{"id":319,"date":"2013-01-23T14:37:00","date_gmt":"2013-01-23T06:37:00","guid":{"rendered":"http:\/\/nike0good.jp1.rpvhost.net\/224"},"modified":"2013-01-23T14:37:00","modified_gmt":"2013-01-23T06:37:00","slug":"hdu_1465_staggered_formula","status":"publish","type":"post","link":"https:\/\/nike0good.com\/?p=319","title":{"rendered":"HDU 1465(\u9519\u6392\u516c\u5f0f)"},"content":{"rendered":"<h1 style=\"color:rgb(26,92,200); text-align:center; font-family:'Times New Roman'\">\n\u4e0d\u5bb9\u6613\u7cfb\u5217\u4e4b\u4e00<\/h1>\n<p><span style=\"font-family:'Times New Roman'; font-size:14px\"><strong><span style=\"font-family:Arial; font-size:12px; color:green\">Time Limit: 2000\/1000 MS (Java\/Others)&nbsp;&nbsp;&nbsp;&nbsp;Memory Limit: 65536\/32768 K (Java\/Others)<br \/>\nTotal Submission(s): 9829&nbsp;&nbsp;&nbsp;&nbsp;Accepted Submission(s): 4115<br \/>\n<\/span><\/strong><\/span><br style=\"font-family:'Times New Roman'; font-size:14px\" \/><br \/>\n<br style=\"font-family:'Times New Roman'; font-size:14px\" \/><\/p>\n<div class=\"panel_title\" align=\"left\" style=\"height:38px; background-color:transparent; padding:0px 14px; color:rgb(124,169,237); font-size:18px; font-family:Arial; font-weight:bold\">\nProblem Description<\/div>\n<div class=\"panel_content\" style=\"height:auto; margin:0px; padding:0px 20px; font-size:14px; font-family:'Times New Roman'\">\n\u5927\u5bb6\u5e38\u5e38\u611f\u6168\uff0c\u8981\u505a\u597d\u4e00\u4ef6\u4e8b\u60c5\u771f\u7684\u4e0d\u5bb9\u6613\uff0c\u786e\u5b9e\uff0c\u5931\u8d25\u6bd4\u6210\u529f\u5bb9\u6613\u591a\u4e86\uff01<br \/>\n\u505a\u597d\u201c\u4e00\u4ef6\u201d\u4e8b\u60c5\u5c1a\u4e14\u4e0d\u6613\uff0c\u82e5\u60f3\u6c38\u8fdc\u6210\u529f\u800c\u603b\u4ece\u4e0d\u5931\u8d25\uff0c\u90a3\u66f4\u662f\u96be\u4e0a\u52a0\u96be\u4e86\uff0c\u5c31\u50cf\u82b1\u94b1\u603b\u662f\u6bd4\u6323\u94b1\u5bb9\u6613\u7684\u9053\u7406\u4e00\u6837\u3002<br \/>\n\u8bdd\u867d\u8fd9\u6837\u8bf4\uff0c\u6211\u8fd8\u662f\u8981\u544a\u8bc9\u5927\u5bb6\uff0c\u8981\u60f3\u5931\u8d25\u5230\u4e00\u5b9a\u7a0b\u5ea6\u4e5f\u662f\u4e0d\u5bb9\u6613\u7684\u3002\u6bd4\u5982\uff0c\u6211\u9ad8\u4e2d\u7684\u65f6\u5019\uff0c\u5c31\u6709\u4e00\u4e2a\u795e\u5947\u7684\u5973\u751f\uff0c\u5728\u82f1\u8bed\u8003\u8bd5\u7684\u65f6\u5019\uff0c\u7adf\u7136\u628a40\u4e2a\u5355\u9879\u9009\u62e9\u9898\u5168\u90e8\u505a\u9519\u4e86\uff01\u5927\u5bb6\u90fd\u5b66\u8fc7\u6982\u7387\u8bba\uff0c\u5e94\u8be5\u77e5\u9053\u51fa\u73b0\u8fd9\u79cd\u60c5\u51b5\u7684\u6982\u7387\uff0c\u6240\u4ee5\u81f3\u4eca\u6211\u90fd\u89c9\u5f97\u8fd9\u662f\u4e00\u4ef6\u795e\u5947\u7684\u4e8b\u60c5\u3002\u5982\u679c\u5957\u7528\u4e00\u53e5\u7ecf\u5178\u7684\u8bc4\u8bed\uff0c\u6211\u4eec\u53ef\u4ee5\u8fd9\u6837\u603b\u7ed3\uff1a\u4e00\u4e2a\u4eba\u505a\u9519\u4e00\u9053\u9009\u62e9\u9898\u5e76\u4e0d\u96be\uff0c\u96be\u7684\u662f\u5168\u90e8\u505a\u9519\uff0c\u4e00\u4e2a\u4e0d\u5bf9\u3002<\/p>\n<p>\u4e0d\u5e78\u7684\u662f\uff0c\u8fd9\u79cd\u5c0f\u6982\u7387\u4e8b\u4ef6\u53c8\u53d1\u751f\u4e86\uff0c\u800c\u4e14\u5c31\u5728\u6211\u4eec\u8eab\u8fb9\uff1a<br \/>\n\u4e8b\u60c5\u662f\u8fd9\u6837\u7684\u2014\u2014HDU\u6709\u4e2a\u7f51\u540d\u53eb\u505a8006\u7684\u7537\u6027\u540c\u5b66\uff0c\u7ed3\u4ea4\u7f51\u53cb\u65e0\u6570\uff0c\u6700\u8fd1\u8be5\u540c\u5b66\u73a9\u8d77\u4e86\u6d6a\u6f2b\uff0c\u540c\u65f6\u7ed9n\u4e2a\u7f51\u53cb\u6bcf\u4eba\u5199\u4e86\u4e00\u5c01\u4fe1\uff0c\u8fd9\u90fd\u6ca1\u4ec0\u4e48\uff0c\u8981\u547d\u7684\u662f\uff0c\u4ed6\u7adf\u7136\u628a\u6240\u6709\u7684\u4fe1\u90fd\u88c5\u9519\u4e86\u4fe1\u5c01\uff01\u6ce8\u610f\u4e86\uff0c\u662f\u5168\u90e8\u88c5\u9519\u54df\uff01<\/p>\n<p>\u73b0\u5728\u7684\u95ee\u9898\u662f\uff1a\u8bf7\u5927\u5bb6\u5e2e\u53ef\u601c\u76848006\u540c\u5b66\u8ba1\u7b97\u4e00\u4e0b\uff0c\u4e00\u5171\u6709\u591a\u5c11\u79cd\u53ef\u80fd\u7684\u9519\u8bef\u65b9\u5f0f\u5462\uff1f<\/p><\/div>\n<div class=\"panel_bottom\" style=\"height:auto; margin:0px; font-family:'Times New Roman'; font-size:14px\">\n&nbsp;<\/div>\n<p><br style=\"font-family:'Times New Roman'; font-size:14px\" \/><\/p>\n<div class=\"panel_title\" align=\"left\" style=\"height:38px; background-color:transparent; padding:0px 14px; color:rgb(124,169,237); font-size:18px; font-family:Arial; font-weight:bold\">\nInput<\/div>\n<div class=\"panel_content\" style=\"height:auto; margin:0px; padding:0px 20px; font-size:14px; font-family:'Times New Roman'\">\n\u8f93\u5165\u6570\u636e\u5305\u542b\u591a\u4e2a\u591a\u4e2a\u6d4b\u8bd5\u5b9e\u4f8b\uff0c\u6bcf\u4e2a\u6d4b\u8bd5\u5b9e\u4f8b\u5360\u7528\u4e00\u884c\uff0c\u6bcf\u884c\u5305\u542b\u4e00\u4e2a\u6b63\u6574\u6570n\uff081&lt;n&lt;=20\uff09\uff0cn\u8868\u793a8006\u7684\u7f51\u53cb\u7684\u4eba\u6570\u3002<\/div>\n<div class=\"panel_bottom\" style=\"height:auto; margin:0px; font-family:'Times New Roman'; font-size:14px\">\n&nbsp;<\/div>\n<p><br style=\"font-family:'Times New Roman'; font-size:14px\" \/><\/p>\n<div class=\"panel_title\" align=\"left\" style=\"height:38px; background-color:transparent; padding:0px 14px; color:rgb(124,169,237); font-size:18px; font-family:Arial; font-weight:bold\">\nOutput<\/div>\n<div class=\"panel_content\" style=\"height:auto; margin:0px; padding:0px 20px; font-size:14px; font-family:'Times New Roman'\">\n\u5bf9\u4e8e\u6bcf\u884c\u8f93\u5165\u8bf7\u8f93\u51fa\u53ef\u80fd\u7684\u9519\u8bef\u65b9\u5f0f\u7684\u6570\u91cf\uff0c\u6bcf\u4e2a\u5b9e\u4f8b\u7684\u8f93\u51fa\u5360\u7528\u4e00\u884c\u3002<\/div>\n<div class=\"panel_bottom\" style=\"height:auto; margin:0px; font-family:'Times New Roman'; font-size:14px\">\n&nbsp;<\/div>\n<p><br style=\"font-family:'Times New Roman'; font-size:14px\" \/><\/p>\n<div class=\"panel_title\" align=\"left\" style=\"height:38px; background-color:transparent; padding:0px 14px; color:rgb(124,169,237); font-size:18px; font-family:Arial; font-weight:bold\">\nSample Input<\/div>\n<div class=\"panel_content\" style=\"height:auto; margin:0px; padding:0px 