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<!DOCTYPE HTML PUBLIC "-//W3C//DTD HTML 4.01//EN" "http://www.w3.org/TR/html4/strict.dtd"> <html> <head> <title>page_661</title> <link rel="stylesheet" href="reset.css" type="text/css" media="all"> <meta http-equiv="Content-Type" content="text/html; charset=UTF-8" /> </head> <body> <table summary="top nav" border="0" width="100%"> <tr> <td align="left" width="30%" style="background: #EEF3E2"><a style="color: blue; font-size: 120%; font-weight: bold; text-decoration: none; font-family: verdana;" href="page_660.html">< previous page</a></td> <td align="center" width="40%" style="background: #EEF3E2"><strong style="color: #2F4F4F; font-size: 120%;">page_661</strong></td> <td align="right" width="30%" style="background: #EEF3E2"><a style="color: blue; font-size: 120%; font-weight: bold; text-decoration: none; font-family: verdana;" href="page_662.html">next page ></a></td> </tr> <tr> <td align="left" colspan="3" style="background: #ffffff; padding: 20px;"> <table border="0" width="100%" cellpadding="0"><tr><td align="center"> <table border="0" cellpadding="2" cellspacing="0" width="100%"><tr><td align="left"></td> <td align="right"></td> </tr></table></td></tr><tr><td align="left"><p></p><table border="0" cellspacing="0" cellpadding="0" width="100%"><tr><td align="right"><font face="Times New Roman, Times, Serif" size="2" color="#FF0000">Page 661</font></td></tr></table><table border="0" cellspacing="0" cellpadding="0"><tr><td rowspan="5"></td> <td colspan="3" height="12"></td> <td rowspan="5"></td></tr><tr><td colspan="3"></td></tr><tr><td></td> <td><font face="Courier New, Courier, Mono New, Courier, Mono" size="2">{<br />聽聽聽聽Boolean聽placeFound;聽聽聽聽//聽True聽if聽item聽is聽already聽in聽the聽聽聽聽聽聽list<br />聽聽聽聽int聽聽聽聽聽index;聽聽聽聽聽聽聽聽聽//聽Position聽where聽item聽belongs<br />聽聽聽聽int聽聽聽聽聽count;聽聽聽聽聽聽聽聽聽//聽Loop聽control聽variable<br /><br />聽聽聽聽SearchOrd(list,聽item,聽length,聽index,聽placeFound);<br /><br />聽聽聽聽//聽Shift聽list[index..length-1]聽down聽one<br /><br />聽聽聽聽for聽(count聽=聽length聽-聽1;聽count聽>=聽index;聽count--)<br /><br />聽聽聽聽聽聽聽聽聽聽聽聽//聽Invariant聽(prior聽to聽test):<br />聽聽聽聽聽聽聽聽聽聽聽聽//聽聽聽聽聽list[length-1..count+1]聽have聽been聽shifted聽down<br />聽聽聽聽聽聽聽聽聽聽聽聽//聽聽&&聽length聽-聽1聽>=聽count聽>=聽index聽-聽1<br /><br />聽聽聽聽聽聽聽聽list[count+1]聽=聽list[count];<br /><br />聽聽聽聽//聽Insert聽item<br /><br />聽聽聽聽list[index]聽=聽item;<br /><br />聽聽聽聽//聽Increment聽length聽of聽list<br /><br />聽聽聽聽length++;<br />}<br /><br />//******************************************************************<br /><br />void聽SearchOrd(<br />聽聽聽聽聽聽聽聽/*聽inout聽*/聽ItemType聽list[],聽聽聽聽//聽List聽to聽be聽searched<br />聽聽聽聽聽聽聽聽/*聽in聽*/聽聽聽聽ItemType聽item,聽聽聽聽聽聽//聽Item聽to聽be聽found<br />聽聽聽聽聽聽聽聽/*聽in聽*/聽聽聽聽int聽聽聽聽聽聽length,聽聽聽聽//聽Length聽of聽list<br />聽聽聽聽聽聽聽聽/*聽out聽*/聽聽int&聽聽聽聽聽聽index,聽聽聽聽聽//聽Location聽of聽item聽if聽found<br />聽聽聽聽聽聽聽聽/*聽out聽*/聽聽聽Boolean&聽found聽聽)聽聽聽//聽True聽if聽item聽is聽found<br />{<br />聽聽聽.<br />聽聽聽.聽聽聽聽//聽Same聽as聽before<br />聽聽聽.<br />}</font></td><td></td></tr><tr><td colspan="3"></td></tr><tr><td colspan="3" height="1"></td></tr></table><table border="0" cellspacing="0" cellpadding="0"><tr><td rowspan="5"></td> <td colspan="3" height="12"></td> <td rowspan="5"></td></tr><tr><td colspan="3"></td></tr><tr><td></td> <td><font face="Times New Roman, Times, Serif" size="3">Notice that the </font><font face="Courier New, Courier, Mono New, Courier, Mono" size="3">Insert</font><font face="Times New Roman, Times, Serif" size="3"> function works even if the list is empty. </font><font face="Courier New, Courier, Mono New, Courier, Mono" size="3">SearchOrd</font><font face="Times New Roman, Times, Serif" size="3"> stores </font><font face="Courier New, Courier, Mono New, Courier, Mono" size="3">item</font><font