{"id":1187,"date":"2019-06-15T17:40:48","date_gmt":"2019-06-15T09:40:48","guid":{"rendered":"https:\/\/0.mnihyc.com\/blog\/?p=1187"},"modified":"2020-02-09T02:40:43","modified_gmt":"2020-02-08T18:40:43","slug":"yzoj-p2905-pa2014druzyny","status":"publish","type":"post","link":"https:\/\/0.mnihyc.com\/blog\/archives\/1187","title":{"rendered":"YZOJ P2905 [PA2014]Druzyny"},"content":{"rendered":"<h1 style=\"text-align: center;\">YZOJ P2905 [PA2014]Druzyny<\/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: #ff0000;\">\\(8.0\\)<\/span><\/p>\n<ul>\n<li>\n<h3><strong>\u9898\u76ee\u63cf\u8ff0<\/strong><\/h3>\n<\/li>\n<\/ul>\n<p>\u5728\u4e4b\u524d\u7684\u67d0\u6b21\u6821\u5185\u8bad\u7ec3\u4e2d\uff0c<code>zzx<\/code> \u51fa\u4e86\u4e00\u9053\u795e\u5947\u7684\u9898\u76ee\uff1a\u7ed9\u51fa \\(n\\) \u4e2a\u4eba\uff0c\u8981\u6c42\u5c06\u6240\u6709\u4eba\u5206\u6210\u82e5\u5e72\u4e2a\u7ec4\uff0c\u7b2c \\(i\\) \u4e2a\u4eba\u6240\u5728\u7684\u7ec4\u7684\u4eba\u6570\u5fc5\u987b\u5728 \\([l_i, r_i]\\) \u4e4b\u95f4\uff0c\u5224\u65ad\u662f\u5426\u5b58\u5728\u53ef\u884c\u89e3\u3002<\/p>\n<p><code>OI<\/code>\u7ec4\u7684\u795e\u7287\u4eec\u51b3\u5b9a\u628a\u8fd9\u9898\u6539\u9020\u4e00\u4e0b\uff1a<\/p>\n<p><code>dick32165401<\/code>\uff1a\u6539\u6210\u53ea\u6709\u7f16\u53f7\u8fde\u7eed\u7684\u7684\u4e00\u6bb5\u624d\u53ef\u4ee5\u5206\u4e00\u7ec4\u3002<\/p>\n<p><code>runzhe2000<\/code>\uff1a\u5224\u5b9a\u53ef\u884c\u89e3\u53ef\u80fd\u4f1a\u88ab\u7206\u641c\u6c34\u8fc7\uff0c\u6700\u5927\u5316\u5206\u7684\u7ec4\u6570\u5c31\u4e0d\u90a3\u4e48\u5bb9\u6613\u6c34\u8fc7\u4e86\u3002<\/p>\n<p><code>E.Space<\/code>\uff1a\u4e0d\u4ec5\u8981\u6700\u5927\u5316\u7ec4\u6570\uff0c\u8fd8\u8981\u6c42\u51fa\u6700\u5927\u5316\u7ec4\u6570\u7684\u65b9\u6848\u6570\u3002<del><\/del><\/p>\n<p><code>ct<\/code>\uff1a\u6570\u636e\u8303\u56f4\u5c31\u51fa100\u4e07\u597d\u4e86\u3002<\/p>\n<p>\u4e8e\u662f\u8fd9\u9898\u5c31\u88ab\u8fd9\u4e48\u9020\u597d\u4e86\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\\)\uff0c\\(1 \\leq n \\leq 1000000\\) \u3002<\/p>\n<p>\u63a5\u4e0b\u6765 \\(n\\) \u884c\uff0c\u6bcf\u884c \\(l_i,r_i\\)\uff0c\\(1 \\leq l_i \\leq r_i \\leq 1000000\\) \u3002<\/p>\n<ul>\n<li>\n<h3><strong>\u8f93\u51fa\u683c\u5f0f<\/strong><\/h3>\n<\/li>\n<\/ul>\n<p>\u82e5\u4e0d\u5b58\u5728\u5408\u6cd5\u7684\u65b9\u6848\uff0c\u4ec5\u8f93\u51fa\u4e00\u884c \\(-1\\) \u3002<\/p>\n<p>\u5426\u5219\u8f93\u51fa\u4e00\u884c\u4e24\u4e2a\u6574\u6570\uff0c\u5206\u522b\u8868\u793a\u7ec4\u6570\u7684\u6700\u5927\u503c\u548c\u7ec4\u6570\u53d6\u6700\u5927\u503c\u7684\u65b9\u6848\u6570\u6a21 \\(10^9+7\\) \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 \">9\r\n1 4\r\n2 5\r\n3 4\r\n1 5\r\n1 1\r\n2 5\r\n3 5\r\n1 3\r\n1 1<\/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 2<\/pre>\n<p>&nbsp;<\/p>\n<p>&nbsp;<\/p>\n<p>&nbsp;<\/p>\n<p>Source: BZOJ 3711<\/p>\n<p>\u819c\u62dc\u4e0a\u65b9\u6240\u6709dalao %%%%%%%%%%%%%%%%%%<\/p>\n<p>\u50cf\u6211\u8fd9\u79cd\u83dc\u9e21\u770b\u5230\u8fd9\u79cd\u795e\u4ed9\u9898\u53ea\u4f1a\u7206\u96f6QAQ<\/p>\n<p><!--more--><\/p>\n<hr \/>\n<p>&nbsp;<\/p>\n<p>&nbsp;<\/p>\n<p>&nbsp;<\/p>\n<p>\u9996\u5148\u4f1a\u6709\u4e00\u4e2a DP \u65b9\u7a0b<\/p>\n<p><span style=\"font-size: 20px;\">\\(f_i = \\max\\limits_{j=0}^{i-1}\\{f_j+1\\}\\)\uff0c\u4e14 \\(\\max\\limits_{k=j+1}^{i}{c_k} \\leq i-j \\leq \\min\\limits_{k=j+1}^{i}{d_k}\\)<\/span><\/p>\n<p>\u66b4\u529b\u8f6c\u79fb\u662f \\(O(n^2)\\) \u7684\uff0c\u8003\u8651\u4f18\u5316\u3002<\/p>\n<p>\u9996\u5148\u4e24\u4e2a\u9650\u5236\u6761\u4ef6\u4f7f\u5f97\u672c\u9898\u5341\u5206\u7684\u4e0d\u53ef\u505a\uff0c\u8003\u8651\u53bb\u6389\u5176\u4e2d\u4e00\u4e2a\u3002<\/p>\n<p>\u6ce8\u610f\u5230 <span style=\"font-size: 20px;\">\\(i-j \\leq \\min\\limits_{k=j+1}^{i}{d_k}\\)<\/span> \uff0c\u968f\u7740 \\(i\\) \u7684\u589e\u52a0\uff1a\\(\\min\\limits_{k=j+1}^{i}{d_k}\\) \u662f\u5355\u8c03\u4e0d\u589e\u7684\uff0c\\(i-j\\) \u662f\u5355\u8c03\u9012\u589e\u7684\uff0c\u6240\u4ee5\u6ee1\u8db3\u6761\u4ef6\u7684 \\(j\\) \u7684\u6700\u5c0f\u503c\u4e00\u5b9a\u662f\u968f\u7740 \\(i\\) <strong>\u5355\u8c03\u4e0d\u964d<\/strong>\u7684\u3002<\/p>\n<p>\u6240\u4ee5\u53ef\u4ee5\u5148\u901a\u8fc7<strong>\u53cc\u6307\u9488<\/strong>\u6cd5\uff08\u540c\u65f6\u7ef4\u62a4\u4e00\u4e2a\u53cc\u7aef\u961f\u5217\uff09\u5f97\u51fa \\(g_i\\) \u8868\u793a\u6ee1\u8db3\u5982\u4e0a\u6761\u4ef6\u7684 \\(j\\) \u7684\u6700\u5c0f\u503c\uff0c\u5e76\u4e14\u8fd9\u91cc\u7684 \\(g_i\\) \u662f\u5355\u8c03\u4e0d\u964d\u7684\u3002<\/p>\n<p>\u8fd9\u6837\u5c31\u76f8\u5f53\u4e8e\u628a \\(d\\) \u7684\u9650\u5236\u53bb\u6389\u4e86\uff0c\u4f46\u662f\u8fde\u7eed\u7684\u8d21\u732e\u533a\u95f4\u4f1a\u88ab \\(c\\) \u7684\u9650\u5236\u5207\u65ad\uff0c\u6240\u4ee5\u8003\u8651\u7528\u4e00\u79cd\u7c7b\u4f3c\u4e8e <strong>CDQ\u5206\u6cbb<\/strong> \u6765\u627e\u5230\u8fd9\u4e9b\u8fde\u7eed\u7684\u8d21\u732e\u533a\u95f4\u3002<\/p>\n<p>\u5bf9\u4e8e\u5206\u6cbb\u533a\u95f4 \\([l, r]\\) \uff0c\u627e\u5230\u4e00\u4e2a \\(k\\) \u4f7f\u5f97 \\([l+1, r]\\) \u5185\u7684 <strong>\\(c_k\\) \u6700\u5927<\/strong>\uff0c\u8003\u8651\u7528 \\([l, k)\\) \u6765\u8d21\u732e \\([k, r]\\) \u3002\u00a0<\/p>\n<p>\u9700\u8981\u7279\u522b\u6ce8\u610f\u7684\u662f\uff0c\u8fd9\u91cc\u4e0d\u80fd\u76f4\u63a5\u626b \\([l, k)\\) \u5e76\u8d21\u732e\u7ed9 \\([k, r]\\) \uff0c\u56e0\u4e3a\u5206\u6cbb\u7684\u5206\u6b67\u70b9\u5e76\u4e0d\u662f\u533a\u95f4\u7684\u4e2d\u70b9\uff0c\u6240\u4ee5\u65f6\u95f4\u590d\u6742\u5ea6\u4e3a \\(T(n)=T(k)+T(n-k)+ \\cdots\\) \uff0c\u5982\u679c \\(O(k)\\) \u626b\u4e00\u904d\u7684\u8bdd\uff0c\u590d\u6742\u5ea6\u53ef\u4ee5\u662f \\(O(n^2)\\)\uff0c\u4e0d\u80fd\u8fbe\u5230\u9884\u671f\u7684\u6548\u679c\u3002<\/p>\n<p>\u8981\u4f7f\u590d\u6742\u5ea6\u5f97\u5230\u4fdd\u8bc1\uff0c\u5fc5\u987b\u4f7f\u626b\u8fc7\u7684\u5143\u7d20\u4e2a\u6570\u6700\u5c11\uff0c\u6240\u4ee5\u7528<strong>\u7ebf\u6bb5\u6811<\/strong>\u7ef4\u62a4\u533a\u95f4\u5185 DP \u7684<strong>\u6700\u5927\u503c<\/strong>\u3002<\/p>\n<p>\u6700\u5c0f\u53ef\u4ee5\u88ab\u8d21\u732e\u5230\u7684\u533a\u95f4\u5de6\u7aef\u70b9\u4e3a \\(\\max\\{k, c_k+l\\}\\) \uff0c\\(i\\) \u4ece\u8fd9\u91cc\u5f00\u59cb\uff0c\u63a5\u4e0b\u6765 \\(i\\) \u7684<strong>\u5411\u53f3\u5355\u8c03\u79fb\u52a8\uff08\u540c\u65f6 \\(g_i\\) \u5355\u8c03\u4e0d\u964d\uff09<\/strong>\u53ef\u4ee5\u5206\u4e3a\u4ee5\u4e0b\u51e0\u79cd\u60c5\u51b5\uff1a<\/p>\n<p>1\uff0c\\(g_i &lt; l\\) \u4e14 \\(i-k &lt; c_k\\) \u3002\u8fd9\u610f\u5473\u7740\u5e76<strong>\u4e0d\u662f<\/strong> \\(\\forall j \\in [l, k)\\) \uff0c\u90fd\u6709 \\(i-j \\geq c_k\\) \u3002\u6240\u4ee5\u5fc5\u987b\u91c7\u7528<strong>\u53cc\u6307\u9488<\/strong>\u6cd5\uff0c\u5bf9\u4e8e\u6bcf\u6b21 \\(i\\) \u7684\u5355\u8c03\u79fb\u52a8\uff0c\\(j\\) \u4e5f\u968f\u4e4b\u5355\u8c03\u53f3\u79fb\uff0c\u5e76\u628a\u6ee1\u8db3\u6761\u4ef6\u7684\u5408\u6cd5\u6700\u5927 DP \u503c\u8d21\u732e\u7ed9 \\(i\\) \u3002<\/p>\n<p>2\uff0c\\(g_i &lt; l\\) \u4e14 \\(i-k \\geq c_k\\) \u3002\u8fd9\u610f\u5473\u7740 \\(\\forall j \\in [l, k)\\) \uff0c<strong>\u90fd\u6709<\/strong> \\(i-j \\geq c_k\\) \uff0c\u5373 \\([l, k)\\) \u4e2d\u6240\u6709\u7684 DP \u503c\u90fd\u53ef\u4ee5\u8d21\u732e\u7ed9 \\(i\\) \u3002\u5e76\u4e14\u66f4\u597d\u7684\u662f\uff0c\u968f\u7740 \\(i\\) \u5355\u8c03\u53f3\u79fb\uff0c\u8fd9\u4e2a\u6027\u8d28\u4ecd\u7136\u4e0d\u4f1a\u6539\u53d8\uff0c\u5373 \\([l, k)\\) \u4e2d\u7684<strong>\u6240\u6709<\/strong> DP \u503c\u90fd\u53ef\u4ee5\u8d21\u732e\u7ed9 \\(i\\) \u5355\u8c03\u53f3\u79fb\u5f62\u6210\u7684\u4e00\u4e2a<strong>\u8fde\u7eed\u7684\u533a\u95f4<\/strong>\u3002<\/p>\n<p>\u5177\u4f53\u7684\u6765\u8bf4\uff0c\u8bbe \\(pos\\) \u4e3a\u7b2c\u4e00\u4e2a\u4f7f\u5f97 \\(g_{pos} \\geq l\\) \u7684\u4e0b\u6807\uff0c\u90a3\u4e48 \\(pos\\) \u4e4b\u524d\u7b26\u5408\u6761\u4ef6\u7684 \\(i\\) \u90fd\u53ef\u4ee5\u7531 \\([l, k)\\) \u8d21\u732e\u800c\u6765\uff0c\u5373 <strong>\\([l, k)\\) \u53ef\u4ee5\u8d21\u732e\u7ed9\u533a\u95f4 \\([i, pos)\\)<\/strong> \u3002\u6240\u4ee5\u5148\u5728\u7ebf\u6bb5\u6811\u4e0a<strong>\u67e5\u8be2\u533a\u95f4<\/strong> \\([l, k)\\) \u4e2d\u7684\u6700\u5927 DP \u503c\uff0c\u7136\u540e\u5728 \\(g\\) \u4e0a<strong>\u4e8c\u5206<\/strong>\u51fa \\(pos\\)\uff0c\u6700\u540e\u518d\u5728\u7ebf\u6bb5\u6811\u4e0a<strong>\u533a\u95f4\u66f4\u65b0<\/strong> \\([i, pos)\\) \u7684\u6700\u5927 DP \u503c\u3002\u6b64\u65f6\uff0c\\(i\\) \u4ece \\(pos\\) \u5f00\u59cb\u7ee7\u7eed\u53f3\u79fb\uff0c\u5373\u8f6c\u5230\u4e86\u60c5\u51b5 3 \u6216 4 \u3002<\/p>\n<p>3\uff0c\\(g_i \\geq l\\) \u4e14 \\(g_i &lt; k\\) \u3002\u53ef\u4ee5\u53d1\u73b0\u5bf9\u4e8e\u5f53\u524d\u7684 \\(i\\) \uff0c\u80fd\u8d21\u732e\u7ed9\u5b83\u7684\u533a\u95f4\u4e3a \\([g_i, \\min\\{k-1,i-c_k\\}]\\) \u3002\u76f4\u63a5\u5728\u7ebf\u6bb5\u6811\u4e0a<strong>\u533a\u95f4\u67e5\u8be2<\/strong>\uff0c\u7136\u540e\u66f4\u65b0\u5373\u53ef\u5373\u53ef\u3002<\/p>\n<p>4\uff0c\\(g_i \\geq k\\) \uff0c\u6ca1\u6709\u80fd\u8d21\u732e\u7ed9 \\(i\\) \u7684\u533a\u95f4\u4e86\uff0c\u9000\u51fa\u3002<\/p>\n<p>\u6309\u7167 CDQ\u5206\u6cbb \u7684\u90a3\u4e00\u5957\uff0c\u9996\u5148\u5e94\u8be5\u5148\u8fdb\u5165 \\([l, k-1]\\) \uff0c\u7136\u540e\u518d\u5904\u7406\u8d21\u732e\uff0c\u6700\u540e\u518d\u8fdb\u5165 \\([k, r]\\) \uff0c\u6240\u4ee5\u5904\u7406\u8d21\u732e\u65f6\u5de6\u533a\u95f4\u7684 DP \u503c\u5df2\u7ecf\u5168\u90e8\u88ab\u6c42\u51fa\u6765 \u5e76\u4e14\u4fdd\u5b58\u5728\u7ebf\u6bb5\u6811\u4e0a\uff0c\u4fdd\u8bc1\u4e86\u4e0a\u9762\u7684\u5206\u7c7b\u8ba8\u8bba\u662f\u6b63\u786e\u7684\u3002<\/p>\n<p>\u73b0\u5728\u6765\u5206\u6790\u4e00\u4e0b\u590d\u6742\u5ea6\u3002<\/p>\n<p>\u5bf9\u4e8e 