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<b><font face="Arial, Helvetica, sans-serif" size="4" color="#000000">(2) <font color="#FF0000">Binary search</font>
<font color="#0033CC">assume: </font> the list is ordered on the key field
<font color="#0033CC">program </font> <font color="#FF0000"> O( logn )
</font>
int <font color="#FF0000">binsearch</font>(element list [ ], int searchnum, int n)
{<i><font size="3" color="#CC0099">/* search list[0],....,list[n-1] */</font></i>
int left = 0,right = n-1, middle;
while (left <= right){
middle = (left + right)/2;
switch(COMPARE(list[middle].key, searchnum)){
case -1:left = middle+1;
break;
case 0: return middle;
case 1: right = middle-1;
}
}
return -1;
}
<img src="image/binarysea1.gif" width="476" height="90"> </font></b></pre>
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<td width="387"><b><font face="Arial, Helvetica, sans-serif" size="4" color="#000000"><font color="#FF0000">decision
tree for binary search</font></font></b></td>
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<pre><font face="Arial, Helvetica, sans-serif" size="4" color="#000000"><b><font color="#FF0000">
(4,15,17,26,30,<font color="#000000">46</font>,48,56,58,82,90,95)</font></b></font></pre>
<pre><b><font face="Arial, Helvetica, sans-serif" size="4" color="#FF0000"> <font color="#000000">^ ^</font> </font></b></pre>
<pre><b><font face="Arial, Helvetica, sans-serif" size="4" color="#FF0000"> </font></b></pre>
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