face="Times New Roman, Times, Serif" size="3"> into </font><font face="Courier New, Courier, Mono New, Courier, Mono" size="3">list[0]</font><font face="Times New Roman, Times, Serif" size="3">, where it is immediately found. On return from </font><font face="Courier New, Courier, Mono New, Courier, Mono" size="3">SearchOrd</font><font face="Times New Roman, Times, Serif" size="3">, </font><font face="Courier New, Courier, Mono New, Courier, Mono" size="3">index</font><font face="Times New Roman, Times, Serif" size="3"> is O. Because </font><font face="Courier New, Courier, Mono New, Courier, Mono" size="3">index</font><font face="Times New Roman, Times, Serif" size="3"> is greater than the value of </font><font face="Courier New, Courier, Mono New, Courier, Mono" size="3">length-1</font><font face="Times New Roman, Times, Serif" size="3"> (which is </font><font face="Courier New, Courier, Mono New, Courier, Mono" size="3">-1</font><font face="Times New Roman, Times, Serif" size="3">), the body of the For loop is not executed. </font><font face="Courier New, Courier, Mono New, Courier, Mono" size="3">item</font><font face="Times New Roman, Times, Serif" size="3"> is then stored into the first position in </font><font face="Courier New, Courier, Mono New, Courier, Mono" size="3">list</font><font face="Times New Roman, Times, Serif" size="3">, and </font><font face="Courier New, Courier, Mono New, Courier, Mono" size="3">length</font><font face="Times New Roman, Times, Serif" size="3"> is set to </font><font face="Courier New, Courier, Mono New, Courier, Mono" size="3">1</font><font face="Times New Roman, Times, Serif" size="3">. This algorithm also works if </font><font face="Courier New, Courier, Mono New, Courier, Mono" size="3">item</font><font face="Times New Roman, Times, Serif" size="3"> is larger than any component in the list. When this happens, </font><font face="Courier New, Courier, Mono New, Courier, Mono" size="3">index</font><font face="Times New Roman, Times, Serif" size="3"> equals </font><font face="Courier New, Courier, Mono New, Courier, Mono" size="3">length</font><font face="Times New Roman, Times, Serif" size="3">, and </font><font face="Courier New, Courier, Mono New, Courier, Mono" size="3">item</font><font face="Times New Roman, Times, Serif" size="3"> is placed at the end of the list.</font></td><td></td></tr><tr><td colspan="3"></td></tr><tr><td colspan="3" height="1"></td></tr></table><table border="0" cellspacing="0" cellpadding="0"><tr><td rowspan="5"></td> <td colspan="3" height="12"></td> <td rowspan="5"></td></tr><tr><td colspan="3"></td></tr><tr><td></td> <td><font face="Times New Roman, Times, Serif" size="3">This algorithm is the basis for another sorting algorithm-an <i>insertion sort.</i> In an insertion sort, values are inserted one at a time into a list that was originally empty. An insertion sort is often used when input data must be</font></td><td></td></tr><tr><td colspan="3"></td></tr><tr><td colspan="3" height="1"></td></tr></table></td></tr></table><p><font size="0"></font></p>聽 </td> </tr> <tr> <td align="left" width="30%" style="background: #EEF3E2"><a style="color: blue; font-size: 120%; font-weight: bold; text-decoration: none; font-family: verdana;" href="page_660.html">< previous page</a></td> <td align="center" width="40%" style="background: #EEF3E2"><strong style="color: #2F4F4F; font-size: 120%;">page_661</strong></td> <td align="right" width="30%" style="background: #EEF3E2"><a style="color: blue; font-size: 120%; font-weight: bold; text-decoration: none; font-family: verdana;" href="page_662.html">next page ></a></td> </tr> </table> </body> </html>
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