZCZGwGSR8EP5wPpDf9mUHnB+zkxNikSobsCd0SoqAwxECE3WmwK+UlDGEdz9WSKH0EkEQcCsWbMo/WEIgajLadYCHF+UNI35AxiIuriKQNHGLEp4+6ejAIDLj58y4rHTJkQjKnTAXjU6CCh3NdPiwiHLQH/ERJgl4KGPi2EWZSyfmmhLY06JDceyqYrTN7jaKGv/QRbqDwKtvap8lUCZL/4MjYE2pA0bX9FFzaAA4FAKprvp6DUDACZER2gec4J1HeHuijaYRQn3/PcAJKsNQ1P+VYdw+oRonDJbcTIHZ4EMVBj1/fRIZ+eMTuAx0xplFXgOCUMqbA8m3boXoYo/RQjd/Vkih9BJJElCXV2dT6Q/+BKBqMtJsyYiVOBR09aL8mbDmM4RiLq4ikDR5otDTWjqMmJCdCjOmJc64rECzyFnkBM4f9BGtIP/vzW3Ar94aQ92HGqCjudwm3VfKpVzFqhpo43o7jfjmS/LUGjd8H751JEjhOp6CfUHgr8QKPPFn6Ex0Ia0YeMruqgZFID3HUJZltFu3V8wPkKnedyyqQkIETjUd/bhoY+LcaixCyGCUom0uF5vd6NadQinTYyyZTftOtxsO0bNJvGHCOFY5oyaNjohOhT8CJvDqxFCAAgdVOjNH3D3Z4kcwjFgNPrXDylPEWi6RIXpbCkbX5SMPW000HRxJYGgzWs/VgMAfr5ssl3aihaDo4IL0u0dQjVt9K2CFuQf7URsuA6v/Xo5js+yj/qtnzcJPAfsr+3E6r/swlNflkKUZJw6JxmZidp3nIGBHwT+5hACgTFf/B0aA21IGza+oIuaQQEATV3e7U+fWYTJWvEzPjJE87jIUB0WZyqZIW//pGxP8ci5ORB4Dm09JhyzOra9JgsarVWnp0+IwsrpSYgIEXCsqx+HGrvw6u5qvPZjDQDYImm+jrNzRq00OtoayfRBDuHctNhh20P5Ou78LJFD6CQ8zyMrKws8T9INJlB1UfdtG+s6wkDVxRUEgjalTd3YU9kOngN+sWL4VhMsFgyKCuYMcQgXWh1CQFkX8dGNq3DCjAnDzpEcE44V1tTQzl4zsiZG4flfLMZLVyy128uKheoQtvWYfKK4gqMEwnzxd2gMtCFt2PiCLn0mEQfqBlIsvR0hbO9RooOhOh7R4doOITCwjhBQqkT/Yvlkm1NXZLVJjQ4mRoUiPjIU4SECVlmvGze+mY+Htx6EKMm4cEk6LlyS4XJ7XM1Y5szaORMRGSrg5FkTRzwuNjwEseFKVNaf0kUB93+W6JvLSSRJQk1NjdfTH3yNQNXlVOu+bwW1nWOKqASqLq4gELR53XrX9bS5Kba9K0dj5fQkRIfpsGJaIuIi7H8MLJ2agPnpcTh+Sgz+e/3xmD5R+27u78+cg9PnpuDJSxZix20n4+wFaSOmyqgkRIZCZz2u1eD9O/eOEgjzxd+hMdCGtGHjC7oU1HbAIg2kVx7zskPY0aOsH4wL40etT7B6puLYhYfweOz8+eA4DvOsNxKLrcVxbOmiE6JsrzvFmjZa3dYLjgPuPWMOnrh4oUNZLN5mLHNmRnIMDjx8OnMLj6FMSVJ08qeCMoD7P0vaycsEQSA1LgLz0+NQVK/HrsPNuGRZpre7RPgI3f1mfJBfBwC44vipDr8uJTYcX9+1BhGMvaDCQwR8fOMJqK2tHXFhPKCkl/7riqVO9RkAeJ7DhOgwHOvqR0u3EalxjjmyBEEQ/shP1vWDE6LD0GowotnLKaMd1vWDaqRqJI6bkoi//GwBpk6IwuQkpSDKvLRYvL9PWUcIAJUtwx3CU7OTEfYJDx3P4emfL8Zpc1NcbYbPoRMcc3bvOzMbu440Y0POJDf3yL8gh9BJeJ7HlCkjVxIMRgJZl9PmpqCoXo8vSpqYDuHt7+7HV4ebccnSDPzmxOmYFDdQxSuQdRkv/q7NP7+pQI9JRNbEKJyQNXJlz6FobVwPeEaX5FjFIfT2DyNn8Pf5EgjQGGjjaW1kWR41PdwX8IU5ozqEZ82fhFd/rPF+hNDqEKbERzmU/jf0d4dafEytNMqKEKbEhuOzW1YjKlRn95vEH3D3nDk+K2nYunx/wN26+H7s2MeQJAkVFRWUFjKEQNZFXUf4XVkL+kyi3XNd/WZ8tL8e+j4zXvquCqv/shN3v1+IRr1S0SuQdRkv/qzN0bZevPRdFQDg7g1zXPrDzBO6DGw94T8OoT/Pl0CBxkAbT2rT0NmHFf/3FZ7YccTt7zVevD1nTBYJ+Uc7AADnLkoDAOj7zOg3iyO9zK10qGsIZdOYdMlOjQXPKYXBmrv6UWl1CLMmRtkdlzUx2u+cQcD7c8ZXcbcu5BCOgbAw3y/b6w0CVZfs1Bikx0eg3yxh76BKZQCQW9UOSVZ+YK+YlgizKOO9vDo8+NFB2zGBqosr8FdtHv30EEwWCSfOmIDT3ZCK425dJvrpXoT+Ol8CCRoDbTylzZ7KNjR3G7G1sMEj7zdevDlniur16DdLSIwKxeLMBISHKD97vVlYpt26B2H8KMsCtIgM1SHLur68qF6PyhZlW6xpE/yjgqgj0PcMG3fq4hWH8OKLL0ZGRobd34QJE8DzPI4dO8Z8zQcffIDw8PBhr8vNzfVo33meR0ZGBlUSG0Ig68JxHE6apSzs/ra01e65PZWKg3jKnGS8+9vj8dxliwEM5PYHsi7jxV+1+b6sFTsONUHgOTx8zlyXp215Qhd1c2J/2nrCX+dLIEFjoI0ntWmw7ilX19Hn85WCvT1n1HTRZVMTwPMcUqz7sHpz6wk1Qjg5OWHMuqjbF31T2oLufgs4DpiSFDnKq/wDb88ZX8XdunhF7S1btqCurs7u77zzzsMvfvELTJrEXuSpHjP0dcuWLfNo30VRRGlpKUTRe+kGvkig67J6plLK+LuyFrvH91QqFxs1H/3k2cpxx7r6oe81B7wu48EftTGLEv7wiRL9vXzlFMxMiXH5e3hCF39MGfXH+RJo0Bho40lt6juV6JYoyTbn0Ffx9pxR9x9cbt2mZ8Ah9F6EUF1DaO7Rj1kXtdLopwcaAQBpcREIZxQq80e8PWd8FXfr4hPu98GDB7FlyxY8/vjjmsfU19cjM9P7FR45jkNMTIxfLOb2JIGuy6qsCeA5oKzZYLsA6/vMONigRALVPeFiw0OQbt1+4EhTd8DrMh78UZs399SgrNmAhMgQ3LZullvewxO6+KND6I/zxZX8+9//Rk5ODtLT05GdnY1//etfHu9DsI/BSHhSm8FOYHVbr9vfbzx4c86Ikoy8GmX94IppiQB8yyFMiY8asy6qQ9hmjTZOH7J+0J+h7xk27tbFJxzC+++/H9deey0yMrQ3zKyrq8PkyY5t/OxOeJ5HamoqhbKHEOi6xEWGYGFmPAAlZRAYWD84bUKU3cLtWSlKHv+Rpu6A12U8+KM27+Up20zcdtosxEWOvKHwWPGELuoawhYvV9tzBn+cL67i9ddfxyOPPIL33nsP9fX1+OCDD/DQQw/h7bff9mg/gnkMRsOT2gx2CGvaetz+fuPBm3Pm8LEudPdbEB2mQ3ZqLABgUqzy3efVNYTWfQinpSePWZectFgM9gumTwgch5C+Z9i4Wxevq33w4EFs374dt99++4jH1dfXo6qqCqeffjqmTZuGVatWYevWrZrHG41GdHV12f0BsFXnkSSJ2RZFccS2KIo4ePAgLBaL7XF1Y1GLxTKsLcvysDaAYW01BDy4rb7faO3x2jTUjrHYJIoiDh06BJPJFDA2DR2n1TOUdYTflLVAlmX8WKE4hiumJdr13eYQNnbBZDKhpKQEZrPZJ23y5jiZzWaUlJTAZDL5hU1mi4gK6+L9E2ckuW2c1DljsVjcZlOy9S55i8FoO5+vzz2z2YyDBw/a+uTM3PN39uzZg7/85S/IyckBAGRnZ2Pjxo3YsmWLR/shiiJKSkoolYuBp7SRZfs00epW344QenPOqOsHj5uSAIFXvCc1QnjMi2sIO60RQn1z/Zh1iQrT2TmB0wLIIaTvGTbu1sXlDmFLS8uwwi+D/5588km74//85z/j0ksvRVpa2ojn1el0aG9vx2uvvYaKigo88sgj2LhxIz7//HPm8Zs2bUJcXJztT003ra6uBgDU1taitrYWAFBVVYWGBqVaV0VFBZqamgAApaWlaG1VfvSXlJSgo6MDHMehu7vb5mAWFhbCYFB+JBYUFKDv/9s77/g2yvuPf+60vPeIZzxiZzlxNoEMkpAQCAQKHZQCJZRSRqHQAA2lZZRCobTQQoH+KAUCpGkotGxCAmSQhCzHjmM7dhxvy9uyLEseGnf3++N0Z8k+2ZKtZel5v15+5SKdpOf5PM+N732/z/c7yJ+oi4qKYDKZwDAMioqKwDAMTCYTioqKAACDg4MoKSkBABgMBpSWlgIAdDodysvLAQBarRaVlZUAgO7ublRXVwMAOjo6UFtbCwBobW1FfX39pPoEAOXl5dDpdBPuk+DKPn36dMD0aeQ4Lc3gT7hHarrRo+3FgbMtAIB5ySq7PkWx/O+UN/egvr4e8fHxaGtr88s++XKcent7ER8fj7Nnz06JPpVUN8BoYaGgKShMeo+NU3FxMeLj4zE0NOSxPiVa6yCaGQ69A+YpMfc6OzthMplAUZTLc2+q8/LLL+P666+3e62srAxRUVFebQdFUYiPjyehXBJ4S5u+IQv6bcofNfX4t4fQl3PmlDVcdGlWrPiar0NGOY5Dj5BUJnlyughhowCQnRg4GUbJeUYaT+tCccKjXR+g0WiQmpqKvXv34uKLL3b583feeSe0Wi127do16j2j0QijcfgJUF9fHzIyMqDVahETEyM+OaZp2m6bYRhQFDXuNk3ToCjKbttisUAmk9ltA7xVb7stl8vFJ+LCNsuykMlkdtssy4LjuHG3pfpB+uT+PpktDBY9+RX0Qxa8dctSbNl+EhwHHH1oLZIiVWLbz7bqcOVL3yI6VIFTv1kHuVzut30KxHHyVJ/2n+vErW+dQn5yBL64d9WU79PCJ/ZCO2DGnvtWY0ZiWMCM08i5ZzAYEB0dDZ1O53UDyhOYzWZs3boV27dvx9GjR1FQUCC5H7kGBmafKtv6cMXfjojjOiMpAnvuXTml++SpcVrxzD606oaw86cX4MLceDAMg+LmPvzg1aPIjAvFN79a5/U+DZoZFDz+JQCg7LENiAxVTnic/nmoDk99XgUAOPSrNUiJUk3JcQrEuedPfXL2GujTkNEdO3YgJSUFq1evHndfqdAfobNSqFQqREVF2f0BEGNvaZqW3JbJZGNuCy5boT3CJAB4L+bIbYqiRm0DGLUtTBrbbZqmndqebJ9G9mMifWIYPpRW2DcQ+jRynBRyGVbk8mGjz39ZDY7j4/ZTYsLs2j4jOQoymoJu0IyOPiPKy8vBcZxf9smX48RxnOgVmgp9quviQ7PykiI9Ok4URaG8vBwsy3q0T0nW0hOd+qEpMfc4jhPDZVyde4FCU1MTVq1aha+//hqHDx92aAwCnomS0Wg0KC8vR1lZ2ZTw6nsz+oJhGJw+fRrFxcVu6VNdXR1O1Peg4ny9XZ/K6/g+Rar4ud2kGUBl1Tm/8eq3dXTik2/PgOM4dHR0oKamBuXl5VCr1V4dp8auPrTqhkBTQEFqhNinaULIqG4QHMd5fe7VqfltBQ1Ulp0GwzATHqeZSXyZCaWcRowSAXM8nTx5EuXl5ejv7w+YPrnjvNfW1oZvv/0WDMN4JErGpx7CCy+8EAsXLsQrr7wy5n5msxkXXHABbrzxRtxzzz1QKBTYs2cPrr32Wnz88ce45JJLxv2tvr4+tzwlZlkWWq0WsbETrx8TiASLLv863ojffFAu/v/6ZZl4+tp5o/a75LkDqO3qx/YtSzAvUR7wukyEqTZntr1/Bu8WNeMXl+Rh6wbPZBgFvKfLjf88jsM13Xju+4X47mLHCb38hYnq4q5zv685deoUNm3ahJtuuglPPfXUuAWKPeEh5DhO1FEw+KfSk3JPPv2naRo9PT2IioqCUqmcdJ++rdXgxtdPYOPcZPz9hkVin3Yca8SjH5/F2pmJOFzTDTPD4dCDFyMtNswvPBrPflGFVw7U4vkfFOI7C1LBMIx4DAoPbLwxTrsrOnDPv0+jIDUKn9yzUuyThaMw6xF+qVHpo5ciKlTu1blX0dqHq17+FsmRKnx2+wLExcWJD4xdHScLw2Lbf89gVkoUbluVEzDHk9lshl6vR0xMDDiOC4g+ueO8Z7FYoNVqER8fL57XnemTsx5CucN3PEx3dzdOnDiBBx98UPL973//+wD4moUKhQI7d+7Eww8/jOeeew4mkwkpKSnYvn27U8agO6Fp2m4wCDzBostqaz1CAaH+4EhmTYtCbVc/qjsNWDMr1xtNm3JMtTlTY00oMyPJs2s1vKWLUHqiyzA1Sk9MtfniTpqamrBp0ya89NJL4rVxPFQqlaTRaOtNHfkaAPEGxtH2yDGw3Ufw/jqz7ay3WKqNrm6P16extl3pU0JCgvjaZPtU3cGfb4qbeu3GrM2aDGV6fDgaNQOo6+5Hc+8QMuIjPNInV8fpq0reI3GsToNrF6VLHrfeGKdTjb0AgCVZcXYRDHIAMWEK9A6Y0aEfQnRYpFfnXu8gn1QrNlxpN1+c6dPIbYVchuevWzjq9al+PCmVylFzZqr3yR3nPblcjsRE+3tQZ/vkDD57LJ+QkACGYXDttddKvv/ee+/ZZVCbNWsW/ve//6GlpQVdXV04c+aM0xdGd8IwDEpLS8EwJPuRLcGiS0ZcmF02r+XW2kYjybcWLK9q67PTpaG7H0ZLYGvkLFNpznAch5pO/gYt18P1nrylS6I1/XqnD7PtucJUmi/u5o477sBdd93lk2ueLcE8BuPhbm3adHwIWpfeCK01CQkwXHIiNSYEmfF8yGCjn9Qi1PabRENW+NdXc6a4iQ/zWzQ9dtR7yZG+Sywj1CCMDVOQY8kB5Dwjjad18f84LT+DpmlMnz59SoS4eZNg0mV1Hv9ULycxXEzfP5KZ03iDsLrDIOpy+Hw31vz5AH702nFiFGJqzRlNvwm6QTMoCsj1cDY3b+liu4ZwKjCV5ou72b17N1555RXJzN3eJJjHYDzcrU2rbvi4rO7QD78uGoShyIrnH041+EktQqEIPADUdBrEUEhvz5kBkwUVrXwm+MUSBmGS9WFYu84HBqHVuI8NV5JjyQHkPCONp3XxWcjoVIWiKMTExPi6GX5HMOnyg6UZ+PRMG25aPt3hPoJBeL7TgMioaFAUhf87yC9wPtWoxe8+OYs/XDN67WEwMZXmjOAdTI8NRYjCtTAMV/GWLkJx+k791PAQTqX54m58uNTfjmAeg/FwtzZtNrUGqzv0uCCHD6Fr7eWNmJToUEyP54/dRj+pRXiiXiNuG4wWtOmGkBoT6vU5U9qsA8NySIkOQVpM6Kj3hcQyvjj39QzwRenjwpXkWHIAOc9I42ldiPntIgzDoLi4mLiyRxBMusxNjcapRzbglhXZDvfJjAtDiIKG0cJi96GTONvai8M13aApgKKAnceb8O7JJi+22v+YSnNGMAhneKHWk7d0EdYQdk8Rg3AqzZdAhYyBY9ytTZudh9AafslyaLeGOabZeAgbe/zEIGzQ2v3/fKfBJ3NmrHBRwKY4vQ88hEJR+phQBTmWHEDOM9J4WhdiELoITdPIy8sjruwREF3skdEU8pJ4L6E5LBFvH+WNv41zp+F+a4bKRz6swOnmXl810edMpTkjGoQeTigDeE+XpCnmIZxK8yVQIWPgGHdqY2FYu+PynDVktFM/BIblIKcpJEaqbNYQ9vvcizxgsqCihU/JX5jOF0w/36H3yZwRCtIvznRgEEb7bg2hUJQ+LlxJjiUHkPOMNJ7WhajtIhRFITIyUsxaReAhuoxGCBstbRvAByUtAIBbVmTjrjUzcOmcZJgYFnfuOIW+IbMvm+kzptKcqfVShlHAe7oI618NRgsGTBaP/pY7mErzJVAhY+AYd2rTZTCCYYcNvOoOPTiOE9cPTosOgYymkB4bCpoCBkyMz7MFlzT1wsJySI0OwcUzkwDw7fb0nOkbMuO1b+qg1vJeUpblRA+h1PpBAEi2PgzzZVKZuHAVOZYcQM4z0nhaF2IQuojFYsHJkydhsfj/DZQ3IbqMZqY10+g7RxtgtLAoSIvC0qxY0DSF535QiLSYULTphnCoutvHLfUNU2nO1IoZRj1vEHpLl3ClDKHW9ZBTIdPoVJovgQoZA8e4UxthnWBChAo0BfQOmNGlN6LF+npqNL8uTiWXIdW6Rs7XmUZP1PcAAJZmxyE/mT9Pnu80eHzO7DjWiKc+r8T3/n4UTZoB1HUb0DtgRoiCxpxU6Zpr00QPoffPe9p+/gFwVIiMHEsOIOcZaTytCzEIXUQmk2Hu3Lku1/cIdIguoxE8hIz1Qe9PVmSLT3YiQxRYbk0SIIQjBhtTZc70Gy1ixj9veAi9pQtFUWK2PV97F5xhqsyXQIaMgWPcqY1QciI7IUxcJ1jdYRATzaTGDGe3FtcRetEgLG/R4TcflNmtwRMNwqw4cblETYcBNE17dM5UtfHhtO19Q/jRP4/h49I2AEBhegwUMulbXGEN4UhPrDcQPITxESpyLDmAnGek8bQuxCB0EYqiEBYWRlzZIyC6jEYwCAH+Se8V81Ps3s+zPkUVCp4HG1NlzgjhogkRSsSEKT3+e97URVxHOAU8hFNlvgQyZAwc405t2qyewGnRoeJ14lyH3q7khMB0m3WE3uIvX1bjX8eb8It/l4BhOZgsLEqa+TDNC7LjkJ0QDhlNQW+0oENv9OicER6ohipkUGsH8eLX5wE4DhcFhj2vDMtB4+WHYcNrCFXkWHIAOc9I42ldiEHoIhaLBceOHSOu7BEQXUaTFKlCTKgCAHDDsnSo5PZPdYSMlcHqIZwqc6bGi+GigHd1mUq1CKfKfAlkyBg4xp3aCBlGU6NDxKUH1e364ZBRCYOwwUseQo7jxGRoJxp68PrhOpS36jBkZhEbpsCMpAgo5TSyrO2qbNWJunTpjXjhq/Nips3JwrIc6rr58/PrNy9BeuywLmMZhDJrUh7Au2GjgyYGRgsLAIhS0eRYcgA5z0jjaV2IQegiMpkMCxcuJK7sERBdRkNRFG6/OAfLs2OxRaJEhRB+WNtl8HrYij/g6znjbFY+byaUAbyry1SqRejr+UIgYzAW7tRGCBlNiQ5BvjXSxNZDmGZnEPIho01e8hC29A5C0z9s0P15TzX+dYzPor0kK070XuRbDdnarn5Rl8c+LsdfvqrGG0ca3NKWVt0ghswslDIay7Lj8O/bliMtJhQxYQosyYob87NCLcJ2LyaW6bEawkoZjchQJTmWHEDOM9J4WhdSmH4CkEkqDdFlNHdcnIvbVmZJapMRFwalnIbJwkKtHRAv7MGEr+bMtvfP4OuqDnx6zyoxwYAjvO0hBLyni2AQdk0BgxAg5xh/gIyBY9yljbBmOSUmFDkJ/HXhfIceCjltfX30GkJveQjPqPnSEnNTozAtKgRfV3Xiv8VqAMAyGyMsLykCu8EnlpHJZND2m/DV2U4Aw0m6Jotwbs5KCINcRiMjLgxf338xzAyLyBDFmJ/lsyzrJDON9hstUGsHkZUQNiqyZzJorYZ0bLgCFEWRY2kMiDbSeFIX4iF0EYZhUFRURApmjoDoIs1YushoyuZiH3xho76aMxzH4fPyNnQbTNhd3jbq/fMdeuw83iSWA/FmDULAu7pMpVqE5Bzje8gYOMad2ojJY6JDkZUQDoWMQr+JQe8Af06yDRnNjONDM3WDZreFYo5FqboXAFCYEYOnvzsPsWHDhtfSbBuDUAh17dCjqKgIH51ugYnhwyUb3OTNrO3iv8f2YV2IQjauMQgAydaEWjWdBhw634VXDtTg5zuLse7PB1Dw+B5s/Os3ePzjs25pp4CQUCY2TEmOpTEg2kjjaV2IQegiMpkMS5YsIU8vRkB0kWY8XYSLZjAmlvHVnOnpN0E/xMfgHzpvX/KD4zjcvuMUHv6gDBc/ux+vH64Xs/d5M2TUW7oItQg7fVCPy1XIOcb3kDFwjLu0MVlYMevvtOgQKGQ0chKGzz2RKjmibAyeUKVMNG7quz0fNnqmebj4fFJkCP5wzTwAQFSIHHNtyjyIIaOd/Vi8eDE+ON0qvteoGXA6ZH8sJvOwTggZ3f5tA256/QSe/eIcPjvThrrufghN+/Jsu1vaKSAklIkNU5JjaQyINtJ4WhdiEE4A8tRCGqKLNGPpMhUSy+ytaMfqZ/eLiQTciS/mjO3T6aO1Ghgtw22o7jCgzvrUWTtgxu8/PQsLyyFcKUPKOKGl7sRbuiRNsZBRco7xPWQMHOMObTr1Q+A4fp1ZfDif1TjfJmO1rXdQQDC+HJ2jWZZDZVsf3jhcj/t2leALicgIZ2BZDmUtvEE4Pz0GAHD5vBS89uMl2P6TZXZlHrISwsRMo4fOd+GMWgc5TYGiAIPRYrcOcaII67snEs6/yCbpTFZ8GK6Yn4Jtl83C2z9Zhm8fWgeVnEa3wSR6Id2B4OGNs44rOZYcQ7SRxpO6EIPQRRiGQUlJCZmsIyC6SDOeLsKTzfN+bBD++0QTmnoGsONYo1u/11dzps7mAj9oZnCqUSv+f29FOwBgzcxE/OGaeeIau9kpUV5Lge1NXYT+afpNMFvDufwVco7xPWQMHOMubYQMo9OiQ0DT/DlnZvKwwWO7flBgdV4iAGBfVeeo9/5zshlLnvoKl79wCE98ehYfnm7FM7urJtS2um4DDEYLQhQ08my8chvmJGNRpn1WT5VcJmYafeKjMwCANTOTkBrNG7QNbvBm1k7CQ3hRbgKO/foSnHn8Uhx4cC1e/tEi3LkmF6vzE5EaE4qFmTEAgOP1mkm3U6DHZg0hOZYcQ7SRxtO6EIPQReRyOZYvXw65nOTjsYXoIs14ugg1pmo7DW4NTXEnFa19AHhvmjvx1ZwZuX7lm+rhsNG9ZzsAAJsKUvCjCzJx4IE1eObaeXjmu/O91j5v6hIXpkRUCP87wpN/f4WcY3wPGQPHuEsbIZOobUSCsLQAkPYQrp2VBAA4XteDfuNwSnoLw+LZPefQ029CqEImlmKYaERAqTVcdF5aNOQOir7bIhSob9DxN7DfW5yOrAT3lMnQ9ptEL2NO4sQSsk2LDrELv7Xlgux4ALym7sJ2DSE5lhxDtJHG07oQg9BFOI7DwIB74t8DCaKLNOPpkhXPF/A1GC1eTX/tLF16o5hwpKV3EM099hfxnn4TXt5fA501FMYVfDVnGrr5PhSk8etdDp3vAsDfiJW16EBTwCWz+RuscJUcP1yW6bX1g4B3daFpCqvyee/CAQnvgj9BzjG+h4yBY9yljeAhtDUIZ9oYhGkSBmFuYjgy4kJhYlgcqRl+wHW0ToNugxGxYQqUPLoBb2xZCgDoNzEYMrvuZThjTSgjhIuOR76NZzM2TIF1s5LEbNqNk0wsI4SLpsWEIkzp/hvkC6wJck7U97htvmut18nYMCU5lsaAaCONp3UhBqGLMAyDiooK4soeAdFFmvF0UcppsbCwP64jPNvWZ/f/o3X2XsInPz2LP+05h9cP17n83b6aM0LihR8vzwLAe0C79EYxXHTJ9DjER6i82iZbvK3L2pm88bvvnH8bhOQc43vIGDjGXdq025ScEMiIC0OIgr9dS5UIGaUoCuusx/H+c13i6x9ZE7lsmpeCEIUMUSFyyK1hqNoJZCQtVQvrB6Od2n+GjSG7eX6KXcH6yXoIBYNwot7B8ViYGQuFjEJ73xCaetxT0kM7ImSUHEvSEG2k8bQuxCB0EblcjqVLlxJX9giILtI4o4s/J5Y522pvEB6zMQiHzIwYYlnVrnf5u30xZziOE0NGF2fFYk4K7yU8UtMt9uXSuclea48U3tZlzUzeQ1je0ufX2UbJOcb3kDFwjLu0aRVLTgwbfjKaEsM9Z6dESX5OCBs9cK4THMdhyMxgTzn/kOvqBWkAeMMx1prQRGNwzSA0WVjxAWHhBDyE31+SCQBu8xB6uhxQqFImekKP17snbNQ2yyg5lhxDtJHG07oQg9BFOI6DXq8nruwREF2kcUYXf04sU9HKPxFeMYNfT3GsViP25ZvqLhis61XqJpAgwBdzplNvxICJgYymkBEbhtXWcMlPSlvFi/6lc6Z5rT1SeFuXhAgVCq1P/A9Ud42zt+8g5xjfQ8bAMe7SZjhk1D409OUfLcKn96zErGnSBuHynHiEKGi06YZQ2abHgXOd0BstSIkOwRKbjJpC5lJXPYTn2vUwWVhEhyrEqJbxyEuKxKZ50/DdBdMwN5X3FmZZDcL67v5JaSVVg9DdCGGj7lpHKNSJjAtXkmNpDIg20nhaF48YhGq1Gq+88goWLlyINWvWSO7z2WefYfHixcjIyEBBQQE++uijMb+zt7cXt99+O3JycpCSkoItW7ZAp/N+EgSWZXH+/HmwrH9n5PM2RBdpnNFFSCzjlx5C6xPhm5ZnQSGj0KobQnMP/wT787Lh1OWNmn5YXMxS6Ys5I4SLpseGQimnsTovAQDwdVUnGJbDrGmRyHTyZsdT+EKXNUK4mR+vIyTnGN9DxsAx7tKmTcefX6eNKHMTE6ZEQZrjUM0QhQwrcvnz2f5znWK46FWFqWK2UmC45EGPi2UfSsX1g9FOZ1yW0RT+9sMFuCGfEm9iBWNSP2QRyzBMBE97CAFgmbCOsME9CdV6bJLKkGPJMUQbaTyti9sNwoGBAaxevRpFRUVIS0uT3OfgwYP40Y9+hL/97W9obm7Gq6++ih//+Mc4duyYw+/93ve+B71ej7Nnz6K+vh5GoxE33HCDu5s/LjKZDIsWLSIFM0dAdJHGGV1mJFqL0/uZQdhvtIgG1OLpsWKY0NG6bgyZGXxVOWw8mBkOLdZQJ2dxds609A7ifIfrIalSCKnOhafUi7NiEaoY/v1L5/rWOwj45lhaZw03O3S+22/LT5BzjO8ZOQa1XQboBid+Ux9IuGN+Gi0Muq2hnFLZRMdDCBv9pLQVX1sf7ly1INVun4mGjAoJZZwNFxUYqUuIYrima72TYaPFTVps/Ms3+Moa1j9kZtCs5df1edJDuCQrDjQFNPcMiqG8AKAbNLvspRk0MRgy8+fW2HAlOZ+NAdFGGk/r4naDMCwsDHV1dXjjjTewZMkSyX2efPJJ3HzzzbjooosAACtWrMDNN9+MP/3pT5L7HzlyBAcPHsRf//pXhISEICQkBC+88AL27NmDsrIyd3dhTDiOQ29vL3Flj4DoIo0zuuQm8cZJT7/J5ae2nqSqXQ+O44uXJ0aqcGGuNWy0rkcMF50WFSJmwKtzsYCvM9pwHIcfvXYMV7x4GHVdkzeYhRuQ7ARec5VchuU5ceL7G328fhDwzbE0Ly0a8eFKGIwWnGxwX5p1d0LOMb7HdgxONWpx6V++wb27SnzdLL/AHfOzQ8dndFbJacSGSZdDGAvBIKyyhnfOSIoQ10kLTDRk9IyLCWUEpHQRvITOriPccawR5zr0ePD9UvT0m6zhpkB0qAIJEUqX2uMKESq56JU9YV1S8M6xRiz6/Zd49KMKl75L0FspoxGulJHz2RgQbaTxtC5eX0NoNptx6NAhXHnllXavb968Gbt375b8zL59+7B06VIkJSWJryUlJWHZsmUOP+MpWJZFY2MjcWWPgOgijTO6hCnlYipxf/ISnrWuH5ybyt9QLM/hDcKjtRoxXHTTvBTRoK110WBzRptugwmNmgGYGBY7jjW53IeR1HfZG4QAsMpa1DktJnTUzZMv8MWxRNMULrYmlzlwzj/XEZJzjO+xHYN/HW8Ew3I4WqtxOVw8EHHH/Gy1houmxoQ6HZZpS1pMKGZNG87seXVh6qjvEUJGNS48fBwwWVBtjdIozIhxqU1SuggRGkIJoPEQHlJpB8x46rNK8VozIyliQjq5griOsF6DVw7U4JEPy/l5X+daGKnwsDcmTAGKosj5bAyINtJ4WhevG4QajQZGoxGpqfZhDKmpqRgcHIRWqx31mZaWllH7C59paWmR/B2j0Yi+vj67PwCikCzLSm4zDDPmtkwmQ0FBAWiaFl8XrHWLxTJqm+O4UdsARm0LaWRtt1mWdWp7sn0a2Y+J9Ekmk2H+/PnivoHQJ3eMEwAUFhaKFwBHfRLWEVa39/lNn4RC5bNTosAwDBZlxkJpTcP9eRmfve7ygmTkJPBtFy7Szo4TRVEoLCwUf1uqTzWdw6Gi751qRr/RPKk+CSGw0+NCxde/uygV31mQit9dNRccx/l87nEch8LCQtA07dVzxFprgp39VZ0+n3tS2xRFoaCgADKZzOVzBME9yGQyFBYWYsDMig+FjBZ2QkmlAg1Bm8mEcwnrB1OiR5eWcBZhPTAAbC4cfd8kriF0IWS0rqsfLMd7F5OjXGublC6uZBptt65bpyiAooD/Fqux8zj/cDDXQyUnbFlmLVD/31MtePaLc+LrzT2u1YM7WssbkImRfEkjd8yXQIVoI42ndXHJIOzq6kJ6errDv+eff37c71Ao+DAIwaASEJ7ySB1gCoVi1P7CZxwdkE8//TSio6PFv4yMDABAQ0MDAKC5uRnNzc0AgPr6erS28guwa2tr0dHBx6lXV1eju5sv8lpZWQmtVguWZVFUVCQarqWlpTAY+BvhkpISDA7yJ/SioiKYTCYwDIOioiIwDAOTyYSioiIAwODgIEpK+FAbg8GA0tJSAIBOp0N5eTkAQKvVorKyEgDQ3d2N6upqAEBHRwdqa2sBAK2traivr59UnwCgvLxcTNIzkT6xLIvW1lYUFxcHTJ/cMU41NTXQaDRQq9Vj9kkoPXGmsdNv+lRSx7clI4JvT6hShjnJ/AXYxLBIDFcghtGKdaCq1D0ujZNGo4FGo0FZWZnDPlW2DD8g0g9Z8EGxesJ90vT0iDcg0bRRHKcBXQ/uWhSO9XOS/WbuaTQa9Pf3e/UckR/NQkZTON9pwJnaFrf3ydlxctSntrY2lJWViecaV8aJ4B5YloVGo8Gnpa3ieihgOBtxMCNoMykPYS+fYXRkQhlXuHJ+CmQ0hYty45GVMNpgEg1CF0JGuwx8KGuSi8YgIK2LK7UIT1i9g3NTo3DT8ukAgG+txpUnE8oILMuKA0Xx1zwAeHDjTNAU/yCkS2906jvU2gH85Sv+PHbDBXwf3DFfAhWijTSe1oXiPBik+/jjj+PAgQM4cOCA3euhoaH45JNPsH79evG1r776CldddRUGBkafIP74xz/ik08+weHDh+1eX7lyJTZv3oxt27aN+ozRaITROHyw9vX1ISMjA1qtFjExMaKgNE3bbQueC0fbHMehoqICc+bMgVwuB8MwoGkaFEWJnjLbbYB/Um27LZfLxSfiwrbgfbTdZlkWHMeNuy3VD1f6JGwL/ZhInyiKwtmzZzFz5kwolcqA6JM7xslisaC6uhozZ86ETCZz2Kf/FKnx0P/KcGFOHP79swt93iej2YJ5v/sSJguLffevxvS4MMhkMjy39xz+tq8GAHDLiiw8csVslKp1uOaVb5EcpcLxh9c7PU4sy+LcuXPIz8+HQqGQ7NPvP6vCW0cbERumgHbAjNkpkfj4rgvFOjy2/fi2pgsfl7bjh8syMD8talSfmnv6serZA1DIKFQ8filkNOWXc89sNqO6uhqzZs0CAK+eI374j+M40dCDxzfPwZYV2X51PJnNZlRVVWHOnDniA0Rn+mQwGBAdHQ2dToeoKN+HBPuKvr6+SevAMAwqKyvx6Dc6FDf1IkIlh8FowU9XZuO3V85xc4unFoI2s2fPnvAT/N9+WIYdx5pw99oZeGDjzAm3paG7H/ERSkSGjF6H+G1tN3702nHMSIrAV1svdur73itqxoPvn8Hq/ES8/ZNlLrVFSpezrX3Y9OIhxIYpUPLopWN+/tGPyvH20UZsuSgLWy/Nx/rnDqLTaoi9fvMSXDLb8+u+f/DqUZxs6MGT3ynADRdMx4pn9qGldxD/vfNCLJ4eN+ZnOY7DrW8VYV9VJ5ZlxWHXz5aDpim3zJdAhWgjzUR1cfbc75M6hBs3bsTnn39u99qePXuwceNGh/ufOHECGs1wzLZWq8XJkydx2WWXSX5GpVIhKirK7g8Y9kzSNC25Ldy0O9oWQiOFG1LhRgjgb9xGblMUNWobwKhtYXBtt4XfG297sn0a2Y+J9Ekmk2HevHlQKpUB0yd3jJNSqURBQYGdl1uqT0ut6xSO1fegptPg8z41aAZhsrCIUMmRFR8hvn6RNa05wD+JpmkaOVbvZkefEQajxelxUigUKCgogFKpdNgnIRTtzjW5UMlpVLbpUdqit+tTVXsfbn2rCDe8fhLvFjXjyc8qJfvUqOG9WBlxYVAq5H4794Q5I5fLvX6O2DCHv7n694lmsCznV8eTQqHAvHnzxDa5Mk4E9yCTyRCSlIXipl7IaAp3rskFAFS09tntZ2FYPP15JXbblKYJdGQymRjSPFHahRqEMRP3EAJAVkK4pDEITKzshJD5dCIJXKR0EZLKaAfM0I1TekJI5rIsOw5RIQr87qq54nve8BACwJtbluLQr9aK3r2MOH7Nf1PP+B7Oz8rasK+qE0oZjT9cWwChBIg75kugQrSRxtO6+ORq+cADD+CNN97A8ePHAQDffvst/vGPf+CBBx6Q3H/BggVYu3Yt7rvvPhiNRgwNDeHuu+/G2rVrxTVI3oJlWXR2Dq+xIfAQXaRxVpfcxAisn50MjgNePVjrpdY5RggBm50SCdsaVoumx6AgLQoXZMdhYQZf7Ng201u9C5lGndFGSLKzeHosrramT3/7aCMAvhzFA++V4vIXDmFfVSdk1naebu6Ffmj0TYaQYTRHIozKn/DlsfSDJRmIUMlxrkOPfX5Wk5CcY4Dt27ejoKAA6enpWLZsGY4cOeLV32dZFm8f4tdRrclPxMXWdacVrTq75RtfVXbi1W/qsPU/pdD6UeZkT+KO+SnUeE2Ndr3khLMIBmHvgAkM61yAmBAamRihcvn3pHQJV8nFtXQNY6wj1A2acc6azGZJFn+9uaxgGrZuyMdda3KRGeedmrHhKjnSY4d/S/hdYbwcoRsw4/GPzwIA7lqbixlJwwl/yPnMMUQbaTyti08MwpUrV+LNN9/ErbfeirS0NPzsZz/D9u3bsWLFCnGfkWsS3333Xd4bkZODnJwcyOVy7Nq1y+tt5zgOGo2GpMMdAdFFGld0uWst/7T9g5IWu5pHvuCs9Yn/3FT7FOMquQyf3rMK795+oZ2hKCSWqet2PtPoeNoYjBa0WZ+Yz0iMxI8vzAIA7C5vw6MflWPtnw7g/VNqcBywad40fLX1YkyPDwPDcjheN7p0wsgahP6KL4+l6DAFbrSu03lpf41fHc/Bfo7ZsWMHHn74Ybz//vtQq9XYtm0brrjiCnEtpTcwWxh8Us5nof3+kgzkJ0dCIaPQN2SBWjt8zvrmPL/PoJnBv443eq19vmSy87O4SYtzHXrIaQpzUj0X2hwbxhuELAena0h2W9cQCkacKzjSZXgdoWODsLhRC47j902K5L2mFEXhF5fk4VeXzfJ4hlFHZFiNw/E8hH/eew7dBiNmJEWI3nSBYD+fjQXRRhpP6+JRg1BYQyjFNddcg/LycrS0tKC8vBzXXHON3ftqtRpbt24V/x8TE4O33noLLS0taG1txVtvvYWYmBgPtl4amUxG4polILpI44ouizJjsTwnDhaWw2uH6rzQOscIIWDOlmEQEsu4UotwPG2EuoMJESpEhylQkBaNhZkxMDMc3j7aCBPD4sKceHz48xV45YbFyE4Ix4oZfEjrkdruUd8nGoR+7iH09bF068psqOQ0Tjf3upxa3ZP4Whdf87vf/Q4PPPCAuLb0u9/9LlavXo2XXnrJa204UtcD7SCDuHAl1s1KglJOI8/q9RDOGRzH4Zvq4dIl279txJCZ8VobfcVk5+fL1rXZ1y5KczmTpysoZDSiQviw7Z5+55KiCAZhwgQ8hI50yRIzjTo2qoSEMkuzxl6n520y4wUPoeO264fMeO8Un+zqiavmQiW373+wn8/Ggmgjjad1IQssXIRlWbS1tRFX9giILtK4qstda2YAAHadaPZZkXqO43C2zWoQOvmkWqjr50r6+fG0EcJFbVOL37NuBmiKzzj39k+WYedtF2CBTV2slYJBWDPaIBRKTmT7uUHo62MpMVKF65byWZlf2e/78GUBX+viS5qbm1FTU+NS/V5P8J+T/A3u1QtSoZTztw9CnVLhnNGoGYBaOwiFjMK0qBB0G4z4sES6PFQgMZn5WdGqw9dVnaAp4E7rNcCTxFsNu55+5zyEQsjoRAxCR7oID+bG8hCetK4fFNbY+wtC+OhYBuHusnYMmVnkJIbjwtz4Ue8H8/lsPIg20nhaF2IQugjHcdDr9cSVPQKiizSu6rIqLwEFaVEYNDPYfsR7oWC2NPcMQjdohkJGifURx0NILFPnQnH68bQRDELbxAHrZiWj7PGN+PSelVidnzgqZOjCnHhQFFDdYUBn35D4uoVhxfAefzcI/eFY+tnqHMhpCodrunG6uddn7bDFH3TxFUK9Xan6vd6qxWsyW9BiDWW/dsE0cRxmp/AewrOtOlgsFtE7uDgzFreuzAIAvHaoDgzDurXGq7/VreU4Dn19fRPqk/Dg5Yp5KchOCPd4n2LD+IQzPf1Gp2qHDnsIlS6Pk8VigV6vt2sXy7LIjOXXSTZ290u2fWDIhDPqXgDAooxot42T0PbJzL30GN4wbusbwpDJIjlOgnfwuwvT7Nor7GOxWNDX1yf+pq/75G/Hk16vF+dPoPRpsuPEMAx0Op2YlduVPjkDMQhdRCaTIT8/n7iyR0B0kcZVXSiKEr2E279tgMFo8WTzJDlWz4cJzk+PGRXm4gghZLS+u9/pG/bxtJEyCAF+gb+jtSOx4UoUWNc92oaNtvQOwsJyUMlpTPNgOJY78IdjKT02DN9ZmAYAeHl/jc/aYYs/6OIrxqrf6+h4c3ct3upzVXjz+tnYc99qsD1qsSalqp9PPlTR2oeSkhLsr+I/mx06hGsLpyFCJUdtVz++qmwP6Fq8MpkMGRkZYj+c7dPXJ8vxeTmfjfXKXIVX+kSb+YdjPf3mcWuH9hn6obVmAg2lzC6PU0NDA/Lz89HR0WHXpxCL3jpvdLh3x3H8/tOzePJ/J1FWy/f1s2PlMDEcEiJUGOxs9Jt6qB0dHehtb0aoQgaOA46Xnx81TkdKz+FkgxYUBSyINUkfT9XVSEhIgEwm84s++dPxVFxcjPz8fJhMpoDpkzvGqbu7W8y87YlavB6tQ+hPuKMGE8Bb362trUhNTSUpzW0gukgzEV0YlsOGvxxEXVc/fn35LNx+ce74H3IjW989jf+VtODna3Px4MZZTn3GzLCY9cgXYFgOx359iVOFlcfT5pLnDqC2qx/v3LoMq/ISnW7/M7ur8H8Ha/HdRel47gd8FuKvKztw61tFmJkciT2/XO30d/kCfzmWajoN2PCXg+A44JO7V2JeevT4H3IjfUNm1HX1IzMuDHHhygnr4q5zvy/p6OjAtGnTcP78ecyYMRxS+M9//hPPPfecePNgiydq8XIch/b2diQnJ4tlRXQDRiz4/VfgOODbbWuw4S+H0G9i8OFdF6IwIxbP7K7Cq9/UYVl2HN792fKArcVL0zRaWlqQnJzsUi3eB94rxf9KWnHpnGT8/YaFXunTg++dxnunWvDApfm4Y3W2wz7J5XK09Q7iwmf2QUZTqP79ZQA4l8aJYRhx/gplYViWhcFowbI/fI0hs70HIypEjt9/pwBNmn489+V5bJo3DX/74QK/qYcqbF/+4mFUdxjw1i1LcPHMZLuxEer1rspLwPYtSyTHxmw2o729HWlpvAfRH/rkL8eT2WxGZ2cnUlJSwHFcQPTJHeNksVjQ2tqK9PR08Xhxpk/O1uIld+4TwPYiSxiG6CKNq7rIaAp3WI3A1w7VezUhA8dxOGZNJHJhTsI4ew+jkNFiKm5XwkYdaWNmWDHZQG6ia7WmbNcRchwHhuXwojVhg+16Q3/GH46lGUkRuLqQD1F8enel10M1TzVo8Z2Xj+CGfx4XX/MHXXxBcnIyCgsLJev3ersWr9FotKtDGR2mEhOE7DqpRr+JTzozPz0WFEXhlhXZUMgonKjvQXlLX8DW4gUAk8nkUp9aeofwUSnvHbx73Qyv9Sk+gn9gp+k3jdsnjXUte3y4EjIZPaFxMhqNo/oRFarErp9diEevnIP7N+Tj9otzUJAWhb4hC+7ddRp/P8gnVlsyPc7t4+SOuSdkGlX3DtmNDcty+MC6ZvZ7i9PHHBuTyeRXfRprvnn7eDIajQHXJ3eMk9lsnlCfnIEYhC5C0zRyc3NdEjkYILpIM1FdrlmYhrSYUHQbjHivqNlDrRtNc88gWnVDUMgoLJ4e69Jnhfp+tU4mlhlLm0ZNPywsh3ClDClOeBttWZIVC6WcRnvfEGq7+vHmkXqUNvciMkSOrZfmu/RdvsCfjqX7L50JpYzGt7UaHLTJHOkNhDWfGda1Rv6kiy/Ytm0bnn32WTF86MMPP8TevXtx9913e60NjsZAyEb8lrVG6MoZCRDK0kyLDhHrFZ5qHF0OJlCYyPw8UtMNhuWwNCsW89NjPNe4EcRbaxE6UyOyaxIZRoGxdVmQEYOfrMzGPZfk4deXz8YHd63AL9fnQ05TGDDxD0KX+VlCGYGMOOnSE8fre6DWDiJSJcelc6Y5/Hywn8/Ggmgjjad1IWq7CMuyaGxsdGmhZjBAdJFmorooZDRuvzgHAPB/B+tgZryj69E6Pm5+QUYMQpWurdUaLj3hnIdwLG1qOnmjMjcpwuVaUyEKGZZYjdldJ5rw3F7+Bvo3m2Z7NJ27u/CnYykjLgw3X8TXJXxmd5XThazdgZDBT/A8+5MuvuD666/HI488giuvvBKpqal46qmn8OmnnyI313sh5Y7GQMhGLNS1W5VnH10w3epBbPFxfVVPMpH5KSRrEeq4eguhOL3GGYNQyDA6gRqEgGu6KGQ07l2fhw/uWoGCtCgsmR6L2U6WPvI2gkGoHlGc/r/FagDAFfNTxryGBvv5bCyINtJ4WhdiEBIIfsoPlmQgIUKFlt5Br6VtP2Yt6L48Z3Sa7PEQMo3Wu1B6whG1XULJiYndKAn1CP95uB6DZgbLc+LEUgoE1/j52hmICpGjql2P/1lvdryB6CG03ngRgNtvvx3V1dVobW3FyZMnsWrVKl83CcBw6QmBkWt+02J4L29r7xAIw3QbrOGYEUqv/q5gEDpT2kgsSj9BD+FEmJcejU/vWYX377wIMto3xefHI1PCQ9hvtODzMj4E+HuL0yU/RyD4K8QgdBGapjF9+nTiyh4B0UWayegSopDhp6uyAQB/P1jrce8Mx3E4WsuvH5yQQZjgWnH6sbRxlGHUWYR1hACgktN45tr5LnsafYW/HUsxYUr8fC2fyOS5vdVeW9ParOWfvAs3Xv6mSzDiaAzmpg4nHJqZHDkqqVSaNexXHUAews6+IfQODBtUE5mf4vo8LxpbwLBB6EzIaLee3ychcmJGa6Aetxlx/Jxu1g4bhHvPtmPAxGB6fNi4Sy4CVRd3QLSRxtO6ELVdhGVZ1NbWElf2CIgu0kxWlxuXT0d0qAJ1Xf34orzdza2zp1EzgPa+IShlNBZlurZ+EBj2EKq1A+jUj+8JGEubyXoIC9KiEWOttfXLDfliEeSpgD8eSzdflIW0mFC09w3h7aMNHv89juPEkFHhxssfdQk2HI1BYqQKSdaQwpHhosCwh7BFO3UNQjPD4oMSNR54rxSrn92PZX/4Gmv+fEAMk53I/NTY1PfzJrYho+Mli+qapIcwUI9bIalM74AZfUP8HPjUmiDo6gVp4z6ADFRd3AHRRhpP60IMwgmgUnn3ad5UgegizWR0iVDJseWiLAB8cWdPctSaXXQi6wcB/qZwUWYMWA7YfqTBqc8I2uw83oQ/7zmHfiNfyLVW9BBOzJCT0RT+et0C/OqymfjpyuwJfYcv8bdjKUQhw11r+bVqn55p8/jv9Q6YxRqc6bHDIaP+pksw4mgM1s9JhpymsNmamdYWwSDsNhi9mjXZnbx9tBG/fLcU759Si2GCvQNmnG7uFfdxdX5qhJDRcN94CI0WVkze4ohu6xrCxAmuIQQC87gNV8nF5DzNPQPQDZjxzXk+8dbm+SlOfUcg6uIuiDbSeFIXYhC6CE3TSE9PJ67sERBdpHGHLjcunw6KAk4393o0KYNQbmJ5ruvhogJ3ruFDC9852ig+NXWEoM2AmcVvPyzDS/trcMWLh7C7vB39JgZymhKTUUyENTOTcNeaGZDLptac9NdjacOcZADAGbUOnX2eXQsm3HAnRaoQohhOue2PugQTY43B766ai+MPX4JCidIuMWEKhFkfMrXppuY6wv1VnQCATfOmYfstS7F+Nn88VLTyhaonMj81/byxJRho3iJMKYNKzrdzvHWE3W7IMhqox226NZy9uWcAeyraYWY4zJoWibzkyHE/G8i6TBaijTSe1oWo7SIMw6C6uhoMMzWfcnoKoos07tAlMVKFpVl86m1PhY3arx+ceJrvS2YlIS8pAnqjBTuPN425r6BNaVMPhOWRDZoB3PWvYgDA9PgwKKaYMecO/PVYSooMQaG1OP2Bc54tQSGsy7FNKOOvugQTY42BQkY7XAtHUdSUDhsdMjM42cAn3LpvfT7WzEzCkiw+rL6ipQ+A6/OTZTnRGPN2yChFUaJ3azyDcLJlJwL5uM0UDcJBfHKmFQAkPeRSBLIuk4VoI42ndQm+u61JQlEUIiMjp0yCCm9BdJHGXbpcNpevZ7THQwZhfXc/OvVGKOUTWz8oQNMUbr+YDy18/XD9mOFhgjZnrDdUq/IS8J0FwxfTia4fnOr487G0dlYSAGCf1VviKZpGlJwA/FuXYGEyY5AqGIS9A+Ps6X8UN2lhtLBIjFQhz5roSsisKngIXdWmd9AsPgiL9bKH0PY3ewYcG4RmhkXvAB/pMVGjNZCPW6FG6unmXnxrfaB6pZPhooGsy2Qh2kjjaV2IQegiNE0jJSWFuLJHQHSRxl26XFbAG4QnG3ucStjiKsL6wYUZMWKI3kS5qjAVqdEh6NIb8cEY5TIEbc6o+RuqFTMS8NcfLsSL1y/EwswY3LB8+qTaMVXx52NpndUgPHS+C0aL557eNltrewk3XIB/6xIsTGYMhEyjLVOw9MSRGr4+64rcePFmTMis2qAZQN+Q2WVthIQyMWEKn0RCiKUnDI4NQmGNo4ymEBs28SyjgXrcCg+sdpe3gWE5zE+PdnqZQyDrMlmINtJ4WheitoswDIPKykriyh4B0UUad+mSGhOKwowYcBywt6LDTa0bZjLlJkailNP46aocAMCrY5TLELQRkjIUpscA4A3KD+5agYvzEyU/F+j487FUkBqNhAgV+k0MTtZrPfY7agcho/6qS7AwmTGYyiGjR2r48+NFNuVs4sKVSLWW16hs7XNZG7EGoQ+8g7a/O1bIqFCUPj5cCXqC9QAD+bgVzk/CJc5Z7yAQ2LpMFqKNNJ7WhRiELkJRFOLj44krewREF2ncqYsYNlrh3rBRjuPEgvQXTSKhjC0/XJaBmDAFGjQDDttLURQ4VSTadEOgKWB+erTkfsGGPx9LNE1h7UzeULcNG23uGcB9u0rEdVZjsaeiHS9+fR7sGHU1pYrS+7MuwcJkxiBtioaM9g2ZcUbdC4CPYrBlbhp/zipv7XNZGyGhjLdrEAo4EzI62YQyQGAft7Yh7QBwxXzn1g8Cga3LZCHaSONpXYhB6CI0TSMpKYm4skdAdJHGnbpcbg0bPVqrsSuIPFlqOg3oNhihktNYkBnjlu8MU8px3ZIMAMBBBwlIaJqGelAOAMhLikS4Su6W357q+PuxdMlsPmx0/zneIBwyM7hjxyl8eLoVv3r/DCyM4xpJugEz7t1Vgue/rHa4DpFhOdGLZHvD5e+6BAOTGYPhkNGp5SE8XscnvcpOCBeNWgFxHWGLzmVthHBMbyeUEYh3ImRUrEE4iZITgXzcpkSHQGb1nC6ZHjtqfoxFIOsyWYg20nhaF6K2izAMg/LycuLKHgHRRRp36pKVEI5Z0yJhYTl8edZ9YaPC+sElWbFQySe3ftCW2Sn8zVK9pl/yfYZh8FXJeQBAYQbxDgr4+7G0Mi8RChmF+u5+1HUZ8NRnlaho5RMD1Xf3j1mn8P1iNYbMvMH4ebn0fm26QVhYDgoZheSoEPF1f9clGJjMGAg3y+26IYdh5P6IuH5wxujoiQLrOsIKa8ioK9oIawi9XYNQIM76uxonQkYn4yEM5ONWLqORGsOfo1wJFwUCW5fJQrSRxtO6EIPQRSiKQkpKCnFlj4DoIo27dRGSy7gzbFRYP3ihG9YP2pKdwC+ub+iWNggpikKjntdFqnZZsOLvx1KESo5l2Xxpkkc/qsA7xxoBDCeceWl/jeQNP8ty2GHdFwC+PNshmZhGSCiTHhsmPn0H/F+XYGAyY5AcxXtTzAwnGhpTgeGEMgmj3pubxj/0qukywGhhXdKm22qIxfvIQxgXrgAAaJ0JGY2ceBsD/bi9e+0MbJybjO8uTnfpc4Guy2Qg2kjjaV08YhCq1Wq88sorWLhwIdasWSO5z8cff4zFixcjLS0NeXl5eOqpp8a0en/xi18gOjoa6enp4l9WVpYnmj8mNE0jPj6euLJHQHSRxt26XF7AP4X85nw3/rSnCg+8V4otb57Ah2Nk8xwLluXEgvQXumn9oECW1SDs1BthMFok9qBwtoM3FoWEMoSpcSytnckbf4etN8t3rsnFCz9cgKgQOWo6Ddgt4f37tlaD+u5+RKjkSIhQQT9kwbfWZB22NFvXD6bH2odfTQVdAp3JjIGMpjDN6vGdKusIO/uGcL7TAIqSPj9OiwpBfLgSDMuhurPfJW2GPYS+Mgh5r99YSWWExDeJk/AQBvpxe93STLx60xJEhihc+lyg6zIZiDbSeFoXt3/rwMAAVq9ejaKiIqSlpUnus3//fmzZsgUvvPACWlpasH//fuzcuRPPPvusw+9Vq9V45plnoFarxb+GhgZ3N39cGIZBaWkpcWWPgOgijbt1yU+OQHZCOEwWFi/vr8X7p9Q4cK4Lf/yiakLfd65DD+2AGWFKGea72SiLDlWI62OkvIS1nX3QD1mgktOYOS3Srb89lZkKx5LgDQT4tTP3b8hHZIgCP1mZDQB4aV/NqKQxbx9tAAB8d1EarpjHe7o/KxttOApF6UcmbJgKugQ6kx0DYR2heopkGj1Syz/wKEiNRoxE2QWKojDHuo6wrFnrkjbCGkJfJZURPISCYSpFl7XE0WTWEJLjVhqii2OINtJ4Whe3G4RhYWGoq6vDG2+8gSVLlkjuc/z4cfz617/GypUrAQDp6em444478N577zn83paWFmRkZLi7uS5D0zSmT59OnlyMgOgijbt1oSgKT36nAFfMT8FNy6fjF+tmAADa+4YmVBdOKKa7NCvOI7Wwsqw1meokDMIzLXoAwLy0aJ/U4fJXpsKxlJMYgdX5iciIC8WL1y+E3Dp+t1yUjQiVHFXteuy1Wefa2juIryr5/9+4fDoun8d7uvdWtMNksU9CI5VhFJgaugQ6kx2DdOs6wtYpUotwuNyE4+iJAmum0bPtepe0Edbu+dpD2DdkgdlBIqhuMfHN5DyE5LgdDdHFMUQbaTyti0/S+j300EOjXisrK0NUVJTDz6jVamRmZnqyWU5BURRiYmJ83Qy/g+gijSd0WTEjQUx/znEcXjtUj0Ezg9beIXHdnrOI6wfdHC4qkJ0QjqJGraSHUEjlTtYP2jNVjqW3f7IMLMvZ1SeLDlNgy0VZeGl/Df76VTUK0qKQHhuGf59oAssBy3PikJcciRyWQ0KECt0GI47WaexqTgohoxmx9gbhVNElkJnsGKROsdIT346xflBAzDTa2iepzX9PqfHMF1W495I83Lh8uvi6GDLqIw9hdKgCNMXX0NMOmJAUGTJqn243ZBklx600RBfHEG2k8bQuPje/OY7DM888g+3bt+O3v/2t5D4Mw6CjowN79+7FsmXLkJ2djauvvhoVFRUOv9doNKKvr8/uDwBYlhX/ldpmGGbMbYZhcOrUKVgsFvF1juNDoywWy6htjuNGbQv9tt0WXMC228Lvjbc92T6N7MdE+iToYjKZAqZP7hgnk8mE4uJimM1mj/QJGF5r1dzT71KfGJbD8frhhDKeGKeseP6mvr67f1Q/Spr4wuZzUyJ8Pk7+NPeEOWOxWPy+TzRNjerTT1ZkIVwpQ1W7Hque3Y+bXj+Ofx1vAsB7By0WC2Q0hcvmJgMAPj/TZtcnwUOYGRdm1w+z2YxTp06JbXKlTwT3wDAMiouLJx0yOhWK0/cNmdGq4z2Zi6bHOtxPyDRa1a7HiaJTNscdhz9+UYX73ytFl96Ij04Pr/M2WVj0DfHHtq/KTshoSgyD1fabR71vsrDoHeBfn2yW0cnMmUCF6OIYoo00ntbFJYOwq6vLLqnLyL/nn3/epR/v6enBlVdeiZdeegl79uzB+vXrJffTarVITU2FTCbD119/jXPnzmHFihVYvXo1WltbJT/z9NNPIzo6WvwTwk2FdYfNzc1obm4GANTX14vfU1tbi44OPrSpuroa3d38E8LKykpotVrQNA2O46DX8+FupaWlMBgMAICSkhIMDvIXuqKiIphMJjAMg6KiIjAMA5PJhKKiIgDA4OAgSkpKAAAGgwGlpaUAAJ1Oh/LycrHflZWVAIDu7m5UV1cDADo6OlBbWwsAaG1tRX19/aT6BADl5eXQ6XQT7hNN08jMzBT7EQh9csc4NTQ0IC8vD+3t7R7rk2AQ1nf2udSns638Gr4wBYW5qVEeGacQC9+muu5+uz6dKT+Ls238MRQ+1OXzcfKnuVdcXIy8vDwYjcYp2adwBfDPHy/G3AQ5OA44dL4bPf0mJEWqsCo7SuzTmhn8jfSes+3o7tGivLwcgyZGDFPLiAu161NXVxeUSiVomna5TwT3QNM08vLyJhyyNFyc3rsG4eHz3WLyLGcRjNbYMAUixqiRmhkXhgiVHCYLCzomFTRNY8BkwZ3/OoW/H6gV96vtGo6SEBK5yGkKUS4mI3EncdZwVU3/6HWEwmsymkJM6MTbONk5E6gQXRxDtJHG07pQnPBo1wM8/vjjOHDgAA4cODDqvfr6elxyySVYuXIl/va3vyE62vU6ZLNnz8a9996LO+64Y9R7RqMRRuPwSa6vrw8ZGRnQarWIiYkRnxzTNG23zTAMKIoad5umaVAUZbdtsVggk8nstgHeqrfdlsvl4hNxYZtlWchkMrttlmXBcdy421L9IH0Knj4Jqf/vWpOLX102y+k+vfFtI/7weRXWzUzEG7cs80ifzrb0YtPfjiAqRI7i314CmqZB0zSKGzS49v+OITZMgZMPrxPHI5DHKRj71KIz4j9FzTh4rgu3rc7BVYWpYp/MFgYXPL0PPf0mvP2TpViRG4+67gFs+Ms3iAyR48xjl4pe08n0yWAwIDo6GjqdbsxlCYFOX1+fz3Wo6TRg/fMHEa6Uofx3G72SVr60uRdXv3wEIQoaJY9cilClc7VWvzzbgdveLsK8tGh8cs/KMff9watHcaK+B9cvy4TJwuJgdSe6DSYoZTQev2ouHv6gDABQ/MgGxIUrUd6iw5V/O4ykSBVO/Eb6Qbg3ENr9t+sXYnNhqt17ZWodNr90GMlRKhx/2HdtJBAIk8PZc79PzG+dTocNGzbgnnvuwdtvv+2UMSgV+iNc8KVQqVSIioqy+wMgWtbCjenIbZlMNua2xWKxc9kKN0IAIJfLR21TFDVqG8CobeEmynabpmmntifbp5H9mEifLBaL6K0JlD65Y5w4jsPJkyfBsqzH+iR4CIWn7s72SVg/eJF1PaInxiknic8e2jdkQZ9xWIMzLbznMCuSEn/bl+PkT3MPAE6ePCkaTlO5T9Pjw/Hgxln49BercPWCNLtxUshl2DiXzza683gzaJoeTigTGyYaokI/WJYVQ2ld7RPBPVgsFpw8eVIMZXYVwUPYb2LQNzix73AFjuPwxKdnAQBDZha1XQanP9tizXYrtHkshHWE/z7RhP8Wq9FtMCExUoWdt12AH12QKX5HnfX3xYQyPlo/KCAk+WnUjF7j3WXgw2UnEy4KTH7OBCpEF8cQbaTxtC4+uVr++te/xqpVq/DLX/7Sqf3r6uqQnZ2NPXv2AOANwT/84Q/QaDS49tprPdnUUchkMsydO1e8SSHwEF2k8YYu6dbkG66kcjczLE7U9wDwXEIZAAhRyMSbofru4Zuxo9bwrVWz08icGUEwHUs/WJIOmgK+qGjH07ur7NYPjiSYdPFXJjsGoUqZmFVT7URimc/OtOGKFw+5ZMjZ8smZNpxq1Ir/r+l0/nuE8+nIephSbC5MRZhShtzEMPx0VTZ2/vQCHNm2Dkuy4gAAuUkRdr8vJJTx1fpBgXxruZ9zHaN16dZPPsMoQI5bRxBdHEO0kcbTuvjEINy9ezc++eQTyXWIarUaAOzWJObk5ODvf/87nnjiCaSlpSEpKQn79u3D119/jcTExLF+yu1QFIWwsDCvhLpMJYgu0nhDl+GkMs5n7jvVqEW/iUFMmAKzp3k2fCwrgb+5r7OuoWFYTix3sXZOCpkzIwimY2lhZiyeuXY+AOAf39ThtW/qAPDrB0cSTLr4K+4YA2cTy2gMRjz0vzOoaO3DRyUtY+4rxaCJwTOf8+trhTWA5zv1Tn9eiLhIc8IgXJQZi4rfbcTX96/Fb6+Yg4tmJEApH769yk3ksz8Lhq1Yg9BHJScEZibzBmF1+2hdutyQYRQgx60jiC6OIdpI42ldPGoQPm5dQziS+vp6dHd32xWZF/7S09MB8GUmtm7dKn5m06ZNOHLkCFpaWqDRaPDVV19hwYIFnmy+JBaLBceOHSOu7BEQXaTxhi5CvbZOvRFDZueyT31uLQi+YXYybMsGeAKhFEaDNSzpjLoX+iELokLkGGypInNmBMF2LP1gaQZ+e8VsABCzOkp5CINNF3/EHWOQGi3UIhzbIPzLV9XQWzNxVkt4sMbjtUN1aNUNITU6BHdb67Wed+F7hj2Eo+eiFAzDONQmN5H3EAqJZbqtCVuEWoC+QvAQ1nYZRtUD7dILXszJh4yS43Y0RBfHEG2k8bQuZIGFi8hkMixcuJC4skdAdJHGG7rEhikQZk2UMN5NFsB76HaXtwMANs1P8Vi7BLIT+JuhemstwsPn+QyWF+XGY/GiRWTOjCAYj6WfrsrBLy7JE/+f7iBkNNh08TfcMQZpseNnGq1q78NOa6kSwDXPHgC064bEDJ8PbZqNedbi8a6EjIoeQifWEAJjazNjVMiosIbQtx7C1OgQRKjksLCc+MBOoMtNYa3kuJWG6OIYoo00ntaFGIQTgExSaYgu0nhaF9vEMs6sIyxq6EGX3oioEPmYBZfdRY7VQyiEjB6yFntemZdA5owDglGXX67Pw4MbZ+LSOcm4MEd6XWsw6uJvTHYMxis9wXEcfv/pWbAcsDSLr//XoBmA0eJ87a0X953HoJnB4umx2Dw/BXlWg6xB0+/U9wyYLGJpCGdCRgUcaSN4CJu1AxgyM+J3+3oNIUVRyE/m23ZuRNjo2VY+8Zew/nEykONWGqKLY4g20nhSF2IQuohtzTDCMEQXabyliyuJZQTv4IY50+zWuXiKLKtB2KgZgMFoEQvSL8+OJXNGgmA9liiKws/XzsA/frwEIYrRF71g1cWfcMcYpIoG4ZDk+19VduJIjQZKGY3nvr8AkSFyMCyHhm7n1khrDEb89xSfi+DBjTNBURQSI1WIDlWA5YYfTI2FsL4xMkSOaCdr8I2lTUKEElEhfF3OBk2/mFQm3schowAw0xo2Wt0xbBBqDEYxomNRRuykvp8ct9IQXRxDtJHG07oQg9BFZDIZlixZQp5ejIDoIo23dBn2EI5908SyHHaX8+sHN82b5tE2CaTHhkJOUxg0M/j4dCvMDIf02FDkJEaSOSMBOZakCXZdKioqsGnTJqSnpyMzMxNbtmxBT0+PV9vgjjGYHs8/vKrp0I9at2ZmWDz1GV8m4tZV2ciMDxO9e7YGy1jsONYEo4XF/PRoXJDNZ/mkKEr8nvNOhI2qe11bPwiMrQ1FUXZho91+EjIKAPnWxDK2HkIhM2t+cgSiwyZelB4gx60jiC6OIdpI42ldiEE4AchTC2mILtJ4QxdnQ0ZPNWnR0WdEpEqOlXmeDxcFAIWMFpOEvH20AQCwKi9BLHBOGA3RRZpg1UWj0WDdunW4/PLL0dzcjHPnzmFoaAjXX3+919sy2TGYmRyJhAgl+k0MihrsDdrDNd1o0AwgLlyJn6/lE8EIBoszhtyQmcE7xxoAALeuzLbLxpdnDY2sccKwFM6jzq4fFBhLGyFstKbTAE2/exK2uAMx06iNLqesURyLp0/OOygQrMfteBBdHEO0kcaTuhCD0EUYhkFJSQmZrCMgukjjLV2GQ0bH9hCK2UXnJEMl997TNyFstMr6FHrljEQyZxxAdJEmmHUpLi7G2rVrcc8994CiKISGhuI3v/kN9u7dC51O57V2uGMMaJrCmplJAIB9VZ127+2t4MPZr5iXIpaKEDxr550w5D463YJugwmp0SHYNM8+YdaMJOcNyxYXahAKjKeNsBavvEWHITPvGfULD6E1ZLSxZwCDJr7txVYP4aLMyRuEwXzcjgXRxTFEG2k8rQsxCF1ELpdj+fLlkMvlvm6KX0F0kcZbuoi1CMfwELIsh91l/A3X5fM8n13UFqH0BABQFJ9hlMwZaYgu0gSzLhs2bMCuXbvsXisrK4NKpYJK5T0vk7vGYN2s0QYhw3LYW9EBANg4dzicPc+Bh5DjOLsEMRzH4Z+H6gEAW1ZkQSGzv71xKWTU+mDNFYNwPG0ED+GJet4rGqqQIUzp+7mcEKFCfLgSHMd7L00WFqVq/iGDOzyEwXzcjgXRxTFEG2k8rQsxCF2E4zgMDAyA4zhfN8WvILpI4y1dBA9h1xi1CEuatWjvG0KESo5VXgoXFbA1COelRSM2XEnmjAOILtIQXYbZs2cP7rzzTvz6179GSEiI5D5GoxF9fX12fwDAsqz4r9Q2wzAOtxmGwcDAACwWizgODMOI27avC9scx43aXpmXADlNoa67Hw3d/eA4Difru6HpNyE6VIEl06PFduUm8Oe2hu5+DBrN4utvHqnHzN9+gev/cQwHz3XgQHUXzncaEKGS4YfLMkf1KTdx+HuGTBbJ/gltb7EahGkxoU73ieM49Pf3w2zm28hxnPgkn+M4ZMfzxmWftbZifIQSLMuK+4zcnsw4SfVprHESwnIrW3tR3qKDycIiNkyB7IRwsX9SfXLUdttti8WCgYEBu3Z5o0+Oxklo+2T65I5xslgsMBgM4m8GQp/cNU5msxkDAwPi/AmEPrljnBiGEeeMq31yBmIQugjDMKioqCCu7BEQXaTxli6xYQqEW2sROkrn/rnVO3jJ7CTJLI6eJMfGIFw5gzdGyZyRhugiTaDq0tXVhfT0dId/zz//vLgvwzB4+OGHce211+L3v/89HnvsMYff+/TTTyM6Olr8y8jIAAA0NDQAAJqbm9Hc3AwAqK+vR2trKwCgtrYWHR28p666uhrd3XyZmMrKSmg0GlRUVKCsrEwMVS0tLYXBwHvdSkpKMDjIn3+KiopgMpnsMuOZTCYUFRUhKkSBxZm80bevqhMGgwE7DlQAAFblxOBcJZ9YRqvVQttSh0hrrbyDp/jXOzo68MahGgDA0ToNbn6zCLe/cwoAcPnMGESFKEb1iRrUiTX3Tte2iH3SavnwyPLycrFP9V18eGp6bJjTfWIYBmfOnEFJSQkAwGAwoLS0FACg0+nQ11oHhWx4TWN8uBLd3d2orq4W+1Rby9dObG1tRX19/YTHSapPY43TDKux/M2ZGhQ1aAAAOVF8MpzBwUGHfSovLxfHqbKyEgBG9ammpgYVFRVQq9Ve7ZOjcQIw6T65Y5zOnj2L06dPg2GYgOmTO8epoqIC/f39AdWnyY5TW1sbTpw4AYZhXO6TM1BckDxu7evrQ3R0NHQ6HaKionzdHALB7Wz8yzc416HHWz9ZhovzE0e9v+7PB1DX3Y+/37DI6yGjrb2DuOiZfQCAnT+9ABfN8K6HkhC8BMq5f2hoCNdeey26u7vxzjvvYObMmWPubzQaYTQaxf/39fUhIyMDWq0WMTEx4pNjmqbtthmGAUVR427TNC0mhhK2LRYLZDKZ3TbAG7K223K5HK99U4unPq/CqrwEvHXLUqx6dj9aeofw6o2LsH52EmQyGViWBcdx+N6rx1DS1IsXf1iIqxako6ajD+v/cggKGYXrl2bivVNqDJoZ0BRw4IGLkRkfIdmna/9+FKebe/HS9QtwZWEaGIbBp2faAIrClfOmgaZpGC0sZj3yBQCg+JENiFLRTvdJeMovbLMsC5lMJm5f9sJhMWR13awk/PPHi8FxnF1fhW2psfHUOL17qgW/+aAcq/LiEaFSYHd5Ox7YkIe7L8kft09SbfeHPk1mnEifSJ8CqU8Gg8GpayAJ0HURjuNgMBgQERFhl8Es2CG6SONNXdJjQ3GuQy+ZWKa5ZwB13f2Q0RRWeDlcFACmRYWgMD2aLxZtLTZN5ow0RBdpgl2Xm266CeHh4fjwww+hVI6fjMTR+kKapu3+Hbltm9J85DbHcdDr9XZjYLuP7dqW8bbXzU7GU59X4XhdD042aNHSO4QQBY3V+UnidwrtykuKQElTL2q7+HPb11VdAIDlOfF44jsF+OWGfPyvpAUZsaHIjI9w2Ke8pAicbh7+nvJWPe59l39CvyhzLTLiwtBqjbAIU8oQG6awm2tj9cl2fgK8d034XWE7NzFCNAjjw5UOx8CZ7bHGabztkW2fJdYiHF5fuTQ7Xmy7sL9Un8Zrr9Sc8UafxtqebJ9c2XbUXpqmxfkSKH1y1zjJZDJxzgRKn9wxThRFob+/HxERES73yRlIyKiLsCyL8+fPuxSXGwwQXaTxpi5jlZ745jx/A7Uwgw+n8jY0TeGju1fii3tXi9lNyZyRhugiTTDr8p///Afl5eXYsWOHU8agp3DnGOQkhGN6fBhMDIvHP+FDQS/OT0SocvRNzHDpCT6U86tKPgxqw5xkAEBsuBK3rszGpXPHrq1q+z0cx+Hp3ZXie3vP8t8phNynxYS69ODBGW2EjKkAEO8HJScEhMQ9HX1GdPQZIacpzE+Pcct3B/NxOxZEF8cQbaTxtC7EIHQRmUyGRYsWkYKZIyC6SONNXYZLT4w2CA+e4w1CqVBSb0LTwzdYZM5IQ3SRJph12b17N9RqNXJzc0etMXzvvfe81g53jgFFUVhrLT9R2cYnvLmsQNqgGy49YYDGYBQLp6+fnezSb85IHq4FeOBcF47VDddBFEpeqCdQcgJwTpvcpOG11Al+UHJCICpEgdTo4eREc1OjJA3ziRDMx+1YEF0cQ7SRxtO6EIPQRTiOQ29vL8l0NwKiizTe1GXYQ2gfMmpmWHxbyycKWO1jg9AWMmekIbpIE8y6vPnmm9Dr9VCr1aP+vv/973utHe4eg0tmJ4nbcprCupnSBp7gwarv7seeig6wHG+0pLpYOF4oPVHX1Y9ndlcBAK6Yz6+nPtnQg55+k1iDMM1Fg9AZbYTSE4B/1CC0RahHCACL3FSQHgju43YsiC6OIdpI42ldiEHoIizLorGxkbiyR0B0kcabuggewuYeew9hSVMvDEYLYsMUKEiL9ng7nIXMGWmILtIQXXyPu8dgWXYcwqyeqAtz4xEdJh3OnhodgnClDBaWw+uH6wAMh4u6Qmp0KMKUMpgYFuc69IgKkeOp7xRgTkoUWI4PRR2uQRjm0nc7o42dQRjuPyGjADAzedggdEf9QQFy3EpDdHEM0UYaT+tCDEIXkclkKCwsJK7sERBdpPGmLoKHsNtgX4vwm2o+XHRVXiJktP8k4yBzRhqiizREF9/j7jFQyWVi2OfmwlSH+1EUhRlWg6W2qx+A6+GiAB+ybruO7661MxATpsRG69rDvRUddmsIXcEZbcJVcrEET0acawanp8n3kEFIjltpiC6OIdpI42ldiEHoIizLQqPRkCcXIyC6SONNXWLCFIhQ8dmrbNcRHrQahP4ULgqQOeMIoos0RBff44kx+P13CvDWT5bh+4vTx9wv38aQS4sJxdzUiZUQEQzClOgQbLkoCwBw6VzeuDx0vgt1VoPT1TWEzmrzjx8vxptbliLbpjarP7AgMwY0xeuTEu1a38eCHLfSEF0cQ7SRxtO6EIPQRTiOQ1tbG4ltHgHRRRpv6kJRlHgT06jhb2o0BiPKW/lCqqt9UG5iLMickYboIg3Rxfd4YgyiQxW4OD9x3IyeecnDBuH62UkTLj1yzcI0pMWE4snvFCBEwT9pnzUtEhlxoTBaWGj6TQAmtobQGW1mJEVi7aykMffxBbmJEXjvjgvx5palbv1ectxKQ3RxDNFGGk/rQuoQuohMJkNBQYGvm+F3EF2k8bYus6ZFoqpdj99+WI7shHCUtejAccDslCgkRYWM/wVehMwZaYgu0hBdfI8vxyDPJqRx/QTWDwqsykvEkYfW2b1GURQunTMNrx+uBwCo5DQSXSwLEQjzc/H0OLd/ZyDo4gmILo4h2kjjaV2Ih9BFWJZFZ2cncWWPgOgijbd1eejy2chNDEebbgg/ePUY/nW8CQCwOt+/vIMAmTOOILpIQ3TxPb4cg7mpUVDKaSREqHCBtWi6O9loU8PQ1RqEAJmfjiC6SEN0cQzRRhpP6+IRg1CtVuOVV17BwoULsWbNmlHv9/T08OFtI+opvfjiiw6/s7e3F7fffjtycnKQkpKCLVu2QKfTeaL5Y8JxHDQaDXFlj4DoIo23dZkWHYJ3b78Qc1Ki0G0w4kQ9X2fr4jz/Wj8IkDnjCKKLNEQX3+PLMUiKDMF/77gI791xIZRy99+6LJ4ei7hwvhSEq+GiAJmfjiC6SEN0cQzRRhpP60Jxbv7mgYEBFBQUYM2aNejs7ITBYMCBAwfs9jlz5gw2bNiAjo4Op793/fr1SEpKwhtvvAEAuOWWW6DX6/Hpp5869fm+vj5ER0dDp9MhKmpii9EJhKmCbtCMW948geKmXoQqZDj92Aao5CRjFyH4IOd+HqLD+Pzq/VL8p0iNGy7IxFPXzPN1cwgEAmHSOHvud/tjtrCwMNTV1eGNN97AkiVLJPdpaWlBRkaG09955MgRHDx4EH/9618REhKCkJAQvPDCC9izZw/Kysrc1XSnYFkWbW1txJU9AqKLNL7SJTpUgXduvQC3rMjCH64t8EtjkMwZaYgu0hBdfE+gj8HWDTPxowsycduqHJc/G+jaTBSiizREF8cQbaTxtC4+WUOoVquRmZnp9P779u3D0qVLkZQ0nJkrKSkJy5Ytw+7duz3RRIdwHAe9Xk9c2SMgukjjS13CVXI8tnkurlk4djp3X0HmjDREF2mILr4n0MdgWnQI/nDNPGRNoCREoGszUYgu0hBdHEO0kcbTuvjEIGxpaQHDMLjpppuQl5eHwsJCPPvss7BYLA73T00dXbQ2NTUVLS0tkp8xGo3o6+uz+wMgWtYsy0puMwwz5rZMJkNubi5omhZfFwbHYrGM2uY4btQ2gFHbDMOM2mZZ1qntyfZpZD8m0ieZTIa8vDxx30DokzvGCQDy8/NBUVTA9Mld40RRFPLz88XfDoQ+uWOcOI5Dfn4+aJoOmD65Y5woikJubi5kMpnLfSK4B5lMhvz8fFIwWgKijTREF2mILo4h2kjjaV1cMgi7urpGJYKx/Xv++eed+h6WZdHV1YVt27ahuroa7777Lt5++2088sgjkvsrFArRALOFoiiHlvLTTz+N6Oho8U8IUW1oaAAANDc3o7m5GQBQX1+P1tZWAEBtba24trG6uhrd3d0AgMrKSmi1WrAsi+PHj0Or1QIASktLYTAYAAAlJSUYHOQLghcVFcFkMoFhGBQVFYFhGJhMJhQVFQEABgcHUVJSAgAwGAwoLS0FAOh0OpSXlwMAtFotKisrAQDd3d2orq4GAHR0dKC2thYA0Nraivr6+kn1CQDKy8vFJD0T6RPLsqivr0dxcXHA9Mkd41RTUwO1Wg21Wh0wfXLXOGk0GqjVapSVlQVMn9w1Tmq1Gv39/QHVp8mOU1tbG0pKSsCyrMt9IrgHlmWhVquJoS0B0UYaoos0RBfHEG2k8bQubk8qY8vjjz+OAwcOjEoqI8W7776Le++9F+3t7aPe++Mf/4hPPvkEhw8ftnt95cqV2Lx5M7Zt2zbqM0ajEUajUfx/X18fMjIyoNVqERMTIwpK07TdtuC5cLQN8DcaOTk5kMlkYBgGNE2DoijRU2a7DfBPqm235XK5+ERc2Ba8j7bbLMuC47hxt6X64UqfhG2hHxPpE03TqKurQ2ZmJpRKZUD0yR3jxDAMmpqaMH36dNA0HRB9ctc4cRyHxsZGZGZmQi6XB0Sf3DFOZrMZzc3NyMrKAsdxAdEnd4yTxWJBfX09cnNzxfO6M30yGAwkmQrck1RGePCXnZ0t+ZA2mCHaSEN0kYbo4hiijTQT1cXZc7/PDEKWZe06tHPnTtx///1oa2sbte/p06exbNkytLW1IT6erz+k1Woxbdo0nDhxAoWFheO2hWRYIxAIhOCDnPt5iA4EAoEQfPgsy6gz3H333bjpppvEUKTz58/jiSeewG233Sa5/4IFC7B27Vrcd999MBqNGBoawt133421a9c6ZQy6E5Zl0djYSFzZIyC6SEN0cQzRRhqiizREF99DxsAxRBtpiC7SEF0cQ7SRxtO6+MQgfPLJJxEfH4+FCxciJSUF69evx/XXX4/HHntM3GfkmsR3330XNE0jJycHOTk5kMvl2LVrly+aTyAQCAQCgUAgEAgBgUdDRv0JEi5DIBAIwQc59/MQHQgEAiH4cPbcL/dim3yKYPcK5ScmCsuyaGhoQFZWFlnsagPRRRqii2OINtIQXaSZqC7COT9Inn06xB3XQDI3HUO0kYboIg3RxTFEG2k8fQ0MGoNQr9cDgFh+gkAgEAjBg16vR3R0tK+b4TPINZBAIBCCl/GugUETMirUroqMjBTLR0wEoXxFc3MzCbuxgegiDdHFMUQbaYgu0kxUF47joNfrkZqaGtRPm91xDSRz0zFEG2mILtIQXRxDtJHG09fAoPEQ0jSN9PR0t31fVFQUmagSEF2kIbo4hmgjDdFFmonoEsyeQQF3XgPJ3HQM0UYaoos0RBfHEG2k8dQ1MHgflxIIBAKBQCAQCARCkEMMQgKBQCAQCAQCgUAIUohB6CIqlQqPPfYYVCqVr5viVxBdpCG6OIZoIw3RRRqii+8hY+AYoo00RBdpiC6OIdpI42ldgiapDIFAIBAIBAKBQCAQ7CEeQgKBQCAQCAQCgUAIUohBSCAQCAQCgUAgEAhBCjEICQQCgUAgEAgEAiFIIQahC2zfvh0FBQVIT0/HsmXLcOTIEV83yeu8/vrrmDt3LtLS0jB79mz84x//sHvfaDTioYcewowZM5Camoqrr74ara2tPmqtb1Cr1YiLi8OWLVvE14JZl/r6elx99dVIS0tDSkoKrrvuOrS1tYnvB6s2BoMB999/P7Kzs5Geno65c+fipZdeEt8PFl1YlsWxY8dw//33Iy4uDtu3b7d73xkdWlpacN111yErKwtpaWnYunUrTCaTF3sRHJBrILkGOgO5BtpDroHSkGugf13/iEHoJDt27MDDDz+M999/H2q1Gtu2bcMVV1yB+vp6XzfNa7zzzjt4/PHH8Z///ActLS343//+h0cffRT//ve/xX1+/vOf4/jx4zh16hSampqQl5eHyy+/HAzD+LDl3oPjONx8882jCkAHqy69vb1Yu3YtNm/eDLVajbq6OigUCrz44oviPsGqzY9//GOUlZWhqKgIarUau3btwtNPPy1qEyy6vPnmm/jFL36B0NBQyGSyUe+Pp4PJZMKGDRuQmZmJ2tpaVFRUoLi4GFu3bvV2VwIacg0k10BnINdAe8g10DHkGuhn1z+O4BQzZszgnnvuObvXNm/ezG3dutVHLfI+d911F7dz506717Zu3cpdc801HMdxXGNjI0fTNHfq1CnxfaPRyMXHx3Mff/yxV9vqK/70pz9xGzdu5B577DHu5ptv5jguuHV59NFHuSuvvNLuNYvFIm4HszYhISHcRx99ZPfafffdx23evDlodZk+fTr35ptviv93RocdO3Zw8fHxnMlkEvc5deoUp1KpuK6uLq+1PdAh10ByDXQGcg20h1wDHUOugfb4+vpHPIRO0NzcjJqaGlx55ZV2r2/evBm7d+/2Uau8z8svv4zrr7/e7rWysjJERUUBAA4ePIjk5GQsWrRIfF+pVGLjxo1BoVNpaSmeeeYZvPLKK3avB7MuH3/8MTZt2mT3mu1TsGDWZsmSJfjoo4/AsiwAPnxm//79WL16dVDrYoszOuzbtw+XXnopFAqFuM+iRYsQFxeHffv2eb3NgQi5BvKQa+DYkGvgaMg10DHkGjg23r7+EYPQCVpaWgAAqampdq+npqaK7wUbZrMZ99xzD44ePYoHHngAAK/TSI2A4NBpaGgIN9xwA5555hnk5OTYvRfMupw/fx4xMTG47bbbkJ2djXnz5uHJJ5+ExWIBENzavPfee+jt7cX8+fNxxx13YM2aNbjjjjtw//33B7Uutjijg6N90tLSgkorT0KugaMh10B7yDVQGnINdAy5Bo6Nt69/xCB0AsHypml7uSiKAsdxvmiST2lqasKqVavw9ddf4/DhwygoKADA6zRSIyA4dPrVr36F3Nxc/PSnPx31XjDrwjAMnnzySdx4442oq6vD+++/j127dmHbtm0AglubtrY2tLe3Y8WKFbjgggsQFRWFjz76CG1tbUGtiy3O6EC08jzkGmgPuQaOhlwDpSHXQMeQa+DYePv6RwxCJxAWR4/M7NPa2oq0tDRfNMlnnDp1CkuXLsXKlStRUlKCwsJC8b309HTJDFCBrtPevXvx7rvv4rXXXpN8P1h1AYDMzEz87Gc/w8UXXwyKojBz5kw88sgjePvttwEErzZ9fX3YsGEDHnzwQbz66qu45ZZbsG/fPuTk5OCGG24IWl1G4owORCvPQ66Bw5Br4GjINdAx5BooDbkGjo+3r3/EIHSC5ORkFBYW4vPPP7d7fc+ePbjssst81Crv09TUhE2bNuGll17Cn//8Z6hUKrv3161bh87OTpw5c0Z8zWKxYN++fQGt0+eff47Ozk4kJyeDoihQFIXf/e53eOutt0BRFGiaDkpdAGDVqlUwGo2jXhfmTrDOmaqqKmg0GqxZs8bu9Y0bN+L48eNBq8tInNFh48aN+PLLL8UQLACoqKhAV1cX1q1b5/U2ByLkGshDroHSkGugY8g1UBpyDRwfr1//XM2CE6zs3LmTS0tL486dO8dxHMd98MEHXFRUFFdTU+PjlnmPyy+/nHv88cfH3OdnP/sZd8kll3A6nY6zWCzcgw8+yM2dO5czm81eaqV/YJthjeOCV5fz589zqamp3IEDBziO47iGhgZuzpw53COPPCLuE4za6PV6Likpibvnnnu4/v5+juN4bZYvXy5mLAxGXUZmWeO48XUwm83c3LlzuYceeoizWCxcb28vt3btWu7222/3QQ8CF3INJNdAVyDXQB5yDZSGXANH4+vrHzEIXeD//u//uLy8PC4lJYVbsmQJ98033/i6SV4FAJeUlMSlpaWN+hMYGhri7rvvPi4tLY2bNm0ad9VVV3HNzc0+bLVvGHkxDGZdDhw4wC1btoxLTEzkcnJyuCeeeMLuhB6s2lRVVXHXXXcdl56ezqWkpHA5OTnctm3bOIPBwHFccOoidUF0Rofm5mbuqquu4lJSUri0tDTuvvvu44aGhrzY8uCAXAPJNdBZyDVwGHINlIZcA+3x9fWP4rggWZ1JIBAIBAKBQCAQCAQ7yBpCAoFAIBAIBAKBQAhSiEFIIBAIBAKBQCAQCEEKMQgJBAKBQCAQCAQCIUghBiGBQCAQCAQCgUAgBCnEICQQCAQCgUAgEAiEIIUYhAQCgUAgEAgEAoEQpBCDkEAgEAgEAoFAIBCCFGIQEggEAoFAIBAIBEKQQgxCAoFAIBAIBAKBQAhSiEFIIBAIBAKBQCAQCEEKMQgJBAKBQCAQCAQCIUghBiGBQCAQCAQCgUAgBCn/D5rzBc+VxphCAAAAAElFTkSuQmCC
" alt="figure"></div>
<div class="colab-figure"><img decoding="async" 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
" alt="figure"></div>
<h2><span id="toc6">4. GridSpec：柔軟レイアウトと比率</span></h2>
<p>「左に縦長、右上に横長、右下に小さめ」のような不均等レイアウトはGridSpecで実現します。<code>width_ratios</code>と<code>height_ratios</code>を指定すると、幅・高さの比率をコントロールできます。</p>
<pre class="language-python"><code class="language-python">import matplotlib.pyplot as plt
import matplotlib.gridspec as gridspec

# 図全体（Figure）を作成します。
fig = plt.figure(figsize=(9, 6))

# GridSpecを定義します。
# 3行2列の仮想グリッドを作成します。
# figure=figで、このGridSpecがどのFigureに紐づくかを指定。
# width_ratios=[3, 2]は、2つの列の幅の比率を「3:1」にすることを意味します。
# つまり、1列目が3の幅、2列目が1の幅になります。左のグラフを大きく見せるため比率を調整。
# height_ratios=[2, 1, 1]は、3つの行の高さの比率を「2:1:1」にすることを意味します。
# これにより、右上のグラフを他の右側のグラフより少し大きく見せます。
gs = gridspec.GridSpec(3, 2, figure=fig, width_ratios=[3, 2], height_ratios=[2, 1, 1])

# fig.add_subplot()を使って、GridSpecで定義した領域にサブプロットを追加します。
# gs[:, 0]は「全ての行の0列目」を意味し、左側に縦長のサブプロットを作成します。
ax_left = fig.add_subplot(gs[:, 0])  # 左縦長グラフ
# gs[0, 1]は「0行目（一番上）の1列目（右側）」を意味し、右上のサブプロットを作成します。
ax_right_top = fig.add_subplot(gs[0, 1])  # 右上グラフ
# gs[1, 1]は「1行目（中央）の1列目（右側）」を意味し、右中央のサブプロットを作成します。
ax_right_middle = fig.add_subplot(gs[1, 1])  # 右中央グラフ
# gs[2, 1]は「2行目（一番下）の1列目（右側）」を意味し、右下のサブプロットを作成します。
ax_right_bottom = fig.add_subplot(gs[2, 1])  # 右下グラフ

