{"id":795,"date":"2013-08-11T02:11:46","date_gmt":"2013-08-10T18:11:46","guid":{"rendered":"http:\/\/www.shuizilong.com\/house\/?p=795"},"modified":"2013-08-31T02:59:58","modified_gmt":"2013-08-30T18:59:58","slug":"srm-585","status":"publish","type":"post","link":"https:\/\/www.shuizilong.com\/house\/archives\/srm-585\/","title":{"rendered":"SRM 585"},"content":{"rendered":"

500. LISNumber<\/h2>\n

Brief description: <\/h3>\n

… \u7ed9\u5b9a 1 \u5230 n \u8fd9\u4e9b\u7c7b\u6570\uff0c\u6bcf\u7c7b\u6570\u5b57\u6709 cardsnum[i] \u4e2a\u3002\u3002
\n\u3002\u3002\u95ee\u8fd9\u4e9b\u6570\u5b57\u6240\u7ec4\u6210\u7684\u591a\u91cd\u96c6\u6392\u5217\u4e2d\u6070\u597d\u6709 K \u4e2a LIS \uff08\u4e25\u683c\uff09\u7684\u6709\u591a\u5c11\u4e2a\u3002\u3002
\n\uff08 n <= 50, cardsnum[i] <= 50, K <= 1300 )\u3002\u3002\n<\/p>\n

Analysis: <\/h3>\n

\u3002\u3002\u3002\u6839\u636e\u6570\u5b57\u5927\u5c0f\u5212\u5206\u9636\u6bb5\uff0c\u4ece\u5c0f\u5230\u5927 DP\u3002\u3002\u3002
\n\u72b6\u6001\u53ea\u4e0e\u6570\u5b57\u7684\u603b\u6570\uff0c\u548c LIS \u7684\u6bb5\u6570\u6709\u5173\u3002\u3002\u800c\u6570\u5b57\u7684\u603b\u6570\u5bb9\u6613\u53d6\u5f97\u3002\u3002\u3002\u6240\u4ee5\u72b6\u6001\u53ea\u9700\u8981\u8bb0\u5f55 LIS \u7684\u6bb5\u6570\u5373\u53ef\u3002
\n. \u8f6c\u79fb\u53ea\u6709\u6bb5\u6570\u52a0\u4e00\u548c\u4e0d\u53d8\u4e24\u79cd\u3002\u3002\u3002\u6bcf\u4e2a\u9636\u6bb5\u3002\u3002\u3002\u9700\u8981\u9010\u4e2a\u679a\u4e3e\u5f53\u524d\u662f\u7b2c\u51e0\u6b21\u4f7f\u7528\u8fd9\u4e2a\u6570\u5b57\u3002\u3002\uff08\u76f8\u540c\u7684\u6570\u5b57\u53ef\u4ee5\u589e\u52a0 LIS \u6bb5\u6570 + 1 \u7684\u673a\u4f1a\u3002\u3002\u3002\uff09\u3002\u3002\u3002
\n\u3002\u3002\u3002\u7136\u540e\u6bcf\u4e2a\u9636\u6bb5\u7ed3\u675f\u540e\u9700\u8981\u9664\u4ee5\u8fd9\u4e2a\u6392\u5217\u3002\u3002\u3002<\/p>\n

