{"id":373,"date":"2009-02-23T22:02:17","date_gmt":"2009-02-23T14:02:17","guid":{"rendered":"http:\/\/sinyalee.com\/blog\/?p=373"},"modified":"2009-02-23T22:02:17","modified_gmt":"2009-02-23T14:02:17","slug":"%e4%bb%8e-gdkoi-2009-%e5%9b%9e%e6%9d%a5%e4%ba%86","status":"publish","type":"post","link":"https:\/\/sinyalee.com\/blog\/?p=373","title":{"rendered":"\u4ece GDKOI 2009 \u56de\u6765\u4e86"},"content":{"rendered":"<p>\u8bb0\u5f97\u4e00\u5e74\u524d\u7684\u6b64\u65f6\u6b64\u523b\uff0c\u6211\u5199\u4e86\u4e00\u7bc7\u6587\u7ae0\u53eb\u505a<a href=\"https:\/\/sinyalee.com\/blog\/?p=169\">\u4eceGDKOI\u56de\u6765\u4e86<\/a>\uff0c\u73b0\u5728\u8fd8\u662f\u8bc4\u8bba\u6700\u591a\u7684\u6587\u7ae0\u3002\u770b\u6765\u5927\u5bb6\u5bf9Lys\u7684\u5174\u8da3\uff08\u6291\u6216\u662f\u6211\u7684\u7b14\u89e6\uff09\u662f\u5341\u5206\u5f3a\u70c8\u554a\u3002<\/p>\n<p>===============\u6211\u662f\u5206\u5272\u7ebf===============<\/p>\n<p>\u5176\u5b9e\uff0c\u4e00\u76f4\u5f88\u7fa1\u6155\u73e0\u4e09\u89d2\u7684OIer\u3002KOI\uff0c\u90fd\u662f\u5468\u516d\u65e9\u665a\u5468\u65e5\u56de\u7684\u3002\u800c\u6211\u4eec\u5462\uff0c\u5750\u8f66\u65f6\u95f42\u5929\uff0c\u6bd4\u8d5b\u65f6\u95f42\u5929\u3002<\/p>\n<p>\u8fc7\u53bb\u5e7f\u5dde\u5750\u957f\u9014\u5ba2\u8f66\uff0c\u56e0\u4e3a\u9c98\u95e8\u670d\u52a1\u7ad9\u5f00\u4e86\u95f4M\u8bb0\uff0c\u6c7d\u8f66\u516c\u53f8\u62ff\u4e0d\u4e86\u56de\u6263\uff0c\u7ed3\u679c\u5c31\u628a\u6211\u4eec\u62c9\u5230\u4e86\u4e00\u4e2a\u53eb\u6c5d\u6e56\u7684\u5783\u573e\u670d\u52a1\u7ad9\u3002\u54ea\u91cc\u7684\u6240\u8c13\u725b\u8089\u4e38\u7cbf\u676115\u5143\u800c\u4e14\u96be\u5403\u5f97\u8981\u547d\u3002\u82cd\u8747\u6f2b\u5929\u98de\u821e\uff0c\u5341\u5206\u6076\u5fc3\u3002<\/p>\n<p>\u56de\u6765\u672c\u6765\u60f3\u8981\u641e\u4e2a\u706b\u8f66\u786c\u5367\u597d\u597d\u4f11\u606f\uff0c\u7ed3\u679c\u4eb2\u7231\u7684\u6f6e\u9633\u5b9e\u9a8c\u7684\u6307\u5bfc\u8001\u5e08\u7ed9\u6211\u4eec\u4e70\u4e86\u786c\u5ea7\u7968\u3002\u5367\u69fd\uff0c\u521a\u5f00\u59cb\u6211\u5c31\u8bf4\u8981\u6362\u6210\u5367\u94fa\u3002\u7ed3\u679c\u7531\u4e8e\u5176\u4ed6\u540c\u5b66\u548c\u59da\u8001\u7684\u60f0\u6027\uff0c\u6700\u7ec8\u4e5f\u6ca1\u6709\u6362\u6210\u2026\u2026\u521a\u5f00\u59cb\u8fd8\u597d\u53d7\uff0c\u7b49\u5230\u9f99\u5ddd\uff0c\u5c31\u662f\u5e7f\u6885\u6c55\u94c1\u8def\u4e0e\u4eac\u4e5d\u7ebf\u4ea4\u754c\u7684\u5730\u65b9\uff0c\u4e00\u5927\u5806\u7834\u7834\u70c2\u70c2\u5916\u7701\u4ed4\u7a7f\u5f97\u908b\u908b\u9062\u9062\u6311\u7740\u4e00\u5927\u5806\u4e71\u4e03\u516b\u7cdf\u7684\u4e1c\u897f\u6d8c\u4e0a\u6765\uff0c\u62ff\u7740\u7ad9\u7968\u5c31\u786c\u62a2\u6211\u4eec\u7684\u5ea7\u4f4d\u4e0d\u8ba9\u