{"id":111238,"date":"2019-05-22T09:44:15","date_gmt":"2019-05-22T01:44:15","guid":{"rendered":"http:\/\/www.fagao.me\/?p=111238"},"modified":"2019-05-22T09:44:15","modified_gmt":"2019-05-22T01:44:15","slug":"%e6%90%9c%e7%b4%a2%e6%99%ba%e8%83%bd%e6%8f%90%e7%a4%basuggestion-%e9%99%84%e8%bf%91%e5%9c%b0%e7%82%b9%e6%90%9c%e7%b4%a2","status":"publish","type":"post","link":"https:\/\/www.fagao.me\/p\/111238.htm","title":{"rendered":"\u641c\u7d22\u667a\u80fd\u63d0\u793asuggestion \u9644\u8fd1\u5730\u70b9\u641c\u7d22"},"content":{"rendered":"
<\/div>\n

\u641c\u7d22\u667a\u80fd\u63d0\u793asuggestion <\/p>\n

\u9898\u76ee\u8be6\u60c5<\/strong>\uff1a\u767e\u5ea6\u641c\u7d22\u6846\u4e2d\uff0c\u8f93\u5165\u201c\u5317\u4eac\u201d\uff0c\u641c\u7d22\u6846\u4e0b\u9762\u4f1a\u4ee5\u5317\u4eac\u4e3a\u524d\u7f00\uff0c\u5c55\u793a\u201c\u5317\u4eac\u7231\u60c5\u6545\u4e8b\u201d\u3001\u201c\u5317\u4eac\u516c\u4ea4\u201d\u3001\u201c\u5317\u4eac\u533b\u9662\u201d\u7b49\u7b49\u641c\u7d22\u8bcd\uff0c\u8f93\u5165\u201c\u7ed3\u6784\u4e4b\u201d\uff0c\u4f1a\u63d0\u793a\u201c\u7ed3\u6784\u4e4b\u6cd5\u201d\uff0c\u201c\u7ed3\u6784\u4e4b\u6cd5 \u7b97\u6cd5\u4e4b\u9053\u201d\u7b49\u641c\u7d22\u8bcd\u3002<\/span><\/p>\n

\u8bf7\u95ee\uff0c\u5982\u4f55\u8bbe\u8ba1\u6b64\u7cfb\u7edf\uff0c\u4f7f\u5f97\u7a7a\u95f4\u548c\u65f6\u95f4\u590d\u6742\u5ea6\u5c3d\u91cf\u4f4e\u3002<\/p>\n

\n

\u9898\u76ee\u5206\u6790<\/strong>\uff1a\u672c\u9898\u6765\u6e90\u4e8e\u53bb\u5e742012\u5e74\u767e\u5ea6\u7684\u4e00\u5957\u5b9e\u4e60\u751f\u7b14\u8bd5\u9898\u4e2d\u7684\u7cfb\u7edf\u8bbe\u8ba1\u9898\uff08<\/span>\u4e3a\u5c0a\u91cd\u613f\u9898\uff0c\u672c\u7ae0\u4e3b\u8981\u4f7f\u7528\u767e\u5ea6\u641c\u7d22\u5f15\u64ce<\/a>\u5c55\u5f00\u8bba\u8ff0\uff0c\u800c\u4e0d\u662fgoogle\u7b49\u5176\u5b83\u641c\u7d22\u5f15\u64ce<\/a>\uff0c\u4f46\u539f\u7406\u4e0d\u4f1a\u5dee\u592a\u591a\u3002\u7136\u8131\u79bb\u672c\u9898\uff0c\u5e73\u65f6\u641c\u7684\u65f6\u5019\uff0c\u9f13\u52b1\u7528…<\/span>\uff09\uff0c\u9898\u76ee\u6bd4\u8f83\u5f00\u653e\uff0c\u8003\u5bdf\u7684\u76ee\u7684\u5728\u4e8e\u770b\u5e94\u8058\u8005\u89e3\u51b3\u95ee\u9898\u7684\u601d\u8def\u662f\u5426\u6e05\u6670\u660e\u786e\uff0c\u5176\u6b21\u4fbf\u662f\u770b\u80fd\u8003\u8651\u5230\u591a\u5c11\u7ec6\u8282\u3002<\/span><\/span><\/p>\n

\u6211\u53bb\u5e74\u6574\u7406\u6b64\u9898\u7684\u65f6\u5019\uff0c\u66fe\u7b80\u5355\u89e3\u6790\u8fc7\uff0c\u63d0\u51fa\u7684\u65b9\u6cd5\u662f\uff1a<\/span><\/p>\n

\n

\u76f4\u63a5\u4e0aTrie\u6811<\/strong>\u300cTrie\u6811\u7684\u4ecb\u7ecd\u89c1\uff1a\u4eceTrie\u6811\uff08\u5b57\u5178\u6811\uff09\u8c08\u5230\u540e\u7f00\u6811<\/span>\u300d + TOP K<\/strong>\u300chashmap+\u5806\uff0chashmap+\u5806 \u7edf\u8ba1\u51fa\u598210\u4e2a\u8fd1\u4f3c\u7684\u70ed\u8bcd\uff0c\u4e5f\u5c31\u662f\u8bf4\uff0c\u53ea\u5b58\u4e0e\u5173\u952e\u8bcd\u8fd1\u4f3c\u7684\u6bd4\u598210\u4e2a\u70ed\u8bcd<\/span>\u300d<\/span><\/p>\n<\/blockquote>\n

\u65b9\u6cd5\u5c31\u662f\u8fd9\u6837\u5b50\u7684\uff1aTrie\u6811+TOP K\u7b97\u6cd5\uff0c\u4f46\u5728\u5b9e\u9645\u4e2d\uff0c\u771f\u7684\u53ea\u8981Trie\u6811 + TOP K\u7b97\u6cd5\u5c31\u591f\u4e86\u4e48\uff0c\u6709\u4ec0\u4e48\u9700\u8981\u8003\u8651\u7684\u7ec6\u8282\uff1fOK\uff0c\u8bf7\u770b\u4e0b\u6587\u5a13\u5a13\u9053\u6765\u3002<\/span><\/p>\n

\u89e3\u6cd5\u4e00\u3001Trie\u6811 + TOP K<\/span>\u6b65\u9aa4\u4e00\u3001trie\u6811\u5b58\u50a8\u524d\u7f00\u540e\u7f00<\/span><\/p>\n

\u82e5\u770b\u8fc7\u535a\u5ba2\u5185\u8fd9\u7bc7\u4ecb\u7ecdTrie\u6811\u548c\u540e\u7f00\u6811\u7684\u6587\u7ae0<\/span>http:\/\/blog.csdn.net\/v_july_v\/article\/details\/6897097<\/span>\u7684\u8bdd\uff0c\u5e94\u8be5\u5c31\u80fd\u5bf9trie\u6811\u6709\u4e2a\u5927\u81f4\u7684\u4e86\u89e3\uff0c\u4e3a\u793a\u672c\u6587\u5b8c\u6574\u6027\uff0c\u5f15\u7528\u4e0b\u539f\u6587\u5185\u5bb9\uff0c\u5982\u4e0b\uff1a<\/span><\/span><\/p>\n

\u201c<\/strong><\/span>1.1\u3001\u4ec0\u4e48\u662fTrie\u6811<\/strong><\/span><\/span><\/p>\n

Trie\u6811\uff0c\u5373\u5b57\u5178\u6811\uff0c\u53c8\u79f0\u5355\u8bcd\u67e5\u627e\u6811\u6216\u952e\u6811\uff0c\u662f\u4e00\u79cd\u6811\u5f62\u7ed3\u6784\uff0c\u662f\u4e00\u79cd\u54c8\u5e0c\u6811\u7684\u53d8\u79cd\u3002\u5178\u578b\u5e94\u7528\u662f\u7528\u4e8e\u7edf\u8ba1\u548c\u6392\u5e8f\u5927\u91cf\u7684\u5b57\u7b26\u4e32\uff08\u4f46\u4e0d\u4ec5\u9650\u4e8e\u5b57\u7b26\u4e32\uff09\uff0c\u6240\u4ee5\u7ecf\u5e38\u88ab\u641c\u7d22\u5f15\u64ce<\/a>\u7cfb\u7edf\u7528\u4e8e\u6587\u672c\u8bcd\u9891\u7edf\u8ba1\u3002\u5b83\u7684\u4f18\u70b9\u662f\uff1a\u6700\u5927\u9650\u5ea6\u5730\u51cf\u5c11\u65e0\u8c13\u7684\u5b57\u7b26\u4e32\u6bd4\u8f83\uff0c\u67e5\u8be2\u6548\u7387\u6bd4\u54c8\u5e0c\u8868\u9ad8\u3002<\/span><\/p>\n

