{"id":1140,"date":"2019-05-11T19:05:03","date_gmt":"2019-05-11T11:05:03","guid":{"rendered":"https:\/\/0.mnihyc.com\/blog\/?p=1140"},"modified":"2020-02-09T02:45:36","modified_gmt":"2020-02-08T18:45:36","slug":"yzoj-p2049-fjoi2013%e7%9b%b8%e4%bc%bc%e5%9f%ba%e5%9b%a0%e5%ba%8f%e5%88%97%e9%97%ae%e9%a2%98","status":"publish","type":"post","link":"https:\/\/0.mnihyc.com\/blog\/archives\/1140","title":{"rendered":"YZOJ P2049 [FJOI2013]\u76f8\u4f3c\u57fa\u56e0\u5e8f\u5217\u95ee\u9898"},"content":{"rendered":"<h1 style=\"text-align: center;\">YZOJ P2049 [FJOI2013]\u76f8\u4f3c\u57fa\u56e0\u5e8f\u5217\u95ee\u9898<\/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;\">\u96be\u5ea6\uff1a<span style=\"color: #ff9900;\">\\(6.0\\)<\/span><\/p>\n<ul>\n<li>\n<h3><strong>\u9898\u76ee\u63cf\u8ff0<\/strong><\/h3>\n<\/li>\n<\/ul>\n<p>\u7ed9\u5b9a \\(2\\) \u4e2a\u957f\u5ea6\u5206\u522b\u4e3a \\(m\\) \u548c \\(n\\) \u7684 DNA \u5e8f\u5217 \\(X\\) \u548c \\(Y\\)\uff0c\u4ee5\u53ca\u4e00\u4e2a\u957f\u5ea6\u4e3a \\(p\\) \u7684\u6a21\u5f0f\u5b50\u5e8f\u5217 \\(P\\)\u3002\u5e26\u6709\u5b50\u5e8f\u5217\u5305\u542b\u7ea6\u675f\u7684\u6700\u957f\u516c\u5171\u5b50\u5e8f\u5217\u95ee\u9898\u5c31\u662f\u8981\u627e\u51fa \\(X\\) \u548c \\(Y\\) \u5e26\u6709\u5305\u542b\u5b50\u5e8f\u5217 \\(P\\) \u7ea6\u675f\u7684\u6700\u957f\u516c\u5171\u5b50\u5e8f\u5217\u7684\u957f\u5ea6\u3002<\/p>\n<p>\u4f8b\u5982\uff0c\u5982\u679c\u7ed9\u5b9a\u7684 DNA \u5e8f\u5217 \\(X\\) \u548c \\(Y\\) \u5206\u522b\u4e3a <code>X=AATGCCTAGGC<\/code>\uff0c<code>Y=CGATCTGGAC<\/code>\uff0c\u6a21\u5f0f\u5b50\u5e8f\u5217 <code>P=GTAC<\/code>\uff0c\u5219\u5b50\u5e8f\u5217 <code>ATCTGGC<\/code> \u662f \\(X\\) \u548c \\(Y\\) \u7684\u4e00\u4e2a\u65e0\u7ea6\u675f\u7684\u6700\u957f\u516c\u5171\u5b50\u5e8f\u5217\uff0c\u800c\u5305\u542b \\(P\\) \u4e3a\u5176\u5b50\u5e8f\u5217\u7684\u6700\u957f\u516c\u5171\u5b50\u5e8f\u5217\u662f <code>GCTAC<\/code>\u3002<\/p>\n<ul>\n<li>\n<h3><strong>\u8f93\u5165\u683c\u5f0f<\/strong><\/h3>\n<\/li>\n<\/ul>\n<p>\u7b2c\u4e00\u884c\u4e2d\u7ed9\u51fa\u6b63\u6574\u6570 \\(m,n,p\\)\uff0c\u5206\u522b\u8868\u793a\u7ed9\u5b9a\u5e8f\u5217 \\(X\\) \u548c \\(Y\\) \u4ee5\u53ca\u6a21\u5f0f\u5b50\u5e8f\u5217 \\(P\\) \u7684\u957f\u5ea6\u3002\\(m,n,p&lt;300\\) \u3002<\/p>\n<p>\u63a5\u4e0b\u6765\u7684 \\(3\\) \u884c\u5206\u522b\u7ed9\u51fa\u5e8f\u5217 \\(X\\) \u548c \\(Y\\) \u4ee5\u53ca\u6a21\u5f0f\u5b50\u5e8f\u5217 \\(P\\) \u3002<\/p>\n<ul>\n<li>\n<h3><strong>\u8f93\u51fa\u683c\u5f0f<\/strong><\/h3>\n<\/li>\n<\/ul>\n<p>\u5c06\u8ba1\u7b97\u51fa\u7684 \\(X\\) \u548c \\(Y\\) \u5e26\u6709\u5305\u542b\u5b50\u5e8f\u5217 \\(P\\) \u7ea6\u675f\u7684\u6700\u957f\u516c\u5171\u5b50\u5e8f\u5217\u7684\u957f\u5ea6\u8f93\u51fa\u3002\u5982\u679c \\(X\\) \u548c \\(Y\\) \u4e0d\u5b58\u5728\u5305\u542b\u5b50\u5e8f\u5217 \\(P\\) \u7684\u516c\u5171\u5b50\u5e8f\u5217\uff0c\u5219\u8f93\u51fa \\(-1\\)\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 10 4\r\nAATGCCTAGGC\r\nCGATCTGGAC\r\nGTAC<\/pre>\n<ul>\n<li>\n<h3><strong>\u6837\u4f8b\u8f93\u51fa<\/strong><\/h3>\n<\/li>\n<\/ul>\n<pre class=\"\">5<\/pre>\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>\u8981\u662f\u6ca1\u6709 \\(P\\) \u4e32\uff0c\u76f4\u63a5\u5728 \\(X, Y\\) \u7684\u5e8f\u5217\u81ea\u52a8\u673a\u4e0a\u8dd1\u5339\u914d\u5373\u53ef\u3002<\/p>\n<p>\u8003\u8651\u6709 \\(P\\) \u4e32\u7684\u9650\u5236\uff0c\u53ef\u4ee5\u6784\u9020\u4e00\u4e2a\u65b0\u81ea\u52a8\u673a\uff1a<\/p>\n<p>\u5bf9\u4e8e \\(0 \\leq i &lt; p\\) \uff0c<span class=\"lang:default decode:true  crayon-inline \">next[i][ P[i+1] ] = i+1, next[i][ (other) ] = i;<\/span>\u00a0<\/p>\n<p>\u5bf9\u4e8e \\(i = p\\) \uff0c<span class=\"lang:default decode:true  crayon-inline \">next[i][ (all) ] = i;<\/span>\u00a0<\/p>\n<p>\u7136\u540e\u4e09\u4e2a\u81ea\u52a8\u673a\u8dd1\u6700\u5927\u5339\u914d\u5373\u53ef\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\ninline int _max(const int&amp;a,const int&amp;b)\r\n{\r\n\treturn (a&gt;b?a:b);\r\n}\r\n\r\nchar xs[305],ys[305],ps[305];\r\n#define CHARSET 26\r\nint xpos[305][30],ypos[305][30],ppos[305][30];\r\n\r\ninline void build(int ls,char s[],int pos[][30])\r\n{\r\n\tfor(register int i=ls;i&gt;=1;i--)\r\n\t{\r\n\t\tfor(register int j=0;j&lt;CHARSET;j++)\r\n\t\t\tpos[i-1][j]=pos[i][j];\r\n\t\tpos[i-1][s[i]-'A']=i;\r\n\t}\r\n}\r\n\r\nbool vis[305][305][305];\r\nint f[305][305][305];\r\nint P;\r\nint DFS(register int x,register int y,register int p)\r\n{\r\n\tif(vis[x][y][p])\r\n\t\treturn f[x][y][p];\r\n\tvis[x][y][p]=true;\r\n\t\r\n\tregister int ans=(p==P?0:INT_MIN);\r\n\tfor(register int j=0;j&lt;CHARSET;j++)\r\n\t\tif(xpos[x][j] &amp;&amp; ypos[y][j] &amp;&amp; ppos[p][j])\r\n\t\t\tans=_max(ans,DFS(xpos[x][j],ypos[y][j],ppos[p][j]));\r\n\t\r\n\treturn (f[x][y][p]=ans+1);\r\n}\r\n\r\nint main()\r\n{\r\n\tint N,M,P;scanf(\"%d%d%d\",&amp;N,&amp;M,&amp;P);\r\n\t::P=P;\r\n\tscanf(\"%s\",&amp;xs[1]),scanf(\"%s\",&amp;ys[1]),scanf(\"%s\",&amp;ps[1]);\r\n\t\r\n\tbuild(N,xs,xpos),build(M,ys,ypos);\r\n\tfor(register int i=P;i&gt;=0;i--)\r\n\t{\r\n\t\tfor(register int j=0;j&lt;CHARSET;j++)\r\n\t\t\tppos[i][j]=i;\r\n\t\tif(i&lt;P)\r\n\t\t\tppos[i][ps[i+1]-'A']=i+1;\r\n\t}\r\n\t\r\n\tDFS(0,0,0);\r\n\t\r\n\tprintf(\"%d\\n\",(f[0][0][0]-1&gt;0 ? f[0][0][0]-1 : -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 P2049 [FJOI2013]\u76f8\u4f3c\u57fa\u56e0\u5e8f\u5217\u95ee\u9898 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