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  <div class="columns is-centered">
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  <div class="column container-centered is-four-fifths">
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  <img src="./static/images/relations.jpg" alt="Neighborhood Relations of Benign Examples and AEs"/>
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- <p><strong>Figure 1. Neighborhood Relations of Benign Examples and AEs.</strong>. .</p>
 
 
 
 
 
 
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  </div>
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  </div>
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  </div>
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  <div class="columns is-centered">
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  <div class="column container-centered">
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  <table class="tg" border="1" style="width:100%; text-align:center;">
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- <thead>
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- <tr>
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- <th class="tg-amwm" rowspan="2">AUC(%)</th>
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- <th class="tg-baqh" colspan="4"><span style="font-weight:bold;font-style:italic">Unse</span><span style="font-weight:bold">e</span><span style="font-weight:bold;font-style:italic">n</span><span style="font-weight:bold">: </span>Attacks used in training are preclude from tests</th>
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- <th class="tg-baqh" colspan="5"><span style="font-weight:bold;font-style:italic">Seen</span><span style="font-weight:bold">:</span> Attacks used in training are included in tests</th>
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- </tr>
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- <tr>
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- <th class="tg-baqh">FGSM</th>
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- <th class="tg-baqh">PGD</th>
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- <th class="tg-baqh">AutoAttack</th>
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- <th class="tg-baqh">Square</th>
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- <th class="tg-baqh">FGSM</th>
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- <th class="tg-baqh">PGD</th>
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- <th class="tg-baqh">CW</th>
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- <th class="tg-baqh">AutoAttack</th>
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- <th class="tg-baqh">Square</th>
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- </tr>
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- </thead>
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- <tbody>
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- <tr>
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- <td class="tg-baqh">DkNN</td>
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- <td class="tg-baqh">61.55</td>
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- <td class="tg-baqh">51.22</td>
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- <td class="tg-baqh">52.12</td>
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- <td class="tg-baqh">59.46</td>
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- <td class="tg-baqh">61.55</td>
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- <td class="tg-baqh">51.22</td>
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- <td class="tg-baqh">61.52</td>
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- <td class="tg-baqh">52.12</td>
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- <td class="tg-baqh">59.46</td>
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- </tr>
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- <tr>
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- <td class="tg-baqh">kNN</td>
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- <td class="tg-baqh">61.83</td>
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- <td class="tg-baqh">54.52</td>
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- <td class="tg-baqh">52.67</td>
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- <td class="tg-baqh">73.39</td>
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- <td class="tg-baqh">61.83</td>
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- <td class="tg-baqh">54.52</td>
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- <td class="tg-baqh">62.23</td>
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- <td class="tg-baqh">52.67</td>
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- <td class="tg-baqh">73.39</td>
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- </tr>
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- <tr>
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- <td class="tg-baqh">LID</td>
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- <td class="tg-baqh">71.08</td>
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- <td class="tg-baqh">61.33</td>
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- <td class="tg-baqh">55.56</td>
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- <td class="tg-baqh">66.18</td>
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- <td class="tg-baqh">73.61</td>
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- <td class="tg-baqh">67.98</td>
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- <td class="tg-baqh">55.68</td>
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- <td class="tg-baqh">56.33</td>
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- <td class="tg-baqh">85.94</td>
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- </tr>
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- <tr>
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- <td class="tg-baqh">Hu</td>
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- <td class="tg-baqh">84.51</td>
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- <td class="tg-baqh">58.59</td>
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- <td class="tg-baqh">53.55</td>
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- <td class="tg-baqh">95.82</td>
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- <td class="tg-baqh">84.51</td>
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- <td class="tg-baqh">58.59</td>
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- <td class="tg-2imo">91.02</td>
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- <td class="tg-baqh">53.55</td>
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- <td class="tg-baqh">95.82</td>
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- </tr>
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- <tr>
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- <td class="tg-baqh">Mao</td>
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- <td class="tg-baqh">95.33</td>
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- <td class="tg-2imo">82.61</td>
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- <td class="tg-2imo">81.95</td>
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- <td class="tg-baqh">85.76</td>
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- <td class="tg-baqh">95.33</td>
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- <td class="tg-baqh">82.61</td>
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- <td class="tg-baqh">83.10</td>
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- <td class="tg-baqh">81.95</td>
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- <td class="tg-baqh">85.76</td>
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- </tr>
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- <tr>
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- <td class="tg-baqh">LNG</td>
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- <td class="tg-2imo">98.51 </td>
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- <td class="tg-baqh">63.14 </td>
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- <td class="tg-baqh">58.47 </td>
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- <td class="tg-2imo">94.71 </td>
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- <td class="tg-amwm">99.88 </td>
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- <td class="tg-2imo">91.39 </td>
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- <td class="tg-baqh">89.74 </td>
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- <td class="tg-2imo">84.03 </td>
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- <td class="tg-2imo">98.82 </td>
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- </tr>
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- <tr>
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- <td class="tg-baqh">BEYOND</td>
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- <td class="tg-amwm">98.89</td>
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- <td class="tg-amwm">99.28</td>
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- <td class="tg-amwm">99.16</td>
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- <td class="tg-amwm">99.27</td>
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- <td class="tg-2imo">98.89</td>
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- <td class="tg-amwm">99.28</td>
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- <td class="tg-amwm">99.20</td>
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- <td class="tg-amwm">99.16</td>
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- <td class="tg-amwm">99.27</td>
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- </tr>
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- </tbody>
 
