{"id":1054,"date":"2019-03-23T17:43:02","date_gmt":"2019-03-23T09:43:02","guid":{"rendered":"https:\/\/mnihyc.com\/blog\/?p=1054"},"modified":"2020-02-09T02:58:42","modified_gmt":"2020-02-08T18:58:42","slug":"yzoj-p3791-%e9%a4%90%e9%a6%86","status":"publish","type":"post","link":"https:\/\/mnihyc.com\/blog\/archives\/1054","title":{"rendered":"YZOJ P3791 \u9910\u9986"},"content":{"rendered":"<h1 style=\"text-align: center;\">YZOJ P3791 \u9910\u9986<\/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: #ff9900;\">\\(6.0\\)<\/span><\/p>\n<ul>\n<li>\n<h3><strong>\u9898\u76ee\u63cf\u8ff0<\/strong><\/h3>\n<\/li>\n<\/ul>\n<p>\u5728\u4e00\u6761\u4e1c\u897f\u5411\u7684\u8857\u9053\u4e0a\u6709 \\(n\\) \u4e2a\u9910\u9986\uff0c\u4ece\u897f\u5411\u4e1c\u7f16\u53f7\u4e3a \\(1\\) \u81f3 \\(n\\)\uff0c\u7b2c \\(i\\) \u4e2a\u9910\u9986\u548c\u7b2c \\(i+1\\) \u4e2a\u9910\u9986\u7684\u8ddd\u79bb\u4e3a \\(a_i\\) \u3002<\/p>\n<p>\u5403\u8d27\u5c0fW\u559c\u6b22\u5230\u8fd9\u6761\u8857\u9053\u7684\u9910\u9986\u91cc\u5403\u996d\u3002\u73b0\u5728\uff0c\u5c0fW\u5f97\u5230\u4e86 \\(m\\) \u5f20\u9910\u7968\uff0c\u6bcf\u5f20\u9910\u7968\u53ef\u4ee5\u7528\u4e8e\u5728\u8857\u9053\u4e0a\u7684\u4efb\u4e00\u9910\u9986\u91cc\u5403\u4e00\u9910\u3002\u5728\u7b2c \\(i\\) \u4e2a\u9910\u9986\u4e2d\uff0c\u4f7f\u7528\u7b2c \\(j\\) \u5f20\u9910\u7968\u5403\u996d\uff0c\u53ef\u4ee5\u83b7\u5f97\u7684\u7f8e\u5473\u5ea6\u4e3a \\(b_{i,j}\\) \u3002\u6ce8\u610f\uff0c\u6bcf\u5f20\u9910\u7968\u6700\u591a\u7528\u4e00\u6b21\uff0c\u4f46\u5728\u540c\u4e00\u9910\u9986\u5185\u53ef\u4ee5\u4f7f\u7528\u4efb\u610f\u591a\u5f20\u9910\u7968\u3002<\/p>\n<p>\u5c0fW\u6253\u7b97\u7528\u5b8c\u8fd9 \\(m\\) \u5f20\u9910\u7968\u3002\u4ed6\u53ef\u4ee5\u9009\u62e9\u4efb\u4e00\u9910\u9986\u4f5c\u4e3a\u8d77\u70b9\uff0c\u6bcf\u6b21\u5403\u996d\u65f6\uff0c\u53ef\u4ee5\u9009\u62e9\u4e00\u4e2a\u9910\u9986\uff0c\u7136\u540e\u4ece\u5f53\u524d\u4f4d\u7f6e\uff08\u4e0a\u6b21\u5403\u996d\u7684\u5730\u70b9\uff0c\u5982\u679c\u4e0d\u5b58\u5728\u5219\u4e3a\u8d77\u70b9\uff09\u51fa\u53d1\u524d\u5f80\u8be5\u9910\u9986\u5e76\u7528\u4efb\u610f\u4e00\u5f20\u672a\u7528\u8fc7\u7684\u9910\u7968\u5403\u4e00\u9910\uff0c\u76f4\u5230\u5403\u5b8c \\(m\\) \u9910\u4e3a\u6b62\u3002\u5c0fW\u5e0c\u671b<strong>\u6700\u5927\u5316<\/strong>\u6bcf\u6b21\u5403\u996d\u7684<strong>\u7f8e\u5473\u5ea6\u4e4b\u548c<span style=\"text-decoration: underline;\">\u51cf\u53bb<\/span><\/strong>\u8def\u4e0a\u7ecf\u8fc7\u7684<strong>\u603b\u8def\u7a0b<\/strong>\u7684\u503c\u3002<\/p>\n<ul>\n<li>\n<h3><strong>\u8f93\u5165\u683c\u5f0f<\/strong><\/h3>\n<\/li>\n<\/ul>\n<p>\u8f93\u5165\u7b2c\u4e00\u884c\u5305\u542b\u4e24\u4e2a\u6b63\u6574\u6570 \\(n,m\\) \u3002<\/p>\n<p>\u7b2c\u4e8c\u884c\u5305\u542b \\(n-1\\) \u4e2a\u6b63\u6574\u6570 \\(a_1,a_2,\\cdots,a_{n-1}\\) \u3002<\/p>\n<p>\u63a5\u4e0b\u6765 \\(n\\) \u884c\uff0c\u6bcf\u884c\u5305\u542b \\(m\\) \u4e2a\u6b63\u6574\u6570\uff0c\u5176\u4e2d\u7b2c \\(i\\) \u884c\u7b2c \\(j\\) \u4e2a\u6570\u4e3a \\(b_{i,j}\\) \u3002<\/p>\n<ul>\n<li>\n<h3><strong>\u8f93\u51fa\u683c\u5f0f<\/strong><\/h3>\n<\/li>\n<\/ul>\n<p>\u8f93\u51fa\u4e00\u884c\u4e00\u4e2a\u6574\u6570\uff0c\u8868\u793a\u6240\u6c42\u7684\u6700\u5927\u503c\u3002<\/p>\n<ul>\n<li>\n<h3><strong>\u6837\u4f8b\u8f93\u5165<\/strong><\/h3>\n<\/li>\n<\/ul>\n<pre class=\"\">3 4\r\n1 4\r\n2 2 5 1\r\n1 3 3 2\r\n2 2 5 1<\/pre>\n<ul>\n<li>\n<h3><strong>\u6837\u4f8b\u8f93\u51fa<\/strong><\/h3>\n<\/li>\n<\/ul>\n<pre class=\"\">11<\/pre>\n<ul>\n<li>\n<h3><strong>\u6837\u4f8b\u8bf4\u660e<\/strong><\/h3>\n<\/li>\n<\/ul>\n<p>\u6700\u4f18\u65b9\u6848\u5982\u4e0b\uff1a\u4ee5\u9910\u9986 \\(1\\) \u4e3a\u8d77\u70b9\uff0c\u5728\u9910\u9986 \\(1\\) \u4f7f\u7528\u7b2c \\(1\\) \u5f20\u9910\u7968\u3001\u7b2c \\(3\\) \u5f20\u9910\u7968\uff0c\u7136\u540e\u524d\u5f80\u9910\u9986 \\(2\\) \u4f7f\u7528\u7b2c \\(2\\) \u5f20\u9910\u7968\u3001\u7b2c \\(4\\) \u5f20\u9910\u7968\u3002<\/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\u6240\u6709\u6570\u636e\uff0c\\(nm \\leq 10^6\\)\uff0c\\(n \\geq 2\\)\uff0c\\(a_i, b_{i, j} \\leq 10^9\\) \u3002<\/p>\n<p><img loading=\"lazy\" decoding=\"async\" class=\"alignnone size-full wp-image-1057\" src=\"https:\/\/mnihyc.com\/blog\/wp-content\/uploads\/2019\/03\/3791.png\" alt=\"\" width=\"691\" height=\"754\" srcset=\"https:\/\/mnihyc.com\/blog\/wp-content\/uploads\/2019\/03\/3791.png 691w, https:\/\/mnihyc.com\/blog\/wp-content\/uploads\/2019\/03\/3791-275x300.png 