{"id":194,"date":"2012-10-18T13:15:00","date_gmt":"2012-10-18T05:15:00","guid":{"rendered":"http:\/\/nike0good.jp1.rpvhost.net\/99"},"modified":"2012-10-18T13:15:00","modified_gmt":"2012-10-18T05:15:00","slug":"of_poj_3575_computational_geometry_with_two_points_-_endless_decimal_processing","status":"publish","type":"post","link":"https:\/\/nike0good.com\/?p=194","title":{"rendered":"POJ 3575(\u8ba1\u7b97\u51e0\u4f55\u4e0e\u4e8c\u5206-\u65e0\u5c3d\u7684\u5c0f\u6570\u5904\u7406\uff09"},"content":{"rendered":"<p>\u8fd9\u9898 \u5199\u4e86\u5c06\u8fd1\u534a\u4e2a\u6708\u2026\u2026\u603b\u662f\u5728D\u5404\u79cdBug<\/p>\n<p>\u603b\u7684\u8bf4\u6765-\u8fd9\u9898\u6700\u96be\u5e94\u8be5\u662f\u5728\u7cbe\u5ea6\u5904\u7406\u4e0a<\/p>\n<p>1<\/p>\n<p>1<\/p>\n<p>0 0 1<\/p>\n<p>\u8fd9\u7ec4\u6570\u636e\u8fc7\u4e86\u5c31\u8bf4\u660e\u7cbe\u5ea6\u5904\u7406\u5dee\u4e0d\u591a\u4e86\u2026\u2026<\/p>\n<p>\n<\/p>\n<p><pre name=\"code\" class=\"delphi\">Program kingdom;\nconst\n   maxn=100;\n   maxm=100;\n   le=0.000000001;\ntype\n   circle=record\n            x,y,r:double;\n          end;\nvar\n   s:array[1..maxn,1..1000] of circle;\n   n,i,j,k:longint;\n   m:array[1..maxn] of longint;\n   ans:array[1..maxn,1..4] of double;\n   wanted:array[1..maxn] of double;\n   b:array[1..maxn] of boolean;\n   l,r:double;\nfunction arccos(cosa:double):double;\nvar\n   sina,tana:double;\nbegin\n   if cosa=0 then exit(pi\/2);\n\n   sina:=sqrt(1-sqr(cosa));\n   tana:=sina\/cosa;\n   exit(arctan(tana));\n\nend;\nfunction min(a,b:double):double;\nbegin\n   if a&lt;b then exit(a) else exit(b);\nend;\nfunction max(a,b:double):double;\nbegin\n   if a&gt;b then exit(a) else exit(b);\nend;\n\nfunction sector(a,r:double):double;\nbegin\n   exit(a*r*r\/2);\nend;\nfunction triangle(a,r:double):double;\nbegin\n   exit(sin(a)*r*r\/2);\nend;\nfunction inlside(s:circle;l:double):boolean;\nbegin\n   if (s.x-s.r&gt;l) or (abs(s.x-s.r-l)&lt;le) then exit(true) else exit(false);\nend;\nfunction inrside(s:circle;r:double):boolean;\nbegin\n   if (s.x+s.r&lt;r) or (abs(s.x+s.r-r)&lt;le) then exit(true) else exit(false);\nend;\n\n\nfunction intarea(s:circle;l,r:double):double;\nvar\n   i,j:longint;\n   a,a2,s1,s2,s3,s4:double;\n   bl,br:boolean;\nbegin\n   if (r&lt;s.x-s.r) or (s.x+s.r&lt;l) then exit(0);\n   if (s.x&lt;=l) then\n   begin\n      a:=arccos((l-s.x)\/s.r)*2;\n      if (abs(s.x-l)&lt;le) then s1:=0\n      else s1:=triangle(a,s.r);\n      s2:=sector(a,s.r);\n\n\n      if s.x+s.r&gt;r then\n      begin\n         a:=arccos((r-s.x)\/s.r)*2;\n         s3:=sector(a,s.r);\n         s4:=triangle(a,s.r);\n         s2:=s2-(s3-s4);\n\n      