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📄 ds9.3.1.htm

📁 这是清华大学所用的数据结构的电子版教材
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<p class="MsoNormal" style="margin-top: 0; margin-bottom: 0"><font size="5" color="#FFFFFF"><b>&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;    
else return (SeBST(T-&gt;rchild,key))</b></font></p>   
<p class="MsoNormal" style="margin-top: 0; margin-bottom: 0"><font size="5" color="#FFFFFF"><b>}</b></font></p>
<p class="MsoNormal" style="margin-top: 0; margin-bottom: 0"> </p>
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      <p class="MsoNormal"><b><span style="mso-bidi-font-size: 10.0pt"><font size="5" color="#FFFF00">二叉排序树插入操作和构造一棵二叉排序树</font><font size="5" color="#FFFFFF"><span lang="EN-US"><o:p>
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<p class="MsoNormal"><span style="mso-spacerun: yes" lang="EN-US"><font color="#FFFFFF"><b><font size="5">&nbsp;&nbsp;&nbsp;    
</font></b></font></span><font color="#FFFFFF"><b><font size="5"><span style="mso-ascii-font-family: Times New Roman; mso-hansi-font-family: Times New Roman">先讨论向二叉排序树中插入一个结点的过程:设待插入结点的关键码为</span><span lang="EN-US">key</span><span style="mso-ascii-font-family: Times New Roman; mso-hansi-font-family: Times New Roman">,为将其插入,先要在二叉排序树中进行查找,若查找成功,按二叉排序树定义,待插入结点已存在,不用插入;查找不成功时,则插入之。因此,新插入结点一定是作为叶子结点添加上去的。</span></font></b></font></p>
<p class="MsoNormal">&nbsp; <font size="5" color="#FFFFFF"><b><span style="mso-ascii-font-family: Times New Roman; mso-hansi-font-family: Times New Roman; mso-font-kerning: 0pt">构造一棵二叉排序树则是逐个插入结点的过程。</span><span lang="EN-US" style="mso-font-kerning:0pt"><o:p>   
</o:p>
</span></b></font></p>
<b><span style="mso-bidi-font-size: 10.0pt; mso-ascii-font-family: Times New Roman; mso-hansi-font-family: Times New Roman; mso-bidi-font-family: Times New Roman; mso-ansi-language: EN-US; mso-fareast-language: ZH-CN; mso-bidi-language: AR-SA"><font size="5" color="#FFFF00">【例</font></span><font size="5" color="#FFFF00"><span lang="EN-US" style="mso-bidi-font-size: 10.0pt; mso-fareast-font-family: 宋体; mso-ansi-language: EN-US; mso-fareast-language: ZH-CN; mso-bidi-language: AR-SA">9.3</span><span style="mso-bidi-font-size: 10.0pt; mso-ascii-font-family: Times New Roman; mso-hansi-font-family: Times New Roman; mso-bidi-font-family: Times New Roman; mso-ansi-language: EN-US; mso-fareast-language: ZH-CN; mso-bidi-language: AR-SA">】</span></font><font size="5" color="#FFFFFF"><span style="mso-bidi-font-size: 10.0pt; mso-ascii-font-family: Times New Roman; mso-hansi-font-family: Times New Roman; mso-bidi-font-family: Times New Roman; mso-ansi-language: EN-US; mso-fareast-language: ZH-CN; mso-bidi-language: AR-SA">记录的关键码序列为:</span><span lang="EN-US" style="mso-bidi-font-size: 10.0pt; mso-fareast-font-family: 宋体; mso-ansi-language: EN-US; mso-fareast-language: ZH-CN; mso-bidi-language: AR-SA">63</span><span style="mso-bidi-font-size: 10.0pt; mso-ascii-font-family: Times New Roman; mso-hansi-font-family: Times New Roman; mso-bidi-font-family: Times New Roman; mso-ansi-language: EN-US; mso-fareast-language: ZH-CN; mso-bidi-language: AR-SA">,</span><span lang="EN-US" style="mso-bidi-font-size: 10.0pt; mso-fareast-font-family: 宋体; mso-ansi-language: EN-US; mso-fareast-language: ZH-CN; mso-bidi-language: AR-SA">90</span><span style="mso-bidi-font-size: 10.0pt; mso-ascii-font-family: Times New Roman; mso-hansi-font-family: Times New Roman; mso-bidi-font-family: Times New Roman; mso-ansi-language: EN-US; mso-fareast-language: ZH-CN; mso-bidi-language: AR-SA">,</span><span lang="EN-US" style="mso-bidi-font-size: 10.0pt; mso-fareast-font-family: 宋体; mso-ansi-language: EN-US; mso-fareast-language: ZH-CN; mso-bidi-language: AR-SA">70</span><span style="mso-bidi-font-size: 10.0pt; mso-ascii-font-family: Times New Roman; mso-hansi-font-family: Times New Roman; mso-bidi-font-family: Times New Roman; mso-ansi-language: EN-US; mso-fareast-language: ZH-CN; mso-bidi-language: AR-SA">,</span><span lang="EN-US" style="mso-bidi-font-size: 10.0pt; mso-fareast-font-family: 宋体; mso-ansi-language: EN-US; mso-fareast-language: ZH-CN; mso-bidi-language: AR-SA">55</span><span style="mso-bidi-font-size: 10.0pt; mso-ascii-font-family: Times New Roman; mso-hansi-font-family: Times New Roman; mso-bidi-font-family: Times New Roman; mso-ansi-language: EN-US; mso-fareast-language: ZH-CN; mso-bidi-language: AR-SA">,</span><span lang="EN-US" style="mso-bidi-font-size: 10.0pt; mso-fareast-font-family: 宋体; mso-ansi-language: EN-US; mso-fareast-language: ZH-CN; mso-bidi-language: AR-SA">67</span><span style="mso-bidi-font-size: 10.0pt; mso-ascii-font-family: Times New Roman; mso-hansi-font-family: Times New Roman; mso-bidi-font-family: Times New Roman; mso-ansi-language: EN-US; mso-fareast-language: ZH-CN; mso-bidi-language: AR-SA">,</span><span lang="EN-US" style="mso-bidi-font-size: 10.0pt; mso-fareast-font-family: 宋体; mso-ansi-language: EN-US; mso-fareast-language: ZH-CN; mso-bidi-language: AR-SA">42</span><span style="mso-bidi-font-size: 10.0pt; mso-ascii-font-family: Times New Roman; mso-hansi-font-family: Times New Roman; mso-bidi-font-family: Times New Roman; mso-ansi-language: EN-US; mso-fareast-language: ZH-CN; mso-bidi-language: AR-SA">,</span><span lang="EN-US" style="mso-bidi-font-size: 10.0pt; mso-fareast-font-family: 宋体; mso-ansi-language: EN-US; mso-fareast-language: ZH-CN; mso-bidi-language: AR-SA">98</span><span style="mso-bidi-font-size: 10.0pt; mso-ascii-font-family: Times New Roman; mso-hansi-font-family: Times New Roman; mso-bidi-font-family: Times New Roman; mso-ansi-language: EN-US; mso-fareast-language: ZH-CN; mso-bidi-language: AR-SA">,</span><span lang="EN-US" style="mso-bidi-font-size: 10.0pt; mso-fareast-font-family: 宋体; mso-ansi-language: EN-US; mso-fareast-language: ZH-CN; mso-bidi-language: AR-SA">83</span><span style="mso-bidi-font-size: 10.0pt; mso-ascii-font-family: Times New Roman; mso-hansi-font-family: Times New Roman; mso-bidi-font-family: Times New Roman; mso-ansi-language: EN-US; mso-fareast-language: ZH-CN; mso-bidi-language: AR-SA">,</span><span lang="EN-US" style="mso-bidi-font-size: 10.0pt; mso-fareast-font-family: 宋体; mso-ansi-language: EN-US; mso-fareast-language: ZH-CN; mso-bidi-language: AR-SA">10</span><span style="mso-bidi-font-size: 10.0pt; mso-ascii-font-family: Times New Roman; mso-hansi-font-family: Times New Roman; mso-bidi-font-family: Times New Roman; mso-ansi-language: EN-US; mso-fareast-language: ZH-CN; mso-bidi-language: AR-SA">,</span><span lang="EN-US" style="mso-bidi-font-size: 