Trie\u7684\u6838\u5fc3\u601d\u60f3\u662f\u7a7a\u95f4\u6362\u65f6\u95f4\u3002\u5229\u7528\u5b57\u7b26\u4e32\u7684\u516c\u5171\u524d\u7f00\u6765\u964d\u4f4e\u67e5\u8be2\u65f6\u95f4\u7684\u5f00\u9500\u4ee5\u8fbe\u5230\u63d0\u9ad8\u6548\u7387\u7684\u76ee\u7684\u3002<\/span><\/p>\n

\u5b83\u67093\u4e2a\u57fa\u672c\u6027\u8d28\uff1a<\/p>\n

\n
    \n
  1. \n

    \u6839\u8282\u70b9\u4e0d\u5305\u542b\u5b57\u7b26\uff0c\u9664\u6839\u8282\u70b9\u5916\u6bcf\u4e00\u4e2a\u8282\u70b9\u90fd\u53ea\u5305\u542b\u4e00\u4e2a\u5b57\u7b26\u3002<\/span><\/p>\n<\/li>\n

  2. \n

    \u4ece\u6839\u8282\u70b9\u5230\u67d0\u4e00\u8282\u70b9\uff0c\u8def\u5f84\u4e0a\u7ecf\u8fc7\u7684\u5b57\u7b26\u8fde\u63a5\u8d77\u6765\uff0c\u4e3a\u8be5\u8282\u70b9\u5bf9\u5e94\u7684\u5b57\u7b26\u4e32\u3002<\/span><\/p>\n<\/li>\n

  3. \n

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    <\/p>\n

    1.2\u3001\u6811\u7684\u6784\u5efa<\/span><\/p>\n

    \u4e3e\u4e2a\u5728\u7f51\u4e0a\u6d41\u4f20\u9887\u5e7f\u7684\u4f8b\u5b50\uff0c\u5982\u4e0b\uff1a<\/span><\/p>\n

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    \u597d\u6bd4\u5047\u8bbe\u6709b\uff0cabc\uff0cabd\uff0cbcd\uff0cabcd\uff0cefg\uff0chii \u8fd96\u4e2a\u5355\u8bcd\uff0c\u6211\u4eec\u6784\u5efa\u7684\u6811\u5c31\u662f\u5982\u4e0b\u56fe\u8fd9\u6837\u7684\uff1a<\/span><\/p>\n<\/p>\n

    \u5f53\u65f6\u7b2c\u4e00\u6b21\u770b\u5230\u8fd9\u5e45\u56fe\u7684\u65f6\u5019\uff0c\u4fbf\u7acb\u9a6c\u611f\u5230\u6b64\u6811\u4e4b\u4e0d\u51e1\u6784\u9020\u4e86\u3002\u5355\u5355\u4ece\u4e0a\u5e45\u56fe\u4fbf\u53ef\u7aa5\u77e5\u4e00\u4e8c\uff0c\u597d\u6bd4\u5927\u6d77\u641c\u4eba\uff0c\u7acb\u9a6c\u5c31\u80fd\u786e\u5b9a\u4e1c\u5357\u897f\u5317\u4e2d\u7684\u5230\u5e95\u54ea\u4e2a\u65b9\u4f4d\uff0c\u5982\u6b64\u8fc5\u901f\u7f29\u5c0f\u67e5\u627e\u7684\u8303\u56f4\u548c\u63d0\u9ad8\u67e5\u627e\u7684\u9488\u5bf9\u6027\uff0c\u4e0d\u5931\u4e3a\u4e00\u521b\u4e3e\u3002<\/span><\/p>\n

    ok\uff0c\u5982\u4e0a\u56fe\u6240\u793a\uff0c\u5bf9\u4e8e\u6bcf\u4e00\u4e2a\u8282\u70b9\uff0c\u4ece\u6839\u904d\u5386\u5230\u4ed6\u7684\u8fc7\u7a0b\u5c31\u662f\u4e00\u4e2a\u5355\u8bcd\uff0c\u5982\u679c\u8fd9\u4e2a\u8282\u70b9\u88ab\u6807\u8bb0\u4e3a\u7ea2<\/span>\u8272\uff0c\u5c31\u8868\u793a\u8fd9\u4e2a\u5355\u8bcd\u5b58\u5728\uff0c\u5426\u5219\u4e0d\u5b58\u5728\u3002<\/span><\/p>\n

    \u90a3\u4e48\uff0c\u5bf9\u4e8e\u4e00\u4e2a\u5355\u8bcd\uff0c\u6211\u53ea\u8981\u987a\u7740\u4ed6\u4ece\u6839\u8d70\u5230\u5bf9\u5e94\u7684\u8282\u70b9\uff0c\u518d\u770b\u8fd9\u4e2a\u8282\u70b9\u662f\u5426\u88ab\u6807\u8bb0\u4e3a\u7ea2\u8272\u5c31\u53ef\u4ee5\u77e5\u9053\u5b83\u662f\u5426\u51fa\u73b0\u8fc7\u4e86\u3002\u628a\u8fd9\u4e2a\u8282\u70b9\u6807\u8bb0\u4e3a\u7ea2\u8272\uff0c\u5c31\u76f8\u5f53\u4e8e\u63d2\u5165\u4e86\u8fd9\u4e2a\u5355\u8bcd\u3002<\/span>\u201d<\/strong><\/span><\/span><\/p>\n

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    \u6b65\u9aa4\u4e8c\u3001TOP K\u7b97\u6cd5\u7edf\u8ba1\u70ed\u8bcd<\/span><\/p>\n

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    <\/blockquote>\n

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    \n

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    \u6545\u8bf4\u767d\u4e86\uff0c\u8fd9\u4e2a\u95ee\u9898\u7684\u7b2c\u4e8c\u4e2a\u6b65\u9aa4\u4fbf\u662f\u7edf\u8ba1\u70ed\u8bcd\uff0c\u6211\u4eec\u628a\u7edf\u8ba1\u70ed\u8bcd\u7684\u65b9\u6cd5\u79f0\u4e3aTOP K\u7b97\u6cd5\uff0c\u6b64\u7b97\u6cd5\u7684\u5e94\u7528\u573a\u666f\u4fbf\u662f\u6b64\u6587<\/span>http:\/\/blog.csdn.net\/v_july_v\/article\/details\/7382693<\/span>\u4e2d\u7684\u7b2c2\u4e2a\u95ee\u9898\uff0c\u518d\u6b21\u539f\u6587\u5f15\u7528\uff1a<\/span><\/span><\/p>\n

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      \n
    1. \n

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    2. \n

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      \u522b\u5fd8\u4e86\u8fd9\u7bc7\u6587\u7ae0\u4e2d\u6240\u8ff0\u7684\u5806\u6392\u5e8f\u601d\u8def\uff1a\u2018\u7ef4\u62a4k\u4e2a\u5143\u7d20\u7684\u6700\u5c0f\u5806\uff0c\u5373\u7528\u5bb9\u91cf\u4e3ak\u7684\u6700\u5c0f\u5806\u5b58\u50a8\u6700\u5148\u904d\u5386\u5230\u7684k\u4e2a\u6570\uff0c\u5e76\u5047\u8bbe\u5b83\u4eec\u5373\u662f\u6700\u5927\u7684k\u4e2a\u6570\uff0c\u5efa\u5806\u8d39\u65f6O\uff08k\uff09\uff0c\u5e76\u8c03\u6574\u5806(\u8d39\u65f6O\uff08logk\uff09)\u540e\uff0c\u6709k1>k2>…kmin\uff08kmin\u8bbe\u4e3a\u5c0f\u9876\u5806\u4e2d\u6700\u5c0f\u5143\u7d20\uff09\u3002\u7ee7\u7eed\u904d\u5386\u6570\u5217\uff0c\u6bcf\u6b21\u904d\u5386\u4e00\u4e2a\u5143\u7d20x\uff0c\u4e0e\u5806\u9876\u5143\u7d20\u6bd4\u8f83\uff0c\u82e5x>kmin\uff0c\u5219\u66f4\u65b0\u5806\uff08x\u5165\u5806\uff0c\u7528\u65f6logk\uff09\uff0c\u5426\u5219\u4e0d\u66f4\u65b0\u5806\u3002\u8fd9\u6837\u4e0b\u6765\uff0c\u603b\u8d39\u65f6O\uff08k*logk+\uff08n-k\uff09*logk\uff09=O\uff08n*logk\uff09\u3002\u6b64\u65b9\u6cd5\u5f97\u76ca\u4e8e\u5728\u5806\u4e2d\uff0c\u67e5\u627e\u7b49\u5404\u9879\u64cd\u4f5c\u65f6\u95f4\u590d\u6742\u5ea6\u5747\u4e3alogk\u3002\u2019–<\/span>\u7b2c\u4e09\u7ae0\u7eed\u3001Top K\u7b97\u6cd5\u95ee\u9898\u7684\u5b9e\u73b0<\/span>\u3002<\/span><\/p>\n

