{"id":1050,"date":"2019-03-23T17:21:37","date_gmt":"2019-03-23T09:21:37","guid":{"rendered":"https:\/\/cf.mnihyc.com\/blog\/?p=1050"},"modified":"2020-02-09T02:59:02","modified_gmt":"2020-02-08T18:59:02","slug":"yzoj-p3371-%e7%ae%80%e5%8d%95%e8%ae%a1%e6%95%b0%e9%97%ae%e9%a2%98","status":"publish","type":"post","link":"https:\/\/cf.mnihyc.com\/blog\/archives\/1050","title":{"rendered":"YZOJ P3371 \u7b80\u5355\u8ba1\u6570\u95ee\u9898"},"content":{"rendered":"<h1 style=\"text-align: center;\">YZOJ P3371 \u7b80\u5355\u8ba1\u6570\u95ee\u9898<\/h1>\n<p style=\"text-align: center;\">\u65f6\u95f4\u9650\u5236\uff1a3000MS \u00a0\u00a0\u00a0\u00a0 \u5185\u5b58\u9650\u5236\uff1a262144KB<\/p>\n<p style=\"text-align: center;\">\u96be\u5ea6\uff1a <span style=\"color: #ff9900;\">\\(6.0\\)<\/span>\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0 \u51fa\u9898\u4eba\uff1azzx<\/p>\n<ul>\n<li>\n<h3><strong>\u95ee\u9898\u63cf\u8ff0<\/strong><\/h3>\n<\/li>\n<\/ul>\n<p>\u7ed9\u5b9a\u6b63\u6574\u6570\u5e8f\u5217 \\(a[1], a[2], \\cdots , a[n]\\)\uff0c\u4f60\u9700\u8981\u4f9d\u6b21\u89e3\u51b3 \\(m\\) \u4e2a\u8be2\u95ee\uff0c\u6bcf\u4e2a\u8be2\u95ee\u7528\u4e24\u4e2a\u6b63\u6574\u6570 \\(L, R\\) \u63cf\u8ff0\uff0c \u8bf7\u6c42\u51fa\u6709\u591a\u5c11\u4e2a\u6570\u5728 \\(a[L],a[L+1],\\cdots,a[R]\\) \u4e2d\u51fa\u73b0<strong>\u6b63\u5076\u6570\u6b21<\/strong>\u3002<\/p>\n<ul>\n<li>\n<h3><strong>\u7f16\u7a0b\u4efb\u52a1<\/strong><\/h3>\n<\/li>\n<\/ul>\n<p>\u6c42\u51fa\u6bcf\u4e2a\u67e5\u8be2\u7684\u7ed3\u679c\u3002<\/p>\n<ul>\n<li>\n<h3><strong>\u6570\u636e\u8f93\u5165<\/strong><\/h3>\n<\/li>\n<\/ul>\n<p>\u8f93\u5165\u7b2c\u4e00\u884c\u56db\u4e2a\u6574\u6570 \\(n\\)\u3001\\(c\\)\u3001\\(m\\) \u4ee5\u53ca \\(t\\) \u3002<\/p>\n<p>\u7b2c\u4e8c\u884c \\(n\\) \u4e2a\u6574\u6570 \\(a[1],a[2],\\cdots,a[n]\\)\uff0c\u6bcf\u4e2a\u6570\u5728 \\([1,c]\\) \u95f4\u3002<\/p>\n<p>\u63a5\u4e0b\u6765 \\(m\\) \u884c\u6bcf\u884c\u4e24\u4e2a\u6574\u6570 \\(l\\) \u548c \\(r\\)\uff0c\u8bbe\u4e0a\u4e00\u4e2a\u8be2\u95ee\u7684\u7b54\u6848\u4e3a \\(ans\\) (\u7b2c\u4e00\u4e2a\u8be2\u95ee\u65f6 \\(ans=0\\) )\uff0c\u4ee4 \\(L=(l+t \\times ans) \\bmod n+1, R=(r+t \\times ans) \\bmod n+1\\)\uff0c\u82e5 \\(L&gt;R\\)\uff0c\u4ea4\u6362 \\(L\\) \u548c \\(R\\)\uff0c\u5219\u672c\u6b21\u8be2\u95ee\u4e3a \\([L,R]\\) \u3002<\/p>\n<ul>\n<li>\n<h3><strong>\u7ed3\u679c\u8f93\u51fa<\/strong><\/h3>\n<\/li>\n<\/ul>\n<p>\u5bf9\u4e8e\u6bcf\u4e2a\u8be2\u95ee\uff0c \u8f93\u51fa\u4e00\u884c\u5bf9\u5e94\u7684\u7b54\u6848\u3002<\/p>\n<ul>\n<li>\n<h3><strong>\u6837\u4f8b\u8f93\u5165<\/strong><\/h3>\n<\/li>\n<\/ul>\n<pre class=\"\">5 3 5 1\r\n1 2 2 3 1\r\n0 4\r\n1 2\r\n2 2\r\n2 3\r\n3 5<\/pre>\n<ul>\n<li>\n<h3><strong>\u6837\u4f8b\u8f93\u51fa<\/strong><\/h3>\n<\/li>\n<\/ul>\n<pre class=\"\">2\r\n0\r\n0\r\n0\r\n1<\/pre>\n<ul>\n<li>\n<h3><strong>\u6570\u636e\u8303\u56f4<\/strong><\/h3>\n<\/li>\n<\/ul>\n<p>\u5bf9\u4e8e \\(50\\%\\) \u7684\u6570\u636e\uff0c\u6709 \\(t=0\\) \u3002<\/p>\n<p>\u5bf9\u4e8e\u53e6\u5916 \\(50\\%\\) \u7684\u6570\u636e\uff0c\u6709 \\(t=1\\) \u3002<\/p>\n<p>\u5bf9\u4e8e \\(100\\%\\) \u7684\u6570\u636e\uff0c\\(n, m, c \\leq 100000\\)\u3002<\/p>\n<p>&nbsp;<\/p>\n<p>&nbsp;<\/p>\n<p>&nbsp;<\/p>\n<p><!--more--><\/p>\n<hr \/>\n<p>&nbsp;<\/p>\n<p>&nbsp;<\/p>\n<p>&nbsp;<\/p>\n<p>\u9996\u5148\u5bf9\u4e8e \\(t=0\\) \u7684\u70b9\uff0c\u4e5f\u5c31\u610f\u5473\u7740\u79bb\u7ebf\uff0c\u76f4\u63a5\u4e00\u4e2a\u88f8\u7684\u83ab\u961f\u5373\u53ef\u3002<\/p>\n<p>\u90a3\u672c\u9898\u7684\u6b63\u89e3\u662f\u3002\u3002\u3002\u3002\u3002\u3002\u5728\u3002\u3002\u5728\u7ebf\u3002\u3002\u3002\u5728\u7ebf\u83ab\u961f\uff1f<\/p>\n<p>\u5176\u5b9e\u9898\u89e3\u91cc\u5199\u7684\u5c31\u662f\u3010\u5728\u7ebf\u83ab\u961f\u3011\uff0c\u4f46\u662f\u6211\u4e2a\u4eba\u8ba4\u4e3a\u5c31\u662f\u4e00\u4e2a\u88f8\u7684\u5206\u5757\u3002<\/p>\n<p>\u628a\u5e8f\u5217\u5206\u5757\uff0c\u8bb0\u5f55 \u5757\u5185\u5404\u79cd\u989c\u8272\u51fa\u73b0\u6b21\u6570\u7684\u6876 \u7684<strong>\u524d\u7f00\u548c<\/strong>\uff0c\u7136\u540e\u518d\u8bb0\u5f55 \\(ans_{l, r}\\) \u8868\u793a\u5757 \\(l\\) \u5230 \u5757 \\(r\\) \u4e4b\u95f4\u7684\u7b54\u6848\u3002<\/p>\n<p>\u6876\u7684\u524d\u7f00\u548c\u53ef\u4ee5 \\(O(c\\sqrt n)\\) \u9884\u5904\u7406\uff0c\u4e4b\u540e\u5904\u7406 \\(ans\\) \u4e5f\u53ef\u4ee5\u505a\u5230 \\(O(n\\sqrt n)\\) \u3002<\/p>\n<p>\u90a3\u4e48\u73b0\u5728\u5bf9\u4e8e\u4e00\u4e2a\u8be2\u95ee \\([L, R]\\)\uff1a<\/p>\n<p>\u82e5 \\([L, R]\\) \u6ca1\u6709\u8de8\u8fc7\u8fde\u7eed\u7684\u4e24\u4e2a\u5757\uff0c\u90a3\u4e48\u76f4\u63a5\u66b4\u529b\u7b97\u4e00\u4e0b\u5373\u53ef\uff1b<\/p>\n<p>\u82e5 \\([L, R]\\) \u8de8\u8fc7\u4e86\u81f3\u5c11\u4e24\u4e2a\u8fde\u7eed\u7684\u5757\uff0c\u90a3\u4e48\u627e\u5230 \\(L\\) \u4e4b\u540e\u7684\u4e00\u4e2a\u5757\u7684\u5206\u754c\u70b9 \\(x\\) \u4ee5\u53ca \\(R\\) \u4e4b\u524d\u7684\u4e00\u4e2a\u5757\u7684\u5206\u754c\u70b9 \\(y\\)\uff0c\u7b54\u6848\u5148\u52a0\u4e0a \\(ans_{x, y}\\) \u3002\u5bf9\u4e8e\u5269\u4e0b\u7684\u6570\u518d\u5f00\u4e00\u4e2a\u6876\u66b4\u529b\u52a0\uff0c\u4f46\u662f\u6ce8\u610f\u7684\u662f\u4e00\u4e2a\u6570 \\(c\\) \u51fa\u73b0\u7684\u6b21\u6570\u4e3a \u8fd9\u4e2a\u6876\u5185\u7684\u6b21\u6570+\u4e2d\u95f4\u8de8\u8fc7\u7684\u5757\u4e2d \\(c\\) \u51fa\u73b0\u7684\u6b21\u6570\uff08\u5df2\u7ecf\u524d\u7f00\u548c\u9884\u5904\u7406\u4e86\uff09\u3002<\/p>\n<p>\u65f6\u95f4\u590d\u6742\u5ea6 \\(O((n+c)\\sqrt n)\\) \u3002<del>\uff08\u6211\u8dd1\u57ab\u5e95\u4e86\uff09<\/del><\/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\r\n#define _min(_a_,_b_) ((_a_)&lt;(_b_)?(_a_):(_b_))\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#endif\r\n\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{\r\n\t\ta*=10;a+=c-'0';\r\n\t\tc=getchar();\r\n\t}\r\n\treturn a;\r\n}\r\n\r\nint BlockSize,BlockNum;\r\nint _bpos[105050],_bleft[350],_bright[350];\r\n#define GetBlockPos(_p_) (_bpos[_p_])\r\n#define GetBlockLeft(_w_) (_bleft[_w_])\r\n#define GetBlockRight(_w_) (_bright[_w_])\r\n\/*#define GetBlockPos(_p_) (((_p_)-1)\/BlockSize+1)\r\n#define GetBlockLeft(_w_) (((_w_)-1)*BlockSize+1)\r\n#define GetBlockRight(_w_) _min((_w_)*BlockSize,N)*\/\r\n\r\nint a[105050];\r\n\r\nint gans[350][350],gbucket[350][105050];\r\n\r\n\/\/inline void AddNum(int&amp;ans,int bucket[],register int a,register int offset=0)\r\n#define AddNum(_ans,_bucket,_a,_offset) \\\r\n{ \\\r\n\t_bucket[_a]++; \\\r\n\tif((_offset+_bucket[_a])%2==0) \\\r\n\t\t_ans++; \\\r\n\telse if(_offset+(_bucket[_a])!=1) \\\r\n\t\t_ans--; \\\r\n}\r\n\/\/inline void DelNum(int&amp;ans,int bucket[],register int a,register int offset=0)\r\n#define DelNum(_ans,_bucket,_a,_offset) \\\r\n{ \\\r\n\t_bucket[_a]--; \\\r\n\tif((_offset+_bucket[_a])%2!