{"id":412,"date":"2012-08-18T02:59:18","date_gmt":"2012-08-17T18:59:18","guid":{"rendered":"http:\/\/www.shuizilong.com\/house\/?p=412"},"modified":"2012-11-21T06:40:47","modified_gmt":"2012-11-20T22:40:47","slug":"andrew-stankevichs-contest-2","status":"publish","type":"post","link":"https:\/\/www.shuizilong.com\/house\/archives\/andrew-stankevichs-contest-2\/","title":{"rendered":"Andrew Stankevich\u2019s Contest #2"},"content":{"rendered":"<h3>Overview: <\/h3>\n<p> \u3002\u7b2c\u4e8c\u5957\u3002\u3002\u4e09\u9053 DP \u9898\u3002\u3002\u3002\uff08A, B, E \u3002\u4e14\u90fd\u8981\u6c42\u6253\u5370\u65b9\u6848\u3002\u3002\u96be\u5ea6\u4e0d\u662f\u7279\u522b\u5927\u3002\u3002<br \/>\n\u3002\uff08\u3002\u3002\u5176\u4e2d B \u9898\u662f\u7ecf\u5178\u7684\u591a\u67f1\u6cb3\u5185\u5854\u95ee\u9898\uff0c\u8981\u8003\u8651\u5230\u4ee5\u540e\u51fa\u73b0\u5404\u79cd\u6d3e\u751f\u7684\u53ef\u80fd\u6027\u3002\u3002<br \/>\n\u3002\u3002\uff08\u3002\u3002\u597d\u50cf\u5927\u5988\u7cfb\u5217\u7684\u6240\u6709 DP \u9898\u90fd\u8981\u8f93\u51fa\u65b9\u6848\u3002\u3002\u3002\u3002<br \/>\n\u3002\u4e24\u9053\u8d2a\u5fc3\u3002\uff08\u3002\u3002C\u3002 G \u3002\u7136\u540e H \u9898 Polay \u8ba1\u6570\u5b9a\u7406\u4e13\u95e8\u5f00\u4e00\u4e2a\u9875\u9762\u6574\u7406\u3002\u3002<br \/>\n\u3002\u3002\u3002\u5f53\u7136\u6700\u63a8\u8350\u7684\u8fd8\u662f D \u548c F\u3002\u3002<\/p>\n<p><!--more--><\/p>\n<p><a href=\"http:\/\/acm.hust.edu.cn:8080\/judge\/contest\/view.action?cid=1230#overview\">http:\/\/acm.hust.edu.cn:8080\/judge\/contest\/view.action?cid=1230#overview<\/a><\/p>\n<p>Problem A. Non Absorbing DFA<br \/>\n\u7ed9\u5b9a\u4e00\u4e2a\u53d8\u79cd\u7684 DFA\uff0c\u8f6c\u79fb\u51fd\u6570\u5141\u8bb8\u5728\u8f6c\u79fb\u4e4b\u540e\u4fdd\u7559\u5b57\u7b26\u3002<br \/>\n\u95ee\u53ef\u63a5\u53d7\u7684\u5b57\u7b26\u4e32\u603b\u6570\u3002<br \/>\n\u2014\u2014\u2014\u2014\u2014\u2014\u2014\u2014\u2014\u2014\u2014\u2014\u2014\u2014\u2014\u2014\u2014\u2014\u2014\u2014\u2014\u2014\u2014\u2014<br \/>\n\u6c42\u4e00\u822c\u7684\u81ea\u52a8\u673a\u6c42\u53ef\u63a5\u53d7\u5b57\u7b26\u4e32\u7684\u603b\u6570\uff0c\u7528\u666e\u901a\u7684\u52a8\u6001\u89c4\u5212\u5c31\u53ef\u4ee5\u4e86\u3002<br \/>\n\u8fd9\u9898\u53ea\u8981\u5148\u5bf9 NA-DFA \u8fdb\u884c\u4e00\u6b21\u9884\u5904\u7406\u8f6c\u6362\u6210\u666e\u901a DFA \u5c31\u884c\u4e86\u3002<br \/>\n\uff08\u6ce8\u610f\u4e2d\u95f4\u5982\u679c\u51fa\u73b0\u73af\u5219\u76f4\u63a5\u7b97\u505a\u4e0d\u53ef\u63a5\u53d7\uff0c\u8f6c\u79fb\u51fd\u6570\u5168\u90e8\u6307\u5411\u4e00\u4e2a\u7a7a\u4f4d\u7f6e\u5373\u53ef\u3002<br \/>\n<a