{"id":372,"date":"2013-03-27T16:05:00","date_gmt":"2013-03-27T08:05:00","guid":{"rendered":"http:\/\/nike0good.jp1.rpvhost.net\/276"},"modified":"2013-03-27T16:05:00","modified_gmt":"2013-03-27T08:05:00","slug":"bzoj_1185_hnoi2007_smallest_rectangle_covering_-_rotating_stuck__point_set_geometric_meaning","status":"publish","type":"post","link":"https:\/\/nike0good.com\/?p=372","title":{"rendered":"BZOJ 1185([HNOI2007]\u6700\u5c0f\u77e9\u5f62\u8986\u76d6-\u65cb\u8f6c\u5361\u58f3+\u70b9\u96c6\u51e0\u4f55\u610f\u4e49)"},"content":{"rendered":"<p><center style=\"font-family:arial,verdana,helvetica,sans-serif; font-size:14px\"><\/p>\n<h2 style=\"color:blue\">1185: [HNOI2007]\u6700\u5c0f\u77e9\u5f62\u8986\u76d6<\/h2>\n<p><span class=\"green\">Time Limit:&nbsp;<\/span>10 Sec&nbsp;&nbsp;<span class=\"green\">Memory Limit:&nbsp;<\/span>162 MBSec&nbsp;&nbsp;<span class=\"red\">Special Judge<\/span><br \/>\n<span class=\"green\">Submit:&nbsp;<\/span>258&nbsp;&nbsp;<span class=\"green\">Solved:&nbsp;<\/span>137<\/center><\/p>\n<h2 style=\"font-family:arial,verdana,helvetica,sans-serif; color:blue\">Description<\/h2>\n<div class=\"content\" style=\"font-family:arial,verdana,helvetica,sans-serif; height:auto; background-color:rgb(228,240,248); margin:0px; padding:0px 20px; font-size:14px\">\n<p><img decoding=\"async\" src=\"http:\/\/nike0good.jp1.rpvhost.net\/wp-content\/uploads\/csdn\/other_site\/img_my_1364371581_1948.png\" alt=\"\" \/>&nbsp;<\/p>\n<\/div>\n<h2 style=\"font-family:arial,verdana,helvetica,sans-serif; color:blue\">\n<\/h2>\n<div><img decoding=\"async\" src=\"http:\/\/nike0good.jp1.rpvhost.net\/wp-content\/uploads\/csdn\/other_site\/img_my_1364371652_1057.png\" alt=\"\" \/>\n<\/div>\n<div><span style=\"font-size:14px\">l\u8981\u4e8b\u5148\u6539\u6210r\uff0c\u6ce8\u610f\u628a\u5411\u91cf\u76842\u70b9\u8bbe\u6210\u540c\u4e00\u70b9\u4f1a\u51fa\u73b0\u5947\u5999\u7684\u4e8b\u60c5<\/span><\/div>\n<div><span style=\"font-size:14px\"><\/span><\/p>\n<pre name=\"code\" class=\"cpp\">#include&lt;cstdio&gt;\n#include&lt;cstdlib&gt;\n#include&lt;cstring&gt;\n#include&lt;iostream&gt;\n#include&lt;algorithm&gt;\n#include&lt;functional&gt;\n#include&lt;cmath&gt;\nusing namespace std;\n#define MAXN (50000+10)\n#define INF (1000000000)\n#define eps 1e-6\nstruct P\n{\n\tdouble x,y;\n\tP(){}\n\tP(double _x,double _y):x(_x),y(_y){}\n\tfriend bool operator&lt;(P a,P b){return (fabs(a.y-b.y)&lt;eps)?a.x&lt;b.x:a.y&lt;b.y;\t}\n\tfriend bool operator==(P a,P b){return fabs(a.x-b.x)&lt;eps&amp;&amp;fabs(a.y-b.y)&lt;eps;}\n\tfriend bool operator!=(P a,P b){return !