{"id":43,"date":"2025-01-11T22:48:01","date_gmt":"2025-01-11T14:48:01","guid":{"rendered":"http:\/\/150.230.63.147\/blog\/?p=43"},"modified":"2025-01-11T22:48:01","modified_gmt":"2025-01-11T14:48:01","slug":"d-kilani-and-the-game-%e8%a7%a3%e6%9e%90%e8%a3%b8bfs%e3%80%81%e5%af%a6%e4%bd%9c","status":"publish","type":"post","link":"https:\/\/blog.seekrealthing.net\/blog\/?p=43","title":{"rendered":"D. Kilani and the Game \u89e3\u6790(\u88f8BFS\u3001\u5be6\u4f5c)"},"content":{"rendered":"\n

Codeforce 1105 D. Kilani and the Game \u89e3\u6790(\u88f8BFS\u3001\u5be6\u4f5c)<\/h1>\n

\u4eca\u5929\u6211\u5011\u4f86\u770b\u770bCF1105D
\n\u984c\u76ee\u9023\u7d50<\/a><\/p>\n

\n

\u984c\u76ee<\/strong>
\n\u7d66\u4e00\u500b$n\\times m$\u7684\u5730\u5716\uff0c\u5730\u5716\u4e0a\u6709\u5e7e\u7a2e\u683c\u5b50:\u7a7a\u5730\u3001\u8def\u969c\u3001\u67d0\u500b\u73a9\u5bb6\u7684\u67d0\u4e9b\u57ce\u5821\u3002(\u53ef\u80fd\u6709$1\\le p\\le9$\u500b\u73a9\u5bb6)
\n\u7d66\u5b9a\u4e00\u958b\u59cb\u6bcf\u500b\u73a9\u5bb6\u81f3\u5c11\u6709\u4e00\u500b\u57ce\u5821\uff0c\u73a9\u5bb6\u7167\u9806\u5e8f\u79fb\u52d5\uff0c\u6bcf\u500b\u73a9\u5bb6\u6709\u81ea\u5df1\u7684\u79fb\u52d5\u6b65\u6578\uff0c\u6c42\u6700\u5f8c\u6bcf\u500b\u73a9\u5bb6\u80fd\u6709\u5e7e\u500b\u57ce\u5821\u3002<\/p>\n<\/blockquote>\n

\u524d\u8a00<\/h3>\n

\u5beb\u9019\u984c\u4e00\u76f4TLE\uff0c\u641e\u4e86\u597d\u5e7e\u500b\u5c0f\u6642\u624d\u767c\u73fe\u5982\u679c\u6bcf\u6b21BFS\u90fd\u5ba3\u544a\u4e00\u500b\u65b0\u7684queue\uff0c\u90a3\u9ebc\u53ef\u80fd\u6703\u56e0\u70baallocation\u7684cost\u592a\u5927\u800cTLE\uff0c\u4e26\u4e14\u9084\u6709\u4e00\u4e9b\u5176\u4ed6\u7684\u5947\u602a\u554f\u984c(\u6b64\u8655\u4e0d\u63d0)\u3002\u7e3d\u4e4b\uff0c\u6211\u5011\u61c9\u8a72\u6975\u529b\u907f\u514d\u983b\u7e41declare queue\u3002<\/p>\n

