{"id":305,"date":"2013-01-18T11:54:00","date_gmt":"2013-01-18T03:54:00","guid":{"rendered":"http:\/\/nike0good.jp1.rpvhost.net\/210"},"modified":"2013-01-18T11:54:00","modified_gmt":"2013-01-18T03:54:00","slug":"poj_2187_convex_hull_grahamscan_scan__polar_angle_of_the_the_sort__plane_farthest_point_on_the","status":"publish","type":"post","link":"https:\/\/nike0good.com\/?p=305","title":{"rendered":"POJ 2187(\u51f8\u5305GrahamScan\u626b\u63cf+\u6781\u89d2\u6392\u5e8f+\u5e73\u9762\u6700\u8fdc\u70b9\u5bf9\uff09"},"content":{"rendered":"\n\n\n
\n
Language:\n\n\n\n
Time Limit:<\/strong> 3000MS<\/td>\n <\/td>\nMemory Limit:<\/strong> 65536K<\/td>\n<\/tr>\n
Total Submissions:<\/strong> 22454<\/td>\n <\/td>\nAccepted:<\/strong> 6868<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<\/div>\n

Description<\/p>\n

\n\u6c42 N (2 <= N <= 50,000) \u4e2a\u70b9\u5e73\u9762\u6700\u8fdc\u70b9\u5bf9\u8ddd\u79bb\u7684<\/span>\u5e73\u65b9. <\/p>\n<\/div>\n

Input<\/p>\n

\n* \u7b2c1\u884c:N <\/p>\n

\u63a5\u4e0b\u6765\u6bcf\u884c\u4e3a\u70b9\u7684\u5750\u6807 x \u548c y ,(x,y)(-10,000<=x,y<=10,000\u7684\u6574\u6570).<\/span> \n<\/div>\n

Output<\/p>\n

\n\u8f93\u51fa\u4e00\u884c\uff0c\u4e3a\u5e73\u9762\u6700\u8fdc\u70b9\u5bf9\u8ddd\u79bb\u5e73\u65b9. \n<\/div>\n

Sample Input<\/p>\n

4\n0 0\n0 1\n1 1\n1 0\n<\/pre>\n
Sample Output<\/p>\n
2\n<\/pre>\n
Hint<\/p>\n
\n(0, 0) a\u5230 (1, 1) \u8ddd\u79bb\u5e73\u65b9\u4e3a 2 \n<\/div>\n
Source<\/p>\n
\nUSACO 2003 Fall<\/a><\/div>\n<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n
\u51f8\u5305\u6a21\u7248\u9898<\/span>\uff1a<\/span><\/p>\n
\u5148\u7528GrahamScan\u626b\u63cf\u6c42\u51f8\u5305\uff0c\u663e\u7136\u6700\u8fdc\u70b9\u5bf9\u5728\u51f8\u5305\u4e0a\u3002<\/span><\/p>\n

\n<\/span><\/p>\n
\u6781\u89d2\u6392\u5e8f\uff1a<\/span><\/p>\n
\u6309\u7167\u9006\u65f6\u9488\u987a\u5e8f\u7ed9\u5e73\u9762\u4e0a\u7684\u70b9\u96c6\u5230\u4e00\u4e2a\u70b9\u7684\u8ddd\u79bb\u6392\u5e8f\uff0c\u4f7f\u5f97\u6392\u5e8f\u540e\u6240\u6709\u70b9\u6b63\u597d\u7ed5\u8fd9\u4e2a\u70b9\u4e00\u5708.\uff08\u6309\u8ddd\u79bb\u8fdc\u8fd1\u4ece\u5c0f\u5230\u5927\u6392<\/span><\/p>\n
\u601d\u8def\uff1a<\/span><\/p>\n
\"\"
\n<\/span><\/p>\n
GrahamScan\u626b\u63cf\uff1a<\/span><\/p>\n
\"\"\n<\/p>\n
\"\"\n<\/p>\n
\"\"\n<\/p>\n
\"\"
\n<\/span><\/p>\n
\"\"
\n<\/span><\/span><\/p>\n
\"\"
\n<\/span><\/span><\/p>\n
\"\"
\n<\/span><\/span><\/p>\n
\"\"
\n<\/span><\/span><\/p>\n
\"\"
\n<\/span><\/span><\/p>\n
\u5927\u81f4\u5982\u6b64.<\/span><\/p>\n