6211\u4eec\u5750\uff0c\u6700\u540e\u6211\u6ca1\u5ea7\u4f4d\u53ea\u80fd\u5750\u5728\u6905\u80cc\u4e0a\u5ea6\u8fc7\u597d\u51e0\u4e2a\u5c0f\u65f6\u3002\u6905\u80cc\u4e0a\u7a7a\u6c14\u81f3\u5c11\u6bd4\u4e0b\u9762\u597d\u4e00\u70b9\uff0c\u5728\u4e0b\u9762\u662f\u5b8c\u5168\u6ca1\u6709\u529e\u6cd5\u547c\u5438\u7684\u3002<\/p>\n<p>\u4ee5\u540e\u6bd4\u8d5b\u4e00\u5b9a\u81ea\u5df1\u4e70\u673a\u7968\u8fc7\u53bb\u3002\u4e0d\u8fc7\u59da\u8001\u5e08\u544a\u8bc9\u6211\u4e00\u4e2a\u6781\u5176\u6076\u5fc3\u7684\u6d88\u606f\uff0c\u5c31\u662fGDOI\u5728\u97f6\u5173\u4e3e\u884c\u2026\u2026\u97f6\u5173\u4ec0\u4e48\u5730\u65b9\u561b\uff0c\u7528Google Earth\u5982\u679c\u6ca1\u6709\u5f00\u4efb\u4f55\u56fe\u5c42\uff0c\u6839\u672c\u5c31\u8ddf\u6c5f\u897f\u6e56\u5357\u8fde\u6210\u4e00\u7247\u7684\u561b\u2026\u2026\u867d\u7136\u98ce\u666f\u662f\u5f88\u6f02\u4eae\uff0c\u53ef\u662f\u90a3\u4e2a\u4ec0\u4e48\u4ea4\u901a\u6761\u4ef6\u5c31\u771f\u7684\u662f\u592a\u90a3\u4e2a\u4e86\uff0c\u8fde\u98de\u673a\u573a\u90fd\u6ca1\u6709\uff01<\/p>\n<p>===============\u6211\u662f\u5206\u5272\u7ebf===============<\/p>\n<p>\u6211\u903c\u706b\u8bf4\uff0c\u7b49\u6709\u4e00\u5929\u8ba9\u4ed6\u4eec\u90fd\u6765\u6c55\u5934\u8003\u8bd5\u3002\u53ef\u662f\u636e\u8bf4\u8fd9\u79cd\u70e7\u94b1\u7684\u4e8b\u6c55\u5934\u653f\u5e9c\u7cfb\u4e0d\u4f1a\u505a\u6ef4\u3002\u653f\u5e9c\u6ca1\u94b1\u4e86\u5b98\u5458\u8d2a\u6c61\u4ec0\u4e48\u634f\uff1f\u59da\u8001\u5e08\u8bf4\u4e0d\u8981\u8865\u6210\u5367\u94fa\u662f\u6ca1\u529e\u6cd5\u62a5\u9500\uff0c\u62a5\u9500\u8981\u5411\u6c55\u5934\u8d22\u653f\u5c40\uff0c\u800c\u4ed6\u4eec\u603b\u662f\u5343\u65b9\u767e\u8ba1\u62d2\u7edd\u3002<\/p>\n<p>\u4e5f\u8bb8\u62d2\u7edd\u4e5f\u662f\u6b63\u5e38\u7684\uff1a\u522b\u4eba\u662f\u201c\u518d\u82e6\u4e0d\u80fd\u82e6\u5b69\u5b50\uff0c\u518d\u7a77\u4e0d\u80fd\u7a77\u6559\u80b2\u201d\uff1b\u6c55\u5934\u653f\u5e9c\u662f\u201c\u6559\u80b2\u4e5f\u662f\u751f\u4ea7\u529b\u201d\u3002\u800c\u4e14\u5728\u5b9e\u8df5\u4e2d\u8ba4\u771f\u8d2f\u5f7b\u843d\u5b9e\uff1a\u91d1\u4e2d\u6536\u4e86\u90a3\u4e48\u591a\u62e9\u6821\u751f\u90a3\u4e48\u591a\u62e9\u6821\u8d39\uff0c\u7ed3\u679c\u90fd\u88ab\u5f53\u6210\u662f\u6c55\u5934\u7684\u8d22\u653f\u6536\u5165\u66b8\u3002<\/p>\n<p>\u7ed3\u679c\u7adf\u7136\u8fde\u6211\u4eec\u6559\u5ba4\u7535\u6559\u5e73\u53f0\u7684\u5e7b\u706f\u673a\u574f\u4e86\u56db\u4e94\u5e74\u8fd8\u6ca1\u80fd\u591f\u66f4\u6362\uff0c\u6d01\u7656\u52c7\u903c\u8feb\u6211\u53bb\u5f53\u7535\u6559\u5458\uff0c\u4f17\u6559\u5e08\u4f17\u540c\u5b66\u603b\u662f\u5bf9\u6211\u8bf4\uff1a\u201c\u627e\u4f60\u59e8\u201d\uff08\u201c\u4f60\u59e8\u201d\u5728\u6f6e\u6c55\u8bdd\u7684\u610f\u4e49\u53ef\u7c7b\u6bd4\u666e\u901a\u8bdd\u7684\u201c\u4ed6\u5988\u201d\uff09\uff0c\u7ed3\u679c\u6211\u7533\u8bf7\u4e86n!