{"id":1093,"date":"2019-05-11T16:01:08","date_gmt":"2019-05-11T08:01:08","guid":{"rendered":"https:\/\/mnihyc.com\/blog\/?p=1093"},"modified":"2020-02-09T02:54:55","modified_gmt":"2020-02-08T18:54:55","slug":"yzoj-p3933-baltic2004sequence","status":"publish","type":"post","link":"https:\/\/mnihyc.com\/blog\/archives\/1093","title":{"rendered":"YZOJ P3933 [Baltic2004]sequence"},"content":{"rendered":"<h1 style=\"text-align: center;\">YZOJ P3933 [Baltic2004]sequence<\/h1>\n<p style=\"text-align: center;\">\u65f6\u95f4\u9650\u5236\uff1a1000MS \u00a0\u00a0\u00a0\u00a0 \u5185\u5b58\u9650\u5236\uff1a65536KB<\/p>\n<p style=\"text-align: center;\">\u96be\u5ea6\uff1a<span style=\"color: #ff9900;\">\\(6.0\\)<\/span><\/p>\n<ul>\n<li>\n<h3><strong>\u9898\u76ee\u63cf\u8ff0<\/strong><\/h3>\n<\/li>\n<\/ul>\n<p>\u7ed9\u5b9a\u4e00\u4e2a\u5e8f\u5217 \\(t_1,t_2,\\cdots,t_n\\)\uff0c\u6c42\u4e00\u4e2a\u9012\u589e\u5e8f\u5217 \\(z_1&lt;z_2&lt;\\cdots&lt;z_n\\)\uff0c\u4f7f\u5f97 \\(R=\\sum\\limits_{i=1}^{n}{\\left|t_i-z_i\\right|}\\) \u7684\u503c\u6700\u5c0f\u3002<\/p>\n<p>\u672c\u9898\u4e2d\uff0c\u6211\u4eec\u53ea\u9700\u8981\u6c42\u51fa\u8fd9\u4e2a\u6700\u5c0f\u7684 \\(R\\) \u503c\u3002<\/p>\n<ul>\n<li>\n<h3><strong>\u8f93\u5165\u683c\u5f0f<\/strong><\/h3>\n<\/li>\n<\/ul>\n<p>\u7b2c\u4e00\u884c\u4e3a\u4e00\u4e2a\u6b63\u6574\u6570 \\(n\\)<\/p>\n<p>\u7b2c\u4e8c\u884c\u5230\u7b2c \\(n+1\\) \u884c\uff0c\u6bcf\u884c\u4e00\u4e2a\u6574\u6570\uff0c\u7b2c \\(k+1\\) \u884c\u4e3a \\(t_k\\)<\/p>\n<ul>\n<li>\n<h3><strong>\u8f93\u51fa\u683c\u5f0f<\/strong><\/h3>\n<\/li>\n<\/ul>\n<p>\u4e00\u4e2a\u6574\u6570 \\(R\\)<\/p>\n<ul>\n<li>\n<h3><strong>\u6837\u4f8b\u8f93\u5165<\/strong><\/h3>\n<\/li>\n<\/ul>\n<pre class=\"lang:default decode:true \">7\r\n9\r\n4\r\n8\r\n20\r\n14\r\n15\r\n18<\/pre>\n<ul>\n<li>\n<h3><strong>\u6837\u4f8b\u8f93\u51fa<\/strong><\/h3>\n<\/li>\n<\/ul>\n<pre class=\"lang:default decode:true \">13<\/pre>\n<ul>\n<li>\n<h3><strong>\u6837\u4f8b\u8bf4\u660e<\/strong><\/h3>\n<\/li>\n<\/ul>\n<p>\u6240\u6c42\u7684 \\(z\\) \u5e8f\u5217\u4e3a \\(6,7,8,13,14,15,18\\)\uff0c\\(R=13\\)<\/p>\n<ul>\n<li>\n<h3><strong>\u6570\u636e\u89c4\u6a21\u4e0e\u7ea6\u5b9a<\/strong><\/h3>\n<\/li>\n<\/ul>\n<p>\u5bf9\u4e8e \\(100\\%\\) \u7684\u6570\u636e\uff0c\\(1 \\leq n \\leq 10^6\\)\uff0c\\(1 \\leq t_i \\leq 2\\times 10^9\\) \u3002<\/p>\n<p>&nbsp;<\/p>\n<p>&nbsp;<\/p>\n<p>Source: BZOJ 1367<\/p>\n<p><!