{"id":173,"date":"2018-11-20T23:45:56","date_gmt":"2018-11-20T23:45:56","guid":{"rendered":"http:\/\/nocriz.com\/?p=173"},"modified":"2021-09-08T20:20:07","modified_gmt":"2021-09-08T12:20:07","slug":"noip2018%e6%b8%b8%e8%ae%b0%e9%a2%84%e8%a7%88%e7%89%88","status":"publish","type":"post","link":"https:\/\/nocriz.com\/?p=173","title":{"rendered":"NOIP2018\u6e38\u8bb0\u7ec8\u7248"},"content":{"rendered":"\n<p>\u4ece\u54ea\u91cc\u8dcc\u5012\uff0c\u5c31\u4ece\u54ea\u91cc\u722c\u8d77\u6765\u3002\u4eba\u5728\u8fd9\u91cc\uff0c\u4fe1\u5fc3\u8fd8\u6709\uff0c\u5e0c\u671b\u8fd8\u5728\u3002<\/p>\n\n\n\n<p>\u4eca\u5b66\u5e74\u662f\u6211\u6700\u540e\u4e00\u5e74OI\u3002\u8fd9\u662f\u6211\u6700\u540e\u4e00\u6b21NOIP\u3002\u5728\u706b\u8f66\u4e0a\u4f3c\u4e4e\u6ca1\u6709\u66f4\u597d\u7684\u4e8b\u60c5\u53ef\u505a\u4e86\uff0c\u6211\u4fbf\u628a\u8fd9\u51e0\u5929NOIP\u7684\u7ecf\u5386\u8bb0\u5f55\u4e0b\u6765\u3002\u6211\u5e76\u4e0d\u662f\u4ec0\u4e48\u5f3a\u7684\u9009\u624b\uff0c\u4f46\u6211\u7684\u7ecf\u9a8c\u53ef\u80fd\u4e5f\u662f\u6709\u4ef7\u503c\u7684\u3002<\/p>\n\n\n\n<!--more-->\n\n\n\n<h3 class=\"wp-block-heading\">Day 0<\/h3>\n\n\n\n<p>\u65e9\u65e9\u79bb\u5f00\u4e86\u5b66\u6821\uff0c\u5750\u4e0a\u4e86\u706b\u8f66\u3002\u5230\u8fbe\u5357\u4eac\u540e\u5230\u4e86\u5bbe\u9986\uff0c\u4e0b\u5348\u7761\u89c9\uff0c\u6253\u6253\u6a21\u7248\u3002\u665a\u4e0a\u5f00NOI Linux\u6a21\u62df\u7b2c\u4e8c\u5929\u6253\u6a21\u7248\u3002\u770b\u4e86\u770b\u4e66\uff0c\u7136\u540e\u65e9\u65e9\u7761\u89c9\u3002\u8fd9\u4e9b\u5929\u505a\u4e86\u82e5\u5e72\u5957\u6a21\u62df\u9898\uff0c\u611f\u89c9\u72b6\u6001\u8fd8\u4e0d\u9519\u300221:30\u5c31\u7761\u4e86\u3002<\/p>\n\n\n\n<h3 class=\"wp-block-heading\">Day 1<\/h3>\n\n\n\n<p>6:15 \u65e9\u65e9\u8d77\u5e8a\uff0c\u9ed8\u9ed8\u5403\u996d\u3002\u5165\u573a\uff0c\u53f3\u9762\u9694\u4e86\u4e24\u4e2a\u4f4d\u7f6e\u4fbf\u662f<strong>F<span style=\"color: red;\">izzyDavid<\/span><\/strong>\u3002\u6309\u7167\u8ba1\u5212\u6253\u7740\u6a21\u7248\uff0c\u5411\u53f3\u4e00\u770b\uff0c\u54c7\uff01<strong>F<span style=\"color: red;\">izzyDavid<\/span><\/strong>\u7684\u4ee3\u7801\u901f\u5ea6\u679c\u7136\u662f\u795e\u4e4e\u5176\u795e\uff0c\u4ec5\u4ec5\u542c\u58f0\u97f3\u4e5f\u662f\u8fd9\u6837\u3002\u6253\u4e86\u5feb\u8bfb\uff0cexgcd\u548c\u53d6\u6a21\u7684\u51fd\u6570\uff0c\u5c1d\u8bd5\u6253\u6307\u9488trie\u6811\u6ca1\u6253\u51fa\u6765\uff0c\u6539\u5199\u975e\u6307\u9488\u7248\uff0c\u65f6\u95f4\u8fc7\u4e86\u4e0d\u5c11\u3002<\/p>\n\n\n\n<p>\u8fd9\u65f6\uff0c\u9898\u76ee\u4e0b\u53d1\u4e86\uff0c\u770b\u4e86\u7b2c\u4e00\u9898\u3002<strong>F<span