{"id":1780,"date":"2021-10-06T18:35:22","date_gmt":"2021-10-06T10:35:22","guid":{"rendered":"http:\/\/www.shuizilong.com\/house\/?p=1780"},"modified":"2022-11-17T05:31:33","modified_gmt":"2022-11-16T21:31:33","slug":"icpc-world-final-2020","status":"publish","type":"post","link":"https:\/\/www.shuizilong.com\/house\/archives\/icpc-world-final-2020\/","title":{"rendered":"ICPC World Final 2020"},"content":{"rendered":"<h1><span class=\"ez-toc-section\" id=\"%E4%BC%A0%E9%80%81%E9%97%A8\"><\/span>\u4f20\u9001\u95e8<span class=\"ez-toc-section-end\"><\/span><\/h1>\n<p><a href=\"https:\/\/icpc.kattis.com\/problem-sources\/ICPC%20World%20Finals%202020\">\u63d0\u4ea4\u5730\u5740<\/a><\/p>\n<div id=\"ez-toc-container\" class=\"ez-toc-v2_0_65 counter-hierarchy ez-toc-counter ez-toc-grey ez-toc-container-direction\">\n<p class=\"ez-toc-title\">Table of Contents<\/p>\n<label for=\"ez-toc-cssicon-toggle-item-69f2c4bed4750\" class=\"ez-toc-cssicon-toggle-label\"><span class=\"\"><span class=\"eztoc-hide\" style=\"display:none;\">Toggle<\/span><span class=\"ez-toc-icon-toggle-span\"><svg style=\"fill: #999;color:#999\" xmlns=\"http:\/\/www.w3.org\/2000\/svg\" class=\"list-377408\" width=\"20px\" height=\"20px\" viewBox=\"0 0 24 24\" fill=\"none\"><path d=\"M6 6H4v2h2V6zm14 0H8v2h12V6zM4 11h2v2H4v-2zm16 0H8v2h12v-2zM4 16h2v2H4v-2zm16 0H8v2h12v-2z\" fill=\"currentColor\"><\/path><\/svg><svg style=\"fill: #999;color:#999\" class=\"arrow-unsorted-368013\" xmlns=\"http:\/\/www.w3.org\/2000\/svg\" width=\"10px\" height=\"10px\" viewBox=\"0 0 24 24\" version=\"1.2\" baseProfile=\"tiny\"><path d=\"M18.2 9.3l-6.2-6.3-6.2 6.3c-.2.2-.3.4-.3.7s.1.5.3.7c.2.2.4.3.7.3h11c.3 0 .5-.1.7-.3.2-.2.3-.5.3-.7s-.1-.5-.3-.7zM5.8 14.7l6.2 6.3 6.2-6.3c.2-.2.3-.5.3-.7s-.1-.5-.3-.7c-.2-.2-.4-.3-.7-.3h-11c-.3 0-.5.1-.7.3-.2.2-.3.5-.3.7s.1.5.3.7z\"\/><\/svg><\/span><\/span><\/label><input type=\"checkbox\"  id=\"ez-toc-cssicon-toggle-item-69f2c4bed4750\"  aria-label=\"Toggle\" \/><nav><ul class='ez-toc-list ez-toc-list-level-1 ' ><li class='ez-toc-page-1 ez-toc-heading-level-1'><a class=\"ez-toc-link ez-toc-heading-1\" href=\"https:\/\/www.shuizilong.com\/house\/archives\/icpc-world-final-2020\/#%E4%BC%A0%E9%80%81%E9%97%A8\" title=\"\u4f20\u9001\u95e8\">\u4f20\u9001\u95e8<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-1'><a class=\"ez-toc-link ez-toc-heading-2\" href=\"https:\/\/www.shuizilong.com\/house\/archives\/icpc-world-final-2020\/#Problem_C_Domes\" title=\"Problem C. Domes\">Problem C. Domes<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-1'><a class=\"ez-toc-link ez-toc-heading-3\" href=\"https:\/\/www.shuizilong.com\/house\/archives\/icpc-world-final-2020\/#Problem_E_Landscape_Generator\" title=\"Problem E. Landscape Generator\">Problem E. Landscape Generator<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-1'><a class=\"ez-toc-link ez-toc-heading-4\" href=\"https:\/\/www.shuizilong.com\/house\/archives\/icpc-world-final-2020\/#Problem_G_Opportunity_Cost\" title=\"Problem G. Opportunity Cost\">Problem G. Opportunity Cost<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-1'><a class=\"ez-toc-link ez-toc-heading-5\" href=\"https:\/\/www.shuizilong.com\/house\/archives\/icpc-world-final-2020\/#Problem_O_Which_Planet_is_This\" title=\"Problem O. Which Planet is This?!\">Problem O. Which Planet is This?!