\r\n        REP(i, n){\r\n            REP(j, cardsnum[i]){\r\n                ++s; swap(p, q); RST(dp[p]);\r\n                REP(k, min(K+1, s)) if (dp[q][k]){\r\n                    int a = max(0, k - j), b = s - a;\r\n                    dp[p][k] += dp[q][k] * a;\r\n                    dp[p][k+1] += dp[q][k] * b;\r\n                }\r\n            }\r\n \r\n            REP(k, min(K, s)+1) dp[p][k] *= Factt[cardsnum[i]];\r\n        }\r\n<\/pre>\n
1000. EnclosingTriangle<\/h2>\n
Brief description: <\/h3>\n
… \u7ed9\u5b9a\u4e00\u4e2a\u683c\u70b9\u6b63\u65b9\u5f62\u3002\u8fb9\u957f\u4e3a m\u3002\u3002\u3002\u5185\u90e8\u6709\u4e00\u4e9b\u70b9\u3002\u3002\u3002\u8981\u6c42\u5728\u8fb9\u4e0a\uff08\u5305\u62ec\u89d2\u843d\uff09\u9009\u62e9\u4e09\u4e2a\u70b9\u5f62\u6210\u4e00\u4e2a\u53ef\u4ee5\u5305\u56f4\u6240\u6709\u5185\u90e8\u70b9\u7684\u4e09\u89d2\u5f62\u3002\uff08\u53ef\u4ee5\u6070\u597d\u5728\u8fb9\u4e0a\uff09\u3002\u3002
\n\u3002\u3002\u95ee\u5408\u6cd5\u4e09\u89d2\u5f62\u7684\u4e2a\u6570\u3002\u3002\u3002
\n( m<= 58585\u3002\u3002\uff09\n\n\n\n
Analysis: <\/h3>\n
\u3002\u8fd9\u4e2a\u9898\u5728 Div2 \u91cc\u8fb9\u6570\u53d8\u5c0f (50)\u3002\u3002\u4e0d\u80fd\u6709\u5b9a\u70b9\u4f4d\u4e8e\u540c\u4e00\u4fa7\u3002\u3002\u4e5f\u4e0d\u7528\u8003\u8651\u89d2\u843d\u7684\u60c5\u51b5\u3002\u3002\u6240\u4ee5\u8fd9\u8981\u66b4\u529b\u679a\u4e3e\u4e09\u4e2a\u7aef\u70b9\u3002\u3002\u7136\u540e\u53ea\u8981\u4e0d\u662f\u9010\u4e2a\u68c0\u6d4b\u6bcf\u4e2a\u70b9\u662f\u5426\u90fd\u5728\u4e09\u89d2\u5f62\u5185\u90e8\u90fd\u53ef\u4ee5\u8fc7\u3002\u3002\u3002\u3002<\/p>\n
\u3002\u3002\u3002\u5f53\u6211\u4eec\u628a\u6bcf\u6761\u8fb9\u5206\u5f00\u6765\u8003\u8651\u3002\u3002\u5c31\u8981\u6c42\u3002\u3002\u5c31\u662f\u6240\u6709\u9ed1\u70b9\u90fd\u5904\u5728\u8fd9\u6761\u8fb9\u7684\u987a\u65f6\u9488\u4e00\u4fa7\u3002\u3002\u3002
\n\u3002\u3002\u6211\u4eec\u628a\u56db\u4fa7\u8fb9\u754c\u4e0a\u7684\u70b9\u6309\u7167\u987a\u5e8f\u4f9d\u6b21\u6392\u5f00\u3002\u3002\u7528 mp[i] \u8bb0\u5f55\u6bcf\u4e2a\u70b9\u6700\u8fdc\u53ef\u4ee5\u8fde\u7684\u4f4d\u7f6e\u3002\u3002\u3002\u8fd9\u4e00\u6b65\u53ef\u4ee5 two-point\u3002<\/p>\n
\r\n                int ii = 1; REP(i, n){\r\n\t\t    checkMax(ii, next_side(i) + 1); while (1){\r\n                        int j; REP_N(j, SZ(x)) if (dett(P[i], P[ii%n], Po(x[j], y[j])) > 0) break;\r\n                        if (j == SZ(x)) ++ii; else break;\r\n\t\t    }\r\n\t\t    mp[i] = ii--;\r\n\t\t}\r\n<\/pre>\n
\u6211\u4eec\u8bbe\u4e09\u89d2\u578b\u7684\u4e09\u4e2a\u70b9\u4f9d\u6b21\u662f a, b, c\u3002\u3002\u3002\u90a3\u4e48\u5173\u952e\u7684\u4e00\u6b65\u5c31\u662f\u5bf9\u4e8e\u6bcf\u4e2a a \u3002\u3002\u6211\u4eec\u5904\u7406\u51fa max_b \u548c min_c\u3002\u3002\u3002\u90a3\u4e48\u5bf9\u4e8e\u5176\u4ed6\u6240\u6709 b\u3002\u3002\u7b54\u6848\u5c31\u662f\u3002\u3002mp[b] – min_c + 1\u3002\u3002\u3002
