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来自「浙江大学计算机学院数据结构课程的教学课件」· HTM 代码 · 共 133 行
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<b>|</b><font face="宋体" size="2">第一章</font><b>|</b><font face="宋体" size="2"><a href="text2-0.htm">第二章</a></font><b>|</b><font face="宋体" size="2"><a href="text3-0.htm">第三章</a></font><b>|</b><font face="宋体" size="2"><a href="text4-0.htm">第四章</a></font><b>|</b><font face="宋体" size="2"><a href="text5-0.htm">第五章</a></font><b>|</b><font face="宋体" size="2"><a href="text6-0.htm">第六章</a></font><b>|</b><font face="宋体" size="2"><a href="text7-0.htm">第七章</a></font><b>|</b><font face="宋体" size="2"><a href="text8-0.htm">第八章</a></font><b>|</b><font face="宋体" size="2"><a href="text9-0.htm">第九章</a></font><b>|</b><font face="宋体" size="2"><a href="text10-0.htm">第十章</a></font><b>|</b><font size="2" face="宋体"><a href="textA-0.htm">算法分析</a><b><font color="#000000">|</font></b>
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<b>|</b><font face="宋体" size="2">第一章</font><b>|</b><font face="宋体" size="2"><a href="../text2/text2-0.htm">第二章</a></font><b>|</b><font face="宋体" size="2"><a href="../text3/text3-0.htm">第三章</a></font><b>|</b><font face="宋体" size="2"><a href="../text4/text4-0.htm">第四章</a></font><b>|</b><font face="宋体" size="2"><a href="../text5/text5-0.htm">第五章</a></font><b>|</b><font face="宋体" size="2"><a href="../text6/text6-0.htm">第六章</a></font><b>|</b><font face="宋体" size="2"><a href="../text7/text7-0.htm">第七章</a></font><b>|</b><font face="宋体" size="2"><a href="../text8/text8-0.htm">第八章</a></font><b>|</b><font face="宋体" size="2"><a href="../text9/text9-0.htm">第九章</a></font><b>|</b><font face="宋体" size="2"><a href="../text10/text10-0.htm">第十章</a></font><b>|</b><font size="2" face="宋体"><a href="../textA/textA-0.htm">算法分析</a><b><font color="#000000">|</font></b>
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<pre><font face="Arial, Helvetica, sans-serif" color="#000000" size="4"><b>
【example】<font color="#FF0033">Magic square</font>
<i>row sum = column sum = diagonals sum </i>
</b></font></pre>
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<td><font face="Arial, Helvetica, sans-serif" color="#000000" size="4"><b>15</b></font></td>
<td><font face="Arial, Helvetica, sans-serif" color="#000000" size="4"><b>
8</b></font></td>
<td><font face="Arial, Helvetica, sans-serif" color="#000000" size="4"><b>
1</b></font></td>
<td><font face="Arial, Helvetica, sans-serif" color="#000000" size="4"><b>24</b></font></td>
<td><font face="Arial, Helvetica, sans-serif" color="#000000" size="4"><b>17</b></font></td>
</tr>
<tr>
<td><font face="Arial, Helvetica, sans-serif" color="#000000" size="4"><b>16</b></font></td>
<td><font face="Arial, Helvetica, sans-serif" color="#000000" size="4"><b>14
</b></font></td>
<td><font face="Arial, Helvetica, sans-serif" color="#000000" size="4"><b>
7 </b></font></td>
<td><font face="Arial, Helvetica, sans-serif" color="#000000" size="4"><b>
5</b></font></td>
<td><font face="Arial, Helvetica, sans-serif" color="#000000" size="4"><b>23</b></font></td>
</tr>
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<td><font face="Arial, Helvetica, sans-serif" color="#000000" size="4"><b>22</b></font></td>
<td><font face="Arial, Helvetica, sans-serif" color="#000000" size="4"><b>20</b></font></td>
<td><font face="Arial, Helvetica, sans-serif" color="#000000" size="4"><b>13</b></font>
</td>
<td><font face="Arial, Helvetica, sans-serif" color="#000000" size="4"><b>6</b></font></td>
<td><font face="Arial, Helvetica, sans-serif" color="#000000" size="4"><b>4</b></font></td>