<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-1'><a class=\"ez-toc-link ez-toc-heading-6\" href=\"https:\/\/www.shuizilong.com\/house\/archives\/icpc-world-final-2020\/#Problem_D_Gene_Folding\" title=\"Problem D. Gene Folding\">Problem D. Gene Folding<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-1'><a class=\"ez-toc-link ez-toc-heading-7\" href=\"https:\/\/www.shuizilong.com\/house\/archives\/icpc-world-final-2020\/#Problem_I_Quests\" title=\"Problem I. Quests\">Problem I. Quests<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-1'><a class=\"ez-toc-link ez-toc-heading-8\" href=\"https:\/\/www.shuizilong.com\/house\/archives\/icpc-world-final-2020\/#Problem_F_Ley_Lines\" title=\"Problem F. Ley Lines\">Problem F. Ley Lines<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-1'><a class=\"ez-toc-link ez-toc-heading-9\" href=\"https:\/\/www.shuizilong.com\/house\/archives\/icpc-world-final-2020\/#Problem_J_%E2%80%98S_No_Problem\" title=\"Problem J. &#8216;S No Problem\">Problem J. &#8216;S No Problem<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-1'><a class=\"ez-toc-link ez-toc-heading-10\" href=\"https:\/\/www.shuizilong.com\/house\/archives\/icpc-world-final-2020\/#Problem_B_The_Cost_of_Speed_Limits\" title=\"Problem B. The Cost of Speed Limits\">Problem B. The Cost of Speed Limits<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-1'><a class=\"ez-toc-link ez-toc-heading-11\" href=\"https:\/\/www.shuizilong.com\/house\/archives\/icpc-world-final-2020\/#Problem_A_Cardiology\" title=\"Problem A. Cardiology\">Problem A. Cardiology<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-1'><a class=\"ez-toc-link ez-toc-heading-12\" href=\"https:\/\/www.shuizilong.com\/house\/archives\/icpc-world-final-2020\/#Problem_M_Trailing_Digits\" title=\"Problem M. Trailing Digits\">Problem M. Trailing Digits<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-1'><a class=\"ez-toc-link ez-toc-heading-13\" href=\"https:\/\/www.shuizilong.com\/house\/archives\/icpc-world-final-2020\/#Problem_H_QC_QC\" title=\"Problem H. QC QC\">Problem H. QC QC<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-1'><a class=\"ez-toc-link ez-toc-heading-14\" href=\"https:\/\/www.shuizilong.com\/house\/archives\/icpc-world-final-2020\/#Problem_N_Whats_Our_Vector_Victor\" title=\"Problem N. What&#8217;s Our Vector, Victor?\">Problem N. What&#8217;s Our Vector, Victor?<\/a><\/li><\/ul><\/nav><\/div>\n\n<p>\u56e0\u4e3a\u75ab\u60c5\u539f\u56e0\uff0c<del>\u4eca\u5e74<\/del>\u53bb\u5e74\u7684 Final Adpot \u4e86\u300c\u5b81\u7406\u89c4\u5219\u300d\uff0c\u53d8\u6210\u4e86 15 \u4e2a\u9898\u4e09\u4eba\u4e09\u673a\u3002\u3002\u3002<br \/>\n\u9884\u611f\u8da3\u5473\u6027\u548c\u7b56\u7565\u6027\u53ef\u80fd\u4f1a\u964d\u4f4e\u597d\u591a\uff0c<a href=\"https:\/\/codeforces.com\/blog\/entry\/94690\">\u867d\u7136 CF \u4e0a\u6709\u7ea2\u540d\u5927\u4f6c\u51fa\u6765\u5021\u8bae\u53cd\u5bf9\u8fd9\u4e2a\u89c4\u5219<\/a>\uff0c\u4e0d\u8fc7\u597d\u50cf\u5e76\u4e0d\u4f1a\u6539\u53d8\u4ec0\u4e48\u3002\u3002\u3002\uff08BTW\uff0c\u7ed3\u679c\u8fd9\u4e2a\u9898\u4e3b\u672c\u5c4a World Final \u76f4\u63a5 win \u4e86\uff0c\u53ef\u89c1\u4ed6\u662f\u771f\u7684\u5173\u5fc3\u8fd9\u4e2a\u6bd4\u8d5b\u3002\u3002\u3002\uff09<\/p>\n<p>\u4e8b\u5b9e\u4e5f\u786e\u5b9e\u5982\u6b64\uff0c\u611f\u89c9\u9898\u76ee\u96be\u5ea6\u4e5f\u6bd4\u524d\u51e0\u5929\u7684\u83ab\u65af\u79d1\u9080\u8bf7\u8d5b\u964d\u4f4e\u4e86\u597d\u591a\u3002\u3002\u53d8\u6210\u624b\u901f round \u4e86\u3002\u3002\u3002<br \/>\n(\u636e\u8bf4\u8fd9\u573a 