{"id":211,"date":"2012-10-26T16:14:00","date_gmt":"2012-10-26T08:14:00","guid":{"rendered":"http:\/\/nike0good.jp1.rpvhost.net\/116"},"modified":"2012-10-26T16:14:00","modified_gmt":"2012-10-26T08:14:00","slug":"travel_consider_different_directions_manhattan_distance","status":"publish","type":"post","link":"https:\/\/nike0good.com\/?p=211","title":{"rendered":"\u65c5\u884c (\u5206\u522b\u8003\u8651\u4e0d\u540c\u65b9\u5411\u66fc\u54c8\u987f\u8ddd\u79bb\u548c)"},"content":{"rendered":"<\/p>\n
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Dp\u51fa\u6240\u6709\u5e73\u5730\u66fc\u54c8\u987f\u8ddd\u79bb\u548c\uff08\u5168T\uff09<\/p>\n

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#include<cstdio>\n#include<cstring>\n#include<queue>\n#include<cmath>\n#include<cstdlib>\n#include<iostream>\n#include<functional>\n#include<algorithm>\n#include<stack>\nusing namespace std;\n#define MAXN (1000+10)\n#define DELTA (0.00000001)\n#define F (10000000)\nint n,m;\nchar s[2000];\nint a[MAXN],b[MAXN];\nlong long f[MAXN][MAXN];\nint calc(int l,int r,int n)\n{\n\treturn 2*(l-1)*(n-r);\n}\n\n\nint main()\n{\n\tfreopen("journey.in","r",stdin);\n\tfreopen("journey.out","w",stdout);\n\n\/*\tlong long ans=0;\n\tscanf("%d%d",&n,&m);\n\tfor (int n=1;n<=10;n++)\n\t{\n\tfor (int m=1;m<=10;m++)\n\t{\n\tlong long ans=0;\n\tfor (int i=1;i<=n;i++)\n\t\tfor (int j=1;j<=m;j++)\n\t\t\tfor (int k=1;k<=n;k++)\n\t\t\t\tfor (int l=1;l<=m;l++)\n\t\t\t\t\tans+=abs(i-k)+abs(j-l);\n\n\tprintf("%d ",ans);\n\t}\n\tcout<<endl;\n}\n*\/\n\n\tmemset(f,0,sizeof(f));\n\tmemset(a,0,sizeof(a));\n\tmemset(b,0,sizeof(b));\n\n\tlong long tot=0;\n\tscanf("%d%d",&n,&m);\n\tfor (int i=1;i<=n;i++)\n\t{\n\t\tscanf("%s",s);\n\t\tfor (int j=0;j<m;j++)\n\t\t\tif (s[j]=='X')\n\t\t\t{\n\t\t\t\ttot++;\n\t\t\t\ta[i]=j+1;\n\t\t\t\tb[j+1]=i;\n\t\t\t\tbreak;\n\t\t\t}\n\t}\n\ttot=n*m-tot;\n\n\/\/\tfor (int i=1;i<=n;i++) cout<<a[i]<<' ';\n\n\n\tfor (int i=1;i<=n;i++)\n\t\tfor (int j=1;j<=m;j++)\n\t\t{\n\t\t\tf[i][j]=f[i-1][j]+f[i][j-1]-f[i-1][j-1]+i*j*(i+j-2)+(i-1)*(j-1)*(i+j);\n\t\t\tif (a[i]==j) f[i][j]-=+i*j*(i+j-2);\n\t\t\telse\n\t\t\t{\n\t\t\t\tfor (int k=1;k<=i;k++)\n\t\t\t\t if (a[k]&&a[k]<=j)\n\t\t\t\t f[i][j]-=2*(i-k+j-a[k]);\n\n\n\t\t\t\tif (a[i]&&a[i]<j)\n\t\t\t\t\t f[i][j]-=(i-1)*(i+2*(j-a[i]));\n\t\t\t\tif (b[j]&&b[j]<i)\n\t\t\t\t\t f[i][j]-=(j-1)*(j+2*(i-b[j]));\n\t\t\t\tif (a[i]&&a[i]<j&&b[j]&&b[j]<i)\n\t\t\t\t\tf[i][j]+=2*((j-a[i])+(i-b[j]));\n\n\t\t\t}\n\/\/\t\t\tcout<<f[i][j]<<endl;\n\t\t}\n\/*\n\tfor (int i=0;i<=n;i++){\n\t\tfor (int j=0;j<=m;j++)\n\t\t\tcout<<f[i][j]<<' ';\n\t\tcout<<'n';\n\t}*\/\n\n\tlong long ans=f[n][m];\n\/\/\tcout<<ans<<endl;\n\tfor (int i=1;i<=n;i++)\n\t\tif (a[i])\n\t\t{\n\t\t\tans+=2*calc(a[i],a[i],m);\n\t\t\tif (i>1&&a[i-1])\n\t\t\t{\n\t\t\t\tint j=i-1;\n\t\t\t\tif (a[j]<a[j+1])\n\t\t\t\t{\n\t\t\t\t\twhile (j>0&&a[j]&&a[j]<a[j+1]) {ans+=2*calc(a[j],a[i],m);j--;}\n\t\t\t\t}\/*\n\t\t\t\telse if (a[j]>a[j+1])\n\t\t\t\t{\n\t\t\t\t\twhile (j>0&&a[j]>a[j+1]) {ans+=2*calc(a[i],a[j],m);j--;}\n\t\t\t\t}\t*\/\n\t\t\t}\n\t\t\tif (i<n&&a[i+1])\n\t\t\t{\n\t\t\t\tint j=i+1;\n\t\t\t\tif (a[j]<a[j-1])\n\t\t\t\t{\n\t\t\t\t\twhile (j<=n&&a[j]&&a[j]<a[j-1]) {ans+=2*calc(a[j],a[i],m);j++;}\n\t\t\t\t}\/*\n\t\t\t\telse if (a[j]>a[j-1])\n\t\t\t\t{\n\t\t\t\t\twhile (j<=n&&a[j]>a[j-1]) {ans+=2*calc(a[i],a[j],m);j++;}\n\t\t\t\t}*\/\n\t\t\t}\n\t\t}\n\tfor (int i=1;i<=m;i++)\n\t\tif (b[i])\n\t\t{\n\t\t\tans+=2*calc(b[i],b[i],n);\n\t\t\tif (i>1&&b[i-1])\n\t\t\t{\n\t\t\t\tint j=i-1;\n\t\t\t\tif (b[j]<b[j+1])\n\t\t\t\t{\n\t\t\t\t\twhile (j>0&&b[j]&&b[j]<b[j+1]) {ans+=2*calc(b[j],b[i],n);j--;}\n\t\t\t\t}\/*\n\t\t\t\telse if (b[j]>b[j+1])\n\t\t\t\t{\n\t\t\t\t\twhile (j>0&&b[j]>b[j+1]) {ans+=2*calc(b[i],b[j],n);j--;}\n\t\t\t\t}*\/\n\t\t\t}\n\t\t\tif (i<m&&b[i+1])\n\t\t\t{\n\t\t\t\tint j=i+1;\n\t\t\t\tif (b[j]<b[j-1])\n\t\t\t\t{\n\t\t\t\t\twhile (j<=m&&b[j]&&b[j]<b[j-1]) {ans+=2*calc(b[j],b[i],n);j++;}\n\t\t\t\t}\/*\n\t\t\t\telse if (b[j]>b[j-1])\n\t\t\t\t{\n\t\t\t\t\twhile (j<=m&&b[j]>b[j-1]) {ans+=2*calc(b[i],b[j],n);j++;}\n\t\t\t\t}*\/\n\t\t\t}\n\t\t}\n\/\/\tcout<<ans<<endl;\n\tdouble _ans=double(ans)\/double(tot)\/double(tot);\n\tprintf("%.4lfn",_ans);\n\n\n\twhile (1);\n\n\treturn 0;\n\n\n}\n<\/pre>\n<\/p>\n
\n<\/p>\n
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#include<cstdio>\n#include<cstring>\n#include<queue>\n#include<cmath>\n#include<cstdlib>\n#include<iostream>\n#include<functional>\n#include<algorithm>\n#include<stack>\nusing namespace std;\n#define MAXN (1000+10)\n#define DELTA (0.00000001)\n#define F (10000000)\nint n,m;\nchar s[2000];\nint a[MAXN],b[MAXN];\n\/\/long long f[MAXN][MAXN];\nint calc(int l,int r,int n)\n{\n\treturn 2*(l-1)*(n-r);\n}\n\n\nint main()\n{\n\tfreopen("journey.in","r",stdin);\n\tfreopen("journey.out","w",stdout);\n\n\/\/\tmemset(f,0,sizeof(f));\n\tmemset(a,0,sizeof(a));\n\tmemset(b,0,sizeof(b));\n\n\tlong