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\u7ea2\u9ed1\u6811\u7b97\u6cd5\u5728\u662f\u5426\u4ee5\u53ca\u4f55\u65f6\u8fdb\u884c\u65cb\u8f6c\u548c\u989c\u8272\u7ffb\u8f6c\u65b9\u9762\u5b58\u5728\u5dee\u5f02\uff0c\u4ee5\u4fbf\u7ef4\u62a4\u4e0a\u9762\u7684\u4e0d\u53d8\u91cf<\/p>\n

\u5de6\u65cb\uff08Left rotate\uff09<\/strong><\/p>\n

\"\u5728\u8fd9\u91cc\u63d2\u5165\u56fe\u7247\u63cf\u8ff0\"<\/p>\n

\u53f3\u65cb\uff08Right rotate\uff09<\/strong><\/p>\n

\"\u5728\u8fd9\u91cc\u63d2\u5165\u56fe\u7247\u63cf\u8ff0\"<\/p>\n

\u989c\u8272\u7ffb\u8f6c<\/strong><\/p>\n

\"\u5728\u8fd9\u91cc\u63d2\u5165\u56fe\u7247\u63cf\u8ff0\"<\/p>\n

\u8be5\u4e32\u4ee3\u7801\u5c06\u8282\u70b9h\u53cah\u7684\u4e24\u4e2a\u5b69\u5b50\u989c\u8272\u7ffb\u8f6c\uff0c\u53d8\u4e3a\u4e0e\u4e4b\u524d\u76f8\u53cd\u7684\u989c\u8272\u3002\u5177\u4f53\u7684Node\u7c7b\u578b\u4f1a\u5728\u540e\u9762\u9610\u8ff0<\/p>\n

<\/a><\/a><\/a>\u5de6\u503e\u7ea2\u9ed1\u6811<\/h2>\n

\u4ee3\u7801\u7684\u8d77\u70b9\u662f\u6807\u51c6BST\u7684Java\u5b9e\u73b0\uff0c\u5982\u4e0b\u9762\u7684\u4ee3\u7801\u6240\u793a\u3002\u5728\u4e0b\u9762\u7684\u4ee3\u7801\u4e2d\u4f7f\u7528\u6cdb\u578b\u4ee5\u4e00\u79cd\u7c7b\u578b\u5b89\u5168\u7684\u65b9\u5f0f\u5b9e\u73b0\uff0c\u5982\u679c\u4e0d\u4f7f\u7528\u6cdb\u578b\u5219\u4ee3\u7801\u662f\u6807\u51c6\u7684\uff0c\u53ef\u4ee5\u8f7b\u677e\u7684\u7ffb\u8bd1\u6210\u5176\u4ed6\u8bed\u8a00\u6216\u5e94\u7528\u4e8e\u4e0d\u9700\u8981\u6cdb\u578b\u7c7b\u578b\u7684\u7279\u5b9a\u5e94\u7528\u7a0b\u5e8f\u3002<\/p>\n

\u5728\u76ee\u524d\u7684\u4e0a\u4e0b\u6587\u4e2d\uff0c\u5b9e\u73b0\u7684\u4e00\u4e2a\u91cd\u8981\u7279\u6027\u662finsert()\u7684\u5b9e\u73b0\u662f\u9012\u5f52\u7684\uff1a\u6bcf\u4e2a\u9012\u5f52\u90fd\u4ee5\u4e00\u4e2a\u94fe\u63a5\uff08link\uff09\u4f5c\u4e3a\u53c2\u6570\u5e76\u8fd4\u56de\u4e00\u4e2a\u94fe\u63a5\uff0c\u8be5\u94fe\u63a5\u7528\u4e8e\u91cd\u7f6e\u4ece\u8be5\u94fe\u63a5\u83b7\u53d6\u7684\u5b57\u6bb5\uff08\u8fd9\u4e48\u8bf4\u5f88\u62bd\u8c61\uff0c\u539f\u6587\u5927\u6982\u539f\u610f\u5c31\u662f\u6bcf\u6b21\u9012\u5f52\u83b7\u5f97\u4e00\u4e2a\u65b0\u7684\u8282\u70b9\uff0c\u7528\u8fd9\u4e2a\u65b0\u7684\u8282\u70b9\u518d\u6b21\u8fdb\u884c\u9012\u5f52\uff09\u3002\u5bf9\u4e8e\u6807\u51c6\u7684BST\uff0c\u9664\u4e86\u6811\u7684\u5e95\u90e8\uff0c\u53c2\u6570\u548c\u8fd4\u56de\u503c\u662f\u76f8\u540c\u7684\u3002\u8fd9\u91cc\u7684\u4ee3\u7801\uff08insert()\uff09\u7528\u4e8e\u63d2\u5165\u65b0\u8282\u70b9\u3002\u5bf9\u4e8e\u7ea2\u9ed1\u6811\uff0c\u8fd9\u4e2a\u9012\u5f52\u6709\u52a9\u4e8e\u7b80\u5316\u4ee3\u7801<\/p>\n