href=\"http:\/\/acm.hust.edu.cn:8080\/judge\/problem\/viewSource.action?id=610772\">\u9ad8\u7cbe\u5ea6\uff0c\u81ea\u52a8\u673a dp\u3002<\/a><\/p>\n<p>Problem B. The Towers of Hanoi Revisited<br \/>\n\u7ed9\u5b9a N \u4e2a\u76d8\u5b50\u548c M \u4e2a\u67f1\u5b50\u7684\u591a\u67f1\u6cb3\u5185\u5854\uff0c\u6c42\u6700\u5c11\u79fb\u52a8\u6b65\u6570\uff0c\u5e76\u6253\u5370\u65b9\u6848\u3002<br \/>\n\u2014\u2014\u2014\u2014\u2014\u2014\u2014\u2014\u2014\u2014\u2014\u2014\u2014\u2014\u2014\u2014\u2014\u2014\u2014\u2014\u2014\u2014<br \/>\n\u8bbe F[m][n] \u8868\u793a m \u9636\u6cb3\u5185\u5854\uff0cn \u5757\u76d8\u5b50\u65f6\u79fb\u52a8\u65b9\u6848\u7684\u6b65\u6570\u3002\u5219<br \/>\nF[m][n] = max(2 * F[m][i] + F[m-1][n-i] | 1 <= i < n)\n\u65f6\u95f4\u590d\u6742\u5ea6 O(n^2m)\u3002\n<a href=\"http:\/\/acm.hust.edu.cn:8080\/judge\/problem\/viewSource.action?id=612834\">\u591a\u67f1\u6cb3\u5185\u5854\u95ee\u9898\uff0c\u52a8\u6001\u89c4\u5212\uff0c\u9012\u5f52\u3002\u3002\u3002<\/a><\/p>\n<p>\u56de\u5fc6\u4e09\u9636\u60c5\u51b5\u4e0b\u6211\u4eec\u7684\u505a\u6cd5\uff0c\u6bcf\u6b21\u90fd\u662f\u5c06\u6700\u4e0a n-1 \u4e2a\u76d8\u5b50\uff0c<br \/>\n\u501f\u52a9\u5f53\u524d\u67f1\u5b50\uff0c\u79fb\u52a8\u5230\u4e2d\u95f4\u67f1\u5b50\u4e0a\uff0c\u7136\u540e\u79fb\u52a8\u6700\u4e0b\u9762\u7684\u76d8\u5b50\u5230\u76ee\u6807\u67f1\uff0c<br \/>\n\u7136\u540e\u5728\u628a\u4e2d\u95f4\u67f1\u5b50\u4e0a\u7684\u76d8\u5b50\u4ee5\u5f53\u524d\u67f1\u5b50\u4f5c\u4e3a\u4e2d\u95f4\u67f1\u5b50\u79fb\u52a8\u5230\u76ee\u6807\u67f1\u5b50\u4e0a\u3002\u3002\uff08\u3002\u3002\u3002<br \/>\n\u800c\u5bf9\u4e8e\u9ad8\u9636\u60c5\u51b5\u8fd9\u91cc\u7684 n-1 \u5e76\u4e0d\u4e00\u5b9a\u80fd\u4fdd\u8bc1\u6700\u4f18\uff0c\u53ea\u80fd\u679a\u4e3e\u3002\u3002\uff08\uff1f\u3002\u6709\u89c4\u5f8b\u4e48 \u3002\u3002<br \/>\n\uff08\u53e6\u5916\u76ee\u6d4b\u968f\u7740 M \u7684\u589e\u52a0\uff0c\u51fd\u6570\u503c\u4e0b\u964d\u7684\u4f1a\u5f88\u5feb\uff1f\u3002\u3002<br \/>\n<a href=\"http:\/\/en.wikipedia.org\/wiki\/Tower_of_Hanoi#Multistack_Towers_of_Hanoi\">http:\/\/en.wikipedia.org\/wiki\/Tower_of_Hanoi#Multistack_Towers_of_Hanoi<\/a><\/p>\n<p>Problem C. Hyperhuffman<br \/>\n\u6c42 Huffman Coding \u7684 WPL (Weighted Path Length)\u3002\u3002\u3002<br \/>\n\u2014\u2014\u2014\u2014\u2014\u2014\u2014\u2014<br \/>\n\u3002\u3002\u76f4\u63a5\u7528\u4f18\u5148\u961f\u5217 O(nlogn) \u5c31\u884c\u4e86\uff0c<br \/>\n<a href=\"http:\/\/acm.hust.edu.cn:8080\/judge\/problem\/viewSource.action?id=612906\">\u54c8\u592b\u66fc\u6811\u3001\u8d2a\u5fc3\u3001\u4f18\u5148\u961f\u5217<\/a><\/p>\n<p>\uff08\u53ea\u8981\u6c42 WPL \u4e0d\u9700\u8981\u628a\u6811\u5b9e\u9645\u6784\u5efa\u51fa\u6765\u3002\u3002<br \/>\n\uff08\u53e6\u5916\u8f93\u5165\u5e8f\u5217\u662f\u6709\u5e8f\u7684\u3002\uff1f\u3002<\/p>\n<p>Problem D. Little Jumper<br \/>\n\u7ed9\u5b9a\u4e24\u9762\u8ddd\u79bb\u4e3a l \u7684\u6709\u6d1e\u7684\u5899\uff0c\u6d1e\u7684\u8303\u56f4\u5206\u522b\u4e3a [b1, t1] \u548c [b2, t2]\u3002<br \/>\n\u4e00\u53ea\u8bf9\u8bbf\u5b50\u8981\u4ece\u8ddd\u79bb\u5899\u58c1\u5de6\u4fa7 ds \u7684\u5730\u65b9\u8d77\u8df3\uff0c\u5728\u4e2d\u95f4\u533a\u57df\u505c\u987f\u4e00\u6b21\uff0c\u518d\u8df3\u5230\u8ddd\u53e6\u4e00\u9762\u5899\u53f3\u4fa7 df \u8fdc\u7684\u5730\u65b9\u3002<br \/>\n\u95ee\u81f3\u5c11\u9700\u8981\u591a\u5927\u7684\u521d\u901f\u5ea6\u3002\uff08\u4e0d\u5141\u8bb8\u4e00\u8df3\u7a7f\u8fc7\u4e24\u9762\u5899\u3002\u3002<br \/>\nTags\uff1a\u659c\u629b\u8fd0\u52a8, math, physics, parameter search<br \/>\n\u2014\u2014\u2014\u2014\u2014\u2014\u2014\u2014<br \/>\n<a href=\"http:\/\/acm.hust.edu.cn:8080\/judge\/problem\/viewSource.action?id=612796\">\u505a\u6cd5\u4e00\uff1a\u4e8c\u5206\u6cd5 \uff08180 ms +-\u3002\u3002\u4e14\u7cbe\u5ea6\u6349\u6025\u3002\u3002<\/a><br \/>\n<a href=\"http:\/\/acm.hust.edu.cn:8080\/judge\/problem\/viewSource.action?id=612795 \">\u505a\u6cd5\u4e8c\uff1a\u4e09\u5206\u6cd5\uff0840 ms +- <\/a><\/p>\n<p>Problem E. Quantization Problem<br \/>\n<a href=\"http:\/\/acm.hust.edu.cn:8080\/judge\/problem\/viewSource.action?id=610989\">dp<\/a><\/p>\n<p>Problem F. Roads<br \/>\n<a href=\"http:\/\/acm.hust.edu.cn:8080\/judge\/problem\/viewSource.action?id=612872\">\u4e8c\u5206\u56fe\u6700\u5c0f\u8fb9\u8fb9\u96c6\u5408\u8986\u76d6<\/a><\/p>\n<p>Problem G. Robbers<br \/>\n\u6709 n \u4e2a\u5f3a\u76d7\u5206 m \u4e2a\u91d1\u5e01\u3002\u7b2c i \u4e2a\u5f3a\u76d7\u7684\u529f\u52b3\u662f xi\u3002\u3002<br \/>\n\u95ee\u5982\u4f55\u5206\u91d1\u5e01\u6700\u516c\u5e73\u3002<br \/>\n\u2014\u2014\u2014\u2014\u2014\u2014<br \/>\n<a href=\"http:\/\/acm.hust.edu.cn:8080\/judge\/contest\/viewSource.action?id=613242\">\u8d2a\u5fc3<\/a><\/p>\n<p>Problem H. Toral Tickets<br \/>\nPolay \u8ba1\u6570\u6cd5<br \/>\n\u2014\u2014\u2014\u2014\u2014\u2014\u2014\u2014<br \/>\n<a href=\"https:\/\/www.shuizilong.com\/house\/archives\/%E3%80%90%E4%B8%93%E9%A2%98%E3%80%91polay-%E8%AE%A1%E6%95%B0%E5%AE%9A%E7%90%86\/\">\u3010\u4e13\u9898\u3011Polay \u8ba1\u6570\u5b9a\u7406<\/a><\/p>\n","protected":false},"excerpt":{"rendered":"<p>Overview: \u3002\u7b2c\u4e8c\u5957\u3002\u3002\u4e09\u9053 DP \u9898\u3002\u3002\u3002\uff08A, B, E \u3002\u4e14\u90fd\u8981\u6c42\u6253\u5370\u65b9\u6848\u3002\u3002\u96be\u5ea6\u4e0d\u662f\u7279\u522b\u5927\u3002\u3002 \u3002\uff08\u3002\u3002\u5176\u4e2d B \u9898\u662f\u7ecf\u5178\u7684\u591a\u67f1\u6cb3\u5185\u5854\u95ee\u9898\uff0c\u8981\u8003\u8651\u5230\u4ee5\u540e\u51fa\u73b0\u5404\u79cd\u6d3e\u751f\u7684\u53ef\u80fd\u6027\u3002\u3002 \u3002\u3002\uff08\u3002\u3002\u597d\u50cf\u5927\u5988\u7cfb\u5217\u7684\u6240\u6709 DP \u9898\u90fd\u8981\u8f93\u51fa\u65b9\u6848\u3002\u3002\u3002\u3002 \u3002\u4e24\u9053\u8d2a\u5fc3\u3002\uff08\u3002\u3002C\u3002 G \u3002\u7136\u540e H \u9898 Polay \u8ba1\u6570\u5b9a\u7406\u4e13\u95e8\u5f00\u4e00\u4e2a\u9875\u9762\u6574\u7406\u3002\u3002 \u3002\u3002\u3002\u5f53\u7136\u6700\u63a8\u8350\u7684\u8fd8\u662f D \u548c F\u3002\u3002<\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"jetpack_post_was_ever_published":false,"_jetpack_newsletter_access":"","_jetpack_dont_email_post_to_subs":false,"_jetpack_newsletter_tier_id":0,"_jetpack_memberships_contains_paywalled_content":false,"_jetpack_memberships_contains_paid_content":false,"footnotes":"","jetpack_publicize_message":"","jetpack_publicize_feature_enabled":true,"jetpack_social_post_already_shared":false,"jetpack_social_options":{"image_generator_settings":{"template":"highway","enabled":false}}},"categories":[86],"tags":[],"class_list":["post-412","post","type-post","status-publish","format-standard","hentry","category-andrew-stankevichs-contest"],"jetpack_publicize_connections":[],"jetpack_featured_media_url":"","jetpack_shortlink":"https:\/\/wp.me\/p2tdP7-6E","jetpack_sharing_enabled":true,"_links":{"self":[{"href":"https:\/\/www.shuizilong.com\/house\/wp-json\/wp\/v2\/posts\/412","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/www.shuizilong.com\/house\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/www.shuizilong.com\/house\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/www.shuizilong.com\/house\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/www.shuizilong.com\/house\/wp-json\/wp\/v2\/comments?post=412"}],"version-history":[{"count":1,"href":"https:\/\/www.shuizilong.com\/house\/wp-json\/wp\/v2\/posts\/412\/revisions"}],"predecessor-version":[{"id":415,"href":"https:\/\/www.shuizilong.com\/house\/wp-json\/wp\/v2\/posts\/412\/revisions\/415"}],"wp:attachment":[{"href":"https:\/\/www.shuizilong.com\/house\/wp-json\/wp\/v2\/media?parent=412"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.shuizilong.com\/house\/wp-json\/wp\/v2\/categories?post=412"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.shuizilong.com\/house\/wp-json\/wp\/v2\/tags?post=412"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}