{"id":388,"date":"2013-04-21T17:39:09","date_gmt":"2013-04-21T09:39:09","guid":{"rendered":"http:\/\/nike0good.jp1.rpvhost.net\/?p=388"},"modified":"2013-04-21T17:39:09","modified_gmt":"2013-04-21T09:39:09","slug":"bzoj-1013jsoi2008%e7%90%83%e5%bd%a2%e7%a9%ba%e9%97%b4%e4%ba%a7%e7%94%9f%e5%99%a8sphere-gauss%e6%b6%88%e5%85%83%e7%bb%83%e4%b9%a0","status":"publish","type":"post","link":"https:\/\/nike0good.com\/?p=388","title":{"rendered":"BZOJ 1013([JSOI2008]\u7403\u5f62\u7a7a\u95f4\u4ea7\u751f\u5668sphere-gauss\u6d88\u5143\u7ec3\u4e60)"},"content":{"rendered":"<h2 style=\"color: blue;\">1013: [JSOI2008]\u7403\u5f62\u7a7a\u95f4\u4ea7\u751f\u5668sphere<\/h2>\n<p><span class=\"green\">Time Limit:&nbsp;<\/span>1 Sec&nbsp;&nbsp;<span class=\"green\">Memory Limit:&nbsp;<\/span>162 MB<\/p>\n<p><span class=\"green\">Submit:&nbsp;<\/span>1181&nbsp;&nbsp;<span class=\"green\">Solved:&nbsp;<\/span>654<\/p>\n<p>[<a style=\"color: blue; text-decoration: initial;\" href=\"http:\/\/www.lydsy.com\/JudgeOnline\/submitpage.php?id=1013\">Submit<\/a>][<a style=\"color: blue; text-decoration: initial;\" href=\"http:\/\/www.lydsy.com\/JudgeOnline\/problemstatus.php?id=1013\">Status<\/a>][<a style=\"color: blue; text-decoration: initial;\" href=\"http:\/\/www.lydsy.com\/JudgeOnline\/bbs.php?id=1013\">Discuss<\/a>]<\/p>\n<h2 style=\"font-family: arial, verdana, helvetica, sans-serif; color: blue; line-height: normal;\">Description<\/h2>\n<div class=\"content\" style=\"font-family: arial, verdana, helvetica, sans-serif; height: auto; background-color: #e4f0f8; margin: 0px; padding: 0px 20px; font-size: 14px; color: #000000; line-height: normal;\">\u6709\u4e00\u4e2a\u7403\u5f62\u7a7a\u95f4\u4ea7\u751f\u5668\u80fd\u591f\u5728n\u7ef4\u7a7a\u95f4\u4e2d\u4ea7\u751f\u4e00\u4e2a\u575a\u786c\u7684\u7403\u4f53\u3002\u73b0\u5728\uff0c\u4f60\u88ab\u56f0\u5728\u4e86\u8fd9\u4e2an\u7ef4\u7403\u4f53\u4e2d\uff0c\u4f60\u53ea\u77e5\u9053\u7403\u9762\u4e0an+1\u4e2a\u70b9\u7684\u5750\u6807\uff0c\u4f60\u9700\u8981\u4ee5\u6700\u5feb\u7684\u901f\u5ea6\u786e\u5b9a\u8fd9\u4e2an\u7ef4\u7403\u4f53\u7684\u7403\u5fc3\u5750\u6807\uff0c\u4ee5\u4fbf\u4e8e\u6467\u6bc1\u8fd9\u4e2a\u7403\u5f62\u7a7a\u95f4\u4ea7\u751f\u5668\u3002<\/div>\n<h2 style=\"font-family: arial, verdana, helvetica, sans-serif; color: blue; line-height: normal;\">Input<\/h2>\n<div class=\"content\" style=\"font-family: arial, verdana, helvetica, sans-serif; height: auto; background-color: #e4f0f8; margin: 0px; padding: 0px 20px; font-size: 14px; color: #000000; line-height: normal;\">\u7b2c\u4e00\u884c\u662f\u4e00\u4e2a\u6574\u6570\uff0cn\u3002 \u63a5\u4e0b\u6765\u7684n+1\u884c\uff0c\u6bcf\u884c\u6709n\u4e2a\u5b9e\u6570\uff0c\u8868\u793a\u7403\u9762\u4e0a\u4e00\u70b9\u7684n\u7ef4\u5750\u6807\u3002\u6bcf\u4e00\u4e2a\u5b9e\u6570\u7cbe\u786e\u5230\u5c0f\u6570\u70b9\u540e6\u4f4d\uff0c\u4e14\u5176\u7edd\u5bf9\u503c\u90fd\u4e0d\u8d85\u8fc720000\u3002<\/div>\n<h2 style=\"font-family: arial, verdana, helvetica, sans-serif; color: blue; line-height: normal;\">Output<\/h2>\n<div class=\"content\" style=\"font-family: arial, verdana, helvetica, sans-serif; height: auto; background-color: #e4f0f8; margin: 0px; padding: 0px 20px; font-size: 14px; color: #000000; line-height: normal;\">\u6709\u4e14\u53ea\u6709\u4e00\u884c\uff0c\u4f9d\u6b21\u7ed9\u51fa\u7403\u5fc3\u7684n\u7ef4\u5750\u6807\uff08n\u4e2a\u5b9e\u6570\uff09\uff0c\u4e24\u4e2a\u5b9e\u6570\u4e4b\u95f4\u7528\u4e00\u4e2a\u7a7a\u683c\u9694\u5f00\u3002\u6bcf\u4e2a\u5b9e\u6570\u7cbe\u786e\u5230\u5c0f\u6570\u70b9\u540e3\u4f4d\u3002\u6570\u636e\u4fdd\u8bc1\u6709\u89e3\u3002\u4f60\u7684\u7b54\u6848\u5fc5\u987b\u548c\u6807\u51c6\u8f93\u51fa\u4e00\u6a21\u4e00\u6837\u624d\u80fd\u591f\u5f97\u5206\u3002<\/div>\n<h2 style=\"font-family: arial, verdana, helvetica, sans-serif; color: blue; line-height: normal;\">Sample Input<\/h2>\n<div class=\"content\" style=\"font-family: arial, verdana, helvetica, sans-serif; height: auto; background-color: #e4f0f8; margin: 0px; padding: 0px 20px; font-size: 14px; color: #000000; line-height: normal;\"><span class=\"sampledata\" style=\"font-family: monospace; white-space: pre; background-color: #8db8ff; font-size: 18px; background-position: initial initial; background-repeat: initial initial;\">2<br style=\"font-family: arial, verdana, helvetica, sans-serif !important;\" \/> 0.0 0.0<br style=\"font-family: arial, verdana, helvetica, sans-serif !important;\" \/> -1.0 1.0<br style=\"font-family: arial, verdana, helvetica, sans-serif !important;\" \/> 1.0 0.0<br style=\"font-family: arial, verdana, helvetica, sans-serif !important;\" \/> <\/span><\/div>\n<h2 style=\"font-family: arial, verdana, helvetica, sans-serif; color: blue; line-height: normal;\">Sample Output<\/h2>\n<div class=\"content\" style=\"font-family: arial, verdana, helvetica, sans-serif; height: auto; background-color: #e4f0f8; margin: 0px; padding: 0px 20px; font-size: 14px; color: #000000; line-height: normal;\"><span class=\"sampledata\" style=\"font-family: monospace; white-space: pre; background-color: #8db8ff; font-size: 18px; background-position: initial initial; background-repeat: initial initial;\">0.500 1.500<br style=\"font-family: arial, verdana, helvetica, sans-serif !important;\" \/> <br style=\"font-family: arial, verdana, helvetica, sans-serif !important;\" \/> \u6570\u636e\u89c4\u6a21\uff1a<br style=\"font-family: arial, verdana, helvetica, sans-serif !important;\" \/> \u5bf9\u4e8e40%\u7684\u6570\u636e\uff0c1&lt;=n&lt;=3<br style=\"font-family: arial, verdana, helvetica, sans-serif !important;\" \/> \u5bf9\u4e8e100%\u7684\u6570\u636e\uff0c1&lt;=n&lt;=10<br style=\"font-family: arial, verdana, helvetica, sans-serif !important;\" \/> \u63d0\u793a\uff1a\u7ed9\u51fa\u4e24\u4e2a\u5b9a\u4e49\uff1a<br style=\"font-family: arial, verdana, helvetica, sans-serif !important;\" \/> 1\u3001 \u7403\u5fc3\uff1a\u5230\u7403\u9762\u4e0a\u4efb\u610f\u4e00\u70b9\u8ddd\u79bb\u90fd\u76f8\u7b49\u7684\u70b9\u3002<br style=\"font-family: arial, verdana, helvetica, sans-serif !important;\" \/> 2\u3001 \u8ddd\u79bb\uff1a\u8bbe\u4e24\u4e2an\u4e3a\u7a7a\u95f4\u4e0a\u7684\u70b9A, B\u7684\u5750\u6807\u4e3a(a1, a2, \u2026, an), (b1, b2, \u2026, bn)\uff0c\u5219AB\u7684\u8ddd\u79bb\u5b9a\u4e49\u4e3a\uff1adist = sqrt( (a1-b1)^2 + (a2-b2)^2 + \u2026 + (an-bn)^2 )<br style=\"font-family: arial, verdana, helvetica, sans-serif !important;\" \/> <\/span><\/div>\n<h2 style=\"font-family: arial, verdana, helvetica, sans-serif; color: blue; line-height: normal;\">&nbsp;<\/h2>\n<p>\u9ad8\u65af\u6d88\u5143<\/p>\n<p>\u663e\u7136\u53ef\u4ee5\u6d88\u6210\u03a3(pi-qi)xi=1\/2*\u03a3(pi^2-qi^2)<\/p>\n<p><code lang=\"cpp\">#include<cstdio><br \/>\n#include<cstring><br \/>\n#include<algorithm><br \/>\n#include<cstdlib><br \/>\n#include<functional><br \/>\n#include<algorithm><br \/>\n#include<iostream><br \/>\n#include<cmath><br \/>\nusing namespace std;<br \/>\n#define MAXN (10+10)<br \/>\n#define MAXAi (20000)<br \/>\n#define eps (0.0000001)<br \/>\n#define For(i,n) for(int i=1;i< =n;i++)\ndouble sqr(double x){return x*x;}\nint n;\ndouble a[MAXN][MAXN],f[MAXN][MAXN]={0.0};\nint gauss()\n{\n For(i,n)\n {\n if (abs(f[i][i])<eps)\n {\n int p=i+1;\n for (int j=i+1;j<=n;j++) if (abs(f[j][i])>abs(f[p][i])) j=p;<br \/>\n swap(f[p],f[i]);\/\/Waiting for change<br \/>\n }<br \/>\n if (abs(f[i][i])<eps ) continue;\n For(j,n)\n if (i^j)\n {\n double p=f[j][i]\/f[i][i];\n For(k,n+1) f[j][k]-=p*f[i][k];\n }\n }\n}\nint main()\n{\n\/\/ freopen(\"bzoj1013.in\",\"r\",stdin);\n cin>>n;<br \/>\n For(i,n+1) For(j,n) cin>>a[i][j];<br \/>\n For(i,n) For(j,n) f[i][j]=a[i][j]-a[i+1][j],f[i][n+1]+=sqr(a[i][j])-sqr(a[i+1][j]);<br \/>\n For(i,n) f[i][n+1]\/=2;<br \/>\n \/*<br \/>\n For(i,n)<br \/>\n {<br \/>\n For(j,n+1) cout< <f[i][j]<<' ';\n cout<<endl;\n }\n *\/\n gauss();\n \/*\n For(i,n)\n {\n For(j,n+1) cout<<f[i][j]<<' ';\n cout<<endl;\n }*\/\n For(i,n-1) printf(\"%.3lf \",f[i][n+1]\/f[i][i]);\n printf(\"%.3lf\\n\",f[n][n+1]\/f[n][n]);\n}<\/code><\/eps><\/cmath><\/iostream><\/algorithm><\/functional><\/cstdlib><\/algorithm><\/cstring><\/cstdio><\/code><\/p>\n","protected":false},"excerpt":{"rendered":"<p>1013: [JSOI2008]\u7403\u5f62\u7a7a\u95f4\u4ea7\u751f\u5668sphere Time Limit:&nbsp;1 Sec&#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":[12],"tags":[125],"class_list":["post-388","post","type-post","status-publish","format-standard","hentry","category-algorithm","tag-gaussian_elimination"],"yoast_head":"<!-- This site is optimized with the Yoast SEO plugin v27.4 - https:\/\/yoast.com\/product\/yoast-seo-wordpress\/ -->\n<title>BZOJ 1013([JSOI2008]\u7403\u5f62\u7a7a\u95f4\u4ea7\u751f\u5668sphere-gauss\u6d88\u5143\u7ec3\u4e60) - 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=388\" \/>\n<meta property=\"og:locale\" content=\"zh_CN\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"BZOJ 1013([JSOI2008]\u7403\u5f62\u7a7a\u95f4\u4ea7\u751f\u5668sphere-gauss\u6d88\u5143\u7ec3\u4e60) - nike0good\" \/>\n<meta property=\"og:description\" content=\"1013: [JSOI2008]\u7403\u5f62\u7a7a\u95f4\u4ea7\u751f\u5668sphere Time Limit:&nbsp;1 Sec&amp;nb [&hellip;]\" \/>\n<meta property=\"og:url\" content=\"https:\/\/nike0good.com\/?p=388\" \/>\n<meta property=\"og:site_name\" content=\"nike0good\" \/>\n<meta property=\"article:published_time\" content=\"2013-04-21T09:39:09+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\" 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