{"id":135,"date":"2015-07-17T17:29:41","date_gmt":"2015-07-17T17:29:41","guid":{"rendered":""},"modified":"2015-07-17T17:29:41","modified_gmt":"2015-07-17T17:29:41","slug":"","status":"publish","type":"post","link":"http:\/\/weizn.net\/?p=135","title":{"rendered":"[\u8f6c]\u5e38\u7528\u6392\u5e8f\u7b97\u6cd5\u7a33\u5b9a\u6027\u5206\u6790"},"content":{"rendered":"

\n\t\u30101\u3011\u9009\u62e9\u6392\u5e8f\u3001\u5feb\u901f\u6392\u5e8f\u3001\u5e0c\u5c14\u6392\u5e8f\u3001\u5806\u6392\u5e8f\u4e0d\u662f\u7a33\u5b9a\u7684\u6392\u5e8f\u7b97\u6cd5<\/span><\/span>\n<\/p>\n

\n\t\u5192\u6ce1\u6392\u5e8f\u3001\u63d2\u5165\u6392\u5e8f\u3001\u5f52\u5e76\u6392\u5e8f\u548c\u57fa\u6570\u6392\u5e8f\u90fd\u662f\u7a33\u5b9a\u7684\u6392\u5e8f\u7b97\u6cd5\u3002<\/span>\n<\/p>\n

\n\t\u30102\u3011\u7814\u7a76\u6392\u5e8f\u7b97\u6cd5\u7684\u7a33\u5b9a\u6027\u6709\u4f55\u610f\u4e49\uff1f<\/span><\/span>\n<\/p>\n

\n\t\u9996\u5148\uff0c\u6392\u5e8f\u7b97\u6cd5\u7684\u7a33\u5b9a\u6027\u5927\u5bb6\u5e94\u8be5\u90fd\u77e5\u9053\uff0c\u901a\u4fd7\u5730\u8bb2\u5c31\u662f\u80fd\u4fdd\u8bc1\u6392\u5e8f\u524d\u4e24\u4e2a\u76f8\u7b49\u7684<\/span>\u6570\u636e\u5176\u5728\u5e8f\u5217\u4e2d\u7684\u5148\u540e\u4f4d\u7f6e\u987a\u5e8f\u4e0e\u6392\u5e8f\u540e\u5b83\u4eec\u4e24\u4e2a\u5148\u540e\u4f4d\u7f6e\u987a\u5e8f\u76f8\u540c\u3002<\/span>\n<\/p>\n

\n\t\u518d\u7b80\u5355\u5177\u4f53\u4e00\u70b9\uff0c\u5982\u679cA<\/span> i == A j\uff0cAi \u539f\u6765\u5728 <\/span>Aj \u4f4d\u7f6e\u524d\uff0c\u6392\u5e8f\u540e Ai  \u4ecd\u7136<\/span>\u662f\u5728 <\/span>Aj <\/span>\u4f4d\u7f6e\u524d\u3002 <\/span><\/span>\n<\/p>\n

\n\t\u4e0b\u9762\u6211\u4eec\u5206\u6790\u4e00\u4e0b\u7a33\u5b9a\u6027\u7684\u597d\u5904\uff1a<\/span>\n<\/p>\n

\n\t\uff081\uff09\u5982\u679c\u6392\u5e8f\u7b97\u6cd5\u662f\u7a33\u5b9a\u7684\uff0c\u90a3\u4e48\u4ece\u4e00\u4e2a\u952e\u4e0a\u6392\u5e8f\uff0c\u7136\u540e\u518d\u4ece\u53e6\u4e00\u4e2a\u952e\u4e0a\u6392\u5e8f\uff0c\u7b2c\u4e00\u4e2a\u952e\u6392\u5e8f\u7684\u7ed3\u679c\u53ef\u4ee5\u4e3a\u7b2c\u4e8c\u4e2a\u952e\u6392\u5e8f\u6240\u5229\u7528\u3002<\/span>\n<\/p>\n

