{"id":278,"date":"2012-11-20T14:57:00","date_gmt":"2012-11-20T06:57:00","guid":{"rendered":"http:\/\/nike0good.jp1.rpvhost.net\/183"},"modified":"2012-11-20T14:57:00","modified_gmt":"2012-11-20T06:57:00","slug":"tyvj_p1180_less_branch-dp","status":"publish","type":"post","link":"https:\/\/nike0good.com\/?p=278","title":{"rendered":"Tyvj P1180(\u60c5\u51b5\u5c11\u5206\u652f\u591a\u7684\u8fc7\u7a0b-Dp\uff09"},"content":{"rendered":"\n\n\n\n\n
\n

\nP1180 - \u77ff\u5de5\u914d\u9910<\/h3>\n

From Admin<\/span><\/a>    Normal (OI)<\/span>
\n\u603b\u65f6\u9650\uff1a16s    \u5185\u5b58\u9650\u5236\uff1a128MB    \u4ee3\u7801\u957f\u5ea6\u9650\u5236\uff1a64KB<\/th>\n<\/tr>\n<\/thead>\n

\n\n\n<\/colgroup>\n\n\n\n\n\n\n\n\n
\n

\u63cf\u8ff0 Description<\/h4>\n
\u73b0\u6709\u4e24\u4e2a\u7164\u77ff\uff0c\u6bcf\u4e2a\u7164\u77ff\u90fd\u96c7\u7528\u4e00\u7ec4\u77ff\u5de5\u3002\u91c7\u7164\u5de5\u4f5c\u5f88\u8f9b\u82e6\uff0c\u6240\u4ee5\u77ff\u5de5\u4eec\u9700\u8981\u826f\u597d\u996e\u98df\u3002\u6bcf\u5f53\u4e00\u8f86\u98df\u54c1\u8f66\u5230\u8fbe\u7164\u77ff\u65f6\uff0c\u77ff\u5de5\u4eec\u4fbf\u4f1a\u4ea7\u51fa\u4e00\u5b9a\u6570\u91cf\u7684\u7164\u3002\u6709\u4e09\u79cd\u7c7b\u578b\u7684\u98df\u54c1\u8f66\uff1a\u8089\u8f66\uff0c\u9c7c\u8f66\u548c\u9762\u5305\u8f66\u3002
\n\u77ff\u5de5\u4eec\u559c\u6b22\u53d8\u5316\u7684\u98df\u8c31\u3002\u5982\u679c\u63d0\u4f9b\u7684\u98df\u54c1\u80fd\u591f\u4e0d\u65ad\u53d8\u5316\uff0c\u4ed6\u4eec\u7684\u4ea7\u7164\u91cf\u5c06\u4f1a\u589e\u52a0\u3002\u6bcf\u5f53\u4e00\u4e2a\u65b0\u7684\u98df\u54c1\u8f66\u5230\u8fbe\u7164\u77ff\u65f6\uff0c\u77ff\u5de5\u4eec\u5c31\u4f1a\u6bd4\u8f83\u8fd9\u79cd\u65b0\u7684\u98df\u54c1\u548c\u524d\u4e24\u6b21\uff08\u6216\u8005\u5c11\u4e8e\u4e24\u6b21\uff0c\u5982\u679c\u524d\u9762\u8fd0\u9001\u98df\u54c1\u7684\u6b21\u6570\u4e0d\u8db3\u4e24\u6b21\uff09\u7684\u98df\u54c1\uff0c\u5e76\u4e14\uff1a
\n\u5982\u679c\u8fd9\u51e0\u6b21\u98df\u54c1\u8f66\u90fd\u662f\u540c\u4e00\u7c7b\u578b\u7684\u98df\u54c1\uff0c\u5219\u77ff\u5de5\u4eec\u4ea7\u51fa\u4e00\u4e2a\u5355\u4f4d\u7684\u7164\u3002
\n\u5982\u679c\u8fd9\u51e0\u6b21\u98df\u54c1\u8f66\u4e2d\u6709\u4e24\u79cd\u4e0d\u540c\u7c7b\u578b\u7684\u98df\u54c1\uff0c\u5219\u77ff\u5de5\u4eec\u4ea7\u51fa\u4e24\u4e2a\u5355\u4f4d\u7684\u7164\u3002
\n\u5982\u679c\u8fd9\u51e0\u6b21\u98df\u54c1\u8f66\u4e2d\u6709\u4e09\u79cd\u4e0d\u540c\u7c7b\u578b\u7684\u98df\u54c1\uff0c\u5219\u77ff\u5de5\u4eec\u4ea7\u51fa\u4e09\u4e2a\u5355\u4f4d\u7684\u7164\u3002
\n\u9884\u5148\u5df2\u77e5\u98df\u54c1\u8f66\u7684\u7c7b\u578b\u53ca\u5176\u88ab\u914d\u9001\u7684\u987a\u5e8f\u3002\u901a\u8fc7\u786e\u5b9a\u54ea\u8f66\u98df\u54c1\u9001\u5230\u54ea\u4e2a\u7164\u77ff\u53ef\u4ee5\u5f71\u54cd\u4ea7\u7164\u91cf\u3002\u98df\u54c1\u8f66\u4e0d\u80fd\u88ab\u62c6\u5206\uff0c\u6bcf\u4e2a\u98df\u54c1\u8f66\u5fc5\u987b\u88ab\u5168\u90e8\u9001\u5230\u4e00\u4e2a\u6216\u53e6\u4e00\u4e2a\u7164\u77ff\u3002\u4e24\u4e2a\u7164\u77ff\u4e5f\u5e76\u4e0d\u8981\u6c42\u63a5\u6536\u76f8\u540c\u6570\u91cf\u7684\u98df\u54c1\u8f66\uff08\u4e8b\u5b9e\u4e0a\uff0c\u4e5f\u5141\u8bb8\u5c06\u6240\u6709\u98df\u54c1\u8f66\u90fd\u9001\u5230\u4e00\u4e2a\u7164\u77ff\uff09\u3002
\n\u4efb\u52a1
\n\u7ed9\u51fa\u98df\u54c1\u8f66\u7684\u7c7b\u578b\u53ca\u5176\u88ab\u914d\u9001\u7684\u987a\u5e8f\uff0c\u8981\u6c42\u4f60\u5199\u4e00\u4e2a\u7a0b\u5e8f\uff0c\u786e\u5b9a\u54ea\u4e2a\u98df\u54c1\u8f66\u5e94\u88ab\u9001\u5230\u7164\u77ff1\uff0c\u54ea\u4e2a\u98df\u54c1\u8f66\u5e94\u88ab\u9001\u5230\u7164\u77ff2\uff0c\u4ee5\u4f7f\u5f97\u4e24\u4e2a\u7164\u77ff\u7684\u4ea7\u7164\u91cf\u7684\u603b\u548c\u6700\u5927\u3002\n<\/div>\n<\/td>\n<\/tr>\n