(a==b);}\n\n}a[MAXN],s[MAXN],ansp[5];\nint size=0;\ndouble ans=INF;\ndouble dis2(P a,P b){return (a.x-b.x)*(a.x-b.x)+(a.y-b.y)*(a.y-b.y);}\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\tfriend double operator*(V a,V b){return\ta.x*b.y-a.y*b.x;}\n\tfriend V operator*(double a,V b){return V(a*b.x,a*b.y);}\n\tfriend double operator\/(V a,V b){return\ta.x*b.x+a.y*b.y;}\n\tfriend P operator+(P a,V b){return P(a.x+b.x,a.y+b.y);}\n\tfriend P operator-(P a,V b){return P(a.x-b.x,a.y-b.y);}\n\tfriend V operator~(V a){return V(a.y,-a.x);}\n\tdouble dis2(){return x*x+y*y;\t}\n}c[MAXN];\nint cmp(P A,P B)\n{\n\tdouble tmp=V(a[1],A)*V(a[1],B);\n\tif (tmp&gt;0) return 1;\n\telse if (fabs(tmp)&lt;eps) return (-dis2(A,a[1])-dis2(B,a[1])&gt;0);\n\treturn 0;\n}\nint n;\n\nint main()\n{\n\tscanf(&quot;%d&quot;,&amp;n);\n\tfor(int i=1;i&lt;=n;i++) scanf(&quot;%lf%lf&quot;,&amp;a[i].x,&amp;a[i].y);\n\tfor (int i=2;i&lt;=n;i++) if (a[i]&lt;a[1]) swap(a[1],a[i]);\n\tsort(a+2,a+1+n,cmp);\n\ts[1]=a[1];size=1;\n\tfor (int i=2;i&lt;=n;)\n\t\tif (size&lt;2||V(s[size-1],s[size])*V(s[size],a[i])&gt;eps) s[++size]=a[i++];\n\t\telse size--;\n\ts[0]=s[size];\n\n\tint l=1,r=1,t=1;\n\tfor (int i=0;i&lt;size;i++)\n\t{\n\t\twhile (V(s[i],s[i+1])*V(s[i],s[t+1])-V(s[i],s[i+1])*V(s[i],s[t])&gt;-eps) t=(t+1)%size;\n\t\twhile (V(s[i],s[i+1])\/V(s[i],s[r+1])-V(s[i],s[i+1])\/V(s[i],s[r])&gt;-eps) r=(r+1)%size;\n\t\tif (i==0) l=r;\n\t\twhile (V(s[i],s[i+1])\/V(s[i],s[l+1])-V(s[i],s[i+1])\/V(s[i],s[l])&lt;eps) l=(l+1)%size;\n\t\tdouble Dis2=dis2(s[i],s[i+1]),wlxdis=V(s[i],s[i+1])\/V(s[i],s[l]),wrxdis=V(s[i],s[i+1])\/V(s[i],s[r]),hxdis=V(s[i],s[i+1])*V(s[i],s[t]);\n\t\tdouble tmp=hxdis*(wrxdis-wlxdis)\/Dis2;\n\t\tif (tmp&lt;0) tmp=-tmp;\n\t\tif (ans&gt;tmp)\n\t\t{\n\t\t\tans=tmp;\n\t\t\tansp[0]=s[i]-(wlxdis\/Dis2)*V(s[i+1],s[i]);\n\t\t\tansp[1]=s[i]+(wrxdis\/Dis2)*V(s[i],s[i+1]);\n\t\t\tansp[2]=ansp[1]+(hxdis\/Dis2)*(~V(s[i+1],s[i]));\n\t\t\tansp[3]=ansp[0]+(hxdis\/Dis2)*(~V(s[i+1],s[i]));\n\t\t}\n\t}\n\tint p=0;\n\tfor (int i=1;i&lt;4;i++) if (ansp[i]&lt;ansp[p]) p=i;\/\/p=0;\n\tprintf(&quot;%.5lfn&quot;,ans);\n\tfor (int i=0;i&lt;4;i++)\n\t\tprintf(&quot;%.5lf %.5lfn&quot;,ansp[(p+i)%4].x,ansp[(p+i)%4].y);\n\treturn 0;\n}<\/pre>\n<\/div>\n<div><span style=\"font-size:14px\"><br \/>\n<\/span><\/div>\n<div>\n<\/div>\n<div>\n<\/div>\n<div>\n<\/div>\n","protected":false},"excerpt":{"rendered":"<p>1185: [HNOI2007]\u6700\u5c0f\u77e9\u5f62\u8986\u76d6 Time Limit:&nbsp;10 Sec&nbsp;&#038;nb [&hellip;]<\/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":[83],"class_list":["post-372","post","type-post","status-publish","format-standard","hentry","category-defaultcategory","tag-rotating_stuck"],"yoast_head":"<!-- This site is optimized with the Yoast SEO plugin v27.4 - https:\/\/yoast.com\/product\/yoast-seo-wordpress\/ -->\n<title>BZOJ 1185([HNOI2007]\u6700\u5c0f\u77e9\u5f62\u8986\u76d6-\u65cb\u8f6c\u5361\u58f3+\u70b9\u96c6\u51e0\u4f55\u610f\u4e49) - nike0good<\/title>\n<meta name=\"robots\" content=\"index, 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