2 \u64cd\u4f5c\uff0c\u663e\u7136\u6bcf\u4e2a\u5206\u6cbb\u533a\u95f4\u53ea\u4f1a\u51fa\u73b0\u4e00\u79cd\u8fd9\u6837\u7684\u60c5\u51b5\uff0c\u6240\u4ee5\u603b\u65f6\u95f4\u590d\u6742\u5ea6\u4e3a \\(O\\left(n\\log n\\right)\\) \u3002<\/p>\n<p>\u5bf9\u4e8e 3 \u64cd\u4f5c\uff0c\u5bf9\u4e8e\u6bcf\u4e00\u4e2a \\(i \\in [k,r]\\) \u7684\u5206\u6cbb\u5c42\uff0c\u5176 \\([l, k)\\) \u7684\u4ea4\u4e3a\u7a7a\u96c6\uff0c\u5e76\u4e3a\u6574\u4e2a \\([1, i)\\) \u3002\u6545 \\(g_i \\geq l\\) \u4e14 \\(g_i &lt; k\\) \u7684\u60c5\u51b5\u5bf9\u4e8e\u6bcf\u4e2a \\(i\\) \u6700\u591a\u53ea\u4f1a\u51fa\u73b0\u4e00\u6b21\uff0c\u6240\u4ee5\u603b\u65f6\u95f4\u590d\u6742\u5ea6\u4e3a \\(O\\left(n\\log n\\right)\\) \u3002<\/p>\n<p>\u5bf9\u4e8e 1 \u64cd\u4f5c\uff0c\u7531\u4e8e \\(i\\) \u548c \\(j\\) \u90fd\u662f\u5355\u8c03\u53f3\u79fb\u7684\uff0c\u6240\u4ee5\u5355\u6b21\u53ea\u4f1a\u79fb\u52a8 \\(O\\left(\\min\\{k-l, r-k\\}\\right)\\) \uff0c\u6839\u636e\u542f\u53d1\u5f0f\u5408\u5e76\u7684\u90a3\u4e00\u5957\u7406\u8bba\uff0c\u65f6\u95f4\u590d\u6742\u5ea6\u4fdd\u6301\u5728 \\(O\\left(n \\log n\\right)\\) \u3002<\/p>\n<p>\u6240\u4ee5\u5206\u6cbb\u7684\u603b\u65f6\u95f4\u590d\u6742\u5ea6\u4e3a \\(T(n)=T(k)+T(n-k)+\\min\\{n,n-k\\}+\\log n= O\\left(n\\log n\\right)\\) \u3002<\/p>\n<p>\u8fd9\u6837\u5c31\u6210\u529f\u628a\u590d\u6742\u5ea6\u964d\u4e0b\u6765\u4e86\uff0c\u6ce8\u610f<span style=\"font-size: 14px;\"><strong>\u5e38\u6570<\/strong><\/span>\u7684\u8bdd\u5c31\u53ef\u4ee5\u901a\u8fc7\u672c\u9898\u3002<\/p>\n<p>\u9700\u8981\u6ce8\u610f\u7684\u5730\u65b9\uff1a<\/p>\n<p>1\uff0c\u6bd2\u7624\u5361\u7a7a\u95f4\uff0cST \u8868\u5f00\u4e0d\u4e0b\uff0c\u7ebf\u6bb5\u6811\u7ef4\u62a4 \\(c\\) \u533a\u95f4\u6700\u5927\u503c\u7684\u65f6\u5019\u7adf\u7136\u7206\u6808\u4e86\uff0c\u6539\u6210<strong>zkw\u7ebf\u6bb5\u6811<\/strong>\u6216\u8005\u7528<strong>\u7b1b\u5361\u5c14\u6811<\/strong>\u628a\u5206\u6cbb\u6539\u6210\u975e\u9012\u5f52\u7684\u5373\u53ef\u3002<\/p>\n<p>2\uff0c\u6ce8\u610f\uff0c\u8f6c\u79fb\u8d21\u732e\u7684\u65f6\u5019\u7ec4\u6570\u8981 \\(+1\\) <del>\uff08\u6b63\u5e38\u4eba\u90fd\u4e0d\u4f1a\u5fd8\u5427<\/del><\/p>\n<p>3\uff0c\u5728\u5206\u6cbb\u533a\u95f4 \\(l=r\\) \u7684\u65f6\u5019\u9700\u8981\u66f4\u65b0 DP \u503c\u4ee5\u53ca\u7ebf\u6bb5\u6811\uff0c\u6ce8\u610f\u5148\u4ece\u7ebf\u6bb5\u6811\u4e2d\u53d6\u51fa\u6700\u5927\u503c\u6765\u66f4\u65b0 