\n\t\u57fa\u6570\u6392\u5e8f\u5c31\u662f\u8fd9\u6837\uff0c\u5148\u6309\u4f4e\u4f4d\u6392\u5e8f\uff0c\u9010\u6b21\u6309\u9ad8\u4f4d\u6392\u5e8f\uff0c\u90a3\u4e48\uff0c\u4f4e\u4f4d\u76f8\u540c\u7684\u6570\u636e\u5143\u7d20\u5176\u5148\u540e\u4f4d\u7f6e\u987a\u5e8f\u5373\u4f7f\u5728\u9ad8\u4f4d\u4e5f\u76f8\u540c\u65f6\u662f\u4e0d\u4f1a\u6539\u53d8\u7684\u3002\u8be6\u7ec6\u8bf7\u53c2\u89c1\u968f\u7b14\u300a\u57fa\u6570\u6392\u5e8f<\/a>\u300b\u3002<\/span>\n<\/p>\n

\n\t\uff082\uff09\u5b66\u4e60\u6392\u5e8f\u539f\u7406\u65f6\uff0c\u53ef\u80fd\u7f16\u7684\u7a0b\u5e8f\u91cc\u9762\u8981\u6392\u5e8f\u7684\u5143\u7d20\u90fd\u662f\u7b80\u5355\u7c7b\u578b\uff0c\u5b9e\u9645\u4e0a\u771f\u6b63\u5e94\u7528\u65f6\uff0c\u53ef\u80fd\u662f\u5bf9\u4e00\u4e2a\u590d\u6742\u7c7b\u578b\uff08\u81ea\u5b9a\u4e49\u7c7b\u578b\uff09\u7684\u6570\u7ec4\u6392\u5e8f\uff0c<\/span>\n<\/p>\n

\n\t\u800c\u6392\u5e8f\u7684\u952e\u503c\u4ec5\u4ec5\u53ea\u662f\u8fd9\u4e2a\u5143\u7d20\u4e2d\u7684\u4e00\u4e2a\u5c5e\u6027\uff0c\u5bf9\u4e8e\u4e00\u4e2a\u7b80\u5355\u7c7b\u578b\uff0c\u6570\u5b57\u503c\u5c31\u662f\u5176\u5168\u90e8\u610f\u4e49\uff0c\u5373\u4f7f\u4ea4\u6362\u4e86\u4e5f\u770b\u4e0d\u51fa\u4ec0\u4e48\u4e0d\u540c\u3002<\/span>\n<\/p>\n

\n\t\u4f46\u662f\uff0c\u5bf9\u4e8e\u590d\u6742\u7c7b\u578b\uff0c\u4ea4\u6362\u7684\u8bdd\u53ef\u80fd\u5c31\u4f1a\u4f7f\u539f\u672c\u4e0d\u5e94\u8be5\u4ea4\u6362\u7684\u5143\u7d20\u4ea4\u6362\u4e86\u3002\u6bd4\u5982\uff1a\u4e00\u4e2a\u201c\u5b66\u751f\u201d\u6570\u7ec4\uff0c\u6b32\u6309\u7167\u5e74\u9f84\u6392\u5e8f\uff0c\u201c\u5b66\u751f\u201d\u8fd9\u4e2a\u5bf9\u8c61\u4e0d\u4ec5\u542b\u6709\u201c\u5e74\u9f84\u201d\uff0c\u8fd8\u6709\u5176\u5b83\u5f88\u591a\u5c5e\u6027\u3002<\/span>\n<\/p>\n

\n\t\u5047\u4f7f\u539f\u6570\u7ec4\u662f\u628a\u5b66\u53f7\u4f5c\u4e3a\u4e3b\u952e\u7531\u5c0f\u5230\u5927\u8fdb\u884c\u7684\u6570\u636e\u6574\u7406\u3002\u800c\u7a33\u5b9a\u7684\u6392\u5e8f\u4f1a\u4fdd\u8bc1\u6bd4\u8f83\u65f6\uff0c\u5982\u679c\u4e24\u4e2a\u5b66\u751f\u5e74\u9f84\u76f8\u540c\uff0c\u4e00\u5b9a\u4e0d\u4f1a\u4ea4\u6362\u3002<\/span>\n<\/p>\n