\u60f3\u6cd5<\/h3>\n

\u986f\u7136\u5c31\u662fBFS\uff0c\u4f46\u662f\u5be6\u4f5c\u4e0a\u8981\u6ce8\u610f:queue\u4e2d\u5b58\u7684\u662f${vertex,\u5269\u4e0b\u7684\u6b65\u6578}$\uff0c\u7531\u65bc\u6211\u5011\u6bcf\u56de\u5408\u958b\u59cb\u7684\u6642\u5019\uff0c\u4e00\u5b9a\u6703\u6709\u4e00\u4e9b\u9ede\u5728queue\u88e1(\u4e0a\u56de\u5408\u907a\u7559\u4e0b\u4f86\u7684\uff0c\u5be6\u4f5c\u4e0a\u6211\u5011\u6bcf\u56de\u5408\u7d50\u675f\u6642\u628a\u6c92\u6709\u79fb\u52d5\u6b65\u6578\u7684\u683c\u5b50\u653e\u5165\u5168\u57df\u8b8a\u6578\u7b49\u4e0b\u56de\u5408push\u9032queue\u88e1)\uff0c\u6211\u5011\u8981\u540c\u6642\u9632\u6b62\u5176\u4ed6\u73a9\u5bb6\u8d70\u5230\u9019\u4e00\u9ede\uff0c\u53c8\u8981\u8b93\u64c1\u6709\u9019\u500b\u683c\u5b50\u7684\u73a9\u5bb6\u5728\u81ea\u5df1\u7684\u56de\u5408\u6642\u4e0d\u6703\u5224\u65b7\u9019\u500b\u683c\u5b50\u4e0d\u80fd\u8d70\uff0c\u6211\u5011\u6709\u5169\u7a2e\u5be6\u4f5c\u65b9\u5f0f:<\/p>\n

    \n
  1. \u5728push\u5165\u65b0\u683c\u5b50\u9032queue\u4e4b\u524d\u5148\u628a\u683c\u5b50\u6a19\u793a\u70ba$visited$\uff0cBFS\u5f9e\u65b0\u683c\u5b50\u958b\u59cb\u6642\u5c31\u4e0d\u8981\u6aa2\u67e5\u662f\u5426\u8d70\u904e\u4e86(\u4e5f\u5c31\u662f\u53ea\u5728\u5f80\u5916\u8d70\u6642\u6aa2\u67e5\u662f\u5426\u8d70\u904e)\u3002 \u9019\u7a2e\u65b9\u6cd5\u53ef\u4ee5\u67d0\u7a2e\u7a0b\u5ea6\u4e0a\u7e2e\u6e1bqueue\u4e2d\u591a\u9918\u7684\u5143\u7d20\u6578\u91cf\uff0c\u662f\u6bd4\u8f03\u597d\u7684\u65b9\u6cd5\u3002<\/li>\n
  2. push\u5165queue\u6642\u9084\u4e0d\u6703\u6a19\u70ba$visited$\u3002\u6bcf\u6b21\u5f9e\u65b0\u7684\u683c\u5b50\u958b\u59cbBFS\u6642\uff0c\u9664\u975e\u9019\u500b\u683c\u5b50\u7684\u79fb\u52d5\u6578\u91cf$>0$\uff0c\u5426\u5247\u4e0d\u8981\u6a19\u8a18\u70ba$visited$(\u4f46\u662f\u5730\u5716\u4e0a\u5df2\u7d93\u5beb\u4e0a\u53bb\u4e86)\u3002 \u9019\u7a2e\u65b9\u6cd5\u6bd4\u8f03\u7cdf\u7cd5\uff0c\u6c92\u4ec0\u9ebc\u7d50\u69cb\u3002<\/li>\n<\/ol>\n