style=\"color: red;\">izzyDavid<\/span><\/strong>\u5927\u6982\u534a\u5206\u949f\u5c31\u5f00\u59cb\u5199\u4e86\uff0c\u6211\u7136\u800c\u6ca1\u592a\u4f1a\uff0c\u5728\u4e00\u4e24\u5206\u949f\u540e\uff0c\u4e5f\u60f3\u4e86<strong>O(n)<\/strong>\u505a\u6cd5\u3002<\/p>\n\n\n\n<p>\u770b\u4e86\u7b2c\u4e8c\u9898\uff0c\u611f\u89c9\u4e0d\u5927\u4f1a\u4e86\uff0c\u770b\u4e86\u6837\u4f8b\uff0c\u8fd8\u662f\u4e0d\u4f1a\u3002n = 100\u662f\u5565\u554a\uff0c\u4e0d\u77e5\u9053\uff0c\u50cf\u662fn^3\u554a\u3002ai &lt;=25000\u4e5f\u4e0d\u77e5\u9053\u548b\u7528\uff0c\u5199\u4e86\u4e2aexgcd\uff0c\u6392\u5e8f\u540e\u5224\u65ad\u6bcf\u4e00\u4e2a\u80fd\u4e0d\u80fd\u88ab\u4e4b\u524d\u9009\u62e9\u7684\u4e00\u4e2a\u6216\u4e24\u4e2a\u8868\u793a\uff0c\u5927\u6837\u4f8b\u8fc7\u4e0d\u53bb\u3002<\/p>\n\n\n\n<p>50\u5206\u949f\u65f6\uff0c\u60f3\u5230\u4e86\u6b63\u89e3\u80cc\u5305\uff0c\u4e00\u5c0f\u65f6\u7684\u65f6\u5019\u5199\u5b8c\u4e86\u3002<\/p>\n\n\n\n<p>\u770b\u4e86\u7b2c\u4e09\u9898\uff0c\u8fd9\u6b21\u60f3\u4e86\u5341\u5206\u949f\u5c31\u4f1a\u505a\u4e86\uff0c\u4f46\u662f\u5199\u5012\u662f\u5199\u4e8650\u5206\u949f\u3002\u8fd9\u548c\u7b2c\u4e8c\u9898\u6070\u6070\u76f8\u53cd\u554a\uff0c\u7136\u800c\u603b\u7684\u7528\u65f6\u5374\u662f\u4e00\u6837\u7684\u3002<br><\/p>\n\n\n\n<p>\u5395\u6240\u7206\u6ee1\uff0c\u5341\u4eba\u6392\u961f\u3002\u5927\u5bb6\u90fdAK\u4e86\u554a\u3002<\/p>\n\n\n\n<p>\u7136\u540e\u5404\u79cd\u8c03\u8bd5\uff0c\u5404\u79cd\u5bf9\u62cd\uff0c\u4f18\u5316T3\uff0c\u5230\u6bd4\u8d5b\u7ed3\u675f\u3002\u4e2d\u9014\u770b\u5230<strong>F<span style=\"color: red;\">izzyDavid<\/span><\/strong>\u5728\u7761\u89c9\u2026\u2026<\/p>\n\n\n\n<p>\u6bd4\u8d5b\u7ed3\u675f\u4e00\u95ee\uff0cCYY\u4e5fAK\u4e86\u3002\u5927\u5bb6\u90fdAK\u4e86\uff0c\u611f\u89c9Day2\u9898\u4f1a\u5f88\u96be\u554a\u3002<\/p>\n\n\n\n<p>\u4e0b\u5348\u5199\u6a21\u7248\uff0c\u91cd\u5199\u4e86\u4e00\u904d\u4e0a\u5348\u7684\u7a0b\u5e8f\uff0c\u5728\u6d1b\u8c37\u4e0a\u6d4b\uff0cRE\u4e86\u3002\u5f00\u59cb\u62c5\u5fc3\u81ea\u5df1RE\uff0c\u540e\u6765<strong>\u975e\u5e38\u5bb3\u6015\uff0c\u975e\u5e38\u5f71\u54cd\u60c5\u7eea<\/strong>\u3002\u56e0\u4e3a\u8fb9for\u8fb9\u5220\u6307\u9488\u4e86\u554a\uff0c\u4f46\u662f\u8003\u573a\u4e0a\u5728\u4e0a\u5395\u6240\u4e4b\