10.0pt; mso-fareast-font-family: 宋体; mso-ansi-language: EN-US; mso-fareast-language: ZH-CN; mso-bidi-language: AR-SA">45</span><span style="mso-bidi-font-size: 10.0pt; mso-ascii-font-family: Times New Roman; mso-hansi-font-family: Times New Roman; mso-bidi-font-family: Times New Roman; mso-ansi-language: EN-US; mso-fareast-language: ZH-CN; mso-bidi-language: AR-SA">,</span><span lang="EN-US" style="mso-bidi-font-size: 10.0pt; mso-fareast-font-family: 宋体; mso-ansi-language: EN-US; mso-fareast-language: ZH-CN; mso-bidi-language: AR-SA">58</span><span style="mso-bidi-font-size: 10.0pt; mso-ascii-font-family: Times New Roman; mso-hansi-font-family: Times New Roman; mso-bidi-font-family: Times New Roman; mso-ansi-language: EN-US; mso-fareast-language: ZH-CN; mso-bidi-language: AR-SA">,则构造一棵二叉排序树的过程如下:</span></font></b>
<p align="center"><font size="5" color="#FFFFFF"><b><span style="mso-bidi-font-size: 10.0pt; mso-ascii-font-family: Times New Roman; mso-hansi-font-family: Times New Roman; mso-bidi-font-family: Times New Roman; mso-ansi-language: EN-US; mso-fareast-language: ZH-CN; mso-bidi-language: AR-SA"><img border="0" src="ds9.3.2.gif" width="496" height="248"></span></b></font></p>
<p class="MsoNormal"><b><span style="font-family:宋体;mso-ascii-font-family:&quot;Times New Roman&quot;;
mso-hansi-font-family:&quot;Times New Roman&quot;"><font size="5" color="#FFFF00">【算法</font></span><font size="5" color="#FFFF00"><span lang="EN-US">9.4'</span><span style="font-family:宋体;mso-ascii-font-family:&quot;Times New Roman&quot;;mso-hansi-font-family:
&quot;Times New Roman&quot;">】</span></font></b></p>
<p class="MsoNormal"><b><span style="font-family: 宋体; mso-ascii-font-family: Times New Roman; mso-hansi-font-family: Times New Roman"><font color="#FFFFFF" size="4">Status    
SeBST</font><font size="5" color="#FFFFFF">(</font><font color="#FFFFFF" size="4">BiTree 
T,KeyType key,BiTree f, BiTree &amp;p</font><font size="5" color="#FFFFFF">)</font></span></b></p>
<p style="margin-top: 0; margin-bottom: 0"><span lang="EN-US"><font size="5" color="#FFFFFF"><b>{</b></font></span></p>
<p class="MsoNormal"><b><span style="mso-bidi-font-size: 10.0pt; letter-spacing: -.6pt"><font color="#FFFFFF" size="4"><span lang="EN-US">/*</span><span style="mso-bidi-font-size: 10.0pt; font-family: 宋体; mso-ascii-font-family: Times New Roman; mso-hansi-font-family: Times New Roman; letter-spacing: -.6pt">在二叉排序树</span><span lang="EN-US" style="mso-bidi-font-size: 10.0pt; letter-spacing: -.6pt">t</span><span style="mso-bidi-font-size: 10.0pt; font-family: 宋体; mso-ascii-font-family: Times New Roman; mso-hansi-font-family: Times New Roman; letter-spacing: -.6pt">上查找关键码为</span><span style="mso-bidi-font-size: 10.0pt; letter-spacing: -.6pt" lang="EN-US">key</span><span style="mso-bidi-font-size: 10.0pt; font-family: 宋体; mso-ascii-font-family: Times New Roman; mso-hansi-font-family: Times New Roman; letter-spacing: -.6pt">的元素,若找到,返回</span><span lang="EN-US">TRUE</span><span style="mso-bidi-font-size: 10.0pt; font-family: 宋体; mso-ascii-font-family: Times New Roman; mso-hansi-font-family: Times New Roman; letter-spacing: -.6pt">,且</span><span style="mso-bidi-font-size: 10.0pt; letter-spacing: -.6pt" lang="EN-US">p</span><span style="mso-bidi-font-size: 10.0pt; font-family: 宋体; mso-ascii-font-family: Times New Roman; mso-hansi-font-family: Times New Roman; letter-spacing: -.6pt">指向该结点,</span><span lang="EN-US">f</span><span style="mso-bidi-font-size: 10.0pt; font-family: 宋体; mso-ascii-font-family: Times New Roman; mso-hansi-font-family: Times New Roman; letter-spacing: -.6pt">指向其父结点;</span><span style="mso-bidi-font-size: 10.0pt; font-family: 宋体; mso-ascii-font-family: Times New Roman; mso-hansi-font-family: Times New Roman; mso-bidi-font-family: Times New Roman; letter-spacing: -.6pt; mso-font-kerning: 1.0pt; mso-ansi-language: EN-US; mso-fareast-language: ZH-CN; mso-bidi-language: AR-SA">否则,返回</span><span style="mso-bidi-font-size: 10.0pt; font-family: Times New Roman; letter-spacing: -.6pt; mso-font-kerning: 1.0pt; mso-ansi-language: EN-US; mso-fareast-language: ZH-CN; mso-bidi-language: AR-SA; mso-fareast-font-family: 宋体" lang="EN-US">FALSE</span><span style="mso-bidi-font-size: 10.0pt; font-family: 宋体; mso-ascii-font-family: Times New Roman; mso-hansi-font-family: Times New Roman; mso-bidi-font-family: Times New Roman; letter-spacing: -.6pt; mso-font-kerning: 1.0pt; mso-ansi-language: EN-US; mso-fareast-language: ZH-CN; mso-bidi-language: AR-SA">,且</span><span lang="EN-US" style="mso-bidi-font-size: 10.0pt; font-family: Times New Roman; mso-fareast-font-family: 宋体; letter-spacing: -.6pt; mso-font-kerning: 1.0pt; mso-ansi-language: EN-US; mso-fareast-language: ZH-CN; mso-bidi-language: AR-SA">p</span><span style="mso-bidi-font-size: 10.0pt; font-family: 宋体; mso-ascii-font-family: Times New Roman; mso-hansi-font-family: Times New Roman; mso-bidi-font-family: Times New Roman; letter-spacing: -.6pt; mso-font-kerning: 1.0pt; mso-ansi-language: EN-US; mso-fareast-language: ZH-CN; mso-bidi-language: AR-SA">指向查找失败的最后一个结点</span><span style="mso-bidi-font-size: 10.0pt; letter-spacing: -.6pt" lang="EN-US"> 
</span><span lang="EN-US" style="mso-bidi-font-size: 10.0pt; font-family: Times New Roman; mso-fareast-font-family: 宋体; letter-spacing: -.6pt; mso-font-kerning: 1.0pt; mso-ansi-language: EN-US; mso-fareast-language: ZH-CN; mso-bidi-language: AR-SA">*/</span></font></span></b></p>
<p class="MsoNormal" style="margin-top: 0; margin-bottom: 0">&nbsp;<b><font color="#FFFFFF" size="4">if(!T)    
{p=f;return FALSE;}</font></b></p> 
<p style="margin-top: 0; margin-bottom: 0"><b><font color="#FFFFFF" size="4">&nbsp;else    
if(key==T-&gt;data.key){p=T;return TRUE;}</font></b></p>   
<p style="margin-top: 0; margin-bottom: 0"><b><font color="#FFFFFF" size="4">&nbsp;else    
if(key&lt;T-&gt;data.key) return SeBST(T-&gt;lchild,key,T,p);</font></b></p>   
<p style="margin-top: 0; margin-bottom: 0"><b><font color="#FFFFFF" size="4">&nbsp;else    
return SeBST(T-&gt;rchild,key,T,p);</font></b></p>   
<p style="margin-top: 0; margin-bottom: 0"><span lang="EN-US"><font size="5" color="#FFFFFF"><b>}</b></font></span></p>
<p class="MsoNormal"><b><span style="font-family:宋体;mso-ascii-font-family:&quot;Times New Roman&quot;;
mso-hansi-font-family:&quot;Times New Roman&quot;"><font size="5" color="#FFFF00">【算法</font></span><font size="5" color="#FFFF00"><span lang="EN-US">9.5</span><span style="font-family:宋体;mso-ascii-font-family:&quot;Times New Roman&quot;;mso-hansi-font-family:
&quot;Times New Roman&quot;">】</span></font></b></p>
