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<div class="Section1"> 
  <h1><span style=""><span style=""><span style=""><span style=""><span style=""><span style=""><span style=""><font face="Arial, Helvetica, sans-serif">Input 
    Format</font></span> </span></span></span></span></span></span></h1>
  <p><font face="Arial, Helvetica, sans-serif"><span style=""><span style=""><span style=""><span style=""><span style=""><span style="">The problem 
    instance files have the following format (all numbers are integers, all intra-line 
    separators are spaces): </span></span></span></span></span></span></font></p>
  <ul type="disc">
    <li class="MsoNormal" style=""> 
      <p><font face="Arial, Helvetica, sans-serif"><span style=""><span style=""><span style=""><span style=""><span style=""><span style=""><b>First line:</b> <br>
        Number of events, number of rooms, number of features, number of students. 
        </span></span></span></span></span></span></font></p>
    </li>
    <li class="MsoNormal" style=""> 
      <p><font face="Arial, Helvetica, sans-serif"><span style=""><span style=""><span style=""><span style=""><span style=""><span style=""><b>One line for each room:</b> 
        <br>
        Roomsize. </span></span></span></span></span></span></font></p>
    </li>
    <li class="MsoNormal" style=""> 
      <p><font face="Arial, Helvetica, sans-serif"><span style=""><span style=""><span style=""><span style=""><span style=""><span style=""><b>One line for each student/event:</b> 
        <br>
        A zero or one. Zero means that the student does NOT attend the event, 
        one means that he DOES attend the event. <br>
        In the order of these the event changes more quickly. <br>
        For example, if there were <img id="_x0000_i1028" src="node7_files/img19.png" alt="$3$" border="0" height="13" width="12" align="BOTTOM">students and <img id="_x0000_i1029" src="node7_files/img20.png" alt="$4$" border="0" height="13" width="12" align="BOTTOM">events then the following: </span></span></span></span></span></span></font></p>
    </li>
  </ul>
  <table style="margin-left: 36pt;" border="0" cellpadding="0">
    <tbody><tr> 
      <td style="padding: 2.25pt;"> <p class="MsoNormal"><font face="Arial, Helvetica, sans-serif"><span style=""><span style=""><span style=""><span style=""><span style=""><span style="">0</span></span></span></span></span></span></font></p></td>
    </tr>
    <tr> 
      <td style="padding: 2.25pt;"> <p class="MsoNormal"><font face="Arial, Helvetica, sans-serif"><span style=""><span style=""><span style=""><span style=""><span style=""><span style="">1</span></span></span></span></span></span></font></p></td>
    </tr>
    <tr> 
      <td style="padding: 2.25pt;"> <p class="MsoNormal"><font face="Arial, Helvetica, sans-serif"><span style=""><span style=""><span style=""><span style=""><span style=""><span style="">0</span></span></span></span></span></span></font></p></td>
    </tr>
    <tr> 
      <td style="padding: 2.25pt;"> <p class="MsoNormal"><font face="Arial, Helvetica, sans-serif"><span style=""><span style=""><span style=""><span style=""><span style=""><span style="">0</span></span></span></span></span></span></font></p></td>
    </tr>
    <tr> 
      <td style="padding: 2.25pt;"> <p class="MsoNormal"><font face="Arial, Helvetica, sans-serif"><span style=""><span style=""><span style=""><span style=""><span style=""><span style="">1</span></span></span></span></span></span></font></p></td>
    </tr>
    <tr> 
      <td style="padding: 2.25pt;"> <p class="MsoNormal"><font face="Arial, Helvetica, sans-serif"><span style=""><span style=""><span style=""><span style=""><span style=""><span style="">1</span></span></span></span></span></span></font></p></td>
    </tr>
    <tr> 
      <td style="padding: 2.25pt;"> <p class="MsoNormal"><font face="Arial, Helvetica, sans-serif"><span style=""><span style=""><span style=""><span style=""><span style=""><span style="">0</span></span></span></span></span></span></font></p></td>
    </tr>
    <tr> 
      <td style="padding: 2.25pt;"> <p class="MsoNormal"><font face="Arial, Helvetica, sans-serif"><span style=""><span style=""><span style=""><span style=""><span style=""><span style="">0</span></span></span></span></span></span></font></p></td>
    </tr>
    <tr> 
      <td style="padding: 2.25pt;"> <p class="MsoNormal"><font face="Arial, Helvetica, sans-serif"><span style=""><span style=""><span style=""><span style=""><span style=""><span style="">0</span></span></span></span></span></span></font></p></td>
    </tr>
    <tr> 
      <td style="padding: 2.25pt;"> <p class="MsoNormal"><font face="Arial, Helvetica, sans-serif"><span style=""><span style=""><span style=""><span style=""><span style=""><span style="">0</span></span></span></span></span></span></font></p></td>