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      \u76f8\u4fe1\uff0c\u5982\u6b64\uff0c\u4e5f\u5c31\u4e0d\u96be\u7406\u89e3\u5f00\u5934\u6240\u63d0\u51fa\u7684\u65b9\u6cd5\u4e86\uff1aTrie\u6811+ TOP K\u300chashmap+\u5806\uff0chashmap+\u5806 \u7edf\u8ba1\u51fa\u598210\u4e2a\u8fd1\u4f3c\u7684\u70ed\u8bcd\uff0c\u4e5f\u5c31\u662f\u8bf4\uff0c\u53ea\u5b58\u4e0e\u5173\u952e\u8bcd\u8fd1\u4f3c\u7684\u6bd4\u598210\u4e2a\u70ed\u8bcd\u300d\u3002<\/span><\/p>\n

      \u800c\u4e14\u4f60\u4ee5\u540e\u5c31\u53ef\u4ee5\u544a\u8bc9\u4f60\u8eab\u8fb9\u7684\u4f19\u4f34\u4eec\uff0c\u4e3a\u4f55\u8f93\u5165\u201c\u7ed3\u6784\u4e4b\u201d\uff0c\u4f1a\u63d0\u793a\u51fa\u6765\u4e00\u5806\u4ee5\u201c\u7ed3\u6784\u4e4b\u201d\u4e3a\u524d\u7f00\u7684\u8bcd\u62c9\uff1a<\/span><\/p>\n<\/p>\n

      \u65b9\u6cd5\u8c8c\u4f3c\u6210\u578b\u4e86\uff0c\u4f46\u6709\u54ea\u4e9b\u9700\u8981\u6ce8\u610f\u7684\u7ec6\u8282\u5462\uff1f\u5982@\u6c5f\u7533_Johnson\u6240\u8bf4\uff1a\u201c\u5b9e\u9645\u5de5\u4f5c\u91cc\uff0c\u6bd4\u5982\u5f53\u524d\u7f00\u5f88\u77ed\u7684\u65f6\u5019\uff0c\u5019\u9009\u8bcd\u5f88\u591a\u7684\u65f6\u5019\uff0c\u67e5\u8be2\u548c\u6392\u5e8f\u6027\u80fd\u53ef\u80fd\u6709\u95ee\u9898\uff0c\u4e5f\u8bb8\u53ef\u4ee5\u52a0\u4e00\u5c42\u7d22\u5f15trie\uff08\u8fd9\u5c42\u7d22\u5f15\u53ef\u4ee5\u53ea\u7d22\u5f15\u9891\u7387\u9ad8\u4e8e\u67d0\u4e00\u4e2a\u9608\u503c\u7684\u8bcd\uff0c\u5f88\u77ed\u7684\u65f6\u5019\u67e5\u8fd9\u4e2a\u5c31\u53ef\u4ee5\u4e86\u3002\u6570\u91cf\u4e0d\u591f\u7684\u8bdd\u518d\u53bb\u67e5\u7d22\u5f15\u4e86\u5168\u90e8\u8bcd\u7684trie\u6811\uff09\uff1b\u800c\u4e14\u6709\u65f6\u5019\u4e0d\u80fd\u6839\u636equery\u9891\u7387\u6765\u6392\uff0c\u800c\u8981\u5f15\u5bfc\u7528\u6237\u8f93\u5165\u4fe1\u606f\u91cf\u66f4\u5168\u9762\u7684query\uff0c\u6216\u8005\u6216\u4e0d\u4ec5\u4ec5\u662f\u524d\u7f00\u5339\u914d\u8fd9\u4e48\u7b80\u5355\u3002\u201d<\/span><\/p>\n

      \u6269\u5c55\u9605\u8bfb<\/span><\/p>\n

      \u9664\u4e86\u4e0a\u6587\u63d0\u5230\u7684trie\u6811\uff0c\u4e09\u53c9\u6811\u6216\u8bb8\u4e5f\u662f\u4e00\u4e2a\u4e0d\u9519\u7684\u89e3\u51b3\u65b9\u6848\uff1a<\/span>http:\/\/igoro.com\/archive\/efficient-auto-complete-with-a-ternary-search-tree\/<\/span>\u3002\u6b64\u5916\uff0cStackOverflow\u4e0a\u4e5f\u6709\u4e24\u4e2a\u8ba8\u8bba\u5e16\u5b50\uff0c\u5927\u5bb6\u53ef\u4ee5\u770b\u770b\uff1a\u2460<\/span>http:\/\/stackoverflow.com\/questions\/2901831\/algorithm-for-autocomplete<\/span>\uff0c\u2461<\/span>http:\/\/stackoverflow.com\/questions\/1783652\/what-is-the-best-autocomplete-suggest-algorithm-datastructure-c-c<\/span>\u3002<\/span><\/span><\/span><\/p>\n

      \u9644\u8fd1\u5730\u70b9\u641c\u7d22<\/span><\/p>\n

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      \u9898\u76ee\u5206\u6790<\/strong>\uff1a\u6b64\u9898\u662f\u53bb\u5e74\u5fae\u8f6f\u7684\u4e09\u9762\u9898\uff0c\u7c7b\u4f3c\u4e8e\u4e00\u670b\u53cb@\u9648\u5229\u4eba \u51fa\u7684\u8fd9\u9898\uff1a\u9644\u8fd1\u5730\u70b9\u641c\u7d22\uff0c\u5c31\u662f\u641c\u7d22\u7528\u6237\u9644\u8fd1\u6709\u54ea\u4e9b\u5730\u70b9\u3002\u968f\u7740GPS\u548c\u5e26\u6709GPS\u529f\u80fd\u7684\u79fb\u52a8\u8bbe\u5907\u7684\u666e\u53ca\uff0c\u9644\u8fd1\u5730\u70b9\u641c\u7d22\u4e5f\u53d8\u5f97\u7099\u624b\u53ef\u70ed\u3002\u5728\u5e9e\u5927\u7684\u5730\u7406\u6570\u636e\u5e93\u4e2d\u641c\u7d22\u5730\u70b9\uff0c\u7d22\u5f15\u662f\u5f88\u91cd\u8981\u7684\u3002\u4f46\u662f\uff0c\u6211\u4eec\u7684\u9700\u6c42\u662f\u641c\u7d22\u9644\u8fd1\u5730\u70b9\uff0c\u4f8b\u5982\uff0c\u5750\u6807(39.91, 116.37)\u9644\u8fd1500\u7c73\u5185\u6709\u4ec0\u4e48\u9910\u9986\uff0c\u90a3\u4e48\u8ba9\u4f60\u6765\u8bbe\u8ba1\uff0c\u8be5\u600e\u4e48\u505a\uff1f<\/span><\/p>\n

