{"id":1063,"date":"2014-11-07T03:45:42","date_gmt":"2014-11-06T19:45:42","guid":{"rendered":"http:\/\/www.shuizilong.com\/house\/?p=1063"},"modified":"2014-11-07T06:07:09","modified_gmt":"2014-11-06T22:07:09","slug":"bzoj-2527-poi2011meteors","status":"publish","type":"post","link":"https:\/\/www.shuizilong.com\/house\/archives\/bzoj-2527-poi2011meteors\/","title":{"rendered":"BZOJ 2527. [Poi2011]Meteors"},"content":{"rendered":"

Brief description: <\/h3>\n

\u7ed9\u5b9a\u4e00\u4e2a\u957f\u5ea6\u4e3a M \u7684\u73af\uff0c\u6bcf\u4e2a\u4f4d\u7f6e\u5c5e\u4e8e N \u4e2a\u56fd\u5bb6\u4e4b\u4e00\u3002
\n\u6709 K \u4e2a\u4e8b\u4ef6\u4f9d\u6b21\u8fdb\u884c\u3002\u6bcf\u4e2a\u4e8b\u4ef6\u5f62\u5982 l, r, d<\/code> \u3002
\n\u8868\u793a\u73af\u4e0a\u7684\u4e00\u6bb5\u8fde\u7eed\u533a\u95f4\u4e2d\uff0c\u6bcf\u4e2a\u4f4d\u7f6e\u7684\u6570 +d \u3002\u3002\u3002
\n\u56fd\u5bb6 i \u5e0c\u671b\u81ea\u5df1\u6240\u5c5e\u533a\u57df\u7684\u6570\u7684\u548c >= Pi\u3002\u3002
\n\u8fd4\u56de\u6bcf\u4e2a\u56fd\u5bb6\u8fbe\u5230\u5404\u81ea\u9700\u6c42\u7684\u65f6\u95f4\u3002\u5982\u679c\u8fbe\u4e0d\u5230\u8f93\u51fa NIE\u3002<\/p>\n

