{"id":60,"date":"2025-01-11T23:04:43","date_gmt":"2025-01-11T15:04:43","guid":{"rendered":"http:\/\/150.230.63.147\/blog\/?p=60"},"modified":"2025-01-11T23:04:43","modified_gmt":"2025-01-11T15:04:43","slug":"b-nauuo-and-circle-%e8%a7%a3%e6%9e%90%e6%80%9d%e7%b6%ad%e3%80%81dp","status":"publish","type":"post","link":"https:\/\/blog.seekrealthing.net\/blog\/?p=60","title":{"rendered":"B. Nauuo and Circle \u89e3\u6790(\u601d\u7dad\u3001DP)"},"content":{"rendered":"\n

Codeforce 1172 B. Nauuo and Circle \u89e3\u6790(\u601d\u7dad\u3001DP)<\/h1>\n

\u4eca\u5929\u6211\u5011\u4f86\u770b\u770bCF1172B
\n\u984c\u76ee\u9023\u7d50<\/a><\/p>\n

\n

\u984c\u76ee<\/strong>
\n\u7565\uff0c\u8acb\u76f4\u63a5\u770b\u539f\u984c<\/p>\n<\/blockquote>\n

\u524d\u8a00<\/h3>\n

\u7b2c\u4e00\u500b\u8a72\u89c0\u5bdf\u7684\u4e8b\u60c5\u4e00\u76f4\u60f3\u4e0d\u5230\uff0c\u770b\u4e86\u89e3\u7b54\u4e5f\u60f3\u5f88\u4e45\u624d\u77e5\u9053\u70ba\u4ec0\u9ebc\u5c0d\u2026<\/p>\n

\u60f3\u6cd5<\/h3>\n

\u9019\u984c\u7684\u91cd\u9ede\u662f\u8981\u60f3\u5230:\u4e00\u500b\u7bc0\u9ede$u$\u7684\u6240\u6709\u5b50\u7bc0\u9ede\u5b50\u6a39\u5fc5\u9808\u4f54\u64da\u4e00\u6574\u500b\u9023\u7e8c\u7684\u5713\u5f27\uff0c\u5426\u5247\u5982\u679c\u6709\u53e6\u5916\u4e00\u500b\u975e\u5b50\u7bc0\u9ede\u5b50\u6a39\u5728\u9019\u4e9b\u5b50\u7bc0\u9ede\u5b50\u6a39\u4e2d\u9593\uff0c\u90a3\u9ebc\u5fc5\u5b9a\u6709\u53e6\u4e00\u500b\u5728$u$\u9019\u68f5\u5b50\u6a39\u5916\u7684\u9ede\u9023\u63a5\u904e\u4f86\uff0c\u4f46\u662f$u$\u6700\u5c11\u5fc5\u9808\u9023\u63a5\u88ab\u5206\u958b\u7684\u5169\u500b\u5b50\u7bc0\u9ede\u5340\u6bb5\uff0c\u90a3\u9ebc\u4e00\u5b9a\u6703\u6709\u4ea4\u53c9\u3002
\n\u63a5\u4e0b\u4f86\u5c31\u662f\u81ea\u7136\u7684$dp$\u72c0\u614b:$dp[v]$\u4ee3\u8868$v$\u7684\u5b50\u6a39\u7684\u53ef\u80fd\u6027\u6578\u91cf\u3002
\n\u5c0d\u65bc\u4e00\u500b\u7bc0\u9ede$v$\uff0c\u5047\u8a2d\u6211\u5011\u5df2\u7d93\u77e5\u9053\u6240\u6709\u5b50\u7bc0\u9ede\u7684\u89e3\u7b54\uff0c\u5047\u8a2d\u6709$k$\u500b\u5b50\u7bc0\u9ede\uff0c\u90a3\u9ebc\u6709$k$\u500b\u9023\u7e8c\u5340\u6bb5\u6703\u6392\u5217\u5728\u4e00\u500b\u9023\u7e8c\u5340\u6bb5\u4e2d\uff0c\u800c$v$\u9019\u500b\u7bc0\u9ede\u53c8\u53ef\u4ee5\u96a8\u4fbf\u653e\u5728\u4efb\u610f\u5340\u6bb5\u7684\u9593\u9694\u4e2d\u3002(\u6ce8\u610f\uff0c\u8981\u7b97\u6700\u5f8c\u4e00\u500b\u90e8\u4efd\u7684\u9593\u9694\u6578\uff0c\u6839\u7bc0\u9ede\u53ef\u9078\u7684\u5340\u6bb5\u6703\u5f62\u6210\u4e00\u6574\u500b\u5713\uff0c\u800c\u5176\u4ed6\u9ede\u90fd\u53ea\u6709\u4e00\u500b\u975e\u5b8c\u6574\u7684\u5713\u5f27)
\n\u8f49\u79fb\u5f0f(\u5047\u8a2d\u4e0d\u662f\u6839\u7d50\u9ede):$dp[v]=\\prod\\limits_{j\\in son(v)}dp[j]\\times(#{son(v)})!\\times(#{son(v)}+1)$
\n\u8a18\u5f97\u7dad\u8b77$\\mod 998244353$\uff0c\u53ef\u4ee5\u76f4\u63a5\u5168\u90e8\u90fd\u7528$long\\ long$\u904b\u7b97
\n\u968e\u4e58\u53ef\u4ee5\u9810\u5148\u7dad\u8b77\u4e00\u500b\u9663\u5217\u5c31\u597d\u4e86<\/p>\n

\u7a0b\u5f0f\u78bc:<\/h3>\n
const int _n=2e5+10;  \nll t,n,u,v,dp[_n],fac[_n];  \nVI G[_n];  \nvoid dfs(int v,int fa){  \n  if(SZ(G[v])==1 and G[v][0]==fa)dp[v]=1;  \n  ll res=1;  \n  rep(i,0,SZ(G[v]))if(fa!=G[v][i])dfs(G[v][i],v),res*=dp[G[v][i]],res%=mod;  \n  res*=fac[SZ(G[v])],res%=mod;  \n  dp[v]=res;  \n}  \nmain(void) {ios_base::sync_with_stdio(0);cin.tie(0);cout.tie(0);  \n  cin>>n;rep(i,0,n-1){cin>>u>>v;u--,v--;G[u].pb(v),G[v].pb(u);}  \n  fac[0]=1;rep(i,1,n+1)fac[i]=fac[i-1]*i%mod;  \n  dfs(0,-1);cout<<dp[0]*n%mod<<'\\n';  \n  return 0;  \n}  \n<\/code><\/pre>\n
\u6a19\u982d\u3001\u6a21\u677f\u8acb\u9edeSubmission\u770b
\nSubmission<\/a><\/p>\n<\/div>\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_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},"version":2}},"categories":[3],"tags":[10,4,9,8],"class_list":["post-60","post","type-post","status-publish","format-standard","hentry","category-ojcode","tag-codeforce","tag-dp","tag-ojcode","tag-8"],"jetpack_publicize_connections":[],"yoast_head":"\nB. 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