{"id":1228,"date":"2019-07-02T17:06:52","date_gmt":"2019-07-02T09:06:52","guid":{"rendered":"https:\/\/0.mnihyc.com\/blog\/?p=1228"},"modified":"2020-02-09T02:19:24","modified_gmt":"2020-02-08T18:19:24","slug":"yzoj-p3942-gss2%e5%8a%a0%e5%bc%ba%e7%89%88","status":"publish","type":"post","link":"https:\/\/0.mnihyc.com\/blog\/archives\/1228","title":{"rendered":"YZOJ P3942 gss2\u52a0\u5f3a\u7248"},"content":{"rendered":"<h1 style=\"text-align: center;\">YZOJ P3942 gss2\u52a0\u5f3a\u7248<\/h1>\n<p style=\"text-align: center;\">\u65f6\u95f4\u9650\u5236\uff1a2000MS \u00a0\u00a0\u00a0\u00a0 \u5185\u5b58\u9650\u5236\uff1a524288KB<\/p>\n<p style=\"text-align: center;\">\u96be\u5ea6\uff1a<span style=\"color: #993300;\">\\(7.0\\)<\/span><\/p>\n<ul>\n<li>\n<h3><strong>\u9898\u76ee\u63cf\u8ff0<\/strong><\/h3>\n<\/li>\n<\/ul>\n<p>\u7ed9\u4f60 \\(n\\) \u4e2a\u6570\uff0c\u4f60\u9700\u8981\u652f\u6301\u4e00\u4e0b\u4e24\u79cd\u64cd\u4f5c\u3002<\/p>\n<p><code>U x y<\/code>\uff1a\u5c06\u7b2c \\(x\\) \u4e2a\u6570\u4fee\u6539\u6210 \\(y\\) \uff1b<\/p>\n<p><code>Q x y<\/code>\uff1a\u8ba1\u7b97\u4ece\u7b2c \\(x\\) \u4e2a\u6570\u81f3\u7b2c \\(y\\) \u4e2a\u6570\u4e2d\u4e0d\u540c\u6570\u7684\u548c\u5e76\u8f93\u51fa\u3002\u5982\u5bf9\u4e8e\u4e00\u6bb5\u6570 \\(1,2,3,2,7\\)\uff0c\u5b83\u7684\u503c\u662f \\(13=1+2+3+7\\) \u3002<\/p>\n<ul>\n<li>\n<h3><strong>\u8f93\u5165\u683c\u5f0f<\/strong><\/h3>\n<\/li>\n<\/ul>\n<p>\u7b2c\u4e00\u884c \\(n\\) \u8868\u793a\u6570\u7684\u4e2a\u6570\uff1b<\/p>\n<p>\u7b2c\u4e8c\u884c\u5305\u542b\u8fd9 \\(n\\) \u4e2a\u6570\uff1b<\/p>\n<p>\u7b2c\u4e09\u884c \\(m\\) \u8868\u793a\u64cd\u4f5c\u6b21\u6570\uff1b<\/p>\n<p>\u63a5\u4e0b\u6765 \\(m\\) \u884c\u6bcf\u884c\u4e09\u4e2a\u6570\u8868\u793a\u9898\u76ee\u63cf\u8ff0\u7684\u64cd\u4f5c\u3002<\/p>\n<ul>\n<li>\n<h3><strong>\u8f93\u51fa\u683c\u5f0f<\/strong><\/h3>\n<\/li>\n<\/ul>\n<p>\u5bf9\u4e8e\u6bcf\u4e2a Q \u64cd\u4f5c\u8fd4\u56de\u4e00\u4e2a\u503c\u3002<\/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 \">5\r\n1 2 4 2 3 \r\n3\r\nQ 2 4\r\nU 4 7\r\nQ 2 4<\/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 \">6\r\n13<\/pre>\n<ul>\n<li>\n<h3><strong>\u6570\u636e\u89c4\u6a21\u4e0e\u7ea6\u5b9a<\/strong><\/h3>\n<\/li>\n<\/ul>\n<p>\u6240\u6709\u7684\u8f93\u5165\u5747\u5728 <span class=\"lang:default decode:true  crayon-inline \">int<\/span>\u00a0 \u4ee5\u5185\u3002<\/p>\n<p>\\(n \\leq 100000 , m \\leq 100000\\)<\/p>\n<p>&nbsp;<\/p>\n<p>&nbsp;<\/p>\n<p>Source\uff1a BZOJ 2883<\/p>\n<p><!