{"id":217,"date":"2012-10-27T17:35:00","date_gmt":"2012-10-27T09:35:00","guid":{"rendered":"http:\/\/nike0good.jp1.rpvhost.net\/122"},"modified":"2012-10-27T17:35:00","modified_gmt":"2012-10-27T09:35:00","slug":"palette_minimum_farthest_point_of_the_3-dimensional_k-points_-_the_inclusion-exclusion_principle","status":"publish","type":"post","link":"https:\/\/nike0good.com\/?p=217","title":{"rendered":"\u8c03\u8272\u76d8 (3\u7ef4k\u70b9\u6700\u5c0f\u6700\u8fdc\u70b9\u5bf9-\u5bb9\u65a5\u539f\u7406\uff09"},"content":{"rendered":"

\u8c03\u8272\u76d8(pastele)<\/strong><\/p>\n

\u9898\u76ee\u63cf\u8ff0<\/p>\n

Albus\u5f97\u5230\u4e86\u4e00\u4efd礼\u7269\uff1a\u6765\u81eaPolaris\u7684\u6c34\u5f69\u6cb9\u58a8\u5305\u3002<\/p>\n

Polaris\u7684\u6cb9\u58a8\u5305\u91cc\u9762\u6709N\u4e2a\u989c\u8272\uff0c\u73b0\u5728Albus\u6253\u7b97\u9009\u5176\u4e2d\u7684K\u79cd\u6765\u4f5c\u4e00\u5e45\u98ce\u666f\u753b\u3002<\/p>\n

\u65e2\u7136\u662f\u98ce\u666f\u753b\uff0c\u989c\u8272\u5c31\u4e0d\u80fd\u592a\u7a81\u5140\u3002\u56e0\u6b64Albus\u8fdb\u884c\u4e86\u5982\u4e0b\u7684\u5b9a\u4e49\uff1a<\/p>\n

\u6bcf\u4e2a\u989c\u8272\u7531\u4e09\u4e2a\u5c5e\u6027\u523b\u753b\uff1aR[i],G[i],B[i]\u3002<\/p>\n

\u4e24\u4e2a\u989c\u8272\u7684\u201c\u8ddd\u79bb\u201d\u6307\u5b83\u4eec\u4e09\u4e2a\u5c5e\u6027\u7684\u6700\u5927\u5dee值\uff0c\u4e5f\u5c31\u662fMax(|Ri-Rj|,|Gi-Gj|,|Bi-Bj|)\u3002<\/p>\n

\u800cK\u4e2a\u989c\u8272\u7684\u8ddd\u79bb\uff0c\u6307\u7684\u662f\u5176\u4e2d\u4efb\u610f\u4e24\u4e2a\u989c\u8272\u7684\u6700\u5927\u8ddd\u79bb\u3002<\/p>\n

\u4f60\u7684\u4efb\u52a1\u662f\u6c42\u51fa\u53ef\u80fd\u7684\u6700\u5c0f\u8ddd\u79bb\u3002<\/p>\n

 <\/p>\n

\u8f93\u5165<\/p>\n

\u7b2c\u4e00\u884c\u4e24\u4e2a\u6574\u6570N\u548cK\u3002<\/p>\n

\u63a5\u4e0b\u6765N\u884c\uff0c\u6bcf\u884c\u4e09\u4e2a\u6574\u6570R[i],G[i],B[i]\u3002<\/p>\n