\n<\/span><\/p>\n
\u53e6\u8865\uff1a<\/span><\/p>\n
\u8be5\u9898\u5c0fBug-\u6709\u53ef\u80fd\u6240\u6709\u70b9\u5728\u4e00\u6761\u76f4\u7ebf\u4e0a\u3002<\/span><\/span><\/p>\n
\u8fd9\u6837\u4e5f\u80fd\u6c42\u51fa\uff1a<\/span><\/span><\/p>\n
Ex:<\/span><\/span><\/p>\n
a\u5e8f\u5217\uff08-1\uff0c0\uff09 \uff080\uff0c0)    \uff084\uff0c0\uff09   \uff089\uff0c0\uff09<\/span><\/p>\n
\u5219st\u5e8f\u5217\u91cd\u590d\u5982\u4e0b\u64cd\u4f5c\uff1a<\/span><\/span><\/p>\n
\uff08-1\uff0c1\uff09\uff0c\uff080\uff0c0\uff09\u5165\u961f\u3002<\/span><\/span><\/p>\n
\uff084\uff0c0\uff09\u5165\u961f\uff0c\u4e0d\u5de6\u62d0->\uff080\uff0c0\uff09\u51fa\u961f<\/span><\/span><\/p>\n
\u961f\u5217\u5143\u7d20<2 \uff084\uff0c0\uff09\u5165\u961f<\/span><\/p>\n
\u2026\u2026<\/span><\/p>\n

\n<\/span><\/p>\n
<\/span><\/p>\n
#include<cstdio>\n#include<cstdlib>\n#include<cstring>\n#include<cmath>\n#include<iostream>\n#include<algorithm>\n#include<functional>\nusing namespace std;\n#define MAXN (50000+10)\ndouble sqr(double x){return x*x;}\nstruct P\n{\n\tdouble x,y;\n\tP(){}\n\tP(double _x,double _y):x(_x),y(_y){}\n}a[MAXN],st[MAXN];\nint dis2(P A,P B)\n{\n\treturn sqr(A.x-B.x)+sqr(A.y-B.y);\n}\ndouble dis(P A,P B)\n{\n\treturn sqrt(double(dis2(A,B)));\n}\nstruct V\n{\n\tdouble x,y;\n\tV(){}\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};\ndouble operator*(V a,V b)\n{\n\treturn a.x*b.y-a.y*b.x;\n}\nint cmp(P A,P B) \/\/1:a>b 0:a<=b\n{\n\tdouble tmp=V(a[1],A)*V(a[1],B);\n\tif (tmp>0) return 1;\n\telse if (tmp==0) return (-(dis(a[1],A)-dis(a[1],B))>0)?1:0;\n\telse return 0;\n}\nint n;\nint main()\n{\n\tscanf("%d",&n);\n\tfor (int i=1;i<=n;i++) cin>>a[i].x>>a[i].y;\n\tint p=1;\n\tfor (int i=2;i<=n;i++) if (a[i].x<a[p].x||a[i].x==a[p].x&&a[i].y<a[p].y) p=i;\n\tif (p>1) swap(a[p],a[1]);\n\tsort(a+2,a+1+n,cmp);\n\n\tint size=1;\n\tst[1]=a[1];\n\tfor (int i=2;i<=n;)\n\t\tif (size<2||V(st[size-1],st[size])*V(st[size],a[i])>0)\n\t\t\tst[++size]=a[i++];\n\t\telse size--;\n\n\tint ans=0;\n\tfor (int i=1;i<size;i++)\n\t\tfor (int j=i+1;j<=size;j++)\n\t\t\tans=max(ans,dis2(st[i],st[j]));\n\tcout<<ans<<endl;\n\n\n\treturn 0;\n}<\/pre>\n<\/p>\n

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

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

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

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

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

\n<\/span><\/p>\n
<\/p>\n","protected":false},"excerpt":{"rendered":"
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