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<td><font face="Arial, Helvetica, sans-serif" color="#000000" size="4"><b>3</b></font></td>
<td><font face="Arial, Helvetica, sans-serif" color="#000000" size="4"><b>21</b></font></td>
<td><font face="Arial, Helvetica, sans-serif" color="#000000" size="4"><b>19
</b></font></td>
<td><font face="Arial, Helvetica, sans-serif" color="#000000" size="4"><b>12
</b></font></td>
<td><font face="Arial, Helvetica, sans-serif" color="#000000" size="4"><b>
10</b></font></td>
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<td><font face="Arial, Helvetica, sans-serif" color="#000000" size="4"><b>9</b></font></td>
<td><font face="Arial, Helvetica, sans-serif" color="#000000" size="4"><b>2</b></font></td>
<td><font face="Arial, Helvetica, sans-serif" color="#000000" size="4"><b>25</b></font></td>
<td><font face="Arial, Helvetica, sans-serif" color="#000000" size="4"><b>18
</b></font></td>
<td><font face="Arial, Helvetica, sans-serif" color="#000000" size="4"><b>11</b></font></td>
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<pre><font face="Arial, Helvetica, sans-serif" color="#000000" size="4"><b>
#include <stdio.h><i><stdio.h></i>
#define<font size="3"> MAX_SIZE</font> 15 <font color="#FF00FF"> <font color="#FF0099">/*maximum size of square*/</font></font>
void <font color="#FF0033">main(void) <font color="#000000"> <font color="#FF0099"> /* construct a magic square, interactively*/</font>
{</font></font>
static int square[MAX_SIZE][MAX_SIZE];
int i, j, row, column; <font color="#FF0099"> /*indices*/</font>
int count; <font color="#FF0099"> /* counter */</font>
int size; <font color="#FF0099"> /* square size */</font>
<font color="#FF0033">printf</font> ("Enter the size of the square : ");
<font color="#FF0033">scan</font> ("%d", &size);
<font color="#FF0099"> /* check for input errors */</font>
if (size < 1 || size > MAX_SIZE + 1 ) {
<font color="#FF0033">printf</font>( stderr, "Error! size is out of range\n"); <font color="#FF0099"> /* O(1) */</font>
exit (1);
}
if (!(size % 2) ) {
<font color="#FF0033">printf</font>(stderr, "Error! size is even\n");
exit(1);
}
for(i = 0; i < size; i++)
for ( j = 0; j < size; j++) <font color="#FF0066"> /* O(<img src="image/Image6.gif" width="26" height="21">)*/</font>
square[i][j] = 0;
square[0][(size -1 )/2] = 1; <font color="#FF0066"> /* middle of fist row*/</font>
<font color="#FF0066"> /* i and j are current position */</font>
i = 0;
j = (size / 2);
for ( count = 2; count < =size * size; count ++) { <font color="#FF0066"> /* O(</font><font face="Arial, Helvetica, sans-serif" color="#000000" size="4"><b><font color="#FF0066"><img src="image/Image6.gif" width="26" height="21"></font></b></font><font color="#FF0066"> )*/</font>
row = ( i - 1 < 0) ? ( size -1 ) : (i -1 ); <font color="#FF0066">/*up */</font>
column = ( j -1) ? (size -1 ) : ( j -1 ); <font color="#FF0066"> /*left*/</font>
if (square [row][column] <font color="#FF0066"> /* down*/</font>
i = (++i) % size;<font color="#FF0066"> </font>
else { <font color="#FF0066"> /* square is unoccupied*/</font> <font color="#FF0066"> </font>
i = row;
j = ( j -1 < 0 ) ? ( size -1) : - - j:
}
square[i][j] = count;
}
<font color="#FF0066"> /* output the magic square */</font>
printf (" Magic square of size %d : \n\n", size );
for ( i = 0; i < size; i ++) {
for ( j = 0 ; j , size; j ++)
printf( "%5d", square[i][j]);
printf("\n");
}
printf("\n\n");
}
<font color="#0000FF">Coxeter's rule:</font>
1. put a one in the middle box of the top row
2. go up and left assigning number in the increasing order to
empty box
<i>jump off the square
occupied</i>
</b></font>
</pre>
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