<p class="MsoNormal" style="margin-top: 0; margin-bottom: 0"><b><span style="font-family: 宋体; mso-ascii-font-family: Times New Roman; mso-hansi-font-family: Times New Roman"><font size="5" color="#FFFFFF">Status    
InBST(BiTree &amp;T, ElemType e)</font></span></b></p>   
<p class="MsoNormal" style="margin-top: 0; margin-bottom: 0"><b><span style="font-family: 宋体; mso-ascii-font-family: Times New Roman; mso-hansi-font-family: Times New Roman"><font size="5" color="#FFFFFF">{</font></span></b></p>
<p class="MsoNormal" style="margin-top: 0; margin-bottom: 0"><b><span style="font-family: 宋体; mso-ascii-font-family: Times New Roman; mso-hansi-font-family: Times New Roman"><font size="5" color="#FFFFFF">if(!SeBST(T,e.key,NULL,p))</font></span></b></p>
<p class="MsoNormal" style="margin-top: 0; margin-bottom: 0"><b><font size="5" color="#FFFFFF"><span style="font-family: 宋体; mso-ascii-font-family: Times New Roman; mso-hansi-font-family: Times New Roman">{</span></font></b></p>
<p class="MsoNormal" style="margin-top: 0; margin-bottom: 0"><b><font size="5" color="#FFFFFF"><span style="font-family: 宋体; mso-ascii-font-family: Times New Roman; mso-hansi-font-family: Times New Roman">&nbsp;s=(BiTree)malloc(sizeof(BiTNode));</span></font></b></p>
<p class="MsoNormal" style="margin-top: 0; margin-bottom: 0"><b><font size="5" color="#FFFFFF"><span style="font-family: 宋体; mso-ascii-font-family: Times New Roman; mso-hansi-font-family: Times New Roman">&nbsp;s-&gt;data=e;</span></font></b></p>
<p class="MsoNormal" style="margin-top: 0; margin-bottom: 0"><b><font size="5" color="#FFFFFF"><span style="font-family: 宋体; mso-ascii-font-family: Times New Roman; mso-hansi-font-family: Times New Roman">&nbsp;s-&gt;lchild=s-&gt;rchild=NULL;</span></font></b></p>
<p class="MsoNormal" style="margin-top: 0; margin-bottom: 0"><b><font size="5" color="#FFFFFF"><span style="font-family: 宋体; mso-ascii-font-family: Times New Roman; mso-hansi-font-family: Times New Roman">&nbsp;if(!p)    
T=s;</span></font></b></p>
<p class="MsoNormal" style="margin-top: 0; margin-bottom: 0"><b><font size="5" color="#FFFFFF"><span style="font-family: 宋体; mso-ascii-font-family: Times New Roman; mso-hansi-font-family: Times New Roman">&nbsp;else    
if(e.key&lt;p-&gt;data.key) p-&gt;lchild=s;</span></font></b></p>   
<p class="MsoNormal" style="margin-top: 0; margin-bottom: 0"><b><font size="5" color="#FFFFFF"><span style="font-family: 宋体; mso-ascii-font-family: Times New Roman; mso-hansi-font-family: Times New Roman">&nbsp;else    
p-&gt;rchild=s;</span></font></b></p>
<p class="MsoNormal" style="margin-top: 0; margin-bottom: 0"><b><font size="5" color="#FFFFFF"><span style="font-family: 宋体; mso-ascii-font-family: Times New Roman; mso-hansi-font-family: Times New Roman">&nbsp;return    
TRUE;</span></font></b></p>
<p class="MsoNormal" style="margin-top: 0; margin-bottom: 0"><b><font size="5" color="#FFFFFF"><span style="font-family: 宋体; mso-ascii-font-family: Times New Roman; mso-hansi-font-family: Times New Roman">}</span></font></b></p>
<p class="MsoNormal" style="margin-top: 0; margin-bottom: 0"><b><font size="5" color="#FFFFFF"><span style="font-family: 宋体; mso-ascii-font-family: Times New Roman; mso-hansi-font-family: Times New Roman">else 
return FALSE;</span></font></b></p>