# 各サブプロットにデータをプロットし、タイトルやラベルを設定します。
ax_left.plot(y1)
ax_left.set_title(&quot;グラフ1 (左縦長、大きく)&quot;)
ax_left.set_xlabel(&quot;ステップ&quot;)
ax_left.set_ylabel(&quot;累積和&quot;)
ax_left.grid(True, linestyle=&quot;:&quot;, alpha=0.7)

ax_right_top.plot(y2, color=&quot;C1&quot;)
ax_right_top.set_title(&quot;グラフ2 (右上、やや大きく)&quot;)
ax_right_top.set_xlabel(&quot;ステップ&quot;)
ax_right_top.set_ylabel(&quot;累積和&quot;)
ax_right_top.grid(True, linestyle=&quot;:&quot;, alpha=0.7)

ax_right_middle.plot(y3, color=&quot;C2&quot;)
ax_right_middle.set_title(&quot;グラフ3 (右中央)&quot;)
ax_right_middle.set_xlabel(&quot;ステップ&quot;)
ax_right_middle.set_ylabel(&quot;累積和&quot;)
ax_right_middle.grid(True, linestyle=&quot;:&quot;, alpha=0.7)

ax_right_bottom.plot(y4, color=&quot;C3&quot;)
ax_right_bottom.set_title(&quot;グラフ4 (右下)&quot;)
ax_right_bottom.set_xlabel(&quot;ステップ&quot;)
ax_right_bottom.set_ylabel(&quot;累積和&quot;)
ax_right_bottom.grid(True, linestyle=&quot;:&quot;, alpha=0.7)

# グラフのタイトルやラベルが重ならないように、レイアウトを自動的に調整します。
# constrained_layout=Trueを使うと、suptitleなどのFigureレベルの要素も考慮して
# 賢くレイアウトを調整してくれるため、ここではtight_layoutの代わりに推奨されます。
# ただし、GridSpecではfig作成時にconstrained_layout=Trueを指定できないため、
# fig.set_layout_engine(&#x27;constrained&#x27;)を使います。
fig.set_layout_engine(&#x27;constrained&#x27;)
# 全てのグラフを表示します。
plt.show()</code></pre>
<div class="colab-figure"><img decoding="async" 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
" alt="figure"></div>
<p>width_ratiosとheight_ratiosを指定すると、幅・高さの比率をコントロールできます。</p>
<h2><span id="toc7">5. 図全体タイトルと凡例</span></h2>
<p>「複数のグラフに共通するタイトルや凡例は、各グラフ（Axes）ごとではなく、図全体（Figure）に対して設定することで、まとめて管理できます。」</p>
<p>「全体に共通するタイトルや凡例は、個々のグラフに設定するのではなく、それらをまとめる大きな『図（Figure）』に対して設定することで、効率よく配置・制御できます。」複数のAxesにまたがるタイトルや凡例は、Figure側のAPIを使うと一括制御できます。</p>
<pre class="language-python"><code class="language-python"># matplotlib.pyplotとnumpyは既にインポート済みであることを前提とします。

# 2行1列のサブプロットを作成します。figsize=(9,6)で図全体のサイズを指定。
# ここではy軸を共有する必要がないので、shareyは指定しません。
fig, axs = plt.subplots(2,1, figsize=(9,6))

# プロットするデータと、各サブプロットのタイトル、凡例のラベルを用意します。
y_data = [y1, y2]
plot_titles = [&quot;グラフ１&quot;, &quot;グラフ２&quot;]
subplot_legend_labels = [&quot;系列 1&quot;, &quot;系列 2&quot;]

# forループを使って、各サブプロットにデータをプロットし、設定を行います。
for i, ax in enumerate(axs):
    # y_data[i]をプロットし、各系列のラベルも設定します（後の全体凡例で利用）。
    ax.plot(y_data[i], label=subplot_legend_labels[i])
    # 各サブプロットのタイトルを設定します。
    ax.set_title(plot_titles[i])
    # x軸ラベルとy軸ラベルを設定します。
    ax.set_xlabel(&quot;ステップ&quot;)
    ax.set_ylabel(&quot;累積和&quot;)
    # 各サブプロットの凡例をグラフの左上に表示します。
    ax.legend(loc=&quot;upper left&quot;)
    # グリッド線を追加します。
    ax.grid(True, linestyle=&quot;:&quot;, alpha=0.7)

# 図全体のタイトルを設定します。
# y=1.03は、タイトルを少し上にずらして配置するための調整です。
# fontsizeでフォントサイズを指定します。
fig.suptitle(&quot;ランダムウォークデータの比較&quot;, y=1.03, fontsize=16)

# 図全体の凡例を作成します。
# まず、各サブプロットから凡例のハンドル（線の情報）とラベルを取得し、それらを結合します。
handles, overall_lgnd_labels = [], []
for ax in axs:
    h, l = ax.get_legend_handles_labels()
    handles += h
    overall_lgnd_labels += l

# 図全体の凡例をサブプロットの下に配置します。
# loc=&quot;lower center&quot;で下中央に配置。
# ncol=4は凡例を4列で表示。
# frameon=Trueは凡例の周りに枠を表示。
# bbox_to_anchor=(0.5, -0.1)は、凡例の位置をより細かく調整するための座標です。
# (0.5, -0.1)は「図の幅の50%位置（中央）、図の高さの-0.1倍（図の下端よりさらに下）」を意味します。
fig.legend(handles, overall_lgnd_labels, loc=&quot;lower center&quot;, ncol=4, frameon=True,
           bbox_to_anchor=(0.5, -0.1))

# タイトルと図全体の凡例のためのスペースを確保するようレイアウトを調整します。
# rect引数は、図の中でグラフが描画される領域を正規化された座標で指定します。
# [left, bottom, right, top]の順で、
# [0, 0.05, 1, 0.95]は「下から5%の場所から、上から5%の場所まで」にグラフ領域を確保し、
# タイトルと凡例が重ならないようにします。
plt.tight_layout(rect=[0, 0.05, 1, 0.95])
# 全てのグラフを表示します。
plt.show()</code></pre>
<div class="colab-figure"><img decoding="async" 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
" alt="figure"></div>
<h2><span id="toc8">6. レイアウトのコツ</span></h2>
<p>ここまでの知識を使って、複数のグラフを効果的に配置するためのいくつかの「コツ」をご紹介します。これらのポイントを押さえることで、よりプロフェッショナルで分かりやすい図を作成できます。</p>
<ul>
<li>  <strong>一貫性：軸のスケールやフォーマットはできるだけ揃える (<code>sharex</code>/<code>sharey</code>)</strong></li>
<li>  複数のグラフを比較する際、X軸やY軸の範囲がバラバラだと、データの増減や大小を正確に読み取るのが難しくなります。</li>
<li>  <code>sharex=True</code>や<code>sharey=True</code>を使うことで、軸の目盛りや範囲が自動的に揃えられ、グラフ間の比較が格段にしやすくなります。</li>
</ul>
<ul>
<li>  <strong>余白最適化：<code>tight_layout</code>か<code>constrained_layout</code>、保存時は<code>bbox_inches=&quot;tight&quot;</code></strong></li>
<li>  グラフのタイトル、軸ラベル、凡例などが重なってしまうと、見た目が悪く、情報が読み取れません。</li>
<li>  <code>plt.tight_layout()</code>や<code>constrained_layout=True</code>を使って、自動で適切な余白が確保されるようにしましょう。</li>
<li>  グラフを画像ファイルとして保存する際も、<code>plt.savefig(&#x27;ファイル名.png&#x27;, bbox_inches=&quot;tight&quot;)</code>と指定すると、余白が適切に調整されてきれいに保存できます。</li>
</ul>
<ul>
<li>  <strong>比率設計：重要なグラフを大きく (<code>GridSpec</code>の<code>width_ratios</code>/<code>height_ratios</code>)</strong></li>
<li>  伝えたい情報の中で、特に強調したいグラフは大きく、補足的なグラフは小さく配置するなど、情報の重要度に応じてサイズを調整することが有効です。</li>
<li>  <code>GridSpec</code>の<code>width_ratios</code>（幅の比率）や<code>height_ratios</code>（高さの比率）を使うことで、このような柔軟なサイズのグラフ配置が可能になります。</li>
</ul>
<ul>
<li>  <strong>視線誘導：左上→右下へ流れる自然な並べ方に</strong></li>
<li>  人間は一般的に左上から右下へと視線を動かして情報を読み取ります。この特性を活かし、最も重要な情報を左上に、次に重要な情報をその右や下に配置するなど、自然な視線の流れに沿ったレイアウトを意識すると、見る人にとって理解しやすい図になります。</li>
</ul>
<h2><span id="toc9">まとめ</span></h2>
<p>この記事では、Matplotlibを使って複数のグラフを効果的に表示するための様々なテクニックを学びました。主要なポイントをもう一度確認しておきましょう。</p>
<ul>
<li>  <strong>比較しやすさ重視なら<code>sharex</code>/<code>sharey</code></strong></li>
<li>  複数のグラフでX軸やY軸の範囲を揃えたいときは、<code>plt.subplots()</code>の引数に<code>sharex=True</code>や<code>sharey=True</code>を指定しましょう。</li>
<li>  これにより、データ間の相対的な比較が非常にしやすくなります。</li>
</ul>
<ul>
<li>  <strong>均等配置は<code>subplots</code>、不均等は<code>GridSpec</code></strong></li>
<li>  <code>plt.subplots(nrows, ncols)</code>を使えば、同じサイズのグラフをグリッド状にきれいに並べられます。</li>
<li>  「左に大きく、右に小さく」といったように、グラフのサイズや位置を自由に組み合わせたい場合は、<code>GridSpec</code>を使うことで柔軟なレイアウトが可能です。<code>width_ratios</code>や<code>height_ratios</code>で比率も調整できます。</li>
</ul>
<ul>
<li>  <strong>余白は<code>tight_layout</code>か<code>constrained_layout</code>で自動調整</strong></li>
<li>  グラフのタイトル、ラベル、凡例などが重なって見にくくなるのを防ぐため、<code>plt.tight_layout()</code>を呼び出すか、図の作成時に<code>constrained_layout=True</code>を設定しましょう。</li>
<li>  これにより、グラフ間の適切な余白が自動的に確保され、見栄えが向上します。</li>
</ul>
<ul>
<li>  <strong>図全体の見出しや凡例は<code>suptitle</code>/<code>fig.legend</code>で管理</strong></li>
<li>  個々のサブプロットではなく、図全体に対してタイトルを付けたい場合は<code>fig.suptitle()</code>を使います。</li>
<li>  複数のグラフにまたがる凡例をまとめて表示したい場合は<code>fig.legend()</code>を使うことで、図全体の情報を整理して提示できます。</li>
</ul>
<p>これらの機能を使いこなすことで、目的に応じて最適なグラフレイアウトを作成し、データを効果的に伝えることができるようになります。</p>

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<style> .related-box { border: 2px solid #0073aa; border-radius: 10px; padding: 1em 1.2em; margin-top: 2em; background: #f8faff; } .related-box h3 { margin-top: 0; color: #0073aa; } .related-box ul { list-style-type: none; margin: 0; padding: 0; } .related-box li { margin: 0.4em 0; } .related-box a { text-decoration: none; color: #333; } .related-box a:hover { text-decoration: underline; color: #0073aa; } </style> <div class="related-box"> <h3><span id="toc10">関連記事</span></h3> <ul> 
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  <li><a href="https://pythondatalab.com/category/pandas/basic/">◀ Pandas DataFrame入門：基本構造と作り方</a></li>
  <li><a href="https://pythondatalab.com/category/pandas/aggregation/">◀ groupbyとconcatでデータを集計・変形する方法</a></li>
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<h3 class="rank-math-question "><span id="toc11">❓複数グラフを表示するには plt.subplots() と GridSpec のどちらを使えばよいですか？</span></h3>
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<p><strong>基本的には <code>plt.subplots()</code> が推奨</strong> です。行列レイアウトが明確で分かりやすく、一般的な 2×2・1×3 などの配置は <code>subplots</code> で十分です。<br /><strong>複雑な比率（例：上段を大きく、下段を細かく分割）を作りたい場合にのみ <code>GridSpec</code> を使う</strong> と効率的です。</p>

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<h3 class="rank-math-question "><span id="toc12">❓fig, ax = plt.subplots() で得られる ax の扱いがわかりません</span></h3>
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<p><code>ax</code> は <strong>Axes オブジェクト（1つのグラフ領域）</strong> を指します。<br />複数グラフを作る場合、<code>ax</code> は <strong>NumPy 配列の形になる</strong> ため、<br />1行2列 → <code>ax[0], ax[1]</code><br />2行2列 → <code>ax[0,0], ax[0,1], ax[1,0], ax[1,1]</code><br />のようにアクセスします。</p>

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<h3 class="rank-math-question "><span id="toc13">❓sharex や sharey を使うメリットは何ですか？</span></h3>
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<p><strong>軸を共有して比較しやすくなること</strong> です。<br />例えば、複数の折れ線グラフで横軸のスケールを揃えたいときに便利です。<br /><code>plt.subplots(nrows=2, sharex=True)</code> のように設定すると、ズレのない読みやすいグラフになります。</p>

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<h3 class="rank-math-question "><span id="toc14">❓複数グラフの余白が詰まって見づらいのですが？</span></h3>
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<p><code>plt.tight_layout()</code> を使うと自動で余白調整できます。<br />さらに細かく調整したい場合は <code>fig.subplots_adjust(wspace=0.3, hspace=0.4)</code> を使うと、グラフ間隔を任意に設定できます。</p>

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<h3 class="rank-math-question "><span id="toc15">❓GridSpec を使うと何ができますか？</span></h3>
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<p>GridSpec を使うと、<strong>行・列の比率を柔軟に変更できる</strong> ため、<br />上段を大きく、下段を2つに分割<br />左側に細い縦グラフ、右に大きいメイングラフ<br />ダッシュボード風の複雑なレイアウト<br />といった <strong>subplots では再現しにくい構造</strong> が簡単に作れます。</p>

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<h3 class="rank-math-question "><span id="toc16">❓複数グラフでタイトルが全体にかぶります。どうすればよいですか？</span></h3>
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<p><code>fig.suptitle("タイトル", y=1.02)</code> のように <strong>y位置を調整</strong> すると、タイトルが上部に移動して重なりを防げます。</p>

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<h3 class="rank-math-question "><span id="toc17">❓画像サイズが揃わないのですが？</span></h3>
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<p><code>figsize=(10, 6)</code> のように <strong>Figure 全体のサイズを統一</strong> すると、複数グラフでも見た目が揃います。<br />ブログや資料での見やすさが大きく改善します。</p>

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</div><p>&lt;p&gt;The post <a rel="nofollow" href="https://pythondatalab.com/matplotlib-subplots-gridspec-layout/">Matplotlib 複数グラフの作り方：subplots / GridSpec / 共有軸を完全ガイド（実務レイアウト例つき）【第８回】</a> first appeared on <a rel="nofollow" href="https://pythondatalab.com">Python Data Lab（Pythonデータラボ）</a>.&lt;/p&gt;</p>
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		<title>Matplotlib 配色とカラーマップ徹底解説：データ可視化を「伝わるグラフ」に変えるPython術【色覚バリアフリー対応【第７回】</title>
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		<pubDate>Sat, 15 Nov 2025 15:58:22 +0000</pubDate>
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					<description><![CDATA[<p>Matplotlibで「伝わるグラフ」を作るための配色・カラーマップ術を解説。基本の色指定から、連続値データの活用、LogNorm/TwoSlopeNorm、色覚バリアフリーなデータ可視化まで網羅。 Colab 第7回  [&#8230;]</p>
<p>&lt;p&gt;The post <a rel="nofollow" href="https://pythondatalab.com/matplotlib-colormap-colorbar-accessibility/">Matplotlib 配色とカラーマップ徹底解説：データ可視化を「伝わるグラフ」に変えるPython術【色覚バリアフリー対応【第７回】</a> first appeared on <a rel="nofollow" href="https://pythondatalab.com">Python Data Lab（Pythonデータラボ）</a>.&lt;/p&gt;</p>
]]></description>
										<content:encoded><![CDATA[
Matplotlibで「伝わるグラフ」を作るための配色・カラーマップ術を解説。基本の色指定から、連続値データの活用、LogNorm/TwoSlopeNorm、色覚バリアフリーなデータ可視化まで網羅。
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<p>あなたの<strong>データ可視化</strong>、本当に「伝わって」いますか？ もし、作成したグラフが「なんとなく見にくい」「メッセージが弱い」と感じるなら、それは<strong>配色</strong>に課題があるかもしれません。<strong>Matplotlib</strong>を用いた<strong>データ可視化</strong>において、<strong>配色</strong>はメッセージを強力に伝える核心的な要素です。このガイドでは、<strong>Matplotlib</strong>で<strong>伝わるグラフ</strong>を作成するための<strong>配色術</strong>を徹底解説します。基本的な<strong>色の指定</strong>方法から、<strong>連続値カラーマップ</strong>と<strong>Normalize</strong>による高度な<strong>Pythonグラフ</strong>表現、さらにはすべての人に情報が届く<strong>色覚バリアフリー</strong>なデザインまで、実践的なアプローチを分かりやすくご紹介します。</p>

<h2><span id="toc1">この記事で学べること：Matplotlibの配色術で「伝わるグラフ」を作る</span></h2>
<oi>
  <li>1.  <strong>Matplotlibの基本的な色の指定</strong>：単色やカテゴリごとの<strong>カラーコード</strong>（色名、16進数、RGB、カラースキーム）を<strong>Pythonグラフ</strong>で設定する方法。 </li>

  <li>2.   <strong>連続値データのカラーマップとMatplotlib Normalize</strong>：数値のグラデーションによる<strong>連続値表現</strong>と、<strong>Normalize</strong>で色の範囲を固定し、<strong>データ可視化</strong>の比較可能性を高める方法。 </li>

  <li>3.   <strong>LogNorm</strong>と<strong>TwoSlopeNorm</strong>の活用：極端な値やゼロ中心のデータ分布に対応した<strong>効果的な配色</strong>術。 </li>
  <li>4.   <strong>Matplotlib colorbarの使い方</strong>：<strong>データ可視化</strong>における色の凡例として、カラーバーを正しく設定・調整する方法。 </li>
  <li>5.   <strong>グラフ色識別</strong>の強化：色だけでなく<strong>ハッチ</strong>やマーカーを用いて、複数の<strong>カテゴリ</strong>を明確に区別する工夫。 </li>
  <li>6.   <strong>色覚バリアフリーグラフ</strong>の基本：<strong>アクセシブルデータ可視化</strong>を実現するための<strong>配色</strong>とデザインの原則。 </li>
</ol>

<h2><span id="toc2">1. Matplotlibの基本的な色の指定：単色からカテゴリ色まで</span></h2>
<p>Matplotlibで<strong>Pythonグラフ</strong>に<strong>色を指定</strong>する方法はいくつかあります。これにより、グラフの要素を明確に区別し、<strong>データ可視化</strong>の効果を高めることができます。例えば、</p>
<ul>
<li><strong>色の名前</strong>で指定する（例：「blue」、<a rel="noopener" href="https://matplotlib.org/stable/gallery/color/named_colors.html/" target="_blank">List of named colors</a>)</li>
<li>ウェブで一般的な<strong>16進数カラーコード</strong>（例：「#FF7F0E」、<a rel="noopener" href="https://www.colordic.org/" target="_blank">原色大辞典</a>)を使用する、</li>
<li>光の三原色を示す<strong>RGBタプル</strong>（例：「(0.2, 0.7, 0.3)」）で指定する、つまり、赤、緑、青の各要素が、それぞれの最大強度（1.0）に対してどれだけの割合（0.0～1.0）で含まれているかを指定する、</li>
<li>Matplotlibが提供する<strong>カラースキームのインデックス</strong>（例：「C0」「C1」など。<a rel="noopener" href="https://matplotlib.org/stable/users/explain/colors/colors.html" target="_blank">Specifying colors</a>)</li>
</ul>
<p>を利用することが可能です。これらはすべて、<strong>Matplotlib カラーコード</strong>として利用できる基本的な方法です。<strong>特に複数のカテゴリを色分けする際には、<code>tab10</code>や<code>Paired</code>といった</strong>カテゴリカルカラーマップ<strong>を<code>cmap</code>引数に指定することで、</strong>色覚バリアフリー<strong>にも配慮した識別しやすい色を自動で割り当てることができます。</strong>（<a rel="noopener" href="https://matplotlib.org/stable/gallery/color/colormap_reference.html" target="_blank">Colormap reference</a>）

<pre><code class="language-python">import matplotlib.pyplot as plt

!pip install japanize-matplotlib &gt; /dev/null # Google Colab の機能を使って日本語フォントをインストール・インポート
import japanize_matplotlib

fig, ax = plt.subplots()
ax.plot([0,1,2],[1,3,2], color=&quot;steelblue&quot;, label=&quot;色名&quot;) # 色名で指定
ax.plot([0,1,2],[2,2,3], color=&quot;#ff7f50&quot;, label=&quot;16進数&quot;) # 16進数で指定
ax.plot([0,1,2],[1.5,1.8,2.5], color=(0.2, 0.7, 0.3), label=&quot;RGB&quot;) # RGBタプルで指定
ax.plot([0,1,2],[2.6,1.6,2.0], color=&quot;C3&quot;, label=&quot;カラースキーム&quot;) # カラースキームのインデックスで指定
ax.plot([0,1,2],[3.2,0.8,1.5], color=plt.cm.tab10(4), label=&quot;tab10(4)&quot;) # カテゴリカルカラーマップのインデックスで指定
ax.legend()
ax.set_title(&quot;色の指定いろいろ&quot;)
plt.show()</code></pre>

<p><img decoding="async" 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
" alt="図"></p>

<h2><span id="toc3">2. 連続値データのカラーマップとNormalize：Pythonグラフでの高度な配色</span></h2>
<p>データが連続的な数値（例：温度、標高、頻度など）である場合、その数値の大小や変化を色のグラデーションで表現すると、パターンや傾向を一目で把握しやすくなります。<strong>Matplotlib</strong>でこのような<strong>連続値表現</strong>を<strong>Pythonグラフ</strong>で行うには、主に<strong><code>c</code></strong>（色用の配列）、<strong><code>cmap</code></strong>（<strong>カラーマップ</strong>）、そして<strong><code>Normalize</code></strong>（正規化）の3つの要素を組み合わせて使います。これらは<strong>データ可視化</strong>において、<strong>伝わるグラフ</strong>を作成するための重要な技術です。
<a rel="noopener" href="https://matplotlib.org/stable/gallery/color/colormap_reference.html" target="_blank">カラーマップはこちら</a></p>
<h3><span id="toc4">2.1. c引数：連続値カラーマップに割り当てる数値データ</span></h3>
<p>グラフ上の各データポイント（散布図の点やヒートマップのセルなど）に、どの数値を基に色を付けるかを指定します。例えば、散布図で点の高さ（y軸の値）に応じて色を変えたい場合は、<code>c</code>引数にそのy軸の値の配列を渡します。</p>
<h3><span id="toc5">2.2. cmap：Matplotlibカラーマップの選び方と利用</span></h3>
<p><strong><code>cmap</code></strong>は<strong>Matplotlibカラーマップ</strong>の略で、入力された数値の大小を特定の色（グラデーション）に変換するための「設計図」のようなものです。例えば、<code>viridis</code>という<strong>カラーマップ</strong>は、小さい値を濃い紫に、大きい値を明るい黄色に対応させます。<code>jet</code>のような虹色の<strong>カラーマップ</strong>もありますが、<strong>データ可視化</strong>の誤解を招きやすいため、<code>viridis</code>や<code>plasma</code>などの「知覚的に均一な（Perceptually Uniform）」<strong>カラーマップ</strong>が推奨されます。<strong>Matplotlib viridis</strong>は特に<strong>色覚バリアフリー</strong>の観点からも優れています。</p>
<h3><span id="toc6">2.3. Normalize：Matplotlib Normalizeで色の範囲を正確に制御</span></h3>
<p><strong><code>Normalize</code></strong>は、<code>c</code>で指定された数値データを、<strong>カラーマップ</strong>が扱う標準的な範囲（通常は0から1）に変換する役割を持ちます。特に重要なのは、<strong><code>Normalize(vmin=最小値, vmax=最大値)</code></strong>のように、色のマッピングに使われる<strong>値の最小値（<code>vmin</code>）と最大値（<code>vmax</code>）を明示的に指定できる点</strong>です。<strong>Matplotlib Normalize</strong>の利用は、<strong>再現性の高いグラフ</strong>作成に不可欠です。</p>
<ul>
<li><strong>なぜ<code>Normalize</code>が重要か？</strong></li>
<p>*   <strong>再現性</strong>: <code>vmin</code>と<code>vmax</code>を固定することで、データの値が多少変わっても、同じ値は常に同じ色で表現されます。これにより、複数の<strong>Pythonグラフ</strong>間での比較や、時間経過による変化の追跡が非常にしやすくなります。 *   <strong>一貫性</strong>: 異なるデータセットや異なるプロットであっても、同じ<code>vmin</code>と<code>vmax</code>を使って<code>Normalize</code>を設定すれば、色の意味合いを統一できます。 *   <strong>解釈のしやすさ</strong>: ユーザーが<strong>カラーバー</strong>を見たときに、色がどの数値範囲に対応しているのかを正確に理解できます。</p>
</ul>
<p>これらの要素を組み合わせることで、<strong>どのデータポイント（<code>c</code>）を、どのような色のグラデーション（<code>cmap</code>）で、どの数値範囲（<code>Normalize</code>）に基づいて表現するか</strong>を細かくコントロールし、データのメッセージをより効果的に伝えることができるのです。</p>

<pre><code class="language-python">import numpy as np
import matplotlib.pyplot as plt

!pip install japanize-matplotlib &gt; /dev/null # Google Colab の機能を使って日本語フォントをインストール・インポート
import japanize_matplotlib

from matplotlib import cm, colors

np.random.seed(0)
x = np.linspace(0, 10, 150)
y = np.sin(x) + np.random.normal(scale=0.2, size=len(x))
val = (y - y.min()) / (y.max() - y.min())  # データを0〜1の範囲に収まる（＝正規化）

norm = colors.Normalize(vmin=0, vmax=1)  # 値範囲を固定
cmap = cm.viridis  # 色覚配慮の推奨CMAP

fig, ax = plt.subplots()
sc = ax.scatter(x, y, c=val, cmap=cmap, norm=norm, s=60, alpha=0.8) #s=60,alpha=0.8:色のサイズと透明度を設定
ax.set_title(&quot;連続値の色分け（Normalize指定）&quot;)
cbar = plt.colorbar(sc, ax=ax) # カラーバーは後述
cbar.set_label(&quot;正規化された値 (0-1)&quot;)
plt.show()</code></pre>

<p><img decoding="async" 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
" alt="図"></p>

<h3><span id="toc7">2.4. 推奨と非推奨：viridisとjetカラーマップ比較</span></h3>
<p><strong>データ可視化</strong>において、<strong>カラーマップの選定</strong>は非常に重要です。<code>jet</code>のような古典的な虹色<strong>カラーマップ</strong>は、色の変化が知覚的に均一でないため、データの大小関係を誤解してしまう可能性があります。例えば、途中の特定の色が実際よりも強調されて見えたり、逆に変化が分かりにくくなったりすることがあり、これは「知覚的な変化が等しくない」ことを意味します。このため、一般的に<strong>jet cmap は避ける</strong>べきとされています。</p>
<p>一方、<strong><code>viridis</code></strong>は「知覚的に均一な（Perceptually Uniform）」<strong>カラーマップ</strong>と呼ばれ、色の変化が数値の増減と釣り合っているため、データが正しく伝わります。また、<strong>色覚多様性を持つ方にも配慮されており</strong>、すべての人にとって情報が分かりやすいという利点があります。このため、<strong>Matplotlib viridis</strong>は<strong>色覚バリアフリーグラフ</strong>を作成する上で強く推奨される<strong>カラーマップ</strong>です。同じデータでこの<strong>カラーマップ比較</strong>の効果を見てみましょう。</p>

<pre><code class="language-python">fig, axes = plt.subplots(1, 2, figsize=(12, 5))

# viridis カラーマップ
sc1 = axes[0].scatter(x, y, c=val, cmap=cm.viridis, norm=norm, s=60, alpha=0.8)
axes[0].set_title(&quot;viridis (推奨)&quot;)
plt.colorbar(sc1, ax=axes[0], label=&quot;正規化された値 (0-1)&quot;)

# jet カラーマップ
sc2 = axes[1].scatter(x, y, c=val, cmap=cm.jet, norm=norm, s=60, alpha=0.8)
axes[1].set_title(&quot;jet (非推奨)&quot;)
plt.colorbar(sc2, ax=axes[1], label=&quot;正規化された値 (0-1)&quot;)

plt.tight_layout()
plt.show()</code></pre>

<p><img decoding="async" 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
" alt="図"></p>

<h2><span id="toc8">3. 特殊なデータ分布への対応：LogNormとTwoSlopeNorm</span></h2>
<p><strong>データ可視化</strong>において、<strong>データ分布</strong>には様々な形があり、ただ均等に色を割り当てるだけでは、データの特徴が見えにくくなることがあります。</p>
<p>例えば、</p>
<ul>
<li><strong>値の範囲が極端に広い場合</strong>：ごく小さな値から非常に大きな値までが混在しているとき。</li>
<li><strong>特定の値にデータが集中している場合</strong>：多くのデータがある範囲に固まっていて、外れ値が少しだけ離れているとき。</li>
<li><strong>ゼロを基準に正負に広がる場合</strong>：増減や偏差のように、プラスの値とマイナスの値が混在していて、ゼロが意味を持つ基準点であるとき。</li>
</ul>
<p>このような特別な<strong>データ分布</strong>の場合には、<strong>Matplotlib</strong>の<strong>配色</strong>スケーリング方法を工夫することで、よりデータの変化を<strong>効果的な配色</strong>で表現し、見る人に正確な情報と深い洞察を提供できます。それが<strong><code>LogNorm</code></strong>や<strong><code>TwoSlopeNorm</code></strong>といった特別な<strong>Normalize</strong>の出番です。</p>

<h3><span id="toc9">3.1. 対数スケールで表現：Matplotlib LogNormの活用</span></h3>
<p><strong>データ可視化</strong>においては、ごく小さな値から非常に大きな値まで、桁違いに幅広い範囲に分布しているデータ（例えば、地震のマグニチュードや、ある現象の発生頻度など）がしばしば存在します。このようなデータを通常の（線形の）スケールで<strong>配色</strong>しようとすると、小さな値の変化はほとんど見えず、大きな値ばかりが強調されてしまいます。</p>
<p>そこで役立つのが<strong><code>LogNorm</code></strong>（対数正規化）です。<strong>Matplotlib LogNorm</strong>は、データの値を直接色に変換するのではなく、一度「対数」という尺度に変換してから色を割り当てます。対数に変換すると、値が10倍、100倍、1000倍と大きく変化しても、スケール上では同じ間隔として扱われるため、<strong>小さい値の微妙な変化も、大きな値の変化も、どちらも平等に色の違いとして表現できるようになります。</strong></p>
<p>例えるなら、0〜1000の範囲で、0〜10と900〜1000の変化を、同じ色のグラデーションの幅で表示できるようになるイメージです。これにより、データ全体の傾向や隠れたパターンを見つけやすくなり、<strong>効果的な配色</strong>を実現します。</p>

<pre><code class="language-python">import numpy as np
import matplotlib.pyplot as plt

!pip install japanize-matplotlib &gt; /dev/null # Google Colab の機能を使って日本語フォントをインストール・インポート
import japanize_matplotlib

from matplotlib import colors

# 0に近い値〜大きな値までを同じ図で見たい
z = np.random.lognormal(mean=0.0, sigma=1.0, size=(60, 90))

fig, ax = plt.subplots()
im = ax.imshow(z, cmap=&quot;magma&quot;, norm=colors.LogNorm(vmin=max(z.min(), 1e-3), vmax=z.max()))
plt.colorbar(im, ax=ax, label=&quot;対数スケール値&quot;) # より詳細な日本語ラベルに変更
ax.set_title(&quot;LogNorm（対数スケール）&quot;)
plt.show()</code></pre>

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
" alt="図"></p>

<h3><span id="toc10">3.2. ゼロ中心の配色：Matplotlib TwoSlopeNorm</span></h3>
<p>データの値が、増減や偏差のようにゼロを基準にプラス（正）とマイナス（負）の両方に広がる場合、<strong><code>TwoSlopeNorm(vmin, vcenter, vmax)</code></strong>が非常に便利です。例えば、平均からの「差」や、基準年からの「変化率」などを<strong>データ可視化</strong>する際に役立ちます。この機能により、<strong>Matplotlib TwoSlopeNorm</strong>は、<strong>効果的な配色</strong>を可能にします。</p>
<p>通常の<strong>カラーマップ</strong>では、最小値から最大値までを一律にグラデーションで表現するため、ゼロ点が必ずしも明確に表現されるとは限りません。しかし、<strong><code>TwoSlopeNorm</code></strong>を使うと、<strong><code>vcenter</code>引数で「中央となる値」を指定できる</strong>ため、この中央値を色のグラデーションの基準点（例えば、中立的な白や灰色）として明確に設定できます。</p>
<p>これにより、</p>
<ul>
<li><strong>ゼロからの変化</strong>: プラス方向の変化とマイナス方向の変化が、異なる色合い（例：暖色系と寒色系）で視覚的に区別しやすくなります。</li>
<li><strong>変化の度合い</strong>: ゼロから離れるほど色が濃くなるように設定することで、変化の大小が一目で理解できるようになります。</li>
</ul>
<p>このように、<strong><code>TwoSlopeNorm</code></strong>は、ゼロを中心とした<strong>データ分布</strong>の特性を、より直感的かつ<strong>効果的な配色</strong>で伝えるための強力なツールです。</p>

<pre><code class="language-python">import numpy as np
import matplotlib.pyplot as plt

!pip install japanize-matplotlib &gt; /dev/null # Google Colab の機能を使って日本語フォントをインストール・インポート
import japanize_matplotlib

from matplotlib import colors

x = np.linspace(-3, 3, 200)
y = np.linspace(-3, 3, 200)
X, Y = np.meshgrid(x, y)
Z = X + np.sin(Y)  # 正負が混在するデータ

norm = colors.TwoSlopeNorm(vmin=Z.min(), vcenter=0.0, vmax=Z.max())

fig, ax = plt.subplots()
im = ax.imshow(Z, cmap=&quot;coolwarm&quot;, norm=norm, origin=&quot;lower&quot;)
plt.colorbar(im, ax=ax, label=&quot;ゼロからの偏差&quot;) # より詳細な日本語ラベルに変更
ax.set_title(&quot;TwoSlopeNorm（ゼロ中心の配色）&quot;)
plt.show()</code></pre>

<p><img decoding="async" 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
" alt="図"></p>

<h2><span id="toc11">4. カラーバーの正しい使い方：データ可視化における色の凡例</span></h2>
<p><strong>Matplotlibグラフ</strong>に色を使ってデータを表現する際、その「色が何を示しているのか」を説明するために欠かせないのが<strong>カラーバー</strong>です。<strong>カラーバー</strong>は、色のグラデーションがどの数値範囲に対応しているかを示し、<strong>データ可視化</strong>の情報を正しく読み取るための「凡例」のような役割を果たします。</p>
<p><strong>Matplotlib</strong>で<strong>カラーバー</strong>を追加するには、<code>plt.colorbar()</code>関数を使います。この関数には、<code>imshow</code>や<code>scatter</code>といった色付けされたプロットの戻り値（これを<strong>ScalarMappable</strong>と呼びます。つまり、色の情報を持つオブジェクトのことです）を渡します。これによって、<strong>カラーバー</strong>がどの色の情報に対応しているかをMatplotlibが理解し、適切に表示してくれます。</p>
<p>また、<strong>カラーバー</strong>の位置、サイズ、目盛りのラベルなども、オプション引数を設定することで細かく調整できます。この<strong>カラーバーの使い方</strong>を習得することで、<strong>伝わるグラフ</strong>作成に大きく貢献します。</p>

<pre><code class="language-python">import numpy as np
import matplotlib.pyplot as plt

!pip install japanize-matplotlib &gt; /dev/null # Google Colab の機能を使って日本語フォントをインストール・インポート
import japanize_matplotlib

from matplotlib import cm, colors

x = np.random.rand(100); y = np.random.rand(100); v = x**2 + y**2
norm = colors.Normalize(vmin=0, vmax=2); cmap = cm.plasma

fig, ax = plt.subplots(figsize=(5.5, 4))
sc = ax.scatter(x, y, c=v, cmap=cmap, norm=norm)
ax.set_title(&quot;colorbarの基本&quot;)

# 右側に縦で配置（既定）
cbar = plt.colorbar(sc, ax=ax)  # orientation=&quot;vertical&quot; が既定
cbar.set_label(&quot;値の強度&quot;) # より詳細な日本語ラベルに変更

# 下部に横で配置する例：
# cbar = plt.colorbar(sc, ax=ax, orientation=&quot;horizontal&quot;, pad=0.12, fraction=0.05, aspect=30)

plt.tight_layout()
plt.show()</code></pre>

<p><img decoding="async" 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
" alt="図"></p>

<h2><span id="toc12">5. グラフ色識別の強化：ハッチとマーカーでカテゴリを分ける</span></h2>
<p><strong>Matplotlibグラフ</strong>で複数の<strong>カテゴリ</strong>（商品の種類、地域、アンケートの回答など）を表現する際、色は基本的な<strong>データ可視化</strong>の手法です。しかし、色だけではカテゴリの数が多くなると区別が難しくなったり、<strong>色覚バリアフリー</strong>の観点から特定の色の組み合わせが見分けにくいといった課題が生じることがあります。</p>
<p>これらの<strong>グラフ色識別</strong>の課題を解決し、<strong>すべての人がグラフの情報を正確に読み取れる</strong>ようにするためには、<strong>色だけに頼らず</strong>、他の視覚的な要素と組み合わせることが非常に有効です。</p>
<p>例えば、棒グラフでは<strong>ハッチ（模様: 
<a rel="noopener" href="https://jp.matplotlib.net/stable/gallery/shapes_and_collections/hatch_style_reference.html" target="_blank">種類はこちら</a></strong>)を、散布図では<strong>マーカーの形</strong>（<code>marker=&quot;o&quot;,&quot;s&quot;,&quot;^&quot;</code>など:
<a rel="noopener" href="https://matplotlib.org/stable/gallery/lines_bars_and_markers/marker_reference.html" target="_blank">種類はこちら</a>
）を、線グラフでは<strong>線種</strong>（実線 <code>-</code>、点線 <code>--</code>、破線 <code>:</code>など:
<a rel="noopener" href="https://matplotlib.org/stable/gallery/lines_bars_and_markers/linestyles.html" target="_blank">種類はこちら</a> ）を併用することで、カテゴリの識別性を大幅に向上させることができます。これにより、色が区別しにくい状況でも、別の情報で各<strong>カテゴリ</strong>を識別できるようになり、より堅牢で分かりやすい<strong>Matplotlibグラフ</strong>を作成できます。</p>

<pre><code class="language-python">import matplotlib.pyplot as plt

!pip install japanize-matplotlib &gt; /dev/null # Google Colab の機能を使って日本語フォントをインストール・インポート
import japanize_matplotlib

import numpy as np

labels = [&quot;A&quot;,&quot;B&quot;,&quot;C&quot;,&quot;D&quot;]
values = [5, 7, 3, 6]
colors = [&quot;tab:blue&quot;,&quot;tab:orange&quot;,&quot;tab:green&quot;,&quot;tab:red&quot;]
hatches = [&quot;&quot;, &quot;//&quot;, &quot;\\&quot;, &quot;xx&quot;]  # 模様

fig, ax = plt.subplots()
bars = ax.bar(labels, values, color=colors)
for bar, h in zip(bars, hatches):
    bar.set_hatch(h)

ax.set_title(&quot;色とハッチで識別性を高める&quot;)
plt.show()</code></pre>

<p><img decoding="async" 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
" alt="図"></p>

<h2><span id="toc13">6. 色覚バリアフリー対応のグラフ：アクセシブル データ可視化の基本</span></h2>
<p>グラフを作成する際には、すべての人にとって情報が分かりやすいように「色覚バリアフリー」の視点を取り入れることが重要です。色覚の多様性を持つ方も含め、誰もがグラフから正しい情報を読み取れるようにするためのポイントを解説します。</p>
<ul>
<li><strong>推奨カラーマップの利用</strong>: <code>viridis</code>、<code>plasma</code>、<code>cividis</code> といったカラーマップは、色の変化が知覚的に均一で、かつ色覚多様性を持つ方にも配慮されています。これにより、色の濃淡がデータの大小関係を正確に伝えることができます。</li>
</ul>
<ul>
<li><strong>避けるべきカラーマップ</strong>: <code>jet</code>のような古典的な虹色のカラーマップは、特定の色が強調されて見えたり、色の変化が均一に感じられなかったりするため、データの誤解を招きやすいです。また、色覚多様性を持つ方には特に区別が難しい色の組み合わせが含まれることがあります。</li>
</ul>
<ul>
<li><strong>情報の重複表現</strong>: 色だけに頼らず、<strong>形（マーカーの種類）</strong>、<strong>線種（実線、点線など）</strong>、<strong>ハッチ（模様）</strong>など、複数の視覚要素を組み合わせて情報を伝達しましょう。これにより、色が区別しにくい場合でも、別の方法で情報を識別できるようになります。</li>
</ul>
<ul>
<li><strong>十分なコントラスト</strong>: 背景色とグラフの要素（線、棒、テキストなど）の間には、十分な<strong>明度差（明るさの差）</strong>を確保しましょう。色が似ていて見分けがつきにくいと、情報が伝わりにくくなります。</li>
</ul>
<ul>
<li><strong>グレースケールでの検証</strong>: グラフが白黒印刷されたり、グレースケールで表示されたりする場合でも、情報が正しく伝わるかを確認しましょう。濃淡だけでデータの区別ができるかを確認することで、どのような環境でも情報が失われない堅牢なグラフになります。</li>
</ul>

<h2><span id="toc14">7. Matplotlibカラーマップの応用例：ヒストグラムと複数グラフ</span></h2>
<p>カラーマップは単一のプロットだけでなく、複数のプロットや異なる視覚化タイプにわたってデータを効果的に表現するために利用できます。</p>

<h3><span id="toc15">7.1. ヒストグラムへのカラーマップ適用</span></h3>
<p>ヒストグラムの各棒にカラーマップを適用することで、頻度や他の数値に基づいて色のグラデーションを表現できます。これは、データの分布に追加の情報を視覚的に統合するのに役立ちます。例えば、<code>plt.hist</code>の<code>weights</code>や<code>c</code>引数を利用して、各ビンに色を割り当てることが可能です。<code>cmap</code>と<code>norm</code>を組み合わせることで、色の範囲を正確に制御できます。</p>

<pre><code class="language-python">import numpy as np
import matplotlib.pyplot as plt


!pip install japanize-matplotlib &gt; /dev/null # Google Colab の機能を使って日本語フォントをインストール・インポート
import japanize_matplotlib

from matplotlib import cm, colors

np.random.seed(42)
data = np.random.randn(1000) * 10 + 20 # 平均20、標準偏差10の正規分布データ

fig, ax = plt.subplots(figsize=(8, 5))

# ヒストグラムの計算
n, bins, patches = ax.hist(data, bins=20, density=True)

# Normalizeを作成（ここでは頻度に基づいて色付けする）
norm = colors.Normalize(bins.min(), bins.max())
cmap = cm.viridis

# 各棒に色を適用
for patch, x_val in zip(patches, bins):
    color = cmap(norm(x_val))
    patch.set_facecolor(color)

ax.set_title(&quot;ヒストグラムへのカラーマップ適用&quot;)
ax.set_xlabel(&quot;値&quot;)
ax.set_ylabel(&quot;密度&quot;)

cbar = fig.colorbar(cm.ScalarMappable(norm=norm, cmap=cmap), ax=ax)
cbar.set_label(&quot;ビン範囲の始点&quot;)
plt.tight_layout()
plt.show()
</code></pre>

<p><img decoding="async" 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
" alt="図"></p>

<h3><span id="toc16">7.2. 複数グラフでの一貫したカラーマップ適用</span></h3>
<p>複数のサブプロットや異なる種類のグラフ（例：散布図とヒートマップ）で同じデータセットや関連するデータを可視化する際、カラーマップの一貫性を保つことは比較を容易にし、誤解を防ぎます。</p>
<ul>
<li><strong>同じ<code>cmap</code>と<code>norm</code>オブジェクトを共有する</strong>: <code>cmap</code>と<code>norm</code>のインスタンスを一度作成し、それを複数のプロット関数に渡すことで、視覚的な一貫性を保証できます。</li>
<li><strong><code>vmin</code>, <code>vmax</code>を明示的に指定する</strong>: <code>Normalize</code>を使用する場合、すべてのプロットで同じ<code>vmin</code>と<code>vmax</code>を設定することで、カラーバーの範囲が一致し、色の解釈が統一されます。</li>
</ul>

<pre><code class="language-python"># 複数グラフでの一貫したカラーマップ適用例

import numpy as np
import matplotlib.pyplot as plt

!pip install japanize-matplotlib &gt; /dev/null # Google Colab の機能を使って日本語フォントをインストール・インポート
import japanize_matplotlib

from matplotlib import cm, colors

np.random.seed(1)
x_multi = np.random.rand(50)
y_multi = np.random.rand(50)
z_multi = x_multi * y_multi + np.random.rand(50) * 0.1

# 同じnormとcmapを定義
shared_norm = colors.Normalize(vmin=0, vmax=1)
shared_cmap = cm.plasma

fig, axes = plt.subplots(1, 2, figsize=(12, 5))

# 1つ目のサブプロット：散布図
sc1 = axes[0].scatter(x_multi, y_multi, c=z_multi, cmap=shared_cmap, norm=shared_norm, s=100, alpha=0.8)
axes[0].set_title(&quot;散布図 (一貫したCMAP)&quot;)
fig.colorbar(sc1, ax=axes[0], label=&quot;値&quot;)

# 2つ目のサブプロット：別のデータだが同じカラーレンジで表示
matrix_data = np.random.rand(10, 10)
# ここではmatrix_dataの範囲が0-1なので、shared_normがそのまま使える
im = axes[1].imshow(matrix_data, cmap=shared_cmap, norm=shared_norm, origin=&quot;lower&quot;)
axes[1].set_title(&quot;ヒートマップ (一貫したCMAP)&quot;)
fig.colorbar(im, ax=axes[1], label=&quot;値&quot;)

plt.tight_layout()
plt.show()
</code></pre>

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
" alt="図"></p>

<p>このように、<code>Normalize</code>と<code>cmap</code>オブジェクトを適切に管理することで、複雑な可視化でもデータの比較可能性と理解度を大幅に向上させることができます。</p>

<h2><span id="toc17">まとめ：Matplotlib配色とカラーマップで伝わるグラフへ</span></h2>
<ul>
<li><strong>連続値の配色</strong>：データの数値の範囲を<code>Normalize</code>で固定することで、グラフ間の比較がしやすくなり、常に同じ値が同じ色で表現されるため、<strong>再現性の高いグラフ</strong>が作成できます。</li>
<li><strong>LogNorm/TwoSlopeNorm</strong>：データの分布が極端に広かったり（<code>LogNorm</code>）、ゼロを基準に正負に広がっている場合（<code>TwoSlopeNorm</code>）には、これらの特別な正規化を使うことで、<strong>データの特徴をより効果的に可視化</strong>できます。</li>
<li><strong>カラーバーの正しい使い方</strong>：<code>plt.colorbar()</code>には、色情報を持つオブジェクト（<code>ScalarMappable</code>）を渡すことで、<strong>色が何を示しているかを明確</strong>にできます。また、位置やラベルの調整も重要です。</li>
<li><strong>カテゴリの識別</strong>：複数のカテゴリがある場合、色だけに頼らず、<strong>ハッチ（模様）</strong>、<strong>マーカーの形</strong>、<strong>線種</strong>などを組み合わせることで、<strong>グラフの識別性を大幅に向上</strong>させ、色覚多様性にも配慮できます。</li>
<li><strong>色覚配慮のカラーマップ</strong>：<code>viridis</code>のような<strong>知覚的に均一なカラーマップを基本</strong>にすることで、すべての人にとって分かりやすく、データが誤解なく伝わるグラフを作成できます。</li>
</ul>
</div>

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<p>&lt;p&gt;The post <a rel="nofollow" href="https://pythondatalab.com/matplotlib-colormap-colorbar-accessibility/">Matplotlib 配色とカラーマップ徹底解説：データ可視化を「伝わるグラフ」に変えるPython術【色覚バリアフリー対応【第７回】</a> first appeared on <a rel="nofollow" href="https://pythondatalab.com">Python Data Lab（Pythonデータラボ）</a>.&lt;/p&gt;</p>
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		<title>Matplotlib 軸・注釈・凡例の設定方法・見やすいグラフを作るコツ【第６回】</title>
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					<description><![CDATA[<p>Matplotlib軸ラベルや目盛りの設定、凡例の配置、annotate を使った注釈の追加方法を解説。わかりやすく説得力のあるグラフ作成のポイントを紹介します。 Colab Export 💡 Pandas DataFr [&#8230;]</p>
<p>&lt;p&gt;The post <a rel="nofollow" href="https://pythondatalab.com/matplotlib-axis-legend-annotate/">Matplotlib 軸・注釈・凡例の設定方法・見やすいグラフを作るコツ【第６回】</a> first appeared on <a rel="nofollow" href="https://pythondatalab.com">Python Data Lab（Pythonデータラボ）</a>.&lt;/p&gt;</p>
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Matplotlib軸ラベルや目盛りの設定、凡例の配置、annotate を使った注釈の追加方法を解説。わかりやすく説得力のあるグラフ作成のポイントを紹介します。
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<p>この記事は、Python を使ってデータ分析結果を分かりやすく伝えたいと考えている方、特に Matplotlib でグラフを作成する際に「どうすればもっと見やすくなるのだろう？」と感じている方を対象としています。同じデータでも、グラフの「軸・注釈・凡例」を少し整えるだけで、その印象は劇的に変わります。本記事では、Python の強力なグラフ描画ライブラリ <strong>Matplotlib</strong> を使って、見る人が一目で理解できる、プロフェッショナルなグラフを作成するための実践的なテクニックを徹底解説します。</p>
<p>Major/Minor 目盛りの設定から、数値フォーマット、注釈（annotate）の使い方、特定の領域の強調、そして凡例の最適な配置や装飾まで、コピペでそのまま使える豊富なコード例とともにご紹介します。</p>
<p>この記事を最後まで読めば、あなたのグラフ作成スキルが格段にアップし、データがより雄弁に語り始めるはずです！さあ、一緒に「伝わるグラフ」作りに挑戦しましょう！</p>
<h2><span id="toc1">この記事で学べること：Matplotlib グラフ作成の重要テクニック</span></h2>
<p>この記事を読むことで、Matplotlib を使ったグラフ作成において、以下の重要なスキルを習得できます。</p>
<p>1.   <strong>軸ラベル・単位・目盛り</strong>：グラフの基本情報を正確に伝える設定方法 2.   <strong>数値フォーマット</strong>：桁区切り、パーセント、指数など、データを分かりやすく整形 3.   <strong>注釈（annotate）</strong>：グラフの特定ポイントに解説を加えて理解を深める 4.    <strong>領域強調</strong>：<code>axvspan</code>, <code>axhspan</code> で重要な範囲を視覚的にハイライト 5.   <strong>凡例</strong>：複数データを整理し、見やすい位置に配置・装飾するテクニック</p>
<p>これらのテクニックをマスターして、あなたのグラフを次のレベルへ引き上げましょう！</p>
<h2><span id="toc2">1. グラフの第一印象を決める：軸ラベルと単位を明確に設定しよう</span></h2>
<p>グラフを見た人が最初に目を向けるのは、間違いなく軸です。ここに何がプロットされているのか、どんな単位で表されているのかを明確に示すことで、データの意味が一瞬で伝わります。</p>
<p>まずは、グラフの顔とも言える軸ラベルと単位の基本的な設定方法から見ていきましょう。</p>
<pre class="line-numbers"><code class="language-python">import matplotlib.pyplot as plt

!pip install japanize-matplotlib &gt; /dev/null # Google Colab の機能を使って日本語フォントをインストール・インポート
import japanize_matplotlib

x = [0, 1, 2, 3, 4]
y = [10000, 23000, 18000, 30000, 28000]

fig, ax = plt.subplots()
ax.plot(x, y)
ax.set_title(&quot;売上の推移&quot;)
ax.set_xlabel(&quot;月&quot;)
ax.set_ylabel(&quot;売上（円）&quot;)
plt.tight_layout()
plt.show()</code></pre>
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us9PT1x+fJlhIeHIycnBydOnDBu0+l0iIuLQ9++fQEAERER2LFjB3Q6nbHNqVOnkJubi/DwcGOb2NhYk2Ns27YN7dq1g4+PD3x8fBAaGlphm7Lj3MnOzg4uLi4mCxEREQDsOH0FB9KuwdZajvejWuPpdgp8NrQdjr7zFH4b0xUTngxEqNIVAHBSpcF/49Lw7FeH8OhHOzDhp+NYl5iJa/nF9zkKUcUkeyr2ypUrCA0NxRtvvIG3334bdnZ22LZtGwYOHIhNmzahd+/eeP3113Hu3DmsW7cOTk5OmDZtGmJjY/Hnn3/C2toaOp0O7dq1Q1RUFD766CPk5+fjmWeeQcuWLfH1118DANLS0vDoo49i5cqVGDhwIFJSUtCrVy8sWLAAw4YNAwD89NNPmDJlCuLi4tCyZUusX78e//nPf5CYmIgWLVrcty98KpaIiACgWKdH7wX7kH69EON6BWByRNBd2+bmFWNfai52p+RgX2ouNEX/DFLIZMAjSjf0CvJCryBvtFW4Qs7RvHqrKjlD0ulOLl68iLfffhvx8fEQQsDHxwdTp07F8OHDAfwzQfGaNWug1+vRuXNnLFq0CEql0riPzMxMjB07FkePHoVcLseQIUPw6aefmkyhEh8fj+joaGRlZcHR0RFTpkzBa6+9ZlLLkiVLMH/+fOTn50OhUGDBggUICwurVD8Y7IiICAC+2nMOs7cmw8fFDnGTesLJrnJ3POn0BvyZcRO7U3KwOzkXpy+bPpTn4WSLHi290DPYG90DPeHmaFsT5ZOZqjPBzlIw2BERUY6mCL3m7UGBVo/PhobimfbK+3/pLq5oirA3pXQ0L/7sVeQX/zOaJ5cBHfwbomeQF3oGeaONr4vxoUCyTAx2tYzBjoiIJq/5C2uPZaK9vxt+Hd212i6danUGHLt0A3tScrAnJRcpV/JMtns726Hn35dsnwj0hIu9zV32RHUVg10tY7AjIqrf/sq4iacXlb5jfP3YJ9DOz63GjqW6eQt7/r5ke/DcVRRq/5kE2Vouw6NNGqJXsDd6BXmjpU8DjuZZAAa7WsZgR0RUfwkhMOirgziefhPPdlBi/r9Da+3YxTo9jl64UXpvXkoOzucWmGxv7GpvnBz5iQDPSt/zR+aFwa6WMdgREdVf64+r8Ob//oSTrRV2T+4p6aTD6dcKsSc1B7uTc3Dw3DUU6wzGbbZWcnRu5m68N6+FlxNH8+oIBrtaxmBHRFQ/FRTrED5/D65oijG1bxDG9Ay4/5dqSVGJHofOX8Oe5BzsTslF+vVCk+1+7g7oFVR6yfbx5h5wsLWSqFK6Hwa7WsZgR0RUP83bloKFu9Pg7+6I7W91h72NeYYjIQQuXC3A7pRc7EnJweHz16HV/zOaZ2ctx+PNPdDr79G8pp5OElZLd2Kwq2UMdkRE9U/G9UI8uWAvtDoDlrzwKCLaNJK6pEorKNbh0Llr2P33k7aqm7dMtjfzdDI+adu5mbvZBtb6oio5g3dREhERPYBPYs9AqzPgiQAP9GntI3U5VeJkZ42nWvvgqdY+EELgbE4+dieXhryjF6/jwtUCXLhagOUHLsLBxgpPBHigx98PYSgbOkpdPt0DR+yqAUfsiIjql4PnruK5pYchlwFbJnZHUCNnqUuqNnlFJTiQdhW7k3OxJzUHVzSm760N9G6AXsHe6BnkhY5N3GFrLdlr5+sNXoqtZQx2RET1h05vQOR/9yM5Ow8juzTBh0+HSF1SjRFC4MzlvL8v2ebg2KUbMNyWGpxsrdAt0BO9grzRM8gbjVyleyLYkjHY1TIGOyKi+mNVwiW8u/4kXB1ssGdyTzR0qj/vbVUXliA+LRe7k3OxNzUHV/O1JtuDGzkbJ0fu4O8GayuO5lUHBrtaxmBHRFQ/qAtL0HPebtwoLMHMgW3wn65NpS5JMgaDwMkstfGS7Z8ZN3F7onC2t0b3QC/0DPJCjyAveDtzNO9BMdjVMgY7IqL6YebGU1h+4CJa+jRA7IQwjkjd5nqBFvtSc7E7JQf7UnNxo7DEZHtbhSt6BXmhR5A32vm5waqa3qVbHzDY1TIGOyIiy3f2Sh76fhEPvUFg1cuPoVugp9QlmS29QeCvzJvGyZGTVGqT7Q0dbdC9Zel0Kt1besG9Hl3OfhAMdrWMwY6IyLIJITDyuyOIP3sVvVv7YOnIjlKXVKfk5BVhX+pV42heXpHOuE0mA0KVbqVvwQj2QoivK+QczTPBYFfLGOyIiCzbrjNX8PL3f8DWSo7tb3Xnmxkegk5vQGL6TePkyGcua0y2ezaw/Wc0L9ALro42ElVqPhjsahmDHRGR5dLqDOjz2V5cvFaI0T1a4O1+wVKXZFEuq29hb0rpvXn7z15FgVZv3CaXAY82aYieQaXz5rVu7AKZrP6N5jHY1TIGOyIiy/XNvnP4JDYZXs522D25JxrY8aVNNUWrM+CPS9exJyUXu5NzcDYn32S7j4sderYsvWT7RIAnnO3rx2geg10tY7AjIrJMuXnF6DVvD/KLdZg7+BEM6egndUn1SuaNQuxJycWelBwcSLuGWyX/jOZZy2Xo2LTh3/fmeSPQu4HFjuYx2NUyBjsiIssUs/YE/vdHBkKVrvhtzBO8qV9CRSV6HLlw3Rj0zl8tMNmucHNAj6DSe/O6tvCAkwWNrDLY1TIGOyIiy5OUqcbARfshBPDrG13xaJOGUpdEt7l4tQB7UkqnU0k4fw3FOoNxm62VHI81dzfem9fc06lOj+Yx2NUyBjsiIssihMCQrw/hj0s38Ex7BT4b2k7qkugebmn1SDh/DbtTchCXnIPMG7dMtvu7O6JXkBd6BnujS3MP2NtYSVTpg2Gwq2UMdkRElmXDX1mY8NNxONhYYffknny5fR0ihMC53NLRvD0puTh84RpK9P9EHTtrObq08Ci9Ny/IG/4ejhJWWzkMdrWMwY6IyHLc0uoRPn8PLquLMLlPS4wLD5S6JHoI+cU6HEy7it1/35t3WV1ksr25pxN6/j05cudm7rCzNr/RPAa7WsZgR0RkOT7bkYovdp2FsqEDdkb3qHOX7ejuhBBIvZKP3Sk52J2cg2OXbkBn+CcGOdpaoWsLT/QM8kKvYG8o3BwkrPYfDHa1jMGOiMgyqG7eQvi8PSjWGfDViA7o17ax1CVRDdIUleDA2dJXne1OyUVuXrHJ9pY+DdAryBs9g7zRsWlD2FjJpamTwa52MdgREVmGcasTsenEZTze3B0/vfp4nX6SkqpGCIFTWRrsTS2dHDkx/QZuG8xDAztrdAvwRK9gL/QM8oaPS+3dd8lgV8sY7IiI6r4jF67j30sOQS4DNo0PQ2tf/nten90s1GLf2avYk5yDvam5uFagNdneqrELev19yba9nxusa3A0j8GuljHYERHVbXqDwMCF+3EqS4MRj/nj42faSl0SmRGDQSBJpTZesj2ReRO3pycXe2sMf8wf0/q1qpHjVyVnWM60zERERA9ozR8ZOJWlgYu9NaJ7t5S6HDIzcrkMoX5uCPVzw5tPtcS1/GLsO5uL3cm52JuaC/WtEhgM5jFOxmBHRET1mqaoBHO3pQAA3nyqJTwa2ElcEZk7jwZ2eKa9Es+0V0JvEPgz4wY8nMzj7w2DHRER1Wtf7jyLawVatPBywgtdmkhdDtUxVnIZHm3iLnUZRtI8t0tERGQGzuXmY8XBiwCAGVFtJJvOgqi6SPo3+Ntvv0WbNm2gUCjQqlUrfPPNN8Zta9asgVKpLLfI5XLMnj3b2G7gwIHw8PAwaRMWFmZynISEBISFhcHf3x+BgYFYunRpuVpWrFiBkJAQKJVKdO7cGQcOHKi5jhMRkVn4aNNp6AwCTwZ7o0dLL6nLIXp4QiI//PCDUCqV4uTJk0IIIU6fPi18fHzE6tWr7/qdffv2CTc3N5Gbm2tc1759exEbG3vX7yQnJwsXFxfx66+/Go/TqFEjsWbNGmOblStXisaNG4szZ84IIYRYu3atcHV1FefPn69UX9RqtQAg1Gp1pdoTEZH04s5cEU1iNomA6ZvFuZw8qcshuquq5AzJRuwSEhIwZ84ctGnTBgDQqlUrjBgxAmvWrLnrd6ZOnYr33nsPnp6exnUqlQp+fn53/c68efPQo0cPDBo0yHicKVOmYNasWcY2M2fOxOTJkxEcHAwAePbZZ9G9e3csXLjwofpIRETmSasz4P82nwYAjHqiGZp7NZC4IqLqIVmwW7RoEYYPH26yLikp6a7zs6xfvx7p6ekYO3ascZ1Wq0Vubi78/f3vepy4uDhERkaarIuKikJiYiJycnKQkZGBtLS0Ctts2bKlqt0iIqI64IdDF3E+twCeDWwxLjxA6nKIqo1Z3CVaUlKC8ePH49ChQ5g8eXKFbT755BO89dZbsLP753HirKws2NvbY8mSJWjfvj2aN2+OESNGID093dhGpVLB19fXZF9ln1UqFVQqlcm629uUbbtTcXExNBqNyUJERHXD1fxifLHrLABgSkQQXOxtJK6IqPpIHuzS09MRFhaGXbt2Yf/+/QgJCSnXJi4uDmfOnMHrr79usl6tVsPLywuNGzfGwYMHkZSUBE9PT4SHh6OgoAAAYGNjA7nctJtl7/4TQsDGpvQ/6IraiLu8lGPWrFlwdXU1Lve6FExEROZl/vZU5BXpEKJwweBH+e83WRZJg92xY8fQqVMndOvWDcePH0doaGiF7RYvXozBgwfD2dnZZH1oaCguXbqE559/Hg4ODnBycsKCBQuQnZ2N+Ph4AIBSqURWVpbJ98o+KxQKKJVKk3W3t1EoFBXWM23aNKjVauOSkZFR9c4TEVGtO5Wlxs9HS6/qvB/VBlZymcQVEVUvyYJdeno6+vfvj4ULF2LevHkml1hvl5ubiw0bNmDkyJEVbjcYDCafhRAwGAzGUbmIiAjExsaatNm2bRvatWsHHx8f+Pj4IDQ0tMI2ffv2rfCYdnZ2cHFxMVmIiMi8CSEwc+NpCAFEhfqiU1PzmVSWqLpIFuxGjx6NMWPGYMiQIfdst27dOjg4OJSbmw4ADh48iKCgIBw9ehQAUFRUhIkTJ0KpVKJnz54AgHHjxmHXrl3YsGEDACAlJQUff/wxYmJijPuJiYnBnDlzkJqaCqD0QY3t27dj3Lhx1dFVIiIyA7FJ2Thy4TrsbeR4u1+w1OUQ1QiZuNuNZDV9YJkM3t7exnvcbpeZmWn8/wMHDgQAYzC70/fff48vvvgCOTk5KCoqQlhYGD777DM0bdrU2CY+Ph7R0dHIysqCo6MjpkyZgtdee81kP0uWLMH8+fORn58PhUKBBQsWVBgmK6LRaODq6gq1Ws3ROyIiM1RUoseT8/dCdfMW3nwqEG8+1VLqkogqrSo5Q7JgZ0kY7IiIzNuXu85iwY5U+LraY9eknnCwtZK6JKJKq0rOkPypWCIiopqUdfMWFu9JAwBM69+KoY4sGoMdERFZtNlbk1FUYkCnpg0R+UhjqcshqlEMdkREZLH+uHgdv/+ZBZmsdHqTshkTiCwVgx0REVkkg6F0ehMAGNrRDyEKV4krIqp5DHZERGSR1iZmIkmlhrOdNSZHBEldDlGtYLAjIiKLk1dUgjlbUwAAE58KhGeDiifBJ7I0DHZERGRxFu5Ow9X8YjT3dMLILk2lLoeo1jDYERGRRblwtQDf7b8AAHgvsjVsrfmjjuoP/m0nIiKL8vHmMyjRC/QM8kKvYG+pyyGqVQx2RERkMfal5mLnmSuwlsvw7oDWUpdDVOsY7IiIyCKU6A34v02l05v8p2tTBHg3kLgiotrHYEdERBbhx4RLOJuTD3cnW0x4MlDqcogkwWBHRER13vUCLRbsSAUATO4TBFcHG4krIpIGgx0REdV5n+1IhaZIh1aNXTC0k5/U5RBJhsGOiIjqtDOXNfjx8CUAwPtRrWEl5/tgqf5isCMiojpLCIEPN56GQQAD2jbG4809pC6JSFIMdkREVGdtO5WNQ+evwc5ajrf7BUtdDpHkGOyIiKhOKirR46PNZwAAr3dvDj93R4krIpIegx0REdVJ3+6/gMwbt9DIxR6je7aQuhwis8BgR0REdU62ugiLdqcBAKb1D4ajrbXEFRGZBwY7IiKqc+ZsTUahVo9HmzTEwFBfqcshMhsMdkREVKckpt/AuuMqAKXTm8hknN6EqAyDHRER1RkGg8DMjaXvgx3yqBKPKN2kLYjIzDDYERFRnfHbcRX+yrgJJ1srTOkbJHU5RGaHwY6IiOqE/GIdZm9NBgCMfzIQ3s72EldEZH4Y7IiIqE5YvDsNOXnFaOLhiFFPNJW6HCKzxGBHRERmL/1aIZbFXwAAvDugNeysrSSuiMg8MdgREZHZ+zj2NLR6A8ICPfFUK2+pyyEyWwx2RERk1g6kXcW2U1dgJZfhvUhOb0J0Lwx2RERktnR6Az78e3qTFx5vgpY+zhJXRGTeGOyIiMhs/XQkHSlX8tDQ0QZvPhUodTlEZo/BjoiIzNLNQi3m70gFAET3CYKbo63EFRGZPwY7IiIyS5/vPIubhSUIbuSM4Z38pC6HqE6QNNh9++23aNOmDRQKBVq1aoVvvvnGZPuCBQvQoEEDKJVKkyU7O9vYRqVSYejQoWjatCkUCgWio6Oh1WpN9pOQkICwsDD4+/sjMDAQS5cuLVfLihUrEBISAqVSic6dO+PAgQM102kiIrqv1Ct5WJlwCQAwI7I1rK04DkFUGZL9l7Jy5Up88MEH+OWXX6BSqbBu3TrMmDEDP/30k7FNZmYmxo4di8zMTJOlUaNGAACtVovevXvD398f586dw6lTp5CYmIjo6GjjPlJSUhAREYG33noL6enp2LBhA2bMmIG1a9ca26xatQrTp0/H2rVrkZmZiZiYGAwYMAAXLlyovT8QIiICAAgh8H+bTkNvEOjbphG6BnhKXRJRnSFZsEtISMCcOXPQpk0bAECrVq0wYsQIrFmzxthGpVLBz+/uw+9r1qxBTk4OPvnkE1hZWcHNzQ0LFizAsmXLcPXqVQDAvHnz0KNHDwwaNMh4nClTpmDWrFnG/cycOROTJ09GcHAwAODZZ59F9+7dsXDhwmrvNxER3dvOMzmIP3sVttZyTO/fSupyiOoUyYLdokWLMHz4cJN1SUlJcHFxMX7OzMyEv7//XfcRFxeHPn36wMbGxriuQ4cOcHd3R1xcnLFNZGSkyfeioqKQmJiInJwcZGRkIC0trcI2W7ZseeD+ERFR1RXr9Phoc+n0Jq+GNYO/h6PEFRHVLWZx00JJSQnGjx+PQ4cOYfLkycb1KpUKiYmJCAsLQ7NmzfDUU0+Z3PumUqng6+tbbn8KhQIqlequbco+q1QqY7uK2pRtu1NxcTE0Go3JQkRED2/5gYu4dK0Q3s52GNMzQOpyiOocyYNdeno6wsLCsGvXLuzfvx8hISHGbba2trh16xZ+//13pKWlYdSoUejduzdOnDgBALCxsYFcXr4LMpkMQoi7timbtVwIYRztq6hN2T7uNGvWLLi6uhqXe10uJiKiysnJK8J/d50FALzdLxhOdtYSV0RU90ga7I4dO4ZOnTqhW7duOH78OEJDQ022p6amYvbs2XB3d4eVlRVGjBiBHj16YPXq1QAApVKJrKyscvvNysqCQqG4a5uyzwqFAkql0mRdRfu407Rp06BWq41LRkbGA/SeiIhuN3drCgq0erTzc8O/2lX87y8R3ZtkwS49PR39+/fHwoULMW/ePNjZ2ZVrYzAYyq3T6/XGEbeIiAjs2LEDOp3OuP3UqVPIzc1FeHi4sU1sbKzJPrZt24Z27drBx8cHPj4+CA0NrbBN3759K6zdzs4OLi4uJgsRET24vzJuYs2xTADA+1GtIZfzfbBED0KyYDd69GiMGTMGQ4YMqXD7zZs3ERgYiB9//BEGgwFCCHz//feIj4/HyJEjAQCRkZHw8vLCe++9B71eD7VajfHjx2PUqFHw8vICAIwbNw67du3Chg0bAJROf/Lxxx8jJibGeKyYmBjMmTMHqamlM5yvX78e27dvx7hx42ryj4CIiFB6W8wHG08BAAZ1UKC9f0OJKyKqu2TibjeS1fSBZTJ4e3ubPNFaJjOz9Le2hIQEzJgxA6dOnUJxcTECAwPxySefoFevXiZtx44di6NHj0Iul2PIkCH49NNPTUYA4+PjER0djaysLDg6OmLKlCl47bXXTI65ZMkSzJ8/H/n5+VAoFFiwYAHCwsIq1ReNRgNXV1eo1WqO3hERVdH64yq8+b8/4Whrhd2Te8LHxV7qkojMSlVyhmTBzpIw2BERPZiCYh3C5+/BFU0xpkQEYWwvPglLdKeq5AzJn4olIqL66+u953BFUww/dwe83K2Z1OUQ1XkMdkREJImM64VYsu88AOCd/q1hb2MlcUVEdR+DHRERSWLWljPQ6gzo2sIDEW18pC6HyCIw2BERUa07dO4aYpOyIZcBM6JaG6exIqKHw2BHRES1Sm8QmPn39CYjHmuC4EZ86IyoujDYERFRrfr5aDqSs/Pg6mCD6N4tpS6HyKIw2BERUa1RF5Zg3rYUAMBbTwWioZOtxBURWRYGOyIiqjVf7DqLG4UlCPRugBGPN5G6HCKLw2BHRES1Ii0nDz8cugig9IEJGyv+CCKqbvyvioiIapwQAh9uOgOdQeCpVj4IC/SSuiQii8RgR0RENW53Sg72pebCxkqGdwe0krocIovFYEdERDVKqzPg/zadAQC81K0Zmno6SVwRkeVisCMiohr1/cGLuHC1AJ4N7DCuV4DU5RBZNAY7IiKqMbl5xfhy11kAwNS+QXC2t5G4IiLLxmBHREQ1Zv72FOQV6/CI0hWDOyilLofI4jHYERFRjTipUuN/f2QAAN6PagO5nO+DJappDHZERFTthCh9H6wQwL/a+eLRJg2lLomoXmCwIyKiarfpxGUcvXgDDjZWiOkXLHU5RPUGgx0REVWrW1o9ZsWWTm8ypmcLNHZ1kLgiovqDwY6IiKrVkn3nkKUugsLNAa92by51OUT1CoMdERFVG9XNW/h67zkAwDsDWsHexkriiojqFwY7IiKqNp9uSUZRiQGPNXNHv5BGUpdDVO8w2BERUbU4cuE6Nv6VBbkMmBHVGjIZpzchqm0MdkRE9ND0htLpTQBgWGd/tPF1lbgiovqJwY6IiB7amj8ycCpLA2d7a0zq3VLqcojqLQY7IiJ6KJqiEszdlgIAePOplvBoYCdxRUT1F4MdERE9lP/uOotrBVq08HLCyC5NpC6HqF5jsCMiogd2Ljcfyw9cBAC8F9kaNlb8sUIkJf4XSGQmDAaB99afxKRf/kJuXrHU5RBVysebz0BnEAgP9kbPIG+pyyGq96ylLoCISm08kYWVCZcAAHtTczB3SCh68QclmbHdKTmIS86BtVyGdwe0krocIgJH7IjMglZnwPztqQAAZ3trXM3XYtTyo5i58RSKdXqJqyMqr0RvwP9tOg0AGPVEUzT3aiBxRUQEMNgRmYX/HU1H+vVCeDaww74pvfBi16YAgOUHLuJfiw4iLSdP2gKJ7vDDoUs4n1sADydbjH8yUOpyiOhvDHZEEiso1uGLXWkAgAlPBqChky0+GNgG373YEe5OtjhzWYPI/+7H6sPpEEJIXC0RcC2/GJ/vLB1hnhIRBBd7G4krIqIykga7b7/9Fm3atIFCoUCrVq3wzTffmGzXarWYOnUqmjZtCoVCgS5duiA+Pt6kzcCBA+Hh4QGlUmlcwsLCTNokJCQgLCwM/v7+CAwMxNKlS8vVsmLFCoSEhECpVKJz5844cOBA9XeYqALLD1zA1fxi+Ls7Ylgnf+P68GAfbJ0YhrBATxSVGDD9tyS8sSoRNwu1ElZLBMzfkYq8Ih3a+LpgSEc/qcshotsJifzwww9CqVSKkydPCiGEOH36tPDx8RGrV682tnnppZdE7969xdWrV4UQQqxdu1Y4OTmJtLQ0Y5v27duL2NjYux4nOTlZuLi4iF9//dV4nEaNGok1a9YY26xcuVI0btxYnDlzxngcV1dXcf78+Ur1Ra1WCwBCrVZXsvdEpa7nF4uQGVtFk5hNYv3xzArb6PUG8c3ecyJg+mbRJGaTeOzjneJg2tVarpSo1EnVTdH07U2iScwmcfj8NanLIaoXqpIzJBuxS0hIwJw5c9CmTRsAQKtWrTBixAisWbMGQOlo3cmTJ7Fs2TJ4eHgAAJ599lkEBQVh8+bNxv2oVCr4+d39N8Z58+ahR48eGDRokPE4U6ZMwaxZs4xtZs6cicmTJyM4ONh4nO7du2PhwoXV22miOyzanYa8Yh1aN3ZB1CO+FbaRy2V4tXtz/DbmCTT3dEK2pgjPLUvAvG0pKNEbarliqs+EEPhw42kIAUQ+0hidm7lLXRIR3UGyYLdo0SIMHz7cZF1SUhJcXFwAALa2tjh8+DD8/f+5NJWXl4eLFy8a22i1WuTm5pq0uVNcXBwiIyNN1kVFRSExMRE5OTnIyMhAWlpahW22bNnyUH0kuhfVzVv44e/pTab2DYJcLrtn+xCFKzaO74ahHf0gBLBwdxr+veQQ0q8V1ka5RNhyMhuHL1yHnbUc0/pzehMic2QWD0+UlJRg/PjxOHToECZPnlxhm5ycHAwYMACNGjXC0KFDAQBZWVmwt7fHkiVL0L59ezRv3hwjRoxAenq68XsqlQq+vqYjIWWfVSoVVCqVybrb25Rtu1NxcTE0Go3JQlRVn+9IhVZnwOPN3dGjpVelvuNkZ43Zgx/Bwufaw9neGsfTb6L/l/FYf7ziv6tE1aWoRI+PN58BAIzu0QIKNweJKyKiikge7NLT0xEWFoZdu3Zh//79CAkJKddm9+7daNeuHdzc3LBv3z44OJT+g6JWq+Hl5YXGjRvj4MGDSEpKgqenJ8LDw1FQUAAAsLGxgVxu2k2ZrHRkRAgBG5vSp7kqaiPu8gTirFmz4OrqalzudSmYqCJnr+Th18RMAMDUvsHGv5OVFfmIL7ZMDEPHJg2RX6zDm//7E9H/+xN5RSU1US4Rlu47D9XNW2jsao/RPVpIXQ4R3YWkwe7YsWPo1KkTunXrhuPHjyM0NLRcm++++w6DBw/GJ598gg0bNhjvtwOA0NBQXLp0Cc8//zwcHBzg5OSEBQsWIDs72/j0rFKpRFZWlsk+yz4rFAoolUqTdbe3USgUFdY9bdo0qNVq45KRkfHgfwhUL83dlgKDACLa+KCDf8MH2oeyoSN+fu1xvPVUS8hlwLrjKgz4cj/+zLhZvcVSvXdZfQuL95wDAEzr3woOtlYSV0REdyNZsEtPT0f//v2xcOFCzJs3D3Z2duXabNy4Ee+99x7i4+Px4osvVrgfg8H05nEhBAwGg3EEJCIiArGxsSZttm3bhnbt2sHHxwc+Pj4IDQ2tsE3fvn0rPKadnR1cXFxMFqLKOnbpBrafvgK5rHQOsIdhbSXHxKcC8cvrXaBwc0D69UIM/uogFu1Og97AOe+oeszekoxbJXp0bNIQUY80lrocIroHyYLd6NGjMWbMGAwZMqTC7fn5+XjllVewevVqtG7dusI2Bw8eRFBQEI4ePQoAKCoqwsSJE6FUKtGzZ08AwLhx47Br1y5s2LABAJCSkoKPP/4YMTExxv3ExMRgzpw5SE0tnXBz/fr12L59O8aNG1dd3SUCUPqLx+ytyQCAwY8qEeDtXC377djUHbETwxD5SGPoDAJzt6Xg+WWHka0uqpb9U/117NJ1rP8zCzIZ8H5UmyrfNkBEtUsm7nYjWU0fWCaDt7e38R6322VmZmLv3r3o1atXuYcaAKBLly7GaVG+//57fPHFF8jJyUFRURHCwsLw2WefoWnTpsb28fHxiI6ORlZWFhwdHTFlyhS89tprJvtcsmQJ5s+fj/z8fCgUCixYsKDcRMd3o9Fo4OrqCrVazdE7uqfdKTkYtfwobK3l2DO5J3yr+QZ0IQTWHsvE+xtOoVCrh5ujDWY/+wgi2jSq1uNQ/WAwCPxr8QGcyFRjaEc/zB78iNQlEdVLVckZkgU7S8JgR5VhMAgM+O9+nLmswathzfDOgIpHoqvD+dx8TPz5TySp1ACAEY/5490BrXlvFFXJmj8yMGXtCTjbWSNuck94OZe/ZYaIal5VcobkT8US1RcbT2ThzGUNnO2sMaZnQI0eq7lXA/z6Rle83r05AODHw+kYuLA0VBJVRl5RCWZvTQEATHgykKGOqI5gsCOqBVqdAfO3l97DObpnCzR0sq3xY9r+PYnsqpcfg5ezHc7m5OPpRQew/MCFu07lQ1Rm0e5zuJpfjGaeTvhP16ZSl0NElcRgR1QLfjqSjvTrhfBytsOoJ5rW6rG7BXpi68QwPBnsDa3OgJkbT+Pl7//AtfziWq2D6o6LVwvw3f4LAID3IlvB1po/KojqCv7XSlTDCop1+G/cWQCll7Qcba1rvQaPBnZY9p+O+PDpNrC1liMuOQd9v4jHvtTcWq+FzN/HsWeg1RvQo6UXegV5S10OEVUBgx1RDft2/wVczdeiiYcjhnWS7i0lMpkMI7s0xYZxT6ClTwPk5hVj5HdH8PHm09DqDPffAdUL8WdzseP0FVjLZXgvshWnNyGqYxjsiGrQtfxifLPvPABgUp8g2FhJ/59ccCMXbBjXDS883gQAsDT+AgZ9dQDncvMlroykptMb8OHG0wCAkV2aVts8i0RUe6T/KUNkwRbvOYf8Yh3a+Logsq35zNhvb2OF//tXCJaO7IiGjjY4qdIg8sv9+OVoBh+sqMdWJVzC2Zx8uDvZYuKTgVKXQ0QPgMGOqIZk3ijEykOXAAAxfYMhl5vfJa3erX2wZWJ3dG3hgVslekz99QTGrT4OdWGJ1KVRLbteoMWCHaVPbk/q0xKujuUnjyci88dgR1RDPttxFlq9AV2aeyAs0FPqcu6qkas9Vr38GGL6BsNaLsPmpMvo/2U8jl68LnVpVIs+25EKTZEOwY2cMayTv9TlENEDYrAjqgEp2XlYdzwTABDTL9jsb0CXy2V4o2cL/PpGVzT1cITq5i0MXXIIn+1IhU7PByssXXK2Bj8eLh1dfj+qDazMcHSZiCqHwY6oBszdlgIhgH4hjdDOz03qciot1M8NmyaE4dkOShgE8MWusxj6TQIyrhdKXRrVECEEZm44DYMA+rdthC4tPKQuiYgeAoMdUTU7duk6dp65Arms9EnYuqaBnTXm/zsUXwxrB2c7axy7dAP9v4zHxr+ypC6NasC2U1dw6Py10jeV9GsldTlE9JAY7IiqkRACs7eUvl/z3x39EODdQOKKHtzT7RSInRiGDv5uyCvSYfxPxzF5zV8oKNZJXRpVk6ISPT6OLZ3e5PXuzeHn7ihxRUT0sBjsiKrR7pQcHLl4HXbWckx8qu5PF+Hn7ohfXu+CCeEBkMuAtccyEfnf/TiReVPq0qgafLv/AjKu30IjF3u80bOF1OUQUTVgsCOqJgaDwJytpaN1L3ZtisauDhJXVD2sreSI7hOEn159HL6u9rhwtQCDFh/E13vPwWDgnHd11RVNERbtTgMAvN0vWJJX3RFR9XugYJeXl4ekpCTs3bsXJ06cgEajqe66iOqc3/9SITk7D8721hY5+vFYcw9smdgd/UIaQWcQ+HRLMkZ+dwQ5miKpS6MHMHtrMgq1enTwd8PT7XylLoeIqkmVgt3PP/+M7t27w9fXF4MGDcLUqVPx7LPPQqlUonv37vj5559rqk4is1as02P+9tLJXUf3aAE3R1uJK6oZro42WDyiAz4d1BYONlbYn3YVfb+Ix87TV6QujargePoNrEtUASid3sTcp+MhosqrVLBTqVR4/PHH8cMPPyAmJga5ubk4e/YsDh8+jLNnzyI3Nxdvv/02Vq5ciS5duiAri0/PUf3y0+F0ZN64BW9nO7z0RDOpy6lRMpkMwzr7Y+P4bmjd2AXXC7R45Yc/8P7vJ1FUope6PLoPg0Fg5t/vgx38qBKhdWg6HiK6P5moxIsh27RpgwULFiAiIuK+O9y+fTsmTZqEpKSkaimwLtBoNHB1dYVarYaLi4vU5VAtyy/Wocec3bhWoMXHz4RgxGNNpC6p1hTr9Ji7NQXL9l8AAAT5OOPL4e0R1IgvjzdX6xIzEf3LX3CytcLuyT3h7WIvdUlEdB9VyRmVGrGLjY2tVKgDgD59+mDTpk2VaktkCZbFn8e1Ai2aeTrh3x39pC6nVtlZW+HdyNZYMaoTPBvYIuVKHgYu3I+Vhy6iEr8zUi0rKNbh0y3JAIBx4YEMdUQWqFLBrkmTqo1AVLU9UV11Lb8YS/edB1D64nQbq/r5oHnPIG9smdgdPYO8UKwz4L3fT+HVH47heoFW6tLoNov3pCEnrxhNPBzxUremUpdDRDWgfv4UIqomC3enoUCrR1uFK/qHNJa6HEl5Odth+YudMCOyNWyt5Nh55gr6fr4PB9KuSl0aAUi/Voil8aWXzN/p3wp21lYSV0RENaHSExf17dsXWu39f/uWy+Xo3bs3YmJiHqowInOXcb0QPyakAwCm9g2CnC9Oh0wmw0vdmuHx5h4Y/1MizuUW4PlvD+P17i0Q3bslbK35u6RUPok9A63OgG4Bnujd2kfqcoiohlTq4QkAcHBwwNq1a42fhRB47rnn8NNPP5m0u3TpEiZPnozCwvrz0nA+PFE/Rf/yJ9YlqvBEgAd+fOVxqcsxO7e0evzf5tNYfbg0/D6idMWXw9qjqaeTxJXVPwfTruK5ZYdhJZchdkIYH24hqmOqkjMqHewcHR3LhTV3d3dcv37dZN2VK1fQvHlzFBQUVLHsuovBrv5Jztag3xfxEAL4fewTnDLiHraevIyYX5OgvlUCJ1srzHw6BM92UHDutFqi0xsQ+d/9SM7Ow3+6NMHMp0OkLomIqqjan4qtimvXrsHZmb8NkmWbuzUFQgD92zZiqLuPviGNsfXNMDzWzB0FWj0mr/kLE37+E5qiEqlLqxd+OpqB5Ow8uDna4K3eLaUuh4hqWJWCnRACBoMBBoMBen3FE5G2bNkSGRkZ1VIckTk6evE6diXnwEouw+Q+QVKXUyc0dnXA6lcfx5SIIFjJZdj4Vxb6fxGPY5duSF2aRbtZqMWC7aXvL47u3dJi34hCRP+odLATQsDa2ho2NjbGRa1Wl2tX1obIEgkhMPvvecD+3dEPzb0aSFxR3WEll2FsrwCsGd0Ffu4OyLxxC/9ecghf7joLvYFz3tWEz3eexY3CEgT5OOO5zv5Sl0NEtaDSwU4mk0Gv1xsXg8HA+8mo3olLzsEfl27AzlqOiU8GSl1OndTBvyFiJ4ThX+18oTcILNiRiuHfJEB185bUpVmUs1fysDLhEgBgRlRrWNfTORaJ6puH+i+dNz9TfaI3CMzZWnpZa9QTzdDIlbP2Pyhnext8Pqw9PhsaCidbKxy5eB39Pt+H2KTLUpdmEYQQ+HDTaegNAhFtfPBEgKfUJRFRLeGvcESVtP64CilX8uBib403erSQuhyL8Ex7JWInhiHUzw2aIh3G/JiIt389gUKtTurS6rRdZ3IQf/YqbK3keKd/a6nLIaJaVOkJioUQ+Oabb0zWFRcXl1tX5rXXXnu4yojMSLFOjwU7UgEAb/QMgKsj7yOtLk08nLB2dBd8vjMVi/ecw89HM3Dk4nV8Oaw9QhSuUpdX5xTr9Pho82kAwCthzeDv4ShxRURUmyo9j93IkSNRUlK56QlkMhlWr179UIXVJZzHzvJ9t/8CPtx0Gj4udtgzuRccbPk6pppw8NxVRP/vL2RrimBjJUNM32C89EQzvtWjCr7eew6fbkmGt7Md4ib3RAO7Sv/+TkRmqkYmKK4J3377LRYsWICbN2/CxcUFb731lslIX3FxMd5//32sXbsWhYWF6NSpE7766iv4+voa26hUKkRHR+Pw4cMoKSnB0KFD8emnn8LW9p/H+hMSEjBlyhRcunQJdnZ2mDp1Kl599VWTWlasWIF58+bh5s2b8PX1xWeffYYnnniiUv1gsLNseUUl6DF3D64XaPHJM23x3GN8urAm3SjQIubXE9h++goAoHtLL8wb8gi8nXlP4/3k5BWh19w9KNDqMX9IKJ59VCl1SURUDSSdoLiyVq5ciQ8++AC//PILVCoV1q1bhxkzZpi8omzs2LE4fPgwjh07hvT0dAQGBqJfv37GOfS0Wi169+4Nf39/nDt3DqdOnUJiYiKio6ON+0hJSUFERATeeustpKenY8OGDZgxY4bJ69FWrVqF6dOnY+3atcjMzERMTAwGDBiACxcu1N4fCJmtZfEXcL1Ai+aeTvh3R/6grGkNnWyx5IVH8fEzIbC3kWNfai76fxGP3Sk5Updm9uZuTUGBVo9QPzc8014hdTlEJAVRCceOHatMsyq1HzNmjFi9erXJuujoaPHMM88IIYS4dOmSkMvlJvsqLi4WHh4eYsOGDUIIIVatWiU8PDyEVqs1ObadnZ3Izc0VQgjxyiuviKioKJPjzJ8/X3To0MH4OSAgQMyfP9+kTVRUlIiOjq5Md4VarRYAhFqtrlR7qjty84pE6/e2iCYxm8TmE1lSl1PvpGZrRMRne0WTmE2iScwm8cGGk+KWVid1WWbpz/Qbxj+nY5euS10OEVWjquSMSo3YvfLKK/j2228rFRSXLVuGV1555b7tFi1ahOHDh5usS0pKMg4x7t27Fz4+PujQoYNxu62tLSIiIrBlyxYAQFxcHPr06WMyIXKHDh3g7u6OuLg4Y5vIyEiT40RFRSExMRE5OTnIyMhAWlpahW3KjkP118K4NBRo9XhE6Yp+IY2kLqfeCfRxxvqxT+DFrk0BAMsPXMQziw8iLSdP2sLMjBACMzeeAgAMaq9AB/+GEldERFKpVLDbvXs3tmzZgnbt2uHrr79Genq6yfaMjAwsWbIEoaGh2LZtG/bs2VOlIkpKSjB+/HgcOnQIkydPBlB679zt99KV8fX1hUqlumcbhUJxzzZln1UqlbFdRW3Ktt2puLgYGo3GZCHLk3G9ED8eLp3gNaZvMOdtlIi9jRU+GNgG373YER5OtjhzWYPI/+7H6sPpENLdImxWNvyVhcT0m3C0tcLUvsFSl0NEEqpUsHN1dcXatWuxcOFCxMfHo0OHDrC3t0fjxo3h4OCARx99FAcOHMBXX32FNWvWVOkBgvT0dISFhWHXrl3Yv38/QkJCAAA2NjaQy8uXJ5PJjP+YP2ibsh/QQgjjaF9Fbe72Q2PWrFlwdXU1Ln5+fpXuL9UdC3akokQvEBboyQlezUB4sA+2TAxDWKAnikoMmP5bEt5YlYibhVqpS5NUoVaHWbGlr7kb2yuAE2cT1XNVeniiW7du+PHHH3H16lVkZ2fj4MGDuHz5MnJycvDDDz+ga9euVTr4sWPH0KlTJ3Tr1g3Hjx9HaGiocZtSqURWVla572RlZUGhUDxUm7LPCoUCSqXSZF1F+7jTtGnToFarjUtGRkZlu0x1xJnLGqz/s3TEdmoER0DMhbeLPb4f1RnvDmgFGysZtp7KRt/P43Ho3DWpS5PM13vOIVtTBGVDB7zcrZnU5RCRxB74qVg3Nzc0a9YMbm5uD/T99PR09O/fHwsXLsS8efNgZ2dnsj08PBw5OTk4ceKEcZ1Op0NcXBz69u0LAIiIiMCOHTug0/0zS/2pU6eQm5uL8PBwY5vY2FiTfW/btg3t2rWDj48PfHx8EBoaWmGbsuPcyc7ODi4uLiYLWZa521IgBDDgkcZoq+QkueZELpfhlbDm+G3ME2ju6YRsTRGeW5aAuduSUaI3SF1ercq4Xogl+84DAN4d0Ar2Npxfkai+k2y6k9GjR2PMmDEYMmRIhdu9vLwwatQoREdHQ6PRQK/XY/r06XB3d8eAAQMAAJGRkfDy8sJ7770HvV4PtVqN8ePHY9SoUfDy8gIAjBs3Drt27cKGDRsAlE5/8vHHHyMmJsZ4rJiYGMyZMwepqaVvFli/fj22b9+OcePG1eQfAZmpIxeuIy45B1ZyGSb3CZK6HLqLEIUrNo7vhqEd/SAEsGj3OQz5+hDSrxVKXVqt+XRLMop1BnRp7oGINny4h4gknKBYJpPB29vb5InWMpmZmQBKH1J4++23sWbNGuj1enTu3BmLFi0yXj4tazt27FgcPXoUcrkcQ4YMwaeffmoyAhgfH4/o6GhkZWXB0dERU6ZMKffKsyVLlmD+/PnIz8+HQqHAggULEBYWVqm+cIJiyyGEwLNfHURi+k0895g/PnmmrdQlUSVsPnEZ09adgKZIhwZ21vjoXyH4l4XP45Zw/hqGfZMAuQzYPCEMrRrz3x4iS1Vn3jxhKRjsLMeO01fw6g9/wN5Gjr1TesHHhTei1xWqm7fw5s/HcfTiDQDAM+0V+PDpNnC2t7z3+uoNApH/3Y8zlzV4/nF/fPQv/gJCZMnqxJsniMyN3iAwd1vp04UvPdGMoa6OUbg54KdXH8dbT7WEXAb8dlyFAV/ux/H0G1KXVu3+dzQDZy5r4GJvjejevF2AiP7BYEf0t3WJmUi9kg9XBxu83qOF1OXQA7C2kmPiU4H45fUuULg5IP16IYZ8fQiLdqdBb7CMixPqWyWYtz0FAPBW75Zwd7K9zzeIqD5hsCMCUFSix+c7zwIAxvRsAVcHy7t8V590bOqO2IlhiAr1hc4gMHdbCp5fdhiX1bekLu2hfbnrLK4XaBHg3QDPP95E6nKIyMww2BEBWJVwCaqbt9DIxR7/+fv1VVS3uTrY4Mth7TB38CNwtLXCofPX0O+LeGw7lS11aQ8sLScf3x+8CAB4L7I1bKz4TzgRmeK/ClTv5RWVYNHuNADAm08Fci4wCyKTyTCkox82TwjDI0pX3Cwswesrj2H6b0m4pdVLXV6VfbT5NHQGgadaeaNHSy+pyyEiM1Ttwa558+bVvUuiGrV033ncKCxBcy8nDH5Uef8vUJ3TzNMJa0d3xes9Sv99Wn04HVEL9+N0Vt15z/Pu5BzsScmFjZUM7wxoLXU5RGSmHjjYlb3Z4U4XL1580F0S1brcvGIs238BADClTxCseWnLYtlayzGtXyusevkxeDvbIS0nH/9adADLD1y463uhzYVWZ8D/bToNoPSJ7WaeThJXRETm6oF/iu3fv7/C9TKZ7IGLIaptC+POolCrR6ifG/qGcOb++qBboCe2TAzDU628odUbMHPjaby04iiu5hdLXdpd/XDoIs5fLYBnA1uMCw+QuhwiMmMcnqB6K/1aIVYfSQcAxPQN4i8l9YhHAzssHdkRHz7dBrbWcuxOyUXfz+OxLzVX6tLKuZpfjC/+fmJ7akSwRU64TETVh8GO6q35O1JQohcIC/RE1xaeUpdDtUwmk2Fkl6bYOK4bWvo0wNX8Yoz87gg+3nwaxTrzebBi/vYU5BXr0FbhyntAiei+GOyoXjqVpcbvf2YBAGL6BktcDUkpqJEzNozrhpFdSueEWxp/AYMWH8S53HyJKwNOqtT4+WgGAOD9qNaQyzmqTET3Vulg5+zsDBcXF+Oi0+lMPru4uMDZ2bkmayWqNnO3lc7cHxXqixCFq8TVkNTsbazw4dMhWDqyIxo62uBUlgaRX+7H/46mS/ZghRACH248DSGAp9v5omNTd0nqIKK6xbqyDZOTk+/bRgiBJk04EzqZt4Tz17AnJRfWchkm9W4pdTlkRnq39sHWN7sj+pc/cSDtGmJ+TcK+1Kv45Jm2cHWs3XvbNiddxpGL1+FgY4W3+3FUmYgqp9LBTqFQ1GQdRLVCCIHZW0t/SRnW2Q9NOW0E3cHHxR4rX3oM38Sfx7xtKdicdBl/ZtzEZ0PboXOz2hk1u6XVY1Zs6d/TN3q2QGNXh1o5LhHVfbzHjuqV7aev4Hj6TTjYWGFCeKDU5ZCZkstlGN2jBX59oyuaejhCdfMWhn1zCAt2pEKnN9T48b/Zdx6qm7egcHPAa9056TsRVR6DHdUbOr3BeG/dS92awtvFXuKKyNyF+rlh04QwDH5UCYMAvtx1FkO/SUDG9cIaO6bq5i18tbf0FXfT+7fiK+6IqEqqPdiZ+wzuVH+tO65CWk4+3Bxt8HqPFlKXQ3VEAztrzBsSii+Ht4eznTWOXbqB/l/EY8NfWTVyvE+3JKOoxIDOzdzRvy0nzSaiqqn2YLdjx47q3iXRQysq0ePzHakAgLE9A+DCSV6pigaG+iJ2Yhg6+Lshr1iHCT8dx+Q1fyG/WFdtxzhy4To2/pUFmax0ehNOmk1EVVWlYLdw4UKTzzt37kRsbCyOHz8OIQQeeeQRTJ8+HT/88EO1Fkn0sFYeuoQsdREau9rjhS58cpsejJ+7I355vQsmhAdALgPWHstE5JfxOJF586H3rTcIzNx4CgAwrJM/2vhyGh4iqroqBbsvv/wSALB06VIAwMiRI7Fw4UJs3boVMpkMmzdvxtixYxETE1P9lRI9IE1RCRbtKb1n6a2nWvKeJXoo1lZyRPcJwk+vPg5fV3tcvFaIQYsP4uu952AwPPitKGuPZeBUlgbO9taY3IfT8BDRg3mgS7Fz584FADg5OSE2NhbTpk0DAPj5+eGFF17AtWvXqq9Coof0zd7zuFlYghZeThjUgdP2UPV4rLkHtkzsjv5tG0FnEPh0SzJe+O4wrmiKqrwvTVGJ8cGeiU8GwqOBXXWXS0T1RLXfY6fT6XhfCJmNnLwifLv/AgBgSkQwrK34IDhVH1dHGyx6rgNmP9sWDjZWOJB2DX0/34edp69UaT8L49JwNV+L5l5OGNmlac0US0T1QqUnKK6ITCaDRqPBE088YQxzBQUFCAgIqJbiiB7Wf3el4VaJHu383BDRxkfqcsgCyWQyDO3kj0ebuGPiz8dxKkuDV374AyO7NKnUdCXnc/Ox/EDpLx/vRbaGrTV/+SCiB1epYFf2MEReXh5++OEH5OXlASid2sTZ2RmrVq0ytpXJZGjWrFkNlEpUNRevFuCnI+kAgJi+wRxJphoV4N0A68Z0xbxtKVgafwE/HLqEw+ev48vh7RHU6O7v0f548xmU6AV6BXmhV5B3LVZMRJaoUsFu48aNAEpH4zZu3IiCggLjNplMhtDQ0JqpjughLNiRCp1BoEdLL3Rp4SF1OVQP2Flb4Z0BrdEt0AuTfvkLKVfyELVwP94d0AovPN6k3C8Xe1JysCs5B9ZyGd6NbC1R1URkSSo15r9mzRqsWbMGjRo1Mv4vUBrq8vLy0L17dzz33HP4+uuvUVhYczOyE1XWSZXaOIHs1L5BEldD9U2Pll7Y+mYYegZ5QaszYMbvp/DqD3/geoHW2KZEb8D/bToNAHixa1O08GogVblEZEEe6mYOIQScnJzw0UcfYeDAgdi/fz86dOiA7Ozs6qqP6IHM+fsJw4GhvpwPjCTh2cAOy1/shPejWsPWSo6dZ3LQ9/N9OJB2FUDp3Irncgvg4WSL8U/yvcVEVD0eKNjd/towuVyO7t27Y9iwYVi1ahWGDh2KCRMmVFuBRFV18NxV7EvNhbVchkmcD4wkJJPJMOqJZlg/9gkEeDdATl4xnv/2MD7ceBqf7yx9E8rkiCC4OvBNKERUPR4o2PXr1w8AUFRUhBkzZuDbb781bps2bRri4uKQlVUz71EkuhchBGZvLR2te+4xfzTxcJK4IiKgta8LNo7rhuce84cQwHcHLkBTpEPrxi74d0c/qcsjIgtSpWAXFhYG4J83UEyYMAFWVlawsvrncX57e3u8+eabMBgM1VgmUeVsO5WNvzJuwsHGCuPCOe0OmQ8HWyt88kxbfP38o3BztIG1XIYPBraBlZxPaxNR9ZGJ26+r0gPRaDRwdXWFWq2Gi4uL1OXUWzq9ARGf78O53AKMDw/ApD58aILMk/pWCW4WajmiTESVUpWc8VATFBOZk18TM3EutwANHW3wavfmUpdDdFeuDja8r46IagSnOCeLUFSix2c7zgIAxvYKgIs9f2gSEVH9I1mwMxgMSEhIwKRJk+Du7o4VK1YYt61ZswZKpbLcIpfLMXv2bGO7gQMHwsPDw6RN2X2AZRISEhAWFgZ/f38EBgZi6dKl5WpZsWIFQkJCoFQq0blzZxw4cKDG+k0144dDF5GtKYKvqz2ef7yJ1OUQERFJQrJLscuXL8eSJUvQp08fk4cvAGDIkCEYMmSIybr4+HgMHDgQL7/8snFdZmYmVq1aZXxK904pKSmIiIjA8uXLMWjQIJw5cwbh4eFo2LAhBg8eDABYtWoVpk+fjri4OAQHB+PXX3/FgAEDcPz4cb4arY5Q3yrBot3nAABv9m5533dzEhERWSrJRuxefvllHDlyBB999BGcnO5/A/HUqVPx3nvvwdPT07hOpVLBz+/uUwXMmzcPPXr0wKBBgwAArVq1wpQpUzBr1ixjm5kzZ2Ly5MkIDg4GADz77LPo3r07Fi5c+KBdo1q2ZO85qG+VINC7AZ7toJS6HCIiIsnUiXvs1q9fj/T0dIwdO9a4TqvVIjc3F/7+/nf9XlxcHCIjI03WRUVFITExETk5OcjIyEBaWlqFbbZs2VK9naAakaMpwncHLgAApkQEceoIIiKq1+pEsPvkk0/w1ltvwc7OzrguKysL9vb2WLJkCdq3b4/mzZtjxIgRSE9PN7ZRqVTw9fU12VfZZ5VKBZVKZbLu9jZl2ypSXFwMjUZjspA0vth1FkUlBnTwd0Pv1j5Sl0NERCQpsw92cXFxOHPmDF5//XWT9Wq1Gl5eXmjcuDEOHjyIpKQkeHp6Ijw8HAUFBQAAGxsbyOWmXZTJSkd0hBCwsSl9crKiNvea3m/WrFlwdXU1Lve6HEw158LVAvx8NAMAENM32HhuiYiI6iuzD3aLFy/G4MGD4ezsbLI+NDQUly5dwvPPPw8HBwc4OTlhwYIFyM7ORnx8PABAqVSWe7VZ2WeFQgGlUmmy7vY2CoXirjVNmzYNarXauGRkZDx0P6nq5m9Pgd4g0CvIC48195C6HCIiIsmZdbDLzc3Fhg0bMHLkyAq33/naMiEEDAaDceQmIiICsbGxJm22bduGdu3awcfHBz4+PggNDa2wTd++fe9al52dHVxcXEwWql1JmWpsOnEZMhkwJSJY6nKIiIjMglkHu3Xr1sHBwaHc3HQAcPDgQQQFBeHo0aMAgKKiIkycOBFKpRI9e/YEAIwbNw67du3Chg0bAJROf/Lxxx8jJibGuJ+YmBjMmTMHqampAEof1Ni+fTvGjRtXw72jhzFnWzIA4OlQX7T2ZbAmIiICzPyVYps3b0aPHj1gbV2+zK5du+Ldd9/F66+/jpycHBQVFSEsLAzbt283PmQREBCATZs2ITo6Gm+88QYcHR3xwQcfYNiwYcb9DB8+HBqNBpGRkcjPz4dCocCmTZvQokWLWusnVc3BtKuIP3sVNlYyRPfm+2CJiIjKyMS9nhKgSqnKy3np4Qgh8K9FB/BXphr/6dIEM58OkbokIiKiGlWVnGHWl2KJ7rT1ZDb+ylTD0dYK48IDpS6HiIjIrDDYUZ2h0xswd3sKAOCVsObwcra7zzeIiIjqFwY7qjPWHMvE+dwCuDvZ4tUwvseXiIjoTgx2VCcUlejx+c7SJ5fH9gqAs72NxBURERGZHwY7qhNWHLyIK5piKNwc8Pzjd38/MBERUX3GYEdmT11YgsW70wAAb/VuCTtrK4krIiIiMk8MdmT2vt53DpoiHVr6NMAz7e/+qjciIqL6jsGOzNoVTRGWH7gAoPTVYVZymcQVERERmS8GOzJrn+88i6ISAzo2aYinWnlLXQ4REZFZY7Ajs3U+Nx+//JEBAIjpFwyZjKN1RERE98JgR2Zr/vZU6A0C4cHe6NTUXepyiIiIzB6DHZmlE5k3sTnpMmQyYGrfIKnLISIiqhMY7Mgszdla+uqwZ9opENzo3i88JiIiolIMdmR29p+9iv1pV2FjJcNbvVtKXQ4REVGdwWBHZkUIgdlbkwEAIx5rAj93R4krIiIiqjsY7MisxCZlI0mlhpOtFcaFB0hdDhERUZ3CYEdmo0RvwLztpffWvRLWHJ4N7CSuiIiIqG5hsCOzseaPTFy4WgAPJ1u82r251OUQERHVOQx2ZBZuafX4fGcqAGBceAAa2FlLXBEREVHdw2BHZmH5wQvIySuGsqEDnnvMX+pyiIiI6iQGO5KcurAEX+85BwCI7t0SdtZWEldERERUNzHYkeQW702DpkiH4EbOeLqdQupyiIiI6iwGO5LUZfUtrDhwEQAwJSIIVnKZtAURERHVYQx2JKkvd51Fsc6ATk0bIjzYW+pyiIiI6jQGO5LMudx8/PJHJgAgpm8wZDKO1hERET0MBjuSzLxtKdAbBJ5q5Y2OTd2lLoeIiKjOY7AjSfyVcRNbTmZDJgOmRARLXQ4REZFFYLCjWieEwOytyQCAZ9orENTIWeKKiIiILAODHdW6/WlXcfDcNdhayRHdu6XU5RAREVkMBjuqVQbDP6N1zz/eBMqGjhJXREREZDkY7KhWbU66jJMqDRrYWWNsrxZSl0NERGRRGOyo1pToDZi/PQUA8GpYc3g0sJO4IiIiIsvCYEe15n9HM3DxWiE8nGzxSlgzqcshIiKyOJIFO4PBgISEBEyaNAnu7u5YsWKFyfYFCxagQYMGUCqVJkt2draxjUqlwtChQ9G0aVMoFApER0dDq9Wa7CchIQFhYWHw9/dHYGAgli5dWq6WFStWICQkBEqlEp07d8aBAwdqpM/1WaFWhy92nQUAjA8PgJOdtcQVERERWR7Jgt3y5csxYcIEODg4wMrKqtz2zMxMjB07FpmZmSZLo0aNAABarRa9e/eGv78/zp07h1OnTiExMRHR0dHGfaSkpCAiIgJvvfUW0tPTsWHDBsyYMQNr1641tlm1ahWmT5+OtWvXIjMzEzExMRgwYAAuXLhQ838I9cjyAxeRm1cMP3cHPPdYE6nLISIiskiSBbuXX34ZR44cwUcffQQnJ6dy21UqFfz8/O76/TVr1iAnJweffPIJrKys4ObmhgULFmDZsmW4evUqAGDevHno0aMHBg0aBABo1aoVpkyZglmzZhn3M3PmTEyePBnBwaWT5D777LPo3r07Fi5cWJ3drdduFmrx9d5zAIBJvYNga807AIiIiGqC2f6EzczMhL+//123x8XFoU+fPrCxsTGu69ChA9zd3REXF2dsExkZafK9qKgoJCYmIicnBxkZGUhLS6uwzZYtW6qxN/Xb4j3nkFekQ3AjZwwM9ZW6HCIiIotltsFOpVIhMTERYWFhaNasGZ566imTe99UKhV8fcuHBIVCAZVKddc2ZZ9VKpWxXUVtyrZVpLi4GBqNxmShil1W38KKgxcBADF9gyGXy6QtiIiIyIKZbbCztbXFrVu38PvvvyMtLQ2jRo1C7969ceLECQCAjY0N5PLy5ctkMggh7tpGJisNFkII42hfRW3K9lGRWbNmwdXV1bjc65Jxfff5jrPQ6gzo3NQdPYO8pC6HiIjIopltsEtNTcXs2bPh7u4OKysrjBgxAj169MDq1asBAEqlEllZWeW+l5WVBYVCcdc2ZZ8VCgWUSqXJuor2UZFp06ZBrVYbl4yMjAfvqAVLy8nDmmOlfzYx/YKNoZqIiIhqhtkGO4PBUG6dXq83hoOIiAjs2LEDOp3OuP3UqVPIzc1FeHi4sU1sbKzJPrZt24Z27drBx8cHPj4+CA0NrbBN375971qbnZ0dXFxcTBYqb962VBgE0Lu1Dx5t0lDqcoiIiCyeWQa7mzdvIjAwED/++CMMBgOEEPj+++8RHx+PkSNHAgAiIyPh5eWF9957D3q9Hmq1GuPHj8eoUaPg5VV6yW/cuHHYtWsXNmzYAKB0+pOPP/4YMTExxmPFxMRgzpw5SE1NBQCsX78e27dvx7hx42q515blePoNbD2VDbkMmBIRJHU5RERE9YJZzhLr5uaGH3/8ETNmzMDUqVNRXFyMwMBAxMbGolWrVgAAa2trbN26FWPHjoWfnx/kcjmGDBmCTz/91LifgIAAbNq0CdHR0XjjjTfg6OiIDz74AMOGDTO2GT58ODQaDSIjI5Gfnw+FQoFNmzahRQu+x/RBCSEwe2syAGBQByVa+jhLXBEREVH9IBP3ekqAKkWj0cDV1RVqtZqXZQHsTc3Ff747AlsrOXZP6QmFm4PUJREREdVZVckZZnkpluoug0Fg9pbS0boXujRhqCMiIqpFDHZUrTYlXcbpyxo421ljbK8AqcshIiKqVxjsqNpodQbM354CAHite3O4O9lKXBEREVH9wmBH1eZ/R9Nx6VohPBvY4aVuzaQuh4iIqN5hsKNqUajV4YtdaQCACU8GwMnOLB+4JiIismgMdlQtvtt/AVfzi+Hv7ohhnfylLoeIiKheYrCjh3ajQIsle88DACb1aQlba/61IiIikgJ/AtNDW7wnDXnFOrRu7IKoR3ylLoeIiKjeYrCjh6K6eQvfH7oEAJjaNwhyuUziioiIiOovBjt6KJ/vSIVWZ8BjzdzRo6WX1OUQERHVawx29MDOXsnDr4mZAICYfsGQyThaR0REJCUGO3pgc7elwCCAPq190MG/odTlEBER1XsMdvRAjl26ge2nr0AuK723joiIiKTHYEdVJoTA7K3JAIDBjyoR4O0scUVEREQEMNjRA9iTmosjF67D1lqON59qKXU5RERE9DcGO6oSg0FgztYUAMB/ujSBr5uDxBURERFRGQY7qpKNJ7Jw5rIGznbWGNMzQOpyiIiI6DYMdlRpWp0B87enAgBe79EcDZ1sJa6IiIiIbsdgR5X205F0pF8vhJezHV7q1kzqcoiIiOgODHZUKQXFOvw37iwAYMKTgXC0tZa4IiIiIroTgx1Vyrf7L+BqvhZNPBwxrJOf1OUQERFRBRjs6L6uF2jxzb7zAIBJfYJgY8W/NkREROaIP6HpvhbtTkN+sQ5tfF0Q2bax1OUQERHRXTDY0T1l3ijEykOXAABT+wZDLpdJXBERERHdDYMd3dPnO89CqzegS3MPdA/0lLocIiIiugcGO7qr1Ct5WJeYCQCI6RcMmYyjdUREROaMwY7uas7WFBgE0LdNI7Tzc5O6HCIiIroPBjuq0LFL17HzzBXIZcDkiCCpyyEiIqJKYLCjcoQQmL0lBQAw5FE/BHg3kLgiIiIiqgwGOypnd0oOjly8DjtrOd7sHSh1OURERFRJDHZkwmAQmLO1dLTuxa5N0djVQeKKiIiIqLIY7MjE73+pkJydB2d7a7zRs4XU5RAREVEVMNiRUbFOj/nbUwEAo3u0gJujrcQVERERUVVIFuwMBgMSEhIwadIkuLu7Y8WKFSbbtVotpk6diqZNm0KhUKBLly6Ij483aTNw4EB4eHhAqVQal7CwMJM2CQkJCAsLg7+/PwIDA7F06dJytaxYsQIhISFQKpXo3LkzDhw4UO39rQt+OpyOzBu34O1sh5eeaCZ1OURERFRF1lIdePny5ViyZAn69OkDKyurctvfeOMNZGRk4NixY/Dw8MCvv/6Kfv364a+//kKLFqWXCDMzM7Fq1Sr069evwmOkpKQgIiICy5cvx6BBg3DmzBmEh4ejYcOGGDx4MABg1apVmD59OuLi4hAcHIxff/0VAwYMwPHjx9GsWf0JN/nFOvw3Lg0AMOHJQDjYlj8nREREZN4kG7F7+eWXceTIEXz00UdwcnIy2abVanHy5EksW7YMHh4eAIBnn30WQUFB2Lx5s7GdSqWCn5/fXY8xb9489OjRA4MGDQIAtGrVClOmTMGsWbOMbWbOnInJkycjODjYeJzu3btj4cKF1dbXumBZ/HlcK9CimacThna6+58pERERmS+zvMfO1tYWhw8fhr+/v3FdXl4eLl68CBcXFwCl4S83N9ekzZ3i4uIQGRlpsi4qKgqJiYnIyclBRkYG0tLSKmyzZcuWauyRebuWX4yl+84DACb1aQkbK7P8a0FERET3USd+gufk5GDAgAFo1KgRhg4dCgDIysqCvb09lixZgvbt26N58+YYMWIE0tPTjd9TqVTw9fU12VfZZ5VKBZVKZbLu9jZl2ypSXFwMjUZjstRlC3enoUCrR4jCBf1DGktdDhERET0gsw92u3fvRrt27eDm5oZ9+/bBwaF0XjW1Wg0vLy80btwYBw8eRFJSEjw9PREeHo6CggIAgI2NDeRy0y6WvcheCAEbGxsAqLCNEOKuNc2aNQuurq7G5V6Xg81dxvVC/JhQGoZj+gZDLpdJXBERERE9KLMOdt999x0GDx6MTz75BBs2bDDebwcAoaGhuHTpEp5//nk4ODjAyckJCxYsQHZ2tvHpWaVSiaysLJN9ln1WKBRQKpUm625vo1Ao7lrXtGnToFarjUtGRka19FcKn+1MhVZvwBMBHggL9JK6HCIiInoIZhvsNm7ciPfeew/x8fF48cUXK2xjMBhMPgshYDAYjKNyERERiI2NNWmzbds2tGvXDj4+PvDx8UFoaGiFbfr27XvX2uzs7ODi4mKy1EXJ2Rr8drz0kvPUiGCJqyEiIqKHZZbBLj8/H6+88gpWr16N1q1bV9jm4MGDCAoKwtGjRwEARUVFmDhxIpRKJXr27AkAGDduHHbt2oUNGzYAKJ3+5OOPP0ZMTIxxPzExMZgzZw5SU0sn5l2/fj22b9+OcePG1WAPzcO8bSkQAujfthFC/dykLoeIiIgekmTz2N3LsWPHkJubixEjRpTb1qVLF6xZswZdu3bFu+++i9dffx05OTkoKipCWFgYtm/fDjs7OwBAQEAANm3ahOjoaLzxxhtwdHTEBx98gGHDhhn3N3z4cGg0GkRGRiI/Px8KhQKbNm0yzpVnqY5evI6dZ3JgJZdhUp8gqcshIiKiaiAT93pKgCpFo9HA1dUVarW6TlyWFUJgyNeH8MelGxje2Q+zBj0idUlERER0F1XJGWZ5KZZqVlxyDv64dAN21nJMfLKl1OUQERFRNWGwq2f0BoE5W1MAAC8+0RSNXO0lroiIiIiqC4NdPbP+uAopV/LgYm+NMT0CpC6HiIiIqhGDXT1SrNNjwY7Sp3/f6BkAV0cbiSsiIiKi6sRgV4/8mJAO1c1b8HGxw4tdm0pdDhEREVUzBrt6Iq+oBAt3pwEAJj7ZEg62VhJXRERERNWNwa6eWBZ/AdcLtGju6YR/d1RKXQ4RERHVAAa7euBqfjGWxZ8HAEzqEwRrK552IiIiS8Sf8PXAwrg0FGj1eETpiv5tG0ldDhEREdUQBjsLl3G9ED8evgQAiOkbDJlMJnFFREREVFMY7Czcgh2pKNELdAvwxBMBnlKXQ0RERDWIwc6Cnbmswfo/VQBKR+uIiIjIsjHYWbC521IgBDDgkcZoq3SVuhwiIiKqYQx2FurIheuIS86BlVyGSb1bSl0OERER1QIGOwskhMDsrckAgKGd/NDcq4HEFREREVFtYLCzQDvP5ODYpRuwt5Fj4pOBUpdDREREtYTBzsLoDQJzt5WO1o16ohl8XOwlroiIiIhqC4OdhfntuAqpV/Lh6mCD0T1aSF0OERER1SIGOwtSVKLHZztSAQBv9GwBVwcbiSsiIiKi2sRgZ0FWJVyC6uYtNHKxx4tdm0pdDhEREdUyBjsLkVdUgkW70wAAbz4VCHsbK4krIiIiotrGYGchlu47jxuFJWju5YTBjyqlLoeIiIgkwGBnAXLzirFs/wUAwJQ+QbC24mklIiKqj5gALMDCuLMo1OoRqnRF35BGUpdDREREEmGwq+PSrxVi9ZF0AEBM32DIZDKJKyIiIiKpMNjVcfN3pKBELxAW6ImuAZ5Sl0NEREQSYrCrw05lqfH7n1kASkfriIiIqH5jsKvD5m5LAQBEPtIYIQpXiashIiIiqTHY1VEJ569hT0ourOUyTO4TJHU5REREZAYY7OogIQRmb00GAAzr7Iemnk4SV0RERETmgMGuDtp++gqOp9+Eg40VJoQHSl0OERERmQkGuzpGbxDGe+te6tYU3i72EldERERE5oLBro75NTETaTn5cHWwwWvdW0hdDhEREZkRyYKdwWBAQkICJk2aBHd3d6xYscJke3FxMd5++20EBATA19cXTz/9NLKyskzaqFQqDB06FE2bNoVCoUB0dDS0Wq1Jm4SEBISFhcHf3x+BgYFYunRpuVpWrFiBkJAQKJVKdO7cGQcOHKj2/laHohI9Pt+RCgAY26sFXB1sJK6IiIiIzIlkwW758uWYMGECHBwcYGVlVW772LFjcfjwYRw7dgzp6ekIDAxEv379oNfrAQBarRa9e/eGv78/zp07h1OnTiExMRHR0dHGfaSkpCAiIgJvvfUW0tPTsWHDBsyYMQNr1641tlm1ahWmT5+OtWvXIjMzEzExMRgwYAAuXLhQ838IVbQq4RKy1EVo7GqPkV2aSl0OERERmRthBpo0aSKWL19u/Hzp0iUhl8vFsWPHjOuKi4uFh4eH2LBhgxBCiFWrVgkPDw+h1WqNbY4dOybs7OxEbm6uEEKIV155RURFRZkca/78+aJDhw7GzwEBAWL+/PkmbaKiokR0dHSl61er1QKAUKvVlf5OValvaUXozG2iScwm8fORSzV2HCIiIjIvVckZZnmP3d69e+Hj44MOHToY19na2iIiIgJbtmwBAMTFxaFPnz6wsfnncmSHDh3g7u6OuLg4Y5vIyEiTfUdFRSExMRE5OTnIyMhAWlpahW3KjmMuvtl7HjcLS9DCywnPdlBKXQ4RERGZIWupC6iISqWCr69vufW+vr5ITU01tgkJCSnXRqFQQKVS3XU/ZZ9VKhWKi4tN1t3epmwfFSkuLjZ+FwA0Gk1luvXAcvKK8O3+0kvDUyKCYW1llnmciIiIJGaWCcHGxgZyefnSZDIZhBAP1UYmkwEoneS3bLSvojZl+6jIrFmz4Orqalz8/Pyq0LuqO3TuGrR6A9r5uSGijU+NHouIiIjqLrMcsVMqleWegAWArKwsKBSKh2pT9rmsTdm6gICACvdRkWnTppk8pKHRaGo03D3dToG2ClcUlRiMwZSIiIjoTmY5YhceHo6cnBycOHHCuE6n0yEuLg59+/YFAERERGDHjh3Q6XTGNqdOnUJubi7Cw8ONbWJjY032vW3bNrRr1w4+Pj7w8fFBaGhohW3KjlMROzs7uLi4mCw1rblXA7T2rfnjEBERUd1llsHOy8sLo0aNQnR0NDQaDfR6PaZPnw53d3cMGDAAABAZGQkvLy+899570Ov1UKvVGD9+PEaNGgUvLy8AwLhx47Br1y5s2LABQOn0Jx9//DFiYmKMx4qJicGcOXOM9+6tX78e27dvx7hx42q510REREQPxywvxQLAl19+ibfffhutW7eGXq9H586dsXXrVlhbl5ZsbW2NrVu3YuzYsfDz84NcLseQIUPw6aefGvcREBCATZs2ITo6Gm+88QYcHR3xwQcfYNiwYcY2w4cPh0ajQWRkJPLz86FQKLBp0ya0aMG3OhAREVHdIhP3ekqAKkWj0cDV1RVqtbpWLssSERFR/VGVnGGWl2KJiIiIqOoY7IiIiIgsBIMdERERkYVgsCMiIiKyEAx2RERERBaCwY6IiIjIQjDYEREREVkIBjsiIiIiC8FgR0RERGQhGOyIiIiILASDHREREZGFsJa6AEtQ9rpdjUYjcSVERERkacryRVneuBcGu2qQl5cHAPDz85O4EiIiIrJUeXl5cHV1vWcbmahM/KN7MhgMyMrKgrOzM2QyWY0cQ6PRwM/PDxkZGXBxcamRY5gb9pl9tlTsM/tsqepjn4Ga77cQAnl5efD19YVcfu+76DhiVw3kcjmUSmWtHMvFxaVe/ccCsM/1BftcP7DP9UN97DNQs/2+30hdGT48QURERGQhGOyIiIiILASDXR1hZ2eH999/H3Z2dlKXUmvY5/qBfa4f2Of6oT72GTCvfvPhCSIiIiILwRE7IiIiIgvBYEdERERkIRjszMiKFSsQEhICpVKJzp0748CBA3dtq1KpMHToUDRt2hQKhQLR0dHQarW1WG31qEqfBw4cCA8PDyiVSuMSFhZWi9U+PIPBgISEBEyaNAnu7u5YsWLFPdtbwnmuap8t4TwDwLfffos2bdpAoVCgVatW+Oabb+7Z3hLOdVX7XNfPtUajwZgxY9CkSRP4+fmhQ4cOWLdu3V3bW8I5Bqre77p+nm+XmZkJd3d3vPjii3dtI/l5FmQWVq5cKRo3bizOnDkjhBBi7dq1wtXVVZw/f75c2+LiYtGqVSsxefJkodPpxI0bN0SPHj3E2LFja7vsh1KVPgshRPv27UVsbGxtlljtli1bJjp16iTeeecd4enpKZYvX37XtpZynqvSZyEs4zz/8MMPQqlUipMnTwohhDh9+rTw8fERq1evrrC9JZzrqvZZiLp/rvv27Sv+85//iLy8PCGEELt27RKOjo7i8OHD5dpawjkuU5V+C1H3z3MZg8EgwsPDRdu2bcV//vOfCtuYw3lmsDMTAQEBYv78+SbroqKiRHR0dLm2q1atEh4eHkKr1RrXHTt2TNjZ2Ync3Nwar7W6VKXPQgjh7e0tkpKSaqO0WtGkSZN7hhxLOc+3u1+fhbCM8zxmzJhygSY6Olo888wzFba3hHNd1T4LUffPdW5urigqKjJZ98gjj4gFCxaUa2sJ57hMVfotRN0/z2Xmzp0rIiIixPvvv3/XYGcO55mXYs1ARkYG0tLSEBkZabI+KioKW7ZsKdc+Li4Offr0gY2NjXFdhw4d4O7ujri4uBqvtzpUtc9arRa5ubnw9/evrRIlZwnnuaos5TwvWrQIw4cPN1mXlJR01xnpLeFcV7XPlnCuPT09jdNbFBUVYcmSJUhOTq7wMqMlnOMyVem3JZxnAPjrr7/w6aefYvHixfdsZw7nmcHODKhUKgCAr6+vyXpfX1/jtjvb39kWABQKRYXtzVFV+5yVlQV7e3ssWbIE7du3R/PmzTFixAikp6fXSr1SsITzXFWWeJ5LSkowfvx4HDp0CJMnT66wjaWd68r02ZLOtZ+fHxwdHfH1119j7dq16NixY7k2lnaOgcr12xLOc1FREUaMGIFPP/0UzZs3v2dbczjPDHZmoCzZ3/liX5lMBlHBNIM2NjYVvgT4bu3NUVX7rFar4eXlhcaNG+PgwYNISkqCp6cnwsPDUVBQUCs11zZLOM9VZWnnOT09HWFhYdi1axf279+PkJCQCttZ0rmubJ8t6VxnZGTg+vXriIqKwvfff19h/ZZ0jstUpt+WcJ6nTp2KFi1a4JVXXrlvW3M4zwx2ZkCpVAIo/c3mdllZWVAoFBW2v7Ptvdqbo6r2OTQ0FJcuXcLzzz8PBwcHODk5YcGCBcjOzkZ8fHyt1FzbLOE8V5Ulnedjx46hU6dO6NatG44fP47Q0NC7trWUc12VPlvSuQYANzc3fPjhh8jKysLChQvLbbeUc3yn+/W7rp/n7du343//+x+WLl1aqfbmcJ4Z7MyAj48PQkNDERsba7J+27Zt6Nu3b7n2ERER2LFjB3Q6nXHdqVOnkJubi/Dw8BqvtzpUtc9A6bQZtxNCwGAwQCaT1VidUrKE8/wgLOE8p6eno3///li4cCHmzZt339cMWcK5rmqfgbp9rg0GAzZt2lRuvaenJy5fvlxuvSWcY6Dq/S77zu3q0nmOjY1FTk4OfHx8IJPJIJPJMHPmTHz//feQyWTYuXOnSXuzOM+18ogG3dfq1auFQqEQKSkpQgghfvvtN+Hi4iLS0tLKtS0pKRFt2rQRb7/9ttDpdOLmzZuiV69e4vXXX6/tsh9KVfp84MABERAQII4cOSKEEOLWrVtizJgxIjAwsNzTWXXF/Z4QtZTzfLv79dlSznO/fv3EBx98UOn2lnCuq9rnun6us7OzhY+Pj/jggw+M9W7dulXY2tqK7du3l2tvCedYiKr3u66f54rc66lYczjPDHZm5OuvvxaBgYGicePGomPHjmLfvn1CCCEyMjKEQqEQv/zyi7FtRkaGGDhwoGjcuLFQKBTizTffrJP/kVSlzytWrBDt27cXCoVCeHh4iH/961/iwoULElX+8O4MOZZ8nstUps+WcJ4BCG9vb6FQKMotQljmuX6QPtf1c33hwgUxdOhQ4evrKxo3bizatWtnnPLFEs9xmar2u66f5zvdHuzM8TzLhKijd20SERERkQneY0dERERkIRjsiIiIiCwEgx0RERGRhWCwIyIiIrIQDHZEREREFoLBjoiIiMhCMNgRERERWQhrqQsgIqovevbsib/++qvc67b0ej2srKyQnZ0tUWVEZCk4YkdEVItWrlyJ7Oxsk+Xo0aNSl0VEFoLBjoiIiMhC8FIsEVEtevnll+Hg4GCyTqfTSVQNEVkaBjsiolr07bffIjIy0mTdxYsX8fjjj0tUERFZEl6KJSKqJUIIyOX8Z5eIag5H7IiIaklRURFGjRrFS7FEVGMY7IiIaolarcbOnTvRtm1bk/W8FEtE1YXXBIiIaoFOp0NmZib8/f2lLoWILBiDHRFRLdi9ezf8/f3h6uoqdSlEZMEY7IiIasH8+fMxbNgw42etVovk5GTcuHED169f50MVRFQteI8dEVENO378OP7880+sXr3auM5gMKBHjx64efMm9Ho9nnvuOQkrJCJLIRNCCKmLICKydJmZmVAqlVKXQUQWjsGOiIiIyELwpg4iIiIiC8FgR0RERGQhGOyIiIiILASDHREREZGFYLAjIiIishAMdkREREQWgsGOiIiIyEIw2BERERFZCAY7IiIiIgvBYEdERERkIf4fJQLXxWFbUgQAAAAASUVORK5CYII=
" alt="figure" />
<h2><span id="toc3">2. 目盛りを調整して、グラフの精度と読みやすさを向上させる（Major/Minor ・間隔・向き）</span></h2>
<p>目盛りは、グラフが示す数値の精度を伝える上で非常に重要です。Major 目盛りと Minor 目盛りを適切に使い分け、間隔や表示形式を調整することで、グラフの読みやすさを格段に向上させることができます。</p>
<p>MultipleLocatorは、何単位ごとにMajor目盛りを表示するかを設定します。また、AutoMinorLocatorは、Major目盛りの間に、Minor目盛りを自動で何本入れるかを決定します。</p>
<pre class="line-numbers"><code class="language-python">import matplotlib.pyplot as plt

