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<b><font face="Arial, Helvetica, sans-serif" size="4" color="#FF0000">10.2 AVL Trees</font><font face="Arial, Helvetica, sans-serif" size="4" color="#000000"> </font></b></pre>
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<pre><font color="#FF0033"><b><font size="4">(1+2+3+4+5)=15</font></b></font>
<font size="4"><b><font color="#33CCCC">(2+3+4) = 9</font>
<font color="#CC9900">(3+4+5+6) =18</font>
sum=42</b></font></pre>
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<pre align="left"><b><font face="Arial, Helvetica, sans-serif" size="4" color="#000000">The <font color="#0033CC">maximum number</font> of comparisons = 6
The <font color="#0033CC">average number</font> of comparisons = 42/12 = 3.5
<font color="#0033CC">balanced tree</font> <font color="#FF0000"> O( logn )</font>
<img src="image/text10-f.gif" width="326" height="115">
The<font color="#0033CC"> maximum number</font> of comparisons = 4
The<font color="#0033CC"> average number </font>of comparisons = 37/12 = 3.1
<img src="image/text10-g.gif" width="456" height="203">
The <font color="#0033CC">maximum number</font> of comparisons = 12
The <font color="#0033CC">average number</font> of comparisons = 6.5
</font></b></pre>
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