\u6b21\u8fd8\u6ca1\u901a\u8fc7\u3002<\/p>\n<p>\u4e3a\u4e86\u907f\u514d\u88ab\u7ee7\u7eed\u53eb\u201c\u4f60\u59e8\u201d\uff0c\u6211\u53ea\u80fd\u81ea\u5df1\u6350\u94b1\u4e70\u4e86\u4e2a\u5e7b\u706f\u3002\u7ed3\u679c\u67d0\u5929\u5b66\u6821\u5f00\u4f1a\uff0c\u5411\u5168\u4f53\u6559\u804c\u5458\u5de5\u8868\u626c\u6d01\u7656\u52c7\u52d2\u7d22\u5b66\u751f\u7684\u884c\u4e3a\u2026\u2026<\/p>\n<p>\u6c55\u5934\u7ecf\u6d4e\u843d\u540e\uff0c\u7edd\u5bf9\u4e0d\u662f\u90a3\u4e9b\u201c\u5177\u6709\u6b63\u4e49\u611f\u7684\u201d\u8bed\u6587\u8001\u5e08\u6240\u8ba4\u4e3a\u7684\u6240\u8c13\u201c\u6ca1\u8bda\u4fe1\u201d\u7684\u95ee\u9898\u2014\u2014\u8fd9\u79cd\u95ee\u9898\u5728\u5f00\u59cb\u53d1\u5c55\u7684\u4efb\u4f55\u5730\u533a\u90fd\u5b58\u5728\u3002\u5728\u8fd9\u4e2a\u81ea\u4e0a\u800c\u4e0b\u6ca1\u6709\u81ea\u7531\u7684\u56fd\u5ea6\u91cc\uff0c\u7edd\u5bf9\u662f\u653f\u5e9c\u7684\u95ee\u9898\uff08\u6211\u6307\u7684\u7edd\u5bf9\u4e0d\u53ea\u662f\u5e02\u653f\u5e9c\uff0c\u6bd5\u7adf\u5e02\u653f\u5e9c\u6743\u529b\u6709\u9650\uff09\u3002<\/p>\n<p>\u6211\u4e5f\u4e0d\u4f1a\u50cf\u59da\u8001\u5e08\u90a3\u6837\u53ea\u662f\u62b1\u6028\u2026\u2026\u7edd\u5bf9\u4e0d\u4f1a\u2026\u2026<\/p>\n<p>===============\u6211\u662f\u5206\u5272\u7ebf===============<\/p>\n<p>\u9898\u76ee\u672c\u8eab\u4e0d\u662f\u5f88\u96be\uff0c\u4e3b\u8981\u8fd8\u662fDP\u548c\u641c\u7d22\u3002<\/p>\n<p>\u8fd9\u6b21\u6210\u7ee9\u8fd8\u597d\uff0c\u7b2c\u56db\u3002\u7b2c\u4e00\u4e0d\u8ba4\u8bc6\u2026\u2026\u7b2c\u4e8c\u662f\u86e4\u87c6\u9633\uff0c\u7b2c\u4e09\u662f\u521d\u4e09\u7684\u5c0f\u9c7c\u513f\u3002\u7b2c\u4e8c\u7b2c\u4e09\u7b2c\u56db\u7684\u5206\u6570\u6210\u516c\u5dee\u4e3a-1\u7684\u7b49\u5dee\u6570\u5217\uff0c\u8fd9\u4e2a\u5dee\u8ddd\u8fd8\u662f\u6bd4\u8f83\u7325\u7410\u7684\u5427\u3002\u5e78\u597d\u8fd9\u4e2a\u662f\u7ec3\u4e60\u8d5b\u4e0d\u662fGDSOI\u3002\u5982\u679cSOI\u62111\u5206\u6ca1\u8fdb\u7701\u961f\u90a3\u5c31\u2026\u2026\u7b97\u4e86\uff0c\u4e0d\u8981\u60f3\u592a\u591a\uff0c\u7b49\u4e00\u4e0b\u771f\u7684\u6210\u4e3a\u73b0\u5b9e\u90a3\u5c31\u60e8\u4e86\u3002<\/p>\n<p>\u4e4b\u524d\u4e00\u6bb5\u5f88\u957f\u7684\u65f6\u95f4\u88ab\u90ed\u6653\u65ed\u7fc1\u65af\u5e06\u90a3\u7fa4\u9ad8\u4e00\u62c9\u53bb\u7814\u7a76\u6570\u636e\u7ed3\u6784\u3002\u4e0d\u8fc7\u6bd5\u7adf\u7701\u8d5b\u9ad8\u7ea7\u7684\u6570\u636e\u7ed3\u6784\u81f3\u591a\u81f3\u591a\u4e00\u8bd5\u4e00\u9898\uff0c\u6839\u672c\u4e0d\u9700\u8981\u90a3\u4e48\u591a\u65f6\u95f4\u5b66\u4e60\u3002\u6240\u4ee5KOI\u524d\u56de\u5f52\u6700\u539f\u59cb\u7684DP\u548c\u641c\u7d22\u8fd8\u662f\u6b63\u786e\u7684\u3002\u6700\u8fd1\u5728USACO\u505anew