20px; font-size:14px; font-family:'Times New Roman'\">\n<pre style=\"margin-top:0px; margin-bottom:0px\"><div style=\"font-family:'Courier New',Courier,monospace\">2\n3<\/div><\/pre>\n<\/div>\n<div class=\"panel_bottom\" style=\"height:auto; margin:0px; font-family:'Times New Roman'; font-size:14px\">\n&nbsp;<\/div>\n<p><br style=\"font-family:'Times New Roman'; font-size:14px\" \/><\/p>\n<div class=\"panel_title\" align=\"left\" style=\"height:38px; background-color:transparent; padding:0px 14px; color:rgb(124,169,237); font-size:18px; font-family:Arial; font-weight:bold\">\nSample Output<\/div>\n<div class=\"panel_content\" style=\"height:auto; margin:0px; padding:0px 20px; font-size:14px; font-family:'Times New Roman'\">\n<pre style=\"margin-top:0px; margin-bottom:0px\"><div style=\"font-family:'Courier New',Courier,monospace\">1\n2<\/div><\/pre>\n<\/div>\n<div class=\"panel_bottom\" style=\"height:auto; margin:0px; font-family:'Times New Roman'; font-size:14px\">\n&nbsp;<\/div>\n<p><br style=\"font-family:'Times New Roman'; font-size:14px\" \/><\/p>\n<div class=\"panel_title\" align=\"left\" style=\"height:38px; background-color:transparent; padding:0px 14px; color:rgb(124,169,237); font-size:18px; font-family:Arial; font-weight:bold\">\nAuthor<\/div>\n<div class=\"panel_content\" style=\"height:auto; margin:0px; padding:0px 20px; font-size:14px; font-family:'Times New Roman'\">\nlcy<\/div>\n<div class=\"panel_bottom\" style=\"height:auto; margin:0px; font-family:'Times New Roman'; font-size:14px\">\n&nbsp;<\/div>\n<p><br style=\"font-family:'Times New Roman'; font-size:14px\" \/><\/p>\n<div class=\"panel_title\" align=\"left\" style=\"height:38px; background-color:transparent; padding:0px 14px; color:rgb(124,169,237); font-size:18px; font-family:Arial; font-weight:bold\">\nSource<\/div>\n<div class=\"panel_content\" style=\"height:auto; margin:0px; padding:0px 20px; font-size:14px; font-family:'Times New Roman'\">\n<a href=\"http:\/\/acm.hdu.edu.cn\/search.php?field=problem&amp;key=ACM%CA%EE%C6%DA%BC%AF%D1%B5%B6%D3%C1%B7%CF%B0%C8%FC%A3%A8%BE%C5%A3%A9&amp;source=1&amp;searchmode=source\" style=\"color:rgb(26,92,200); text-decoration:none\">ACM\u6691\u671f\u96c6\u8bad\u961f\u7ec3\u4e60\u8d5b\uff08\u4e5d\uff09<\/a><\/div>\n<div class=\"panel_bottom\" style=\"height:auto; margin:0px; font-family:'Times New Roman'; font-size:14px\">\n&nbsp;<\/div>\n<p><br style=\"font-family:'Times New Roman'; font-size:14px\" \/><\/p>\n<div class=\"panel_title\" align=\"left\" style=\"height:38px; background-color:transparent; padding:0px 14px; color:rgb(124,169,237); font-size:18px; font-family:Arial; font-weight:bold\">\nRecommend<\/div>\n<div class=\"panel_content\" style=\"height:auto; margin:0px; padding:0px 20px; font-size:14px; font-family:'Times New Roman'\">\nlcy<\/div>\n<div class=\"panel_bottom\" style=\"height:auto; margin:0px; font-family:'Times New Roman'; font-size:14px\">\n&nbsp;<\/div>\n<p><span style=\"white-space:pre\"><\/span><\/p>\n<p><span style=\"font-size:14px\">\u96be\u5f97\u7684\u4e2d\u6587\u9898\u3002<\/span><\/p>\n<p><span style=\"font-size:14px\">n\u9519\u6392\u516c\u5f0f\uff1aF[n]=(n-1)*(F[n-1]&#43;F[n-2])<\/span><\/p>\n<p><span style=\"font-size:14px\">\u8bc1\u660e\uff1a<\/span><\/p>\n<p><span style=\"font-size:14px\"><span style=\"white-space:pre\"><\/span>1.