<\/p>\n

Analysis: <\/h3>\n

cdq \u5206\u6cbb\u3002\uff09<\/p>\n

\r\nvoid cdq(const VI I, int l, int r)\r\n\/\/ \u8868\u793a\u786e\u5b9a I \u4e2d\u7684\u4e8b\u4ef6\uff0c\u54ea\u4e9b\u5904\u5728 [l, r) \u7684\u5de6\u534a\u533a\u95f4\uff0c\u54ea\u4e9b\u5904\u5728\u53f3\u534a\u533a\u95f4\u3001\u9012\u5f52\u5904\u7406\u3002\r\n\/\/ \u5148\u751f\u6548\u6240\u6709\u5c5e\u4e8e\u5de6\u534a\u8fb9\u7684\u64cd\u4f5c\uff0c\u6b64\u65f6\u53ef\u4ee5\u5224\u65ad\u6bcf\u4e2a\u4e8b\u4ef6\u7684\u5f52\u5c5e\u3002\u3002\r\n\/\/ \u4e4b\u540e\u9700\u8981\u5148\u9012\u5f52\u53f3\u534a\u8fb9\uff0c\u628a\u64cd\u4f5c\u590d\u539f\u540e\u9012\u5f52\u5de6\u534a\u8fb9\u3001\u3001\u5426\u5219\u9700\u8981\u7528\u4e00\u4e2a\u989d\u5916\u7684\u5bb9\u5668\u8bb0\u5f55\u589e\u91cf\u3002\r\n<\/pre>\n
\u3002\u3002\u3002\u5bf9\u65f6\u95f4\u4e8c\u5206\u3002\u3002\u6574\u4f53\u5904\u7406\u8be2\u95ee\u3002\u3002<\/p>\n
\r\n\r\n\r\n\/\/}\/* .................................................................................................................................. *\/\r\n\r\nconst int N = int(3e5) + 9;\r\n\r\nVI L[N]; LL A[N]; int ans[N];\r\nint n, m, k;\r\n\r\nnamespace BIT{\r\n    typedef LL intt;\r\n    intt C[N];\r\n\r\n    void Add(int x, int d){\r\n        for (;x<=n;x+=low_bit(x)) C[x] += d;\r\n    }\r\n    intt Sum(int x){\r\n        intt z = 0; for (;x;x^=low_bit(x)) z += C[x];\r\n        return z;\r\n    }\r\n    void Add(int l, int r, int d){\r\n        Add(l, d); Add(r+1, -d);\r\n    }\r\n    void Init(){\r\n        \/\/fill(C+1, C+n+1, 0);\r\n    }\r\n} \/\/using namespace BIT;\r\n\r\n\r\nstruct Op{\r\n    int l, r, d;\r\n    void in(){\r\n        RD(l, r, d);\r\n    }\r\n    void Add(){\r\n        if (l <= r) BIT::Add(l, r, d);\r\n        else BIT::Add(l, n, d), BIT::Add(1, r, d);\r\n    }\r\n    void Del(){\r\n        if (l <= r) BIT::Add(l, r, -d);\r\n        else BIT::Add(l, n, -d), BIT::Add(1, r, -d);\r\n    }\r\n\r\n} op[N];\r\n\r\n\r\nvoid cdq(const VI I, int l, int r){\r\n\r\n    if (I.empty()) return;\r\n\r\n    if (l + 1 == r){\r\n        ECH(i, I) ans[*i] = l;\r\n    }\r\n    else{\r\n        int m = l + r >> 1;\r\n        FOR(i, l, m) op[i].Add();\r\n\r\n        VI Il, Ir; ECH(i, I){\r\n\r\n            LL a = 0; ECH(ii, L[*i]){\r\n                a += BIT::Sum(*ii);\r\n                if (a >= A[*i]) break;\r\n            }\r\n\r\n            if (a < A[*i]){\r\n                Ir.PB(*i);\r\n            }\r\n            else{\r\n                Il.PB(*i);\r\n            }\r\n        }\r\n\r\n        cdq(Ir, m, r); FOR(i, l, m) op[i].Del();\r\n        cdq(Il, l, m);\r\n    }\r\n}\r\n\r\n\r\nint main(){\r\n\r\n#ifndef ONLINE_JUDGE\r\n    freopen("in.txt", "r", stdin);\r\n    \/\/freopen("out.txt", "w", stdout);\r\n#endif\r\n\r\n    RD(m, n); REP_1(i, n) L[RD()-1].PB(i);\r\n    VI I; REP(i, m) RD(A[i]), I.PB(i);\r\n    RD(k); REP(i, k) op[i].in();\r\n\r\n    cdq(I, 0, k+1);\r\n\r\n    REP(i, m){\r\n        if (ans[i] == k) puts("NIE");\r\n        else OT(ans[i]+1);\r\n    }\r\n}\r\n\r\n<\/pre>\n
http:\/\/www.lydsy.com\/JudgeOnline\/problem.php?id=2527<\/a>
\nhttp:\/\/main.edu.pl\/en\/archive\/oi\/18\/met<\/a><\/p>\n
References: <\/h3>\n
http:\/\/www.cnblogs.com\/zig-zag\/archive\/2013\/04\/29\/3051212.html<\/a><\/p>\n","protected":false},"excerpt":{"rendered":"
Brief description: \u7ed9\u5b9a\u4e00\u4e2a\u957f\u5ea6\u4e3a M \u7684\u73af\uff0c\u6bcf\u4e2a\u4f4d\u7f6e\u5c5e\u4e8e N \u4e2a\u56fd\u5bb6\u4e4b\u4e00\u3002 \u6709 K \u4e2a\u4e8b\u4ef6\u4f9d\u6b21\u8fdb\u884c\u3002\u6bcf\u4e2a\u4e8b\u4ef6\u5f62\u5982 l, r, d \u3002 \u8868\u793a\u73af\u4e0a\u7684\u4e00\u6bb5\u8fde\u7eed\u533a\u95f4\u4e2d\uff0c\u6bcf\u4e2a\u4f4d\u7f6e\u7684\u6570 +d \u3002\u3002\u3002 \u56fd\u5bb6 i \u5e0c\u671b\u81ea\u5df1\u6240\u5c5e\u533a\u57df\u7684\u6570\u7684\u548c >= Pi\u3002\u3002 \u8fd4\u56de\u6bcf\u4e2a\u56fd\u5bb6\u8fbe\u5230\u5404\u81ea\u9700\u6c42\u7684\u65f6\u95f4\u3002\u5982\u679c\u8fbe\u4e0d\u5230\u8f93\u51fa NIE\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":true,"jetpack_social_options":{"image_generator_settings":{"template":"highway","enabled":false}}},"categories":[22],"tags":[134],"class_list":["post-1063","post","type-post","status-publish","format-standard","hentry","category-bzoj","tag-cdq-"],"jetpack_publicize_connections":[],"jetpack_featured_media_url":"","jetpack_shortlink":"https:\/\/wp.me\/p2tdP7-h9","jetpack_sharing_enabled":true,"_links":{"self":[{"href":"https:\/\/www.shuizilong.com\/house\/wp-json\/wp\/v2\/posts\/1063","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=1063"}],"version-history":[{"count":1,"href":"https:\/\/www.shuizilong.com\/house\/wp-json\/wp\/v2\/posts\/1063\/revisions"}],"predecessor-version":[{"id":1066,"href":"https:\/\/www.shuizilong.com\/house\/wp-json\/wp\/v2\/posts\/1063\/revisions\/1066"}],"wp:attachment":[{"href":"https:\/\/www.shuizilong.com\/house\/wp-json\/wp\/v2\/media?parent=1063"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.shuizilong.com\/house\/wp-json\/wp\/v2\/categories?post=1063"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.shuizilong.com\/house\/wp-json\/wp\/v2\/tags?post=1063"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}