{"id":481,"date":"2018-01-06T20:03:19","date_gmt":"2018-01-06T12:03:19","guid":{"rendered":"http:\/\/kylelv.com\/?p=481"},"modified":"2018-01-16T21:18:49","modified_gmt":"2018-01-16T13:18:49","slug":"bzoj-2508-%e7%ae%80%e5%8d%95%e9%a2%98-%e6%95%b0%e5%ad%a6","status":"publish","type":"post","link":"https:\/\/blog.kylelv.com\/?p=481","title":{"rendered":"bzoj 2508: \u7b80\u5355\u9898  &#8212; \u6570\u5b66"},"content":{"rendered":"<p>&nbsp;<\/p>\n<div id=\"ez-toc-container\" class=\"ez-toc-v2_0_73 counter-hierarchy ez-toc-counter ez-toc-grey ez-toc-container-direction\">\n<p class=\"ez-toc-title\" style=\"cursor:inherit\">Contents<\/p>\n<label for=\"ez-toc-cssicon-toggle-item-69fdeef2b8f95\" class=\"ez-toc-cssicon-toggle-label\"><span class=\"\"><span class=\"eztoc-hide\" style=\"display:none;\">Toggle<\/span><span class=\"ez-toc-icon-toggle-span\"><svg style=\"fill: #999;color:#999\" xmlns=\"http:\/\/www.w3.org\/2000\/svg\" class=\"list-377408\" width=\"20px\" height=\"20px\" viewBox=\"0 0 24 24\" fill=\"none\"><path d=\"M6 6H4v2h2V6zm14 0H8v2h12V6zM4 11h2v2H4v-2zm16 0H8v2h12v-2zM4 16h2v2H4v-2zm16 0H8v2h12v-2z\" fill=\"currentColor\"><\/path><\/svg><svg style=\"fill: #999;color:#999\" class=\"arrow-unsorted-368013\" xmlns=\"http:\/\/www.w3.org\/2000\/svg\" width=\"10px\" height=\"10px\" viewBox=\"0 0 24 24\" version=\"1.2\" baseProfile=\"tiny\"><path d=\"M18.2 9.3l-6.2-6.3-6.2 6.3c-.2.2-.3.4-.3.7s.1.5.3.7c.2.2.4.3.7.3h11c.3 0 .5-.1.7-.3.2-.2.3-.5.3-.7s-.1-.5-.3-.7zM5.8 14.7l6.2 6.3 6.2-6.3c.2-.2.3-.5.3-.7s-.1-.5-.3-.7c-.2-.2-.4-.3-.7-.3h-11c-.3 0-.5.1-.7.3-.2.2-.3.5-.3.7s.1.5.3.7z\"\/><\/svg><\/span><\/span><\/label><input type=\"checkbox\"  id=\"ez-toc-cssicon-toggle-item-69fdeef2b8f95\"  aria-label=\"Toggle\" \/><nav><ul class='ez-toc-list ez-toc-list-level-1 ' ><li class='ez-toc-page-1 ez-toc-heading-level-2'><a class=\"ez-toc-link ez-toc-heading-1\" href=\"https:\/\/blog.kylelv.com\/?p=481\/#2508_%E7%AE%80%E5%8D%95%E9%A2%98\" title=\"2508: \u7b80\u5355\u9898\">2508: \u7b80\u5355\u9898<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-2'><a class=\"ez-toc-link ez-toc-heading-2\" href=\"https:\/\/blog.kylelv.com\/?p=481\/#Description\" title=\"Description\">Description<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-2'><a class=\"ez-toc-link ez-toc-heading-3\" href=\"https:\/\/blog.kylelv.com\/?p=481\/#Input\" title=\"Input\">Input<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-2'><a class=\"ez-toc-link