problems\u90a3\u4e9bDP\u9898\uff0c\u987a\u4fbf\u52a0\u5f3a\u4e00\u4e0b\u641c\u7d22\uff0c\u770b\u6765\u8fd8\u662f\u6b63\u786e\u7684\u3002\u7279\u522b\u662f\u641c\u7d22\uff0c\u4e0d\u4f1a\u505a\u7684\u9898\u76ee\u8fd8\u53ef\u4ee5\u9a97\u4e00\u70b9\u5206\u6570\u3002<\/p>\n<p>===============\u6211\u662f\u5206\u5272\u7ebf===============<\/p>\n<p>\u7b2c\u4e00\u8bd5\uff0c\u6211\u5750\u5728\u4e00\u6392\u7684\u6700\u5de6\u8fb9\uff0c\u6211\u53f3\u8fb9\u662f\u77f3\u95e8\u4e2d\u5b66\u7684\u9093\u5c1a\u6587\uff0c\u53f3\u8fb9\u7684\u53f3\u8fb9\u662f5\u73ed\u6797\u884d\u51ef\u795e\u725b\u3002<\/p>\n<p>\u6211\u4e00\u8fc7\u53bb\u5c31\u628a\u6211\u53f3\u8fb9\u7684\u7535\u8111\u8e22\u7ffb\u4e86\uff08\u7edd\u5bf9\u4e0d\u662f\u4f53\u79ef\u95ee\u9898\uff09\uff0c\u7ed3\u679c\u7b2c\u4e8c\u8bd5\u7ed3\u675f\u53d1\u73b0\u9093\u725b\u8fd8\u6ca1\u53d1\u73b0\u4ed6\u7684\u7535\u8111\u662f\u5012\u7740\u7684\u2026\u2026<\/p>\n<p>\u9093\u725b\u662f\u7528C++\u7684\uff0c\u7531\u4e8e\u6700\u8fd1\u6211\u4e5f\u6ca1\u4e8b\u73a9\u73a9C++\uff0c\u6240\u4ee5\u5c31\u8bf7\u6559\u4e00\u4e0b\u3002\u5f53\u6211\u8bf4\u5230C++\u7f16\u8bd1\u51fa\u6765\u7684\u7a0b\u5e8f\u8981\u6bd4Pascal\u8981\u5feb\uff0c\u4e0d\u662f\u5f88\u516c\u5e73\u7684\u65f6\u5019\uff0c\u9093\u725b\u8bf4\uff1a\u201cP\u672c\u6765\u5c31\u662f\u5e94\u8be5\u6dd8\u6c70\u7684\u201d\u3002<\/p>\n<p>\u7ed3\u679c\u5462\uff0c\u5f53\u65f6\u8bd5\u673a\u7684\u65f6\u5019\u9093\u725b\u6253\u4e86\u4e00\u4e2aqsort\u8c03\u4e86n\u4e45\u3002\u6211\u6e05\u6670\u7684\u770b\u5230\u4ed6\u7684\u7a0b\u5e8f\u6709\u7740\u5982\u4e0b\u7247\u6bb5\uff08\u8282\u9009\u5173\u952e\u90e8\u5206\uff09\uff1a<\/p>\n<blockquote><p>for (;;)<br \/>\n{<br \/>\ni++;<br \/>\nif (a[i]&gt;=sign) break;<br \/>\n}<\/p><\/blockquote>\n<p>\u672c\u4eba\u6781\u5176\u539a\u9053\uff0c\u7528C++\u5199\u4e86\u4e2aqsort\u7ed9\u4ed6\uff0c\u7ed3\u679c\u5bfc\u81f4\u88abGSS\u6559\u6388\u70b9\u540d\u6279\u8bc4\u3002\u4e0a\u9762\u8bed\u53e5\u5bf9\u5e94\u8bed\u53e5\u5982\u4e0b\uff08\u5e76\u4e0d\u4e25\u683c\u7b49\u4ef7\uff09\uff1a<\/p>\n<blockquote><p>while (a[i]&lt;sign) i++;<\/p><\/blockquote>\n<p>\u7b2c\u4e00\u8bd5\u7684\u9898\u76ee\u6bd4\u8f83\u7b80\u5355\uff0c\u7ed3\u679c\u7b2c\u4e00\u9898\u9093\u539f\u725b\u548c\u9f9f\u725b\u90fd\u5199\u4e86\u5b50\u5e8f\u5217\u2026\u2026\u8fd9\u79cd\u660e\u663e\u592a\u5927\u725b\u7684\u4eba\u6211\u4eec\u5b9e\u5728\u6bd4\u4e0d\u4e0a\u3002\u6211\u5199\u4e86\u4e2a\u6700\u57fa\u7840\u7684DP\u3002\u7ed3\u679c\u5728n=1\u65f6wa\u4e86\uff0c\u6211\u8f93\u51fa0\u3002\u5176\u5b9e\u5bf9\u8fd9\u4e2a\u9519\u8bef\u6211\u6301\u4fdd\u7559\u6001\u5ea6\uff1a\u53bb\u5e74KOI\u7b2