{"id":1359,"date":"2020-02-27T19:01:50","date_gmt":"2020-02-27T11:01:50","guid":{"rendered":"http:\/\/149.129.74.185\/?p=1359"},"modified":"2020-03-04T21:57:03","modified_gmt":"2020-03-04T13:57:03","slug":"%e9%ab%98%e7%ba%a7%e6%95%b0%e6%8d%ae%e7%bb%93%e6%9e%84-week-1-note","status":"publish","type":"post","link":"http:\/\/www.magicmipamipa.com\/?p=1359","title":{"rendered":"[\u9ad8\u7ea7\u6570\u636e\u7ed3\u6784] Week 1 Note"},"content":{"rendered":"<p>\u300a\u6570\u636e\u7ed3\u6784\u4e0e\u7b97\u6cd5\u5206\u6790\u300b<\/p>\n<p>\u300aAlgorithm Design\u300b<\/p>\n<p>Grading Policies<\/p>\n<ul>\n<li>Homework 10<\/li>\n<li>Discussions 10<\/li>\n<li>Research Project(20) + Presatation(6) + Peer review(4) 30<\/li>\n<li>MidTerm 10<\/li>\n<li>Final 40<\/li>\n<\/ul>\n<p>7 topics\uff0cat most 4 groups will be chosen\uff0c\u968f\u673a\u4e00\u4e2a\u4eba\u5c55\u793a\u3002\u7b2c\u4e00\u4e2a\u5c0f\u7ec412\u5206\u949f\uff0c\u4e4b\u540e\u7684\u5c0f\u7ec4\u4e0d\u8bb2\u91cd\u590d\u5185\u5bb9\u3002bonus \u662fProject \u7684\u5341\u5206\u4e4b\u4e00\u3002<\/p>\n<hr \/>\n<h3 id=\"mcetoc_1e226hffn0\">AVL Adelson-Velskii-Landis(AVL) Trees<\/h3>\n<h4>\u5b9a\u4e49 Define<\/h4>\n<p>1.\u5de6\u5b50\u6811\u4e0e\u53f3\u5b50\u6811\u662f\u9ad8\u5ea6\u5e73\u8861\u7684\u3002<\/p>\n<p>2.\u5de6\u5b50\u6811\u4e0e\u53f3\u5b50\u6811\u7684\u9ad8\u5ea6\u5dee\u5c0f\u4e8e\u7b49\u4e8e1\u3002<\/p>\n<p>BF(node) = H<sub>L<\/sub> &#8211; H<sub>R<\/sub>\uff0c\u5728AVL\u6811\u4e2d\uff0cBF = -1,0\u62161<\/p>\n<p>*\u5f53\u51fa\u73b0BF\u4e0d\u5408\u6cd5\u65f6\uff0c\u5bf9AVL\u6811\u8fdb\u884c\u8c03\u6574\u3002<\/p>\n<p>\u5e73\u5747\u8bbf\u95ee\uff1aO(logN)<\/p>\n<h4 id=\"mcetoc_1e226vd8p1\">\u8c03\u6574<\/h4>\n<p>Insert Node -&gt; Update BF(Node) \u66f4\u65b0\u63d2\u5165\u8def\u5f84\u4e0a\u7684\u8282\u70b9\u7684\u4fe1\u606f<\/p>\n<p>Trouble Maker\uff1a\u63d2\u5165\u540e\u4ea7\u751f\u4e0d\u5e73\u8861\u7684\u8282\u70b9<\/p>\n<p>Trouble Finder\uff1aBF\u4fe1\u606f\u4e0d\u5408\u6cd5\u7684\u8282\u70b9<\/p>\n<p>RR\uff08\u4e24\u4e2a\u53f3\u5b50\u6811\uff09 Rotation \u5de6\u65cb\uff1a<\/p>\n<p style=\"padding-left: 30px;\">TM\u5728TF\u53f3\u5b50\u6811\u53f3\u8282\u70b9\u63d2\u5165\u5bfc\u81f4\u5931\u8861\u3002<\/p>\n<p>LL\uff08\u4e24\u4e2a\u5de6\u5b50\u6811\uff09Rotation \u53f3\u65cb\uff1a<\/p>\n<p style=\"padding-left: 30px;\">TM\u5728TF\u5de6\u5b50\u6811\u5de6\u8282\u70b9\u63d2\u5165\u5bfc\u81f4\u5931\u8861\u3002<\/p>\n<p>\u5de6\u65cb\u548c\u53f3\u65cb\u4f7f\u7528\u5c40\u90e8\u8c03\u6574\uff0c\u9ad8\u5ea6\u4e00\u81f4\uff0c\u4e0d\u9700\u8981\u5411\u4e0a\u68c0\u67e5\u5e73\u8861\u56e0\u5b50\u4fe1\u606f\u3002<\/p>\n<p>LR\uff08TroubleFinder\u5de6\u5b50\u6811\u7684\u53f3\u5b50\u6811\uff09\u5148\u5de6\u65cb\u540e\u53f3\u65cb\uff1a<\/p>\n<p>\u5148\u5de6\u65cb\u5de6\u5b50\u6811\u7684\u53f3\u8282\u70b9\uff0c\u518d\u53f3\u65cb\u8be5\u8282\u70b9\u3002<\/p>\n<p>RL\uff08TroubleFinder\u53f3\u5b50\u6811\u7684\u5de6\u5b50\u6811\uff09\u5148\u5de6\u65cb\u540e\u53f3\u65cb\uff1a<\/p>\n<p>\u5148\u53f3\u65cb\u53f3\u5b50\u6811\u7684\u5de6\u8282\u70b9\uff0c\u518d\u5de6\u65cb\u8be5\u8282\u70b9\u3002<\/p>\n<blockquote><p>\u5982\u4f55\u4fdd\u8bc1Tp = O(H)\uff1f<\/p>\n<ol>\n<li>\u7ed9\u5b9a\u9ad8\u5ea6\u6700\u5c11\u7684\u8282\u70b9\u6570<\/li>\n<li>\u7ed9\u5b9a\u8282\u70b9\u6570\u6700\u5927\u7684\u9ad8\u5ea6<\/li>\n<\/ol>\n<\/blockquote>\n<h3 id=\"mcetoc_1e228leg72\">Splay Trees<\/h3>\n<p>M\u4e2a\u8fde\u7eed\u7684Splay tree\u64cd\u4f5c\uff0c\u64cd\u4f5c\u4ee3\u4ef7O(MlogN)\u3002<\/p>\n<p>\u5c40\u90e8\u6027\u539f\u5219\uff08\u8ba1\u7b97\u673a\u54f2\u5b66\uff1f\uff09<\/p>\n<h4>Delete \u5220\u9664<\/h4>\n<p>1.\u627e\u5230X\uff0c\u5c06X\u79fb\u5230root<\/p>\n<p>2.\u5220\u9664X\u3002<\/p>\n<p>3.FindMax(T<sub>L<\/sub>)\uff0c\u628a\u5b83\u7ffb\u8f6c\u5230root\u4e0a\u3002<\/p>\n<p>4.\u628aT<sub>R<\/sub>\u4f5c\u4e3aT<sub>L<\/sub>\u7684\u53f3\u5b50\u6811\u3002<\/p>\n<h4>Amortized Analysis \u5747\u644a\u5206\u6790<\/h4>\n<p><strong>Amortized time bound<\/strong>\uff1aAny M consecutive operations take at most O(M log N) time.<\/p>\n<h5>Aggregate analysis<\/h5>\n<p>\u805a\u5408\u5206\u6790\uff1a\u8868\u660e\u5bf9\u4e8e\u6240\u6709n\u4e2a\u64cd\u4f5c\uff0cn\u4e2a\u64cd\u4f5c\u7684\u5e8f\u5217\u603b\u5171\u5360\u7528\u6700\u574f\u60c5\u51b5\u65f6\u95f4T\uff08n\uff09\u3002\u5728\u6700\u574f\u7684\u60c5\u51b5\u4e0b\uff0c\u6bcf\u9879\u64cd\u4f5c\u7684\u5e73\u5747\u6210\u672c\u6216\u644a\u4f59\u6210\u672c\u4e3aT\uff08n\uff09\/n\u3002<\/p>\n<p>&nbsp;<\/p>\n<h5>Accounting method<\/h5>\n<h5>Potential method<\/h5>\n","protected":false},"excerpt":{"rendered":"<p>\u300a\u6570\u636e\u7ed3\u6784\u4e0e\u7b97\u6cd5\u5206\u6790\u300b \u300aAlgorithm Design\u300b Grading Policies Ho [&hellip;]<\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":[],"categories":[38,16],"tags":[],"_links":{"self":[{"href":"http:\/\/www.magicmipamipa.com\/index.php?rest_route=\/wp\/v2\/posts\/1359"}],"collection":[{"href":"http:\/\/www.magicmipamipa.com\/index.php?rest_route=\/wp\/v2\/posts"}],"about":[{"href":"http:\/\/www.magicmipamipa.com\/index.php?rest_route=\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"http:\/\/www.magicmipamipa.com\/index.php?rest_route=\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"http:\/\/www.magicmipamipa.com\/index.php?rest_route=%2Fwp%2Fv2%2Fcomments&post=1359"}],"version-history":[{"count":5,"href":"http:\/\/www.magicmipamipa.com\/index.php?rest_route=\/wp\/v2\/posts\/1359\/revisions"}],"predecessor-version":[{"id":1402,"href":"http:\/\/www.magicmipamipa.com\/index.php?rest_route=\/wp\/v2\/posts\/1359\/revisions\/1402"}],"wp:attachment":[{"href":"http:\/\/www.magicmipamipa.com\/index.php?rest_route=%2Fwp%2Fv2%2Fmedia&parent=1359"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"http:\/\/www.magicmipamipa.com\/index.php?rest_route=%2Fwp%2Fv2%2Fcategories&post=1359"},{"taxonomy":"post_tag","embeddable":true,"href":"http:\/\/www.magicmipamipa.com\/index.php?rest_route=%2Fwp%2Fv2%2Ftags&post=1359"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}