ez-toc-heading-4\" href=\"https:\/\/blog.kylelv.com\/?p=481\/#Output\" title=\"Output\">Output<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-2'><a class=\"ez-toc-link ez-toc-heading-5\" href=\"https:\/\/blog.kylelv.com\/?p=481\/#Sample_Input\" title=\"Sample Input\">Sample Input<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-2'><a class=\"ez-toc-link ez-toc-heading-6\" href=\"https:\/\/blog.kylelv.com\/?p=481\/#Sample_Output\" title=\"Sample Output\">Sample Output<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-2'><a class=\"ez-toc-link ez-toc-heading-7\" href=\"https:\/\/blog.kylelv.com\/?p=481\/#HINT\" title=\"HINT\">HINT<\/a><\/li><\/ul><\/nav><\/div>\n<h2 style=\"text-align: center;\"><span class=\"ez-toc-section\" id=\"2508_%E7%AE%80%E5%8D%95%E9%A2%98\"><\/span>2508: \u7b80\u5355\u9898<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p style=\"text-align: center;\"><span class=\"green\">Time Limit:\u00a0<\/span>10 Sec\u00a0\u00a0<span class=\"green\">Memory Limit:\u00a0<\/span>512 MB Sec\u00a0\u00a0<span class=\"red\">Special Judge<\/span><\/p>\n<h2><span class=\"ez-toc-section\" id=\"Description\"><\/span>Description<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<div class=\"content\">\n<div>\u6c42\u4e00\u4e2a\u70b9\u4f7f\u5f97\u5b83\u5230\u5e73\u9762\u4e0a<b><u>\u6240\u6709\u76f4\u7ebf\u8ddd\u79bb\u5e73\u65b9\u548c<\/u><\/b>\u6700\u5c0f\u3002<\/div>\n<div>\u4f60\u9700\u8981\u5b9e\u73b0\u4ee5\u4e0b3\u79cd\u64cd\u4f5c\uff1a<\/div>\n<div>1.\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u5e73\u9762\u4e0a\u52a0\u5165\u4e00\u6761\u76f4\u7ebf\uff1b<\/div>\n<div>2.\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u5220\u9664\u4e00\u6761\u5df2\u52a0\u5165\u7684\u76f4\u7ebf\uff1b<\/div>\n<div>3.\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u6c42\u4e00\u4e2a\u70b9\u5230\u5e73\u9762\u4e0a\u6240\u6709\u76f4\u7ebf\u8ddd\u79bb\u5e73\u65b9\u548c\u6700\u5c0f\uff0c\u4f60\u9700\u8981\u8f93\u51fa\u8fd9\u4e2a\u6700\u5c0f\u503c\u3002<\/div>\n<\/div>\n<h2><span class=\"ez-toc-section\" id=\"Input\"><\/span>Input<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<div class=\"content\">\n<div>\u7b2c1\u884c\u5305\u542b\u4e00\u4e2a\u6574\u6570<i>N<\/i>\uff0c\u8868\u793a\u4e86\u64cd\u4f5c\u6570\u76ee\u3002\u63a5\u4e0b\u6765<i>N<\/i>\u884c\u64cd\u4f5c\u5c5e\u4e8e\u4e0b\u52173\u79cd\u683c\u5f0f\u4e4b\u4e00\uff1a<\/div>\n<\/div>\n<h2><span class=\"ez-toc-section\" id=\"Output\"><\/span>Output<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<div