c\u4e00\u8bd5\u7b2c\u4e00\u9898\u8bc4\u59d4\u4eec\u8bf4\uff0c1\u4e2a\u5c31\u4e0d\u80fd\u7b97\u8fde\u7eed\uff0c\u4e8e\u662f\u6211wa\u4e86\u4e00\u4e2a\u70b9\uff1b\u4eca\u5e74\u8bc4\u59d4\u4eec\u53c8\u8bf4\uff0c\u8fde\u7eed\u7684\u7eff\u8c46\u997c\u5305\u62ec1\u4e2a\u7eff\u8c46\u997c\uff0c\u4e8e\u662f\u6211\u53c8\u53bb\u5206\u4e86\u3002<\/p>\n<p>\u7b2c\u4e8c\u98981\u5c0f\u65f6\u5199\u4e86ac\u7a0b\u5e8f\uff0c\u7ed3\u679c\u7a81\u7136\u8111\u6b8b\u53c8\u82b1\u534a\u5c0f\u65f6\u5199\u4e86\u4e2a\u65b0\u7248\u7a0b\u5e8f\uff0c\u624d\u53d1\u73b0\u539f\u6765\u7684\u7a0b\u5e8f\u6ca1\u6709\u9519\u3002\u8fd9\u9053\u9898\u6211\u7528O(nlogn)\u7684\u7b97\u6cd5\uff0c\u4f46\u786e\u5b9e\u6709 O(n) \u7b97\u6cd5\uff0c\u4f46\u662f\u8bc4\u59d4\u8bf4\u7684\u4e09\u7b49\u5206\u70b9\u6cd5\u662f\u9519\u8bef\u7684\u3002\u8fd9\u9053\u9898\u6570\u636e\u6bd4\u8f83\u5c0f\uff0c\u4e0d\u4e00\u5b9a\u7528O(n)\uff0c\u6240\u4ee5\u5947\u5999\u7684\u89e3\u6cd5\u8fd8\u662f\u6bd4\u8f83\u591a\u7684\uff0c\u6bd4\u5982\u968f\u673a\u8c03\u6574\u2026\u2026<\/p>\n<p>\u7b2c\u4e09\u9898\u88f8\u7684\u7f51\u7edc\u6d41\uff0c\u7531\u4e8e\u6211\u83dc\uff0c\u4e0d\u4f1a\u5199\u5308\u7259\u5229\uff0c\u6240\u4ee5\u53ea\u80fd\u5199\u4e00\u4e2asap\u2026\u2026<\/p>\n<p>\u7b2c\u56db\u9898\uff0c\u7531\u4e8e\u7b2c\u4e8c\u9898\u6d6a\u8d39\u592a\u591a\u65f6\u95f4\uff0c\u53ea\u5269\u4e0b1\u5c0f\u65f6\uff0c\u4e8e\u662f\u6211\u5199\u4e8645\u5206\u949f\uff0c\u8fb9\u5199\u8fb9\u5ff5\u6cd5\u514b\u9c7f\uff0c\u53d1\u73b0\u624d\u505a\u4e861\/3\uff0c\u4e8e\u662f\u4fbf\u5199\u4e86\u4e2acheat\u7a0b\u5e8f\u3002\u5982\u679cn=1\u5c31\u7279\u6b8a\u5224\u65ad\uff0cn&gt;1\u5c31\u8f93\u51fa\u201c\u51fa\u8fd9\u9053\u9898\u7684\u4eba\u5fc3\u7406\u53d8\u6001\u201d\u3002\u7ed3\u679c\u7adf\u7136\u4e00\u4e2an=1\u7684\u6570\u636e\u90fd\u6ca1\u6709\uff0c\u53ea\u5f970\u5206\u3002\u90ed\u6653\u65ed\u4e00\u76f4\u6002\u607f\u6211\u590d\u8bc4\uff0c\u8ba9\u8bc4\u59d4\u4eec\u770b\u770b\u6211\u7684\u7a0b\u5e8f\u7684\u8f93\u51fa\u3002<\/p>\n<p>===============\u6211\u662f\u5206\u5272\u7ebf===============<\/p>\n<p>\u7b2c\u4e8c\u8bd5\uff0c\u56db\u9053\u90fd\u4f1a\u505a\uff0c\u4e5f\u90fd\u53ef\u4ee5\u505a\u5230\u6ee1\u5206\uff0c\u4f46\u7ed3\u679c\u8fd8\u662f\u6709\u4e00\u4e9b\u9057\u61be\u7684\u5730\u65b9\uff1a\u65b9\u5c55\u9e4f\u59dc\u78a7\u91ce\u4ed6\u4eec\u90fd\u662f144\uff0c\u770b\u6765\u5e76\u4e0d\u662f\u4e0d\u53ef\u80fd\u505a\u5230\u63a5\u8fd1\u6ee1\u5206\u3002<\/p>\n<p>\u7b2c\u4e00\u9898\u6c34\u8fc7\uff0c\u7ed3\u679c\u8fd8\u662f\u6709\u725b\u6302\u2026\u2026<\/p>\n<p>\u7b2c\u4e8c\u9898\u6bd4\u8f83\u9057\u61be\uff0c\u660e\u660e\u60f3\u5230\u53ef\u80fd\u7206\u6808\uff0c\u628a1h\u5199\u597d\u7684\u9012\u