it takes a bit more than that

来源: dynamic 2009-05-18 19:55:29 [] [旧帖] [给我悄悄话] 本文已被阅读: 次 (438 bytes)
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回答: algorithmic complexity requirement?haha20002009-05-18 19:19:21
there are some issues with your method:

1. starting with a[i] != i, you might find a cycle and go back to i. In this cycle, no element occurred more than once.

2. The problem asks you to find one repeated element. Not every element in a cycle is repeated. Finding the exact "entrance" to a cycle is the tricky part of the problem.

The big idea is correct though, and there is a linear time algorithm. Good luck~

所有跟帖: 

hmm,这个有意思:) -戏雨飞鹰- 给 戏雨飞鹰 发送悄悄话 戏雨飞鹰 的博客首页 (0 bytes) () 05/18/2009 postreply 21:12:19

回复:it takes a bit more than that -utopian- 给 utopian 发送悄悄话 (51 bytes) () 05/20/2009 postreply 17:23:11

hashing needs linear memory as well. we want constant memory her -dynamic- 给 dynamic 发送悄悄话 (0 bytes) () 05/20/2009 postreply 17:28:12

Pay attention to some key numbers. -乱弹- 给 乱弹 发送悄悄话 乱弹 的博客首页 (0 bytes) () 05/20/2009 postreply 19:24:24

觉得在哪里见过这个题目 -haha2000- 给 haha2000 发送悄悄话 (19 bytes) () 05/21/2009 postreply 07:24:10

I don't think so. -乱弹- 给 乱弹 发送悄悄话 乱弹 的博客首页 (0 bytes) () 05/21/2009 postreply 09:52:29

这题目是IMB 2004 一月的一个puzzle:) -戏雨飞鹰- 给 戏雨飞鹰 发送悄悄话 戏雨飞鹰 的博客首页 (79 bytes) () 05/21/2009 postreply 12:22:12

Yes, right! thanks! -haha2000- 给 haha2000 发送悄悄话 (0 bytes) () 05/22/2009 postreply 11:05:23

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