{"id":827,"date":"2019-01-30T11:52:15","date_gmt":"2019-01-30T03:52:15","guid":{"rendered":"https:\/\/cf.mnihyc.com\/blog\/?p=827"},"modified":"2020-04-22T11:42:14","modified_gmt":"2020-04-22T03:42:14","slug":"yzoj-p2319-%e5%ae%87%e5%ae%99%e5%9b%be%e4%b9%a6%e9%a6%86","status":"publish","type":"post","link":"https:\/\/cf.mnihyc.com\/blog\/archives\/827","title":{"rendered":"YZOJ P2319 \u5b87\u5b99\u56fe\u4e66\u9986"},"content":{"rendered":"<h1 style=\"text-align: center;\">YZOJ P2319 \u5b87\u5b99\u56fe\u4e66\u9986<\/h1>\n<p style=\"text-align: center;\">\u65f6\u95f4\u9650\u5236\uff1a1000MS \u00a0\u00a0\u00a0\u00a0 \u5185\u5b58\u9650\u5236\uff1a131072KB<\/p>\n<p style=\"text-align: center;\">\u96be\u5ea6\uff1a <span style=\"color: #00ff00;\">\\(3.4\\)<\/span><\/p>\n<ul>\n<li>\n<h3><strong>\u9898\u76ee\u63cf\u8ff0<\/strong><\/h3>\n<\/li>\n<\/ul>\n<p>\u5b87\u5b99\u56fe\u4e66\u9986\uff08Universal Library\uff09\u662f\u4e00\u4e2a\u89c4\u6a21\u5de8\u5927\u7684\u56fe\u4e66\u9986\uff0c\u8be5\u56fe\u4e66\u9986\u6536\u96c6\u5404\u4e2a\u661f\u7403\u51fa\u7248\u7684\u5927\u91cf\u7cfb\u5217\u56fe\u4e66\u3002\u4e3a\u4e86\u7edf\u4e00\u65f6\u95f4\uff0c\u5b87\u5b99\u56fe\u4e66\u9986\u7684\u6bcf\u672c\u4e66\u7684\u51fa\u7248\u5e74\u4efd\u4ee5 \u201c\u5b87\u5b99\u5e74\u201d \u4e3a\u5355\u4f4d\u6765\u8bb0\u5f55\u3002\u5f53\u7136\uff0c\u5c3d\u7ba1\u56fe\u4e66\u9986\u53ef\u4ee5\u5b58\u975e\u5e38\u591a\u7684\u4e66\uff0c\u4f46\u4e66\u4e0d\u80fd\u65e0\u4f11\u6b62\u5730\u589e\u52a0\uff0c\u56e0\u6b64\u7ba1\u7406\u5458\u4f1a\u5b9a\u671f\u5254\u9664\u51fa\u7248\u5e74\u4efd\u5c0f\u4e8e\u67d0\u4e2a\u6570\u7684\u6240\u6709\u4e66\u3002<\/p>\n<p>\u7531\u4e8e\u4e66\u7684\u6570\u91cf\u591a\uff0c\u65e0\u6cd5\u624b\u5de5\u7edf\u8ba1\uff0c\u4f60\u9700\u8981\u7f16\u5199\u4e00\u4e2a\u56fe\u4e66\u7ba1\u7406\u7cfb\u7edf\uff0c\u6765\u7ba1\u7406\u5b87\u5b99\u56fe\u4e66\u9986\u7684\u56fe\u4e66\u8bb0\u5f55\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\\)\uff0c\u4e3a\u8be5\u7cfb\u7edf\u8bbe\u5b9a\u7684\u51fa\u7248\u5e74\u4efd\u4e0a\u9650\uff08\u5355\u4f4d\uff1a\u5b87\u5b99\u5e74\uff0c\u4e4b\u540e\u6d89\u53ca\u7684\u6240\u6709\u51fa\u7248\u5e74\u4efd\u5747\u4e3a \\(1\\) \u5230 \\(N\\) \u4e4b\u95f4\u7684\u6b63\u6574\u6570\u3002<\/p>\n<p>\u4e4b\u540e\uff0c\u6bcf\u884c\u4e00\u4e2a\u5408\u6cd5\u7684\u547d\u4ee4\uff0c\u547d\u4ee4\u6709\u4ee5\u4e0b\u4e94\u79cd\uff1a<\/p>\n<p><code>Add t x<\/code>\uff1a\u6dfb\u52a0\u4e00\u5957\u5171 \\(x\\) \u672c\u4e66\uff08\\(x\\) \u4e3a\u6b63\u6574\u6570\uff09\uff0c\u8fd9\u4e00\u5957\u4e66\u7684\u51fa\u7248\u5e74\u4efd\u5747\u4e3a \\(t\\)\uff08\u5355\u4f4d\uff1a\u5b87\u5b99\u5e74\uff09\uff1b<\/p>\n<p><code>Remove t<\/code>\uff1a\u5220\u9664\u6240\u6709\u51fa\u7248\u5e74\u4efd\u5c0f\u4e8e \\(t\\) \uff08\u5355\u4f4d\uff1a\u5b87\u5b99\u5e74\uff09\u7684\u4e66\uff0c\u5e76\u8f93\u51fa\u88ab\u5220\u9664\u7684\u4e66\u7684\u6570\u91cf\uff1b<\/p>\n<p><code>Count a b<\/code>\uff1a\u7edf\u8ba1\u51fa\u7248\u5e74\u4efd\uff08\u5355\u4f4d\uff1a\u5b87\u5b99\u5e74\uff09\u5728 \\(a, b\\) \u4e4b\u95f4\uff08\u542b \\(a, b\\)\uff0c\u4fdd\u8bc1 \\(a \\leq b\\) \uff09\u7684\u4e66\u7684\u6570\u91cf\uff0c\u5e76\u8f93\u51fa\uff1b<\/p>\n<p><code>List x<\/code>\uff1a\u5c06\u6240\u6709\u4e66\u6309\u51fa\u7248\u5e74\u4efd<strong>\u4ece\u5927\u5230\u5c0f<\/strong>\uff08\u4e5f\u5c31\u662f\u4ece\u65b0\u5230\u65e7\uff09\u987a\u5e8f\u5217\u51fa\uff0c\u4f46\u7531\u4e8e\u8f93\u51fa\u53ef\u80fd\u8f83\u591a\uff0c\u8fd9\u91cc\u53ea\u8981\u6c42\u8f93\u51fa\u5217\u8868\u4e2d\u7ed9\u5b9a\u7684<strong>\u7b2c \\(x\\) \u672c\u4e66<\/strong>\u7684\u51fa\u7248\u5e74\u4efd\uff08\u5982\u679c\u4e0d\u5b58\u5728\uff0c\u8f93\u51fa <code>No<\/code>\uff09\uff1b<\/p>\n<p><code>Quit<\/code>\uff1a\u9000\u51fa\u7cfb\u7edf\uff0c\u7ed3\u675f\u7a0b\u5e8f\u3002<\/p>\n<ul>\n<li>\n<h3><strong>\u8f93\u51fa\u683c\u5f0f<\/strong><\/h3>\n<\/li>\n<\/ul>\n<p>\u5bf9\u6bcf\u4e2a <code>Remove\u3001Count\u3001List<\/code> \u547d\u4ee4\uff0c\u8f93\u51fa\u4e00\u884c\u7b54\u6848\u3002<\/p>\n<p><!--more--><\/p>\n<ul>\n<li>\n<h3><strong>\u6837\u4f8b\u8f93\u5165<\/strong><\/h3>\n<\/li>\n<\/ul>\n<pre class=\"\">15\r\nAdd 10 3\r\nAdd 8 2\r\nAdd 9 1\r\nCount 9 10\r\nCount 8 10\r\nList 3\r\nList 1\r\nList 4\r\nRemove 8\r\nList 5\r\nList 6\r\nCount 8 9\r\nRemove 9\r\nList 5\r\nCount 8 9\r\nAdd 1 20\r\nAdd 15 13\r\nAdd 15 14\r\nCount 1 15\r\nCount 2 15\r\nList 18\r\nQuit<\/pre>\n<ul>\n<li>\n<h3><strong>\u6837\u4f8b\u8f93\u51fa<\/strong><\/h3>\n<\/li>\n<\/ul>\n<pre class=\"\">4\r\n6\r\n10\r\n10\r\n9\r\n0\r\n8\r\n8\r\n3\r\n2\r\nNo\r\n1\r\n51\r\n31\r\n15<\/pre>\n<ul>\n<li>\n<h3><strong>\u6570\u636e\u89c4\u6a21\u4e0e\u7ea6\u5b9a<\/strong><\/h3>\n<\/li>\n<\/ul>\n<p><del>\u6c34\u9898\uff0c\u8be6\u7ec6\u7684\u8303\u56f4\u5c31\u4e0d\u8d34\u4e86<\/del><\/p>\n<p>\u4fdd\u8bc1 \\(1 \\leq N, \\) \u603b\u64cd\u4f5c\u6b21\u6570 \\( \\leq 