end;\n      exit(s2-s1);\n   end\n   else\n   if (s.x&gt;=r) then\n   begin\n      a:=arccos((s.x-r)\/s.r)*2;\n      if (abs(s.x-r)&lt;le) then s1:=0\n      else s1:=triangle(a,s.r);\n      s2:=sector(a,s.r);\n\n      if s.x-s.r&lt;l then\n      begin\n         a:=arccos((s.x-l)\/s.r)*2;\n         s3:=sector(a,s.r);\n         s4:=triangle(a,s.r);\n         s2:=s2-(s3-s4);\n\n\n      end;\n      exit(s2-s1);\n\n   end\n   else\n   begin\n      bl:=inlside(s,l);\n      br:=inrside(s,r);\n      if bl and br then exit(pi*s.r*s.r);\n      if bl and not(br) then\n      begin\n         a:=arccos((r-s.x)\/s.r)*2;\n         s3:=sector(a,s.r)-triangle(a,s.r);\n         exit(pi*s.r*s.r-s3);\n      end;\n      if not(bl) and br then\n      begin\n         a:=arccos((s.x-l)\/s.r)*2;\n         s3:=sector(a,s.r)-triangle(a,s.r);\n         exit(pi*s.r*s.r-s3);\n      end;\n\n\n\n      a:=arccos((s.x-l)\/s.r)*2;\n\n      a2:=arccos((r-s.x)\/s.r)*2;\n      s1:=sector(2*pi-a-a2,s.r);\n      s2:=triangle(a,s.r)+triangle(a2,s.r);\n      exit(s1+s2);\n\n\n\n   end;\n\n\n\nend;\nfunction place(k:longint;l,r:double):boolean;\nvar\n   tot:double;\n   i,j:longint;\nbegin\n   tot:=0;\n   for j:=1 to m[k] do\n   begin\n         tot:=tot+intarea(s[k,j],l,r);\n   end;\n\/\/   writeln(tot*n,' ',wanted[k]*pi);\n\n   if (abs(tot*n-wanted[k]*pi)&lt;le) then exit(true);\n   if (tot*n&lt;(wanted[k]*pi)) then exit(false) else exit(true);\nend;\nfunction bsearch(r1,r2:double):double;\nvar\n   m:double;\n   i,j,k,num:longint;\n   flag:boolean;\nbegin\n   for k:=1 to 60 do\n   begin\n      flag:=false;\n      m:=(r1+r2)\/2;\n      for i:=1 to n do\n         if not b[i] then\n         begin\n            flag:=flag or place(i,l,m);\n            if flag then\n            begin\n               num:=i;\n               break;\n            end;\n         end;\n      if flag then r2:=m else r1:=m;\n   end;\n\n   b[num]:=true;\n   ans[num,1]:=l;\n   ans[num,2]:=r1;\n\n   exit(r1);\n\n\nend;\nbegin\n  { assign(input,'kingdom.in');\n   reset(input);\n  } r:=-10000;\n   l:=10000;\n   read(n);\n   fillchar(b,sizeof(b),false);\n   fillchar(wanted,sizeof(wanted),0);\n   for i:=1 to n do\n   begin\n      read(m[i]);\n      for j:=1 to m[i] do\n      begin\n         read(s[i,j].x,s[i,j].y,s[i,j].r);\n \/\/        writeln(s[i,j].x,s[i,j].y,s[i,j].r);\n\n         r:=max(r,s[i,j].x+s[i,j].r);\n         l:=min(l,s[i,j].x-s[i,j].r);\n         wanted[i]:=wanted[i]+sqr(s[i,j].r);\n\n      end;\n   end;\n   r:=r+1;\n\n   for i:=1 to n do\n      l:=bsearch(l,r);\n\n   for i:=1 to n do\n   begin\n      writeln('4');\n      writeln(ans[i,1]:7:7,' 3000');\n      writeln(ans[i,1]:7:7,' -3000');\n      writeln(ans[i,2]:7:7,' -3000');\n      writeln(ans[i,2]:7:7,' 3000');\n   end;\n\n\n\n\n\/\/   close(input);\nend.