{"id":98,"date":"2025-01-11T23:27:25","date_gmt":"2025-01-11T15:27:25","guid":{"rendered":"http:\/\/150.230.63.147\/blog\/?p=98"},"modified":"2025-01-11T23:27:25","modified_gmt":"2025-01-11T15:27:25","slug":"e-enemy-is-weak-%e8%a7%a3%e6%9e%90%e6%80%9d%e7%b6%ad%e3%80%81%e9%9b%a2%e6%95%a3%e5%8c%96%e3%80%81bit%e3%80%81%e7%b7%9a%e6%ae%b5%e6%a8%b9","status":"publish","type":"post","link":"https:\/\/blog.seekrealthing.net\/blog\/?p=98","title":{"rendered":"E. Enemy is weak \u89e3\u6790(\u601d\u7dad\u3001\u96e2\u6563\u5316\u3001BIT\u3001\u7dda\u6bb5\u6a39)"},"content":{"rendered":"\n

Codeforce 61 E. Enemy is weak \u89e3\u6790(\u601d\u7dad\u3001\u96e2\u6563\u5316\u3001BIT\u3001\u7dda\u6bb5\u6a39)<\/h1>\n

\u4eca\u5929\u6211\u5011\u4f86\u770b\u770bCF61E
\n\u984c\u76ee\u9023\u7d50<\/a><\/p>\n

\n

\u984c\u76ee<\/strong>
\n\u7d66\u4e00\u500b\u6578\u5217$a$\uff0c\u6c42\u6709\u591a\u5c11$(i,j,k)$\uff0c$i<j<k$\uff0c\u4f7f\u5f97$a[i]>a[j]>a[k]$<\/p>\n<\/blockquote>\n

\u524d\u8a00<\/h3>\n

\u5b78\u5230BIT\u7684\u65b0\u7528\u6cd5<\/p>\n

\u60f3\u6cd5<\/h3>\n

\u9996\u5148\u53ef\u80fd\u6703\u60f3\u5230\u8981\u679a\u8209$j$\uff0c\u800c\u6211\u5011\u53ea\u8981\u77e5\u9053$a[j]$\u524d\u6709\u591a\u5c11\u6bd4\u8f03\u5927\u7684\u5143\u7d20\uff0c$a[j]$\u5f8c\u6709\u591a\u5c11\u6bd4\u8f03\u5c11\u7684\u5143\u7d20\u5c31\u597d\u3002
\n\u55ae\u8abf\u68e7\u53ea\u80fd\u5f97\u5230\u4e00\u500b\u5143\u7d20\u7684\u4f4d\u7f6e\uff0c\u4f3c\u4e4e\u7528\u4e0d\u4e86\u3002\u800c\u65e2\u7136\u6211\u5011\u53ea\u9700\u8981\u77e5\u9053\u6709\u591a\u5c11\u5143\u7d20\u800c\u4e0d\u9700\u8981\u77e5\u9053\u7cbe\u78ba\u4f4d\u7f6e\uff0c\u6211\u5011\u53ef\u80fd\u6703\u60f3\u5230\u8981\u7dad\u8b77\u6bcf\u500b\u6578\u5b57\u51fa\u73fe\u904e\u7684\u6b21\u6578\uff0c\u800c$\\sum\\limits_{k>a[j]}cnt[k]$\u5c31\u662f$a[j]$\u5de6\u908a\u6bd4\u8f03\u5927\u7684\u6578\u5b57\u7684\u6578\u91cf\u4e86\u3002
\n\u800c\u7dad\u8b77\u524d\u7db4\u548c\u81ea\u7136\u6703\u4f7f\u7528BIT\u6216\u7dda\u6bb5\u6a39\u4e86\u3002
\n\u7576\u7136\u7531\u65bc$a[i]\\le1e9$\uff0c\u6211\u5011\u9700\u8981\u628a$a$\u8907\u88fd\u5230\u65b0\u6578\u5217\u4e2d\uff0c\u4e26\u4e14\u6392\u5e8f\uff0c\u5982\u6b64\u4e00\u4f86\u6211\u5011\u5c31\u53ef\u4ee5\u628a$a[i]$\u91cd\u65b0\u7de8\u865f\u5230\u7bc4\u570d$[1,n]$\u88e1\uff0c\u800c\u9700\u8981\u5f97\u77e5\u9019\u500b\u65b0\u7de8\u865f\uff0c\u53ef\u4ee5\u76f4\u63a5$upper_bound$(\u8a73\u898bcode)\u3002<\/p>\n

\u7a0b\u5f0f\u78bc:<\/h3>\n
const int _n=1e6+10;  \nint t,tt,n,a[_n],l[_n],r[_n];  \nVI Li;  \nll ans;  \nnamespace BIT{  \n  int nn;ll t[_n];  \n  void update(int x){while(x<=nn)t[x]++,x+=(x&-x);}  \n  ll query(int x){ll res=0;while(x>0){res+=t[x],x-=(x&-x);}return res;}  \n  void init(int n_){nn=n_;}  \n  void clear(){rep(i,0,nn+1)t[i]=0;}  \n}  \nmain(void) {cin.tie(0);ios_base::sync_with_stdio(0);  \n  cin>>n;rep(i,1,n+1){cin>>a[i];Li.pb(a[i]);} sort(all(Li));BIT::init(n);  \n  per(i,1,n+1){  \n    t=upper_bound(all(Li),a[i])-Li.begin();  \n    r[i]=BIT::query(t-1),BIT::update(t);  \n  }BIT::clear();  \n  rep(i,1,n+1){  \n    t=n-(upper_bound(all(Li),a[i])-Li.begin())+1;  \n    l[i]=BIT::query(t-1),BIT::update(t);  \n  }rep(i,1,n+1)ans+=1ll*l[i]*r[i];  \n  cout<<ans<<'\\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":[34,10,9,8,20,33],"class_list":["post-98","post","type-post","status-publish","format-standard","hentry","category-ojcode","tag-bit","tag-codeforce","tag-ojcode","tag-8","tag-20","tag-33"],"jetpack_publicize_connections":[],"yoast_head":"\nE. 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