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<b><font face="Arial, Helvetica, sans-serif" size="4" color="#000000">
〖<font color="#0033CC">example</font>〗process the following 8 finds:
<font color="#0033CC"> find (7), find (7), … , find (7)</font>
<font color="#FF0000">old version</font> ----- 24 moves to process all eight finds
<font color="#FF0000">new version </font>--- 13 moves to process all eight finds
<img src="IMAGE/text5-z101.gif" width="581" height="133">
<img src="IMAGE/amn.gif" width="84" height="23"> ---- a very slowly growing function
<img src="IMAGE/amn=.gif" width="472" height="24">
<img src="IMAGE/apq.gif" width="84" height="23"> ---- Ackermann's function ( a very rapidly growing function)
<img src="IMAGE/apq=.gif" width="534" height="147">
(1) <img src="IMAGE/a34.gif" width="295" height="38">
(2) <img src="IMAGE/apq+1.gif" width="227" height="23">
(3) </font></b><img src="IMAGE/ap+1q.gif" width="227" height="23">
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