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<b><font face="Arial, Helvetica, sans-serif" size="4" color="#FF0000">AVL tree </font><font face="Arial, Helvetica, sans-serif" size="4" color="#000000"> --- Adelson-Velskii and Landis (1962 )
【<font color="#FF0000">definition</font>】 An empty binary tree is height balanced. If <i>T</i> is a
nonempty binary tree with <i>T<font size="2">L</font></i><font size="2"><i> </i></font> and <i>T<font size="2">R</font></i><font size="2"> </font>as its left and right subtrees,
then <i>T </i> is height balanced iff
(1) <i>T<font size="2">L</font></i><font size="2"><i> </i></font> and <i>T<font size="2">R</font></i> are height balanced and
(2) | <i>h<font size="2">L</font></i><font size="2"> </font>- <i>h <font size="2">R</font></i> | <= 1 where <i>h<font size="2">L</font></i><font size="2"></font> and <i>h <font size="2">R</font></i> are the heights of <i>T<font size="2">L</font></i><font size="2"><i> </i></font> and
<i>T<font size="2">R</font></i><font size="2"></font> , respectively.
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