--more--><\/p>\n<hr \/>\n<p>&nbsp;<\/p>\n<p>&nbsp;<\/p>\n<p>&nbsp;<\/p>\n<p>\u601d\u60f3\u7c7b\u4f3c\u4e8e <a href=\"https:\/\/0.mnihyc.com\/blog\/archives\/1161\">P3706<\/a> \uff0c\u6c42\u533a\u95f4\u5185\u4e0d\u540c\u6570\u7684\u548c \u7b49\u4ef7\u4e8e \u533a\u95f4\u5185\u7b2c\u4e00\u6b21\u51fa\u73b0\u7684\u6570\u7684\u548c\u3002<\/p>\n<p>\u6240\u4ee5\u53ef\u4ee5\u7ef4\u62a4\u6bcf\u4e2a\u4f4d\u7f6e\u4e0a \u4e0a\u4e00\u4e2a\u4e0e\u5b83\u6570\u503c\u76f8\u540c\u7684\u4f4d\u7f6e \\(pre\\)\uff0c\u5bf9\u4e8e\u533a\u95f4 \\([l, r]\\) \uff0c\u82e5\u6709 \\(pre &lt; l\\) \u5219\u53ef\u4ee5\u52a0\u5165\u7b54\u6848\u3002<\/p>\n<p>\u663e\u7136\u4fee\u6539\u65f6\u4f1a\u5f71\u54cd\u5230\u5176\u5b83\u4f4d\u7f6e\u7684\u524d\u9a71\uff0c\u6240\u4ee5\u5bf9\u4e8e\u6bcf\u79cd\u6570\u7528 <span class=\"lang:default decode:true  crayon-inline \">std::set<\/span>\u00a0 \u7ef4\u62a4\u76f8\u540c\u6570\u7684\u4f4d\u7f6e\u3002<\/p>\n<p>\u8be2\u95ee\u76f8\u5f53\u4e8e\u628a\u6bcf\u4e2a\u4f4d\u7f6e\u770b\u6210\u4e8c\u7ef4\u5750\u6807\u7cfb\u4e2d\u7684\u4e00\u4e2a\u70b9 \\(\\left(pre,i\\right)\\) \uff0c\u5e76\u6c42 \\(x \\in [0, l-1], y \\in [l, r]\\) \u7684\u6240\u6709\u70b9\u7684 \\(a_i\\) \u4e4b\u548c\u3002<\/p>\n<p>\u663e\u7136\u53ef\u4ee5\u7528\u4e8c\u7ef4\u7ebf\u6bb5\u6811\u7ef4\u62a4\u3002<\/p>\n<p>\u8fd8\u6709\u4e00\u79cd\u7ebf\u6bb5\u6811\u5957\u5e73\u8861\u6811\u7684\u505a\u6cd5\uff0c\u7a7a\u95f4\u590d\u6742\u5ea6\u4f1a\u6bd4\u8f83\u5c0f\u3002<\/p>\n<p>\u65f6\u95f4\u590d\u6742\u5ea6\u90fd\u4e3a \\(O(n \\log^2 n)\\) \u3002<\/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;algorithm&gt;\r\n#include &lt;ext\/pb_ds\/assoc_container.hpp&gt;\r\n#include &lt;ext\/pb_ds\/tree_policy.hpp&gt;\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') &amp;&amp; c!='U' &amp;&amp; c!