{"id":1430,"date":"2017-11-20T16:44:25","date_gmt":"2017-11-20T08:44:25","guid":{"rendered":"http:\/\/ykyi.net\/?p=1430"},"modified":"2017-11-20T16:44:25","modified_gmt":"2017-11-20T08:44:25","slug":"utf8%e4%b8%ad%e6%96%87%e5%ad%97%e7%ac%a6%e4%b8%b2%e7%9a%84%e5%a4%9a%e6%a8%a1%e5%bc%8f%e5%8c%b9%e9%85%8d%e7%ae%97%e6%b3%95%e7%9a%84%e4%bc%98%e5%8c%96","status":"publish","type":"post","link":"https:\/\/ykyi.net\/?p=1430","title":{"rendered":"utf8\u4e2d\u6587\u5b57\u7b26\u4e32\u7684\u591a\u6a21\u5f0f\u5339\u914d\u7b97\u6cd5\u7684\u4f18\u5316"},"content":{"rendered":"<h1>utf8\u4e2d\u6587\u5b57\u7b26\u4e32\u7684\u591a\u6a21\u5f0f\u5339\u914d\u7b97\u6cd5\u7684\u4f18\u5316<\/h1>\n<p><em>\u4fe1\u606f\u5b89\u5168\u90e8\u63a5\u53e3\u7ec4  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\/>\n|\u6587\u5b57\u9009\u81ea\u56db\u5927\u540d\u8457\u517187M,\u5e73\u5747\u6bcf\u884c10\u4e2a\u6c49\u5b57|161\u79d2|5\u79d2|32\u500d|<br \/>\n* <em>\u752811\u4e073\u5343\u6761\u89c4\u5219\u4f5c\u4e3a\u5f85\u68c0\u6d4b\u6587\u672c\u4f7f\u5f97\u65b0\u65e7\u7b97\u6cd5\u90fd\u4f1a\u5bc6\u96c6\u5730\u8d70\u5230\u201c\u547d\u4e2d\u903b\u8f91\u201d\uff0c\u65e8\u5728\u6bd4\u8f83\u201c\u547d\u4e2d\u903b\u8f91\u201d\u7684\u6027\u80fd\u3002<\/em><br \/>\n* <em>\u7528\u56db\u5927\u540d\u8457\u4f5c\u4e3a\u5f85\u68c0\u6d4b\u6587\u672c\uff0c\u4f7f\u5f97\u65b0\u65e7\u7b97\u6cd5\u51e0\u4e4e\u4e0d\u4f1a\u8d70\u5230\u201c\u547d\u4e2d\u903b\u8f91\u201d\uff0c\u65e8\u5728\u6bd4\u8f83\u7b97\u6cd5\u5904\u7406\u6b63\u5e38\u6587\u672c\u65f6\u7684\u6027\u80fd\u3002\u800c\u6bcf\u6b21\u5904\u7406\u6587\u672c\u7684\u957f\u5ea6\u4ea6\u53ef\u80fd\u5f71\u54cd\u5230\u6027\u80fd\u8868\u73b0\u3002\u5982\u8868\u6240\u793a\uff0c\u5904\u7406\u77ed\u6587\u672c\uff0810\u4e2a\u6c49\u5b57\uff09\u65f6\uff0c\u65b0\u7b97\u6cd5\u7684\u4f18\u52bf\u6709\u6240\u964d\u4f4e\uff0c\u53ef\u89e3\u91ca\u4e3a\u65e7\u7b97\u6cd5\u4e3a\u542f\u52a8\u6bcf\u4e00\u6b21\u5904\u7406\u6d88\u8017\u8f83\u5927\u7684\u8d44\u6e90\uff0c\u800c\u5982\u679c\u5904\u7406\u7684\u6587\u672c\u8f83\u957f\u65f6\uff0c\u8fd9\u4e2a\u8d44\u6e90\u6d88\u8017\u5206\u644a\u5230\u6bcf\u4e2a\u5f85\u5904\u7406\u5b57\u7b26\u5c31\u76f8\u5bf9\u4e0d\u90a3\u4e48\u660e\u663e\u4e86\u3002<\/em><\/p>\n<p>\u5728\u4e00\u53f024\u6838\u7684M2\u673a\u5668\u4e0a\uff0c\u7406\u8bba\u4f30\u8ba1\u65b0\u7b97\u6cd5\u4e00\u5929\u53ef\u4ee5\u5904\u740636,495,360M\u6587\u672c\uff0c36\u4e2aT~<\/p>\n<h2>\u4e1a\u52a1\u7b80\u8ff0<\/h2>\n<p>\u8be5\u4e1a\u52a1\u7684\u6838\u5fc3\u95ee\u9898\u7b80\u5355\u5730\u8fd1\u4f3c\u6982\u62ec\u4e3a\uff1a<\/p>\n<blockquote><p>\n 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\u5b88\u591c\u4eba<\/p>\n<p><strong><em>\u4e0b\u6587\u7684\u8ba8\u8bba\u5c06\u7ee7\u7eed\u5f15\u7528\u8fd9\u4e2a\u89c4\u5219\u5217\u8868\u3002<\/em><\/strong><\/p>\n<p>\u5f53\u8f93\u5165\u7684string\u4e2d\u5305\u62ec\u201c\u94c1\u738b\u5ea7\u201d\u65f6\uff0c\u5219\u547d\u4e2d\u89c4\u52191\uff1b\u5f53\u5305\u62ec\u201c\u96ea\u8bfa\u201d\u540c\u65f6\u4e5f\u6709\u201c\u63d0\u5229\u6602\u201d\u65f6\uff0c\u5219\u547d\u4e2d\u89c4\u52192\uff1b\u5982\u679c\u9700\u8981\u547d\u4e2d\u89c4\u52193\uff0cstring\u5219\u5fc5\u987b\u540c\u65f6\u5305\u62ec\u4e09\u4e2a\u77ed\u5b57\u7b26\u4e32\u201c\u96ea\u8bfa\u201d\uff0c\u201c\u827e\u8389\u4e9a\u201d\u548c\u4e00\u4e2a\u5355ascii\u5b57\u7b26\u201c2&#8243;\u3002<\/p>\n<h2>\u539f\u7b97\u6cd5\u7684\u4e3b\u8981\u4e0d\u8db3<\/h2>\n<p>\u539f\u7b97\u6cd5\u5927\u81f4\u6709\u4ee5\u4e0b\u51e0\u4e2a\u95ee\u9898\u3002<\/p>\n<ol>\n<li>\u7b2c\u4e00\u95ee\u9898\u5f88\u5bb9\u6613\u6ce8\u610f\u5230\u3002\u539f\u7b97\u6cd5\u7528\u5171\u4eab\u5185\u5b58\u5b58\u50a8\u5b57\u7b26\u4e32\u65f6\u76f8\u5f53\u201c\u9614\u7ef0\u201d\u3002\u6bd4\u5982\uff0c\u5b58\u50a8\u201c\u94c1\u738b\u5ea7\u201d\uff0c\u201c\u96ea\u8bfa\u201d\uff0c\u201c2\u201d\uff0c\u7edf\u7edf\u9700\u8981256\u5b57\u8282\uff0c\u800c\u5b9e\u9645\u4e0a\u5b83\u4eec\u7684\u957f\u5ea6\u5206\u522b\u662f9\u5b57\u8282\uff0c6\u8282\u5b57\uff0c1\u5b57\u8282\u3002<\/p>\n<\/li>\n<li>\n<p>\u539f\u7b97\u6cd5\u626b\u63cf\u4e00\u904d\u8f93\u5165\u5b57\u7b26\u4e32string\u540e\uff0c\u5982\u679c\u547d\u4e2d\u4e86\u81f3\u5c11\u4e00\u4e2a\u6a21\u5f0f\uff0c\u5c06\u8fdb\u5165\u4e00\u4e2a\u975e\u5e38\u201c\u6734\u7d20\u201d\u7684\u7a77\u4e3e\u9636\u6bb5\uff1a\u628a\u6240\u6709\u7684\u89c4\u5219\u904d\u5386\u4e00\u904d\uff0c\u5bf9\u4e8e\u6bcf\u6761\u89c4\u5219\u4e2d\u7684\u6bcf\u4e2a\u6a21\u5f0f\uff0c\u68c0\u67e5\u662f\u5426\u547d\u4e2d\u3002\u8bbe\u89c4\u5219\u6761\u6570\u4e3an\uff0c\u89c4\u5219\u7684\u5e73\u5747\u957f\u5ea6\u662fm\uff0c\u8fd9\u662f\u4e00\u4e2aO(n*m)\u7684\u65f6\u95f4\u590d\u6742\u5ea6\u3002\u5f53\u89c4\u5219\u6570\u6709\u51e0\u5341\u4e07\u4e4b\u591a\u662f\uff0c\u8fd9\u4e2a\u9636\u6bb5\u975e\u5e38\u8017\u65f6\u3002<\/p>\n<\/li>\n<li>\n<p>\u518d\u8bf4\u5339\u914d\u591a\u6a21\u5f0f\u9636\u6bb5\u7684\u7b97\u6cd5\u3002\u539f\u7b97\u6cd5\u53ef\u4ee5\u6982\u62ec\u4e3a\u201cTrie