{"id":305,"date":"2011-07-17T02:23:54","date_gmt":"2011-07-16T18:23:54","guid":{"rendered":"http:\/\/www.shuizilong.com\/house\/?p=305"},"modified":"2013-09-02T14:09:28","modified_gmt":"2013-09-02T06:09:28","slug":"poj-3468-a-simple-problem-with-integers","status":"publish","type":"post","link":"https:\/\/www.shuizilong.com\/house\/archives\/poj-3468-a-simple-problem-with-integers\/","title":{"rendered":"POJ 3468. A Simple Problem with Integers"},"content":{"rendered":"<h3>Brief description: <\/h3>\n<p>\u533a\u95f4\u4fee\u6539\uff08+-d\uff0c\u533a\u95f4\u6c42\u548c\u7684\u4f8b\u9898\u3002<\/p>\n<p><!--more--><\/p>\n<h3>Analysis: <\/h3>\n<p>\u7565\uff09\u3002\u3002S[x] \u8868\u793a\u548c (Sum \u3002\u3002D[x] \u8868\u793a\u4f5c\u7528\u5728 x \u7ed3\u70b9\u533a\u95f4\u4e0a\u7684\u4fee\u6539\u64cd\u4f5c\uff0c\u5ef6\u8fdf\u4e0b\u653e\u6807\u8bb0\u3002\u3002(Delay<br \/>\n\u3002\u3002\u8fd9\u7c7b\u6807\u8bb0\u53ef\u4ee5\u5728\u6253\u4e0a\u53bb\u7684\u65f6\u5019\u5c31\u5df2\u7ecf\u4f5c\u7528\u5728 S[x] \u4e0a\uff08\u5b8c\u6210\u65f6\u3002\u3002\u3002<br \/>\n\u6216\u8005\u5728\u4e0b\u653e\u4e4b\u540e\u624d\u4f5c\u7528\u5728 S[x] \u4e0a\u3002\u3002\uff08\u672a\u5b8c\u6210\u65f6\u3002\u3002\u3002<\/p>\n<p><a href=\"https:\/\/gist.github.com\/lychees\/6409652#file-segment-tree-1-cpp\">\u3002\u3002\u7ebf\u6bb5\u6811\u3002\u3002(\u5b8c\u6210\u65f6\u6807\u8bb0\u3002\u3002<\/a><br \/>\n<a href=\"https:\/\/gist.github.com\/lychees\/6409652#file-segment-tree-2-cpp\">\u3002\u3002\u7ebf\u6bb5\u6811\u3002\u3002\uff08\u672a\u5b8c\u6210\u65f6\u6807\u8bb0\u3002\u3002<\/a><\/p>\n<p>&#8230; \uff08\u8c8c\u4f3c\u533a\u522b\u4e0d\u5927 ? \u3002\uff08\u3002\u6ce8\u610f\u4f7f\u7528\u5b8c\u6210\u65f6\u6807\u8bb0\u4fee\u6539\u65f6\u5fc5\u987b\u4e0b\u653e\u3002\u3002\u3002<br \/>\n\u3002\u3002\uff08\u5176\u5b9e\u6211\u662f\u6765\u8bb0\u5f55\u5de8\u795e\u7287\u7684\u6811\u72b6\u6570\u7ec4\u65b9\u6cd5\u7684\u3002\u3002\u3002 \/$:Orz \uff09<\/p>\n<pre class=\"brush: cpp; collapse: true; first-line: 1; light: false; title: \u6811\u72b6\u6570\u7ec4.cpp; toolbar: true; notranslate\" title=\"\u6811\u72b6\u6570\u7ec4.cpp\">\r\nconst int N = 100009;\r\n\r\nLL B&#x5B;N], C&#x5B;N];\r\n\/\/ Binary Index Tree\r\nint n, m, a, b, d; char c;\r\n\r\nLL Sum(int x){\r\n    LL s1 = 0, s2 = 0, t = n - x; while (x &lt;= n) s1 += B&#x5B;x], s2 += C&#x5B;x], x += low_bit(x);\r\n    return s1 * t - s2;\r\n}\r\n\r\nvoid Add(int x, int d){\r\n    LL t = (LL) (n - x - 1) * d;\r\n    while (x) B&#x5B;x] += d, C&#x5B;x] += t, x ^= low_bit(x);\r\n}\r\n\r\nLL Sum(int l, int r){\r\n    return Sum(l) - Sum(r+1);\r\n}\r\n\r\nvoid Add(int l, int r, int d){\r\n    Add(r, d), Add(l-1, -d);\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#endif\r\n\r\n    RD(n, m); REP_1(i, n) Add(i, i, RD());\r\n\r\n    DO(m){\r\n        RC(c), RD(a, b);\r\n        if (c == 'C') Add(a, b, RD());\r\n        else OT(Sum(a, b));\r\n    }\r\n}\r\n<\/pre>\n<pre class=\"brush: cpp; collapse: true; first-line: 1; light: false; title: \u6811\u72b6\u6570\u7ec4\u3002\u3002\uff08\u5bf9\u79f0\u5199\u6cd5.cpp; toolbar: true; notranslate\" title=\"\u6811\u72b6\u6570\u7ec4\u3002\u3002\uff08\u5bf9\u79f0\u5199\u6cd5.cpp\">\r\nLL Sum(int x){\r\n    LL s1 = 0, s2 = 0, t = x; while (x) s1 += B&#x5B;x], s2 += C&#x5B;x], x ^= low_bit(x);\r\n    return s1 * t - s2;\r\n}\r\n\r\nvoid Add(int x, int d){\r\n    LL t = (LL) (x - 1) * d;\r\n    while (x &lt;= n) B&#x5B;x] += d, C&#x5B;x] += t, x += low_bit(x);\r\n}\r\n\r\nLL Sum(int l, int r){\r\n    return Sum(r) - Sum(l-1);\r\n}\r\n\r\nvoid Add(int l, int r, int d){\r\n    Add(l, d), Add(r+1, -d);\r\n}\r\n<\/pre>\n<h3>External link: <\/h3>\n<p><a href=\"http:\/\/poj.org\/problem?id=3468\">http:\/\/poj.org\/problem?id=3468<\/a><\/p>\n","protected":false},"excerpt":{"rendered":"<p>Brief description: \u533a\u95f4\u4fee\u6539\uff08+-d\uff0c\u533a\u95f4\u6c42\u548c\u7684\u4f8b\u9898\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":[19],"tags":[],"class_list":["post-305","post","type-post","status-publish","format-standard","hentry","category-poj"],"jetpack_publicize_connections":[],"jetpack_featured_media_url":"","jetpack_shortlink":"https:\/\/wp.me\/p2tdP7-4V","jetpack_sharing_enabled":true,"_links":{"self":[{"href":"https:\/\/www.shuizilong.com\/house\/wp-json\/wp\/v2\/posts\/305","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=305"}],"version-history":[{"count":1,"href":"https:\/\/www.shuizilong.com\/house\/wp-json\/wp\/v2\/posts\/305\/revisions"}],"predecessor-version":[{"id":426,"href":"https:\/\/www.shuizilong.com\/house\/wp-json\/wp\/v2\/posts\/305\/revisions\/426"}],"wp:attachment":[{"href":"https:\/\/www.shuizilong.com\/house\/wp-json\/wp\/v2\/media?parent=305"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.shuizilong.com\/house\/wp-json\/wp\/v2\/categories?post=305"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.shuizilong.com\/house\/wp-json\/wp\/v2\/tags?post=305"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}