275w\" sizes=\"auto, (max-width: 691px) 100vw, 691px\" \/><\/p>\n<p>&nbsp;<\/p>\n<p>&nbsp;<\/p>\n<p>&nbsp;<\/p>\n<p>Source\uff1a<a href=\"https:\/\/arc067.contest.atcoder.jp\/tasks\/arc067_d\">ARC067 F &#8211; Yakiniku Restaurants<\/a>\uff0c\u6570\u636e\u8303\u56f4\u6709\u6539\u52a8\uff08\u52a0\u5f3a\uff09<\/p>\n<p><!--more--><\/p>\n<hr \/>\n<p>&nbsp;<\/p>\n<p>&nbsp;<\/p>\n<p>&nbsp;<\/p>\n<p>\u6ce8\u610f\u5230\uff08\u5f88\u663e\u7136\u7206\u96f6\u7684\u6211\u6ca1\u6709\u6ce8\u610f\u5230\uff09\u6700\u4f18\u89e3\u80af\u5b9a\u662f\u5728\u4e00\u6bb5\u533a\u95f4\u5185\uff0c\u6240\u4ee5\u6709<\/p>\n<p><span style=\"font-size: 24px;\">\\(f_{l, r}=\\sum\\limits_{j=1}^m{\\max\\limits_{i=l}^r{b_{i, j}}} &#8211; \\sum\\limits_{i=l}^{r-1}a_i\\)<\/span><\/p>\n<p>\u76f4\u63a5 \\(O(n^2)\\) \u679a\u4e3e \\((l, r)\\) \uff0c RMQ \\(O(m)\\) \u8f6c\u79fb\uff0c\u66b4\u529b\u603b\u590d\u6742\u5ea6 \\(O(n^2m)\\) \u3002<\/p>\n<p>\u8003\u8651\u4f18\u5316\uff0c\u8fd9\u91cc\u6709\u4e24\u79cd\u529e\u6cd5\uff1a<\/p>\n<p>\u6cd51\uff0c\u8f6c\u6362\u95ee\u9898\uff0c\u5bf9\u4e8e\u6bcf\u4e2a \\((l, r)\\) \u533a\u95f4\u5bfb\u627e\u6700\u4f18\u7684 \\(b_{i, j}\\) \u8f6c\u5316\u4e3a <strong>\u5bf9\u4e8e\u6bcf\u4e2a \\(b_{i, j}\\) \u5bfb\u627e\u5b83\u80fd\u8d21\u732e\u7684 \\((l, r)\\) \u533a\u95f4<\/strong>\u3002\u5bf9\u4e8e\u4e00\u4e2a \\(b_{i, j}\\) \uff0c\u5f88\u660e\u663e\u5b83\u80fd\u8d21\u732e\u7684\u533a\u95f4\u4e3a \\((\\)\u5b83\u5de6\u8fb9\u7b2c\u4e00\u4e2a<strong>\u4e0d\u6bd4\u5b83\u5c0f<\/strong>\u7684\u6570\\(,\\)\u5b83\u53f3\u8fb9\u7b2c\u4e00\u4e2a<strong>\u6bd4\u5b83\u5927<\/strong>\u7684\u6570\\()\\) \uff08\u65e2\u4e0d\u91cd\u590d\u4e5f\u4e0d\u6f0f\u7b97\uff09\uff0c\u8fd9\u4e2a\u8fc7\u7a0b\u53ef\u4ee5\u7528<del>\u7b1b\u5361\u5c14\u6811\u7ef4\u62a4<\/del>\uff08\u6211\u4e5f\u4e0d\u77e5\u9053\u4e3a\u4ec0\u4e48dalao\u4eec\u90fd\u7528\u7b1b\u5361\u5c14\u6811\uff08\u679c\u7136\u6211\u4e0d\u662fdalao\uff09\uff09\u4e24\u6b21\u5355\u8c03\u6808\u7ef4\u62a4\uff0c\u503c\u5f97\u6ce8\u610f\u7684\u662f\u6b63\u53cd\u7684\u4e24\u4e2a\u5355\u8c03\u6808<strong>\u6709\u4e14\u53ea\u6709<\/strong>\u4e00\u4e2a\u5fc5\u987b\u52a0\u7b49\u53f7<\/p>\n<p>\u53d1\u73b0\u53ef\u4ee5\u628a\u8fd9\u4e00\u7684\u8d21\u732e\u5173\u7cfb\u8868\u793a\u6210 \\(l\\) \u4e3a\u6a2a\u5750\u6807 \\(r\\) \u4e3a\u7eb5\u5750\u6807\u7684\u5750\u6807\u7cfb \u4e2d\u7684\u4e00\u4e9b\u77e9\u5f62\uff0c\u589e\u52a0\u8d21\u732e\u533a\u95f4\u5c31\u76f8\u5f53\u4e8e<strong>\u77e9\u5f62\u8986\u76d6<\/strong>\u3002\u5373\u6bcf\u6b21\u5bf9\u4e8e\u4e00\u4e2a \\(l\\) \uff0c\u5728\u6240\u6709\u5305\u542b \\(l\\) \u7684\u8d21\u732e\u7ec4\u6210\u7684\u5e73\u9762\u4e2d\uff0c\u627e\u5230\u6743\u503c\u6700\u5927\u7684\u4e00\u4e2a\u70b9\uff08\u5b83\u7684\u7eb5\u5750\u6807\u76f8\u5f53\u4e8e \\(r\\)\uff09\uff0c\u7528\u5b83\u6765\u8d21\u732e \\(f_{l,}\\) \u3002\u6ce8\u610f\u5230\u8fd9\u4e2a\u8fc7\u7a0b\u53ef\u4ee5\u4f7f\u7528<strong>\u626b\u63cf\u7ebf<\/strong>\uff08\u6309 \\(l\\) \u4ece\u5c0f\u5230\u5927\u626b\u63cf\uff09+<strong>\u7ebf\u6bb5\u6811<\/strong>\u7ef4\u62a4\uff08\u626b\u5230 \\(l\\) \u65f6\u5408\u6cd5\u77e9\u5f62\u4e2d\u70b9\u7684\u70b9\u6743\u6700\u5927\u503c\uff09\uff0c\u65f6\u95f4\u590d\u6742\u5ea6 \\(O\\left(nm \\log \\left(nm\\right)\\right)\\) \u3002<\/p>\n<p>&nbsp;<\/p>\n<pre class=\"minimize:true 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\r\n#define _max(_a_,_b_) ((_a_)&gt;(_b_)?(_a_):(_b_))\r\n\r\n#ifdef ONLINE_JUDGE\r\n\tchar __B[1&lt;&lt;20],*__S=__B,*__T=__B;\r\n\t#define getchar() (__S==__T&amp;&amp;(__T=(__S=__B)+fread(__B,1,1&lt;&lt;20,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 _b[2050505],*b[105050];\r\nlong long a[105050];\r\n\r\nstruct _event\r\n{\r\n\tint x,l,r,val;\r\n\tbool operator &lt; (const _event&amp;o)const\r\n\t{\r\n\t\treturn x&lt;o.x;\r\n\t}\r\n}evt[2050505];\r\nint le;\r\n\r\n#define Ls(_o) ((_o)&lt;&lt;1)\r\n#define Rs(_o) (Ls(_o)|1)\r\nlong long smx[105050&lt;&lt;2],tag[105050&lt;&lt;2];\r\n\r\n#define PushUp(_o){ \\\r\n\tsmx[_o]=_max(smx[Ls(_o)],smx[Rs(_o)]);}\r\n#define PushDown(_o){ \\\r\n\tsmx[Ls(_o)]+=tag[_o],tag[Ls(_o)]+=tag[_o]; \\\r\n\tsmx[Rs(_o)]+=tag[_o],tag[Rs(_o)]+=tag[_o]; \\\r\n\ttag[_o]=0;}\r\n\r\nvoid BuildTree(register int O,register int L,register int R)\r\n{\r\n\tif(L==R)\r\n\t{\r\n\t\tsmx[O]=-a[L-1];\r\n\t\treturn;\r\n\t}\r\n\tregister int mid=(L+R)&gt;&gt;1;\r\n\tBuildTree(Ls(O),L,mid);\r\n\tBuildTree(Rs(O),mid+1,R);\r\n\tPushUp(O);\r\n}\r\n\r\nint