{"id":78,"date":"2025-01-11T23:14:58","date_gmt":"2025-01-11T15:14:58","guid":{"rendered":"http:\/\/150.230.63.147\/blog\/?p=78"},"modified":"2025-01-11T23:14:58","modified_gmt":"2025-01-11T15:14:58","slug":"d-equalize-the-remainders-%e8%a7%a3%e6%9e%90%e6%80%9d%e7%b6%ad","status":"publish","type":"post","link":"https:\/\/blog.seekrealthing.net\/blog\/?p=78","title":{"rendered":"D. Equalize the Remainders \u89e3\u6790(\u601d\u7dad)"},"content":{"rendered":"\n

Codeforce 999 D. Equalize the Remainders \u89e3\u6790(\u601d\u7dad)<\/h1>\n

\u4eca\u5929\u6211\u5011\u4f86\u770b\u770bCF999D
\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

\u611f\u89ba\u8981\u641e\u500b\u985e\u4f3c$stack$\u7684\u6771\u897f\u4f86\u5132\u5b58\u4e0b\u4e00\u500b\u6c92\u6eff\u7684$\\mod m$\u662f\u54ea\u4e00\u500b\u624d\u80fd\u907f\u514d$O(m^2)$\u7684\u8907\u96dc\u5ea6\uff0c\u6c92\u60f3\u5230\u53cd\u904e\u4f86\u60f3\uff0c\u5132\u5b58\u524d\u4e00\u500b\u6eff\u51fa\u4f86\u7684\u662f\u4ec0\u9ebc\u5c31\u53ef\u4ee5\u4e86\u3002<\/p>\n

\u60f3\u6cd5<\/h3>\n

\u9996\u5148\u53ef\u80fd\u6703\u60f3\u5230\uff0c\u5148\u628a\u6bcf\u500b$mod$\u503c\u90fd\u5132\u5b58\u5230\u4e00\u500b$vector<int> as[_n]$\u88e1\uff0c\u7136\u5f8c\u5f9e$mod=0$\u958b\u59cb\u4e00\u76f4\u5230$mod=m-1$\uff0c\u5982\u679c\u7576\u524d$mod$\u7684\u6578\u5b57\u592a\u591a\uff0c\u90a3\u5c31\u627e\u6700\u8fd1\u7684\u4e0b\u4e00\u500b<\/strong>$mod$\u9084\u6c92\u6eff\u7684\u503c\u586b\u88dc\u4e0a\u53bb\u3002\u7136\u800c\u9019\u6a23\u7684\u8907\u96dc\u5ea6\u8981$O(m^2)$\u3002
\n\u6211\u4e00\u958b\u59cb\u662f\u60f3\u8aaa\u770b\u600e\u9ebc\u6a23\u80fd\u5229\u7528\u985e\u4f3c$stack$\u7684\u7d50\u69cb\uff0c\u53bb$O(1)$\u627e\u5230\u5c0d\u65bc\u67d0\u500b$mod=i$\u4f86\u8aaa\u7684\u4e0b\u4e00\u500b\u9084\u6c92\u6eff\u7684$mod$\u503c\uff0c\u4f46\u662f\u5176\u5be6\u5982\u679c\u53cd\u904e\u4f86\u60f3\uff0c\u6bcf\u6b21\u5982\u679c\u6709\u591a\u51fa\u4f86\u7684$mod$\u503c\uff0c\u5c31\u5148$push_back$\u5230\u4e00\u500b$vector$\u88e1\uff0c\u90a3\u9ebc\u7e7c\u7e8c\u904d\u6b77$i=0\\sim m-1$\uff0c\u7576\u767c\u73fe\u4e00\u500b\u9084\u6c92\u6eff\u7684$mod$\u503c\u6642\uff0c$vector$\u672b\u7aef\u7684\u5143\u7d20\u4e00\u5b9a\u662f\u9760\u7576\u524d$i$\u6700\u8fd1\u7684\u3002
\n\u7136\u800c\u6703\u767c\u73fe\u7576\u524d\u672a\u6eff\u7684$mod=i$\u6709\u53ef\u80fd\u9700\u8981\u5f8c\u9762\u7684$mod>i$\u4f86\u586b\u88dc\uff0c\u65bc\u662f\u6211\u5011\u904d\u6b77$i$\u6642\u4e0d\u8981\u53ea\u5230$m-1$\uff0c\u800c\u662f\u8b93$i=0\\sim 2m-1$\uff0c\u5982\u6b64\u4e00\u4f86\u554f\u984c\u5c31\u89e3\u6c7a\u4e86\u3002<\/p>\n

\u7a0b\u5f0f\u78bc:<\/h3>\n
const int _n=2e5+10;  \nll t,tt,n,m,mm,k,ii,a[_n],cnt;  \nVI as[_n],free;  \nmain(void) {ios_base::sync_with_stdio(0);cin.tie(0);cout.tie(0);  \n  cin>>n>>m;mm=m*2,k=n\/m;rep(i,0,n){cin>>a[i];as[a[i]%m].pb(i);}  \n  rep(i,0,mm){  \n    ii=i%m;  \n    if(SZ(as[ii])>k){  \n      t=SZ(as[ii])-k;  \n      rep(j,0,t)free.pb(as[ii][j]);  \n    }  \n    if(SZ(as[ii])<k){  \n      t=min(SZ(free),k-SZ(as[ii]));  \n      rep(j,SZ(free)-t,SZ(free)){  \n        tt=a[free[j]]%m;if(tt>ii)tt-=m;  \n        a[free[j]]+=ii-tt,cnt+=ii-tt;  \n      }free.erase(free.end()-t,free.end());  \n    }  \n  }  \n  cout<<cnt<<'\\n';  \n  rep(i,0,n)cout<<a[i]<<' '; cout<<'\\n';  \n  return 0;  \n}  \n<\/code><\/pre>\n
$free$\u9019\u500b$vector$\u540d\u7a31\u5df2\u7d93\u5b58\u5728\u4e86\uff0c\u9700\u8981$#define\\ free\\ [\u96a8\u4fbf\u4e00\u500b\u5b57\u4e32]$
\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-78","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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