    </tr>
    <tr> 
      <td style="padding: 2.25pt;"> <p class="MsoNormal"><font face="Arial, Helvetica, sans-serif"><span style=""><span style=""><span style=""><span style=""><span style=""><span style="">1</span></span></span></span></span></span></font></p></td>
    </tr>
    <tr> 
      <td style="padding: 2.25pt;"> <p class="MsoNormal"><font face="Arial, Helvetica, sans-serif"><span style=""><span style=""><span style=""><span style=""><span style=""><span style="">0</span></span></span></span></span></span></font></p></td>
    </tr>
  </tbody></table>
  <p><font face="Arial, Helvetica, sans-serif"><span style=""><span style=""><span style=""><span style=""><span style=""><span style=""><span style="">&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp; 
    </span>would give this <i>attends</i> matrix: </span></span></span></span></span></span></font></p>
  <table style="margin-left: 36pt;" border="0" cellpadding="0">
    <tbody><tr> 
      <td style="padding: 2.25pt;"> <p class="MsoNormal"><font face="Arial, Helvetica, sans-serif"><span style=""><span style=""><span style=""><span style=""><span style=""><span style="">&nbsp;</span></span></span></span></span></span></font></p></td>
      <td style="padding: 2.25pt;"> <p class="MsoNormal" style="text-align: center;" align="center"><font face="Arial, Helvetica, sans-serif"><span style=""><span style=""><span style=""><span style=""><span style=""><span style="">&nbsp;</span></span></span></span></span></span></font></p></td>
      <td style="padding: 2.25pt;"> <p class="MsoNormal" style="text-align: center;" align="center"><font face="Arial, Helvetica, sans-serif"><span style=""><span style=""><span style=""><span style=""><span style=""><span style="">&nbsp;</span></span></span></span></span></span></font></p></td>
      <td style="padding: 2.25pt;"> <p class="MsoNormal" style="text-align: center;" align="center"><font face="Arial, Helvetica, sans-serif"><span style=""><span style=""><span style=""><span style=""><span style=""><span style="">event</span></span></span></span></span></span></font></p></td>
      <td style="padding: 2.25pt;"> <p class="MsoNormal" style="text-align: center;" align="center"><font face="Arial, Helvetica, sans-serif"><span style=""><span style=""><span style=""><span style=""><span style=""><span style="">&nbsp;</span></span></span></span></span></span></font></p></td>
      <td style="padding: 2.25pt;"> <p class="MsoNormal" style="text-align: center;" align="center"><font face="Arial, Helvetica, sans-serif"><span style=""><span style=""><span style=""><span style=""><span style=""><span style="">&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;</span></span></span></span></span></span></font></p></td>
    </tr>
    <tr> 
      <td style="padding: 2.25pt;"> <p class="MsoNormal"><font face="Arial, Helvetica, sans-serif"><span style=""><span style=""><span style=""><span style=""><span style=""><span style="">&nbsp;</span></span></span></span></span></span></font></p></td>
      <td style="padding: 2.25pt;"> <p class="MsoNormal" style="text-align: center;" align="center"><font face="Arial, Helvetica, sans-serif"><span style=""><span style=""><span style=""><span style=""><span style=""><span style="">&nbsp;</span></span></span></span></span></span></font></p></td>
      <td style="padding: 2.25pt;"> <p class="MsoNormal" style="text-align: center;" align="center"><font face="Arial, Helvetica, sans-serif"><span style=""><span style=""><span style=""><span style=""><span style=""><span style="">0</span></span></span></span></span></span></font></p></td>
      <td style="padding: 2.25pt;"> <p class="MsoNormal" style="text-align: center;" align="center"><font face="Arial, Helvetica, sans-serif"><span style=""><span style=""><span style=""><span style=""><span style=""><span style="">1</span></span></span></span></span></span></font></p></td>
      <td style="padding: 2.25pt;"> <p class="MsoNormal" style="text-align: center;" align="center"><font face="Arial, Helvetica, sans-serif"><span style=""><span style=""><span style=""><span style=""><span style=""><span style="">0</span></span></span></span></span></span></font></p></td>
      <td style="padding: 2.25pt;"> <p class="MsoNormal" style="text-align: center;" align="center"><font face="Arial, Helvetica, sans-serif"><span style=""><span style=""><span style=""><span style=""><span style=""><span style="">0</span></span></span></span></span></span></font></p></td>
    </tr>
    <tr> 
      <td style="padding: 2.25pt;"> <p class="MsoNormal"><font face="Arial, Helvetica, sans-serif"><span style=""><span style=""><span style=""><span style=""><span style=""><span style="">student</span></span></span></span></span></span></font></p></td>