Tree\u201d\u548c\u201cBoyer-Moore \u6a21\u5f0f\u5339\u914d\u7b97\u6cd5\u201d\u3002Trie Tree\u662f\u975e\u5e38\u5e38\u89c1\u7684\u7ec4\u7ec7\u5b57\u7b26\u4e32\u7684\u6570\u636e\u7ed3\u6784\u3002\u800c<a href=\"http:\/\/www.cs.utexas.edu\/users\/moore\/publications\/fstrpos.pdf\">Boyer-Moore\u7b97\u6cd5<\/a>\u57281977\u5e74\u7531Robert S Boyer\u548cStrother Moore\u53d1\u8868[1]\u3002\u7b80\u5355\u5730\u8bb2\uff0cBoyer-Moore\u7b97\u6cd5\u9884\u5148\u8ba1\u7b97\u4e24\u5f20\u201c\u8df3\u5b57\u7b26\u201d\u7684\u8868\uff0c\u7c4d\u6b64\u63d0\u9ad8\u5339\u914d\u901f\u5ea6\uff0c\u5b83\u672c\u8eab\u89e3\u51b3\u7684\u95ee\u9898\u662f\u5355\u6a21\u5f0f\u7684\u5339\u914d\uff0c\u4f46\u9762\u5bf9\u591a\u6a21\u5f0f\u7684\u95ee\u9898\u65f6\u9700\u8981\u505a\u4e00\u4e9b\u7b80\u5355\u7684\u8c03\u6574\uff0c\u800c\u4e14\uff0c\u968f\u7740\u6a21\u5f0f\u6570\u7684\u589e\u957f\uff0c\u5f53\u6a21\u5f0f\u6570\u76ee\u5927\u5927\u8d85\u8fc7\u5f85\u68c0\u67e5\u5b57\u7b26\u4e32\u7684\u957f\u5ea6\u65f6\uff0c\u6240\u6709\u7684\u201c\u8df3\u5b57\u7b26\u201d\u7b97\u6cd5\uff0c\u5305\u62ecBoyer-Moore\u7b97\u6cd5\u5c06\u8868\u73b0\u4e0d\u4f73[2]\u3002\u4e8b\u5b9e\u4e0a\uff0c\u539f\u7b97\u6cd5\u8d39\u5c3d\u5fc3\u529b\uff08\u5341\u5206\u949f\u91cf\u7ea7\uff09\u9884\u8ba1\u7b97\u7684\u8df3\u5b57\u7b26\u8868\u4e2d\u7684\u8df3\u5b57\u7b26\u6b65\u957f\u662f1\u4e2abyte\u30021\u4e2abyte\u7684\u6b65\u957f\u8ba9\u8df3\u5b57\u7b26\u8868\uff0c\u9664\u4e86\u6545\u5f04\u7384\u865a\u7684\u4f5c\u7528\u5916\uff0c\u5df2\u53d8\u5f97\u6beb\u65e0\u610f\u4e49\u3002\u4e3a\u4f55\u8ba1\u7b97\u5f97\u52301\u4e2abyte\u7684\u6b65\u957f\uff1f\u56e0\u4e3a\u8fd9\u8fd120\u4e07\u4e2a\u6a21\u5f0f\u4e2d\u6709\u5355\u4e2a\u7684ascii\u5b57\u7b26\uff0c\u5355\u4e2aascii\u5b57\u7b26\u7684\u957f\u5ea6\u53ea\u6709\u4e00\u4e2abyte\u3002\u5982\u679c\u8df3\u5b57\u7b26\u6b65\u957f\u8d85\u8fc71byte\uff0c\u5c31\u6709\u53ef\u80fd\u9519\u8fc7\u5355\u4e2aascii\u5b57\u7b26\u6a21\u5f0f\u3002<\/p>\n<\/li>\n<\/ol>\n<h2>\u65b0\u7b97\u6cd5\u7684\u6539\u8fdb<\/h2>\n<h4>\u89e3\u51b3\u95ee\u98981<\/h4>\n<p>\u95ee\u98981\u662f\u8017\u5185\u5b58\u592a\u591a\u3002\u8fd9\u4e2a\u5f88\u5bb9\u6613\u89e3\u51b3\uff0c\u4e0d\u4f5c\u91cd\u70b9\u9610\u8ff0\u3002\u65b0\u7b97\u6cd5\u5e7f\u6cdb\u4f7f\u7528C++\u7684\u6807\u51c6\u6570\u636e\u7ed3\u6784\uff0c\u800c\u4e0d\u662f\u624b\u5de5\u5728\u5171\u4eab\u5185\u5b58\u4e0a\u5b9e\u73b0\u6734\u7d20\uff0c\u7b28\u62d9\uff0c\u6613\u8d8a\u754c\u7684\u6570\u636e\u7ed3\u6784\u3002\u65e7\u65b9\u5f0f\u5bb9\u6613\u4ea7\u751f\u7684\u5fae\u5999bug\uff0c\u7528\u65b0\u7684\u5f00\u53d1\u601d\u8def\uff0c\u5f88\u591abug\u5728\u7f16\u8bd1\u671f\u5c31\u80fd\u88ab\u68c0\u67e5\u5230\u3002\u6548\u679c\u5219\u662f\u4e0d\u4ec5\u4ece\u6d88\u80174G\u5185\u5b58\u964d\u5230200M\uff0c\u800c\u4e14\u5728\u5b9e\u73b0\u5404\u5c0f\u9700\u6c42\u65f6\u83b7\u5f97\u660e\u663e\u7684\u5f00\u53d1\u6548\u7387\u548c\u4ee3\u7801\u8d28\u91cf\u7684\u63d0\u5347\u3002<\/p>\n<h4>\u89e3\u51b3\u95ee\u98982<\/h4>\n<p>\u95ee\u98982\u662f\u5728\u547d\u4e2d\u6a21\u5f0f\u540e\u786e\u5b9a\u547d\u4e2d\u54ea\u4e9b\u89c4\u5219\u7684\u6548\u7387\u95ee\u9898\u3002\u65e7\u7b97\u6cd5\u4e0d\u7ba1\u4e09\u4e03\u4e8c\u5341\u4e00\u628a\u6240\u6709\u89c4\u5219\u5168\u904d\u5386\u4e00\u904d\u3002\u65b0\u7b97\u6cd5\u5927\u7684\u601d\u8def\u662f\u4f7f\u7528\u4fe1\u606f\u68c0\u7d22\u5e7f\u6cdb\u4f7f\u7528\u7684\u201c\u5012\u6392\u7d22\u5f15\u201d\u3002\u5e76\u8f85\u4ee5\u66f4\u591a\u7684\u4f18\u5316\u3002\u65b0\u7b97\u6cd5\u5c06\u5efa\u7acb\u7684\u6570\u636e\u7ed3\u6784\u7b80\u8ff0\u5982\u4e0b\uff1a<\/p>\n<ul>\n<li>\u5efa\u7acb\u201c\u6a21\u5f0f&#8211;>\u89c4\u5219\u201d\u7684\u5012\u6392\u7d22\u5f15\u3002\u5e76\u9884\u5148\u8ba1\u7b97\u4e00\u4e2a\u8868\u5f81\u201c\u5f53\u524d\u6a21\u5f0f\u547d\u4e2d\u540e\uff0c\u5b83\u5bf9\u5e94\u7684\u89c4\u5219\u6709\u591a\u5927\u53ef\u80fd\u6027\u88ab\u547d\u4e2d\u201d\u7684\u503c\uff0c\u66f4\u4e13\u4e1a\u5730\u8bb2\uff0c\u5f15\u5165\u4e86\