!pip install japanize-matplotlib &gt; /dev/null # Google Colab の機能を使って日本語フォントをインストール・インポート
import japanize_matplotlib

# 目盛りの位置を制御する MultipleLocatorとAutoMinorLocatorをインポート
from matplotlib.ticker import MultipleLocator, AutoMinorLocator

# 1番目のコードと同じデータを使用
x = [0, 1, 2, 3, 4]
y = [10000, 23000, 18000, 30000, 28000]

fig, ax = plt.subplots()
ax.plot(x, y, marker=&quot;o&quot;)
ax.set_title(&quot;売上の推移&quot;)
ax.set_xlabel(&quot;月&quot;)
ax.set_ylabel(&quot;売上（円）&quot;)


# x軸について、Major目盛りを1、Minor目盛りを2分割（1番目のコードと比較して、X軸のMajor目盛りの間隔が明確になり、Minor目盛りが追加されているのが分かります）
ax.xaxis.set_major_locator(MultipleLocator(1))
ax.xaxis.set_minor_locator(AutoMinorLocator(2))
# y軸について、Major目盛りを5000刻み、Minor目盛りを5分割
ax.yaxis.set_major_locator(MultipleLocator(5000))
ax.yaxis.set_minor_locator(AutoMinorLocator(5))


# 目盛りの向きや長さ（1番目のコードと比較して、目盛りが外側に出て長さが変わっているのが分かります）
ax.tick_params(axis=&quot;x&quot;, which=&quot;major&quot;, direction=&quot;out&quot;, length=6)
ax.tick_params(axis=&quot;x&quot;, which=&quot;minor&quot;, direction=&quot;out&quot;, length=3)
ax.tick_params(axis=&quot;y&quot;, which=&quot;major&quot;, direction=&quot;out&quot;, length=6)
ax.tick_params(axis=&quot;y&quot;, which=&quot;minor&quot;, direction=&quot;out&quot;, length=3)


# ラベル回転 (ここでは回転しない設定ですが、必要に応じて角度を変更できます)
for label in ax.get_xticklabels():
    label.set_rotation(0)   # 反時計回りに0度, 30度, 45度回転 など
# ラベルの文字の中心が、対応する目盛り線（ティック）の位置にくるように調整されます。
    label.set_horizontalalignment(&quot;center&quot;)
# Y軸のラベルも調整(ラベルの文字の中央が、対応するY軸の目盛り線と一致するように配置)
for label in ax.get_yticklabels():
     label.set_verticalalignment(&quot;center&quot;)


plt.tight_layout()
plt.show()</code></pre>
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
" alt="figure" />
<h2><span id="toc4">3. 数値フォーマットで、データの「意味」を正確に伝える（桁区切り・%）</span></h2>
<p>グラフに表示される数値は、それが金額なのか、あるいは割合なのかによって、最適な表示形式が異なります。桁区切り、パーセント表示などを適切に使い分けることで、データの持つ意味をより正確に、そして直感的に伝えることが可能になります。</p>
<p>Matplotlib には、StrMethodFormatter, PercentFormatter, FuncFormatter など、目的に合わせた様々なフォーマッターが用意されています。</p>
<pre class="line-numbers"><code class="language-python">import matplotlib.pyplot as plt

!pip install japanize-matplotlib &gt; /dev/null # Google Colab の機能を使って日本語フォントをインストール・インポート
import japanize_matplotlib


#　StrMethodFormatter, PercentFormatterをインポート
from matplotlib.ticker import StrMethodFormatter, PercentFormatter

# 最初のコードと同じデータを使用
x = [0, 1, 2, 3, 4]
y = [10000, 23000, 18000, 30000, 28000]

fig, ax = plt.subplots()
ax.plot(x, y, marker=&quot;o&quot;) # 折れ線グラフで表示

# 桁区切り（12,000 形式）
ax.yaxis.set_major_formatter(StrMethodFormatter(&quot;{x:,.0f}&quot;))

# %表示（0.0〜1.0を0〜100%として表示する場合の例）
# ax.yaxis.set_major_formatter(PercentFormatter(xmax=1.0, decimals=0))


ax.set_title(&quot;売上の推移&quot;)
ax.set_xlabel(&quot;月&quot;)
ax.set_ylabel(&quot;売上（円）&quot;)
plt.tight_layout()
plt.show()</code></pre>
<img decoding="async" 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
" alt="figure" />
<p>さらに、<code>FuncFormatter</code> を使えば、独自の関数を定義して、より自由度の高い数値フォーマットを実現できます。例えば、特定の通貨記号を付けたり、条件に応じて表示形式を切り替えたりといった、細やかなカスタマイズが可能です。</p>
<pre class="line-numbers"><code class="language-python">import matplotlib.pyplot as plt

!pip install japanize-matplotlib &gt; /dev/null # Google Colab の機能を使って日本語フォントをインストール・インポート
import japanize_matplotlib

# FuncFormatterをインポート
from matplotlib.ticker import FuncFormatter


# 最初のコードと同じデータを使用
x = [0, 1, 2, 3, 4]
y = [10000, 23000, 18000, 30000, 28000]

def yen(x, pos):
    return f&quot;¥{x:,.0f}&quot;

fig, ax = plt.subplots()
ax.plot(x, y, marker=&quot;o&quot;)
ax.yaxis.set_major_formatter(FuncFormatter(yen))
ax.set_title(&quot;売上の推移&quot;)
ax.set_xlabel(&quot;月&quot;)
ax.set_ylabel(&quot;売上&quot;)
plt.tight_layout()
plt.show()</code></pre>
<img decoding="async" 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
" alt="figure" />
<h2><span id="toc5">4. 注釈と矢印で、グラフの「ここがポイント！」を明確に示す（annotate）</span></h2>
<p>グラフの中で特に注目してほしいデータポイントや、重要なイベント発生箇所などを解説したい場合に絶大な効果を発揮するのが「注釈（annotate）」です。テキストと矢印を組み合わせることで、グラフ上の特定の要素を指し示し、補足説明を分かりやすく加えることができます。</p>
<p><code>arrowprops</code> を設定すれば、矢印のスタイル、色、太さなども自由にカスタマイズでき、より表現力豊かな注釈を作成できます。</p>
<pre class="line-numbers"><code class="language-python">import matplotlib.pyplot as plt

!pip install japanize-matplotlib &gt; /dev/null # Google Colab の機能を使って日本語フォントをインストール・インポート
import japanize_matplotlib


# 最初のコードと同じデータを使用
x = [0, 1, 2, 3, 4]
y = [10000, 23000, 18000, 30000, 28000]

fig, ax = plt.subplots()
ax.plot(x, y, marker=&quot;o&quot;)

# リストyの中で最大値を持つ要素のインデックス（位置）を取得する。peak_idx=3
peak_idx = y.index(max(y))

# ピークの月に注釈を追加
ax.annotate(&quot;ピーク&quot;, xy=(x[peak_idx], y[peak_idx]), xytext=(x[peak_idx]+0.5, y[peak_idx]+5000), # xytextのY座標も調整
            arrowprops=dict(arrowstyle=&quot;wedge,tail_width=0.7&quot;, lw=1.5, fc=&quot;red&quot;, ec=&quot;red&quot;)) # 矢印スタイルを変更

ax.set_title(&quot;売上の推移&quot;)
ax.set_xlabel(&quot;月&quot;)
ax.set_ylabel(&quot;売上（円）&quot;)
plt.tight_layout()
plt.show()</code></pre>
<img decoding="async" 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
" alt="figure" />
<p>【コードの補足】</p>
<p><code>ax.annotate()</code>関数は、グラフにテキストと矢印を追加します。主な引数は以下の通りです。</p>
<ul>
<li><strong>最初の引数</strong>: グラフ上に表示される注釈テキスト（例: &#8220;ピーク&#8221;）。</li>
<li><strong><code>xy</code></strong>: 矢印の先端が指すグラフ上の<strong>データ座標</strong>。この例では売上ピークの月と売上額を指定。</li>
<li><strong><code>xytext</code></strong>: 注釈テキストが配置される<strong>表示座標</strong>。ピークのデータポイントから少し右上にずらして配置しています。</li>
<li><strong><code>arrowprops</code></strong>: 矢印のスタイルをカスタマイズする辞書。ここでは以下の設定をしています。</li>
<li><code>arrowstyle="wedge,tail_width=0.7"</code>: くさび形の矢印。</li>
<li><code>lw</code>: 線幅。</li>
<li><code>fc</code>: 塗りつぶし色。</li>
<li><code>ec</code>: 縁の色。</li>
<li>これにより、赤色の強調された矢印を作成しています。</li>
</ul>
<h2><span id="toc6">5. 領域強調で、特定の範囲や期間を視覚的にハイライトする（axvspan/axhspan）</span></h2>
<p>グラフ上で特定の期間や数値の範囲を強調して見せたい場合に非常に便利なのが、<code>axvspan</code> (垂直方向の帯) と <code>axhspan</code> (水平方向の帯) です。これらの関数を使うと、グラフ上に簡単に色付きの帯状領域を描画し、特定の範囲を視覚的に際立たせることができます。</p>
<p>例えば、特定のキャンペーン期間や、目標値として設定した範囲を示す際などに効果的です。</p>
<pre class="line-numbers"><code class="language-python">import matplotlib.pyplot as plt

!pip install japanize-matplotlib &gt; /dev/null # Google Colab の機能を使って日本語フォントをインストール・インポート
import japanize_matplotlib


# 最初のコードと同じデータを使用
x = [0, 1, 2, 3, 4]
y = [10000, 23000, 18000, 30000, 28000]

fig, ax = plt.subplots()
ax.plot(x, y, marker=&quot;o&quot;)

# x=2〜4の範囲（2ヶ月目から4ヶ月目）を薄く着色
ax.axvspan(2, 4, alpha=0.15, label=&quot;キャンペーン期間&quot;) # ラベルを追加
ax.set_title(&quot;売上の推移&quot;)
ax.set_xlabel(&quot;月&quot;)
ax.set_ylabel(&quot;売上（円）&quot;)
ax.legend() # 凡例を表示
plt.tight_layout()
plt.show()</code></pre>
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
" alt="figure" />
<h2><span id="toc7">6. 凡例を使いこなす：複数のデータ系列を分かりやすく整理する</span></h2>
<p>複数のデータ系列を一つのグラフに重ねて表示する場合、凡例はグラフを理解するための羅針盤となります。どの線や棒がどのデータを表しているのかを明確に示すことで、グラフの解読をスムーズにします。</p>
<p>凡例はグラフ内に配置するだけでなく、グラフの外側に配置して描画領域を最大限に活用することも可能です。また、凡例の項目を複数列にしたり、枠線や背景色などの装飾を施したりすることで、さらに見やすく整理できます。</p>
<pre class="line-numbers"><code class="language-python">import matplotlib.pyplot as plt

!pip install japanize-matplotlib &gt; /dev/null # Google Colab の機能を使って日本語フォントをインストール・インポート
import japanize_matplotlib

# 最初のコードと同じデータを使用
x = [0, 1, 2, 3, 4]
y1 = [10000, 23000, 18000, 30000, 28000]

# データを追加
y2 = [15000, 18000, 25000, 22000, 35000]

fig, ax = plt.subplots()
ax.plot(x, y1, marker=&quot;o&quot;, label=&quot;売上A&quot;)
ax.plot(x, y2, marker=&quot;o&quot;, label=&quot;売上B&quot;) # 追加データをプロット

# 外出し：右側中央
ax.legend(loc=&quot;center left&quot;, bbox_to_anchor=(1.02, 0.5), borderaxespad=0)


# 装飾（枠・角丸・透明度・タイトル）
leg = ax.get_legend()
leg.set_title(&quot;凡例&quot;)
leg.get_frame().set_alpha(0.9)   # 透明度
leg.get_frame().set_linewidth(0.8)

ax.set_title(&quot;売上の推移&quot;)
ax.set_xlabel(&quot;月&quot;)
ax.set_ylabel(&quot;売上（円）&quot;)
plt.tight_layout()
plt.show()</code></pre>
<img decoding="async" 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
" alt="figure" />
<p>【コードの補足：ax.legend()関数】</p>
<ul>
<li>loc パラメータ: 設定値 center left</li>
</ul>
<ul>
<li>凡例ボックス の アンカーポイント を、凡例自体の 左端の中央 に設定します。</li>
<li>bbox_to_anchor パラメータ: 設定値 (1.02, 0.5)</li>
</ul>
<ul>
<li>凡例のアンカーポイントを、Axes (グラフ本体の描画領域) のどの座標に配置するかを指定します。</li>
<li>1.02 (X座標): Axesの右端 (1.0) から Axes幅の2%分外側 (右側) を指定します。</li>
<li>0.5 (Y座標): Axesの 垂直方向の中央 を指定します。</li>
<li>borderaxespad パラメータ: 設定値 0</li>
<li>凡例がAxesの外側に配置される際、Axesとの間に設ける 余白 (パディング) を指定します。0は余白なしを意味します。</li>
</ul>
<p>凡例の項目が多い場合にスペースを節約したいときは、グラフの下部中央に複数列で凡例を配置するのが効果的です。その例を見てみましょう。</p>
<pre class="line-numbers"><code class="language-python">import matplotlib.pyplot as plt

!pip install japanize-matplotlib &gt; /dev/null # Google Colab の機能を使って日本語フォントをインストール・インポート
import japanize_matplotlib

# 最初のコードと同じデータを使用。
x = [0, 1, 2, 3, 4]
y1 = [10000, 23000, 18000, 30000, 28000]
y2 = [15000, 18000, 25000, 22000, 35000]
y3 = [12000, 20000, 22000, 28000, 32000] # 3つ目のデータを追加

fig, ax = plt.subplots()
ax.plot(x, y1, marker=&quot;o&quot;, label=&quot;売上A&quot;)
ax.plot(x, y2, marker=&quot;o&quot;, label=&quot;売上B&quot;)
ax.plot(x, y3, marker=&quot;o&quot;, label=&quot;売上C&quot;) # 3つ目のデータをプロット

ax.legend(loc=&quot;upper center&quot;, bbox_to_anchor=(0.5, -0.15), ncol=3, frameon=True)

ax.set_title(&quot;売上の推移&quot;)
ax.set_xlabel(&quot;月&quot;)
ax.set_ylabel(&quot;売上（円）&quot;)
plt.tight_layout()
plt.show()</code></pre>
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
" alt="figure" />
<p>【コードの補足：ax.legend()関数】</p>
<ul>
<li>loc パラメータ: 設定値 upper center</li>
</ul>
<ul>
<li>凡例ボックス の アンカーポイント を、凡例自体の 上端の中央 に設定します。</li>
<li>bbox_to_anchor パラメータ: 設定値 (0.5, -0.15)</li>
</ul>
<ul>
<li>凡例のアンカーポイントを、Axes (グラフ本体の描画領域) のどの座標に配置するかを指定します。</li>
<li>0.5 (X座標): Axesの 水平方向の中央 を指定します。</li>
<li>-0.15 (Y座標): Axesの下端 (0.0) から Axesの高さの15%分 外側 (下側) を指定します。</li>
<li>ncol パラメータ: 設定値 3</li>
</ul>
<ul>
<li>凡例の項目を 3列 に並べて表示します。長い凡例をコンパクトにまとめるのに役立ちます。</li>
<li>frameon パラメータ: 設定値 True</li>
</ul>
<ul>
<li>凡例の周囲に 枠線（フレーム）を表示します。</li>
</ul>
<p>凡例に表示されるラベルは、通常 <code>plot</code> 関数などで指定した <code>label</code> 引数が自動的に使われます。しかし、<code>Line2D</code> オブジェクトなどを利用することで、凡例に表示する「ハンドル（線やマーカー）」と「ラベルテキスト」を後から自由に組み合わせて設定することも可能です。これにより、より柔軟な凡例のカスタマイズが可能になります。</p>
<pre class="line-numbers"><code class="language-python">import matplotlib.pyplot as plt

!pip install japanize-matplotlib &gt; /dev/null # Google Colab の機能を使って日本語フォントをインストール・インポート
import japanize_matplotlib

# Line2Dをインポート
from matplotlib.lines import Line2D

# 最初のコードと同じデータを使用
x = [0, 1, 2, 3, 4]
y1 = [10000, 23000, 18000, 30000, 28000]
y2 = [15000, 18000, 25000, 22000, 35000]

fig, ax = plt.subplots()
# labelは指定せず、後でhandlesとlabelsで設定
l1, = ax.plot(x, y1, marker=&quot;o&quot;, color=&quot;C0&quot;)
l2, = ax.plot(x, y2, marker=&quot;o&quot;, color=&quot;C1&quot;)

# handlesとlabelsを個別に定義して凡例を作成
handles = [Line2D([0], [0], color=&quot;C0&quot;, marker=&quot;o&quot;), # マーカーも表示
           Line2D([0], [0], color=&quot;C1&quot;, marker=&quot;o&quot;)]
labels = [&quot;シリーズα&quot;, &quot;シリーズβ&quot;] # ラベルテキストを任意に設定
ax.legend(handles, labels, loc=&quot;best&quot;)

ax.set_title(&quot;売上の推移&quot;)
ax.set_xlabel(&quot;月&quot;)
ax.set_ylabel(&quot;売上（円）&quot;)
plt.tight_layout()
plt.show()</code></pre>
<img decoding="async" 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
" alt="figure" />
<h2><span id="toc8">7. これで解決！Matplotlib グラフ作成でよくある「困った！」と対策</span></h2>
<p>Matplotlib でグラフを作成していると、「あれ？思った通りにならないな…」という場面に遭遇することは少なくありません。ここでは、多くの人が経験するであろう、よくある「ハマりどころ」とその効果的な解決策をまとめました。</p>
<ul>
<li><strong>凡例をグラフの外に出したら、グラフの一部が切れてしまう</strong>: グラフをファイルに保存する際に、<code>fig.savefig(..., bbox_inches="tight")</code> を使うのが定番の解決策です。</li>
<li><strong>軸ラベルや目盛りのラベルが重なって読みにくい</strong>: まずは <code>plt.tight_layout()</code> や <code>fig.set_constrained_layout(True)</code> を試してみましょう。それでも改善しない場合は、ラベルを回転させるか、図全体のサイズやレイアウトを調整する必要があります。</li>
<li><strong>意図せず数値が指数表記（科学表記）になってしまう</strong>: <code>ScalarFormatter</code> を使用し、<code>set_powerlimits()</code> で指数表記に切り替わる数値の範囲を細かく制御できます。</li>
<li><strong>Minor 目盛りが表示されない</strong>: <code>AutoMinorLocator</code> などのロケーターを設定するだけでなく、<code>ax.tick_params(which="minor", ...)</code> で minor 目盛りの表示設定（長さや色など）も忘れずに行う必要があります。</li>
</ul>
<h2><span id="toc9">まとめ：見やすいグラフ作成のための Matplotlib 重要テクニック集</span></h2>
<p>この記事で解説した、Matplotlib を使って「伝わるグラフ」を作成するための重要な設定テクニックを最後におさらいしましょう。これらのポイントを押さえるだけで、あなたのグラフはより魅力的で、データが語りかけるメッセージが明確になるはずです！</p>
<ul>
<li><strong>目盛りの調整</strong>: <code>MultipleLocator</code> や <code>AutoMinorLocator</code> で Major/Minor 目盛りの間隔を自在に設定し、<code>tick_params</code> で見た目を細かく調整。</li>
<li><strong>数値フォーマット</strong>: <code>StrMethodFormatter</code>, <code>PercentFormatter</code>, <code>FuncFormatter</code> を使い分け、金額や割合、科学的な値を最も分かりやすい形式で表示。</li>
<li><strong>注釈と強調</strong>: <code>annotate</code> でグラフのキーポイントに解説を加え、<code>axvspan</code>/<code>axhspan</code> で特定の範囲を視覚的にハイライト。</li>
<li><strong>凡例</strong>: <code>loc</code>, <code>bbox_to_anchor</code>, <code>ncol</code> で最適な配置とレイアウトを実現し、<code>get_legend().get_frame()</code> で装飾をカスタマイズ。</li>
</ul>
<p>これらのテクニックをぜひあなたのグラフ作成ワークフローに取り入れてみてください。きっと、データ分析の結果をより効果的に伝えることができるようになるでしょう！</p>

<article><!-- ① シリーズナビゲーション --><nav class="series-nav"><a class="prev-link" href="https://pythondatalab.com/matplotlib-hist-boxplot/">◀ 前回：Matplotlib ヒストグラム＆箱ひげ図 入門：bins設定と外れ値の可視化・分析【第５回】</a><a class="next-link" href="https://pythondatalab.com/matplotlib-colormap-colorbar-accessibilit/">次回：Matplotlib配色とカラーマップ徹底解説：データ可視化を「伝わるグラフ」に変えるPython術【色覚バリアフリー対応【第７回】▶</a></nav></article>
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		<title>Matplotlib ヒストグラム＆箱ひげ図 入門：bins設定と外れ値の可視化・分析【第５回】</title>
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		<pubDate>Sun, 07 Sep 2025 10:21:51 +0000</pubDate>
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					<description><![CDATA[<p>PythonのMatplotlibを使ったヒストグラムと箱ひげ図の基本を初心者向けに解説。bins設定の方法やIQRによる外れ値検出、データ分布の可視化テクニックを学べます。実務で役立つデータ分析の入門記事です。 Con [&#8230;]</p>
<p>&lt;p&gt;The post <a rel="nofollow" href="https://pythondatalab.com/matplotlib-hist-boxplot/">Matplotlib ヒストグラム＆箱ひげ図 入門：bins設定と外れ値の可視化・分析【第５回】</a> first appeared on <a rel="nofollow" href="https://pythondatalab.com">Python Data Lab（Pythonデータラボ）</a>.&lt;/p&gt;</p>
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PythonのMatplotlibを使ったヒストグラムと箱ひげ図の基本を初心者向けに解説。bins設定の方法やIQRによる外れ値検出、データ分布の可視化テクニックを学べます。実務で役立つデータ分析の入門記事です。

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<p><strong>データ分析</strong>において、データの<strong>分布</strong>の形や<strong>外れ値</strong>の有無を確認することは非常に重要です。「ヒストグラムの適切なbins設定が分からない」「箱ひげ図で外れ値がどう表現されているか理解したい」といった悩みはありませんか？本記事では、<strong>Python</strong> の <strong>Matplotlib</strong> と <strong>seaborn</strong> を用いて<strong>ヒストグラム</strong>と<strong>箱ひげ図（Box Plot）</strong>を描く方法、<strong>bins</strong> の設計や <strong>IQR</strong> による<strong>外れ値検出</strong>・分析まで、データ分析の実践的な観点で<strong>初心者</strong>にも分かりやすく解説します。この記事を読めば、データの<strong>分布</strong>と<strong>外れ値</strong>を正確に把握し、より質の高い<strong>データ分析</strong>ができるようになります。</p>

<h2><span id="toc1">この記事でわかること：データ分布の可視化と外れ値分析の完全ガイド</span></h2>
<p>本記事では、<strong>データ分析初心者</strong>の方に向けて、<strong>データ分析</strong>において非常に重要な「<strong>データの分布</strong>」を理解するための主要な可視化手法である<strong>ヒストグラム</strong>と<strong>箱ひげ図（Box Plot）</strong>に焦点を当てて解説します。これらのグラフは、単にデータを可視化するだけでなく、<strong>顧客の購買傾向の把握</strong>（どの価格帯の商品がよく売れるか、売上の分布）、<strong>製品の品質管理</strong>（製品のばらつきは許容範囲か、不良品の特定）、<strong>マーケティング施策の効果測定</strong>（施策前後で顧客の反応分布はどう変わったか、効果の偏り）など、様々なビジネスや研究の課題解決に役立ちます。さらに、これらの図を通して<strong>データの偏り</strong>や<strong>外れ値</strong>を視覚的に捉えることが、より正確な分析には不可欠です。</p>
<p>具体的には、<strong>Python</strong> の主要なデータ可視化ライブラリである <strong>Matplotlib</strong> と <strong>seaborn</strong> を使って、以下の内容を学ぶことができます。</p>
<ul>
<li><strong>ヒストグラムの基本:</strong> データの<strong>度数分布</strong>を視覚化する。</li>
<li><strong>bins の適切な決め方:</strong> ヒストグラムの見た目を左右する <strong>bins 設定</strong>（auto / sturges / fd ほか）の使い分けと特徴。<strong>データ分析初心者</strong>にも分かりやすい解説を心がけます。<strong>ヒストグラム</strong>の解釈力を高めます。</li>
<li><strong>密度表示と重ね描き:</strong> 異なるグループ間での分布比較に役立つテクニック（<code>density=True</code>, <code>histtype="step"</code>）。<strong>データ分布</strong>の比較をより正確に行います。</li>
<li><strong>箱ひげ図の仕組み:</strong> <strong>中央値</strong>、<strong>四分位数</strong>、ひげ、<strong>外れ値</strong>といった主要な要素の理解。<strong>箱ひげ図</strong>からデータの要約情報を読み取ります。</li>
<li><strong>箱ひげ図の応用:</strong> <code>whis</code>, <code>showmeans</code>, <code>patch_artist</code> などのオプションで詳細を表示。<strong>箱ひげ図</strong>をカスタマイズして分析を深めます。</li>
<li><strong>IQR（四分位範囲）による外れ値検出と可視化:</strong> <strong>統計的な手法</strong>で<strong>外れ値</strong>を特定し、<strong>ヒストグラム</strong>と組み合わせてグラフ上で明確に示す方法。<strong>異常値検出</strong>の重要な手法です。</li>
</ul>
<p>これらの<strong>可視化手法</strong>と<strong>外れ値分析</strong>を通じて、<strong>データ分析</strong>の基礎を習得し、データの<strong>分布</strong>や特徴をより深く理解することできます。</p>
<p>▶️ Matplotlib の公式ドキュメントも参考にしてください：</p>
<a rel="noopener" href="https://matplotlib.org/stable/api/_as_gen/matplotlib.pyplot.hist.html" target="_blank">ヒストグラム</a></p>
<a rel="noopener" href="https://matplotlib.org/stable/api/_as_gen/matplotlib.pyplot.boxplot.html" target="_blank">箱ひげ図</a></p>

<h2><span id="toc2">1. ヒストグラムの基本とデータ準備：データ分布の全体像を掴む</span></h2>
<p><strong>データ分析</strong>の第一歩として、データの全体像を掴むことは非常に重要です。そのために最もよく用いられるグラフの一つが<strong>ヒストグラム</strong>です。<strong>ヒストグラム</strong>は、データをいくつかの区間（ビン、階級）に分け、それぞれの区間に含まれるデータの個数（度数）を棒グラフで表現することで、データの<strong>分布</strong>の形状、<strong>データの集中度</strong>、<strong>歪み</strong>、<strong>ピークの数</strong>などを視覚的に捉えることができます。これは<strong>データ分析</strong>における基本的な<strong>可視化手法</strong>です。</p>
<p>ここでは、<strong>Python</strong> のデータ可視化ライブラリである <strong>Matplotlib</strong> を用いた<strong>ヒストグラム</strong>の基本的な描画方法を見ていきましょう。データの前処理や確認には、<strong>pandas</strong> ライブラリを使用します。</p>
<p>本記事では、例として <strong>seaborn</strong> ライブラリに組み込まれている <strong><code>tips</code> データセット</strong>を使用します。このデータセットには、あるレストランでのチップに関する情報（合計金額、チップ額、性別、喫煙の有無、曜日、時間帯、人数）が含まれており、<strong>データ分析</strong>の練習によく用いられます。このデータセットを使って、合計金額やチップ額の<strong>分布</strong>を分析してみましょう。このデータセットは広く利用されており、<strong>データ分析の学習</strong>に適しています。</p>

<pre class="line-numbers"><code class="language-python">import numpy as np # numpyをインポート
import matplotlib.pyplot as plt
import pandas as pd # pandasをインポート
import seaborn as sns # seabornをインポートしてtipsデータセットを使用
import japanize_matplotlib # Google Colab の機能を使って日本語フォントをインストール・インポート

!pip install japanize-matplotlib &gt; /dev/null

# tipsデータセットを読み込む
tips_df = sns.load_dataset(&quot;tips&quot;)
display(tips_df)

fig, ax = plt.subplots()
# tips_dfの&quot;total_bill&quot;列を指定してヒストグラムを描画
ax.hist(tips_df[&quot;total_bill&quot;], bins=20, color=&quot;skyblue&quot;, edgecolor=&quot;white&quot;)
ax.set_title(&quot;合計金額のヒストグラム&quot;)
ax.set_xlabel(&quot;合計金額&quot;)
ax.set_ylabel(&quot;度数&quot;)
plt.show()</code></pre>


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      --bg-color: #E8F0FE;
      --fill-color: #1967D2;
      --hover-bg-color: #E2EBFA;
      --hover-fill-color: #174EA6;
      --disabled-fill-color: #AAA;
      --disabled-bg-color: #DDD;
  }

  [theme=dark] .colab-df-quickchart {
      --bg-color: #3B4455;
      --fill-color: #D2E3FC;
      --hover-bg-color: #434B5C;
      --hover-fill-color: #FFFFFF;
      --disabled-bg-color: #3B4455;
      --disabled-fill-color: #666;
  }

  .colab-df-quickchart {
    background-color: var(--bg-color);
    border: none;
    border-radius: 50%;
    cursor: pointer;
    display: none;
    fill: var(--fill-color);
    height: 32px;
    padding: 0;
    width: 32px;
  }

  .colab-df-quickchart:hover {
    background-color: var(--hover-bg-color);
    box-shadow: 0 1px 2px rgba(60, 64, 67, 0.3), 0 1px 3px 1px rgba(60, 64, 67, 0.15);
    fill: var(--button-hover-fill-color);
  }

  .colab-df-quickchart-complete:disabled,
  .colab-df-quickchart-complete:disabled:hover {
    background-color: var(--disabled-bg-color);
    fill: var(--disabled-fill-color);
    box-shadow: none;
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  .colab-df-spinner {
    border: 2px solid var(--fill-color);
    border-color: transparent;
    border-bottom-color: var(--fill-color);
    animation:
      spin 1s steps(1) infinite;
  }

  @keyframes spin {
    0% {
      border-color: transparent;
      border-bottom-color: var(--fill-color);
      border-left-color: var(--fill-color);
    }
    20% {
      border-color: transparent;
      border-left-color: var(--fill-color);
      border-top-color: var(--fill-color);
    }
    30% {
      border-color: transparent;
      border-left-color: var(--fill-color);
      border-top-color: var(--fill-color);
      border-right-color: var(--fill-color);
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    40% {
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    }
    60% {
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      border-right-color: var(--fill-color);
    }
    80% {
      border-color: transparent;
      border-right-color: var(--fill-color);
      border-bottom-color: var(--fill-color);
    }
    90% {
      border-color: transparent;
      border-bottom-color: var(--fill-color);
    }
  }
</style>

      <script>
        async function quickchart(key) {
          const quickchartButtonEl =
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          quickchartButtonEl.disabled = true;  // To prevent multiple clicks.
          quickchartButtonEl.classList.add('colab-df-spinner');
          try {
            const charts = await google.colab.kernel.invokeFunction(
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          } catch (error) {
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    </div>

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    <style>
      .colab-df-generate {
        background-color: #E8F0FE;
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        border-radius: 50%;
        cursor: pointer;
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        height: 32px;
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      }

      [theme=dark] .colab-df-generate {
        background-color: #3B4455;
        fill: #D2E3FC;
      }

      [theme=dark] .colab-df-generate:hover {
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        box-shadow: 0px 1px 3px 1px rgba(0, 0, 0, 0.15);
        filter: drop-shadow(0px 1px 2px rgba(0, 0, 0, 0.3));
        fill: #FFFFFF;
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    </style>
    <button class="colab-df-generate" onclick="generateWithVariable('tips_df')"
            title="Generate code using this dataframe."
            style="display:none;">

  <svg xmlns="http://www.w3.org/2000/svg" height="24px"viewBox="0 0 24 24"
       width="24px">
    <path d="M7,19H8.4L18.45,9,17,7.55,7,17.6ZM5,21V16.75L18.45,3.32a2,2,0,0,1,2.83,0l1.4,1.43a1.91,1.91,0,0,1,.58,1.4,1.91,1.91,0,0,1-.58,1.4L9.25,21ZM18.45,9,17,7.55Zm-12,3A5.31,5.31,0,0,0,4.9,8.1,5.31,5.31,0,0,0,1,6.5,5.31,5.31,0,0,0,4.9,4.9,5.31,5.31,0,0,0,6.5,1,5.31,5.31,0,0,0,8.1,4.9,5.31,5.31,0,0,0,12,6.5,5.46,5.46,0,0,0,6.5,12Z"/>
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    <script>
      (() => {
      const buttonEl =
        document.querySelector('#id_9c00fb28-2b14-46a2-83de-4cd7ee14cca7 button.colab-df-generate');
      buttonEl.style.display =
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      buttonEl.onclick = () => {
        google.colab.notebook.generateWithVariable('tips_df');
      }
      })();
    </script>
  </div>

    </div>
  </div>


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
" /></div>

<p><code>ax.hist()</code> は、デフォルトでは階級（bin）の数や範囲をデータから自動で推定してくれます。しかし、bin の設定によって<strong>ヒストグラム</strong>の見え方は大きく変わるため、より詳細に<strong>分布</strong>を把握するには調整が必要です。<strong>データ分析</strong>の目的に合わせて最適な bin 設定を選択することが重要です。細かく調整したい場合は次章を参照してください。<strong>ヒストグラム</strong>の解釈においては、bin の設定が鍵となります。</p>

<h2><span id="toc3">2. bins 設計：ヒストグラムの見え方を左右する階級設定の重要性</span></h2>
<p>前章では基本的な<strong>ヒストグラム</strong>を描画しましたが、<strong>ヒストグラム</strong>の見え方は <strong>bin の数</strong>で大きく変わります。bin の数が少なすぎると大まかすぎて特徴（<strong>データの山</strong>や<strong>谷</strong>、<strong>歪み</strong>など）が見えにくくなり、多すぎるとノイズが多くてかえって分かりにくくなることがあります。<strong>データ分析</strong>の性質や分析の目的に合わせて適切な bin の数を選ぶことは、<strong>ヒストグラム</strong>から<strong>データの分布</strong>を正しく読み取る上で非常に重要です。</p>
<p>本章では、<strong>Matplotlib</strong> が提供する <code>bins</code> の様々な設定方法と、それぞれのルールの特徴について解説します。<strong><code>tips</code> データセット</strong>の <code>total_bill</code> 列を使って、データの性質や目的に合わせて最適な <code>bins</code> の設定を選べるようになりましょう。これらの異なる設定で<strong>ヒストグラム</strong>を比較することで、<code>bins</code> が<strong>分布</strong>の見え方に与える影響を理解できます。<strong>効果的なデータ可視化</strong>のための重要なステップです。</p>

<pre class="line-numbers"><code class="language-python">fig, axs = plt.subplots(1, 3, figsize=(9, 3), constrained_layout=True)
fig.suptitle(&quot;異なる bins 設定のヒストグラム比較（合計金額）&quot;, fontsize=16) # 大きなタイトルを追加
data_to_plot = tips_df[&quot;total_bill&quot;] # tips_dfのtotal_bill列を使用

axs[0].hist(data_to_plot, bins=&quot;sturges&quot;, color=&quot;steelblue&quot;, edgecolor=&quot;white&quot;)
axs[0].set_title(&quot;bins=&#x27;sturges&#x27;&quot;)
axs[1].hist(data_to_plot, bins=&quot;fd&quot;, color=&quot;steelblue&quot;, edgecolor=&quot;white&quot;)
axs[1].set_title(&quot;bins=&#x27;fd&#x27;（Freedman–Diaconis）&quot;)
axs[2].hist(data_to_plot, bins=&quot;auto&quot;, color=&quot;steelblue&quot;, edgecolor=&quot;white&quot;)
axs[2].set_title(&quot;bins=&#x27;auto&#x27;&quot;)
for ax in axs:
    ax.set_xlabel(&quot;合計金額&quot;); ax.set_ylabel(&quot;度数&quot;)
plt.show()</code></pre>

<div class="figure"><img decoding="async" alt="figure" 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
" /></div>

<ul>
<li>&#8220;sturges&#8221;：サンプル数が少ないときに過度に細かくなりにくい</li>
<li>&#8220;fd&#8221;：IQRに基づき、外れ値に比較的ロバスト</li>
<li>&#8220;auto&#8221;：状況に応じて良い感じに調整（便利な初期値）</li>
</ul>
<p>コツ：まず&#8221;auto&#8221;で傾向を見て、必要なら&#8221;fd&#8221;や整数値（例：bins=30）に固定して比較します。</p>

<h2><span id="toc4">3. 密度表示・重ね描き・ステップ表示</span></h2>
<p>ヒストグラムは度数で表示するのが基本ですが、異なるデータセットの分布を比較したい場合など、データの総数が異なる場合には、度数ではなく確率密度として表示する方が適切なケースがあります。また、複数のデータセットの分布を一度に比較するために、ヒストグラムを重ねて描くことも有効です。</p>
<p>ここでは、①<code>density=True</code> オプションを使った密度表示や、複数のヒストグラムを重ねて描く方法、そして ②<code>histtype="step"</code> を用いたステップ表示について、<code>tips</code> データセットの喫煙者と非喫煙者のチップ額を比較する例で紹介します。これらのテクニックを使うことで、より柔軟にデータの分布を比較・分析できるようになります。</p>

<h3><span id="toc5">なぜ密度表示を使うのか？異なるグループの分布比較の利点</span></h3>
<p><strong>ヒストグラム</strong>は通常、各区間のデータ数（度数）を示しますが、異なるデータセットやグループの<strong>分布</strong>を比較したい場合、データの総数（サンプルサイズ）が異なると、<strong>度数分布</strong>では正確な比較が難しくなります。データ総数が多いグループほど、単純にバーが高くなるためです。例えば、喫煙者と非喫煙者でチップ額の<strong>分布</strong>を比較したいとき、それぞれの人数が異なると、単純な度数<strong>ヒストグラム</strong>では人数の多いグループのバーが高くなり、<strong>分布</strong>の「形」そのものを比較しにくくなります。</p>
<p><code>density=True</code> オプションを使うと、<strong>ヒストグラム</strong>の各ビンのデータ数を全データ数で割った<strong>相対度数</strong>、さらにビンの幅で割った<strong>密度</strong>が表示されます。これにより、<strong>ヒストグラム</strong>の全ビンの面積の合計が 1 となり、<strong>グループのサンプルサイズの違いに影響されずに、分布の形状やデータの相対的な集中度を比較</strong>できるようになります。これは、データの「相対的な起こりやすさ」を示す方法と考えることができます。</p>
<p>特に、今回の喫煙者と非喫煙者のように、比較したいグループの人数が異なる場合には、<strong>密度分布</strong>で表示する方が<strong>分布</strong>の傾向をより適切に比較できます。これにより、「どちらのグループの方が、ある金額範囲のチップを支払う傾向が強いか」といった<strong>データ分析</strong>における洞察を得やすくなります。ぜひ、ご自身のデータでも試してみてください！</p>

<pre class="line-numbers"><code class="language-python"># 喫煙者と非喫煙者にデータを分割
# tips_dfはすでに読み込まれているものとします。
tips_smoker = tips_df[tips_df[&quot;smoker&quot;] == &quot;Yes&quot;][&quot;tip&quot;]
tips_non_smoker = tips_df[tips_df[&quot;smoker&quot;] == &quot;No&quot;][&quot;tip&quot;]

fig, ax = plt.subplots()
ax.hist(tips_smoker, bins=&quot;auto&quot;, density=True, alpha=0.6, label=&quot;喫煙者&quot;)
ax.hist(tips_non_smoker, bins=&quot;auto&quot;, density=True, alpha=0.6, label=&quot;非喫煙者&quot;)
ax.set_title(&quot;喫煙・非喫煙別のチップ額密度分布&quot;)
ax.set_xlabel(&quot;チップ額&quot;); ax.set_ylabel(&quot;密度&quot;)
ax.legend()
plt.show()</code></pre>

<div class="figure"><img decoding="async" alt="figure" 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
" /></div>

<p>この<strong>ヒストグラム</strong>から、喫煙者と非喫煙者の間でチップ額の<strong>分布</strong>にわずかな違いがある可能性が読み取れます。どちらのグループもチップ額が低い方にピークがありますが、喫煙者の方が非喫煙者よりもやや高いチップを支払う傾向が見られる区間があります。これは、喫煙者の方がチップ額のばらつきがやや大きいことを示唆しているとも言えます。ただし、これはあくまでグラフから見た傾向であり、この違いが単なる偶然ではないか（統計的に意味のある違いか）を判断するには、別途統計的な手法を使った確認が必要です。<strong>データ分析</strong>においては、このような視覚的な傾向を掴むことが重要です。</p>

<p>線だけで表示するにはhisttype=&#8221;step&#8221;を使います。</p>

<pre class="line-numbers"><code class="language-python">import matplotlib.pyplot as plt
import seaborn as sns
import japanize_matplotlib

# 喫煙者と非喫煙者にデータを分割 (すでに分割している場合は不要)
# tips_smoker = tips_df[tips_df[&quot;smoker&quot;] == &quot;Yes&quot;][&quot;tip&quot;]
# tips_non_smoker = tips_df[tips_df[&quot;smoker&quot;] == &quot;No&quot;][&quot;tip&quot;]

fig, ax = plt.subplots()
ax.hist(tips_smoker, bins=20, density=True, histtype=&quot;step&quot;, label=&quot;喫煙者&quot;)
ax.hist(tips_non_smoker, bins=20, density=True, histtype=&quot;step&quot;, label=&quot;非喫煙者&quot;)
ax.set_title(&quot;喫煙・非喫煙別のチップ額密度分布 (ステップ表示)&quot;)
ax.set_xlabel(&quot;チップ額&quot;); ax.set_ylabel(&quot;密度&quot;)
ax.legend()
plt.show()</code></pre>

<div class="figure"><img decoding="async" alt="figure" 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
" /></div>

<h2><span id="toc6">4. 箱ひげ図の基本：データ分布の要約と外れ値の特定方法</span></h2>
<p><strong>ヒストグラム</strong>がデータの<strong>分布</strong>全体（形状、ピーク、歪みなど）を把握するのに適しているのに対し、<strong>箱ひげ図（Box Plot）</strong>は、データの中心的な傾向、ばらつき、そして<strong>外れ値</strong>を簡潔に視覚的に捉えるのに便利なツールです。特に複数のグループ間や異なる変数間でデータの<strong>分布</strong>を比較する際にその威力を発揮します。<strong>箱ひげ図</strong>を見ることで、<strong>データの中央値</strong>、<strong>ばらつきの範囲（四分位範囲）</strong>、<strong>データの偏り（歪み）</strong>、そして<strong>「ひげ」の範囲を超える外れ値</strong>を一目で確認できます。これは<strong>データ分析</strong>における重要な<strong>可視化手法</strong>です。</p>
<p>ここでは、<strong>箱ひげ図</strong>の基本的な見方（<strong>中央値</strong>、<strong>四分位数</strong>、ひげ、<strong>外れ値</strong>が何を意味するのか）と、<strong>Matplotlib</strong> を用いて描画する方法を学びます。<strong><code>tips</code> データセット</strong>を使って、曜日ごとの合計金額の<strong>分布</strong>を<strong>箱ひげ図</strong>で確認してみましょう。<strong>ヒストグラム</strong>と合わせて使うことで、データの理解がさらに深まり、より多角的な<strong>データ分析</strong>が可能になります。<strong>データサイエンス</strong>における必須の<strong>可視化手法</strong>です。</p>

<pre class="line-numbers"><code class="language-python">import matplotlib.pyplot as plt
import seaborn as sns
import japanize_matplotlib # 日本語表示のため

fig, ax = plt.subplots()
sns.boxplot(x=&quot;day&quot;, y=&quot;total_bill&quot;, data=tips_df, ax=ax, palette=&quot;viridis&quot;)
ax.set_title(&quot;曜日ごとの合計金額の箱ひげ図&quot;)
ax.set_xlabel(&quot;曜日&quot;)
ax.set_ylabel(&quot;合計金額&quot;)
plt.show()</code></pre>

<pre>/tmp/ipython-input-191451854.py:6: FutureWarning: 

Passing `palette` without assigning `hue` is deprecated and will be removed in v0.14.0. Assign the `x` variable to `hue` and set `legend=False` for the same effect.

  sns.boxplot(x=&quot;day&quot;, y=&quot;total_bill&quot;, data=tips_df, ax=ax, palette=&quot;viridis&quot;)
</pre>

<div class="figure"><img decoding="async" alt="figure" 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
" /></div>

<p>この<strong>箱ひげ図</strong>から、曜日ごとの合計金額の<strong>分布</strong>についていくつかの点が読み取れます。</p>
<ul>
<li><strong>中央値とばらつき:</strong> 土曜日と日曜日は<strong>中央値</strong>が他の曜日よりも高く、合計金額のばらつき（箱の長さ）も大きい傾向があります。これは、週末の方が比較的利用金額が高い顧客が多いことを示唆している可能性があります。</li>
<li><strong>外れ値:</strong> 特に木曜日、土曜日、日曜日に比較的高い合計金額の<strong>外れ値</strong>が見られます。これは、その曜日に高額な飲食をしたグループが存在したことを示しています。これらの<strong>外れ値</strong>は<strong>データ分析</strong>において注意が必要です。</li>
<li><strong>分布の形状:</strong> 木曜日と金曜日に比べて、土曜日と日曜日は箱（データの中心 50%）がより高い位置にあり、合計金額の<strong>分布</strong>が全体的に高くなっていることが視覚的に確認できます。</li>
</ul>
<p>これらの情報から、このレストランでは週末（特に土・日）に客単価が高くなる傾向があり、<strong>外れ値</strong>も週末に発生しやすいことが分かります。<strong>データ分析</strong>の次のステップとして、これらの傾向をさらに深掘りすることができます。</p>

<h2><span id="toc7">5. 箱ひげ図の応用オプション：詳細表示とカスタマイズで分析を深める</span></h2>
<p>基本の<strong>箱ひげ図</strong>に加えて、<strong>Matplotlib</strong> は様々なオプションを提供しており、より詳細な情報を表示したり、見た目を調整したりすることが可能です。これらのオプションを使いこなすことで、<strong>箱ひげ図</strong>から得られる情報を増やし、より効果的な<strong>データ分析</strong>を行うことができます。例えば、ひげの定義を変えたり、平均値を強調したり、箱の色をカスタマイズしたりすることで、特定の分析目的に合わせた<strong>箱ひげ図</strong>を作成できます。<strong>データ分布</strong>の理解を深めるための重要なテクニックです。</p>
<p>本章では、ひげの長さを制御する <code>whis</code>（<strong>IQR</strong> の何倍までをひげとするか）、平均を表示する <code>showmeans</code>、箱を塗りつぶして色を変えやすくする <code>patch_artist</code> などの主なオプションの使い方を見ていきます。<strong><code>tips</code> データセット</strong>の曜日ごとの合計金額の<strong>箱ひげ図</strong>にこれらのオプションを適用してみましょう。これらのオプションを使うことで、<strong>箱ひげ図</strong>からより多くの情報を読み取り、データの特性を深く理解することができます。<strong>データ可視化スキル</strong>の向上に繋がります。</p>

<pre class="line-numbers"><code class="language-python">import matplotlib.pyplot as plt
import seaborn as sns
import japanize_matplotlib # 日本語表示のため

fig, ax = plt.subplots()
bp = sns.boxplot(x=&quot;day&quot;, y=&quot;total_bill&quot;, data=tips_df, ax=ax, palette=&quot;viridis&quot;, hue=&quot;day&quot;, legend=False,
                whis=1.5,          # ひげの長さ（IQR何倍か）
                showmeans=True,    # 平均を表示
                patch_artist=True) # 長方形を塗りつぶし可能に

# 色付け（patch_artist=Trueが必要）
colors = [&quot;#87CEEB&quot;, &quot;#FFA500&quot;, &quot;#90EE90&quot;, &quot;#FFB6C1&quot;] # 各曜日に色を割り当て
# 箱のパッチを取得して色付け
for i, patch in enumerate(ax.artists):
    # Axes.artists に箱のPatchが含まれています
    patch.set_facecolor(colors[i % len(colors)])

ax.set_title(&quot;曜日ごとの合計金額の箱ひげ図（オプション付き）&quot;)
ax.set_xlabel(&quot;曜日&quot;)
ax.set_ylabel(&quot;合計金額&quot;)
plt.show()</code></pre>

<div class="figure"><img decoding="async" alt="figure" 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
" /></div>

<p>showfliers=False で<strong>外れ値</strong>マーカーを表示しない設定も可能です。スタイルは flierprops や meanprops などで細かく変更できます。これらのオプションを使いこなすことで、<strong>箱ひげ図</strong>をより効果的に活用できます。</p>

<h2><span id="toc8">6. IQR で外れ値を検出してヒストグラムと合わせて可視化：異常値の特定と分析</span></h2>
<p><strong>箱ひげ図</strong>でも<strong>外れ値</strong>を確認できますが、<strong>IQR（四分位範囲）</strong>を用いた<strong>統計的な計算</strong>によって、プログラムで明確に<strong>外れ値</strong>を定義し、<strong>ヒストグラム</strong>と合わせて可視化することも可能です。<strong>外れ値</strong>は<strong>データ分析</strong>において、集計結果やモデル構築に大きな影響を与える可能性のある要素であり、適切に検出・処理することが重要です。<strong>IQR</strong> は、データの中心的な 50% が存在する範囲を示すため、この範囲から大きく外れたデータを<strong>外れ値</strong>として定義するのに一般的に用いられます。これは<strong>異常値検出</strong>の基本的な手法です。</p>
<p>本章では、<strong>IQR</strong> を使って<strong>外れ値</strong>を検出し、元のデータの<strong>ヒストグラム</strong>と合わせて表示する方法を解説します。ここでは、<strong><code>tips</code> データセット</strong>の <code>total_bill</code> 列を使って<strong>外れ値</strong>を検出してみましょう。これにより、データの<strong>分布</strong>の中で特に注目すべき<strong>外れ値</strong>を明確に把握し、その位置や他のデータとの関係性を視覚的に理解できるようになります。<strong>外れ値がデータのどのあたりに存在するのか</strong>を<strong>ヒストグラム</strong>上で確認することは、その後の<strong>データ分析</strong>方針を立てる上で非常に役立ちます。</p>

<pre class="line-numbers"><code class="language-python">import numpy as np
import matplotlib.pyplot as plt
import pandas as pd # pandasをインポート
import seaborn as sns # seabornをインポート
import japanize_matplotlib # 日本語表示のため

# tipsデータセットのtotal_bill列を使用し、変数名を変更
total_bill_data = tips_df[&quot;total_bill&quot;]

# 四分位とIQRを計算
q1 = total_bill_data.quantile(0.25)
q3 = total_bill_data.quantile(0.75)
iqr = q3 - q1

# 外れ値の閾値を計算 (IQRの1.5倍)
lower = q1 - 1.5 * iqr
upper = q3 + 1.5 * iqr

# IQRの閾値に基づいて外れ値を特定
outliers_tips = total_bill_data[(total_bill_data &lt; lower) | (total_bill_data &gt; upper)]

fig, ax = plt.subplots(figsize=(8,5))
# ヒストグラムを描画
counts, bins, patches = ax.hist(total_bill_data, bins=&quot;auto&quot;, color=&quot;lightcoral&quot;, edgecolor=&quot;white&quot;, alpha=0.8)

# IQRの閾値を垂直線で表示
ax.axvline(lower, color=&quot;blue&quot;, linestyle=&quot;--&quot;, label=f&quot;下限 {lower:.2f}&quot;)
ax.axvline(upper, color=&quot;blue&quot;, linestyle=&quot;--&quot;, label=f&quot;上限 {upper:.2f}&quot;)

# 外れ値に点を打つ (ヒストグラムの最大度数より少し上の位置にプロット)
# 外れ値がない場合はプロットしないように条件分岐を追加
if len(outliers_tips) &gt; 0:
    # ヒストグラムの最大度数を取得し、外れ値をその少し上の位置にプロット
    max_count = max(counts) if len(counts) &gt; 0 else 0
    ax.scatter(outliers_tips, np.full_like(outliers_tips, max_count * 1.05), color=&#x27;red&#x27;, zorder=5, label=&quot;外れ値&quot;)


ax.set_title(&quot;IQRによる合計金額の外れ値検出&quot;)
ax.set_xlabel(&quot;合計金額&quot;)
ax.set_ylabel(&quot;度数&quot;)
ax.legend()
plt.show()</code></pre>

<div class="figure"><img decoding="async" alt="figure" 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
" /></div>

<p>この図から、<strong>IQR（四分位範囲）</strong>を用いた計算によって検出された合計金額の<strong>外れ値</strong>が、<strong>上限閾値（約 40.30 ドル）を超える比較的高い金額のデータ点</strong>であることが明確に分かります。下限閾値（約-2.82 ドル）を下回るデータ点はありませんでした。赤色の点が<strong>外れ値</strong>としてプロットされており、<strong>ヒストグラム</strong>の<strong>分布</strong>の右端、つまり高額な合計金額の領域に位置していることが視覚的に確認できます。</p>
<p>これにより、<strong><code>tips</code> データセット</strong>における合計金額の<strong>外れ値</strong>は、少数の非常に高額な支払いに起因している可能性が高いことが示唆されます。これらの<strong>外れ値</strong>が<strong>データ分析</strong>（例えば平均値の計算や回帰分析など）にどのような影響を与えるかを検討し、必要に応じて<strong>外れ値の除外</strong>や<strong>変換</strong>といった対処をすることが重要です。<strong>外れ値</strong>の原因を探ることも、ビジネス上の示唆を得る上で valuable です。<strong>異常値分析</strong>は<strong>データ分析</strong>において不可欠なステップです。</p>

<ul>
<li>IQR 法の注意：<strong>分布</strong>が強く歪んでいると<strong>外れ値</strong>が多く検出されることがあります。whis 倍率の調整や、対数スケールの検討も有効です。<strong>データ分析</strong>の際には、データの特性に合わせて手法を選択することが重要です。</li>
</ul>