\n

\u8f93\u5165格\u5f0f InputFormat<\/h4>\n
\u8f93\u5165\u7684\u7b2c\u4e00\u884c\u5305\u542b\u4e00\u4e2a\u6574\u6570N (1 \u2264 N \u2264 100 000),  \u8868\u793a\u98df\u54c1\u8f66\u7684\u6570\u76ee\u3002
\n\u7b2c\u4e8c\u884c\u5305\u542b\u4e00\u4e2a\u7531N\u4e2a\u5b57\u7b26\u7ec4\u6210\u7684\u5b57\u7b26\u4e32\uff0c\u6309\u7167\u914d\u9001\u987a\u5e8f\u4f9d\u6b21\u8868\u793a\u98df\u54c1\u8f66\u914d\u9001\u7684\u98df\u54c1\u7684\u7c7b\u578b\u3002\u6bcf\u4e2a\u5b57\u7b26\u662f\u4ee5\u4e0b\u4e09\u4e2a\u5927\u5199\u5b57\u6bcd\u4e4b\u4e00\uff1a'M' (\u8868\u793a\u8089\u7c7b), 'F' (\u8868\u793a\u9c7c\u7c7b) \u6216 'B' (\u8868\u793a\u9762\u5305)\u3002\n<\/div>\n<\/td>\n<\/tr>\n

\n

\u8f93\u51fa格\u5f0f OutputFormat<\/h4>\n
\u8f93\u51fa\u4e00\u4e2a\u6574\u6570\uff0c\u8868\u793a\u6700\u5927\u7684\u603b\u4ea7\u7164\u91cf\u3002<\/div>\n<\/td>\n<\/tr>\n