5f52\u7684DP\u7528\u4e860.5\u6539\u6210\u975e\u9012\u5f52\u3002\u7ed3\u679c\u5fd8\u8bb0\u628a\u5efa\u6811\u8fc7\u7a0b\u4e5f\u6539\u6210\u975e\u9012\u5f52\uff0c\u6302\u4e862\u4e2a\u70b9\u3002<\/p>\n<p>\u7b2c\u4e09\u9898\u66f4\u52a0\u9057\u61be\uff0c\u5206\u6790\u590d\u6742\u5ea6\u7684\u65f6\u5019\u5fd8\u8bb0\u524d\u9762\u8fd8\u4e58\u591a1\u4e2am\uff0c\u7ed3\u679c\u628a\u54c8\u5e0c\u8868\u5f00\u5927\u4e86\uff0c\u590d\u8bc4\u7684\u65f6\u5019\u53d1\u73b0\uff0c\u5982\u679c\u628abigprime\u5e38\u6570\u4ece1991\u6539\u621091\u5c31\u53ef\u4ee5\u591a\u5f9712\u5206\u3002\u4f30\u8ba1\u54c8\u5e0c\u8868\u76f4\u63a5fillchar\u800c\u4e0d\u8981\u56de\u6536\u5185\u5b58\u7684\u8bdd\u5c31\u53ef\u4ee5\u4e0dtle\u4e86\uff08\u6211\u5bf9\u4e0d\u56de\u6536\u56de\u6536\u5185\u5b58\u6781\u5176\u6050\u60e7\uff0c\u56e0\u4e3a\u6211\u66fe\u56e0\u4e3a\u6ca1\u6709\u56de\u6536\u5185\u5b58\u62d6\u57ae\u8fc7\u5b66\u6821\u7535\u8111\uff09\u3002<\/p>\n<p>\u5f53\u65f6\u7531\u4e8e\u7b2c\u4e8c\u9898\u6539\u975e\u9012\u5f52\u82b1\u591a\u4e86\u534a\u4e2a\u5c0f\u65f6\uff08\u7ed3\u679c8\u5206\u8fd8\u662f\u62ff\u4e0d\u56de\u6765\uff09\uff0c\u6240\u4ee5\u53ea\u5269\u6700\u540e1.5\u5c0f\u65f6\u5199\u7b2c\u4e09\u9898\uff0c\u7ed3\u679c\u53c8\u770b\u9519m\u7684\u8303\u56f4\u53c8\u591a\u82b10.5\u5c0f\u65f6\u3002\u6700\u540e\u53ea\u52691\u4e2a\u5c0f\u65f6\u505a\u7b2c\u4e09\u9898\u3002\u5173\u4e8e\u5168\u90e8\u6a213\u7684\u8d2a\u5fc3\u88ab\u6211\u7684\u53cd\u4f8b\u63a8\u7ffb\uff0c\u53ef\u662f\u6211\u4e5f\u6709\u60f3\u5230111 222 333\u7b49\u4ef7\u4e8e123 123 123\uff08\u8fd9\u4e2a\u662f\u6211\u5e73\u65f6\u6253\u9ebb\u5c06\u7684\u65f6\u5019\u60f3\u5230\u7684\uff09\u3002\u53ef\u662f\u7531\u4e8e\u65f6\u95f4\u7d27\u8feb\uff0c\u6211\u8ba4\u771f\u8d2f\u5f7b\u843d\u5b9e\u76ae\u708e\u5e73\u7684\u505a\u9898\u54f2\u5b66\u201c\u5f53\u4f60\u60f3\u5230\u4f18\u79c0\u7684\u89e3\u6cd5\u7684\u540c\u65f6\uff0c\u522b\u4eba\u65e9\u5c31\u7528\u7b80\u5355\u7684\u89e3\u6cd5\u628a\u9898\u76ee\u89e3\u51b3\u51fa\u6765\u4e86\u201d\u3002\u5f53\u65f6\u6211\u53ea\u60f3\u5230\u66b4\u529b\u7684\u4ece\u5de6\u5230\u53f3DP+\u72b6\u6001\u538b\u7f29hash\uff0c\u4e8e\u662f\u6211\u5c31\u8fd9\u4e48\u505a\u4e86\u3002<\/p>\n<p>\u5176\u5b9e\u53ef\u4ee5\u8bc1\u660e\uff08\u5f53\u65f6\u53ea\u662f\u611f\u89c9\u4e00\u4e0b\uff09\uff0c\u72b6\u6001\u6570\u4e0d\u4f1a\u6307\u6570\u7ea7\u589e\u957f\uff0c\u603b\u7684\u72b6\u6001\u6570\u4f1a\u9650\u5236\u5728\u4e00\u4e2a\u8303\u56f4\u5185\u3002\u5176\u5b9e\u5c31\u662f\u90a3\u4e2a\u8d2a\u5fc3\u7684\u7f18\u6545\uff0c\u4e5f\u5c31\u662f\u65b9\u5c55\u9e4f\u795e\u725b\u7684\u65b9\u6cd5\u3002\u6240\u4ee5\u6211\u7684\u65b9\u6cd5\u6309\u7167\u5218\u7956\u7acb\u8bc4\u59d