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📄 ds6.3.3.2.htm

📁 这是清华大学所用的数据结构的电子版教材
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</font></b></font></span><font color="#FFFFFF"><b><font size="5">(*head)-&gt;rchild=pre;</font></b></font></span></p>
<p class="MsoNormal" style="margin-left: 21.0pt; margin-top: 0; margin-bottom: 0"><span lang="EN-US"><span style="mso-spacerun: yes"><font color="#FFFFFF"><b><font size="5">&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp; 
</font></b></font></span><font color="#FFFFFF"><b><font size="5">}</font></b></font></span></p>
<p class="MsoNormal" style="margin-left: 21.0pt; margin-top: 0; margin-bottom: 0"><span lang="EN-US"><span style="mso-spacerun: yes"><font color="#FFFFFF"><b><font size="5">&nbsp; 
</font></b></font></span><font color="#FFFFFF"><b><font size="5">return 1;</font></b></font></span></p>
<p class="MsoNormal" style="margin-left: 21.0pt; margin-top: 0; margin-bottom: 0"><span lang="EN-US"><font size="5" color="#FFFFFF"><b>}</b></font></span></p>
<p class="MsoNormal" style="margin-left: 21.0pt; margin-top: 0; margin-bottom: 0"> </p>
<p class="MsoNormal" style="margin-left: 21.0pt; margin-top: 0; margin-bottom: 0"><span lang="EN-US"><font size="5" color="#FFFFFF"><b>void 
InTreading(BiThrTree p)</b></font></span></p>
<p class="MsoNormal" style="margin-left: 21.0pt; margin-top: 0; margin-bottom: 0"><font size="5" color="#FFFFFF"><b><span lang="EN-US">{</span><span lang="EN-US" style="mso-bidi-font-size: 10.0pt">/*</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">中序遍历进行中序线索化</span><span lang="EN-US" style="mso-bidi-font-size: 10.0pt">*/<o:p>
</o:p>
</span></b></font></p>
<p class="MsoNormal" style="margin-left: 21.0pt; margin-top: 0; margin-bottom: 0"><span lang="EN-US"><span style="mso-spacerun: yes"><font color="#FFFFFF"><b><font size="5">&nbsp; 
</font></b></font></span><font color="#FFFFFF"><b><font size="5">if (p)</font></b></font></span></p>
<p class="MsoNormal" style="margin-left: 21.0pt; margin-top: 0; margin-bottom: 0"><span lang="EN-US"><span style="mso-spacerun: yes"><font color="#FFFFFF"><b><font size="5">&nbsp;&nbsp; 
</font></b></font></span><font color="#FFFFFF"><b><font size="5">{ InThreading(p-&gt;lchild);<span style="mso-spacerun: yes">&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp; 
</span></font></b></font></span><font color="#FFFFFF"><b><font size="5"><span lang="EN-US" style="mso-bidi-font-size: 10.0pt">/*</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">左子树线索化</span><span lang="EN-US" style="mso-bidi-font-size: 10.0pt">*/</span></font></b></font></p>
<p class="MsoNormal" style="margin-left: 21.0pt; margin-top: 0; margin-bottom: 0"><span lang="EN-US"><span style="mso-spacerun: yes"><font color="#FFFFFF"><b><font size="5">&nbsp;&nbsp;&nbsp;&nbsp; 
</font></b></font></span><font color="#FFFFFF"><b><font size="5">if (!p-&gt;lchild)<span style="mso-spacerun: yes">&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp; 
</span></font></b></font></span><font color="#FFFFFF"><b><font size="5"><span lang="EN-US" style="mso-bidi-font-size: 10.0pt">/*</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">前驱线索</span><span lang="EN-US" style="mso-bidi-font-size: 10.0pt">*/</span></font></b></font></p>
<p class="MsoNormal" style="margin-left: 21.0pt; margin-top: 0; margin-bottom: 0"><span lang="EN-US"><span style="mso-spacerun: yes"><font color="#FFFFFF"><b><font size="5">&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp; 
</font></b></font></span><font color="#FFFFFF"><b><font size="5">{ p-&gt;ltag=1;<span style="mso-spacerun: yes">&nbsp; 
</span>p-&gt;lchild=pre;</font></b></font><font color="#FFFFFF"><b><font size="5">}</font></b></font></span></p>
<p class="MsoNormal" style="margin-left: 21.0pt; margin-top: 0; margin-bottom: 0"><span lang="EN-US"><span style="mso-spacerun: yes"><font color="#FFFFFF"><b><font size="5">&nbsp;&nbsp;&nbsp;&nbsp; 
</font></b></font></span><font color="#FFFFFF"><b><font size="5">if (!pre-&gt;rchild)<span style="mso-spacerun: yes">&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp; 