8 \u4e2a\u9898\u624d\u7b97\u7b7e\u5230\u3002\u3002\u53ef\u6015\u3002\u3002\u3002)<\/p>\n<p>\u4ee5\u4e0b\u6309\u7167\u6211\u8ba4\u4e3a\u7684\u96be\u5ea6\u6392\u5e8f\u3002\u3002\u3002<\/p>\n<h1><span class=\"ez-toc-section\" id=\"Problem_C_Domes\"><\/span>Problem C. Domes<span class=\"ez-toc-section-end\"><\/span><\/h1>\n<p>\u534a\u5e73\u9762\u4ea4\u6a21\u677f\u9898\u3002<\/p>\n<h1><span class=\"ez-toc-section\" id=\"Problem_E_Landscape_Generator\"><\/span>Problem E. Landscape Generator<span class=\"ez-toc-section-end\"><\/span><\/h1>\n<p>\u533a\u95f4\u52a0\u51cf\u7b49\u5dee\u6570\u5217\uff0c\u5355\u70b9\u8be2\u95ee\u3002<br \/>\n\u663e\u7136\u53ef\u4ee5\u7ebf\u6bb5\u6811\uff0c\u4e0d\u8fc7\u8fd9\u79cd\u53ea\u5728\u6700\u540e\u8be2\u95ee\u4e00\u6b21\u7684\u8bdd\u7528\u5dee\u5206+\u90e8\u5206\u548c\u6280\u5de7\u5c31\u53ef\u4ee5\uff0c\u7b7e\u5230\u9898\uff01<\/p>\n<h1><span class=\"ez-toc-section\" id=\"Problem_G_Opportunity_Cost\"><\/span>Problem G. Opportunity Cost<span class=\"ez-toc-section-end\"><\/span><\/h1>\n<p>\u5047\u8bbe\u6ca1\u6709 max 0 \u8fd9\u4e2a\u64cd\u4f5c\uff0c\u90a3\u4e48\u53ef\u4ee5 O(n) \u626b\u8fc7\u53bb\u3002<br \/>\n\u8fdb\u4e00\u6b65\u89c2\u5bdf\uff0c\u6211\u4eec\u679a\u4e3e shadow \u6389\u54ea\u4e9b\u7ef4\u5373\u53ef\uff0c\u6700\u5927\u503c\u4e0d\u53d8\u3002<\/p>\n<h1><span class=\"ez-toc-section\" id=\"Problem_O_Which_Planet_is_This\"><\/span>Problem O. Which Planet is This?!<span class=\"ez-toc-section-end\"><\/span><\/h1>\n<p>\u5206\u522b\u5904\u7406\u6bcf\u4e2a\u7eac\u5ea6\uff0c\u5dee\u5206\u4e4b\u540e\u8f6c\u6362\u6210\u5b57\u7b26\u4e32\u95ee\u9898\uff0cKMP \u51fa\u6240\u6709\u5339\u914d\u4f4d\u7f6e\u5f97\u5230\u6240\u6709\u5408\u6cd5\u4f4d\u79fb\u3002<br \/>\n\u5224\u65ad\u6bcf\u4e2a\u7eac\u5ea6\u7684\u5408\u6cd5\u4f4d\u79fb\u4ea4\u96c6\u662f\u5426\u4e3a\u7a7a\u5373\u53ef\uff0c\u8fd9\u79cd\u770b\u8d77\u6765\u65f6\u51e0\u4f55\u7684\u9898\u6700\u540e\u53d1\u73b0\u53ef\u4ee5\u7528\u5b57\u7b26\u4e32\u7b97\u6cd5\u901a\u8fc7\u7684\u9898\u76ee\u8fd8\u662f\u5f88\u6709\u8da3\u7684\uff0c\u53c2\u89c1 <a href=\"https:\/\/vjudge.net\/problem\/HDU-3918\">HDU 3918<\/a>\u3002\u3002<\/p>\n<h1><span class=\"ez-toc-section\" id=\"Problem_D_Gene_Folding\"><\/span>Problem D. Gene Folding<span class=\"ez-toc-section-end\"><\/span><\/h1>\n<p>\u6211\u4eec\u53ef\u4ee5 dp \u51fa i \u4f4d\u7f6e\u5411\u5de6\u548c\u5411\u53f3\u6700\u5927\u53ef\u4ee5\u6298\u53e0\u6389\u591a\u5c11\u4f4d\u7f6e\u3002<br \/>\n\uff08\u5c31\u50cf\u662f\u6211\u4eec\u5728\u6700\u4f18\u5b50\u77e9\u5f62\u91cc\uff0c\u7528\u5355\u8c03\u6808\u5904\u7406\u51fa\u4ee5 i \u4f4d\u7f6e\u4e3a\u6700\u5c0f\u503c\uff0c\u5411\u5de6\u548c\u5411\u53f3\u6700\u8fdc\u53ef\u4ee5\u5ef6\u4f38\u5230\u54ea\u91cc\u4e00\u6837\uff09<br \/>\n\u8fd9\u4e2a\u9700\u8981\u6211\u4eec\u5148\u9884\u5904\u7406\u51fa\u6bcf\u4e2a\u4f4d\u7f6e\u7684\u56de\u6587\u534a\u5f84\uff0cManacher \u6216\u8005 \u5b57\u7b26\u4e32 hash \u5747\u53ef\u3002<\/p>\n<h1><span class=\"ez-toc-section\" id=\"Problem_I_Quests\"><\/span>Problem I. Quests<span class=\"ez-toc-section-end\"><\/span><\/h1>\n<p>\u95ee\u9898\u7b49\u4ef7\u4e8e\u6c42\u51fa\u6700\u591a\u6709\u591a\u5c11 xp \u53ef\u4ee5\u83b7\u5f97 bonus\u3002<br \/>\n\u7531\u4e8e\u503c\u57df\u4e0d\u5927\uff0c\u8003\u8651\u66b4\u529b 01 \u80cc\u5305\u3002<\/p>\n<p>\u6211\u4eec\u53ea\u9700\u8981\u5bf9\u6bcf\u4e2a\u7269\u54c1\uff0c\u9884\u5904\u7406\u51fa\u5982\u679c\u8981\u53d6\u5230\u5b83\u7684\u8bdd\uff0c\u6700\u5927\u53ef\u80fd\u7684\u80cc\u5305\u5bb9\u91cf\u662f\u591a\u5c11\u3002<br \/>\n\u6211\u4eec\u6839\u636e\u8fd9\u4e2a\u503c\u4ece\u5c0f\u5230\u5927\u4f9d\u6b21\u5904\u7406\u6bcf\u4e2a\u7269\u54c1\u5373\u53ef\u3002<\/p>\n<h1><span class=\"ez-toc-section\" id=\"Problem_F_Ley_Lines\"><\/span>Problem F. Ley Lines<span class=\"ez-toc-section-end\"><\/span><\/h1>\n<p>\u5e73\u9762\u4e0a\u6709 n \u4e2a\u70b9\uff0c\u7528\u4e00\u6761\u5bbd\u5ea6\u4e3a r \u7684\u76f4\u7ebf\uff0c\u6700\u591a\u53ef\u4ee5\u8986\u76d6\u591a\u5c11\u70b9\u3002<br \/>\n\u53ef\u4ee5 O(n2) \u679a\u4e3e\u76f4\u7ebf\uff0c\u7136\u540e\u518d\u5bf9\u6bcf\u4e2a\u70b9\u6c42\u51fa\u5408\u6cd5\u504f\u79fb\u91cf\u7684\u533a\u95f4\uff0c\u5bf9\u6bcf\u4e2a\u533a\u95f4\u5206\u6210 +1 -1 \u4e24\u4e2a\u4e8b\u4ef6\uff0c\u6392\u5e8f\u540e\u626b\u4e00\u904d\u5373\u53ef\uff0c\u4e0d\u8fc7\u590d\u6742\u5ea6 O(n3)\uff0c<br \/>\n\u8fdb\u4e00\u6b65\u8003\u8651\uff0c\u4e00\u5b9a\u5b58\u5728\u4e00\u7ec4\u89e3\uff0c\u4f7f\u5f97\u67d0\u4e2a\u70b9\u5728\u7b14\u5237\u7684\u8fb9\u754c\u4e0a\uff0c\u56e0\u6b64\u6211\u4eec O(n) \u679a\u4e3e\u4e2d\u5fc3\uff0c\u7136\u540e\u7528\u7c7b\u4f3c <a href=\"https:\/\/www.shuizilong.com\/house\/archives\/zoj-3379-master-spark\/\">Master Spark<\/a> \u91cc\u6781\u89d2\u6392\u5e8f\u7684\u65b9\u6cd5\u5904\u7406\u5373\u53ef\u3002<\/p>\n<p>\u611f\u89c9\u8fd9\u91cc\u9700\u8981\u753b\u56fe\u3002<\/p>\n<p><a href=\"https:\/\/www.shuizilong.com\/house\/wp-content\/uploads\/2021\/10\/alpha_beta.png\"><img decoding=\"async\" data-attachment-id=\"1782\" data-permalink=\"https:\/\/www.shuizilong.com\/house\/archives\/icpc-world-final-2020\/alpha_beta\/\" data-orig-file=\"https:\/\/www.shuizilong.com\/house\/wp-content\/uploads\/2021\/10\/alpha_beta.png\" data-orig-size=\"916,811\" data-comments-opened=\"1\" data-image-meta=\"{&quot;aperture&quot;:&quot;0&quot;,&quot;credit&quot;:&quot;&quot;,&quot;camera&quot;:&quot;&quot;,&quot;caption&quot;:&quot;&quot;,&quot;created_timestamp&quot;:&quot;0&quot;,&quot;copyright&quot;:&quot;&quot;,&quot;focal_length&quot;:&quot;0&quot;,&quot;iso&quot;:&quot;0&quot;,&quot;shutter_speed&quot;:&quot;0&quot;,&quot;title&quot;:&quot;&quot;,&quot;orientation&quot;:&quot;0&quot;}\" data-image-title=\"alpha_beta\" data-image-description=\"\" data-image-caption=\"\" data-medium-file=\"https:\/\/www.shuizilong.com\/house\/wp-content\/uploads\/2021\/10\/alpha_beta.png\" data-large-file=\"https:\/\/www.shuizilong.com\/house\/wp-content\/uploads\/2021\/10\/alpha_beta.png\" src=\"https:\/\/www.shuizilong.com\/house\/wp-content\/uploads\/2021\/10\/alpha_beta.png\" alt=\"\" width=\"33%\"  class=\"aligncenter size-full wp-image-1782\" \/><\/a><\/p>\n<p>\u4ee5\u5f53\u524d\u679a\u4e3e\u7684\u65cb\u8f6c\u4e2d\u5fc3\u4e3a O\uff0c\u76ee\u6807\u70b9\u4e3a P\uff0c\u5411\u91cf OP \u7684\u957f\u5ea6\u4e3a d\uff0c\u7b14\u5237\u534a\u5f84\u4e3a r\u3002<br \/>\n\u521d\u59cb\u89d2\u5ea6 \u4e3a -PI \u65f6\uff0c\u7b14\u5237\u4e0b\u8fb9\u754c\u5728 x \u8f74\uff0c\u8bbe\u5f53\u524d\u5411\u91cf\u7684\u8f90\u89d2\u4e3a alpha\uff0c\u4e2d\u95f4\u4e09\u89d2\u5f62\u7684\u5939\u89d2\u4e3a beta\u3002<br \/>\n\u90a3\u4e48 P \u70b9\u4f1a\u88ab\u8986\u76d6\u7684\u533a\u95f4\u4e3a [alpha, alpha+beta] \u548c [alpha+PI-beta, alpha+PI]\u3002<br \/>\n\u5982\u679c d &lt;= r\uff0c\u90a3\u4e48 beta \u4e0d\u5b58\u5728\uff0c\u53ea\u9700\u8981\u8003\u8651 [alpha, alpha+PI]\u3002<\/p>\n<p>\u7136\u540e\u56e0\u4e3a\u5bf9\u79f0\u6027\uff0c\u6211\u4eec\u5176\u5b9e\u53ea\u9700\u8981\u626b\u534a\u4e2a\u5706\uff0c\u6bd4\u5982 [0, PI] \u8fd9\u4e2a\u533a\u95f4\uff0c\u6240\u4ee5\u5728\u8fd9\u4e2a\u9898\u91cc\u4e0d\u62c6\u73af\u4e5f\u662f ok \u7684\u3002\u3002\u3002<br \/>\n\u6700\u540e\u4e3b\u7a0b\u5e8f\u975e\u5e38\u77ed &#8230;<\/p>\n<pre class=\"brush: cpp; light: false; title: ; toolbar: true; notranslate\" title=\"\">\r\nconst int N = int(3e3) + 9;\r\nPo P&#x5B;N];\r\nint n, r;\r\n\r\nint main(){\r\n\r\n#ifndef ONLINE_JUDGE\r\n    \/\/freopen(&quot;in.txt&quot;, &quot;r&quot;, stdin);\r\n    \/\/freopen(&quot;\/Users\/minakokojima\/Documents\/GitHub\/ACM-Training\/Workspace\/out.txt&quot;, &quot;w&quot;, stdout);\r\n#endif\r\n\r\n    RD(n, r); REP(i, n) P&#x5B;i].in();\r\n\r\n    int z = 2; REP(a, n) {\r\n        vector&lt;pair&lt;DB, int&gt;&gt; E;\r\n        int s = 1; REP(b, n) if (b != a){\r\n            Po v = P&#x5B;b] - P&#x5B;a]; DB d = v.len();\r\n            DB a = v.arg();\r\n            E.PB({a, 1}); E.PB({a + PI, -1});\r\n            if (d &gt; r) {\r\n                DB b = asin(r\/d);\r\n                E.PB({a + b, -1});\r\n                E.PB({a + PI - b, 1});\r\n            }\r\n        }\r\n        SRT(E); for (auto e: E) checkMax(z, s += e.se);\r\n    }\r\n    cout &lt;&lt; z &lt;&lt; endl;\r\n}\r\n<\/pre>\n<h1><span class=\"ez-toc-section\" id=\"Problem_J_%E2%80%98S_No_Problem\"><\/span>Problem J. &#8216;S No Problem<span class=\"ez-toc-section-end\"><\/span><\/h1>\n<p>\u6811\u5f62 DP\uff0c\u6bd4 <a href=\"http:\/\/hihocoder.com\/contest\/challenge1\/problems\">\u6211\u51fa\u7684\u90a3\u4e2a\u9898<\/a> \u7b80\u5355\u591a\u4e86\u3002<br \/>\n\u663e\u7136\u5982\u679c\u53ea\u6709\u4e00\u6761\u8def\u5f84\u7684\u8bdd\u662f\u4e2a\u7ecf\u5178\u9898\uff0c\u4e0d\u59a8\u8ba8\u8bba\uff0c\u5982\u679c\u6709 k \u6761\u8def\u5f84\u7684\u8bdd\u53ef\u4ee5\u505a\u5417\uff1f<br \/>\n\u6211\u4eec\u53d1\u73b0\u5176\u5b9e\u662f\u4e2a\u6811\u4e0a\u80cc\u5305\u3002<br \/>\ndp[u][2][5] \u8868\u793a\u5f53\u524d\u8282\u70b9\u7684\u5947\u5076\u6027\uff0c\u4ee5\u53ca\u5b50\u6811\u4e2d\u4e00\u5171\u51fa\u73b0\u4e86\u591a\u5c11\u8def\u5f84\u7684\u7aef\u70b9\uff0c\u7b80\u5355\u8f6c\u79fb\u5373\u53ef\u3002<\/p>\n<h1><span class=\"ez-toc-section\" id=\"Problem_B_The_Cost_of_Speed_Limits\"><\/span>Problem B. The Cost of Speed Limits<span class=\"ez-toc-section-end\"><\/span><\/h1>\n<p>\u7ed9\u5b9a\u4e00\u4e2a\u8fb9\u6743\u65e0\u5411\u56fe\uff0c\u5bf9\u4e8e\u67d0\u4e2a\u8282\u70b9\uff0c\u5982\u679c\u5176\u76f8\u90bb\u7684\u8fb9\u91cc\u6709\u6743\u503c\u4e0d\u4e00\u6837\u7684\u8fb9\uff0c<br \/>\n\u90a3\u4e48\u9700\u8981\u5728\u8fd9\u4e2a\u70b9\u4e0a\u5bf9\u6bcf\u4e00\u6761\u51fa\u53d1\u7684\u8fb9\u90fd\u8bbe\u7f6e\u4e00\u4e2a\u9650\u901f\u6807\u724c\u3002<\/p>\n<p>\u6bcf\u4e2a\u9650\u901f\u6807\u724c\u7684\u4ee3\u4ef7\u4e3a c\uff0c\u589e\u52a0\u67d0\u6761\u8fb9\u7684\u5355\u4f4d\u6743\u503c\u7684\u4ee3\u4ef7\u4e3a 1\u3002<br \/>\n\u95ee\u5982\u4f55\u4fee\u6539\u8fd9\u5f20\u56fe\uff0c\u4f7f\u5f97\u603b\u4ee3\u4ef7\u6700\u5c11\u3002<\/p>\n<p>\u53e6\u4e00\u4e2a\u6811\u5f62 dp\uff01<br \/>\n\u9898\u76ee\u5176\u5b9e\u8fd8\u4e0d\u9519\uff0c\u4f46\u662f\u6570\u636e\u8303\u56f4\u975e\u5e38\u8ff7\uff0c\u8c8c\u4f3c\u5927\u5bb6\u90fd\u662f O(n2) \u7206\u8fc7\u53bb\u7684\u3002\u3002\u3002<br \/>\n\u603b\u4e4b\u8fd9\u4e2a\u9898\u4e89\u8bae\u6bd4\u8f83\u5927\uff0c<a href=\"https:\/\/codeforces.com\/blog\/entry\/95641?