\n<\/pre><\/p>\n","protected":false},"excerpt":{"rendered":"<p>\u8fd9\u9898 \u5199\u4e86\u5c06\u8fd1\u534a\u4e2a\u6708\u2026\u2026\u603b\u662f\u5728D\u5404\u79cdBug \u603b\u7684\u8bf4\u6765-\u8fd9\u9898\u6700\u96be\u5e94\u8be5\u662f\u5728\u7cbe\u5ea6\u5904\u7406\u4e0a 1 1 0 0 1 \u8fd9\u7ec4\u6570\u636e [&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":[55,117,118],"class_list":["post-194","post","type-post","status-publish","format-standard","hentry","category-defaultcategory","tag-dichotomy","tag-computational_geometry","tag-greedy"],"yoast_head":"<!-- This site is optimized with the Yoast SEO plugin v27.5 - https:\/\/yoast.com\/product\/yoast-seo-wordpress\/ -->\n<title>POJ 3575(\u8ba1\u7b97\u51e0\u4f55\u4e0e\u4e8c\u5206-\u65e0\u5c3d\u7684\u5c0f\u6570\u5904\u7406\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=194\" \/>\n<meta property=\"og:locale\" content=\"zh_CN\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"POJ 3575(\u8ba1\u7b97\u51e0\u4f55\u4e0e\u4e8c\u5206-\u65e0\u5c3d\u7684\u5c0f\u6570\u5904\u7406\uff09 - nike0good\" \/>\n<meta property=\"og:description\" content=\"\u8fd9\u9898 \u5199\u4e86\u5c06\u8fd1\u534a\u4e2a\u6708\u2026\u2026\u603b\u662f\u5728D\u5404\u79cdBug \u603b\u7684\u8bf4\u6765-\u8fd9\u9898\u6700\u96be\u5e94\u8be5\u662f\u5728\u7cbe\u5ea6\u5904\u7406\u4e0a 1 1 0 0 1 \u8fd9\u7ec4\u6570\u636e [&hellip;]\" \/>\n<meta property=\"og:url\" content=\"https:\/\/nike0good.com\/?p=194\" \/>\n<meta property=\"og:site_name\" content=\"nike0good\" \/>\n<meta property=\"article:published_time\" content=\"2012-10-18T05:15:00+00:00\" \/>\n<meta name=\"author\" content=\"nike0good\" \/>\n<meta name=\"twitter:card\" content=\"summary_large_image\" \/>\n<meta name=\"twitter:label1\" content=\"\u4f5c\u8005\" \/>\n\t<meta name=\"twitter:data1\" content=\"nike0good\" \/>\n\t<meta name=\"twitter:label2\" content=\"\u9884\u8ba1\u9605\u8bfb\u65f6\u95f4\" \/>\n\t<meta name=\"twitter:data2\" content=\"4 \u5206\" \/>\n<script type=\"application\/ld+json\" class=\"yoast-schema-graph\">{\"@context\":\"https:\\\/\\\/schema.org\",\"@graph\":[{\"@type\":\"Article\",\"@id\":\"https:\\\/\\\/nike0good.com\\\/?p=194#article\",\"isPartOf\":{\"@id\":\"https:\\\/\\\/nike0good.com\\\/?p=194\"},\"author\":{\"name\":\"nike0good\",\"@id\":\"https:\\\/\\\/nike0good.com\\\/#\\\/schema\\\/person\\\/4defa38da89de87e400861e73396baad\"},\"headline\":\"POJ 