f \u6570\u7ec4\uff0c\u7136\u540e\u518d\u585e\u56de\u7ebf\u6bb5\u6811\u4e2d\u3002\u6ce8\u610f\u8fd9\u91cc\u7684\u5355\u70b9\u4fee\u6539\u4e0d\u80fd\u6253 lazy_tag \uff0c\u5fc5\u987b<strong>\u76f4\u63a5\u4fee\u6539<\/strong>\u53f6\u5b50\u7ed3\u70b9\u7684\u503c\u7136\u540e\u518d PushUp \u4e0a\u6765\uff08\u5426\u5219\u65b9\u6848\u6570\u4f1a\u7b97\u91cd\uff09\uff01<\/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 MOD 1000000007\r\n#define _maxpos(_a_,_b_) (llim[_a_]&gt;llim[_b_]?(_a_):(_b_))\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;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\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\ta=a*10+c-'0',c=getchar();\r\n\treturn a;\r\n}\r\n\r\nstruct _pair\r\n{\r\n\tint first,second;\r\n\tinline _pair operator += (const _pair&amp;o)\r\n\t{\r\n\t\tif(o.first &gt; first)\r\n\t\t\t*this=o;\r\n\t\telse if(o.first == first)\r\n\t\t\t(second += o.second)%=MOD;\r\n\t\treturn *this;\r\n\t}\r\n};\r\ninline _pair _make_pair(int first,int second)\r\n{\r\n\treturn (_pair){first,second};\r\n}\r\n\r\n#define Ls(_o) ((_o)&lt;&lt;1)\r\n#define Rs(_o) (Ls(_o)|1)\r\nint N,lN,llim[1050505],mxvL[3050505];\r\ninline void BuildTreeL()\r\n{\r\n\tfor(lN=1;lN&lt;N;lN&lt;&lt;=1);\r\n\tfor(register int i=lN+1;i&lt;=lN+N;i++)\r\n\t\tmxvL[i]=i-lN;\r\n\tfor(register int i=lN-1;i&gt;=0;i--)\r\n\t\tmxvL[i]=_maxpos(mxvL[Ls(i)],mxvL[Rs(i)]);\r\n}\r\n\r\nint _QretL,QLL,QRL;\r\n\r\n#define QueryTreeL(_l,_r) \\\r\n({ \\\r\n\t_QretL=0; \\\r\n\tfor(register int _s=_l+lN-1,_t=_r+lN+1; _s^_t^1; _s&gt;&gt;=1,_t&gt;&gt;=1) \\\r\n\t{ \\\r\n\t\tif(~_s&amp;1) \\\r\n\t\t\t_QretL=_maxpos(_QretL,mxvL[_s^1]); \\\r\n\t\tif(_t&amp;1) \\\r\n\t\t\t_QretL=_maxpos(_QretL,mxvL[_t^1]); \\\r\n\t} \\\r\n\t_QretL; \\\r\n})\r\n\r\n#define _cmaxans(_a,_b) \\\r\n({ \\\r\n\t(_a) += (_b); \\\r\n})\r\n\r\n_pair f[1050505],_pdef;\r\n_pair mxv[3050505],tag[3050505];\r\nbool tagged[3050505];\r\ninline void BuildTree(register int o,register int l,register int r)\r\n{\r\n\tmxv[o]=tag[o]=_pdef;\r\n\tif(l == r)\r\n\t{\r\n\t\tmxv[o]=f[l];\r\n\t\treturn;\r\n\t}\r\n\tregister int mid=(l+r)&gt;&gt;1;\r\n\tBuildTree(Ls(o),l,mid),BuildTree(Rs(o),mid+1,r);\r\n\t_cmaxans(mxv[o]=mxv[Ls(o)],mxv[Rs(o)]);\r\n}\r\n\r\ninline void PushDown(register int