<h2><span id="toc9">まとめ：ヒストグラムと箱ひげ図でデータ分布を深く理解する</span></h2>
<p>本記事では、<strong>データ分析初心者</strong>の方に向けて、<strong>データ分析</strong>の基本である<strong>ヒストグラム</strong>と<strong>箱ひげ図</strong>について、その使い方とデータからより多くの情報を引き出すためのテクニックを学びました。これらのグラフを使いこなすことで、データの隠れた特徴やパターンを発見し、より深い洞察を得ることができるようになります。</p>
<ul>
<li><strong>ヒストグラム</strong>は <code>bins</code> の設定でデータの見え方が大きく変わります。まずは <code>"auto"</code> で傾向を掴み、必要に応じて <code>"fd"</code> や具体的な整数値で調整しましょう。<strong>効果的なデータ可視化</strong>の鍵となります。</li>
<li>異なるグループ間の<strong>分布</strong>を比較する際は、<code>density=True</code> による<strong>密度表示</strong>や <code>histtype="step"</code> が便利です。</li>
<li><strong>箱ひげ図</strong>は、<strong>中央値</strong>、<strong>四分位数</strong>、ひげ、そして<strong>外れ値</strong>をコンパクトに表現するのに優れています。<code>whis</code> や色の調整 (<code>patch_artist=True</code>) を使うことで、表示をカスタマイズできます。</li>
<li><strong>IQR（四分位範囲）</strong>を用いると、<strong>統計的</strong>に<strong>外れ値</strong>を定義し、<strong>ヒストグラム</strong>などに<strong>閾値</strong>や<strong>外れ値の点</strong>を示すことで、データの<strong>異常値</strong>を明確に可視化できます。<strong>外れ値検出</strong>の基本です。</li>
</ul>
<p>これらのグラフを使いこなすことで、データの基本的な性質、データの集中している範囲、ばらつきの度合い、そして注意すべき<strong>外れ値</strong>といったデータの隠れた特徴やパターンを発見し、ビジネスや研究における意思決定の質を高めることができるでしょう。<strong>データ分析</strong>の次のステップとして、これらの<strong>可視化スキル</strong>をぜひ活用してください。<strong>データサイエンス</strong>の学習を続ける上で、これらの知識は不可欠です。</p>
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PythonのMatplotlib scatter()を使った散布図の作り方を解説。色・サイズ・凡例指定によるデータ可視化のコツを初心者向けに紹介します。
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<p>PythonのMatplotlibを使った散布図の作成は、2つの変数間の関係とデータ点の分布を視覚的に捉える強力な手法です。本記事では、<code>matplotlib.pyplot.scatter()</code> 関数を用いた基本的な散布図の作成から、データの第三、第四の変数に基づいて点の<strong>色</strong>（<code>c</code>引数）や<strong>サイズ</strong>（<code>s</code>引数）を変更する方法、さらにこれらの情報を分かりやすく伝える<strong>カラーバー</strong>（<code>colorbar()</code>）や<strong>サイズ凡例</strong>の追加方法までを詳しく解説します。</p>
<p>この記事を通して、<code>matplotlib scatter</code>を使って色やサイズを活用し、複数の情報を盛り込んだ、より豊かで表現力のある散布図を作成するスキルを習得できます。初心者の方でも分かりやすいように、具体的なコード例とともにステップごとに進めます。<code>matplotlib scatter</code>をマスターして、あなたのデータ可視化を次のレベルへ引き上げましょう。</p>
<h2><span id="toc1">この記事で学べること：matplotlib scatterを使いこなす</span></h2>
<p>この記事では、<code>matplotlib scatter</code>を効果的に活用するための以下のテクニックを習得できます。</p>
<ul>
<li><code>matplotlib.pyplot.scatter()</code> 関数を使った基本的な散布図の作成方法</li>
<li><code>c</code> および <code>s</code> 引数を使ったデータに基づいた点の色分けとサイズ変更：<code>matplotlib scatter</code>での多変数可視化</li>
<li><code>colorbar()</code> を使ったカラーバーの追加とカスタマイズ：色情報を明確に</li>
<li>サイズによる情報表現のための凡例の追加方法：散布図のサイズスケールを理解する</li>
<li>複数の情報を盛り込んだ散布図を効果的に見せるための工夫（重なり対策、注釈、グリッド）：<code>matplotlib scatter</code>の見栄え向上</li>
<li>データに適したカラーマップの選び方と色覚多様性への配慮</li>
<li>Plotly を使ったインタラクティブな散布図の作成：さらに高度な<code>scatter</code>表現</li>
</ul>

<p>▶️ Matplotlib 散布図の公式ドキュメントも参考にしてください： <br /><a rel="noopener" href="https://matplotlib.org/stable/api/_as_gen/matplotlib.axes.Axes.scatter.html" target="_blank">matplotlib.axes.Axes.scatter</a></p>
<h2><span id="toc2">1. matplotlib.pyplot.scatter() で基本的な散布図を作成する</span></h2>
<p>この図は、X 軸と Y 軸の 2 つの変数間の関係とデータ点の分布を示す基本的な散布図です。</p>
<p><code>ax.scatter(x, y)</code>  が散布図の基本となります。ここから点の<strong>色</strong>、<strong>サイズ</strong>、<strong>透明度</strong>などにデータを割り当てて、より多くの情報を表現できるようになります。<code>matplotlib scatter</code>の第一歩として、まずは基本を理解しましょう。</p>
<pre><code class="language-python">import pandas as pd
import matplotlib.pyplot as plt

!pip install japanize-matplotlib &gt; /dev/null # Google Colab の機能を使って日本語フォントをインストール・インポート
import japanize_matplotlib

# データをDataFrameにする
data = {&#x27;X&#x27;: [1, 2, 3, 4, 5, 6], &#x27;Y&#x27;: [1.2, 2.4, 1.8, 3.6, 2.2, 3.9]}
df = pd.DataFrame(data)

fig, ax = plt.subplots()
ax.scatter(df[&#x27;X&#x27;], df[&#x27;Y&#x27;])
ax.set_title(&quot;基本の散布図&quot;)
ax.set_xlabel(&quot;X&quot;)
ax.set_ylabel(&quot;Y&quot;)
plt.show()</code></pre>
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
" alt="figure" /></div>
<p><strong>図から読み取れる考察:</strong> この基本的な散布図では、Xの値が増加するとYの値も概ね増加する傾向が見られます。これは、2つの変数間に正の相関がある可能性を示唆しています。しかし、データ点が少ないため、明確な結論を出すにはさらなるデータが必要です。</p>
<h2><span id="toc3">2. matplotlib scatterで連続値による色分け (c, cmap, colorbar)</span></h2>
<p>3 つ目の変数（連続値）を、点の<strong>色</strong>で表現します。<code>scatter</code>関数の <code>c</code> 引数に色の基準となる連続値の配列を渡し、<code>cmap</code> 引数で色分けに使うカラーマップを指定します。さらに <code>colorbar()</code> を追加することで、色の濃淡がどの値に対応するかを明確に示します。<code>matplotlib scatter</code>でデータに色情報を付加する強力な方法です。</p>
<pre><code class="language-python">import pandas as pd
import matplotlib.pyplot as plt

!pip install japanize-matplotlib &gt; /dev/null # Google Colab の機能を使って日本語フォントをインストール・インポート
import japanize_matplotlib

from matplotlib import cm, colors


# 7都市データ
data_cities = {
    &quot;都市名&quot;: [&quot;千葉市&quot;, &quot;福岡市&quot;, &quot;神戸市&quot;, &quot;名古屋市&quot;, &quot;さいたま市&quot;, &quot;札幌市&quot;, &quot;仙台市&quot;],
    &quot;緯度&quot;: [35.60, 33.59, 34.69, 35.18, 35.91, 43.06, 38.27],
    &quot;経度&quot;: [140.12, 130.40, 135.18, 136.90, 139.66, 141.35, 140.87],
    &quot;人口密度 (人/km²)&quot;: [3613, 4668, 2719, 7128, 6072, 1750, 1389],
    &quot;人口総数 (人)&quot;: [972861, 1579450, 1526639, 2283289, 1226656, 1955115, 1088669]
}

# DataFrameを作成
df_cities  = pd.DataFrame(data_cities )

display(df_cities)

# 散布図の描画
fig, ax = plt.subplots(figsize=(10, 8))

# 人口密度に応じて色分けするための設定
norm = colors.Normalize(vmin=df_cities[&#x27;人口密度 (人/km²)&#x27;].min(), vmax=df_cities[&#x27;人口密度 (人/km²)&#x27;].max())

# より分かりやすいカラーマップとして&#x27;viridis&#x27;に変更
cmap = plt.get_cmap(&#x27;viridis&#x27;)

sc=ax.scatter(df_cities[&#x27;経度&#x27;], df_cities[&#x27;緯度&#x27;],
                c=df_cities[&#x27;人口密度 (人/km²)&#x27;], cmap=cmap, norm=norm)

# カラーバーの追加
cbar = plt.colorbar(sc, ax=ax)
cbar.set_label(&quot;人口密度 (人/km²)&quot;) # カラーバーのラベルを明確に

# グラフの装飾
ax.set_title(&quot;日本の都市の位置と人口密度の関係&quot;)
ax.set_xlabel(&quot;経度&quot;)
ax.set_ylabel(&quot;緯度&quot;)

# 各点に都市名を表示
for i, row in df_cities.iterrows():
    ax.annotate(row[&#x27;都市名&#x27;], (row[&#x27;経度&#x27;], row[&#x27;緯度&#x27;]), textcoords=&quot;offset points&quot;, xytext=(0,10), ha=&#x27;center&#x27;)


plt.show()</code></pre>
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" alt="figure" /></div>
<p><strong>図から読み取れる考察:</strong> この散布図は、都市の位置（経度、緯度）と人口密度の関係を色の濃淡で示しています。カラーバーを見ると、黄色に近いほど人口密度が高く、紫に近いほど低いことがわかります。「名古屋市」が最も人口密度が高く黄色で表示されており、「札幌市」や「仙台市」は人口密度が低く紫で表示されています。地理的な位置と人口密度の関連性を視覚的に把握するのに役立ちます。</p>
<h2><span id="toc4">3. matplotlib scatterで連続値によるサイズ変更 (s)</span></h2>
<p>点の<strong>サイズ</strong>にも意味を持たせ、4 つ目の変数（連続値）を表現することができます。<code>scatter</code>関数の <code>s</code> 引数にサイズの基準となる連続値の配列を渡します。サイズの基準となる値の範囲に応じて適切にスケーリングすることで、点のサイズの変化を視覚的に分かりやすく表現できます。<code>matplotlib scatter</code>でデータのもう一つの側面をサイズで示しましょう。</p>
<pre><code class="language-python">import pandas as pd
import matplotlib.pyplot as plt

!pip install japanize-matplotlib &gt; /dev/null # Google Colab の機能を使って日本語フォントをインストール・インポート
import japanize_matplotlib


# 7都市データ
data_cities = {
    &quot;都市名&quot;: [&quot;千葉市&quot;, &quot;福岡市&quot;, &quot;神戸市&quot;, &quot;名古屋市&quot;, &quot;さいたま市&quot;, &quot;札幌市&quot;, &quot;仙台市&quot;],
    &quot;緯度&quot;: [35.60, 33.59, 34.69, 35.18, 35.91, 43.06, 38.27],
    &quot;経度&quot;: [140.12, 130.40, 135.18, 136.90, 139.66, 141.35, 140.87],
    &quot;人口密度 (人/km²)&quot;: [3613, 4668, 2719, 7128, 6072, 1750, 1389],
    &quot;人口総数 (人)&quot;: [972861, 1579450, 1526639, 2283289, 1226656, 1955115, 1088669]
}

# DataFrameを作成
df_cities = pd.DataFrame(data_cities)

display(df_cities)

# 散布図の描画
fig, ax = plt.subplots(figsize=(10, 8))

ax.scatter(df_cities[&#x27;経度&#x27;], df_cities[&#x27;緯度&#x27;],s=df_cities[&#x27;人口総数 (人)&#x27;]/10000)

# グラフの装飾
ax.set_title(&quot;日本の都市の位置と人口総数の関係&quot;)
ax.set_xlabel(&quot;経度&quot;)
ax.set_ylabel(&quot;緯度&quot;)

# 各点に都市名を表示
for i, row in df_cities.iterrows():ax.annotate(row[&#x27;都市名&#x27;], (row[&#x27;経度&#x27;], row[&#x27;緯度&#x27;]), textcoords=&quot;offset points&quot;, xytext=(0,10), ha=&#x27;center&#x27;)


plt.show()</code></pre>
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      <th>都市名</th>
      <th>緯度</th>
      <th>経度</th>
      <th>人口密度 (人/km²)</th>
      <th>人口総数 (人)</th>
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      <td>972861</td>
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      <td>福岡市</td>
      <td>33.59</td>
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      <td>4668</td>
      <td>1579450</td>
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      <th>2</th>
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      <td>34.69</td>
      <td>135.18</td>
      <td>2719</td>
      <td>1526639</td>
    </tr>
    <tr>
      <th>3</th>
      <td>名古屋市</td>
      <td>35.18</td>
      <td>136.90</td>
      <td>7128</td>
      <td>2283289</td>
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      <th>4</th>
      <td>さいたま市</td>
      <td>35.91</td>
      <td>139.66</td>
      <td>6072</td>
      <td>1226656</td>
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      <td>43.06</td>
      <td>141.35</td>
      <td>1750</td>
      <td>1955115</td>
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    <tr>
      <th>6</th>
      <td>仙台市</td>
      <td>38.27</td>
      <td>140.87</td>
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      padding: 0 0 0 0;
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    }

    .colab-df-convert:hover {
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    .colab-df-buttons div {
      margin-bottom: 4px;
    }

    [theme=dark] .colab-df-convert {
      background-color: #3B4455;
      fill: #D2E3FC;
    }

    [theme=dark] .colab-df-convert:hover {
      background-color: #434B5C;
      box-shadow: 0px 1px 3px 1px rgba(0, 0, 0, 0.15);
      filter: drop-shadow(0px 1px 2px rgba(0, 0, 0, 0.3));
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        const dataTable =
          await google.colab.kernel.invokeFunction('convertToInteractive',
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        if (!dataTable) return;

        const docLinkHtml = 'Like what you see? Visit the ' +
          '<a target="_blank" href=https://colab.research.google.com/notebooks/data_table.ipynb>data table notebook</a>'
          + ' to learn more about interactive tables.';
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    <div id="df-519248b4-d619-4653-bd77-55950417fdc8">
      <button class="colab-df-quickchart" onclick="quickchart('df-519248b4-d619-4653-bd77-55950417fdc8')"
                title="Suggest charts"
               >

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      --disabled-fill-color: #AAA;
      --disabled-bg-color: #DDD;
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  [theme=dark] .colab-df-quickchart {
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    border: none;
    border-radius: 50%;
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    padding: 0;
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  .colab-df-quickchart:hover {
    background-color: var(--hover-bg-color);
    box-shadow: 0 1px 2px rgba(60, 64, 67, 0.3), 0 1px 3px 1px rgba(60, 64, 67, 0.15);
    fill: var(--button-hover-fill-color);
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  .colab-df-quickchart-complete:disabled,
  .colab-df-quickchart-complete:disabled:hover {
    background-color: var(--disabled-bg-color);
    fill: var(--disabled-fill-color);
    box-shadow: none;
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  .colab-df-spinner {
    border: 2px solid var(--fill-color);
    border-color: transparent;
    border-bottom-color: var(--fill-color);
    animation:
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  @keyframes spin {
    0% {
      border-color: transparent;
      border-bottom-color: var(--fill-color);
      border-left-color: var(--fill-color);
    }
    20% {
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    90% {
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</style>

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        async function quickchart(key) {
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            const charts = await google.colab.kernel.invokeFunction(
                'suggestCharts', [key], {});
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      buttonEl.onclick = () => {
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    </div>
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</div>
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
" alt="figure" /></div>
<p><strong>図から読み取れる考察:</strong> この散布図では、都市の位置（経度、緯度）と人口総数の関係を点の大きさで示しています。「名古屋市」が最も点が大きく表示されており、人口総数が最も多いことがわかります。一方で、「仙台市」や「千葉市」は点が小さく、人口総数が比較的少ないことが視覚的に把握できます。点の大きさの相対的な違いから、各都市の人口規模の違いを直感的に比較できます。</p>
<p><strong>注意点</strong>: <code>scatter()</code> 関数の <code>s</code> 引数は、マーカーの<strong>面積</strong>に相当する値を指定します。そのため、表現したいデータの値（例えば人口総数）をそのまま <code>s</code> に渡すと、値の小さな違いが分かりにくくなることがあります。データの<strong>値そのもの</strong>ではなく、その値の<strong>平方根</strong>や対数などを <code>s</code> に渡す、あるいは適切な係数でスケーリングするなど、視覚的に意図した通りのサイズ感になるように調整することが重要です</p>
<h2><span id="toc5">4. matplotlib scatterで色とサイズを組み合わせて使う</span></h2>
<p>点の<strong>色</strong>と<strong>サイズ</strong>を同時に使うことで、X 軸・ Y 軸で表現される 2 つの変数に加え、さらに 2 つの変数（計 4 つの変数）を同時に 1 つの 2D 散布図で表現できます。これにより、より多角的な視点からデータを分析することが可能になります。<code>matplotlib scatter</code>の真骨頂とも言える多変数可視化のテクニックです。</p>
<pre><code class="language-python">import pandas as pd
import matplotlib.pyplot as plt

!pip install japanize-matplotlib &gt; /dev/null # Google Colab の機能を使って日本語フォントをインストール・インポート
import japanize_matplotlib

from matplotlib import cm, colors


# 7都市データ
data_cities = {
    &quot;都市名&quot;: [&quot;千葉市&quot;, &quot;福岡市&quot;, &quot;神戸市&quot;, &quot;名古屋市&quot;, &quot;さいたま市&quot;, &quot;札幌市&quot;, &quot;仙台市&quot;],
    &quot;緯度&quot;: [35.60, 33.59, 34.69, 35.18, 35.91, 43.06, 38.27],
    &quot;経度&quot;: [140.12, 130.40, 135.18, 136.90, 139.66, 141.35, 140.87],
    &quot;人口密度 (人/km²)&quot;: [3613, 4668, 2719, 7128, 6072, 1750, 1389],
    &quot;人口総数 (人)&quot;: [972861, 1579450, 1526639, 2283289, 1226656, 1955115, 1088669]
}

# DataFrameを作成
df_cities  = pd.DataFrame(data_cities )

display(df_cities)

# 散布図の描画
fig, ax = plt.subplots(figsize=(10, 8))

# 人口密度に応じて色分けするための設定
norm = colors.Normalize(vmin=df_cities[&#x27;人口密度 (人/km²)&#x27;].min(), vmax=df_cities[&#x27;人口密度 (人/km²)&#x27;].max())

# より分かりやすいカラーマップとして&#x27;viridis&#x27;に変更
cmap = plt.get_cmap(&#x27;viridis&#x27;)

sc=ax.scatter(df_cities[&#x27;経度&#x27;], df_cities[&#x27;緯度&#x27;],
                c=df_cities[&#x27;人口密度 (人/km²)&#x27;], cmap=cmap, norm=norm,s=df_cities[&#x27;人口総数 (人)&#x27;]/10000)

# カラーバーの追加
cbar = plt.colorbar(sc, ax=ax)
cbar.set_label(&quot;人口密度 (人/km²)&quot;) # カラーバーのラベルを明確に

# グラフの装飾
ax.set_title(&quot;日本の都市の位置と人口密度と人口総数の関係&quot;)
ax.set_xlabel(&quot;経度&quot;)
ax.set_ylabel(&quot;緯度&quot;)

# 各点に都市名を表示
for i, row in df_cities.iterrows():
    ax.annotate(row[&#x27;都市名&#x27;], (row[&#x27;経度&#x27;], row[&#x27;緯度&#x27;]), textcoords=&quot;offset points&quot;, xytext=(0,10), ha=&#x27;center&#x27;)


plt.show()</code></pre>
<div class="nb-output table-wrap">
  <div id="df-0a1f2255-789b-40ec-9e59-ae484e134e3b" class="colab-df-container">
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<style scoped>
    .dataframe tbody tr th:only-of-type {
        vertical-align: middle;
    }

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<table class="wp-block-table">
  <thead>
    <tr>
      <th></th>
      <th>都市名</th>
      <th>緯度</th>
      <th>経度</th>
      <th>人口密度 (人/km²)</th>
      <th>人口総数 (人)</th>
    </tr>
  </thead>
  <tbody>
    <tr>
      <th>0</th>
      <td>千葉市</td>
      <td>35.60</td>
      <td>140.12</td>
      <td>3613</td>
      <td>972861</td>
    </tr>
    <tr>
      <th>1</th>
      <td>福岡市</td>
      <td>33.59</td>
      <td>130.40</td>
      <td>4668</td>
      <td>1579450</td>
    </tr>
    <tr>
      <th>2</th>
      <td>神戸市</td>
      <td>34.69</td>
      <td>135.18</td>
      <td>2719</td>
      <td>1526639</td>
    </tr>
    <tr>
      <th>3</th>
      <td>名古屋市</td>
      <td>35.18</td>
      <td>136.90</td>
      <td>7128</td>
      <td>2283289</td>
    </tr>
    <tr>
      <th>4</th>
      <td>さいたま市</td>
      <td>35.91</td>
      <td>139.66</td>
      <td>6072</td>
      <td>1226656</td>
    </tr>
    <tr>
      <th>5</th>
      <td>札幌市</td>
      <td>43.06</td>
      <td>141.35</td>
      <td>1750</td>
      <td>1955115</td>
    </tr>
    <tr>
      <th>6</th>
      <td>仙台市</td>
      <td>38.27</td>
      <td>140.87</td>
      <td>1389</td>
      <td>1088669</td>
    </tr>
  </tbody>
</table>
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    .colab-df-buttons div {
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    [theme=dark] .colab-df-convert {
      background-color: #3B4455;
      fill: #D2E3FC;
    }

    [theme=dark] .colab-df-convert:hover {
      background-color: #434B5C;
      box-shadow: 0px 1px 3px 1px rgba(0, 0, 0, 0.15);
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      async function convertToInteractive(key) {
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        const dataTable =
          await google.colab.kernel.invokeFunction('convertToInteractive',
                                                    [key], {});
        if (!dataTable) return;

        const docLinkHtml = 'Like what you see? Visit the ' +
          '<a target="_blank" href=https://colab.research.google.com/notebooks/data_table.ipynb>data table notebook</a>'
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        element.innerHTML = '';
        dataTable['output_type'] = 'display_data';
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    <div id="df-8e5a0b05-3df3-4bd5-959f-ab94b1d12163">
      <button class="colab-df-quickchart" onclick="quickchart('df-8e5a0b05-3df3-4bd5-959f-ab94b1d12163')"
                title="Suggest charts"
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  .colab-df-quickchart-complete:disabled,
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    fill: var(--disabled-fill-color);
    box-shadow: none;
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  .colab-df-spinner {
    border: 2px solid var(--fill-color);
    border-color: transparent;
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    animation:
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  @keyframes spin {
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      border-bottom-color: var(--fill-color);
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</div>
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
" alt="figure" /></div>
<p>この図は、点の<strong>色</strong>と<strong>サイズ</strong>を同時に使って複数の情報を表現した散布図の例です。点の<strong>色</strong>は人口密度を、点の<strong>サイズ</strong>は人口総数をそれぞれ表しています。これにより、都市の<strong>位置</strong>（経度、緯度）に加え、<strong>人口密度</strong>と<strong>人口総数</strong>という二つの異なる追加情報を一つの散布図で同時に視覚化しています。図の右側にあるカラーバーは、色の変化が示す人口密度の値のスケールを表しています。</p>
<p><strong>図から読み取れる考察:</strong> この多変量散布図から、以下の点が読み取れます。</p>
<ul>
<li>「名古屋市」は人口密度（色）も人口総数（サイズ）も最も大きいことが一目でわかります。</li>
<li>「福岡市」は人口密度は比較的高いですが、人口総数は名古屋市ほど大きくありません。</li>
<li>「札幌市」や「仙台市」は、人口密度も人口総数も比較的小さい傾向があります。</li>
</ul>
<p>このように、色とサイズを組み合わせることで、複数の変数間の複雑な関係性を一つの図で効率的に理解することができます。</p>
<h2><span id="toc6">5. matplotlib scatterをより見やすくするための工夫</span></h2>
<p>作成した散布図をより効果的に、そして誤解なく情報を伝えるためには、いくつかの「見やすくするための工夫」を取り入れることが重要です。ここでは、データ点が多い場合の<strong>重なり対策</strong>、図の重要なポイントを示す<strong>注釈</strong>、データ点の位置を正確に読み取るための<strong>グリッド</strong>について解説します。これらの工夫で、あなたの<code>matplotlib scatter</code>をさらに分かりやすくしましょう。</p>
<ul>
<li><strong>重なり対策:</strong>データ点が多いと点が重なってしまい、全体の傾向が分かりにくくなることがあります。これを改善するには、いくつか方法があります。</li>
<li>点の透明度を調整する (alpha): 点を半透明にすることで、重なっている部分の密度が分かりやすくなります。</li>
<li>点のサイズを小さくする: 点の大きさを調整して、重なりを減らします。</li>
<li>点の枠線を消す (edgecolor=&#8221;none&#8221;): 点の輪郭線をなくすことで、見た目をすっきりさせます。</li>
</ul>
<p>    データが非常に密集している場合は、散布図の代わりに以下のプロットも検討できます。</p>
<ul>
<li>等高線プロット (matplotlib.pyplot.contour または contourf): データの密度の高い領域を等高線で表示します。</li>
<li>Hexbin プロット (matplotlib.pyplot.hexbin): 領域内のデータ点の数を集計して表示します。</li>
</ul>
<p>    これらの方法で、データセット全体の密度分布やパターンを把握しやすくなります。</p>
<ul>
<li><strong>注釈:</strong> グラフ中の特定のデータ点や重要な情報に<strong>注釈</strong>（テキストラベルや矢印）を追加することで、図のどの部分に注目すべきかを明確に示すことができます。Matplotlib の <code>ax.annotate()</code> 関数を使用すると、テキストの配置や矢印のスタイル（色、太さ、形状など）を細かくカスタマイズして、強調したいポイントへの誘導をより分かりやすくデザインすることが可能です。</li>
<li><strong>グリッド:</strong> グラフに<strong>グリッド線</strong> (<code>ax.grid(True, linestyle=":", alpha=0.6)</code>) を追加することで、各データ点の X 軸・ Y 軸上の位置を正確に読み取りやすくなり、異なるデータ点間の比較が容易になります。特定の値を読み取ったり、複数のデータ点を比較したりする場合に特に役立ちます。</li>
</ul>
<p>これらの工夫を適切に施すことで、散布図が持つ情報をより正確に、かつ効率的に伝えることができます。</p>
<pre><code class="language-python">import pandas as pd
import matplotlib.pyplot as plt

!pip install japanize-matplotlib &gt; /dev/null # Google Colab の機能を使って日本語フォントをインストール・インポート
import japanize_matplotlib

from matplotlib import cm, colors


# 7都市データ
data_cities = {
    &quot;都市名&quot;: [&quot;千葉市&quot;, &quot;福岡市&quot;, &quot;神戸市&quot;, &quot;名古屋市&quot;, &quot;さいたま市&quot;, &quot;札幌市&quot;, &quot;仙台市&quot;],
    &quot;緯度&quot;: [35.60, 33.59, 34.69, 35.18, 35.91, 43.06, 38.27],
    &quot;経度&quot;: [140.12, 130.40, 135.18, 136.90, 139.66, 141.35, 140.87],
    &quot;人口密度 (人/km²)&quot;: [3613, 4668, 2719, 7128, 6072, 1750, 1389],
    &quot;人口総数 (人)&quot;: [972861, 1579450, 1526639, 2283289, 1226656, 1955115, 1088669]
}

# DataFrameを作成
df_cities  = pd.DataFrame(data_cities )

display(df_cities)

# 散布図の描画
fig, ax = plt.subplots(figsize=(10, 8))

# 人口密度に応じて色分けするための設定
norm = colors.Normalize(vmin=df_cities[&#x27;人口密度 (人/km²)&#x27;].min(), vmax=df_cities[&#x27;人口密度 (人/km²)&#x27;].max())

# より分かりやすいカラーマップとして&#x27;viridis&#x27;に変更
cmap = plt.get_cmap(&#x27;viridis&#x27;)

sc=ax.scatter(df_cities[&#x27;経度&#x27;], df_cities[&#x27;緯度&#x27;],
                c=df_cities[&#x27;人口密度 (人/km²)&#x27;], cmap=cmap, norm=norm,s=df_cities[&#x27;人口総数 (人)&#x27;]/10000,edgecolor=&quot;black&quot;, linewidth=1.0)

# カラーバーの追加
cbar = plt.colorbar(sc, ax=ax)
cbar.set_label(&quot;人口密度 (人/km²)&quot;) # カラーバーのラベルを明確に

# グラフの装飾
ax.set_title(&quot;日本の都市の位置と人口密度と人口総数の関係&quot;)
ax.set_xlabel(&quot;経度&quot;)
ax.set_ylabel(&quot;緯度&quot;)

# 各点に都市名を表示
for i, row in df_cities.iterrows():
    ax.annotate(row[&#x27;都市名&#x27;], (row[&#x27;経度&#x27;], row[&#x27;緯度&#x27;]), textcoords=&quot;offset points&quot;, xytext=(0,10), ha=&#x27;center&#x27;)

# グリッド線の追加
ax.grid(True, linestyle=&quot;:&quot;, alpha=0.6)

# 注釈の追加
ax.annotate(&quot;人口密度が最も高く、人口総数も最も多い&quot;, xy=(136.50,35.18), xytext=(132,36),
            arrowprops=dict(facecolor=&quot;black&quot;, arrowstyle=&quot;-&gt;&quot;))
ax.annotate(&quot;緯度が最も高い&quot;, xy=(141.00,43.06), xytext=(138,42),
            arrowprops=dict(facecolor=&quot;black&quot;, arrowstyle=&quot;-&gt;&quot;))

plt.show()</code></pre>
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
" alt="figure" /></div>

<h2><span id="toc7">6. カラーマップの選び方と注意点</span></h2>
<p>散布図の色分けには、適切なカラーマップを選ぶことが大切です。データの種類（連続値かカテゴリ値か）や、データの特性に合わせて選びましょう。</p>
<p>連続値を表現する場合:</p>
<ul>
<li>順序のある連続値: 値の大小を分かりやすく示すには、色の濃淡や色相が滑らかに変わるカラーマップが適しています。</li>
<li>おすすめ: viridis, plasma, inferno, magma, cividis (色覚多様性にも配慮されています)</li>
<li>中心からの差分を表現したい場合: 中央を基準に色が対称的に変わるカラーマップが有効です。</li>
<li>おすすめ: coolwarm, bwr, seismic</li>
</ul>
<p>カテゴリ値を表現する場合:</p>
<ul>
<li>カテゴリごとに明確に区別できる離散的な色を持つカラーマップを選びます。</li>
<li>おすすめ: tab10, tab20 (カテゴリ数が多い場合は色の識別が難しくなるため、マーカーの形状なども組み合わせましょう)</li>
</ul>

<p>▶️ Matplotlib のカラーマップ一覧も参考にしてください： <br /><a href="matplotlib.org/stable/users/explain/colors/colormaps.html" target="_blank">Choosing Colormaps in Matplotlib</a></p><p>カラーマップ選びの重要な注意点:</p>
<p>表現したいデータの種類と、使うカラーマップの種類を必ず一致させましょう。間違った組み合わせは、図を見た人に誤解を与える可能性があります。データの性質を正しく理解し、それに合ったカラーマップを選ぶことが、正確な情報伝達のために重要です。</p>
<pre><code class="language-python">import matplotlib.pyplot as plt
import numpy as np

# データ（カラーバー用）
gradient = np.linspace(0, 1, 256)
gradient = np.vstack((gradient, gradient))

# 利用可能なカラーマップをカテゴリごとにまとめる
cmaps = {
    &#x27;Perceptually Uniform Sequential&#x27;: [&#x27;viridis&#x27;, &#x27;plasma&#x27;, &#x27;inferno&#x27;, &#x27;magma&#x27;, &#x27;cividis&#x27;],
    &#x27;Sequential&#x27;: [&#x27;Greys&#x27;, &#x27;Purples&#x27;, &#x27;Blues&#x27;, &#x27;Greens&#x27;, &#x27;Oranges&#x27;, &#x27;Reds&#x27;],
    &#x27;Sequential (2)&#x27;: [&#x27;YlOrBr&#x27;, &#x27;YlOrRd&#x27;, &#x27;OrRd&#x27;, &#x27;PuRd&#x27;, &#x27;RdPu&#x27;, &#x27;BuPu&#x27;,
                       &#x27;GnBu&#x27;, &#x27;PuBu&#x27;, &#x27;YlGnBu&#x27;, &#x27;PuBuGn&#x27;, &#x27;BuGn&#x27;, &#x27;YlGn&#x27;],
    &#x27;Diverging&#x27;: [&#x27;PiYG&#x27;, &#x27;PRGn&#x27;, &#x27;BrBG&#x27;, &#x27;PuOr&#x27;, &#x27;RdGy&#x27;, &#x27;RdBu&#x27;,
                  &#x27;RdYlBu&#x27;, &#x27;RdYlGn&#x27;, &#x27;Spectral&#x27;, &#x27;coolwarm&#x27;, &#x27;bwr&#x27;, &#x27;seismic&#x27;],
    &#x27;Qualitative&#x27;: [&#x27;Pastel1&#x27;, &#x27;Pastel2&#x27;, &#x27;Paired&#x27;, &#x27;Accent&#x27;,
                    &#x27;Dark2&#x27;, &#x27;Set1&#x27;, &#x27;Set2&#x27;, &#x27;Set3&#x27;,
                    &#x27;tab10&#x27;, &#x27;tab20&#x27;, &#x27;tab20b&#x27;, &#x27;tab20c&#x27;],
    &#x27;Miscellaneous&#x27;: [&#x27;flag&#x27;, &#x27;prism&#x27;, &#x27;ocean&#x27;, &#x27;gist_earth&#x27;, &#x27;terrain&#x27;, &#x27;gist_stern&#x27;,
                      &#x27;gnuplot&#x27;, &#x27;gnuplot2&#x27;, &#x27;CMRmap&#x27;, &#x27;cubehelix&#x27;,
                      &#x27;brg&#x27;, &#x27;hsv&#x27;, &#x27;gist_rainbow&#x27;, &#x27;rainbow&#x27;, &#x27;jet&#x27;,
                      &#x27;nipy_spectral&#x27;, &#x27;gist_ncar&#x27;]
}

# 表示する関数
def plot_color_gradients(category, cmap_list):
    nrows = len(cmap_list)
    fig, axes = plt.subplots(nrows=nrows, figsize=(8, nrows * 0.4))
    fig.subplots_adjust(top=1, bottom=0, left=0, right=1,hspace=1)
    for ax, name in zip(axes, cmap_list):
        ax.imshow(gradient, aspect=&#x27;auto&#x27;, cmap=plt.get_cmap(name))
        ax.set_axis_off()
        ax.set_title(name, fontsize=12, loc=&#x27;left&#x27;)
    plt.show()

# 例：Sequential系カラーマップを表示
plot_color_gradients(&#x27;Sequential&#x27;, cmaps[&#x27;Sequential&#x27;])</code></pre>
<div class="nb-output"><img decoding="async" 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
" alt="figure" /></div>
<p>上の図は、Matplotlib で利用可能な様々な<strong>カラーマップ</strong>の例を、カテゴリ別に示しています。データの特性に合わせて適切なカラーマップを選択する際の参考にしてください。</p>
<p><strong>図から読み取れる考察:</strong> この図は、各カラーマップがどのように色のグラデーションを表現しているかを示しています。「Sequential」カテゴリのカラーマップは、単一の色相または明度の連続的な変化でデータの大小を表現するのに適しています。「Diverging」カテゴリのカラーマップは、中央値を基準としたデータの正負の偏りを示すのに有効です。「Qualitative」カテゴリのカラーマップは、カテゴリデータの識別に使われます。データの性質に合ったカラーマップを選ぶことで、より正確で分かりやすい可視化が可能になります。</p>
<h2><span id="toc8">7. matplotlib scatterでサイズの凡例を追加する方法</span></h2>
<p>散布図で点のサイズに意味を持たせた場合、そのサイズがどのような値を表しているのかを示す凡例があると、図の解釈が容易になります。Matplotlib の<code>scatter</code>関数は、色を示すカラーバーのようにサイズを示す凡例を自動で生成する直接的な機能はありませんが、いくつかの手法でサイズ凡例を表現することができます。これにより、<code>matplotlib scatter</code>でサイズの情報をより明確に伝えることができます。</p>
<p>一般的なアプローチの一つは、凡例として表示したい代表的なサイズを持つ「ダミー」の散布図要素を作成し、それらを<code>ax.legend()</code>で表示する方法です。この際、実際のデータには含まれないが、凡例として表示したいサイズに対応する点を作成します。</p>
<p>具体的には、以下のような手順で実装します。</p>
<p>1.  凡例に表示したいサイズの値（例: 最小サイズ、中央サイズ、最大サイズなど）を決定します。</p>
<p>2.  それぞれのサイズに対応するダミーの散布図要素を作成します。これらの要素は、表示領域の外など、実際のデータと重ならない場所に配置します。</p>
<p>3.  <code>ax.legend()</code>を呼び出し、作成したダミーの散布図要素とそれに対応するラベル（例: &#8220;Small Value&#8221;, &#8220;Medium Value&#8221;, &#8220;Large Value&#8221;など）を渡します。</p>
<p>4.  必要に応じて、<code>handler_map</code>を使用して凡例マーカーの表示をカスタマイズし、散布図の点と同じように表示されるように調整します（詳細は省略）。</p>
<p>次のセクションで、この手法を用いた具体的なコード例を示します。</p>
<pre><code class="language-python"># サイズの凡例を追加するコード例

import pandas as pd
import matplotlib.pyplot as plt

!pip install japanize-matplotlib &gt; /dev/null # Google Colab の機能を使って日本語フォントをインストール・インポート
import japanize_matplotlib

from matplotlib import cm, colors


import numpy as np

# 7都市データ
data_cities = {
    &quot;都市名&quot;: [&quot;千葉市&quot;, &quot;福岡市&quot;, &quot;神戸市&quot;, &quot;名古屋市&quot;, &quot;さいたま市&quot;, &quot;札幌市&quot;, &quot;仙台市&quot;],
    &quot;緯度&quot;: [35.60, 33.59, 34.69, 35.18, 35.91, 43.06, 38.27],
    &quot;経度&quot;: [140.12, 130.40, 135.18, 136.90, 139.66, 141.35, 140.87],
    &quot;人口密度 (人/km²)&quot;: [3613, 4668, 2719, 7128, 6072, 1750, 1389],
    &quot;人口総数 (人)&quot;: [972861, 1579450, 1526639, 2283289, 1226656, 1955115, 1088669]
}

# DataFrameを作成
df_cities  = pd.DataFrame(data_cities )

display(df_cities)

# 散布図の描画
fig, ax = plt.subplots(figsize=(10, 8))

# 人口密度に応じて色分けするための設定
norm = colors.Normalize(vmin=df_cities[&#x27;人口密度 (人/km²)&#x27;].min(), vmax=df_cities[&#x27;人口密度 (人/km²)&#x27;].max())

# より分かりやすいカラーマップとして&#x27;viridis&#x27;に変更
cmap = plt.get_cmap(&#x27;viridis&#x27;)


sc = ax.scatter(df_cities[&#x27;経度&#x27;], df_cities[&#x27;緯度&#x27;],
                c=df_cities[&#x27;人口密度 (人/km²)&#x27;], cmap=cmap, norm=norm, s=df_cities[&#x27;人口総数 (人)&#x27;]/10000, alpha=0.7, edgecolors=&quot;black&quot;, linewidth=1.0)

# カラーバーの追加
cbar = plt.colorbar(sc, ax=ax)
cbar.set_label(&quot;人口密度 (人/km²)&quot;) # カラーバーのラベルを明確に


# グラフの装飾
ax.set_title(&quot;日本の都市の位置と人口密度と人口総数の関係&quot;)
ax.set_xlabel(&quot;経度&quot;)
ax.set_ylabel(&quot;緯度&quot;)

# 各点に都市名を表示
for i, row in df_cities.iterrows():
    ax.annotate(row[&#x27;都市名&#x27;], (row[&#x27;経度&#x27;], row[&#x27;緯度&#x27;]), textcoords=&quot;offset points&quot;, xytext=(0,10), ha=&#x27;center&#x27;)

# グリッド線の追加
ax.grid(True, linestyle=&quot;:&quot;, alpha=0.6)

# 注釈の追加
ax.annotate(&quot;人口密度が最も高く、人口総数も最も多い&quot;, xy=(136.50,35.18), xytext=(132,36),
            arrowprops=dict(facecolor=&quot;black&quot;, arrowstyle=&quot;-&gt;&quot;))
ax.annotate(&quot;緯度が最も高い&quot;, xy=(141.00,43.06), xytext=(138,42),
            arrowprops=dict(facecolor=&quot;black&quot;, arrowstyle=&quot;-&gt;&quot;))




# サイズの凡例のためのダミーデータとラベルを作成

# 例: 最小値、中央値、最大値
legend_population = np.array([df_cities[&#x27;人口総数 (人)&#x27;].min(), df_cities[&#x27;人口総数 (人)&#x27;].median(), df_cities[&#x27;人口総数 (人)&#x27;].max()])
# これらの人口総数値に対応するサイズを計算
legend_sizes = legend_population/ 10000
# 凡例のラベル
legend_labels = [f&#x27;人口総数: {int(p):,d}人&#x27; for p in legend_population]

# ダミーの散布図要素を生成
# 表示領域の外に配置するため、x, y座標は適当な値（例: 軸の範囲外）を設定
legend_elements = [
    ax.scatter([], [], s=s, label=label, color=&#x27;gray&#x27;, alpha=0.7, edgecolors=&#x27;black&#x27;, linewidth=1.0)
    for s, label in zip(legend_sizes, legend_labels)
]

# 凡例を追加
# scatterpointsを増やすことで凡例の点が複数表示されるようにする
ax.legend(handles=legend_elements, title=&quot;人口総数によるサイズ(最大値、中央値、最小値)&quot;, scatterpoints=1)