u4fe1\u606f\u8bba\u4e2d\u7684\u201c\u71b5\u201d\u3002\u201c\u71b5\u201d\u5c06\u51b3\u5b9a\u5f53\u547d\u4e2d\u5f88\u591a\u4e2a\u6a21\u5f0f\u65f6\uff0c\u5148\u67e5\u627e\u54ea\u4e2a\u6a21\u5f0f\u5bf9\u5e94\u7684\u89c4\u5219\u6709\u66f4\u9ad8\u7684\u6548\u7387\u3002\u4e0b\u6587\u4f1a\u7ee7\u7eed\u8ba8\u8bba\u201c\u71b5\u201d\u7684\u4f5c\u7528\u3002<\/p>\n<\/li>\n<li>\n<p>\u5bf9\u6bcf\u4e2a\u6a21\u5f0f\u5bf9\u5e94\u7684\u89c4\u5219\u8fdb\u884c\u5206\u7ea7\uff0c\u53ea\u6709\u4e00\u4e2a\u6a21\u5f0f\u7684\u89c4\u5219\u5165\u5168\u5c40\u54c8\u5e0c\u8868\uff0c\u53ea\u6709\u4e24\u4e2a\u6a21\u5f0f\u7684\u89c4\u5219\u4e5f\u5165\u5168\u5c40\u54c8\u5e0c\u8868\uff0c\u6709\u4e09\u4e2a\u548c\u4e09\u4e2a\u4ee5\u4e0a\u6a21\u5f0f\u7684\u89c4\u5219\u653e\u5728\u4e00\u8d77\u4f5c\u4e3a\u5bf9\u5e94\u8be5\u6a21\u5f0f\u7684\u591a\u6a21\u5f0f\u89c4\u5219\u96c6\u5408\u3002\u8fd9\u4e48\u505a\u7684\u7406\u7531\u662f\uff0c\u53ea\u6709\u4e00\u4e2a\u6a21\u5f0f\u548c\u53ea\u6709\u4e24\u4e2a\u6a21\u5f0f\u7684\u89c4\u5219\u6700\u5bb9\u6613\u7528\u54c8\u5e0c\u8868\u5feb\u901f\u5904\u7406\uff0c\u800c\u786e\u5b9a\u662f\u5426\u547d\u4e2d\u591a\u6a21\u5f0f\u89c4\u5219\u9700\u8981\u5927\u5f97\u591a\u7684\u5f00\u9500\u3002<\/p>\n<\/li>\n<\/ul>\n<p>\u4ee5\u4e0a\u6587\u7684\u4e94\u6761\u89c4\u5219\u4e3a\u4f8b\u8be6\u7ec6\u9610\u8ff0\u65b0\u7b97\u6cd5\u7684\u601d\u8def\uff1a<\/p>\n<ol>\n<li>\u4e3a\u6bcf\u4e2a\u6a21\u5f0f\u7f16\u53f7\uff1a 1:\u94c1\u738b\u5ea7 2:\u96ea\u8bfa 3:\u63d0\u5229\u6602 4:\u827e\u8389\u4e9a 5:2 6:\u9f99\u6bcd 7:\u5e8a 8:\u591c\u738b 9:\u5f02\u9b3c\u519b\u56e2 10:\u5b88\u591c\u4eba<\/p>\n<\/li>\n<li>\n<p>\u5efa\u7acb\u7d22\u5f15(\u4ece\u89c4\u5219\u6620\u5c04\u5230\u6a21\u5f0f)\uff1a<\/p>\n<ul>\n<li>Rule1 -> set(Pattern1)<\/li>\n<li>Rule2 -> set(Pattern2, Pattern3)<\/li>\n<li>Rule3 -> set(Pattern2, Pattern4, Pattern5)<\/li>\n<li>Rule4 -> set(Pattern2, Pattern6, Pattern7)<\/li>\n<li>Rule5 -> set(Pattern2, Pattern8, Pattern9, Pattern10)<\/li>\n<\/ul>\n<\/li>\n<li>\u5efa\u5012\u6392\u7d22\u5f15(\u4ece\u6a21\u5f0f\u6620\u5c04\u5230\u89c4\u5219)\n<ul>\n<li>Pattern1 -> \u53ea\u6709\u5355\u6a21\u5f0f\uff0c\u5165\u5355\u6a21\u5f0f\u5168\u5c40\u54c8\u5e0c\u8868 Pattern1 -> Rule1<\/li>\n<li>Pattern2 -> \u5165\u53cc\u6a21\u5f0f\u5168\u5c40\u54c8\u5e0c\u8868 (Pattern2, Pattern3) -> Rule2; \u81ea\u6709\u591a\u6a21\u5f0f\u96c6\u5408set(Rule3, Rule4, Rule5; \u71b5 := 3)\u4e0b\u6587\u8ba8\u8bba\u5982\u4f55\u8ba1\u7b97\u71b5<\/li>\n<li>Pattern3 -> \u5165\u53cc\u6a21\u5f0f\u5168\u5c40\u54c8\u5e0c\u8868 (Pattern2, Pattern3) -> Rule2; \u6ca1\u6709\u81ea\u6709\u591a\u6a21\u5f0f\u96c6\u5408\u3002<\/li>\n<li>&#8230;\u7565&#8230;<\/li>\n<li>Pattern6 -> \u81ea\u6709\u591a\u6a21\u5f0f\u96c6\u5408set(Rule4; \u71b5Entropy := 1\u4e0b\u6587\u89e3\u91ca )<\/li>\n<li>Pattern10 -> \u81ea\u6709\u591a\u6a21\u5f0f\u96c6\u5408set(Rule5; Entropy := 1 )<\/li>\n<\/ul>\n<p>\u4e0b\u9762\u518d\u8be6\u7ec6\u5730\u8ba8\u8bba\u4e3a\u4ec0\u4e48\u5f15\u5165\u71b5\uff0c\u53ca\u5982\u4f55\u8ba1\u7b97\u71b5\uff1a<\/p>\n<blockquote><p>\n  \u5047\u5982\u5df2\u77e5\u547d\u4e2d\u4e86\u6a21\u5f0f\u201c\u9f99\u6bcd\u201d\uff0c\u90a3\u4e48\u5c06\u67092\u79cd\u53ef\u80fd\u3002\u8981\u4e48\u547d\u4e2dRule3\uff0c\u8981\u4e48\u4e0d\u547d\u4e2d\u4efb\u4f55\u89c4\u5219\u3002\u5982\u679c\u5df2\u77e5\u547d\u4e2d\u4e86\u6a21\u5f0f\u201c\u96ea\u8bfa\u201d\uff0c\u90a3\u4e48\u5c06\u67095\u79cd\u53ef\u80fd\u3002\u547d\u4e2dRule2\uff0c\u547d\u4e2dRule3\uff0c\u547d\u4e2dRule4, \u547d\u4e2dRule5\uff0c\u548c\u4e0d\u547d\u4e2d\u4efb\u4f55\u89c4\u5219\u3002\u90a3\u4e48\uff0c\u5982\u679c\u5df2\u7ecf\u53d1\u73b0\u540c\u65f6\u6709\u547d\u4e2d\u591a\u4e2a\u6a21\u5f0f\uff0c\u5176\u4e2d\u5305\u62ec\u201c\u9f99\u6bcd\u201d\uff0c\u548c\u201c\u96ea\u8bfa\u201d\u3002\u901a\u8fc7\u67e5\u627e\u5012\u6392\u7d22\u5f15\uff0c\u80fd\u62ff\u5230\u6f5c\u5728\u53ef\u80fd\u547d\u4e2d\u7684\u6240\u6709\u89c4\u5219\u3002\u4f46\u95ee\u9898\u662f\uff0c\u7a76\u7adf\u5148\u627e\u201c\u9f99\u6bcd\u201d\u7684\u5012\u6392\uff0c\u8fd8\u662f\u5148\u627e\u201c\u96ea\u8bfa\u201d\u7684\u5012\u6392\u5462\uff1f\u5728\u8fd9\u4e2a\u7b80\u5355\u7684\u4f8b\u5b50\u4e2d\uff0c\u6211\u4eec\u5bb9\u6613\u51ed\u81ea\u89c9\u77e5\u9053\uff0c\u5f97\u5148\u67e5\u201c\u9f99\u6bcd\u201d\u7684\u5012\u6392\u6548\u7387\u66f4\u9ad8\uff0c\u800c\u67e5\u201c\u96ea\u8bfa\u201d\u7684\u5012\u6392\u53ef\u80fd\u4f1a\u5c1d\u8bd5\u4e0d\u53ef\u80fd\u547d\u4e2d\u7684\u89c4\u5219\u3002\u