o)\r\n{\r\n\tif(tagged[o])\r\n\t{\r\n\t\ttagged[Ls(o)]=tagged[Rs(o)]=true;\r\n\t\t_cmaxans(mxv[Ls(o)],tag[o]),_cmaxans(tag[Ls(o)],tag[o]),\r\n\t\t_cmaxans(mxv[Rs(o)],tag[o]),_cmaxans(tag[Rs(o)],tag[o]);\r\n\t\ttag[o]=_pdef,tagged[o]=false;\r\n\t}\r\n}\r\n\r\nint ML,MR;\r\n_pair MV;\r\nvoid 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\ttagged[o]=true;\r\n\t\t_cmaxans(tag[o],MV),_cmaxans(mxv[o],MV);\r\n\t\treturn;\r\n\t}\r\n\tPushDown(o);\r\n\tregister int mid=(l+r)&gt;&gt;1;\r\n\tif(ML &lt;= mid)\r\n\t\tModifyTree(Ls(o),l,mid);\r\n\tif(MR &gt; mid)\r\n\t\tModifyTree(Rs(o),mid+1,r);\r\n\t_cmaxans(mxv[o]=mxv[Ls(o)],mxv[Rs(o)]);\r\n}\r\n\r\nint MTPstk[1050],MTPtop,MP;\r\nvoid ModifyTreePoint(register int o,register int l,register int r)\r\n{\r\n\twhile(l != r)\r\n\t{\r\n\t\tMTPstk[++MTPtop]=o;\r\n\t\tPushDown(o);\r\n\t\tregister int mid=(l+r)&gt;&gt;1;\r\n\t\tif(MP &lt;= mid)\r\n\t\t\to=Ls(o),r=mid;\r\n\t\telse\r\n\t\t\to=Rs(o),l=mid+1;\r\n\t}\r\n\tmxv[o]=MV;\r\n\twhile(MTPtop)\r\n\t\to=MTPstk[MTPtop--],_cmaxans(mxv[o]=mxv[Ls(o)],mxv[Rs(o)]);\r\n}\r\n\r\nint QL,QR;\r\n_pair _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_cmaxans(_Qret,mxv[o]);\r\n\t\treturn;\r\n\t}\r\n\tPushDown(o);\r\n\tregister int mid=(l+r)&gt;&gt;1;\r\n\tif(QL &lt;= mid)\r\n\t\t_QueryTree(Ls(o),l,mid);\r\n\tif(QR &gt; mid)\r\n\t\t_QueryTree(Rs(o),mid+1,r);\r\n}\r\n\r\n#define QueryTree(_l,_r) \\\r\n({ \\\r\n\tif(_l &gt; _r) \\\r\n\t\t_Qret=_pdef; \\\r\n\telse \\\r\n\t\t_Qret=_pdef,QL=_l,QR=_r,_QueryTree(1,0,N); \\\r\n\t_Qret;\\\r\n})\r\n\r\nint rlim[1050505],g[1050505];\r\n\r\n#define BinarySearch(__l,__r,__v) \\\r\n({ \\\r\n\tregister int _l=__l,_r=__r; \\\r\n\twhile(_l &lt;= _r) \\\r\n\t{ \\\r\n\t\tregister int _mid=(_l+_r)&gt;&gt;1; \\\r\n\t\tif(g[_mid] &lt; __v) \\\r\n\t\t\t_l=_mid+1; \\\r\n\t\telse \\\r\n\t\t\t_r=_mid-1; \\\r\n\t} \\\r\n\t_l-1; \\\r\n})\r\n\r\nvoid Divide(register int l,register int r)\r\n{\r\n\tif(l &gt; r)\r\n\t\treturn;\r\n\tif(l == r)\r\n\t{\r\n\t\tif(!l)\r\n\t\t\treturn;\r\n\t\tQueryTree(l,l),_cmaxans(f[l],_Qret);\r\n\t\t\/\/ Attention: The value should be REPLACED not just got _cmaxans()!!!