<p class="MsoNormal" style="margin-top: 0; margin-bottom: 0"><b><span style="font-family: 宋体; mso-ascii-font-family: Times New Roman; mso-hansi-font-family: Times New Roman"><font size="5" color="#FFFFFF">}</font></span></b></p>
<p class="MsoNormal" style="margin-top: 0; margin-bottom: 0"> </p>
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      <p class="MsoNormal"><b><span style="mso-bidi-font-size: 10.0pt"><font size="5" color="#FFFF00">二叉排序树删除操作<span lang="EN-US"><o:p>
      </o:p>
      </span></font></span></b><!--mstheme--></font><!--msthemelist--></td>
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<p class="MsoNormal"><span style="mso-spacerun: yes" lang="EN-US"><font size="5"><b><font color="#FFFFFF">&nbsp;&nbsp;&nbsp;    
</font></b></font></span><font size="5"><b><font color="#FFFFFF"><span style="mso-ascii-font-family: Times New Roman; mso-hansi-font-family: Times New Roman">从二叉排序树中删除一个结点之后,使其仍能保持二叉排序树的特性即可。</span></font></b></font></p>
<p class="MsoNormal"><span style="mso-spacerun: yes" lang="EN-US"><font size="5"><b><font color="#FFFFFF">&nbsp;&nbsp;&nbsp;    
</font></b></font></span><font size="5"><b><font color="#FFFFFF"><span style="mso-ascii-font-family: Times New Roman; mso-hansi-font-family: Times New Roman">设待删结点为</span><span lang="EN-US">*p</span><span style="mso-ascii-font-family: Times New Roman; mso-hansi-font-family: Times New Roman">(</span><span lang="EN-US">p</span><span style="mso-ascii-font-family: Times New Roman; mso-hansi-font-family: Times New Roman">为指向待删结点的指针),其双亲结点为</span><span lang="EN-US">*f</span><span style="mso-ascii-font-family: Times New Roman; mso-hansi-font-family: Times New Roman">,以下分三种情况进行讨论。</span></font></b></font></p>
<blockquote>
  <p class="MsoNormal" style="margin-bottom: 10"><font size="5" color="#FFFFFF"><span style="mso-bidi-font-size: 10.0pt; mso-font-kerning: 1.0pt; mso-ansi-language: EN-US; mso-fareast-language: ZH-CN; mso-bidi-language: AR-SA"><b><span lang="EN-US" style="mso-bidi-font-size: 10.0pt; font-family: Times New Roman; mso-fareast-font-family: 宋体; mso-font-kerning: 1.0pt; mso-ansi-language: EN-US; mso-fareast-language: ZH-CN; mso-bidi-language: AR-SA">1.*p</span><span style="mso-bidi-font-size: 10.0pt; font-family: 宋体; mso-ascii-font-family: Times New Roman; mso-hansi-font-family: Times New Roman; mso-bidi-font-family: Times New Roman; mso-font-kerning: 1.0pt; mso-ansi-language: EN-US; mso-fareast-language: ZH-CN; mso-bidi-language: AR-SA">结点为叶结点,由于删去叶结点后不影响整棵树的特性,所以,只需将被删结点的双亲结点相应指针域改为空指针。如下图所示:</span></b></span></font></p>
</blockquote>
<p class="MsoNormal" style="margin-bottom: 10" align="center"><font size="5" color="#FFFFFF"><span style="mso-bidi-font-size: 10.0pt; mso-font-kerning: 1.0pt; mso-ansi-language: EN-US; mso-fareast-language: ZH-CN; mso-bidi-language: AR-SA"><b><span style="mso-bidi-font-size: 10.0pt; font-family: 宋体; mso-ascii-font-family: Times New Roman; mso-hansi-font-family: Times New Roman; mso-bidi-font-family: Times New Roman; mso-font-kerning: 1.0pt; mso-ansi-language: EN-US; mso-fareast-language: ZH-CN; mso-bidi-language: AR-SA"><img border="0" src="ds9.3.3.gif" align="middle" width="170" height="92"></span></b></span></font></p>
<blockquote>