</span></font></b></font></span><font color="#FFFFFF"><b><font size="5"><span lang="EN-US" style="mso-bidi-font-size: 10.0pt">/*</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">后继线索</span><span lang="EN-US" style="mso-bidi-font-size: 10.0pt">*/</span></font></b></font></p>
<p class="MsoNormal" style="margin-left: 21.0pt; margin-top: 0; margin-bottom: 0"><span lang="EN-US"><span style="mso-spacerun: yes"><font color="#FFFFFF"><b><font size="5">&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp; 
</font></b></font></span><font color="#FFFFFF"><b><font size="5">{ pre-&gt;rtag=1;<span style="mso-spacerun: yes">&nbsp;&nbsp; 
</span>pre-&gt;rchild=p;</font></b></font><span style="mso-spacerun: yes"><font color="#FFFFFF"><b><font size="5"> 
</font></b></font></span><font color="#FFFFFF"><b><font size="5">}</font></b></font></span></p>
<p class="MsoNormal" style="margin-left: 21.0pt; margin-top: 0; margin-bottom: 0"><span lang="EN-US"><span style="mso-spacerun: yes"><font color="#FFFFFF"><b><font size="5">&nbsp;&nbsp;&nbsp;&nbsp; 
</font></b></font></span><font color="#FFFFFF"><b><font size="5">pre=p;</font></b></font></span></p>
<p class="MsoNormal" style="margin-left: 21.0pt; margin-top: 0; margin-bottom: 0"><span lang="EN-US"><span style="mso-spacerun: yes"><font color="#FFFFFF"><b><font size="5">&nbsp;&nbsp;&nbsp;&nbsp; 
</font></b></font></span><font color="#FFFFFF"><b><font size="5">InThreading(p-&gt;rchild);<span style="mso-spacerun: yes">&nbsp;&nbsp;&nbsp;&nbsp;&nbsp; 
</span></font></b></font></span><font color="#FFFFFF"><b><font size="5"><span lang="EN-US" style="mso-bidi-font-size: 10.0pt">/*</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">右子树线索化</span><span lang="EN-US" style="mso-bidi-font-size: 10.0pt">*/</span></font></b></font><span lang="EN-US"><font size="5" color="#FFFFFF"><b>&nbsp;<o:p>
</o:p>
</b></font></span></p>
<p class="MsoNormal" style="margin-left: 21.0pt; margin-top: 0; margin-bottom: 0"><span lang="EN-US"><font size="5" color="#FFFFFF"><b><span style="mso-spacerun: yes">&nbsp;&nbsp; 
</span>}</b></font></span></p>
<p class="MsoNormal" style="margin-left: 21.0pt; margin-top: 0; margin-bottom: 0"><span lang="EN-US"><font size="5" color="#FFFFFF"><b>}</b></font></span></p>
<!--mstheme--></font>
<h5><!--mstheme--><font face="宋体" color="#6666FF"><b><span lang="EN-US" style="mso-bidi-font-size: 10.0pt; mso-fareast-font-family: 黑体"><font size="5" color="#FFFF00">2</font></span><font size="5" color="#FFFF00"><span style="mso-bidi-font-size: 10.0pt; font-family: 黑体; mso-ascii-font-family: Times New Roman">.在中序线索二叉树上查找任意结点的中序前驱结点</span><span lang="EN-US" style="mso-bidi-font-size: 10.0pt; mso-fareast-font-family: 黑体"><o:p>
</o:p>
</span></font></b><!--mstheme--></font></h5>
<!--mstheme--><font face="宋体">
<p class="MsoNormal" style="margin-left:21.0pt"><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="#FFFFFF"><b>&nbsp; 
对于中序线索二叉树上的任一结点,寻找其中序的前驱结点,有以下两种情况:</b></font></span></p>
<p class="MsoNormal" style="margin-left:21.0pt"><font size="5" color="#FFFFFF"><b><span lang="EN-US" style="font-family:宋体;mso-ascii-font-family:&quot;Times New Roman&quot;;mso-hansi-font-family:
&quot;Times New Roman&quot;">(1)</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;">如果该结点的左标志为</span><span lang="EN-US">1</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;">,那么其左指针域所指向的结点便是它的前驱结点;</span></b></font></p>
<p class="MsoNormal" style="text-indent: 0"><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="font-family:宋体;mso-ascii-font-family:&quot;Times New Roman&quot;;mso-hansi-font-family:
&quot;Times New Roman&quot;">(</span><span lang="EN-US">2</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;">)如果该结点的左标志为</span><span lang="EN-US">0</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;">,表明该结点有左孩子,根据中序遍历的定义,它的前驱结点是以该结点的左孩子为根结点的子树的最右结点,即沿着其左子树的右指针链向下查找,当某结点的右标志为</span><span lang="EN-US">1</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;">时,它就是所要找的前驱结点。</span></font></b></font></p>
<p class="MsoNormal" style="margin-left:21.0pt"><font size="5" color="#FFFFFF"><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;">&nbsp; 