#comment-847855\">\u53c2\u89c1 maroonrk \u7684\u5410\u69fd<\/a>\u3002<\/p>\n<p>\u2014\u2014\u2014\u2014\u2014\u2014\u2014\u2014<\/p>\n<p>dp[u][i] \u8868\u793a\u5c06\u8fd9\u4e2a\u8282\u70b9\u76f8\u90bb\u7684\u8fb9\u5168\u90e8\u4fee\u6539\u6210 i \u7684\u4ee3\u4ef7\uff0c<br \/>\nsign[u] \u8868\u793a\u6240\u6709\u76f8\u90bb\u8282\u70b9\u9632\u6b62\u9650\u901f\u724c\u7684\u4ee3\u4ef7\uff0c<br \/>\nbest[u] \u8868\u793a\u6240\u6709 dp[u] \u548c sign[u] \u7684\u6700\u5c0f\u503c\u3002<\/p>\n<p>\u90a3\u4e48\u8f6c\u79fb\u65b9\u7a0b\u6709\uff1a<br \/>\nsign[u] = c*SZ(adj[u]) + \\sum best[v]<br \/>\ndp[u][i] = \\sum min(sign[v] + \u4fee\u6539\u5230 v \u7684\u8fb9\u6743, dp[v][i]) + \u4fee\u6539\u5230 p \u7684\u8fb9\u6743<\/p>\n<p>\u79bb\u6563\u5316\u6389\u7b2c\u4e8c\u7ef4\uff0c\u8f93\u51fa best[1] \u5373\u53ef\uff0c\u590d\u6742\u5ea6 O(n2)\uff0c\u6ce8\u610f\u5e38\u6570\u53ef\u8fc7\u3002<\/p>\n<h1><span class=\"ez-toc-section\" id=\"Problem_A_Cardiology\"><\/span>Problem A. Cardiology<span class=\"ez-toc-section-end\"><\/span><\/h1>\n<p>\u8c8c\u4f3c\u662f\u7b80\u5355\u9898\uff0c\u4f46\u662f\u6211\u8bfb\u4e0d\u61c2\u9898\u610f\u3002\u3002\u3002\u3002<\/p>\n<h1><span class=\"ez-toc-section\" id=\"Problem_M_Trailing_Digits\"><\/span>Problem M. Trailing Digits<span class=\"ez-toc-section-end\"><\/span><\/h1>\n<p>\u7ed9\u5b9a b,d,a\uff0c\u6c42 nb &lt;= a\uff0c\u4f7f\u5f97 nb \u672b\u5c3e\u7684\u6570\u5b57 d \u6700\u591a\u3002<\/p>\n<p>\u4e0d\u4f1a\u3002\u3002\u3002<\/p>\n<h1><span class=\"ez-toc-section\" id=\"Problem_H_QC_QC\"><\/span>Problem H. QC QC<span class=\"ez-toc-section-end\"><\/span><\/h1>\n<p>\u4ea4\u4e92\u5f0f\u95ee\u9898\uff0c\u975e\u5e38\u7ecf\u5178\u7684\u6d4b\u8c0e\u95ee\u9898\u3002<br \/>\n\u6709 n \u4e2a\u4eba\uff0c\u5176\u4e2d\u4e00\u4e9b\u4eba\u662f\u597d\u4eba\uff0c\u4e00\u4e9b\u4eba\u662f\u574f\u4eba\uff0c\u5e76\u4e14\u6bcf\u4e2a\u4eba\u90fd\u77e5\u9053\u6240\u6709\u4eba\u5206\u522b\u662f\u597d\u4eba\u8fd8\u662f\u574f\u4eba\u3002<br \/>\n\u4f60\u53ef\u4ee5\u8be2\u95ee\u67d0\u4e2a\u4eba\uff0c\u53e6\u4e00\u4e2a\u4eba\u662f\u597d\u4eba\u8fd8\u662f\u574f\u4eba\uff0c\u597d\u4eba\u603b\u662f\u4f1a\u544a\u8bc9\u4f60\u771f\u5b9e\u4fe1\u606f\uff0c\u574f\u4eba\u53ef\u4ee5\u8bf4\u8c0e\u3002<br \/>\n\u7528\u6700\u5c11\u7684\u8be2\u95ee\u533a\u5206\u597d\u4eba\u548c\u574f\u4eba\u3002<\/p>\n<p><a href=\"https:\/\/atcoder.jp\/contests\/arc070\/tasks\/arc070_d\">atcoder \u4e5f\u51fa\u8fc7\u4e00\u4e2a\u7248\u672c<\/a>\uff0c<br \/>\n\u90a3\u4e2a\u9898\u91cc n &lt;= 2000\uff0c\u4f60\u81f3\u591a\u53ef\u4ee5\u8be2\u95ee 2n \u6b21\u3002<br \/>\n\u8fd9\u4e2a\u9898\u91cc\uff0cn &lt;= 100\uff0c\u4f60\u81f3\u591a\u53ef\u4ee5\u8be2\u95ee 12 \u8f6e\uff0c\u6bcf\u8f6e\u6b21\uff0c\u4f60\u9700\u8981\u95ee\u6240\u6709\u4eba\u4e00\u6b21\u95ee\u9898\u3002\u3002\u3002<\/p>\n<p>\u9996\u5148\u5982\u679c\u574f\u4eba >= \u597d\u4eba\u90a3\u4e48\u65e0\u89e3\uff0c\u56e0\u4e3a\u574f\u4eba\u53ef\u4ee5\u7ed1\u7968\u4f2a\u88c5\u6210\u597d\u4eba\u7136\u540e\u53cd\u54ac\u3002<br \/>\n\u5426\u5219\u80af\u5b9a\u6709\u89e3\uff0c\u56e0\u4e3a\u5982\u679c\u5bf9\u6240\u6709\u4eba\u95ee\u4e00\u6b21\u540c\u4e00\u4e2a\u4eba\uff0c\u5982\u679c\u6709\u8d85\u8fc7\u534a\u6570\u7684\u4eba\u8ba4\u4e3a\u5b83\u662f\u597d\u4eba\uff0c\u90a3\u4e48\u5b83\u4e00\u5b9a\u662f\u597d\u4eba\u3002<br \/>\n\u63a5\u7740\u95ee\u8fd9\u4e2a\u597d\u4eba\u5c31\u53ef\u4ee5\u4e86\u3002\u4e0d\u8fc7\u8fd9\u6837\u8be2\u95ee\u6b21\u6570\u53ef\u80fd\u662f n2\/2 \u6b21\u3002<\/p>\n<p>\u600e\u4e48\u6837\u5728 