  <p class="MsoNormal" style="margin-bottom: 10"><b><font size="5" color="#FFFFFF"><span style="mso-bidi-font-size: 10.0pt; mso-font-kerning: 1.0pt; mso-ansi-language: EN-US; mso-fareast-language: ZH-CN; mso-bidi-language: AR-SA"><span lang="EN-US" style="mso-bidi-font-size: 10.0pt; font-family: Times New Roman; mso-fareast-font-family: 宋体; mso-font-kerning: 1.0pt; mso-ansi-language: EN-US; mso-fareast-language: ZH-CN; mso-bidi-language: AR-SA">2.*p</span><span style="mso-bidi-font-size: 10.0pt; font-family: 宋体; mso-ascii-font-family: Times New Roman; mso-hansi-font-family: Times New Roman; mso-bidi-font-family: Times New Roman; mso-font-kerning: 1.0pt; mso-ansi-language: EN-US; mso-fareast-language: ZH-CN; mso-bidi-language: AR-SA">结点只有右子树</span><span lang="EN-US" style="mso-bidi-font-size: 10.0pt; font-family: Times New Roman; mso-fareast-font-family: 宋体; mso-font-kerning: 1.0pt; mso-ansi-language: EN-US; mso-fareast-language: ZH-CN; mso-bidi-language: AR-SA">p<sub>r</sub></span><sub><span style="mso-bidi-font-size: 10.0pt; font-family: 宋体; mso-ascii-font-family: Times New Roman; mso-hansi-font-family: Times New Roman; mso-bidi-font-family: Times New Roman; mso-font-kerning: 1.0pt; mso-ansi-language: EN-US; mso-fareast-language: ZH-CN; mso-bidi-language: AR-SA"> </span></sub><span style="mso-bidi-font-size: 10.0pt; font-family: 宋体; mso-ascii-font-family: Times New Roman; mso-hansi-font-family: Times New Roman; mso-bidi-font-family: Times New Roman; mso-font-kerning: 1.0pt; mso-ansi-language: EN-US; mso-fareast-language: ZH-CN; mso-bidi-language: AR-SA">或只有左子树<span lang="EN-US" style="mso-bidi-font-size: 10.0pt; font-family: Times New Roman; mso-fareast-font-family: 宋体; mso-font-kerning: 1.0pt; mso-ansi-language: EN-US; mso-fareast-language: ZH-CN; mso-bidi-language: AR-SA">p<sub>l</sub></span>,此时,只需将<span lang="EN-US" style="mso-bidi-font-size: 10.0pt; font-family: Times New Roman; mso-fareast-font-family: 宋体; mso-font-kerning: 1.0pt; mso-ansi-language: EN-US; mso-fareast-language: ZH-CN; mso-bidi-language: AR-SA">p<sub>r</sub></span>或<span lang="EN-US" style="mso-bidi-font-size: 10.0pt; font-family: Times New Roman; mso-fareast-font-family: 宋体; mso-font-kerning: 1.0pt; mso-ansi-language: EN-US; mso-fareast-language: ZH-CN; mso-bidi-language: AR-SA">p<sub>l</sub></span>替换<span lang="EN-US" style="mso-bidi-font-size: 10.0pt; font-family: Times New Roman; mso-fareast-font-family: 宋体; mso-font-kerning: 1.0pt; mso-ansi-language: EN-US; mso-fareast-language: ZH-CN; mso-bidi-language: AR-SA">*f</span>结点的<span lang="EN-US" style="mso-bidi-font-size: 10.0pt; font-family: Times New Roman; mso-fareast-font-family: 宋体; mso-font-kerning: 1.0pt; mso-ansi-language: EN-US; mso-fareast-language: ZH-CN; mso-bidi-language: AR-SA">*p</span>子树即可。</span></span></font></b><font size="5" color="#FFFFFF"><span style="mso-bidi-font-size: 10.0pt; mso-font-kerning: 1.0pt; mso-ansi-language: EN-US; mso-fareast-language: ZH-CN; mso-bidi-language: AR-SA"><b><span style="mso-bidi-font-size: 10.0pt; font-family: 宋体; mso-ascii-font-family: Times New Roman; mso-hansi-font-family: Times New Roman; mso-bidi-font-family: Times New Roman; mso-font-kerning: 1.0pt; mso-ansi-language: EN-US; mso-fareast-language: ZH-CN; mso-bidi-language: AR-SA">如下图所示:</span></b></span></font></p>
</blockquote>

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