\n\u3002\u3002\u6ce8\u610f\u53ea\u6709\u6b63\u503c\u7684\u65f6\u5019\u6211\u4eec\u624d\u8ba1\u6570\u3002\u3002\u3002<\/p>\n
\u4e8e\u662f\u6211\u4eec\u9700\u8981\u4e00\u4e2a\u6570\u636e\u7ed3\u6784\u3002\u3002\u6765\u652f\u6301\u3002\u3002<\/p>\n
\u3002\u3002\u5728\u5c3e\u90e8\u63d2\u5165\u4e00\u9879 (b, mp[b])\u3002\u3002
\n\u3002\u3002\u6240\u6709\u9879\u76ee -1\u3002\u3002\uff08min_c \u5411\u524d\u79fb\u52a8\u3002\uff09\u3002\u3002
\n\u3002\u3002\u5220\u9664\u961f\u5217\u524d\u9762\u6240\u6709\u8d1f\u503c\u9879\u3002\u3002\u3002\u3002<\/p>\n
\u3002\u3002\u3002\u6211\u4eec\u53d1\u73b0\u4e00\u4e2a\u5e26 offset \u7684\u961f\u5217\u5c31\u53ef\u4ee5\u5b8c\u6210\u6240\u9700\u4e86\u3002\u3002\u3002<\/p>\n
External link: <\/h3>\n
https:\/\/apps.topcoder.com\/wiki\/display\/tc\/SRM+585<\/a>
\nhttps:\/\/gist.github.com\/lychees\/6197012<\/a><\/p>\n","protected":false},"excerpt":{"rendered":"
500. LISNumber Brief description: … \u7ed9\u5b9a 1 \u5230 n \u8fd9\u4e9b\u7c7b\u6570\uff0c\u6bcf\u7c7b\u6570\u5b57\u6709 cardsnum[i] \u4e2a\u3002\u3002 \u3002\u3002\u95ee\u8fd9\u4e9b\u6570\u5b57\u6240\u7ec4\u6210\u7684\u591a\u91cd\u96c6\u6392\u5217\u4e2d\u6070\u597d\u6709 K \u4e2a LIS \uff08\u4e25\u683c\uff09\u7684\u6709\u591a\u5c11\u4e2a\u3002\u3002 \uff08 n<\/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":true,"jetpack_social_options":{"image_generator_settings":{"template":"highway","enabled":false}}},"categories":[17],"tags":[],"class_list":["post-795","post","type-post","status-publish","format-standard","hentry","category-topcoder"],"jetpack_publicize_connections":[],"jetpack_featured_media_url":"","jetpack_shortlink":"https:\/\/wp.me\/p2tdP7-cP","jetpack_sharing_enabled":true,"_links":{"self":[{"href":"https:\/\/www.shuizilong.com\/house\/wp-json\/wp\/v2\/posts\/795","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=795"}],"version-history":[{"count":1,"href":"https:\/\/www.shuizilong.com\/house\/wp-json\/wp\/v2\/posts\/795\/revisions"}],"predecessor-version":[{"id":797,"href":"https:\/\/www.shuizilong.com\/house\/wp-json\/wp\/v2\/posts\/795\/revisions\/797"}],"wp:attachment":[{"href":"https:\/\/www.shuizilong.com\/house\/wp-json\/wp\/v2\/media?parent=795"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.shuizilong.com\/house\/wp-json\/wp\/v2\/categories?post=795"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.shuizilong.com\/house\/wp-json\/wp\/v2\/tags?post=795"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}