class=\"content\">\n<div>\u8f93\u51fa\u884c\u6570\u7b49\u4e8e\u67e5\u8be2\u64cd\u4f5c\u7684\u6b21\u6570\uff0c\u6bcf\u884c\u8f93\u51fa\u6bcf\u6b21\u67e5\u8be2\u64cd\u4f5c\u6240\u8981\u6c42\u7684\u6700\u5c0f\u503c\uff0c\u4fdd\u7559\u4e24\u4f4d\u5c0f\u6570\u3002<\/div>\n<div><\/div>\n<\/div>\n<h2><span class=\"ez-toc-section\" id=\"Sample_Input\"><\/span>Sample Input<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<div class=\"content\"><span class=\"sampledata\"><span class=\"sampledata\">10<br \/>\n0 0.0 0.0 1.0 0.0<br \/>\n2<br \/>\n0 0 1 1 1<br \/>\n2<br \/>\n0 0 2 1 2<br \/>\n2<br \/>\n1 2<br \/>\n2<br \/>\n1 3<br \/>\n2<\/span><\/span>&nbsp;<\/p>\n<\/div>\n<h2><span class=\"ez-toc-section\" id=\"Sample_Output\"><\/span>Sample Output<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<div class=\"content\"><span class=\"sampledata\"><span class=\"sampledata\">0.00<br \/>\n0.50<br \/>\n2.00<br \/>\n2.00<br \/>\n0.00<\/span><\/span>\u3010\u6570\u636e\u89c4\u6a21\u4e0e\u7ea6\u5b9a\u3011<br \/>\n\u5bf9\u4e8e10%\u7684\u6570\u636e\uff0cN \u2264 25\uff1b<br \/>\n\u5bf9\u4e8e50%\u7684\u6570\u636e\uff0cN \u2264 1000\uff1b<br \/>\n\u5bf9\u4e8e50%\u7684\u6570\u636e\uff0c\u67e5\u8be2\u64cd\u4f5c\u4e0d\u8d85\u8fc710\u6b21\uff1b<br \/>\n\u5bf9\u4e8e70%\u7684\u6570\u636e\uff0cN \u2264 20000\uff1b<br \/>\n\u5bf9\u4e8e100%\u7684\u6570\u636e\uff0cN \u2264 120000\u3002<\/p>\n<\/div>\n<h2><span class=\"ez-toc-section\" id=\"HINT\"><\/span>HINT<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p>\u4e00\u4e2a\u70b9<span class=\"math inline\"><span id=\"MathJax-Element-1-Frame\" class=\"mjx-chtml MathJax_CHTML\" style=\"box-sizing: border-box; display: inline-block; line-height: 0; text-indent: 0px; text-align: left; text-transform: none; font-style: normal; font-weight: normal; font-size: 19.656px; letter-spacing: normal; word-wrap: normal; word-spacing: normal; white-space: nowrap; float: none; direction: ltr; max-width: none; max-height: none; min-width: 0px; min-height: 0px; border: 0px; margin: 0px; padding: 1px 0px; position: relative;\" tabindex=\"0\" role=\"presentation\" data-mathml=\"&lt;math xmlns=&quot;http:\/\/www.w3.org\/1998\/Math\/MathML&quot;&gt;&lt;mo stretchy=&quot;false&quot;&gt;(&lt;\/mo&gt;&lt;msub&gt;&lt;mi&gt;x&lt;\/mi&gt;&lt;mn&gt;0&lt;\/mn&gt;&lt;\/msub&gt;&lt;mo&gt;,&lt;\/mo&gt;&lt;msub&gt;&lt;mi&gt;y&lt;\/mi&gt;&lt;mn&gt;0&lt;\/mn&gt;&lt;\/msub&gt;&lt;mo stretchy=&quot;false&quot;&gt;)&lt;\/mo&gt;&lt;\/math&gt;\"><span