{"id":1420,"date":"2020-04-22T11:30:48","date_gmt":"2020-04-22T03:30:48","guid":{"rendered":"https:\/\/0self.mnihyc.com\/blog\/?p=1420"},"modified":"2020-04-22T11:34:26","modified_gmt":"2020-04-22T03:34:26","slug":"yzoj-p4643-bjoi2018-%e9%93%be%e4%b8%8a%e4%ba%8c%e6%ac%a1%e6%b1%82%e5%92%8c","status":"publish","type":"post","link":"https:\/\/0self.mnihyc.com\/blog\/archives\/1420","title":{"rendered":"YZOJ P4643 [BJOI2018] \u94fe\u4e0a\u4e8c\u6b21\u6c42\u548c"},"content":{"rendered":"<h1 style=\"text-align: center;\"><strong>[BJOI2018] \u94fe\u4e0a\u4e8c\u6b21\u6c42\u548c<\/strong><\/h1>\n<p style=\"text-align: center;\">\u65f6\u95f4\u9650\u5236\uff1a4000MS\u00a0\u00a0\u00a0\u00a0 \u5185\u5b58\u9650\u5236\uff1a131072KB<\/p>\n<p style=\"text-align: center;\">\u96be\u5ea6\uff1a<span style=\"color: #ff6600;\">\\(6.2\\)<\/span><\/p>\n<ul>\n<li>\n<h3><strong>\u9898\u76ee\u63cf\u8ff0<\/strong><\/h3>\n<\/li>\n<\/ul>\n<p>YJC \u6709\u4e00\u68f5 \\(n\\) \u4e2a\u8282\u70b9\u7684\u6811\uff0c \\(i\\)\u3001\\(i+1\\) \uff08\\(1 \\leq i &lt; n\\)\uff09\u8282\u70b9\u95f4\u6709\u4e00\u6761\u8fb9\uff0c\u7b2c \\(i\\) \u4e2a\u70b9\u7684\u6743\u503c\u4e3a\u6574\u6570 \\(a_i\\) \u3002<\/p>\n<p>\u73b0\u5728\u4ed6\u6709 \\(m\\) \u4e2a\u8be2\u95ee\uff1a<\/p>\n<p>\u64cd\u4f5c \\(1\\)\uff08\u4fee\u6539\uff09\uff1a\u7ed9\u5b9a\u6811\u4e0a\u4e24\u4e2a\u8282\u70b9 \\(u\\)\u3001\\(v\\) \u548c\u4e00\u4e2a\u6574\u6570 \\(d\\)\uff0c\u8868\u793a\u5c06\u6811\u4e0a \\(u\\) \u5230 \\(v\\) \u552f\u4e00\u7684\u7b80\u5355\u8def\u5f84\u4e0a\u6bcf\u4e2a\u70b9\u6743\u503c\u90fd\u52a0\u4e0a \\(d\\)\u3002<\/p>\n<p>\u64cd\u4f5c \\(2\\)\uff08\u8be2\u95ee\uff09\uff1a\u7ed9\u5b9a\u4e24\u4e2a\u6b63\u6574\u6570 \\(l\\)\u3001\\(r\\) \uff0c\u8868\u793a\u6c42\u6811\u4e0a\u6240\u6709\u8282\u70b9\u4e2a\u6570\u5927\u4e8e\u7b49\u4e8e \\(l\\) \u4e14\u5c0f\u4e8e\u7b49\u4e8e \\(r\\) \u7684\u7b80\u5355\u8def\u5f84\u8282\u70b9\u6743\u503c\u548c\u4e4b\u548c\u3002\u7531\u4e8e\u7b54\u6848\u5f88\u5927\uff0c\u53ea\u7528\u8f93\u51fa\u5bf9\u8d28\u6570 \\(1000000007\\) \u53d6\u6a21\u7684\u7ed3\u679c\u5373\u53ef\u3002<\/p>\n<p>\u4e00\u6761\u8282\u70b9\u4e2a\u6570\u4e3a \\(k\\) \u7684\u7b80\u5355\u8def\u5f84\u8282\u70b9\u6743\u503c\u548c\u4e3a\u8fd9\u6761\u4e0a\u6240\u6709 \\(k\\) \u4e2a\u8282\u70b9\uff08\u5305\u62ec\u7aef\u70b9\uff09\u7684\u6743\u503c\u4e4b\u548c\uff0c\u800c\u672c\u9898\u4e2d\u8981\u6c42\u662f\u5bf9\u6240\u6709\u6ee1\u8db3\u8981\u6c42\u7684\u7b80\u5355\u8def\u5f84\uff0c\u6c42\u8fd9\u4e00\u6743\u503c\u548c\u7684\u548c\u3002<\/p>\n<p>\u6811\u8fb9\u662f\u65e0\u5411\u7684\uff0c\u6240\u4ee5\u8def\u5f84\u4e5f\u662f\u65e0\u5411\u7684\uff0c\u5373\u70b9 \\(1\\) \u5230\u70b9 \\(2\\) \u7684\u8def\u5f84\u4e0e\u70b9 \\(2\\) \u5230\u70b9 \\(1\\) \u7684\u8def\u5f84\u662f\u540c\u4e00\u6761\uff0c\u4e0d\u8981\u91cd\u590d\u8ba1\u7b97\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\\)\u3001\\(m\\)\uff0c\u5206\u522b\u8868\u793a\u8282\u70b9\u4e2a\u6570\u548c\u64cd\u4f5c\u6b21\u6570\u3002<\/p>\n<p>\u7b2c\u4e8c\u884c\u5305\u542b \\(n\\) \u4e2a\u6574\u6570\uff0c\u5176\u4e2d\u7b2c \\(i\\) \u4e2a\u6570 \\(a_i\\) \u4e3a\u7b2c \\(i\\) \u4e2a\u70b9\u7684\u521d\u59cb\u6743\u503c\u3002<\/p>\n<p>\u63a5\u4e0b\u6765 \\(m\\) \u884c\uff0c\u6bcf\u884c\u4e3a <span class=\"lang:default decode:true  crayon-inline \">1 u v d<\/span>\u00a0 \u6216 <span class=\"lang:default decode:true  crayon-inline \">2 l r<\/span>\u00a0 \u7684\u5f62\u5f0f\uff0c\u5206\u522b\u8868\u793a\u8fdb\u884c\u4e00\u6b21\u64cd\u4f5c \\(1\\)\uff08\u4fee\u6539\uff09\u6216\u64cd\u4f5c \\(2\\)\uff08\u8be2\u95ee\uff09\u3002<\/p>\n<ul>\n<li>\n<h3><strong>\u8f93\u51fa\u683c\u5f0f<\/strong><\/h3>\n<\/li>\n<\/ul>\n<p>\u5bf9\u4e8e\u6bcf\u6b21\u8be2\u95ee\uff0c\u8f93\u51fa\u4e00\u884c\u4e00\u4e2a\u6574\u6570\uff0c\u8868\u793a\u7b54\u6848\u5bf9 \\(1000000007\\) \u53d6\u6a21\u7684\u4f59\u6570\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=\"lang:default decode:true\">5 5\r\n1 1 1 1 1\r\n2 5 5\r\n2 1 2\r\n1 1 2 2\r\n2 1 1\r\n1 1 5 3<\/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\">5\r\n13\r\n9<\/pre>\n<ul>\n<li>\n<h3><strong>\u6837\u4f8b\u8bf4\u660e<\/strong><\/h3>\n<\/li>\n<\/ul>\n<p>\u8282\u70b9\u4e2a\u6570\u4e3a \\(5\\) \u7684\u7b80\u5355\u8def\u5f84\u53ea\u6709 \\(1\\) \u6761\uff0c\u6743\u503c\u548c\u4e3a \\(5\\)\uff0c\u6545\u7b2c\u4e00\u6b21\u8be2\u95ee\u8f93\u51fa \\(5\\) \u3002<\/p>\n<p>\u8282\u70b9\u4e2a\u6570\u4e3a \\(1\\) \u7684\u7b80\u5355\u8def\u5f84\u6709 \\(5\\) \u6761\uff0c\u6bcf\u6761\u6743\u503c\u548c\u90fd\u662f \\(1\\)\uff1b\u8282\u70b9\u4e2a\u6570\u4e3a \\(2\\) \u7684\u7b80\u5355\u8def\u5f84\u6709 \\(4\\) \u6761\uff0c\u6bcf\u6761\u6743\u503c\u548c\u90fd\u662f \\(2\\)\uff0c\u6545\u7b2c\u4e8c\u6b21\u8be2\u95ee\u8f93\u51fa \\(13\\) \u3002<\/p>\n<p>\u5728\u5c06\u70b9 \\(1\\) \u548c\u70b9 \\(2\\) \u7684\u6743\u503c\u52a0 \\(2\\) \u540e\uff0c \\(5\\) \u6761\u8282\u70b9\u4e2a\u6570\u4e3a \\(1\\) \u7684\u7b80\u5355\u8def\u5f84\u6743\u503c\u548c\u5206\u522b\u4e3a \\(3\\)\u3001\\(3\\)\u3001\\(1\\)\u3001\\(1\\)\u3001\\(1\\) \uff0c\u6545\u7b2c\u4e09\u6b21\u8be2\u95ee\u8f93\u51fa \\(9\\) \u3002<\/p>\n<ul>\n<li>\n<h3><strong>\u6570\u636e\u89c4\u6a21\u4e0e\u7ea6\u5b9a<\/strong><\/h3>\n<\/li>\n<\/ul>\n<p>\u8bb0\u64cd\u4f5c \\(1\\)\uff08\u4fee\u6539\uff09\u7684\u6b21\u6570\u4e3a \\(m&#8217;\\)\u3002<\/p>\n<p>\u5bf9\u4e8e\u5168\u90e8\u6570\u636e\uff0c \u4fdd\u8bc1 \\(n \\leq 200000, m \\leq 500000, m&#8217; \\leq 100000, 0 \\leq a_i &lt; 1000000007\\)\uff0c<\/p>\n<p>\\(1 \\leq u \\leq n, 1 \\leq v \\leq n, 0 \\leq d &lt; 1000000007, 1 \\leq l \\leq r \\leq n\\)\u3002<\/p>\n<table class=\"table table-bordered\">\n<thead>\n<tr>\n<th style=\"vertical-align: middle; text-align: center;\">\u6d4b\u8bd5\u70b9<\/th>\n<th style=\"vertical-align: middle; text-align: center;\">\\(n \\leq\\)<\/th>\n<th style=\"vertical-align: middle; text-align: center;\">\\(m \\leq\\)<\/th>\n<th style=\"vertical-align: middle; text-align: center;\">\\(m&#8217; \\leq\\)<\/th>\n<th style=\"vertical-align: middle; text-align: center;\">\u7ea6\u675f<\/th>\n<\/tr>\n<\/thead>\n<tbody>\n<tr>\n<td style=\"text-align: center; vertical-align: middle;\">1<\/td>\n<td style=\"text-align: center; vertical-align: middle;\" colspan=\"3\" rowspan=\"2\">\\(50\\)<\/td>\n<td style=\"text-align: center; vertical-align: middle;\" rowspan=\"8\">\u65e0<\/td>\n<\/tr>\n<tr>\n<td style=\"text-align: center; vertical-align: middle;\">2<\/td>\n<\/tr>\n<tr>\n<td style=\"text-align: center; vertical-align: middle;\">3<\/td>\n<td style=\"text-align: center; vertical-align: middle;\" colspan=\"3\" rowspan=\"2\">\\(300\\)<\/td>\n<\/tr>\n<tr>\n<td style=\"text-align: center; vertical-align: middle;\">4<\/td>\n<\/tr>\n<tr>\n<td style=\"text-align: center; vertical-align: middle;\">5<\/td>\n<td style=\"text-align: center; vertical-align: middle;\" rowspan=\"4\">\\(5000\\)<\/td>\n<td style=\"text-align: center; vertical-align: middle;\">\\(5000\\)<\/td>\n<td style=\"text-align: center; vertical-align: middle;\" rowspan=\"3\">\\(5000\\)<\/td>\n<\/tr>\n<tr>\n<td style=\"text-align: center; vertical-align: middle;\">6<\/td>\n<td style=\"text-align: center; vertical-align: middle;\" rowspan=\"3\">\\(5 \\times 10^5\\)<\/td>\n<\/tr>\n<tr>\n<td style=\"text-align: center; vertical-align: middle;\">7<\/td>\n<\/tr>\n<tr>\n<td