\n

\u6837\u4f8b\u8f93\u5165 SampleInput [\u590d\u5236\u6570\u636e<\/a>]<\/span><\/h4>\n
\n
\u6837\u4f8b\u8f93\u51651\n6\nMBMFFB\n\n\u6837\u4f8b\u8f93\u51652\n16\nMMBMBBBBMMMMMBMB\n<\/pre>\n<\/div>\n<\/td>\n<\/tr>\n

\n

\u6837\u4f8b\u8f93\u51fa SampleOutput [\u590d\u5236\u6570\u636e<\/a>]<\/span><\/h4>\n
\n
\u6837\u4f8b\u8f93\u51fa1\n12\n\n\u6837\u4f8b\u8f93\u51652\n29\n<\/pre>\n<\/div>\n<\/td>\n<\/tr>\n

\n

\u6570\u636e\u8303\u56f4\u548c\u6ce8\u91ca Hint<\/h4>\n
\u5728\u6837\u4f8b1\u4e2d\uff0c\u53ef\u4ee5\u6309\u7167\u5982\u4e0b\u7684\u987a\u5e8f\u8fd0\u9001\u98df\u54c1\u8f66\uff1a\u7164\u77ff 1, \u7164\u77ff 1, \u7164\u77ff 2, \u7164\u77ff 2, \u7164\u77ff 1, \u7164\u77ff 2, \u4f9d\u6b21\u4ea7\u751f\u7684\u4ea7\u7164\u91cf\u4e3a1, 2, 1, 2, 3 \u548c 3 \u4e2a\u5355\u4f4d\uff0c\u4e00\u5171\u662f12 \u4e2a\u5355\u4f4d\u3002\u8fd8\u6709\u5176\u5b83\u8fd0\u9001\u65b9\u5f0f\u4e5f\u80fd\u4ea7\u751f\u4e0a\u8ff0\u6700\u5927\u603b\u548c\u7684\u4ea7\u7164\u91cf\u3002<\/div>\n<\/td>\n<\/tr>\n

\n

\u65f6\u95f4\u9650\u5236 TimeLimitation<\/h4>\n
\u524d10\u70b9\u65f6\u96501s,\u5206值8\u5206
\n\u540e2\u70b9\u65f6\u96503s,\u5206值10\u5206<\/div>\n<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n

\u8fd9\u9898\u770b\u7740\u5c31\u662f\u4e0d\u53ef\u89e3\u7684\u3002<\/span><\/span><\/p>\n

\u4f46\u662f\u4ed4\u7ec6\u89c2\u5bdf\u4f1a\u53d1\u73b0\u5b83\u7684\u60c5\u51b5\u8f83\u5c11\uff0c\u5206\u652f\u5de8\u591a\uff082^N\uff09\uff1f\uff1f<\/span><\/span><\/p>\n

\u4e8e\u662f\u6211\u4eec\u7528\u6eda\u52a8\u6570\u7ec4+Dp\u663e\u7136\u53ef\u4ee5\u7528F[i][j][k][l][m]\u8868\u793a\u5b50\u7ed3\u6784<\/span><\/span><\/p>\n

j,k,l,m\u4e3a2\u4e2a\u77ff\u5de5\u6700\u8fd12\u6b21\u7684\u4f19\u98df\uff080\u8868\u793a\u6ca1\u6709\uff09<\/span><\/span><\/p>\n

\u4efb\u4f55\u5751\u7239\u7684\u9898\u76ee\u5148\u60f3\u60f3\u80fd\u4e0d\u80fdDp\u2026\u2026<\/span><\/span><\/p>\n

\u8bb0\u5fc6\u5316\u641c\u7d22\u4e0d\u80fd\u6eda\u52a8\u8fd8\u4f1a\u7206\u6808\uff0c\u4e8e\u662fDp\u7684\u5b58\u5728\u6027\u8bc1\u6bd5\u3002<\/span><\/span><\/p>\n


