{"id":1119,"date":"2019-05-11T17:42:12","date_gmt":"2019-05-11T09:42:12","guid":{"rendered":"https:\/\/cf.mnihyc.com\/blog\/?p=1119"},"modified":"2020-02-09T02:51:46","modified_gmt":"2020-02-08T18:51:46","slug":"yzoj-p4259-fjwc-2019-%e4%b8%8d%e5%90%8c%e7%9a%84%e7%bc%a9%e5%86%99","status":"publish","type":"post","link":"https:\/\/cf.mnihyc.com\/blog\/archives\/1119","title":{"rendered":"YZOJ P4259 [FJWC 2019] \u4e0d\u540c\u7684\u7f29\u5199"},"content":{"rendered":"<h1 style=\"text-align: center;\">YZOJ P4259 [FJWC 2019] \u4e0d\u540c\u7684\u7f29\u5199<\/h1>\n<p style=\"text-align: center;\">\u65f6\u95f4\u9650\u5236\uff1a1000MS \u00a0\u00a0\u00a0\u00a0 \u5185\u5b58\u9650\u5236\uff1a262144KB<\/p>\n<p style=\"text-align: center;\">\u51fa\u9898\u4eba\uff1a<code>E.Space<\/code> \u00a0\u00a0\u00a0\u00a0 \u96be\u5ea6\uff1a<span style=\"color: #ff9900;\">\\(6.1\\)<\/span><\/p>\n<ul>\n<li>\n<h3><strong>\u9898\u76ee\u63cf\u8ff0<\/strong><\/h3>\n<\/li>\n<\/ul>\n<p>\u5728\u8fd9\u4e2a\u6e38\u620f\u4e2d\u4e00\u5171\u6709 \\(n\\) \u4e2a\u89d2\u8272\u3002\u4f60\u9700\u8981\u7f16\u5199\u4e00\u4e9b\u5173\u4e8e\u8fd9\u4e9b\u89d2\u8272\u7684\u5bf9\u8bdd\u5185\u5bb9\u3002<\/p>\n<p>\u4f60\u6253\u7b97\u7528\u89d2\u8272\u540d\u5b57\u7684\u4e00\u4e2a\u975e\u7a7a\u5b50\u5e8f\u5217\u6765\u4f5c\u4e3a\u5b83\u7684\u7b80\u79f0\u3002<\/p>\n<p>\u5f53\u7136\uff0c\u4e0d\u540c\u7684\u89d2\u8272\u8981\u7528\u4e0d\u540c\u7684\u5b57\u7b26\u4e32\u4f5c\u4e3a\u7b80\u79f0\uff0c\u5426\u5219\u4f60\u5c31\u53d8\u91cf\u91cd\u540d\u4e86\u3002<\/p>\n<p>\u4f60\u60f3\u786e\u5b9a\u4e00\u4e2a\u7b80\u79f0\u7684\u5206\u914d\u65b9\u6848\u4f7f\u5f97\u6240\u6709\u89d2\u8272\u4e2d\u6700\u957f\u7684\u7b80\u79f0\u5c3d\u91cf\u77ed\u3002<\/p>\n<ul>\n<li>\n<h3><strong>\u8f93\u5165\u683c\u5f0f<\/strong><\/h3>\n<\/li>\n<\/ul>\n<p>\u7b2c\u4e00\u884c\u4e00\u4e2a\u6b63\u6574\u6570 \\(n\\)\u3002<\/p>\n<p>\u63a5\u4e0b\u6765 \\(n\\) \u884c\uff0c\u6bcf\u884c\u4e00\u4e2a\u7531\u5c0f\u5199\u5b57\u6bcd\u7ec4\u6210\u7684\u5b57\u7b26\u4e32\uff0c\u4ee3\u8868\u4e00\u4e2a\u89d2\u8272\u7684\u540d\u5b57\u3002<\/p>\n<p>\u4e0d\u540c\u7684\u89d2\u8272\u53ef\u80fd\u4f1a\u6709\u76f8\u540c\u7684\u540d\u5b57\u3002<\/p>\n<ul>\n<li>\n<h3><strong>\u8f93\u51fa\u683c\u5f0f<\/strong><\/h3>\n<\/li>\n<\/ul>\n<p>\u5982\u679c\u4e0d\u5b58\u5728\u4e00\u79cd\u5206\u914d\u7b80\u79f0\u7684\u65b9\u6848\u6ee1\u8db3\u6761\u4ef6\uff0c\u8f93\u51fa \\(-1\\)\u3002<\/p>\n<p>\u5426\u5219\u7b2c\u4e00\u884c\u8f93\u51fa\u4e00\u4e2a\u6b63\u6574\u6570\uff0c\u8868\u793a\u6700\u957f\u7684\u7b80\u79f0\u7684\u6700\u5c0f\u957f\u5ea6\u3002<\/p>\n<p>\u63a5\u4e0b\u6765 \\(n\\) \u884c\u6bcf\u884c\u4e00\u4e2a\u5b57\u7b26\u4e32\uff0c\u6309\u987a\u5e8f\u8868\u793a\u6bcf\u4e2a\u89d2\u8272\u7684\u7b80\u79f0\u3002<\/p>\n<p>\u82e5\u6709\u591a\u79cd\u65b9\u6848\u6ee1\u8db3\u6761\u4ef6\uff0c\u90a3\u4e48\u4f60\u53ef\u4ee5\u8f93\u51fa\u4efb\u610f\u4e00\u79cd\u3002<\/p>\n<ul>\n<li>\n<h3><strong>\u6837\u4f8b\u8f93\u5165<\/strong><\/h3>\n<\/li>\n<\/ul>\n<pre class=\"lang:default decode:true \">11\r\nnight\r\nnealchen\r\nbeimingyouyu\r\necho\r\nrankinf\r\ndntcrybecthlev\r\nlagoon\r\ncyc\r\nalphagem\r\nleehwincing\r\nclin<\/pre>\n<ul>\n<li>\n<h3><strong>\u6837\u4f8b\u8f93\u51fa<\/strong><\/h3>\n<\/li>\n<\/ul>\n<pre class=\"lang:default decode:true \">1\r\ng\r\na\r\nm\r\ne\r\nr\r\nb\r\no\r\ny\r\nl\r\nw\r\nc<\/pre>\n<ul>\n<li>\n<h3><strong>\u6570\u636e\u89c4\u6a21\u4e0e\u7ea6\u5b9a<\/strong><\/h3>\n<\/li>\n<\/ul>\n<p>\u4fdd\u8bc1 \\(n \\leq 300\\) \uff0c\u6bcf\u4e2a\u540d\u5b57\u7684\u957f\u5ea6\u4e0d\u8d85\u8fc7 \\(300\\)\u3002<\/p>\n<p>&nbsp;<\/p>\n<p>&nbsp;<\/p>\n<p>&nbsp;<\/p>\n<p><!--more--><\/p>\n<hr \/>\n<p>&nbsp;<\/p>\n<p>&nbsp;<\/p>\n<p>&nbsp;<\/p>\n<p><del>\u6211\u6821\u6821\u961f\u6210\u5458\uff08gamerboy<\/del><\/p>\n<p>\u9996\u5148\u8981\u6c42\u7684\u662f\u957f\u5ea6\u6700\u5c0f\uff0c\u53ef\u4ee5\u60f3\u5230\u4e8c\u5206\u7b54\u6848\uff0c\u56e0\u4e3a\u957f\u5ea6\u6bd4\u7b54\u6848\u5927\u7684\u4e00\u5b9a\u53ef\u4ee5\uff0c\u6bd4\u7b54\u6848\u5c0f\u7684\u4e00\u5b9a\u4e0d\u884c\u3002<\/p>\n<p>\u56e0\u4e3a\u6bcf\u4e2a\u4eba\u90fd\u4e0e\u7f29\u5199\u4e00 \u4e00\u5bf9\u5e94\uff0c\u6240\u4ee5\u5176\u5b9e\u53d1\u73b0\u8fd9\u662f\u4e00\u4e2a\u4e8c\u5206\u56fe\u5339\u914d\uff0c\u7528\u5e8f\u5217\u81ea\u52a8\u673a\u7206\u641c\u51fa\u6240\u6709\u7684\u5b50\u5e8f\u5217\uff0c\u4f7f\u7528Trie\u6811\u5224\u91cd\uff0c\u7136\u540e\u8fde\u8fb9\u5339\u914d\u3002<\/p>\n<p>\u8fd9\u6837\u70b9\/\u8fb9\u6570\u5f88\u591a\uff0c\u6240\u4ee5\u8003\u8651 Hall \u5b9a\u7406\uff0c\u90a3\u4e48\u5927\u4e8e \\(n\\) \u4e2a\u5bf9\u5e94\u5b57\u7b26\u4e32\u7684\u5b50\u5e8f\u5217\u5c31\u6ca1\u6709\u7ee7\u7eed\u641c\u7d22\u7684\u5fc5\u8981\u4e86\u3002<\/p>\n<p>\u8fd9\u6837\u5c31\u6709\u4e00\u4e2a\u70b9\u6570 \\(O(n^2)\\) \u8fb9\u6570 \\(O(n^2)\\) \u7684\u56fe\uff0c\u8dd1 Dinic \u7684\u590d\u6742\u5ea6\u662f \\(O(n^3)\\)\uff0c\u603b\u590d\u6742\u5ea6 \\(O(n^3logn)\\) \u3002<\/p>\n<p>\u90fd\u77e5\u9053 Dinic \u8dd1\u4e0d\u6ee1\uff0c\u6240\u4ee5\u8fd9\u9898\u53ef\u4ee5\u8fc7\u3002<\/p>\n<p>&nbsp;<\/p>\n<pre class=\"lang:default decode:true \">#include &lt;cstdio&gt;\r\n#include &lt;cstdlib&gt;\r\n#include &lt;cstring&gt;\r\n#include &lt;climits&gt;\r\n\r\n#define INFINITE 0x7F7F7F7F\r\n#define _min(_a_,_b_) ((_a_)&lt;(_b_)?