{"id":988,"date":"2014-10-01T13:56:15","date_gmt":"2014-10-01T05:56:15","guid":{"rendered":"http:\/\/www.shuizilong.com\/house\/?p=988"},"modified":"2014-10-01T13:56:15","modified_gmt":"2014-10-01T05:56:15","slug":"hdu-2993-max-average-problem","status":"publish","type":"post","link":"https:\/\/www.shuizilong.com\/house\/archives\/hdu-2993-max-average-problem\/","title":{"rendered":"HDU 2993. MAX Average Problem"},"content":{"rendered":"<p><!--more--><\/p>\n<h3>Brief description: <\/h3>\n<p>\u8bfb\u5165\u4e00\u5217\u6b63\u6570N\uff0ca1, a2, \u2026, aN\uff0c\u4ee5\u53ca\u4e00\u4e2a\u6570F\u3002<br \/>\n\u5b9a\u4e49ave(i,j) = ai \u5230 aj \u7684\u5e73\u5747\u503c, \u8981\u6c42 j-i+1 >= k\uff0c<br \/>\n\u6c42\u4e00\u4e2a\u6700\u5927\u7684ave\uff08i\uff0cj\uff09<\/p>\n<h3>Analysis: <\/h3>\n<p>\u3002\u3002\u6bcf\u6b21\u8be2\u95ee\u56fa\u5b9a\u4e00\u70b9 (x, y) \u4e0e\u4e4b\u524d\u67d0\u70b9\u6240\u5f62\u6210\u76f4\u7ebf\u7684\u6700\u5927\u659c\u7387\u3002<br \/>\n\u5355\u8c03\u961f\u5217\u7ef4\u62a4\u4e0b\u51f8\u58f3\u5373\u53ef\uff08x \u5355\u8c03\uff09\u3002<\/p>\n<pre class=\"brush: cpp; light: false; title: ; toolbar: true; notranslate\" title=\"\">\r\n\/\/}\/* .................................................................................................................................. *\/\r\n\r\nconst int N = int(1e5) + 9;\r\nint s&#x5B;N], q&#x5B;N], cz, op;\r\nint n, k;\r\n\r\nLL det(LL x0, int y0, LL x1, int y1){\r\n    return x0*y1 - x1*y0;\r\n}\r\n\r\nint dett(int p0, int p1, int p2){\r\n    LL t = det(p1-p0, s&#x5B;p1]-s&#x5B;p0], p2-p0, s&#x5B;p2]-s&#x5B;p0]);\r\n    return t &lt; 0 ? -1 : t &gt; 0;\r\n}\r\n\r\n\r\nint main(){\r\n\r\n#ifndef ONLINE_JUDGE\r\n    freopen(&quot;in.txt&quot;, &quot;r&quot;, stdin);\r\n    \/\/freopen(&quot;out.txt&quot;, &quot;w&quot;, stdout);\r\n#endif\r\n\r\n    while (~scanf(&quot;%d %d&quot;, &amp;n, &amp;k)){\r\n        REP_1(i, n) s&#x5B;i] = s&#x5B;i-1] + RD();\r\n\r\n        DB z = 0; cz = 0, op = -1; FOR_1(i, k, n){\r\n            int ii = i-k;\r\n            while (cz &lt; op &amp;&amp; dett(q&#x5B;op-1], q&#x5B;op], ii) &lt;= 0) --op; q&#x5B;++op] = ii;\r\n            while (cz &lt; op &amp;&amp; dett(q&#x5B;cz], q&#x5B;cz+1], i) &gt;= 0) ++cz;\r\n            checkMax(z, (DB)(s&#x5B;i] - s&#x5B;q&#x5B;cz]] ) \/ (i - q&#x5B;cz]));\r\n        }\r\n        OT(z);\r\n    }\r\n}\r\n\r\n<\/pre>\n<p><a href=\"http:\/\/www.cnblogs.com\/Free-rein\/archive\/2012\/08\/09\/2630190.html\">http:\/\/www.cnblogs.com\/Free-rein\/archive\/2012\/08\/09\/2630190.html<\/a><br \/>\n<a href=\"http:\/\/acm.hust.edu.cn\/vjudge\/problem\/viewSource.action?id=2798173\">http:\/\/acm.hust.edu.cn\/vjudge\/problem\/viewSource.action?id=2798173<\/a><\/p>\n","protected":false},"excerpt":{"rendered":"","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":true,"jetpack_social_options":{"image_generator_settings":{"template":"highway","enabled":false}}},"categories":[1],"tags":[],"class_list":["post-988","post","type-post","status-publish","format-standard","hentry","category-uncategorized"],"jetpack_publicize_connections":[],"jetpack_featured_media_url":"","jetpack_shortlink":"https:\/\/wp.me\/p2tdP7-fW","jetpack_sharing_enabled":true,"_links":{"self":[{"href":"https:\/\/www.shuizilong.com\/house\/wp-json\/wp\/v2\/posts\/988","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=988"}],"version-history":[{"count":0,"href":"https:\/\/www.shuizilong.com\/house\/wp-json\/wp\/v2\/posts\/988\/revisions"}],"wp:attachment":[{"href":"https:\/\/www.shuizilong.com\/house\/wp-json\/wp\/v2\/media?parent=988"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.shuizilong.com\/house\/wp-json\/wp\/v2\/categories?post=988"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.shuizilong.com\/house\/wp-json\/wp\/v2\/tags?post=988"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}