{"id":2855,"date":"2023-05-19T22:13:37","date_gmt":"2023-05-19T14:13:37","guid":{"rendered":"https:\/\/www.shuizilong.com\/house\/?p=2855"},"modified":"2023-05-20T02:21:49","modified_gmt":"2023-05-19T18:21:49","slug":"luogu-p6295-%e6%9c%89%e6%a0%87%e5%8f%b7-dag-%e8%ae%a1%e6%95%b0","status":"publish","type":"post","link":"https:\/\/www.shuizilong.com\/house\/archives\/luogu-p6295-%e6%9c%89%e6%a0%87%e5%8f%b7-dag-%e8%ae%a1%e6%95%b0\/","title":{"rendered":"Luogu P6295. \u6709\u6807\u53f7 DAG \u8ba1\u6570"},"content":{"rendered":"

\u5bf9\u4e8e\u6709\u6807\u53f7\u56fe\uff0c\u5047\u8bbe\u6211\u4eec\u5f97\u5230\u4e86\u4e0d\u8fde\u901a\u60c5\u51b5\u4e0b\u7684 EGF\uff0c\u90a3\u4e48\u6c42\u5bf9\u5e94\u7684\u8fde\u901a\u56fe\u6709\u5e38\u89c1\u5957\u8def\uff08\u53ef\u53c2\u89c1 \u57ce\u5e02\u89c4\u5212\u90a3\u4e2a\u9898<\/a> \u548c \u8352\u6f20\u90a3\u4e2a\u9898<\/a>\uff09\u3002<\/p>\n

\u56e0\u800c\u95ee\u9898\u8f6c\u6362\u4e3a\u4e0d\u8fde\u901a\u7684\u60c5\u51b5\uff0c\u4e5f\u5c31\u662f \u4e0a\u4e00\u9898<\/a>\u3002<\/p>\n

\u6211\u4eec\u9700\u8981\u5148\u60f3\u529e\u6cd5\u6784\u9020\u5377\u79ef\u3002<\/p>\n

(1) <\/span>   <\/span>\"\begin{align*}<\/p>\n

\u8fd9\u91cc\u9700\u8981\u7528\u4e00\u4e9b trick\uff0c\u6700\u540e\u5f97\u5230\u3002<\/p>\n

(2) <\/span>   <\/span>\"\begin{align*}<\/p>\n

\r\n#include <lastweapon\/poly>\r\n#include <lastweapon\/number>\r\nusing namespace lastweapon;\r\n\r\nLL C2(LL n) {\r\n    return n*(n-1)\/2;\r\n}\r\n\r\nint main() {\r\n#ifndef ONLINE_JUDGE\r\n    \/\/freopen("in.txt", "r", stdin);\r\n#endif\r\n    int n; RD(n)++;\r\n\r\n    Poly F(n); Mint i2 = invFac[2];\r\n\r\n    FOR(i, 1, n) {\r\n        F[i] = invFac[i] * pow(i2, C2(i));\r\n        if (i&1) F[i] = -F[i];\r\n    }\r\n\r\n    F[0] += 1; F = F.inv(n);\r\n    REP_1(i, n) F[i] *= pow(Mint(2), C2(i));\r\n    F = F.log(n);\r\n\r\n    --n;\r\n    REP_1(i, n) {\r\n        cout << F[i] * fac[i] << endl;\r\n    }\r\n}\r\n\r\n<\/pre>\n","protected":false},"excerpt":{"rendered":"
\u5bf9\u4e8e\u6709\u6807\u53f7\u56fe\uff0c\u5047\u8bbe\u6211\u4eec\u5f97\u5230\u4e86\u4e0d\u8fde\u901a\u60c5\u51b5\u4e0b\u7684 EGF\uff0c\u90a3\u4e48\u6c42\u5bf9\u5e94\u7684\u8fde\u901a\u56fe\u6709\u5e38\u89c1\u5957\u8def\uff08\u53ef\u53c2\u89c1 \u57ce\u5e02\u89c4\u5212\u90a3\u4e2a\u9898 \u548c \u8352\u6f20\u90a3\u4e2a\u9898\uff09\u3002 \u56e0\u800c\u95ee\u9898\u8f6c\u6362\u4e3a\u4e0d\u8fde\u901a\u7684\u60c5\u51b5\uff0c\u4e5f\u5c31\u662f \u4e0a\u4e00\u9898\u3002 \u6211\u4eec\u9700\u8981\u5148\u60f3\u529e\u6cd5\u6784\u9020\u5377\u79ef\u3002 (1)   \u8fd9\u91cc\u9700\u8981\u7528\u4e00\u4e9b trick\uff0c\u6700\u540e\u5f97\u5230\u3002 (2)   #include <lastweapon\/poly> #include <lastweapon\/number> using namespace lastweapon; LL C2(LL n) { return n*(n-1)\/2; } int main() { #ifndef ONLINE_JUDGE \/\/freopen("in.txt", "r", stdin); #endif int n; RD(n)++; Poly F(n); Mint i2 = invFac[2]; FOR(i, 1, n) { F[i] = invFac[i] * pow(i2, […]<\/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":[1],"tags":[],"class_list":["post-2855","post","type-post","status-publish","format-standard","hentry","category-uncategorized"],"jetpack_publicize_connections":[],"jetpack_featured_media_url":"","jetpack_shortlink":"https:\/\/wp.me\/p2tdP7-K3","jetpack_sharing_enabled":true,"_links":{"self":[{"href":"https:\/\/www.shuizilong.com\/house\/wp-json\/wp\/v2\/posts\/2855","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=2855"}],"version-history":[{"count":14,"href":"https:\/\/www.shuizilong.com\/house\/wp-json\/wp\/v2\/posts\/2855\/revisions"}],"predecessor-version":[{"id":2869,"href":"https:\/\/www.shuizilong.com\/house\/wp-json\/wp\/v2\/posts\/2855\/revisions\/2869"}],"wp:attachment":[{"href":"https:\/\/www.shuizilong.com\/house\/wp-json\/wp\/v2\/media?parent=2855"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.shuizilong.com\/house\/wp-json\/wp\/v2\/categories?post=2855"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.shuizilong.com\/house\/wp-json\/wp\/v2\/tags?post=2855"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}