{"id":341,"date":"2013-02-26T16:04:00","date_gmt":"2013-02-26T08:04:00","guid":{"rendered":"http:\/\/nike0good.jp1.rpvhost.net\/245"},"modified":"2013-02-26T16:04:00","modified_gmt":"2013-02-26T08:04:00","slug":"bzoj_1076_scoi2008_bonus_levels_-_expected_the_dp-from_back_to_front","status":"publish","type":"post","link":"https:\/\/nike0good.com\/?p=341","title":{"rendered":"BZOJ 1076([SCOI2008]\u5956\u52b1\u5173-\u671f\u671bdp-\u4ece\u540e\u5411\u524d)"},"content":{"rendered":"<p><center style=\"font-family:arial,verdana,helvetica,sans-serif; font-size:14px\"><\/p>\n<h2 style=\"color:blue\">1076: [SCOI2008]\u5956\u52b1\u5173<\/h2>\n<p><span class=\"green\">Time Limit:&nbsp;<\/span>10 Sec&nbsp;&nbsp;<span class=\"green\">Memory Limit:&nbsp;<\/span>162 MB<br \/>\n<span class=\"green\">Submit:&nbsp;<\/span>328&nbsp;&nbsp;<span class=\"green\">Solved:&nbsp;<\/span>199<br \/>\n[<a href=\"http:\/\/www.lydsy.com\/JudgeOnline\/submitpage.php?id=1076\" style=\"color:blue; text-decoration:none\">Submit<\/a>][<a href=\"http:\/\/www.lydsy.com\/JudgeOnline\/problemstatus.php?id=1076\" style=\"color:blue; text-decoration:none\">Status<\/a>][<a href=\"http:\/\/www.lydsy.com\/JudgeOnline\/bbs.php?id=1076\" style=\"color:blue; text-decoration:none\">Discuss<\/a>]<\/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\u4f60\u6b63\u5728\u73a9\u4f60\u6700\u559c\u6b22\u7684\u7535\u5b50\u6e38\u620f\uff0c\u5e76\u4e14\u521a\u521a\u8fdb\u5165\u4e00\u4e2a\u5956\u52b1\u5173\u3002\u5728\u8fd9\u4e2a\u5956\u52b1\u5173\u91cc\uff0c\u7cfb\u7edf\u5c06\u4f9d\u6b21\u968f\u673a\u629b\u51fak\u6b21\u5b9d\u7269\uff0c\u6bcf\u6b21\u4f60\u90fd\u53ef\u4ee5\u9009\u62e9\u5403\u6216\u8005\u4e0d\u5403\uff08\u5fc5\u987b\u5728\u629b\u51fa\u4e0b\u4e00\u4e2a\u5b9d\u7269\u4e4b\u524d\u505a\u51fa\u9009\u62e9\uff0c\u4e14\u73b0\u5728\u51b3\u5b9a\u4e0d\u5403\u7684\u5b9d\u7269\u4ee5\u540e\u4e5f\u4e0d\u80fd\u518d\u5403\uff09\u3002 \u5b9d\u7269\u4e00\u5171\u6709n\u79cd\uff0c\u7cfb\u7edf\u6bcf\u6b21\u629b\u51fa\u8fd9n\u79cd\u5b9d\u7269\u7684\u6982\u7387\u90fd\u76f8\u540c\u4e14\u76f8\u4e92\u72ec\u7acb\u3002\u4e5f\u5c31\u662f\u8bf4\uff0c\u5373\u4f7f\u524dk-1\u6b21\u7cfb\u7edf\u90fd\u629b\u51fa\u5b9d\u72691\uff08\u8fd9\u79cd\u60c5\u51b5\u662f\u6709\u53ef\u80fd\u51fa\u73b0\u7684\uff0c\u5c3d\u7ba1\u6982\u7387\u975e\u5e38\u5c0f\uff09\uff0c\u7b2ck\u6b21\u629b\u51fa\u5404\u4e2a\u5b9d\u7269\u7684\u6982\u7387\u4f9d\u7136\u5747\u4e3a1\/n\u3002 \u83b7\u53d6\u7b2ci\u79cd\u5b9d\u7269\u5c06\u5f97\u5230Pi\u5206\uff0c\u4f46\u5e76\u4e0d\u662f\u6bcf\u79cd\u5b9d\u7269\u90fd\u662f\u53ef\u4ee5\u968f\u610f\u83b7\u53d6\u7684\u3002\u7b2ci\u79cd\u5b9d\u7269\u6709\u4e00\u4e2a\u524d\u63d0\u5b9d\u7269\u96c6\u5408Si\u3002\u53ea\u6709\u5f53Si\u4e2d\u6240\u6709\u5b9d\u7269\u90fd\u81f3\u5c11\u5403\u8fc7\u4e00\u6b21\uff0c\u624d\u80fd\u5403\u7b2ci\u79cd\u5b9d\u7269\uff08\u5982\u679c\u7cfb\u7edf\u629b\u51fa\u4e86\u4e00\u4e2a\u76ee\u524d\u4e0d\u80fd\u5403\u7684\u5b9d\u7269\uff0c\u76f8\u5f53\u4e8e\u767d\u767d\u7684\u635f\u5931\u4e86\u4e00\u6b21\u673a\u4f1a\uff09\u3002\u6ce8\u610f\uff0cPi\u53ef\u4ee5\u662f\u8d1f\u6570\uff0c\u4f46\u5982\u679c\u5b83\u662f\u5f88\u591a\u9ad8\u5206\u5b9d\u7269\u7684\u524d\u63d0\uff0c\u635f\u5931\u77ed\u671f\u5229\u76ca\u800c\u5403\u6389\u8fd9\u4e2a\u8d1f\u5206\u5b9d\u7269\u5c06\u83b7\u5f97\u66f4\u5927\u7684\u957f\u671f\u5229\u76ca\u3002<br \/>\n \u5047\u8bbe\u4f60\u91c7\u53d6\u6700\u4f18\u7b56\u7565\uff0c\u5e73\u5747\u60c5\u51b5\u4f60\u4e00\u5171\u80fd\u5728\u5956\u52b1\u5173\u5f97\u5230\u591a\u5c11\u5206&#20540;\uff1f<\/div>\n<h2 style=\"font-family:arial,verdana,helvetica,sans-serif; color:blue\">Input<\/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\u7b2c\u4e00\u884c\u4e3a\u4e24\u4e2a\u6b63\u6574\u6570k\u548cn\uff0c\u5373\u5b9d\u7269\u7684\u6570\u91cf\u548c\u79cd\u7c7b\u3002\u4ee5\u4e0bn\u884c\u5206\u522b\u63cf\u8ff0\u4e00\u79cd\u5b9d\u7269\uff0c\u5176\u4e2d\u7b2c\u4e00\u4e2a\u6574\u6570\u4ee3\u8868\u5206&#20540;\uff0c\u968f\u540e\u7684\u6574\u6570\u4f9d\u6b21\u4ee3\u8868\u8be5\u5b9d\u7269\u7684\u5404\u4e2a\u524d\u63d0\u5b9d\u7269\uff08\u5404\u5b9d\u7269\u7f16\u53f7\u4e3a1\u5230n\uff09\uff0c\u4ee50\u7ed3\u5c3e\u3002<\/div>\n<h2 style=\"font-family:arial,verdana,helvetica,sans-serif; color:blue\">Output<\/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\u8f93\u51fa\u4e00\u4e2a\u5b9e\u6570\uff0c\u4fdd\u7559\u516d\u4f4d\u5c0f\u6570\uff0c\u5373\u5728\u6700\u4f18\u7b56\u7565\u4e0b\u5e73\u5747\u60c5\u51b5\u7684\u5f97\u5206\u3002<\/div>\n<h2 style=\"font-family:arial,verdana,helvetica,sans-serif; color:blue\">Sample Input<\/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<span class=\"sampledata\" style=\"font-family:monospace; white-space:pre; background-color:rgb(141,184,255); font-size:18px\">1 2<br style=\"font-family:arial,verdana,helvetica,sans-serif!important\" \/><br \/>\n1 0<br style=\"font-family:arial,verdana,helvetica,sans-serif!important\" \/><br \/>\n2 0<br style=\"font-family:arial,verdana,helvetica,sans-serif!important\" \/><br \/>\n<\/span><\/div>\n<h2 style=\"font-family:arial,verdana,helvetica,sans-serif; color:blue\">Sample Output<\/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<span class=\"sampledata\" style=\"font-family:monospace; white-space:pre; background-color:rgb(141,184,255); font-size:18px\"><br style=\"font-family:arial,verdana,helvetica,sans-serif!important\" \/><br \/>\n1.500000<br style=\"font-family:arial,verdana,helvetica,sans-serif!important\" \/><br \/>\n<\/span><\/div>\n<h2 style=\"font-family:arial,verdana,helvetica,sans-serif; color:blue\">HINT<\/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>\n\u3010\u6837\u4f8b2\u3011&nbsp;<br \/>\nInput&nbsp;<br \/>\n6 6&nbsp;<br \/>\n12 2 3 4 5 0&nbsp;<br \/>\n15 5 0&nbsp;<br \/>\n-2 2 4 5 0&nbsp;<br \/>\n-11 2 5 0&nbsp;<br \/>\n5 0&nbsp;<br \/>\n1 2 4 5 0&nbsp;<br \/>\nOutput&nbsp;<br \/>\n10.023470&nbsp;<br \/>\n\u3010\u6570\u636e\u89c4\u6a21\u3011&nbsp;<br \/>\n1&lt;=k&lt;=100,1&lt;=n&lt;=15\uff0c\u5206&#20540;\u4e3a[-10^6,10^6]\u5185\u7684\u6574\u6570\u3002&nbsp;\n<\/p>\n<\/div>\n<h2 style=\"font-family:arial,verdana,helvetica,sans-serif; color:blue\">Source<\/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><a href=\"http:\/\/www.lydsy.com\/JudgeOnline\/problemset.php?search=\" style=\"color:blue; text-decoration:none\"><\/a><\/p>\n<\/div>\n<p>\n<\/p>\n<p><span style=\"font-size:14px\">\u671f\u671bDP.