id=\"MJXc-Node-1\" class=\"mjx-math\" aria-hidden=\"true\"><span id=\"MJXc-Node-2\" class=\"mjx-mrow\"><span id=\"MJXc-Node-3\" class=\"mjx-mo\"><span class=\"mjx-char MJXc-TeX-main-R\">(<\/span><\/span><span id=\"MJXc-Node-4\" class=\"mjx-msubsup\"><span class=\"mjx-base\"><span id=\"MJXc-Node-5\" class=\"mjx-mi\"><span class=\"mjx-char MJXc-TeX-math-I\">x<\/span><\/span><\/span><span class=\"mjx-sub\"><span id=\"MJXc-Node-6\" class=\"mjx-mn\"><span class=\"mjx-char MJXc-TeX-main-R\">0<\/span><\/span><\/span><\/span><span id=\"MJXc-Node-7\" class=\"mjx-mo\"><span class=\"mjx-char MJXc-TeX-main-R\">,<\/span><\/span><span id=\"MJXc-Node-8\" class=\"mjx-msubsup MJXc-space1\"><span class=\"mjx-base\"><span id=\"MJXc-Node-9\" class=\"mjx-mi\"><span class=\"mjx-char MJXc-TeX-math-I\">y<\/span><\/span><\/span><span class=\"mjx-sub\"><span id=\"MJXc-Node-10\" class=\"mjx-mn\"><span class=\"mjx-char MJXc-TeX-main-R\">0<\/span><\/span><\/span><\/span><span id=\"MJXc-Node-11\" class=\"mjx-mo\"><span class=\"mjx-char MJXc-TeX-main-R\">)<\/span><\/span><\/span><\/span><\/span><\/span>\u5230\u76f4\u7ebf<span class=\"math inline\"><span id=\"MathJax-Element-2-Frame\" class=\"mjx-chtml MathJax_CHTML\" style=\"box-sizing: border-box; display: inline-block; line-height: 0; text-indent: 0px; text-align: left; text-transform: none; font-style: normal; font-weight: normal; font-size: 19.656px; letter-spacing: normal; word-wrap: normal; word-spacing: normal; white-space: nowrap; float: none; direction: ltr; max-width: none; max-height: none; min-width: 0px; min-height: 0px; border: 0px; margin: 0px; padding: 1px 0px; position: relative;\" tabindex=\"0\" role=\"presentation\" data-mathml=\"&lt;math xmlns=&quot;http:\/\/www.w3.org\/1998\/Math\/MathML&quot;&gt;&lt;mi&gt;A&lt;\/mi&gt;&lt;mi&gt;x&lt;\/mi&gt;&lt;mo&gt;+&lt;\/mo&gt;&lt;mi&gt;B&lt;\/mi&gt;&lt;mi&gt;y&lt;\/mi&gt;&lt;mo&gt;+&lt;\/mo&gt;&lt;mi&gt;C&lt;\/mi&gt;&lt;mo&gt;=&lt;\/mo&gt;&lt;mn&gt;0&lt;\/mn&gt;&lt;\/math&gt;\"><span class=\"MJX_Assistive_MathML\" role=\"presentation\">Ax+By+C=0\u00a0<\/span><\/span><\/span>\u7684\u8ddd\u79bb\u7684\u5e73\u65b9\u516c\u5f0f\u662f<\/p>\n<p><img loading=\"lazy\" decoding=\"async\" class=\"alignnone size-full wp-image-482\" src=\"http:\/\/kylelv.com\/wp-content\/uploads\/2018\/01\/QQ\u622a\u56fe20180116210435.jpg\" alt=\"\" width=\"166\" height=\"56\" \/><\/p>\n<p>\u6240\u4ee5\u6211\u4eec\u5c31\u53ef\u4ee5\u5c55\u5f00\u5316\u7b80\u6210<img