O(n) \u6b21\u8be2\u95ee\u91cc\u627e\u5230\u4e00\u4e2a\u597d\u4eba\u5462\u3002\u3002\u3002<br \/>\n\u6709\u4e00\u4e2a\u975e\u5e38 nice \u7684\u65b9\u6cd5\uff0c<br \/>\n\u9996\u5148\u8fd9\u4e2a\u6751\u5b50\u91cc\u6bcf\u4e2a\u6751\u6c11\u90fd\u662f\u9884\u8a00\u5bb6\uff0c<br \/>\n\u5f53 A \u8bf4 B \u662f\u72fc\u4eba\u65f6\uff0c\u53ea\u6709\u4e0b\u9762\u4e09\u79cd\u60c5\u51b5\u3002<br \/>\n1. \u771f\u9884\u8a00\u5bb6\u62a5\u67e5\u6740\u3002<br \/>\n2. \u72fc\u4eba\u608d\u8df3\u8bec\u9677\u9884\u8a00\u5bb6\u3002<br \/>\n3. \u72fc\u4eba\u51fa\u5356\u81ea\u5df1\u7684\u72fc\u540c\u4f34\u4ee5\u505a\u9ad8\u81ea\u5df1\u7684\u8eab\u4efd\u3002<\/p>\n<p>\u4e0d\u7ba1\u600e\u4e48\u8bf4\uff0cA\u3001B \u4e0d\u4f1a\u540c\u65f6\u4e3a\u597d\u4eba\u3002<br \/>\n\u90a3\u4e48\u6211\u4eec\u53ea\u8981\u7528\u6808\u6784\u9020\u4e00\u6761\u8be2\u95ee\u94fe\uff0c\u6309\u7167\u987a\u5e8f\u7528\u6808\u9876\u7684\u5143\u7d20\u8be2\u95ee\u6bcf\u4e2a\u4eba\uff0c<br \/>\n\u5982\u679c\u8be2\u95ee\u4e3a\u5047\uff0c\u5c31\u5f39\u51fa\u6808\u9876\uff0c\u5426\u5219\u5c31 push \u4e00\u4e2a\u65b0\u4eba\u3002<br \/>\n\u90a3\u4e48 n-1 \u6b21\u8be2\u95ee\u8fc7\u540e\uff0c<\/p>\n<p>\u5047\u8bbe\u5f53\u524d\u6808\u4e2d\u67d0\u4e2a\u4eba\u662f\u597d\u4eba\uff0c\u90a3\u4e48\u5b83\u8be2\u95ee\u94fe\u540e\u9762\u7684\u6bcf\u4e2a\u4eba\u4e5f\u90fd\u662f\u597d\u4eba\uff0c<br \/>\n\u6240\u4ee5\u6808\u9876\u7684\u90a3\u4e2a\u4eba\u4e00\u5b9a\u573a\u4e0a\u8eab\u4efd\u6700\u9ad8\u7684\u3002<br \/>\n\u6709\u56e0\u4e3a\u5728\u6709\u89e3\u7684\u60c5\u51b5\u4e0b\uff0c\u6b64\u65f6\u6808\u4e2d\u4e00\u5b9a\u81f3\u5c11\u6709\u4e00\u4e2a\u4eba\u662f\u597d\u4eba\uff0c\u6240\u4ee5\u6808\u9876\u7684\u90a3\u4e2a\u4eba\u4e00\u5b9a\u662f\u597d\u4eba\u3002<br \/>\n\u8fd9\u6837\u4e00\u5171 2(n-1) \u6b21\u8be2\u95ee\u5c31\u53ef\u4ee5\u77e5\u9053\u6240\u6709\u7684\u7ed3\u679c\u4e86\u3002<\/p>\n<p>\u7528\u7c7b\u4f3c\u7684\u65b9\u6cd5\u53ef\u4ee5\u89e3\u51b3 WF \u7684\u8fd9\u4e2a\u9898\u3002<\/p>\n<h1><span class=\"ez-toc-section\" id=\"Problem_N_Whats_Our_Vector_Victor\"><\/span>Problem N. What&#8217;s Our Vector, Victor?<span class=\"ez-toc-section-end\"><\/span><\/h1>\n<ul>\n<li><a href=\"https:\/\/codeforces.com\/blog\/entry\/95700\">https:\/\/codeforces.com\/blog\/entry\/95700<\/a><\/li>\n<li><a href=\"https:\/\/codeforces.com\/blog\/entry\/95695\">https:\/\/codeforces.com\/blog\/entry\/95695<\/a><\/li>\n<\/ul>\n","protected":false},"excerpt":{"rendered":"<p>\u4f20\u9001\u95e8 \u63d0\u4ea4\u5730\u5740 \u56e0\u4e3a\u75ab\u60c5\u539f\u56e0\uff0c\u4eca\u5e74\u53bb\u5e74\u7684 Final Adpot \u4e86\u300c\u5b81\u7406\u89c4\u5219\u300d\uff0c\u53d8\u6210\u4e86 15 \u4e2a\u9898\u4e09\u4eba\u4e09\u673a\u3002\u3002\u3002 \u9884\u611f\u8da3\u5473\u6027\u548c\u7b56\u7565\u6027\u53ef\u80fd\u4f1a\u964d\u4f4e\u597d\u591a\uff0c\u867d\u7136 CF \u4e0a\u6709\u7ea2\u540d\u5927\u4f6c\u51fa\u6765\u5021\u8bae\u53cd\u5bf9\u8fd9\u4e2a\u89c4\u5219\uff0c\u4e0d\u8fc7\u597d\u50cf\u5e76\u4e0d\u4f1a\u6539\u53d8\u4ec0\u4e48\u3002\u3002\u3002\uff08BTW\uff0c\u7ed3\u679c\u8fd9\u4e2a\u9898\u4e3b\u672c\u5c4a World Final \u76f4\u63a5 win \u4e86\uff0c\u53ef\u89c1\u4ed6\u662f\u771f\u7684\u5173\u5fc3\u8fd9\u4e2a\u6bd4\u8d5b\u3002\u3002\u3002\uff09 \u4e8b\u5b9e\u4e5f\u786e\u5b9e\u5982\u6b64\uff0c\u611f\u89c9\u9898\u76ee\u96be\u5ea6\u4e5f\u6bd4\u524d\u51e0\u5929\u7684\u83ab\u65af\u79d1\u9080\u8bf7\u8d5b\u964d\u4f4e\u4e86\u597d\u591a\u3002\u3002\u53d8\u6210\u624b\u901f round \u4e86\u3002\u3002\u3002 (\u636e\u8bf4\u8fd9\u573a 8 \u4e2a\u9898\u624d\u7b97\u7b7e\u5230\u3002\u3002\u53ef\u6015\u3002\u3002\u3002) \u4ee5\u4e0b\u6309\u7167\u6211\u8ba4\u4e3a\u7684\u96be\u5ea6\u6392\u5e8f\u3002\u3002\u3002 Problem C. Domes \u534a\u5e73\u9762\u4ea4\u6a21\u677f\u9898\u3002 Problem E. Landscape Generator \u533a\u95f4\u52a0\u51cf\u7b49\u5dee\u6570\u5217\uff0c\u5355\u70b9\u8be2\u95ee\u3002 \u663e\u7136\u53ef\u4ee5\u7ebf\u6bb5\u6811\uff0c\u4e0d\u8fc7\u8fd9\u79cd\u53ea\u5728\u6700\u540e\u8be2\u95ee\u4e00\u6b21\u7684\u8bdd\u7528\u5dee\u5206+\u90e8\u5206\u548c\u6280\u5de7\u5c31\u53ef\u4ee5\uff0c\u7b7e\u5230\u9898\uff01 Problem G. Opportunity Cost \u5047\u8bbe\u6ca1\u6709 max 0 \u8fd9\u4e2a\u64cd\u4f5c\uff0c\u90a3\u4e48\u53ef\u4ee5 O(n) \u626b\u8fc7\u53bb\u3002 \u8fdb\u4e00\u6b65\u89c2\u5bdf\uff0c\u6211\u4eec\u679a\u4e3e shadow \u6389\u54ea\u4e9b\u7ef4\u5373\u53ef\uff0c\u6700\u5927\u503c\u4e0d\u53d8\u3002 Problem O. Which Planet is This?! \u5206\u522b\u5904\u7406\u6bcf\u4e2a\u7eac\u5ea6\uff0c\u5dee\u5206\u4e4b\u540e\u8f6c\u6362\u6210\u5b57\u7b26\u4e32\u95ee\u9898\uff0cKMP \u51fa\u6240\u6709\u5339\u914d\u4f4d\u7f6e\u5f97\u5230\u6240\u6709\u5408\u6cd5\u4f4d\u79fb\u3002 \u5224\u65ad\u6bcf\u4e2a\u7eac\u5ea6\u7684\u5408\u6cd5\u4f4d\u79fb\u4ea4\u96c6\u662f\u5426\u4e3a\u7a7a\u5373\u53ef\uff0c\u8fd9\u79cd\u770b\u8d77\u6765\u65f6\u51e0\u4f55\u7684\u9898\u6700\u540e\u53d1\u73b0\u53ef\u4ee5\u7528\u5b57\u7b26\u4e32\u7b97\u6cd5\u901a\u8fc7\u7684\u9898\u76ee\u8fd8\u662f\u5f88\u6709\u8da3\u7684\uff0c\u53c2\u89c1 [&hellip;]<\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"jetpack_post_was_ever_published":false,"_jetpack_newsletter_access":"","_jetpack_dont_email_post_to_subs":false,"_jetpack_newsletter_tier_id":0,"_jetpack_memberships_contains_paywalled_content":false,"_jetpack_memberships_contains_paid_content":false,"footnotes":"","jetpack_publicize_message":"","jetpack_publicize_feature_enabled":true,"jetpack_social_post_already_shared":true,"jetpack_social_options":{"image_generator_settings":{"template":"highway","enabled":false}}},"categories":[1],"tags":[],"class_list":["post-1780","post","type-post","status-publish","format-standard","hentry","category-uncategorized"],"jetpack_publicize_connections":[],"jetpack_featured_media_url":"","jetpack_shortlink":"https:\/\/wp.me\/p2tdP7-sI","jetpack_sharing_enabled":true,"_links":{"self":[{"href":"https:\/\/www.shuizilong.com\/house\/wp-json\/wp\/v2\/posts\/1780","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/www.shuizilong.com\/house\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/www.shuizilong.com\/house\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/www.shuizilong.com\/house\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/www.shuizilong.com\/house\/wp-json\/wp\/v2\/comments?post=1780"}],"version-history":[{"count":1,"href":"https:\/\/www.shuizilong.com\/house\/wp-json\/wp\/v2\/posts\/1780\/revisions"}],"predecessor-version":[{"id":1781,"href":"https:\/\/www.shuizilong.com\/house\/wp-json\/wp\/v2\/posts\/1780\/revisions\/1781"}],"wp:attachment":[{"href":"https:\/\/www.shuizilong.com\/house\/wp-json\/wp\/v2\/media?parent=1780"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.shuizilong.com\/house\/wp-json\/wp\/v2\/categories?post=1780"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.shuizilong.com\/house\/wp-json\/wp\/v2\/tags?post=1780"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}