style=\"text-align: center; vertical-align: middle;\">8<\/td>\n<td style=\"text-align: center; vertical-align: middle;\">\\(10^5\\)<\/td>\n<\/tr>\n<tr>\n<td style=\"text-align: center; vertical-align: middle;\">9<\/td>\n<td style=\"text-align: center; vertical-align: middle;\" rowspan=\"12\">\\(2 \\times 10^5\\)<\/td>\n<td style=\"text-align: center; vertical-align: middle;\">\\(1\\)<\/td>\n<td style=\"text-align: center; vertical-align: middle;\" rowspan=\"2\">\\(0\\)<\/td>\n<td style=\"text-align: center; vertical-align: middle;\">\u4fdd\u8bc1 \\(l=1, r=n\\)<\/td>\n<\/tr>\n<tr>\n<td style=\"text-align: center; vertical-align: middle;\">10<\/td>\n<td style=\"text-align: center; vertical-align: middle;\" rowspan=\"11\">\\(5 \\times 10^5\\)<\/td>\n<td style=\"text-align: center; vertical-align: middle;\">\u65e0<\/td>\n<\/tr>\n<tr>\n<td style=\"text-align: center; vertical-align: middle;\">11<\/td>\n<td style=\"text-align: center; vertical-align: middle;\" rowspan=\"10\">\\(10^5\\)<\/td>\n<td style=\"text-align: center; vertical-align: middle;\">\u4fdd\u8bc1 \\(u=v\\)<\/td>\n<\/tr>\n<tr>\n<td style=\"text-align: center; vertical-align: middle;\">12<\/td>\n<td style=\"text-align: center; vertical-align: middle;\">\u4fdd\u8bc1 \\(l=1, r=n\\)<\/td>\n<\/tr>\n<tr>\n<td style=\"text-align: center; vertical-align: middle;\">13<\/td>\n<td style=\"text-align: center; vertical-align: middle;\">\u4fdd\u8bc1 \\(u=1, v=n, a_i=0\\)<\/td>\n<\/tr>\n<tr>\n<td style=\"text-align: center; vertical-align: middle;\">14<\/td>\n<td style=\"text-align: center; vertical-align: middle;\">\u4fdd\u8bc1 \\(u=1, v=n\\)<\/td>\n<\/tr>\n<tr>\n<td style=\"text-align: center; vertical-align: middle;\">15<\/td>\n<td style=\"text-align: center; vertical-align: middle;\">\u4fdd\u8bc1 \\(d=1, a_i=0\\)<\/td>\n<\/tr>\n<tr>\n<td style=\"text-align: center; vertical-align: middle;\">16<\/td>\n<td style=\"text-align: center; vertical-align: middle;\">\u4fdd\u8bc1 \\(d=1\\)<\/td>\n<\/tr>\n<tr>\n<td style=\"text-align: center; vertical-align: middle;\">17<\/td>\n<td style=\"text-align: center; vertical-align: middle;\" rowspan=\"2\">\u4fdd\u8bc1 \\(a_i=0\\)<\/td>\n<\/tr>\n<tr>\n<td style=\"text-align: center; vertical-align: middle;\">18<\/td>\n<\/tr>\n<tr>\n<td style=\"text-align: center; vertical-align: middle;\">19<\/td>\n<td style=\"text-align: center; vertical-align: middle;\" rowspan=\"2\">\u65e0<\/td>\n<\/tr>\n<tr>\n<td