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<title>数 据 结 构</title>
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<p align="center"><b><span style="mso-spacerun: yes; 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" lang="EN-US"><font size="6" color="#FFFF00">10.2
</font></span></b><span style="font-family:黑体;mso-ascii-font-family:Arial"><font size="6" color="#FFFF00"><b>折半插入排序</b></font></span></p>
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<h4><!--mstheme--><font face="宋体" color="#CC6633"><span lang="EN-US" style="font-family:宋体;mso-hansi-font-family:
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直接插入排序的基本操作是向有序表中插入一个记录，插入位置的确定通过对有序表中记录按关键码逐个比较得到的。平均情况下总比较次数约为n<sup>2</sup>/4。既然是在有序表中确定插入位置，可以不断二分有序表来确定插入位置，即一次比较，通过待插入记录与有序表居中的记录按关键码比较，将有序表一分为二，下次比较在其中一个有序子表中进行，将子表又一分为二。这样继续下去，直到要比较的子表中只有一个记录时，比较一次便确定了插入位置。<span style="mso-spacerun: yes">
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<!--mstheme--><font face="宋体"><b><span style="mso-bidi-font-size: 10.0pt; font-family: 宋体; 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" lang="EN-US"><font size="5" color="#FFFF00">二分判定有序表插入位置方法：</font></span></b>
<p class="MsoNormal" style="margin-top: 0; margin-bottom: 0"><b><span style="font-family: 宋体; mso-hansi-font-family: Times New Roman"><span style="font-family:宋体;mso-hansi-font-family:"Times New Roman""><font size="5" color="#FFFFFF">①<span lang="EN-US">
</span></font><span lang="EN-US"><font color="#FFFFFF" size="4">low=1;high=j-1;r[0]=r[j]<span style="font-family: 宋体; mso-hansi-font-family: Times New Roman" lang="EN-US">;</span><span style="mso-spacerun: yes; font-family: 宋体; mso-hansi-font-family: Times New Roman">
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<p class="MsoNormal" style="margin-top: 0; margin-bottom: 0"><b><span lang="EN-US"><font color="#FFFFFF" size="4"><span style="mso-spacerun: yes; font-family: 宋体; mso-hansi-font-family: Times New Roman"> <span>
</span></span></font></span><span style="font-family: 宋体; mso-hansi-font-family: Times New Roman"><font color="#FFFFFF" size="4"><span lang="EN-US"><span style="font-family: 宋体; mso-hansi-font-family: Times New Roman; mso-spacerun: yes">/</span><span style="mso-bidi-font-size: 10.0pt; font-family: 宋体; mso-hansi-font-family: Times New Roman">/有序表长度为j-1,第j个记录为待插入记录</span></span></font><font size="5" color="#FFFFFF"><span lang="EN-US" style="font-family:宋体;mso-hansi-font-family:"Times New Roman""><o:p>
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<p class="MsoNormal" style="margin-top: 0; margin-bottom: 0"><b><span style="font-family: 宋体; mso-hansi-font-family: Times New Roman"><font size="5" color="#FFFFFF"><span style="mso-spacerun: yes; font-family: 宋体; mso-hansi-font-family: Times New Roman" lang="EN-US">
</span></font><font color="#FFFFFF" size="4"><span lang="EN-US"><span style="font-family: 宋体; mso-hansi-font-family: Times New Roman; mso-spacerun: yes">/</span><span style="mso-bidi-font-size: 10.0pt; font-family: 宋体; mso-hansi-font-family: Times New Roman">/设置有序表区间，待插入记录送辅助单元</span></span></font><span style="mso-bidi-font-size: 10.0pt; font-family: 宋体; mso-hansi-font-family: Times New Roman" lang="EN-US"><font size="5" color="#FFFFFF"><o:p>
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<p class="MsoNormal" style="margin-top: 0; margin-bottom: 0"><span style="font-family:宋体;mso-hansi-font-family:"Times New Roman""><b><font size="5" color="#FFFFFF">②
若<span lang="EN-US">low>high，</span></font></b></span><font size="5" color="#FFFFFF"><b>得<span lang="EN-US" style="font-family: 宋体; mso-hansi-font-family: Times New Roman">到插入位置，转⑤</span></b></font><span style="font-family:宋体;mso-hansi-font-family:"Times New Roman""><b><font size="5" color="#FFFFFF"><span lang="EN-US"><o:p>
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<p class="MsoNormal" style="margin-top: 0; margin-bottom: 0"><b><font size="5" color="#FFFFFF"><span style="font-family: 宋体; mso-hansi-font-family: Times New Roman">③<span lang="EN-US">
low≤high;m=(low+high)/2<span style="font-family: 宋体; mso-hansi-font-family: Times New Roman" lang="EN-US">;</span><span style="mso-spacerun: yes; font-family: 宋体; mso-hansi-font-family: Times New Roman">
</span></span></span></font></b></p>
<p class="MsoNormal" style="margin-top: 0; margin-bottom: 0"><b><font size="5" color="#FFFFFF"><span style="mso-spacerun: yes; font-family: 宋体; mso-hansi-font-family: Times New Roman" lang="EN-US">