在中序线索二叉树上寻找结点</span><span lang="EN-US">p</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;">的中序前驱结点的算法如下:</span></b></font></p>
<p class="MsoNormal" style="margin-left: 21.0pt; margin-top: 0; margin-bottom: 0"><span lang="EN-US"><font color="#FFFFFF"><b><font size="5">BiThrTree 
InPreNode</font></b></font></span><font color="#FFFFFF"><b><font size="5"><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><span lang="EN-US">BiThrTree 
p</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></font></p>
<p class="MsoNormal" style="margin-left: 21.0pt; margin-top: 0; margin-bottom: 0"><span lang="EN-US"><font color="#FFFFFF"><b><font size="5">{</font></b></font></span><font color="#FFFFFF"><b><font size="5"><span lang="EN-US" style="mso-bidi-font-size: 10.0pt">/*</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">在中序线索二叉树上寻找结点</span><span lang="EN-US" style="mso-bidi-font-size: 10.0pt">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">的中序前驱结点</span><span lang="EN-US" style="mso-bidi-font-size: 10.0pt">*/<o:p>
</o:p>
</span></font></b></font></p>
<p class="MsoNormal" style="margin-left: 21.0pt; margin-top: 0; margin-bottom: 0"><span lang="EN-US"><span style="mso-spacerun: yes"><font color="#FFFFFF"><b><font size="5">&nbsp; 
</font></b></font></span><font color="#FFFFFF"><b><font size="5">BiThrTree pre;</font></b></font></span></p>
<p class="MsoNormal" style="margin-left: 21.0pt; margin-top: 0; margin-bottom: 0"><span lang="EN-US"><span style="mso-spacerun: yes"><font color="#FFFFFF"><b><font size="5">&nbsp; 
</font></b></font></span><font color="#FFFFFF"><b><font size="5">pre=p-&gt;lchild;</font></b></font></span></p>
<p class="MsoNormal" style="margin-left: 21.0pt; margin-top: 0; margin-bottom: 0"><span lang="EN-US"><span style="mso-spacerun: yes"><font color="#FFFFFF"><b><font size="5">&nbsp; 
</font></b></font></span><font color="#FFFFFF"><b><font size="5">if (p-&gt;ltag!=1)</font></b></font></span></p>
<p class="MsoNormal" style="text-indent: 21.0pt; margin-left: 21.0pt; margin-top: 0; margin-bottom: 0"><span lang="EN-US"><font size="5" color="#FFFFFF"><b>while 
(pre-&gt;rtag==0) pre=pre-&gt;rchild;</b></font></span></p>
<p class="MsoNormal" style="margin-top: 0; margin-bottom: 0"><span lang="EN-US"><span style="mso-spacerun: yes"><font color="#FFFFFF"><b><font size="5">&nbsp;&nbsp;&nbsp;&nbsp;&nbsp; 
</font></b></font></span><font color="#FFFFFF"><b><font size="5">return(pre);</font></b></font></span></p>
<p class="MsoNormal" style="margin-left: 21.0pt; margin-top: 0; margin-bottom: 0"><span lang="EN-US"><font size="5" color="#FFFFFF"><b>}</b></font></span></p>
<!--mstheme--></font>
<h5><!--mstheme--><font face="宋体" color="#6666FF"><b><span lang="EN-US" style="mso-bidi-font-size: 10.0pt; mso-fareast-font-family: 黑体"><font size="5" color="#FFFF00">3</font></span><font size="5" color="#FFFF00"><span style="mso-bidi-font-size: 10.0pt; font-family: 黑体; mso-ascii-font-family: Times New Roman">.在中序线索二叉树上查找任意结点的中序后继结点</span><span lang="EN-US" style="mso-bidi-font-size: 10.0pt; mso-fareast-font-family: 黑体"><o:p>
</o:p>
</span></font></b><!--mstheme--></font></h5>
<!--mstheme--><font face="宋体">
<p class="MsoNormal" style="margin-left:21.0pt"><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="#FFFFFF"><b>对于中序线索二叉树上的任一结点,寻找其中序的后继结点,有以下两种情况:</b></font></span></p>
<p class="MsoNormal" style="margin-left:47.25pt;text-indent:-26.25pt;mso-list:
l40 level1 lfo37;tab-stops:list 47.25pt"><font color="#FFFFFF"><b><font size="5"><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><span lang="EN-US"></span></font></b></font><font size="5" color="#FFFFFF"><b><span lang="EN-US" style="font-family:宋体;mso-ascii-font-family:&quot;Times New Roman&quot;;mso-hansi-font-family:
&quot;Times New Roman&quot;">1)</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;">如果该结点的右标志为</span><span lang="EN-US">1</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;">,那么其右指针域所指向的结点便是它的后继结点;</span></b></font></p>
<p class="MsoNormal"><span style="mso-spacerun: yes" lang="EN-US"><font color="#FFFFFF"><b><font size="5">&nbsp;&nbsp;&nbsp; 

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