5728\u5b9e\u9645\u4e1a\u52a1\u4e2d\uff0c\u6709\u90e8\u5206\u6a21\u5f0f\u5bf9\u5e94\u7684\u89c4\u5219\u6709\u51e0\u5343\u4e2a\u4e4b\u591a\uff0c\u4f46\u53ea\u53ef\u80fd\u547d\u4e2d\u5176\u4e2d\u4e00\u4e24\u4e2a\uff0c\u8fd9\u4e2a\u6548\u7387\u662f\u4e0d\u9ad8\u7684\u3002\u4f46\u8fd9\u4e2a\u95ee\u9898\u53ef\u4ee5\u7528\u4fe1\u606f\u8bba\u89e3\u51b3\uff1a\u53d1\u751f\u4e8b\u4ef6\u201c\u5df2\u627e\u5230\u6a21\u5f0f\u9f99\u6bcd\u201d\u8f83\u4e4b\u53d1\u751f\u4e8b\u4ef6\u201c\u5df2\u627e\u5230\u6a21\u5f0f\u96ea\u8bfa\u201d\uff0c\u4e8b\u4ef6\u201c\u547d\u4e2d\u89c4\u5219\u201d\u5728\u524d\u8005\u7684\u6761\u4ef6\u4e0b\u7684\u786e\u5b9a\u6027\u66f4\u9ad8\uff0c\u5373\u201c\u71b5\u201d\u66f4\u5c0f\u3002\u4ece\u201c\u71b5\u201d\u5c0f\u7684\u5f00\u59cb\u5904\u7406\u3002\u4f46\u5982\u4f55\u8ba1\u7b97\u201c\u71b5\u201d\u5462\uff1f\u66f4\u4e00\u822c\u5730\uff0c\u8bb0\u627e\u5230\u6a21\u5f0fPx\u8fd9\u4e2a\u4e8b\u4ef6\u4e3ay\uff0c\u8bb0\u8f93\u5165string\u547d\u4e2d\u89c4\u5219\u8fd9\u4e2a\u4e8b\u4ef6\u4e3az\uff0c\u8bb0\u547d\u4e2d\u6a21\u5f0fPx\u5bf9\u5e94\u7684\u89c4\u5219\u8fd9\u4e2a\u4e8b\u4ef6\u4e3ax\u3002\u5219\u8ba1\u7b97\u53d1\u751f\u547d\u4e2d\u6a21\u5f0fPx\u7684\u60c5\u51b5\u4e0b\u5c06\u547d\u4e2d\u89c4\u5219\u7684\u6761\u4ef6\u71b5\u7684\u516c\u5f0f\u4e3a\uff1a<br \/>\n  _** H(X|Y,Z) = -\u2211P(x,y,z)|logP(x|y,z) x\u2208{y\u5bf9\u5e94\u7684\u6a21\u5f0f\u96c6\u5408\uff5d**_<br \/>\n  \u4e8b\u5b9e\u4e0a\uff0c\u8fd9\u662f\u4e2a\u7b80\u5316\u7684\u6a21\u578b\u3002\u66f4\u4e25\u8c28\u5730\uff0c\u5982\u679c\u5df2\u77e5\u547d\u4e2d\u591a\u4e2a\u6a21\u5f0fy1,y2,y3&#8230;yn\u65f6\uff0c\u5219\u6761\u4ef6\u6982\u7387\u5e94\u8be5\u662fP(x|y1,y2,&#8230;yn,z)\u3002\u4e0d\u7ee7\u7eed\u5c55\u5f00\uff0c\u56de\u5230\u4e0a\u9762\u7684\u516c\u5f0f\u3002\u5982\u679c\u6709\u8db3\u591f\u591a\u7684\u8f93\u5165\u6587\u672c\u5c31\u53ef\u4ee5\u6c42\u51faH(X|Y)\uff0c\u6216\u8005\u5728\u8fd0\u884c\u65f6\u79ef\u7d2f\u6570\u636e\uff0c\u6162\u6162\u8fed\u4ee3\u4e5f\u53ef\u903c\u8fd1\u51c6\u786e\u7684\u71b5\u503c\u3002\u4f46\u5982\u679c\u4e0d\u5728\u4e4e\u635f\u5931\u6548\u7387\uff0c\u8fd8\u80fd\u518d\u7ee7\u7eed\u7b80\u5316\u3002\u7528\u6a21\u5f0fPx\u5bf9\u5e94\u7684\u591a\u6a21\u5f0f\u89c4\u5219\u96c6\u5408\u7684\u5927\u5c0f\u6765\u66ff\u4ee3H(X|Y)\uff0c\u7528\u5b83\u4f5c\u4e3a\u975e\u5e38\u4e0d\u4e25\u8c28\u7684\u201c\u71b5\u201d\u503c\u3002\u96c6\u5408\u4e2d\u7684\u89c4\u5219\u4e2a\u6570\u8d8a\u5c11\uff0c\u5219\u4f18\u5148\u9009\u7528\u8fd9\u4e2a\u96c6\u5408\u4e2d\u7684\u89c4\u5219\u4f5c\u68c0\u67e5\u3002\u4ec5\u7ba1\u6c42\u5f97\u4e25\u8c28\u5730\u71b5\u5c06\u83b7\u5f97\u66f4\u9ad8\u7684\u6548\u7387\uff0c\u4f46\u7528\u8fd9\u4e2a\u6781\u7b80\u5316\u7684\u7248\u672c\u4e5f\u80fd\u53d6\u5f97\u4e0d\u9519\u7684\u6548\u679c\u3002\u4e0d\u8fc7\uff0c\u4e0a\u8ff0\u7b97\u6cd5\u53ea\u9002\u7528\u4e8e\u201c\u4e00\u4f46\u5339\u914d\u5230\u4e00\u4e2a\u89c4\u5219\u5c31\u8fc5\u901f\u8df3\u51fa\u201d\u7684\u60c5\u51b5\uff0c\u5982\u679c\u8981\u627e\u51fa\u6240\u6709\u5339\u914d\u89c4\u5219\u5c31\u6ca1\u5fc5\u8981\u8fd9\u4e48\u505a\u4e86\u3002\u4f46\u4e0b\u6587\u7684\u5b9e\u4f8b\u63a8\u6f14\u4e2d\u8fd8\u5c06\u4ecb\u7ecd\u53e6\u4e00\u4e2a\u4f18\u5316\u7684\u65b9\u6cd5\u3002\n<\/p><\/blockquote>\n<\/li>\n<\/ol>\n<p>\u4e3e\u5b9e\u4f8b\u7b80\u8ff0\u5339\u914d\u65b9\u6cd5\uff1a<br \/>\n1. \u8f93\u5165\u5b57\u7b26\u4e32 \u201cxxxx\u94c1\u738b\u5ea7xxxxx\u201d<br \/>\n   \u5339\u914d\u5230\u6a21\u5f0f\u201c\u94c1\u738b\u5ea7\u201d\u65f6\uff0c\u68c0\u67e5\u201c\u5355\u6a21\u5f0f\u89c4\u5219\u67e5\u8be2\u8868\u201d\uff0c\u53d1\u73b0\u8be5\u6a21\u5f0f\u5728\u8868\u4e2d\uff0c\u8fc5\u901f\u547d\u4e2dRule1\u3002\u5982\u679c\u4e1a\u52a1\u53ea\u9700\u8981\u53d1\u73b0\u4e00\u4e2a\u5339\u914d\u89c4\u5219\uff0c\u6b64\u65f6\u5c31\u53ef\u4ee5\u5feb\u901f\u7ed3\u675f\u5176\u5b83\u903b\u8f91\u3002<\/p>\n<ol start=\"2\">\n<li>\u8f93\u5165\u5b57\u7b26\u4e32 \u201cxxx\u63d0\u5229\u6602xxxx\u96ea\u8bfaxxxx\u201d<br \/>\n\u5339\u914d\u5230\u201c\u63d0\u5229\u6602\u201d\u65f6\uff0c\u68c0\u67e5\u201c\u5355\u6a21\u5f0f\u89c4\u5219\u67e5\u8be2\u8868\u201d\uff0c\u6ca1\u6709\u5339\u914d\u3002<br \/>\n\u5339\u914d\u5230\u201c\u96ea\u8bfa\u201d\u65f6\uff0c\u68c0\u67e5\u201c\u5355\u6a21\u5f0f\u89c4\u5219\u67e5\u8be2\u8868\u201d\uff0c\u6ca1\u6709\u5339\u914d\u3002<br \/>\n\u628a\u201c\u96ea\u8bfa\u201d\u548c\u201c\u63d0\u5229\u6602\u201d\u5408\u5728\u4e00\u8d77\u751f\u6210\u4e00\u4e2a\u60df\u4e00key\uff0c\u67e5\u201c\u53cc\u6a21\u5f0f\u89c4\u5219\u5efa\u67e5\u8be2\u54c8\u5e0c\u8868\u201d\uff0c\u547d\u4e2d\u3002<\/p>\n<\/li>\n<li>\n<p>\u8f93\u5165\u5b57\u7b26\u4e32 \u201cxxxx\u96ea\u8bfaxxxx\u591c\u738bxxxx\u9f99\u6bcdxxxx\u5f02\u9b3c\u519b\u56e2xxxxx\u5b88\u591c\u4eba\u201d<br \/>\n\u4f1a\u8fde\u7eed\u5339\u914d\u52305\u4e2a\u6a21\u5f0f\uff0c\u6bcf\u5339\u914d\u5230\u4e00\u4e2a\u6a21\u5f0f\uff0c\u6309\u7167\u524d\u8ff01\uff0c2\u7684\u65b9\u6cd5\u68c0\u67e5\u5355\u6a21\u5f0f\u54c8\u5e0c\u8868\u548c\u53cc\u6a21\u5f0f\u54c8\u5e0c\u8868\u3002\u4e00\u822c\u5730\uff0c\u547d\u4e2d\u7b2cn\u6b21\u6a21\u5f0f\u65f6\uff0c\u5c06\u4f1a\u5e26\u6765\u4e00\u6b21\u5355\u6a21\u5f0f\u54c8\u5e0c\u8868\u7684\u68c0\u67e5\u548c n-1 \u6b21\u53cc\u6a21\u5f0f\u54c8\u5e0c\u8868\u7684\u68c0\u67e5\u3002\u76f4\u5230\u5b57\u7b26\u4e32\u626b\u63cf\u7ed3\u675f\u3002\u8fdb\u5165\u5904\u7406\u591a\u6a21\u5f0f\u5b57\u7b26\u4e32\u7684\u9636\u6bb5\u3002\u5728\u8fd9\u4e2a\u9636\u6bb5\uff0c\u5df2\u7ecf\u62ff\u5230\u4e86\u5b57\u7b26\u4e32\u4e2d\u51fa\u73b0\u76845\u4e2a\u6a21\u5f0f\uff0c\u901a\u8fc7\u67e5\u627e\u201c\u5012\u6392\u7d22\u5f15\u8868\u201d\uff0c\u53ef\u4ee5\u627e\u5230\u6240\u6709\u53ef\u80fd\u7684\u591a\u6a21\u5f0f\u89c4\u5219\u3002\u6309\u7167\u9884\u5148\u8ba1\u7b97\u597d\u7684\u201c\u71b5\u201d\u7684\u5927\u5c0f\u6392\u5e8f\uff0c\u53d6\u71b5\u6700\u5c0f\uff08\u5373\u786e\u5b9a\u6027\u6700\u9ad8\uff09\u7684\u6a21\u5f0f\u5bf9\u5e94\u7684\u591a\u6a21\u5f0f\u89c4\u5219\u5f00\u59cb\u5c1d\u8bd5\u3002\u6b64\u4f8b\u4e2d\uff0c\u6a21\u5f0f\u201c\u9f99\u6bcd\u201d\uff0c\u201c\u5b88\u591c\u4eba\u201d\uff0c\u201c\u5f02\u9b3c\u519b\u56e2\u201d\uff0c\u201c\u591c\u738b\u201d\u7684\u71b5\u90fd\u662f1\uff0c\u800c\u201c\u96ea\u8bfa\u201d\u7684\u71b5\u662f4\uff0c\u8868\u793a\u67e5\u201c\u96ea\u8bfa\u201d\u5bf9\u7684\u89c4\u5219\u5c06\u6709\u6700\u5927\u7684\u4e0d\u786e\u5b9a\u6027\u3002\u4e8e\u662f\uff0c\u4ece\u71b5\u5c0f\u7684\u6a21\u5f0f\u5f00\u59cb\uff0c\u67e5\u201c\u9f99\u6bcd\u201d\u7684\u5012\u6392\u627e\u5230Rule3\uff0c\u53d1\u73b0\u4e0d\u5339\u914d\uff1b\u518d\u67e5\u201c\u5b88\u591c\u4eba\u201d\u7684\u5012\u6392\u627e\u5230Rule5\uff0c\u6b64\u65f6\u53d1\u73b0Rule5\u547d\u4e2d\u3002\u8fd9\u91cc\uff0c\u5c31\u4f53\u73b0\u51fa\u6765\u4e86\u7b80\u5316\u201c\u71b5\u201d\u7684\u7f3a\u70b9\uff0c\u5728\u5b9e\u9645\u5e94\u7528\u4e2d\uff0c\u5982\u679c\u7b97\u5f97\u4e25\u8c28\u7684\u71b5\u503c\uff0c\u4f1a\u8f83\u5927\u6982\u7387\u5730\u5148\u9009\u62e9\u201c\u5b88\u591c\u4eba\u201d\u6a21\u5f0f\u5bf9\u5e94\u7684\u591a\u6a21\u5f0f\u89c4\u5219\uff0c\u4e00\u51fb\u5373\u4e2d\uff01<\/p>\n<\/li>\n<li>\n<p>\u8f93\u5165\u5b57\u7b26\u4e32 \u201cxxxx\u96ea\u8bfaxxxx\u591c\u738bxxxx\u9f99\u6bcdxxxx\u5f02\u9b3c\u519b\u56e2xxxxx\u201d<br \/>\n\u6b64\u4f8b\u4e0e\u4f8b3\u7c7b\u4f3c\uff0c\u4f46\u7ed3\u679c\u5c06\u662f\u4e0d\u5339\u914d\u4efb\u4f55\u89c4\u5219\u3002\u524d\u90e8\u5206\u6b65\u9aa4\u4e0e\u4f8b3\u4e00\u6837\uff0c\u5f53\u6240\u6709\u201c\u71b5\u201d\u662f1\u7684\u6a21\u5f0f\u5bf9\u5e94\u7684\u591a\u6a21\u5f0f\u89c4\u5219\u88ab\u68c0\u67e5\u53d1\u73b0\u4e0d\u5339\u914d\u540e\uff0c\u518d\u627e\u5230\u201c\u96ea\u8bfa\u201d\u5bf9\u5e94\u7684\u6240\u6709\u591a\u6a21\u5f0f\u89c4\u5219\uff1aRule3,Rule4,Rule5\u3002\u6b64\u65f6\uff0c\u9700\u8981\u68c0\u67e5\u8fd9\u4e09\u4e2a\u89c4\u5219\u5417\uff1f\u4e0d\u9700\u8981\uff01\u56e0\u4e3a\u4e0d\u53ef\u80fd\u5339\u914d\u5230\u3002\u8fd9\u4e2a\u65ad\u8a00\u53ef\u4ee5\u4e00\u822c\u6027\u7684\u6982\u62ec\u4e3a\uff1a<\/p>\n<blockquote><p>\n  \u5df2\u627e\u5230 n \u4e2a\u5f7c\u6b64\u4e0d\u76f8\u540c\u7684\u6a21\u5f0f\uff0c\u5e76\u4e14\u5df2\u7ecf\u67e5\u627e\u8fc7 m \u4e2a\u6a21\u5f0f\u5bf9\u5e94\u7684\u89c4\u5219\u7686\u4e0d\u5339\u914d\uff0c\u8fd8\u5269\u4f59 n -m \u4e2a\u6a21\u5f0f\u5bf9\u5e94\u7684\u591a\u6a21\u5f0f\u89c4\u5219\u9700\u8981\u88ab\u68c0\u67e5\u3002\u8fd9\u65f6\u53d6\u7b2c m + 1\u4e2a\u6a21\u5f0f\u5bf9\u5e94\u7684\u6240\u6709\u591a\u6a21\u5f0f\u89c4\u5219\u3002\u5bf9\u4e8e\u5176\u4e2d\u6bcf\u4e2a\u89c4\u5219\uff0c\u53d6\u5f97\u5b83\u7684size\uff0c\u5373\u8fd9\u6761\u89c4\u5219\u7531\u591a\u5c11\u4e2a\u6a21\u5f0f\u7ec4\u6210\u3002\u5982\u679c size > (n &#8211; m)\uff0c\u90a3\u4e48\uff0c\u53ef\u4ee5\u7acb\u5373\u80af\u5b9a\u8fd9\u4e2aRule\u65e0\u6cd5\u5339\u914d\u3002\u4e0d\u7528\u6d6a\u8d39\u65f6\u95f4\u3002<br \/>\n  \u4e0a\u8ff0\u89c4\u5f8b\u9002\u7528\u4e8e\u201c\u67e5\u627e\u8fc7m\u4e2a\u6a21\u5f0f\u5bf9\u5e94\u7684\u89c4\u5219\u7686\u4e0d\u5339\u914d\u201d\u7684\u60c5\u51b5\uff0c\u5982\u679c\u5904\u7406\u524dm\u4e2a\u6a21\u5f0f\u7684\u5bf9\u5e94\u89c4\u5219\u65f6\u6709q\u4e2a\u6a21\u5f0f\u7684\u5bf9\u5e94\u89c4\u5219\u5b58\u5728\u547d\u4e2d\uff0c\u5219\u5224\u65ad\u5f0f\u6539\u4e3a size > (n &#8211; m + q)\n<\/p><\/blockquote>\n<\/li>\n<\/ol>\n<h4>\u6539\u8fdb\u95ee\u98983<\/h4>\n<p>\u95ee\u98983\u662f\u5339\u914d\u7b97\u6cd5\u7684\u6548\u7387\u95ee\u9898\uff0c\u662f\u5426\u8fd8\u6709\u53ef\u6539\u8fdb\u7684\u7a7a\u95f4\u5462\uff1f<br \/>\n\u65b0\u7b97\u6cd5\u5927\u6982\u4ece\u56db\u4e2a\u65b9\u9762\u63d0\u5347\u5339\u914d\u7b97\u6cd5\u7684\u6548\u7387\uff1a<\/p>\n<ol>\n<li>\u524d\u6587\u6709\u63d0\u5230\u572820\u4e07\u4e4b\u591a\u5927\u91cf\u6a21\u5f0f\u7684\u524d\u63d0\u4e0b\uff0c\u65e7\u7b97\u6cd5\u8ba1\u7b97\u7684\u201c\u8df3\u5b57\u7b26\u201d\u6b65\u957f\u5b9e\u9645\u662f1\u3002\u800c\u6211\u4eec\u7684\u4e1a\u52a1\u5904\u7406\u7684\u5b57\u7b26\u591a\u662futf8\u7f16\u7801\u7684\u4e2d\u6587\uff0c\u4e00\u4e2a\u4e2d\u6587\u5b57\u67093\u4e2abytes\uff0c\u5f53\u5904\u7406\u4e2d\u6587\u65f6\uff0c\u663e\u7136\u6b65\u957f\u53ef\u4ee5\u653e\u5fc3\u5730\u63d0\u52303bytes\u3002\u4e00\u822c\u5730\uff0cutf8\u7f16\u7801\u7684\u9996\u5b57\u8282\u8bb0\u8f7d\u4e86\u5f53\u524d\u201c\u5b57\u201d\u7684\u957f\u5ea6[3]\uff0c\u8fd9\u4e2a\u957f\u5ea6\u5373\u53ef\u4ee5\u4f5c\u4e3a\u201c\u8df3\u5b57\u7b26\u201d\u7684\u6b65\u957f\u3002\u5728\u4e2d\u6587\u5b57\u5360\u7edd\u5bf9\u591a\u6570\u7684\u60c5\u51b5\u4e0b\uff0c\u5e73\u5747\u6b65\u957f\u5e94\u8be5\u975e\u5e38\u63a5\u8fd13\uff0c\u800c\u65e7\u7b97\u6cd5\u53ea\u67091\u3002\u7c97\u7565\u5730\uff0c\u4e50\u89c2\u5730\u4f30\u8ba1\uff0c\u8fd9\u4e2a\u6539\u8fdb\u5c06\u4f7f\u5f97\u65b0\u7684\u7b97\u6cd5\u5c06\u83b7\u5f97\u63a5\u8fd13\u500d\u7684\u6027\u80fd\u63d0\u5347\u3002<\/p>\n<\/li>\n<li>\n<p>\u4e1a\u52a1\u5904\u7406\u7684\u6587\u672c\u591a\u662futf8\u7f16\u7801\u7684\u4e2d\u6587\u6587\u672c\uff0c\u800c\u65e7\u7b97\u6cd5\u7528\u7684\u662f\u901a\u7528\u7684\u7f16\u7801\u65e0\u5173\u7684\u7b97\u6cd5\uff0c\u672a\u5bf9utf8\u4e2d\u6587\u4f5c\u4f18\u5316\u3002\u5f88\u5bb9\u6613\u60f3\u5230\uff0c\u5982\u679c\u4ee5\u4e00\u4e2autf8\u5b57\u7b26\u4e3a\u5355\u4f4d\u5efaTrie Tree\u6bd4\u4ee5Byte\u4e3a\u5355\u4f4d\u5efaTrie Tree\u5c06\u83b7\u5f97\u66f4\u7d27\u51d1\u7684\u5185\u5b58\u5e03\u5c40\uff0c\u548c\u66f4\u9ad8\u6548\u7684cpu\u5229\u7528\u3002\u65e2\u80fd\u63d0\u9ad8\u901f\u5ea6\u53c8\u80fd\u8282\u7701\u5185\u5b58\u3002<\/p>\n<\/li>\n<li>\n<p>\u81f3\u6b64\uff0c\u65b0\u7b97\u6cd5\u5c06\u5728Trie Tree\u7684\u7ed3\u70b9\u5b58\u4e00\u4e2autf8\u5b57\u7b26\uff0c\u5927\u591a\u6570\u60c5\u51b5\u4e0b\u662f\u4e00\u4e2a3bytes\u7684\u4e2d\u6587\u5b57\u3002\u4f46\u73b0\u4ee3\u670d\u52a1\u5668\u7684cpu\u662f64\u4f4d\u7684\uff0c\u4e00\u4e2a\u4e2d\u6587\u5b57\u4e5f\u624d\u5360\u4e863\u5b57\u8282\uff0c\u8fd8\u67095\u4e2a\u5b57\u8282\u6ca1\u6709\u5229\u7528\u4e0a\u554a\uff01\u8fd9\u65f6\uff0c\u6709\u70b9NLP\u7ecf\u9a8c\u7684\u5f00\u53d1\u8005\u5e94\u8be5\u9a6c\u4e0a\u60f3\u5230Bigram\u4e86\u3002\u4f7f\u7528Bigram\u201c\u4e8c\u5143\u6a21\u578b\u201d\u80fd\u7ee7\u7eed\u63d0\u9ad8\u6027\u80fd\u3002\u626b\u63cfutf8\u5b57\u7b26\u4e32\u65f6\uff0c\u6bcf\u6b21\u53d6\u4e00\u4e2aBigram\uff0c\u867d\u7136\u8df3\u8282\u7b26\u8df3\u5b57\u7b26\u6b65\u957f\u4ecd\u7136\u662f\u4e00\u4e2autf8\u5b57\u7b26\uff0c\u4f46\u56e0\u4e3a\u6bcf\u6b21\u53d6\u51fa\u4e24\u4e2autf8\u5b57\u7ec4\u6210Bigram\u589e\u52a0\u4e86\u4e0a\u4e0b\u6587\u4fe1\u606f\uff0c\u5339\u914d\u6548\u7387\u5c06\u5927\u5927\u589e\u52a0\uff0c\u5927\u91cf\u5730\u51cf\u5c11\u4e86\u56e0\u4e3a\u5355\u4e2autf8\u5b57\u5339\u914d\u5230\u6a21\u5f0f\u7b2c\u4e00\u4e2autf8\u5b57\u800c\u9020\u6210\u7684\u65e0\u8c13\u5730\u201c\u722c\u6811\u201d\u65f6\u95f4\u3002\u4e3a\u5229\u7528\u597dBigram\uff0c\u65b0\u7b97\u6cd5\u7684Trie Tree\u7684\u7b2c1\u5c42\uff08\u6811\u6839\u8bb0\u4e3a\u7b2c0\u5c42\uff09\u5c06\u5b58\u4e00\u4e2aBigram\uff0c\u800c\u5176\u4ed6\u5c42\u4ecd\u7136\u5b58\u5355\u4e2autf8\u5b57\u3002\u65b0\u65e7\u7b97\u6cd5\u7684Trie Tree\u5c06\u5206\u522b\u5982\u4e0b\u6587\u7684Figure 1\uff0cFigure 2\u6240\u793a\u3002\u4f46\u5f15\u5165\u4e0a\u8ff0Bigram\u7684\u903b\u8f91\u5c06\u5f15\u5165\u4e00\u4e2a\u65b0\u95ee\u9898\uff0c\u5373\u65e0\u6cd5\u7528\u65b0\u7684Trie