</span></font><span style="font-family: 宋体; mso-hansi-font-family: Times New Roman"><font color="#FFFFFF" size="4"><span lang="EN-US"><span style="mso-spacerun: yes; font-family: 宋体; mso-hansi-font-family: Times New Roman">/</span><span style="mso-bidi-font-size: 10.0pt; font-family: 宋体; mso-hansi-font-family: Times New Roman">/
取表的中点，并将表一分为二，确定待插入区间*/</span></span></font><span style="mso-bidi-font-size: 10.0pt; font-family: 宋体; mso-hansi-font-family: Times New Roman" lang="EN-US"><font size="5" color="#FFFFFF"><o:p>
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<p class="MsoNormal" style="margin-top: 0; margin-bottom: 0"><b><span style="font-family: 宋体; mso-hansi-font-family: Times New Roman"><font size="5" color="#FFFFFF">④
若<span lang="EN-US">r[0].key<r[m].key;high=m-1; </span></font><font color="#FFFFFF" size="4"><span lang="EN-US">/<span style="mso-bidi-font-size: 10.0pt; font-family: 宋体; mso-hansi-font-family: Times New Roman">/插入位置在低半区</span></span></font><font size="5" color="#FFFFFF"><span lang="EN-US" style="font-family:宋体;mso-hansi-font-family:"Times New Roman""><o:p>
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<p class="MsoNormal" style="margin-top: 0; margin-bottom: 0"> <b><font size="5" color="#FFFFFF">否则</font></b><span style="font-family: 宋体; mso-hansi-font-family: Times New Roman"><span lang="EN-US" style="font-family:宋体;mso-hansi-font-family:
"Times New Roman""><font size="5" color="#FFFFFF"><b>，low=m+1；<span style="mso-spacerun: yes; font-family: 宋体; mso-hansi-font-family: Times New Roman">
</span></b></font></span><b><font color="#FFFFFF" size="4"><span lang="EN-US"><span style="font-family: 宋体; mso-hansi-font-family: Times New Roman; mso-spacerun: yes">/</span><span style="mso-bidi-font-size: 10.0pt; font-family: 宋体; mso-hansi-font-family: Times New Roman">/
插入位置在高半区</span></span></font><font size="5" color="#FFFFFF"><span lang="EN-US" style="font-family:宋体;
mso-hansi-font-family:"Times New Roman""><o:p>
</o:p>
</span></font></b></span></p>
<p class="MsoNormal" style="margin-top: 0; margin-bottom: 0"> <span style="font-family:宋体;mso-hansi-font-family:"Times New Roman""><b><font size="5" color="#FFFFFF"><span lang="EN-US">转</span></font></b></span><span style="font-family:宋体;mso-hansi-font-family:"Times New Roman""><b><font size="5" color="#FFFFFF">②</font></b></span><b><span lang="EN-US" style="font-family:宋体;mso-hansi-font-family:
"Times New Roman""><font size="5" color="#FFFFFF"><o:p>
</o:p>
</font></span></b></p>
<p class="MsoNormal" style="margin-top: 0; margin-bottom: 0"><span style="font-family:宋体;mso-hansi-font-family:"Times New Roman""><b><font size="5" color="#FFFFFF">⑤<span lang="EN-US">
high+1即为待插入位置，从j-1到high+1的记录，逐个后移，r[high+1]=r[0]；放置待插入记录。</span></font></b></span></p>
<p class="MsoNormal" style="margin-top: 0; margin-bottom: 0"> </p>
<p class="MsoNormal" style="margin-top: 0; margin-bottom: 0"><span style="font-family:宋体;mso-hansi-font-family:"Times New Roman""><b><font size="5" color="#FFFF00">【算法<span lang="EN-US">10.3】</span></font><span lang="EN-US"><font color="#FFFFFF" size="5"><o:p>
</o:p>
</font></span></b></span></p>
<p class="MsoNormal" style="margin-top: 0; margin-bottom: 0"><font color="#FFFFFF" size="5"><span lang="EN-US" style="font-family:宋体;mso-hansi-font-family:
"Times New Roman""><b>void<span style="mso-spacerun: yes; font-family: 宋体; mso-hansi-font-family: Times New Roman">
</span>InsertSort(SqList &L)<o:p>
</o:p>
</b></span></font></p>
<p class="MsoNormal" style="margin-top: 0; margin-bottom: 0"><font color="#FFFFFF" size="5"><span style="font-family: 宋体; mso-hansi-font-family: Times New Roman"><b><span lang="EN-US">{<span style="mso-tab-count: 1; font-family: 宋体; mso-hansi-font-family: Times New Roman">
</span></span><span lang="EN-US" style="mso-bidi-font-size: 10.0pt; font-family: 宋体; mso-hansi-font-family: Times New Roman">/*
对顺序表s作折半插入排序 */</span><span lang="EN-US" style="font-family:宋体;mso-hansi-font-family:"Times New Roman""><o:p>
</o:p>
</span></b></span></font></p>
<p class="MsoNormal" style="text-indent: 21.25pt; margin-top: 0; margin-bottom: 0"><font color="#FFFFFF" size="5"><span lang="EN-US" style="font-family:宋体;mso-hansi-font-family:"Times New Roman""><b>for(i=2；i<=L.length；++i)<o:p>
</o:p>
</b></span></font></p>
<p class="MsoNormal" style="text-indent: 21.25pt; margin-top: 0; margin-bottom: 0"><font color="#FFFFFF" size="5"><span style="font-family: 宋体; mso-hansi-font-family: Times New Roman"><b><span lang="EN-US">{<span style="mso-tab-count: 1; font-family: 宋体; mso-hansi-font-family: Times New Roman">
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