4\u7684\u5206\u7c7b\u4e5f\u7b97\u662fO(m^2)\u7684\u3002\u4f46\u662f\u5b9e\u9645\u4e0a\u90a3\u4e2a\u6240\u8c13\u5e38\u6570\u4f3c\u4e4e\u662f\u8ddfm\u6709\u5173-_-|||\uff0c\u8fd0\u884c\u8d77\u6765\u8fd8\u662f\u5dee\u4e0d\u591a\u3002\u7406\u8bba\u7684\u4e1c\u897f\u662f\u9a97\u4eba\u7684\u2026\u2026\u5b9e\u9645\u8fd0\u884c\u65f6\u95f4\u624d\u662f\u786c\u9053\u7406\u3002<\/p>\n<p>\u7b2c\u56db\u9898\u6709\u4eba\u8bf4\uff0c\u5408\u5e76\u540c\u6837\u957f\u5ea6\u7684\u68cd\u5b50\u53ea\u80fd\u8ba9\u8bc4\u59d4\u7684\u7a0b\u5e8f\u901a\u8fc7\u3002\u4f46\u597d\u50cf\u6700\u574f\u60c5\u51b5\u603b\u662f\u6709\u540c\u6837\u957f\u5ea6\u7684\u68cd\u5b50\uff0c\u6ca1\u6709\u540c\u6837\u957f\u5ea6\u7684\u68cd\u5b50\u8fbe\u4e0d\u5230\u6700\u574f\u60c5\u51b5\u3002\u800c\u4e14\u8fd8\u53ef\u4ee5\u52a0hash\u4f18\u5316\uff0c\u6240\u4ee5\u6302\u6389\u90a3\u4e2a\u70b9\u8fd8\u662f\u8f93\u5f97\u5fc3\u670d\u53e3\u670d\u7684\u3002<\/p>\n<p>\u987a\u4fbf\u8bf4\u4e00\u53e5\uff0c\u90d1\u6208\u8fea\u6293\u9898\u8fd8\u662f\u6bd4\u8f83\u51c6\u7684\uff0c\u6211\u53d1\u73b0\u4ed6\u6700\u8fd1\u5728\u505a<a href=\"http:\/\/cat.nknush.kh.edu.tw\/ZeroJudge\/ShowProblem?problemid=d102\">ZeroJudge\u7684\u4e00\u5806\u7ebf\u6bb5<\/a>\uff0c\u7ed3\u679c\u4ed6\u5c31\u7adf\u7136\u771f\u7684\u51fa\u4e86\u3002<\/p>\n<p>===============\u6211\u662f\u5206\u5272\u7ebf===============<\/p>\n<p>\u5982\u679c\u8bf4\uff0cGDOI2008\u5bf9\u6211\u6765\u8bf4\uff0c\u662f\u77e5\u803b\u800c\u540e\u52c7\u3002<\/p>\n<p>\u5f53\u7136\uff0cGDKOI\uff0c\u53ea\u662f\u7ec3\u4e60\u8d5b\uff0c\u5269\u4e0b4\u4e2a\u6708\uff0c\u6211\u4f1a\u4e0d\u987e\u4e00\u5207\u7684\u52aa\u529b\u7684\uff01\u7701\u961f\uff0c\u624d\u662f\u76ee\u6807_1.<\/p>\n<p>\u6211\u6628\u665a\u5403\u996d\u65f6\u5019\u5f00\u73a9\u7b11\u8bf4\uff0c\u8fd9\u662f\u6211\u6700\u540e\u4e00\u6b21\u5728\u897f\u82d1\u5403\u4e86\uff0c\u5982\u679c\u6709\u4e0b\u4e00\u6b21\uff0c\u4e0d\u662f\u8fdb\u56fd\u5bb6\u96c6\u8bad\u961f\u800c\u8fc7\u6765GDKOI2010\u73a9\uff0c\u5c31\u662f\u9ad8\u8003\u8003\u6302\u6765\u4e2d\u5927\u8bfb\u4e66\u4e86\u2026\u2026<\/p>\n<p><span style=\"text-decoration: line-through;\">\u5e0c\u671b<\/span>\u6211\u4f1a\u662f\u524d\u8005\u3002<\/p>\n<p>===============\u6211\u662f\u5206\u5272\u7ebf===============<\/p>\n<p>\u8d34\u56fe\uff1a<\/p>\n<p>\u5728Day 2\u665a\u4e0a\uff0c\u73e0\u6c5f\u7554\uff0c\u987a\u4fbf\u8d5e\u4e00\u4e0bSony Ericsson \u7684\u5168\u666f\u7167\u76f8\u529f\u80fd\u3002<\/p>\n<p><a title=\"Flickr \u4e0a Sinya Lee \u7684 \u73e0\u6c5f\" href=\"http:\/\/www.flickr.com\/photos\/sinya\/3302929775\/\"><img