Tree\u547d\u4e2d\u5355\u4e2autf8\u5b57\u7684\u6a21\u5f0f\u3002\u6bd4\u5982Rule2\u4e2d\u7684ascii\u5b57\u7b26\uff0c\u6570\u5b57\u201c2\u201d\u548cRule4\u4e2d\u7684\u4e2d\u6587\u5b57\u201c\u5e8a\u201d\u3002\u597d\u5728\u8fd9\u6837\u7684\u5355\u4e2a\u5b57\u6a21\u5f0f\u5728\u89c4\u5219\u4e2d\u91cf\u5f88\u5c11\uff0c\u53ef\u4ee5\u628a\u627e\u5355\u4e2a\u5b57\u6a21\u5f0f\u7684\u903b\u8f91\u63a8\u8fdf\u5230\u547d\u4e2d\u4e86\u9700\u8981\u5355\u4e2a\u5b57\u6a21\u5f0f\u7684\u89c4\u5219\u65f6\u3002\u4e3e\u4f8b\u8bf4\u660e\u5373\u5f53\u53d1\u73b0\u547d\u4e2d\u4e86Rule4\u4e2d\u7684\u6a21\u5f0f\u201c\u9f99\u6bcd\u201d\uff0c\u6f5c\u5728\u53ef\u80fd\u547d\u4e2dRule4\uff0c\u6b64\u65f6\u518d\u626b\u63cf\u4e00\u904d\u539f\u6587\u672c\u770b\u6709\u6ca1\u6709\u201c\u5e8a\u201d\u8fd9\u4e2a\u6a21\u5f0f\u3002\u56e0\u4e3a\u8fd9\u4e2a\u7279\u6b8a\u60c5\u51b5\u5728\u6240\u6709\u89c4\u5219\u4e2d\u6240\u5360\u6bd4\u91cd\u975e\u5e38\u4f4e\uff0c\u6240\u4ee5\u6267\u884c\u5230\u8fd9\u4e2a\u903b\u8f91\u4e5f\u4f1a\u5f88\u5c11\uff0c\u56e0\u6b64\u8fd9\u4e2a\u989d\u5916\u7684\u63a8\u8fdf\u903b\u8f91\u4e0d\u4f1a\u62d6\u7d2f\u65b0\u7b97\u6cd5\u7684\u6574\u4f53\u6548\u7387\u3002\u5728\u7edd\u5927\u591a\u6570\u60c5\u51b5\u4e0b\uff0c\u5f15\u5165Bigram\u5c06\u63d0\u9ad8\u6548\u7387\uff0c\u53ef\u5ffd\u7565\u5f15\u5165\u7684\u989d\u5916\u903b\u8f91\u9020\u6210\u7684\u8d1f\u62c5\u3002\u8fd8\u6709\u6781\u7aef\u7684\u53ea\u6709\u4e00\u4e2autf8\u5b57\u7684\u6a21\u5f0f\u5355\u72ec\u7ec4\u6210\u4e00\u4e2a\u89c4\u5219\uff0c\u8fd9\u79cd\u6781\u7aef\u60c5\u51b5\u76ee\u524d\u6ca1\u6709\u51fa\u73b0\uff0c\u672a\u6765\u51fa\u73b0\u7684\u53ef\u80fd\u6027\u4e5f\u5f88\u4f4e\uff0c\u6682\u65f6\u4e0d\u4e88\u8003\u8651\u3002\u5373\u4f7f\u51fa\u73b0\u4e86\u4e5f\u80fd\u5728\u4e0d\u53ef\u907f\u514d\u5730\uff0c\u81f3\u5c11\u4e00\u6b21\u904d\u5386\u5b57\u7b26\u4e32\u65f6\u8f7b\u6613\u89e3\u51b3\u3002<\/p>\n<\/li>\n<li>\n<p>\u7b2c\u56db\u70b9\u5012\u4e0d\u662f\u7b97\u6cd5\u5c42\u9762\u7684\u6539\u8fdb\uff0c\u800c\u662f\u628a\u65e7\u7b97\u6cd5\u4e2d\u4e0d\u5fc5\u8981\u7684\u5806\u5206\u914d\u4ee5\u53ca\u5404\u79cd\u4e0d\u5fc5\u8981\u7684\u5176\u4ed6\u5f00\u9500\u5168\u90e8\u5220\u6389\uff0c\u7559\u4e0b\u5e72\u5e72\u51c0\u51c0\u7eaf\u5e72\u6d3b\u7684\u4ee3\u7801\u3002<\/p>\n<\/li>\n<\/ol>\n<p>\u7efc\u5408\u4e0a\u8ff0\u6539\u8fdb\uff0c\u5982\u4e0b\u793a\u610f\u56fe\u662f\u65b0\u65e7\u5339\u914d\u7b97\u6cd5\u7684Trie Tree\u3002<\/p>\n<p><img decoding=\"async\" src=\"http:\/\/ykyi.net\/zausiu\/imgs\/TrieTree_neo.png\" alt=\"\u65b0\u7b97\u6cd5TrieTree\" \/><br \/>\n<strong>Figure 1 \u65b0\u7b97\u6cd5\u7684Trie Tree<\/strong><\/p>\n<p><img decoding=\"async\" src=\"http:\/\/ykyi.net\/zausiu\/imgs\/TrieTree_old.png\" alt=\"\u65e7\u7b97\u6cd5TrieTree\" \/><br \/>\n<strong>Figure 2 \u65e7\u7b97\u6cd5\u7684Trie Tree<\/strong><\/p>\n<p>\u5bf9\u7167\u65b0\u65e7\u7b97\u6cd5\u7684Trie Tree\uff0c\u770b\u56fe\uff0c\u66f4\u5bb9\u6613\u7406\u89e3\u4e3a\u4f55\u65b0\u7b97\u6cd5\u53c8\u5feb\u53c8\u7701\u5185\u5b58\u3002<br \/>\n\u65b0\u7b97\u6cd5\u7684Trie Tree\u7b2c\u4e00\u5c42\u4f7f\u7528Bigram\uff0c\u4e00\u4e9b\u4e0d\u4f1a\u547d\u4e2d\u7684\u666e\u901a\u6587\u672c\u51e0\u4e4e\u5728\u6811\u7684\u7b2c\u4e00\u5c42\u5c31\u88ab\u53d1\u73b0\u4e86\uff0c\u800c\u65e7\u7b97\u6cd5\u6bcf\u4e2a\u7ed3\u70b9\u53ea\u5b58\u4e86\u4e00\u4e2aByte\u7684\u6570\u636e\uff0c\u4f46utf8\u4e2d\u6587\u5b57\u7684\u7b2c\u4e00\u4e2aByte\u6709\u56db\u4e2abit\u4f4d\u662f\u56fa\u5b9a\u7684\uff0c\u5728\u6709\u8fd1\u4e8c\u5341\u4e07\u4e2a\u6a21\u5f0f\u7684\u60c5\u51b5\u4e0b\uff0c\u65e7\u7b97\u6cd5\u51e0\u4e4e\u5bf9\u6bcf\u4e2a\u4e2d\u6587\u5b57\u90fd\u4f1a\u201c\u722c\u6811\u201d\u5230\u81f3\u5c11\u7b2c\u4e8c\u5c42\u3002<br \/>\n\u518d\u4e3e\u4e2a\u4f8b\u5b50\uff0c\u8f93\u5165\u5b57\u7b26\u4e32\u201c\u96ea\u82b1\u5564\u9152\u201d\uff0c\u56e0\u4e3a\u6709\u6a21\u5f0f\u201c\u96ea\u8bfa\u201d\uff0c\u5f53\u5904\u7406\u7b2c\u4e00\u4e2a\u6c49\u5b57\u201c\u96ea\u201d\u65f6\u3002\u65b0\u7b97\u6cd5\u4f1a\u53d6Bigram&#8221;\u96ea\u82b1&#8221;\uff0c\u5728\u6811\u7684\u7b2c\u4e00\u5c42\u5373\u53d1\u73b0\u4e0d\u53ef\u80fd\u5339\u914d\uff0c\u4f46\u65e7\u7b97\u6cd5\u722c\u5230\u6811\u7684\u7b2c\u4e09\u5c42\u65f6\u4f1a\u547d\u4e2d\u201c\u96ea\u201d\uff0c\u81f3\u5c11\u8981\u722c\u5230\u6811\u7684\u7b2c\u56db\u5c42\u624d\u80fd\u5f97\u51fa\u4e0d\u5339\u914d\u7684\u7ed3\u8bba\u3002<\/p>\n<h2>\u672a\u6765\u6539\u8fdb<\/h2>\n<p>\u65b0\u7684\u5f62\u52bf\u5bf9\u8be5\u4e1a\u52a1\u63d0\u51fa\u66f4\u9ad8\u7684\u8981\u6c42\uff0c\u672a\u6765\u9700\u8981\u5904\u7406\u66f4\u590d\u6742\u7684\u5339\u914d\u89c4\u5219\uff0c\u6bd4\u5982\u914c\u60c5\u5b9e\u73b0\u201c\u6b63\u5219\u5f0f\u201d\u7684\u5b50\u96c6\u3002<\/p>\n<h2>\u53c2\u8003\u8d44\u6599<\/h2>\n<p>[1]: Robert S. Boyer, Standford Research Institute &amp; J Strother Moore, Xerox Palo Alto Research Center. A fast String Searching Algorithm. Communications of the ACM. 1977.