      \n

      \u89e3\u6cd5\u4e00\u3001R\u6811\u4e8c\u7ef4\u641c\u7d22<\/span><\/p>\n

      \u5047\u5b9a\u53ea\u5141\u8bb8\u4f60\u521d\u4e2d\u6570\u5b66\u77e5\u8bc6\uff0c\u90a3\u4e48\u4f60\u53ef\u80fd\u5efa\u4e00\u4e2aX-Y\u5750\u6807\u7cfb\uff0c\u5373\u4ee5\u5750\u6807(39.91, 116.37)\u4e3a\u5706\u5fc3\uff0c\u4ee5500\u7684\u957f\u5ea6\u4e3a\u534a\u5f84\uff0c\u753b\u4e00\u4e2a\u56ed\uff0c\u7136\u540e\u4e00\u4e2a\u4e00\u4e2a\u5750\u6807\u70b9\u7684\u53bb\u67e5\u627e\u3002\u6b64\u6cd5\u770b\u4f3c\u53ef\u884c\uff0c\u4f46\u590d\u6742\u5ea6\u53ef\u60f3\u800c\u77e5\uff0c\u5373\u4fbf\u4f60\u81ea\u4ee5\u4e3a\u806a\u660e\u7684\u8bf4\u628a\u6574\u4e2a\u5e73\u9762\u5212\u5206\u4e3a\u56db\u4e2a\u8c61\u9650\uff0c\u4e00\u4e2a\u4e00\u4e2a\u8c61\u9650\u7684\u67e5\u627e\uff0c\u6b64\u4e3e\u867d\u7136\u4f18\u5316\u7a0b\u5ea6\u4e0d\u591f\uff0c\u4f46\u4e5f\u8bf4\u660e\u4f60\u4e00\u6b65\u6b65\u60f3\u5230\u70b9\u5b50\u4e0a\u53bb\u4e86\u3002<\/span><\/span><\/p>\n

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      \u82e5\u770b\u8fc7\u535a\u5ba2\u5185\u4e4b\u524d\u4ecb\u7ecdR\u6811\u7684\u8fd9\u7bc7\u6587\u7ae0<\/span>2019\/20190426A\/F0112909 \u7684\u8bfb\u8005\u7acb\u9a6c\u4fbf\u80fd\u610f\u8bc6\u5230\uff0cR\u6811\u5c31\u662f\u89e3\u51b3\u8fd9\u4e2a\u533a\u57df\u67e5\u627e\u7ee7\u800c\u4e0d\u65ad\u7f29\u5c0f\u89c4\u6a21\u7684\u95ee\u9898\u3002<\/span>\u7279\u76f4\u63a5\u5f15\u7528\u539f\u6587\uff1a<\/span><\/span><\/p>\n

      \u201c<\/span>R\u6811\u7684\u6570\u636e\u7ed3\u6784<\/span><\/span><\/p>\n

      R\u6811\u662fB\u6811\u5728\u9ad8\u7ef4\u7a7a\u95f4\u7684\u6269\u5c55\uff0c\u662f\u4e00\u68f5\u5e73\u8861\u6811\u3002\u6bcf\u4e2aR\u6811\u7684\u53f6\u5b50\u7ed3\u70b9\u5305\u542b\u4e86\u591a\u4e2a\u6307\u5411\u4e0d\u540c\u6570\u636e\u7684\u6307\u9488\uff0c\u8fd9\u4e9b\u6570\u636e\u53ef\u4ee5\u662f\u5b58\u653e\u5728\u786c\u76d8\u4e2d\u7684\uff0c\u4e5f\u53ef\u4ee5\u662f\u5b58\u5728\u5185\u5b58\u4e2d\u3002\u6839\u636eR\u6811\u7684\u8fd9\u79cd\u6570\u636e\u7ed3\u6784\uff0c\u5f53\u6211\u4eec\u9700\u8981\u8fdb\u884c\u4e00\u4e2a\u9ad8\u7ef4\u7a7a\u95f4\u67e5\u8be2\u65f6\uff0c\u6211\u4eec\u53ea\u9700\u8981\u904d\u5386\u5c11\u6570\u51e0\u4e2a\u53f6\u5b50\u7ed3\u70b9\u6240\u5305\u542b\u7684\u6307\u9488\uff0c\u67e5\u770b\u8fd9\u4e9b\u6307\u9488\u6307\u5411\u7684\u6570\u636e\u662f\u5426\u6ee1\u8db3\u8981\u6c42\u5373\u53ef\u3002\u8fd9\u79cd\u65b9\u5f0f\u4f7f\u6211\u4eec\u4e0d\u5fc5\u904d\u5386\u6240\u6709\u6570\u636e\u5373\u53ef\u83b7\u5f97\u7b54\u6848\uff0c\u6548\u7387\u663e\u8457\u63d0\u9ad8\u3002\u4e0b\u56fe1\u662fR\u6811\u7684\u4e00\u4e2a\u7b80\u5355\u5b9e\u4f8b\uff1a<\/span><\/p>\n

      \n

      \u6211\u4eec\u5728\u4e0a\u9762\u8bf4\u8fc7\uff0cR\u6811\u8fd0\u7528\u4e86\u7a7a\u95f4\u5206\u5272\u7684\u7406\u5ff5\uff0c\u8fd9\u79cd\u7406\u5ff5\u662f\u5982\u4f55\u5b9e\u73b0\u7684\u5462\uff1fR\u6811\u91c7\u7528\u4e86\u4e00\u79cd\u79f0\u4e3aMBR(Minimal Bounding Rectangle)\u7684\u65b9\u6cd5\uff0c\u5728\u6b64\u6211\u628a\u5b83\u8bd1\u4f5c\u201c\u6700\u5c0f\u8fb9\u754c\u77e9\u5f62\u201d\u3002\u4ece\u53f6\u5b50\u7ed3\u70b9\u5f00\u59cb\u7528\u77e9\u5f62\uff08rectangle\uff09\u5c06\u7a7a\u95f4\u6846\u8d77\u6765\uff0c\u7ed3\u70b9\u8d8a\u5f80\u4e0a\uff0c\u6846\u4f4f\u7684\u7a7a\u95f4\u5c31\u8d8a\u5927\uff0c\u4ee5\u6b64\u5bf9\u7a7a\u95f4\u8fdb\u884c\u5206\u5272\u3002\u6709\u70b9\u4e0d\u61c2\uff1f\u6ca1\u5173\u7cfb\uff0c\u7ee7\u7eed\u5f80\u4e0b\u770b\u3002\u5728\u8fd9\u91cc\u6211\u8fd8\u60f3\u63d0\u4e00\u4e0b\uff0cR\u6811\u4e2d\u7684R\u5e94\u8be5\u4ee3\u8868\u7684\u662fRectangle\uff08\u6b64\u5904\u53c2\u8003wikipedia\u4e0a\u5173\u4e8eR\u6811\u7684\u4ecb\u7ecd\uff09\uff0c\u800c\u4e0d\u662f\u5927\u591a\u6570\u56fd\u5185\u6559\u6750\u4e2d\u6240\u8bf4\u7684Region\uff08\u5f88\u591a\u4e66\u628aR\u6811\u79f0\u4e3a\u533a\u57df\u6811\uff0c\u8fd9\u662f\u6709\u8bef\u7684\uff09\u3002\u6211\u4eec\u5c31\u62ff\u4e8c\u7ef4\u7a7a\u95f4\u6765\u4e3e\u4f8b\u3002\u4e0b\u56fe\u662fGuttman\u8bba\u6587\u4e2d\u7684\u4e00\u5e45\u56fe\uff1a<\/span><\/p>\n

      \n

      \n<\/blockquote>\n

      \u6211\u6765\u8be6\u7ec6\u89e3\u91ca\u4e00\u4e0b\u8fd9\u5f20\u56fe\u3002<\/span><\/span><\/p>\n