\n\t\u90a3\u4e5f\u5c31\u610f\u5473\u7740\u5c3d\u7ba1\u662f\u5bf9\u201c\u5e74\u9f84\u201d\u8fdb\u884c\u4e86\u6392\u5e8f\uff0c\u4f46\u662f\u5b66\u53f7\u987a\u5e8f\u4ecd\u7136\u662f\u7531\u5c0f\u5230\u5927\u7684\u8981\u6c42\u3002<\/span>\n<\/p>\n

\n\t\uff083\uff09\u5982\u679c\u6392\u5e8f\u7b97\u6cd5\u7a33\u5b9a\uff0c\u5bf9\u57fa\u4e8e\u6bd4\u8f83\u7684\u6392\u5e8f\u7b97\u6cd5\u800c\u8a00\uff0c\u5143\u7d20\u4ea4\u6362\u7684\u6b21\u6570\u53ef\u80fd\u76f8\u5bf9\u4f1a\u5c11\u4e00\u4e9b\uff08\u4e2a\u4eba\u611f\u89c9\uff0c\u6ca1\u6709\u8bc1\u5b9e\uff09\u3002 <\/span>\n<\/p>\n

\n\t\u30103\u3011\u5404\u79cd\u6392\u5e8f\u7b97\u6cd5\u7a33\u5b9a\u6027\u5206\u6790<\/span>\n<\/p>\n

\n\t\u73b0\u5728\u5206\u6790\u4e00\u4e0b\u5e38\u89c1\u7684\u6392\u5e8f\u7b97\u6cd5\u7684\u7a33\u5b9a\u6027\uff0c\u6bcf\u4e2a\u90fd\u7ed9\u51fa\u7b80\u5355\u7684\u7406\u7531\u3002 <\/span>\n<\/p>\n

\n\t\uff081\uff09\u5192\u6ce1\u6392\u5e8f <\/span>\n<\/p>\n

\n\t\u5192\u6ce1\u6392\u5e8f\u5c31\u662f\u628a\u5c0f\u7684\u5143\u7d20\u5f80\u524d\u8c03\uff08\u6216\u8005\u628a\u5927\u7684\u5143\u7d20\u5f80\u540e\u8c03\uff09\u3002\u6ce8\u610f\u662f\u76f8\u90bb\u7684\u4e24\u4e2a\u5143\u7d20\u8fdb\u884c\u6bd4\u8f83\uff0c\u800c\u4e14\u662f\u5426\u9700\u8981\u4ea4\u6362\u4e5f\u53d1\u751f\u5728\u8fd9\u4e24\u4e2a\u5143\u7d20\u4e4b\u95f4\u3002<\/span>\n<\/p>\n

\n\t\u6240\u4ee5\uff0c\u5982\u679c\u4e24\u4e2a\u5143\u7d20\u76f8\u7b49\uff0c\u6211\u60f3\u4f60\u662f\u4e0d\u4f1a\u518d\u65e0\u804a\u5730\u628a\u5b83\u4eec\u4fe9\u518d\u4ea4\u6362\u4e00\u4e0b\u3002<\/span>\n<\/p>\n

\n\t\u5982\u679c\u4e24\u4e2a\u76f8\u7b49\u7684\u5143\u7d20\u6ca1\u6709\u76f8\u90bb\uff0c\u90a3\u4e48\u5373\u4f7f\u901a\u8fc7\u524d\u9762\u7684\u4e24\u4e24\u4ea4\u6362\u628a\u4e24\u4e2a\u5143\u7d20\u76f8\u90bb\u8d77\u6765\uff0c\u6700\u7ec8\u4e5f\u4e0d\u4f1a\u4ea4\u6362\u5b83\u4fe9\u7684\u4f4d\u7f6e\uff0c\u6240\u4ee5\u76f8\u540c\u5143\u7d20\u7ecf\u8fc7\u6392\u5e8f\u540e\u987a\u5e8f\u5e76\u6ca1\u6709\u6539\u53d8\u3002<\/span>\n<\/p>\n

\n\t\u6240\u4ee5\u5192\u6ce1\u6392\u5e8f\u662f\u4e00\u79cd\u7a33\u5b9a\u6392\u5e8f\u7b97\u6cd5\u3002 <\/span>\n<\/p>\n