(_a_):(_b_))\r\n#define _max(_a_,_b_) ((_a_)&gt;(_b_)?(_a_):(_b_))\r\n\r\n#define GetReverse(_x) ((_x)&amp;1 ? (_x)+1 : (_x)-1)\r\nint gcnt,ghead[105050],gnext[1505050],gnode[1505050],gflow[1505050];\r\ninline void insertLine(register int s,register int t,const int&amp;v=1)\r\n{\r\n\tgnext[++gcnt]=ghead[s],ghead[s]=gcnt,gnode[gcnt]=t,gflow[gcnt]=v;\r\n\tgnext[++gcnt]=ghead[t],ghead[t]=gcnt,gnode[gcnt]=s,gflow[gcnt]=0;\r\n}\r\n\r\nint N;\r\nint _i,pos[355][355][26];\r\nint tmcnt,cnt,son[105050][26];\r\n\r\nvoid DFSx(register int step,register int x,register int now)\r\n{\r\n\tif(step&lt;=0 || tmcnt&lt;=0)\r\n\t\treturn;\r\n\tfor(register int j=0;j&lt;26;j++)\r\n\t\tif(pos[_i][x][j])\r\n\t\t{\r\n\t\t\tif(!son[now][j])\r\n\t\t\t\tson[now][j]=++cnt;\r\n\t\t\tinsertLine(_i,son[now][j]);\r\n\t\t\ttmcnt--,DFSx(step-1,pos[_i][x][j],son[now][j]);\r\n\t\t}\r\n}\r\n\r\nint S,T;\r\nint dist[105050];\r\ninline bool BFS()\r\n{\r\n\tstatic int lst[105050];\r\n\tregister int front=0,rear=0;\r\n\tmemset(dist,0,sizeof(dist));\r\n\tdist[S]=1,lst[rear++]=S;\r\n\twhile(front&lt;rear)\r\n\t{\r\n\t\tregister int now=lst[front++];\r\n\t\tfor(register int j=ghead[now],t;j;j=gnext[j])\r\n\t\t\tif(gflow[j]&gt;0 &amp;&amp; !dist[t=gnode[j]])\r\n\t\t\t\tdist[t]=dist[now]+1,lst[rear++]=t;\r\n\t}\r\n\treturn dist[T];\r\n}\r\n\r\nint cur[105050];\r\nint DFS(register int now,register int mxflow)\r\n{\r\n\tif(now == T)\r\n\t\treturn mxflow;\r\n\tfor(register int j=cur[now],t;j;j=gnext[j])\r\n\t{\r\n\t\tcur[now]=j,t=gnode[j];\r\n\t\tif(!(gflow[j]&gt;0 &amp;&amp; dist[t]==dist[now]+1))\r\n\t\t\tcontinue;\r\n\t\tregister int nf=DFS(t,_min(mxflow,gflow[j]));\r\n\t\tif(nf)\r\n\t\t{\r\n\t\t\tgflow[j]-=nf;\r\n\t\t\tgflow[GetReverse(j)]+=nf;\r\n\t\t\treturn nf;\r\n\t\t}\r\n\t}\r\n\treturn 0;\r\n}\r\n\r\ninline int Dinic()\r\n{\r\n\tregister int ans=0;\r\n\twhile(BFS())\r\n\t{\r\n\t\tfor(register int i=1;i&lt;=T;i++)\r\n\t\t\tcur[i]=ghead[i];\r\n\t\twhile(int nf=DFS(S,INFINITE))\r\n\t\t\tans+=nf;\r\n\t}\r\n\treturn ans;\r\n}\r\n\r\ninline bool CheckValid(register int len)\r\n{\r\n\tgcnt=0,memset(ghead,0,sizeof(ghead));\r\n\tmemset(son,0,sizeof(son));\r\n\tcnt=N;\r\n\tfor(register int i=1;i&lt;=N;i++)\r\n\t\t_i=i,tmcnt=N,DFSx(len,0,1);\r\n\tS=cnt+1,T=S+1;\r\n\tfor(register