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<b><font face="Arial, Helvetica, sans-serif" size="4" color="#000000">〖<font color="#FF0000">example</font>〗 n =10 input<i><font color="#0033CC"> (26, 5, 37, 1, 61, 11, 59, 15, 48, 19)</font></i>
R0 R1 R2 R3 R4 R5 R6 R7 R8 R9 left right
[26 5 37 1 61 11 59 15 48 19] <font color="#FF0000">0 9</font>
[11 5 19 1 15] <font color="#FF0000">26 </font> [59 61 48 37] <font color="#FF0000"> 0 4</font>
[1 5] <font color="#FF0000">11</font> [19 15] 26 [59 61 48 37] <font color="#FF0000">0 1</font>
<font color="#FF0000"> 1</font> 5 11 [19 15] 26 [59 61 48 37] <font color="#FF0000"> 3 4</font>
1 5 11 15 <font color="#FF0000">19</font> 26 [59 61 48 37] <font color="#FF0000"> 6 9</font>
1 5 11 15 19 26 [48 37] <font color="#FF0000">59 </font> [61] <font color="#FF0000"> 6 7</font>
1 5 11 15 19 26 37 <font color="#FF0000">48 </font> 59 [61] <font color="#FF0000"> 9 9</font>
1 5 11 15 19 26 37 48 59 <font color="#FF0000"> 61</font>
<img src="image/quicks.gif" width="445" height="177">
<font color="#0033CC">worst case </font>: <img src="image/on2.gif" width="67" height="26" align="middle">
<font color="#0033CC">best case</font> : O(n)
<font color="#0033CC">average case</font>:
<i> T (n) </i> -- the time taken to sort a file of n records:
T(n) <img src="image/less.gif" width="13" height="14" align="middle"> cn + 2T(n/2), for some constant c
<img src="image/less.gif" width="13" height="14" align="middle"> cn + 2(cn/2 + 2T(n/4))
<img src="image/less.gif" width="13" height="14" align="middle"> 2cn + 4T(n/4)
·
<img src="image/less.gif" width="13" height="14" align="middle"> cn<img src="image/logn.gif" width="61" height="24" align="middle"> + nT(1) = O(n <img src="image/logn.gif" width="61" height="24" align="middle"> )</font></b></pre>
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