=0) \\\r\n\t\t_ans--; \\\r\n\telse if(_offset+_bucket[_a]) \\\r\n\t\t_ans++; \\\r\n}\r\n\r\nint main()\r\n{\r\n\tregister int N=getnum(),C=getnum(),M=getnum(),T=getnum();\r\n\tfor(register int i=1;i&lt;=N;i++)\r\n\t\ta[i]=getnum();\r\n\t\r\n\tBlockSize=__builtin_sqrt(N),BlockNum=N\/BlockSize+(N%BlockSize!=0);\r\n\t_bleft[1]=1;\r\n\tfor(register int i=1,tb=1;i&lt;=N;i++)\r\n\t{\r\n\t\t_bpos[i]=tb;\r\n\t\tif(i%BlockSize == 0)\r\n\t\t\t_bright[tb++]=i,_bleft[tb]=i+1;\r\n\t}\r\n\t\r\n\tfor(register int i=1;i&lt;=N;i++)\r\n\t{\r\n\t\tregister int tb=GetBlockPos(i),tbp=GetBlockPos(i-1);\r\n\t\tif(tb != tbp)\r\n\t\t\tmemcpy(&amp;gbucket[tb][0],&amp;gbucket[tbp][0],sizeof(int)*(C+1)),gans[1][tb]=gans[1][tbp];\r\n\t\tAddNum(gans[1][tb],gbucket[tb],a[i],0);\r\n\t}\r\n\t\r\n\tfor(register int i=2;i&lt;=BlockNum;i++)\r\n\t{\r\n\t\tregister int lpos=GetBlockLeft(i);\r\n\t\tstatic int tbucket[105050];\r\n\t\tregister int tans=0;\r\n\t\tfor(register int j=lpos;j&lt;=N;j++)\r\n\t\t{\r\n\t\t\tAddNum(tans,tbucket,a[j],0);\r\n\t\t\tregister int tb=GetBlockPos(j),tbn=GetBlockPos(j+1);\r\n\t\t\tif(tb != tbn)\r\n\t\t\t\tgans[i][tb]=tans;\r\n\t\t}\r\n\t\tgans[i][BlockNum]=tans;\r\n\t\tfor(register int j=lpos;j&lt;=N;j++)\r\n\t\t\tDelNum(tans,tbucket,a[j],0);\r\n\t}\r\n\t\r\n\tregister int lastans=0;\r\n\tfor(register int i=1;i&lt;=M;i++)\r\n\t{\r\n\t\tregister int l=getnum(),r=getnum();\r\n\t\tl=(l+T*lastans)%N+1,r=(r+T*lastans)%N+1;\r\n\t\tif(l&gt;r)\r\n\t\t\tl^=r^=l^=r;\r\n\t\t\r\n\t\tregister int lb=GetBlockPos(l)+1,rb=GetBlockPos(r)-1;\r\n\t\tstatic int tbucket[105050];\r\n\t\tregister int tans=gans[lb][rb];\r\n\t\t\r\n\t\tif(lb&gt;rb)\r\n\t\t{\r\n\t\t\tfor(register int i=l;i&lt;=r;i++)\r\n\t\t\t\tAddNum(tans,tbucket,a[i],0);\r\n\t\t\tprintf(\"%d\\n\",lastans=tans);\r\n\t\t\tfor(register int i=l;i&lt;=r;i++)\r\n\t\t\t\tDelNum(tans,tbucket,a[i],0);\r\n\t\t\tcontinue;\r\n\t\t}\r\n\t\t\r\n\t\tregister int lrpos=GetBlockRight(lb-1),rlpos=GetBlockLeft(rb+1);\r\n\t\tfor(register int i=l;i&lt;=lrpos;i++)\r\n\t\t\tAddNum(tans,tbucket,a[i],gbucket[rb][a[i]]-gbucket[lb-1][a[i]]);\r\n\t\tfor(register int i=rlpos;i&lt;=r;i++)\r\n\t\t\tAddNum(tans,tbucket,a[i],gbucket[rb][a[i]]-gbucket[lb-1][a[i]]);\r\n\t\tprintf(\"%d\\n\",lastans=tans);\r\n\t\tfor(register int i=l;i&lt;=lrpos;i++)\r\n\t\t\tDelNum(tans,tbucket,a[i],0);\r\n\t\tfor(register int