int i=1;i&lt;=N;i++)\r\n\t\tinsertLine(S,i);\r\n\tfor(register int i=N+1;i&lt;=cnt;i++)\r\n\t\tinsertLine(i,T);\r\n\treturn Dinic()==N;\r\n}\r\n\r\nint nodemap[105050],top;\r\nchar stk[105050],ans[355][105050];\r\nvoid DFSt(register int now)\r\n{\r\n\tif(nodemap[now])\r\n\t\tmemcpy(ans[nodemap[now]],stk,sizeof(stk));\r\n\tfor(register int j=0;j&lt;26;j++)\r\n\t\tif(son[now][j])\r\n\t\t\tstk[++top]=j+'a',DFSt(son[now][j]),stk[top--]=0;\r\n}\r\n\r\nchar s[105050];\r\n\r\nint main()\r\n{\r\n\tscanf(\"%d\",&amp;N);\r\n\tregister int mxls=0;\r\n\tfor(register int lp=1;lp&lt;=N;lp++)\r\n\t{\r\n\t\tscanf(\"%s\",&amp;s[1]);\r\n\t\tregister int ls=strlen(&amp;s[1]);\r\n\t\tfor(register int i=ls-1;i&gt;=0;i--)\r\n\t\t{\r\n\t\t\tfor(register int j=0;j&lt;26;j++)\r\n\t\t\t\tpos[lp][i][j]=pos[lp][i+1][j];\r\n\t\t\tpos[lp][i][s[i+1]-'a']=i+1;\r\n\t\t}\r\n\t\tmxls=_max(mxls,ls);\r\n\t}\r\n\t\r\n\tregister int left=1,right=mxls;\r\n\twhile(left&lt;=right)\r\n\t{\r\n\t\tregister int mid=(left+right)&gt;&gt;1;\r\n\t\tif(CheckValid(mid))\r\n\t\t\tright=mid-1;\r\n\t\telse\r\n\t\t\tleft=mid+1;\r\n\t}\r\n\tif(right+1&gt;mxls)\r\n\t{\r\n\t\tprintf(\"%d\\n\",-1);\r\n\t\treturn 0;\r\n\t}\r\n\tprintf(\"%d\\n\",right+1);\r\n\tCheckValid(right+1);\r\n\tfor(register int i=1;i&lt;=N;i++)\r\n\t\tfor(register int j=ghead[i];j;j=gnext[j])\r\n\t\t\tif(!gflow[j])\r\n\t\t\t{\r\n\t\t\t\tnodemap[gnode[j]]=i;\r\n\t\t\t\tbreak;\r\n\t\t\t}\r\n\tDFSt(1);\r\n\tfor(register int i=1;i&lt;=N;i++)\r\n\t\tprintf(\"%s\\n\",&amp;ans[i][1]);\r\n\t\r\n\treturn 0;\r\n}<\/pre>\n<p>&nbsp;<\/p>\n<p>&nbsp;<\/p>\n<p>&nbsp;<\/p>\n","protected":false},"excerpt":{"rendered":"<p>YZOJ P4259 [FJWC 2019] \u4e0d\u540c\u7684\u7f29\u5199 \u65f6\u95f4\u9650\u5236\uff1a1000MS \u00a0\u00a0\u00a0\u00a0 \u5185\u5b58\u9650\u5236\uff1a2621 &hellip; <a href=\"https:\/\/cf.mnihyc.com\/blog\/archives\/1119\" class=\"more-link\">\u7ee7\u7eed\u9605\u8bfb<span class=\"screen-reader-text\">YZOJ P4259 [FJWC 2019] \u4e0d\u540c\u7684\u7f29\u5199<\/span><\/a><\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"open","ping_status":"closed","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[41,63,17,90,78],"tags":[],"class_list":["post-1119","post","type-post","status-publish","format-standard","hentry","category-proa","category-bindivide","category-trie","category-seqautomaton","category-networkflows"],"yoast_head":"<!-- This site is optimized with the Yoast SEO plugin v27.1.1 - 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