u540e\u9b54\u6539\u4e86\u4e00\u756a\u5c31\u4e0dRE\u4e86\uff0c\u540e\u6765\u6d4b\u4e86\u51e0\u5341\u7ec4\u4e5f\u6ca1\u4e8b\u554a\u2026\u2026\u53d1\u73b0\u6307\u9488\u5220\u7684\u987a\u5e8f\u53d8\u5316\u4e00\u4e0b\u5c31\u6ca1\u4e8b\u4e86\uff0c\u771f\u662f\u5965\u5999\u91cd\u91cd\u3002\u611f\u89c9\u8fd8\u7b97\u7a33\u3002<\/p>\n\n\n\n<p>\u665a\u4e0a\u5199\u4e86\u5199\u6a21\u7248\uff0c9:40\u7761\u4e86\u3002<\/p>\n\n\n\n<h3 class=\"wp-block-heading\">Day 2<\/h3>\n\n\n\n<p>5:15\u9192\u6765\uff0c\u770b\u4e86\u8868\uff0c\u8eba\u4e0b\u4e86\u3002\u7741\u773c6:15\u3002\u65e9\u65e9\u8d77\u5e8a\uff0c\u9ed8\u9ed8\u5403\u996d\u3002\u5165\u573a\uff0c\u6309\u7167\u8ba1\u5212\u6253\u7740\u6a21\u7248\uff0c\u5411\u53f3\u4e00\u770b\uff0c\u54c7\uff01<strong>FizzyDavid<\/strong>\u8fd8\u6ca1\u6765\u3002\u6253\u4e86\u5feb\u8bfb\uff0cexgcd\u548c\u53d6\u6a21\u7684\u51fd\u6570\uff0c\u987a\u5229\u6253\u6307\u9488trie\u6811\uff0c\u65f6\u95f4\u8fc7\u4e86\u4e0d\u591a\uff0c\u6253\u4e86DFS\u3002\u6211\u751a\u81f3\u90fd\u4e0d\u77e5\u9053\u4e3a\u5565\u6253DFS\u3002<\/p>\n\n\n\n<p>\u8fd9\u65f6\uff0c\u9898\u76ee\u4e0b\u53d1\u4e86\uff0c\u770b\u4e86\u7b2c\u4e00\u9898\u3002\u6570\u636e\u8303\u56f4\u5565\u7684\u90fd\u6ca1\u770b\uff0c\u5c31\u4ee5\u4e3a\u662fdfs\u88f8\u9898\uff0c\u76f4\u63a5\u628a\u81ea\u5df1\u5199\u7684DFS\u52a0\u4e2asort\u5199\u4e0a\u4e86\uff0c\u73b0\u5728\uff0c\u5927\u6837\u4f8b\uff01WA\uff01\u8fc7\u4e0d\u53bb\uff01FizzyDavid\u8fd8\u6ca1\u5f00\u59cb\u5199\u3002\u679c\u7136\uff0c\u662f\u592a\u83bd\u4e86\u3002\u8fd9\u65f6\u5019\u770b\u5230\u6570\u636e\u8303\u56f45000\uff0c\u6211\u614c\u5f20\u4e86\u3002\u6211\u4e0d\u4f1a\u4e86\u3002\u6211\u8d8a\u6765\u8d8a\u7d27\u5f20\uff0c\u800cFizzyDavid\u5f00\u59cb\u5199\u4e86\u3002<\/p>\n\n\n\n<p>\u5728\u770b\u4e86\u534a\u4e2a\u5c0f\u65f6\u4e4b\u540e\uff0c\u6211\u8fd8\u662f\u6839\u672c\u6ca1\u601d\u8def\u3002\u6211\u60f3\u4e86\u57fa\u73af\u6811\uff0c\u6211\u60f3\u4e86\u6c42\u73af\uff0c\u7136\u540e\u2026\u2026\u6211\u8fd8\u60f3\u4e86\u8d2a\u5fc3\u5224\u65ad\u6700\u5c0f\u7684\u5408\u6cd5\u70b9\uff0c\u7ec6\u8282\u4e5f\u60f3\u4e0d\u51fa\u2026\u2026\u6211\u60f3\u5230\u4e86O(n)\u7b97\u6cd5\uff0c\u770b\u5f97\u6570\u636e\u8303\u56f4\uff0c\u53c8\u60f3\u4e0d\u5230\u7ec6\u8282\uff0c\u76f4\u63a5\u653e\u5f03\u3002\u6211\u552f\u72ec\u6ca1\u6709\u60f3\u5230\u66b4\u529b\u7684\u6b63\u89e3\u3002<\/p>\n\n\n\n<p>\u534a\u4e2a\u5c0f\u65f6\u540e\uff0c\u6211\u88ab\u8feb\u9