100,000\\) \uff0c\u8ba1\u7b97\u8fc7\u7a0b\u4e2d\u51fa\u73b0\u7684\u6570\u4fdd\u8bc1\u4e0d\u8d85\u8fc7 \\(10^9\\) \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>\u7ebf\u6bb5\u6811\u88f8\u9898\uff1f<\/p>\n<p>\u6ca1\u9519\u5c31\u662f\u7ebf\u6bb5\u6811\u88f8\u9898\uff0c\u4e0d\u77e5\u9053\u4e3a\u4ec0\u4e48\u6211\u8003\u573a\u4e0a\u5199\u4e86\u4e2a \\(O(Nlog^2N)\\) \u7684\u3002\u3002\u3002\u3002<\/p>\n<p>\u628a\u5e74\u4efd\u62ff\u53bb\u5f00\u4e00\u68f5\u7ebf\u6bb5\u6811\uff0c<code>Add<\/code> \u5c31\u662f\u5355\u70b9\u4fee\u6539\uff0c<code>Remove<\/code> \u5c31\u662f\u533a\u95f4\u4fee\u6539\uff0c<code>Count<\/code> \u5c31\u662f\u533a\u95f4\u67e5\u8be2\uff0c\u5c31\u662f\u8fd9\u4e2a <code>List<\/code> \u6709\u70b9\u4e1c\u897f\u3002<\/p>\n<p>\u8003\u8651\u4e00\u4e0b\u600e\u4e48\u6c42\u7ebf\u6bb5\u6811\u4e2d\u7b2c \\(k\\) \u672c\u4e66\u7684\u4f4d\u7f6e\u3002<\/p>\n<p><img loading=\"lazy\" decoding=\"async\" class=\"alignnone size-full wp-image-830\" src=\"https:\/\/cf.mnihyc.com\/blog\/wp-content\/uploads\/2019\/01\/\u65e0\u6807\u9898.png\" alt=\"\" width=\"321\" height=\"356\" srcset=\"https:\/\/cf.mnihyc.com\/blog\/wp-content\/uploads\/2019\/01\/\u65e0\u6807\u9898.png 321w, https:\/\/cf.mnihyc.com\/blog\/wp-content\/uploads\/2019\/01\/\u65e0\u6807\u9898-271x300.png 271w\" sizes=\"auto, (max-width: 321px) 100vw, 321px\" \/><\/p>\n<p>\u9996\u5148\u8003\u8651\u8fd9\u6837\u4e00\u4e2a\u7ebf\u6bb5\u6811\uff0cF \u4e3a\u7236\u8282\u70b9\uff0cLs\u3001Rs \u5206\u522b\u4e3a\u5de6\u53f3\u5b50\u8282\u70b9\u3002<\/p>\n<p>\u56e0\u4e3a\u662f\u7ebf\u6bb5\u6811\uff0c\u6240\u4ee5\u8003\u8651\u9012\u5f52\u67e5\u627e\u5bf9\u4e8e\u7236\u8282\u70b9\u6765\u8bf4\u7b2c \\(k\\) \u672c\u4e66\u7684\u4f4d\u7f6e\u3002<\/p>\n<p>\u5f88\u663e\u7136\u6709\u4e0b\u9762\u4e24\u79cd\u60c5\u51b5\uff1a<\/p>\n<p style=\"padding-left: 30px;\">\u5982\u679c\u5de6\u5b50\u8282\u70b9\u4e2d\uff0c\u4e66\u7684\u6570\u91cf\u4e0d\u6bd4 \\(k\\) \u5c0f\uff0c\u90a3\u4e48\u7b2c \\(k\\) \u672c\u4e66\u4e00\u5b9a\u5728\u5de6\u5b50\u8282\u70b9\u4e2d\uff0c\u5e76\u4e14\u5bf9\u4e8e\u5de6\u5b50\u8282\u70b9\u6765\u8bf4\u8981\u67e5\u627e\u7684\u4e5f\u662f\u7b2c \\(k\\) \u672c\u4e66\u3002<\/p>\n<p style=\"padding-left: 30px;\">\u5982\u679c\u5de6\u5b50\u8282\u70b9\u4e2d\uff0c\u4e66\u7684\u6570\u91cf\u6bd4 \\(k\\) \u5c0f\uff0c\u90a3\u4e48\u7b2c \\(k\\) \u672c\u4e66\u4e00\u5b9a\u5728\u53f3\u5b50\u8282\u70b9\u4e2d\uff0c\u4f46\u662f\u5bf9\u4e8e\u53f3\u5b50\u8282\u70b9\u6765\u8bf4\u8981\u67e5\u627e\u7684\u5c31\u53d8\u4e3a\u7b2c \\(k &#8211; sum_{Ls}\\) \u672c\u4e66\u4e86\uff08\\(sum_{Ls}\\) \u8868\u793a\u5de6\u5b50\u8282\u70b9\u4e66\u7684\u6570\u91cf\uff09\u3002<\/p>\n<p>\u8981\u662f \\(k\\) \u6bd4\u5f53\u524d\u6240\u6709\u4e66\u603b\u91cf\u8fd8\u591a\uff0c\u90a3\u5c31\u662f<code> No<\/code> \u4e86\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;algorithm&gt;\r\n#include &lt;functional&gt;\r\n\r\ninline int getnum()\r\n{\r\n\tregister char c=getchar();\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\ninline char getchr()\r\n{\r\n\tregister char c=getchar();\r\n\twhile(!(c&gt;='A' &amp;&amp; c&lt;='Z'))\r\n\t\tc=getchar();\r\n\treturn c;\r\n}\r\n\r\nint sum[105050&lt;&lt;2];\r\nbool tag[105050&lt;&lt;2];\r\n#define Ls(o) (o&lt;&lt;1)\r\n#define Rs(o) (o&lt;&lt;1|1)\r\n\r\ninline void PushDownTree(register int O)\r\n{\r\n\tif(!tag[O])\r\n\t\treturn;\r\n\ttag[O]=false;\r\n\ttag[Ls(O)]=tag[Rs(O)]=true;\r\n\tsum[Ls(O)]=sum[Rs(O)]=0;\r\n}\r\n\r\ninline void PushUpTree(register int O)\r\n{\r\n\tsum[O]=sum[Ls(O)]+sum[Rs(O)];\r\n}\r\n\r\nint QL,QR;\r\nint QueryTree(register int O,register int L,register int R)\r\n{\r\n\tif(QL&lt;=L &amp;&amp; QR&gt;=R)\r\n\t\treturn sum[O];\r\n\tPushDownTree(O);\r\n\tregister int mid=(L+R)&gt;&gt;1,ans=0;\r\n\tif(QL&lt;=mid)\r\n\t\tans+=QueryTree(Ls(O),L,mid);\r\n\tif(mid&lt;QR)\r\n\t\tans+=QueryTree(Rs(O),mid+1,R);\r\n\treturn ans;\r\n}\r\n\r\nint MP,MV;\r\nvoid ModifyTreeNode(register int O,register int L,register int R)\r\n{\r\n\tif(L==R)\r\n\t{\r\n\t\tsum[O]+=MV;\r\n\t\treturn;\r\n\t}\r\n\tPushDownTree(O);\r\n\tregister int mid=(L+R)&gt;&gt;1;\r\n\tif(MP&lt;=mid)\r\n\t\tModifyTreeNode(Ls(O),L,mid);\r\n\telse\r\n\t\tModifyTreeNode(Rs(O),mid+1,R);\r\n\tPushUpTree(O);\r\n}\r\n\r\nint ML,MR;\r\nvoid ModifyTreeSegment(register int O,register int L,register int R)\r\n{\r\n\tif(ML&lt;=L &amp;&amp; MR&gt;=R)\r\n\t{\r\n\t\ttag[O]=true,sum[O]=0;\r\n\t\treturn;\r\n\t}\r\n\tPushDownTree(O);\r\n\tregister int mid=(L+R)&gt;&gt;1;\r\n\tif(ML&lt;=mid)\r\n\t\tModifyTreeSegment(Ls(O),L,mid);\r\n\tif(mid&lt;MR)\r\n\t\tModifyTreeSegment(Rs(O),mid+1,R);\r\n\tPushUpTree(O);\r\n}\r\n\r\nvoid SearchTree(register int O,register int L,register int R,register int kth)\r\n{\r\n\tif(L==R)\r\n\t{\r\n\t\tprintf(\"%d\\n\",L);\r\n\t\treturn;\r\n\t}\r\n\tPushDownTree(O);\r\n\tregister int