\r\n\t\tMP=l,MV=f[l],ModifyTreePoint(1,0,N);\r\n\t\treturn;\r\n\t}\r\n\t\r\n\tregister int k=QueryTreeL(l+1,r);\r\n\tDivide(l,k-1);\r\n\t\r\n\tregister int i=_max(k,llim[k]+l);\r\n\t\r\n\tregister int j=l;\r\n\t_pair tans=_pdef;\r\n\twhile(i&lt;=r &amp;&amp; g[i]&lt;l &amp;&amp; i-k&lt;llim[k])\r\n\t{\r\n\t\twhile(j&lt;k &amp;&amp; i-j&gt;=llim[k])\r\n\t\t\t_cmaxans(tans,f[j]),j++;\r\n\t\t_cmaxans(f[i],_make_pair(tans.first+1,tans.second));\r\n\t\ti++;\r\n\t}\r\n\t\r\n\tif(i&lt;=r &amp;&amp; g[i]&lt;l &amp;&amp; i-k&gt;=llim[k])\r\n\t{\r\n\t\tregister int pos=BinarySearch(i,r,l);\r\n\t\ttans=QueryTree(l,k-1);\r\n\t\tML=i,MR=pos,MV=_make_pair(tans.first+1,tans.second),ModifyTree(1,0,N);\r\n\t\ti=pos+1;\r\n\t}\r\n\t\r\n\twhile(i&lt;=r &amp;&amp; g[i]&gt;=l &amp;&amp; g[i]&lt;k)\r\n\t{\r\n\t\ttans=QueryTree(g[i],_min(k-1,i-llim[k]));\r\n\t\t_cmaxans(f[i],_make_pair(tans.first+1,tans.second));\r\n\t\ti++;\r\n\t}\r\n\t\r\n\tDivide(k,r);\r\n}\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\tllim[i]=getnum(),rlim[i]=getnum();\r\n\t\r\n\tstatic int lst[1050505];\r\n\tregister int front=0,rear=0,j=0;\r\n\tfor(register int i=1;i&lt;=N;i++)\r\n\t{\r\n\t\twhile(front &lt; rear &amp;&amp; rlim[lst[rear-1]] &gt;= rlim[i])\r\n\t\t\trear--;\r\n\t\tlst[rear++]=i;\r\n\t\twhile(front &lt; rear &amp;&amp; i-j &gt; rlim[lst[front]])\r\n\t\t{\r\n\t\t\tj++;\r\n\t\t\twhile(front &lt; rear &amp;&amp; lst[front] &lt;= j)\r\n\t\t\t\tfront++;\r\n\t\t}\r\n\t\tg[i]=j;\r\n\t}\r\n\t\r\n\tf[0]=_make_pair(0,1);\r\n\t_pdef=_make_pair(INT_MIN,0);\r\n\tfor(register int i=1;i&lt;=N;i++)\r\n\t\tf[i]=_pdef;\r\n\tBuildTreeL();\r\n\t\r\n\tBuildTree(1,0,N);\r\n\tDivide(0,N);\r\n\tif(f[N].first &lt; 0)\r\n\t\tprintf(\"%d\\n\",-1);\r\n\telse\r\n\t\tprintf(\"%d %d\\n\",f[N].first,f[N].second);\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 P2905 [PA2014]Druzyny \u65f6\u95f4\u9650\u5236\uff1a1000MS \u00a0\u00a0\u00a0\u00a0 \u5185\u5b58\u9650\u5236\uff1a131072 &hellip; <a href=\"https:\/\/0.mnihyc.com\/blog\/archives\/1187\" class=\"more-link\">\u7ee7\u7eed\u9605\u8bfb<span class=\"screen-reader-text\">YZOJ P2905 [PA2014]Druzyny<\/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":[37,64,63,30,46],"tags":[],"class_list":["post-1187","post","type-post","status-publish","format-standard","hentry","category-crazya","category-cdqdivide","category-bindivide","category-otherdp","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 P2905 [PA2014]Druzyny - mnihyc&#039;s Blog<\/title>\n<meta name=\"description\" content=\"YZOJ P2905 Druzyny \u65f6\u95f4\u9650\u5236\uff1a1000MS \u00a0\u00a0\u00a0\u00a0 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