      <td style="padding: 2.25pt;"> <p class="MsoNormal" style="text-align: center;" align="center"><font face="Arial, Helvetica, sans-serif"><span style=""><span style=""><span style=""><span style=""><span style=""><span style="">&nbsp;</span></span></span></span></span></span></font></p></td>
      <td style="padding: 2.25pt;"> <p class="MsoNormal" style="text-align: center;" align="center"><font face="Arial, Helvetica, sans-serif"><span style=""><span style=""><span style=""><span style=""><span style=""><span style="">1</span></span></span></span></span></span></font></p></td>
      <td style="padding: 2.25pt;"> <p class="MsoNormal" style="text-align: center;" align="center"><font face="Arial, Helvetica, sans-serif"><span style=""><span style=""><span style=""><span style=""><span style=""><span style="">1</span></span></span></span></span></span></font></p></td>
      <td style="padding: 2.25pt;"> <p class="MsoNormal" style="text-align: center;" align="center"><font face="Arial, Helvetica, sans-serif"><span style=""><span style=""><span style=""><span style=""><span style=""><span style="">0</span></span></span></span></span></span></font></p></td>
      <td style="padding: 2.25pt;"> <p class="MsoNormal" style="text-align: center;" align="center"><font face="Arial, Helvetica, sans-serif"><span style=""><span style=""><span style=""><span style=""><span style=""><span style="">0</span></span></span></span></span></span></font></p></td>
    </tr>
    <tr> 
      <td style="padding: 2.25pt;"> <p class="MsoNormal"><font face="Arial, Helvetica, sans-serif"><span style=""><span style=""><span style=""><span style=""><span style=""><span style="">&nbsp;</span></span></span></span></span></span></font></p></td>
      <td style="padding: 2.25pt;"> <p class="MsoNormal" style="text-align: center;" align="center"><font face="Arial, Helvetica, sans-serif"><span style=""><span style=""><span style=""><span style=""><span style=""><span style="">&nbsp;</span></span></span></span></span></span></font></p></td>
      <td style="padding: 2.25pt;"> <p class="MsoNormal" style="text-align: center;" align="center"><font face="Arial, Helvetica, sans-serif"><span style=""><span style=""><span style=""><span style=""><span style=""><span style="">0</span></span></span></span></span></span></font></p></td>
      <td style="padding: 2.25pt;"> <p class="MsoNormal" style="text-align: center;" align="center"><font face="Arial, Helvetica, sans-serif"><span style=""><span style=""><span style=""><span style=""><span style=""><span style="">0</span></span></span></span></span></span></font></p></td>
      <td style="padding: 2.25pt;"> <p class="MsoNormal" style="text-align: center;" align="center"><font face="Arial, Helvetica, sans-serif"><span style=""><span style=""><span style=""><span style=""><span style=""><span style="">1</span></span></span></span></span></span></font></p></td>
      <td style="padding: 2.25pt;"> <p class="MsoNormal" style="text-align: center;" align="center"><font face="Arial, Helvetica, sans-serif"><span style=""><span style=""><span style=""><span style=""><span style=""><span style="">0</span></span></span></span></span></span></font></p></td>
    </tr>
  </tbody></table>
  <p><font face="Arial, Helvetica, sans-serif"><span style=""><span style=""><span style=""><span style=""><span style=""><span style=""><span style="">&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp; </span><span style="">&nbsp;&nbsp;&nbsp;</span>Meaning: </span></span></span></span></span></span></font></p>
  <p style="margin-left: 18pt;"><font face="Arial, Helvetica, sans-serif"><span style=""><span style=""><span style=""><span style=""><span style=""><span style=""><span style="">&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp; </span>the first student attends the 
    second event <br>
    <span style="">&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp; </span>the 
    second student attends the first and second events <br>
    <span style="">&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp; </span>the 
    third student attends the third event </span></span></span></span></span></span></font></p>
</div>
<ul>
  <li> 
    <p><font face="Arial, Helvetica, sans-serif"><span style=""><span style=""><span style=""><span style=""><span style=""><span style=""><b>One line for each room/feature:</b> <br>
      A zero if the room does NOT satisfy the feature, or a one if the room DOES 
      satisfy the feature. <br>
      In the order of these the feature changes more quickly. <br>
      For example, if there were <img id="_x0000_i1030" src="node7_files/img19.png" alt="$3$" border="0" height="13" width="12" align="BOTTOM">rooms and <img id="_x0000_i1031" src="node7_files/img20.png" alt="$4$" border="0" height="13" width="12" align="BOTTOM">features then 
      the following: </span></span></span></span></span></span></font></p>