mid=(L+R)&gt;&gt;1;\r\n\tif(sum[Rs(O)]&gt;=kth)\r\n\t\tSearchTree(Rs(O),mid+1,R,kth);\r\n\telse\r\n\t\tSearchTree(Ls(O),L,mid,kth-sum[Rs(O)]);\r\n}\r\n\r\nint main()\r\n{\r\n\tregister int N=getnum();\r\n\twhile(1)\r\n\t{\r\n\t\tchar c=getchr();\r\n\t\tif(c=='Q')\r\n\t\t\tbreak;\r\n\t\telse if(c=='A')\r\n\t\t{\r\n\t\t\tMP=getnum(),MV=getnum();\r\n\t\t\tModifyTreeNode(1,1,N);\r\n\t\t}\r\n\t\telse if(c=='R')\r\n\t\t{\r\n\t\t\tML=1,MR=getnum()-1;\r\n\t\t\tQL=ML,QR=MR;\r\n\t\t\tif(QL&lt;=QR)\r\n\t\t\t{\r\n\t\t\t\tprintf(\"%d\\n\",QueryTree(1,1,N));\r\n\t\t\t\tModifyTreeSegment(1,1,N);\r\n\t\t\t}\r\n\t\t\telse\r\n\t\t\t\tprintf(\"0\\n\");\r\n\t\t}\r\n\t\telse if(c=='C')\r\n\t\t{\r\n\t\t\tQL=getnum(),QR=getnum();\r\n\t\t\tprintf(\"%d\\n\",QueryTree(1,1,N));\r\n\t\t}\r\n\t\telse if(c=='L')\r\n\t\t{\r\n\t\t\tregister int x=getnum();\r\n\t\t\tif(x&gt;sum[1])\r\n\t\t\t\tprintf(\"No\\n\");\r\n\t\t\telse\r\n\t\t\t\tSearchTree(1,1,N,x);\r\n\t\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 P2319 \u5b87\u5b99\u56fe\u4e66\u9986 \u65f6\u95f4\u9650\u5236\uff1a1000MS \u00a0\u00a0\u00a0\u00a0 \u5185\u5b58\u9650\u5236\uff1a131072KB \u96be\u5ea6\uff1a \u9898\u76ee\u63cf &hellip; <a href=\"https:\/\/cf.mnihyc.com\/blog\/archives\/827\" class=\"more-link\">\u7ee7\u7eed\u9605\u8bfb<span class=\"screen-reader-text\">YZOJ P2319 \u5b87\u5b99\u56fe\u4e66\u9986<\/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":[35,46],"tags":[],"class_list":["post-827","post","type-post","status-publish","format-standard","hentry","category-easya","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 P2319 \u5b87\u5b99\u56fe\u4e66\u9986 - mnihyc&#039;s Blog<\/title>\n<meta name=\"description\" content=\"YZOJ P2319 \u5b87\u5b99\u56fe\u4e66\u9986 \u65f6\u95f4\u9650\u5236\uff1a1000MS \u00a0\u00a0\u00a0\u00a0 \u5185\u5b58\u9650\u5236\uff1a131072KB \u96be\u5ea6\uff1a \u9898\u76ee\u63cf\u8ff0 \u5b87\u5b99\u56fe\u4e66\u9986\uff08Universal Library\uff09\u662f\u4e00\u4e2a\u89c4\u6a21\u5de8\u5927\u7684\u56fe\u4e66\u9986\uff0c\u8be5\u56fe\u4e66\u9986\u6536\u96c6\u5404\u4e2a\u661f\u7403\u51fa\u7248\u7684\u5927\u91cf\u7cfb\u5217\u56fe\u4e66\u3002\u4e3a\u4e86\u7edf\u4e00\u65f6\u95f4\uff0c\u5b87\u5b99\u56fe\u4e66\u9986\u7684\u6bcf\u672c\u4e66\u7684\u51fa\u7248\u5e74\u4efd\u4ee5 \u201c\u5b87\u5b99\u5e74\u201d\" \/>\n<meta name=\"robots\" content=\"index, follow, max-snippet:-1, max-image-preview:large, max-video-preview:-1\" \/>\n<link rel=\"canonical\" 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