{"id":232,"date":"2012-11-05T16:41:00","date_gmt":"2012-11-05T08:41:00","guid":{"rendered":"http:\/\/nike0good.jp1.rpvhost.net\/137"},"modified":"2012-11-05T16:41:00","modified_gmt":"2012-11-05T08:41:00","slug":"backyard_the_number_of_combinations_is_the__segment_sentenced","status":"publish","type":"post","link":"https:\/\/nike0good.com\/?p=232","title":{"rendered":"\u540e\u9662 \uff08\u7ec4\u5408\u6570+\u7ebf\u6bb5\u5224\u91cd\uff09"},"content":{"rendered":"<\/p>\n

\u9898\u76ee\u63cf\u8ff0\u3011<\/strong><\/p>\n

    \u5de6\u4e0b\u89d2\u662f(0,0)\uff0c\u53f3\u4e0a\u89d2\u662f(W,H)\u7684\u7f51格\u4e0a\uff0c\u6709(W+1)*(H+1)\u4e2a格\u70b9\u3002\u73b0\u5728\u8981\u5728格\u70b9\u4e0a\u627eN\u4e2a\u4e0d\u540c\u7684\u70b9\uff0c\u4f7f\u5f97\u8fd9\u4e9b\u70b9\u5728\u4e00\u6761\u76f4\u7ebf\u4e0a\u3002\u5e76\u4e14\u5728\u8fd9\u6761\u76f4\u7ebf\u4e0a\uff0c\u76f8\u90bb\u70b9\u4e4b\u95f4\u7684\u8ddd\u79bb\u4e0d\u5c0f\u4e8eD\u3002\u6c42\u65b9\u6848\u6570\u6a211,000,000,000\u3002<\/p>\n

\n<\/p>\n

\"\"\n<\/p>\n

\u3010\u8f93\u5165格\u5f0f\u3011<\/strong><\/p>\n

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\u3010\u8f93\u51fa格\u5f0f\u3011<\/strong><\/p>\n

    T\u884c\uff0c\u6bcf\u884c\u4e00\u4e2a\u6574\u6570\u8868\u793a\u7b54\u6848\u3002<\/strong><\/p>\n

\u3010\u8f93\u5165\u8f93\u51fa\u6837\u4f8b\u3011<\/strong><\/p>\n\n\n\n\n
\n

backyard.in<\/strong><\/p>\n<\/td>\n

\n

backyard.out<\/strong><\/p>\n<\/td>\n<\/tr>\n

\n

6<\/p>\n

2 4 4 1<\/p>\n

13 36 48 5<\/p>\n

5 5 5 1<\/span><\/strong><\/p>\n

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6 5 5 2<\/p>\n

10 55 75 5<\/p>\n<\/td>\n

\n

300<\/p>\n

2<\/p>\n

88<\/p>\n

102<\/p>\n

0<\/p>\n

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 <\/p>\n

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    20%\u7684\u6570\u636e\uff0cN,W,H,D\u226410\u3002<\/p>\n

    50%\u7684\u6570\u636e\uff0cW,H,D\u2264100\u3002<\/p>\n

    \u53e620%\u7684\u6570\u636e\uff0cN\u22645\u3002<\/p>\n

    100%\u7684\u6570\u636e\uff0cN\u226450\uff0cW,H,D\u2264500\uff0cT\u226420\u3002<\/p>\n