loading=\"lazy\" decoding=\"async\" src=\"http:\/\/farm4.static.flickr.com\/3640\/3302929775_abc25ab4dd_b.jpg\" alt=\"\u73e0\u6c5f\" width=\"601\" height=\"150\" \/><\/a><\/p>\n<p>\u56de\u6c55\u5934\u7684\u706b\u8f66\u4e0a\u3002<\/p>\n<p><a title=\"Flickr \u4e0a Sinya Lee \u7684 \u4eceGDKOI 2009\u56de\u6c55\u5934\u7684\u706b\u8f66\u4e0a\" href=\"http:\/\/www.flickr.com\/photos\/sinya\/3303759906\/\"><img loading=\"lazy\" decoding=\"async\" src=\"http:\/\/farm4.static.flickr.com\/3524\/3303759906_b1ed4c3fa1_b.jpg\" alt=\"\u4eceGDKOI 2009\u56de\u6c55\u5934\u7684\u706b\u8f66\u4e0a\" width=\"600\" height=\"450\" \/><\/a><\/p>\n<p>\u6574\u7406\u76f8\u7247\u662f\u53d1\u73b0\u7684\u4e0a\u5b66\u671f\u67d0\u4e2a\u540c\u5b66\u5728\u6e21\u8239\u4e0a\u62cd\u7684\u76f8\u7247\u3002<\/p>\n<p><a title=\"Flickr \u4e0a Sinya Lee \u7684 \u6e21\u8239\u4e0a\" href=\"http:\/\/www.flickr.com\/photos\/sinya\/3302929445\/\"><img loading=\"lazy\" decoding=\"async\" src=\"http:\/\/farm4.static.flickr.com\/3486\/3302929445_3301def772_b.jpg\" alt=\"\u6e21\u8239\u4e0a\" width=\"599\" height=\"449\" \/><\/a><\/p>\n","protected":false},"excerpt":{"rendered":"<p>\u8bb0\u5f97\u4e00\u5e74\u524d\u7684\u6b64\u65f6\u6b64\u523b\uff0c\u6211\u5199\u4e86\u4e00\u7bc7\u6587\u7ae0\u53eb\u505a\u4eceGDKOI\u56de\u6765\u4e86\uff0c\u73b0\u5728\u8fd8\u662f\u8bc4\u8bba\u6700\u591a\u7684\u6587\u7ae0\u3002\u770b\u6765\u5927\u5bb6\u5bf9Lys\u7684\u5174\u8da3\uff08\u6291 [&hellip;]<\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[4,9],"tags":[44,107,131,276],"class_list":["post-373","post","type-post","status-publish","format-standard","hentry","category-4","category-9","tag-gdoi","tag-107","tag-131","tag-276"],"_links":{"self":[{"href":"https:\/\/sinyalee.com\/blog\/index.php?rest_route=\/wp\/v2\/posts\/373","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/sinyalee.com\/blog\/index.php?rest_route=\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/sinyalee.com\/blog\/index.php?rest_route=\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/sinyalee.com\/blog\/index.php?rest_route=\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/sinyalee.com\/blog\/index.php?rest_route=%2Fwp%2Fv2%2Fcomments&post=373"}],"version-history":[{"count":0,"href":"https:\/\/sinyalee.com\/blog\/index.php?rest_route=\/wp\/v2\/posts\/373\/revisions"}],"wp:attachment":[{"href":"https:\/\/sinyalee.com\/blog\/index.php?rest_route=%2Fwp%2Fv2%2Fmedia&parent=373"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/sinyalee.com\/blog\/index.php?rest_route=%2Fwp%2Fv2%2Fcategories&post=373"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/sinyalee.com\/blog\/index.php?rest_route=%2Fwp%2Fv2%2Ftags&post=373"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}