  </li>
</ul>
<div class="Section1"> 
  <table style="margin-left: 36pt;" border="0" cellpadding="0">
    <tbody><tr> 
      <td style="padding: 2.25pt;"> <p class="MsoNormal"><font face="Arial, Helvetica, sans-serif"><span style=""><span style=""><span style=""><span style=""><span style=""><span style="">0</span></span></span></span></span></span></font></p></td>
    </tr>
    <tr> 
      <td style="padding: 2.25pt;"> <p class="MsoNormal"><font face="Arial, Helvetica, sans-serif"><span style=""><span style=""><span style=""><span style=""><span style=""><span style="">1</span></span></span></span></span></span></font></p></td>
    </tr>
    <tr> 
      <td style="padding: 2.25pt;"> <p class="MsoNormal"><font face="Arial, Helvetica, sans-serif"><span style=""><span style=""><span style=""><span style=""><span style=""><span style="">0</span></span></span></span></span></span></font></p></td>
    </tr>
    <tr> 
      <td style="padding: 2.25pt;"> <p class="MsoNormal"><font face="Arial, Helvetica, sans-serif"><span style=""><span style=""><span style=""><span style=""><span style=""><span style="">0</span></span></span></span></span></span></font></p></td>
    </tr>
    <tr> 
      <td style="padding: 2.25pt;"> <p class="MsoNormal"><font face="Arial, Helvetica, sans-serif"><span style=""><span style=""><span style=""><span style=""><span style=""><span style="">1</span></span></span></span></span></span></font></p></td>
    </tr>
    <tr> 
      <td style="padding: 2.25pt;"> <p class="MsoNormal"><font face="Arial, Helvetica, sans-serif"><span style=""><span style=""><span style=""><span style=""><span style=""><span style="">1</span></span></span></span></span></span></font></p></td>
    </tr>
    <tr> 
      <td style="padding: 2.25pt;"> <p class="MsoNormal"><font face="Arial, Helvetica, sans-serif"><span style=""><span style=""><span style=""><span style=""><span style=""><span style="">0</span></span></span></span></span></span></font></p></td>
    </tr>
    <tr> 
      <td style="padding: 2.25pt;"> <p class="MsoNormal"><font face="Arial, Helvetica, sans-serif"><span style=""><span style=""><span style=""><span style=""><span style=""><span style="">0</span></span></span></span></span></span></font></p></td>
    </tr>
    <tr> 
      <td style="padding: 2.25pt;"> <p class="MsoNormal"><font face="Arial, Helvetica, sans-serif"><span style=""><span style=""><span style=""><span style=""><span style=""><span style="">0</span></span></span></span></span></span></font></p></td>
    </tr>
    <tr> 
      <td style="padding: 2.25pt;"> <p class="MsoNormal"><font face="Arial, Helvetica, sans-serif"><span style=""><span style=""><span style=""><span style=""><span style=""><span style="">0</span></span></span></span></span></span></font></p></td>
    </tr>
    <tr> 
      <td style="padding: 2.25pt;"> <p class="MsoNormal"><font face="Arial, Helvetica, sans-serif"><span style=""><span style=""><span style=""><span style=""><span style=""><span style="">1</span></span></span></span></span></span></font></p></td>
    </tr>
    <tr> 
      <td style="padding: 2.25pt;"> <p class="MsoNormal"><font face="Arial, Helvetica, sans-serif"><span style=""><span style=""><span style=""><span style=""><span style=""><span style="">0</span></span></span></span></span></span></font></p></td>
    </tr>
  </tbody></table>
  <p style="margin-left: 18pt;"><font face="Arial, Helvetica, sans-serif"><span style=""><span style=""><span style=""><span style=""><span style=""><span style=""><span style="">&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp; </span>would give this <i>roomfeatures</i> 
    matrix: </span></span></span></span></span></span></font></p>
  <table style="margin-left: 36pt;" border="0" cellpadding="0">
    <tbody><tr> 
      <td style="padding: 2.25pt;"> <p class="MsoNormal"><font face="Arial, Helvetica, sans-serif"><span style=""><span style=""><span style=""><span style=""><span style=""><span style="">&nbsp;</span></span></span></span></span></span></font></p></td>
      <td style="padding: 2.25pt;"> <p class="MsoNormal" style="text-align: center;" align="center"><font face="Arial, Helvetica, sans-serif"><span style=""><span style=""><span style=""><span style=""><span style=""><span style="">&nbsp;</span></span></span></span></span></span></font></p></td>
      <td style="padding: 2.25pt;"> <p class="MsoNormal" style="text-align: center;" align="center"><font face="Arial, Helvetica, sans-serif"><span style=""><span style=""><span style=""><span style=""><span style=""><span style="">&nbsp;</span></span></span></span></span></span></font></p></td>
      <td style="padding: 2.25pt;"> <p class="MsoNormal" style="text-align: center;" align="center"><font face="Arial, Helvetica, sans-serif"><span style=""><span style=""><span style=""><span style=""><span style=""><span style="">feature</span></span></span></span></span></span></font></p></td>