        \n
      1. \n

        \u5148\u6765\u770b\u56fe\uff08b\uff09\uff0c\u9996\u5148\u6211\u4eec\u5047\u8bbe\u6240\u6709\u6570\u636e\u90fd\u662f\u4e8c\u7ef4\u7a7a\u95f4\u4e0b\u7684\u70b9\uff0c\u56fe\u4e2d\u4ec5\u4ec5\u6807\u5fd7\u4e86R8\u533a\u57df\u4e2d\u7684\u6570\u636e\uff0c\u4e5f\u5c31\u662f\u90a3\u4e2ashape of data object\u3002\u522b\u628a\u90a3\u4e00\u5757\u4e0d\u89c4\u5219\u56fe\u5f62\u770b\u6210\u4e00\u4e2a\u6570\u636e\uff0c\u6211\u4eec\u628a\u5b83\u770b\u4f5c\u662f\u591a\u4e2a\u6570\u636e\u56f4\u6210\u7684\u4e00\u4e2a\u533a\u57df\u3002\u4e3a\u4e86\u5b9e\u73b0R\u6811\u7ed3\u6784\uff0c\u6211\u4eec\u7528\u4e00\u4e2a\u6700\u5c0f\u8fb9\u754c\u77e9\u5f62\u6070\u597d\u6846\u4f4f\u8fd9\u4e2a\u4e0d\u89c4\u5219\u533a\u57df\uff0c\u8fd9\u6837\uff0c\u6211\u4eec\u5c31\u6784\u9020\u51fa\u4e86\u4e00\u4e2a\u533a\u57df\uff1aR8\u3002R8\u7684\u7279\u70b9\u5f88\u660e\u663e\uff0c\u5c31\u662f\u6b63\u6b63\u597d\u597d\u6846\u4f4f\u6240\u6709\u5728\u6b64\u533a\u57df\u4e2d\u7684\u6570\u636e\u3002<\/span><\/p>\n<\/li>\n

      2. \n

        \u5176\u4ed6\u5b9e\u7ebf\u5305\u56f4\u4f4f\u7684\u533a\u57df\uff0c\u5982R9\uff0cR10\uff0cR12\u7b49\u90fd\u662f\u540c\u6837\u7684\u9053\u7406\u3002\u8fd9\u6837\u4e00\u6765\uff0c\u6211\u4eec\u4e00\u5171\u5f97\u5230\u4e8612\u4e2a\u6700\u6700\u57fa\u672c\u7684\u6700\u5c0f\u77e9\u5f62\u3002\u8fd9\u4e9b\u77e9\u5f62\u90fd\u5c06\u88ab\u5b58\u50a8\u5728\u5b50\u7ed3\u70b9\u4e2d\u3002<\/span><\/p>\n<\/li>\n

      3. \n

        \u4e0b\u4e00\u6b65\u64cd\u4f5c\u5c31\u662f\u8fdb\u884c\u9ad8\u4e00\u5c42\u6b21\u7684\u5904\u7406\u3002\u6211\u4eec\u53d1\u73b0R8\uff0cR9\uff0cR10\u4e09\u4e2a\u77e9\u5f62\u8ddd\u79bb\u6700\u4e3a\u9760\u8fd1\uff0c\u56e0\u6b64\u5c31\u53ef\u4ee5\u7528\u4e00\u4e2a\u66f4\u5927\u7684\u77e9\u5f62R3\u6070\u597d\u6846\u4f4f\u8fd93\u4e2a\u77e9\u5f62\u3002<\/span><\/p>\n<\/li>\n

      4. \n

        \u540c\u6837\u9053\u7406\uff0cR15\uff0cR16\u88abR6\u6070\u597d\u6846\u4f4f\uff0cR11\uff0cR12\u88abR4\u6070\u597d\u6846\u4f4f\uff0c\u7b49\u7b49\u3002\u6240\u6709\u6700\u57fa\u672c\u7684\u6700\u5c0f\u8fb9\u754c\u77e9\u5f62\u88ab\u6846\u5165\u66f4\u5927\u7684\u77e9\u5f62\u4e2d\u4e4b\u540e\uff0c\u518d\u6b21\u8fed\u4ee3\uff0c\u7528\u66f4\u5927\u7684\u6846\u53bb\u6846\u4f4f\u8fd9\u4e9b\u77e9\u5f62\u3002<\/span><\/p>\n<\/li>\n<\/ol>\n

        \u6211\u60f3\u5927\u5bb6\u90fd\u5e94\u8be5\u7406\u89e3\u8fd9\u4e2a\u6570\u636e\u7ed3\u6784\u7684\u7279\u5f81\u4e86\u3002\u7528\u5730\u56fe\u7684\u4f8b\u5b50\u6765\u89e3\u91ca\uff0c\u5c31\u662f\u6240\u6709\u7684\u6570\u636e\u90fd\u662f\u9910\u5385\u6240\u5bf9\u5e94\u7684\u5730\u70b9\uff0c\u5148\u628a\u76f8\u90bb\u7684\u9910\u5385\u5212\u5206\u5230\u540c\u4e00\u5757\u533a\u57df\uff0c\u5212\u5206\u597d\u6240\u6709\u9910\u5385\u4e4b\u540e\uff0c\u518d\u628a\u90bb\u8fd1\u7684\u533a\u57df\u5212\u5206\u5230\u66f4\u5927\u7684\u533a\u57df\uff0c\u5212\u5206\u5b8c\u6bd5\u540e\u518d\u6b21\u8fdb\u884c\u66f4\u9ad8\u5c42\u6b21\u7684\u5212\u5206\uff0c\u76f4\u5230\u5212\u5206\u5230\u53ea\u5269\u4e0b\u4e24\u4e2a\u6700\u5927\u7684\u533a\u57df\u4e3a\u6b62\u3002\u8981\u67e5\u627e\u7684\u65f6\u5019\u5c31\u65b9\u4fbf\u4e86\u3002<\/span><\/p>\n

        \u4e0b\u9762\u5c31\u53ef\u4ee5\u628a\u8fd9\u4e9b\u5927\u5927\u5c0f\u5c0f\u7684\u77e9\u5f62\u5b58\u5165\u6211\u4eec\u7684R\u6811\u4e2d\u53bb\u4e86\u3002\u6839\u7ed3\u70b9\u5b58\u653e\u7684\u662f\u4e24\u4e2a\u6700\u5927\u7684\u77e9\u5f62\uff0c\u8fd9\u4e24\u4e2a\u6700\u5927\u7684\u77e9\u5f62\u6846\u4f4f\u4e86\u6240\u6709\u7684\u5269\u4f59\u7684\u77e9\u5f62\uff0c\u5f53\u7136\u4e5f\u5c31\u6846\u4f4f\u4e86\u6240\u6709\u7684\u6570\u636e\u3002\u4e0b\u4e00\u5c42\u7684\u7ed3\u70b9\u5b58\u653e\u4e86\u6b21\u5927\u7684\u77e9\u5f62\uff0c\u8fd9\u4e9b\u77e9\u5f62\u7f29\u5c0f\u4e86\u8303\u56f4\u3002\u6bcf\u4e2a\u53f6\u5b50\u7ed3\u70b9\u90fd\u662f\u5b58\u653e\u7684\u6700\u5c0f\u7684\u77e9\u5f62\uff0c\u8fd9\u4e9b\u77e9\u5f62\u4e2d\u53ef\u80fd\u5305\u542b\u6709n\u4e2a\u6570\u636e\u3002<\/span><\/p>\n

        \u5730\u56fe\u67e5\u627e\u7684\u5b9e\u4f8b<\/strong><\/span><\/p>\n

        \u8bb2\u5b8c\u4e86\u57fa\u672c\u7684\u6570\u636e\u7ed3\u6784\uff0c\u6211\u4eec\u6765\u8bb2\u4e2a\u5b9e\u4f8b\uff0c\u5982\u4f55\u67e5\u8be2\u7279\u5b9a\u7684\u6570\u636e\u3002\u53c8\u4ee5\u9910\u5385\u4e3a\u4f8b\uff0c\u5047\u8bbe\u6211\u8981\u67e5\u8be2\u5e7f\u5dde\u5e02\u5929\u6cb3\u533a\u5929\u6cb3\u57ce\u9644\u8fd1\u4e00\u516c\u91cc\u7684\u6240\u6709\u9910\u5385\u5730\u5740\u600e\u4e48\u529e\uff1f<\/span><\/p>\n

          \n
        1. \n

          \u6253\u5f00\u5730\u56fe\uff08\u4e5f\u5c31\u662f\u6574\u4e2aR\u6811\uff09\uff0c\u5148\u9009\u62e9\u56fd\u5185\u8fd8\u662f\u56fd\u5916\uff08\u4e5f\u5c31\u662f\u6839\u7ed3\u70b9\uff09\uff1b<\/span><\/p>\n<\/li>\n