 
 
 
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  </table>
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  </div>
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  </div>
 
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  <div class="columns is-centered">
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  <div class="column container-centered is-four-fifths">
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  <img src="./static/images/relations.jpg" alt="Neighborhood Relations of Benign Examples and AEs"/>
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+ </div>
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+ </div>
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+ <div class="columns is-centered">
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+ <div class="column has-text-justified">
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+ <p>
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+ <strong>Figure 1. Neighborhood Relations of Benign Examples and AEs.</strong>
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+ </p>
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  </div>
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  </div>
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  </div>
 
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  <div class="columns is-centered">
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  <div class="column container-centered">
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  <table class="tg" border="1" style="width:100%; text-align:center;">
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+ <caption><strong>Table 1.</strong>The Area Under the ROC Curve (AUC) of Different Adversarial Detection Approaches on CIFAR-10. LNG
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+ is not open-sourced and the data comes from its report. To align with baselines, classifier: ResNet110, FGSM: ε = 0.05, PGD:
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+ ε = 0.02. Note that BEYOND needs no AE for training, leading to the same value on both seen and unseen settings. The <strong>bold</strong> values
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+ are the best performance, and the <u><i>underlined italicized</i></u> values are the second-best performanc</caption>
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+ <thead>
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+ <tr>
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+ <th class="tg-amwm" rowspan="2">AUC(%)</th>
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+ <th class="tg-baqh" colspan="4"><span style="font-weight:bold;font-style:italic">Unse</span><span style="font-weight:bold">e</span><span style="font-weight:bold;font-style:italic">n</span><span style="font-weight:bold">: </span>Attacks used in training are preclude from tests</th>
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+ <th class="tg-baqh" colspan="5"><span style="font-weight:bold;font-style:italic">Seen</span><span style="font-weight:bold">:</span> Attacks used in training are included in tests</th>
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+ </tr>
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+ <tr>
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+ <th class="tg-baqh">FGSM</th>
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+ <th class="tg-baqh">PGD</th>
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+ <th class="tg-baqh">AutoAttack</th>
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+ <th class="tg-baqh">Square</th>
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+ <th class="tg-baqh">FGSM</th>
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+ <th class="tg-baqh">PGD</th>
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+ <th class="tg-baqh">CW</th>
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+ <th class="tg-baqh">AutoAttack</th>
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+ <th class="tg-baqh">Square</th>
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+ </tr>
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+ </thead>
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+ <tbody>
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+ <tr>
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+ <td class="tg-baqh">DkNN</td>
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+ <td class="tg-baqh">61.55</td>
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+ <td class="tg-baqh">51.22</td>
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+ <td class="tg-baqh">52.12</td>
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+ <td class="tg-baqh">59.46</td>
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+ <td class="tg-baqh">61.55</td>
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+ <td class="tg-baqh">51.22</td>
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+ <td class="tg-baqh">61.52</td>
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+ <td class="tg-baqh">52.12</td>
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+ <td class="tg-baqh">59.46</td>
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+ </tr>
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+ <tr>
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+ <td class="tg-baqh">kNN</td>
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+ <td class="tg-baqh">61.83</td>
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+ <td class="tg-baqh">54.52</td>
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+ <td class="tg-baqh">52.67</td>
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+ <td class="tg-baqh">73.39</td>