      <td style="padding: 2.25pt;"> <p class="MsoNormal" style="text-align: center;" align="center"><font face="Arial, Helvetica, sans-serif"><span style=""><span style=""><span style=""><span style=""><span style=""><span style="">&nbsp;</span></span></span></span></span></span></font></p></td>
      <td style="padding: 2.25pt;"> <p class="MsoNormal" style="text-align: center;" align="center"><font face="Arial, Helvetica, sans-serif"><span style=""><span style=""><span style=""><span style=""><span style=""><span style="">&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;</span></span></span></span></span></span></font></p></td>
    </tr>
    <tr> 
      <td style="padding: 2.25pt;"> <p class="MsoNormal"><font face="Arial, Helvetica, sans-serif"><span style=""><span style=""><span style=""><span style=""><span style=""><span style="">&nbsp;</span></span></span></span></span></span></font></p></td>
      <td style="padding: 2.25pt;"> <p class="MsoNormal" style="text-align: center;" align="center"><font face="Arial, Helvetica, sans-serif"><span style=""><span style=""><span style=""><span style=""><span style=""><span style="">&nbsp;</span></span></span></span></span></span></font></p></td>
      <td style="padding: 2.25pt;"> <p class="MsoNormal" style="text-align: center;" align="center"><font face="Arial, Helvetica, sans-serif"><span style=""><span style=""><span style=""><span style=""><span style=""><span style="">0</span></span></span></span></span></span></font></p></td>
      <td style="padding: 2.25pt;"> <p class="MsoNormal" style="text-align: center;" align="center"><font face="Arial, Helvetica, sans-serif"><span style=""><span style=""><span style=""><span style=""><span style=""><span style="">1</span></span></span></span></span></span></font></p></td>
      <td style="padding: 2.25pt;"> <p class="MsoNormal" style="text-align: center;" align="center"><font face="Arial, Helvetica, sans-serif"><span style=""><span style=""><span style=""><span style=""><span style=""><span style="">0</span></span></span></span></span></span></font></p></td>
      <td style="padding: 2.25pt;"> <p class="MsoNormal" style="text-align: center;" align="center"><font face="Arial, Helvetica, sans-serif"><span style=""><span style=""><span style=""><span style=""><span style=""><span style="">0</span></span></span></span></span></span></font></p></td>
    </tr>
    <tr> 
      <td style="padding: 2.25pt;"> <p class="MsoNormal"><font face="Arial, Helvetica, sans-serif"><span style=""><span style=""><span style=""><span style=""><span style=""><span style="">room</span></span></span></span></span></span></font></p></td>
      <td style="padding: 2.25pt;"> <p class="MsoNormal" style="text-align: center;" align="center"><font face="Arial, Helvetica, sans-serif"><span style=""><span style=""><span style=""><span style=""><span style=""><span style="">&nbsp;</span></span></span></span></span></span></font></p></td>
      <td style="padding: 2.25pt;"> <p class="MsoNormal" style="text-align: center;" align="center"><font face="Arial, Helvetica, sans-serif"><span style=""><span style=""><span style=""><span style=""><span style=""><span style="">1</span></span></span></span></span></span></font></p></td>
      <td style="padding: 2.25pt;"> <p class="MsoNormal" style="text-align: center;" align="center"><font face="Arial, Helvetica, sans-serif"><span style=""><span style=""><span style=""><span style=""><span style=""><span style="">1</span></span></span></span></span></span></font></p></td>
      <td style="padding: 2.25pt;"> <p class="MsoNormal" style="text-align: center;" align="center"><font face="Arial, Helvetica, sans-serif"><span style=""><span style=""><span style=""><span style=""><span style=""><span style="">0</span></span></span></span></span></span></font></p></td>
      <td style="padding: 2.25pt;"> <p class="MsoNormal" style="text-align: center;" align="center"><font face="Arial, Helvetica, sans-serif"><span style=""><span style=""><span style=""><span style=""><span style=""><span style="">0</span></span></span></span></span></span></font></p></td>
    </tr>
    <tr> 
      <td style="padding: 2.25pt;"> <p class="MsoNormal"><font face="Arial, Helvetica, sans-serif"><span style=""><span style=""><span style=""><span style=""><span style=""><span style="">&nbsp;</span></span></span></span></span></span></font></p></td>
      <td style="padding: 2.25pt;"> <p class="MsoNormal" style="text-align: center;" align="center"><font face="Arial, Helvetica, sans-serif"><span style=""><span style=""><span style=""><span style=""><span style=""><span style="">&nbsp;</span></span></span></span></span></span></font></p></td>