        2. \n

          \u7136\u540e\u9009\u62e9\u534e\u5357\u5730\u533a\uff08\u5bf9\u5e94\u7b2c\u4e00\u5c42\u7ed3\u70b9\uff09\uff0c\u9009\u62e9\u5e7f\u5dde\u5e02\uff08\u5bf9\u5e94\u7b2c\u4e8c\u5c42\u7ed3\u70b9\uff09\uff0c<\/span><\/p>\n<\/li>\n

        3. \n

          \u518d\u9009\u62e9\u5929\u6cb3\u533a\uff08\u5bf9\u5e94\u7b2c\u4e09\u5c42\u7ed3\u70b9\uff09\uff1b<\/span><\/p>\n<\/li>\n

        4. \n

          \u6700\u540e\u9009\u62e9\u5929\u6cb3\u57ce\u6240\u5728\u7684\u90a3\u4e2a\u533a\u57df\uff08\u5bf9\u5e94\u53f6\u5b50\u7ed3\u70b9\uff0c\u5b58\u653e\u6709\u6700\u5c0f\u77e9\u5f62\uff09\uff1b<\/span><\/p>\n<\/li>\n<\/ol>\n

          \u904d\u5386\u6240\u6709\u5728\u6b64\u533a\u57df\u5185\u7684\u7ed3\u70b9\uff0c\u770b\u662f\u5426\u6ee1\u8db3\u6211\u4eec\u7684\u8981\u6c42\u5373\u53ef\u3002\u600e\u4e48\u6837\uff0c\u5176\u5b9eR\u6811\u7684\u67e5\u627e\u89c4\u5219\u8ddf\u67e5\u5730\u56fe\u5f88\u50cf\u5427\uff1f\u5bf9\u5e94\u4e0b\u56fe\uff1a<\/span><\/p>\n

          \n<\/blockquote>\n

          \u4e00\u68f5R\u6811\u6ee1\u8db3\u5982\u4e0b\u7684\u6027\u8d28\uff1a<\/span><\/strong><\/span><\/p>\n

            \n
          1. \n

            \u9664\u975e\u5b83\u662f\u6839\u7ed3\u70b9\u4e4b\u5916\uff0c\u6240\u6709\u53f6\u5b50\u7ed3\u70b9\u5305\u542b\u6709m\u81f3M\u4e2a\u8bb0\u5f55\u7d22\u5f15\uff08\u6761\u76ee\uff09\u3002\u4f5c\u4e3a\u6839\u7ed3\u70b9\u7684\u53f6\u5b50\u7ed3\u70b9\u6240\u5177\u6709\u7684\u8bb0\u5f55\u4e2a\u6570\u53ef\u4ee5\u5c11\u4e8em\u3002\u901a\u5e38\uff0cm=M\/2\u3002<\/span><\/p>\n<\/li>\n

          2. \n

            \u5bf9\u4e8e\u6240\u6709\u5728\u53f6\u5b50\u4e2d\u5b58\u50a8\u7684\u8bb0\u5f55\uff08\u6761\u76ee\uff09\uff0cI\u662f\u6700\u5c0f\u7684\u53ef\u4ee5\u5728\u7a7a\u95f4\u4e2d\u5b8c\u5168\u8986\u76d6\u8fd9\u4e9b\u8bb0\u5f55\u6240\u4ee3\u8868\u7684\u70b9\u7684\u77e9\u5f62\uff08\u6ce8\u610f\uff1a\u6b64\u5904\u6240\u8bf4\u7684\u201c\u77e9\u5f62\u201d\u662f\u53ef\u4ee5\u6269\u5c55\u5230\u9ad8\u7ef4\u7a7a\u95f4\u7684\uff09\u3002<\/span><\/p>\n<\/li>\n

          3. \n

            \u6bcf\u4e00\u4e2a\u975e\u53f6\u5b50\u7ed3\u70b9\u62e5\u6709m\u81f3M\u4e2a\u5b69\u5b50\u7ed3\u70b9\uff0c\u9664\u975e\u5b83\u662f\u6839\u7ed3\u70b9\u3002<\/span><\/p>\n<\/li>\n

          4. \n

            \u5bf9\u4e8e\u5728\u975e\u53f6\u5b50\u7ed3\u70b9\u4e0a\u7684\u6bcf\u4e00\u4e2a\u6761\u76ee\uff0ci\u662f\u6700\u5c0f\u7684\u53ef\u4ee5\u5728\u7a7a\u95f4\u4e0a\u5b8c\u5168\u8986\u76d6\u8fd9\u4e9b\u6761\u76ee\u6240\u4ee3\u8868\u7684\u5e97\u7684\u77e9\u5f62\uff08\u540c\u6027\u8d282\uff09\u3002<\/span><\/p>\n<\/li>\n

          5. \n

            \u6240\u6709\u53f6\u5b50\u7ed3\u70b9\u90fd\u4f4d\u4e8e\u540c\u4e00\u5c42\uff0c\u56e0\u6b64R\u6811\u4e3a\u5e73\u8861\u6811\u3002<\/span><\/p>\n<\/li>\n<\/ol>\n

            \u53f6\u5b50\u7ed3\u70b9\u7684\u7ed3\u6784<\/span><\/p>\n

            \u5148\u6765\u63a2\u7a76\u4e00\u4e0b\u53f6\u5b50\u7ed3\u70b9\u7684\u7ed3\u6784\u3002\u53f6\u5b50\u7ed3\u70b9\u6240\u4fdd\u5b58\u7684\u6570\u636e\u5f62\u5f0f\u4e3a\uff1a(I, tuple-identifier)\u3002<\/span><\/p>\n

            \u5176\u4e2d\uff0ctuple-identifier\u8868\u793a\u7684\u662f\u4e00\u4e2a\u5b58\u653e\u4e8e\u6570\u636e\u5e93\u4e2d\u7684tuple\uff0c\u4e5f\u5c31\u662f\u4e00\u6761\u8bb0\u5f55\uff0c\u5b83\u662fn\u7ef4\u7684\u3002I\u662f\u4e00\u4e2an\u7ef4\u7a7a\u95f4\u7684\u77e9\u5f62\uff0c\u5e76\u53ef\u4ee5\u6070\u597d\u6846\u4f4f\u8fd9\u4e2a\u53f6\u5b50\u7ed3\u70b9\u4e2d\u6240\u6709\u8bb0\u5f55\u4ee3\u8868\u7684n\u7ef4\u7a7a\u95f4\u4e2d\u7684\u70b9\u3002I=(I0,I1,\u2026,In-1)\u3002\u5176\u7ed3\u6784\u5982\u4e0b\u56fe\u6240\u793a\uff1a<\/span><\/p>\n

            \n
            \n
            \n<\/blockquote>\n<\/blockquote>\n<\/blockquote>\n

            \u4e0b\u56fe\u63cf\u8ff0\u7684\u5c31\u662f\u5728\u4e8c\u7ef4\u7a7a\u95f4\u4e2d\u7684\u53f6\u5b50\u7ed3\u70b9\u6240\u8981\u5b58\u50a8\u7684\u4fe1\u606f\u3002<\/span><\/p>\n

            \n
            \n
            \n
            \n<\/blockquote>\n<\/blockquote>\n<\/blockquote>\n<\/blockquote>\n

            \u5728\u8fd9\u5f20\u56fe\u4e2d\uff0cI\u6240\u4ee3\u8868\u7684\u5c31\u662f\u56fe\u4e2d\u7684\u77e9\u5f62\uff0c\u5176\u8303\u56f4\u662fa<=I0<=b\uff0cc<=I1<=d\u3002\u6709\u4e24\u4e2atuple-identifier\uff0c\u5728\u56fe\u4e2d\u5373\u8868\u793a\u4e3a\u90a3\u4e24\u4e2a\u70b9\u3002\u8fd9\u79cd\u5f62\u5f0f\u5b8c\u5168\u53ef\u4ee5\u63a8\u5e7f\u5230\u9ad8\u7ef4\u7a7a\u95f4\u3002\u5927\u5bb6\u7b80\u5355\u60f3\u60f3\u4e09\u7ef4\u7a7a\u95f4\u4e2d\u7684\u6837\u5b50\u5c31\u53ef\u4ee5\u4e86\u3002\u8fd9\u6837\uff0c\u53f6\u5b50\u7ed3\u70b9\u7684\u7ed3\u6784\u5c31\u4ecb\u7ecd\u5b8c\u4e86\u3002<\/span><\/p>\n