='Q')\r\n\t\tc=getchar();\r\n\tif(c=='U')\r\n\t\treturn 0;\r\n\telse if(c=='Q')\r\n\t\treturn 1;\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 val[205050],lv;\r\n#define GetValMap(_a) (std::lower_bound(&amp;val[1],&amp;val[lv+1],_a)-&amp;val[0])\r\nint a[105050],pre[105050];\r\n\r\n#define _SIZE 27778888\r\nint cnt,root[105050],lson[_SIZE],rson[_SIZE];\r\nlong long smv[_SIZE];\r\n\r\nint MP,MV;\r\nvoid ModifyTree(int&amp;o,register int l,register int r)\r\n{\r\n\tif(!o)\r\n\t\to=++cnt;\r\n\tif(l==r)\r\n\t{\r\n\t\tsmv[o]=MV;\r\n\t\treturn;\r\n\t}\r\n\tregister int mid=(l+r)&gt;&gt;1;\r\n\tif(MP &lt;= mid)\r\n\t\tModifyTree(lson[o],l,mid);\r\n\telse\r\n\t\tModifyTree(rson[o],mid+1,r);\r\n\tsmv[o]=smv[lson[o]]+smv[rson[o]];\r\n}\r\n\r\nint QL,QR;\r\nlong long _Qret;\r\nvoid QueryTree(register int o,register int l,register int r)\r\n{\r\n\tif(!o)\r\n\t\treturn;\r\n\tif(QL&lt;=l &amp;&amp; QR&gt;=r)\r\n\t{\r\n\t\t_Qret+=smv[o];\r\n\t\treturn;\r\n\t}\r\n\tregister int mid=(l+r)&gt;&gt;1;\r\n\tif(QL &lt;= mid)\r\n\t\tQueryTree(lson[o],l,mid);\r\n\tif(QR &gt; mid)\r\n\t\tQueryTree(rson[o],mid+1,r);\r\n}\r\n\r\nint N;\r\n#define _lowbit(_x) ((_x)&amp;-(_x))\r\ninline void ModifyFTree(register int o)\r\n{\r\n\t\/\/printf(\"modify %d, %d from %d to %d\\n\",o,MP,a[MP],MV);\r\n\to++;\r\n\twhile(o &lt;= N)\r\n\t{\r\n\t\tModifyTree(root[o],1,N);\r\n\t\to+=_lowbit(o);\r\n\t}\r\n}\r\n\r\ninline long long QueryFTree(register int o)\r\n{\r\n\t\/\/printf(\"query %d, [%d, %d]\\n\",o,QL,QR);\r\n\t_Qret=0,o++;\r\n\twhile(o)\r\n\t{\r\n\t\tQueryTree(root[o],1,N);\r\n\t\to-=_lowbit(o);\r\n\t}\r\n\treturn _Qret;\r\n}\r\n\r\ntypedef __gnu_pbds::tree&lt;int,__gnu_pbds::null_type&gt; _t;\r\ntypedef _t::point_iterator _it;\r\n_t pos[200005];\r\n\r\nbool opt[105050];\r\nint qx[105050],qy[105050];\r\n\r\nint main()\r\n{\r\n\tregister int N=getnum();\r\n\t::N=N;\r\n\tfor(register int i=1;i&lt;=N;i++)\r\n\t\tval[++lv]=a[i]=getnum();\r\n\tregister int M=getnum();\r\n\tfor(register int i=1;i&lt;=M;i++)\r\n\t{\r\n\t\topt[i]=getnum(),qx[i]=getnum(),qy[i]=getnum();\r\n\t\tif(opt[i] == 0)\r\n\t\t\tval[++lv]=qy[i];\r\n\t}\r\n\tstd::sort(&amp;val[1],&amp;val[lv+1]);\r\n\tlv=std::unique(&amp;val[1],&amp;val[lv+1])-&amp;val[0];\r\n\t\r\n\tfor(register int i=1,t;i&lt;=N;i++)\r\n\t{\r\n\t\t_it it=pos[t=GetValMap(a[i])].insert(i).first;\r\n\t\tpre[i]=(it==pos[t].begin() ? 