\u8f93\u51fa<\/p>\n

\u53ef\u80fd\u7684\u6700\u5c0f\u8ddd\u79bb\u3002<\/p>\n

 <\/p>\n

\u6837\u4f8b\u8f93\u5165<\/p>\n

5 3<\/p>\n

6 6 4<\/p>\n

6 2 7<\/p>\n

3 1 3<\/p>\n

4 1 5<\/p>\n

6 2 6<\/p>\n

\u6837\u4f8b\u8f93\u51fa<\/p>\n

2<\/p>\n

\u89e3\u91ca<\/p>\n

\u90091,4,5\u4e09\u4e2a\u989c\u8272\u3002<\/p>\n

\u6570\u636e\u8303\u56f4<\/p>\n

\u5bf9\u4e8e10%\u7684\u6570\u636e\uff0cN<=10<\/p>\n

\u5bf9\u4e8e50%\u7684\u6570\u636e\uff0c0<=Ri,Gi,Bi<=20\uff0c2<=K<=N<=100<\/p>\n

\u5bf9\u4e8e80%\u7684\u6570\u636e\uff0c0<=Ri,Gi,Bi<=50,2<=K<=N<=10000<\/p>\n

\u5bf9\u4e8e100%\u7684\u6570\u636e\uff0c2<=K<=N<=100000,0<=Ri,Gi,Bi<=150<\/p>\n

\n<\/p>\n

<\/span>a[x][y][z]=c[x][y][z]+c[x-1][y-1][z]+c[x][y-1][z-1]+c[x-1][y][z-1]-c[x-1][y][z]-c[x][y-1][z]-c[x][y][z-1]-c[x-1][y-1][z-1];
\n<\/span>c[x][y][z]=a[x][y][z]-(c[x-1][y-1][z]+c[x][y-1][z-1]+c[x-1][y][z-1]-c[x-1][y][z]-c[x][y-1][z]-c[x][y][z-1]-c[x-1][y-1][z-1]);\n<\/p>\n

\n<\/p>\n

\u5bb9\u65a5\u539f\u7406<\/p>\n

\n<\/p>\n

\n

#include<cstdio>\n#include<cstdlib>\n#include<cstring>\n#include<cmath>\n#include<iostream>\n#include<functional>\n#include<algorithm>\nusing namespace std;\n#define MAXN (150+10)\n#define MAXX (151)\nint n,k,a[MAXN][MAXN][MAXN]={0},c[MAXN][MAXN][MAXN]={0};\nint Node_count(int x,int y,int z,int l)\n{\n\tif (z-l<0||y-l<0||z-l<0) return 0;\n\treturn c[x][y][z]+c[x-l][y-l][z]+c[x][y-l][z-l]+c[x-l][y][z-l]-c[x-l][y][z]-c[x][y-l][z]-c[x][y][z-l]-c[x-l][y-l][z-l];\n\n}\nint main()\n{\n\tfreopen("pastele.in","r",stdin);\n\tfreopen("pastele.out","w",stdout);\n\n\tscanf("%d%d",&n,&k);\n\tfor (int i=1;i<=n;i++)\n\t{\n\t\tint x,y,z;\n\t\tscanf("%d%d%d",&x,&y,&z);\n\t\ta[x+1][y+1][z+1]++;\n\t}\n\n\n\t\/*\n\t\ta[x][y][z]=c[x][y][z]+c[x-1][y-1][z]+c[x][y-1][z-1]+c[x-1][y][z-1]-c[x-1][y][z]-c[x][y-1][z]-c[x][y][z-1]-c[x-1][y-1][z-1];\n\t\tc[x][y][z]=a[x][y][z]-(c[x-1][y-1][z]+c[x][y-1][z-1]+c[x-1][y][z-1]-c[x-1][y][z]-c[x][y-1][z]-c[x][y][z-1]-c[x-1][y-1][z-1]);\n\n\t*\/\n\n\tfor (int x=1;x<=MAXX;x++)\n\t\tfor (int y=1;y<=MAXX;y++)\n\t\t\tfor (int z=1;z<=MAXX;z++)\n\t\t\t\tc[x][y][z]=a[x][y][z]-(c[x-1][y-1][z]+c[x][y-1][z-1]+c[x-1][y][z-1]-c[x-1][y][z]-c[x][y-1][z]-c[x][y][z-1]-c[x-1][y-1][z-1]);\n\n\t\/*\n\tfor (int i=1;i<=10;i++)\n\tfor (int j=1;j<=10;j++)\n\tfor (int k=1;k<=10;k++)\n\t\tif (c[i][j][k]) cout<<i<<' '<<j<<' '<<k<<' '<<c[i][j][k]<<endl;\n\tcout<<Node_count(6,6,6,6);\n\t*\/\n\n\tint ans=MAXX;\/\/\u6210\u7acb \u533a\u95f4  (0 ,MAXX]\n\tfor (int x=MAXX;x>=1;x--)\n\t\tfor (int y=MAXX;y>=1;y--)\n\t\t\tfor (int z=MAXX;z>=1;z--)\n\t\t\t{\n\t\t\t\tif (ans&&k<=Node_count(x,y,z,ans)) ans--;\n\t\t\t}\n\tcout<<ans<<endl;\n\n\n\/\/\twhile (1);\n\treturn 0;\n}\n<\/pre>\n<\/p>\n
<\/p>\n","protected":false},"excerpt":{"rendered":"
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