{"id":1126,"date":"2019-05-11T18:04:05","date_gmt":"2019-05-11T10:04:05","guid":{"rendered":"https:\/\/0.mnihyc.com\/blog\/?p=1126"},"modified":"2020-02-09T02:50:52","modified_gmt":"2020-02-08T18:50:52","slug":"yzoj-p2242-zjoi-2015substring","status":"publish","type":"post","link":"https:\/\/0.mnihyc.com\/blog\/archives\/1126","title":{"rendered":"YZOJ P2242 [ZJOI 2015]Substring"},"content":{"rendered":"<h1 style=\"text-align: center;\">YZOJ P2242 [ZJOI 2015]Substring<\/h1>\n<p style=\"text-align: center;\">\u65f6\u95f4\u9650\u5236\uff1a1000MS \u00a0\u00a0\u00a0\u00a0 \u5185\u5b58\u9650\u5236\uff1a524288KB<\/p>\n<p style=\"text-align: center;\">\u96be\u5ea6\uff1a<span style=\"color: #ff0000;\">\\(8.0\\)<\/span><\/p>\n<ul>\n<li>\n<h3><strong>\u9898\u76ee\u63cf\u8ff0<\/strong><\/h3>\n<\/li>\n<\/ul>\n<p>\u7ed9\u51fa\u4e00\u68f5 \\(n\\) \u4e2a\u8282\u70b9\u3001\u53f6\u5b50\u4e0d\u8d85\u8fc7 \\(20\\) \u4e2a\u7684\u6811\uff0c\u6bcf\u4e2a\u8282\u70b9\u4e0a\u6709 \\(0\\) \u5230 \\(c-1\\) \u7684\u6570\u5b57\u3002<\/p>\n<p>\u6811\u4e0a\u4efb\u610f\u4e24\u70b9 \\(A\\)\u3001\\(B\\) \u95f4\u7684\u6709\u5411\u8def\u5f84 \\(A \\rightarrow B\\) \u5f62\u6210\u4e86\u4e00\u4e2a\u5b57\u7b26\u4e32\uff08\\(A \\rightarrow B\\) \u548c \\(B \\rightarrow A\\) \u6784\u6210\u7684\u4e32\u76f8\u53cd\uff09\u3002<\/p>\n<p>\u6c42\u603b\u5171\u6709\u591a\u5c11\u4e2a\u4e92\u4e0d\u76f8\u540c\u7684\u5b57\u7b26\u4e32\u3002<\/p>\n<ul>\n<li>\n<h3><strong>\u8f93\u5165\u683c\u5f0f<\/strong><\/h3>\n<\/li>\n<\/ul>\n<p>\u7b2c\u4e00\u884c\u4e24\u4e2a\u6570\uff0c\\(n, c\\) \u3002<\/p>\n<p>\u7b2c\u4e8c\u884c \\(n\\) \u4e2a \\(0\\)~\\(c-1\\) \u95f4\u7684\u6570\uff0c\u8868\u793a\u6bcf\u4e2a\u8282\u70b9\u7684\u989c\u8272\u3002<\/p>\n<p>\u63a5\u4e0b\u6765 \\(n-1\\) \u884c\uff0c\u6bcf\u4e00\u884c\u8868\u793a\u4e00\u6761\u6811\u8fb9\u3002<\/p>\n<p>\u4fdd\u8bc1\u53f6\u5b50\u4e2a\u6570\u4e0d\u8d85\u8fc7 \\(20\\)\u3002<\/p>\n<ul>\n<li>\n<h3><strong>\u8f93\u51fa\u683c\u5f0f<\/strong><\/h3>\n<\/li>\n<\/ul>\n<p>\u4e00\u4e2a\u6574\u6570\uff0c\u8868\u793a\u4e0d\u540c\u7684\u5b57\u7b26\u4e32\u6570\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 \">7 3\r\n0 2 1 2 1 0 0\r\n1 2\r\n3 4\r\n3 5\r\n4 6\r\n5 7\r\n2 5\r\n<\/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 \">30<\/pre>\n<ul>\n<li>\n<h3><strong>\u6570\u636e\u89c4\u6a21\u4e0e\u7ea6\u5b9a<\/strong><\/h3>\n<\/li>\n<\/ul>\n<p>\\(1 \\leq n \\leq 10000, 1 \\leq c \\leq 10\\) \u3002<\/p>\n<p>&nbsp;<\/p>\n<p>&nbsp;<\/p>\n<p>&nbsp;<\/p>\n<p>Source: BZOJ 3926<\/p>\n<p><!