009\u62e9\u770bT2\u4e86\u3002T2\u597d\u50cf\u5f88\u6709\u601d\u8def\u7684\u6837\u5b50\uff0c\u6211\u548c\u5f88\u591a\u5176\u4ed6\u4eba\u4e00\u6837\u60f3\u5230\u4e86\u9519\u8bef\u7684\u7ed3\u8bba\uff0c\u5199\u4e86\u9519\u8bef\u7684dfs\u7a0b\u5e8f\uff0c\u8dd1\u51fa\u6765\u4e86\u9519\u8bef\u768486400\u3002\u6211\u5361\u4e86\u4e00\u4e2a\u5c0f\u65f6\uff01\u6211\u5728\u8fd9\u671f\u95f4\u5199\u4e86\u66b4\u529b\uff0c\u96be\u4ee5\u8c03\u8bd5\u3002\u8fdb\u884c\u4e86\u5bf9\u62cd\uff0c\u75db\u82e6\u81f3\u6781\u3002\u627e\u5230\u4e86\u53cd\u4f8b\uff0c\u53d1\u73b0\u81ea\u5df1\u7684\u601d\u8def\u5b8c\u5168\u9519\u8bef\uff01\u723d\uff01\u6211\u5b8c\u4e86\uff01<\/p>\n\n\n\n<p>\u6211\u60f3\uff1a\u6211T1\u73b0\u5728\u670960\uff0c\u6211T2\u73b0\u5728\u670950\uff0c\u6211T3\u73b0\u5728\u8fd8\u6ca1\u4ed4\u7ec6\u770b\uff0cT2\u4e0d\u662f\u5f88\u4f1a\u505a\uff0c\u4eca\u5929\u771f\u662f\u5361\uff01\u6211\u53ea\u597d\u4fdd\u5b88\u5730\u6253\uff01\u6211T3\u4e0d\u8981\u4e86\uff0c\u6211\u52aa\u529bA\u51faT1\u548cT2\u3002<\/p>\n\n\n\n<p>\u6211\u56de\u5934\u770b\u4e86T1\uff0c\u8fdb\u5165\u4e86\u65e0\u5c3d\u7684\u5faa\u73af\uff0c\u4e0d\u76f8\u4fe1T1\u662f\u9ad8\u96be\u5ea6\u7684\u6211\u60f3\u5230\u7684\u89e3\u6cd5\u7684\u9898\uff0c\u611f\u89c9\u53c8\u5199\u4e0d\u51fa\u3002\u53bb\u770b\u4e86T2\uff0c\u8fd8\u662f\u4e0d\u4f1a\uff01\u6211\u8fd9\u65f6\u6ca1\u6709\u4e00\u4e2a\u4ee3\u7801\u653e\u5728\u4e86\u63d0\u4ea4\u6587\u4ef6\u5939\u4e2d\uff0c\u53ea\u6709\u4e00\u4e2a\u591a\u5c0f\u65f6\u4e86\u3002\u65f6\u95f4\u4e00\u70b9\u70b9\u8fc7\u53bb\uff0c\u6211\u5374\u4e0d\u78b0T3\uff01<\/p>\n\n\n\n<p>\u6211\u4e0a\u4e86\u6b21\u5395\u6240\uff0c\u53ea\u67091:20\u4e86\u3002\u6211\u8fd9\u65f6\u6574\u7406\u597d\u4e86\u81ea\u5df1\u7684\u601d\u8def\uff0c\u4eca\u5929\u5c31\u662f\u9006\uff0c\u6211\u6ca1\u529e\u6cd5\uff01\u6211\u5f00\u59cb\u641eT2\uff0c\u5199\u4e86\u5927\u698250\u5206\uff0c\u975e\u5e38\u4e0d\u7a33\u3002\u5199\u4e86T1\uff0c\u5199\u4e8672\u5206\uff0c\u975e\u5e38\u4e0d\u7a33\u3002\u53ea\u526940\u5206\u949f\u4e86\uff0c\u5199\u4e86T3\uff0c\u5199\u4e86\u5927\u698244\u5206\uff0c\u5c31\u662f\u66b4\u529b\uff0c\u4f18\u5316\u5565\u4e5f\u8c03\u4e0d\u51fa\u6765\uff01<\/p>\n\n\n\n<p>\u53ea\u5269\u5341\u5206\u949f\u4e86\uff0c\u6211T1\uff0cT2\uff0cT3\u8089\u773c\u770b\u4e86\u4e0b\u6587\u4ef6\uff0c\u5f00\u59cb\u8dd1\u6837\u4f8b\u3002\u8fd8\u884c\u3002\u4f46\u662fT1 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