style=\"text-align: center; vertical-align: middle;\">20<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<p>&nbsp;<\/p>\n<p>&nbsp;<\/p>\n<p>\u52a0\u5f3a\u7248\uff1a<a href=\"https:\/\/0self.mnihyc.com\/blog\/archives\/1260\"><span style=\"color: #0000ff;\">YZOJ P4611 \u533a\u95f4\u52a0\u591a\u9879\u5f0f\uff08YJC \u7684\u6570\u7ec4\/\u591a\u9879\u5f0f\uff1f\uff09<\/span><\/a><\/p>\n<p>&nbsp;<\/p>\n<hr \/>\n<p><!--more--><\/p>\n<p>&nbsp;<\/p>\n<p>&nbsp;<\/p>\n<p>\u6807\u9898 = \u6b63\u89e3 \u7cfb\u5217\uff08<\/p>\n<p>\u8be2\u95ee\u7684\u8fd9\u4e2a\u5f88\u5947\u602a\u7684\u4e1c\u897f\u5b83\u5176\u5b9e\u662f \\(\\displaystyle\\sum\\limits_{k=l}^r {\\sum\\limits_{i=k}^n {\\sum\\limits_{j=i-k+1}^i a_j}}\\) \u3002<\/p>\n<p>\u597d\u590d\u6742\uff0c\u8bb0 \\(A_i = \\displaystyle\\sum\\limits_{j=1}^i a_j\\) \u5373 \\(a_i\\) \u7684\u524d\u7f00\u548c\uff0c\u90a3\u4e48\u53d8\u6210 \\(\\displaystyle\\sum\\limits_{k=l}^r {\\sum\\limits_{i=k}^n {\\left(A_i &#8211; A_{i-k}\\right)}}\\) \u3002<\/p>\n<p>\u62c6\u5f00\uff0c\u53d8\u6210 \\(\\displaystyle\\sum\\limits_{k=l}^r {\\sum\\limits_{i=k}^n A_i &#8211; \\sum\\limits_{i=0}^{n-k}A_i}\\) \u3002<\/p>\n<p>\u8fd8\u662f\u597d\u590d\u6742\uff0c\u518d\u8bb0 \\(B_i = \\displaystyle\\sum\\limits_{j=1}^i A_j\\) \u5373 \\(A_i\\) \u7684\u524d\u7f00\u548c\uff0c\u90a3\u4e48\u53d8\u6210 \\(\\displaystyle\\sum\\limits_{k=l}^r {\\left(B_n &#8211; B_{k-1} &#8211; B_{n-k}\\right)}\\) \u3002<\/p>\n<p>\u62c6\u5f00\uff0c\u53d8\u6210 \\(\\displaystyle \\left(r-l+1\\right)B_n &#8211; \\sum\\limits_{i=l-1}^{r-1} B_i &#8211; \\sum\\limits_{i=n-r}^{n-l} B_i\\) \u3002<\/p>\n<p>\u4e8e\u662f\u53d1\u73b0\u53ef\u4ee5\u7528 \u7ebf\u6bb5\u6811\/\u6811\u72b6\u6570\u7ec4 \u7ef4\u62a4 \\(B_i\\) \uff0c\u73b0\u5728\u8003\u8651\u4fee\u6539\u5982\u4f55\u64cd\u4f5c\u3002<\/p>\n<p>\u5728 \\(a\\) \u4e0a\u533a\u95f4\u52a0\u5e38\u6570\uff0c\u53d8\u6210\u5728 \\(A\\) \u4e0a\u533a\u95f4\u52a0\u4e00\u6b21\u51fd\u6570\uff0c\u53d8\u6210\u5728 \\(B\\) \u4e0a\u533a\u95f4\u52a0\u4e8c\u6b21\u51fd\u6570\u3002<\/p>\n<p>\u53ef\u4ee5\u968f\u4fbf\u624b\u63a8\u4e00\u4e0b\u5f0f\u5b50\uff1a\u8bbe \\(\\mbox{len}=r-l+1\\) \uff0c<\/p>\n<p>\u5bf9\u4e8e \\(l \\leq i \\leq r\\)\uff0c\u6709 \\(B_i \\mathrel{+}= \\displaystyle\\frac{\\left(i-l+1\\right)\\left(i-l+2\\right)}{2}d\\) \uff1b<\/p>\n<p>\u5bf9\u4e8e \\(r &lt; i \\leq n\\)\uff0c\u6709 \\(B_i \\mathrel{+}= \\displaystyle\\frac{\\mbox{len}\\left(\\mbox{len}+1\\right)}{2}d + \\mbox{len}\\left(i-r\\right)d\\) \u3002<\/p>\n<p>\u7ebf\u6bb5\u6811 \u5206\u522b\u7ef4\u62a4\u5404\u6b21\u9879\u7cfb\u6570\uff08\u6807\u8bb0\u6c38\u4e45\u5316 \\(&gt;\\) \u6253 \\(\\mbox{tag}\\)\uff09\uff0c\u533a\u95f4\u4fee\u6539\/\u533a\u95f4\u67e5\u8be2 \u5373\u53ef\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    #define MOD 1000000007\r\n    #define INV2 500000004\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    inline 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\n    typedef long long LLONG;\r\n     \r\n    int sum[605050],tag[605050][3];\r\n    struct _lson{ inline int operator[](const int&amp;idx){return idx&lt;&lt;1;} }lson;\r\n    struct _rson{ inline int operator[](const int&amp;idx){return (idx&lt;&lt;1)|1;} }rson;\r\n     \r\n    int _ps0[205050],_ps1[205050],_ps2[205050];\r\n    #define PowerSum(_arr,_l,_r) ((_arr)[_r]-(_arr)[_max((_l)-1,0)])\r\n    #define PointAns(_tag,_l,_r) ((((LLONG)(_tag)[0]*PowerSum(_ps0,_l,_r)+ \\\r\n    \t(LLONG)(_tag)[1]*PowerSum(_ps1,_l,_r)+ \\\r\n    \t(LLONG)(_tag)[2]*PowerSum(_ps2,_l,_r))%MOD+MOD)%MOD)\r\n     \r\n    int _Qret,QL,QR;\r\n    void 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{\r\n    \t\t(_Qret+=sum[o])%=MOD;\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    \t(_Qret+=PointAns(tag[o],_max(l,QL),_min(r,QR)))%=MOD;\r\n    }\r\n     \r\n    int ML,MR,MV[3];\r\n    void ModifyTree(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\t(sum[o]+=PointAns(MV,l,r))%=MOD;\r\n    \t\t#define _pltag(_i) ((tag[o][_i]+=MV[_i])%=MOD)\r\n    \t\t_pltag(0),_pltag(1),_pltag(2);\r\n    \t\treturn;\r\n    \t}\r\n    \tregister int mid=(l+r)&gt;&gt;1;\r\n    \tif(ML&lt;=mid)\r\n    \t\tModifyTree(lson[o],l,mid);\r\n    \tif(MR&gt;mid)\r\n    \t\tModifyTree(rson[o],mid+1,r);\r\n    \tsum[o]=(sum[lson[o]]+sum[rson[o]]+PointAns(tag[o],l,r))%MOD;\r\n    }\r\n     \r\n    int a[205050];\r\n    void BuildTree(register int o,register int l,register int r)\r\n    {\r\n    \tif(l==r)\r\n    \t{\r\n    \t\tsum[o]=a[l];\r\n    \t\treturn;\r\n    \t}\r\n    \tregister int mid=(l+r)&gt;&gt;1;\r\n    \tBuildTree(lson[o],l,mid),BuildTree(rson[o],mid+1,r);\r\n    \tsum[o]=(sum[lson[o]]+sum[rson[o]])%MOD;\r\n    }\r\n     \r\n    int main()\r\n    {\r\n    \tregister int N=getnum(),M=getnum();\r\n    \tfor(register int i=1;i&lt;=N;i++)\r\n    \t\ta[i]=(a[i-1]+getnum())%MOD,\r\n    \t\t_ps0[i]=_ps0[i-1]+1,_ps1[i]=(_ps1[i-1]+i)%MOD,\r\n    \t\t_ps2[i]=(_ps2[i-1]+(LLONG)i*i)%MOD;\r\n    \tfor(register int i=2;i&lt;=N;i++)\r\n    \t\t(a[i]+=a[i-1])%=MOD;\r\n    \tBuildTree(1,0,N);\r\n    \t\r\n    \tfor(register int lp=1;lp&lt;=M;lp++)\r\n    \t{\r\n    \t\tregister int opt=getnum(),l=getnum(),r=getnum();\r\n    \t\tif(l&gt;r)\r\n    \t\t\tl^=r^=l^=r;\r\n    \t\tif(opt==1)\r\n    \t\t{\r\n    \t\t\tregister int x=getnum(),xt=(LLONG)x*INV2%MOD;\r\n    \t\t\tMV[2]=xt;\r\n    \t\t\tMV[1]=(LLONG)(3-(l&lt;&lt;1)+MOD)*xt%MOD;\r\n    \t\t\tMV[0]=(LLONG)(1-l)*(2-l)%MOD*xt%MOD;\r\n    \t\t\tML=l,MR=r,ModifyTree(1,0,N);\r\n    \t\t\tMV[2]=0;\r\n    \t\t\tMV[1]=(LLONG)(r-l+1)*x%MOD;\r\n    \t\t\tMV[0]=(LLONG)(r-l+1)*(2-l-r+MOD)%MOD*xt%MOD;\r\n    \t\t\tif(r+1&lt;=N)\r\n    \t\t\t\tML=r+1,MR=N,ModifyTree(1,0,N);\r\n    \t\t}\r\n    \t\telse\r\n    \t\t{\r\n    \t\t\tregister int ans=0;\r\n    \t\t\t_Qret=0,QL=N,QR=N,QueryTree(1,0,N);\r\n    \t\t\tans=(LLONG)_Qret*(r-l+1)%MOD;\r\n    \t\t\t_Qret=0,QL=l-1,QR=r-1,QueryTree(1,0,N);\r\n    \t\t\tQL=N-r,QR=N-l,QueryTree(1,0,N);\r\n    \t\t\tans=(ans-_Qret+MOD)%MOD;\r\n    \t\t\tprintf(\"%d\\n\",ans);\r\n    \t\t}\r\n    \t}\r\n    \t\r\n    \treturn 0;\r\n    }<\/pre>\n<p>&nbsp;<\/p>\n<p>&nbsp;<\/p>\n","protected":false},"excerpt":{"rendered":"<p>[BJOI2018] \u94fe\u4e0a\u4e8c\u6b21\u6c42\u548c \u65f6\u95f4\u9650\u5236\uff1a4000MS\u00a0\u00a0\u00a0\u00a0 \u5185\u5b58\u9650\u5236\uff1a131072KB \u96be\u5ea6\uff1a \u9898\u76ee\u63cf &hellip; <a href=\"https:\/\/0self.mnihyc.com\/blog\/archives\/1420\" class=\"more-link\">\u7ee7\u7eed\u9605\u8bfb<span class=\"screen-reader-text\">YZOJ P4643 [BJOI2018] \u94fe\u4e0a\u4e8c\u6b21\u6c42\u548c<\/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":[41,32,46],"tags":[],"class_list":["post-1420","post","type-post","status-publish","format-standard","hentry","category-proa","category-combmath","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 P4643 [BJOI2018] \u94fe\u4e0a\u4e8c\u6b21\u6c42\u548c - mnihyc&#039;s Blog<\/title>\n<meta name=\"description\" content=\"\u94fe\u4e0a\u4e8c\u6b21\u6c42\u548c \u65f6\u95f4\u9650\u5236\uff1a4000MS\u00a0\u00a0\u00a0\u00a0 \u5185\u5b58\u9650\u5236\uff1a131072KB \u96be\u5ea6\uff1a \u9898\u76ee\u63cf\u8ff0 YJC \u6709\u4e00\u68f5 (n) \u4e2a\u8282\u70b9\u7684\u6811\uff0c (i)\u3001(i+1) \uff08(1 leq i &lt; 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