\n\t\uff082\uff09\u9009\u62e9\u6392\u5e8f<\/span>\n<\/p>\n

\n\t\u9009\u62e9\u6392\u5e8f\u5373\u662f\u7ed9\u6bcf\u4e2a\u4f4d\u7f6e\u9009\u62e9\u5f85\u6392\u5e8f\u5143\u7d20\u4e2d\u5f53\u524d\u6700\u5c0f\u7684\u5143\u7d20\u3002\u6bd4\u5982\u7ed9\u7b2c\u4e00\u4e2a\u4f4d\u7f6e\u9009\u62e9\u6700\u5c0f\u7684\uff0c\u5728\u5269\u4f59\u5143\u7d20\u91cc\u9762\u7ed9\u7b2c\u4e8c\u4e2a\u4f4d\u7f6e\u9009\u62e9\u6b21\u5c0f\u7684\uff0c<\/span>\n<\/p>\n

\n\t\u4f9d\u6b21\u7c7b\u63a8\uff0c\u76f4\u5230\u7b2cn-1\u4e2a\u5143\u7d20\uff0c\u7b2cn\u4e2a\u5143\u7d20\u4e0d\u7528\u9009\u62e9\u4e86\uff0c\u56e0\u4e3a\u53ea\u5269\u4e0b\u5b83\u4e00\u4e2a\u6700\u5927\u7684\u5143\u7d20\u4e86\u3002<\/span>\n<\/p>\n

\n\t\u90a3\u4e48\uff0c\u5728\u4e00\u8d9f\u9009\u62e9\u65f6\uff0c\u5982\u679c\u5f53\u524d\u9501\u5b9a\u5143\u7d20\u6bd4\u540e\u9762\u4e00\u4e2a\u5143\u7d20\u5927\uff0c\u800c\u540e\u9762\u8f83\u5c0f\u7684\u90a3\u4e2a\u5143\u7d20\u53c8\u51fa\u73b0\u5728\u4e00\u4e2a\u4e0e\u5f53\u524d\u9501\u5b9a\u5143\u7d20\u76f8\u7b49\u7684\u5143\u7d20\u540e\u9762\uff0c\u90a3\u4e48\u4ea4\u6362\u540e\u4f4d\u7f6e\u987a\u5e8f\u663e\u7136\u6539\u53d8\u4e86\u3002<\/span>\n<\/p>\n

\n\t\u5475\u5475\uff01\u6bd4\u8f83\u62d7\u53e3\uff0c\u4e3e\u4e2a\u4f8b\u5b50\uff1a\u5e8f\u52175 8 5 2 9\uff0c \u6211\u4eec\u77e5\u9053\u7b2c\u4e00\u8d9f\u9009\u62e9\u7b2c1\u4e2a\u5143\u7d205\u4f1a\u4e0e2\u8fdb\u884c\u4ea4\u6362\uff0c\u90a3\u4e48\u539f\u5e8f\u5217\u4e2d\u4e24\u4e2a5\u7684\u76f8\u5bf9\u5148\u540e\u987a\u5e8f\u4e5f\u5c31\u88ab\u7834\u574f\u4e86\u3002<\/span>\n<\/p>\n

\n\t\u6240\u4ee5\u9009\u62e9\u6392\u5e8f\u4e0d\u662f\u4e00\u4e2a\u7a33\u5b9a\u7684\u6392\u5e8f\u7b97\u6cd5\u3002 <\/span>\n<\/p>\n

\n\t\uff083\uff09\u63d2\u5165\u6392\u5e8f<\/span>\n<\/p>\n

\n\t\u63d2\u5165\u6392\u5e8f\u662f\u5728\u4e00\u4e2a\u5df2\u7ecf\u6709\u5e8f\u7684\u5c0f\u5e8f\u5217\u7684\u57fa\u7840\u4e0a\uff0c\u4e00\u6b21\u63d2\u5165\u4e00\u4e2a\u5143\u7d20\u3002<\/span>\u5f53\u7136\uff0c\u521a\u5f00\u59cb\u8fd9\u4e2a\u6709\u5e8f\u7684\u5c0f\u5e8f\u5217\u53ea\u67091<\/span>\u4e2a\u5143\u7d20\uff0c<\/span>\u4e5f\u5c31\u662f\u7b2c\u4e00\u4e2a\u5143\u7d20\uff08\u9ed8\u8ba4\u5b83\u6709\u5e8f\uff09\u3002<\/span>\n<\/p>\n