            \u975e\u53f6\u5b50\u7ed3\u70b9<\/span><\/p>\n

            \u975e\u53f6\u5b50\u7ed3\u70b9\u7684\u7ed3\u6784\u5176\u5b9e\u4e0e\u53f6\u5b50\u7ed3\u70b9\u975e\u5e38\u7c7b\u4f3c\u3002\u60f3\u8c61\u4e00\u4e0bB<\/span>\u6811\u5c31\u77e5\u9053\u4e86\uff0cB\u6811\u7684\u53f6\u5b50\u7ed3\u70b9\u5b58\u653e\u7684\u662f\u771f\u5b9e\u5b58\u5728\u7684\u6570\u636e\uff0c\u800c\u975e\u53f6\u5b50\u7ed3\u70b9\u5b58\u653e\u7684\u662f\u8fd9\u4e9b\u6570\u636e\u7684\u201c\u8fb9\u754c\u201d\uff0c\u6216\u8005\u8bf4\u4e5f\u7b97\u662f\u4e00\u79cd\u7d22\u5f15\uff08\u6709\u7591\u95ee\u7684\u8bfb\u8005\u53ef\u4ee5\u56de\u987e\u4e00\u4e0b\u4e0a\u8ff0\u7b2c\u4e00\u8282\u4e2d\u8bb2\u89e3B\u6811\u7684\u90e8\u5206<\/span>\uff09\u3002<\/span><\/p>\n

            \u540c\u6837\u9053\u7406\uff0cR\u6811\u7684\u975e\u53f6\u5b50\u7ed3\u70b9\u5b58\u653e\u7684\u6570\u636e\u7ed3\u6784\u4e3a\uff1a(I, child-pointer)\u3002<\/span><\/p>\n

            \u5176\u4e2d\uff0cchild-pointer\u662f\u6307\u5411\u5b69\u5b50\u7ed3\u70b9\u7684\u6307\u9488\uff0cI\u662f\u8986\u76d6\u6240\u6709\u5b69\u5b50\u7ed3\u70b9\u5bf9\u5e94\u77e9\u5f62\u7684\u77e9\u5f62\u3002\u8fd9\u8fb9\u6709\u70b9\u62d7\u53e3\uff0c\u4f46\u6211\u60f3\u4e0d\u662f\u5f88\u96be\u61c2\uff1f\u7ed9\u5f20\u56fe\uff1a<\/span><\/p>\n

            \n

            \n
            \n
            \n
            \n
            <\/blockquote>\n<\/blockquote>\n<\/blockquote>\n<\/blockquote>\n<\/blockquote>\n

            D,E,F,G\u4e3a\u5b69\u5b50\u7ed3\u70b9\u6240\u5bf9\u5e94\u7684\u77e9\u5f62\u3002A\u4e3a\u80fd\u591f\u8986\u76d6\u8fd9\u4e9b\u77e9\u5f62\u7684\u66f4\u5927\u7684\u77e9\u5f62\u3002\u8fd9\u4e2aA\u5c31\u662f\u8fd9\u4e2a\u975e\u53f6\u5b50\u7ed3\u70b9\u6240\u5bf9\u5e94\u7684\u77e9\u5f62\u3002\u8fd9\u65f6\u5019\u4f60\u5e94\u8be5\u609f\u5230\u4e86\u5427\uff1f\u65e0\u8bba\u662f\u53f6\u5b50\u7ed3\u70b9\u8fd8\u662f\u975e\u53f6\u5b50\u7ed3\u70b9\uff0c\u5b83\u4eec\u90fd\u5bf9\u5e94\u7740\u4e00\u4e2a\u77e9\u5f62\u3002\u6811\u5f62\u7ed3\u6784\u4e0a\u5c42\u7684\u7ed3\u70b9\u6240\u5bf9\u5e94\u7684\u77e9\u5f62\u80fd\u591f\u5b8c\u5168\u8986\u76d6\u5b83\u7684\u5b69\u5b50\u7ed3\u70b9\u6240\u5bf9\u5e94\u7684\u77e9\u5f62\u3002\u6839\u7ed3\u70b9\u4e5f\u552f\u4e00\u5bf9\u5e94\u4e00\u4e2a\u77e9\u5f62\uff0c\u800c\u8fd9\u4e2a\u77e9\u5f62\u662f\u53ef\u4ee5\u8986\u76d6\u6240\u6709\u6211\u4eec\u62e5\u6709\u7684\u6570\u636e\u4fe1\u606f\u5728\u7a7a\u95f4\u4e2d\u4ee3\u8868\u7684\u70b9\u7684\u3002<\/span><\/p>\n

            \u6211\u4e2a\u4eba\u611f\u89c9\u8fd9\u5f20\u56fe\u753b\u7684\u4e0d\u90a3\u4e48\u7cbe\u786e\uff0c\u5e94\u8be5\u662f\u77e9\u5f62A\u8981\u6070\u597d\u8986\u76d6D,E,F,G\uff0c\u800c\u4e0d\u5e94\u8be5\u518d\u7559\u51fa\u8fd9\u4e48\u591a\u6ca1\u7528\u7684\u7a7a\u95f4\u4e86\u3002\u4f46\u4e3a\u5c0a\u91cd\u539f\u56fe\u7684\u7ed8\u5236\u8005\uff0c\u7279\u4e0d\u4f5c\u4fee\u6539\u3002<\/span>\u201d<\/span><\/strong><\/span><\/strong><\/span><\/strong><\/span><\/p>\n

            \u4f46R\u6811\u6709\u4e9b\u4ec0\u4e48\u95ee\u9898\u5462\uff1f\u5982@\u5b8b\u67ad_CD\u6240\u8bf4\uff1a\u201c\u5355\u7eaf\u7528R\u6811\u6765\u4f5c\u7d22\u5f15\uff0c\u641c\u7d22\u9644\u8fd1\u7684\u5730\u70b9\uff0c\u53ef\u80fd\u4f1a\u904d\u5386\u6811\u7684\u5f88\u591a\u4e2a\u5206\u652f\u3002\u800c\u4e14\u5f53\u5168\u56fd\u7684\u5730\u56fe\u6216\u8005\u5168\u7701\u7684\u5730\u56fe\u65f6\u5019\uff0c\u6811\u7684\u53f6\u8282\u70b9\u6570\u76ee\u5f88\u591a\uff0c\u6811\u7684\u6df1\u5ea6\u4e5f\u4f1a\u662f\u4e00\u4e2a\u95ee\u9898\u3002\u4e00\u822c\u4f1a\u628a\u5730\u7406\u4f4d\u7f6e\u4e0a\u9644\u8fd1\u7684\u8282\u70b9\uff08\u4e8c\u7ef4\u5730\u56fe\u4e2d\u70b9\u7ebf\u9762\uff09\u9884\u5904\u7406\u6210page(\u5927\u5c0f\u4e3a4K\u7684\u500d\u6570)\uff0c\u5728\u8fd9\u4e9bpage\u4e0a\u5efa\u7acbR\u6811\u7684\u7d22\u5f15\u3002\u201d<\/span><\/p>\n

            \u89e3\u6cd5\u4e8c\u3001GeoHash\u7b97\u6cd5\u7d22\u5f15\u5730\u7406\u4f4d\u7f6e\u4fe1\u606f<\/span><\/p>\n

            \u6211\u5728\u5fae\u535a\u4e0a\u8ddf\u4e00\u4e9b\u670b\u53cb\u8ba8\u8bba\u8fd9\u4e2a\u9644\u8fd1\u70b9\u641c\u7d22\u7684\u95ee\u9898\u65f6\uff0c\u9664\u4e86\u8c08\u5230R\u6811\uff0c\u6709\u51e0\u4e2a\u670b\u53cb\u90fd\u6307\u51faGeoHash\u7b97\u6cd5\u53ef\u4ee5\u89e3\u51b3\uff0c\u6545\u624d\u4e86\u89e3\u4e86\u4e0bGeoHash\u7b97\u6cd5\uff0c\u6b64\u65872019\/20190426A\/F0112924.com \u6e05\u6670\u9610\u8ff0\u4e86MongoDB\u501f\u52a9GeoHash\u7b97\u6cd5\u5b9e\u73b0\u5730\u7406\u4f4d\u7f6e\u7d22\u5f15\u7684\u539f\u7406<\/span><\/span>\uff0c\u7279\u5f15\u7528\u5176\u5185\u5bb9\u52a0\u4ee5\u8bf4\u660e\uff0c\u5982\u4e0b\uff1a<\/span><\/p>\n