--more--><\/p>\n<hr \/>\n<p>&nbsp;<\/p>\n<p>&nbsp;<\/p>\n<p>&nbsp;<\/p>\n<p>\u5c1d\u8bd5\u5f31\u5316\u6761\u4ef6\uff0c\u8003\u8651\u627e\u5230\u5355\u8c03\u4e0d\u5347\u7684 \\(z\\) \u3002<\/p>\n<p>\u7ecf\u8fc7<del> \u63a8\u7406<\/del> \u731c\u6d4b\u548c\u9a8c\u8bc1\uff0c\u53ef\u4ee5\u53d1\u73b0\u5bf9\u4e8e \\(a_i\\) \u5355\u8c03\u4e0d\u964d\u7684\u67d0\u6bb5\u533a\u95f4\uff0c \\(z_j\\) \u7b49\u4e8e \\(a_i\\) \u4f7f\u5f97\u7b54\u6848\u6700\u5c0f\u3002<\/p>\n<p>\u8fdb\u800c\uff0c\u53ef\u4ee5\u53d1\u73b0\u5bf9\u4e8e \\(a_i\\) \u5355\u8c03\u4e0d\u5347\u7684\u67d0\u6bb5\u533a\u95f4\uff0c\\(z_j\\) \u7b49\u4e8e \\(a_{mid}\\) \u4f7f\u5f97\u7b54\u6848\u6700\u5c0f\uff08\\(a_{mid}\\) \u8868\u793a\u8fd9\u6bb5\u533a\u95f4\u7684\u4e2d\u4f4d\u6570\uff09\u3002<\/p>\n<p>\u95ee\u9898\u8f6c\u5316\u4e3a\uff0c\u8981\u628a \\(a\\) \u5206\u5272\u6210\u8fde\u7eed\u7684\u51e0\u6bb5\u533a\u95f4\uff0c\u4f7f\u5f97\u6bcf\u6bb5\u533a\u95f4\u7684\u4e2d\u4f4d\u6570<strong>\u5355\u8c03\u4e0d\u964d<\/strong>\u3002<\/p>\n<p>\u7ef4\u62a4\u533a\u95f4\u4e2d\u4f4d\u6570\u53ef\u4ee5\u7528\u4e00\u4e2a\u5806\uff0c\u4f7f\u5806\u6ee1\u8db3 <strong>\\({\u5143\u7d20\u4e2a\u6570} = \\lfloor\\frac{\\large{\u533a\u95f4\u957f\u5ea6}}{2}\\rfloor\\)<\/strong> \uff0c \u5806\u9876\u5373\u662f\u4e2d\u4f4d\u6570\uff08\u53d6\u4e0d\u53d6\u5e73\u5747\u503c\u7b54\u6848\u76f8\u540c\uff09 \u3002<\/p>\n<p>\u6ce8\u610f\u5230\u4e3a\u4e86\u4f7f\u4e2d\u4f4d\u6570\u5355\u8c03\u4e0d\u964d\uff0c\u53ef\u80fd\u4f1a\u628a\u5f53\u524d\u5806\u4e0e\u4e0a\u4e00\u4e2a\u533a\u95f4\u7684\u5806\u5408\u5e76\uff0c\u6240\u4ee5\u4f7f\u7528 <del>pb_ds<\/del> <del>\u914d\u5bf9\u5806<\/del> \u5de6\u504f\u6811\u7ef4\u62a4\u3002 <br \/>\n<del><\/del><\/p>\n<p>\u8fd8\u6709\uff0c\u8981\u6c42\u5355\u8c03\u4e0a\u5347\u7684 \\(z\\) \uff0c\u53ea\u9700\u8981\u628a \\(a_i\\) \u4fee\u6539\u4e3a \\(a_i-i\\) \u5373\u53ef\u3002<\/p>\n<p><a href=\"https:\/\/wenku.baidu.com\/view\/20e9ff18964bcf84b9d57ba1.html\">https:\/\/wenku.baidu.com\/view\/20e9ff18964bcf84b9d57ba1.html<\/a><\/p>\n<p>\uff08\u6211 pb_ds \u505a\u9519\u4e86\u4ec0\u4e48www<\/p>\n<p>&nbsp;<\/p>\n<pre class=\"lang:default decode:true \">#include &lt;cstdio&gt;\r\n#include &lt;cstdlib&gt;\r\n#include &lt;cstring&gt;\r\n#include &lt;climits&gt;\r\n#include &lt;ext\/pb_ds\/assoc_container.hpp&gt;\r\n#include &lt;ext\/pb_ds\/priority_queue.hpp&gt;\r\n\r\n#define _abs(_a) ((_a)&lt;0?-(_a):(_a))\r\n\r\n#ifdef ONLINE_JUDGE\r\n\tchar __B[1&lt;&lt;15],*__S=__B,*__T=__B;\r\n\t#define getchar() (__S==__T&amp;&amp;(__T=(__S=__B)+fread(__B,1,1&lt;&lt;15,stdin),__S==__T)?EOF:*__S++)\r\n\t#pragma GCC optimize(3)\r\n#endif\r\ninline int getnum()\r\n{\r\n\tregister char c=0;\r\n\twhile(!