plt.show()</code></pre>
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0hI4OzZs1qmYV5eXjRv3lwrvpWVFZCy1gTA0NBQ9lz29u1bhg4dyrx58+jcubPsKCCtSc7IkSNJSkpK1/TKw8OD6OhoOVStWpVff/1V49isWbO00vn5+eHv76+zHS1atPhgO+7du8fixYu13LwWK1aMnTt3ahy7ceMGZcqU0WmKFRAQwLFjxwCYNm0aZmZmtGrVCltbW6pVqyavrbGxsZHXEGXEli1b6NevH5UqVeL3338nKCgId3d3qlWr9sG0aTlx4gRNmzalY8eObNiw4aPSfioLFy6kT58+8u/jx4/ToEEDRowYgZubGxcvXqRWrVosX76cFy9eaK1ret+cS6lUsmvXLg1PWCEhIZle9H3kyBEcHBwoWbIkc+bM4cWLF/zvf/+jQYMGH9WuEydOUL16dfr27cumTZv+Uy9ar169IleuXIwZM4YbN25QvXp1Hj16xLFjxzh69Cjz5s2jefPm3L17l3v37qFUKlm5ciV///03T58+BVIW8JuZmXH27Fn8/PwwNzencOHCbNu2DUdHR65fv06nTp3w9vYG4ObNm9SsWVOjHp/7nnifQoUK8d133xEVFYWlpSUmJiacPXsWFxcXTExMdK5zWrlyJREREQwYMEDr3JgxY1AoFHTt2pXFixdjYGDAsmXLGD9+PH5+fh++0AKBQPAZCIVGIPg/jh8/rrHY+f2QameeEZs3b8bLyws3Nzf52MqVK7lz5w5jx47V2fEKDQ1FpVJha2srH4uLi+Po0aM696VIXQSf6qEslQsXLtC8eXPevHnDL7/8gqGhIQYGBlrrEszNzVmxYgW//vorgYGBWvkbGxuTN29eOSiVSq1jRkZGWulCQkIANNoRHBzM5cuXM9WOmJgYJk6cqLUmpUOHDpw/f15j/5KbN2/SsGFDrTx1UadOHdzc3LRCqnep9FCr1QwZMoTRo0fj5ubG7du36devn841Fh8iOTmZrVu30qNHD4YMGcLx48e5cuXKR+fzMbx69YoXL14wbtw4wsPDAZg0aRIrV65k5MiRBAUFcezYMVmmCxYskDvUqSQlJWm0d8aMGfJi/NSQmJhIo0aNPlgfNzc3vv/+ewYNGsTDhw8ZM2YMefLk+aS2bdq0iR49etCrVy+CgoLYvXv3J+WTGYoUKUJAQACRkZEsWrSIDh06sG/fPmbPnk3//v35999/OXz4MMWLF+fVq1f89NNP9O/fH19fX0qUKAFA79692bJlC3ny5MHV1RU3NzcsLCwAaNq0KevXr+eXX35h8+bNREdHc+XKFVq1aqVRj6x6T6QSHh4ue1GbPn06vXv3RpIk2btarVq1dF6LdevWkTt3biBl8KNMmTKULFmSsmXLEh4eLrezYMGCTJgwgcKFCzN27NhPuPICgUCQeYRCIxBkEd7e3owePZrNmzfLnRVIUSD279/P9u3b6devn9Y+Hane09J6C9uxYwfJyck69+xI7XSmdjik//NW1bJlSxQKhca+IultiNmuXTusra3Zu3fv5zX6A+34448/KFGihM4RZG9vb0xNTSlfvjwA9evX1znz06JFC1QqlcZC5mvXrmWqEw1gYGCAiYmJVjA2Ns4w3fLly9mzZw/nz59n+PDhmV54rovVq1ejUqno0aMHpUqVYvjw4Tg6Ov6nO62bmpqyYMECxo4dS/ny5alRowYqlYpevXphZmZGuXLl2L17Nz///DMAAwYM4Pjx4xp5xMTEYGpqyq+//vpBV8cZbbS5d+9e5s2bx8GDB3F1df3gtc+IAwcOcOvWLXkh+tSpUxk7dqystP0X+Pr6smLFCvl3o0aNaNKkCYULFwbg8ePHNG/enIsXL+Lm5oYkSXKnH1I2M00dYDhy5AguLi4YGhqiUCgwMjLCwMCAhg0bYmBgwMCBAylbtixlypTRqMPnvieygh9//JHWrVvLvzt16sTvv//Oli1bOH78OP/88w+vX7/m5cuXvH37lvv373P+/HkaNWok9qIRCAT/KUKhEQiyAE9PT7p06cLs2bOpUKECQUFBJCQkEBUVRVBQEObm5hw9epRjx47RuHFj7t69K6ctUKAAlSpVkjuTCQkJzJ8/n6FDh2qNrr5+/ZrZs2fTtm1b2UPS3r17mT17Nr/++utH1blu3bo6vYF9KlWqVMHMzExuR3h4OCtXrmTcuHFaJkl+fn6sWLEiUzMeqZ3v1L1ggoODuXfvXqY9Yl27dk3nDM3atWszTLdx40Z++uknqlevnqly0uPx48fMnDmT2bNnyx35hQsXEh0dTZ8+fTK92ejHIEkSEyZM4MKFCzx8+JC7d+9y8+ZNYmNj2bRpE7Vr1+bdu3f4+fnRvXt3PDw8mDNnjpYsgoKCsLCwYPz48UiSxNChQ+ncuTNJSUnyzOWyZcsoUqRIhnv6bNy4kV69emFvb/9Z7QoNDWXs2LG4uLjI7radnZ2xtramc+fOxMbGflb+6XH9+nUNV+vVqlVj//79XLt2jYYNG+Lp6cmePXvYuXMnhQsXZvXq1Rozur/88gvJycn06tWLKVOmkJyczNGjRylfvjzJyckMGDAApVLJ7Nmz+fvvvxk2bJhWHT73PZGWLVu2yOaohoaGzJgxQ+vY+6afurCwsKBt27Zs376dkJAQSpUqBaS4Th8/fjy9evXCysoKV1dXsReNQCD4TxEKjUDwGSQkJODs7Ey3bt1YtGgRSqUSGxsbbGxsOH36NIsXL5Z/Jycnc/HiReLj46lbty7Pnj2T83FxcWHp0qUcOXKEoUOHEhUVxbRp0zTKunr1Kk2bNiU6Oprff/9dPt69e3d8fHxo0aIFr1+/1piFcHR0zLD+H9qD5X1u375NSEgIz54903A5DSnubseOHcu0adM4deoUffr0oWjRoowcOVIjnre3N82aNcPCwoL58+dnqty6dety//59IGXTzapVq8rmPB/ihx9+4O7du1rh/XU57xMZGalz76GPISgoiHbt2tGwYUONDmL+/PnZv38/x44do3v37sTExKSbh6+vb7p7GaW3p5FCoWDNmjW4u7tz69atD84E+fr6ypuOpuXy5ctyJxXg999/R6lU4uDgQFBQEMuWLWPhwoUcPHgQa2vrdPPPimsZERFBp06dsLCw0Hg2DA0N2bdvH/7+/tjb22e4X9DTp08/eC2TkpK00vn5+Wm0r169epw+fZrHjx9rmM3Vq1ePYcOG0bt3b86dO6exgezFixfZsWMHNjY2JCYmsn79en744Qet+gEcOnRIp8w+5z2RlgEDBmjM5NavX5/69evzzz//yMcyu87r5s2bbNiwgbJly2ocnzZtGlevXsXFxSVT+QgEAsHnIPahEQj+j5CQkAxnLGJiYrT2hHjz5g3nzp3jwIEDdOjQAUAeqW7evDmNGzfW2m378uXLnD59WsMW3tHRkWvXrtGhQwcKFSrE/v37sbCw4O7duxw6dIjDhw9z/vx5atWqxcWLFyldurScVqFQUKRIEd6+fYuFhYWG6c22bdvYtm2bRvlubm48evSIPHnyMGbMmI+6Ru3atePFixcoFAqdGyhOmzaN27dv07JlS0qVKsWRI0cwMjLi0qVLeHl5yeZCrVq1YuvWrRQsWDBT5S5btkw240tvzYAuLCws2LlzJ3Z2djrPp+2sv8+PP/7InDlzUKvVdOjQgZIlS5I7d27i4+OJiYkhJCSEwMBAqlatKpvNpeXMmTP06tULa2tr/vzzT60R6po1a3LgwAG6du1K3bp1Wbt2LU2aNNHK52MXzGcVkZGR3LhxQ2PH+1y5crFv3z7Gjh1LmTJlUKlUHDx4kLp162aY148//si4cePInz8/PXv2xM7ODlNTUxISEoiJieHVq1cEBgZiY2Mj792SFh8fH7p3705ycjKnT5/GxMRE47ytrS3e3t7Y29tTq1Ytfv/9d7p06aKVjy7TrMxw7tw5XF1d5XVi9evXJzAwkHPnzmk5h/j3339xdXWlb9++rFmzRl7rVadOHf78809Wr17NjBkzePv2rcb+P15eXkyfPp3du3czZcoUevXqxZ9//qmhMH3Oe0IXSUlJTJs2jdevX7N48WJ5Yf+MGTPo1q3bB69LfHw8gwcPpk+fPlSoUEFjTV6RIkXw8PCgbdu2dOjQgTZt2nwwP4FAIPhkvrRbNYFAHyGTroozuw+NJElSs2bNNFykZobg4GDp3bt38u/79+9Ltra20g8//CAdOHBA3qdCFw8ePJD3OUkNSqVSatu2rSRJkuy2OSNWrlyptXdE9erVpf/973+SJKW4bY2MjNSooy6ePn0qJSYmyr9PnjwplShRQho0aNAH9+VJdRU8c+bMTMtlx44dWuk/F7VaLa1Zs0aqV6+eZGxsrFWmQqGQChUqJP3xxx8a6eLj46W+fftKCoVCateunfT27dsMy7l69apUqlQpKW/evNLLly/l41nhtjkuLi7T17B79+4aaefMmSMVKlRIlmNUVJR08OBBqV+/fpKZmZnk4uIiDR48WMqdO7dUu3ZtadKkSdL27dvT3Rfmr7/+kpo1ayblyZNHZ/kFChSQpk+frpXu559/lgwNDaW6detKz58/z/A6+Pr6StWrV5cMDAw03Gp/jttmlUoltWzZUnr69Km0ePFijXdApUqVpAMHDkhLliyRWrduLfn7+0tTp06VmjZtKl29elXr+X/58qXk5OQkFSlSRGratKmUP39+af/+/dLSpUslIyMj+V7y9fWVihUrJlWqVEnnXi6f+p5I67Z5zpw5UunSpaU2bdpIISEhclvXr18v9e/fXzp//ry0fv16SaFQaOXj4uIiDRw4UNq0aZNkbW0t77mTep3T7n3j6Ogo7dq1K8NrLhAIBJ+LmKERCICpU6cyePBgrYW4admzZ89nLQzPDO/bu1esWFE2Q8kMmZmhyYgPzdgYGBiQP3/+D+aTdvYJoGXLljo9qmXEhAkTNHYtz4j3Z85u3rz50SZOd+7c0Zr5cnJywsnJCbVaTXh4OLGxsSiVSvLkyYO5ubnO9T/GxsaUL1+eFStWMGrUqA/eM3Xq1OHWrVvcuXOHIkWKyMfr1avHgwcPKFCgwAfr/vbtW0xNTdM9/++//2ZoErZ48WKCg4M1jr179w5XV1dCQ0Np06YNT548oWbNmvzwww8sX75cdpm9ZMkSdu3axYkTJ1i3bh3jxo1jxowZWmX07NmTnj17IkkSr1+/Jjo6GqVSSe7cuTEzM0vXUUClSpWYOnUqrq6uOr3rpaVMmTJcuXJFa+bEysqKBw8eULJkyQzTQ8p9kLYuSqWSkydP6ox7/PhxLCwssLS0ZPHixZQtW5YCBQqwcOFC6tSpQ506dYCUNS2dOnXi1q1bsolo4cKF2b17NzExMUybNo1NmzbJLrbLlCnDxYsX6dq1q05375/7noCUmb9WrVppzAAqlUqGDBlCp06daNOmDdHR0QwdOlQrrYGBAQYGBgwaNIhWrVpleI9+KRflAoEgZ6OQJOF6RCD4FlCpVLx+/TrddTGRkZGZ8u4lEECK2+rk5GSMjIy4cOEC5cuX17nvT1okSUKtVmNgYPCFavn18M8//1CzZk2dnf9nz55pDQKA9j5AAoFAINCNUGgEAoFAIBAIBALBV4sY+hEIBAKBQCAQCARfLUKhEQgEAoFAIBAIBF8tQqERCAQCgUAgEAgEXy3ftJcztVpNSEgI+fLlE7sUCwQCgUAgEOghkiQRHR1N8eLF9dIRRnx8PImJidlStpGRkdbeWwJtvmmFJiQkBBsbm+yuhkAgEAgEAoHgAzx//jxDF/PZQXx8PKVKFuTlq7hsKb9o0aIEBAQIpeYDfNMKTb58+YCUB0TX3hmSJJGUlESuXLnEDI6eIWSjvwjZ6CdCLvqLkI3+ImSjH0RFRWFjYyP32/SJxMREXr6K46lPH/Lny3gvrKwmKjqRElX/JDExUSg0H+CbVmhSX0758+dPV6FJ9fMvXmT6hZCN/iJko58IuegvQjb6i5CNfqHPMsifz4j8+b+sQiPIPPpnqPgFUavV+Pj46NyJWZC9CNnoL0I2+omQi/4iZKO/CNkIMouEOluCIHPkaIVGqVRStWpVvVyAltMRstFfhGz0EyEX/UXIRn/5VmXj5eVF69atMx1/6NChnD59+rPLLVq0KL6+vp+dj0DwsXzTJmeZQaVSfXMvsm8FIRv9RchGPxFy0V+EbPSXnCKbOnXqsGTJEpo3b55hvPj4eMzMzKhatarG8du3b5OUlPQf1lC/UUsSakn64mUKMkeOVmjUajX379+nUqVKYrpZz1CpVDx+/Jhy5cphYGCQ3dURpEHIRj9JlUvlypUxMhJ23vpE6rematWq4pnRM3K6bFQqFXFxcSQnJxMXF0dsbCwGBgaYmZkxefJkjbjDhg3LploKBB8mRys0SqWSIkWK4Ofnl91VEejAxMSEZ8+eZXc1BDoQstFPTExM8PPzw9zcnKJFi+r1AtuchIGBATVq1Mjuagh08K3Jpm7dujx//pzExERiY2MpWrQoAPfv39cZ/9y5cwwZMgS1Wk1AQACDBg3i6dOnKBQK8ubNqxE37fvkzz//ZNSoUVr5RUVFUatWLa0ZLwcHB3bu3Pm5zRMI0iVHKzQvXrwgIiICS0tLTE1Nxcdfj5AkCUmSUCgUQi56hpCNfpLqrSkuLo6wsDAAihUrls21EkCKbOLj4zExMRHPjJ7xrcnm6tWrAPTu3Zvw8HBOnDjxwTRt2rQhOTmZfv36MWbMGAAiIiKYNm2aRrzo6Gj57z59+tCnTx+tvKytrTl//jwlS5b8jFboJ6nL9L90mYLMkWMVGpVKRUREBObm5lhYWHwTL7JvCUmSiIuL+2Y+Mt8SQjb6SapcUt9noaGhWFpa5kgzGn1DrVbj6+tLpUqVhDz0jG9RNpGRkRw4cIBixYrx5s0bChYs+FHpjY2NmTlzJlOmTGHixIlUqVKFAQMGMHz4cGJjYzE1NQVS9virW7euRtqwsDDq1q2rcS0dHR2ZP3/+5zdMIMiAb38VXDokJSWhUCgoUKCA6JTpIQqFgjx58gjZ6CFCNvpJWrnkyZMHIEcv4NUnDAwMcuwaDX3nW5TNrl27qF27NtHR0bRq1YrXr19/VHqFQsH169f5+++/5WNHjhzBz89PVmYgZWDY0NCQly9fyqFYsWJcvXpV/j158mSioqKyrG3ZiZRN/zJLUFAQ1tbWWiF37ty0a9cOgISEBCZPnoydnR3FixenS5cuhISEaOQTHBxMr169KFmyJFZWVjg7O5OYmKgR59KlSzRp0gRbW1vKli3LunXrPv8CfyY5VqFJRa1WIwkvEnqHJEmoVCohGz1EyEY/SSsXoWzqF5IkERsbK54ZPeRbk018fDxLly5l8ODBVK9enR49etChQwdiY2MzlV6tVnPp0iUcHBwIDg7mxYsX+Pn5cerUKbp168alS5e+mWv1rWFtbU1QUJBGuHv3Lnny5MHFxQWA0aNHc/nyZa5fv86zZ88oW7Ys7dq1Q6VSAZCYmEibNm2wtbXFz8+Pe/fucePGDZydneVyHj16RNu2bfn555959uwZnp6ezJgxgz179mRLu1PJ0QqNJEliBFOPeX9EQKA/CNnoJ0Iu+olarSYwMFB409RDvjXZzJ8/n+rVq2NlZQWAq6srFSpUyHT7EhISmDt3LgcOHGD+/Pn4+fnx559/cuLECY4dO8bcuXNJTk7+L5sgyEIWLlxIo0aNaN26Nc+ePWPTpk0sXboUMzMzDA0NmT9/PsHBwRw5cgSA3bt3Exoayvz58zEwMMDc3Jxly5axfv16wsPDAViyZAnNmjWjW7duAFSsWJGJEyeyYMGCbGsn5HCFRqFQiHUAeopCoSB37tx6KZu7d+/maEVYn2WTkxFy0V8MDAyoXLnyN2XW9K3wLckmNjaWlStXsnDhQvmYQqHAw8ODfPnyacV3dXUlLi5O/u3u7k6BAgU4dOgQhw4donLlyqxZs4bvv/+en376ST6eK1euD9YlOjqa5ORkYmJivpl3khpJ3ovmi4X/MzmLiorSCAkJCR+s74sXL1i5ciXz5s0D4MyZMxQpUoRatWrJcYyMjGjbti1Hjx4F4J9//sHe3l5DxrVq1aJgwYL8888/cpyOHTtqlNWpUydu3LhBaGjo513kzyBHKzSAXpnOxMTEsGrVKo1jr169Ii4ujoiICPz9/bXSeHl5oVarad26NXfv3mXv3r28ePEClUpF9erV5WnErw19NGuSJAlvb2+OHj1K79699W5Eb9OmTTx8+FDj2MWLF9m8eXOWlqNLNs2bN/+k6WZra+tM7Sr96tUrli5dqnV86tSp8qjR10xWyE4fnxlBCpIkERUVJWSjh3xLsjE1NcXb25vSpUt/MG5iYiILFiygWrVqzJgxA4BffvmFa9euyed9fX2xs7PTSOfm5sbbt28/mP+6devImzcvCxYsoHHjxp/QGkFabGxsMDMzk0NmZkOWL19OixYt5A1Sg4ODKV68uFa84sWLExwcnGEcKyurDOOk/k6Nkx3kaIXmY03OBg0ahJub239Wn2XLlnHz5k2NY05OTpw6dQpfX1+6dOmiMZoCsGjRIvbv3w9AXFwcTk5OKBQKAgICiIiIyHDU6cqVK5+tTffp04c1a9ZkOn5CQgJhYWE8ePCAEydOsHnz5nT3M0lrPhMbG6uhQFy6dAlra+tPqvPKlSs5d+7cR6VRq9UkJSWxevVqAIoUKcKNGzc04rx8+VLjd506dahcuTJ16tTRClZWVsydO/eD5Xp4eODg4JCpOi5atEhrJOzKlSvcvXs3U+k/hi9t2nTq1Cn5Q5uW1atXY2JikuXl6bPswsPD0zX5ECZn+olarSYkJETvBkEE355s3vc6lhaFQkFwcDBRUVF4e3uTJ08erKystDqnKpWKMWPG0KtXL3kvmnfv3pGcnMymTZvk94+lpSUbNmzQWZazszPx8fHExsbSq1evLGpd9qLOpgApHuUiIyPlMGXKlAzrGhERwZo1a5gwYYJ8LFeuXFr7A0HKfZGq0H9qnNTvV3YODORYt83w8SZniYmJmZrmMzT88GUdOHCg/CIIDQ3l0KFDeHh4cOHCBXr06MGGDRt49eoVDx48oGnTpuTNm5eWLVsybNgwtmzZIt9Mo0ePJigoCIAnT57g5ORE0aJF2blzJ/nz58fLy0su08rKStbUU9POnTuXtm3batQtdT8LlUr1wR3HM9PWVJYuXcqkSZMoUqSI7HnjzJkzzJ49m+nTp2vETTWfSVv306dPf/YGaNu3b8fV1ZXz58/rPP/rr78yadIk1Gq17DAi9QGtU6cOJ0+eZPDgwezcuVNjSnbnzp1cuHCBlStXauTXvn172ZY5LcePH/+sdrxPUFCQPJOXdkQtPDwcY2Nj2VtNzZo12b1792eV9b5svgQnT56kTZs29O3bl8uXLwMpHZHY2FiNe2LTpk00adIkS8rUV9mdOHFC572WHXIRZA4DAwMqVKiQ3dUQ6CAnyaZNmzaMGDGC/v37kzdvXnnPmbS8ePECe3t7unbtyuzZswGoXr0648aNY8aMGdStW5fChQsDkCdPHq3+g+C/IX/+/OTPnz/T8bdt20ahQoVo1qyZfMza2lrLoxlASEiI/K371Dipv3V9M78UOVqhAUhOTs60V6B3794RERHxwXgqlYrnz5+nO4Mwd+5cDTMbQ0NDVq5cyciRI/H09MTY2Ji8efPi4ODAnDlzcHR0ZMiQIbi7u+Pg4MCECRNYtmwZCxculHfe9fPzIygoCBMTE169eoWxsTFqtZpVq1bh7+9PcnIyo0aNkhWaxMRE7t69S4MGDYCU3YJHjx5NcHAwb968kesWFRWl0/Y2lVy5chEWFsaFCxfw9fXl8ePHsr3m+/z000+MHz8eAwMD3r17R6tWrejRoweurq5acVPNZwwMDLLM/vbvv/9m5MiR7Nixg+rVq+uMM3ToUHr16oWBgQEGBgYYGhpiYGDA8uXLOXXqFPnz52fv3r0aaUJDQ5kyZQp37tzRyq98+fJaU/YAPj4+WdKmVPbs2UPPnj2pX7++xr3l4ODAzJkzZTlnBWvXrpVNFFJ58+YNt2/f1vpAPn78WOMlPGHCBNauXSu7FQ4LC6NBgwYYGBigVqvJkycPgYGBGnkkJydz+PBhFi1ahKOjo3z80qVLzJw5k2PHjmVZ29LyKbJ78OABhoaGlC1bVuP4wYMHUSgUWnbH8PGy6927N+vWreP48eO0adNGPp72mRHoF5IkERkZiZmZ2TeznuBb4VuVjYODg9YM8fz589PdD2b9+vXy31euXNEYHOnfvz/9+/fPVLmpA6zfIl/TxpobNmygf//+Gvd0y5YtCQ0N5c6dO1SrVg1I+b7+888//O9//wOgbdu2ODk5kZycLA9Y37t3j7CwMFq2bCnHOXLkCEOHDpXzPnbsGDVq1KBIkSKfVN+sIEcrNKkdgMySOlWb1RQsWJCjR4/SvXt3QkNDOXr0KGFhYTRs2JCWLVsyefJktmzZgouLC9u3b5d36508eTLOzs44OTnx8uVL6tWrx9SpUylXrhy2trasXbuWdu3aMWXKFGxsbBg1apRc5t27d7GyspI7m2XLlmXJkiXY2tpiaWmJUqlEqVRmqMxAygZcf/zxB6dPn6ZEiRKUL19e3nX5fVJne1QqFb169cLMzIzt27en2wG7ePEisbGxKBQKkpOTuXjxomzW9fDhQxISEuQZKBMTE5o3b55uPdesWcPo0aM5dOiQ7I9dF3nz5pWn2FOJi4tj1apVrF27VmeaJUuW8OOPP2pdq5IlS/L777/rnL5NSkrSMg3o1auXlrKUOkOkaybMz8+PEiVKACnmTePHj5fjb9myhUmTJlGsWDFGjhwJIO8L8LnExsbSpk0btmzZIr8smzdvzpgxY+jRo4ccT6FQ6DTjmD9/vqz4WFtbc/r0aezs7AgKCtJpa33w4EGMjIwoWLCg3GEvWbKk3AGpUaMGL1++xM3NjREjRnx2++DjZZfKggULKFOmDDNnztQ4njt3bgYPHkyLFi009nGAT5Odi4sL06dP11BoIOXjJBQa/UOtVhMWFka+fPmEfPQMIZsUJEnCx8eHw4eP8OSxL9FR0RgaGmJubkbd+nVo164dxYoVy+5qCjLBo0ePuHXrFn/88YfG8cKFCzN48GCcnZ3Zt28fpqamuLq6UrBgQTp06ABAx44dKVy4MNOnT2fu3LnExMTw008/MXjwYHlmbsyYMdSuXRtPT086d+7Mo0ePmDdvHsuWLfvibU1LjlZoFAoFxsbGmRqVUavV+Pv7Y2RkREJCAsbGxllalzx58vDmzRtWrFjBgAED2LFjB0uXLmXq1Kk4OTlhYmJC3rx5GTJkiOxez9vbmylTpuDi4sLz58/p2rUrY8eOpUGDBgQFBcmLs/z8/GjVqpVGef7+/lSsWFH+XbRoUYoWLfrR9c6dOzfOzs4aPsozQpIkhg0bxtu3b/H29k7XpE2hUODp6SmvIUhISGD79u2y0hAREUFMTAy//vorkPKg6lJo3rx5w5gxYzh69ChqtTpDZSY9Vq1aRdmyZencubPO87t375ZnyiDFJOnVq1d07dr1g3lv27aN2rVrU7FiRXbt2qV1fvLkybi7u/PgwQOtUf+05d2+fRtIWVMSHh5OyZIlGTx4sIa3m0+Rry4UCkWWzpx9iCVLlsh/FylSRHYCcPnyZVlxzqq1bZ8qO0iZ9Tx69CiHDx/Witu6dWtq1KjBvHnzNEZIP1V2bdq04YcffuD58+fY2NgA/9+EVqB/GBgYpPv8CrKXnC6b5ORkjh49yv59B7jv8whFohEF8xTFKJcpyZKaAP9wrl/chMeGrTRr2YRu3b6nZs2a2V1tQQYcPnwYc3Nz6tSpo3VuxYoVTJ48mUqVKqFSqahXrx5eXl7yoKmhoSFeXl6MHj0aGxsblEolPXv21Pge2dnZcejQIZydnRk5ciR58uTBzc2N3r17f7E26iJHKzSSJGXa5OzWrVtUrFiRokWLcvjwYdn/dlawZs0apk2bRuHChfHy8qJOnTrMnj0bCwsLnj17ho2NDUuXLqVs2bLcuHGDY8eO4eDgQFJSEuvWrcPW1hZ3d3fZL/ikSZNwdHTE29uboUOHcuvWLa0Xdnh4uNwR+hzy5s2bKY8nkKIUDhkyhM2bN9OsWTOqVq1KUlISJiYm/Pjjj0ybNk1elyJJEgsXLpQ7zubm5qxevVpeL3H69GmGDx+usUYoLcnJyWzevJnp06fj4ODAkSNHaNiw4Ue37/r168yZM4dLly7pvEeCg4N5/vy5hhvEmJgYPD09SUpKolWrVrx69Yo///yTn3/+WWcZGa3LunTpEh07duR///ufztEPtVrNlClTqF27tta5zZs3c+LEicw086NIXWP1JTZw3L9/f7oL3Rs1aiSXHxISomUG9yl8juz27dtH4cKFqVevns647u7u1KlTh/Hjx2NpaflZssuVKxc1a9bk/Pnz/Pjjj4AwOdNn1Go1b9++pUCBAjpn/QTZR06WTWxsLHNmz+GfY+cwMyhCjeLNKWxeTOu9rlIl8zTUl9Oelzl1/Axjxo+kV69e35SJXmaQ/u/fly7zY8lokNnY2Jjly5ezfPnydNNbW1tz4MCBDMto0qQJV69e/ei6/ZfkaIUGyLTJ2datW2nfvj1Vq1Zl1qxZdO3aNctefsOHD8fJyYljx46xc+dOli9fzsmTJ2XznRkzZhASEoKLiwt9+vSRbVtTpwh37tzJd999h4WFBQBjx45FrVbTvXt3rly5glqtlk2TUnnz5g358+cnKSkpUz7l08PMzEynO+n3SU5Opl+/fvz99984OzszZMgQeWT72bNn9OzZk5iYGA3XvBmZz4SFhcntfZ/IyEjq1KlD3rx52bRpE23btv0kT1/h4eH06NEDtVrNjRs3qFSpklacFy9eULBgQY1r+P333xMcHMymTZu4dOkSUVFRFCtWjP3792uZfI0ZMyZdRweBgYE8fPgQHx8fKleuzKhRo7TWdISEhFC9enWdi8EHDhz4n8zQwMd7MlmyZInGTEuql7BXr15Ro0YNDTO/okWLUrZsWc6dO8epU6dYvnw5/fr108rzwoULWT5D86myS0pKYubMmfzyyy/p5l2xYkUaN27MihUrmDt37mfLrkiRIrx48ULjmDA5008kSSIiIgJzc/PsrorgPXKqbOLj45k8aQqXTl+nTqmWWBbQdtWbioGBIaWLVaBU0fLcf3qdX91XkZCQwMCBA79gjQWCjMlZwxHvkVmTs8DAQHbu3Mnw4cPp2LEjpqamLF68OMvqoVQq+eGHH+SR6AYNGtCxY0eioqIIDg6mZs2aHDhwgJMnT/Lq1Ss53bRp06hSpQr9+vXj7Nmz2NnZkTdvXnr37o2NjQ1Dhw6la9eu9OzZU2fblUolrVq1Ijk5mb///pvY2NgP1jUuLo7x48dTunRpLCwsWLBgASdOnODPP/8kPj4+3XTOzs7cvHmT27dvs2TJEg1zN1tbWyZNmqQx2/IhD3QPHjygXLlyOs+ZmZmxZ88ebty48ckeWJ48eULDhg3p0KEDx44d4+eff2bMmDFa7nLVanW6im3Hjh1ZsmSJ3Mk9evQoJiYmHD58GB8fH/Lmzatz0Xkq8+bNY+DAgRQuXBhnZ2cGDRqk5Wbc2to63bU9mzZtokaNGnLIKhQKBXv27KFYsWKyqeLFixcZNmyY/Pv9DviECRPkdSCpYe/evVSvXp0SJUoQEBCgcS7VrfayZcvS9UBUv359uW0f4zo8M3ys7KZPn46pqSmDBg3KMN+ffvqJtWvXkpSU9NmyMzQ01LgfxUbB+ouBgQFlypQRyqYekhNlI0kS7ovc+ff0NRqUdchQmUmLQqGgcsk6lMhfmT9Wb8hyj4/6TqpTgC8dBJkjRys0qfvQZDTaHBcXR58+fRg/fjyFChVCoVCwYcMG3N3d2bZtW5bV48yZM/J6kmrVqnHu3DnatWvHkSNH2Lt3L3/99ReVKlXCwcFB9oQ0d+5cVqxYQatWrbh//z7Tp09n6NChcmfQ3t6eFy9e6HRjmydPHjw9PbGzs8PQ0JCff/6Z58+ff7Cuixcvxt/fn/Pnz/PixQvmz5+PJEmsWrUKW1tbFi1apLVXDsDEiRP5999/CQ4OpnLlylSsWJGhQ4fy7t07AO7fv0+pUqU0rkla2URERMgdO7VazZ49e7QWRKelevXqn9yxO3DgAN999x1t27ZlxYoVNGrUiEuXLuHl5aW1F5ClpSVv3rzReQ9t2bKFHj16MG7cOCDFTGjmzJkMGjSI33//ndy5c9O6dWuddfjzzz85evSo7M564sSJKBQKunfvrmWilt6HuFWrVvz6669ySEtiYiJ//PHHJ+290K5dO06cOMGLFy9kBaRhw4asW7dOQyk5fvy4loOFVFQqFbNmzWLatGm0a9eOAQMG6NwTKqNOxuLFi+W2ve/N59y5c1y/fv2j25bKx8qud+/e7Nix44Odovbt23P58mV5Ru9TZJdKWFiYhkeZzLzPBNmDWq0mNDT0m9nr5FsiJ8rm8ePHHDt8gqrWDSiQr9BHpy9vU5286sKsX7sx3T2xBIIvTY5WaCBj05mwsDA6dOiAtbU1EydOlI/b2dmxe/dunJyccHV11Wnjb2dnh4mJic4wa9YsjbiPHz/W8N1dq1Yt7ty5g7+/P7a2tvKxc+fO0bNnT41FxT4+PgQEBDBp0iQWL14se3lSq9U4OjpSr149Ro8eraWsFCxYkHv37slucBs3boyzszPnzp3D39+fR48ecenSJS0XtYmJiRgYGGBqaopSqeTatWu0bNmSixcvcvDgQfbt24eTk5PW9bCxsaFgwYL88ccfjBs3jgcPHlClShV69eqFm5sbv//+O4sWLdJIk94Hxt3dnbi4OA2PWlnBjRs3aN68OX379mXhwoWsXLlSnn0pU6YMp06d4v79+9jb28sv8RIlSmBubs69e/e08hs9ejQnT57E3d1dPtapUydKly7N2LFjWbVqlVYaSZJYsWIF48ePx9PTU1YIDAwMOHjwIC9evKBZs2YfNKFr3Lgx9vb2BAYGyuG3336Tz7948QI3NzdGjx790depXLlyOhcbvk/r1q11emd79+4dQ4YMIX/+/HTv3p2FCxcSHx+Pvb09fn5+marDkiVLCAkJkdvWvHlzWrRoIZ8/evQo9vb23L9/P/MNS8PHyq5GjRqUL18eSDEDjI6O5s2bN1pKtVKp1FDcdfEh2UHKfXLr1i2t9To5qVP2tZE6eCPQP3KabA4dOoQqTolN4TKflF6hUFDBpgaBvs+4cuVKFtdOIPg0cvQaGoVCgZGRkc6R/E2bNuHq6krTpk3ZunWrlllRy5Yt8fb2plu3bpw4cYJLly5pxPH19U13H5r58+drdNwePnyosdfE2LFjuX37NuXKlcPAwEAeufbw8GDUqFHMmTNHjjtu3DgaNGhAhw4dMDQ0ZMGCBcydOxdnZ2cSEhI4e/YsK1eupH79+mzdulX2dmZjY4OxsbG8UP7333/H1dWV/v37ExwcjKGhIQUKFKBTp04arv8mT57M+PHjKVeuHLGxsVSrVo0///wTSDEBunTpEjExMele82nTpuHk5MSsWbPIlSsXBQoUoE6dOty6dQtLS0sN2bzvSS4pKYlZs2bx+++/c+rUqSz36JScnEyJEiXw8PCgZMmSWudtbGw4deoUx48flzvqCoWCzp074+XlRZUqVYCUmYNly5ahUCjYt2+fvAuzSqViy5YtnDlzhqFDh9KlSxemTZtG7969MTEx4erVq4wdO5bXr19z7NgxLU8y5ubmnDx5klGjRvHdd98REBAgu1FMy4oVK9KdPZw6dSre3t6ULl0aLy8vGjRoQI0aNXQqoemhSzaZITQ0lH379rFw4ULs7e3ZunUrCoUCQ0ND9u3bh5ubG9WrV6dPnz6MHTtWvp7vk5GZXseOHfn111+ZP38+z549o1u3bly5ciXTG5J9quzSMnXqVLlt77tv/hCZld2VK1ewsLDQMN38VLkI/nuUSqXOd4og+8lpsomKisLrsDe2FuU+yzy1QL5CGEv5Oeh58JMc7nyNSMCXHjIS8+2ZRyF9w/YJUVFRmJmZERkZqdWhiY+Px9/fHxsbG/Lmzav1YP/2228ULFjwg5tJhYaG8vDhQ5o2bSofCw8Pp2DBgh/lNCAhIYFTp06xc+dOPDw8SEhI4MGDBxQoUIAGDRoQFxeHpaWl3DlTKBTcuXOHESNGEB8fj7u7O02aNMHDw4MbN24QEhLCtm3bMDMzA1Jcwt67d4/ff/8dgNevX3Pw4MEP2vxnF6ke6AwNDWXZ9O/fn8ePH7Nt27aPdrMZGhrK77//nmWLx9Py5MkTOnXqxL179zAwMOD169colUoKFCgApCisQ4cORalUUqhQIVasWIG1tTWXL19m+vTpzJ49m++++46XL1+yadMmnJ2dP9gx9fX11ejYjxkzhjp16hATE0N4eHim27l+/Xpy585N3759M91eXbLRtQ9NWhITE6lbty6VKlVizJgxNGrUSGe8R48esWTJEoYOHUr9+vWBlOepTp06BAYGUqhQIdlt84eIiYlhzJgxLFu2jIIFC2YqzafK7nP4FNn17dsXBwcHjfdTWrkkJCQQEBBAqVKlhCtnPSDVrCl1jy+B/pDTZOPl5cW0ibNoXbknxkbaDkk+hoAXj3j67jb7D+2T35mfSkb9tewmtW4BAb3Il0/3VhP/FdHRiZQqtUsvr4u+keMVGmtra/Lly/dVLqRVq9U8fPhQy/tWTEwMpqamX2WbUpEkicTERI0ZtPj4+EzvG/SlmTdvHrly5crQy1VsbKzWpopfI7pk862jT7I7d+4c7u7uHDhwQKMDllYuQqHRL9RqNUFBQVhbW+eITvPXRE6TzZ9//snKRWuxr97rs/N6HfWKG8En2bZrM6VLl/6svL4GhcYvmxSaMkKhyRTC5Owr7pQplUqdroTTW4j9NaHLfEafO2ZTp07l/PnzGcbRlw7x55ITTZv0SXZmZmZs27ZNq/OVE+XytaBUKuX1kAL9IqfJJj4+HgNF1nT9DA1yoVZLOh0BCQRfmm9/OCIDUkc0v+FJqq+Wr1E2jRs3zu4qfBG+Rtl8S1SrVk02JU2LkIv+olarCQ4OFk4b9JCvVTaSJJGQkEB4ePhHeRrLnTs3KilrPJMlq5JQKpXkyZMnS/LTd9RS9gRB5sjRCo1AIBAIBAKBvuPq6kr58uWxtrbG3NycXLlyYWJiQuHChalevXqm8ylYsCDJ6gTiEz9/ViUy9i25jAw/e/2MQJAVCJOzr9jk7FsmVTYC/UPIRj8RctFflEqlhmt+gf7wtcimZs2aJCUlYWpqSnh4OIcPHyYwMBAgw7Wb79OwYUMKFjHH/8UDKpWo9Vl1Cgx9SJMODTA3N/+sfASCrCBHz9AIEw39JXU6XchG/xCy0U+EXPQXtVrNs2fPvjqzppzA1yKbnj17MmLECO7fv8/q1avJnTs3JiYmjBgxgoEDB2Y6n3z58uHQwZ7nr58gSZ/e5jdRoSQaxNC5c6dPzuNrQ8qmIMgcOVqhAcTsjB6TEzzOfK0I2egnQi76i5g901/0XTZv377FxcWFihUrcvHiRTZu3EjBggUpXrw4ixcv/uj8OnbsiIGpxLPQzG1k/D6SJPHg+S1Kly1J3bp1PykPgSCrydFfP4VCQa5cuYRSk0m+5IyWkI3+ImSjnwi56C9KpZKiRYsKhVMP0WfZJCYm8ttvv2FnZ8cff/zB9OnTefz4MeHh4Vy8eBEPD49P8mpatmxZ2ne2517wJV5HhX50+gfPbhJn8IbhI4ZiYGDw0em/VtTZFASZQ/+e4C+IMDn7MMnJyZw/f57JkyfTrl072rdvT7t27Zg8eTLnz5//KO8qH0N2mM/ExMSwatUqjWOvXr0iLi6OiIgI/P39tdJ4eXmhVqtp3bo1d+/eZe/evbx48QKVSkX16tVRqVRfqvpfDGHapJ8IuegvarWawMBAvTdryonoo2wkSeLvv/+mcuXKODs70717d548ecL06dMBmDZtGi4uLjRp0uSTy5gwYQKNWtXnsq83L98EZbped/wvExTzgFHjhtOiRYtPLl8gyGpytFMAECZnGeHv74+bmxsBAQFYWFhQpUoVTExMiI+P5+HDh1y4cIFSpUrh5ub22Ztq6eL9EbNBgwZRsmTJTO2k/iksW7aMp0+fahxzcnJi+PDhWFpaMnjwYK5cuULu3P9/d+VFixbx7t07AOLi4nBycuLu3bsEBAQQERHxzY5e/RejmSVLlsTDw4PmzZtned45BX0cZRakkFNc236N6JNsrl69iouLC+fOnaNt27bs27ePqlWryudNTEw4cOAALVu2/KxyjI2NWbBwPvPmzcf70D/kCylEmeKVKVrAWqtflKxKIvDlYwLDHqI0TWbiVGe+//77zypfIMhqcvTXT5hopI+/vz8///wzb968oWfPnvTq1YvatWtTuXJlateuTa9evejZsydv3rzh559/1jl78Tnokk1iYiIJCQkfTGtoaPjBMGTIEDl+aGgoGzduxMPDg7lz59KjRw8iIyN5/PgxDx48oGnTptSpU4eWLVsybNgwjZG80aNHExSUMrr15MkTnJycKFq0KNeuXSN//vx4eXnJwcfHJ9Ptv3XrFi1atKB48eLY2Njg6upKUlKSfL5nz55YW1trhEKFCqFUKnn58qUcz9PTk9q1a2NlZUXZsmWZN29ehrNGJ06coGnTplhbW1OiRAl69OjBkydPNOLExcXh4uJCiRIlKFasGI0bN+by5cvyebVazaVLl3BxcaFgwYJ4eHhkqs2Zla9AN+J9pr8olUosLS2FwqmH6Itsnj59St++falXrx5v376VvxtplRlIqa+Dg0OWrPvJnTs3bm4zmb1wOmXrFudu6HmO39rN1UdnuO13iZu+F/n3/gm8b+8iOPEBbXs05fe1K+nWrVuOfM+IfWj0mxw9Q5NqomFsbJwjH870SE5Oxs3NDZVKRc+ePdN9cRYuXJiePXuye/du3Nzc2LhxI4aGWXNL6ZLNu3fviIiI+GBalUrF8+fPsba21nl+7ty5+Pr6yr8NDQ1ZuXIlI0eOxNPTE2NjY/LmzYuDgwNz5szB0dGRIUOG4O7ujoODAxMmTGDZsmUsXLiQnTt3AuDn50dQUBAmJia8evUKY2Nj1Go1q1atwt/fn+TkZEaNGqX1cdLFq1evaNWqFbNmzWL06NFERkYyYMAAJk2axLJlywDYvXu3VrohQ4aQkJBA0aJFATh16hSDBg3C09OTxo0bExQURNu2bVEqlUyZMkUr/Y0bN+jYsSN//vkn3bp1IzExEVdXV1q0aMGTJ0/kmanevXtTqFAhHj58SO7cuVm9ejXOzs6cO3cOpVLJpk2b+OOPP7C3t/+oGarMylegm7TPjEC/UKlUBAYGUrJkyW921vZrJbtlExkZycKFC1m+fDnm5uasXbsWR0fHL1YXQ0NDHBwcaNu2LQ8fPuTIkSP4PvYjMjIKI6NcmJnbUKduVxwcHChcuPAXqZNA8CnkaIUGEB8XHVy6dImAgIAMlZlUjIyMsLe3Z/fu3Vy+fJlGjRplWT3eV46Cg4OJiorKsvxTKViwIEePHqV79+6EhoZy9OhRwsLCaNiwIS1btmTy5Mls2bIFFxcXtm/fTnR0NACTJ0/G2dkZJycnXr58Sb169Zg6dSrlypXD1taWtWvX0q5dO6ZMmYKNjQ2jRo3KVH08PT2xtLRkzJgxAJibm7NhwwZKlSrFrFmzyJcvn1aae/fusXv3bu7fvy8fu3z5MlOmTKFx48YAWFtbM2LECDZt2qRToTl+/DiVKlWiW7duQIpsp0+fztKlS3nw4AG1atXi1KlT/PvvvwQGBpI7d24UCgVjxoxh5MiR8gjnkCFD5Bmwbdu2ZarNsbGxREZG8ujRo0zFF+gmqwYUBFmLQqHA3NxcDJzpIdklm+TkZNauXYubmxsxMTH88ssvTJw4Uef7/UugUCioWLEiFStWzJbyvwbUKFDzZe+TL13e10yOnv9WKBQYGhqKj8x7HDp0CAsLi0yPxhQuXBgLCwsOHTqUZXV4XzZqtRp/f38ePHjwn5gl5cmThzdv3rBixQoGDBhAQkICS5cuZfny5Tg5OWFiYkLevHkZMmQI5cqVA8Db25sGDRrQpk0bqlSpQteuXRk7diyzZs0iKCiI4OBgIGX2JjVNKtbW1vJsy/tERUVpmT8YGxsTFxfH9evXdaaZOnUqw4cP15iVmjx5MhMnTtSI5+PjQ/78+XXmUadOHR49eqShFHl6elKkSBG5/p6enrRs2RJTU1ON5+ZzBwYePXqEubk5586d+6x8cjLifaa/KJVKLCwsst2sSaDNl5aNJEkcOnSIqlWrMmbMGNq3b8/jx4+ZPXt2tikzAsG3QI5+uwqvQNpIksStW7ews7P7qHR2dnbcvHkzy66lJEnEx8fL+d26dYuKFSvSqFEjDh8+nCVlpLJmzRrZqYGXlxd16tRh9uzZ/PLLL/j5+REeHs7SpUspW7YsKpWKY8eOAZCUlMS6deuwt7cnPDycZs2acezYMeLi4nB0dMTb21uue9myZTXKDAoKwtnZWWd9unTpgr+/PytXriQpKYnXr18zcuRIjIyMNNbHpHLv3j2OHTuWbn6Qcj0XLlyIh4cH06ZN0xmnVatWrF69mo4dOzJgwAAcHBw4ePAgFy5ckF2DPnnyBBsbG+bMmUPlypUpU6YMQ4YMITw8/ANXOWNOnz7NyJEjuX//vs42Cj7M+8+MQH9QqVQ8efLkm/R6+LXzJWVz8+ZNWrduTadOnShWrBjXr1/Hw8MjXfNogX6ROkPzpYMgc+RohUahUAiTs/dISkoiOTkZExOTj0pnYmJCcnKyxsL1zyWt+czWrVtp3749AwcOZP78+VnqYnP48OGEhYWxfPlyIiMjmTVrFu3atcPd3Z2dO3eSO3duQkJCGDJkCAcOHMDBwQGADh06UKtWLU6cOMF3332HhYUFAGPHjsXNzY3AwECuXLmCWq2mRIkSma6PnZ0dp06dwtPTkzJlytCxY0cGDx5M/vz5dZoULVq0iF69elG8eHGd+b1584aOHTuyatUqjh07RuvWrXXGU6lU+Pn5YWlpSd26dalbty7Xr1/nn3/+0YizdetWChUqxM2bN7l27RrR0dG0a9fus2SydetWOnbsSO/evXF3d//kfHI6wuRMP1EqlRQuXFjM0OghX0I2wcHBDBo0iNq1axMSEsLBgwc5efIkNWvW/M/KFAhyGjn+6ydMNDTJlSsXhoaGxMfHf1S6+Ph4DA0NyZUrV5bUI9V8BiAwMJCdO3fi4+ODhYUFS5YsYfHixUyaNClLylIqlfTs2ZP+/fsD0KBBA27dukVUVBTR0dHUrFmTiRMn0r59e8qUKUPJkiWBlL0A9u/fz8OHDylXrhx2dna8fPmSmjVrcu7cOYYOHUrXrl0ZOHDgR9fpu+++4/jx4/LvuLg4wsLCtNxjv379ml27dsmzQe8TEBBAq1ataNy4Mffu3cPMzCzdMhcuXIiXlxcXL16U5ejo6Ei1atUoV64czZo1w9bWFhMTE0aOHAmkrLNZuXIlRYsW5cGDB1SuXPmj27pr1y5MTU1p2LAhdnZ2VK1alR49etCwYcOPzisnk/aZEegXqes0BPrHfymbmJgY3N3dWbJkCaampqxatYphw4Zl2XdSIBD8f3L0cJEw0dBGoVBQo0YNDS9gmcHX15eaNWtmmXIoSRJxcXG8e/eOPn36MH78eAoVKoRCoWDDhg24u7tnesF5Zso6c+aM7AChWrVqnDt3jnbt2nHkyBH27t3LX3/9RaVKlXBwcJCvzdy5c1mxYgWtWrXi/v37TJ8+naFDh8rrQOzt7Xnx4sUnbX6WurdNKidOnKBYsWJUr15d4/i2bdsoVqwYTZs21cojMjKSNm3a8NNPP7Fly5YMlRmACxcu0KhRI42PbalSpShbtqzslrlJkyYkJCQQFxen9dx8inctX19fxo0bx+LFiwGwtLRk1apVdOnShTt37nx0fjmZ1GdGvM/0D5VKxcOHD4XJmR7yX8hGpVKxfv16ypYti7u7O+PGjcPX15dRo0YJZeYrRpIU2RIEmSNHKzSp+zYINOnYsSOvX78mLCwsU/HDwsJ4/fo1HTt2zNJ6REZG0rFjR6ytrTUWt9vZ2bF7926cnJxwdXUlMTFRK62dnR0mJiY6w6xZszTiPn78GCsrK/l3rVq1uHPnDv7+/tja2srHzp07R8+ePZk/f74c18fHh4CAACZNmsTixYsZMWIEkOLEwNHRkXr16jF69GieP3+e6Xb7+PhQqlQprly5AqTMUP3yyy8sXLhQy0Ry586dtG/fXqciOWXKFJo0acLPP/+ssxyVSkXu3Lk5ffo0AC1atGDXrl1cvXpVPr9u3Tru3r0rm6n17t2bgIAA1q9fj0qlIjY2lrFjx9K0aVPKlCmT6TZCipvoVq1aMW3aNBo0aCAf79mzJ87OzjRu3Jhdu3Z9VJ45nazYm0KQ9SiVSooXLy5MzvSQrJbNsWPHqFGjBsOGDaNly5Y8evSIBQsWfHBASSAQfB45/u1qYGAgTM7e47vvvqNUqVJ4e3vrVBbSkpiYiLe3N6VKlaJ+/fpZVgcPDw9q1qxJ4cKF2bZtm9bHpmXLlnh7e7NhwwYaN26stX7D19eX+Ph4nWHWrFkaisHDhw81OtRjx46lYcOGlCtXDgMDA3ldkIeHB/Xr1+fevXty3HHjxrFt2zY2btzI69evWbBgAc+fP6dXr14kJCRw9uxZRo8eTf369Tl58qScLiMvZ1WrVmXBggUMHDgQKysrOnTowJQpU2STuFTCw8O5cuVKumtijh49ysGDB7U24LS2tiYoKEh2kfzdd98B4OLigqurK0OHDsXa2horKyv++usvvLy8qFWrFpBionns2DH++ecfrKysKFeuHLlz52bv3r2Zfo7evXuHq6srzZo146effpLdU6dlypQpLFy4kP79++Pi4pKpfHM6qWsCxftM/1AoFOTPn1/IRg/JKtncvXsXBwcHHBwcMDc35/Lly2zfvv2j1k8K9BtVNgVB5lBI37B9QlRUFGZmZkRGRmq5qo2Pj8ff35/ixYtjZmYmPjTv4e/vz88//4xKpcLe3l6nC+ewsDC8vb0xMDBg+fLlWus7Podff/2VfPny4ejomKFsQkNDefjwoYbJVXh4OAULFvyoEbeEhAROnTrFzp078fDwICEhgQcPHlCgQAEaNGhAXFwclpaWXLlyRf743blzhxEjRhAfH4+7uztNmjTBw8ODGzduEBISwrZt2+RRudWrV3Pv3j1+//33T78oWcy8efPk2ZaPIdVU08TE5JOeG5VKxbhx4xg4cCB169bNMO6NGzcwNzfP0nvrWyWtXBISEggICKBUqVIf7eBDkPWkmjVVqFBBOKLRMz5XNi9fvmTGjBls2LCB0qVLs2jRIr7//nvRp/hIMuqvZTepdbvh24d8+b7sLHh0dCK17P7Uy+uib+RohSYgIABbW1vy5MkjXj468Pf3x83NjYCAACwsLGQzrvj4eJ48ecKbN28oVaoUbm5uWd7hlCQJtVqNUqnUW9mo1WoePnxIpUqVNI7HxMRo7dOij2zZsoUGDRpouZT+EF+DbHIiaeUiFBr9QpIk3r17J741esinyubdu3csXbqURYsWYWRkxMyZM2X3+oKPRyg0uhEKTebJ8S5xhIlG+pQuXZqNGzdy+fJlDh06xM2bN0lOTsbQ0JCaNWvSsWNH6tev/594VvoaXGorlUotZQaQ92zRdwYMGPBJ6b4G2eREhFz0F4VCgampaXZXQ6CDj5WNWq1m69atTJ06ldDQUH766SemTZtGgQIF/sNaCvQBCSXqL7xSQxIrQzJNjlZoUr0CGRsbC6UmHQwNDWnUqBGNGjVCkiSSkpLIlSvXf369UmWTO3duIRs9Q8hGP0krF4F+oVKpuH//PpUqVRJKp57xMbI5deoULi4u3Lx5kx49erBw4cKPdoYiEAj+G3K06qdQKD7J1WxORaFQYGRk9MU6scJURn8RstFPhFz0E6VSiZ2dnfBypodkRjYPHz6kc+fOtGzZEmNjYy5cuMDu3buFMpPDkLIpCDJHjn+7inUA+olCoRCy0VOEbPQTIRf9RaFQiBlNPSUj2YSFhTF69GiqVKmCj48PO3fu5OLFi2LTX4FADxEmZ8Lk7IMEBARw/PhxgoODiY2NxdTUFCsrK9q0aUOpUqX+kzKFWZP+ImSjnwiTM/1FpVLh4+ND1apVhcmZnqFLNvHx8fz222/Mnz8fhULBwoULGTNmjJgBzeGoUaDmy37zvnR5XzM5WqERJmcZc/HiRfbu3cuNGzdQKpUUKlSIXLlykZSUxPnz59mxYwe1atWie/fu/8mIlfh46C9CNvqJkIt+kupARJic6R9pZaNWq9m5cydTpkwhJCSEESNGMHPmTAoVKpTd1RQIBB8gRys0gBhh1oEkSWzcuJGtW7dSsGBBmjdvTpkyZTRGFlUqFX5+fty+fRtXV1f69+//wT1jPpYvLZuYmBg8PDw0Nnp89eoV+fPnJyEhgTdv3mi5p/by8sLe3h57e3t+/fVXHj16RMOGDbG0tKRWrVrcuHHjmxyRFc+NfiLkor98i++BbwUDAwPOnz+Pi4sLV69epUuXLnh7e1O+fPnsrppAIMgkOXq4KHUjOoEmGzduZPPmzdStW5eePXtSrlw5rY+xgYEB5cqVo2fPntStW5fNmzezadOmLK1HXFycxu9Bgwbh5uaWpWWkZdmyZdy8eVPjmJOTE6dOncLX15cuXbpo1WnRokXs379frq+TkxMKhYKAgAAiIiK+2U7M+9chO3Bzc2PQoEHZXQ29Qh/kItBGrVbj4+ODWq3O7qoI3uPx48fY29vTtGlTVCoVp06dYv/+/UKZEWihlhTZEgSZI0crNAqFQphovMfFixfZunUr9evXp1atWplKU6tWLerVq8eWLVu4ePFiltXl/bUAiYmJJCQkfDCdoaHhB8OQIUPk+KGhoWzcuBEPDw/mzp1Ljx49iIyM5PHjxzx48ICmTZtSp04dWrZsybBhwzQ6JaNHjyYoKAiAJ0+e4OTkRNGiRbl27Rr58+fHy8tLDj4+Pplue1xcHIcPH6Z3794YGRkRGBiYYfw3b96gUCiwtrbWCCtWrJDjSJLEwoULKVu2LFZWVlSvXl1WxtLy119/UbVqVaysrChTpgzu7u5acdLKJiAggC5dumBlZUWxYsXo1asXL168kM8/evSIjh07YmNjg42NDW3btuX27ds6yyxWrBiVKlVi69atH7xGmb0fchJi/Yx+olQqqVq1qjA50yPevHnDzz//TNWqVXn8+DFbtmzh6tWrNG/ePLurJhAIPoEcb3ImScIpXlr27t1LwYIFM63MpFK7dm38/f3Zt29flq2nkSRJw4Tm3bt3REREfDCdSqXi+fPnWFtb6zw/d+5cfH195d+GhoasXLmSkSNH4unpibGxMXnz5sXBwYE5c+bg6OjIkCFDcHd3x8HBgQkTJrBs2TIWLlzIzp07AfDz8yMoKAgTExNevXqFsbExarWaVatW4e/vT3JyMqNGjaJq1aqZavvYsWN5/vw5NWrUICkp6YPxg4KCsLS0lJWr9Nq9d+9eTp48ia2tLefPn8fBwYFjx47RqFEjIEX+U6ZM4ciRI5QvX152V9q6dWuNeyJVNhEREbRo0YJp06axf/9+4uPjGTZsGCtWrGDBggVERUXRrFkzZsyYgaenJ5IksWTJEuzt7QkICCBPnjycOHGCoUOH4uXlRcOGDXn48CFdunTBzMyMzp07p9uezN4POYn3nxmB/qBSqYRCowckJCSwevVq5syZQ3JyMjNnzmTMmDHkz59fPDuCDFFnw8aaX7q8r5kcfaUkSRIjvGkICAjgxo0bVK9e/ZPSV6tWjevXr39wNiGzvG8OGBwczKNHj7Ik77QULFiQo0ePsn//fpYsWcKsWbMICwujYcOGtGzZkmvXrtGsWTNcXFzYvn07Tk5OAEyePJkrV65Qs2ZNTE1NqVevHrt27WLdunV4enqyZMkSDh06RJcuXRg/fjzjx4/PdJ3WrVuHl5cXI0aMyFT84OBgbGxsMoxz5coVVq9eja2tLQCNGzembdu27N27F0gxi5kwYQLu7u6yuUWFChV48OCBloKbKpvly5dTtWpVhg4dKrs/3bx5MwsWLAAgf/783Lhxg1GjRqFUKjEwMGD48OGEhobKsty0aRN9+/aVFeEKFSowb948lixZ8sE2/xf3w9eMMKHVT9RqNffv3xcmZ9mIJEns2bOHSpUqMXHiRHr16oWvry+TJ08mICBAyEYg+MrJ0QqN2BtAk+PHj6NUKj95s7DUzcm8vb0/uy4KhYI8efLIslGr1fj7+/PgwYP/RAnNkycPb968YcWKFQwYMICEhASWLl3K8uXLcXJywsTEhLx58zJkyBDKlSsHgLe3Nw0aNKBNmzZUqVKFrl27MnbsWGbNmkVQUBDBwcFAyuxNappUrK2tWbZsWZbVPygoSFZU0uPgwYPyTAykjBg/ePCA/PnzA+Dj48PTp09xcHDQSPf+OqC0svH09KR9+/YZxi9evLj8d1hYGFOmTKFYsWKy0hQVFaU1cm1iYsKFCxdQqVTptufRo0dERETI1zmn8/4zI9AfDAwMqFGjxje7pk7fuXz5Mk2aNKFnz55UqFABHx8f1qxZQ5EiRYRsBIJvhByt0EBKR1mYnaUQHBxMoUKFPvnFbmBggIWFRZZ0MCVJ0pDNrVu3qFixIo0aNeLw4cOfnX9a1qxZI3sv8/Lyok6dOsyePZtffvkFPz8/wsPDWbp0KWXLlkWlUnHs2DEAkpKSWLduHfb29oSHh9OsWTOOHTtGXFwcjo6OsmJ369YtypYtq1FmUFAQzs7OWdaG4OBgVCoV/fv3p2zZslSvXh13d3eSk5N1xo+JiaFXr15ERETIs0BPnjyhcOHC3L59m6ZNm1KiRAmaN2/O6dOnNdKmlc2TJ08wNzdn2LBhlCpViqpVqzJ37lytci9duoSlpSWWlpaEhIRw4sQJ8uTJA0CvXr3Ytm0bZ86cQZIkHjx4wPz581Gr1YSFhemsf3h4OBEREQwePJhdu3Z95tX7Nnj/mRHoD6l7BAnZfFkCAgLo3bs33333HdHR0Rw/fpzDhw9TqVIlOY6QjSCzpO5D86WDIHPkaIVGmJxpEhsbS65cuT4rDyMjI2JjY7OkPmnNZ7Zu3Ur79u0ZOHCg3NnNKoYPH05YWBjLly8nMjKSWbNm0a5dO9zd3dm5cye5c+cmJCSEIUOGcODAAXkGo0OHDtSqVYsTJ07w3XffYWFhAaSsf3FzcyMwMJArV66gVqspUaJEltVXF6md/0mTJvH48WN27drFli1bmD59ulbcO3fuULt2bUJCQvj3338pWrQokDJjExMTw2+//cbu3bvx8/Nj+PDhtG3blhs3bmjkkSoblUrF3Llz6devH/7+/uzZs4edO3cyadIkjfjfffcdoaGh+Pn5kSdPHnbv3i2f69evHytXrsTZ2ZkSJUowadIkXF1dgZT1TbrYvn07Dg4ODBo0iOXLl/Pu3btPv3jfEMLkTD9Rq9X4+voKs6YvREREBL/88gsVKlTg7NmzbNy4kRs3btC6dWutuEI2AsG3QY5WaITJmSampqaZWoCeEYmJiZiamn52XdKazwQGBrJz506GDx9Ox44dMTU1ZfHixZ9dRipKpZIffviBxMREABo0aEDHjh2JiooiODiYmjVrcuDAAU6ePMmrV6/kdNOmTaNKlSr069ePs2fPYmdnR968eenduzc2NjYMHTqUrl270rNnzyyra3rMnj2bixcvUqVKFRQKBRUqVGD69OlarrSPHj1K8+bNGTJkCOfPn9dQtGxtbYmPj5dNMQwNDenTpw8tW7Zkx44dcry0srG1tWX48OE0a9YMhUJB+fLlmT59Olu2bNFZz9KlS7NhwwbmzZvH5cuX5eMDBgzg+vXrPHv2DE9PT3LlyoWZmZmsJKYlKiqKxYsX4+zsTNWqVWnevDkuLi6fewm/eoTJmf5iYGCgsRO94L8hKSmJVatWYWdnx+rVq3F1deXJkycMHjw43WsvZCPILMJts36ToxUaSBlhFlPNKVhZWREeHp7huoWMUKlUvH79Gisrq8+uiyRJqFQq3r17R58+fRg/fjyFChVCoVCwYcMG3N3d2bZt22eXk1rWmTNnMDIyAlKcG5w7d4527dpx5MgR9u7dy19//UWlSpVwcHCQPaTNnTuXFStW0KpVK+7fv8/06dMZOnQo586dA8De3p4XL17QpEmTLKnnh3h/hFGlUml0bq9fv07//v05cOAAv/zyi9a6lapVq2JmZiYrdmkxNjaW/06VjSRJNGnSROcsZ2r8qKgoLZO1PHnykDt3bg3Xzu/PsHh7e9O2bVutzrlarcbR0ZFOnTpRoUIFAH799VeOHj3K/PnzteqRk0grF4F+IUkSsbGxQjb/EZIk4enpSdWqVRk7dixdunThyZMnzJw584MDbEI2AsG3QY5WaCRJ+uwZiW+JNm3aoFar8fPz+6T0qdP29vb2WVKf4OBgOnbsiLW1NRMnTpSP29nZsXv3bpycnHB1ddXZAbezs8PExERnmDVrlkbcx48fayhhtWrV4s6dO/j7+8sL7WvVqsW5c+fo2bOnRsfZx8eHgIAAJk2axOLFi+X1KKkd73r16jF69GieP3+eJdckle3bt1OyZEn595gxY+jfvz9v374FUtbDzJ49m2HDhsn1GTRoEEuXLk1XwcqbNy/Ozs4MGDCA8PBwJEnir7/+4uzZs/Tp0weAefPm0aJFC/maT548md9++40zZ84A8PTpU2bPno2joyMAV69epXPnzvz9999AipI1e/ZsDAwMZAcFa9eupUmTJrx8+RKAU6dOsXXrVi05xcbG0qdPH169eqXhUMHCwoJDhw6xbNkyHB0diYmJ+fQL+5Wj61kQZD9qtZrAwEBh1vQfcP36dVq2bEmXLl2wsbHh5s2bbNiwQcMZSUYI2Qgyi4QiW4Igc+RohSZ1Y01hopFCqVKlqFWrltamh5kldW1G2o72p+Lh4UH9+vUpXLgw27Zt05pNaNmyJd7e3mzYsIHGjRtrfYx8fX2Jj4/XGWbNmqVhXvDw4UMaNGgg/x47diwNGzakXLlyGBgYyEpvap3u3bsnxx03bhzbtm1j48aNvH79mgULFvD8+XN69epFQkICZ8+eZfTo0dSvX5+TJ0/K6T7Xy9nt27dp0aKF/Hvu3LlYWFhQs2ZNihUrRuvWrfnxxx+ZOXMmAM+fP+fu3bu4urpqbb6Ztu2urq40atSIWrVqUaxYMZYtW8aRI0fkRbSp5aaaatrZ2fHnn3/yyy+/YGlpScuWLenduzczZswAoFWrVhw4cIDffvsNKysrbG1tOXfuHN7e3hQuXBiAgQMH0rp1a+rWrYu1tTXTp0/n0KFD8gwMpHhoq1GjBq9eveLgwYNaG0hWqVKF8+fPc/bsWapUqUJ0dPQnX9uvFWFCq78YGBhQuXJlYdaUhTx//pwBAwZQp04dQkNDOXz4MN7e3h+97YCQjUDwbaCQvuF51qioKMzMzIiMjJRd06YSHx9PQEAAtra2wu48DRcvXsTV1ZW6det+1Oaa169f59q1a8yfPz9LNtb89ddfKVCgAAMGDMhQNqGhoTx8+JCmTZvKx8LDwylYsOBHbWKXkJDAqVOn2LlzJx4eHiQkJPDgwQMKFChAgwYNiIuLw9LSkitXrsgbsN25c4cRI0YQHx+Pu7s7TZo0wcPDgxs3bhASEsK2bdswMzMDYPXq1dy7d4/ff//90y9KGsqVK8fGjRtp3LhxluSXGeLi4rC2tubatWvY2tqiVCq/2HOza9cugoKC+PnnnzOUa0xMjLxhaE4j1cuZUqkkISGBgIAASpUqhYmJSXZXLccjSRLR0dHky5dPfGs+k+joaBYuXMiyZcvInz8/s2fPZsiQIek6EPkQQjb6QUb9tewmtW5nHg8hbz6jL1p2THQizcpt0Mvrom/kaIXG39+f4sWLY2ZmJl5kadiwYQObN2+mfv36mVJqrl+/zpUrVxg0aJBsavS5SJJEfHy8Xs+gqdVqHj58qOECFFI61aampv9ZvWNjY1m5ciWTJ0/+T/JPjxcvXrB//35ZidNn2eRE0j4zQqHRL1QqFU+ePKFs2bJiJuATSU5OZsOGDcyYMYOoqCicnZ2ZNGnSZ3fyhGz0g69BoTn1eGi2KDQtyq3Xy+uib3zakMY3gjA5042joyMKhYItW7bg5+dH9erVKVOmjMbLXqVS4evry507d3jz5g2DBg1i8ODBWVaHVPMZfUapVGopM5CyFuW/xNTU9IsrMwDFihVj5MiRAHovm5zI1/DM5FQMDAw0TCgFmUeSJLy8vJg4cSL37t2jf//+zJs3DxsbmyzJX8hGIPg2yNEKDaSM+kiSJJSaNCgUChwdHalQoQL79u3j9OnTnD17FgsLC4yMjEhMTOT169eo1Wpq167NhAkTssTMLC2pHpsMDAyEbPQMIRv9JK1cBPqFJElERkYKa4CP5M6dO0yYMIHjx4/TrFkzrl27Ru3atbO0DCEbQWbJjo0uxcaamSdHKzSpHQCBbho2bEjDhg0JDAzE29ub4OBgYmNjMTU1xcrKCnt7+yxxAJAeycnJonOmpwjZ6CdCLvpJ6sa3+fLlE/LJBCEhIcyYMYONGzdStmxZ9u/fT+fOnf8ThUPIRiD4NsjRCo1CocDY2FiMymRAcnIyb9++xdzcnKioKIyNjTEyMsLc3Jy3b99ibW39yYsxMyLVHFCgfwjZ6CdCLvqLgYEBZcuWze5q6D2xsbEsWbIEd3d3cufOzYoVK3ByciJXrlz/WZlCNgLBt0GOVmgkSRImZ+kQHx/Pvn378PT0JCQkBKVSibm5OYaGhiQnJxMREYFaraZ48eJ07tyZbt26ZWlnSpg16S9CNvqJMDnTX9RqNW/fvqVAgQIf5X0xp6BSqdiyZQvTpk0jPDyccePG4erqirm5+X9etpCNILNIKFF/4d1OpJy9u8pHkaMVGkCYnOng7t27LFmyBH9/f+zs7OjWrRuWlpYanVdJkggNDeXOnTusWbMGb29vJk6cSOXKlbOsHsJ8Rn8RstFPhFz0E0mSiIiI+CId9K+NEydOMGHCBG7fvk3v3r1ZsGDBf2rK/D5CNgLBt0GOVv2EyZk2Fy5cwMXFhYiICHr37k2bNm0oUqSI1jVSKBQUKVKENm3a0Lt3byIiInB2dubChQtZUg/hgU5/EbLRT4Rc9BcDAwMtT5E5nfv379OxY0fatGmDqakply5dYseOHV9UmQEhG0HmUUuglhRfOGR3q78ecrRCI0kSSUlJfMNb8XwUd+/eZfbs2RQuXJiePXtSoECBTKUrUKAAPXv2pHDhwsyePZt79+59dl2yQzYxMTGsWrVK49irV6+Ii4sjIiICf39/rTReXl6o1Wpat27N3bt32bt3Ly9evEClUlG9evVvcgZQPDf6iZCL/qJWqwkNDUWtVmd3VfSCM2fOUK1aNR48eMDu3bs5f/489evXz5a6CNkIBN8GOVqhAcTH//+Ij49nyZIl5M6dm3bt2n20LbFSqaRdu3bkzp2bJUuWEB8f/9l1ev8DM2jQINzc3D473/RYtmwZN2/e1Djm5OTEqVOn8PX1pUuXLsTFxWmcX7RoEfv37wcgLi4OJycnFAoFAQEBREREfLOjfvrw8Xdzc2PQoEHZXQ29Qh/kItDNu3fvsrsKekPFihXZunUr9+/fp0ePHtk+qyhkI8gMqW6bv3QQZI4crdAoFAqMjIyy/WWqD+zbtw9/f3/s7e0/eWGkUqnE3t4ePz8//v7778+qjy5zwMTERBISEj6Y1tDQ8INhyJAhcvzQ0FA2btyIh4cHc+fOpUePHkRGRvL48WMePHhA06ZNqVOnDi1btmTYsGEancbRo0cTFBQEwJMnT3BycqJo0aJcu3aN/Pnz4+XlJQcfH59Mtz8xMZFffvmFkiVLYmVlRYMGDTh37lyGaTw9PalduzZWVlaULVuWefPmacwQvXr1imHDhmFra4u1tTW1a9dm165dGnlcunSJFi1aYG1tja2tLT169CAwMFAjzvuy2bBhA5UrV8bKyoqKFSuydu1ajfi+vr788MMP2NraYmNjQ5MmTThx4oRGnL/++ouqVatSrFgxKlWqxNatWzN1jTJzP+QUhAmt/qJUKilZsqRYdP5/WFpa8uOPP2JsbJzdVRGyEQi+EXK0U4BUE42c3glITk7G09MTOzu7TJuZpUeBAgWws7PD09OTnj17frJL51QPdIaGhrJs3r17R0RExAfTqlQqnj9/jrW1tc7zc+fOxdfXV/5taGjIypUrGTlyJJ6enhgbG5M3b14cHByYM2cOjo6ODBkyBHd3dxwcHJgwYQLLli1j4cKF7Ny5EwA/Pz+CgoIwMTHh1atXGBsbo1arWbVqFf7+/iQnJzNq1CiqVq2aqfaPHDmS58+fc/36dSwsLNi7dy/t2rXj9u3blClTRiv+qVOnGDRoEJ6enjRu3JigoCDatm2LUqlkypQpALRv357KlSvz4MEDTE1NOXPmDJ06dSJ37tx07tyZwMBAHBwc2LhxI926dSMxMREXFxc6duzI3bt3dcpm27ZtuLm54eXlJefdokUL8uXLx48//khcXBzNmzenX79+bN++nVy5cvHXX3/RqVMnzp8/T+3atTlx4gRDhw7Fy8uLhg0b8vDhQ7p06YKZmRmdO3dO9xpl9n7IKaSVi0C/SDVrsrS0FB1nPUPIRiD4NsjxT68wOQMfHx9CQkKoVq1aluRXrVo1goODP2pGQhfvm88EBwfz6NGjz8pTFwULFuTo0aPs37+fJUuWMGvWLMLCwmjYsCEtW7bk2rVrNGvWDBcXF7Zv346TkxMAkydP5sqVK9SsWRNTU1Pq1avHrl27WLduHZ6enixZsoRDhw7RpUsXxo8fz/jx4zNVn8TERO7evcv69euxsLAAoHv37pQvX57Dhw/rTHP58mWmTJlC48aNAbC2tmbEiBHs3r0bSJmduXHjBhMmTMDU1BSAZs2a0apVK3m2pGTJkty/f59u3boBYGRkhKOjI/fu3ePt27ca5aXK5tKlS7i7u8ve7SpWrEjfvn3lcu/cuUNwcDCurq7yXhI//PADFSpU4MyZMwBs2rSJvn370rBhQwAqVKjAvHnzWLJkSYbX6b+6H75mhMmZ/pKYmKjxu3fv3oSFhWkc++2331i2bFmm8pswYUKWmeC6uroSHh6eJXllBYcOHaJ58+ZfrLz3ZSMQ6EKSFNkSBJkjRw/lCZOzFJ48eYJSqcTS0jJL8ksd6Xry5Ak1a9b8pDxSzWdSUavV+Pv7Y2RkREJCQpabKuTJk4c3b96wYsUKBgwYwI4dO1i6dClTp07FyckJExMT8ubNy5AhQzhy5AgA3t7eTJkyBRcXF54/f07Xrl0ZO3YsDRo0ICgoiODgYCBl9qZVq1Ya5VlbW+Ps7Iyzs7NWXYyMjLh8+bLGsejoaAIDA8mfP7/O+k+ePFnrmI+Pjxy/cOHClChRgr///ltWXF++fMmVK1fo27evnKZ48eLy38+fP2fWrFlUq1ZNY+YurWxWr16ts9zUfMqVK0f+/PnZt2+fvN7l4cOH+Pr6yspXVFSUlstUExMTLly4kOG+Ko8ePSIiIoLg4GCsrKx0xslJvP/MCPQHpVKJra2t/PvatWv4+PjIAxapBAcHf/I780OEhITw448/curUKXkmIjo6mnnz5lG7dm06duzIqVOnyJ07N5CiMP311186vwsxMTFYW1trmY6mJTQ0lNmzZ2s5Wnmf/fv3c+vWLY1jjx8/JjAwUKfCNmbMGAoVKvSB1mae92UjEAi+TnK0QiNJEomJiTne5OzZs2eYm5tn2TVQKBSYm5vz7NmzT84j1RwwV65cKBQKbt26RcWKFSlatCiHDx+WZxGygjVr1jBt2jQKFy6Ml5cXderUYfbs2VhYWPDs2TNsbGxYunQpZcuW5caNGxw7dgwHBweSkpJYt24dtra2uLu706xZM7p168akSZNwdHTE29uboUOHcuvWLa2dqFPX3WSG0NBQevToQdGiRenVq9cH40uSxKJFi/Dw8JCVL6VSybFjxxg5ciQNGjSgcuXK3L17l19//ZUePXpopN+zZw/Dhw8nKiqKH3/8UWtW6H3ZpJKUlISzszP//vsv//77L5Bignjs2DHGjBnDjh07sLS05NmzZ+zfv5969eoB0KtXL0aPHs0PP/xA06ZNefjwIfPnz0etVhMWFkbRokW12hgeHk5ERASDBw9m165dOhXDnEZauQj0C7VazYsXLyhWrBhPnz5l0aJFLFiwgP3791OxYkXu3LnD8uXLefjwISVKlMDd3R0rKysOHToEwLZt2xg1apRO5WLbtm0av93c3OjXr59WPB8fHyIiIjTMqoyNjUlKSsLb25uff/5Zyytj7dq1adasmVZeAQEBH/RmeffuXU6fPp1hHIBixYppOZGpUKFCuuamaZX2ly9fUqBAgc9S5NPKRpicCTJChRLVFzZs+tLlfc3kaIVGkEJiYmKW290bGhpm6TT+1q1bad++PVWrVmXWrFl07do1yz4+w4cPx8nJiWPHjrFz506WL1/OyZMn5Y7+jBkzCAkJwcXFhT59+sgjmB06dABg586dfPfdd/Jo69ixY1Gr1XTv3p0rV66gVqspUaLEJ9Xt1KlT9O3blzp16vD333/LZafHmzdv6N+/P7dv3+bYsWO0aNFCPvf8+XOio6Np1qwZ5cuX59atW+zfvx97e3vMzMzkeD169KB79+7cvXuXX375haNHjzJs2LAMy3327Bk//PADUVFRnD9/nipVqsjnAgICUKvVNGjQgEKFCnHjxg08PT1p0qQJRkZG9OvXD7VajbOzM2FhYdSoUQNXV1c6deqU7n25fft2HBwcGDRoEO3bt2fEiBHkyZMnM5dUIMg2kpKS6NatG0WKFKFWrVp89913eHl5YWZmhpubGz/99BNTp04lNjaWNWvW4OXlRZMmTQDo1q0bHh4eBAcHM2bMGNnxyr///svOnTv57bffMiz74sWLNGrUSP4dEBBAy5YtOXPmDLt37+aHH37QGtSysrKiRo0aWnkZGBjoVGjCwsJ4+fIlVlZWPH78mEqVKhEbG0toaCjJyclaAzsA9evXp379+hw4cIA5c+borLu5ubnO2aCGDRuyevVq2rVrp3XOy8uLRo0akS9fPp15CgSCb4scrdAIk7MUjIyMSE5OztI8k5OTMTIy+uT0qbIBCAwMZOfOnbKJxpIlS1i8eDGTJk3KkroqlUp69uxJ//79AWjQoAG3bt0iKiqK6OhoatasycSJE2nfvj1lypSRN36bNm0a+/fv5+HDh5QrVw47OztevnxJzZo1OXfuHEOHDqVr164MHDjwk+q1ceNGJk6cyNKlSzPlnjggIIBWrVrRuHFj7t27p6Gk+Pv706lTJy5cuECtWrUAGDJkiLy+Z9OmTRp5KRQKqlatym+//UalSpVo3769bNaVVjYA169fp3379vTv35958+ZpjJaeP38eJycn7t69K5t1DB06lEaNGrFgwQJmzpwJwIABAxgwYICc7tixY5iZmWmZ5ECKidrixYs5ceIEFSpUoHnz5ri4uPC///3vg9foW+Z9uQj0B6VSKT8/np6etGzZku+//57p06dTuHBhLl26BMCkSZOIiooCYNiwYQQFBcnv5r///ptLly6RlJREcHAwFSpUAP6/c4xjx44BMH78eEaMGAGkKP7nzp3D39+fq1evkpCQwN69e7G3t2f9+vX88MMP9OzZkzNnzmh9By0tLdm+fbtct7So1Wqdis7169eZOXMmwcHBvHr1CkmSOHr0KAULFqRbt24sX7483WsUFhbGd999p2WiFhMTk+5mm7ly5Up33dimTZvYs2cP69evT7dM0JSNQCD4esnRCo0wOUvB1taWiIgIJEnKkusgSRIRERGfZZecKhuVSkWfPn0YP368bDe9YcMG6tevj5WVlU7Tik8p68yZM7Ir52rVqnHu3Dl5n5MzZ87w119/UaxYMVq0aMGhQ4ews7Nj7ty5tGzZkkWLFnHs2DE2b97MzZs3+fXXXwGwt7fHyclJHmH9GA4ePMj06dM5d+4clSpV+mD8yMhI2rRpw08//cTPP/+sdf7atWuYmJjIygykfMjbtGnDmjVrgBTzjWfPnsmmYACFChVCpVIRFhYmf/RTZWNkZMTz589p3749q1atomfPnlrlXrx4kdKlS2vcCyYmJjRr1kxjndC7d+80Zli8vb1p27at1v2oVqtxdHSkU6dOcofu119/pXbt2syfPx9XV9cPXqtvlbRyEegXarWaoKAgrK2tsbGxoV+/fjx//pzk5GR27NjBjz/+SPny5TVmNh8+fMiFCxfkgYlu3bqxadMmAgMD6dq1q7zu5MSJE6xZs4Y9e/boLLtatWp06NCBH374gRcvXmBiYkLTpk3ZsWMH8+fPp2nTpixYsIBZs2YBKY487ty5Q/HixZk4cWKG7dq2bRvW1tbyAn4HBwccHBzk+nbt2lVjoOJD/PXXX1oKVEaOLvLmzUtMTIzOc+vXr6dChQp4enpm6C0xrWyEyZkgI9T/F750mYLMkeOf3pysyKRStmxZ2XVlVpC667Iu84KP4fXr13Ts2BFra2uND6udnR27d+/GyckJV1dXnaZtdnZ2mJiY6AypH+5UHj9+rDFCV6tWLe7cuYO/v7/cEa9Vqxbnzp2jZ8+ezJ8/X47r4+NDQEAAkyZNYvHixfLIaGrHu169eowePZrnz59nut0xMTEMHTqUP//8M11lZvv27RqjllOmTKFJkyY6lRlIMetISEjA3d2dpKQkIMXGfdWqVXIHxMvLi06dOsn73SQkJDB58mRKly4t12PevHm0aNFC/vCPGDGCUaNG6VRmIMWT2v3799m6davcMTl//jzbtm2Ty127di1NmjTh5cuXQIqZ3datW7XkFBsbS58+fXj16pWGJygLCwsOHTrEsmXLcHR0TLeDkxMQHTL9xcjICF9fX3766ScWLVpEREQEnp6erF69muTkZAoVKsSECRPkYGtrK3vhVKvVGrINCAigY8eOdOzYkWnTpqVbZt++fRk1ahTh4eG0aNECc3NzTExMaNWqFXfu3MHAwECe8X769CmQssnygwcPWLhwIREREURERDBq1CjevHkj/04bYmNj5fIiIiI4e/YsT58+xdfXl1KlShEREcG9e/c+6GJ9wIABPH78mBMnTmiEf/75B39/f51pLCwsePPmjc5z+fLlY+HChbi4uHzQ+58YBBAIvn70YoYmKCiIatWq0blzZzw8PICUdR3Tpk3jr7/+IikpSV54/Smj3emhUCi0FjbnRKpWrUrx4sW5c+cObdq0+ez87ty5g5WVVab3XNGFh4cHrq6uNG3alK1bt2p11Fq2bIm3tzfdunXjxIkTXLp0SSOOr69vuvvQzJ8/Hz8/P/n3w4cPadCggfx77Nix3L59m3LlymFgYCArAB4eHowaNUrDznvcuHE0aNCADh06YGhoyIIFC5g7dy7Ozs4kJCRw9uxZVq5cSf369dm6davs7SwjL2fXr18nLCxMw/tYKg0aNGD37t3cvn1bY33M0aNHiY6O1tnmS5cuUaJECU6dOsXcuXNZsWIFKpWKAgUK4OjoiIuLCwCDBg0iX758uLi4EBwcjEKhoG7dunh5eckf/NRyUxeeHz16lOvXr7Nu3TqtcoOCgqhfvz6enp64u7szZcoUkpOTKV68OHPmzJHdXw8cOBA/Pz/q1q2LJEmULFmSQ4cOyTMwkDJj5ezsjLW1NQcPHtRaS1SlShXOnz9Px44dqVKlCj4+PjnOdj71fSbQP5RKJUWLFsXc3JzWrVvTo0cPBgwYwK1bt9i2bRuSJOHm5kZMTAzHjx8nISEBZ2dn2VtgWmcP1tbW3L59WyP/VFfs6bF582ZGjRqlcSy1k9+gQQP69etHSEgIJUqUoF69euTJk4fNmzfLsyVJSUk8f/6co0ePauRRv359xowZI/9+8eIFs2bN4tmzZ/j6+tKtWzfy5MlDsWLF+OOPPzh37hzGxsbY29vLaQIDAylfvjwVK1bMsA2RkZHUr19f3vsLwMbGJkPnM3369GHGjBkcPHiQLl266IyTKhuB4ENIKJG+8DzAly7vaybbFRpJkhg4cKBWR+xjNxb81LKFyVnKAv7OnTuzZs0a6tSp81mba759+xZfX19Gjhz5WY4GIiMjmTdvHoMHD05XNo0aNcLHx4eHDx9qKDNhYWEULFgw3bzfN0vq0qULDg4OnDp1Ckhx4VyrVi1+++03ChQowLlz5yhQoACWlpY0adJE/sjfuXOHESNGEB8fz44dO2jSpAkeHh7MnTuX+Ph4jhw5grGxMRMmTCB37tzs3btXVmgy8nLWrFmzD44o7t+/n40bN8q/AwICMowPKZ2PgwcPZhine/fudO/eXee5uLg4Tp48yaJFi0hISMDIyChT+zilNUPRhbGxMYsWLWLRokXpxnn37h0jRozg559/TncWokKFCty6dYvz58/nOGUGhMmZPqNWq3n27Bm2trZ4e3vTuXNnFAoF48ePZ+TIkUyaNEneUyksLAyVSoWvry/Xr19n+fLlREREkD9/foYNG8aBAwdQqVQUK1ZMzj84OJg6depw/PhxrbLv3r3L48eP+f777+Vjr1+/1jADXbt2rVa6ihUryntBeXt7M2/ePGJiYmjWrBm9e/fml19+0brXKlasyMmTJ4mKiqJ48eJa++wEBwfj7OyssVEvpCgmt27dwsvLS+eaHVdXVzw9PbXM6qpUqaLR5jNnzlCvXj15wMPAwIDBgwfz22+/pavQpJWNmOEUCL5esl2hWbp0Kbly5aJbt24EBgYC/39jwd27d2tsLDh//nwOHz7M2LFjs6z8nKzIpKVbt254e3vj7e1Nz549P+nFrlKp8Pb2pkyZMhofz09h3LhxmXJUYGlpqeXK9FP2KDA2NtboeBsbG8uLXkNCQnSmqVKlCuvXr9cwC3NyciImJgZTU1ONe2v06NEfXaf0iI2NxdHRUd7H5UsRERHB3LlzKVmyZJY7kfgQmXFXDSk29RkpT986okOmv6SuEXvw4AGDBw8GoFWrVnh7e7N9+3aqVKnCpUuX8PDwICYmRmNvKT8/P8qWLYu7uztubm44ODiwbt06vvvuO27fvk3Hjh1ZsWKFznLnz5/P8OHDNWbvbt++Tdu2bTOs7/Xr12VPj6nunqdOnUrr1q0xNzdn27Zt3LlzR2faiIgIrb2lANlhSWxsrM5ZJS8vL6ysrOjUqZN8rFWrVkyYMEFnOfb29kybNo2YmBjy5s3L6NGjmTlzpoYJ7JAhQ9I1iU1FeEgUCL5+slWhuX37NgsXLuTKlSts2bJFPv4pGwtCis1/QkKC/DvVW0zqaHfq/0qlUv479SWfuiA+dcT5c/7WRVbl/V/9nTqT4OLiwpEjR2jXrh0GBgaZbpNarebo0aPExcXJnq4+95rmypULSZKyVDZZKSeFQkGlSpW0jqcqM/+VzPLkycPkyZO/+L1XrFgxeY3Qfy2br/15yo42Qcpsa+rxtM8maL733v9bpVKhUCjkv5VKJQqF4qP+Ti0r7d+p75CP+VutViNJkvz3h+r+NbQJkAfnfHx8ZDfu9evX5+7du9SpUwc/Pz+aNm3K69evUalU8mzExo0buXjxIj169JBnZjw9Penbty9Vq1bl1KlT7Nu3TzbRTNuOq1evcvToUVasWMGOHTuoVq0aMTEx+Pj40Lx58wzr3qBBAzw9PXnx4oW82aeVlRVTpkyhffv2rFy5Up7Nf18GFhYWhIWFER0djampqXz8xYsXGBsby7JNlU0qkiTxv//9j127dsnHwsPDUalU8v2ctn0VKlSgSZMmTJw4kfLly/Pu3Ts6d+4sb8grSRJFixbFysoq3bYqFAosLCzkOn5r997X0qb390DSR9SSArX0ZQfBv3R5XzPZNpwXHx9P3759WbhwIaVLl84wbmhoKB06dPjgxoILFizAzMxMDjY2NgDyju0vXrzgxYsXQIpHJ7VaTUJCAomJifKIc0JCgvxgpf07Pj5efrjT/h0XFye/aN//G1Je0Lr+VqvV8mZiaf9WqVSyUpb27+TkZHnxe9q/k5KS5DUeadvxKW2qWLEiM2bM4NWrV+zZs4e3b99qmD6l9/ebN2/Ys2cP4eHhTJo0icqVK2dJm+Lj4z+7Td+inPShTfHx8d9cm74FOb179w5JkkhOTpbrlfa9FxQUJDv/ePbsGeHh4UDKOoa3b98CKS6+IyMjAXjy5AnR0dFAylqzd+/eAXD//n25Pj4+PiQlJaFWq/Hx8UGtVpOUlISPj498Le7fvw+kmA4+fPgQSBmkevLkCZBiYpq68Pvt27fybH14eLi8RiI0NFQ21fza2vT69WuuXbtGaGgo3333nbyQ3czMjDFjxnDt2jV8fX05ePAgEydOpF+/fhw6dIhr167x9OlTnj9/TpMmTQgMDOTZs2ecP3+e2NhYeS3gzJkzWbt2LXfu3MHHx0du059//snYsWMpVKgQ9+7do1GjRjRu3BgnJyfMzc11tumff/6hW7dunDt3jrp16+Ls7Czn5+XlxZw5cxg1ahTz58/HxcWFV69eacnp9evXtGnThr59+3LlyhXi4+M5fvw4gwcPxtHRkZcvX8pyCgoKkp+VyMhIJk2axLVr19i2bRv//PMPUVFRBAUFERMTg0Kh0JLTunXruHv3LosWLWLbtm0oFIqPktObN2+4evUqKpXqm7z3vpY2pbZDIPhUFFJGQ4b/IWPHjuXp06ccOHAASNndODAwUHYKkErajQU3bdqkc1+KVHTN0NjY2PD27VvMzc01RhvevXtHYGAgNjY25M2bF9Dv0dcv+ffdu3dZsmQJ/v7+lClThurVq1O4cGF5FBhSOl5hYWHcvn0bPz8/ypQpg4uLC5UrV86yuqSOsv1Xbf3a5ZSdbfqvZSPk9Gl/JycnY2hoSFxcHIGBgZQuXVpe5yBGlLOvTcnJybx9+1b+fsXHx1OpUiW505m27r///jvR0dFMmjQJpVLJ3r17efDgAfb29jg6OsqzEIMHD6ZatWokJyfz999/c+TIEU6dOsWkSZMYOXKkzjYpFAri4+MxNjZOt02JiYm8ffsWS0tLDA0NkSSJYsWKMXjwYI4dO8avv/5K06ZNefbsGW5ublSrVk02A0/bjjdv3uDq6oq3tzevX7+mRIkSDBw4UGMdnFKpxM/Pj7Zt2+Lr66tTBtu2bWPMmDGoVCrmzp3LTz/9lKVyUqlUvHnzRpbNt3bvfS3PU0REBAULFiQyMjJDS5zsICoqCjMzM/Y+GIdpPuMPJ8hCYqMT6F7xN728LvpGtig03t7e9O/fHx8fH3n9gy6F5mM3Fnyf1JtQ142gUql4/PgxlpaWGSpJOZX4+Hj27duHp6cnISEhKJVKzM3NMTQ0JDk5mYiICNRqNVZWVnTu3Jnvv/8eExOT7K62QCAgZUYgNDRU9tQn+LpJ7Vg+e/Ys3U0m/2vevXtH7ty5NQa2vhRpO+iCb5OM+mvZjVBovg6yZQ3NkSNHCA0NpUiRIlrnNm/ezPHjx4mLi/uojQU/FgMDA/Lnz09ISAiSJGkt4hakOAro3Lkzd+/exdfXl+fPn8vuQ21sbLCzs6NKlSqyN7PU6eWsQJL+v8cmIRf9QshGP5EkiYSEBJKTkwkLC8Pc3Fx0APUElUqFv78/pUuX/iSZpI5oZ5cyA9m7cF6hUPxn9/LnykaQc5CyYQ2NJNbQZJpsMzl7n7QzNDExMZQpU4a//vqLZs2afXKeH9L41Wo1T58+zdKOuCDrSDs1LdAvhGz0k1S5mJubU7RoUaFw6gmSJBEZGYmZmZmQiZ4hZKMffA0zNHvujyfPF56heRedQI9Kv+rlddE3st1tsy4ys7FgVqBUKilVqhQqlUpeCCwQCARfM7ly5RIjzXqGQqHQ6cZYkP0I2QgE3wZ6o9C4ubnJf2dmY8GsQKVS8eTJE8qWLSvWf+gZaWUjOmf6hZCNfpJWLgL9Qjwz+ouQjSCzqFGi/sLOgb90eV8zOfpKKZVKihcvLkxn9BAhG/1FyEY/EXLRX4Rs9BchG4Hg20BvZmiyA4VCIWwS9RQhG/1FyEY/EXLRX4Rs9BchG0FmkaSU8KXLFGSOHD0koVKpuHfv3lexQ21OQ8hGfxGy0U+EXPQXIRv9RchGIPg2yNEKjVKppGTJkmKqWQ8RstFfhGz0EyEX/UXIRn8RshEIvg1yvMmZqalpdldDoAMhG/1FyEY/EXLRX4Rs9BchG0FmEU4B9JscfaVUKhU+Pj5iqlkPEbLRX4Rs9BMhF/1FyEZ/EbIRCL4NcvQMjVKpxM7OTkw16yFCNvqLkI1+IuSivwjZ6C9CNoLMokaBmi+7+eqXLu9rJkcrNAqFgty5c2d3NQQ6ELLRX4Rs9BMhF/1FyEZ/EbIRCL4NcvSQhEql4tatW2KqWQ8RstFfhGz0EyEX/UXIRn8RshFkltQZmi8dBJkjRys0SqWSSpUqialmPUTIRn8RstFPhFz0FyEb/UXIRiD4NsjxT7CBwf9j787Doir7P45/5oyAgAIiIAIi7oqRZu5mmktobmlu2aJmVqZpaiVZ7nuLZotPVqZmWaalqbmkkZY+uaSpCEEqEgooi7Io+5zz+4OH+UmADorMlzmf13XNFcLMmXt4M8Q995lzjNYeApWCbeRiG5nYRS62kYttiCo/XU9oVFVFWFgYVFW19lDoX9hGLraRiV3kYhu52IYspWkGq1zIMrqe0CiKgqCgIC41C8Q2crGNTOwiF9vIxTZEtkHXRzkDCt4QyF9kMrGNXGwjE7vIxTZysQ1Zgodtlk3Xz2BVVREREcGlZoHYRi62kYld5GIbudiGyDboeoXGaDSiZcuW1h4GlYBt5GIbmdhFLraRi22IbIOuV2g0TUNWVhY0TbP2UOhf2EYutpGJXeRiG7nYhiylaoCqGSr4Yu1HXXnoekKjqirOnj3LpWaB2EYutpGJXeRiG7nYhsg26H6Xs6CgIGsPg0rANnKxjUzsIhfbyMU2ZCkVCtQKXgeo6PurzHT9ndI0DdevX+dSs0BsIxfbyMQucrGNXGxDtuT8+fMYMGAAfH19Ubt2bQwbNgwJCQnmr+fk5CAkJAQNGzaEj48PBgwYgPj4+CLbiIuLw7BhwxAQEABfX19MmTIFubm5Ra5z6NAhdO7cGf7+/mjUqBE+/fTTCnl8N6PrCY2qqoiJieFSs0BsIxfbyMQucrGNXGxDltJgsMrFUqmpqXjooYfQr18/XLx4EdHR0bCzs8P7779vvs748eNx+PBhHDt2DLGxsWjUqBF69+4Nk8kEAMjNzUXPnj3h7++Pc+fOITw8HMePH8eUKVPM24iKikJwcDAmT56M2NhYbN26FTNnzsSmTZvK75t9GwyaDb8skZ6eDldXV6SlpcHFxcXawyEiIiKif5H891rh2D4NewNO1atW6H1nZmRjbNACi74vs2bNwvHjx7Ft2zbz50wmE4xGIwAgNjYW9erVw9GjR9GqVSsABRMYHx8frF69Gv369cNXX32FSZMmISEhAXZ2dgCA48ePo2PHjrh48SI8PDwwduxYXL58GVu3bjXfz9KlS/HVV1/h2LFj5f0tsJiuV2g0TUN6ejqXmgViG7nYRiZ2kYtt5GIbshVbt27FI488UuRzhZMZANi/fz9q1aplnswAgL29PYKDg7Fz504AQGhoKB5++GHzZAYAWrVqBXd3d4SGhpqv07dv3yL3069fPxw/fhyJiYnl/rgspesJjaqqiI+P51KzQGwjF9vIxC5ysY1cbEOW0ir8kM0GaFrBLmfp6elFLjk5OcXGd+bMGbi5uWHs2LGoV68egoKCMH/+fOTn5wMoeG+Mj49Psdv5+PggLi7uptfx9fW96XUK/114HWvQ9YTGaDSiadOmRWawJAPbyMU2MrGLXGwjF9tQZVCnTh24urqaL4sWLSp2HZPJhPnz5+PJJ59EdHQ0Nm3ahG+++QbTpk0DANjZ2UFRiv/ZbzAYzCuUt3sdg6Fg4mXNlU5dT2g0TUNqaiqXmgViG7nYRiZ2kYtt5GIbslTFn1Sz4AIAFy5cQFpamvny+uuvFxufv78/nnvuOXTp0gUGgwFNmjTBjBkz8MUXXwAA/Pz8ih3RDADi4+Ph6+t7R9cp/HfhdaxB1xMaVVWRlJTEpWaB2EYutpGJXeRiG7nYhioDFxeXIhcHB4di1+ncuXOJu6IVXrdbt25ITEzEqVOnzF/Lz89HaGgoevXqBQAIDg7Gnj17zLupAUB4eDiSkpLQrVs383V27NhR5D52796Nli1bolatWnf+YG+Tric0RqMRjRo14lKzQGwjF9vIxC5ysY1cbEO2IiQkBMuXL8f+/fsBAP/88w/mzp2LZ555BgDg6emJ0aNHY8qUKUhPT4fJZML06dPh7u6OPn36AAD69u0LT09PzJgxAyaTCWlpaXjppZcwevRoeHp6AgAmTJiAn3/+2XyUs6ioKCxYsMC8a5u16HpCo6oqUlJS+MqMQGwjF9vIxC5ysY1cbEOWUmGwysVSDRs2xPr16/Haa6/By8sL3bp1w/DhwzFz5kzzdd5//30EBQUhMDAQfn5+iIqKwq5du1ClShUAQJUqVbBr1y5ERESgTp06aN68OVq0aIHly5cXuZ/t27dj3rx58PX1Rd++fTF79mwMHz68/L7Zt6GKVe/dygr3nXVzc7P2UOhf2EYutpGJXeRiG7nYhmxJly5dcPjw4VK/7uDggGXLlmHZsmWlXsfPzw8//PDDTe+nc+fOOHr06G2P827Q9YTGaDSiQYMG1h4GlYBt5GIbmdhFLraRi23IUhoM0MqwYlJe90mW0f0uZ4mJiVxqFoht5GIbmdhFLraRi22IbIOuV2gAIDMz09pDoFKwjVxsIxO7yMU2crENWaKs72kpr/sky+h6QqMoCgICAqw9DCoB28jFNjKxi1xsIxfbENkG3e9ydunSJS41C8Q2crGNTOwiF9vIxTZEtkHXKzQAkJuba+0hUCnYRi62kYld5GIbudiGLKFqBqhaBe9yVsH3V5npekKjKAr8/f2tPQwqAdvIxTYysYtcbCMX2xDZBt3vchYXF8elZoHYRi62kYld5GIbudiGLKVpBqtcyDK6ntAQEREREVHlpvtdznx9fa09DCoB28jFNjKxi1xsIxfbENkGXa/QqKqK2NhYLjULxDZysY1M7CIX28jFNmQp7nImm64nNABgb29v7SFQKdhGLraRiV3kYhu52Iao8tP9Lmfe3t7WHgaVgG3kYhuZ2EUutpGLbchSJhhgQsWumFT0/VVmul6hUVUVMTExXGoWiG3kYhuZ2EUutpGLbYhsg65XaADAycnJ2kOgUrCNXGwjE7vIxTZysQ1ZQvvfpaLvkyyj6wmNoijw8vKy9jCoBGwjF9vIxC5ysY1cbENkG3S9y5nJZMK5c+dgMpmsPRT6F7aRi21kYhe52EYutiGyDbpeoTEYDHBzc4PBwDddScM2crGNTOwiF9vIxTZkKQ0KNK1i1wE0fa87lImuJzSKoqBmzZrWHgaVgG3kYhuZ2EUutpGLbYhsg66nfiaTCWfOnOFSs0BsIxfbyMQucrGNXGxDltIAqBV84UEBLKfrCY2iKPD09ISi6PrbIBLbyMU2MrGLXGwjF9sQ2QZd73JWuO8sycM2crGNTOwiF9vIxTZEtkHXL0mYTCZERkZyqVkgtpGLbWRiF7nYRi62IUupmsEqF7KMric0iqLAx8eHS80CsY1cbCMTu8jFNnKxDZFt0P0uZy4uLtYeBpWAbeRiG5nYRS62kYttyFIalAo/jDIP22w5XX+nTCYTwsPDudQsENvIxTYysYtcbCMX2xDZBl2v0CiKgoCAAC41C8Q2crGNTOwiF9vIxTZkKVUruFT0fZJldD2hMRgMcHZ2tvYwqARsIxfbyMQucrGNXGxDZBt0/ZKEyWRCWFgYl5oFYhu52EYmdpGLbeRiGyLboOsVGkVR0LBhQy41C8Q2crGNTOwiF9vIxTZkKQ2Ahoo9jDL3OLOcric0BoMBjo6O1h4GlYBt5GIbmdhFLraRi22IbIOuX5IwmUw4ceIEl5oFYhu52EYmdpGLbeRiG7KUphmsciHL6HpCoygKAgMDudQsENvIxTYysYtcbCMX2xDZBt0/g41Go7WHQKVgG7nYRiZ2kYtt5GIbospP1xMaVVURFhYGVVWtPRT6F7aRi21kYhe52EYutiFLqTBY5UKW0fWERlEUBAUFcalZILaRi21kYhe52EYutiGyDbo+yhlQ8IZA/iKTiW3kYhuZ2EUutpGLbcgS1niTPg8KYDldP4NVVUVERASXmgViG7nYRiZ2kYtt5GIbItug6xUao9GIli1bWnsYVAK2kYttZGIXudhGLrYhsg26XqHRNA1ZWVnQNJ6LVRq2kYttZGIXudhGLrYhS6lWupBldD2hUVUVZ8+e5VKzQGwjF9vIxC5ysY1cbENkG3S/y1lQUJC1h0ElYBu52EYmdpGLbeRiG7IUDwogm65XaDRNw/Xr17nULBDbyMU2MrGLXGwjF9sQ2QZdT2hUVUVMTAyXmgViG7nYRiZ2kYtt5GIbslThCk1FX8gyut/lrHnz5tYeBpWAbeRiG5nYRS62kYttiGyDrldoNE1Deno6l5oFYhu52EYmdpGLbeRiGyLboOsJjaqqiI+P51KzQGwjF9vIxC5ysY1cbEOWUmGwyoUso/tdzpo2bWrtYVAJ2EYutpGJXeRiG7nYhsg26HqFRtM0pKamcqlZILaRi21kYhe52EYutiFLaZp1LmQZXU9oVFVFUlISl5oFYhu52EYmdpGLbeRiGyLboPtdzho1amTtYVAJ2EYutpGJXeRiG7nYhsg26H6FJiUlha/MCMQ2crGNTOwiF9vIxTZkKc0KBwTQeFAAi+l6QsN9Z+ViG7nYRiZ2kYtt5GIbItug+13OGjRoYO1hUAnYRi62kYld5GIbudiGLKVpBmhaxa6YVPT9VWa6XqFRVRWJiYlcahaIbeRiG5nYRS62kYttiGyDrldoACAzM9PaQ6BSsI1cbCMTu8jFNnKxDVlC+9+lou+TLKPrCY2iKAgICLD2MKgEbCMX28jELnKxjVxsQ2QbdL/L2aVLl7jULBDbyMU2MrGLXGwjF9sQ2QZdr9AAQG5urrWHQKVgG7nYRiZ2kYtt5GIbsoSqGaBW8Jv0K/r+KjNdT2gURYG/v7+1h0ElYBu52EYmdpGLbeRiGyLboPtdzuLi4rjULBDbyMU2MrGLXGwjF9uQpQoP21zRF7KMric0RERERERUuel+lzNfX19rD4NKwDZysY1M7CIX28jFNkS2QdcrNKqqIjY2lkvNArGNXGwjE7vIxTZysQ1ZSrPShSyj6wkNANjb21t7CFQKtpGLbWRiF7nYRi62Iar8dL/Lmbe3t7WHQSVgG7nYRiZ2kYtt5GIbspQGAzRU7Jv0K/r+KjNdr9CoqoqYmBguNQvENnKxjUzsIhfbyMU2RLZB1ys0AODk5GTtIVAp2EYutpGJXeRiG7nYhizBE2vKpusJjaIo8PLysvYwqARsIxfbyMQucrGNXGxDZBt0vcuZyWTCuXPnYDKZrD0U+he2kYttZGIXudhGLrYhsg26XqExGAxwc3ODwcAlPWnYRi62kYld5GIbudiGLKYZCi4VfZ9kEV1PaBRFQc2aNa09DCoB28jFNjKxi1xsIxfbENkG3e9ydubMGS41C8Q2crGNTOwiF9vIxTZkKVWzzoUso+sJjaIo8PT0hKLo+tsgEtvIxTYysYtcbCMX2xDZBl3vcla47yzJwzZysY1M7CIX28jFNkS2QdcvSZhMJkRGRnKpWSC2kYttZGIXudhGLrYhS2kwWOVCltH1hEZRFPj4+HCpWSC2kYttZGIXudhGLrYhsg0insEXL16Eu7s7Ro0aZf5cTk4OQkJC0LBhQ/j4+GDAgAGIj48v1/s1GAxwcXHh4RoFYhu52EYmdpGLbeRiG7KUphmsciHLWH1Co2kaRo4cCT8/vyKfHz9+PA4fPoxjx44hNjYWjRo1Qu/evct1WdhkMiE8PJxLzQKxjVxsIxO7yMU2crENkW2w+oTm3XffhZ2dHQYNGmT+XGxsLFavXo13330Xrq6uqFKlChYuXIi4uDjs2LGj3O5bURQEBARwqVkgtpGLbWRiF7nYRi62IUtpmnUuZBmrPoNPnjyJxYsXY8WKFUU+v3//ftSqVQutWrUyf87e3h7BwcHYuXNnqdvLyclBenp6kQsAqKpq/u+NH2uaBmdnZ2iaZv68yWQq8rH2v5+msnysaVqxjwGU+WNVVYt8XNrjuNXHlfExldSmsj8mW+l0qzaV8THZQidN0+Do6AiDwWAzj8lWOmmahqpVq95WG6mPyVY6ASjSxhYeU2XuRHS7rDahyc7OxhNPPIHFixejfv36Rb4WFxcHHx+fYrfx8fFBXFxcqdtctGgRXF1dzZc6deqYtwcACQkJSEhIAFDwvp1Lly4hLCwMMTExSE5OBgDExMTg6tWrAIDo6GikpaUBAM6cOYOMjAwAQGRkJDIzMwEAERERyM7OBgCEhYUhLy8PqqoiLCwMqqoiLy8PYWFh5sccEREBAMjMzERkZCQAICMjA2fOnAEApKWlITo6GgBw9epVxMTEAACSk5MRGxsLAEhMTMTFixdLfEyJiYkACla5KvNjiouLQ1hYGC5cuGAzj8lWOl24cAFhYWGIi4uzmcdkC50SExPx+++/w2Qy2cxjspVOKSkp5ja28phspdOVK1fw3//+FyaTyWYeU2XsVPg4iG6XQSucQlewiRMn4p9//sEPP/wAAJg9ezZiYmKwZs0avPvuu9iwYQOOHDlS5DavvfYaIiMjsXXr1hK3mZOTg5ycHPO/09PTUadOHVy9ehVubm7mVxcURTG/0pybmwt7e3sYDAYoigKTyVTkY0VRYDAYyvQxUPDKxo0fG41G8yvaln5cOMbCj28ce1k+royPqaQ2lf0x2UqnW7WpjI/JFjqZTCZkZ2fDycnJ/MpoZX9MttLpTtpIfUy20klVVWRlZZnb2MJjqoydUlNT4e7ujrS0NLi4uECS9PR0uLq64oVfPoZDNccKve+ca1n4+KEXRH5fpLHKiTV/+uknbNiwwTw7/zc/P78Sj2gWHx8PX1/fUrfr4OAABweHYp8vfPIU/vfGjx0di/5wGo3Gu/axwWAo08cljfd2Pq6sj+nfbWzhMd3s48r0mG7WprI+Jks/lvqYjEYjnJ2dzdexhcdkK53upI3Ux2QrnRRFKZc2kh5TZe5EdLusssvZjh07kJiYiFq1asFgMMBgMGDOnDlYu3at+RWAxMREnDp1ynyb/Px8hIaGolevXuU2DpPJhBMnTnDfTYHYRi62kYld5GIbudiGLMUTa8pmlQnNe++9Z17aLbzMmjULI0eOhKZpGDJkCEaPHo0pU6YgPT0dJpMJ06dPh7u7O/r06VNu41AUBYGBgUVehSAZ2EYutpGJXeRiG7nYhsg2iH0Gv//++wgKCkJgYCD8/PwQFRWFXbt2oUqV8t1LjsuccrGNXGwjE7vIxTZysQ1R5SdmQjN79mysWbPG/G8HBwcsW7YMFy9eREJCAn744YdiJ9+8U6r6/0fcIFnYRi62kYld5GIbudiGLKYZoFXwBRp3ObOUmAmNNSiKgqCgIC41C8Q2crGNTOwiF9vIxTZEtsEqRzmT5MbDCZIsbCMX28jELnKxjVxsQ5bQtIJLRd8nWUbXz2BVVREREcGlZoHYRi62kYld5GIbudiGyDboeoXGaDSiZcuW1h4GlYBt5GIbmdhFLraRi23IUtr/LhV9n2QZXa/QaJqGrKws85mbSQ62kYttZGIXudhGLrYhsg26ntCoqoqzZ89yqVkgtpGLbWRiF7nYRi62IbINut/lLCgoyNrDoBKwjVxsIxO7yMU2crENlQkPoyyWrldoNE3D9evXudQsENvIxTYysYtcbCMX2xDZBl1PaFRVRUxMDJeaBWIbudhGJnaRi23kYhuylKoZrHIhy+h6QmM0GtG8eXMYjUZrD4X+hW3kYhuZ2EUutpGLbciWHD9+HHZ2dvDz8yty2bx5MwAgJycHISEhaNiwIXx8fDBgwADEx8cX2UZcXByGDRuGgIAA+Pr6YsqUKcjNzS1ynUOHDqFz587w9/dHo0aN8Omnn1bYYyyNric0mqYhPT2dS80CsY1cbCMTu8jFNnKxDdmSixcvolWrVrh48WKRy8CBAwEA48ePx+HDh3Hs2DHExsaiUaNG6N27N0wmEwAgNzcXPXv2hL+/P86dO4fw8HAcP34cU6ZMMd9HVFQUgoODMXnyZMTGxmLr1q2YOXMmNm3aZJXHXEjXExpVVREfH8+lZoHYRi62kYld5GIbudiGLKZZ6VIGcXFxqFOnTolfi42NxerVq/Huu+/C1dUVVapUwcKFCxEXF4cdO3YAADZu3IjExEQsXLgQRqMRbm5uWLp0KT777DMkJycDAN555x106dIFgwYNAgA0a9YMr776KhYtWlS2wZYzXU9ojEYjmjZtyqVmgdhGLraRiV3kYhu52IYqg/T09CKXnJycEq938eJF+Pv7l/i1/fv3o1atWmjVqpX5c/b29ggODsbOnTsBAKGhoXj44YdhZ2dnvk6rVq3g7u6O0NBQ83X69u1bZNv9+vXD8ePHkZiYeEeP807oekKjaRpSU1O51CwQ28jFNjKxi1xsIxfbkKU0GKxyAYA6derA1dXVfCltNSQuLg5Xr17FwIEDUb9+fbRp0warVq0yf83Hx6fYbXx8fBAXF3fT6/j6+t70OoX/LryONej6PDSqqiIpKQnVq1fnqzPCsI1cbCMTu8jFNnKxDVUGFy5cgIuLi/nfDg4OJV7PYDAgMTERH374IQICAvDHH39gwIAByM/Ph52dHRSl+DqGwWAwT+hv9zoGQ8HEy5ovDOh6QmM0GtGoUSNrD4NKwDZysY1M7CIX28jFNmQpTSu4VPR9AoCLi0uRCU1pVq9eXeTfbdq0waRJk7B69WpMnjy52BHNACA+Ph6+vr4AAD8/v9u6TuG/C69jDbre5UxVVaSkpPDNgAKxjVxsIxO7yMU2crEN2ZKSVkhMJhMMBgO6deuGxMREnDp1yvy1/Px8hIaGolevXgCA4OBg7NmzB/n5+ebrhIeHIykpCd26dTNfp/AgAoV2796Nli1bolatWnfjYVlE1xMa7jsrF9vIxTYysYtcbCMX25At6devH1555RVkZmYCAP744w8sX74cY8eOhaenJ0aPHo0pU6YgPT0dJpMJ06dPh7u7O/r06QMA6Nu3Lzw9PTFjxgyYTCakpaXhpZdewujRo+Hp6QkAmDBhAn7++Wds3boVQMFhnBcsWIBp06ZZ50H/j64nNEajEQ0aNOB+swKxjVxsIxO7yMU2crEN2ZKVK1ciKSkJTZo0Qa1atTBixAjMnDkTzzzzDADg/fffR1BQEAIDA+Hn54eoqCjs2rULVaoUvAOlSpUq2LVrFyIiIlCnTh00b94cLVq0wPLly8330bBhQ2zfvh3z5s2Dr68v+vbti9mzZ2P48OFWecyFDJoNvyyRnp4OV1dXpKWllbjvoaqqSE5OhoeHR4lvgiLrYRu52EYmdpGLbeRiGxlu9feaNRWObfRPn8He2alC7zv3eiZWP/ysyO+LNLo+KAAA87IcycM2crGNTOwiF9vIxTZkCU0zQNMMFX6fZBldT2gURUFAQIC1h0ElYBu52EYmdpGLbeRiGyLboOv1VVVVcenSJR7dRCC2kYttZGIXudhGLrYhsg26ntAAQG5urrWHQKVgG7nYRiZ2kYtt5GIbospP97uc+fv7W3sYVAK2kYttZGIXudhGLrYhsg26XqFRVRVxcXFcahaIbeRiG5nYRS62kYttyFKFBwWo6AtZRtcTGiIiIiIiqtx0v8uZr6+vtYdBJWAbudhGJnaRi23kYhsi26DrFRpVVREbG8ulZoHYRi62kYld5GIbudiGLKVp1rmQZXQ9oQEAe3t7aw+BSsE2crGNTOwiF9vIxTZElZ/udznz9va29jCoBGwjF9vIxC5ysY1cbENkG3S9QqOqKmJiYrjULBDbyMU2MrGLXGwjF9sQ2QZdr9AAgJOTk7WHQKVgG7nYRiZ2kYtt5GIbsohmKLhU9H2SRXQ9oVEUBV5eXtYeBpWAbeRiG5nYRS62kYttiGyDrnc5M5lMOHfuHEwmk7WHQv/CNnKxjUzsIhfbyMU2RLZB1ys0BoMBbm5uMBi4pCcN28jFNjKxi1xsIxfbkKWscRhlHrbZcrqe0CiKgpo1a1p7GFQCtpGLbWRiF7nYRi62IbINut/l7MyZM1xqFoht5GIbmdhFLraRi23IYpqVLjYuNTUVycnJd7wdXU9oFEWBp6cnFEXX3waR2EYutpGJXeRiG7nYhqhi5efn45NPPkGPHj3g5OSEmjVrwsvLC/b29ujQoQMWL16MjIyMMm9X189g7jsrF9vIxTYysYtcbCMX2xBVnEOHDiEwMBChoaEYM2YMTp8+jfT0dGRlZSE6Ohqvv/46YmNjce+992Ljxo1l2rau30NTuNTcqFEjGI1Gaw+HbsA2crGNTOwiF9vIxTZkKQ0GaKjYiW9F39/ddPnyZSxevBg//fQTAgICin3dz88Pfn5+6N+/P65evYpp06bBx8cHnTp1smj7up7QKIoCHx8fLjULxDZysY1M7CIX28jFNkQVo1atWtiyZYtF161RowY++eSTMm1f189gg8EAFxcXLjULxDZysY1M7CIX28jFNmQxHhTgjn3xxRfo2LEjDhw4AADo2bNnuW1b1xMak8mE8PBwHt1EILaRi21kYhe52EYutiGqOAsXLsTixYsxadIkmEwmXLx4sdy2rftdzgICArjULBDbyMU2MrGLXGwjF9uQxayxYmJjKzQmkwmtWrXCs88+ixUrVpTryqiun8EGgwHOzs5cahaIbeRiG5nYRS62kYttiCrO9OnT8c477+D555/H4cOHcf78+XLbtq4nNCaTCWFhYVxqFoht5GIbmdhFLraRi22IKs7o0aMxe/ZsKIqCL7/8EklJSeW2bV1PaBRFQcOGDbnULBDbyMU2MrGLXGwjF9sQWU+1atXKbVu6fg+NwWCAo6OjtYdBJWAbudhGJnaRi23kYhsi67hw4QKmTZuGEydOIDs7u8jXoqOjy7w9XU9oCpeag4KCeEItYdhGLraRiV3kYhu52IYsZ/jfpaLv0zY99dRT8PT0xOTJk2Fvb3/H29P1hEZRFAQGBnKpWSC2kYttZGIXudhGLrYhso6oqCjs27ev3Lan+2cwX5GRi23kYhuZ2EUutpGLbYgq3n333Yfff/+93Lan6xUaVVW51CwU28jFNjKxi1xsIxfbkMV4Hppy9emnn6Jdu3a4//77UbNmzSJf+/zzz8u8PV1PaBRFQVBQEJeaBWIbudhGJnaRi23kYhsi63j55ZdRtWpVVK9eHZp25zM3XU9ogII3BPIXmUxsIxfbyMQucrGNXGxDFuEKTbnat28f/vnnHzg5OZXL9nT9DFZVFREREVBV1dpDoX9hG7nYRiZ2kYtt5GIbIusICAhAWlpauW1P1ys0RqMRLVu2tPYwqARsIxfbyMQucrGNXGxDluNhm8vTiBEj0L17d7z44otwcXEp8rWnn366zNvT9YRG0zRkZ2ejatWqMBhs94emMmIbudhGJnaRi23kYhsi63j//fcBAO+++26RzxsMhtua0Oh+l7OzZ89yqVkgtpGLbWRiF7nYRi62IbKO8+fPl3iJjo6+re3pekJjNBp5qEah2EYutpGJXeRiG7nYhiylada52KrSJi5ff/31bW1P1xMaTdNw/fr1cjlcHJUvtpGLbWRiF7nYRi62IbKOrl27FpnU5Obm4rnnnsOECRNua3u6ntCoqoqYmBguNQvENnKxjUzsIhfbyMU2ZDHNShcbFRISgoceeghnz57F2bNn0bZtW0RHR+PkyZO3tT1dHxTAaDSiefPm1h4GlYBt5GIbmdhFLraRi22IrOPFF1+Ej48PevbsiczMTISEhGDy5Mm3vT1dr9Bomob09HQuNQvENnKxjUzsIhfbyMU2RBUnNja2yKVVq1ZYuHAh3Nzc0K1bN/Pnb4euV2hUVUV8fDwaNWrENwQKwzZysY1M7CIX28jFNmQxzVBwqej7tCEBAQEwGAwlvoBw3333ASg4bLPJZCrztnU9oTEajWjatKm1h0ElYBu52EYmdpGLbeRiG6KKczffq6b7Xc5SU1O51CwQ28jFNjKxi1xsIxfbkKUMVrqQZXQ9oVFVFUlJSTy6iUBsIxfbyMQucrGNXGxDVDE0TcPbb7+NCxcu3JXt636Xs0aNGll7GFQCtpGLbWRiF7nYRi62IYtZ4zDKNrRwaDAY0LZtW8yYMQPXrl3DE088gf79+5fbe9d0v0KTkpLCV2YEYhu52EYmdpGLbeRiG6KK06VLF6xZswafffYZ4uLi0KdPH4SEhODs2bN3vG1dT2i476xcbCMX28jELnKxjVxsQ1Tx3NzcMGHCBOzatQuDBw/GO++8g0cffRTr169Hbm7ubW1T1xMao9GIBg0a8FCNArGNXGwjE7vIxTZyWaPNnbxnJy4u7rYnX97e3uXySriuaRV80YHWrVvj448/xvr165GTk4NBgwbh5ZdfRnh4eJm2o+sJjaqqSExM5FKzQGwjF9vIxC5ysY1c1mgzaNAgHDhwoMjnAgICbjnZyM7ORrt27bBr1667OTwiq3BycsLo0aOxfft2PPfccwgLCyvT7XV9UAAAyMzMtPYQqBRsIxfbyMQucrGNXBXZJiMjA+Hh4ejQoUOZb/vhhx+ifv366N27NwAgLCwMFy9eNP+byFYEBgYiMDCwTLfR9QqNoigICAiAouj62yAS28jFNjKxi1xsI1dFt/nuu+8QHByMrKwsvPvuuyVeZ8uWLfjzzz+LfC4hIQFLlizBBx98YP6cnZ0dXnzxRXz22WdFrrt+/Xq4ubkVuyQmJqJVq1bFPj98+PDyf6BEt2nIkCE4efJkmW+n69+uqqri0qVL3A1AILaRi21kYhe52Eauim6zatUqdO/eHenp6UUmJzfavn17sT/oXnzxRTz//PNo0qQJ0tLSEBcXBwBYtGgRJkyYgP/85z/m644YMQKpqanFLj4+Pjh16lSxz3/zzTd37wETlcEHH3yA3bt3w8XFpcy31f0uZ7d7NAW6+9hGLraRiV3kYhu5KqrNr7/+igMHDmDMmDEWXf/8+fMICgpCXl4e8vLy8NNPP+GTTz5B9erV4erqiho1asDDwwMvvPAC5s6dC1dXV4wYMQIAcOHCBbRp06bI9pKSktCmTZsiB0B45plnsHDhwvJ7kLaM56G5q0JDQzFt2jR8/fXXqFevXplvr+sJjaIo8Pf3t/YwqARsIxfbyMQucrGNXBXVxmQyYcqUKWX6Q61evXq4dOkS7O3tYW9vf9PrPv/886hRo0aR+6tSpQouXrxo/pyfnx8OHDiAgIAAAMB7773Ho56RCBs3bsTYsWPx6aefYsCAAbe1DV1PaFRVRUJCAmrXrs19m4VhG7nYRiZ2kYtt5KqoNocOHUKTJk3g6OhYpttVq1YNr7zyCjZt2nTT633zzTdo1qzZnQyRboUrNOXuxIkTmDdvHsLDw7Fz587bOlhGIV1PaIiIiIjutk6dOqFFixZ4+eWXy3zb5ORkTJgwAa+88kqJX2/ZsiWys7PvcIREd9cXX3yBnJwcpKamIioqCgcPHkT16tUxcuRIrF+/Hg4ODne0fV1PaBRFga+vr7WHQSVgG7nYRiZ2kYtt5KrINtWqVauQ+7mVjIwMODo64tq1azAYDNYeTiVi+N+lou/TNqxevRq5ubnIzMxEXFwc8vLy0Lp1a9SsWbNcTmyr67VvVVURGxvLI88IxDZysY1M7CIX28ilxzaffvopqlWrhkWLFuGBBx6w9nBIJ3755RccPHgQf/75JxITE3Hu3DkMGjQI3377LQIDA2+5W+WtWDyhWb9+PQDgk08+KfU6eXl5N/26RLd6ox1ZD9vIxTYysYtcbCOXtdrExsaazwWTmpqK1q1bw83NDevWrSt23YULFyIgIKDES0RERLHre3l5YdWqVSXe75QpU5CdnY3r169j2LBh5f64iCzh7u6OgQMH4vvvv8cXX3yBN954A9OmTbvt7Vk8oZk9ezaAgqNilCYyMhKLFi267cFUNEVR4O3tzTdpCsQ2crGNTOwiF9vIZc02/v7+JZ4v5qmnnip23enTpyMmJqbES0lnVHdyckJwcHBFPAz90Kx00YH27dvj4MGD2L17d6nvFbuVMr+HRtOKfneDg4PxwQcfoHHjxjhx4gS6du16WwOxhsKlZn9/f/6PRhi2kYttZGIXudhGropu89lnn5k/jomJueV1AGDNmjU33eaJEycsuu8bD+FMJI2Hhwe+//57tG7dGr169UKPHj3KdHuLn72apmHy5MmIj4/H0KFDMXToUCQnJ+Po0aPo2bMnTpw4gZ07d6Jfv35lfhDW5OTkZO0hUCnYRi62kYld5GIbudiGLMIVmruufv36mD59Ovbv31/m21o8oTEYDBg2bBjc3Nzw/PPP4+LFi7h+/Tp8fX2xbds2DBs2DMePH7/tE+JYg6Io8PLy4itmArGNXGwjE7vIxTZysQ2RLFOmTMG8efPKfLtbPoPnzp2LuXPnAijYx83Z2Rndu3dHzZo1ARRMdO69915069YN9evXL5dDr1UUk8mEc+fOwWQyWXso9C9sIxfbyMQucrGNXJWtzfXr13HhwgXExMTgypUr1h4OkcXy8/Nx4cKFW16v8MWF9PT0Mv2M3/I9NBkZGSV+/sZjlx85cgRhYWEwmUyIiIgo8Q1qEhkMBri5ufE47AKxjVxsIxO7yMU2clWGNpqm4fTp09i+fTv27voZ2dezoWlAFTsjWrW7DwMeHYBOnTrxSHokWnp6Op588kn06dMHzz//PFxdXUu8Xl5eHtavX4+PP/4Ya9asgbu7u0XbN2j/fpd/KRo1aoR7770XO3bsQNOmTRETE4MTJ07g/vvvh6+vL3744QccOHAAx48fx9KlSy1/hHdReno6XF1dkZaWBhcXF2sPh4iIiMhiWVlZWLhwIfbuCAWuK/B3qQ9355owGAy4nnMN/1yNxnUlHU3ubYyFixfA39/f2kO+LZL/Xisc25PffAn7Cn6/VW5mJr4c/qTI78vtyM7OxuzZs/H555+jTZs2aNu2LWrVqgVFUZCSkoI///wTv/76K3r37o0lS5bAy8vL4m1bPKFp3Lgx9u3bhwcffBA///wzAMDPzw8+Pj74888/4ePjg2vXrqFly5Y4e/bs7T3ScnarJ4jJZEJ0dHSl21VOD9hGLraRiV3kYhu5JLfJzc3FtNem4cCu/yLI8374uNUpcSUpPSsNRy8chFejmvjwPx/Az8/PCqO9M5VhQvPU19aZ0Kx73HYmNIVSUlKwfft2HDx4EAkJCVBVFV5eXmjdujX69et3WxPzMh222cfHB/b29qhbt675cwMGDICPjw8AoFq1anB0dDQfAlE6RVHg6enJNwMKxDZysY1M7CIX28gluc2qVatwYPd/0cbnAdSs5lnq9VwcXdG5fg/8+vcezHxzFj77/FORj4eoUM2aNTFy5EiMHDmy3LZp8YTm8uXLeOaZZxAfH48xY8ZAURTY2dnB3d0dy5cvR4sWLdC5c2d8/vnnlWIyA/z/vrMkD9vIxTYysYtcbCOX1DbXr1/HD99tRR2n+jedzBSyr2KP+3zb4tiJ/+L48eNo3bp1BYxSbwz/u1T0fZIlLJ7Cr1ixAt27d8dHH32Ebt264cEHH0Tr1q3h5eWFv//+G5MnT0bt2rWxd+/euznecmUymRAZGVlpjm6iJ2wjF9vIxC5ysY1cUtuEhoYiOT4F9T0bW3wbd2cPVMm2x7Zt2+7iyIhksniF5oknnkBmZiZMJhOqV69e7Ovh4eHIyclBbGxsuQ7wblIUBT4+PlyaFYht5GIbmdhFLraRS2qbo0ePwll1haO9o8W3MRgM8HOpiwP7DkLTNNFHbiMqb2V6Bh84cAAbN27EmTNn8PfffyMjIwNTp04FAIwePRqtWrXCo48+ejfGeVcYDAa4uLjwSS8Q28jFNjKxi1xsI5fUNqlXUlG1StUy366qnRPyc/ORmZl5F0alc5qVLmQRiyc0/fr1w6xZs6BpGjp27IgRI0Zg27Zt+O233wAUHCe9sjGZTAgPDxe31ExsIxnbyMQucrGNXFLbOFR1gKqpZb6dqplgUAyws7O7C6MiujPnzp0DAJw4ceKm1wsPDy/zti2e0MTFxeGFF14AADRt2hQzZszAtm3bcOnSJbz11lu4fPky3nrrLbz11ltlHoS1KIqCgIAAcUvNxDaSsY1M7CIX28gltU0d/zpIz08t84vFyRmJqO1XmyfZvBu4QnPHevfuDQAYMWJEqdc5f/48unXrVuZt3/IZ/N5772HDhg3QNA3Ozs4ACpZoDQYDHBwcYDQa4ezsDEVR4OzsbL5OZWAwGODs7CxuqZnYRjK2kYld5GIbuaS2CQ4OhrG6AQlpcRbfJjc/F0l5CRgwsP9dHBnRnfv3RH3RokXIzs4GAJw6dQodOnQo8zZvOaFRFAXHjx9HTEwM3njjjSJf69mzJzw9PTF69Gh4eHhg/PjxGD9+fJkHYS0mkwlhYWHilpqJbSRjG5nYRS62kUtqm8aNG+O+ti0Qdfk0VNWysUVdCodrLRc8/PDDd3l0RLdH0zR8/fXXSEtLw4oVK7BixQpcu3YNs2fPxgMPPICrV69i79696NWrV5m3fcsJzcSJE7FkyRI0bdoU77//PgAgLCwMr7zyinlw7dq1w19//VXmO7c2RVHQsGFDcUvNxDaSsY1M7CIX28gltY3BYMC4F8ehqrcdDp8/eMtJzbnEKMTn/4NnXxgDd3f3ChqlvhisdLE1SUlJyMvLQ0JCApYvX46UlBQ0btwY48ePR9++fbFnzx48/vjjZd6uxc/gyZMnmz+OiorCvn370LVrVzRp0gRhYWEIDAws851bm8FggKOjo7ilZmIbydhGJnaRi23kktzmnnvuwZyFswHPPPxyZjdiks/BpOabv65pGhLTL+G/5/YjOicKY8aPxvDhw603YKJS/Prrr/j1119hMBgwceJEeHh4YN68eWjcuOA8SwaDAaNHj0bz5s3RtGlTuLq6lvk+LD4Pzb333gtVVXHffffh66+/xooVKzBx4kS89NJLmD9/Prp3717mO7e2wqXmoKAgGI1Gaw+HbsA2crGNTOwiF9vIJb1Np06d8OHHH+CLtV/gt18OIvJsGJwUZ2gakIdcwFFFYNtmGD5iCnr06CFyYmYzrPEmfRs5KEDhKV4KFf6c3vjzmpycjEOHDiEvLw9JSUnw9PQs033cckKTkpKCmjVr4q+//sLEiRMxc+ZM2NnZoX79+njyySfx8ssvo3v37rf1Bh5rUxQFgYGB4paaiW0kYxuZ2EUutpGrMrRp2rQpFi5aiLi4OISGhiIpKQn5+flwcXFBx44dERQUxIkMiXb06FEAQKNGjbBkyRIkJiZiypQpiIiIAACkpaXhkUcewXvvvYejR4/i888/x7Rp08p0H7ec0EyYMAGnT5/GokWLcOjQIQwcOBAtW7ZE9erV0bJlSwDAvn37zNc3GAyIjo4u0yCsSeIrMlSAbeRiG5nYRS62kauytPH19cVTTz1l7WEQ3ZEmTZrA3t4eLVq0QIsWLeDh4YGUlBSsWbMGDz30EJo1a4Z+/fqVeUJzy5ckvv76a6xevRpffPEFxo4di9TUVPj5+WHHjh1Yu3YtVq5cie+++w7Hjx9HZGRkpTo4gKqqCAsLg6qW/eRVdHexjVxsIxO7yMU2crENWYznobljBoMBjz76KFxdXTFy5EiMHDkSzs7OaNSoER566CEAQO3atZGSkoLU1NQybdui99C0bt0aS5YswWOPPYZffvkFvr6+SE5ORlpaGnbv3o2//voLp0+fRpcuXfDtt9+W+QFai6IoCAoKEr3UrFdsIxfbyMQucrGNXGxDVHHS09PxxRdfIC0tDevWrYOiKLCzs8OiRYtw8uRJNGnSBFWrVsXrr79e5pVTiw8KUK9ePRw5cgRVqhTcZNKkSfDz80O/fv0AFBxtIyUlpUx3LoHJZOIvMqHYRi62kYld5GIbudiGqGL069cPv/32G/r06YNff/0VqqoiLy8PqampOHfuHGJiYtCzZ0+89tprqF69epm2bfGEBoB5MgMADRo0KPI1g8EADw8Pi7eVnp6OkJAQ/Pjjj1BVFZ6ennjzzTcxaNAgAMDZs2cxffp0HDp0CJqmISAgALNmzUKPHj3KMuSbUlUVERERYo9uomdsIxfbyMQucrGNXGxDVHE+/fTTm3796tWrWL16NTZt2oSOHTuWadtlmtCUp2HDhqFWrVoIDw9HtWrVEBoain79+sHPzw9BQUHo2rUrnnzySXz11Vews7PDt99+i379+uHAgQO4//77y2UMRqPRfGADkoVt5GIbmdhFLraRi23IYjxs811Xo0YNTJky5bZua7U11nXr1mHlypWoVq0aAKBbt25o2LAhDh48iFOnTiEuLg7Tp0+HnZ0dAGDo0KFo2rQp9u/fX25j0DQNWVlZ0DSd/cRUAmwjF9vIxC5ysY1cbENUcfbu3YsdO3YUOYDYqVOnymXbVpvQeHh4wMHBAQCQnZ2NlStXIjIyEp07d0bjxo3h4uKC77//3nz9yMhInD17Fg888ECp28zJyUF6enqRCwDz0UtUVS3ycX5+Ps6ePYv8/Hzz500mU5GPC3/JleVjTdOKfQygzB+rqlrk49Iex60+royPqaQ2lf0x2UqnW7WpjI/JFjrl5+fjzJkz5rHawmOylU530kbqY7KVTiaTqUgbW3hMlbkT2baRI0fiww8/xP79+xEVFYUHHngAY8eORV5eHg4dOoRff/3VfCkrq78Lrk6dOnBycsLHH3+MTZs2oXXr1qhRowZ2796NDz/8EMHBwXjqqafw/PPPY8uWLWjbtm2p21q0aBFcXV3Nlzp16gAA4uLiAAAJCQlISEgAAFy8eBEpKSkICgpCXFwckpOTAQAxMTG4evUqACA6OhppaWkAgDNnziAjIwNAweQqMzMTABAREYHs7GwAQFhYGPLy8qCq/38YyLy8PISFhQEomLgVnkQoMzMTkZGRAICMjAycOXMGQMHJhQrP43P16lXExMQAKDiDamxsLAAgMTERFy9eLPExJSYmAgBiY2Mr9WNKTExEUFCQ+WNbeEy20ikhIQFBQUHmj23hMdlCp6tXr8LFxQVGo9FmHpOtdEpPT4ezszOMRqPNPCZb6XTt2jU4OjrCaDTazGOqjJ0KH4doPGzzHXNxccGOHTvg7u6Onj174rnnnsPhw4dhZ2eHZcuWYd68eQgODsb8+fPLvG2DVjiFtqLU1FQsXboUERERWLt2LZydnfH111/j7bffRv/+/eHh4YH//Oc/6NGjB95++23Y29uXuJ2cnBzk5OSY/52eno46derg6tWrcHNzM7+6oCgKVFWFpmnIzs5G1apVYTAYoCgKTCZTkY8VRYHBYCjTx0DBKxs3fmw0GqFpWpk+Lhxj4cc3jr0sH1fGx1RSm8r+mGyl063aVMbHZAudTCYTMjMzUa1aNfMro5X9MdlKpztpI/Ux2UonVVVx/fp1cxtbeEyVsVNqairc3d2RlpYGFxcXSJKeng5XV1c8vfYr2Ds5Veh952Zm4ouRT4j8vtyOZs2a4ZVXXkGdOnUQFBSE5cuXIywsDC+//DJ69uwJoOA8NIUT7LIQMaEp1LFjRwwYMACdOnXCI488gtOnT8Pf3x9AwQy+U6dO6N+/P2bNmmXR9gp/CEv7QTCZTIiMjETTpk15dBNh2EYutpGJXeRiG7nYRoZb/b1mTYVjG7nGOhOataNsa0IzcuRIrFy5Eps3b4anpycOHDiAjz76yLybmY+PD+Lj48u8bavscqaqKrZv317s8x4eHkhISMB///tf1K9f3zyZAYCqVauiS5cuOHz4cLmNw2g0onnz5vwlJhDbyMU2MrGLXGwjF9sQ3X0RERGIiIiAqqoICQnBW2+9hcGDB+PcuXMYOHAgLly4gD///BPHjh1Dfn7+bd2HVSY0SUlJePbZZzFnzhzzLmK7d+/G7t270adPH3Tp0gURERFYt26decnzwIED+PLLL9GrV69yG4emaUhPT4egRSr6H7aRi21kYhe52EYutiFbdfHiRbi7u2PUqFHmz+Xk5CAkJAQNGzaEj48PBgwYUGw1JC4uDsOGDUNAQAB8fX0xZcoU5ObmFrnOoUOH0LlzZ/j7+6NRo0a3PL9Mnz590KdPH6Snp2Pjxo2YN28evv32W4wYMQJRUVG4fPkyJk2ahJdfftl8QK+yssqEplatWjh06BD++usv1K9fHz4+PggJCcGaNWvQs2dPtGvXDlu3bsXq1avh7+8Pb29vTJw4EfPmzcPEiRPLbRyqqiI+Pt48aSI52EYutpGJXeRiG7nYhmyRpmkYOXIk/Pz8inx+/PjxOHz4MI4dO4bY2Fg0atQIvXv3Nh9lLjc3Fz179oS/vz/OnTuH8PBwHD9+vMi5YaKiohAcHIzJkycjNjYWW7duxcyZM7Fp06ZSx3P+/HmcP38ebm5u+PPPP/Hzzz+jVatWWLNmDYYNG4YGDRrg119/xW+//YYaNWrc1mMW9R6a8iZ5n0wiIiIikv33WmV8D80777yDvXv3on379oiJicGaNWsQGxuLevXq4ejRo2jVqlXB9nNz4ePjg9WrV6Nfv3746quvMGnSJCQkJJjPA3n8+HF07NgRFy9ehIeHB8aOHYvLly9j69at5vtbunQpvvrqKxw7duym4woMDERERASaNm2K+Ph48wEsunXrhm3btgGoZO+hkaLwyBo2PKertNhGLraRiV3kYhu52IYsZdCscwFQ7ByLNx7R999OnjyJxYsXY8WKFUU+v3//ftSqVcs8mQEAe3t7BAcHY+fOnQCA0NBQPPzww+bJDAC0atUK7u7uCA0NNV+nb9++Rbbdr18/HD9+3HzI71vZuHEj9uzZg4yMDKSkpODq1avYtGkTNmzYgKysLGzcuNGi7dxI1xMaVVWRlJTEpWaB2EYutpGJXeRiG7nYhiqDOnXqFDnP4qJFi0q8XnZ2Np544gksXrwY9evXL/K1uLg4+Pj4FLuNj4+P+XyNpV3H19f3ptcp/HfhdUqjqiouXLiAqKgovPnmm6hbty4++OADNG/eHBs3bsSuXbvw6KOPmidYZVGlzLewIUajEY0aNbL2MKgEbCMX28jELnKxjVxsQxazxoku/3d/Fy5cKLLLmYODQ4lXf+2119CgQQM8++yzxb5mZ2dnPgfQjQwGg3mF8navYzAYCoZ7i5VOJycndOnSBSNHjsSePXvw999/44cffsDgwYPh5eWFFi1a3PT2N6PrCY2qqrh69Spq1KhRYkCyHraRi21kYhe52EYutqHKwMXF5Zbvofnpp5+wYcMGhIWFlfh1Pz+/Et+bEh8fD19f3zu6TuG/C69TmuPHjxf5d+PGjfHqq68iNzf3jnf71PWzl/vOysU2crGNTOwiF9vIxTZkK3bs2IHExETUqlULBoMBBoMBc+bMwdq1a2EwGKAoChITE3Hq1CnzbfLz8xEaGmo+JUpwcDD27NlT5Fww4eHhSEpKQrdu3czX2bFjR5H73r17N1q2bIlatWrd1tjt7e1LXXWylK4nNEajEQ0aNOAJtQRiG7nYRiZ2kYtt5GIbshXvvfceNE0rcpk1axZGjhwJTdMwZMgQjB49GlOmTEF6ejpMJhOmT58Od3d39OnTBwDQt29feHp6YsaMGTCZTEhLS8NLL72E0aNHw9PTEwAwYcIE/Pzzz+ajnEVFRWHBggWYNm2a1R47wF3OkJycDA8PDy41C8M2crGNTOwiF9vIxTakJ++//z5CQkIQGBgIk8mEtm3bYteuXahSpWA6UKVKFezatQvjx49HnTp1oCgKhgwZgsWLF5u30bBhQ2zfvh1TpkzBuHHj4OTkhNmzZ2P48OG3vP+xY8eaz3lTGqPReMsTdZZE1xMaAMjMzLT2EKgUbCMX28jELnKxjVxsQ5a48TDKFXmfd2L27NlF/u3g4IBly5Zh2bJlpd7Gz88PP/zww02327lzZxw9erTM41mzZk2xMd1o7ty5mDNnTpm3C/DEmkRERERkRZL/Xisc2+hV1jmx5uoxZT+xplR2dnbIy8sr9euOjo7Iysq6rW3ren1VVVVcunSJx58XiG3kYhuZ2EUutpGLbYgqTuHhnW/36zej6wkNAOTm5lp7CFQKtpGLbWRiF7nYRi62Iar8dP0eGkVR4O/vb+1hUAnYRi62kYld5GIbudiGyDboeoVGVVXExcVxqVkgtpGLbWRiF7nYRi62IYtpVrqQRXQ9oSEiIiIiospN97uc+fr6WnsYVAK2kYttZGIXudhGLrYhqlgJCQm42QGWExISULt27TJvV9crNKqqIjY2lkvNArGNXGwjE7vIxTZysQ1RxVFVFX5+fqVesrOz4efnhytXrpR527peoQEAe3t7aw+BSsE2crGNTOwiF9vIxTZEFSM/P/+ubVvXExpFUeDt7W3tYVAJ2EYutpGJXeRiG7nYhixmjTfp86AAFtP9LmcxMTFcahaIbeRiG5nYRS62kYttiGyDric0AODk5GTtIVAp2EYutpGJXeRiG7nYhizCwzbfdXl5eWjfvj0OHDhQ5tvqfpczLy8vaw+DSsA2crGNTOwiF9vIxTZEcsyePRsxMTFo2rRpmW+r6xUak8mEc+fOwWQyWXso9C9sIxfbyMQucrGNXGxDJMNXX32F5cuXY/PmzfDw8Cjz7XW9QmMwGODm5gaDwWDtodC/sI1cbCMTu8jFNnKxDVnKAMBQwbuA6eWn8q233sLbb7+Nbdu2oUOHDre1DV1PaBRFQc2aNa09DCoB28jFNjKxi1xsIxfbEFlHXl4etm/fjoULF6JatWo4dOgQGjRocNvb0/WExmQyITo6GvXr14fRaLT2cOgGbCMX28jELnKxjVxsQ1Qx5s6di5ycHKSmpiIqKgp//fUXOnXqhNmzZ6NPnz53vH1dv4dGURR4enpCUXT9bRCJbeRiG5nYRS62kYttiCrG+fPnERMTg/j4eKSnpyMnJwcJCQkICwvD1atX73j7ul6hKdx3luRhG7nYRiZ2kYtt5GIbspRBs8J7aGzosM2rV68u8m9N03DixAmsW7cO99xzDyZPnoxXXnnltrev65ckTCYTIiMjeXQTgdhGLraRiV3kYhu52IbIOgwGA+677z4sXboUBw8exObNm/H4448jPz//tran6wmNoijw8fHhUrNAbCMX28jELnKxjVxsQ2R9AQEB2Lt3LxITE/H000/f1jZ0/Qw2GAxwcXHh4RoFYhu52EYmdpGLbeRiG7KYZqWLTjg6OuKbb77Bvn378NVXX5X59rqe0JhMJoSHh3OpWSC2kYttZGIXudhGLrYhksPT0xMLFy7ElStXynxbXR8UQFEUBAQEcKlZILaRi21kYhe52EYutiGSZdSoUbd1O11PaAwGA5ydna09DCoB28jFNjKxi1xsIxfbENkGXb8kYTKZEBYWxqVmgdhGLraRiV3kYhu52IbINuh6hUZRFDRs2JBLzQKxjVxsIxO7yMU2crENWcwab9LX0UEB7pSuJzQGgwGOjo7WHgaVgG3kYhuZ2EUutpGLbYhsg65fkjCZTDhx4gSXmgViG7nYRiZ2kYtt5GIbshgP2yyaric0iqIgMDCQS80CsY1cbCMTu8jFNnKxDZFt0P0z2Gg0WnsIVAq2kYttZGIXudhGLrYhqvx0PaFRVRVhYWFQVdXaQ6F/YRu52EYmdpGLbeRiGyLboOsJjaIoCAoK4lKzQGwjF9vIxC5ysY1cbENkG3R9lDOg4A2B/EUmE9vIxTYysYtcbCMX25AlDFrBpaLvkyyj62ewqqqIiIjgUrNAbCMX28jELnKxjVxsQ2QbdL1CYzQa0bJlS2sPg0rANnKxjUzsIhfbyMU2ZDGeWFM0Xa/QaJqGrKwsaBp/YqRhG7nYRiZ2kYtt5GIbItug6wmNqqo4e/Ysl5oFYhu52EYmdpGLbeRiGyLboPtdzoKCgqw9DCoB28jFNjKxi1xsIxfbkKV4UADZdL1Co2karl+/zqVmgdhGLraRiV3kYhu52IbINuh6QqOqKmJiYrjULBDbyMU2MrGLXGwjF9sQ2Qbd73LWvHlzaw+DSsA2crGNTOwiF9vIxTZEtkHXKzSapiE9PZ1LzQKxjVxsIxO7yMU2crENWUyz0oUsousJjaqqiI+P51KzQGwjF9vIxC5ysY1cbENkG3S/y1nTpk2tPQwqAdvIxTYysYtcbCMX2xDZBl2v0GiahtTUVC41C8Q2crGNTOwiF9vIxTZEtkHXExpVVZGUlMSlZoHYRi62kYld5GIbudiGyDbofpezRo0aWXsYVAK2kYttZGIXudhGLrYhi1njTfpcOLSY7ldoUlJS+MqMQGwjF9vIxC5ysY1cbENkG3Q9oeG+s3KxjVxsIxO7yMU2crENkW3Q/S5nDRo0sPYwqARsIxfbyMQucrGNXGxDljL871LR90mW0fUKjaqqSExM5FKzQGwjF9vIxC5ysY1cbENkG3S9QgMAmZmZ1h4ClYJt5GIbmdhFLraRi23IIjwogGi6ntAoioKAgABrD4NKwDZysY1M7CIX28jFNkS2Qfe7nF26dIlLzQKxjVxsIxO7yMU2crENkW3Q9QoNAOTm5lp7CFQKtpGLbWRiF7nYRi62IYtwlzPRdD2hURQF/v7+1h4GlYBt5GIbmdhFLraRi22IbIPudzmLi4vjUrNAbCMX28jELnKxjVxsQ5YyWOlCltH1hIaIiIiIiCo33e9y5uvra+1hUAnYRi62kYld5GIbudiGLMb30Iim6xUaVVURGxvLpWaB2EYutpGJXeRiG7nYhsg26HpCAwD29vbWHgKVgm3kYhuZ2EUutpGLbYgqP93vcubt7W3tYVAJ2EYutpGJXeRiG7nYhiymAQbuciaWrldoVFVFTEwMl5oFYhu52EYmdpGLbeRiGyLboOsVGgBwcnKy9hCoFGwjF9vIxC5ysY1cbEMW4UEBRNP1hEZRFHh5eVl7GFQCtpGLbWRiF7nYRi62IbINut7lzGQy4dy5czCZTNYeCv0L28jFNjKxi1xsIxfbENkGXU9oDAYD3NzcYDDwXKzSsI1cbCMTu8jFNnKxDZFt0P0uZzVr1rT2MKgEbCMX28jELnKxjVxsQ2QbdL1CYzKZcObMGS41C8Q2crGNTOwiF9vIxTZkMc1KF7KIric0iqLA09MTiqLrb4NIbCMX28jELnKxjVxsQ2QbdL3LWeG+syQP28jFNjKxi1xsIxfbkMV42GbRdP2ShMlkQmRkJJeaBWIbudhGJnaRi23kYhsi26DrCY2iKPDx8eFSs0BsIxfbyMQucrGNXGxDZBt0v8uZi4uLtYdBJWAbudhGJnaRi23kYhuylOF/l4q+T7KMrl+SMJlMCA8P51KzQGwjF9vIxC5ysY1cbENkG3S9QqMoCgICArjULBDbyMU2MrGLXGwjF9uQxXhQANF0PaExGAxwdna29jCoBGwjF9vIxC5ysY1cbENkG3T9koTJZEJYWBiXmgViG7nYRiZ2kYtt5GIbItug6xUaRVHQsGFDLjULxDZysY1M7CIX28jFNmQpAwBDBe8CxoMCWE7XExqDwQBHR0drD4NKwDZysY1M7CIX28jFNkS2QdcvSZhMJpw4cYJLzQKxjVxsIxO7yMU2crENkW3Q9YRGURQEBgZyqVkgtpGLbWRiF7nYRi62IbINun8GG41Gaw+BSsE2crGNTOwilx7aqKp61+8jLS0Nu3fvLtdt3qpNZGQk/Pz8yvU+qRLSrHQhi+h6QqOqKsLCwirklzCVDdvIxTYysYtcemgTHh6Oe+65564/xtDQULz22mu3ffsHH3wQW7ZsMf9bD22I9EDXExpFURAUFMSlZoHYRi62kYld5NJDm+bNm8PNzQ2bN28GAERFRWHSpEmIi4szXycnJwcJCQl3dD8HDhzAAw88gLNnz+Lo0aNlvr3RaER+fj6SkpJw6tQpbNmyBfXr17fpNkR6oOujnAEFbwjkLzKZ2EYutpGJXeSyxTZ5eXnIz8/HtWvXEBcXh7Zt22Lq1KmYO3cukpOTMXTo0CJvtj98+DCGDBmCy5cvF9tWRkYGDhw4gN69exf72qOPPoqTJ0/CaDQiLi4OBoMB+/btw6BBg9CmTZtSx5eTkwMPDw9UqVIFVatWhaIoSE5Oxp9//glvb2/UqlULderUQdu2bVG9enUAwIsvvoj169cX2Y6qqrh27Rrc3NyK3cf8+fMxYcIES79lVJlZYxcw7nJmMV1PaFRVRUREBIKCgnSxf3NlwjZysY1M7CKXrbbp3bs3jh49CldXV9StWxeNGjWCo6MjHn/8cYSEhBS7vp2dXam7dl29ehWjRo3Cxo0b8eCDDxb52po1a5CZmYmrV6+idevWuHz5snkCcjMODg7IyMiAyWRCfn4+DAYDhgwZgmHDhmHEiBEA/v/Emj4+PjAajVixYgVWrFhRZDtnz55Fjx49EBMTY+F3hogqmq4nNEajES1btrT2MKgEbCMX28jELnLZapu9e/cW+9zvv/+OYcOGYfz48cUmHdWqVcO1a9dK3Ja/vz9WrFiBkSNH4uTJk3BxcTF/zc3NDW5ubvj555/RpUsXVK9eHcePH8dHH32EkydP4tKlS8jPz8fMmTPx4osvFtlubm4usrOz4ezsDKPRiKpVqyIuLg4HDhzAuXPn4O3tjeDg4CK32bBhAyZNmmT+t8lkwpUrV+Dt7V3kep999hn69u1r2TeLKj2DZoUTa3KFxmK2tf5dRpqmISsrC5rGnxhp2EYutpGJXeTSU5sOHTpg0KBBePnll4t9rWbNmsjOzkZWVlaJt33sscdQv359vPfeeyV+ffPmzXj00UcBAFWqVEH79u2xfPly7N+/H4cOHcLTTz9d7DaHDh1C8+bNUatWLXh5eWHbtm348MMPMWfOHPzyyy/IzMws1iYrKws9evTApUuXcOnSJfz++++oU6eO+d+XLl1C+/btkZ2dXebvDxHdHbqe0KiqirNnz/LoJgKxjVxsIxO7yGXLbWJiYjB27Fg0b94cfn5+aNGiBVJSUvDtt9/i888/L3LdWrVqwc7ODrGxsaVub/r06VixYgVycnKKfD4tLQ0//fQTHnvsMQDAvffei7Fjx6JTp05o0KABAgICUK1atWLbe/DBB3HhwgUkJycjMTERY8aMwdSpU7Fnzx6sWbMG/fv3t9k2RHqi6wmN0Wi0uX2abQXbyMU2MrGLXLbaJjs7G927d0fnzp3x+++/Izo6Glu2bMHw4cPRtWtXHDhwoMj1jUYjmjVrhpMnT5o/t3PnziLX6d69O5ydnbFhw4Yin9+wYQM6deoET09PAAUHJLDEpUuX8MILL6Bp06Zo1qwZvv/+e/z6669ISkoyj8kW2xDpja4nNJqm4fr167rYDaCykdQmICAAp0+fLvPtWrdujX379t3x/aekpODNN98U8wqipmmYNGkSZs2addvbsPSPEen+/PPPYif5++eff6BpGs6cOYOMjIwiX8vOzkZoaCgAmPfHX7lyJfLy8nDo0CGMHj36tsci6TlT6KeffkL//v2tPQyrk9imPJw+fRqKouDpp5+Gi4sL7O3tUa9ePfTp0wfbtm0rtkIDAA8//DB+/PFHAMDRo0fxxBNPIDc3t8h11q1bh8GDBxf53EcffWR+fly4cAGtW7e2aIyPP/44GjZsiN9//x2HDx/GgAEDcPz4cdSvXx+jRo1CfHx8mdqkpqZCVVVcv34dBoPBotsQ0d2n64MCqKqKmJgYNG3alK/OCHOzNqNGjUJAQABmz55tncHdJVu2bMH+/fuxbNky8+dOnTqF/fv3IysrCxMnTsSHH35o/lrr1q2RlZUFR0fHYttKSEjAuHHj8Oabb5Z6f/v27UNERESxN9H+23vvvYfU1FTzv1VVxf79++Hq6lqsQbVq1fDKK6/cdHt//fUX+vTpg2PHjqFGjRo3ve6dCggIwJo1a9C1a9e7sv2pU6cWmYTk5OSgS5cuOHbsGLZv345Tp05h9erV5q/n5uZi+PDhOHXqFADg4MGD+PDDD/H888/j9OnTFk9aS2pX2nOm8HCzpb0p/e+//8aOHTvwwAMPlHp/H3/8MRo3boxu3bpZND4AOHHiBB5//HEAQMOGDQEUvO9hz549qFOnjsXbsQW2+v+awMBAZGdn47XXXsOoUaPg7+8PJycn8+GcnZ2di93mxRdfxH333YcffvgBH374IV588UXY29sXuU7Hjh2L/HvPnj2Ii4vDwIEDAQB16tSB0WjESy+9hBdffBG1a9dGTk4OLl26hIYNGxa535ycHNjb28PFxQUmkwkxMTGYPHky+vfvjxkzZqBZs2ZYuXIlhgwZYlGbUaNGYceOHahRowbuvffe2/m2USXFgwLIpusJjdFoRPPmza09DCrBzdrk5uYW27+6JFWq3PrHe+TIkVi1apX5361atcK1a9eKnC8iKysLAwcOLPI/u/T0dKxZswYPP/wwAODZZ5/Ftm3bih3V59lnny12nzt37kSjRo2Kff7w4cPF/qD19/fHt99+i7Fjx5b4x+4jjzwCX1/fYp/fs2dPaQ/ZLDQ0FFeuXLnl9Ro0aIDr168X+VxgYGCJ1y1pcnWjjIwMDBkyBGPGjLnrkxnAsp+V/fv3o3v37rfc1ueff25+03Hhq735+fl48MEHMXLkSKxduxbr1q1D9+7dUbVqVUycOBFt27bFypUr8fzzzwMAXFxcMHbsWJw5cwZAweFgCyeFf/zxB/Lz87Fr1y7zfQYFBZXYt6R2N3vO2NnZ4cknnyzxa//5z39u+djXr1+PiRMn3vJ6hX744QdMnjwZu3btMp8n5JVXXsGZM2dKnMxkZmbi+vXr5t2JbI2t/r/GyckJBw8exNy5c9GnTx9cvHgR+fn5AIAnn3wS69atK3abevXqYe3atXj++efRpk0bvPHGG7e8n23btuHFF1+Eg4OD+XPff/89Jk+ejA4dOiAtLQ2KosDDwwOhoaFFvteff/45Jk+ejAULFiA3Nxft27fH008/DVdXV3zxxRc4ePAg2rdvX+T3e7du3RAUFFTiWLZs2WLpt4eIKpCuJzSapiEjIwPVq1fn0rEwN2uTmZlZZMWgNCaTCRcuXICfn1+JX58/fz7Onj1b5HNXrlzBvn37EBAQAAAICQnBfffdh2HDhmHRokXw8PDA2LFj0atXr2K7SSxZsgSjRo3C5s2bERkZiddffx0AsHz5cnh4eOCJJ5646Xj/+9//Yvz48eZ/r1+/Hp9//jnWrVuHAwcOlHgEnyZNmphf/b5RWFhYifdx7tw5mEwm+Pj44O+//8aDDz6Iq1evIikpCdWrV0ft2rWL3aZfv34AgJkzZ2LHjh0ACr63N/4B0L17dyxZsuSmjy8nJwePPfYY7r33Xov+iCkPlvysaJqGgICAYj8LN+rRo0eRCaWDgwPmzp2L3bt3IyQkBN26dcPFixcxd+5c7N27F/fccw9OnDiB77//Hp06dYK3tzcGDBiAwYMH4+zZs/jxxx+RkpJiXo1LSkrCb7/9hpo1a+LDDz/E0aNHUb9+fcyfP988oblVO29v71KfMzc7bHBJb6QGgJMnT8LV1dV8f02aNEFiYiISExNLfQN2TEwMXnvtNZw5cwaKoiA8PBxt2rTBO++8g127dhV7T0WhTZs24aOPPsLhw4eLfS0pKQnh4eF3bZWtItjy/2v8/f3x2Wefmf+dk5MDTdNQtWrVUm8zYMAADBgwwOL7eP/994ucoBMoWH3dvHkzACA/Px9Go7HE723Tpk2LvU/nRh07dizWxt/fH/7+/haPj3SCJ9YUTdcTGlVVER8fj0aNGtnUbgC24GZt4uLikJ6eflfud+TIkTh69CjS09MxZMgQ/Prrr+jevTsMBgM+/vhjrFy5Ehs2bED//v1Rr169Ird9/fXXsXjxYqSlpSEnJwdr164FACQnJ6NKlSqYN28egIKJSqtWraBpmnlSFR0djUOHDuHEiROYOnUqXnrpJUyePBkrVqzAsmXLsHz58mJjDQgIwIoVK0o8+3heXl6JZ9DeuHEjvvnmG8TFxSElJQXff/89pk+fDi8vL8yaNeumk67o6GiEhIRg4MCBOHPmjLnN9u3bsWbNmpt+X69du4bHHnsMXl5eRXbBupuuX7+OtLQ0REVFlfu2W7Vqhe+//x7jxo1DtWrVMHToUPzxxx+YPXs2/v77b7Rp0wYpKSlYu3Yt9uzZY55Ub9q0CfHx8Rg7diyioqIwePBgjBs3DlevXsX48eORlpaGatWqoUOHDli1alWRlbBbtRs+fHiJzxlFUVCnTp1SdwXMycmBk5NTsc8vWLAAYWFhiI+PR3p6Otq0aYNq1arBx8cHGzZsQLNmzYrdxsHBAW3btsWXX36JuLg49OzZEx9++CFycnKwe/fuEs+0Dtz8hIsXLlzAY489ht9//x2NGzcutYlkevp/zY2rKOXpZt83S1bjS2NJm4YNG/KkmlQppKenIyQkBD/++CNUVYWnpyfefPNNDBo0CEDB7/tZs2Zh06ZNyMzMRJs2bfCf//wHPj4+5m3ExcVhypQpOHz4MPLy8jBs2DAsXry4yK6hhw4dwquvvop//vkHDg4OeO211zB27NgKf7w30vWExmg0omnTptYeBpWgtDaqqiI6Ohr29vbIyckp9/95zpkzBz169MD8+fMRFxeHWrVqYe3atRgyZAi+//571K5dG+3atcNPP/1U7A+6xYsXY+TIkVizZg1OnDhhPpfCm2++CW9vb0yYMKHI9Q0GA4xGI7p3747mzZsjJycHR44cQWxsLO655x4MHjwY3377LZo3b45HH30UDz30EICC3ckuX75sPh/DzXz55Ze4//77zWMNCQkxn8Hb3d0dJ06cKNMrkdOmTcPixYuLfC4tLQ0tWrQo9TYpKSkIDg5Gly5d8M4771TYK9RRUVFwc3PDb7/9dle27+bmhsTERHz22Wfo2rUrjh07BkVR8MADD+Ddd99F3bp1sXfvXlStWtW8Wvfhhx9i5cqV+Prrr9GjRw+0adMG/fr1w/333w9VVc3vAYiJiUGDBg2K3J8l7f79nPnyyy8B4JYrYhEREYiIiMAjjzwCd3d3AMC3334LoOB9XI8++iiio6Nv+T2pXbu2eeJ0+fJleHh4oH79+pgzZw769euHb7/9tsQVxZudcLFVq1aYPn06nnrqKRw8ePCO/ni1Fv6/Ri62IVsybNgw1KpVC+Hh4ahWrRpCQ0PRr18/+Pn5oW3bthg/fjzOnTuHY8eOwdnZGSEhIejduzeOHz8Oo9GI3Nxc9OzZE3369MH69euRkZGBRx99FFOmTDG/hzcqKgrBwcFYvXo1Bg0ahL/++gvdunVDjRo1ih3MoyJVvv8zlCNN05CWlgZXV1eb2w2gsiutzYkTJ9CsWTN4e3vjxx9/NL/qUF7+/vtvREVFoW3btgAKJg+jRo3Cl19+iVq1amH58uWYN28enn32WRw4cMA8NlVVi6yUbN261bwLU1RUVJGzTt9o+vTpAApWhgp/Efj7+6N58+Y4ffo0+vfvj2nTpmHSpEn4888/YTQace3aNWzduhV5eXno3r07Ll++jPXr12Py5Mkl3seN7yE5d+4cUlJS4OrqiszMTHh5eSEpKQmxsbFo1arVTZ8Hn3zyCXJzc6FpGtLT0+Hi4mK+/r/f1HujZcuWwWg04t133y31OnfDvn37MG7cOKxduxaXLl0qdpbvO/H0009j+/btCAwMxHfffYdatWphyZIlSEhIgI+PD7Zv344jR47gueeew6JFizB27Fh4eHjAzs4OP//8M06dOoU2bdogODgYwcHBaNeuHZ555hn89NNPcHJyQtWqVYtN1m/VDkCx50xqaipWrVqFnj17wt/fHwcOHEBqamqpZze/cbeeY8eOwc7ODidOnEDDhg2RlZWFK1euIC0trcT3UGmahvDwcPz000/YsGED7O3tsXDhQjRt2hR9+/ZFWFgYevToAaBgMv/111+jffv2AApOuHiz93NNmjQJn376KdavX1/irpfS8f81crEN2ZJ169ahevXq5v9/dOvWDQ0bNsTBgwfh7e2N1atX4+jRo3B1dQUALFy4EGvWrMGOHTvQr18/bNy4EYmJiVi4cCGMRiPc3NywdOlSdOzYEbNnz4aHhwfeeecddOnSxfz3V7NmzfDqq69i0aJF+pzQ3GpZDCh442tISAji4+OhKApGjBiBuXPn3vSPp7JQVdW8/7mt7wZQ2ZTWZt26dXjkkUcQFBSEOXPm4NFHHy1xl6vbtWXLFkyYMAE5OTlQVRUvvfQSduzYgaZNm2LLli04deoUFi1ahI8++ggnT540vy8hLy8PdnZ2AIDBgwcX29+/Zs2apd5n4QRl0aJFRT5fuAvOpEmTcODAAVy5cgWenp4YOHAg4uLisHr1ahw6dAjp6emoXbs2tmzZgkuXLhXZxoQJE4q8d+L48eN47733EB0dDZPJhLp166J69erw8/NDaGgo3n//ffTt27fI6sCaNWswderUIm/mLml1LC4uDvPmzcMLL7xQ5PMTJ07Ed999h6lTp1bopGbdunX46KOPkJOTg7feegtLly4tt22vXr0aRqMRISEhaNCgAfr37w97e3vzSlXXrl0xefJkDBgwAEOHDjUfLKHw4ACbNm0qsnvf+++/j3r16uGRRx5B9erVSzya2K3aLV++HPfeey+6du1qfs5MmDAB+/btw+nTpxEfH4/z58+jadOm+Pjjj4ts22AwYPXq1UXelL9582bs3LkTZ8+eRW5uLurXr48aNWogODgYc+fOxTvvvIMZM2aYV0xyc3Px5ptvomnTplixYgXuv/9+/Pjjj+jQoQNee+018/vDtm3bhunTp+O+++4z31edOnWQlJSE7OzsEt97UaVKFbz66qtYtmxZpZzQ8P815U9VVWRmZsJoNKJq1aq3PRlhG7IlHh4e5o+zs7Oxdu1aREZGonPnzti/fz9q1aplfgEMKHgxMjg4GDt37kS/fv0QGhqKhx9+2Pz3DFCwSu7u7o7Q0FAMHToUoaGhmDZtWpH77devH6ZOnYrExER4eXnd/QdaAqtNaG61LHbo0CE88cQT2LJlC9q1a4f4+Hj07dsXDzzwQKmvLpaV0Wgs8WhTZH0ltYmJicE333yDsLAw1KxZE++88w7efvvtYk+s25WTk4OWLVti06ZN6NGjBx566CHExMSgffv2qFWrFvz8/DBjxgwoioIDBw4U+YM+NTUVLi4uaNmyJc6cOYOaNWvCxcXF/PW///4bs2bNKnHXnzVr1qB79+5F9mFNSUkx/2JydHTE9u3bi92ub9++GDduHM6ePYuQkBDs3LkTHTp0wHfffQd/f3906NCh2O49Q4YMwZAhQ7B161Z88sknxbYbFxeHZcuWFTk8NAAMHDgQn332GT7++ONikyYfHx8899xzxXapK+Tl5YVffvkFDz30EHJycvDBBx/c9VdCN2zYAGdnZ3Ts2BENGzZEUFAQBg8eXOxwsLcrKSkJM2fOhLu7O86cOYMvv/wSe/fuRVpaGv7++28899xzeOGFF9CuXTvk5eWZJ4PBwcGIjo7GxYsXceDAAUyePBmqquKJJ57A0qVL0bhxY0ybNq3E9xndql1CQgLOnTtX4hHbJk2ahBYtWuCLL75Aeno65s6di0GDBuHIkSNISkpC69ati+3iNn/+fMyfPx9TpkyBj49Psffg7Ny50/x9BQreO7FlyxaoqoodO3bg4YcfxqVLl+Do6GiepPz111+YOnUqNm/eXOT54+fnB1dXV5w6dQpt27ZFVlYWjhw5gi5dupiv8/jjj+Pll1/Gr7/+igcffLAsuayO/68pH5qm4fjx49i2fRt+P3oA+aY8GAxANWcX9OreB4888kiZ38zPNmQxTSu4VPR9AsXeN+zg4HDTXe7r1KmDuLg4tGjRAps2bULr1q2xd+/eIn9nFCo88AtQ8DfAPffcU+w6vr6+iIuLM1/n39sp/HdcXJzVJjRWO7HmunXrsHLlSvORcm5cFgMK9tV/5ZVX0K5dOwAF36yjR4+W22QGKHhlJiUlRcwJC+n//btNVlYWRowYgZdffhkeHh4wGAxYtWoV3nrrLfP7BO6Upmnw8vJCamoqJk2ahB9//BHh4eG4//77sWnTJhw4cADBwcEYOnQojh07VuS2586dQ+3atXHixAls3boVXl5eCA0NxenTpzFlyhQ0b968xF3CcnNz8e677xaZDFy7ds38SvrNfPHFFxg8eLB5dzY7OzvMmjULo0aNwooVK+Do6GjexeffUlNTS3yD9gMPPIAjR46Uep8ff/wxunTpgl69emHo0KHo3LkzPvnkk5uOEyg4ieQvv/yC0NBQjBs3rtTrpaWl3fFBA86ePYtJkybh7bffBlAwofrwww8xYMAA8/lf7lR0dDQuX74MAGjUqBEiIyNx5coV8/k1MjMzsW7dOqSmpiI4ONh8ItHdu3fj8ccfx4wZM3D69Gn06tULK1euNK8eBQcHIykpCR06dCj1vktr17FjR/z3v/8t8ffZtGnTMHjwYHOrunXromvXrpg5cyamTJmCsWPHlnoY7bL+rOTn52Pbtm0YM2YMTpw4gf3792PlypV44okn8Mgjj2DlypXFDmFsMBjQo0cP8wkXt2/fXuz8SE5OTti2bdtNvzdS8f81dy46Ohpjxo7GlDcm4I/Yvbj3UU90ebYhHhhVH74d7bBx72qMev4JzJk7u9hh5m+GbagyqFOnDlxdXc2Xf+/R8W8XLlzAlStX0K9fP6xduxbXr1+HnZ1diXu0GAwG84llb/c6hS9SWvPkwVZbobnZstjVq1fx22+/Fdst4lbLwTk5OUXeL1A4oy38RVX4X0VRoKoqTCaT+ZX1ws+bTCYYDAbzx4qiwGAwlOnjwvu68WOj0QhN08r0saqq0DTN/PGNYy/Lx5XxMd3YJikpCY8//jh8fX0xdepUAAX7+tevXx8bN25Ev379EB4ejjlz5sBoNJrHDqDENyAXMplMGDFiRJEnacuWLeHk5GQ+l4KmaeavFz6OK1euICcnx3zo4pSUFJw/fx5NmjSBqqp46KGHsGTJEnTv3h3t2rVDREQEfvrpJ/Or1Dc+1o8++gi1a9dG165d8cEHH+Cxxx7D119/jZYtW5p3Uyutx7hx4zBx4kQcPHgQM2fOhKZp6Nu3LzZv3oyJEyfi5MmT5jH+u4eHhweio6OLfT4hIQHOzs7FOt34S2rSpEnQNA329vbIy8uDvb19keuU9rPn6emJXbt2oW3btnB3d8eCBQuK/bxFRUVh4sSJSExMxCuvvFLmn72TJ09i4MCBmD59Ojp06GD+/JAhQ3DmzBk88MAD+PTTTzFkyJAiP2/R0dE3PcxsXl4eRowYYe5x8uRJ1K9f3/y4g4KC8N1336F+/frmMXbv3h3vv/8+mjdvjvXr12PkyJHIz89HTEwMTpw4AZPJhEOHDuHjjz+GyWRCUlISpk2bhlatWmHo0KH44YcfUKVKlWKP1cvLC+fOnTPfT2GnS5cuwd7e3nzdwsenaRo++eQTNGvWDMuWLTP/jlywYAHuv/9+ZGRkYNWqVebv8b9/3ry8vMy7ud34+cuXL6Nx48bFfkfY2dnh448/Nm9P0zTcd9995vfW3H///UWeT4WPb+LEiRg0aBA6duyIefPmmVevbuz04IMPVsrfeyaTCVeuXIGbm5vufpeXx2MKDw/H6zNeA2qmY+CrbeFdvwYMigFQDYBBQzMAnfoGIep4LH75+kckvp6IJQvfMv8u+/fYU1JS4ObmZh77jW00TUOnTp3w/vvvo3Xr1lAUBc8//zxatGiBF1980aLH5O3tjV9//bXI80MPne7kMf37sNxU1IULF4rs9WHJAZHc3Nwwd+5cdOzYER9++CECAgIQHx9f7Hrx8fHm0wP4+fnd1nUK/13SedMqitVWaArVqVMHTk5O+Pjjj83LYufOnYOmacjMzETv3r1Rt25d8640N7No0aIiM9jC3TwKl8kSEhKQkJAAALh48SJSUlLQoEEDxMXFITk5GUDBbk1Xr14FUPCKUFpaGgDgzJkzyMjIAABERkYiMzMTQMHRgbKzswEUnPsjLy8PqqoiLCwMqqoiLy/PfE6Q7OxsREREACg4P0ZkZCSAgpMNFp5oLy0tzXw0oatXr5oPFZmcnIzY2FgAQGJiIi5evFjiY0pMTAQAxMbGVurHlJiYiAYNGpjfF+Dp6YkFCxaY3zhc+Ji6deuGVatWYdWqVXjggQcQFRVlfkxAwRGasrOzcfToUVy9ehXZ2dnm953MmjULaWlpxR6TyWTCCy+8AG9vb3h7e+PIkSPo1auX+d+//fYbrl+/bn5MH330ETp27AgnJyckJyfj6NGjOHr0KLKysvDPP/8gOTkZr776KlavXo3o6GhcuHDB3Gn79u3mXeZ+++03BAQEYO7cuXj55ZdL7bRw4UIsWLAA77zzDrp27Yr//Oc/yMzMRHZ2Nj7//HPs3bsXY8aMwYABA7BgwQJkZ2cX61SzZk38888/mDt3Lo4cOYJr165hy5YtmD17tvkwwoWdrl27Zj4CVX5+Pj799FOEhYVh69at2LlzJw4cOICLFy8iPT0dBoPhpj97Li4u2LJlC959912sXLmy2M+eo6MjvvrqK7z55pv4+OOPLf7ZS05OxgsvvIAuXbpg7Nix5hOe3viz9/zzz2Pq1Kl46qmnMH78ePPPXmpqKvz9/ZGdnY1z587h3LlzyM7Oxt9//42YmBhkZ2ejU6dO5jHGxMQgLCwM7du3R2pqKrKysrBp0yZERkaidevWAAr+53P16lUsWLAAPXr0wO+//w4AOH36ND777DOMHz8eS5YsQXp6OhYuXIgff/wRPXv2xPDhw7Fy5Uo4ODigc+fO2Lt3b7HnU2BgIKKjo7FkyRKcPXsW4eHh2LNnD+bNm4cnn3wSRqPR/HwaNmwY9uzZg6FDh2LgwIHYsWMHrl+/joyMDEycOBEODg6499570aVLF3z//ffQNK3Y74jg4GB8/PHH+M9//oPExESkpKRg7ty52LFjB5566qlivyNiY2OxZ88evPLKK+jduzdatmwJg8GAsLAwNG/evNTfEd7e3pg3bx5GjBiBJk2aYMyYMTbzey89PR2KosBoNNrMY6qo/z8lJydjy9bNcKtfBUNe6YI6VYNgMBXs318lzhcwGQHNAIfL/ghsWw9DX30Itf08MW/+XPzzzz/YsGEDNmzYgNdffx0PP/wwvLy8EBQUZN4b5Nq1a4iOjkaLFi3QvHlzNGvWDKdOncKwYcPQrFkz3HPPPfj2228xd+5c3HPPPQgMDDQfNKa0x2QymcyPQy+d7vQxFT4OyQyadS5AwUmZb7yUNKFRVbXE3dM9PDyQkJCAbt26ITExscieCvn5+QgNDUWvXr0AFOwlsGfPHvOLugAQHh6OpKQk83s7g4ODzeekK7R79260bNkStWrVuuPv8+0yaNZcH/qf1NRULF26FBEREVi7di1Onz6N9u3bo2/fvli+fDkCAgLw888/Y+DAgfj666/NJ/r7t5JWaOrUqYOrV6+W+MpY4Ssz7u7uUBRF16+ASXtMhW2+/PJL1KxZEyNHjrzpY0pOTkZUVBQ6depkHnvhYWMLXyG19DGNGjUKDz/8sHn15t+PIzg4GG+88QYefPBBGI1GTJo0CYMGDUJkZCQWLVoEd3d3DBkyBKNGjUKtWrWQlpaG9evXY/fu3fj999+xd+9eBAUFldgpLy8PVapUMT+2knpcvXoVRqMRLi4uUBQFUVFRGDNmDIxGIzw8PLBs2TL4+/vj8OHDmDFjBubNm4d27doVexwREREICQnBsWPHkJubi2bNmuGVV17BwIEDi3T6/PPPcfDgQfOr+P9+3jz33HPYsmULcnNzsXv3bvNuojf72St8b1zt2rVLbLNw4UK0adMGPXv2tOhnLz8/H5MmTcKoUaPQunXrm/7snTx5Ei4uLqhfvz4URUFOTg6uXbuGmjVrWvx8Agr+aHnzzTfRrFkzjB49GnFxccjLy8Px48fx7LPPwmQy4eGHH8bXX39tPunfV199hQULFqBevXpYtmwZqlevjp9//hlLlizBwIEDMXv2bPOYx4wZg+DgYDzxxBPFfg5PnjyJN954o0i7qVOnomPHjkX2X7506RJcXV3h6OgIRVGwYsUK/Pnnn9i5cycef/xxzJ07F46Ojvjyyy/x+eef4/vvv0f16tWL9di6dSsWLFiAM2fOwNHREW3btsWcOXPQokWLYs+nuXPn4qeffkLbtm3Ru3dvdOvWDUajUde/9/Lz85GcnFykTWV/TBXVafXq1fh6x2d4ck5XVK3mYF6VgQH//zEAaAUfX/g7EbMGf46crDz4+viifv36iIyMRIcOHTBs2DAEBQWhSZMmAGD+f0NSUpK5jaZp6NOnDxYtWoQWLVpAURRMnToV99xzD0aPHs0Vmrv0s5eamgp3d3ekpaUVWYmQID09Ha6urpgw90s4VC1+zq67KSc7Ex/OfNKi78vly5fRokULjBs3DiEhIXBwcMDu3bvRv39/bN++HT179sTzzz+Pc+fO4fvvv4ezszNef/117NixAydOnECVKlWQn5+Pli1bol+/fpg/fz6uXbuGgQMHonHjxua9ps6ePYv7778f69atQ//+/REVFYWHHnoIS5cuxfDhwyvi21IiEROaQh07dsSAAQPw9NNPw8fHBydOnChyfotx48YhOTkZGzdutGh7hT+Epf0gqKqK2NhY+Pv7m59gJENlalP4CzotLQ0mk8l8Ho+Kdv36dTg7O9/1+ympjaqqMBgMPOzpLRTurli7du0iny88DPadKMtzpqJ+VqhAZfp9Jklubi5GPDUUHq01PDS01a1v8D95OflYPz8UDwb2RUjI6+jbty/69u1b7AiMQNE2qqri7bffNp83atq0aXjttddQs2ZN/P333/jmm28wc+ZM823Xr19f7L1eQMHzuVq1asVa9+rVC998843Fj0NPbvX3mjVVlgkNULCSFhISgt9++w2apqFWrVp47bXX8PjjjxdsLycHISEh2LhxI0wmE9q2bYuPPvrIfPJnoGCVbvz48Th69CgURcGQIUOwePHiIqtCv/32G6ZMmYL4+Hg4OTnh1VdfxXPPPVf+34AysMp7aFS14Cg4/36Df+GymLe3Nxo2bFhktaVQeZ5IUVEUBAQElNv2qPxUpjaF/9MqPK67tVTUH6glteEfaZYpbbJbHv8DL8tzhpOZilWZfp9JcujQIVxOjUePrmU7qp2dQxXc07Uuftm8F+MzSj76YiFFUXDx4kXMnj0bJpMJ33//PaKiogAAP/74I86fPw8nJyckJSXhxIkT5l25li1bhhEjRpjfW3cjPz8/HDhwgM2pwgUEBNx00uzg4IBly5Zh2bJlpV7Hz88PP/zww03vp3Pnzjh69Ohtj/NusMqEJikpCc8++2yxZbHdu3dj+/btMBgMmDVrFl544QVs3rwZdevWxb59+/DVV19h8+bN5TYOVVXNx8zmH2SysI1cbCMTu8jFNrfn0qVLcKimoIZX9TLf1qe+B47kxSApKemm11NVFTVr1sTEiRORn5+Pn376CS+//DIAmHcf9fLyQlhYGFJTU81fKzxC64ULF9CmTZsi20xKSkKbNm2KHMjomWeewcKFC8v8OEgOg1pwqej7JMtYZUJTq1YtHDp0CCEhIahfv755WWzNmjXmfeaffPJJZGRkoHv37sjIyIC3t7f5fB3lKTc3t1y3R+WHbeRiG5nYRS62Kbvc3FwY7co2AXyq8TwAgAbAlK+iWbNmyM/Px+7du82TkULt2rXDL7/8AmdnZzRp0gS5ubnmo10CwP3334/p06ebr9+xY8ciJyoGCt5LV6VKFfMb7IHiKzTvvfcezp49W6bHQURlY7XDNt9qWQwoeM/Mzc5ZcacURSnzSbioYrCNXLbQZsOGDUhOTsaYMWNuerjmysQWutgqtrk9zs7OyL6eV+SN5Ley7u8ZAIDYyMvY8d4pfPHJ1xg3blyp76EBUKTNlStXiryx+cZD/ycmJmLUqFFYs2bNbTwaIrqbrDahkUBVVSQkJKB27drcDUAYtpHLFtrExsYiJCQES5YswaxZszBy5EhUqVK5fx3aQhdbxTa355577oGS74DzYQlo0KJs57eIPPoPanv4FjsAx7/d2KZq1arm98gAwNixYzFixAg89NBD5s+xn45p/7tU9H2SRSr3/8GJiG7Dq6++iv79+2PWrFl49tlnsWTJEsydOxdDhw7lHyxEQjRq1Aj3NrkPJ36JKNOEJicrF2cPJ+KFEU9a9ELFiRMnEBwcXORz8fHxuHr1KrZv3w5fX7l8ALMAAEPmSURBVF+4ubmZv+bg4IBjx47dcrsZGRlwdHTEtWvXeARIortM1//nVhQFvr6+/ANGILaRy1baNGnSBN988w3+/PNPNG7cGI8//jjuu+8+bN++HYKOZm8xW+lii9jm9vXv9yguRV7D+dPFz15emgNbwuAIV/MJdm9GURT06dMHp0+fxunTp3HkyBEMHz4cgYGBeOCBB/D666/DxcUFw4YNQ2hoKE6fPm3RZAYAPv30U1SrVg2LFi3CAw88YPH4SSaDlS5kGV3/di08/nzhyaNIDraRy9batGzZEtu3b8fBgwdRo0YN9OvXDx07dsQvv/xi7aGVia11sSVsc/u6du2Kbu17Y+fHx/FPxKWbXlfTNBzYcgp/70vGhOdfRs2aNW+5fVVVERMTgyNHjmDatGm47777oCgKQkNDUatWLTz44IM4cuQITCYT7rvvPvTo0QOLFy82H+TBy8sLq1atKnHbU6ZMQXZ2Nq5fv45hw4aV/cETkcV0PaEBAHt7e2sPgUrBNnLZYpvCScxPP/2E/Px8dOvWDT179sSRI0esPTSL2WIXW8E2t8doNCJkWgi6tOqFHz84jh2fH0J8dHKRVVRTvgmRR//Bhrd+QfiuRIwfM7nYee5u5syZM5g2bRrq1q2LP/74A9OnTy/Sq1q1apg9ezbOnz+PyZMnw9XV1fx1JyenYrurEVHFM2iVcd8KC0k+8ywRyaVpGrZs2YIZM2YgPDwcAwYMwLx58xAUFGTtoRHpUn5+PrZt24bNW7/DPwln4exlhKOrPTQVSL+cBfW6HVq3aI8hjw0tdl4Ykk/y32uFY5s4cx0cqjpV6H3nZGfi/blPify+SKPrgwIU7gbg7+/PfZuFYRu59NDGYDBg4MCB6N+/P77++mvMmjULLVq0wIgRIzB79uwih3KVQg9dKiu2uXNVqlTBwIEDMWDAABw/fhxHjx5Feno6qlSpgpptauKhhx5C3bp1y7xdtiGyDbqe0AAFy8UkE9vIpZc2RqMRTz75JIYOHYrPP/8c8+bNw4YNG/DMM89gxowZ8PPzs/YQi9BLl8qIbcqHoiho3bo1WrduXW7bZBuyCA/bLJquX45QFAVeXl58VUYgtpFLj23s7e3xwgsv4OzZs1i8eDG+++47NGzYEFOmTEFSUpK1hwdAn10qC7aRi22IbIOun8Emkwnnzp2DyWSy9lDoX9hGLj23cXR0xNSpUxEdHY3XX38dn332GerXr4+ZM2ciLS3NqmPTcxfp2Eauf7eJjo7G+++/j6dHP4PHhg7Hk6NGY+nSpYiKiqqUh3Mn0gtdT2gMBgPc3Nx4wiuB2EYutgFcXFwwa9YsnD9/HuPGjcPbb7+NevXqYcmSJcjMzLTKmNhFLraRq7BNamoqXp02DU888yxWb/kRF7SqyHD3RZzBCet+3IORz43Dy5On4PLly9YeMhGVgEc5IyK6Q/Hx8Zg/fz4+/fRTeHh44M0338TYsWN5qF6iSiAlJQUTJ09B+IUENOjYDV71G0FRjOava6qKpH+icfa/oWhQ0wUfvLcMtWvXtuKIbY/kv9fMRzmbYaWjnM3jUc4soesVGpPJhDNnznA3AIHYRi62Kc7HxwcrVqxAVFQUHn74Ybz00kto0qQJ1qxZg/z8/AoZA7vIxTZy5efnY82atYiKT0SrgU/Cu2HTIpMZADAoCrzqNcT9A5/AuZR0vDlzFlvqkEGzzoUso+sJjaIo8PT05JsBBWIbudimdPXr18fatWsRFhaGVq1aYfTo0QgKCsKmTZvu+lni2UUutpHrr7/+wq+HDqNh54fhWP3mr4A7ODkjsEdfnPwrCn/88UcFjZCILKHr367cr1kutpGLbW6tefPm+O6773D06FHUrVsXQ4YMQZs2bbBz58679sZidpGLbeTa/uOPuJB6De51Aiy6vlstHxhca2Lrtm13d2Akj2alC1lE1xMak8mEyMhILh0LxDZysY3lWrdujV27dmHfvn1wdHTEI488ggcffBC//fZbud8Xu8jFNnL9fuQoegcHQynDZNOrYTMcPHz0rq+6EpHldD2hURQFPj4+3A1AILaRi23KrkuXLvjtt9+wY8cOXL9+HQ8++CB69+6NY8eOldt9sItcbCOTpmlIS89AbOq1Mr0Q7uDkDJPJhKysrLs2NiIqG13/djUYDHBxceFuAAKxjVxsc3sMBgN69+6NP/74A99++y3Onz+P1q1bY/DgwYiIiCiX7VdUl7CwsDIf7KB9+/bYtWvXXRpRUdnZ2TAYDBV2QIZb4XNGJoPBgKpVHZCcllGm2+Xn5cFgMMDBweEujYwkMljpQpbR9YTGZDIhPDycuwEIxDZysc2dURQFQ4YMwenTp7F69Wr88ccfCAoKwqhRo3D+/Pnb3m5Fddm1axf69euH3Nzcct/2vn374OLignvuuafUS7169dC3b99yv++7ic8ZuYKaNUULr+pl+mMo+Z9zaNqoAapUqXLXxkVEZaPrCY2iKAgICOBuAAKxjVxsUz6qVKmCUaNGISoqCsuXL8euXbvQpEkTjB8/HgkJCWXeXkV0iYqKwujRo1G1alW0atUKTZs2Rb169aAoSrntPvfggw/i9OnTpV5Wr15dLvdTkfickatvnz44cugQ0q4kW3T9rIx0ZMX/g0f797/LIyNxeFAA0XT929VgMMDZ2Zm7AQjENnKxTflycHDAhAkTcO7cOcybNw9ff/01GjRogNdeew0pKSkWb+dudzl69Ci6d++OJUuWIDIyEpGRkQgLC0NgYCCmTp2K+++/HwBw4MABuLm5Fbv88ccfGDx4cLHPN2/evMj9/PrrrzddoXn22Wfh6Ohovv7ixYuLbdPb2xsA4OHhUexrr7322l35/twMnzNyderUCTWrOyNq/09Qb7GCpqkq/tr/E3w93dG1a9eKGSARWcSg3a1jiApwqzPPmkwmREREIDAwEEajsYQtkLWwjVxsc3elpqZi6dKlWLp0KYxGI6ZOnYrJkyejevXqN73d3eqSlZWFd999F2vXrkWnTp2QnJyMr776Cvb29hg+fDgCAwOxaNGiW26nffv2mD17Nnr16lXqdfbt24d33nkH27dvv6Mx5+fnw87O7q4dIrus+JyRy2Qy4bfffsPCt99FWhUnBD3cHw5OzsWul5uVhdOhO2CfehnvLl6I1q1bW2G0tutWf69ZU+HYXp6+Dg5VnSr0vnOyM/HewqdEfl+k0fUOoIqioGHDhtwNQCC2kYtt7i43NzfMnTsXEyZMwOLFi7Fw4UJ88MEHCAkJwYsvvlhkdeJGd6vLgQMHkJ6ejhMnTsDZ2RkbNmxA79694eTkhOHDh+PZZ58t1/srXKEBgNzcXKSnp8PDwwMAkJOTY34j9uTJkzFmzBgAwH//+18MGjSo2LYKV2oKzZo1C+PGjSvX8VqCzxm5FEVBu3bt8PbC+Zgxew7++PpTOPsGoHajQNhVrYq83BxcPhOJjAvR8HarjrkL53Myo1fW2AVMxmsylYKuJzQGg6HUPw7IuthGLrapGF5eXli6dCmmTJmCefPmYdq0aVi6dClmzJiBMWPGwM7Orsj171aXnj17omfPngCAf/75B9u3b4ejoyPef/99BAYGlut95efno2vXrti6dSsA4LHHHkP//v0xcuRIZGVl4fnnn0e9evUwffr0IkeYys3NRcOGDXHgwAHzduzs7HDp0iXzdV5++WVcv369XMdrKT5n5Cps06JFC3z1xVqEhoZi8w9bcebgbphUDUbFgAA/Xwx8eTx69uwJV1dXaw+ZiEqg65eLTCYTTpw4wSPPCMQ2crFNxfLz88PKlSsRGRmJrl274sUXX0TTpk3x5ZdfFmlwN7scOnQI48aNQ9OmTbF+/Xr8888/6N+/Pxo2bFjkEhcXZ75N+/bt4e7uDm9vb3h7eyMmJgajRo0y/7tq1apYs2ZNkfvJzc2FnZ0dXn/9ddStWxfbtm3DggUL4O5e8J6FhIQE/Pnnn+jQoQPS09PL/XHeLXzOyHVjm+rVq2PAgAFYveozbN30LTZ+uRY/bNyAL79Yi8GDB3Myo3eaZp0LWUTXKzSKoiAwMJC7AQjENnKxjXU0bNgQX331FUJCQjBjxgw89dRTWLx4MebNm4dHH330rnTRNA3du3dHcnIyXnnlFSQnJ6NPnz4YNWpUset6e3sjLy+vyOfWr19f6ntmHn300WKfS01NhbOzM+bMmYPZs2ebV2Hc3Nywf/9+VK1aFQCwZ8+eSrU/OZ8zcpXUxmAwoGbNmqhZs6YVR0ZEZaH73658g6ZcbCMX21hPUFAQtmzZgkOHDsHb2xuDBg1Cu3btsGfPnnL/g9lgMOD777/HqVOn8PTTT9/17hcvXoSHhwfs7e1vetLCwl3gLJGeng5VVXHt2jWrHmWMzxm52IYsxkM2i6XrCY2qqggLC4OqqtYeCv0L28jFNjK0a9cOe/fuxc8//wyj0Yjg4GB06NDB/D6S8uLm5lau27uZo0eP4p577sGbb75Z5FDNGRkZuP/++83/HjhwoMXbnDFjBhwdHbFp0ya0bdv2Lo6+dHzOyMU2RLZB14dt1jQNqqpCURSeH0AYtpGLbeTRNA3btm3Dm2++ibCwMPTp0wfz589Hy5Yty/V+hg8fjl9++aXEQ0jHxMTg7NmzCAgIAFDwHprz58+X+mb4xMRErFixwrz72vXr11GnTh0cPXoUDRo0KHJdNzc3XLp0ybzL2b8lJyfjr7/+QufOnQHIO2wznzNysY0MleKwzSFfwMGhgg/bnJOJ9xY/LfL7Io2u30MDFLwhkPs1y8Q2crGNLAaDAf369cPDDz+MzZs3Y+bMmbjvvvswbNgwzJkzB02aNCm3+1qyZEmp76H5t7Vr11r8Hppjx46hdevW2L9/P7p3717ka+np6WjSpEmRPzgDAwOxY8cOAAUn0CyczEjF54xcbEOWMGgFl4q+T7KMrldoTCYTwsLCEBQUxH1ohWEbudhGphu7qKqKtWvXYs6cOYiPj8eoUaMwc+ZM1K1b947uIy8vD4qi3HF3TdMQGRmJv/76C9HR0cjISIeiGOHq6oqgoCC0atUKNWrUuKP7kITPGbnYRobKsEIzeZp1VmiWLeEKjSV0PaEhIrJl2dnZWLlyJRYsWIC0tDS88MILmD59OmrVqmWV8Wiahj179mDz5g24+E8Y7O2zUd/fHjXcFOTna4i7ZEJ8gglGuxpo37EXnnjiCdSpU8cqYyWiiiP577X/n9CstdKEZqTI74s0up7QaJqG7OxsVK1alfvOCsM2crGNTDfrcu3aNSxfvhxvv/028vLyMGnSJLz66qsVugqSmJiIZcvewemTe9GhtR0eebgO7mnmDkUpOtaMjFzsO5iA7bsvIfmqO5546kU89thjlfpnjc8ZudhGBk5oSsYJjeV0vdOoqqo4e/Ysj24iENvIxTYy3axLtWrV8MYbb+D8+fOYNGkSli9fjnr16mHhwoW4du1asevHxsYiPz+/3MZ28eJFvPrKBFy+uBvzptdHyOSWuLd5zWKTGQCoXt0e/XrVxQdLWqPfwyq+WL0Q7733npg3+N8OPmfkYhsi26DrCY3RaOR+s0KxjVxsI5MlXWrUqIGFCxfi3LlzGDlyJObMmYMGDRpg+fLlyM7ONl+vR48eeOaZZ8plXBkZGZjx5quo5nAG78y7D/c2t+xkhfb2Rowa0QRTXvTDL3u/wNq1a8tlPNbA54xcbEOWKjwoQEVfyDK6ntBomobr169X6lf+bBXbyMU2MpWli7e3N5YvX46///4bffv2xZQpU9C4cWOsWrUK+fn5mDlzJtatW4evvvrqjsf18ccfIzMjHLND7oWba+knyyzNgx1r46mhHvh+02f466+/7ng81sDnjFxsQ2QbdD2hUVUVMTExXGoWiG3kYhuZbqdL3bp1sWrVKkRERKBjx4549tlnERgYiCpVqmDEiBEYN24coqOjb3tMf/31F37d9z3GPu2Pmu4ln0PGEgP71kOjeln4z38+qJR/ePI5IxfbkMU0K13IIrqe0BiNRjRv3pxLzQKxjVxsI9OddGnSpAm++eYb/Pnnn2jcuDEef/xxnDx5Es7Oznj88ceRl5d3W2Patm0bvD2z8FBnn9u6fSFFMWD4oLo4f+4Y/v777zvaljXwOSMX2xDZBl1PaDRNQ3p6eqV8xc/WsY1cbCPTnXZJS0vDmTNnMHr0aCxevBgGgwGXLl3CkSNHbuv9NHl5eTj03z14+CHPcjl6VKsWHqjploP9+/ff8bYqGp8zcrENWY5LNJLpekKjqiri4+O51CwQ28jFNjLdaZfNmzdj6NChGDx4MEJCQnD69Gnz17766qsyb/eff/5BXm4amjd1v63x/JvBYEBg46o4c6byvY+Gzxm52IbINlSx9gCsyWg0omnTptYeBpWAbeRiG5nutMuoUaMwePBg5OXlIT8/3/zf3Nxc2NnZQVHK9vrXhQsXAC0HAf7VbntM/xZQtzqO7zxTbturKHzOyMU2RLZB1xMaTdOQlpYGV1dXnlBLGLaRi21kKo8u1aqV3+QjNzcXgAoHh/J7b4KDgxG5OTnltr2KwueMXGxDFlP/d6no+ySL6H6Xs6SkJC41C8Q2crGNTNK6VK1aFTAoyMoylds2s7Ly4VD19o+WZi3S2tD/Yxsi26DrCY3RaESjRo14dBOB2EYutpFJWhd/f3/AUBUxsRnlts2Y2GuoG1D5dg+S1ob+H9uQpXhiTdl0PaFRVRUpKSl8ZUYgtpGLbWSS1qVOnTpwcKiBsIgr5bI9k0lFxN/ZaNy4WblsryJJa0P/j22IbIOuJzSapiE1NZWHaxSIbeRiG5mkdalSpQoeeLAXfvolCap652M6ejwJV9Mc0bVr1zsfXAWT1ob+H9sQ2QZdT2iMRiMaNGjApWaB2EauytRm37596NGjR4lfK883wJfE29sbZ8+evav3cSOJXfr27Yvkq87Y9fOFO9pOfr6Kr7+LRdPA9qhfv345ja7iSGxDBdiGyDboekKjqioSExO51CwQ28hly20GDBgADw8Piy6zZs2y9nCLkNilYcOGCO49Amu+jkfCpczb3s4335/DhQQXjBv3UjmOruJIbEMF2IbINuj6sM0AkJl5+/+TpbuLbeSqrG2uXbuG/Px8879TU1MBFOweVa1aNfzwww9WGln5kNjlmWeewalTf2DW4hOY/8a98PJ0LNPtd+yJxcYf0vDUqGmVcnWmkMQ2VIBtyCKaVnCp6Pski+h6QqMoCgICAqw9DCoB28hVGdokJSUhKCjI/O+qVavik08+weeff460tDQ4ODggNzcXvXr1Qk5ODoxGI/7444/buq/169fjxRdfLPb59PR0tGrVqtgJKXv16oVvvvnmtu7rZqR2cXJywvz5b2H69FcwdcZJvDAqAJ3ae9/ydtev5+HzL6Ow99dcDBg0DkOGDKmA0d4dUtsQ2xDZCt3vcnbp0iUuNQvENnJVhjaenp64dOkSLl26hMjISLi7u6N79+4AgI0bN+LQoUNwd3fHoUOHsHnz5iK3feGFF+Dm5gY/P78SL9WrV8fixYvN1x8xYgRSU1OLXXx8fHDq1Klin78bkxlAdhcvLy+8++4HCLx3CN76IAFvzDuGA4cuITs7v8j1NE1DwqVMfLXxDMa9cgwHj7liwqT5GDNmTKU+6aHkNnrHNmQpHrZZNl2v0ACFZ7MmidhGrsrUZubMmRg+fDh8fX0tvs3s2bPx8ssvl/i1kj5/4cIFtGnTpsjnkpKS0KZNmyJvNn7mmWewcOFCi8dRVpK7uLq6Yvr0N3DoUHds3rwJb3/4OwxaDHxqG+HmosBkAi4m5OHadSOqOnqhW48XMHjwYHh6elp76OVCchu9Yxuiyk/XExpFUQpO/kbisI1clanN7t27sXLlSsTExJg/98gjj8De3h4pKSm45557kJeXh+rVq9/R/ZhMJlSpUgUXL140f87Pzw8HDhww787y3nvv3dWjnlWGLgaDAR06dECHDh1w8eJF/PXXX4iOjkZGRgaMRiPua18LDRs2RFBQEBwdy/ZeG8kqQxu9Yhsi26DrCY2qqkhISEDt2rWL7edO1sU2clWWNidPnsTw4cNhMBjQs2dPbNq0CQCwY8cONGzYEN7e3jh9+jRiYmIwePBg8+1UVcXcuXPx3nvvlbjdK1euYPr06RXxEMqksnQpVLgLnx5UtjZ6wjZkOe1/l4q+T7IEn71EZHOOHj2K7t27Y+7cufD29sZrr72Gp59+2qLbZmZmYunSpYiJiSnx8swzz9zl0RMREVFZ6HqFRlGUMu1XTxWHbeSqDG28vb2xatUqtGvXDu+++y6efvpp9O/fH48++iiCg4NhZ2eHxMRENG3aFHl5eahRo4b5tjExMTd9fAsWLCjTK7kZGRlwdHTEtWvX7uob2ytDF71iG7nYhixlUAsuFX2fZBldr9CoqorY2Fge3UQgtpGrMrSpU6cOBgwYUORzbm5uqFevHvbt24fIyEg4OTkhMjISv//+Ozp37gyg4I38f/zxB+6///5St+3s7Fym93d8+umnqFatGhYtWoQHHnjg9h6QBSpDF71iG7nYhsg26HqFBgDs7e2tPQQqBdvIVVnbrF69utjnvLy8sGzZMgDA/Pnz0b9/f7i7u5dpu15eXli1alWJX5syZQqmTJlS9sHehsraRQ/YRi62Iar8dD2hURQF3t63PsEbVTy2kctW21y7dg27d+/G7t27y3xbJycnBAcH34VRWc5Wu9gCtpGLbYhsg+53OYuJieFSs0BsI1dlauPt7V3kkM03unbtWpF/V6tWDadOnULdunXL5b4vXrxYoWcgr0xd9IZt5GIbItug6xUaoOCVVZKJbeSy1TaVfdcTW+1iC9hGLrYhi/CozaLpekKjKAq8vLysPQwqAdvIpYc2+fn5+P333/HLL/uQmJiE3NxcuLq6oFmzpujVqxd8fHysPcRi9NClsmIbudiGyDboekJjMpkQExODgIAAGI1Gaw+HbsA2ctlym+zsbHz33XfYvGUr/olNgF3VmnCuVhOK0Yjcfy7hl1+PYfWar/Bg5w54/PHhuOeee6w9ZDNb7lLZsY1cbEMW07SCS0XfJ1lE1xMag8EANze3u3puCLo9bCOXrbZJS0vDjBkzcfDQSXh6N0WbB7rBxc2zyHVM+Xm4GBuJ0F+P4+B/j+D1kKlWPxhAIVvtYgvYRi62IbINup7QKIqCmjVrWnsYVAK2kcsW22RnZ+P119/AkWORaN1pKGq4l3zUI2MVO9StHwT/gOY4cWwP5s1/C/b29njooYcqeMTF2WIXW8E2crENkW3Q9VHOTCYTzpw5A5PJZO2h0L+wjVy22OaTTz7B4T/C0abT4FInMzcyKApatn4YDtXrYsHCt5CQkFABo7w5W+xiK9hGLrYhixXuclbRF7KIric0iqLA09MTiqLrb4NIbCOXrbXJyMjA9u27UKd+a7jWsPzNwQaDAa3aBONqeg527tx5F0doGVvrYkvYRi62IbINun4Gc99ZudhGLltrs3fvXqRcvY56De4t822NVezgVbsptm7bgdzc3LswOsvZWhdbwjZysQ1ZTLPShSyi6wmNyWRCZGQkl5oFYhu5bK3N9h93wtWjHhyqOt/W7es3aoWLcYk4fPhwOY+sbGytiy1hG7nYhsg26HpCoygKfHx8uNQsENvIZWttLl6MRw332rd9++ou7jAY7HD58uVyHFXZ2VoXW8I2crENkW3Q9VHODAYDXFxcrD0MKgHbyGVLbVRVRU5ODtyq2N3RdhSjHbKyssppVLfHlrrYGraRi23IUgat4FLR90mW0fVLEiaTCeHh4VxqFoht5LKlNoqioGrVqsjPu7P3v5hMuXByciqnUd3uGGyni61hG7nYhsg26HpCoygKAgICuNQsENvIZWttGtQPQHJS7G3fPvXKJSgwwc/PrxxHVXa21sWWsI1cbEOW41EBJNP1M9hgMMDZ2ZlHNxGIbeSytTb9+vXBtdSLyLyedlu3jz7zJ+oF+KJ169blPLKysbUutoRt5GIbItug6wmNyWRCWFgYl5oFYhu5bK1N165d4V2rBqLP/Fnm2+bmZCEl8QwGDuwPo9F4F0ZnOVvr8n/t3XtcVHXi//H3OQgIchPlIgMIJmkqeSnLStNsvaR4qbW1zEpd61teStH9amWlta22ma6ubpp5W3W328O85y3QwtKHgQRKoKKEXBRQYRCRy5zz+8Mv83MCdUCY85lz3s/HYx47wpk5n8MrWD58zpzRE7YRF9uQ3fjGmkIz9IRGlmW0b9+eS80CYhtx6a1N8+bN8fSoJ5F/7hcUnM+y+3GKYsHPP21HmyA/DBw4sOkGaCe9ddETthEX2xDpg6G/gyVJgoeHB5eaBcQ24tJjm7Fjx2LQH3rjl6PbcD4v87bbV1dX4UjCN2gmFeP9996Fv7+/A0Z5a3rsohdsIy62IdIHQ09oLBYLkpOTudQsILYRlx7bNGvWDO+88zaGD+2PtKQd+PHgVziflwn1d8v95VdLkZaagAN7VqOF2xX8fcFf0b17d41GbUuPXfSCbcTFNmQ3XhNAaIZ+HxpZltGpUycuNQuIbcSl1zbNmzfH22/PwUMP9cKWLduQ/MsupCW7wc3DF5IkQ7FU4lrZRQS09sG4scMxcuRIza9sdiO9dtEDthEX2xDpg6EnNAA0fyEv3RzbiEuvbWRZxsCBAzFgwABkZGTg4MGDuHz5MioqKuDt7Y2oqCj0798fLVq00HqoddJrFz1gG3GxDdlDAiA5+EX6PBHSfoae0CiKgtTUVERHR/MHmmDYRlxGaCNJEjp27IiOHTtqPRS7GaGLs2IbcbENkT4Yeo1VlmVER0dzqVlAbCMuthETu4iLbcTFNkT6YPjvYL4QUFxsIy62ERO7iIttxMU2ZBdeFEBohp7QKIqCtLQ0KIqi9VDod9hGXGwjJnYRF9uIi22I9MHQr6FxcXFBt27dtB4G1YFtxMU2YmIXcbGNuNiG7Kaq12+O3ifZxdArNKqqory8vNZ7TZD22EZcbCMmdhEX24iLbYj0wdATGkVRcPr0aS41C4htxMU2YmIXcbGNuNiG7McX0YjM8KecRUdHaz0MqgPbiIttxMQu4mIbcbENkT4YeoVGVVWUlZVxqVlAbCMuthETu4iLbcTFNkT6YOgJjaIoyMrK4lKzgNhGXGwjJnYRF9uIi23IbopGN7KL4U8569y5s9bDoDqwjbjYRkzsIi62ERfbEOmDoVdoVFWF2WzmUrOA2EZcbCMmdhEX24iLbYj0wdATGkVRkJeXx6VmAbGNuNhGTOwiLrYRF9sQ6YPhTznr2LGj1sOgOrCNuNhGTOwiLrYRF9sQ6YOhV2hUVUVxcTGXmgXENuJiGzGxi7jYRlxsQ3ZTVW1u9bB69Wp07twZJpMJ99xzDz799FObz1dUVGD27Nlo3749QkJCMGLECOTl5dlsk5ubi9GjRyMiIgImkwmxsbGorKy02ebw4cPo06cPwsPDERUVhVWrVjXsa9qIDD2hURQFhYWFXGoWENuIi23ExC7iYhtxsQ3pxYYNGzB37lx8+eWXyM3NxebNm/HOO+/gv//9r3WbyZMn48iRI0hMTER2djaioqLwxBNPwGKxAAAqKysxYMAAhIeHIzMzEydOnEBSUhJiY2Otz5GRkYFBgwZh+vTpyM7OxrZt2/DOO+/g66+/dvgx30hSdfxnCbPZDF9fX5SUlMDHx0fr4RARERHR74j8+1rN2GaN/xfc3Twcuu+KynJ8uHaSXV+XyZMno3fv3nj22WetH5sxYwbOnj2LzZs3Izs7G5GRkTh69Ch69OgB4PoEJiQkBGvXrsWwYcOwadMmvP7668jPz4erqysAICkpCQ8//DBycnLQunVrvPTSS7hw4QK2bdtm3c+iRYuwadMmJCYmNsFXwT6GX6G5ePEi/zIjILYRF9uIiV3ExTbiYhtyBmaz2eZWUVFRa5vly5fbTGYAIDU11ToROnjwIIKCgqyTGQBwc3PDoEGD8O233wIA4uLiMHDgQOtkBgB69OgBf39/xMXFWbeJiYmx2c+wYcOQlJSEgoKCxjngBjD0hIbnzoqLbcTFNmJiF3GxjbjYhpxBWFgYfH19rbf58+ffcvuqqipMnToVP/30E2bOnAng+mtjQkJCam0bEhKC3NzcW25jMpluuU3Nv2u20YLhr3J21113aT0MqgPbiIttxMQu4mIbcbEN2U39v5uj9wng3LlzNqecubu73/Qh2dnZ+NOf/gSz2YyEhAR06dIFAODq6gpZrr2OIUmSdULf0G0kSbo+XA3/MGDoFRpFUVBQUMClZgGxjbjYRkzsIi62ERfbkDPw8fGxud1sQpOYmIiePXuid+/eOHbsGLp27Wr9XGhoaK0rmgFAXl4eTCbTHW1T8++abbRg6AkNAFy9elXrIdBNsI242EZM7CIuthEX25BdBL9sc3Z2NoYMGYJly5Zh4cKFtSY9/fv3R0FBAVJSUqwfq66uRlxcHAYPHgwAGDRoEPbt24fq6mrrNidOnEBhYSH69+9v3WbXrl02z71nzx5069YNQUFB9f6yNhZDT2hkWUZERESdy2ukLbYRF9uIiV3ExTbiYhvSi1deeQWTJk3C008/XefnAwICMH78eMTGxsJsNsNiseDNN9+Ev78/hg4dCgCIiYlBQEAA3n77bVgsFpSUlGDq1KkYP348AgICAABTpkzBd999Z73KWUZGBj744APMmjXLMQd6E4b+DlYUBefPn+dSs4DYRlxsIyZ2ERfbiIttyG6Cr9B8++23+Ne//oXQ0NBatxpLly5FdHQ0OnXqhNDQUGRkZGD37t1o1uz6S+qbNWuG3bt3Iy0tDWFhYejcuTO6du2KJUuWWJ+jffv22LFjB95//32YTCbExMRg7ty5eOaZZxrva90Ahr4oAIBa735K4mAbcbGNmNhFXGwjLrYhPbDnBfnu7u5YvHgxFi9efNNtQkNDsXXr1ls+T58+fXD06NF6j7EpGXpCI8sywsPDtR4G1YFtxMU2YmIXcbGNuNiGSB8Mf8pZbm4ul5oFxDbiYhsxsYu42EZcbEN2E/yUM6PTbEJjNpsxadIktG3bFmFhYejRowc2b95c57Y7d+6EJElYt26dYwdJRERERERC0+yUs9GjRyMoKAgnTpyAl5cX4uLiMGzYMISGhuKBBx6wbldQUICpU6c2yRtfybKs6TWz6ebYRlxsIyZ2ERfbiIttyG5arJhwhcZumq3QbNiwAStXroSXlxeA69fHbt++PQ4dOmSz3Z///Ge8/PLLNldpaCyKoiA7O5tLzQJiG3GxjZjYRVxsIy62IdIHzSY0rVu3tr7pz7Vr17By5Uqkp6ejT58+1m0++eQT5OTkYMaMGXY9Z0VFBcxms80NgPUHlaIote67ubnZfNxisdjcr7lqRH3uq6pa6z6Aet9XFMXm/q2O41b3nfWYft9GD8ekl063auOsx6SHTjWX3tTTMemlU0PbiHxMeul0Yxu9HJOzdiJqKM0vChAWFgZPT0+sWLECX3/9Ne6//34A19+oZ86cOdi4cSNcXV3teq758+fD19fXegsLCwMA5ObmAgDy8/ORn58PAMjJyUFRURGCg4ORk5ODWbNmYeHChcjKysLly5cBAGfOnEFJSQkA4NSpUygtLQUApKenW99ZOC0tDdeuXQMApKamoqqqCoqiIDU1FYqioKqqCqmpqQCuT9zS0tIAXH9n4vT0dABAcHAw9u/fDwAoKSnBmTNnAACXL19GVlYWAKCoqAjZ2dkArp+Gl5OTU+cxFRQUALj+jrFFRUUAoMkxlZaW4tSpUw0+pgsXLiA4OBh5eXm6OSa9dMrLy0NwcDAuXLigm2PSQ6dLly6hsrISsizr5pj00qmkpATl5eWQZVk3x6SXTqWlpSgrK4Msy7o5JmfsVHMcYlM1upE9JLVmCq2h4uJiLFq0CGlpaVi/fj3c3Nzw0EMPYcyYMYiNjQUA9OvXD+PGjcO4ceNu+jwVFRWoqKiw/ttsNiMsLAyXL1+Gn5+f9a8Lsixb//KQk5OD0NBQvP/++/D29sb06dMxZswYHDly5Kb7OXToEEaPHo2MjAzrKtPNXL58Gf/85z8xYcIEqKoKRVHg4uJicz84OBgHDx5Ehw4dbD6uKApUVbXev3Hs9blvsVggSZL1vizLkCSpXveB63+tufH+74/Dnvv2HtONbWRZ1sUx6aXT7do44zHpoVN1dTWys7MRERFh/fnj7Mekl0530kbUY9JLJ4vFgt9++83aRg/H5IydiouL4e/vj5KSEvj4+EAkZrMZvr6+mDV2CdzdPBy674rKcny48XUhvy6iEeJ9aPz8/PDee+/h4YcfxrJly6zhpk+fXq/ncXd3r3OCUfPNU/O/N9739PS0ftMBgIuLC7744gu79vfVV1+hX79+2Lx5M5544gl4eFz/D339+vXo3r077r33XowdO9a6L0mS4OLiUut+zX5///G6xtuQ+3Xtp7Hu3+yYbna/PmOvaVNXP2c9plvdd6ZjulUbZz0me++LfEw1r0nU0zE19L5ox9TQNiIfU0OPQ7Rjaow2oh2Ts3YSmvJ/N0fvk+yiySlniqJgx44dtT7eunVr5OfnY9euXYiPj7dONCRJwsGDBzF+/HhIkoTq6upGGYcsy0hJSUFISAhWrFiBhQsXws3NDTk5OXj++efRoUMHdOvWzXrz9fWt83nWr19vfdfVsrIyzJw50zq5udF//vMf+Pn51boVFBSgR48etT7+zDPPNMpxOiNZlhEYGGjzA5XEwDZiYhdxsY242IZIHzT5Di4sLMTEiRMxb9486ylie/bswZ49ezB06FAkJydbXzRWc+vbty/Wrl1r8wK+O2WxWBAZGYnc3FycP38eK1euxKhRoxAaGory8nKsXLkSycnJ1ltdr+UpKirC66+/jpMnT6KoqAgfffQRBg0ahJYtW+LKlSs2244ZMwbFxcW1biEhIUhJSan18c8//7xRjtMZWSwWZGZm8oWCAmIbMbGLuNhGXGxD9uNraESmySlnQUFBOHz4MGbPno127dpBVVUEBQVh3bp1GDBggMPGIUkS/Pz8IEkSSkpKMGfOHOzZs8f6+fHjx6NFixbWfxcXF9s83mKxYPDgwdZ/R0VFITAwEN7e3hg8eDCGDRtWa5/nzp1Dz549bT5WWFiInj172iy5TpgwAX/729/u9BCd1o1tSCxsIyZ2ERfbiIttiPRBs9fQRERE1GsF4sCBA40+BlmW0apVK1gsFrz44ouoqKiwrv58/fXXt328i4sL9u3bh4yMDPTq1QsjR47EtGnT8Mgjj+D777/H448/jrFjx9o8xmKxoFmzZtariwBAaGgoEhISrC9K/Mc//oHTp0833oE6oZo2JB62ERO7iIttxMU2RPpg6JNGLRYL0tLS8OKLLyI9PR0eHh549NFHMXPmTAQGBqJLly6IjIxEy5Yt0aVLF9xzzz3o0qWLzXNkZGTgr3/9q83HysrKMHnyZEceiu5YLBacOnWKpwEIiG3ExC7iYhtxsQ3ZTVW1uZFdDD2hkWUZe/fuhY+PD2bPno2HHnoIb775JiRJwssvv4zjx49j7dq1GDFiBI4fP44ffvhB6yEbhizLCAgI4As1BcQ2YmIXcbGNuNiGSB+EuGyzViRJwpQpU+Di4oL169cDAF544QWsWLECc+fOxY4dO3DlyhVcunQJ3bp1u+lfcGreBPTXX3/F6tWrERwc3KDxlJaWwsPDA1euXDH8+bw15zWTeNhGTOwiLrYRF9uQ3bR4jT4XaOxm6D9JWCwWnD592vrmUTeaOHEikpOT8dlnn2H48OFITk5GfHx8nc/j6+uLbt264YMPPsCIESPw4IMPYunSpfUez6pVq+Dl5YX58+ejd+/e9X68nlgsFqSnp/M0AAGxjZjYRVxsIy62IdIHQ6/QyLKMkJCQOpeaP/30U2zZsgVlZWUoLi5Gly5dYLFYar35U/fu3bF9+3a0adPG+rH8/HxYLBaUlpbi4sWLNqstgYGBWL16dZ3jiY2NRWxsbCMdnXO7VRvSFtuIiV3ExTbiYhsifTD0d7AkSfDx8anz9K6a19CcPXsWly9fvulraNzd3W0mMwAQFxeHzp07w9/fHz///DOio6Otn/P09MSgQYMa/2B05lZtSFtsIyZ2ERfbiIttyG6qos2N7CKpqn4voWA2m+Hr64uSkhL4+PjU+nzNUnPHjh1rrbzczvnz5+Hn54fmzZs31nDpBnfShpoW24iJXcTFNuJiGzHc7vc1LdWMbdboj+Hu5uHQfVdUluPDL2YI+XURjeFPOYuIiGjQUnNDX/hP9rmTNtS02EZM7CIuthEX25DdtLiMsn7XHBqdoSc0kiShRYsWd/QcJSUl2LdvH/YfiMfFy5dRWVUJH28fdL2nE4YOHYqOHTtyKbsBGqMNNQ22ERO7iIttxMU2RPpg6D9JWCwWpKamNujqJkVFRVi4cCGefPYZvPfJP3GsuhSFbVvD3DEMZ/3csOGH/XhxyiS8OmUyEhISmmD0+nYnbahpsY2Y2EVcbCMutqF6UR18I7sZeoVGlmW0b9++3kvNZ86cwey35yC9uBABvbqhW49ouHranlepqiounjqLoz8l4tjct/Ha+IkYM2YMV2vs1NA21PTYRkzsIi62ERfbEOmDoSc0kiTBw6N+L/DKz8/HzDdn44ylHPf+z3Nw96p7qVqSJLS+ux1aRUUi6/sjWLz6U7i7u2PUqFGNMXTda0gbcgy2ERO7iIttxMU2RPpg6D9JWCwWJCcn273UrKoqPvhwATLLSxH9wqibTmZuJEkSIvv2glevrli88hOcPHnyTodtCPVtQ47DNmJiF3GxjbjYhuxWc1EAR9/ILoae0MiyjE6dOtm91Hzy5EkcPZ6CiCf6wa2FZ7321e7x3rji4Yrt27c3ZKiGU9825DhsIyZ2ERfbiIttiPTB8N/B9bnu/I4dO1Du4YZWUZH13o8kSWh9XxfsjNuPkpKSej/eiPieAOJiGzGxi7jYRlxsQ3bhCo3QDD2hURQFqampUJTbvxNreXk5vo3/DgH3dWnwC/tDekTj4rWrOHDgQIMebyT1aUOOxTZiYhdxsY242IZIHww9oZFlGdHR0XYtNV+6dAml18rhGxbS4P25tfCEi583Lly40ODnMIr6tCHHYhsxsYu42EZcbEOkD4a+yhlw/QWB9vwgKy8vh6KqcHF3u7MdurqivLz8zp7DIOxtQ47HNmJiF3GxjbjYhuyixSlgPOXMbob+DlYUBWlpaXYtNXt4eECWJFgqKu9sp1VVvESkHerThhyLbcTELuJiG3GxDZE+GHqFxsXFBd26dbNr21atWsHHwxPF2XloGRneoP1VXrkKy2Uz2rRp06DHG0l92pBjsY2Y2EVcbCMutiG7qdBghcaxu3Nmhl6hUVUV5eXlUO34D7R58+YY0v8PKEo6DrWBf8nJTUxBgKcX+vXr16DHG0l92pBjsY2Y2EVcbCMutiHSB0NPaBRFwenTp+1eah46dCg8yitRdPJMvfelKgqKko5j6OMD4O3tXe/HG01925DjsI2Y2EVcbCMutiG78bLNQjP0hMbFxQXR0dF2X4M+KioKve7tht92H0Tllav12tfpfd/Dp1JBTExMQ4ZqOPVtQ47DNmJiF3GxjbjYhkgfDD2hUVUVZWVldi81S5KEt2a/gfYt/JCy/itUmK/YtY/MuASU/3wCf5k0BVFRUXc6bEOobxtyHLYRE7uIi23ExTZE+mDoCY2iKMjKyqrXUnNgYCAWLfgQnTz98MvKTThz4EdUXCmrtZ2qKChMP43kdV+i4nAq/vI/kzB8+PDGHL6uNaQNOQbbiIldxMU24mIbshtPOROapOr4zxJmsxm+vr4oKSmBj49Poz73pUuXsGHDBuzYvxcFZaVwaxcGj1Z+kF1cUFVejtJTv8HjWhUeiO6Ksc88iwcffLBR909ERESkB035+9qdqhnbrJHz4e7a3KH7rqi6hg+3vCHk10U0hr5ss6qqKC0thbe3NyRJqtdj/f398frrr2PChAmIi4vDdwcP4GLBJVRWVsHbywtdBwzFkCFDeIpZA91JG2pabCMmdhEX24iLbcheqqo6/NREHa85NDpDT2gURUFeXh6ioqIa/IJAb29vjBgxAiNGjGjk0RlbY7ShpsE2YmIXcbGNuNiGSB8MPaFxcXFBx44dtR4G1YFtxMU2YmIXcbGNuNiGSB8MfVEAVVVRXFzMJT0BsY242EZM7CIuthEX25DdeFEAoRl6QqMoCgoLC3l1EwGxjbjYRkzsIi62ERfbEOmD4U8544v2xcQ24mIbMbGLuNhGXGxDdtNixYQrNHYz/ArNxYsX+ZcZAbGNuNhGTOwiLrYRF9sQ6YOhJzQ8d1ZcbCMuthETu4iLbcTFNmQ3voZGaIY/5eyuu+7SehhUB7YRF9uIiV3ExTbiYhsifTD0Co2iKCgoKOBSs4DYRlxsIyZ2ERfbiIttiPTB0Cs0AHD16lWth0A3wTbiYhsxsYu42EZcbEP2UBUVquLYU8AcvT9nZugJjSzLiIiI0HoYVAe2ERfbiIldxMU24mIbIn0w/Cln58+f51KzgNhGXGwjJnYRF9uIi23IfqpGN7KHoSc0AFBZWan1EOgm2EZcbCMmdhEX24iLbYicn+FPOQsPD9d6GFQHthEX24iJXcTFNuJiGyJ9MPQKjaIoyM3N5VKzgNhGXGwjJnYRF9uIi23IboqqzY3sYugJDREREREROTfDn3JmMpm0HgbVgW3ExTZiYhdxsY242Ibsp8WL9LlCYy9dT2hU9fp/CGazuc7P1yw1m0wmyDIXq0TCNuJiGzGxi7jYRlxsI4aa39Nqfm8TUUV1hSH26ax0PaEpLS0FAISFhWk8EiIiIiK6ldLSUvj6+mo9DBtubm4IDg7G0v0LNNl/cHAw3NzcNNm3M5FUkafDd0hRFOTl5cHb2xuSJNX6vNlsRlhYGM6dOwcfHx8NRkg3wzbiYhsxsYu42EZcbCMGVVVRWlqKkJAQIVfKrl27ptnlvd3c3NC8eXNN9u1MdL1CI8syQkNDb7udj48Pf5AJim3ExTZiYhdxsY242EZ7oq3M3Kh58+acVAhOvGkwERERERGRnTihISIiIiIip2XoCY27uzveffdduLu7az0U+h22ERfbiIldxMU24mIbIn3Q9UUBiIiIiIhI3wy9QkNERERERM6NExoiIiIiInJanNAQEREREZHT4oSGiIiIiIiclu4mNIqi4PDhw5gxYwb8/f2xbt06m89nZGQgJiYGYWFhCAsLw6BBg/DLL7/YbJObm4vRo0cjIiICJpMJsbGxmr1DrJ40Rptz585h9OjR1m2efPJJZGdnO/Ao9Kkx2tzof//3fyFJErKyspp24AbQWG2WLVuGDh06wGQyoVOnTrWeh+qvMdrs378fjz76KEJDQ9G2bVuMGjUKp06dcuBR6NPt2txo586dkCSp1jb8XYDIeehuQrN27Vq89tpr8PDwgIuLi83nzGYz+vbtiyFDhuC3335DVlYW+vfvj4EDB+Lq1asAgMrKSgwYMADh4eHIzMzEiRMnkJSUhNjYWC0OR1futE1VVRUGDBiAiIgInDlzBllZWYiMjMSQIUNQXV2txSHpxp22uVF8fDz27t3rqKHrXmO0WbRoEdavX4/4+Hjk5uZi9erVmDdvHnJzcx19OLpyp22SkpIQExODadOmIScnB6dOnUJERAQee+wxlJeXa3FIunGrNjcqKCjA1KlTcdddd9l8nL8LEDkZVcfatm2rrl271uZjubm5Nv++dOmSCkBNSkpSVVVVN27cqLZq1UqtrKy0bpOYmKi6u7urhYWFTT5mo2hIm5SUFLVfv36qoijWbcxmswpA/eWXX5p8zEbRkDY3fjw8PFw9dOiQCkA9e/ZsE4/WWBrSxmw2qy1atFB//vlnm+2qq6ubdKxG05A2CxYsULt3726zTXFxsQpATUxMbNLxGkldbWrExMSo8+fPV/v27WuzDX8XIHIuuluhuZ2QkBDr/cLCQrzxxhto06YNOnToAACIi4vDwIED4erqat2uR48e8Pf3R1xcnMPHayS3axMdHY34+HhIkmTdLjU1FQDg7e3t2MEazO3a1Hj11VcRExODhx9+2NFDNCx7fqa1aNEC9913n83jbvVXa2oct2tz//33IyMjA2lpadbttm3bhqCgINx9990OH6/RfPLJJ8jJycGMGTNqfY6/CxA5F8NNaADg8OHDCAwMRGBgIPLy8rB//354enoCuH7O7I3/J1TDZDLx9AwHuFWb30tMTMTTTz+NcePGITIy0sEjNZ7btdmwYQOOHTuGjz76SMNRGtOt2tScxrRt2zY88MADiIiIwJAhQ5CSkqLxqI3hVm0ef/xxLF++HDExMXjhhRcwePBgbN++HYcOHYKXl5fGI9e3jIwMzJkzBxs3brSZtNTg7wJEzsWQE5pevXqhoKAAmZmZ8PT0xFdffWX9nKurK2S59pdFkiSoqurIYRrSrdrcaOnSpejTpw/GjRuHzz77zMGjNKZbtcnKysK0adOwYcOGm05Aqencqo3FYsGpU6ewa9cu7N+/HydPnsRjjz2GPn36ICcnR8NRG8Pt2mRmZiIwMBA9e/ZEz549kZiYyBWAJlZVVYXnnnsOb731Fjp37lznNvxdgMi5NNN6AFpq164dVq9ejZYtW2Lw4MF48MEHERoairy8vFrb5uXlwWQyaTBKY6qrDXD9yjUvv/wyvv/+e8THx1s/To7z+zY9e/bE888/j6lTp+KBBx7QeniGVtf3TXh4OFxcXLB8+XLraWZ/+ctfsGbNGmzduhWTJ0/WeNTGUFebBQsWYPfu3fjxxx+tqwQTJkzAvffei7vvvht9+/bVeNT69O6778LHxwfTp0+/6Tb8XYDIuRhqhcZsNuPAgQM2H/P09ISHhwfy8/MBAIMGDcK+fftsrpp14sQJFBYWon///o4crqHY0wYAZs2ahYyMDPz888+czDjI7dqYzWYkJCRg3rx5kCTJegOAyMhI9O7dW4NRG4M93zcPPfQQgOurAb/n7u7e5GM0KnvaHDp0CI888ojNKU+RkZGIiorCkSNHHDlcQ9m1axfi4+Mhy7L159XBgwcxfvx4SJKE6upq/i5A5GQMNaE5evQohg8fjm+++QbA9f+Df++99+Di4oJHHnkEABATE4OAgAC8/fbbsFgsKCkpwdSpUzF+/HgEBARoOXxds6fNkSNHsG7dOmzZsgU+Pj5aDtdQbtfGz88PqqrWugHA2bNnkZCQoOXwdc2e75uIiAiMGDECEydORFlZGSwWCxYvXoyioiIMHz5cy+Hrmj1tHnvsMXzxxRc4evSodZtVq1bh+PHj+MMf/qDZ2PUuOTm51s+rvn37Yu3atVBVFc2aNePvAkROxlATmscffxxbt27FkiVLYDKZEB4ejh9++AF79+61/oBq1qwZdu/ejbS0NISFhaFz587o2rUrlixZovHo9c2eNrt378aVK1fQtWtXhIaG2twWLVqk8RHolz1tSBv2tlm2bBn8/f0RFRUFk8mEnTt34rvvvkNgYKCGo9c3e9rMmDEDb775JiZOnIjQ0FCYTCZ8+eWX2L17N3r06KHxERgbfxcgci6Syle3ERERERGRkzLUCg0REREREekLJzREREREROS0OKEhIiIiIiKnxQkNERERERE5LU5oiIiIiIjIaXFCQ0RERERETosTGiIiQYwcORLp6ekNfvzMmTMxd+7cxhsQERGRE+CEhohIADt37sS5c+cQEBCAqqoq3HfffWjWrJnNG8i6urri5MmTWg+ViIhIKHxjTSIiDSmKgmeffRbHjh3Dpk2bsGbNGoSFheGNN95Ar1698PHHH6N3797YsmUL5s2bh6SkJEiShI0bN2LSpEkIDAy87T7mzp2LsWPHOuBoiIiIHK+Z1gMgIjIyWZYRHByMtm3bIigoCNu3b8eJEycgSRIWLFiAZ555Bp9//jkmT56M9evXQ5Ik62OfeuoprFu3Drm5uZgyZQq++eYbAMBPP/2Ezz//HEuWLNHqsIiIiByGKzRERBqrqqpCz5494ebmhjFjxuDFF19Ey5YtAQCxsbFYvHgxJk2ahOXLl1sfs3HjRkyePBlt2rRBVVUVcnNzERERAQC4evUqiouLERISAgCYNm0aXnnlFYcfFxERkSPwNTRERBpzdXXFzJkz4erqitatW+Ott96yfs7T0xPe3t5ISUnBmTNnbB731FNPIT09Hd999x06duyI9PR0pKenY82aNRg4cKD135zMEBGRnnFCQ0SkobKyMqSmpmLRokUYPXo0rl27hk2bNiEzMxN//OMfUVJSgvPnz+PZZ59F37598dprr6GsrAyKokCW//+P8LNnzyImJgYxMTGYM2eOhkdERETkWDzljIhIQ5cuXcLHH3+Mli1bYv78+Vi4cCEqKipQWFiImJgYdO/eHaGhocjJycHVq1exd+9ejBw5EqtXr8bRo0exYsUKVFdXIycnx+Z5W7RogYCAAI2OioiIyHF4UQAiIg35+/ujuroaQUFB8Pb2Rn5+PmRZRrt27fDkk08CAPLy8qyvj5k1axYAoLi4GD4+PnjppZewdetWWCwWtGnTxvq8ubm5uP/++7Fv3z6HHxMREZEj8ZQzIiKNnTt3DiaTCQCsl2h+7rnnkJWVhaysLHh6elrvv/rqqwCAzMxMtGnTBqtWrcKxY8cQEhKCzz77DMePH8emTZvg5eWFpUuXanlYREREDsEVGiIijaWkpFhXYLp27YozZ86goqIC7u7uN33Mjz/+iFGjRgEATCYTtm3bhrFjxyI6OhpxcXHYunUr7rnnHkcMn4iISFNcoSEi0tCVK1dw/vx5REZGAgBcXFzw66+/3nIyk5iYiJycHPTp0wcAUFpaioSEBFRXVyMrKwsA8Pe//x3//ve/kZKSgsrKyiY/DiIiIq1wQkNEpCEvLy8kJCTYvGGmn58fQkNDrbff/zstLQ3Tp0/HsWPH0KVLF3Tt2hWJiYlYvXo1du/ejRMnTmDUqFGIi4vDsGHDsGbNGg2PkIiIqGnxKmdERE5IURQAQHZ2tvV0NSIiIiPihIaIiIiIiJwWTzkjIiIiIiKnxQkNERERERE5LU5oiIiIiIjIaXFCQ0RERERETosTGiIiIiIiclqc0BARERERkdPihIaIiIiIiJwWJzREREREROS0OKEhIiIiIiKn9f8AcW33s9UZcCUAAAAASUVORK5CYII=
" alt="figure" /></div>
<h2><span id="toc9">8. matplotlib scatterでカテゴリ別に色分けする</span></h2>
<p>これまでは連続値に基づいた色分けを見てきましたが、散布図ではカテゴリ値に基づいて点を色分けすることも非常に一般的です。これにより、異なるカテゴリに属するデータ点の分布や集まり具合を視覚的に比較できます。<code>matplotlib scatter</code>でカテゴリ情報を色で表現しましょう。</p>
<p>カテゴリ別の色分けを行うには、<code>scatter</code>関数の<code>c</code>パラメータにカテゴリを示す配列を渡し、<code>cmap</code>にはカテゴリ数の分だけ明確に異なる色を持つカラーマップを指定します。Matplotlib には、<code>tab10</code>, <code>tab20</code>, <code>tab20b</code>, <code>tab20c</code> といったカテゴリカルカラーマップが用意されています。</p>
<p>カテゴリ別の色分けでは、カラーバーの代わりに凡例を使用して、各色がどのカテゴリに対応するかを示すのが一般的です。<code>ax.legend()</code>を使って凡例を追加できます。</p>
<p>次のセクションでは、カテゴリ別の色分けのコード例を示します。</p>
<pre><code class="language-python"># カテゴリ別の色分けコード例（アヤメデータセット）