ML,MR,MV;\r\nvoid ModifyTreeS(register int O,register int L,register int R)\r\n{\r\n\tif(L&gt;=ML &amp;&amp; R&lt;=MR)\r\n\t{\r\n\t\tsmx[O]+=MV,tag[O]+=MV;\r\n\t\treturn;\r\n\t}\r\n\tif(tag[O])\r\n\t\tPushDown(O);\r\n\tregister int mid=(L+R)&gt;&gt;1;\r\n\tif(ML&lt;=mid)\r\n\t\tModifyTreeS(Ls(O),L,mid);\r\n\tif(MR&gt;mid)\r\n\t\tModifyTreeS(Rs(O),mid+1,R);\r\n\tPushUp(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(L&gt;=QL &amp;&amp; R&lt;=QR)\r\n\t{\r\n\t\t_Qret=_max(_Qret,smx[O]);\r\n\t\treturn;\r\n\t}\r\n\tif(tag[O])\r\n\t\tPushDown(O);\r\n\tregister int mid=(L+R)&gt;&gt;1;\r\n\tif(QL&lt;=mid)\r\n\t\tQueryTree(Ls(O),L,mid);\r\n\tif(QR&gt;mid)\r\n\t\tQueryTree(Rs(O),mid+1,R);\r\n}\r\n\r\nint main()\r\n{\r\n\tregister int N=getnum(),M=getnum();\r\n\tfor(register int i=1;i&lt;=N-1;i++)\r\n\t\ta[i]=a[i-1]+getnum();\r\n\tfor(register int i=0,lst=0;i&lt;=M;i++)\r\n\t\tb[i]=&amp;_b[lst],lst+=N+2;\r\n\tfor(register int i=1;i&lt;=N;i++)\r\n\t\tfor(register int j=1;j&lt;=M;j++)\r\n\t\t\tb[j][i]=getnum(),b[j][N+1]=INT_MAX;\r\n\t\r\n\tfor(register int j=1;j&lt;=M;j++)\r\n\t{\r\n\t\tregister int top=0;\r\n\t\tstatic int stk[105050],lson[105050],rson[105050];\r\n\t\tstk[top=0]=0;\r\n\t\t\/*for(register int i=1;i&lt;=N;i++)\r\n\t\t{\r\n\t\t\twhile(top &amp;&amp; b[j][stk[top]] &lt;= b[j][i])\r\n\t\t\t\ttop--;\r\n\t\t\tlson[i]=stk[top]+1;\r\n\t\t\tstk[++top]=i;\r\n\t\t}\r\n\t\tstk[top=0]=N+1;\r\n\t\tfor(register int i=N;i&gt;=1;i--)\r\n\t\t{\r\n\t\t\twhile(top &amp;&amp; b[j][stk[top]] &lt; b[j][i])\r\n\t\t\t\ttop--;\r\n\t\t\trson[i]=stk[top]-1;\r\n\t\t\tstk[++top]=i;\r\n\t\t}\r\n\t\tfor(register int i=1;i&lt;=N;i++)\r\n\t\t{\r\n\t\t\t\/\/printf(\"[%d, (%d), %d]\\n\",lson[i],i,rson[i]);\r\n\t\t\tevt[++le]=(_event){lson[i],i,rson[i],b[j][i]};\r\n\t\t\tevt[++le]=(_event){i+1,i,rson[i],-b[j][i]};\r\n\t\t}*\/\r\n\t\tfor(register int i=1;i&lt;=N+1;i++)\r\n\t\t{\r\n\t\t\twhile(top &amp;&amp; b[j][stk[top]] &lt; b[j][i])\r\n\t\t\t{\r\n\t\t\t\tevt[++le]=(_event){lson[top],stk[top],i-1,b[j][stk[top]]};\r\n\t\t\t\tevt[++le]=(_event){stk[top]+1,stk[top],i-1,-b[j][stk[top]]};\r\n\t\t\t\ttop--;\r\n\t\t\t}\r\n\t\t\tstk[++top]=i;\r\n\t\t\tlson[top]=stk[top-1]+1;\r\n\t\t}\r\n\t}\r\n\tstd::sort(&amp;evt[1],&amp;evt[le+1]);\r\n\t\r\n\tBuildTree(1,1,N);\r\n\tlong