--more--><\/p>\n<hr \/>\n<p>&nbsp;<\/p>\n<p>&nbsp;<\/p>\n<p>&nbsp;<\/p>\n<p>\u6ce8\u610f\u5230\u6240\u6709\u53f6\u5b50\u7ed3\u70b9\u4e2a\u6570\u4e0d\u8d85\u8fc7 \\(20\\) \uff0c\u6240\u4ee5\u53ef\u4ee5\u4ee5\u6bcf\u4e2a\u53f6\u5b50\u7ed3\u70b9\u4e3a\u6839\uff0c\u5411\u4e0a DFS \u51fa\u4e00\u68f5 Trie\u6811\uff0c\u7136\u540e\u518d\u5408\u5e76\u6210\u4e00\u68f5\u5305\u542b\u6240\u6709\u5982\u9898\u6240\u8ff0\u5b50\u4e32\u7684\u5927 Trie\u6811\uff0c\u7edf\u8ba1\u5b83\u7684\u4e0d\u540c\u5b50\u4e32\u7684\u4e2a\u6570\u3002<\/p>\n<p>DFS \u5efa\u7acb \u5e7f\u4e49SAM \u7684\u65f6\u5019\u6ce8\u610f\uff1a\u6bcf\u6b21\u6269\u5c55SAM\u65f6 <code>last<\/code> \u8d4b\u503c\u4e3a\u5176\u7236\u4eb2\u7684 <code>last<\/code> \u5373\u53ef\u3002<\/p>\n<p>\u7edf\u8ba1\u4e0d\u540c\u5b50\u4e32\u4e2a\u6570\u5c31\u662f \\(\\sum\\limits_{x}{max_x-min_x+1}\\) \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#ifdef ONLINE_JUDGE\r\n\tchar __B[1&lt;&lt;15],*__S=__B,*__T=__B;\r\n\t#define getchar() (__S==__T&amp;&amp;(__T=(__S=__B)+fread(__B,1,1&lt;&lt;15,stdin),__S==__T)?EOF:*__S++)\r\n#endif\r\ninline int getnum()\r\n{\r\n\tregister char c=0;\r\n\twhile(!(c&gt;='0' &amp;&amp; c&lt;='9'))\r\n\t\tc=getchar();\r\n\tregister int a=0;\r\n\twhile(c&gt;='0' &amp;&amp; c&lt;='9')\r\n\t\ta=a*10+c-'0',c=getchar();\r\n\treturn a;\r\n}\r\n\r\nint gcnt,ghead[105050],gnext[205050],gnode[205050];\r\nint d[105050];\r\ninline void insertLine(register int s,register int t)\r\n{\r\n\tgnext[++gcnt]=ghead[s],ghead[s]=gcnt,gnode[gcnt]=t;\r\n\tgnext[++gcnt]=ghead[t],ghead[t]=gcnt,gnode[gcnt]=s;\r\n\td[s]++,d[t]++;\r\n}\r\n\r\n#define CHARSET 10\r\nint cnt,mxval[5050505],parent[5050505],ch[5050505][CHARSET],root,last;\r\ninline int CreateNode(register int val=0)\r\n{\r\n\tparent[++cnt]=0,mxval[cnt]=val;\r\n\tfor(register int j=0;j&lt;CHARSET;j++)\r\n\t\tch[cnt][j]=0;\r\n\treturn cnt;\r\n}\r\n\r\ninline int ExtendNode(register short c)\r\n{\r\n\tregister int nw=CreateNode(mxval[last]+1),now=last;\r\n\tfor(; now &amp;&amp; !ch[now][c]; now=parent[now])\r\n\t\tch[now][c]=nw;\r\n\tif(!now)\r\n\t\treturn parent[nw]=root,last=nw;\r\n\tregister int