<br \/>\n[2]: Ricardo Baeza-Yates &amp; Berthier Ribeiro-Neto. Modern Information Retrieval, 2nd. P385, 3rd paragraph. 2011.<br \/>\n[3]: utf8\u7ef4\u57fa\u767e\u79d1\u8bcd\u6761 https:\/\/en.wikipedia.org\/wiki\/UTF-8<\/p>\n","protected":false},"excerpt":{"rendered":"<p>utf8\u4e2d\u6587\u5b57\u7b26\u4e32\u7684\u591a\u6a21\u5f0f\u5339\u914d\u7b97\u6cd5\u7684\u4f18\u5316 \u4fe1\u606f\u5b89\u5168\u90e8\u63a5\u53e3\u7ec4 kamuszhou@tencent.com \u6548\u679c \u672c\u8282\u4ec5\u5c55\u793a\u4f18\u5316\u6548\u679c\uff0c\u5bf9\u4e00\u4e9b\u4e1a\u52a1\u903b\u8f91\u548c\u80cc\u666f\u672a\u505a\u89e3\u91ca\uff0c\u8bfb\u8005\u53ef\u76f4\u63a5\u8df3\u81f3\u4e0b\u4e00\u8282\u3002 \u4e0a\u4e2a\u6708\u63a5\u89e6\u5230\u4e86\u6211\u7ec4\u7684\u4e00\u4e2a\u5173\u4e8e\u5728\u6d77\u91cf\u6587\u672c\u4e2d\u5339\u914d\u5b57\u7b26\u4e32\u4e1a\u52a1\u3002\u8bfb\u6e90\u4ee3\u7801\u65f6\u53d1\u73b0\u4e00\u4e9b\u95ee\u9898\uff0c\u5e76\u9488\u5bf9\u8fd9\u4e9b\u95ee\u9898\u505a\u4e86\u4f18\u5316\u5de5\u4f5c\uff0c\u6548\u679c\u975e\u5e38\u660e\u663e\u3002 \u6d4b\u8bd5\u7684\u786c\u4ef6\u73af\u5883\u662f\u53ea\u7528\u4e00\u9897\u4e3b\u98912.4G\u7684Intel\u81f3\u5f3a\u5904\u7406\u5668\u6838\u5fc3\u3002OS\u662ftlinux2\u3002\u8be5\u4e1a\u52a1\u76ee\u524d\u8f7d\u516511\u4e073\u5343\u6761\u89c4\u5219\u3002\u4f18\u5316\u524d\u540e\u7684\u6548\u679c\u5982\u4e0b\uff1a |\u8f7d\u5165 | \u65e7\u7b97\u6cd5 |\u65e7\u7b97\u6cd5\u7b80\u7248| \u65b0\u7b97\u6cd5 | \u63d0\u5347\u6548\u679c | |:&#8212;:|:&#8212;&#8212;:|:&#8212;&#8212;&#8211;:|:&#8212;&#8212;-:|:&#8212;&#8212;-:| |\u901f\u5ea6 | 26\u5206\u949f | 3\u5206\u949f | 3\u79d2 |60\u500d\u6216250\u500d| |\u5185\u5b58 | 4327M | 4327M | \u4e0d\u5230200M| 20\u500d | * \u8868\u4e2d\u7684\u201c\u65e7\u7b97\u6cd5\u7b80\u7248\u201d\u6307\u53bb\u6389\u4e86\u4e00\u4e2a\u7e41\u7410\u7684\u9884\u8ba1\u7b97\u6b65\u9aa4 |\u5904\u7406\u901f\u5ea6 | \u65e7\u7b97\u6cd5 | \u65b0\u7b97\u6cd5 | \u63d0\u5347\u6548\u679c | |:&#8212;:|:&#8212;&#8212;:|:&#8212;&#8212;&#8211;:|:&#8212;&#8212;-:| |\u752811\u4e073\u5343\u6761\u89c4\u5219\u4f5c\u4e3a\u5f85\u68c0\u6d4b\u6587\u672c|52\u79d2|2\u79d2|26\u500d| |10\u500d\u56db\u5927\u540d\u8457\u517188M,\u5e73\u5747\u6bcf\u884c143\u4e2a\u6c49\u5b57|59\u79d2|10\u79d2|\u8fd16\u500d| |\u6587\u5b57\u9009\u81ea\u56db\u5927\u540d\u8457\u517187M,\u5e73\u5747\u6bcf\u884c10\u4e2a\u6c49\u5b57|161\u79d2|5\u79d2|32\u500d| * \u752811\u4e073\u5343\u6761\u89c4\u5219\u4f5c\u4e3a\u5f85\u68c0\u6d4b\u6587\u672c\u4f7f\u5f97\u65b0\u65e7\u7b97\u6cd5\u90fd\u4f1a\u5bc6\u96c6\u5730\u8d70\u5230\u201c\u547d\u4e2d\u903b\u8f91\u201d\uff0c\u65e8\u5728\u6bd4\u8f83\u201c\u547d\u4e2d\u903b\u8f91\u201d\u7684\u6027\u80fd\u3002 * \u7528\u56db\u5927\u540d\u8457\u4f5c\u4e3a\u5f85\u68c0\u6d4b\u6587\u672c\uff0c\u4f7f\u5f97\u65b0\u65e7\u7b97\u6cd5\u51e0\u4e4e\u4e0d\u4f1a\u8d70\u5230\u201c\u547d\u4e2d\u903b\u8f91\u201d\uff0c\u65e8\u5728\u6bd4\u8f83\u7b97\u6cd5\u5904\u7406\u6b63\u5e38\u6587\u672c\u65f6\u7684\u6027\u80fd\u3002\u800c\u6bcf\u6b21\u5904\u7406\u6587\u672c\u7684\u957f\u5ea6\u4ea6\u53ef\u80fd\u5f71\u54cd\u5230\u6027\u80fd\u8868\u73b0\u3002\u5982\u8868\u6240\u793a\uff0c\u5904\u7406\u77ed\u6587\u672c\uff0810\u4e2a\u6c49\u5b57\uff09\u65f6\uff0c\u65b0\u7b97\u6cd5\u7684\u4f18\u52bf\u6709\u6240\u964d\u4f4e\uff0c\u53ef\u89e3\u91ca\u4e3a\u65e7\u7b97\u6cd5\u4e3a\u542f\u52a8\u6bcf\u4e00\u6b21\u5904\u7406\u6d88\u8017\u8f83\u5927\u7684\u8d44\u6e90\uff0c\u800c\u5982\u679c\u5904\u7406\u7684\u6587\u672c\u8f83\u957f\u65f6\uff0c\u8fd9\u4e2a\u8d44\u6e90\u6d88\u8017\u5206\u644a\u5230\u6bcf\u4e2a\u5f85\u5904\u7406\u5b57\u7b26\u5c31\u76f8\u5bf9\u4e0d\u90a3\u4e48\u660e\u663e\u4e86\u3002 \u5728\u4e00\u53f024\u6838\u7684M2\u673a\u5668\u4e0a\uff0c\u7406\u8bba\u4f30\u8ba1\u65b0\u7b97\u6cd5\u4e00\u5929\u53ef\u4ee5\u5904\u740636,495,360M\u6587\u672c\uff0c36\u4e2aT~ \u4e1a\u52a1\u7b80\u8ff0 \u8be5\u4e1a\u52a1\u7684\u6838\u5fc3\u95ee\u9898\u7b80\u5355\u5730\u8fd1\u4f3c\u6982\u62ec\u4e3a\uff1a \u6709\u51e0\u5341\u4e07\u751a\u81f3\u66f4\u591a\u7684\u6a21\u5f0f(\u77ed\u5b57\u7b26\u4e32)\u96c6\u5408P={P1, &hellip; 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