      <td style="padding: 2.25pt;"> <p class="MsoNormal" style="text-align: center;" align="center"><font face="Arial, Helvetica, sans-serif"><span style=""><span style=""><span style=""><span style=""><span style=""><span style="">0</span></span></span></span></span></span></font></p></td>
      <td style="padding: 2.25pt;"> <p class="MsoNormal" style="text-align: center;" align="center"><font face="Arial, Helvetica, sans-serif"><span style=""><span style=""><span style=""><span style=""><span style=""><span style="">0</span></span></span></span></span></span></font></p></td>
      <td style="padding: 2.25pt;"> <p class="MsoNormal" style="text-align: center;" align="center"><font face="Arial, Helvetica, sans-serif"><span style=""><span style=""><span style=""><span style=""><span style=""><span style="">1</span></span></span></span></span></span></font></p></td>
      <td style="padding: 2.25pt;"> <p class="MsoNormal" style="text-align: center;" align="center"><font face="Arial, Helvetica, sans-serif"><span style=""><span style=""><span style=""><span style=""><span style=""><span style="">0</span></span></span></span></span></span></font></p></td>
    </tr>
  </tbody></table>
  <p style="margin-left: 18pt;"><font face="Arial, Helvetica, sans-serif"><span style=""><span style=""><span style=""><span style=""><span style=""><span style=""><span style="">&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp; </span>Meaning: </span></span></span></span></span></span></font></p>
  <p style="margin-left: 18pt;"><font face="Arial, Helvetica, sans-serif"><span style=""><span style=""><span style=""><span style=""><span style=""><span style=""><span style="">&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp; </span>the first room satisfies the 
    second feature <br>
    <span style="">&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp; </span>the 
    second room satisfies the first and second features <br>
    <span style="">&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp; </span>the 
    third room satisfies the third feature </span></span></span></span></span></span></font></p>
</div>
<ul>
  <li> 
    <p><font face="Arial, Helvetica, sans-serif"><span style=""><span style=""><span style=""><span style=""><span style=""><span style=""><b>One line for each event/feature:</b> <br>
      A zero if the event does NOT require the feature, or a one if it DOES. <br>
      In the order of these the feature changes more quickly. <br>
      For example, if there were <img id="_x0000_i1032" src="node7_files/img19.png" alt="$3$" border="0" height="13" width="12" align="BOTTOM">events and <img id="_x0000_i1033" src="node7_files/img20.png" alt="$4$" border="0" height="13" width="12" align="BOTTOM">features then 
      the following: </span></span></span></span></span></span></font></p>
  </li>
</ul>
<div class="Section1"> 
  <table style="margin-left: 36pt;" border="0" cellpadding="0">
    <tbody><tr> 
      <td style="padding: 2.25pt;"> <p class="MsoNormal"><font face="Arial, Helvetica, sans-serif"><span style=""><span style=""><span style=""><span style=""><span style=""><span style="">0</span></span></span></span></span></span></font></p></td>
    </tr>
    <tr> 
      <td style="padding: 2.25pt;"> <p class="MsoNormal"><font face="Arial, Helvetica, sans-serif"><span style=""><span style=""><span style=""><span style=""><span style=""><span style="">1</span></span></span></span></span></span></font></p></td>
    </tr>
    <tr> 
      <td style="padding: 2.25pt;"> <p class="MsoNormal"><font face="Arial, Helvetica, sans-serif"><span style=""><span style=""><span style=""><span style=""><span style=""><span style="">0</span></span></span></span></span></span></font></p></td>
    </tr>
    <tr> 
      <td style="padding: 2.25pt;"> <p class="MsoNormal"><font face="Arial, Helvetica, sans-serif"><span style=""><span style=""><span style=""><span style=""><span style=""><span style="">0</span></span></span></span></span></span></font></p></td>
    </tr>
    <tr> 
      <td style="padding: 2.25pt;"> <p class="MsoNormal"><font face="Arial, Helvetica, sans-serif"><span style=""><span style=""><span style=""><span style=""><span style=""><span style="">1</span></span></span></span></span></span></font></p></td>
    </tr>
    <tr> 
      <td style="padding: 2.25pt;"> <p class="MsoNormal"><font face="Arial, Helvetica, sans-serif"><span style=""><span style=""><span style=""><span style=""><span style=""><span style="">1</span></span></span></span></span></span></font></p></td>
    </tr>
    <tr> 
      <td style="padding: 2.25pt;"> <p class="MsoNormal"><font face="Arial, Helvetica, sans-serif"><span style=""><span style=""><span style=""><span style=""><span style=""><span style="">0</span></span></span></span></span></span></font></p></td>
    </tr>
    <tr> 