q=ch[now][c];\r\n\tif(mxval[q] == mxval[now]+1)\r\n\t\treturn parent[nw]=q,last=nw;\r\n\t\r\n\tregister int b=CreateNode(mxval[now]+1);\r\n\tfor(register int j=0;j&lt;CHARSET;j++)\r\n\t\tch[b][j]=ch[q][j];\r\n\tparent[b]=parent[q],parent[q]=parent[nw]=b;\r\n\tfor(; now &amp;&amp; ch[now][c]==q; now=parent[now])\r\n\t\tch[now][c]=b;\r\n\treturn last=nw;\r\n}\r\n\r\nshort color[105050];\r\ninline void DFS(register int o,register int fa,register int tlast)\r\n{\r\n\tlast=tlast,ExtendNode(color[o]),tlast=last;\r\n\tfor(register int j=ghead[o];j;j=gnext[j])\r\n\t\tif(gnode[j] != fa)\r\n\t\t\tDFS(gnode[j],o,tlast);\r\n}\r\n\r\nint main()\r\n{\r\n\tregister int N=getnum(),C=getnum();\r\n\tfor(register int i=1;i&lt;=N;i++)\r\n\t\tcolor[i]=getnum();\r\n\tfor(register int i=1;i&lt;=N-1;i++)\r\n\t\tinsertLine(getnum(),getnum());\r\n\t\r\n\troot=last=CreateNode();\r\n\tfor(register int i=1;i&lt;=N;i++)\r\n\t\tif(d[i]==1)\r\n\t\t\tDFS(i,0,1);\r\n\t\r\n\tlong long ans=0;\r\n\tfor(register int i=2;i&lt;=cnt;i++)\r\n\t\tans+=mxval[i]-mxval[parent[i]];\r\n\tprintf(\"%lld\\n\",ans);\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 P2242 [ZJOI 2015]Substring \u65f6\u95f4\u9650\u5236\uff1a1000MS \u00a0\u00a0\u00a0\u00a0 \u5185\u5b58\u9650\u5236\uff1a5 &hellip; <a href=\"https:\/\/0.mnihyc.com\/blog\/archives\/1126\" class=\"more-link\">\u7ee7\u7eed\u9605\u8bfb<span class=\"screen-reader-text\">YZOJ P2242 [ZJOI 2015]Substring<\/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":[37,92],"tags":[],"class_list":["post-1126","post","type-post","status-publish","format-standard","hentry","category-crazya","category-bdsam"],"yoast_head":"<!-- This site is optimized with the Yoast SEO plugin v27.1.1 - https:\/\/yoast.com\/product\/yoast-seo-wordpress\/ -->\n<title>YZOJ P2242 [ZJOI 2015]Substring - mnihyc&#039;s Blog<\/title>\n<meta name=\"description\" content=\"YZOJ P2242 Substring \u65f6\u95f4\u9650\u5236\uff1a1000MS \u00a0\u00a0\u00a0\u00a0 \u5185\u5b58\u9650\u5236\uff1a524288KB \u96be\u5ea6\uff1a \u9898\u76ee\u63cf\u8ff0 \u7ed9\u51fa\u4e00\u68f5 (n) \u4e2a\u8282\u70b9\u3001\u53f6\u5b50\u4e0d\u8d85\u8fc7 (20) \u4e2a\u7684\u6811\uff0c\u6bcf\u4e2a\u8282\u70b9\u4e0a\u6709 (0) \u5230 (c-1) \u7684\u6570\u5b57\u3002 \u6811\u4e0a\u4efb\u610f\u4e24\u70b9 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