{"id":302,"date":"2012-12-30T12:48:00","date_gmt":"2012-12-30T04:48:00","guid":{"rendered":"http:\/\/nike0good.jp1.rpvhost.net\/207"},"modified":"2012-12-30T12:48:00","modified_gmt":"2012-12-30T04:48:00","slug":"poj_1269_the_point_of_intersection","status":"publish","type":"post","link":"https:\/\/nike0good.com\/?p=302","title":{"rendered":"POJ 1269(\u76f4\u7ebf\u7684\u4ea4\u70b9)"},"content":{"rendered":"\n\n\n
\n
Language:\n\n\n\n
Time Limit:<\/strong> 1000MS<\/td>\n <\/td>\nMemory Limit:<\/strong> 10000K<\/td>\n<\/tr>\n
Total Submissions:<\/strong> 7657<\/td>\n <\/td>\nAccepted:<\/strong> 3510<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<\/div>\n

Description<\/p>\n

\n\u6c42\u4e24\u6761\u76f4\u7ebf\u76f8\u4ea4\u90e8\u5206\uff0c\u7ed9\u51fa\u7684\u5750\u6807\u7684\u8303\u56f4\u5728 -1000 \u5230 1000 \u4e4b\u95f4\u4e14\u4e3a\u6574\u6570. \n<\/div>\n

Input<\/p>\n

\n\u7b2c\u4e00\u884c\u4e3a\u6570\u636e\u7ec4\u6570 N\u226410 <\/div>\n
\n\u63a5\u4e0b\u6765N\u884c\uff0c\u6bcf\u884c\u4e3ax1y1x2y2x3y3x4y4.\u8868\u793a\u7b2c\u4e00\u6761\u76f4\u7ebf\u8fc7 (x1,y1) \u548c (x2,y2) \uff0c\u7b2c\u4e8c\u6761\u8fc7 (x3,y3) \u548c (x4,y4). \u4fdd\u8bc1\u76f4\u7ebf\u80fd\u88ab\u786e\u5b9a.<\/div>\n

Output<\/p>\n

\n\u8f93\u51fa N+2 \u7b2c\u4e00\u884c\u8f93\u51faINTERSECTING LINES OUTPUT. \u63a5\u4e0b\u6765\u6bcf\u884c\u8f93\u51fa\u76f8\u4ea4\u90e8\u5206 none, line, \u6216 point x y(\u4fdd\u75592\u4f4d\u5c0f\u6570). \u6700\u540e1\u884c\u8f93\u51fa "END OF OUTPUT".<\/div>\n

Sample Input<\/p>\n

5\n0 0 4 4 0 4 4 0\n5 0 7 6 1 0 2 3\n5 0 7 6 3 -6 4 -3\n2 0 2 27 1 5 18 5\n0 3 4 0 1 2 2 5\n<\/pre>\n
Sample Output<\/p>\n
INTERSECTING LINES OUTPUT\nPOINT 2.00 2.00\nNONE\nLINE\nPOINT 2.00 5.00\nPOINT 1.07 2.20\nEND OF OUTPUT\n<\/pre>\n
Source<\/p>\n
\nMid-Atlantic 1996<\/a><\/div>\n<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n
<\/p>\n
\u6a21\u677f\u5982\u4e0b\uff1a<\/span><\/p>\n
\u6ce8\u610f* \u8868\u793a\u53c9\u79ef<\/span><\/p>\n
\u8fd9\u9898\u6d89\u53ca\u5df2\u77e5\u76f8\u4ea4\uff0c\u7ebf\u6bb5\u8de8\u7acb\u6c42\u4ea4\u70b9<\/span><\/p>\n
\u5f02\u4fa7\u60c5\u51b5\uff1a<\/span><\/p>\n
\"\"
\n<\/span><\/p>\n
\u540c\u4fa7\u60c5\u51b5\uff1a<\/span><\/p>\n
\"\"
\n<\/span><\/p>\n

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

\n<\/span><\/p>\n
<\/span><\/p>\n
#include<cstdio>\n#include<cstring>\n#include<cmath>\n#include<cstdlib>\n#include<iostream>\n#include<algorithm>\n#include<functional>\nusing namespace std;\n#define eps 1e-8\ndouble sqr(double x) {return x*x;}\nstruct P\n{\n\tdouble x,y;\n\tP(double _x,double _y):x(_x),y(_y){}\n\tP(){}\n\tdouble dis()\n\t{\n\t\treturn sqrt(sqr(x)+sqr(y));\n\t}\n};\nstruct V\n{\n\tdouble x,y;\n\tV(double _x,double _y):x(_x),y(_y){}\n\tV(P a,P b):x(b.x-a.x),y(b.y-a.y){}\n\tV(){}\n\tconst double dis()\n\t{\n\t\treturn sqrt(sqr(x)+sqr(y));\n\t}\n};\nP operator+(const P a,const V b)\n{\n\treturn P(a.x+b.x,a.y+b.y);\n}\nV operator*(const double a,const V b)\n{\n\treturn V(a*b.x,a*b.y);\n}\ndouble operator*(const V a,const V b)\n{\n\treturn a.x*b.y-b.x*a.y;\n}\nP jiao_dian(const V a,V b,const V c,const V CD,const P C)\n{\n\tdouble d;\n\td=b.dis();\n\tdouble s1=a*b,s2=b*c;\n\tdouble k=s1\/(s1+s2);\n\treturn C+k*CD;\n}\nbool equal(const double a,const double b)\n{\n\tif (abs(a-b)<eps) return 1;return 0;\n}\nint n;\nint main()\n{\n\/\/s\tfreopen("poj1269.in","r",stdin);\n\tcout<<"INTERSECTING LINES OUTPUT"<<endl;\n\tscanf("%d",&n);\n\tfor (int i=1;i<=n;i++)\n\t{\n\t\tdouble x1,y1,x2,y2,x3,y3,x4,y4;\n\t\tscanf("%lf%lf%lf%lf%lf%lf%lf%lf",&x1,&y1,&x2,&y2,&x3,&y3,&x4,&y4);\n\t\tP A=P(x1,y1),B=P(x2,y2),C=P(x3,y3),D=P(x4,y4);\n\t\tV AB=V(A,B),AC=V(A,C),AD=V(A,D),CD=V(C,D);\n\t\tif (equal((AB*CD),0))\n\t\t{\n\t\t\tif (equal((AC*AD),0)) cout<<"LINEn";\n\t\t\telse cout<<"NONEn";\n\t\t}\n\t\telse\n\t\t{\n\t\t\tP p=jiao_dian(AC,AB,AD,CD,C);\n\t\t\tcout.setf(ios::fixed);\n\t\t\tcout.precision(2);\n\t\t\tcout<<"POINT "<<p.x<<' '<<p.y<<endl;\n\t\t}\n\t}\n\tcout<<"END OF OUTPUT"<<endl;\n\treturn 0;\n}<\/pre>\n<\/p>\n
<\/p>\n","protected":false},"excerpt":{"rendered":"
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