0 : *(--it));\r\n\t\tMP=i,MV=a[i],ModifyFTree(pre[i]);\r\n\t}\r\n\t\r\n\tfor(register int i=1,t;i&lt;=M;i++)\r\n\t\tif(opt[i] == 0)\r\n\t\t{\r\n\t\t\tregister int x=qx[i],y=qy[i];\r\n\t\t\t\r\n\t\t\t_it nit=pos[t=GetValMap(a[x])].find(x),pit=nit++,it=pit--;\r\n\t\t\tif(nit != pos[t].end())\r\n\t\t\t{\r\n\t\t\t\tMP=*nit,MV=0,ModifyFTree(pre[*nit]);\r\n\t\t\t\tpre[*nit]=(it==pos[t].begin() ? 0 : *pit);\r\n\t\t\t\tMP=*nit,MV=a[*nit],ModifyFTree(pre[*nit]);\r\n\t\t\t}\r\n\t\t\tpos[t].erase(it);\r\n\t\t\t\r\n\t\t\ta[x]=y;\r\n\t\t\tnit=pos[t=GetValMap(a[x])].insert(x).first,pit=nit++,it=pit--;\r\n\t\t\tif(nit != pos[t].end())\r\n\t\t\t{\r\n\t\t\t\tMP=*nit,MV=0,ModifyFTree(pre[*nit]);\r\n\t\t\t\tpre[*nit]=*it;\r\n\t\t\t\tMP=*nit,MV=a[*nit],ModifyFTree(pre[*nit]);\r\n\t\t\t}\r\n\t\t\t\r\n\t\t\tMP=x,MV=0,ModifyFTree(pre[x]);\r\n\t\t\tpre[x]=(it==pos[t].begin() ? 0 : *pit);\r\n\t\t\tMP=x,MV=a[x],ModifyFTree(pre[x]);\r\n\t\t}\r\n\t\telse\r\n\t\t\tQL=qx[i],QR=qy[i],printf(\"%lld\\n\",QueryFTree(qx[i]-1));\r\n\t\r\n\treturn 0;\r\n}<\/pre>\n<p>&nbsp;<\/p>\n<p>&nbsp;<\/p>\n","protected":false},"excerpt":{"rendered":"<p>YZOJ P3942 gss2\u52a0\u5f3a\u7248 \u65f6\u95f4\u9650\u5236\uff1a2000MS \u00a0\u00a0\u00a0\u00a0 \u5185\u5b58\u9650\u5236\uff1a524288KB \u96be\u5ea6\uff1a \u9898 &hellip; <a href=\"https:\/\/0.mnihyc.com\/blog\/archives\/1228\" class=\"more-link\">\u7ee7\u7eed\u9605\u8bfb<span class=\"screen-reader-text\">YZOJ P3942 gss2\u52a0\u5f3a\u7248<\/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":[37,71,46],"tags":[],"class_list":["post-1228","post","type-post","status-publish","format-standard","hentry","category-crazya","category-balancedtree","category-segtree"],"yoast_head":"<!-- This site is optimized with the Yoast SEO plugin v27.1.1 - https:\/\/yoast.com\/product\/yoast-seo-wordpress\/ -->\n<title>YZOJ P3942 gss2\u52a0\u5f3a\u7248 - mnihyc&#039;s Blog<\/title>\n<meta name=\"description\" content=\"YZOJ P3942 gss2\u52a0\u5f3a\u7248 \u65f6\u95f4\u9650\u5236\uff1a2000MS \u00a0\u00a0\u00a0\u00a0 \u5185\u5b58\u9650\u5236\uff1a524288KB \u96be\u5ea6\uff1a \u9898\u76ee\u63cf\u8ff0 \u7ed9\u4f60 (n) \u4e2a\u6570\uff0c\u4f60\u9700\u8981\u652f\u6301\u4e00\u4e0b\u4e24\u79cd\u64cd\u4f5c\u3002 U x y\uff1a\u5c06\u7b2c (x) \u4e2a\u6570\u4fee\u6539\u6210 (y) \uff1b Q 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