{"id":74,"date":"2025-01-11T23:12:59","date_gmt":"2025-01-11T15:12:59","guid":{"rendered":"http:\/\/150.230.63.147\/blog\/?p=74"},"modified":"2025-01-11T23:12:59","modified_gmt":"2025-01-11T15:12:59","slug":"d-generating-sets-%e8%a7%a3%e6%9e%90%e6%80%9d%e7%b6%ad","status":"publish","type":"post","link":"https:\/\/blog.seekrealthing.net\/blog\/?p=74","title":{"rendered":"D. Generating Sets \u89e3\u6790(\u601d\u7dad)"},"content":{"rendered":"\n

Codeforce 722 D. Generating Sets \u89e3\u6790(\u601d\u7dad)<\/h1>\n

\u4eca\u5929\u6211\u5011\u4f86\u770b\u770bCF722D
\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

\u771f\u7684\u662f\u6c92\u60f3\u5230\u2026<\/p>\n

\u60f3\u6cd5<\/h3>\n

\u89c0\u5bdf\u5230\uff0c$x\\times2,x\\times2+1$\u9019\u5169\u500b\u904b\u7b97\u53cd\u904e\u4f86\u770b\u5c31\u662f\u628a\u4efb\u4e00\u500b\u6578\u5b57\u9664\u4ee5$2$(\u56e0\u70ba\u6574\u6578\u578b\u5225\u6703\u81ea\u52d5\u6368\u53bb\u5c0f\u6578\u9ede\uff0c\u6240\u4ee5\u6574\u6578\u578b\u5225\u7684$\\frac{x}{2}=\\lfloor\\frac{x}{2}\\rfloor$)\uff0c\u90a3\u9ebc\u6211\u5011\u53ef\u4ee5\u5617\u8a66\u5f9e\u539f\u6578\u5217$y$\u627e\u5230$generating\\ set$\u3002
\n\u6bcf\u6b21\u5c0b\u627e\u76ee\u524d$y$\u6578\u5217\u4e2d\u6700\u5927\u7684\u6578\u5b57$y[i]$\uff0c\u4e26\u4e14\u5617\u8a66\u9664\u4ee5$2$\uff0c\u76f4\u5230\u6578\u5b57\u4e0d\u518d$>0$(\u984c\u76ee\u8981\u6c42\u8981\u662fpositive integer)\uff0c\u627e\u5230\u4e00\u500b\u76ee\u524d\u6c92\u6709\u51fa\u73fe\u5728\u6578\u5217\u4e2d\u7684\u6578\u5b57\u5c31\u5148\u628a$y[i]$\u8a2d\u5b9a\u6210\u90a3\u500b\u6578\u5b57\u3002
\n\u4e0d\u65b7\u91cd\u8907\uff0c\u76f4\u5230\u6700\u5927\u7684\u6578\u5b57\u6c92\u6709\u8fa6\u6cd5\u518d\u88ab\u6e1b\u5c0f\u3002
\n\u4e4b\u6240\u4ee5\u53ef\u4ee5\u9019\u9ebc\u505a\u662f\u56e0\u70ba\uff0c\u9996\u5148\u6211\u5011\u7576\u7136\u60f3\u8981\u628a\u6700\u5927\u7684\u6578\u5b57\u6e1b\u5c0f\uff0c\u800c\u53ef\u884c\u7684\u6578\u5b57\u5c31\u662f\u4e0d\u65b7\u9664\u4ee5$2$\u7684\u90a3\u4e9b\u6578\u5b57\u3002\u800c\u9078\u64c7\u4e0d\u65b7\u9664$2$\u4e0b\u4f86\u6700\u5927\u7684\u53ef\u884c\u7684\u6578\u5b57\u662f\u56e0\u70ba\u9019\u662f\u6700\u4fdd\u5b88\u7684\u628a$maximum$\u964d\u4e0b\u4f86\u7684\u65b9\u6cd5\u3002
\n\u5be6\u4f5c\u65b9\u9762\u53ef\u4ee5\u5229\u7528$std::set$\u7684$iterator$\u662f\u6709\u5e8f\u6392\u5217\u7684\u7279\u6027\uff0c\u6216\u8005\u53ef\u4ee5\u7528$priority_queue$\u4f86\u53d6\u51fa\u76ee\u524d\u6578\u5217\u4e2d\u6700\u5927\u7684\u6578\u5b57\u3002<\/p>\n

\u7a0b\u5f0f\u78bc:<\/h3>\n
const int _n=5e4+10;  \nint t,n,y[_n];  \nVI ans;  \nset<int> vis;  \nset<int,greater<int>> mx;  \nmain(void) {ios_base::sync_with_stdio(0);cin.tie(0);cout.tie(0);  \n  cin>>n;rep(i,0,n){cin>>y[i];mx.insert(y[i]);vis.insert(y[i]);}  \n  while(1){  \n    bool bk=1;  \n    int now=(*mx.begin());  \n    while((now=now\/2)>0){  \n      if(!vis.count(now)){  \n        mx.erase(mx.begin());mx.insert(now),bk=0,vis.insert(now);break;  \n      }  \n    }  \n    if(bk)break;  \n  }for(auto it=mx.begin();it!=mx.end();it++)cout<<*it<<' '; cout<<'\\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":[10,9,8],"class_list":["post-74","post","type-post","status-publish","format-standard","hentry","category-ojcode","tag-codeforce","tag-ojcode","tag-8"],"jetpack_publicize_connections":[],"yoast_head":"\nD. 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