 <\/p>\n

\u9996\u5148\u662fC(n,k) \u7684\u6c42\u6cd5<\/p>\n

\tC[0][0]=1;\n\tfor (int i=1;i<=501;i++)\n\t{\n\t\tC[i][0]=C[i][i]=1;\n\t\tfor (int j=1;j<=i-1;j++)\n\t\t\tC[i][j]=(C[i-1][j]+C[i-1][j-1])%F;\n\t}\n<\/pre>\n
\n\u8fd9\u4e2a\u8981\u80cc\u2026\u2026<\/p>\n
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\u6ce8\u610f\u8981\u628a\u7ebf\u6bb5\u653e\u5165\u70b9\u4e2d\uff0c\u6709\uff08n-1)*(k-1)\u6761\u7ebf\u6bb5\uff0c\u8fd9\u4e9b\u7ebf\u6bb5\u662f\u4e3a\u4e86\u8ba9\u6bcf\u6bb5\u90fd\u5927\u4e8ed\u7684\u6700\u5c0f\u70b9\u6570\uff0c\u6ce8\u610f\u6700\u5c0f\u95f4\u9694+1\u7684\u7cbe\u5ea6\u4e3aceil\uff08k=trunc(d\/dis-1e-7)+1\uff09<\/p>\n
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\n<\/p>\n
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\u8fd8\u8981\u8003\u8651\u5806\u6210\u7684\u7ebf\u6bb5->\u4f46\u662f\u6a2a\u7eb5\u7ebf\u662f\u4e0d\u9700\u8981*2\u7684<\/p>\n
\n<\/p>\n
\n<\/p>\n
\n<\/p>\n<\/p>\n
#include<cstdio>\n#include<cstring>\n#include<cmath>\n#include<cstdlib>\n#include<iostream>\n#include<functional>\n#include<algorithm>\nusing namespace std;\n#define MAXN (50+10)\n#define MAXW (500+10)\n#define MAXH (500+10)\n#define MAXD (500+10)\n#define MAXT (20+10)\n#define F (1000000000)\n#define eps 1e-10\nint t,n,w,h,d;\nlong long C[MAXW][MAXH]={0};\nint gcd(int a,int b)\n{\n\tif (b==0) return a;\n\telse return gcd(b,a%b);\n}\nint main()\n{\n\tfreopen("backyard.in","r",stdin);\n\tfreopen("backyard.out","w",stdout);\n\tscanf("%d",&t);\n\n\tC[0][0]=1;\n\tfor (int i=1;i<=501;i++)\n\t{\n\t\tC[i][0]=C[i][i]=1;\n\t\tfor (int j=1;j<=i-1;j++)\n\t\t\tC[i][j]=(C[i-1][j]+C[i-1][j-1])%F;\n\t}\n\n\twhile (t)\n\t{\n\t\tlong long ans=0;\n\t\tscanf("%d%d%d%d",&n,&w,&h,&d);\n\n\n\t\t\/\/ \u679a\u4e3e totnode-2\u53d6 \uff1f \u65f6\u3002\u81f3\u5c11\u67092\u4e2a\u70b9\u624d\u4e0d\u4f1aRe\n\t\tif (n==1)\n\t\t{\n\t\t\tcout<<(w+1)*(h+1)<<endl;\n\t\t\tt--;\n\t\t\tcontinue;\n\t\t}\n\n\t\tfor (int i=0;i<=w;i++)\n\t\t\tfor (int j=0;j<=h;j++)\t\/\/(0,0)->(x,y)\n\t\t\t{\n\t\t\t\tif (i==0&&j==0) continue;\n\t\t\t\tint g=gcd(i,j);\n\t\t\t\tint totnode=g+1;  \/\/\u76f4\u7ebf\u4e0a\u6574\u70b9\u6570\n\t\t\t\tif (totnode<n) continue;\n\t\t\t\tdouble dis=sqrt(double((i\/g)*(i\/g)+(j\/g)*(j\/g)));\n\t\t\t\tint k=int(trunc(double(d)\/dis-eps))+1; \/\/\u6700\u5c11\u7684\u80fd\u62fc\u51d1>=d\u7684dis\u6bb5\u6570\teg:d=2 dis=1 k=2\td=2.5 dis=1 k=3\n\t\t\t\tif (k*(n-1)+1>totnode) continue; \/\/\u6bb5\u6570n*[...)  +\u53f3\u7aef\u70b9\n\t\t\t\tans=(ans+(i==0||j==0?1:2 )*((((w-i+1)*(h-j+1))%F)*(C[totnode-2-(n-1)*(k-1)][n-2]%F)))%F;  \/\/\u6a2a\u7ebf \u7eb5\u7ebf\u7684\u7279\u5224\n\t\t\/\/\t\tcout<<ans;\n\n\t\t\/\/\t\tcout<<i<<' '<<j<<' '<<ans<<endl;\n\t\t\t}\n\t\tt--;\n\t\tprintf("%dn",ans);\n\t}\n\/\/\twhile (1);\n\treturn 0;\n}\n<\/pre><\/p>\n","protected":false},"excerpt":{"rendered":"
\u9898\u76ee\u63cf\u8ff0\u3011     \u5de6\u4e0b\u89d2\u662f(0,0)\uff0c\u53f3\u4e0a\u89d2\u662f(W,H)\u7684\u7f51格\u4e0a […]<\/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":[111],"class_list":["post-232","post","type-post","status-publish","format-standard","hentry","category-defaultcategory","tag-combinatorial_mathematics"],"yoast_head":"\n\u540e\u9662 \uff08\u7ec4\u5408\u6570+\u7ebf\u6bb5\u5224\u91cd\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=232\" \/>\n<meta property=\"og:locale\" content=\"zh_CN\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"\u540e\u9662 \uff08\u7ec4\u5408\u6570+\u7ebf\u6bb5\u5224\u91cd\uff09 - 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