{"id":408,"date":"2012-08-18T01:03:11","date_gmt":"2012-08-17T17:03:11","guid":{"rendered":"http:\/\/www.shuizilong.com\/house\/?p=408"},"modified":"2012-08-18T03:27:32","modified_gmt":"2012-08-17T19:27:32","slug":"andrew-stankevichs-contest-1","status":"publish","type":"post","link":"https:\/\/www.shuizilong.com\/house\/archives\/andrew-stankevichs-contest-1\/","title":{"rendered":"Andrew Stankevich&#8217;s Contest #1"},"content":{"rendered":"<h3>Overview: <\/h3>\n<p>\u3002\u3002\u3002\u5927\u5988\u9898\u7b2c\u4e00\u5957\u3002\u3002\u3002\u5927\u90e8\u5206\u90fd\u662f\u4ee5\u524d\u505a\u8fc7\u7684\u9898\u76ee\u3002\u3002\u6240\u4ee5\u611f\u5230\u96be\u5ea6\u4e0d\u662f\u5f88\u5927\uff1f\u3002<br \/>\n\u3002\u3002\u7528\u6765\u590d\u4e60\u7684\u8bdd\u5012\u662f\u4e0d\u9519\u3002\u3002\u63a8\u8350 D \u548c F\u3002\u3002\u3002<\/p>\n<p><!--more--><\/p>\n<p><a href=\"http:\/\/acm.hust.edu.cn:8080\/judge\/contest\/view.action?cid=4512#overview\">http:\/\/acm.hust.edu.cn:8080\/judge\/contest\/view.action?cid=4512#overview<\/a><\/p>\n<p>Problem A. Chinese Girls&#8217; Amusement<br \/>\n<a href=\"http:\/\/acm.hust.edu.cn:8080\/judge\/problem\/viewSource.action?id=627913\">\u6570\u8bba + \u5927\u6570..<\/a><\/p>\n<p>Problem B. Reactor Cooling<br \/>\n<a href=\"https:\/\/www.shuizilong.com\/house\/archives\/zoj-2314-reactor-cooling\/\">\u4e0a\u4e0b\u754c\u7f51\u7edc\u6d41..<\/a><\/p>\n<p>Problem C. New Year Bonus Grant<br \/>\n\u6811\u7684\u6700\u5927\u8fb9\u8986\u76d6\u96c6\u3002\u3002<br \/>\n<a href=\"http:\/\/acm.hust.edu.cn:8080\/judge\/problem\/viewSource.action?id=630605\">\u6811\u5f62 DP\u3002\u3002\uff08F[u] \u88ab\u8986\u76d6\uff0cG[u] \u8986\u76d6\u522b\u4eba\u3002<\/a><\/p>\n<p>Problem D. Matrix Multiplication<br \/>\n\u3002\u3002\u3002\u7b97\u6cd5\u5bfc\u8bba\u4e0a\u7684\u4e00\u4e2a\u4e60\u9898 \u3002\u3002\uff08\u53c2\u89c1 \u4e60\u9898 22.1-7 \u3002\u3002pg 324<\/p>\n<p>$latex \\sum{A}=B^TB=\\sum_{i,j}\\sum_k{B_{ki}B_{kj}}=\\sum_k\\sum_{i,j}{{B_{ki}B_{kj}}}&#038;s=4$<\/p>\n<p>\uff08\u4e0a\u5f0f\u4ee5 wiki \u9875\u7684\u4e60\u60ef\u7528\u6cd5\u4e3a\u51c6\u3002A \u77e9\u9635\u4ee3\u8868\u90bb\u63a5\u77e9\u9635\uff0c B \u77e9\u9635\u4ee3\u8868\u5173\u8054\u77e9\u9635\u3002\u3002\u3002\u3002<br \/>\n\u3002\u3002\u5b9e\u9645\u4e0a\u4e0a\u9762\u7684\u516c\u5f0f\u7684\u610f\u601d\u5c31\u662f A \u662f\u539f\u56fe\u7684\u6240\u5bf9\u5e94\u7684\u7ebf\u56fe\u7684\u90bb\u63a5\u77e9\u9635\u3002\uff08\u6240\u8c13\u7ebf\u56fe\u5927\u6982\u5c31\u662f\u70b9\u7ebf\u4e92\u6362\u7684\u610f\u601d\u3002\u3002\u3002\u3002<br \/>\n\u4e8e\u662f Aij \u5c31\u8868\u793a\u8fb9 i \u548c\u8fb9 j \u4e4b\u95f4\u901a\u8fc7\u591a\u5c11\u4e2a\u5b9a\u70b9\u76f8\u4e92\u5173\u8054\u3002\u3002\uff08\u3002\u3002\u5728\u4e00\u822c\u56fe\u4e2d\u3002\u3002 \u8fd9\u4e2a\u503c\u53ea\u4f1a\u53d6  0\uff0c 1\uff0c 2 \u3002\u3002\u3002<br \/>\n\u4e8e\u662f\u4ece\u5ea6\u6570\u7684\u89d2\u5ea6\u6765\u8003\u8651\u3002\u3002\u4e00\u4e2a\u5ea6\u6570\u4e3a k \u7684\u9876\u70b9\u4f1a\u7ed9\u6574\u4e2a\u77e9\u9635\u5e26\u6765 k^2 \u4e2a\u6536\u76ca\u3002\u3002\u3002<br \/>\n\u6240\u4ee5\u4e0a\u9762\u7684\u503c\u4e5f\u7b49\u4e8e\u6240\u6709\u9876\u70b9\u5ea6\u6570\u5e73\u65b9\u7684\u603b\u548c\u3002<\/p>\n<p><a href=\"http:\/\/acm.hust.edu.cn:8080\/judge\/problem\/viewSource.action?id=630527\">\u3002\u3002O(n + m)\u3002\uff09\u3002<\/a><\/p>\n<p>\uff08\u53cd\u8fc7\u6765\u4e58\u7684\u8bdd\u4f1a\u5f97\u5230\u539f\u672c\u7684\u90bb\u63a5\u77e9\u9635\u3002\u3002\u3002\u3002\u7d2f\u548c\u7684\u8bdd\u4f1a\u5f97\u5230\u5bf9\u5e94\u7ebf\u56fe\u7684\u5ea6\u6570\u5e73\u65b9\u548c\u3002<br \/>\n\u3002\u7531\u4e8e\u6bcf\u6761\u8fb9\u56fa\u5b9a\u548c\u4e24\u4e2a\u9876\u70b9\u5173\u8054\u3002\u3002\uff08\u56e0\u4e3a\u5728\u4e00\u822c\u56fe\u4e2d\u8fd9\u4e2a\u503c\u5b9e\u9645\u662f\u4e2a\u5b9a\u503c\u3002\u3002\uff08m * 2^2 \u3002\u3002\u6240\u6709\u51fa\u8d77\u9898\u76ee\u6765\u6ca1\u4ec0\u4e48\u610f\u601d\u3002\u3002<br \/>\n<a href=\"http:\/\/en.wikipedia.org\/wiki\/Incidence_matrix\">http:\/\/en.wikipedia.org\/wiki\/Incidence_matrix<\/a><\/p>\n<p>Problem E. Nice Patterns Strike Back<br \/>\n<a href=\"http:\/\/acm.hust.edu.cn:8080\/judge\/problem\/viewSource.action?id=628195\">SCDP + \u77e9\u9635\u4e58\u6cd5<\/a><\/p>\n<p>Problem F. Get Out!<br \/>\n<a href=\"https:\/\/www.shuizilong.com\/house\/archives\/sgu-198\/\">\u8ba1\u7b97\u51e0\u4f55<\/a><\/p>\n<p>Problem G. Beautiful People<br \/>\n<a href=\"http:\/\/acm.hust.edu.cn:8080\/judge\/problem\/viewSource.action?id=631040\">LIS\u3002\u3002<\/a><\/p>\n<p>Problem H. Cracking RSA<br \/>\n<a href=\"http:\/\/acm.hust.edu.cn:8080\/judge\/problem\/viewSource.action?id=631397\">\u4ea6\u6216\u65b9\u7a0b + \u5927\u6570<\/a><\/p>\n","protected":false},"excerpt":{"rendered":"<p>Overview: \u3002\u3002\u3002\u5927\u5988\u9898\u7b2c\u4e00\u5957\u3002\u3002\u3002\u5927\u90e8\u5206\u90fd\u662f\u4ee5\u524d\u505a\u8fc7\u7684\u9898\u76ee\u3002\u3002\u6240\u4ee5\u611f\u5230\u96be\u5ea6\u4e0d\u662f\u5f88\u5927\uff1f\u3002 \u3002\u3002\u7528\u6765\u590d\u4e60\u7684\u8bdd\u5012\u662f\u4e0d\u9519\u3002\u3002\u63a8\u8350 D \u548c F\u3002\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-408","post","type-post","status-publish","format-standard","hentry","category-andrew-stankevichs-contest"],"jetpack_publicize_connections":[],"jetpack_featured_media_url":"","jetpack_shortlink":"https:\/\/wp.me\/p2tdP7-6A","jetpack_sharing_enabled":true,"_links":{"self":[{"href":"https:\/\/www.shuizilong.com\/house\/wp-json\/wp\/v2\/posts\/408","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=408"}],"version-history":[{"count":1,"href":"https:\/\/www.shuizilong.com\/house\/wp-json\/wp\/v2\/posts\/408\/revisions"}],"predecessor-version":[{"id":409,"href":"https:\/\/www.shuizilong.com\/house\/wp-json\/wp\/v2\/posts\/408\/revisions\/409"}],"wp:attachment":[{"href":"https:\/\/www.shuizilong.com\/house\/wp-json\/wp\/v2\/media?parent=408"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.shuizilong.com\/house\/wp-json\/wp\/v2\/categories?post=408"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.shuizilong.com\/house\/wp-json\/wp\/v2\/tags?post=408"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}