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+ <td class="tg-baqh">61.83</td>
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+ <td class="tg-baqh">54.52</td>
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+ <td class="tg-baqh">62.23</td>
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+ <td class="tg-baqh">52.67</td>
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+ <td class="tg-baqh">73.39</td>
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+ </tr>
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+ <tr>
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+ <td class="tg-baqh">LID</td>
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+ <td class="tg-baqh">71.08</td>
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+ <td class="tg-baqh">61.33</td>
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+ <td class="tg-baqh">55.56</td>
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+ <td class="tg-baqh">66.18</td>
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+ <td class="tg-baqh">73.61</td>
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+ <td class="tg-baqh">67.98</td>
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+ <td class="tg-baqh">55.68</td>
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+ <td class="tg-baqh">56.33</td>
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+ <td class="tg-baqh">85.94</td>
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+ </tr>
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+ <tr>
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+ <td class="tg-baqh">Hu</td>
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+ <td class="tg-baqh">84.51</td>
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+ <td class="tg-baqh">58.59</td>
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+ <td class="tg-baqh">53.55</td>
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+ <td class="tg-baqh">95.82</td>
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+ <td class="tg-baqh">84.51</td>
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+ <td class="tg-baqh">58.59</td>
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+ <td class="tg-2imo">91.02</td>
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+ <td class="tg-baqh">53.55</td>
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+ <td class="tg-baqh">95.82</td>
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+ </tr>
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+ <tr>
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+ <td class="tg-baqh">Mao</td>
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+ <td class="tg-baqh">95.33</td>
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+ <td class="tg-2imo">82.61</td>
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+ <td class="tg-2imo">81.95</td>
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+ <td class="tg-baqh">85.76</td>
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+ <td class="tg-baqh">95.33</td>
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+ <td class="tg-baqh">82.61</td>
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+ <td class="tg-baqh">83.10</td>
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+ <td class="tg-baqh">81.95</td>
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+ <td class="tg-baqh">85.76</td>
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+ </tr>
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+ <tr>
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+ <td class="tg-baqh">LNG</td>
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+ <td class="tg-2imo">98.51 </td>
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+ <td class="tg-baqh">63.14 </td>
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+ <td class="tg-baqh">58.47 </td>
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+ <td class="tg-2imo">94.71 </td>
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+ <td class="tg-amwm">99.88 </td>
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+ <td class="tg-2imo">91.39 </td>
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+ <td class="tg-baqh">89.74 </td>
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+ <td class="tg-2imo">84.03 </td>
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+ <td class="tg-2imo">98.82 </td>
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+ </tr>
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+ <tr>
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+ <td class="tg-baqh">BEYOND</td>
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+ <td class="tg-amwm">98.89</td>
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+ <td class="tg-amwm">99.28</td>
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+ <td class="tg-amwm">99.16</td>
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+ <td class="tg-amwm">99.27</td>
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+ <td class="tg-2imo">98.89</td>
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+ <td class="tg-amwm">99.28</td>
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+ <td class="tg-amwm">99.20</td>
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+ <td class="tg-amwm">99.16</td>
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+ <td class="tg-amwm">99.27</td>
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+ </tr>
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+ </tbody>
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  </table>
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  </div>
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  </div>