long ans=LLONG_MIN;\r\n\tfor(register int i=1,k=1;i&lt;=N;i++)\r\n\t{\r\n\t\t\/\/printf(\"event %d\\n\",i);\r\n\t\twhile(k&lt;=le &amp;&amp; evt[k].x==i)\r\n\t\t{\r\n\t\t\tML=evt[k].l,MR=evt[k].r,MV=evt[k].val;\r\n\t\t\t\/\/printf(\"add %d %d   v:%d\\n\",ML,MR,MV);\r\n\t\t\tModifyTreeS(1,1,N);\r\n\t\t\tk++;\r\n\t\t}\r\n\t\t\r\n\t\tQL=i,QR=N,_Qret=LLONG_MIN,QueryTree(1,1,N);\r\n\t\tlong long tans=_Qret+a[i-1];\r\n\t\tans=_max(ans,tans);\r\n\t\t\/\/printf(\"query %d %d   v:%lld\\n\",QL,QR,_Qret);\r\n\t}\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<hr \/>\n<p>\u6cd52\uff0c\u6ce8\u610f\u5230\u82e5 \\(f_{l, }\\) \u7684\u6700\u4f18\u8d21\u732e\u70b9\u5728 \\(k\\) \uff0c\u90a3\u4e48 \\(f_{l+1, }\\) \u7684\u6700\u4f18\u8d21\u732e\u70b9\u4e00\u5b9a\u4e0d\u4f1a\u5728 \\(k\\) \u4e4b\u524d\uff0c\u5373<strong>\u51b3\u7b56\u5355\u8c03\u6027<\/strong>\u3002<del>\u8bc1\u660e\u81ea\u884c\u611f\u6027\u7406\u89e3\uff08\u5176\u5b9e\u662f\u6211\u4e0d\u4f1a\u8bc1\uff09\u3002<\/del>\u6240\u4ee5\u5206\u6cbb\u4e00\u4e0b\u5373\u53ef\uff0c\u4ee5 \\(mid\\) \u4e3a \\(l\\) \u65f6\u6700\u4f18\u7684 \\(r\\) \u53ef\u80fd\u5728 \\([kl, kr]\\) \u4e2d\uff0c\u65f6\u95f4\u590d\u6742\u5ea6 \\(O\\left(nm \\log n\\right)\\) \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\r\n#define _min(_a_,_b_) ((_a_)&lt;(_b_)?(_a_):(_b_))\r\n#define _max(_a_,_b_) ((_a_)&gt;(_b_)?(_a_):(_b_))\r\n\r\n#ifdef ONLINE_JUDGE\r\n\tchar __B[1&lt;&lt;20],*__S=__B,*__T=__B;\r\n\t#define getchar() (__S==__T&amp;&amp;(__T=(__S=__B)+fread(__B,1,1&lt;&lt;20,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 N,M;\r\nint _b[2050505],*b[105050];\r\nlong long a[105050];\r\n\r\nint _log[105050],__fb[20505050],*_fb[2050505],**fb[105050];\r\n#define segmax(_j, _l, _r) \\\r\n\t_max(fb[_j][_log[_r-_l+1]][_l],fb[_j][_log[_r-_l+1]][_r-(1&lt;&lt;_log[_r-_l+1])+1])\r\n\r\nlong long ans;\r\nvoid Divide(register int l,register int r,register int kl,register int kr)\r\n{\r\n\tif(l&gt;r)\r\n\t\treturn;\r\n\tregister int mid=(l+r)&gt;&gt;1,kb=kl,kll=_max(mid,kl);\r\n\tlong long tgans=LLONG_MIN;\r\n\tfor(register int