3575(\u8ba1\u7b97\u51e0\u4f55\u4e0e\u4e8c\u5206-\u65e0\u5c3d\u7684\u5c0f\u6570\u5904\u7406\uff09\",\"datePublished\":\"2012-10-18T05:15:00+00:00\",\"mainEntityOfPage\":{\"@id\":\"https:\\\/\\\/nike0good.com\\\/?p=194\"},\"wordCount\":5,\"commentCount\":0,\"keywords\":[\"\u4e8c\u5206\u6cd5\",\"\u8ba1\u7b97\u51e0\u4f55\",\"\u8d2a\u5fc3\"],\"articleSection\":[\"DefaultCategory\"],\"inLanguage\":\"zh-Hans\",\"potentialAction\":[{\"@type\":\"CommentAction\",\"name\":\"Comment\",\"target\":[\"https:\\\/\\\/nike0good.com\\\/?p=194#respond\"]}]},{\"@type\":\"WebPage\",\"@id\":\"https:\\\/\\\/nike0good.com\\\/?p=194\",\"url\":\"https:\\\/\\\/nike0good.com\\\/?p=194\",\"name\":\"POJ 3575(\u8ba1\u7b97\u51e0\u4f55\u4e0e\u4e8c\u5206-\u65e0\u5c3d\u7684\u5c0f\u6570\u5904\u7406\uff09 - nike0good\",\"isPartOf\":{\"@id\":\"https:\\\/\\\/nike0good.com\\\/#website\"},\"datePublished\":\"2012-10-18T05:15:00+00:00\",\"author\":{\"@id\":\"https:\\\/\\\/nike0good.com\\\/#\\\/schema\\\/person\\\/4defa38da89de87e400861e73396baad\"},\"breadcrumb\":{\"@id\":\"https:\\\/\\\/nike0good.com\\\/?p=194#breadcrumb\"},\"inLanguage\":\"zh-Hans\",\"potentialAction\":[{\"@type\":\"ReadAction\",\"target\":[\"https:\\\/\\\/nike0good.com\\\/?p=194\"]}]},{\"@type\":\"BreadcrumbList\",\"@id\":\"https:\\\/\\\/nike0good.com\\\/?p=194#breadcrumb\",\"itemListElement\":[{\"@type\":\"ListItem\",\"position\":1,\"name\":\"Home\",\"item\":\"https:\\\/\\\/nike0good.com\\\/\"},{\"@type\":\"ListItem\",\"position\":2,\"name\":\"POJ 3575(\u8ba1\u7b97\u51e0\u4f55\u4e0e\u4e8c\u5206-\u65e0\u5c3d\u7684\u5c0f\u6570\u5904\u7406\uff09\"}]},{\"@type\":\"WebSite\",\"@id\":\"https:\\\/\\\/nike0good.com\\\/#website\",\"url\":\"https:\\\/\\\/nike0good.com\\\/\",\"name\":\"nike0good\",\"description\":\"\u6709\u6240\u4f5c\u4e3a\u662f\u4eba\u751f\u7684\u6700\u9ad8\u5883\u754c\",\"potentialAction\":[{\"@type\":\"SearchAction\",\"target\":{\"@type\":\"EntryPoint\",\"urlTemplate\":\"https:\\\/\\\/nike0good.com\\\/?s={search_term_string}\"},\"query-input\":{\"@type\":\"PropertyValueSpecification\",\"valueRequired\":true,\"valueName\":\"search_term_string\"}}],\"inLanguage\":\"zh-Hans\"},{\"@type\":\"Person\",\"@id\":\"https:\\\/\\\/nike0good.com\\\/#\\\/schema\\\/person\\\/4defa38da89de87e400861e73396baad\",\"name\":\"nike0good\",\"image\":{\"@type\":\"ImageObject\",\"inLanguage\":\"zh-Hans\",\"@id\":\"https:\\\/\\\/secure.gravatar.com\\\/avatar\\\/8e5fa08d5c367a1a6fb5ff13bb10ed5a331f981513256951290ae42322da6854?s=96&d=identicon&r=g\",\"url\":\"https:\\\/\\\/secure.gravatar.com\\\/avatar\\\/8e5fa08d5c367a1a6fb5ff13bb10ed5a331f981513256951290ae42322da6854?s=96&d=identicon&r=g\",\"contentUrl\":\"https:\\\/\\\/secure.gravatar.com\\\/avatar\\\/8e5fa08d5c367a1a6fb5ff13bb10ed5a331f981513256951290ae42322da6854?s=96&d=identicon&r=g\",\"caption\":\"nike0good\"},\"sameAs\":[\"https:\\\/\\\/nike0good.com\"],\"url\":\"https:\\\/\\\/nike0good.com\\\/?author=1\"}]}<\/script>\n<!