import matplotlib.pyplot as plt
from sklearn.datasets import load_iris
import pandas as pd # pandasをインポート

!pip install japanize-matplotlib &gt; /dev/null # Google Colab の機能を使って日本語フォントをインストール・インポート
import japanize_matplotlib

# データ読み込み
iris = load_iris(as_frame=True) # as_frame=TrueでDataFrameとして読み込む
df = iris.frame # DataFrameを取得
display(df.head(150)) # 全てのデータを表示するように修正

df[&quot;species&quot;] = df[&quot;target&quot;].map(dict(enumerate(iris.target_names))) # 品種名カラムを追加

# 散布図（がく片の長さ vs 幅）
fig, ax = plt.subplots(figsize=(6, 6))

# &#x27;species&#x27;カラムでデータをグループ化し、グループごとに異なる色でプロット
for species_name, group in df.groupby(&#x27;species&#x27;):
    ax.scatter(
        group[&quot;sepal length (cm)&quot;],  # がく片の長さ
        group[&quot;sepal width (cm)&quot;],   # がく片の幅
        label=species_name           # 凡例に表示するラベルとして品種名を使用
    )
# グラフの装飾
ax.set_xlabel(&quot;がく片の長さ (cm)&quot;)
ax.set_ylabel(&quot;がく片の幅 (cm)&quot;)
ax.set_title(&quot;アヤメ（Iris）データセット ― がく片の特徴&quot;)

# 凡例を追加（titleで凡例のタイトルを設定）
ax.legend(title=&quot;種別&quot;)

plt.show()</code></pre>
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" alt="figure" /></div>
<p><strong>図から読み取れる考察:</strong> このアヤメデータセットの散布図は、「がく片の長さ」と「がく片の幅」の関係を、アヤメの品種（setosa, versicolor, virginica）ごとに色分けして示しています。図を見ると、「setosa」（青い点）は他2つの品種と比較して、がく片の長さが短く幅が広い傾向にあることが明確に分かります。一方、「versicolor」（オレンジ色の点）と「virginica」（緑色の点）は一部重なりがありますが、virginicaの方ががく片の長さ・幅ともに大きい傾向が見られます。このようにカテゴリ別に色分けすることで、異なるグループ間のデータ分布の違いや特徴を視覚的に比較・分析することができます。</p>
<h2><span id="toc10">9. インタラクティブな散布図を試す (Plotly)</span></h2>
<p>これまでに見てきた Matplotlib を使った散布図は静的な画像ですが、Plotly のようなライブラリを使用すると、マウス操作に反応するインタラクティブな散布図を作成できます。インタラクティブな散布図には、以下のような利点があります。<code>matplotlib scatter</code>で基本的な可視化を学んだら、次のステップとしてインタラクティブな散布図も検討してみましょう。</p>
<ul>
<li><strong>ツールチップ表示:</strong> マウスカーソルをデータ点に重ねると、その点の詳細情報（X, Y の値や、色、サイズに対応する値など）を表示できます。これにより、個別のデータ点の正確な値を確認する際に便利です。例えば、特定の外れ値や興味深いデータ点の詳細を素早く把握したい場合に役立ちます。</li>
<li><strong>ズームとパン:</strong> グラフ上で自由に拡大・縮小、移動ができるため、データのごく一部を詳細に確認したり、全体像を素早く把握したりできます。これにより、データの特定の領域に注目したり、全体のパターンを俯瞰したりすることが容易になります。例えば、特定のクラスターの詳細を確認したり、データ全体の傾向を把握したりするのに便利です。</li>
<li><strong>選択とハイライト:</strong> 特定のデータ点や範囲を選択してハイライト表示したり、関連するデータを別のグラフと連動させたりすることが可能です。これは、特定のグループや条件に合致するデータを探索・分析する際に役立ちます。例えば、特定の条件を満たすデータ点だけを抽出し、さらに分析を進めたい場合に有効です。</li>
</ul>
<p>Plotly は Matplotlib とは異なる描画ライブラリですが、Python から手軽にインタラクティブなグラフを作成できます。特に Web アプリケーションでのデータの共有や探索において強力なツールとなります。より高度なデータ探索やプレゼンテーションには、インタラクティブな可視化も検討する価値があります。</p>
<pre><code class="language-python"># Plotly によるインタラクティブな散布図作成

import plotly.express as px
from sklearn.datasets import load_iris
import pandas as pd

!pip install japanize-matplotlib &gt; /dev/null # Google Colab の機能を使って日本語フォントをインストール・インポート
import japanize_matplotlib

# データ読み込み
iris = load_iris(as_frame=True) # as_frame=TrueでDataFrameとして読み込む
df = iris.frame # DataFrameを取得
display(df.head(150)) # 全てのデータを表示するように修正

df[&quot;species&quot;] = df[&quot;target&quot;].map(dict(enumerate(iris.target_names)))  # 0/1/2 -&gt; 品種名

# 散布図（がく片の長さ×幅）をインタラクティブに作成
fig = px.scatter(
    df,
    x=&quot;sepal length (cm)&quot;,
    y=&quot;sepal width (cm)&quot;,
    color=&quot;species&quot;,                 # カテゴリ色分け
    symbol=&quot;species&quot;,                # カテゴリに基づいてマーカーの形状を変更（任意
    hover_name=&quot;species&quot;,            # ホバー時に表示される名前
    hover_data={
        &quot;sepal length (cm)&quot;: &quot;:.2f&quot;, # ホバー時に表示するデータとそのフォーマット
        &quot;sepal width (cm)&quot;: &quot;:.2f&quot;,
        &quot;petal length (cm)&quot;: &quot;:.2f&quot;,
        &quot;petal width (cm)&quot;: &quot;:.2f&quot;,
    },
     title=&quot;アヤメ（Iris）データセット：がく片の特徴（インタラクティブ散布図）&quot; # タイトルをより具体的に
)

fig.update_layout(legend_title_text=&quot;種別&quot;)  # 凡例のタイトル設定
fig.show() # グラフ表示</code></pre>
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<table class="wp-block-table">
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      <th>sepal length (cm)</th>
      <th>sepal width (cm)</th>
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      <th>&#8230;</th>
      <td>&#8230;</td>
      <td>&#8230;</td>
      <td>&#8230;</td>
      <td>&#8230;</td>
      <td>&#8230;</td>
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      <th>145</th>
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      <td>2</td>
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      <th>149</th>
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      <td>3.0</td>
      <td>5.1</td>
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<h2><span id="toc11">10. 次の記事</span></h2>
<p>続いて「ヒストグラム＆箱ひげ：bin 設計・外れ値」で、分布の把握と外れ値の見極めを学びます。</p>
<h2><span id="toc12">まとめ：matplotlib scatterをマスターしてデータを効果的に伝えよう</span></h2>
<p>この記事では、Matplotlib を使って効果的な散布図を作成するための様々な方法を学びました。<code>matplotlib scatter</code>を使いこなすことで、より多くの情報を盛り込み、データの傾向や関係性を直感的に伝えられるようになります。</p>
<ul>
<li><strong>色による情報付加:</strong> <code>scatter</code>関数の <code>c</code> パラメータでデータの値に基づいた色分けを行い、<code>cmap</code> で適切なカラーマップを選択し、<code>colorbar</code> で色のスケールを明示することで、第三の変数を分かりやすく表現できます。<code>Normalize</code> を活用することで、色分けの再現性を高めることができます。</li>
<li><strong>サイズによる情報付加:</strong> <code>scatter</code>関数の <code>s</code> パラメータにデータの値を渡すことで、点のサイズに意味を持たせることができます。<code>s</code> はポイントの二乗で指定されるため、視覚的に分かりやすいように適切にスケーリングすることが重要です。</li>
<li><strong>視覚的な工夫:</strong> 点の重なりを軽減するためには <code>alpha</code> で透明度を調整したり、<code>edgecolors="none"</code>で枠線を消したりする工夫が有効です。これらのテクニックを組み合わせることで、色とサイズを同時に使用した多次元的な散布図も分かりやすく提示できます。</li>
<li><strong>カラーマップの選択:</strong> データの種類（連続値・カテゴリ値）や特性に応じて、適切なカラーマップ（シーケンシャル、ダイバージング、カテゴリカルなど）を選ぶことの重要性を学びました。特に、色覚多様性への配慮も考慮したカラーマップ選びが推奨されます。</li>
<li><strong>インタラクティブな散布図:</strong> Plotly を使うことで、ツールチップ表示やズーム・パンが可能なインタラクティブな散布図を作成でき、より詳細なデータ探索や共有に役立つことを紹介しました。</li>
</ul>
<p>これらのテクニックを活用することで、より多くの情報を盛り込み、データの傾向や関係性を直感的に伝えられる散布図を作成できるようになります。ぜひあなたのデータ可視化に<code>matplotlib scatter</code>を取り入れてみてください。</p>
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<h3 class="rank-math-question "><span id="toc14">scatter()で色を指定する方法は？</span></h3>
<div class="rank-math-answer ">

<p>Matplotlibの<code>scatter()</code>では、<code>c</code>引数に配列や数値を渡すことで点ごとに色を変えられます。<br />カラーマップを使う場合は<code>cmap</code>を指定します。</p>

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<div id="faq-question-1760865113337" class="rank-math-list-item">
<h3 class="rank-math-question "><span id="toc15">点のサイズを変えるには？</span></h3>
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<p><code>scatter()</code>の<code>s</code>引数に配列を指定すると、各点ごとにサイズを変えられます。<br />値が大きいほど点が大きく表示されます。</p>

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<h3 class="rank-math-question "><span id="toc16">凡例（legend）はどう設定する？</span></h3>
<div class="rank-math-answer ">

<p><code>plt.legend()</code>でラベルを追加します。<br />ラベルは<code>scatter()</code>の<code>label</code>引数で設定できます。</p>

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</div><p>&lt;p&gt;The post <a rel="nofollow" href="https://pythondatalab.com/matplotlib-scatter-colormap-size/">Matplotlib scatter入門：色とサイズで散布図を可視化する方法【第4回】</a> first appeared on <a rel="nofollow" href="https://pythondatalab.com">Python Data Lab（Pythonデータラボ）</a>.&lt;/p&gt;</p>
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<p>&lt;p&gt;The post <a rel="nofollow" href="https://pythondatalab.com/matplotlib-bar-barh-stacked/">Matplotlib 棒グラフ入門：横棒・グループ化・積み上げまで解説【第３回】</a> first appeared on <a rel="nofollow" href="https://pythondatalab.com">Python Data Lab（Pythonデータラボ）</a>.&lt;/p&gt;</p>
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matplotlib 棒グラフを作成する方法を徹底解説。縦棒・横棒グラフからグループ化、積み上げ棒グラフまで、サンプルコード付きで初心者にもわかりやすく説明します。

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<p>棒グラフは、カテゴリごとの値を比較するのに便利な可視化手法です。本記事では、Matplotlibでの棒グラフ・横棒グラフの描き方、複数系列のグループ化、積み上げグラフの作成方法を、初心者でもすぐ実践できるサンプルコード付きで解説します。</p>
<h2><span id="toc1">この記事でわかること</span></h2>
<ul>
<li>Matplotlib を使用した棒グラフ（縦・横）の基本的な描き方</li>
<li>複数系列のグループ化と積み上げ棒グラフ</li>
<li>色・ラベル・凡例の設定方法</li>
<li>カテゴリラベルの回転・調整方法</li>
<li>棒グラフのカスタマイズ方法（幅、色、枠線など）</li>
<li>データ可視化における棒グラフの活用例と注意点</li>
</ul>

<p>▶️ 公式ドキュメントも参考にしてください：</p>
<ul style="margin: 0; padding-left: 1.2em; line-height: 1.4;">
  <li><a rel="noopener" href="https://matplotlib.org/stable/api/_as_gen/matplotlib.axes.Axes.bar.html" target="_blank">棒グラフ</a></li>
  <li><a rel="noopener" href="https://matplotlib.org/stable/api/_as_gen/matplotlib.axes.Axes.barh.html#matplotlib.axes.Axes.barh" target="_blank">横棒グラフ</a></li>
  <li><a rel="noopener" href="https://matplotlib.org/stable/gallery/lines_bars_and_markers/bar_stacked.html" target="_blank">積み上げ棒グラフ</a></li>
</ul>



<h2><span id="toc2">1. 基本の棒グラフ</span></h2>
<div class="codecell"><pre><code class="language-python">

import pandas as pd
import matplotlib.pyplot as plt

!pip install japanize-matplotlib > /dev/null # Google Colab の機能を使って日本語フォントをインストール・インポート
import japanize_matplotlib

# データをDataFrameにする
date={"カテゴリ":["A", "B", "C", "D"], "値": [5, 7, 3, 4]}
df=pd.DataFrame(date)

fig, ax = plt.subplots()
ax.bar(df['カテゴリ'], df['値'], color="skyblue")
ax.set_title("基本の棒グラフ")
ax.set_xlabel("カテゴリ")
ax.set_ylabel("値")
plt.show()
</code></pre></div>
<p><img decoding="async" 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
" alt="figure" style="max-width:100%;height:auto;" /></p>
<p>ここでは、基本的な縦棒グラフの描き方を紹介しています。</p>

<ul>
<li><code>import pandas as pd</code> と <code>import matplotlib.pyplot as plt</code> で、データ分析とグラフ描画に必要なライブラリをインポートしています。</li>
<li><code>!pip install japanize-matplotlib > /dev/null </code> で日本語フォントを表示するためのライブラリをインストールしています。</li>
<li><code>import japanize_matplotlib</code> でインストールしたライブラリをインポートしています。</li>
<li><code>date</code> dateという名前の Python の辞書を作成し、その辞書を基に Pandas の DataFrame df を作成しています。<code>pd.DataFrame(date)</code> で Pandas の DataFrame に変換しています。</li>
<li><code>plt.subplots()</code> で図と軸を作成します。</li>
<li><code>ax.bar(df["カテゴリ"], df["値"], color="skyblue")</code> で縦棒グラフを描画しています。</li>
<p>    *   第一引数にカテゴリのリスト、第二引数に値のリストを指定します。</p>
<p>    *   <code>color="skyblue"</code> で棒の色を水色に設定しています。</p>
<li><code>ax.set_title()</code>, <code>ax.set_xlabel()</code>, <code>ax.set_ylabel()</code> でグラフのタイトルと軸ラベルを設定しています。</li>
<li><code>plt.show()</code> でグラフを表示しています。</li>
</ul>
<h2><span id="toc3">2. 横棒グラフ</span></h2>
<p>カテゴリが多い場合やラベルが長い場合は、横棒グラフ（barh）が見やすくなります。</p>
<div class="codecell"><pre><code class="language-python">
# 既存のDataFrameを活用
# date={"カテゴリ":["A", "B", "C", "D"], "値": [5, 7, 3, 4]}
# df=pd.DataFrame(date)

fig, ax = plt.subplots()
ax.barh(df['カテゴリ'], df['値'], color="lightgreen")
ax.set_title("横棒グラフ")
ax.set_xlabel("値")
ax.set_ylabel("カテゴリ")
plt.show()

</code></pre></div>
<p><img decoding="async" 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
" alt="figure" style="max-width:100%;height:auto;" /></p>
<p>ここでは、横棒グラフの描き方を紹介しています。横棒グラフは <code>ax.barh()</code> を使います。</p>

<ul>
<li><code>ax.barh(df[“カテゴリ”], df[“値”], color="lightgreen")</code> で横棒グラフを描画しています。</li>
<p>    *   <code>bar()</code> とは異なり、第一引数にカテゴリ、第二引数に値を指定します。</p>
<p>    *   <code>color="lightgreen"</code> で棒の色を薄い緑色に設定しています。</p>
<li>横棒グラフでは、X軸が値、Y軸がカテゴリになるため、<code>ax.set_xlabel()</code> と <code>ax.set_ylabel()</code> で設定するラベルも縦棒グラフとは逆になります。</li>
</ul>
<h2><span id="toc4">3. 複数系列のグループ化</span></h2>
<p>カテゴリごとに複数の系列を並べて比較します。</p>
<div class="codecell"><pre><code class="language-python">
# 既存のDataFrameを活用
# date={"カテゴリ":["A", "B", "C", "D"], "値": [5, 7, 3, 4]}
# df=pd.DataFrame(date)

# 新規のDataFrameを作成
date2={"カテゴリ":["A", "B", "C", "D"], "値":[6, 5, 4, 6]}
df2=pd.DataFrame(date2)

# Numpyのインストール
import numpy as np
x = np.arange(len(df2["カテゴリ"]))  # カテゴリ位置

width = 0.35  # 棒の幅

fig, ax = plt.subplots()
ax.bar(x - width/2, df["値"], width, label="data", color="skyblue")
ax.bar(x + width/2, df2["値"], width, label="data2", color="orange")

ax.set_xticks(x)
ax.set_xticklabels(df["カテゴリ"])
ax.set_title("複数系列のグループ化")
ax.legend()
plt.show()
</code></pre></div>
<p><img decoding="async" 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
" alt="figure" style="max-width:100%;height:auto;" /></p>
<p>ここでは、複数の系列を並べて比較するグループ化された棒グラフの描き方を紹介しています。</p>

<ul>
<li><code>date2</code> 比較対象となる 2 つ目のデータセット（ここではPythonの辞書）を作成し、それをもとに <code>df2</code> という名前のDataFrameを作成しています。</li>
<li><code>import numpy as np</code> で、数値計算を行うための <code>NumPy</code> というライブラリをインポートしています。</li>
<li><code>x = np.arange(len(df2["カテゴリ"]))</code> ここでは、グラフのX軸上で棒をどこに配置するかを決めるための準備をしています。具体的には、カテゴリの数（今回は4つ）と同じ数の連番（0, 1, 2, 3）を持つ配列を作成し、これを各カテゴリの「中心」となる位置と考えます。</li>
<li><code>width = 0.35</code> 描画する棒1本1本の太さを決めています。ここでは0.35という値を設定しています。</li>
<li><code>ax.bar(x - width/2, df["値"], width, label="data", color="skyblue")</code> これで1つ目のデータ系列（<code>df</code>）の棒グラフを描画します。</li>
<p>  * <code>x - width/2</code>：上で決めたカテゴリの中心位置（x）から、棒の幅の半分だけ左にずらした位置を、この棒のX座標としています。こうすることで、後の棒と並べて表示できます。</p>
<p>  * <code>df["値"]</code>：棒の高さとして、<code>df</code>の「値」のデータを使います。</p>
<p>  * <code>width</code>：棒の太さを指定しています。</p>
<p>  * <code>label="data"</code>：この棒が何を表しているかを示す「凡例（はんれい）」の名前を「data」と設定しています。</p>
<p>  * <code>color="skyblue"</code>：棒の色を水色に設定しています。</p>
<li><code>ax.bar(x + width/2, df2["値"], width, label="data2", color="orange")</code> これで2つ目のデータ系列（<code>df2</code>）の棒グラフを描画します。</li>
<p>  * <code>x + width/2</code>：カテゴリの中心位置（x）から、棒の幅の半分だけ右にずらした位置をX座標としています。これにより、1つ目の棒の右隣に並びます。</p>
<p>  * <code>df2["値"]</code>：棒の高さとして、<code>df2</code>の「値」のデータを使います。</p>
<p>  * <code>width</code>：棒の太さを指定しています。</p>
<p>  * <code>label="data2"</code>：凡例の名前を「data2」と設定しています。</p>
<p>  * <code>color="orange"</code>：棒の色をオレンジ色に設定しています。</p>
<li><code>ax.set_xticks(x)</code> X軸に目盛りを表示する位置を、上で作成した配列 <code>x</code> の位置（0, 1, 2, 3）に設定しています。</li>
<li><code>ax.set_xticklabels(df["カテゴリ"])</code> X軸の目盛りのところに表示される文字を、カテゴリの名前（A, B, C, D）に設定しています。</li>
<li><code>ax.legend()</code> グラフの右上に、どの色の棒が「data」で、どの色の棒が「data2」かを示す凡例を表示しています。</li>
</ul>
<h2><span id="toc5">4. 積み上げ棒グラフ</span></h2>
<p>カテゴリごとの合計値や構成割合を一つの棒グラフで表す場合に便利なのが積み上げ棒グラフです。ここでは、合計値を示す積み上げ棒グラフと構成割合を示す積み上げ棒グラフの描き方を紹介します。データ分析において、各要素の貢献度や全体像を把握するのに役立ちます。</p>
<h3><span id="toc6">4.1. 合計値を示す積み上げ棒グラフ</span></h3>
<p>このセクションでは、各カテゴリにおける複数のデータ系列の合計値を視覚的に示す積み上げ棒グラフの作成方法を解説します。<code>bottom</code> 引数を使用して、前の系列の上に積み上げて表示します。</p>
<div class="codecell"><pre><code class="language-python">
# 既存のDataFrameを活用
# date={"カテゴリ":["A", "B", "C", "D"], "値": [5, 7, 3, 4]}
# df=pd.DataFrame(date)

# date2={"カテゴリ":["A", "B", "C", "D"], "値":[6, 5, 4, 6]}
# df2=pd.DataFrame(date2)


fig, ax = plt.subplots()
ax.bar(df["カテゴリ"], df["値"], label="data", color="skyblue")
ax.bar(df2["カテゴリ"], df2["値"], bottom=df["値"], label="data2", color="orange")

ax.set_title("積み上げ棒グラフ")
ax.legend()
plt.show()
</code></pre></div>
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
" alt="figure" style="max-width:100%;height:auto;" /></p>
<p>ここでは、カテゴリごとの合計値や構成比を見るのに便利な積み上げ棒グラフの描き方を紹介しています。</p>

<ul>
<li><code>ax.bar(df["カテゴリ"], df["値"], label="data", color="skyblue")</code> でまず最初のデータ系列の棒グラフを描画します。これが積み上げの土台となります。</li>
<li><code>ax.bar(df2["カテゴリ"], df2["値"], bottom=df["値"], label="data2", color="orange")</code> で2つ目のデータ系列の棒グラフを描画します。</li>
<p>    *   <code>bottom=df["値"]</code> とすることで、1つ目のデータ系列の棒グラフの高さの上に積み上げて描画されます。</p>
<li><code>ax.legend()</code> で凡例を表示しています。</li>
</ul>
<h3><span id="toc7">4.2. 構成割合を示す積み上げ棒グラフ</span></h3>
<p>積み上げ棒グラフは、各カテゴリ内での要素の構成割合を視覚的に示すのにも適しています。ここでは、各カテゴリを100%として、各データ系列が占める割合を示す積み上げ棒グラフの描き方を紹介します。データ分析において、各要素の比率を比較するのに非常に有効です。</p>
<div class="codecell"><pre><code class="language-python">
# 既存のDataFrameを活用
# date={"カテゴリ":["A", "B", "C", "D"], "値": [5, 7, 3, 4]}
# df=pd.DataFrame(date)

# date2={"カテゴリ":["A", "B", "C", "D"], "値":[6, 5, 4, 6]}
# df2=pd.DataFrame(date2)

# 構成割合を計算
df_total = df["値"] + df2["値"]
df_ratio = df["値"] / df_total
df2_ratio = df2["値"] / df_total

fig, ax = plt.subplots()

ax.bar(df["カテゴリ"], df_ratio, label="data", color="skyblue")
ax.bar(df2["カテゴリ"], df2_ratio, bottom=df_ratio, label="data2", color="orange")

ax.set_title("構成割合を示す積み上げ棒グラフ")
ax.set_ylabel("割合")
ax.legend()
plt.show()</code></pre></div>
<p><img decoding="async" 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
" alt="figure" style="max-width:100%;height:auto;" /></p>
<h2><span id="toc8">5. その他のカスタマイズと応用</span></h2>
<p>棒グラフをより見やすく、目的に合わせてカスタマイズするための方法を紹介します。色や幅の調整、枠線の追加など、様々なカスタマイズが可能です。</p>
<h3><span id="toc9">5.1 カテゴリラベルの回転</span></h3>
<p>カテゴリのラベルが長い場合、ラベルが重なって読みにくくなることがあります。<code>plt.xticks(rotation=角度)</code> を使用することで、カテゴリラベルを回転させて表示を改善できます。</p>
<div class="codecell"><pre><code class="language-python">
# ラベルが長い場合のサンプルデータ
long_labels_date = {"カテゴリ": ["非常に長いカテゴリラベルA", "少し長いカテゴリラベルB", "カテゴリラベルC", "カテゴリラベルD"], "値": [5, 7, 3, 4]}
long_labels_df = pd.DataFrame(long_labels_date)

fig, ax = plt.subplots(figsize=(8, 5)) # 図のサイズを調整して見やすくする
ax.bar(long_labels_df["カテゴリ"], long_labels_df["値"], color="skyblue")
ax.set_title("カテゴリラベル回転前")
ax.set_xlabel("カテゴリ")
ax.set_ylabel("値")
plt.show()

fig, ax = plt.subplots(figsize=(8, 5)) # 図のサイズを調整して見やすくする
ax.bar(long_labels_df["カテゴリ"], long_labels_df["値"], color="skyblue")
ax.set_title("カテゴリラベル回転後 (45度)")
ax.set_xlabel("カテゴリ")
ax.set_ylabel("値")
plt.xticks(rotation=45, ha='right') # ラベルを45度回転させ、右端を基準に配置
plt.tight_layout() # ラベルが重ならないようにレイアウトを調整
plt.show()</code></pre></div>
<p><img decoding="async" 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B2hFAAAANYRSgEAAGAdoRQAAADWEUoBAABgHaEUAAAA1hFKAQAAYB2hFAAAANYRSgEAAGAdoRQAAADWEUoBAABgHaEUAAAA1hFKAQAAYB2hFAAAANYRSgEAAGAdoRQAAADWEUoBAABgHaEUAAAA1hFKAQAAYB2hFAAAANYRSgEAAGAdoRQAAADWEUoBAABgHaEUAAAA1hFKAQAAYB2hFAAAANYRSgEAAGAdoRQAAADWEUoBAABgHaEUAAAA1hFKAQAAYB2hFAAAANYRSgEAAGAdoRQAAADWEUoBAABgHaEUAAAA1hFKAQAAYB2hFAAAANYRSgEAAGAdoRQAAADWEUoBAABgndVQevDgQbVv315hYWGqUqWKHn30UR0+fNhmSQAAALDAWig9efKk7r77brVr104JCQn6/fffFRAQoGnTptkqCQAAAJYUtXXgyZMnq06dOurRo4ckqUSJEpo3b578/f1tlQQAAABLrM2UrlixQq1bt3ZrI5ACAAD8PVkLpfv371fZsmXVs2dPXX/99apTp45Gjx6tjIwMr/2dTqccDofbAgAAgGuDtVCamZmp0aNHq3Pnzvr999+1bNkyLV68WEOGDPHaf+zYsSpTpoxriYiIKOSKAQAAUFCshdLrrrtOvXr1UvPmzeXn56ebbrpJw4cP1/z58732Hzp0qJKTk11LfHx8IVcMAACAgmLtg05NmzaV0+n0aA8MDPTaPzAwMNt1AAAAuLpZmyl96aWXNHXqVG3YsEGS9Mcff2jUqFF66qmnbJUEAAAAS6zNlFavXl0ffPCBBg8erIMHD6p06dLq2rWrhg4daqskAAAAWGItlEpS8+bN9e2339osAQAAAFcAqz8zCgAAAEiEUgAAAFwBCKUAAACwjlAKAAAA6wilAAAAsI5QCgAAAOsIpQAAALCOUAoAAADrCKUAAACwjlAKAAAA6wilAAAAsI5QCgAAAOsIpQAAALCOUAoAAADrCKUAAACwjlAKAAAA6wilAAAAsI5QCgAAAOsIpQAAALCOUAoAAADrCKUAAACwjlAKAAAA6wilAAAAsI5QCgAAAOsIpQAAALCOUAoAAADrCKUAAACwjlAKAAAA6wilAAAAsI5QCgAAAOsIpQAAALCOUAoAAADrCKUAAACwjlAKAAAA6wilAAAAsI5QCgAAAOsIpQAAALCOUAoAAADrCKUAAACwjlAKAAAA6wilAAAAsM5qKN22bZsCAgIUHh7utixfvtxmWQAAAChkRW0ePCEhQQ0aNNC3335rswwAAABYZnWmNDExURERETZLAAAAwBXAaihNSEjQddddZ7MEAAAAXAGsz5SeOHFCDz74oKpWraqGDRtq9uzZXvs6nU45HA63BQAAANcGq9eU+vn56ejRo5oxY4aioqL0ww8/qH379srIyFDv3r3d+o4dO1YjR460VOk547Yfs3p8FJyX6le0XQIAAH9rfsYYY7uIC40fP17Lly/X1q1b3dqdTqecTqfrtsPhUEREhJKTkxUcHFwotRFKr122Qilj6trEmxwAOMfhcKhMmTI+5TWrM6XGGPn5+bm1ZWZmerRJUmBgoAIDAwurNAAAABQiq9eUtmvXToMGDdKpU6ckST/88IOmTp2qnj172iwLAAAAhcxqKH333Xf1119/6aabblJISIieeOIJvfrqq3rqqadslgUAAIBCZvX0fVhYmObNm2ezBAAAAFwBrM6UAgAAABKhFAAAAFcAQikAAACsI5QCAADAOkIpAAAArCOUAgAAwDpCKQAAAKwjlAIAAMA6QikAAACsI5QCAADAOkIpAAAArCOUAgAAwDpCKQAAAKwjlAIAAMA6QikAAACsI5QCAADAOkIpAAAArCOUAgAAwDpCKQAAAKwjlAIAAMA6QikAAACsI5QCAADAOkIpAAAArCOUAgAAwDpCKQAAAKwjlAIAAMA6QikAAACsI5QCAADAOkIpAAAArCOUAgAAwDpCKQAAAKwjlAIAAMA6QikAAACsI5QCAADAOkIpAAAArCOUAgAAwDpCKQAAAKwjlAIAAMA6QikAAACsI5QCAADAOkIpAAAArCOUAgAAwLorIpQmJCSofPny6tq1q+1SAAAAYIH1UGqMUXR0tMLDw22XAgAAAEush9JJkyYpICBADz30kO1SAAAAYInVULpz506NGzdOb731ls0yAAAAYFlRWwc+c+aMOnXqpHHjxqlq1aq59nc6nXI6na7bDoejIMsDAABAIbIWSgcPHqxq1aqpR48ePvUfO3asRo4cWcBVAQAASRq3/ZjtElBAXqpf0XYJXlk5fb9mzRotWbJE7733ns/bDB06VMnJya4lPj6+ACsEAABAYbIyU/r555/r6NGjCgkJ8Vg3b948rV27Vi1btnRrDwwMVGBgYGGVCAAAgEJkZaZ0ypQpMsa4LTExMYqOjpYxxiOQAgAA4Npm/SuhAAAAAGsfdLrYiBEjbJcAAAAAS5gpBQAAgHWEUgAAAFhHKAUAAIB1hFIAAABYRygFAACAdfkaSjMyMvJzdwAAAPib8DmUDhgwINc+N99882UVAwAAgL8nn7+ndOXKlXrzzTd1xx13yM/Pz2P98OHD87UwAAAA/H3k+fS9w+HQhx9+qLS0NH344YdKTk5W//79dfTo0YKoDwAAAH8Duc6Ufv7554qNjdXp06d15MgRBQYGKjIy0vXfYsWKqXLlyjp48GBh1AsAAIBrUK4zpVlZWdq/f79OnDihFi1aFEJJAAAA+LvJNZS2bdtWkydPVmhoqH755RcdO3ZMs2bN0tGjRzVr1iwdP35cK1asKIxaAQAAcI3y+YNO53Xv3l2HDx9Wt27ddPjwYXXv3l1+fn6qV69eAZQHAACAvwOfP+hkjJEkxcTEKCoqStdff71riYqK0o4dO+RwOLRgwYICKxYAAADXplxnSo8ePaqgoCC98cYbks6F0927d3vt++STT+qnn37K3woBAABwzcs1lH7wwQd67bXXVKdOHR06dEi1a9dWu3btCqM2AAAA/E3kGkr79++vvn376ttvv9XSpUs1atQo/fXXX6pVq5aioqJcp/XP8/PzU7NmzQqsYAAAAFx7fPqgk7+/v5o0aaImTZpo/PjxmjdvniZMmKAGDRro1VdfVZEief4OfgAAAMAlz2myWLFi6tmzp3bu3KnWrVsTSAEAAHDZLjlRlixZUo0aNcrPWgAAAPA3xTQnAAAArCOUAgAAwDpCKQAAAKwjlAIAAMA6QikAAACsI5QCAADAOkIpAAAArCOUAgAAwDpCKQAAAKwjlAIAAMA6QikAAACsI5QCAADAOkIpAAAArCOUAgAAwDpCKQAAAKwjlAIAAMA6QikAAACsI5QCAADAOkIpAAAArCOUAgAAwDpCKQAAAKyzFkodDoeeffZZRUZGKiIiQg0aNNB///tfW+UAAADAoqK2Dvzoo48qJCREe/bsUVBQkL788ku1a9dO4eHhatSoka2yAAAAYIG1ULpgwQKVLl1agYGBkqR77rlH1atX1+bNmwmlAAAAfzPWQmnFihVd/3/mzBnNmzdPe/fuVdOmTW2VBAAAAEushdLzIiIilJiYqLp162rZsmW67bbbvPZzOp1yOp2u2w6Ho7BKBAAAQAGzHkrj4+N18uRJvfnmm5o3b57uuecelSpVyqPf2LFjNXLkSAsVAsDVYdz2Y7ZLQAF5qX7F3DsBV7kr4iuhypYtq1GjRunQoUOaMWOG1z5Dhw5VcnKya4mPjy/kKgEAAFBQrITSrKwsrVy50qO9YsWKOnz4sNdtAgMDFRwc7LYAAADg2mAllP7111/q0aOHRo4c6bpOdPXq1Vq9erXatGljoyQAAABYZOWa0pCQEG3dulUvvfSSqlatKmOMQkJCNHfuXN133302SgIAAIBF1j7oFBUVpcWLF9s6PAAAAK4gV8QHnQAAAPD3RigFAACAdYRSAAAAWEcoBQAAgHWEUgAAAFhHKAUAAIB1hFIAAABYRygFAACAdYRSAAAAWEcoBQAAgHWEUgAAAFhHKAUAAIB1hFIAAABYRygFAACAdYRSAAAAWEcoBQAAgHWEUgAAAFhHKAUAAIB1hFIAAABYRygFAACAdYRSAAAAWEcoBQAAgHWEUgAAAFhHKAUAAIB1hFIAAABYRygFAACAdYRSAAAAWEcoBQAAgHWEUgAAAFhHKAUAAIB1hFIAAABYRygFAACAdYRSAAAAWEcoBQAAgHWEUgAAAFhHKAUAAIB1hFIAAABYRygFAACAdYRSAAAAWEcoBQAAgHWEUgAAAFhHKAUAAIB1VkPp7NmzVatWLYWFhalmzZqaNWuWzXIAAABgSVFbB16wYIFGjBihL774QrVq1dIvv/yiu+++W6VLl9bjjz9uqywAAABYYG2mdOvWrZowYYJq1aolSapZs6Y6deqkpUuX2ioJAAAAllibKZ05c6ZH208//aTQ0FCv/Z1Op5xOp+u2w+EosNoAAABQuKyF0gulp6drwIAB2rJli7Zs2eK1z9ixYzVy5MhCrgwAAACFwfqn7+Pi4tS0aVOtW7dOmzZtUu3atb32Gzp0qJKTk11LfHx8IVcKAACAgmI1lP74449q2LCh7rrrLm3fvl1169bNtm9gYKCCg4PdFgAAAFwbrJ2+j4uLU+vWrTVjxgw9/PDDtsoAAADAFcDaTOnTTz+tZ599lkAKAAAAezOlq1at0o8//qj33nvPY11CQoKFigAAAGCLtVBqjLF1aAAAAFxhrH/6HgAAACCUAgAAwDpCKQAAAKwjlAIAAMA6QikAAACsI5QCAADAOkIpAAAArCOUAgAAwDpCKQAAAKwjlAIAAMA6QikAAACsI5QCAADAOkIpAAAArCOUAgAAwDpCKQAAAKwjlAIAAMA6QikAAACsI5QCAADAOkIpAAAArCOUAgAAwDpCKQAAAKwjlAIAAMA6QikAAACsI5QCAADAOkIpAAAArCOUAgAAwDpCKQAAAKwjlAIAAMA6QikAAACsI5QCAADAOkIpAAAArCOUAgAAwDpCKQAAAKwjlAIAAMA6QikAAACsI5QCAADAOkIpAAAArCOUAgAAwDpCKQAAAKwjlAIAAMA6QikAAACssxZKs7KytHXrVg0cOFDly5fX3LlzbZUCAAAAy6yF0jlz5uj5559XiRIl5O/vb6sMAAAAXAGshdLu3bvru+++0+jRo1WqVClbZQAAAOAKwDWlAAAAsK6o7QJ85XQ65XQ6XbcdDofFagAAAJCfrpqZ0rFjx6pMmTKuJSIiwnZJAAAAyCdXTSgdOnSokpOTXUt8fLztkgAAAJBPrprT94GBgQoMDLRdBgAAAArAVTNTCgAAgGsXoRQAAADWXRGn72NjY22XAAAAAIuYKQUAAIB1hFIAAABYRygFAACAdYRSAAAAWEcoBQAAgHWEUgAAAFhHKAUAAIB1hFIAAABYRygFAACAdYRSAAAAWEcoBQAAgHWEUgAAAFhHKAUAAIB1hFIAAABYRygFAACAdYRSAAAAWEcoBQAAgHWEUgAAAFhHKAUAAIB1hFIAAABYRygFAACAdYRSAAAAWEcoBQAAgHWEUgAAAFhHKAUAAIB1hFIAAABYRygFAACAdYRSAAAAWEcoBQAAgHWEUgAAAFhHKAUAAIB1hFIAAABYRygFAACAdYRSAAAAWEcoBQAAgHWEUgAAAFhHKAUAAIB1hFIAAABYRygFAACAdYRSAAAAWEcoBQAAgHVWQ+ncuXNVu3ZthYeHq1GjRtq8ebPNcgAAAGCJtVC6cOFCvfzyy1q2bJkSEhI0ZMgQtWnTRgcPHrRVEgAAACyxFkpHjhypQYMGqUaNGpKkjh07qlmzZpoxY4atkgAAAGCJlVAaHx+vAwcOqG3btm7t7dq106pVq2yUBAAAAIuK2jhoYmKiJCk0NNStPTQ01LXuYk6nU06n03U7OTlZkuRwOAqoSk9nUlMK7VgoXA5HMSvHZUxdmxhPyG82xhTj6dpVmOPpfE4zxuTa10ooDQgIkCQVKeI+Uevn55dt0WPHjtXIkSM92iMiIvK/QPzteI4s4NIxnpDfGFPITzbGU0pKisqUKZNjHyuhNDw8XJJ06NAhVa9e3dV+6NAhhYWFed1m6NChGjBggOt2VlaWkpKSVKFCBfn5+RVswX9DDodDERERio+PV3BwsO1ycJVjPCE/MZ6Q3xhTBccYo5SUFI+z495YCaUhISGqW7euPv/8cz3//POu9tWrV+uBBx7wuk1gYKACAwPd2sqWLVuQZUJScHAwf6DIN4wn5CfGE/IbY6pg5DZDep61T98PGTJEEyZM0K+//ipJ+uSTT7RmzRo999xztkoCAACAJVZmSiXp8ccfl8PhUNu2bZWamqqwsDCtXLlS1apVs1USAAAALLEWSiWpd+/e6t27t80SkI3AwEDFxMR4XDIBXArGE/IT4wn5jTF1ZfAzvnxGHwAAAChA1q4pBQD8vV343dPA5WI8Xf0IpSg0Z8+etV0CrjK8yFy70tLS1K9fP02ePNl2KbgGMJ6uDdd0KD127Fi2606dOqXXX39dmZmZkqQWLVrof//7nyRp7ty5+uabbwqlxr+DU6dOaePGjWrZsqXS0tJsl4OrQHp6un755Rc1btxYf/75p+1yrkkJCQnWvuM5IyNDzZo1U/v27bV48WJt27bNbf2mTZt08OBBt7aXXnpJnTt3znafmZmZOnPmTLbLpVyptmzZMs2bN8+nvj/88MPf+k0U4yl3jKfcXVOhNDY2VlFRUa7blSpVyrZviRIltGbNGk2aNMmtPTk5WUOGDFHp0qW9bnfgwAHt3bs3z7Vt2rRJxYsXV1RUVLbL9u3b87xfX7Rs2VJz584tkH37YvLkyVq4cKE6dOigl19+2W1dXFycNmzY4Na2d+9e+fn5KSMjI9t95vRkkdN22UlKSlLv3r115syZXPvGxsbq0KFDkqSuXbtq4sSJuW7z0Ucf6ZZbbslTTQkJCSpatGiOY+bTTz/N0z591aNHD40YMaJA9u2Ljz76SIMGDdJLL72kp59+2m3dsWPHtGrVKre2M2fOyM/PTwcOHMh2n06nM9sxk56enuca09PT1aNHDyUlJeXa99ChQx4vileL1NRU+fn5Zbt07do1z/ssWrSoFi9erH79+mnFihVq0KCB2/phw4bps88+y9M+FyxYoBIlSmS77Nu3L0/7GzZsmEqWLKmZM2d6reXYsWNu971hw4aKj4/PcZ+ZmZmaNGmSatWqpbCwMIWHh+vRRx/Nc21XM8ZT/oynESNGKDAwUOHh4a6x1KZNG33xxRd5qutKc02FUl+NGTNGL7zwgoKCgrR06VL1799fBw4c0Ntvv62HH35YgYGBmj17tvr376+1a9e6bfvuu+9m+04nMzNT6enpysrK8rq+cePGio2NzXapX7++W/8TJ064fjO2sPz73//O8QnjUgwdOlTx8fGqVq2aXnvtNbd1X375pQYOHJjnfeb0ZDFs2LA87Wvr1q2aMGGCIiMjs31CHDdunDZt2iTp3HfsTp061aPP4sWL9ddff7m1NWnSRL1791ZmZqaKFs37l12Eh4fnOGbatWvn1t/hcPgUkvLToEGDchwzsbGxed5np06dFBERoSNHjnj8ve3evVtPPvlknvd50003ZTtm8rq/33//XX369NFdd92lDh06eA2177//vj755BNJ0qxZszR8+PAc9+nn56dKlSopPDxcFStWVIMGDTRr1qw81VUQgoKCZIzJdvH2hvf8rFlOy5gxY7R161aFhITkS51du3bNsc4aNWpku+3Ro0fVqFEjtWrVyvU33K1bNz3//PMaPXq0IiMjPbZJTk7WggULfK4vKytLHTt21AcffKCPPvpIiYmJ2r9/v2rWrKnbb789xzdU1xLGU/6MJ0m64447lJCQoMTERP3+++965pln9Mwzz2jUqFF5u7NXEKtfCZUf7r//fu3Zs0fSuVB48dc5nP9JU0mKiIjQli1bNGfOHA0ePFgtWrRwrbvw/89bvHixvv32W913332uth9++MEVolJTU3X33XcrMTFRR44ccYXRFStWeIQFSfruu++yHchNmjTRf/7zH7e2gQMHqlKlSho/frxH/927d6tIkSK6+eabve7vUi1btizP27Rs2VLr1q3Lsc+JEycUHBysIkXy533Q5XxpxMsvv6wFCxbo/fff1/3336+GDRtq4sSJatiwYbancz777DOFhYXprrvu0tatW3XkyBGPPrt27dL06dP15ZdfKjAwUHv27FF8fLx+/vlnNWrUSP7+/nmuNTExMdsxExkZqdWrV7u1TZkyRXv27NGSJUs8+sfGxrqeLPPTxIkTfZotvlCPHj00e/bsHPvs2bNHVatWVfHixS+nPJdLCcfnvfXWWxo1apTGjx+v6OhoVa1aVaVKldJ3332nIUOGeH3DsWHDBt14443q0KGDz8dZunSpWrRoIWOMli9frscee+ySQrM3aWlpbi/Y5/+GLn6zOXfuXEVHR1/WscLCwnTixIls10+cOFEJCQkqX778ZR3nvIyMjFzPkPj7+ysgIMCj3eFw6J///KfuuOMOlSlTRk2aNNHq1atVrVo1LV68WLVr1/Y6BtPT01WsWDGfa3z33Xe1Zs0a7du3TxEREZLOvbkeMWKEAgICCn0C4nIxnuyOp4sVK1ZMbdu2VY0aNVSrVi21bt1at9122yXvz5arPpRe+KIcGxvrES4TEhK8bteqVSuNHDlS33//vdf1Y8aM8QgDxhht27ZN9erVkySVLFlSr776qiIiIhQWFqaAgAAVKVJEJUuW9LrPRo0a6auvvvLtjkkKCAjIdtb166+/1ltvvaUff/zRI4g/+eSTWr58uev2mTNntG7dOnXr1s3V1qJFC61fv97nWnLyf//3f9me/jx06JBq1aqVbz8Ja4zx6Tqb7ILM6NGjtWzZMk2ZMkVdu3bV66+/rm7dumn27NmKi4tTnTp1vG53/gnj+PHjSkhIUJs2bbzuu3379urVq5fmzZun9957T127dtW6deu0ZcuWSwqlYWFhebpcJKcxs2fPHvXs2VO7du1SxYoV3da98sorbrO/TqdTGRkZGjlypKstKioq305BT58+PccgW7FiRZUsWTLfAqkvl2UEBgZ6PRuwYMECjRo1Sm+//bYGDRqkuLg4DR8+XBMmTNCPP/6oxo0be93f5bzI+Pn56aGHHlKrVq20ZcuWfAmlpUqVcns+XLdunV577TXt2LHD1daiRQu3cRoVFaU//vjDp/0vWLDA9abOz88vx7/5S/13ze5szaBBg7yevbj4mN99953b33hqaqratGmjqKgoTZ8+XX5+fqpcubKaNGmiZcuW6a677sp2f2lpaQoKCvK59v/85z967LHHXIH0Qq+88orP+7lSMJ7sjqfsVK9eXQ888IAWLVp0VYbSa/70/fl3PBkZGa53ciNGjFCFChV08OBBvfPOO9q9e7fb0rhxY504cUKtW7fWAw884NrX8ePHlZWV5Zp9LVKkiNq1a6d69eqpUqVKKlu2rIKDg7M9TXt+ptTb8tRTT3n0DwoKUmpqqtd9Pfvss7r++us1dOhQj3XvvvuuEhISXEuFChW0fft212mHOXPmeASkESNG5Hp65PzSsmVLt21LlSqlsmXLel0u5zeEvT1h7Ny5M8dT9zmdwp8yZYqmTp2qVatWqWPHjlq/fr1iYmL0yiuvKDg4ONtAKv3/J4ypU6eqSpUqXt+RFylSRHPnztXq1au1cOFCLViwQI888ogefvhhbdiw4bJmSr0t999/v0f/nMZMmzZt1LFjR68/WDF8+HC3MVOvXj0tX77cNWbWr1/vUf/cuXN9HjPVq1d327ZEiRLZjpnLeQPjbcycPHnSpzHjLfh9/PHHevbZZ/XJJ5/owQcf1KZNm7R06VJ169ZNxphsA6mUPy8yTqczX19YLnyMf/31V9WtW9fjeBfO/sTGxnqcthwwYIB69uzp0Z7Th0byg8PhyDZ8TJkyJcdTrWvXrpUxxi0QJiUlqVWrVvLz89PChQtdY6dv376aNGmS7r//fr311lvZ1nP8+HGPN3cXOnv2rLp06eJ6Q/Tzzz/n+5kt2xhP9sZTTmrWrOn6CferzVU/Uzp48GB98MEHks6dvi9RooTb+gtfDIcMGaJnnnnGbbBPmzbN45T11q1bddddd3mc5jx27JjXd7m+yutMaYUKFbKd6ZWkqVOnqlatWurbt6+uv/56V3vJkiVds7WHDx/WiRMn3J4ML36ikM6F0os/2PLTTz+pYcOGOnXqVL6ddveFw+FQ0aJFvYa4evXq5XjqPiMjQzfccIPbZRuSNHbsWI0dO9Z1GkWSatSooU2bNqlVq1batWuX5s+fr3Llynnd7/Hjx3X06FFNmDBBrVq18lg/efJkhYeHa8mSJZoxY4aGDRum6667TnXq1FFISIhefPFFlSlTJi8Pg6S8z5RWqFAhx2tKR48erapVq+rrr79Ws2bNXO3Fixd3PUFnZmbq559/dnuB8TZmunbt6nENbkpKioKDg5WYmKjQ0FCf675c5099enuRKVu2bK6Xe9x1110eY2bBggXq3bu3Fi1a5AqfVapU0YYNG9S2bVs1b95cS5cu9djuvNxeZJYtW6YzZ854ffE9c+aM1qxZow4dOrid4chPK1asUPfu3d3aUlJSVKpUqRy3i4uL06233logNeXk8OHDqlWr1iVtO27cOHXp0sXtDc/cuXMVEBCgzz//3ON1o1OnTqpcubIeeeQRff3113r33Xc9/n737duX489iDxgwQLt27XKNvaysLK+ne68VjKfCHU85McZc0iTIFcFcQ/bv329q1qzpup3b3duzZ4/ZsmWL2bJli6lfv76ZNm2a6/bRo0c9+m/evNncfvvt5uzZsz7XNHDgQBMZGWkqV65sAgMDTWRkpImMjDSSXP9/4fLUU0+5tp0/f75p3Lhxjvvv3Lmz6d+/f7br33nnHXPnnXe6tb3xxhumY8eOuda+cuVKc9NNN+XaLyfx8fE5/jvMmTPH3HrrrW5tn3zyiQkLC7uk4y1YsMCUL1/eOBwOV1tcXJypXLmy2bx5s9dtjh07Zu655x4TFRVltmzZ4rE+OTnZ+Pn5mZiYGBMTE2Oio6PNiy++aNLT082///1v06dPH1OqVClzzz33mH79+hljjGnevLmZMmWKax/16tUzERERXo+flZVlzpw547o9efJkExkZacLDw42/v79rbPj7+5vw8HC38XLdddeZVq1aubb9+uuvTeXKlXN8jIYNG2Y6dOiQ7fovvvjChIeHm6ysLFfb0qVLPf6dvNm9e7cpUaKE27aXwt/f3xw8eNDruvXr15sKFSq4te3YscMUKVLE7XH01caNG01AQICJjY11taWmppqIiAjz8ccfe93m1KlT5rHHHjMVK1Y0n376qcf6rKwsU7FiRfP9998bY4yJiYkxnTp1cq3fu3evKV++vFm0aJGrTZIJCQkx1113nfHz8zOSTK1atcxPP/2U5/uUmy+//NJUqFDBnDp1yq09NDTUbNy4Mdvtzp49a0JCQnLs44vXXnvNREdH+9w/IyPDhIaGmmXLluX5WHPmzDFlypQx8fHxbu2ZmZkmLS0tx21/++03U6dOHXPdddd5vCbce++95vXXX3fdlmT2799vjDFm+PDhJjQ01Pz++++u9XXr1jW9evXKc/1XA8ZT4Y+nmJgY07x5c6/Hadu2rRk4cGBe7tYV45oKpd9++62JjIw0MTExZsuWLdmGIafTaW666Sa3pUSJEiYiIsKtrVu3bm7bffPNN6ZJkybm6aefNtu3bzfffPONOXDggE+1bdy40W0AtWnTxvVilpKSYh555BHz8ssvu22zbds2ExQUZDIyMowx50L0H3/84dZnw4YNpnTp0iYlJcXjmOnp6aZq1apmyZIlbu0vv/yy6d69e641v/DCCz71y0luodSbIUOGmLZt2+b5WAkJCSY0NNRMmzbNY523x+dC6enp5vnnnzdFixZ1CwrGnAu6N954o+t2dHS0adeunQkKCjJBQUGmdOnSpmvXriYsLMwkJyeb/fv3myJFipjg4GBTpkwZU6ZMGVOsWDETEBDg9Q3NjBkzvD6hxsfHm8jISNftPn36mOnTpxtjzj2Z9+vXzy3oGGNMUlKS8fPzM3/++afrMdm1a5dbn9jYWOPv7+/2BHehZs2amfHjx7u1zZo1y9x7771e+19o6tSpPvXLTU6h1Ju3337b1K5dO8/HcTgcpnbt2mbAgAEe63IbM8YYM27cOOPv72/GjRvn1r5x40YTFBTk+ve+MJQeOHDAREZGmqFDh7ptI8msX7/eGGNMWlqa2bRpk6lZs6a577778ny/cpKQkGAiIiLM5MmT3dqdTmeuj/uYMWNMnTp1cj3G2bNnzV9//ZXtMnTo0DyFiE8++cQEBwf79G9yoc8++8wEBgaajz76KE/bXSg1NdXMnDnTrW3NmjWmePHiJjEx0dUmyWzbts106dLFREREmH379rltM2nSJFOqVCnX3+aFZs6cab766qtLrtEmxlPe5Nd4yi6U7t271wQGBppt27Zdco02XdWh9PfffzcvvviieeCBB0x4eLgpUaKEqVmzpnn33XfN0aNHjSQTFhbmthw4cMCcPn3a+Pv7u+2refPmZu3ata7b69ev93hx3bFjh4mKijJ16tQxWVlZJjo62rz99ts+1XpxKN25c6eJjIw0X3zxhalZs6bp1auXxyxPZmamCQkJMV9++aUxxphnn33WPPvss259srKy3Oq+UPfu3c2tt95q0tPT3dqffPJJExMTk2O9+/btM6VLlzY//PBDrvctKSkp2yeLXbt25SmUnj592lSuXNnMmzfP522MMebIkSOmfv36pl27dpc1S7dgwQJz6NAh1+20tDRzww03mEmTJrnaoqOjzSuvvGIWLVpkSpcubR577DETGhpq9uzZY4zxHqrnz59vihYt6jHztm7dOhMUFOQKIxe6OJQePnzYhIeHm08//dTceeedpn379ubEiRMe2912223mP//5jzHGmAkTJpjWrVt79Pnf//7n9XEaNWqUiYyMNCdPnnRrHz58eK5P+kePHjVhYWE+zT6cPHkyxxeZvITSrKwsU79+fTNy5Eif+p+XkpJiHnjgAdOwYUOPGZ68WLVqlVvwz8zMNM2aNTN9+/Z1tZ0PpWvXrjWVKlUygwcP9tjPhaH0vGnTpplatWpdcm0X+/HHH02NGjVcAfns2bNm5syZJjEx0Xz22WcmODjY67g4deqUGTx4sAkODvbpOWHt2rVGUo6LryHit99+M2FhYWbs2LE+389jx46Zp59+2pQuXdp88MEHPm/nix07dpgKFSq4PScYc+7fr3z58qZZs2bmyJEjHtulp6eb++67z9SvX981XpxOp5k6daopV66c2bFjR77WWRgYT5fvUsfTxaH0zJkzZvny5SYiIsJtxvVqc1WH0qSkJPP666+blStXmsTERNOmTRu3MJNdGMoplJ49e9acOnXKrFy50rRs2dKtT1xcnJFkXnvtNWOMMe+9956pXr26WbFihdm3b585cOCA+f77783XX3/tccyLQ6nD4TBLliwxRYoUMSNGjMj2Po4dO9Y0btzYrFq1ypQtW9b8/PPPuT4uDofDdO/e3YSEhLhOMSxbtsz8+OOPJikpyVStWjXH4PDZZ5+ZkJAQj5nb7ISFheX6hOGLjIwM06lTJ1O7dm2fL5HIyMgwixYtMhUrVjSdO3e+rHBxsVOnTpl27dqZBg0auNUTHR1typcvb4KDg03Dhg1NjRo1zN69e40x//901Icffui2r4MHD5oiRYqYevXqmbS0NPPHH3+YmJgYU7p0aY++510cSk+fPm3WrVtnihcvbrp27Zpt3R9++KGpVq2aWbdunalSpUq2b1ou5HQ6zbBhw0ypUqVcL46rV682GzduNMnJyaZp06Zm4sSJ2W6/ZcsWc+ONN5onnngi12MZY8ydd96Z65jxNZS+9NJLpkqVKiYpKcmn/llZWWbVqlUmMjLStGrVyhw7dsyn7XyRkZFhevfuba677jq3emJiYky5cuVMyZIlzZw5c7xue3EojYuLM40bNzbDhg3Ll9r++OMPExQUZF5++WXXG9WsrCxzxx13uB5zb2HZ4XCYqKgo07Bhw3y7lGD69Om5nl7MyMgw77//vilXrpzp2rWryczMzHW/KSkppm3btqZYsWKmVatWrtOf+al9+/Zenxv79OljpkyZkmOdZ8+eNePHjzc333yzCQ0NNdWqVTOdOnUqkDoLGuMpf1zqeIqJiTHFihUzYWFhJiIiwlSvXt08+OCDZt26dfleY2G6qkPpeRkZGeb55583d999t9s/4KWE0gMHDpigoCATGBhohg8f7nEcf39/17WJWVlZZtKkSaZWrVqmePHiJiAgwFSqVMnccsstHsfcsGGDufnmm82IESNM8+bNzc0332xOnTplPv30UxMaGmp69uxpdu7c6fW+9ejRw5QrV8688847Pj0ebdq0MXfccYfbi/r5U0eSTLVq1bI9bTFw4EBTtmxZn4+Vm8OHD7sFq+xs27bN3HnnnSYqKsr89ttvPu170qRJ5h//+IeJjIw0CxYsuMxKPX388cfm1ltvdTvdtnfvXtOrVy9TpUoVU6ZMGfPGG2+4BdaPP/7YBAUFeb22aMyYMUaS8fPzMyVKlDDt27fPcXbkjz/+MJUqVTLjxo0zDzzwgLnhhhvMwYMHzZYtW8wNN9xgOnbsaL755huv2w4bNsyUK1fOYwxnp0+fPqZGjRpu9XzwwQemXLlyRpKpWLGiiYuL87rttGnTTMmSJc2oUaN8eqL3RbVq1Tyu2brYgQMHTLt27UyFChVc127mZtGiRSYyMtJUqlTJvPnmm5d97evFtmzZYmrWrOl6k3Le999/bzp27Gh+/fXXbLc9/ziHhYWZKlWqmBo1apixY8e6Lt/JD96ulTfm3HXTOT3e2f3bF6SzZ8+aRx55xMyaNStP2y1YsMDj8c9P+T1mrmaMp8vHeHJ31YfS9PR007hxY/Pggw+a1NRUt3XZhdKsrCyze/dut7aLT99nZ/bs2T7PyBhzbgbqtttuM2XKlDH33XefGT9+vMds5/Hjx82wYcNM5cqV83RKITtJSUkep+yNOfdHGRsba5xOZ7bbnjx50iQnJ192DXk1Z84c06VLF3P8+HGft9m2bZv55JNP8vVF+2IXP2FMmzbNdOzY0SxevNhjvPnqzJkzuYa3Nm3amODgYNO0aVMzYsQIj1NcaWlpZvz48aZq1aqmd+/el1THxfvzFqQzMjJMXFxcjhfwnzlzxuvppYK2Zs0a0759e4/rrHNy8OBBM3/+/Ev6QJSveJEBgEvjZ8xl/DTOFSIxMVFhYWG2y8jWvn37VLVq1Vy/DiQ9PV3GmMv6VQdcG3777TeFhoZ6fLXIxYwxOn36dLY/2AAAwNXimgilAAAAuLpd87/oBAAAgCsfoRQAAADWEUoB4CrldDptlwAA+YZQCgBXobS0NPXr10+TJ0+2XQoA5AtCKQBcgoSEBPn5+Vk5dkZGhpo1a6b27dtr8eLF2rZtm9v6TZs26eDBg25tL730kjp37lyYZQJAnhBKAaAApaamys/PL9ula9eued5n0aJFtXjxYvXr108rVqxQgwYN3NYPGzZMn332WT7dAwAoHEVtFwAA17KgoCDl9Zv3EhISFBERkWOf6Ohobd26VeXLl7+c8gDgikEoBQAfpKWlKSQkxHX7fNC8+BT+3LlzFR0dfVnHCgsL04kTJ7JdP3HiRCUkJBBIAVxTOH0PAD4oVaqUEhISXMv8+fNVt25dmXM/1yxjjJo3by5/f3/XNlFRUTmeur9wWbhwoWs7Pz8/lS1bNtulePHil3QfbF0DCwC+YKYUAHxUtmxZ1///+uuvqlu3rtt6p9Pp9nPCsbGxHvsYOHCgUlJSNGvWrIIq0yuHw3HJYRYACgMzpQBwCVasWKGmTZu6taWkpKhUqVI5bhcXF6eqVasWZGleHT582O3yAwC40jBTCgB5tH79eu3fv1+dOnVyaz9x4oTbbOrF0tPTtXHjRvXr169A6/vqq6/cbmdmZuq7777jK6EAXNEIpQCQB4mJiYqOjtawYcNUokQJV/vZs2d15MgRhYeHZ7vtG2+8oX/84x+66667cjxGenq6kpOTs11/6tSpPNW8cuVKpaam6v7778/TdgBQmAilAOCjbdu2qVOnTmrWrJn69++v9PR0vffee+rQoYN27NihUqVKKTIy0mO706dPa8SIEXrnnXf05Zdf5nqcDRs26L777suxj6+f8P/999/Vp08fDR06VEFBQT5tAwA2cE0pAPggLi5OzZs310MPPaS5c+dKOvcl9gsXLlRYWJjatGmjp59+2uMT7ikpKbr55pu1fv16bd68Wbfeemuux2rZsqXbp/ovXqZPn66KFSvmuI/MzEzNnj1bt912m+677z4NHjz4ku87ABQGP5PXb3UGgL+pv/76S5UqVfJodzgccjgc2Z66j4+Pz/XL8PNbenq6OnfurJYtW6pnz56FemwAuBSEUgAAAFjH6XsAAABYRygFAACAdYRSAAAAWEcoBQAAgHWEUgAAAFhHKAUAAIB1hFIAAABYRygFAACAdYRSAAAAWEcoBQAAgHWEUgAAAFj3/wDpyr7s1+7y+QAAAABJRU5ErkJggg==
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WKFgoODVbRoUUnSl19+qUyZMun111932v7rr79Wrly5VLhwYUnSrVu3dPjwYUdb9/Hx0dq1a1WnTh1dvHhRQ4cOVa9evXTmzBlt3LjxnmMbTp8+rZCQEJeD7wGkc2anFgB4GFevXjWaNm1quLm5GfPmzXMs/+CDD4z33nvP+PHHH42+ffsaHh4e93wSr93vv/9ulC9f3siRI4dx7NixB65h2bJlD/zk3Ye50xAeHm40btzY8PDwMLZu3frA+924ccNYsGCBUa9ePcNisRgVKlQwDhw48MD7/xs2m83o3bu3Icnp38Ew/nenQZJRpUoV4/z58/d8n4R3Gh6E7rrTEBsba8TGxhqhoaGGJMfP9ivq3bt3N7p27Wps3LjRmDRpkvHaa68Zkoxt27Y5vW/COw0//fST44r7pUuXjJCQEMPd3d3o06ePERUV9UB1fvDBB0bp0qXvu5397+ruJ0IPGjTI8PDwMIYMGWLs3r3b+PHHH422bdsakoyvvvrKsd2GDRsMLy8v4/r16077R0REGBUrVjS8vLyMoKAg4+zZsy7rePHFF40uXbo80GcDkD4RGgCkKU2bNjX8/PyMlStXOi1fsGCBkSNHDsfJas+ePV2+T/fu3Q13d3fjySeffKjA8DBatWpl/Prrrw+07ZIlS4x8+fIZmTJlMr755puH+j1Xr141cuXKZTz77LPGokWLEnXXSg5hYWFG2bJljWnTpiVaZ7PZjHfeeceYNGnSfbu75M+f/4EDmP31IN2TLl68aNSsWdPInDmzIcnIkSOH0bBhQ+PDDz80XnjhBaNFixZO+ycMDbdv3zZ+/PFHo1+/foavr6/Rtm1bY82aNcazzz5rZMuWzejYsaOxYsWKe3b1MYw7gdTNzc04ffq0y89/r9BgGIaxcOFC47nnnjOyZMliZMqUyahYsaKxYsUKp21q1aplNG7c2PHz+fPnjTlz5hi1atUygoODjdGjRxt169Y1vL29jXr16hkjR440Vq1aZVy4cMGxT0REhJE5c2Zj3bp1LmsFkL5ZDCOJuQcBIJWKjIxUREREkg/NiouL0+nTpxUbG3vf6Ui3bdumkydPqlWrVi6nvkwpS5Ys0cyZMzVlypR7zlLkyq1btx75rET38yim5wwJCdGAAQP0yiuvPND2efPm1S+//KLKlSs7Lf/nn38UHBzsNJ3ulClTVKRIEZUpU0a5cuVyLP/+++917Ngx9e7d27Hsyy+/1MKFCzVjxgxVqFBBfn5+eu2119StWzdHlyHpThequXPnKi4uTgsWLHBZa/369fXkk0/qgw8+eKDP9rAMw1DVqlU1adIkXbhwQT169FBYWJhq1qyp119/Xc2aNXN0pTp+/Li+/vpr/fDDD9q1a5c2bNjgmDFq+vTpmjZtmvbv30/3JAD3RGgAACCBCxcuOIWMf2v//v2qX7++Dh06pICAgEdQWWLR0dHKkCGDYmJitHPnTj3zzDOOqVjvJeEUrbdv31bp0qX1+eefu3zCNQAQGgAASCaTJ0/WuXPnNG7cOLNLSdJnn32mCxcuaOzYsWaXAiCVIzQAAJCM7n74WmoSHx8vwzBSRRc9AKkboQEAAACASzz6EQAAAIBLhAYAAAAALqXZJ0LHx8frwoULypIlC1PEAQAAAA/JMAxFRkYqV65c951CO82GhgsXLihv3rxmlwEAAACkaefOnVOePHlcbpNmQ0OWLFkk3fmQvr6+JlcDAAAApC0RERHKmzev47zalTQbGuxdknx9fQkNAAAAwL/0IF39GQgNAAAAwCVCAwAAAACXCA0AAAAAXCI0AAAAAHCJ0AAAAADAJUIDAAAAAJdMmXI1NDRUFStWTLT86tWrql69ujZs2GBCVQAAAACSYkpoyJMnj0JDQ52W3bhxQ4UKFdKAAQPMKAkAAADAPaSa7kljx47V888/r9q1a5tdCgAAAIAEUsUToS9evKjJkydr165dZpcCAAAA4C6pIjR88sknqlGjhsqUKXPPbaxWq6xWq+PniIiIlCgNAAAASPdMDw03btzQF198oTVr1rjcbsyYMRoxYkQKVQU8vsbuv2J2CUgj3n4iwOwSAACphOljGhYuXKiAgABVq1bN5XZDhgxReHi443Xu3LkUqhAAAABI30y/0zBr1iy1adNGFovF5Xbe3t7y9vZOoaoAAAAA2Jl6p+Ho0aM6cOCAGjRoYGYZAAAAAFwwNTR8++238vPz01NPPWVmGQAAAABcMDU09O/fX9evX5ebm+lDKwAAAADcA2frAAAAAFwiNAAAAABwidAAAAAAwCVCAwAAAACXCA0AAAAAXCI0AAAAAHCJ0AAAAADAJUIDAAAAAJcIDQAAAABcIjQAAAAAcInQAAAAAMAlQgMAAAAAlwgNAAAAAFwiNAAAAABwidAAAAAAwCVCAwAAAACXCA0AAAAAXCI0AAAAAHCJ0AAAAADAJUIDAAAAAJcIDQAAAABcIjQAAAAAcInQAAAAAMAlQgMAAAAAlwgNAAAAAFwiNAAAAABwidAAAAAAwCVCAwAAAACXTA0Np06dUuPGjZU7d24FBwerefPmunjxopklAQAAALiLaaHhxo0bqlGjhho2bKjQ0FCdPHlSnp6e+uyzz8wqCQAAAEASPMz6xZ988onKlCmjTp06SZIyZsyoefPmyd3d3aySAAAAACTBtDsNa9asUf369Z2WERgAAACA1Me00HD8+HH5+fmpc+fOKlCggMqUKaNRo0bJZrMlub3ValVERITTCwAAAEDyMy00xMXFadSoUWrdurVOnjyp5cuXa8mSJRo8eHCS248ZM0ZZs2Z1vPLmzZvCFQMAAADpk2mhIV++fOrSpYuqVasmi8WiYsWKaejQoZo/f36S2w8ZMkTh4eGO17lz51K4YgAAACB9Mm0gdJUqVWS1WhMt9/b2TnJ7b2/ve64DAAAAkHxMu9Pw9ttva9KkSfrpp58kSWfOnNHIkSP1xhtvmFUSAAAAgCSYdqehcOHCWrRokQYNGqRTp04pS5Ysat++vYYMGWJWSQAAAACSYFpokKRq1app9+7dZpYAAAAA4D5M654EAAAAIG0gNAAAAABwidAAAAAAwCVCAwAAAACXCA0AAAAAXCI0AAAAAHCJ0AAAAADAJUIDAAAAAJcIDQAAAABcIjQAAAAAcInQAAAAAMAlQgMAAAAAlwgNAAAAAFwiNAAAAABwidAAAAAAwCVCAwAAAACXCA0AAAAAXCI0AAAAAHCJ0AAAAADAJUIDAAAAAJcIDQAAAABcIjQAAAAAcInQAAAAAMAlQgMAAAAAlwgNAAAAAFwiNAAAAABwidAAAAAAwCVTQ8O+ffvk6empPHnyOL1WrlxpZlkAAAAAEvAw85eHhoaqQoUK2r17t5llAAAAAHDB1DsN58+fV968ec0sAQAAAMB9mBoaQkNDlS9fPjNLAAAAAHAfpt9puH79ul555RUVLFhQTz/9tGbNmpXktlarVREREU4vAAAAAMnP1DENFotFYWFhmjJlikJCQrRnzx41btxYNptNXbt2ddp2zJgxGjFihEmV3tvY/VfMLgFpwNtPBJhdAgAAwL9mMQzDMLuIhD766COtXLlSu3btclputVpltVodP0dERChv3rwKDw+Xr69vSpfpQGjAg0hNoYE2iweVmtotAODRi4iIUNasWR/ofNrUOw2GYchisTgti4uLS7RMkry9veXt7Z1SpQEAAAD4f6aOaWjYsKEGDhyoW7duSZL27NmjSZMmqXPnzmaWBQAAACABU0PD9OnTdfnyZRUrVkyBgYF6/fXXNWzYML3xxhtmlgUAAAAgAVO7J+XOnVvz5s0zswQAAAAA92HqnQYAAAAAqR+hAQAAAIBLhAYAAAAALhEaAAAAALhEaAAAAADgEqEBAAAAgEuEBgAAAAAuERoAAAAAuERoAAAAAOASoQEAAACAS4QGAAAAAC4RGgAAAAC4RGgAAAAA4BKhAQAAAIBLhAYAAAAALhEaAAAAALhEaAAAAADgEqEBAAAAgEuEBgAAAAAuERoAAAAAuERoAAAAAOASoQEAAACAS4QGAAAAAC4RGgAAAAC4RGgAAAAA4BKhAQAAAIBLhAYAAAAALhEaAAAAALiUKkJDaGiosmfPrvbt25tdCgAAAIC7mB4aDMNQu3btlCdPHrNLAQAAAJAE00PDhAkT5OnpqSZNmphdCgAAAIAkmBoafv/9d40dO1ZTp041swwAAAAALniY9Yujo6PVqlUrjR07VgULFrzv9larVVar1fFzREREcpYHAAAA4P+ZFhoGDRqkQoUKqVOnTg+0/ZgxYzRixIhkrgoAAOC/G7v/itklIA14+4kAs0t4YKZ0T9q4caO+/vprzZw584H3GTJkiMLDwx2vc+fOJWOFAAAAAOxMudOwfv16hYWFKTAwMNG6efPmadOmTapdu7bTcm9vb3l7e6dUiQAAAAD+nyl3Gj799FMZhuH0Gj58uNq1ayfDMBIFBgAAAADmMX3KVQAAAACpm2kDoe/2/vvvm10CAAAAgCRwpwEAAACAS480NNhstkf5dgAAAABSgQcODf3797/vNiVLlvxPxQAAAABIfR54TMO6des0ceJEPffcc7JYLInWDx069JEWBgAAACB1eOjuSREREVq8eLGioqK0ePFihYeHq1+/fgoLC0uO+gAAAACY7L53GtavX6/Tp0/r9u3bunTpkry9vZU/f37Hf728vBQUFKRTp06lRL0AAAAAUth97zTEx8fr+PHjun79uqpXr54CJQEAAABITe4bGl566SV98sknypUrl44cOaIrV65oxowZCgsL04wZM3T16lWtWbMmJWoFAAAAYIKHfrhbx44ddfHiRXXo0EEXL15Ux44dZbFYVL58+WQoDwAAAIDZHnggtGEYkqThw4crJCREBQoUcLxCQkJ04MABRUREaMGCBclWLAAAAICUd987DWFhYcqcObM+/vhjSXfCw+HDh5Pctk2bNjp06NCjrRAAAACAqe4bGhYtWqQPPvhAZcqU0YULF1S6dGk1bNgwJWoDAAAAkArcNzT069dPvXv31u7du7Vs2TKNHDlSly9fVqlSpRQSEuLotmRnsVhUtWrVZCsYAAAAQMp6oIHQ7u7uqlSpkipVqqSPPvpI8+bN07hx41ShQgUNGzZMbm4P/Yw4AAAAAGnEQ5/te3l5qXPnzvr9999Vv359AgMAAADwmPvXZ/yZMmXSM8888yhrAQAAAJAKcZsAAAAAgEuEBgAAAAAuERoAAAAAuERoAAAAAOASoQEAAACAS4QGAAAAAC4RGgAAAAC4RGgAAAAA4BKhAQAAAIBLhAYAAAAALhEaAAAAALhEaAAAAADgkmmhISIiQj169FD+/PmVN29eVahQQStWrDCrHAAAAAD34GHWL27evLkCAwP1xx9/KHPmzPrhhx/UsGFD5cmTR88884xZZQEAAAC4i2mhYcGCBcqSJYu8vb0lSTVr1lThwoW1fft2QgMAAACQipgWGgICAhx/jo6O1rx58/TXX3+pSpUqZpUEAAAAIAmmhQa7vHnz6vz58ypXrpyWL1+up556KsntrFarrFar4+eIiIiUKhEAAABI10wPDefOndONGzc0ceJEzZs3TzVr1pSPj0+i7caMGaMRI0aYUCEAwExj918xuwSkEW8/EXD/jQD8K6liylU/Pz+NHDlSFy5c0JQpU5LcZsiQIQoPD3e8zp07l8JVAgAAAOmTKaEhPj5e69atS7Q8ICBAFy9eTHIfb29v+fr6Or0AAAAAJD9TQsPly5fVqVMnjRgxwjFO4fvvv9f333+vBg0amFESAAAAgHswZUxDYGCgdu3apbffflsFCxaUYRgKDAzU3LlzVadOHTNKAgAAAHAPpg2EDgkJ0ZIlS8z69QAAAAAeUKoYCA0AAAAg9SI0AAAAAHCJ0AAAAADAJUIDAAAAAJcIDQAAAABcIjQAAAAAcInQAAAAAMAlQgMAAAAAlwgNAAAAAFwiNAAAAABwidAAAAAAwCVCAwAAAACXCA0AAAAAXCI0AAAAAHCJ0AAAAADAJUIDAAAAAJcIDQAAAABcIjQAAAAAcInQAAAAAMAlQgMAAAAAlwgNAAAAAFwiNAAAAABwidAAAAAAwCVCAwAAAACXCA0AAAAAXCI0AAAAAHCJ0AAAAADAJUIDAAAAAJdMDQ2zZs1SqVKllDt3bpUoUUIzZswwsxwAAAAASfAw6xcvWLBA77//vr777juVKlVKR44cUY0aNZQlSxa1bNnSrLIAAAAA3MW0Ow27du3SuHHjVKpUKUlSiRIl1KpVKy1btsyskgAAAAAkwbQ7DZ9//nmiZYcOHVKuXLlMqAYAAADAvZgWGhKKjY1V//79tXPnTu3cuTPJbaxWq6xWq+PniIiIlCoPAAAASNdMnz3p7NmzqlKlirZs2aJt27apdOnSSW43ZswYZc2a1fHKmzdvClcKAAAApE+mhoa9e/fq6aefVuXKlbV//36VK1funtsOGTJE4eHhjte5c+dSsFIAAAAg/TKte9LZs2dVv359TZkyRc2aNbvv9t7e3vL29k6BygAAAAAkZNqdhm7duqlHjx4PFBgAAAAAmMe0Ow0bNmzQ3r17NXPmzETrQkNDTagIAAAAQFJMCw2GYZj1qwEAAAA8BNNnTwIAAACQuhEaAAAAALhEaAAAAADgEqEBAAAAgEuEBgAAAAAuERoAAAAAuERoAAAAAOASoQEAAACAS4QGAAAAAC4RGgAAAAC4RGgAAAAA4BKhAQAAAIBLhAYAAAAALhEaAAAAALhEaAAAAADgEqEBAAAAgEuEBgAAAAAuERoAAAAAuERoAAAAAOASoQEAAACAS4QGAAAAAC4RGgAAAAC4RGgAAAAA4BKhAQAAAIBLhAYAAAAALhEaAAAAALhEaAAAAADgkmmhIT4+Xrt27dKAAQOUPXt2zZ0716xSAAAAALhgWmiYM2eO+vTpo4wZM8rd3d2sMgAAAADch2mhoWPHjvr11181atQo+fj4mFUGAAAAgPtgTAMAAAAAlzzMLuBBWa1WWa1Wx88REREmVgMAAACkH2nmTsOYMWOUNWtWxytv3rxmlwQAAACkC2kmNAwZMkTh4eGO17lz58wuCQAAAEgX0kz3JG9vb3l7e5tdBgAAAJDupJk7DQAAAADMQWgAAAAA4FKq6J50+vRps0sAAAAAcA/caQAAAADgEqEBAAAAgEuEBgAAAAAuERoAAAAAuERoAAAAAOASoQEAAACAS4QGAAAAAC4RGgAAAAC4RGgAAAAA4BKhAQAAAIBLhAYAAAAALhEaAAAAALhEaAAAAADgEqEBAAAAgEuEBgAAAAAuERoAAAAAuERoAAAAAOASoQEAAACAS4QGAAAAAC4RGgAAAAC4RGgAAAAA4BKhAQAAAIBLhAYAAAAALhEaAAAAALhEaAAAAADgEqEBAAAAgEuEBgAAAAAuERoAAAAAuGRqaJg7d65Kly6tPHny6JlnntH27dvNLAcAAABAEkwLDQsXLtQ777yj5cuXKzQ0VIMHD1aDBg106tQps0oCAAAAkATTQsOIESM0cOBAFS9eXJLUtGlTVa1aVVOmTDGrJAAAAABJMCU0nDt3TidOnNBLL73ktLxhw4basGGDGSUBAAAAuAcPM37p+fPnJUm5cuVyWp4rVy7HurtZrVZZrVbHz+Hh4ZKkiIiIZKrywUTfjDT19yNtiIjwMrsEB9osHlRqabe0WTyo1NJmJdotHozZbdZ+Hm0Yxn23NSU0eHp6SpLc3JxvdFgslnsWPWbMGI0YMSLR8rx58z76AoFHLHHLBVI/2i3SGtos0prU0mYjIyOVNWtWl9uYEhry5MkjSbpw4YIKFy7sWH7hwgXlzp07yX2GDBmi/v37O36Oj4/XtWvX5O/vL4vFkrwF44FFREQob968OnfunHx9fc0uB7gv2izSItot0hrabOpkGIYiIyMT9f5JiimhITAwUOXKldP69evVp08fx/Lvv/9eL7zwQpL7eHt7y9vb22mZn59fcpaJ/8DX15eDAtIU2izSItot0hrabOpzvzsMdqbNnjR48GCNGzdOx44dkyStWrVKGzduVK9evcwqCQAAAEASTLnTIEktW7ZURESEXnrpJd28eVO5c+fWunXrVKhQIbNKAgAAAJAE00KDJHXt2lVdu3Y1swQ8Yt7e3ho+fHiirmRAakWbRVpEu0VaQ5tN+yzGg8yxBAAAACDdMm1MAwAAAIC0gdAAAAAAwCVCAwAAAACXCA0AAAAAXCI0AABgIuYjAZAWEBpwT3d/kfHFBgCPVnx8vCwWiyTp5s2bOnnypKKiokyuCnhw9nMDzhEef4QG3JP9i+zatWtOP3NgQGoVHx9vdgnAA4uPj5eb252v4bFjx6pVq1Z67rnnNHDgQJ0/f97k6oCk3X2ctZ8bcI7w+DP14W5I/ebOnas5c+aoV69eqlmzpvz9/WWxWGQYhuMAAaQGCU/ANmzYoGPHjilTpkx6/vnnVbJkSZOrAxKzt9ehQ4dq5cqVmjVrljJmzCir1arcuXObXB2QWMLj7KZNm/T333/r4MGDypAhg1q0aKGSJUsqc+bMTtvh8UFogEvXr1/XL7/8ohMnTqhGjRoKCAjQyJEj5e3tLW9vbw4MSBUStsMhQ4Zo7dq1CgwM1KlTp1StWjWNGTNGQUFBJlcJJLZ8+XKtXbtWW7duVY4cOZzWxcXFyd3d3aTKAGcJj7NDhw7Vli1bVLFiRQUHB2vdunXat2+fihUrpg8//FD+/v5cXHwM8URouBQVFaWRI0eqcOHC8vT01KRJk5QxY0ZVqFBBXbp0UdmyZc0uEelcwi+mESNGaPny5dq0aZOCgoK0Zs0aTZo0SfPmzVOePHlMrhRIbOzYsbpy5YrGjx9/z5Bw7tw55cqViwAB0yQ8zg4fPlzffPONNm/e7LgYExcXp9mzZ2vFihXKly+fxo8fryxZsphZMpIBl4jhkpeXl65evapdu3apffv22r9/v+rWraupU6eqUqVK6tatm2bPnm12mUjH7F9k77zzjr744gtHYIiLi1OjRo3UsWNHLV26VGvXrtXu3btNrha4Iy4uTpK0b98+Rx/xpO7ahoaG6vPPP1dYWFiK1gcklPDCzIIFC3Tw4EEFBQXJZrMpPj5e7u7ueuONN9S0aVOdOHFCe/fulcT4hscNoQEueXp6atSoUdq6dau2b9+uq1evas6cOZo+fbo2b96s+Ph4de/eXR9//LHZpSKdu379uq5du6ZTp04pOjracVV29erVeuedd9SpUyc1a9ZMq1evNrlSQI72WaBAAW3YsEFhYWFJduXw9PTUvHnzdOrUqZQuEXDy999/67vvvlP+/PkdM3y5ubnJzc1NhmE4gkN8fLwWLFggSXRPeswQGuBSfHy8/P399fLLL2vevHkqV66c2rdvr86dO6tixYqaNGmSjh8/rrfeesvsUpFO2a9kTZs2Te3bt1fdunX1ww8/SJImTJigb7/9VmvWrNE333yjBg0aaOPGjYqPj+cKGFKFZ599VrGxsVq+fLlu3bol6U6bttlsku6EiypVqqho0aJmlgmoUKFCevvtt+Xn56fmzZvr1KlTcnNzc0wbHBcXJzc3N7Vp00a3b9/mOPsYYiA0HOx9FhP2XbRfRahWrZpeeeUV9e/fXyNGjJB05/Z6xowZlS9fPkliUDRMYf+ycnd31/Tp02UYhlq3bq0mTZpoz549OnTokAoUKCBJ2rNnj86ePUs7hensx8smTZpowYIFev/995UxY0Y1atRI/v7+8vC48/XcoUMH5cmTRwEBASZXjPTMfl7QuHFjubm5aebMmerVq5cmT56sggULOk3DeurUKRUtWpTj7GOIf9F0LiIiQnv27JGkRIFhy5Yt+uOPPyRJjRs3VteuXWWxWBQbGyubzZZoUB4HCJglYdubMWOGWrVqpdmzZ6tPnz6OwCBJ3333HbMoIVVwc3Nz3E1YuXKlnnrqKY0cOVKNGjXSJ598otGjR6tu3brKlCmTpk2bJon+4TCP/eKMJDVs2FCdOnWSu7u7evfurZMnT8rNzc1xTvDnn3+qRIkSZpaLZMJZXjpmGIY2bNig999/X4sXL5b0v+Bgs9n0+eefa/LkyY7tS5Uqpe+//17R0dGOq2BASrNarY4/20+i7EH34MGDkqTJkyera9euGjBggKOrUv369eXr66tBgwalcMVIz8LCwvT11187LbO32xkzZuijjz6SJK1fv15DhgxRkSJFtGTJEl28eFENGjRw7JvwydGAGdzd3R13FOyTTLi7u6tXr166cuWKpDvHWR8fHzVv3tzMUpFMCA3pmMViUa1atVSgQAGtXr1aS5YscSz38PBQ9erVHVcWJKlXr146f/68Y4ATkNKioqL05Zdfat68eZLutFX7l9ihQ4c0e/ZsnT17VtKdMQ6vvfaamjRpopIlSypbtmxaunSpJJ4cjeSV8I5ATEyMWrZsqT59+jiW2U/+c+XKpaVLlzrGMnTp0kVz587Vtm3bNGXKFPXt21cSXT+RslwF3S+++ELjx4+XdKcHQufOneXt7a0OHTqoYsWK8vPz0/z58532weODo1A6tW/fPs2aNUseHh4aOXKkAgMDtWLFCqcDRWRkpG7cuCFJjtvo69evV48ePcwoGVBMTIxOnjyppUuXOkKu/WTKw8NDCxYsUEREhGP76dOnq2nTpipSpIi++uorSZyAIfnZQ8H169eVJ08e7d27V3PnzlW/fv2ctvP29taVK1ecun5Iibt60l6R3B4m6C5evFjR0dGS7nRVeuONN3Tp0iUVLFhQixYtksSdsccVR6J0bN68eRo/fry8vb01bNgwBQcHa8WKFY6uSrdu3XJckbV3R3r22WclcaUWKe/EiRNyd3fX4MGDVaFCBS1atMjRViUpODhYWbNmdXz52U/CZs2a5ZhmlcCAlHLq1Cm1bNlSP//8s5544gn9/PPPmjlzplNw8PPzU44cOZQxY0anMWI8xA0p7WGDbsIZvho2bKiZM2c6BQaOs48n/lXTqQoVKmjIkCH6/vvvNXnyZPn7++udd95Rzpw5tWLFCq1du1ZRUVF64oknJCW+zcgBASnpypUrWrhwocaNGyfDMNSrVy+VKVNGixcvdnxR+fn5ydPT02mqyoTt1jAM2i1STIECBVSpUiXVrl1b27ZtU/ny5bV9+3bNnDnT0e3o/Pnzun37tsmVAnc8bND18PBwHGPLlSsniePs447RrI+xhDMh2f+c8ArAiy++qJiYGPXr10+BgYFq3769hgwZorFjx2rWrFnasGGDZsyYIYkHtMBcAQEBKlu2rGbNmqWZM2eqT58+6tmzpz7//HMtWbJEhmGoXr16stlsTlNTJmy3tGGktGHDhslms+m1117TqlWr9Mwzz2jHjh2qVKmS/P39lStXLvn7+0u60wWUCSZgpoRB94cfflDlypW1fft2Pf/88zIMQ5MmTUoUdO8+rnKcfbxxhHqMWSwWWa1WXbx4UeHh4SpXrlyiKwCNGzfW9evX1aVLF5UqVUpPP/20hgwZonHjxqlKlSrKlSuXSdUjvUoYdhP+3KRJE1mtVs2ZM0f+/v7q3r27OnXqpC+//FKrV6/W7t27FRMTI29vbxOrR3pyd1tNypAhQxQdHa3+/ftr1qxZKleunHbu3Klnn31WVqtVAwcOlCQCA1IFgi5csRgMb3+sHT58WJ9//rmuX7+ut956S08++aRjXcIvvJ49e8pqtWrKlCnKkCGDbt26patXrypv3rxmlQ44JGyr06ZN07Rp0zR16lRVrlxZx44d0+zZs7Vq1SrlyZNHmzdvNrlapCc2m03btm3TtWvXVKFCBYWEhCTa5vjx4xo9erQKFy6swYMHy9PTU8ePH9eAAQPUqVMnNWrUKOULR7r0IEH39u3bGj58uHbs2KFZs2apWLFiOnjwoFPQHTduXApVjNSEjmePOfsMBuXLl1f27Nmd1iU8cJQpU0Z79+5VhgwZJEmZMmVyBAZyJVJCfHy84uPjNXLkSH3wwQdOU/vanx8iSd27d1etWrXUtm1b3b59W0WLFlW3bt00cuRItW3b1qzykU6dO3dOf//9tz7//HNduXLFMatMQkWKFFHp0qW1fPlyxyDnIkWKaPHixQQGpCiLxSKbzaYff/xRK1as0OnTpxNtkzFjRnXu3FmFCxfWsmXLFBsbq7Jly+rgwYN66aWXVLly5ZQvHKkCoeExZrPZ5OXlpQIFCih37tyOQJBwaj+7OnXqKCwsTKGhoYlmRqKPIlKCm5ub3NzclCNHDmXLli3RyVfCZzK8//77CggI0NatWyVJISEheu211xyhgaCLlHL69GlFRUXp1q1bKlCggOM4a2dvsz179lRkZKS2bdsm6U4b9fHxcfwZSCkEXfxbdEZ7DMXFxcnd3V0eHh4qXry4ihcv7rT+8uXLCg8P14ULF1StWjW5ubnJMAy5u7srMjKSmQ9gmqtXr+rPP/9UWFiYGjRo4Fhuv6Vub6tZs2aVu7u7fvvtN9WvXz/R+xB0kVLKlSunwoULy8/PL9F4GvtMMvHx8bJarbJarY5n3zBIH2Z5kKDr5uamnj17atq0adq2bZuqVq2aKOjSbtMfQsNjyN3dXUePHtX27dt19OhRubu7KywsTMePH1d0dLTOnj2rmzdvqnnz5nr++efl6ekpf39/TZgwQSVKlDC7fKRj9nYYFhamPHnyOJbbb6l7eHg4vqiKFCkiq9VqVqlIx+wXZuLj45U9e3Zlz55dLVu2VFxcnC5duqS//vpL169f1/79+zVixAi5ubnJz89PJUuW5BkMMB1BF/8WoeExYxiG4uLi9N577ylDhgzKkCGDgoKCVLp0aRUpUkR58+ZV/vz5lTFjRvn6+srLy0uSlC1bNjVr1szxHhwQkFLsV7WioqIcX1TR0dH666+/dOLECZ09e1aXL1/Wzp07NXToUD3//POS7oQG5riHGdzd3XX8+HENHz5cVqtVkZGROnXqlGJjY5UhQwZdunRJ2bJlU6FChXTw4EGVLVtWkvTWW2+pTp06JleP9Iigi0eB0PCYsVgs8vDwUHx8vMqXL68BAwbcd5+7QwKBASnJzc1NoaGhql+/vjJkyCCLxaLLly/Ly8tLXl5eslgsKl68uAIDAxUUFOTYr0+fPsqaNauJlSM9W7p0qc6cOaNevXopR44ccnNzc0wg4e3trYwZMzq6ctjZAwMXZpDSCLp4FAgNjxn7VVsPDw/H1YH7fUHx5QWzhYaGKkuWLJo+fboKFSqkyMhIeXt7uwwF9nWcgMEM8fHxKlmypFq2bHnP9VLS7ZP2CjMQdPFfERoeM/ZZOHx9fXXr1i1JfEEh9fP29lZERISKFSsmT09PeXt7O9qyYRiKj4+/5y1y2jfMkCNHDu3evVuSZLVaE/UNt08oQftEakHQxX/FNDlp0N1ToiZkP7G6evWqwsLCUqok4D+JiYnR+fPnFR4eLunOCZe9LVssFvrUItWJi4tztFdPT0+TqwHuL0eOHLp48aIkJTmJBEEX90NoSGPs3Y8kacGCBTp8+LDTevszGOx9wYHU4H7z0GfLlk3ZsmUjHCBVcHVhxt6Wb9++7diOaaqRFhB08V/RPSkNSRgYOnXqpO+//16HDh2SJF26dEmBgYGOk6733nvPMTMSYKaE7fby5cvKkSNHom3sV70IujBbwvY6ePBg1a9fX9WqVXOst7fR/Pnzy9/fXzdv3lSmTJkIDjBVwnZ7N3t3I4Iu/itaTRqR8IDQvXt3rV27Vr/++qv8/Pz09ddf6+WXX9bKlSsd25YuXVpFixblSaMwVcJ2269fP73zzjuy2WyJtvP29pavr6/LK7xAckvYXnv27Knx48c7nl1z7NgxRUZGOrZ99tlnNWfOHGXOnJkTMJjq7qD7008/Oa1PKuhyrMW/YTE4q0z17g4My5Yt06FDhxQcHKyZM2eqa9euypMnj2rVqqU5c+aYXC1wR8J226NHD3311Vc6duyYAgMDtW3bNoWGhqpFixaO7aOiouTj48MsHTDF3cfZ5cuX69ChQwoKCtK8efPUoUMH9erVS5999pnTfrRXmOnuoPvFF1/o4sWLypkzp44dO6bg4GBlyZJFknT27Fn5+PjI39/fzJKRhnF5JA1IeECwf5EFBwdr1qxZ6tatm3bs2KEdO3Zow4YN+uOPP0yuFkg66P71118KDAzU7NmzVbVqVX366ac6deqU426Yfao/TsCQ0uxPwZX+114PHjyooKAgzZo1S507d9abb76pjRs36uDBg0770l5hlruPs0uXLtX58+eVM2dOzZs3T8WLF9e7777r2D5fvnzy9/enBwL+NUJDGjF69GhNmzbNKTB06dJFa9euVcWKFR1T/l29etXsUpHO3X0Ctnz5ch08eNDRbrt27apPPvlEERER2rVrFyddMJ29DXbo0EErVqxIdJxduXKlJkyYIEm6cOGCmaUCkgi6MAehIY3o06ePwsLCHAcEe2CoX7++4uPjVahQIeXMmdMxMJorCTCL/Qupc+fO+uabbxyB4csvv3ScgPXt21c1a9bU+vXrJf1v1i/ALD/99JN+++037d+/P9GFmQYNGkiSypQpo82bN5tcKUDQhTkIDWmAzWZTlixZFBAQoBkzZqhHjx5OgcE+oMnLy0t+fn6SuJIAc126dElHjhzR77//7nSHYe3atXrppZckSSEhITp69KgkMdUqTFe6dGnt3r1buXLlSnRhJjY2VpKUMWNGxzz3gNkIukhpTLmayiQ1qM7D484/0+HDh9WtWzetXr3aERjc3Nzk5uamy5cv68SJE0lOZwmkJMMwFBgYqK1bt8rT01OzZ89OdALm6empkJAQ7jAg1bAPDp09e7Y6d+6sb7/9Vi+++KLi4+Mdx+R8+fLp1q1bkhgADfPZg66Pj0+SQdfT05Ogi0eK0JBK2L+A4uPj5e7unuScywULFtTx48dVqFAhx3r7fyMjI5UnTx4VKlTIpE8A3GE/kfL09NT06dPVvXt3pxMwewi2Wq1yc3NTbGysLBaLYzmQXO53on/mzBnNmTNHa9eudbRXNzc3GYah2NhY/fzzz3rttdckcTcX5iPoIqXRPSmVsFgsstlsevrpp7VkyRLHF1VCmTJlcoQCe6BIODdzlixZCA1IMQ9yl+DYsWNasWKF0wmYvTvdb7/9pieffFKenp4EBqQIi8Uiq9WqU6dOJbk+f/78WrZsmRo0aOB04cbefe7KlSsqWLBgitUL3G984r2CrsVicQRde5slMOC/IjSkIh4eHmrcuLHatWunVatWyWKxPNCA5tOnT6t48eIaNmyYJPHQFqQId3d3RUVF6ddff73nNhMmTNDLL7+c5AnYDz/8oCJFiqRIrYB059g4YsQI9enTR0eOHHFaZz/WBgUFSUr8xNzevXvLx8dH9evXT5liARF0kboQGlKZ4cOH68MPP1TTpk0dweF+ISAkJEQDBw5U1apVJfF4eKScWbNmqWLFivrhhx9cbnd3m5w+fbosFou6du2anOUBTtzc3PT000/Lz89PY8aMcQoO97sKW7t2bQ0dOlQSs9Mh5RB0kZrwROhUwP6MhYRXCSZMmKBBgwZp9erVeumll+iLiFTr3Xff1aRJk7R69WrVqlXrgfY5duyYIiMjVaZMGXl5eSVzhYCz9evXa+HChfLw8NCQIUNUokSJB9rPZrPRlQ4pbuXKlVqxYoUsFstDtdfly5fLy8tLjRo14hwCjwShwWShoaH64osv1KxZM5UrV84pOIwePVofffSR1q5dq2rVqplcKeDMPjuHJL399tuaPHmy1q5dq5o1a/IFhVTl+vXrypAhgzJmzOhYtmHDBi1YsEAZM2bUO++8w3gwpGoEXaQG9GMxQcKcFhcXpzNnzqhr1646fPiw00DRvn37qlOnTho1apRCQ0PNKhdwcuzYMd26dUuenp6KiYmRJI0dO1a9e/dW48aNtX//flksFqZTRarwzz//6NNPP9W8efMUHh7uWP7iiy+qWbNmunz5sr766ivdvHnTxCoBZ9evX9ft27cdP9evX19t2rSRzWbT+PHj9ffffz/Q+xAY8CgRGkyQ8Aps/vz5NXDgQJUrV84pOBiGocyZM6tx48a6evWqTpw4IYm+tDBXbGysVq5cqXLlyunGjRvy8vJyCg6vv/66XnzxRV28eJEHtsFUCft737p1S4sWLdI333zjFBxeeeUV1a5dW0uWLNH58+ed9gPMQtBFakVoSEGbN2/Wm2++qbFjxyoiIsJxR6FcuXLq0aOHSpUqpR49ejiu1EpStWrVFBgYqDlz5phZOtKphCdQhmHI09NTzZo1U7FixVSrVi1HcLA/MXfcuHGqWLGixowZI5vNxgkYUpz96mzCizMff/yxqlevrvnz52v58uWKiIhwrOvTp4/y5cvnmH2ObnUwC0EXqR2hIQV5eHgoY8aMKlCggHx9fZ1mOihXrpx69eqlXLlyacSIEbLZbIqOjpZ05zHwdnyhISUdPXpUMTExiouLc7S9ggULasqUKcqdO7eqV6+u8PBweXp6Kj4+Xr6+vqpSpYr27NkjDw8P2itS1E8//aT+/furTZs2CgsLk/S/KahHjhypypUra/HixZo/f74iIyMd65o2bap//vmH6aphCoIu0gpCQwqxWq3asmWLdu/erWvXrslmsyXapmzZsho+fLjmzJkjDw8PZciQQZJ0/vx5R4AAUoJhGIqMjFT79u3Vp08fLV682Gl9SEiIPvvsMxUoUEBlypRRRESE44FCr732mo4dO6bDhw+bVD3SqwwZMqhBgwYKDg5Wzpw5JclpnNioUaNUunRp/fTTT3Jzc3NcuClRooQuXbrkdAcYSAkEXaQlhIYU4u3trQ8++EDDhw9XgwYN5OHh4ejSIf3v9mKJEiWULVs2x4Hg5s2bypIli4oXL+60HZCcLBaL3N3dVa5cOZUvX17PPfdcom1CQkI0fvx41a5dW7du3XIs9/T0dDpRA1LKpk2btH79ev3yyy8yDMNxjE3YHj/99FPNmjVLPj4+jv22bdsmHx8f+fn58ZwbpCiCLtIShtWnAPvUlPv27VP16tVVqFAh/fXXX/L09HRMh3b37UX7gSFz5sxq0aKFIzRwGxIp5cCBAypZsqTOnDmjgICAJLcpVKiQvvzyS7m5uSkuLk7u7u46ePCgfHx8eAopUtx7772na9euaf78+bJYLI5uc/aTLfuffX19HdMC2yedqFixomw2m9zd3TnOIsVs2rRJFy5c0P79+2UYhmw2m9OFFzc3N3366aeKiIi4Z9AFUgqhIZnFxcXJ09NTv//+uypXrqyhQ4fqwIEDKlu2rA4dOiQPD4/7zqNcvXr1lCsY+H+VKlVSwYIF9e677zp9Wd3NHnDtsyXlypVLDRs2dMyqBCQ3e2A9cOCAKlWqpCJFiuj27dt6++23nU6+Et5FsAcDi8Wijh076saNG0xPiRRH0EVawsPdklHCL7LnnntOgwcP1vvvv6+YmBi9+OKL+ueff3To0CG5ubnxABakGvZ2u2/fPj3//POyWq2qWbOm1qxZo0yZMt13f5vNptjYWKcHaQHJ5e7A0LdvX5UuXVqrVq1ShQoV9Pbbb8tisTg9ODMhHkQIMyQVdFu0aHHf9mp3+/Zt3bhxQ8HBwSlYNdI7Om8mk7sDw9tvv633339fkuTl5aUNGzYoODhYZcqUUXx8vOOOA2CmhO22cuXKGj16tOLj43X58mU1bNjQaezCvdhnCQOS293H2bfeektjxoxR48aNVaNGDe3bt09jx46VYRj3HGdDYEBKSyroDho06IHaq3Qn6GbMmJHAgBRHaEgGhmEkCgzDhw93rDMMQ15eXvr2228VEhKip59+WoZhyMPDg4HOME1Sd8b69+8vSdq3b5+uXLnywMEBSG5JXZgZMWKEo+tG27ZtVbNmTe3bt09jxoyRJAbow3QEXaRlhIZkYLFYdP78eb3wwgsaNGiQIzDY19lvPXp7e+v111/X/v379eSTTzrWAynt7itfCYNuTEyM3N3dtX//fl2+fFkvvfSSoqKiTK4Y6Z27u7v27NmjKlWqOLVX+/E1c+bMat26tRo1aqQff/xRn332mSQxOxJMQ9BFWkcn+mSSPXt2zZ49W/Xr109yvZubmxYvXqx27dpp3rx5jkGkgBnc3d11+PBhVahQQcOHD3cKuvYnPnt6eurgwYMKCgpS165dNX36dJcDpIHkZLVa1bFjR3Xv3t2pvUpyzOaVJUsW2Ww2bd68WYZhqFSpUqpVq5ZJFSO9swfdGjVquAy6mTNn1oIFC5Q5c2b16dOHoItUg4HQ/5F9sJL9r/FBBjBJ0pIlS9SqVSvNnz9frVq1cpoVgbsNSGk2m02DBw9WUFCQ3nrrrXtu9+2336phw4bKkSOH3n//fXXv3j0FqwScXb16Vf7+/vdcv2jRIrVt21bTp09X1apVVaRIkRSsDnBmtVr1zDPPqF69eho3blyi9fY7EXPmzFHHjh1Vq1Ytvf322wRdpBqEhv8gYTi4fv26smXLds/1CdkDw4IFC/T66687BQ7ALDdv3lTmzJnvud7ebletWqWGDRumYGVIz+4+jj7IRRnpf+113rx5at26tWM5F2ZgJoIu0jLuef1LCb+4OnTooMqVKztmPzpw4IDi4uIIDEh14uLinH62tz/DMFx2NUrYbhs2bKj4+HjHoH4guSQ8zq5Zs0bXr193GRjs7TFhe23durVTW+VYi+R29xiEhD+7CgxLlixRmzZtNHfuXHXs2NERGDjOIrUgNPwLCb/I+vTpow0bNmjjxo3y8PDQ4sWLVadOHR0/fjzRfj/99JNef/11LVy4kMCAFBcfH+8YOzNx4kSdOXPGsc4+QD8pSQVdNzc3l/sA/1XC42yPHj00ZMgQR/vdvn27du/enWgfi8Wi+fPnq23btlyYgSkIunisGXgocXFxjj/37t3byJ49u3HhwgXDMAxj/vz5hsViMdatW5fkvpGRkcYPP/xgGIZhxMfHG/Hx8clfMGA4t9u+ffsaFovFuHz5smEYhvH1118bw4YNS3K/r7/+2rBYLMZXX31lGAbtFikjYXvt06ePkT17duP8+fOGYRjGggULDIvFYuzZsyfRfqGhoUZISIgxZ84cwzBor0hZCdtt9+7djZIlSxrh4eGGYRjGtm3bjF27diW537x58wxPT0+Os0j1CA0PIeH/xH369DH8/f2dAoObm5uxevVqwzCcDx6GYRg2m+2e7wUkp7uDbkBAgKPdLliwwHBzczO+/fbbRPvdvHnTqFevnrF48WLDMPgiQ8pIeKy8+8KM/eRq7dq1hmEkPo7evn3bOHfunGMd7RUphaCL9IDQ8C/079/f8PX1dXyRrVy50ukOg9VqNbM8wOF+d8bc3Nwc7fbuoGsYd+6OGQZfZEh5/fr1c2qvS5cuNdzc3IzNmzcbhpF0ewXMQNBFesGYhocUGhqq0NBQ/fXXXwoODtaCBQvUtGlT5c6dW9OnT5d0Z157g4FLSAUS9glfsmSJDh8+rODgYK1cuVLt27fXt99+qwYNGtxzRhr74GjGLyAlde/eXdOmTXO012XLlql58+Zq3bq1Y/pJ2iNSC/tYmzfffFNfffWVU7vt0KGDNmzYoJdeeknx8fGJ2m2GDBmUJ08eSRxnkfoRGh5Snjx5tGDBAgUHB2vhwoWOE6+///5bUVFRGj16tCS+0JB6zJo1S998840OHDjgaLdNmzZViRIl9MILL0hKPNuHHe0YZqhRo4ZOnjyp4OBgzZ8/Xy1atFCzZs3k7u6u7777ThJtE6kLQRfpAaHhX/Dy8nIEhjVr1uiFF15QfHy8GjVqpEOHDpldHuCkVKlSOnLkiHLlyqUFCxaoXbt2WrhwoWJiYhwPZ/Pw4OHwSB0Mw9Brr73maK8dOnTQ5s2b9fXXX+v27dtavny52SUCiRB0kS6Y3T8qLTpy5IhRsGBBx6Dn2NhYwzAM4+TJk0bOnDmNP/74w8zygCR99dVXToP1t23bZjzzzDPGTz/9ZHJlQGJfffWV4e7u7jQb3fHjx43s2bMbv/zyi4mVAc4SjkOwjxWzz5TYokULo2PHjmaVBjxS3Gm4j7sfhiVJOXPm1KZNm9SoUSPFx8c7rtJ6eHjIYrE80NNKgZS0atUqtW7dWmvXrlWjRo1kGIaKFy+uLFmy6I8//jC7PKRzd3ePCw8P14cffqiVK1c6xtzExMSocOHCqlChgsLDw02qFEjMfgdh0aJF6tChg9asWaMaNWpIkj744AOtXLlS27ZtM7NE4JHg7DYB467ByzExMY4BTj/88INjefbs2VWwYEFJcgoIVqtVAQEB8vX1TYFqgfszDEMxMTE6e/asNm7cqPr16zue5uzv768nnnhCO3fulJR0QAYetYTtLC4uTjabzXEc/f3333X79m1lzZpVO3fudDx93M3NTZ6enoqLi9PFixcVGRlpVvmAJIIu0idCQwIWi0VWq1U7duzQrVu35OXlJUl65ZVX1LRpU40ZM8axbVIDR7/55hsVLlxYuXLlSrGaATvDMBKd+FssFnl5eal79+6qXbt2olmSwsLClDdvXkn/mwEESE7u7u66deuW/vnnH7m7uzvu1L700ktq0aKFtmzZIqvVqixZskj634UZi8WiuLg4RUdHKygoyLT6kf4QdIE7CA13+fjjjzVkyBDt2bNHklS/fn0dPXpUU6ZM0bZt2/Tpp59KuvNFdvediVatWmnZsmWSEt+1AB41exuzf6FZLBbHiX+3bt00depUx7b25fYvOvt/Dxw4oMyZM6dYzYAkTZgwQbly5dLVq1clSXXr1tX58+dVr149zZgxQzt27EgUgA3D0O7du1WsWDFVr17dhKqRXhF0gTuYMuUu/fv3V1hYmKZOnarevXvLzc1Nf/75pyTp2rVr2rhxo/z8/NS+fftEMyHY51qWmCUByc9isSgmJkYjR45UkSJF1K5dO0nSCy+8oD179mjr1q1yc3NTt27dHCE3Ybs8d+6c2rdvrx49epj1EZBODR06VGFhYSpevLhKlCihqKgo7d+/X5LUvn17ffjhhwoICFCZMmUc7dZisahKlSqqWLGiJCVqz0BymjBhgoYPH67Lly/L399fdevW1eXLlx1B18fHR1WrVnW6Y0vQxePGYnBJ3CE6OloZMmSQJBUtWlSXL1/W8ePHFRAQIEm6dOmSpk2bpuPHj6tbt26qUqWKmeUCunr1qgYMGCAPDw+9+uqr+vTTTxUWFqZdu3Zp3bp1Gj58uAYOHOgIFPc60eIEDCnFZrM5rtQWLFhQ165d099//y1/f3/HNo0aNdL169e1detWeXh43PPhg0BK6t27t5YsWeIIunv37pV0J+ieP39eEydOdAq6drGxsfL09OQ4izSP0PD/En4pNW/eXCdOnJCHh4eKFi2qBQsWOLY7ceKEBg8erPz582vixIlmlQs4voAiIyM1atQoLViwQNmyZXPMhnTlyhUtXrxYS5cu1aBBg9SwYUOTK0Z6FxcX57gS26RJEx07dkwVKlRQpkyZNHbsWPn5+Tm2LV26tMqWLatFixaZVC1wB0EXuIMW/f/s/3M3bdpUR48e1d69e/Xjjz9qx44dmj59umO7woULq0ePHpo+fbpOnjxpVrmAo893lixZdPjwYUVFRalmzZqS7nzJBQQE6JVXXlGNGjW0ZMkSHT161MxyAUdgqF27ti5evKhdu3ape/fuunTpkg4ePCjpTtuVpMmTJ+vgwYMcZ2GquLg4R2Bo0qSJMmXKpEaNGundd9/VjRs3HNutWbNG169fV9u2bSWJwIDHEq06gd9++01ZsmTR9u3bJUne3t5q376905iG3377TQMHDtRTTz3lmHYVMIP9i8x+hWvbtm3asGGDRo0a5ViXJ08evfrqqzp16hTPY0CqcPz4ccXGxmrjxo3KnDmznnnmGVksFn355ZeSpKioKG3fvl09e/ZUQEAAx1mYiqAL/A+hIYGnn35as2fPlo+Pj+PWYpUqVbRo0SJdvHjR0d2jZMmS2rhxoyRmSYK53nvvPZ07d04bNmxQmTJlNG3aNM2fP1+HDx92bFO2bFkdPXpUu3fvNrFS4I4iRYroxx9/VJYsWRzPwnn33Xf1119/6erVq4qJidG4ceNUtGhRbd68WRLHWZiLoAvcwZgG3flCMgwj0e3EuLg4Xbt2TdWqVdPWrVsVGBioS5cuKTAw0LEfg5pgpq1bt6pSpUry9vZWTEyMbty4oZYtW2rQoEGqV6+e1q1bp8GDB8vX11dbt251DPQHUpMjR46oevXq2rlzpwoWLKjIyEjH9JUcZ5Ea2NthTEyMvLy8tHfvXnXv3l0bNmxQfHy8OnXqJIvFouXLl8vDw4N2i8dSur7TEBUVJenO1JVJPXfB3d1dFotFYWFhOnfunCQRGJCq1KhRQ97e3jIMQ15eXsqZM6eCgoK0fPlySVLu3Ln1zjvvaOfOncqQIQNXbJEq+fr6OoKvJAIDUh17O7Q/9DVTpkw6c+aMwsPDlSNHDi1cuFCrVq0iMOCxlm6f03D8+HGNGTNGQUFByp8/v5o2bSo/Pz9HX3C76Oho+fv7O77E7DggwCz2rnMJZ+ewP0TI3d1dgYGBunjxoiTpiSee0BNPPOG0H5Da2K/e3v2gQY6zSK0IukiP0u0ZhKenp5588knHOIXKlSurTZs2iab3O378uKpWrapixYqZVClw54vo2LFjOnDggG7fvi3pf7NzxMfHO23r4eGh7NmzJ3oPAgNSq4sXL6pUqVJOD8gEUjOCLtIjxjT8v3Xr1mnnzp26dOmSPvvsM2XKlMmxzn4FlysIMMvNmzc1c+ZMxwDRLFmyqG3btnrmmWcUEhLitO2rr76qkJAQjR8/3pxigf+A4yzSgh07duijjz7S6tWrzS4FSDHpLjQk/EIyDEPx8fFOj323Xz24e1vAbFFRUbpy5Ypu376t8ePH68aNG1q7dq327dunUqVKObbbtGmT6tSpY2KlAJB+cK6A9CJdhIajR4/q8uXLqly5siT+B8fjIS4uTt9++62eeOIJ5c2bN1G7pp0DAIBH5bEfCH3z5k1NnDhR165dk9VqVa1atZxOpCIiIhQVFaXg4GATqwScJZxy8m72MODu7q5GjRo5lt8dEAgMAADgUXlsRkbGxcU5/mt/OqMkZc6cWW+88YayZ8+umTNnOqailKRLly5p5syZmjJliiQeIITU4dixY+rZs6d+/vlnx7Kk2ubdA6ABAACSy2MRGuzjEiIiIlSnTh399ddfkv4XJJ599ln16dNHBQoU0IwZMzRhwgRJd5654O7urvXr10viyixS1r1O+iMiImSxWPTJJ59o69atku60zfj4eJ0/f14fffSRIiIimA0JAACkmDR/1mGfez4yMlJ16tRR7dq1VbRoUd24cUPu7u6OE7NSpUqpe/fuatGihSZNmqTXX39dW7duVbly5eTj46OrV6+a/EmQntjbbVRUlL7//ntZrVbHuqeeekp9+/ZVoUKF9N577zlm57BYLIqMjNS3336r06dPm1Q5AABIj9J0aEgYGKpXr66WLVuqc+fOqlGjhk6fPq2YmBinuezz5cunDh066KefflJUVJTGjBmjfv36KU+ePPL39zf50yC9SNhuK1SooDNnzsjb29uxTpIqVKigHj16qGHDhurUqZMmTJggm82mIkWKKD4+Xnv37jXzIwAAgHQmzc6edHdgaNOmjVq3bq06depo1KhRyp07txYtWqRx48Zp9uzZioyMVN++fWWz2eTh4aG4uDjFxMTo6tWrjgcKMdsMklvCdlujRg1Hu500aZJGjBghi8XiaKPSnSeSb9y4Ud26ddOTTz6prFmzau/evRowYIA6depk8qcBAADpRZoMDfaT+8jISNWuXVvNmzdXmzZtVLduXY0ePVpBQUFq2bKl1q5dqyNHjqhjx46aMWOGmjRp4rR/Uu8JJJd7Bd26devqgw8+UMmSJVWgQAFJdx4cVKlSJUe7PH36tA4cOKCjR4/Kw8NDAwYMMPnTAACA9CRNTrlqsVgUGxur559/XtWrV1f//v31xBNPaNSoUQoMDFSbNm20Zs0a7dmzR8OHD1eZMmWUMWNGp/0l56BAYEBysj9VPKnAMGrUKAUFBal+/fravn271qxZowkTJujQoUOS7rTTkJCQRE9+tocQAACA5JZmzzhu376t+vXr6/DhwypQoICmTp2qnDlzqk2bNvrmm290+PBhffDBBzpw4IDy58+v69evO/Y9deoUdxaQouyBoUqVKurdu7datGjh6EoXFBSk1q1ba9WqVfr55581aNAg5cyZU5Jks9kc7fTu2ZYIDAAAIKWk2bMOX19fDRw4UDVq1JCvr69Onz6tLl26OAJDu3btNHPmTPn4+OjcuXPKnz+/Vq5cqb59+6pbt27MloQUN2PGDB08eFDPP/+8Xn75ZY0cOVKBgYFq3bq1VqxYoX379mnYsGEaP3688uXLJ0mOsQ0SIQEAAJgnTY5pSOjq1auaNm2aRo0apSVLlihDhgzq0qWL8ubNq8KFC+vw4cM6ePCgihYtqjx58qh8+fJ6/fXXVa5cObNLRzpjGIb69eunyZMna9GiRXr22WdVv359rVq1SkeOHNHgwYO1fft27d+/X5988onWr1+vq1evauPGjfLy8lLTpk3N/ggAACCdSrOhIWH3ouvXr2vhwoWaOXOmIiIinOawP3bsmLy9veXt7a2goCCTqgXuMAxDffr00aZNm2Sz2bRr1y5t2rRJrVq1Uo8ePVShQgUdPXpUBw8elK+vr6xWq06cOKFFixapbNmyZpcPAADSqTTT38H+dOfY2FhJzgOXs2XLpmvXruny5cvKnTu3zp0751jXu3dvnT17VoGBgZLunLQBZrE/6fnFF1+Up6en1q5dq3HjxmnZsmVq0KCBtmzZosuXL6tAgQIqUqSIRowYoc2bNxMYAACAqdLEnQb7zDO//fab1qxZo0GDBilLliyO9cuXL9eIESM0d+5c7dy5U6tXr9ann36qvXv3asOGDVq8eLGJ1QP/k3DGoypVqmjPnj3avn27KlSo4Fi/a9cuVapUycwyAQAAnKT6Ow32wHDgwAE9++yz8vT0dAoMkhQUFKQtW7boySef1CuvvKKaNWuqXbt22rx5szp06CAp8cwzgBnsgWHixIkKCwtTs2bN1Lt3b4WHh0uSXnvtNc2aNcvMEgEAABJJ1aEhPj5e7u7u+vPPP1WtWjW9//77GjZsWKLtKleurJw5c8owDOXOnVtDhgxRrly5FBsb67iCy8wzSC1Onz6tI0eOaOPGjZo/f77Kli2runXratGiRQoJCdHEiRPNLhEAAMBJqu+eFBoaqmrVqum1117TmDFjXG5rHxy9evVqtW3bVrt371bx4sVTqFKkVwkH5T/o8z+ioqLk4+OjuLg4ubm5aejQoZo7d666d++uAQMGKEOGDMldNgAAwANLlZffL1265JgBydfXV926dVO3bt3uub0999hP1ooVK6bFixcTGJDs7CEh4QD9pLrC2dtoRESEJMnHx0eGYcjd3V0Wi0XBwcHKmjWrOnToQGAAAACpTqoLDdHR0dqwYYMmTZqkK1euyNfXV2+99Zby589/z3127Nih8ePHS7rTpal48eKqX79+SpWMdMxisSguLk5t2rTRe++9J+lOV7i7g4PFYtGtW7c0aNAgHT582LHMMAxdunRJ33zzjT7//HPlypUrxT8DAADA/aS60JAhQwblzJlThw8f1tGjRyVJNpvtntufOXNGvXv31r59+yQxdgEpLzo6WtWqVdOmTZsc4TWp4HDz5k398ssvunz5smOZxWJRYGCgFi9erOrVq6dk2QAAAA/Mw+wCklK/fn3t2bNHzZs318GDB5U9e3ZJd7p4nD59WpkyZVJgYKDOnDmjF198UUWLFtWiRYsc2zxIn3LgUfHx8VHLli3l6empmTNnyt3dXW+++aYjONiDbM6cORUcHCyr1ZroPezPEQEAAEiNTA0Nly5dkpeXl7Jly6bQ0FBlypTJERCGDRumc+fOqUGDBvrpp5/k5eWlv//+W4sXL9Yff/whi8WiU6dOqWjRolq1apUk5znwgZTk5+enJk2ayGazad68eXJ3d1efPn2cgsM///yjI0eO0EYBAECaY1poiImJ0dKlS1W0aFF5e3tr2bJlCg4OVvPmzVWkSBFJ0pQpU9SvXz+9+uqrKlGihKpWraquXbtq6dKlCgsLU82aNdW5c2dJBAaYL3v27Hr11Vdls9m0ZMkSubu7q2fPno52eeXKFZUsWVIlSpQwuVIAAICHY0pouHTpkgIDA5UtWzY1bNhQ3bp1k6+vr44fP66NGzcqZ86cypo1q7y9vTV48GBNnz5dCxcu1Pr167Vlyxb16tXL6f0IDDCbvQ0GBATotddek81m09KlS+Xp6akuXbooNjZWbdq0UYkSJZQ3b16zywUAAHgoKR4aDh06pDfffFOjRo2Su7u7KleurFq1asnT01MxMTHKly+f05STISEh6tmzp2w2myZMmKDvvvtObdu2dXpPAgOSk32cjP2/J0+e1OHDh/X333+rWLFiyps3r3LmzOkYl5AzZ061aNFCbm5umjhxoubOnavIyEgFBgYy9gYAAKRJpjzcbdy4cZozZ44qVqyoxo0ba+7cubpy5YqaNWum2rVrq1SpUo5tE56wde3aVUePHtU333yjgICAlC4b6ZjVatWsWbNUq1Yt5ciRQ+PGjdNvv/2mjBkzau/evSpUqJCGDRumunXrOva5ffu2/v77b23ZskU5cuTQ66+/Lok7YwAAIO1JsdBw6tQp7d69W0WKFNE///yjmTNnql27dpo7d67y5s2rJk2aqF+/fpo6daoKFiyo9evXq3379vLw8JDNZpOHx52bIgcPHlTRokV5ABZS1I4dO/T++++rYsWK6tatm9PzFIYNG6ZOnTopX758930fAgMAAEiLUuzsJSAgQD/99JNatmypWbNmqWPHjpo/f76yZ8+uKVOm6Pz582revLliY2PVuHFjLViwQJ06dVJsbKw8PDwUFxcnSSpbtiyBASmuUqVKGjx4sP766y9NnTrV8YC26Oho7d69W3///bckOdrpvRAYAABAWpRiZzBZsmRRgwYNVLNmTbVp00Zz585VQECA5syZo4ULF+qvv/5S+fLlNXDgQDVv3lwbNmyQxWLRp59+Kklyd3dPqVKBREJDQ1W1alV169ZNx48f19dff60///zTEWBPnjwpiXYKAAAeTykWGk6ePKklS5aofPnyslqtunTpkgYPHqwpU6Zo69at+u6779S3b1+1bt1aAwcOlJeXlzZu3Kjo6OiUKhFI0rlz5/Tmm29qy5Ytqlmzptq2bavjx49r3rx5un79uipXrqzTp0+bXSYAAECySfbQYO+uUbBgQeXOnVvz5s1TnTp1VLBgQbVo0UJxcXFq3769zp8/r4wZM6pGjRq6ffu2Fi5cqGLFimno0KHJXSLgUt68eeXh4aEPP/xQktSgQQMNGDBAv/76q7777jtdvXpV//zzj8lVAgAAJJ9HPhA64VSSsbGx8vT01O+//6758+drwoQJ6t27t15//XWVKlVKP/zwg7JkyaJBgwapa9euioyM1NatW9W/f39VrFhRmTJlksTgUZjH3p5DQ0PVtm1bzZw5U4UKFdKVK1eUM2dOrV69WgcOHJCnp6fefvtts8sFAABIFo/8TNxisejMmTPasGGDPD09dejQITVp0kR58uSRJE2ePFlPPPGEfH199dxzz+nNN99Uv3791KVLFw0YMEBPP/20hg0bpr1790q6c9JGYIBZ7AE4Y8aMOnbsmLZt2yZJ+vbbb/Xxxx+rYcOG2rRpkwoWLGhmmQAAAMnqkT3cLeHdgBMnTqhBgwYaN26c5s6dq379+ql3796KiYnRzp07VaVKFUnSX3/9pcOHD+upp55yvM/w4cOVIUMGhYSESBIPwEKq4O/vr3bt2ik8PFyS1LRpU2XOnFmRkZGyWq0qXbq0yRUCAAAkn0faPen27dsKDw9XUFCQ1qxZo6ZNm6p58+ZauHChbt++rWrVqqlJkyZO3Tg+//xzDRw4UGvXrlXt2rUfVSnAI3fhwgVlypRJfn5+jmUDBgzQH3/8oe+++868wgAAAJLZI+33M3XqVJUvX16hoaFq1KiRVq1apUWLFumrr77Sq6++qjJlyjgCw7Bhw3T06FH17NlTo0eP1uTJkxUTE/MoywEeqVy5csnPz0/2nH3o0CGdP39eAwYMkCSZ8HB1AACAFPHI7jTYuyd16NBBJ06c0JIlS5Q7d26tXLlSzZo109NPP62dO3dKkrp06aLt27dr//798vLykiRFRUXJx8fnUZQCpIjNmzdr8eLFGj16tIKCgswuBwAAINk8ktAQFxcnd3d3/fnnn2rUqJHy5MmjK1euaP369cqXL582bdqkevXq6ccff9SaNWu0c+dObd26VV5eXrLZbPLweGRDK4AUExERIZvNpuzZs5tdCgAAQLJ6ZHcaDh8+rEaNGmnAgAHq2bOn+vfvr927d2vDhg3y9fXVxIkTNWjQIAUGBur8+fOS/jclKwAAAIDU6z+HBsMwZLPZ1LZtWz3//PPq1auX4uPjVa1aNV27dk2ZMmVSnTp11KJFC/3zzz968cUXtWHDBtWtW9fpmQ4AAAAAUqf/PBDaYrHI09NTM2bMUK9evRQXF6eKFSuqSJEi+uOPP1S/fn199dVXOnz4sOrWratVq1bphRde0OrVqwkMAAAAQBrwyGZPypw5s6Q7Myg9//zzmj17tiTp77//1q1btxzrGzZsqPXr16to0aKP6lcDAAAASEaP9DkNkhQZGaksWbJIujOt6pYtW1SuXDkFBARo5MiRTg+BAwAAAJD6PfKzd3tgWL9+vfbv368vvvhCzz//vGPwM4EBAAAASFuS5Qw+Pj5e/v7+qlKlisqUKaOTJ086wgIPwAIAAADSlmR5QIKbm5ueffZZlSlTRpJks9nUunVrSWLwMwAAAJDGPPIxDQkxpSoAAACQ9iXrAAMCAwAAAJD2MSoZAAAAgEuEBgAAAAAuERoAAAAAuERoAACkClar1ewSAAD3QGgAAJguKipKffv21SeffGJ2KQCAJBAaAAAKDQ01bcY7m82mqlWrqnHjxlqyZIn27dvntH7btm06deqU07K3337b8fwfAEDyIzQAAB7YzZs3ZbFY7vlq3779Q7+nh4eHlixZor59+2rNmjWqUKGC0/r33ntP33777SP6BACAfyNZnggNAHg8Zc6cWQ/7TNDQ0FDlzZvX5Tbt2rXTrl27lD179v9SHgAgmRAaACAdioqKUmBgoONnexC4u4vS3Llz1a5du//0u3Lnzq3r16/fc/348eMVGhpKYACAVIzuSQCQDvn4+Cg0NNTxmj9/vsqVKyfDMByvatWqyd3d3bFPSEiIy65JCV8LFy507GexWOTn53fPV4YMGf7VZzBrDAYApEfcaQCAdMrPz8/x52PHjqlcuXJO661Wqzw9PR0/nz59OtF7DBgwQJGRkZoxY0ZylZmkiIiIfx02AAAPjzsNAACtWbNGVapUcVoWGRkpHx8fl/udPXtWBQsWTM7SknTx4kWn7lUAgOTFnQYASOe2bt2q48ePq1WrVk7Lr1+/7nQ34m6xsbH65Zdf1Ldv32St78cff3T6OS4uTr/++itTrgJACiI0AEA6dv78ebVr107vvfeeMmbM6FgeExOjS5cuKU+ePPfc9+OPP1bOnDlVuXJll78jNjZW4eHh91x/69ath6p53bp1unnzpurVq/dQ+wEA/j1CAwCkU/v27VOrVq1UtWpV9evXT7GxsZo5c6ZefvllHThwQD4+PsqfP3+i/W7fvq33339fX3zxhX744Yf7/p6ffvpJderUcbnNg87QdPLkSfXs2VNDhgxR5syZH2gfAMB/x5gGAEiHzp49q2rVqqlJkyaaO3eupDsPWVu4cKFy586tBg0aqFu3bolmKIqMjFTJkiW1detWbd++XU8++eR9f1ft2rWdZmW6+zV58mQFBAS4fI+4uDjNmjVLTz31lOrUqaNBgwb9688OAHh4FuNhn9IDAHgsXL58WTly5Ei0PCIiQhEREffsmnTu3Ln7PqztUYuNjVXr1q1Vu3Ztde7cOUV/NwCA0AAAAADgPuieBAAAAMAlQgMAAAAAlwgNAAAAAFwiNAAAAABwidAAAAAAwCVCAwAAAACXCA0AAAAAXCI0AAAAAHCJ0AAAAADAJUIDAAAAAJcIDQAAAABc+j/ze64p54gURQAAAABJRU5ErkJggg==
" alt="figure" style="max-width:100%;height:auto;" /></p>
<h3><span id="toc10">5.2 グラフの枠線の追加</span></h3>
<p>棒グラフに枠線を追加することで、個々の棒をより明確に区別し、視覚的な強調を加えることができます。<code>edgecolor</code> と <code>linewidth</code> 引数を使用して枠線の色と太さを設定します。</p>
<div class="codecell"><pre><code class="language-python">
# 既存のDataFrameを活用
#date={"カテゴリ":["A", "B", "C", "D"], "値": [5, 7, 3, 4]}
#df=pd.DataFrame(date)