            \u201c<\/span><\/strong>\u652f\u6301\u5730\u7406\u4f4d\u7f6e\u7d22\u5f15\u662fMongoDB\u7684\u4e00\u5927\u4eae\u70b9\uff0c\u8fd9\u4e5f\u662f\u5168\u7403\u6700\u6d41\u884c\u7684LBS\u670d\u52a1foursquare \u9009\u62e9MongoDB\u7684\u539f\u56e0\u4e4b\u4e00\u3002\u6211\u4eec\u77e5\u9053\uff0c\u901a\u5e38\u7684\u6570\u636e\u5e93\u7d22\u5f15\u7ed3\u6784\u662fB+ Tree\uff0c\u5982\u4f55\u5c06\u5730\u7406\u4f4d\u7f6e\u8f6c\u5316\u4e3a\u53ef\u5efa\u7acbB+Tree\u7684\u5f62\u5f0f\u3002\u9996\u5148\u5047\u8bbe\u6211\u4eec\u5c06\u9700\u8981\u7d22\u5f15\u7684\u6574\u4e2a\u5730\u56fe\u5206\u621016\u00d716\u7684\u65b9\u683c\uff0c\u5982\u4e0b\u56fe\uff08\u5de6\u4e0b\u89d2\u4e3a\u5750\u68070,0 \u53f3\u4e0a\u89d2\u4e3a\u5750\u680716,16\uff09\uff1a<\/span><\/p>\n

            \n

            <\/blockquote>\n

            \u5355\u7eaf\u7684\uff3bx\uff0cy\uff3d\u7684\u6570\u636e\u662f\u65e0\u6cd5\u5efa\u7acb\u7d22\u5f15\u7684\uff0c\u6240\u4ee5MongoDB\u5728\u5efa\u7acb\u7d22\u5f15\u7684\u65f6\u5019\uff0c\u4f1a\u6839\u636e\u76f8\u5e94\u5b57\u6bb5\u7684\u5750\u6807\u8ba1\u7b97\u4e00\u4e2a\u53ef\u4ee5\u7528\u6765\u505a\u7d22\u5f15\u7684hash\u503c\uff0c\u8fd9\u4e2a\u503c\u53eb\u505ageohash\uff0c\u4e0b\u9762\u6211\u4eec\u4ee5\u5730\u56fe\u4e0a\u5750\u6807\u4e3a\uff3b4\uff0c6\uff3d\u7684\u70b9\uff08\u56fe\u4e2d\u7ea2\u53c9\u4f4d\u7f6e\uff09\u4e3a\u4f8b\u3002\u6211\u4eec\u7b2c\u4e00\u6b65\u5c06\u6574\u4e2a\u5730\u56fe\u5206\u6210\u7b49\u5927\u5c0f\u7684\u56db\u5757\uff0c\u5982\u4e0b\u56fe\uff1a<\/span><\/p>\n

            \n

            <\/blockquote>\n

            \u5212\u5206\u6210\u56db\u5757\u540e\u6211\u4eec\u53ef\u4ee5\u5b9a\u4e49\u8fd9\u56db\u5757\u7684\u503c\uff0c\u5982\u4e0b\uff08\u5de6\u4e0b\u4e3a00\uff0c\u5de6\u4e0a\u4e3a01\uff0c\u53f3\u4e0b\u4e3a10\uff0c\u53f3\u4e0a\u4e3a11\uff09<\/span>\uff1a<\/span><\/p>\n

            \n

            \u8fd9\u6837\uff3b4\uff0c6\uff3d\u70b9\u7684geohash\u503c\u76ee\u524d\u4e3a 00\u7136\u540e\u518d\u5c06\u56db\u4e2a\u5c0f\u5757\u6bcf\u4e00\u5757\u8fdb\u884c\u5207\u5272\uff0c\u5982\u4e0b\uff1a<\/span><\/p>\n

            \n

            \u8fd9\u65f6\uff3b4\uff0c6\uff3d\u70b9\u4f4d\u4e8e\u53f3\u4e0a\u533a\u57df\uff0c\u53f3\u4e0a\u7684\u503c\u4e3a11\uff0c\u8fd9\u6837\uff3b4\uff0c6\uff3d\u70b9\u7684geohash\u503c\u53d8\u4e3a\uff1a0011\u7ee7\u7eed\u5f80\u4e0b\u505a\u4e24\u6b21\u5207\u5206\uff1a<\/span><\/p>\n

            \n

            \n

            \u6700\u7ec8\u5f97\u5230\uff3b4\uff0c6\uff3d\u70b9\u7684geohash\u503c\u4e3a\uff1a00110100<\/span><\/p>\n

            \u8fd9\u6837\u6211\u4eec\u7528\u8fd9\u4e2a\u503c\u6765\u505a\u7d22\u5f15\uff0c\u5219\u5730\u56fe\u4e0a\u70b9\u76f8\u8fd1\u7684\u70b9\u5c31\u53ef\u4ee5\u8f6c\u5316\u6210\u6709\u76f8\u540c\u524d\u7f00\u7684geohash\u503c\u4e86\u3002<\/span><\/p>\n

            \u6211\u4eec\u53ef\u4ee5\u770b\u5230\uff0c\u8fd9\u4e2ageohash\u503c\u7684\u7cbe\u786e\u5ea6\u662f\u4e0e\u5212\u5206\u5730\u56fe\u7684\u6b21\u6570\u6210\u6b63\u6bd4\u7684\uff0c\u4e0a\u4f8b\u5bf9\u5730\u56fe\u5212\u5206\u4e86\u56db\u6b21\u3002\u800cMongoDB\u9ed8\u8ba4\u662f\u8fdb\u884c26\u6b21\u5212\u5206\uff0c\u8fd9\u4e2a\u503c\u5728\u5efa\u7acb\u7d22\u5f15\u65f6\u662f\u53ef\u63a7\u7684\u3002\u5177\u4f53\u5efa\u7acb\u4e8c\u7ef4\u5730\u7406\u4f4d\u7f6e\u7d22\u5f15\u7684\u547d\u4ee4\u5982\u4e0b\uff1a<\/span><\/p>\n<\/p>\n

            \u5176\u4e2d\u7684bits\u53c2\u6570\u5c31\u662f\u5212\u5206\u51e0\u6b21\uff0c\u9ed8\u8ba4\u4e3a26\u6b21\u3002 \u201d<\/strong><\/span><\/span><\/p>\n

            \u672c\u7ae0\u5b8c\u3002<\/span><\/p>\n

            \u4f5c\u8005\uff1aJuly<\/span><\/p>\n

            \u6765\u6e90\uff1ahttp:\/\/www.cnblogs.com\/v-July-v\/p\/3320869.html<\/span><\/p>\n

            ————-<\/span><\/strong>—-<\/span><\/strong><\/span><\/p>\n

            \u660e\u660e\u5171\u540c\u5173\u6ce8\u516c\u4f17\u53f7\uff0c\u5f7c\u6b64\u5374\u4e92\u4e0d\u8ba4\u8bc6\uff1b<\/span><\/strong><\/span><\/p>\n

            \u660e\u660e\u5177\u6709\u76f8\u540c\u7684\u7231\u597d\uff0c\u5374\u65e0\u7f18\u76f8\u8bc6\uff1b<\/span><\/strong><\/span><\/p>\n

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            C++\uff0cJava\uff0cVB\u2026\u2026\u5e94\u6709\u5c3d\u6709\u3002<\/span><\/strong><\/span><\/p>\n

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            (\uff65\u0e34\u03d6\uff65\u0e34)\u3063\u7b97\u6cd5\u4e0e\u6570\u5b66\u4e4b\u7f8e-\u8ba1\u7b97\u673a\u7c89\u4e1d\u7fa4<\/span><\/strong><\/span><\/p>\n

            \u6211\u4eec\u5728\u8fd9\u91cc\u7b49\u4f60\u54df<\/span><\/strong><\/span><\/p>\n

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            <\/span> <\/p>\n

            <\/div>\n","protected":false},"excerpt":{"rendered":"

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