    \u7a0b\u5f0f\u78bc(\u6cd51):<\/h3>\n
    const int _n=1010;  \nstruct ele{int x,y,move;};  \nint t,n,m,s[11],p,mp[_n][_n],ans[11];  \nint dx[4]={-1,1,0,0};  \nint dy[4]={0,0,-1,1};  \nqueue<ele> st[11],q;  \nbool vis[_n][_n];  \nchar c,a[_n][_n];  \nmain(void) {  \n  scanf("%d%d%d",&n,&m,&p); rep(i,1,p+1)scanf("%d",&s[i]);  \n  rep(i,1,n+1)scanf("%s",a[i]+1);  \n  rep(i,1,n+1)rep(j,1,m+1){  \n    c=a[i][j];int res=c;if(c=='.')res='0'+0;if(c=='#')res='0'+10;  \n    mp[i][j]=res-'0';  \n    if(mp[i][j]!=0 and mp[i][j]!=10)st[mp[i][j]].push({i,j,s[mp[i][j]]}),vis[i][j]=1;   if(mp[i][j]==10)vis[i][j]=1;  \n  }  \n  while(1){  \n    bool OUT=1;rep(i,1,p+1){if(!st[i].empty())OUT=0;}  \n    if(OUT)break;  \n    rep(id,1,p+1){  \n      while(!st[id].empty())q.push(st[id].front()),st[id].pop();  \n      ele now;int nx,ny;  \n      while(!q.empty()){  \n        now=q.front(); q.pop();  \n        int x=now.x,y=now.y,mv=now.move;  \n        mp[x][y]=id;  \n        if(mv==0)st[id].push({x,y,s[id]});  \n        else rep(j,0,4){  \n          nx=x+dx[j],ny=y+dy[j];  \n          if(nx<1||nx>n||ny<1||ny>m||vis[nx][ny]||mp[nx][ny]||mv<=0)continue;  \n          vis[nx][ny]=1;  \n          q.push({nx,ny,mv-1});  \n        }  \n      }  \n    }  \n  }  \n  rep(i,1,n+1)rep(j,1,m+1)ans[mp[i][j]]++;  \n  rep(i,1,p+1)printf("%d ",ans[i]);  \n  return 0;  \n}  \n<\/code><\/pre>\n
    \u6a19\u982d\u3001\u6a21\u677f\u8acb\u9edeSubmission\u770b
    \n    Submission<\/a><\/p>\n
    \u7a0b\u5f0f\u78bc(\u6cd52):<\/h3>\n
    const int _n=1010;  \nstruct ele{int x,y,move;};  \nint t,n,m,s[20],p,mp[_n][_n],ans[20];  \nqueue<ele> st[20],q;  \nbool vis[_n][_n];  \nchar c;  \nmain(void) {cin.tie(0);ios_base::sync_with_stdio(0);  \n  cin>>n>>m>>p;rep(i,1,p+1)cin>>s[i];  \n  cin.get();rep(i,1,n+1){rep(j,1,m+1){  \n    c=cin.get();int res=c;if(c=='.')res='0'+0;if(c=='#')res='0'+10;  \n    mp[i][j]=res-'0';  \n    assert(mp[i][j]<11);  \n    if(mp[i][j]!=0 and mp[i][j]!=10)st[mp[i][j]].push({i,j,s[mp[i][j]]});  \n    if(mp[i][j]==10)vis[i][j]=1;  \n  }cin.get();}  \n  rep(i,0,n+1)mp[i][0]=10; rep(i,0,m+1)mp[0][i]=10;  \n  rep(i,0,n+1)mp[i][m+1]=10; rep(i,0,m+1)mp[n+1][i]=10;  \n  while(1){  \n    bool OUT=1;rep(i,1,p+1){assert(i<11);if(!st[i].empty())OUT=0;}  \n    if(OUT)break;  \n    rep(id,1,p+1){  \n      assert(id<11);  \n      while(!st[id].empty())q.push(st[id].front()),st[id].pop();  \n      while(!q.empty()){  \n        ele now=q.front(); q.pop();  \n        if(vis[now.x][now.y])continue;  \n        int x=now.x,y=now.y,mv=now.move;  \n        mp[x][y]=id; if(mv>0)vis[x][y]=1;  \n        if(mv==0)st[id].push({x,y,s[id]});  \n        if(mv>0 and !mp[x-1][y])q.push({x-1,y,mv-1});  \n        if(mv>0 and !mp[x+1][y])q.push({x+1,y,mv-1});  \n        if(mv>0 and !mp[x][y-1])q.push({x,y-1,mv-1});  \n        if(mv>0 and !mp[x][y+1])q.push({x,y+1,mv-1});  \n      }  \n    }  \n  }  \n  rep(i,1,n+1)rep(j,1,m+1)ans[mp[i][j]]++;  \n  rep(i,1,p+1)cout<<ans[i]<<' '; cout<<'\\n';  \n  return 0;  \n}  \n<\/code><\/pre>\n
    \u6a19\u982d\u3001\u6a21\u677f\u8acb\u9edeSubmission\u770b
    \n    Submission<\/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":[10,9,17,16],"class_list":["post-43","post","type-post","status-publish","format-standard","hentry","category-ojcode","tag-codeforce","tag-ojcode","tag-17","tag-bfs"],"jetpack_publicize_connections":[],"yoast_head":"\nD. 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