fig, ax = plt.subplots()
ax.bar(df["カテゴリ"], df["値"], color="skyblue", edgecolor="black", linewidth=1.5) # 枠線と太さを指定
ax.set_title("棒グラフの枠線カスタマイズ")
ax.set_xlabel("カテゴリ")
ax.set_ylabel("値")
plt.show()</code></pre></div>
<p><img decoding="async" 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
" alt="figure" style="max-width:100%;height:auto;" /></p>
<h3><span id="toc11">5.3 個別の棒の色を変える</span></h3>
<p>棒グラフの個々の棒に異なる色を指定することで、特定のカテゴリを強調したり、視覚的なバリエーションを加えたりすることができます。<code>color</code> 引数に色のリストを指定します。</p>
<div class="codecell"><pre><code class="language-python">
# 既存のDataFrameを活用
# date={"カテゴリ":["A", "B", "C", "D"], "値": [5, 7, 3, 4]}
# df=pd.DataFrame(date)

# 個別の棒の色を指定
colors = ["red", "blue", "green", "purple"]

fig, ax = plt.subplots()
ax.bar(df['カテゴリ'], df['値'], color=colors) # 色のリストをcolor引数に指定
ax.set_title("個別の棒の色を変える")
ax.set_xlabel("カテゴリ")
ax.set_ylabel("値")
plt.show()</code></pre></div>
<p><img decoding="async" 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
" alt="figure" style="max-width:100%;height:auto;" /></p>
<h3><span id="toc12">5.4 グラフにテキストラベルを追加</span></h3>
<p>棒グラフの各棒の上に数値を直接表示することで、グラフを見る人が正確な値を素早く把握できるようになります。<code>ax.text()</code> 関数を使用してテキストラベルを追加します。</p>
<div class="codecell"><pre><code class="language-python">
# 既存のDataFrameを活用
# date={"カテゴリ":["A", "B", "C", "D"], "値": [5, 7, 3, 4]}
# df=pd.DataFrame(date)


fig, ax = plt.subplots()
bars = ax.bar(df["カテゴリ"], df["値"], color="skyblue")
ax.set_title("棒グラフにテキストラベルを追加")
ax.set_xlabel("カテゴリ")
ax.set_ylabel("値")

# 棒の上に値を表示
for bar in bars:
    yval = bar.get_height()
    ax.text(bar.get_x() + bar.get_width()/2.0, yval, int(yval), va="bottom", ha="center") # テキストの位置と表示内容を設定

plt.show()</code></pre></div>
<p><img decoding="async" 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
" alt="figure" style="max-width:100%;height:auto;" /></p>
<p>ここでは、描画された棒グラフの各棒の上に、その棒の高さ（つまり対応する値）をテキストとして表示するためのコードを紹介しています。</p>

<ul>
<li>for bar in bars:</li>
<p> * bars 変数には、ax.bar() 関数が返した、描画された個々の棒の情報が含まれています。</p>
<p> * この for ループは、bars に含まれる各棒 (bar) に対して順番に処理を行います。つまり、グラフに描かれた棒の数だけ、ループの中のコードが実行されます。</p>
<li>yval = bar.get_height():</li>
<p> * ループの各回で、現在処理している棒 (bar) の高さを取得し、yval という変数に格納します。この高さは、グラフでその棒が示している値に対応します。この yval は、テキストラベルを棒の上に配置する際の Y 座標として利用されます。</p>
<li>ax.text(bar.get_x() + bar.get_width()/2.0, yval, int(yval), va=“bottom”, ha=“center”):</li>
<p> * これが実際にテキストラベルを追加する部分です。ax.text() 関数は、指定した Axes (ax) 上にテキストを表示します。</p>
<p>  * bar.get_x() + bar.get_width()/2.0: テキストの X 座標を指定しています。bar.get_x() で棒の左端の X 座標を取得し、それに bar.get_width()/2.0 （棒の幅の半分）を足すことで、テキストを棒の真ん中に配置するための X 座標を計算しています。</p>
<p>  * yval: テキストの Y 座標を指定しています。棒の高さ (yval) を指定することで、テキストが棒の「上端」の位置に表示されるようにしています。</p>
<p>  * int(yval): 表示するテキストの内容を指定しています。ここでは、棒の高さ (yval) を整数に変換したものをテキストとして表示しています。例えば、棒の高さが 5.0 なら、テキストは “5” となります。</p>
<p>  * va=“bottom”: テキストの垂直方向の整列方法を指定しています。”bottom” を指定することで、テキストの「下端」が Y 座標 (yval) に揃うように配置されます。これにより、テキストが棒の上に少し離れて表示されます。</p>
<p>  * ha=“center”: テキストの水平方向の整列方法を指定しています。”center” を指定することで、テキストの「中心」が X 座標 (bar.get_x() + bar.get_width()/2.0) に揃うように配置されます。これにより、テキストが棒の中心に表示されます。</p>
</ul>

<p>このループ全体を通して、各棒についてその高さを取得し、その棒の中心の真上にその高さの値をテキストとして描画しています。</p>
<h2><span id="toc13">6. データ可視化における棒グラフの活用例と注意点</span></h2>

<p>棒グラフは、様々なデータの比較や傾向の把握に役立ちます。ここでは、棒グラフの一般的な活用例と、使用する上での注意点について解説します。</p>

<h3><span id="toc14">活用例</span></h3>

<ul>
<li><strong>カテゴリ間の数量比較</strong>: 製品別の売上高、地域別の人口、アンケートの回答数など、異なるカテゴリの数量を比較するのに適しています。</li>
<li><strong>時系列データの比較</strong>: 月ごとの売上推移や年間の生産量など、特定の期間におけるデータの変化を示すのに使用できます。</li>
<li><strong>ランキングの表示</strong>: 成績上位者や人気商品のランキングなどを視覚的に表現するのに役立ちます。</li>
<li><strong>データの分布の把握</strong>: ヒストグラムのように、データの度数を表示することで分布の形状を把握するのに使用されることもあります。</li>
</ul>

<h3><span id="toc15">注意点</span></h3>

<ul>
<li><strong>データのスケール</strong>: 棒グラフは通常0から始まるスケールで表示すべきです。途中の値から始めると、比較が歪められる可能性があります。</li>
<li><strong>カテゴリの順序</strong>: カテゴリが多い場合、何らかの基準（例えば値の大小順）で並べ替えることで、グラフがより分かりやすくなります。</li>
<li><strong>棒の数</strong>: 棒の数が多すぎると、グラフが<strong>ごちゃごちゃして</strong>、読み取りにくくなることがあります。その場合は、重要なカテゴリに絞るか、別のグラフタイプ（例：折れ線グラフ）を検討します。</li>
<li><strong>ラベルと凡例</strong>: 各棒が何を表しているのか、凡例は何を示しているのかを明確にすることが重要です。</li>
<li><strong>3D棒グラフの使用</strong>: 3D棒グラフは見た目が派手になることがありますが、データの正確な読み取りを妨げることが多いため、避けるのが一般的です。</li>
</ul>

<p>これらの活用例と注意点を踏まえることで、より効果的な棒グラフを作成し、データの洞察を深めることができます。</p>
<h2><span id="toc16">. 次の記事</span></h2>
<p>次回は「散布図：色分け・サイズ・カラーバー」を解説します。</p>

<h2><span id="toc17">まとめ</span></h2>
<p>本記事では、Matplotlib を用いた棒グラフの作成方法を網羅的に解説しました。</p>
<ul>
<li><code>bar()</code>で縦棒、<code>barh()</code>で横棒グラフを作成</li>
<li>複数系列は <code>width</code> とX座標を調整してグループ化</li>
<li>積み上げ棒グラフは <code>bottom</code> 引数で基準値を指定</li>
<li>ラベル、凡例、タイトルの設定でグラフの可読性を向上</li>
<li>カテゴリラベルの回転などで表示を調整</li>
<li>棒グラフの幅や色、枠線などのカスタマイズ方法</li>
<li>棒グラフはカテゴリ間の比較や構成比の把握に有効なデータ可視化手法</li>
</ul>

<p>これらの知識を活用して、効果的なデータ可視化を行いましょう。</p>
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Matplotlib 折れ線グラフの作成方法を詳しく解説。色の変更、線種、マーカー、凡例の設定方法まで、見やすいグラフを作るコツを紹介します。
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<p>折れ線グラフは、値の推移や変化を直感的に表現できる可視化手法です。本記事では、Pythonの可視化ライブラリMatplotlibを使って、色・線種・マーカーを自由に設定し、複数系列を描画する方法を解説します。</p>
<h2><span id="toc1">この記事でわかること</span></h2>
<ul><li>基本的な折れ線グラフの描き方</li><li>色・線種・マーカーの設定方法</li><li>複数系列の描画と凡例の設定</li><li>見やすいグラフにするための調整テクニック</li></ul>
<h2><span id="toc2">1. 基本の折れ線グラフ</span></h2>

<p>このセクションでは、Matplotlib を使用して基本的な折れ線グラフを作成する方法を学びます。</p>
<pre><code class="language-python">import pandas as pd
import matplotlib.pyplot as plt

!pip install japanize-matplotlib &gt; /dev/null # Google Colab の機能を使って日本語フォントをインストール・インポート
import japanize_matplotlib


# データをDataFrameにする
data = {"x": [1, 2, 3, 4, 5], "y": [2, 4, 3, 5, 7]}
df = pd.DataFrame(data)

fig, ax = plt.subplots()
ax.plot(df["x"], df["y"])
ax.set_title("基本の折れ線グラフ")
ax.set_xlabel("x軸")
ax.set_ylabel("y軸")
plt.show()</code></pre>
<p><img decoding="async" 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
" alt="figure"/></p>
<pre class="output-text">&lt;Figure size 640x480 with 1 Axes&gt;</pre>
<p>最小限のコードで折れ線グラフを描画できます。ここでは、<code>plt.subplots()</code> と <code>ax.plot()</code> を使用しています。</p>

<ul><li><code>plt.subplots()</code> は、グラフ全体のキャンバスとなる Figure オブジェクトと、実際にグラフを描画する領域である Axes オブジェクトを生成します。Figure は複数の Axes を含むことができますが、ここでは1つのAxesを作成しています。</li><li><code>ax.plot()</code> メソッドが、指定したAxesオブジェクト上に折れ線グラフを実際に描画します。このメソッドには、x軸のデータとy軸のデータをリストやPandas Seriesとして渡すことができます。</li><li>例として、<code>ax.plot(df[&quot;x&quot;], df[&quot;y&quot;])</code> のように、DataFrameの特定の列を直接引数として指定することで、簡単にデータをプロットできます。</li></ul>

<h2><span id="toc3">2. 色・線種・マーカーの設定</span></h2>

<p>このセクションでは、折れ線グラフの色、線種、マーカーをカスタマイズする方法を学びます。<code>ax.plot()</code> メソッドの引数を使用することで、これらの設定を柔軟に行うことができます。</p>
<pre><code class="language-python">fig, ax = plt.subplots()

ax.plot(df["x"],df["y"], color="red", linestyle="--", marker="o", linewidth=2, markersize=8)
ax.set_title("色・線種・マーカーを指定")
ax.set_xlabel("x軸")
ax.set_ylabel("y軸")
plt.show()</code></pre>
<p><img decoding="async" 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
" alt="figure"/></p>
<pre class="output-text">&lt;Figure size 640x480 with 1 Axes&gt;</pre>
<ul><li><strong><code>color</code></strong>: 線の色を指定します。様々な形式で指定可能です。</li><li><strong>色名</strong>: <code>&quot;red&quot;</code>, <code>&quot;blue&quot;</code>, <code>&quot;green&quot;</code>, <code>&quot;black&quot;</code> など、多くの標準的な色名が使用できます。</li><li><strong>16進カラーコード</strong>: <code>&quot; #FF0000&quot;</code> (赤), <code>&quot; #0000FF&quot;</code> (青) のように、RGB値を16進数で指定します。</li><li><strong>RGB tuple</strong>: <code>(1, 0, 0)</code> (赤), <code>(0, 0, 1)</code> (青) のように、0から1の範囲でRGB値をタプルで指定します。</li><li><strong>略記</strong>: 一部の色は1文字で指定できます。例: <code>&quot;r&quot;</code> (赤), <code>&quot;g&quot;</code> (緑), <code>&quot;b&quot;</code> (青), <code>&quot;k&quot;</code> (黒), <code>&quot;w&quot;</code> (白), <code>&quot;c&quot;</code> (シアン), <code>&quot;m&quot;</code> (マゼンタ), <code>&quot;y&quot;</code> (黄)。</li></ul>

<ul><li><strong><code>linestyle</code></strong>: 線のスタイルを指定します。</li><li><code>-</code>: 実線 (solid) &#8211; デフォルト</li><li><code>--</code>: 破線 (dashed)</li><li><code>-.</code>: 一点鎖線 (dashdot)</li><li><code>:</code>: 点線 (dotted)</li><li><code>None</code> または <code>&quot;&quot;</code>: 線を表示しない（マーカーのみ表示したい場合などに使用）</li></ul>

<ul><li><strong><code>marker</code></strong>: データ点に表示するマーカーのスタイルを指定します。様々な記号が利用可能です。</li><li><code>&#x27;o&#x27;</code>: 丸 (circle)</li><li><code>&#x27;s&#x27;</code>: 四角 (square)</li><li><code>&#x27;^&#x27;</code>: 上向き三角 (triangle_up)</li><li><code>&#x27;v&#x27;</code>: 下向き三角 (triangle_down)</li><li><code>&#x27;x&#x27;</code>: バツ (x)</li><li><code>&#x27;*&#x27;</code>: アスタリスク (star)</li><li><code>&#x27;+&#x27;</code>: プラス (plus)</li><li><code>&#x27;.&#x27;</code>: 点 (point)</li><li><code>&#x27;,&#x27;</code>: ピクセル (pixel)</li><li>他にも多くのマーカーがあります。

<p>▶️ Matplotlib.markersの公式ドキュメントも参考にしてください： <br /><a rel="noopener" href="https://matplotlib.org/stable/api/markers_api.html" target="_blank">Matplotlib.markers Documentation</a></p>

<ul><li><strong><code>linewidth</code></strong>: 線の太さを指定します。浮動小数点数で指定し、値が大きいほど線が太くなります。デフォルトは1.5です。例: <code>linewidth=2</code></li></ul>

<ul><li><strong><code>markersize</code></strong>: マーカーのサイズを指定します。浮動小数点数で指定し、値が大きいほどマーカーが大きくなります。例: <code>markersize=8</code></li></ul>

<p>これらのパラメータを組み合わせることで、グラフの各系列を視覚的に区別しやすく、より分かりやすいグラフを作成できます。</p>
<h2><span id="toc4">3. 複数系列と凡例の設定</span></h2>
<p>複数の折れ線グラフを描画した場合、どの線がどのデータ系列に対応するかを明確にするために「凡例（Legend）」を表示することが重要です。凡例は、<code>ax.legend()</code> メソッドを呼び出すことで表示できます。<code>ax.plot()</code> メソッドに <code>label</code> 引数で指定した文字列が、凡例に表示されます。</p>

<pre><code class="language-python"># 2つめのDataFrameを作成
data2 = {"x2": [1, 2, 3, 4, 5], "y2": [1, 3, 4, 6, 8]}
df2 = pd.DataFrame(data2)
# １つめの折れ線グラフに凡例を表示するためのlabelを追加
fig, ax = plt.subplots()
ax.plot(df["x"], df["y"], label="データ1", color="red", linestyle="--", marker="o", linewidth=2, markersize=8)
# 2つめの折れ線グラフの追加
ax.plot(df2["x2"], df2["y2"], label="データ2", color="green", linestyle="--", marker="s",linewidth=2, markersize=8)
ax.set_title("複数系列の折れ線グラフ")
ax.set_xlabel("x軸")
ax.set_ylabel("y軸")
# 凡例の表示し、位置を調整
ax.legend(loc="upper left")
plt.show()</code></pre>
<p><img decoding="async" 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
" alt="figure"/></p>
<pre class="output-text">&lt;Figure size 640x480 with 1 Axes&gt;</pre>

<p><code>ax.legend()</code> には、凡例の見た目や配置を調整するための様々なパラメータがあります。</p>

<ul><li><strong><code>loc</code></strong>: 凡例を表示する位置を指定します。最もよく使われるパラメータの一つです。</li><li><strong>キーワード</strong>: 事前に定義された位置を指定できます。</li><li><code>&quot;best&quot;</code>: 凡例が他のグラフ要素と重ならない最適な位置に自動配置されます。（推奨）</li><li><code>&quot;upper right&quot;</code>: 右上</li><li><code>&quot;upper left&quot;</code>: 左上</li><li><code>&quot;lower right&quot;</code>: 右下</li><li><code>&quot;lower left&quot;</code>: 左下</li><li><code>&quot;right&quot;</code>: 右</li><li><code>&quot;center left&quot;</code>: 中央左</li><li><code>&quot;center right&quot;</code>: 中央右</li><li><code>&quot;lower center&quot;</code>: 下中央</li><li><code>&quot;upper center&quot;</code>: 上中央</li><li><code>&quot;center&quot;</code>: 中央</li><li><strong>座標タプル</strong>: <code>(x, y)</code> の形式で、Axesの左下を基準(0,0)、右上を(1,1)とする相対座標で凡例の左下隅の位置を指定することも可能です。例: <code>loc=(1.05, 1)</code> とすると、Axesの外側右上に凡例が表示されます。</li></ul>

<ul><li><strong><code>fontsize</code></strong>: 凡例のテキストのフォントサイズを指定します。</li><li>数値で指定する他、文字列で指定することも可能です。例: <code>fontsize=12</code>, <code>fontsize=&#x27;small&#x27;</code></li><li>利用可能な文字列: <code>&#x27;xx-small&#x27;</code>, <code>&#x27;x-small&#x27;</code>, <code>&#x27;small&#x27;</code>, <code>&#x27;medium&#x27;</code>, <code>&#x27;large&#x27;</code>, <code>&#x27;x-large&#x27;</code>, <code>&#x27;xx-large&#x27;</code></li></ul>

<ul><li><strong><code>frameon</code></strong>: 凡例の周りにフレーム（枠線と背景）を表示するかどうかを指定します。</li><li><code>True</code>: フレームを表示する（デフォルト）</li><li><code>False</code>: フレームを表示しない</li></ul>

<ul><li><strong><code>ncol</code></strong>: 凡例の列数を指定します。凡例の項目が多い場合に、複数列に分けて表示することでコンパクトにできます。</li><li>デフォルトは1列です。例: <code>ncol=2</code> とすると、凡例項目が2列で表示されます。</li></ul>

<ul><li><strong><code>title</code></strong>: 凡例の上にタイトルを表示する場合に指定します。文字列で指定します。例: <code>title=&quot;データ系列&quot;</code></li></ul>

<p>これらのパラメータを適切に設定することで、グラフ全体のレイアウトを崩さずに、凡例を分かりやすく表示することができます。特に <code>loc=&quot;best&quot;</code> は便利ですが、意図した位置に表示されない場合は他のキーワードや座標指定を試してみてください。</p>
<h2><span id="toc5">4. 見やすくするための工夫</span></h2>
<p>このセクションでは、折れ線グラフをより見やすく、読解しやすくするための追加のカスタマイズ方法を学びます。適切に要素を追加することで、グラフが伝える情報を強化できます。</p>

<pre><code class="language-python">fig, ax = plt.subplots()
ax.plot(df["x"], df["y"], label="データ1", color="red", linestyle="--", marker="o", linewidth=2, markersize=8)
ax.plot(df2["x2"], df2["y2"], label="データ2", color="green", linestyle="--", marker="s",linewidth=2, markersize=8)
ax.set_title("見やすくした例")
# 軸ラベルの変更
ax.set_xlabel("日付")
ax.set_ylabel("値")
ax.legend()
# 背景グリッドを表示
ax.grid(True, linestyle=":", alpha=0.7)
# グラフに注釈を追加
ax.annotate("注釈", xy=(4,5), xytext=(4.5,5.5),
            arrowprops=dict(facecolor="black", arrowstyle="-&gt;"))
plt.show()
</code></pre>
<p><img decoding="async" 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
" alt="figure"/></p>
<pre class="output-text">&lt;Figure size 640x480 with 1 Axes&gt;</pre>

<h3><span id="toc6">軸ラベルの変更</span></h3>

<p>軸ラベルは、それぞれの軸が何を表しているのか、どのような単位なのかを明確に伝えるために非常に重要です。<code>ax.set_xlabel()</code> と <code>ax.set_ylabel()</code> メソッドを使用することで、x軸とy軸のラベルテキストを設定できます。これにより、グラフを見る人がデータの意味を正確に理解できるようになります。例では、「日付」と「値」という具体的なラベルに変更しました。</p>

<h3><span id="toc7">背景グリッドの表示</span></h3>

<p>背景グリッドは、グラフ上の特定の点の値を読み取りやすくするために役立ちます。<code>ax.grid()</code> メソッドを呼び出すことで、グラフの背景にグリッド線を表示できます。</p>

<ul><li><strong><code>True</code> または <code>False</code></strong>: グリッドを表示するかどうかを指定します。<code>ax.grid(True)</code> で表示、<code>ax.grid(False)</code> で非表示になります。</li><li><strong><code>axis</code></strong>: グリッドを表示する軸を指定します。</li><li><code>&#x27;both&#x27;</code> (デフォルト): x軸とy軸の両方にグリッドを表示します。</li><li><code>&#x27;x&#x27;</code>: x軸にのみグリッドを表示します。</li><li><code>&#x27;y&#x27;</code>: y軸にのみグリッドを表示します。</li><li><strong><code>linestyle</code></strong>: グリッド線のスタイルを指定します。<code>ax.plot()</code> の <code>linestyle</code> と同様に、<code>-</code>, <code>--</code>, <code>-.</code>, <code>:</code> などが使用できます。</li><li><strong><code>color</code></strong>: グリッド線の色を指定します。</li><li><strong><code>alpha</code></strong>: グリッド線の透明度を指定します。0（完全に透明）から1（完全に不透明）の間の浮動小数点数で指定します。値を小さくすると、グリッド線が背景に馴染みやすくなります。例: <code>alpha=0.7</code></li></ul>

<p>例では、<code>ax.grid(True, linestyle=&quot;:&quot;, alpha=0.7)</code> としており、両方の軸に点線のグリッドを少し薄く表示しています。</p>

<h3><span id="toc8">グラフへの注釈の追加</span></h3>

<p>特定のデータ点やグラフ上の領域に注目させたい場合、注釈 (<code>Annotation</code>) を追加することが非常に効果的です。<code>ax.annotate()</code> メソッドを使用すると、テキストとオプションで矢印をグラフ上に表示できます。</p>

<p><code>ax.annotate(text, xy, xytext=None, arrowprops=None, **kwargs)</code></p>

<ul><li><strong><code>text</code></strong>: 表示したい注釈テキスト（文字列）です。</li><li><strong><code>xy</code></strong>: 注釈を付けたいグラフ上の点の座標 <code>(x, y)</code> です。これは通常、データ点と一致させたり、特定のイベントが発生した位置などを指定します。</li><li><strong><code>xytext</code></strong>: 注釈テキストを表示する位置の座標 <code>(x, y)</code> です。<code>xy</code> と同じ位置にすることも、少しずらして表示することもできます。指定しない場合は <code>xy</code> の位置に表示されます。</li><li><strong><code>arrowprops</code></strong>: 注釈テキストの位置 (<code>xytext</code>) から注釈を付けたい点 (<code>xy</code>) へ引かれる矢印のスタイルを指定するための辞書です。非常に多くのオプションがありますが、よく使われるものをいくつか紹介します。</li><li><code>facecolor</code>: 矢印の色を指定します。例: <code>&quot;black&quot;</code></li><li><code>edgecolor</code>: 矢印の枠線の色を指定します。</li><li><code>arrowstyle</code>: 矢印の形状を指定します。例: <code>&quot;-&gt;&quot;</code> (シンプルな矢印), <code>&quot;-|&gt;&quot;</code>, <code>&quot;-[&quot;</code>, <code>&quot;fancy&quot;</code>, <code>&quot;simple&quot;</code> など。詳細なスタイルは Matplotlib のドキュメントを参照してください。</li><li><code>connectionstyle</code>: 矢印の接続スタイルを指定します。直線、カーブなど。</li><li><code>shrinkA</code>, <code>shrinkB</code>: 注釈テキスト (<code>A</code>) と注釈点 (<code>B</code>) から矢印をどれだけ短くするかを指定します。</li><li><code>patchA</code>, <code>patchB</code>: 注釈テキストや注釈点の形状に合わせて矢印の開始点・終了点を調整します。</li></ul>

<p><strong>注釈の応用例:</strong></p>

<ul><li><strong>特定のデータ点の強調</strong>: 例のように、グラフ上のピークや谷など、特定の意味を持つデータ点に注釈を付けて、その値や日付を示す。</li><li><strong>グラフ内のイベント説明</strong>: データに影響を与えたイベント（例: キャンペーン開始、システム更新など）が発生した時点に注釈を追加し、何が起こったかを説明する。</li><li><strong>領域の説明</strong>: 特定の期間や範囲を矢印とテキストで囲んで説明する。</li></ul>

<p>これらの「見やすくするための工夫」は、単にグラフを装飾するだけでなく、伝えたい情報を強調し、グラフの読解性を飛躍的に向上させます。読者がグラフから素早く正確な情報を得られるように、状況に応じて適切な要素を活用しましょう。</p>
<h2><span id="toc9">5. 次の記事</span></h2>
<p>次回は「棒・横棒グラフ：グループ化・積み上げ」を解説します。</p>


<p>&#8212;</p>
<h2><span id="toc10">まとめ</span></h2>
<p>の記事では、Matplotlib を使用して魅力的で分かりやすい折れ線グラフを作成するための様々な方法を学びました。主要なポイントを振り返りましょう。</p>

<ul><li><strong>基本の折れ線グラフ</strong>: <code>plt.subplots()</code> で Figure と Axes を作成し、<code>ax.plot()</code> に x, y データを渡すだけで基本的な折れ線グラフが描けることを学びました。Figure がキャンバス、Axes が描画領域であるという Matplotlib の基本構造を理解しました。</li></ul>

<ul><li><strong>色・線種・マーカーの設定</strong>: <code>ax.plot()</code> の <code>color</code>, <code>linestyle</code>, <code>marker</code>, <code>linewidth</code>, <code>markersize</code> といったパラメータを使うことで、折れ線の見た目を自由にカスタマイズできることを学びました。色名、16進数、RGBなど様々な色指定方法や、実線、破線、点線、様々なマーカーの種類について詳しく解説しました。</li></ul>

<ul><li><strong>複数系列と凡例の設定</strong>: 複数のデータ系列を同じグラフに表示し、それぞれの系列を区別するために凡例が不可欠であることを学びました。<code>ax.plot()</code> に <code>label</code> を指定し、<code>ax.legend()</code> を呼び出すことで凡例を表示できること、また <code>ax.legend()</code> の <code>loc</code>, <code>fontsize</code>, <code>frameon</code>, <code>ncol</code> などのパラメータで凡例の表示位置やスタイルを調整できることを理解しました。</li></ul>

<ul><li><strong>見やすくするための工夫</strong>: グラフの読解性を高めるための追加要素として、軸ラベル (<code>ax.set_xlabel()</code>, <code>ax.set_ylabel()</code>) の重要性、背景グリッド (<code>ax.grid()</code>) の表示方法とオプション、そしてグラフ上の特定の点に注目させるための注釈 (<code>ax.annotate()</code>) の使い方と応用例を学びました。</li></ul>

<p>これらの知識を習得することで、単にデータをプロットするだけでなく、目的に合わせてグラフをデザインし、伝えたい情報を効果的に視覚化するスキルが身につきます。ぜひ、様々なデータをこれらの方法で可視化してみてください。</p>
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										<content:encoded><![CDATA[
Matplotlibの図構造（FigureとAxes）の関係を図解でわかりやすく解説。Colabでの日本語フォント設定まで手順付きで紹介します。
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<p>本記事は、Pythonの可視化ライブラリMatplotlibの最初の一歩として、Figure（図全体）とAxes（グラフ領域）の関係をやさしく解説します。Google Colabで起こりがちな日本語の文字化け対策も、最短手順で紹介します。</p></div>
<div class="wp-colab-cell"><h2><span id="toc1">この記事でできること</span></h2>
<ul>
<li>FigureとAxesの役割・関係がわかる</li>
<li>最小コードで折れ線グラフを描ける</li>
<li>Google Colabで日本語フォントを正しく表示できる</li>
<li>レイアウト（余白・サイズ）を基本だけ押さえる</li>
</ul></div>
<div class="wp-colab-cell"><h2><span id="toc2">1. Figure と Axes の基本</span></h2>
<p>Matplotlib は「器」（Figure）と「中身」（Axes）を分けて考えると理解しやすいです。</p>
<p><strong>Figure</strong>：画像全体を表す大きな「キャンバス」のようなものです。グラフのサイズ、解像度、複数の Axes を配置する場合の全体レイアウトなどを管理します。</p>
<p><strong>Axes</strong>：Figure の中の「グラフ領域」そのものです。実際にデータ（線、点、棒グラフなど）を描画し、さらに軸、目盛り、ラベル、凡例、タイトルなどのグラフの構成要素を管理します。<strong>ほとんどすべての描画操作は Axes オブジェクトに対して行います。</strong></p>
<p>＜figureとaxesの概念図＞</p>

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<figure>
  <img src="https://pythondatalab.com/wp-content/uploads/2025/08/Relationship-between-Figure-and-Axes-in-Matplotlib.png" 
       alt="MatplotlibにおけるFigureとAxesの関係図。FigureとAxesの関係が視覚化されている。" 
       width="800" height="500" loading="lazy" decoding="async" />
  <figcaption>図：FigureとAxesの関係図</figcaption>
</figure>


<p>典型的な作り方は <code>fig, ax = plt.subplots()</code> です。このコードは、 Figure と、その Figure の中に配置された1つの Axes を同時に作成してくれます。グラフを描く際は、<code>ax.plot()</code> や <code>ax.scatter()</code> といった Axes オブジェクトのメソッドを呼び出します。</p>
<p>このコードを実行すると、以下のグラフが表示されます。</p></div>
<div class="wp-colab-cell"><pre><code class="language-python">import matplotlib.pyplot as plt
import pandas as pd

# データをDataFrameで作成
data = {&#x27;X&#x27;: [1, 2, 3, 4], &#x27;Y&#x27;: [1, 4, 2, 5]}
df = pd.DataFrame(data)

# Figure（全体）と Axes（グラフ領域）を1つずつ作成
fig, ax = plt.subplots()

ax.plot(df[&#x27;X&#x27;], df[&#x27;Y&#x27;])  # データを描画
ax.set_title(&quot;graph&quot;)  # タイトル
ax.set_xlabel(&quot;X&quot;)
ax.set_ylabel(&quot;Y&quot;)

plt.show()             # 画面に表示</code></pre></div>
<div class="wp-colab-cell"><img decoding="async" alt="figure" 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
"/></div>
<div class="wp-colab-cell"><h2><span id="toc3">2. 最小コード：まずは 1 枚描いてみる</span></h2>
<p>最小限のコードで1枚のグラフを描く基本的な流れは次のとおりです。</p>
<p>1.  <code>import matplotlib.pyplot as plt</code> で Matplotlib の機能をインポートします。通常、<code>plt</code> という短縮名で使われます。</p>
<p>2.  <code>fig, ax = plt.subplots()</code> で、グラフを描くための Figure（器）と Axes（グラフ領域）を作成します。</p>
<p>3.  <code>ax.plot(x, y)</code> のように、Axes オブジェクトのメソッドを使って、実際にデータ（この場合は折れ線グラフ）を描画します。</p>
<p>4.  <code>ax.set_title(...)</code>、<code>ax.set_xlabel(...)</code>、<code>ax.set_ylabel(...)</code> などを使って、タイトルや軸のラベルを設定し、グラフに意味を持たせます。</p>
<p>5.  必要に応じて、<code>plt.tight_layout()</code> や <code>fig.autofmt_xdate()</code> などでレイアウトを調整します。</p>
<p>6.  <code>plt.show()</code> を呼び出すことで、作成したグラフを画面に表示します。<strong> Jupyter Notebook や Colab のような環境では省略されることもありますが、スクリプトとして実行する場合は最後にこれを呼び出さないとグラフが表示されないことがあります。</strong></p>
<p>以下のコードで生成されたグラフは、<code>ax.plot([0, 1, 2], [0, 1, 0], marker="o")</code> でデータ点がプロットされ、<code>ax.set_title("最小ステップ")</code>、<code>ax.set_xlabel("Index")</code>、<code>ax.set_ylabel("Value")</code> でそれぞれタイトルと軸ラベルが設定されています。<code>plt.tight_layout()</code> で要素が重ならないように自動調整されています。</p></div>
<div class="wp-colab-cell"><pre><code class="language-python">import matplotlib.pyplot as plt #  Matplotlib の機能をインポート
import pandas as pd # pandasをインポート

# データをDataFrameで作成
data = {&#x27;X&#x27;: [0, 1, 2], &#x27;Y&#x27;: [0, 1, 0]}
df = pd.DataFrame(data)

fig, ax = plt.subplots(figsize=(5, 3.2))  # 図サイズ（インチ）
ax.plot(df[&#x27;X&#x27;], df[&#x27;Y&#x27;], marker=&quot;o&quot;) # markerは&quot;o&quot;
ax.set_title(&quot;タイトル&quot;)  # 日本語だと文字化けする場合があります
ax.set_xlabel(&quot;Index&quot;)
ax.set_ylabel(&quot;Value&quot;)
plt.tight_layout()  # 余白を自動調整
plt.show()</code></pre></div>

</code></pre></div>
<div class="wp-colab-cell"><img decoding="async" alt="figure" 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
"/></div>
<div class="wp-colab-cell"><p>> markerの種類は多数存在しています。</p>

<p>▶️ markerの公式ドキュメントも参考にしてください：<br /><a rel="noopener" href="https://matplotlib.org/stable/api/markers_api.html" target="_blank">Matplotlib.markers Documentation</a></p>


<a rel="noopener" href="https://matplotlib.org/stable/api/markers_api.html" title="matplotlib.markers &#8212; Matplotlib 3.10.8 documentation" class="blogcard-wrap external-blogcard-wrap a-wrap cf" target="_blank"><div class="blogcard external-blogcard eb-left cf"><div class="blogcard-label external-blogcard-label"><span class="fa"></span></div><figure class="blogcard-thumbnail external-blogcard-thumbnail"><img decoding="async" src="https://s.wordpress.com/mshots/v1/https%3A%2F%2Fmatplotlib.org%2Fstable%2Fapi%2Fmarkers_api.html?w=160&#038;h=90" alt="" class="blogcard-thumb-image external-blogcard-thumb-image" width="160" height="90" /></figure><div class="blogcard-content external-blogcard-content"><div class="blogcard-title external-blogcard-title">matplotlib.markers &#8212; Matplotlib 3.10.8 documentation</div><div class="blogcard-snippet external-blogcard-snippet"></div></div><div class="blogcard-footer external-blogcard-footer cf"><div class="blogcard-site external-blogcard-site"><div class="blogcard-favicon external-blogcard-favicon"><img decoding="async" src="https://www.google.com/s2/favicons?domain=https://matplotlib.org/stable/api/markers_api.html" alt="" class="blogcard-favicon-image external-blogcard-favicon-image" width="16" height="16" /></div><div class="blogcard-domain external-blogcard-domain">matplotlib.org</div></div></div></div></a></div>
<div class="wp-colab-cell"><h2><span id="toc4">3. Colab で日本語フォントを表示する</span></h2>
<p>Colab は既定フォントに日本語が含まれず、文字化けしやすいですが、以下の 2 行の設定で解決します。</p>
<p>以下のコードを実行し、<code>japanize-matplotlib</code> をインポートすることで、グラフのタイトルや軸ラベルに日本語が正しく表示されるようになります。生成されたグラフの「日本語タイトルOK」、「横軸ラベル」、「縦軸ラベル」が正しく表示されていることを確認してください。</p></div>
<div class="wp-colab-cell"><pre><code class="language-python"># 1) Google Colab の機能を使って日本語フォントをインストール
!pip install japanize-matplotlib &gt; /dev/null

# 2) Matplotlibにフォントを認識させる
import matplotlib
import matplotlib.pyplot as plt
import japanize_matplotlib # これをインポートするだけで日本語フォントが使えるようになります
import pandas as pd # pandasをインポート

# 動作確認
# データをDataFrameで作成
data = {&#x27;X&#x27;: [0, 1, 2], &#x27;Y&#x27;: [0, 1, 4]}
df = pd.DataFrame(data)

fig, ax = plt.subplots()
ax.plot(df[&#x27;X&#x27;], df[&#x27;Y&#x27;])
ax.set_title(&quot;日本語タイトル&quot;)
ax.set_xlabel(&quot;横軸ラベル&quot;)
ax.set_ylabel(&quot;縦軸ラベル&quot;)
plt.show()</code></pre></div>
<div class="wp-colab-cell"><img decoding="async" alt="figure" 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
"/></div>
<div class="wp-colab-cell"><h2><span id="toc5">4. レイアウトの基本：サイズ・余白・保存</span></h2>
<p>グラフを見やすく、目的に合った形式で出力するために、サイズ、余白、そして保存方法を調整することが重要です。</p></div>
<div class="wp-colab-cell"><h3><span id="toc6">4.1 図サイズ（インチ）と解像度（dpi）</span></h3>
<p>グラフの物理的な大きさや鮮明さを制御するには、Figure を作成する際に <code>figsize</code> と <code>dpi</code> 引数を使用します。</p>
<ul>
<li><code>figsize=(width, height)</code>: 図全体のサイズを「インチ」単位で指定します。例えば、<code>figsize=(6, 4)</code> は横 6 インチ、縦 4 インチの図を作成します。このサイズは、表示時や保存時のピクセル数に影響します。</li>
<li><code>dpi</code>: Dots Per Inch（1インチあたりのドット数）の略で、解像度を指定します。<code>dpi</code> の値が大きいほど、同じ <code>figsize</code> でもピクセル数が多くなり、より精細な画像が得られます。例えば、<code>figsize=(6, 4)</code> かつ <code>dpi=100</code> なら 600&#215;400 ピクセル、<code>dpi=150</code> なら 900&#215;600 ピクセルの画像になります。表示環境によってデフォルトの <code>dpi</code> は異なりますが、保存時には明示的に指定することが多いです。</li>
</ul>
<p>以下のコードでは、<code>plt.subplots(figsize=(6, 4), dpi=120)</code> で図のサイズが横 6 インチ、縦 4 インチ、解像度が 120dpi に設定されています。これにより、表示される図の大きさと精細さが調整されます。</p></div>
<div class="wp-colab-cell"><pre><code class="language-python">import matplotlib.pyplot as plt
import pandas as pd # pandasをインポート

# データをDataFrameで作成
data = {&#x27;X&#x27;: [1, 2, 3], &#x27;Y&#x27;: [3, 2, 1]}
df = pd.DataFrame(data)

fig, ax = plt.subplots(figsize=(6, 4), dpi=120)  # 横6inch × 縦4inch, 120dpi
ax.plot(df[&#x27;X&#x27;], df[&#x27;Y&#x27;])
ax.set_title(&quot;サイズとdpiの指定&quot;)
plt.show()</code></pre></div>
<div class="wp-colab-cell"><img decoding="async" alt="figure" 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
"/></div>
<div class="wp-colab-cell"><h3><span id="toc7">4.2 余白調整：tight_layout と constrained_layout</span></h3>
<p>グラフのタイトル、軸ラベル、凡例などがグラフ領域や他の要素と重なって見づらくなるのを防ぐために、余白を調整する機能があります。</p>
<ul>
<li><code>plt.tight_layout()</code>: サブプロット間のパディング（間隔）や、図の端と要素（タイトル、ラベルなど）の間の余白を自動的に調整し、要素の重なりを防ぎます。比較的シンプルで手軽な方法です。</li>
<li><code>constrained_layout=True</code>: <code>plt.subplots()</code> の引数として指定します。<code>tight_layout</code> よりも新しく、より洗練されたレイアウト調整機能です。タイトルやラベル、凡例といった装飾要素に必要なスペースを考慮して、より賢く全体のレイアウトを調整します。複数のサブプロットや複雑な要素がある場合におすすめです。</li>
</ul>
<p>どちらもグラフが見切れたり要素が重なったりするのを防ぐために有効ですが、<code>constrained_layout=True</code> がより多くのケースで適切に機能しやすく、新しいコードではこちらが推奨される傾向にあります。</p>
<p>以下のコードでは、<code>plt.subplots(constrained_layout=True)</code> を使用することで、タイトルが他の要素と重ならないことを示しています。</p></div>
<div class="wp-colab-cell"><pre><code class="language-python"># constrained_layout=True の場合 (2x2 サブプロット)
fig1, axes1 = plt.subplots(nrows=2, ncols=2, constrained_layout=True, figsize=(8, 6))

axes1[0, 0].set_title(&quot;constrained_layout=Trueの場合&quot;)
axes1[0, 1].set_title(&quot;サブプロット (1,2)&quot;)
axes1[1, 0].set_title(&quot;サブプロット (2,1)&quot;)
axes1[1, 1].set_title(&quot;サブプロット (2,2)&quot;)

# constrained_layout=False (デフォルト) の場合 (2x2 サブプロット)
fig2, axes2 = plt.subplots(nrows=2, ncols=2, figsize=(8, 6)) # デフォルトは constrained_layout=False

axes2[0, 0].set_title(&quot;constrained_layout=Falseの場合&quot;)
axes2[0, 1].set_title(&quot;サブプロット (1,2)&quot;)
axes2[1, 0].set_title(&quot;サブプロット (2,1)&quot;)
axes2[1, 1].set_title(&quot;サブプロット (2,2)&quot;)

plt.show()</code></pre></div>
<div class="wp-colab-cell"><img decoding="async" alt="figure" 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
"/></div>
<div class="wp-colab-cell"><img decoding="async" alt="figure" 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
"/></div>
<div class="wp-colab-cell"><h3><span id="toc8">4.3 画像保存</span></h3>
<p>作成したグラフを画像ファイルとして保存するには、Figure オブジェクトの <code>savefig()</code> メソッドを使用します。ブログや資料作成のために、グラフを画像として保存することはよくあります。</p>
<p>以下のコードは、生成したグラフを画像ファイルとして保存する方法を示しています。<code>fig.savefig("matplotlib-sample.png", bbox_inches="tight")</code> では、ファイル名を「matplotlib-sample.png」、形式を PNG とし、さらに <code>bbox_inches="tight"</code> を指定することで、図の周囲の余分な空白を自動的に取り除いて保存しています。</p>
<p><code>savefig</code> メソッドには様々な便利なオプションがあります。</p>
<ul>
<li>第一引数：保存するファイル名やパスを指定します。ファイルの拡張子（<code>.png</code>, <code>.jpg</code>, <code>.svg</code>, <code>.pdf</code> など）によって、保存される画像形式が決まります。</li>
<li><code>dpi</code>: 保存する画像の解像度を指定します。表示されている解像度とは異なる解像度で保存したい場合に指定します。ブログなどでは、表示サイズに合わせて適切な <code>dpi</code> を指定することで、ファイルサイズを抑えつつ鮮明な画像を得られます。</li>
<li><code>bbox_inches="tight"</code>: 図の周囲の不要な余白を自動的に削除して保存します。これにより、グラフ本体が画像の大部分を占めるようになり、ブログなどに貼り付けた際にスペースを有効に使えます。</li>
<li><code>transparent=True</code>: 背景を透過して保存します。PNG や SVG のような透過をサポートする画像形式で使用できます。背景が特定の色のウェブサイトに貼り付ける場合などに便利です。</li>
</ul>
<p>以下のコードを実行すると、<code>matplotlib-sample.png</code> というファイルが Colab のファイルブラウザ（左側のフォルダアイコン）に生成されます。生成されたファイルは、右クリックでダウンロードしたり、Google Drive にマウントして確認したりできます。</p>
<p>ブログ（特に WordPress）にグラフ画像を掲載する場合、以下の点も考慮すると良いでしょう。</p>
<ul>
<li><strong>画像サイズ:</strong> ブログのコンテンツ幅に合わせて、横幅 800〜1200 ピクセル程度の画像を用意することが多いです。これは <code>figsize</code> と <code>dpi</code> の組み合わせで調整します（例: <code>figsize=(8, 6)</code>, <code>dpi=100</code> → 800x600px）。</li>
<li><strong>余白:</strong> <code>bbox_inches="tight"</code> を使うと、グラフ周りの不要な余白がカットされ、ブログ上での見た目がすっきりします。</li>
<li><strong>ファイル形式:</strong> Web 用途では PNG または JPEG が一般的です。線やテキストが多いグラフは PNG、写真のようなグラデーションが多いグラフは JPEG が適していることが多いですが、グラフの場合は PNG を使うのが無難です。ベクター形式の SVG は拡大しても劣化しないため、インタラクティブな表示や印刷用途に向いています。</li>
<li><strong>alt 属性:</strong> WordPress に画像をアップロードする際、alt 属性（代替テキスト）にグラフの内容を簡潔に説明するテキスト（例：「年ごとの売上推移を示す折れ線グラフ」）を入力すると、アクセシビリティや SEO の観点から好ましいです。</li>
</ul></div>
<div class="wp-colab-cell"><pre><code class="language-python">import matplotlib.pyplot as plt
import pandas as pd # pandasをインポート

# データをDataFrameで作成
data = {&#x27;X&#x27;: [0, 1, 2], &#x27;Y&#x27;: [2, 1, 3]}
df = pd.DataFrame(data)

fig, ax = plt.subplots(figsize=(6, 4), dpi=150)
ax.plot(df[&#x27;X&#x27;], df[&#x27;Y&#x27;])
ax.set_title(&quot;保存例&quot;)
plt.tight_layout()
fig.savefig(&quot;matplotlib-sample.png&quot;, bbox_inches=&quot;tight&quot;)  # 余白を詰めて保存</code></pre></div>
<div class="wp-colab-cell"><img decoding="async" alt="figure" src="data:image/png;base64,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
"/></div>
<div class="wp-colab-cell"><h2><span id="toc9">5. よくあるエラーと対処</span></h2>
<p>Matplotlib を使っていて遭遇しやすい一般的なエラーとその対処法をまとめました。</p>
<ul>
<li><strong>日本語が□や?になる:</strong></li>
</ul>
<p>    *   <strong>原因:</strong> 日本語フォントが正しく設定されていないか、Matplotlib が認識できていない。</p>
<p>    *   <strong>対処法:</strong> Colab 環境であれば、上記の「Colab で日本語フォントを表示する」セクションにある <code>!pip install japanize-matplotlib</code> と <code>import japanize_matplotlib</code> を実行してください。ローカル環境の場合は、システムに日本語フォントがインストールされていることを確認し、Matplotlib のフォントキャッシュをクリアしたり、rcParams でフォントを指定したりする必要がある場合がありますが、<code>japanize-matplotlib</code> を使うのが最も簡単です。</p>
<ul>
<li><strong>マイナス記号が文字化け（四角になるなど）:</strong></li>
</ul>
<p>    *   <strong>原因:</strong> 使用しているフォントがマイナス記号を正しく表示できないか、Matplotlib の設定でUnicodeマイナス記号の使用がオフになっている。</p>
<p>    *   <strong>対処法:</strong> <code>plt.rcParams["axes.unicode_minus"] = False</code> を設定します。これにより、通常のハイフン記号がマイナスの代わりに使用され、文字化けを防ぐことができます。<code>japanize-matplotlib</code> を使用している場合は、この設定は不要なことが多いです。</p>
<ul>
<li><strong>軸ラベルやタイトルが図の端で切れてしまう:</strong></li>
</ul>
<p>    *   <strong>原因:</strong> グラフ要素に対して Figure や Axes のサイズが小さすぎるか、余白が不足している。</p>
<p>    *   <strong>対処法:</strong> <code>plt.tight_layout()</code> をコードの <code>plt.show()</code> の直前で呼び出すか、<code>plt.subplots()</code> を呼び出す際に <code>constrained_layout=True</code> 引数を指定します。これにより、Matplotlib が自動的に要素の重なりを避け、必要な余白を確保するようにレイアウトを調整してくれます。Figure の <code>figsize</code> を大きくすることも有効です。</p>
<ul>
<li><strong>線が細すぎる/太すぎる:</strong></li>
</ul>
<p>    *   <strong>原因:</strong> 線の太さがデフォルト設定のままになっている。</p>
<p>    *   <strong>対処法:</strong> <code>ax.plot()</code> などの描画メソッドを呼び出す際に、<code>linewidth</code> 引数で線の太さを数値で指定します。例えば、<code>ax.plot(x, y, linewidth=2)</code> とすると、線が少し太くなります。よりグローバルに線の太さを変更したい場合は、<code>plt.rcParams['lines.linewidth']</code> を設定することも可能です。</p>
<ul>
<li><strong>複数のプロットで Axes のサイズがバラバラになる:</strong></li>
</ul>
<p>    *   <strong>原因:</strong> <code>plt.subplots()</code> で作成された Axes のサイズが、デフォルトのグリッドレイアウトや手動調整によって不均一になっている。</p>
<p>    *   <strong>対処法:</strong> <code>plt.subplots()</code> でグリッドの形状（例: <code>nrows=2, ncols=2</code>）を正しく指定し、<code>tight_layout()</code> または <code>constrained_layout=True</code> を使用して自動調整に任せるのが最も簡単です。より詳細な制御が必要な場合は、<code>Figure.add_axes()</code> を使って Axes の位置とサイズを直接指定する方法もありますが、複雑になります。</p></div>
<div class="wp-colab-cell"><h2><span id="toc10">6. 次に読む：主要プロットへの道</span></h2>
<p>Matplotlib の Figure と Axes の基本的な考え方、日本語表示、そしてレイアウトの調整方法が理解できたら、次に学ぶべきは具体的なグラフの種類（プロット）の描き方です。 Matplotlib は様々な種類のグラフを描く機能を提供しており、それぞれのプロットタイプには特有のメソッドやカスタマイズオプションがあります。</p>
<p>基礎知識を土台として、よく利用される主要なプロットについて学ぶことで、データの可視化の幅が大きく広がります。</p>
<ul>
<li><strong>折れ線グラフ (<code>ax.plot()</code>):</strong> 時系列データや連続的な変化を示すのに適しています。複数の線を重ねて描いたり、線の色、種類（実線、点線など）、太さを変更したり、データ点にマーカーを付けたり、凡例を表示したりする方法を学びます。</li>
<li><strong>棒グラフ (<code>ax.bar()</code>, <code>ax.barh()</code>):</strong> 項目間の比較や数量の大小を示すのに使われます。縦向きの棒グラフ (<code>bar</code>) と横向きの棒グラフ (<code>barh</code>) があります。複数の項目を並べたり（グループ化）、積み上げたり（積み上げ棒グラフ）する方法、棒の色や幅を調整する方法を学びます。</li>
<li><strong>散布図 (<code>ax.scatter()</code>):</strong> 2つの変数間の関係性や相関を示すのに適しています。個々のデータ点をプロットします。点の大きさ (<code>s</code>) や色 (<code>c</code>) を別の変数の値によって変えることで、3つ以上の変数の関係を同時に表現したり、カラーバーを追加したりする方法を学びます。</li>
<li><strong>ヒストグラム (<code>ax.hist()</code>) と 箱ひげ図 (<code>ax.boxplot()</code>):</strong> データの分布を理解するのに役立ちます。</li>
</ul>
<p>    *   <strong>ヒストグラム:</strong> データをいくつかの区間（ビン、bin）に分け、各区間に入るデータの数を棒グラフで表示します。ビンの数をどのように決めるか (<code>bins</code>) や、度数ではなく密度を表示する方法などを学びます。</p>
<p>    *   <strong>箱ひげ図:</strong> データの四分位数、中央値、外れ値などを一つの箱と線でコンパクトに表示します。データのばらつきや分布の偏りを比較するのに便利です。外れ値の表示方法や、複数のグループの箱ひげ図を並べて表示する方法などを学びます。</p>
<p>これらの主要なプロットについて、それぞれの基本的な使い方、カスタマイズ方法、そしてどのようなデータを可視化するのに適しているかを学ぶことで、あなたのデータ分析スキルはさらに向上するでしょう。</p></div>
<div class="wp-colab-cell"><h2><span id="toc11">まとめ</span></h2>
<p>本記事では、Matplotlib を使い始める上で最も重要な基礎概念と、Google Colab でよく直面する日本語表示の問題、そしてグラフのレイアウト調整と保存方法について解説しました。</p>
<ul>
<li><strong>Figure と Axes:</strong> Matplotlib でグラフを描く際の基本的な「器」（Figure）と「中身」（Axes）の関係を理解することが第一歩です。<code>plt.subplots()</code> でこれらを同時に作成し、 Axes オブジェクトに対して描画や設定を行うのが標準的なワークフローです。</li>
<li><strong>Colab での日本語表示:</strong> <code>japanize-matplotlib</code> ライブラリを使うことで、Google Colab 環境での日本語文字化けを手軽に解消できます。</li>
<li><strong>サイズ・余白・保存:</strong> <code>figsize</code> と <code>dpi</code> で図のサイズと解像度を、<code>plt.tight_layout()</code> や <code>constrained_layout=True</code> で余白を調整し、<code>fig.savefig()</code> で必要な形式（PNG, JPEG, SVG など）と設定（<code>bbox_inches="tight"</code>, <code>dpi</code> など）でグラフを保存する方法を学びました。これらのレイアウトや保存に関する設定は、一度テンプレートとして覚えておくと、繰り返しグラフを作成する際に非常に効率的です。</li>
</ul>
<p>これらの基礎知識があれば、Matplotlib を使ったデータ可視化の第一歩を踏み出せます。次に学ぶべきは、具体的なデータの種類や目的に合わせた様々なグラフ（折れ線、棒、散布図など）の描き方です。</p>
<p>次回は「折れ線グラフの描き方：色・線種・凡例」について詳しく解説します。</p></div>

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<article><!-- ① シリーズナビゲーション --><nav class="series-nav"><a class="prev-link" href="https://pythondatalab.com/pandas-pivot/">◀ 前回：Pandas pivot と pivot_table を徹底解説！データ分析での使い分けと応用【第１８回】</a> </nav>
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  <li><a href="https://pythondatalab.com/category/pandas/basic/">◀ Pandas DataFrame入門：基本構造と作り方</a></li>
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<h3 class="rank-math-question "><span id="toc13">MatplotlibのFigureとAxesの違いは何ですか？</span></h3>
<div class="rank-math-answer ">

<p>Figureは全体の図枠、Axesはグラフが描かれる領域です。複数のAxesを1つのFigure内に配置できます。</p>

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<h3 class="rank-math-question "><span id="toc14">Colabで日本語フォントを設定するには？</span></h3>
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<p><code>matplotlib.rcParams['font.family']</code> に <code>'IPAexGothic'</code> など日本語フォントを指定します。</p>

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<h3 class="rank-math-question "><span id="toc15">FigureとAxesを同時に作成する方法は？</span></h3>
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<p><code>fig, ax = plt.subplots()</code> を使うと、FigureとAxesを同時に生成できます。</p>

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</div><p>&lt;p&gt;The post <a rel="nofollow" href="https://pythondatalab.com/matplotlib-figure-axes-colab-font/">Matplotlib入門：FigureとAxesの基本構造とColab日本語フォント設定【第１回】</a> first appeared on <a rel="nofollow" href="https://pythondatalab.com">Python Data Lab（Pythonデータラボ）</a>.&lt;/p&gt;</p>
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