      <td style="padding: 2.25pt;"> <p class="MsoNormal"><font face="Arial, Helvetica, sans-serif"><span style=""><span style=""><span style=""><span style=""><span style=""><span style="">0</span></span></span></span></span></span></font></p></td>
    </tr>
    <tr> 
      <td style="padding: 2.25pt;"> <p class="MsoNormal"><font face="Arial, Helvetica, sans-serif"><span style=""><span style=""><span style=""><span style=""><span style=""><span style="">0</span></span></span></span></span></span></font></p></td>
    </tr>
    <tr> 
      <td style="padding: 2.25pt;"> <p class="MsoNormal"><font face="Arial, Helvetica, sans-serif"><span style=""><span style=""><span style=""><span style=""><span style=""><span style="">0</span></span></span></span></span></span></font></p></td>
    </tr>
    <tr> 
      <td style="padding: 2.25pt;"> <p class="MsoNormal"><font face="Arial, Helvetica, sans-serif"><span style=""><span style=""><span style=""><span style=""><span style=""><span style="">1</span></span></span></span></span></span></font></p></td>
    </tr>
    <tr> 
      <td style="padding: 2.25pt;"> <p class="MsoNormal"><font face="Arial, Helvetica, sans-serif"><span style=""><span style=""><span style=""><span style=""><span style=""><span style="">0</span></span></span></span></span></span></font></p></td>
    </tr>
  </tbody></table>
  <p style="margin-left: 18pt;"><font face="Arial, Helvetica, sans-serif"><span style=""><span style=""><span style=""><span style=""><span style=""><span style=""><span style="">&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp; </span>would give this <i>eventfeatures</i> 
    matrix: </span></span></span></span></span></span></font></p>
  <table style="margin-left: 36pt;" border="0" cellpadding="0">
    <tbody><tr> 
      <td style="padding: 2.25pt;"> <p class="MsoNormal"><font face="Arial, Helvetica, sans-serif"><span style=""><span style=""><span style=""><span style=""><span style=""><span style="">&nbsp;</span></span></span></span></span></span></font></p></td>
      <td style="padding: 2.25pt;"> <p class="MsoNormal" style="text-align: center;" align="center"><font face="Arial, Helvetica, sans-serif"><span style=""><span style=""><span style=""><span style=""><span style=""><span style="">&nbsp;</span></span></span></span></span></span></font></p></td>
      <td style="padding: 2.25pt;"> <p class="MsoNormal" style="text-align: center;" align="center"><font face="Arial, Helvetica, sans-serif"><span style=""><span style=""><span style=""><span style=""><span style=""><span style="">&nbsp;</span></span></span></span></span></span></font></p></td>
      <td style="padding: 2.25pt;"> <p class="MsoNormal" style="text-align: center;" align="center"><font face="Arial, Helvetica, sans-serif"><span style=""><span style=""><span style=""><span style=""><span style=""><span style="">feature</span></span></span></span></span></span></font></p></td>
      <td style="padding: 2.25pt;"> <p class="MsoNormal" style="text-align: center;" align="center"><font face="Arial, Helvetica, sans-serif"><span style=""><span style=""><span style=""><span style=""><span style=""><span style="">&nbsp;</span></span></span></span></span></span></font></p></td>
      <td style="padding: 2.25pt;"> <p class="MsoNormal" style="text-align: center;" align="center"><font face="Arial, Helvetica, sans-serif"><span style=""><span style=""><span style=""><span style=""><span style=""><span style="">&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;</span></span></span></span></span></span></font></p></td>
    </tr>
    <tr> 
      <td style="padding: 2.25pt;"> <p class="MsoNormal"><font face="Arial, Helvetica, sans-serif"><span style=""><span style=""><span style=""><span style=""><span style=""><span style="">&nbsp;</span></span></span></span></span></span></font></p></td>
      <td style="padding: 2.25pt;"> <p class="MsoNormal" style="text-align: center;" align="center"><font face="Arial, Helvetica, sans-serif"><span style=""><span style=""><span style=""><span style=""><span style=""><span style="">&nbsp;</span></span></span></span></span></span></font></p></td>
      <td style="padding: 2.25pt;"> <p class="MsoNormal" style="text-align: center;" align="center"><font face="Arial, Helvetica, sans-serif"><span style=""><span style=""><span style=""><span style=""><span style=""><span style="">0</span></span></span></span></span></span></font></p></td>
      <td style="padding: 2.25pt;"> <p class="MsoNormal" style="text-align: center;" align="center"><font face="Arial, Helvetica, sans-serif"><span style=""><span style=""><span style=""><span style=""><span style=""><span style="">1</span></span></span></span></span></span></font></p></td>
      <td style="padding: 2.25pt;"> <p class="MsoNormal" style="text-align: center;" align="center"><font face="Arial, Helvetica, sans-serif"><span style=""><span style=""><span style=""><span style=""><span style=""><span style="">0</span></span></span></span></span></span></font></p></td>