-- \/ Yoast SEO plugin. -->","yoast_head_json":{"title":"POJ 3575(\u8ba1\u7b97\u51e0\u4f55\u4e0e\u4e8c\u5206-\u65e0\u5c3d\u7684\u5c0f\u6570\u5904\u7406\uff09 - nike0good","robots":{"index":"index","follow":"follow","max-snippet":"max-snippet:-1","max-image-preview":"max-image-preview:large","max-video-preview":"max-video-preview:-1"},"canonical":"https:\/\/nike0good.com\/?p=194","og_locale":"zh_CN","og_type":"article","og_title":"POJ 3575(\u8ba1\u7b97\u51e0\u4f55\u4e0e\u4e8c\u5206-\u65e0\u5c3d\u7684\u5c0f\u6570\u5904\u7406\uff09 - nike0good","og_description":"\u8fd9\u9898 \u5199\u4e86\u5c06\u8fd1\u534a\u4e2a\u6708\u2026\u2026\u603b\u662f\u5728D\u5404\u79cdBug \u603b\u7684\u8bf4\u6765-\u8fd9\u9898\u6700\u96be\u5e94\u8be5\u662f\u5728\u7cbe\u5ea6\u5904\u7406\u4e0a 1 1 0 0 1 \u8fd9\u7ec4\u6570\u636e [&hellip;]","og_url":"https:\/\/nike0good.com\/?p=194","og_site_name":"nike0good","article_published_time":"2012-10-18T05:15:00+00:00","author":"nike0good","twitter_card":"summary_large_image","twitter_misc":{"\u4f5c\u8005":"nike0good","\u9884\u8ba1\u9605\u8bfb\u65f6\u95f4":"4 \u5206"},"schema":{"@context":"https:\/\/schema.org","@graph":[{"@type":"Article","@id":"https:\/\/nike0good.com\/?p=194#article","isPartOf":{"@id":"https:\/\/nike0good.com\/?p=194"},"author":{"name":"nike0good","@id":"https:\/\/nike0good.com\/#\/schema\/person\/4defa38da89de87e400861e73396baad"},"headline":"POJ 3575(\u8ba1\u7b97\u51e0\u4f55\u4e0e\u4e8c\u5206-\u65e0\u5c3d\u7684\u5c0f\u6570\u5904\u7406\uff09","datePublished":"2012-10-18T05:15:00+00:00","mainEntityOfPage":{"@id":"https:\/\/nike0good.com\/?p=194"},"wordCount":5,"commentCount":0,"keywords":["\u4e8c\u5206\u6cd5","\u8ba1\u7b97\u51e0\u4f55","\u8d2a\u5fc3"],"articleSection":["DefaultCategory"],"inLanguage":"zh-Hans","potentialAction":[{"@type":"CommentAction","name":"Comment","target":["https:\/\/nike0good.com\/?p=194#respond"]}]},{"@type":"WebPage","@id":"https:\/\/nike0good.com\/?p=194","url":"https:\/\/nike0good.com\/?p=194","name":"POJ 3575(\u8ba1\u7b97\u51e0\u4f55\u4e0e\u4e8c\u5206-\u65e0\u5c3d\u7684\u5c0f\u6570\u5904\u7406\uff09 - nike0good","isPartOf":{"@id":"https:\/\/nike0good.com\/#website"},"datePublished":"2012-10-18T05:15:00+00:00","author":{"@id":"https:\/\/nike0good.com\/#\/schema\/person\/4defa38da89de87e400861e73396baad"},"breadcrumb":{"@id":"https:\/\/nike0good.com\/?p=194#breadcrumb"},"inLanguage":"zh-Hans","potentialAction":[{"@type":"ReadAction","target":["https:\/\/nike0good.com\/?p=194"]}]},{"@type":"BreadcrumbList","@id":"https:\/\/nike0good.com\/?p=194#breadcrumb","itemListElement":[{"@type":"ListItem","position":1,"name":"Home","item":"https:\/\/nike0good.com\/"},{"@type":"ListItem","position":2,"name":"POJ 3575(\u8ba1\u7b97\u51e0\u4f55\u4e0e\u4e8c\u5206-\u65e0\u5c3d\u7684\u5c0f\u6570\u5904\u7406\uff09"}]},{"@type":"WebSite","@id":"https:\/\/nike0good.com\/#website","url":"https:\/\/nike0good.com\/","name":"nike0good","description":"\u6709\u6240\u4f5c\u4e3a\u662f\u4eba\u751f\u7684\u6700\u9ad8\u5883\u754c","potentialAction":[{"@type":"SearchAction","target":{"@type":"EntryPoint","urlTemplate":"https:\/\/nike0good.com\/?s={search_term_string}"},"query-input":{"@type":"PropertyValueSpecification","valueRequired":true,"valueName":"search_term_string"}}],"inLanguage":"zh-Hans"},{"@type":"Person","@id":"https:\/\/nike0good.com\/#\/schema\/person\/4defa38da89de87e400861e73396baad","name":"nike0good","image":{"@type":"ImageObject","inLanguage":"zh-Hans","@id":"https:\/\/secure.gravatar.com\/avatar\/8e5fa08d5c367a1a6fb5ff13bb10ed5a331f981513256951290ae42322da6854?s=96&d=identicon&r=g","url":"https:\/\/secure.gravatar.com\/avatar\/8e5fa08d5c367a1a6fb5ff13bb10ed5a331f981513256951290ae42322da6854?s=96&d=identicon&r=g","contentUrl":"https:\/\/secure.gravatar.com\/avatar\/8e5fa08d5c367a1a6fb5ff13bb10ed5a331f981513256951290ae42322da6854?s=96&d=identicon&r=g","caption":"nike0good"},"sameAs":["https:\/\/nike0good.com"],"url":"https:\/\/nike0good.com\/?author=1"}]}},"_links":{"self":[{"href":"https:\/\/nike0good.com\/index.php?rest_route=\/wp\/v2\/posts\/194","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/nike0good.com\/index.php?rest_route=\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/nike0good.com\/index.php?rest_route=\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/nike0good.com\/index.php?rest_route=\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/nike0good.com\/index.php?rest_route=%2Fwp%2Fv2%2Fcomments&post=194"}],"version-history":[{"count":0,"href":"https:\/\/nike0good.com\/index.php?rest_route=\/wp\/v2\/posts\/194\/revisions"}],"wp:attachment":[{"href":"https:\/\/nike0good.com\/index.php?rest_route=%2Fwp%2Fv2%2Fmedia&parent=194"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/nike0good.com\/index.php?rest_route=%2Fwp%2Fv2%2Fcategories&post=194"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/nike0good.com\/index.php?rest_route=%2Fwp%2Fv2%2Ftags&post=194"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}