\u5f53\u524dn-1\u4e2a\u9519\u6392\u65f6\uff1a\u5c06\u5176\u4efb\u610f\u4e00\u5c01\u4fe1\u4e0en\u5bf9\u8c03,\u5171(n-1)*F[n-1]<\/span><\/p>\n<p><span style=\"font-size:14px\"><span style=\"white-space:pre\"><\/span>2.\u5f53\u524dn-2\u4e2a\u9519\u6392\uff0c1\u4e2a\u4e0d\u9519\u6392\u65f6,\u5c06\u4e0d\u9519\u6392\u7684\u90a3\u5c01\u4fe1\u4e0en\u5bf9\u8c03,\u5171(n-1)*F[n-2]<\/span><\/p>\n<p><span style=\"font-size:14px\"><span style=\"white-space:pre\"><\/span>3.\u5f53\u524d\u2264n-3\u4e2a\u9519\u6392\uff0c\u22652\u4e2a\u4e0d\u9519\u6392\u65f6,\u663e\u7136\u65e0\u89e3.<\/span><\/p>\n<p><span style=\"font-size:14px\">\u2234F[n]=(n-1)*F[n-1]&#43;<span style=\"font-size:14px\">(n-2)*F[n-2]<\/span><\/span><\/p>\n<p><span style=\"font-size:14px\"><span style=\"font-size:14px\">\u8bc1\u6bd5<\/span><\/span><\/p>\n<p><span style=\"font-size:14px\"><span style=\"font-size:14px\"><br \/>\n<\/span><\/span><\/p>\n<p><span style=\"font-size:14px\">\u8bb0\u5f97\u7528long long\uff0c\u4e0d\u7136\u4f1a\u7206<\/span><\/p>\n<p><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;iostream&gt;\nusing namespace std;\n#define MAXN (20+10)\nint n;\nlong long f[MAXN]={0,0,1};\nint main()\n{\n\tfor (int i=3;i&lt;=20;i++) f[i]=(i-1)*f[i-1]+f[i-2]*(i-1);\n\twhile (cin&gt;&gt;n) cout&lt;&lt;f[n]&lt;&lt;endl;\n}<\/pre>\n<p><\/p>\n","protected":false},"excerpt":{"rendered":"<p>\u4e0d\u5bb9\u6613\u7cfb\u5217\u4e4b\u4e00 Time Limit: 2000\/1000 MS (Java\/Others)&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":[111],"class_list":["post-319","post","type-post","status-publish","format-standard","hentry","category-defaultcategory","tag-combinatorial_mathematics"],"yoast_head":"<!-- This site is optimized with the Yoast SEO plugin v27.4 - https:\/\/yoast.com\/product\/yoast-seo-wordpress\/ -->\n<title>HDU 1465(\u9519\u6392\u516c\u5f0f) - 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=319\" \/>\n<meta property=\"og:locale\" content=\"zh_CN\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"HDU 1465(\u9519\u6392\u516c\u5f0f) - nike0good\" \/>\n<meta property=\"og:description\" content=\"\u4e0d\u5bb9\u6613\u7cfb\u5217\u4e4b\u4e00 Time Limit: 2000\/1000 MS (Java\/Others)&nbsp;&amp;nb [&hellip;]\" \/>\n<meta property=\"og:url\" content=\"https:\/\/nike0good.com\/?p=319\" \/>\n<meta property=\"og:site_name\" content=\"nike0good\" \/>\n<meta property=\"article:published_time\" content=\"2013-01-23T06:37:00+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=\"1 \u5206\" \/>\n<script type=\"application\/ld+json\" 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