i=rlpos;i&lt;=r;i++)\r\n\t\t\tDelNum(tans,tbucket,a[i],0);\r\n\t}\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 P3371 \u7b80\u5355\u8ba1\u6570\u95ee\u9898 \u65f6\u95f4\u9650\u5236\uff1a3000MS \u00a0\u00a0\u00a0\u00a0 \u5185\u5b58\u9650\u5236\uff1a262144KB \u96be\u5ea6\uff1a \u00a0\u00a0 &hellip; <a href=\"https:\/\/cf.mnihyc.com\/blog\/archives\/1050\" class=\"more-link\">\u7ee7\u7eed\u9605\u8bfb<span class=\"screen-reader-text\">YZOJ P3371 \u7b80\u5355\u8ba1\u6570\u95ee\u9898<\/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":[41,73],"tags":[],"class_list":["post-1050","post","type-post","status-publish","format-standard","hentry","category-proa","category-mosa"],"yoast_head":"<!-- This site is optimized with the Yoast SEO plugin v27.1.1 - https:\/\/yoast.com\/product\/yoast-seo-wordpress\/ -->\n<title>YZOJ P3371 \u7b80\u5355\u8ba1\u6570\u95ee\u9898 - mnihyc&#039;s Blog<\/title>\n<meta name=\"description\" content=\"YZOJ P3371 \u7b80\u5355\u8ba1\u6570\u95ee\u9898 \u65f6\u95f4\u9650\u5236\uff1a3000MS \u00a0\u00a0\u00a0\u00a0 \u5185\u5b58\u9650\u5236\uff1a262144KB \u96be\u5ea6\uff1a \u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0 \u51fa\u9898\u4eba\uff1azzx \u95ee\u9898\u63cf\u8ff0 \u7ed9\u5b9a\u6b63\u6574\u6570\u5e8f\u5217 (a, a, cdots , a)\uff0c\u4f60\u9700\u8981\u4f9d\u6b21\u89e3\u51b3 (m) \u4e2a\u8be2\u95ee\uff0c\u6bcf\u4e2a\u8be2\u95ee\u7528\u4e24\u4e2a\u6b63\u6574\u6570 (L, R) \u63cf\u8ff0\uff0c\" \/>\n<meta name=\"robots\" content=\"index, follow, max-snippet:-1, max-image-preview:large, max-video-preview:-1\" \/>\n<link rel=\"canonical\" href=\"https:\/\/cf.mnihyc.com\/blog\/archives\/1050\" \/>\n<meta property=\"og:locale\" content=\"zh_CN\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"YZOJ P3371 \u7b80\u5355\u8ba1\u6570\u95ee\u9898 - mnihyc&#039;s Blog\" \/>\n<meta property=\"og:description\" content=\"YZOJ P3371 \u7b80\u5355\u8ba1\u6570\u95ee\u9898 \u65f6\u95f4\u9650\u5236\uff1a3000MS \u00a0\u00a0\u00a0\u00a0 \u5185\u5b58\u9650\u5236\uff1a262144KB \u96be\u5ea6\uff1a \u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0 \u51fa\u9898\u4eba\uff1azzx \u95ee\u9898\u63cf\u8ff0 \u7ed9\u5b9a\u6b63\u6574\u6570\u5e8f\u5217 (a, a, cdots , 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