网站大量收购闲置独家精品文档,联系QQ:2885784924

Mark Allen Weiss 数据结构与算法分析 课后习题答案11.pdf

Mark Allen Weiss 数据结构与算法分析 课后习题答案11.pdf

  1. 1、本文档共3页,可阅读全部内容。
  2. 2、有哪些信誉好的足球投注网站(book118)网站文档一经付费(服务费),不意味着购买了该文档的版权,仅供个人/单位学习、研究之用,不得用于商业用途,未经授权,严禁复制、发行、汇编、翻译或者网络传播等,侵权必究。
  3. 3、本站所有内容均由合作方或网友上传,本站不对文档的完整性、权威性及其观点立场正确性做任何保证或承诺!文档内容仅供研究参考,付费前请自行鉴别。如您付费,意味着您自己接受本站规则且自行承担风险,本站不退款、不进行额外附加服务;查看《如何避免下载的几个坑》。如果您已付费下载过本站文档,您可以点击 这里二次下载
  4. 4、如文档侵犯商业秘密、侵犯著作权、侵犯人身权等,请点击“版权申诉”(推荐),也可以打举报电话:400-050-0827(电话支持时间:9:00-18:30)。
查看更多
Mark Allen Weiss 数据结构与算法分析 课后习题答案11

Chapter 11: Amortized Analysis 11.1 When the number of trees after the insertions is more than the number before. 11.2 Although each insertion takes roughly log NO , and each DeleteMinO takes 2log NO actual time, our accounting system is charging these particular operations as 2 for the insertion and 3log NO−2 for the DeleteMin.O The total time is still the same; this is an accounting gimmick. If the number of insertions and DeleteMinsO are roughly equivalent, then it really is just a gimmick and not very meaningful; the bound has more significance if, for instance, there are NO insertions and OO (NO/ log NO) DeleteMinsO (in which case, the total time is linear). 11.3 Insert the sequence NO , NO + 1, NO − 1, NO + 2, NO − 2, NO + 3, ..., 1, 2NO into an initially empty skew heap. The right path has NO nodes, so any operation could take Ω(NO) time. 11.5 We implement DecreaseKey(X, H) as follows: If lowering the value of XO creates a heap order violation, then cut XO from its parent, which creates a new skew heap HO 1 with the new value of XO as a root, and also makes the old skew heap HO smaller. This operation might also increase the potential of HO , but only by at most log NO . We now merge HO and HO 1. The total amortized time of the MergeO is OO (log NO), so the total time of the DecreaseKeyO operation is OO (log NO). 11.8 For the zigO−zigO case, the actual cost is 2, and the potential change is R ( XO ) + R ( PO ) + R ( GO ) − R ( XO ) − R ( PO

文档评论(0)

yan698698 + 关注
实名认证
内容提供者

该用户很懒,什么也没介绍

1亿VIP精品文档

相关文档