loading=\"lazy\" decoding=\"async\" class=\"alignnone size-medium wp-image-483\" src=\"http:\/\/kylelv.com\/wp-content\/uploads\/2018\/01\/QQ\u56fe\u724720180116210855-300x34.png\" alt=\"\" width=\"300\" height=\"34\" srcset=\"https:\/\/blog.kylelv.com\/wp-content\/uploads\/2018\/01\/QQ\u56fe\u724720180116210855-300x34.png 300w, https:\/\/blog.kylelv.com\/wp-content\/uploads\/2018\/01\/QQ\u56fe\u724720180116210855.png 462w\" sizes=\"auto, (max-width: 300px) 100vw, 300px\" \/><\/p>\n<p>\u90a3\u4e48\uff0c\u600e\u4e48\u6c42\u4ed6\u7684\u6700\u503c<\/p>\n<p>\u5bf9\u4e8e\u4e00\u4e2a\u6b63\u5e38\u51fd\u6570\uff0c\u6c42\u6700\u503c\u53ef\u6c42\u5bfc\uff0c\u5bfc\u6570\u4e3a0 \u65f6\u5c31\u662f\u6700\u503c<\/p>\n<p>\u90a3\u4e48\u5bf9\u4e8e\u4e00\u4e2a\u591a\u53d8\u91cf\u7684\u51fd\u6570\uff0c\u6211\u4eec\u53ef\u4ee5\u5206\u522b\u5bf9\u4e8e\u6bcf\u4e00\u4e2a\u53d8\u91cf\u6c42 (\u504f)\u5bfc\uff0c\u5f97\u5230\u7684\u89e3\u5c31\u662f\u6700\u503c\u6240\u5728\u7684\u4f4d\u7f6e<\/p>\n<p>\u5173\u4e8e\u504f\u5bfc\u5177\u4f53\u53ef\u4ee5\u770b\u4e00\u4e0b\u7ef4\u57fa\u6216\u8005\u767e\u5ea6\u767e\u79d1<\/p>\n<p>\u7136\u540e\u5c31\u6c42\u4e00\u4e0b\u504f\u5bfc\u7b97\u4e00\u4e0b\u5c31\u597d\u4e86\uff0c\u5269\u4e0b\u5c31\u662f\u7ec6\u8282\u95ee\u9898\u4e86<\/p>\n<pre class=\"lang:c++ decode:true \">#include&lt;map&gt;\r\n#include&lt;cmath&gt;\r\n#include&lt;queue&gt;\r\n#include&lt;cstdio&gt;\r\n#include&lt;cstring&gt;\r\n#include&lt;iostream&gt;\r\n#include&lt;algorithm&gt;\r\nusing namespace std;\r\n#define inf 1000000007\r\n#define ll long long\r\n#define N 120010\r\n#define db double\r\nstruct qaz{db a,b,c;}a[N];\r\nint n,tot,ji;\r\ndb x,y,xx,yy;\r\ndb A,B,C,D,E,F;\r\nvoid ins()\r\n{\r\n\tint p=++tot;ji++;\r\n\ta[p].a=y-yy;a[p].b=xx-x;a[p].c=y*(x-xx)-x*(y-yy);\r\n\tdb tp=(a[p].a*a[p].a+a[p].b*a[p].b);\r\n\tA+=a[p].a*a[p].a\/tp;B+=a[p].b*a[p].b\/tp;\r\n\tC+=2*a[p].a*a[p].b\/tp;D+=2*a[p].a*a[p].c\/tp;\r\n\tE+=2*a[p].b*a[p].c\/tp;F+=a[p].c*a[p].c\/tp;\r\n}\r\nvoid del(int p)\r\n{\r\n\tji--;db tp=(a[p].a*a[p].a+a[p].b*a[p].b);\r\n\tA-=a[p].a*a[p].a\/tp;B-=a[p].b*a[p].b\/tp;\r\n\tC-=2*a[p].a*a[p].b\/tp;D-=2*a[p].a*a[p].c\/tp;\r\n\tE-=2*a[p].b*a[p].c\/tp;F-=a[p].c*a[p].c\/tp;\r\n}\r\ndb ans,f[3][4];\r\n#define eps 1e-5\r\nvoid sol()\r\n{\r\n\tf[1][1]=2*A;f[1][2]=C;f[1][3]=-D;\r\n\tf[2][1]=C;f[2][2]=2*B;f[2][3]=-E;\r\n\tdb tx,ty,tt;\r\n\tif(abs(f[1][1])&lt;eps)\r\n\t{\r\n\t\tif(abs(f[1][2])&lt;eps) tx=0,ty=f[2][3]\/f[2][2];\r\n\t\telse ty=f[1][3]\/f[1][2],tx=(f[2][3]-f[2][2]*ty)\/f[2][1];\r\n\t}\r\n\telse