long tot=0;\n\tscanf("%d%d",&n,&m);\n\tfor (int i=1;i<=n;i++)\n\t{\n\t\tscanf("%s",s);\n\t\tfor (int j=0;j<m;j++)\n\t\t\tif (s[j]=='X')\n\t\t\t{\n\t\t\t\ttot++;\n\t\t\t\ta[i]=j+1;\n\t\t\t\tb[j+1]=i;\n\t\t\t\tbreak;\n\t\t\t}\n\t}\n\ttot=n*m-tot;\n\n\/\/\tfor (int i=1;i<=n;i++) cout<<a[i]<<' ';\n\n\t\/*\n\tfor (int i=1;i<=n;i++)\n\t\tfor (int j=1;j<=m;j++)\n\t\t{\n\t\t\tf[i][j]=f[i-1][j]+f[i][j-1]-f[i-1][j-1]+i*j*(i+j-2)+(i-1)*(j-1)*(i+j);\n\t\t\tif (a[i]==j) f[i][j]-=+i*j*(i+j-2);\n\t\t\telse\n\t\t\t{\n\t\t\t\tfor (int k=1;k<=i;k++)\n\t\t\t\t if (a[k]&&a[k]<=j)\n\t\t\t\t f[i][j]-=2*(i-k+j-a[k]);\n\n\n\t\t\t\tif (a[i]&&a[i]<j)\n\t\t\t\t\t f[i][j]-=(i-1)*(i+2*(j-a[i]));\n\t\t\t\tif (b[j]&&b[j]<i)\n\t\t\t\t\t f[i][j]-=(j-1)*(j+2*(i-b[j]));\n\t\t\t\tif (a[i]&&a[i]<j&&b[j]&&b[j]<i)\n\t\t\t\t\tf[i][j]+=2*((j-a[i])+(i-b[j]));\n\n\t\t\t}\n\/\/\t\t\tcout<<f[i][j]<<endl;\n\t\t}\n\/*\n\tfor (int i=0;i<=n;i++){\n\t\tfor (int j=0;j<=m;j++)\n\t\t\tcout<<f[i][j]<<' ';\n\t\tcout<<'n';\n\t}*\/\n\n\tlong long ans=0;\n\tfor (int i=1;i<n;i++)\n\t\tfor (int j=i+1;j<=n;j++)\n\t\t\tans+=(m-(a[i]>0))*(m-(a[j]>0))*(j-i);\n\tfor (int i=1;i<m;i++)\n\t\tfor (int j=i+1;j<=m;j++)\n\t\t\tans+=(n-(b[i]>0))*(n-(b[j]>0))*(j-i);\n\tans*=2;\n\n\n\n\n\n\/\/\tlong long ans=f[n][m];\n\/\/\tcout<<ans<<endl;\n\tfor (int i=1;i<=n;i++)\n\t\tif (a[i])\n\t\t{\n\t\t\tans+=2*calc(a[i],a[i],m);\n\t\t\tif (i>1&&a[i-1])\n\t\t\t{\n\t\t\t\tint j=i-1;\n\t\t\t\tif (a[j]<a[j+1])\n\t\t\t\t{\n\t\t\t\t\twhile (j>0&&a[j]&&a[j]<a[j+1]) {ans+=2*calc(a[j],a[i],m);j--;}\n\t\t\t\t}\n\t\t\t}\n\t\t\tif (i<n&&a[i+1])\n\t\t\t{\n\t\t\t\tint j=i+1;\n\t\t\t\tif (a[j]<a[j-1])\n\t\t\t\t{\n\t\t\t\t\twhile (j<=n&&a[j]&&a[j]<a[j-1]) {ans+=2*calc(a[j],a[i],m);j++;}\n\t\t\t\t}\n\t\t\t}\n\t\t}\n\tfor (int i=1;i<=m;i++)\n\t\tif (b[i])\n\t\t{\n\t\t\tans+=2*calc(b[i],b[i],n);\n\t\t\tif (i>1&&b[i-1])\n\t\t\t{\n\t\t\t\tint j=i-1;\n\t\t\t\tif (b[j]<b[j+1])\n\t\t\t\t{\n\t\t\t\t\twhile (j>0&&b[j]&&b[j]<b[j+1]) {ans+=2*calc(b[j],b[i],n);j--;}\n\t\t\t\t}\n\t\t\t}\n\t\t\tif (i<m&&b[i+1])\n\t\t\t{\n\t\t\t\tint j=i+1;\n\t\t\t\tif (b[j]<b[j-1])\n\t\t\t\t{\n\t\t\t\t\twhile (j<=m&&b[j]&&b[j]<b[j-1]) {ans+=2*calc(b[j],b[i],n);j++;}\n\t\t\t\t}\n\t\t\t}\n\t\t}\n\/\/\tcout<<ans<<endl;\n\tdouble _ans=double(ans)\/double(tot)\/double(tot);\n\tprintf("%.4lfn",_ans);\n\n\n\/\/\twhile (1);\n\n\treturn 0;\n\n\n}\n<\/pre>\n<\/p>\n
\n<\/p>\n
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