i=kll;i&lt;=kr;i++)\r\n\t{\r\n\t\tlong long tans=a[mid-1]-a[i-1];\r\n\t\tfor(register int j=1;j&lt;=M;j++)\r\n\t\t\ttans+=segmax(j,mid,i);\r\n\t\tif(tans&gt;tgans)\r\n\t\t\ttgans=tans,kb=i;\r\n\t}\r\n\tans=_max(ans,tgans);\r\n\t\r\n\tDivide(l,mid-1,kl,kb);\r\n\tDivide(mid+1,r,kb,kr);\r\n}\r\n\r\nint main()\r\n{\r\n\tregister int N=getnum(),M=getnum();\r\n\t::N=N,::M=M;\r\n\tfor(register int i=1;i&lt;=N-1;i++)\r\n\t\ta[i]=a[i-1]+getnum();\r\n\tfor(register int i=0,lst=0;i&lt;=M;i++)\r\n\t\tb[i]=&amp;_b[lst],lst+=N+2;\r\n\tfor(register int i=1;i&lt;=N;i++)\r\n\t\tfor(register int j=1;j&lt;=M;j++)\r\n\t\t\tb[j][i]=getnum();\r\n\t\r\n\tfor(register int i=2;i&lt;=N;i++)\r\n\t\t_log[i]=_log[i&gt;&gt;1]+1;\r\n\t\r\n\tfor(register int k=0,lst=0;k&lt;=(_log[N]+2)*(M+2)+1;k++)\r\n\t\t_fb[k]=&amp;__fb[lst],lst+=N+2;\r\n\tfor(register int j=0,lst=0;j&lt;=M+1;j++)\r\n\t\tfb[j]=&amp;_fb[lst],lst+=_log[N]+2;\r\n\tfor(register int j=1;j&lt;=M;j++)\r\n\t{\r\n\t\tfor(register int i=1;i&lt;=N;i++)\r\n\t\t\tfb[j][0][i]=b[j][i];\r\n\t\tfor(register int k=1;k&lt;=_log[N];k++)\r\n\t\t\tfor(register int i=1;i&lt;=N;i++)\r\n\t\t\t\tfb[j][k][i]=_max(fb[j][k-1][i],fb[j][k-1][i+(1&lt;&lt;(k-1))]);\r\n\t}\r\n\t\r\n\tans=LLONG_MIN;\r\n\tDivide(1,N,1,N);\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 P3791 \u9910\u9986 \u65f6\u95f4\u9650\u5236\uff1a2000MS \u00a0\u00a0\u00a0\u00a0 \u5185\u5b58\u9650\u5236\uff1a524288KB \u96be\u5ea6\uff1a \u9898\u76ee\u63cf\u8ff0 \u5728 &hellip; <a href=\"https:\/\/mnihyc.com\/blog\/archives\/1054\" class=\"more-link\">\u7ee7\u7eed\u9605\u8bfb<span class=\"screen-reader-text\">YZOJ P3791 \u9910\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":[41,30,86,84,46],"tags":[],"class_list":["post-1054","post","type-post","status-publish","format-standard","hentry","category-proa","category-otherdp","category-scanline","category-cartesiantree","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 P3791 \u9910\u9986 - mnihyc&#039;s Blog<\/title>\n<meta name=\"description\" content=\"YZOJ P3791 \u9910\u9986 \u65f6\u95f4\u9650\u5236\uff1a2000MS \u00a0\u00a0\u00a0\u00a0 \u5185\u5b58\u9650\u5236\uff1a524288KB 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