(c&gt;='0' &amp;&amp; c&lt;='9'))\r\n\t\tc=getchar();\r\n\tregister int a=0;\r\n\twhile(c&gt;='0' &amp;&amp; c&lt;='9')\r\n\t\ta=a*10+c-'0',c=getchar();\r\n\treturn a;\r\n}\r\n\r\nint t[1050505],lpos[1050505],rpos[1050505];\r\n__gnu_pbds::priority_queue&lt;int&gt;pq[1000001];\r\n\r\nint main()\r\n{\r\n\tregister int N=getnum();\r\n\t\r\n\tregister int cnt=0;\r\n\tfor(register int i=1;i&lt;=N;i++)\r\n\t{\r\n\t\tt[i]=getnum()-i;\r\n\t\t\r\n\t\tpq[++cnt].push(t[i]),lpos[cnt]=rpos[cnt]=i;\r\n\t\twhile(cnt&gt;1 &amp;&amp; pq[cnt].top() &lt; pq[cnt-1].top())\r\n\t\t{\r\n\t\t\tpq[cnt-1].join(pq[cnt]),pq[cnt--].clear();\r\n\t\t\trpos[cnt]=rpos[cnt+1];\r\n\t\t\twhile((int)(pq[cnt].size()&lt;&lt;1) &gt; rpos[cnt]-lpos[cnt]+2)\r\n\t\t\t\tpq[cnt].pop();\r\n\t\t}\r\n\t}\r\n\t\r\n\tlong long ans=0;\r\n\tfor(register int i=1;i&lt;=cnt;i++)\r\n\t\tfor(register int j=lpos[i];j&lt;=rpos[i];j++)\r\n\t\t\tans+=_abs(t[j]-pq[i].top());\r\n\tprintf(\"%lld\\n\",ans);\r\n\t\r\n\treturn 0;\r\n}<\/pre>\n<p>&nbsp;<\/p>\n<p>&nbsp;<\/p>\n<p>&nbsp;<\/p>\n","protected":false},"excerpt":{"rendered":"<p>YZOJ P3933 [Baltic2004]sequence \u65f6\u95f4\u9650\u5236\uff1a1000MS \u00a0\u00a0\u00a0\u00a0 \u5185\u5b58\u9650\u5236\uff1a6 &hellip; <a href=\"https:\/\/mnihyc.com\/blog\/archives\/1093\" class=\"more-link\">\u7ee7\u7eed\u9605\u8bfb<span class=\"screen-reader-text\">YZOJ P3933 [Baltic2004]sequence<\/span><\/a><\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"open","ping_status":"closed","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[41,80],"tags":[],"class_list":["post-1093","post","type-post","status-publish","format-standard","hentry","category-proa","category-mergeableheap"],"yoast_head":"<!-- This site is optimized with the Yoast SEO plugin v27.1.1 - https:\/\/yoast.com\/product\/yoast-seo-wordpress\/ -->\n<title>YZOJ P3933 [Baltic2004]sequence - mnihyc&#039;s Blog<\/title>\n<meta name=\"description\" content=\"YZOJ P3933 sequence \u65f6\u95f4\u9650\u5236\uff1a1000MS \u00a0\u00a0\u00a0\u00a0 \u5185\u5b58\u9650\u5236\uff1a65536KB \u96be\u5ea6\uff1a \u9898\u76ee\u63cf\u8ff0 \u7ed9\u5b9a\u4e00\u4e2a\u5e8f\u5217 (t_1,t_2,cdots,t_n)\uff0c\u6c42\u4e00\u4e2a\u9012\u589e\u5e8f\u5217 (z_1&lt;z_2&lt;cdots&lt;z_n)\uff0c\u4f7f\u5f97\" \/>\n<meta name=\"robots\" content=\"index, follow, max-snippet:-1, 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