\n\t\u6bd4\u8f83\u662f\u4ece\u6709\u5e8f\u5e8f\u5217\u7684\u672b\u5c3e\u5f00\u59cb\uff0c\u4e5f\u5c31\u662f\u628a\u5f85\u63d2\u5165\u7684\u5143\u7d20\u548c\u5df2\u7ecf\u6709\u5e8f\u7684\u6700\u5927\u8005\u5f00\u59cb\u6bd4\u8d77\uff0c\u5982\u679c\u6bd4\u5b83\u5927\u5219\u76f4\u63a5\u63d2\u5165\u5728\u5176\u540e\u9762\u3002<\/span>\n<\/p>\n

\n\t\u5426\u5219\u4e00\u76f4\u5f80\u524d\u627e\u76f4\u5230\u627e\u5230\u5b83\u8be5\u63d2\u5165\u7684\u4f4d\u7f6e\u3002\u5982\u679c\u9047\u89c1\u4e00\u4e2a\u4e0e\u63d2\u5165\u5143\u7d20\u76f8\u7b49\u7684\uff0c\u90a3\u4e48\u628a\u5f85\u63d2\u5165\u7684\u5143\u7d20\u653e\u5728\u76f8\u7b49\u5143\u7d20\u7684\u540e\u9762\u3002<\/span>\n<\/p>\n

\n\t\u6240\u4ee5\uff0c\u76f8\u7b49\u5143\u7d20\u7684\u524d\u540e\u987a\u5e8f\u6ca1\u6709\u6539\u53d8\uff0c\u4ece\u539f\u65e0\u5e8f\u5e8f\u5217\u51fa\u53bb\u7684\u987a\u5e8f\u4ecd\u662f\u6392\u597d\u5e8f\u540e\u7684\u987a\u5e8f\uff0c\u6240\u4ee5\u63d2\u5165\u6392\u5e8f\u662f\u7a33\u5b9a\u7684\u3002 <\/span>\n<\/p>\n

\n\t\uff084\uff09\u5feb\u901f\u6392\u5e8f<\/span>\n<\/p>\n

\n\t\u5feb\u901f\u6392\u5e8f\u6709\u4e24\u4e2a\u65b9\u5411\uff0c\u5de6\u8fb9\u7684i\u4e0b\u6807\u4e00\u76f4\u5f80\u53f3\u8d70\uff08\u5f53\u6761\u4ef6a[i] <= a[center_index]\u65f6\uff09\uff0c\u5176\u4e2dcenter_index\u662f\u4e2d\u67a2\u5143\u7d20\u7684\u6570\u7ec4\u4e0b\u6807\uff0c\u4e00\u822c\u53d6\u4e3a\u6570\u7ec4\u7b2c0\u4e2a\u5143\u7d20\u3002<\/span>\n<\/p>\n

\n\t\u800c\u53f3\u8fb9\u7684j\u4e0b\u6807\u4e00\u76f4\u5f80\u5de6\u8d70\uff08\u5f53a[j] > a[center_index]\u65f6\uff09\u3002<\/span>\n<\/p>\n

\n\t\u5982\u679ci\u548cj\u90fd\u8d70\u4e0d\u52a8\u4e86\uff0ci <= j, \u4ea4\u6362a[i]\u548ca[j],\u91cd\u590d\u4e0a\u9762\u7684\u8fc7\u7a0b\uff0c\u76f4\u5230i>j\u3002<\/span>\u4ea4\u6362a[j]\u548ca[center_index]\uff0c\u5b8c\u6210\u4e00\u8d9f\u5feb\u901f\u6392\u5e8f\u3002<\/span>\n<\/p>\n

\n\t\u5728\u4e2d\u67a2\u5143\u7d20\u548ca[j]\u4ea4\u6362\u7684\u65f6\u5019\uff0c\u5f88\u6709\u53ef\u80fd\u628a\u524d\u9762\u7684\u5143\u7d20\u7684\u7a33\u5b9a\u6027\u6253\u4e71\uff0c\u6bd4\u5982\u5e8f\u5217\u4e3a 5 3 3 4 3 8 9 10 11 <\/span>\n<\/p>\n