\n<\/span><\/span><\/p>\n

<\/span><\/span><\/p>\n

#include<cstdio>\n#include<cstring>\n#include<cstdlib>\n#include<cmath>\n#include<cctype>\n#include<iostream>\n#include<functional>\n#include<algorithm>\nusing namespace std;\n#define MAXN (100000+10)\n#define NDEBUG\nint n,a[MAXN];\nint f[2][4][4][4][4]; \/\/1->M 2->F 3->B\nint cost[4][4][4]={0};\nint _cost(int i,int j,int k)\n{\n\tif (k==0) return 0;\n\tif (i==0) i=k;\n\tif (j==0) j=k;\n\tif (i!=j&&i!=k&&j!=k) return 3;\n\tif (i!=j||i!=k||j!=k) return 2;\n\treturn 1;\n}\nint main()\n{\n\t#ifndef NDEBUG\n\tfreopen("Vijos1386.in","r",stdin);\n\t#endif\n\tscanf("%d",&n);getchar();\n\tfor (int i=0;i<n;i++)\n\t{\n\t\tswitch (getchar())\n\t\t{\n\t\tcase 'M':a[i]=1;break;\n\t\tcase 'F':a[i]=2;break;\n\t\tcase 'B':a[i]=3;break;\n\t\t}\n\t}\n\tfor (int i=0;i<=3;i++)\n\t\tfor (int j=0;j<=3;j++)\n\t\t\tfor (int k=0;k<=3;k++)\n\t\t\t{\n\t\t\t\tcost[i][j][k]=_cost(i,j,k);\n\t\t\t\t#ifndef NDEBUG\n\t\t\t\tcout<<i<<' '<<j<<' '<<k<<':'<<cost[i][j][k]<<endl;\n\t\t\t\t#endif\n\t\t\t}\n\n\n\tmemset(f,128,sizeof(f));\n\tf[0][0][0][0][0]=0;\n\tfor (int ii=0;ii<n;ii++)\n\t{\n\t\tint i=ii%2;\n\t\tfor (int j=0;j<=3;j++)\n\t\t\tfor (int k=0;k<=3;k++)\n\t\t\t\tfor (int l=0;l<=3;l++)\n\t\t\t\t\tfor (int m=0;m<=3;m++)\n\t\t\t\t\t{\n\t\t\t\t\t\tif (f[i][j][k][l][m]>=0)\n\t\t\t\t\t\t{\n\t\t\t\t\t\t\tf[i^1][k][a[ii]][l][m]=max(f[i^1][k][a[ii]][l][m],f[i][j][k][l][m]+cost[j][k][a[ii]]);\n\t\t\t\t\t\t\tf[i^1][j][k][m][a[ii]]=max(f[i^1][j][k][m][a[ii]],f[i][j][k][l][m]+cost[l][m][a[ii]]);\n\t\t\t\t\t\t}\n\t\t\t\t\t}\n\t}\n\tint ii=n%2,ans=0;\n\tfor (int j=0;j<=3;j++)\n\t\tfor (int k=0;k<=3;k++)\n\t\t\tfor (int l=0;l<=3;l++)\n\t\t\t\tfor (int m=0;m<=3;m++)\n\t\t\t\t\tans=max(ans,f[ii][j][k][l][m]);\n\tcout<<ans<<endl;\n\n\n\treturn 0;\n}<\/pre>\n<\/p>\n

\n<\/span><\/span><\/p>\n<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n","protected":false},"excerpt":{"rendered":"
P1180 – \u77ff\u5de5\u914d\u9910 From Admin    Nor […]<\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"_coblocks_attr":"","_coblocks_dimensions":"","_coblocks_responsive_height":"","_coblocks_accordion_ie_support":"","footnotes":""},"categories":[3],"tags":[30],"class_list":["post-278","post","type-post","status-publish","format-standard","hentry","category-defaultcategory","tag-dp"],"yoast_head":"\nTyvj P1180(\u60c5\u51b5\u5c11\u5206\u652f\u591a\u7684\u8fc7\u7a0b-Dp\uff09 - nike0good<\/title>\n<meta name=\"robots\" content=\"index, follow, max-snippet:-1, max-image-preview:large, max-video-preview:-1\" \/>\n<link rel=\"canonical\" href=\"https:\/\/nike0good.com\/?p=278\" \/>\n<meta property=\"og:locale\" content=\"zh_CN\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"Tyvj P1180(\u60c5\u51b5\u5c11\u5206\u652f\u591a\u7684\u8fc7\u7a0b-Dp\uff09 - 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