      <td style="padding: 2.25pt;"> <p class="MsoNormal" style="text-align: center;" align="center"><font face="Arial, Helvetica, sans-serif"><span style=""><span style=""><span style=""><span style=""><span style=""><span style="">0</span></span></span></span></span></span></font></p></td>
    </tr>
    <tr> 
      <td style="padding: 2.25pt;"> <p class="MsoNormal"><font face="Arial, Helvetica, sans-serif"><span style=""><span style=""><span style=""><span style=""><span style=""><span style="">event</span></span></span></span></span></span></font></p></td>
      <td style="padding: 2.25pt;"> <p class="MsoNormal" style="text-align: center;" align="center"><font face="Arial, Helvetica, sans-serif"><span style=""><span style=""><span style=""><span style=""><span style=""><span style="">&nbsp;</span></span></span></span></span></span></font></p></td>
      <td style="padding: 2.25pt;"> <p class="MsoNormal" style="text-align: center;" align="center"><font face="Arial, Helvetica, sans-serif"><span style=""><span style=""><span style=""><span style=""><span style=""><span style="">1</span></span></span></span></span></span></font></p></td>
      <td style="padding: 2.25pt;"> <p class="MsoNormal" style="text-align: center;" align="center"><font face="Arial, Helvetica, sans-serif"><span style=""><span style=""><span style=""><span style=""><span style=""><span style="">1</span></span></span></span></span></span></font></p></td>
      <td style="padding: 2.25pt;"> <p class="MsoNormal" style="text-align: center;" align="center"><font face="Arial, Helvetica, sans-serif"><span style=""><span style=""><span style=""><span style=""><span style=""><span style="">0</span></span></span></span></span></span></font></p></td>
      <td style="padding: 2.25pt;"> <p class="MsoNormal" style="text-align: center;" align="center"><font face="Arial, Helvetica, sans-serif"><span style=""><span style=""><span style=""><span style=""><span style=""><span style="">0</span></span></span></span></span></span></font></p></td>
    </tr>
    <tr> 
      <td style="padding: 2.25pt;"> <p class="MsoNormal"><font face="Arial, Helvetica, sans-serif"><span style=""><span style=""><span style=""><span style=""><span style=""><span style="">&nbsp;</span></span></span></span></span></span></font></p></td>
      <td style="padding: 2.25pt;"> <p class="MsoNormal" style="text-align: center;" align="center"><font face="Arial, Helvetica, sans-serif"><span style=""><span style=""><span style=""><span style=""><span style=""><span style="">&nbsp;</span></span></span></span></span></span></font></p></td>
      <td style="padding: 2.25pt;"> <p class="MsoNormal" style="text-align: center;" align="center"><font face="Arial, Helvetica, sans-serif"><span style=""><span style=""><span style=""><span style=""><span style=""><span style="">0</span></span></span></span></span></span></font></p></td>
      <td style="padding: 2.25pt;"> <p class="MsoNormal" style="text-align: center;" align="center"><font face="Arial, Helvetica, sans-serif"><span style=""><span style=""><span style=""><span style=""><span style=""><span style="">0</span></span></span></span></span></span></font></p></td>
      <td style="padding: 2.25pt;"> <p class="MsoNormal" style="text-align: center;" align="center"><font face="Arial, Helvetica, sans-serif"><span style=""><span style=""><span style=""><span style=""><span style=""><span style="">1</span></span></span></span></span></span></font></p></td>
      <td style="padding: 2.25pt;"> <p class="MsoNormal" style="text-align: center;" align="center"><font face="Arial, Helvetica, sans-serif"><span style=""><span style=""><span style=""><span style=""><span style=""><span style="">0</span></span></span></span></span></span></font></p></td>
    </tr>
  </tbody></table>
  <p style="margin-left: 18pt;"><font face="Arial, Helvetica, sans-serif"><span style=""><span style=""><span style=""><span style=""><span style=""><span style=""><span style="">&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp; </span>Meaning: </span></span></span></span></span></span></font></p>
  <p style="margin-left: 18pt;"><font face="Arial, Helvetica, sans-serif"><span style=""><span style=""><span style=""><span style=""><span style=""><span style=""><span style="">&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp; </span>the first event requires the 
    second feature <br>
    <span style="">&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp; </span>the 
    second event requires the first and second features <br>
    <span style="">&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp; </span>the 
    third event requires the third feature </span></span></span></span></span></span></font></p>
</div>

</body></html>