if(abs(f[2][2])&lt;eps)\r\n\t{\r\n\t\tif(abs(f[2][1])&lt;eps) ty=0,tx=f[1][3]\/f[1][1];\r\n\t\telse tx=f[2][3]\/f[2][1],ty=(f[1][3]-f[1][1]*tx)\/f[1][2];\r\n\t}\r\n\telse \r\n\t{\r\n\t\ttt=f[2][1]\/f[1][1];f[2][1]=0;\r\n\t\tf[2][2]-=tt*f[1][2];f[2][3]-=tt*f[1][3];\r\n\t\tty=(abs(f[2][2])&lt;eps)?0:f[2][3]\/f[2][2];\r\n\t\ttx=(abs(f[1][1])&lt;eps)?0:(f[1][3]-f[1][2]*ty)\/f[1][1];\r\n\t}\r\n\tans=abs(A*tx*tx+B*ty*ty+C*tx*ty+D*tx+E*ty+F);\r\n\tif(ans&lt;eps) puts(\"0.00\");\r\n\telse printf(\"%.2lf\\n\",ans);\r\n}\r\nint main()\r\n{\r\n\tscanf(\"%d\",&amp;n);\r\n\tint op,p;\r\n\twhile(n--)\r\n\t{\r\n\t\tscanf(\"%d\",&amp;op);\r\n\t\tif(!op)\r\n\t\t{\r\n\t\t\tscanf(\"%lf%lf%lf%lf\",&amp;x,&amp;y,&amp;xx,&amp;yy);\r\n\t\t\tins(); \r\n\t\t}\r\n\t\telse if(op==1)\r\n\t\t{\r\n\t\t\tscanf(\"%d\",&amp;p);\r\n\t\t\tdel(p);\r\n\t\t}\r\n\t\telse \r\n\t\t{\r\n\t\t\tif(!ji){puts(\"0.00\");continue;}\r\n\t\t\tsol();\r\n\t\t} \r\n\t}\r\n\treturn 0;\r\n}<\/pre>\n<p>&nbsp;<\/p>\n","protected":false},"excerpt":{"rendered":"<p>&nbsp; 2508: \u7b80\u5355\u9898 Time Limit:\u00a010 Sec\u00a0\u00a0Memory Limit:\u00a0512  [&hellip;]<\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[4],"tags":[8],"class_list":["post-481","post","type-post","status-publish","format-standard","hentry","category-bzoj","tag-8"],"_links":{"self":[{"href":"https:\/\/blog.kylelv.com\/index.php?rest_route=\/wp\/v2\/posts\/481","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/blog.kylelv.com\/index.php?rest_route=\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/blog.kylelv.com\/index.php?rest_route=\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/blog.kylelv.com\/index.php?rest_route=\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/blog.kylelv.com\/index.php?rest_route=%2Fwp%2Fv2%2Fcomments&post=481"}],"version-history":[{"count":2,"href":"https:\/\/blog.kylelv.com\/index.php?rest_route=\/wp\/v2\/posts\/481\/revisions"}],"predecessor-version":[{"id":485,"href":"https:\/\/blog.kylelv.com\/index.php?rest_route=\/wp\/v2\/posts\/481\/revisions\/485"}],"wp:attachment":[{"href":"https:\/\/blog.kylelv.com\/index.php?rest_route=%2Fwp%2Fv2%2Fmedia&parent=481"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/blog.kylelv.com\/index.php?rest_route=%2Fwp%2Fv2%2Fcategories&post=481"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/blog.kylelv.com\/index.php?rest_route=%2Fwp%2Fv2%2Ftags&post=481"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}