\n\t\u73b0\u5728\u4e2d\u67a2\u5143\u7d205\u548c3(\u7b2c5\u4e2a\u5143\u7d20\uff0c\u4e0b\u6807\u4ece1\u5f00\u59cb\u8ba1)\u4ea4\u6362\u5c31\u4f1a\u628a\u5143\u7d203\u7684\u7a33\u5b9a\u6027\u6253\u4e71\u3002<\/span>\n<\/p>\n

\n\t\u6240\u4ee5\u5feb\u901f\u6392\u5e8f\u662f\u4e00\u4e2a\u4e0d\u7a33\u5b9a\u7684\u6392\u5e8f\u7b97\u6cd5\uff0c\u4e0d\u7a33\u5b9a\u53d1\u751f\u5728\u4e2d\u67a2\u5143\u7d20\u548ca[j]\u4ea4\u6362\u7684\u65f6\u523b\u3002 <\/span>\n<\/p>\n

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\n\t\u6ca1\u6709\uff0c\u5408\u5e76\u8fc7\u7a0b\u4e2d\u6211\u4eec\u53ef\u4ee5\u4fdd\u8bc1\u5982\u679c\u4e24\u4e2a\u5f53\u524d\u5143\u7d20\u76f8\u7b49\u65f6\uff0c\u6211\u4eec\u628a\u5904\u5728\u524d\u9762\u7684\u5e8f\u5217\u7684\u5143\u7d20\u4fdd\u5b58\u5728\u7ed3\u679c\u5e8f\u5217\u7684\u524d\u9762\uff0c\u8fd9\u6837\u5c31\u4fdd\u8bc1\u4e86\u7a33\u5b9a\u6027\u3002<\/span>\n<\/p>\n

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\n\t\uff086\uff09\u57fa\u6570\u6392\u5e8f<\/span>\n<\/p>\n

\n\t\u57fa\u6570\u6392\u5e8f\u662f\u6309\u7167\u4f4e\u4f4d\u5148\u6392\u5e8f\uff0c\u7136\u540e\u6536\u96c6\uff1b\u518d\u6309\u7167\u9ad8\u4f4d\u6392\u5e8f\uff0c\u7136\u540e\u518d\u6536\u96c6\uff1b\u4f9d\u6b21\u7c7b\u63a8\uff0c\u76f4\u5230\u6700\u9ad8\u4f4d\u3002<\/span>\n<\/p>\n

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\n\t\uff087\uff09\u5e0c\u5c14\u6392\u5e8f<\/span>\n<\/p>\n

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\n\t\u6240\u4ee5shell\u6392\u5e8f\u662f\u4e0d\u7a33\u5b9a\u7684\u6392\u5e8f\u7b97\u6cd5\u3002 <\/span>\n<\/p>\n

\n\t\uff088\uff09\u5806\u6392\u5e8f<\/span>\n<\/p>\n

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\u518d\u7b80\u5355\u5177\u4f53\u4e00\u70b9\uff0c\u5982\u679cA<\/span> i == A j\uff0cAi \u539f\u6765\u5728 <\/span>Aj \u4f4d\u7f6e\u524d\uff0c\u6392\u5e8f\u540e Ai  \u4ecd\u7136<\/span>\u662f…<\/span><\/span><\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[326],"tags":[],"class_list":["post-135","post","type-post","status-publish","format-standard","hentry"],"yoast_head":"\n[\u8f6c]\u5e38\u7528\u6392\u5e8f\u7b97\u6cd5\u7a33\u5b9a\u6027\u5206\u6790 - Wayne's Blog<\/title>\n<meta name=\"robots\" content=\"index, follow, max-snippet:-1, max-image-preview:large, max-video-preview:-1\" \/>\n<link rel=\"canonical\" href=\"http:\/\/weizn.net\/?p=135\" \/>\n<meta property=\"og:locale\" content=\"zh_CN\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"[\u8f6c]\u5e38\u7528\u6392\u5e8f\u7b97\u6cd5\u7a33\u5b9a\u6027\u5206\u6790 - 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