<\/span><\/p>\n<p><span style=\"font-size:14px\">\u6839\u636e\u671f\u671bDP \u8fd9\u4e00\u6b65\u7684\u671f\u671b=(\u4e0a\u4e00\u6b65\u7684\u671f\u671b&#43;\u4e0a\u4e00\u6b65de\u5f97\u5206)\/k <span style=\"font-size:14px\"><br \/>\n(<\/span>k\u4e3a\u79cd\u7c7b\u6570)<\/span><\/p>\n<p><span style=\"font-size:14px\"><strong>\u4ece\u540e\u5f80\u524d<\/strong>\u7b97\u662f<strong>\u89c4\u907f\u4e0d\u53ef\u80fd\u72b6\u6001<\/strong>\u7684\u5e38\u7528\u624b\u6bb5<\/span><\/p>\n<p><span style=\"font-size:14px\"><br \/>\n<\/span><\/p>\n<p><span style=\"font-size:14px\"><\/span><\/p>\n<pre name=\"code\" class=\"cpp\">#include&lt;cstdio&gt;\n#include&lt;cstring&gt;\n#include&lt;algorithm&gt;\n#include&lt;cstdlib&gt;\n#include&lt;functional&gt;\n#include&lt;iostream&gt;\nusing namespace std;\n#define MAXN (100+10)\n#define MAXK (16)\ndouble f[MAXN][(1&lt;&lt;MAXK)-1];\nint n,k,p[MAXK+1],d[MAXK+1]={0};\nint main()\n{\n\tscanf(&quot;%d%d&quot;,&amp;n,&amp;k);\n\tint m=(1&lt;&lt;k)-1;\n\tfor (int i=0;i&lt;MAXN;i++)\n\t\tfor (int j=0;j&lt;=m;j++) f[i][j]=0.0;\n\tfor (int i=1;i&lt;=k;i++)\n\t{\n\t\tscanf(&quot;%d&quot;,&amp;p[i]);\n\t\tint t;\n\t\twhile (scanf(&quot;%d&quot;,&amp;t)!=EOF&amp;&amp;t)\n\t\t{\n\t\t\td[i]|=(1&lt;&lt;(t-1));\n\t\t}\n\t}\n\tfor (int i=n;i;i--)\n\t\tfor (int j=0;j&lt;=m;j++)\n\t\t{\n\t\t\tfor (int l=1;l&lt;=k;l++)\n\t\t\t\tif ((d[l]&amp;j)==d[l])\n\t\t\t\t\tf[i][j]+=max(f[i+1][j],f[i+1][j|(1&lt;&lt;(l-1))]+p[l]);\/\/eat or not\n\t\t\t\t\telse f[i][j]+=f[i+1][j]; \/\/can't eat\n\t\t\tf[i][j]\/=(double)k;\n\t\t}\n\tprintf(&quot;%.6lfn&quot;,f[1][0]);\n\treturn 0;\n}<\/pre>\n<\/p>\n<p><span style=\"font-size:14px\"><br \/>\n<\/span><\/p>\n","protected":false},"excerpt":{"rendered":"<p>1076: [SCOI2008]\u5956\u52b1\u5173 Time Limit:&nbsp;10 Sec&nbsp;&nbsp; [&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":[87],"class_list":["post-341","post","type-post","status-publish","format-standard","hentry","category-defaultcategory","tag-expectations_dp"],"yoast_head":"<!-- This site is optimized with the Yoast SEO plugin v27.5 - https:\/\/yoast.com\/product\/yoast-seo-wordpress\/ -->\n<title>BZOJ 1076([SCOI2008]\u5956\u52b1\u5173-\u671f\u671bdp-\u4ece\u540e\u5411\u524d) - 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=341\" \/>\n<meta property=\"og:locale\" content=\"zh_CN\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"BZOJ 1076([SCOI2008]\u5956\u52b1\u5173-\u671f\u671bdp-\u4ece\u540e\u5411\u524d) - nike0good\" \/>\n<meta property=\"og:description\" content=\"1076: [SCOI2008]\u5956\u52b1\u5173 Time Limit:&nbsp;10 Sec&nbsp;&nbsp; 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