\u9664\u6b64\u4e4b\u5916\uff0c\u5bf9\u4e8esearch()\u64cd\u4f5c\u4e5f\u53ef\u4ee5\u4f7f\u7528\u9012\u5f52\u5b9e\u73b0\u3002\u4f46\u662f\u8fd9\u91cc\u5e76\u4e0d\u4f1a\u4f7f\u7528\u9012\u5f52\u5b9e\u73b0\uff0c\u56e0\u4e3a\u8fd9\u4e2a\u64cd\u4f5c\u5c5e\u4e8e\u5178\u578b\u7684\u7a0b\u5e8f\u5185\u90e8\u5faa\u73af\uff0c\u5b9e\u73b0\u7ea2\u9ed1\u6811\u7b97\u6cd5\u7684\u57fa\u7840\u5b9e\u5728\u8fd9\u6bb5\u4ee3\u7801\u4e2d\u6dfb\u52a0\u65cb\u8f6c\u548c\u989c\u8272\u7ffb\u8f6c\u64cd\u4f5c\u3002\u4ee5\u4fbf\u7ef4\u62a4\u6811\u4e2d\u7684\u5e73\u8861\u4e0d\u53d8\u91cf<\/p>\n

\u5728\u672c\u6587\u7684\u4ee3\u7801\u4e2d\uff0c\u6211\u4eec\u5c55\u793a\u4e86\u53ef\u4ee5\u901a\u8fc7\u4ee5\u4e0b\u65b9\u5f0f\u6765\u5927\u5927\u51cf\u5c11\u9700\u8981\u8003\u8651\u7684\u60c5\u51b5\uff1a<\/p>\n

1\uff1a\u8981\u6c423\u8282\u70b9\u603b\u662f\u5411\u5de6\u503e\u659c\uff08\u5e76\u4e144\u8282\u70b9\u662f\u5e73\u8861\u7684\uff09<\/p>\n

2\uff1a\u5728\u9012\u5f52\u8c03\u7528\u4e4b\u540e\uff0c\u5728\u6811\u7684\u8def\u5f84\u4e0a\u8fdb\u884c\u65cb\u8f6c<\/p>\n

\u5411\u5de6\u503e\u659c\u7684\u8981\u6c42\u7ed9\u51fa\u4e86\u7ea2\u9ed1\u6811\u548c2-3-4\u6811\u4e4b\u95f4\u76841-1\u5bf9\u5e94\u5173\u7cfb\uff0c\u5e76\u51cf\u5c11\u4e86\u9700\u8981\u8003\u8651\u7684\u60c5\u51b5\u6570\u91cf\u3002<\/p>\n

\u5faa\u73af\u5411\u4e0a\u65cb\u8f6c\u7b56\u7565\u901a\u8fc7\u4e00\u79cd\u81ea\u7136\u65b9\u5f0f\u7ec4\u5408\u5404\u79cd\u60c5\u51b5\u7b80\u5316\u4e86\u4ee3\u7801\uff08\u4ee5\u53ca\u6211\u4eec\u5bf9\u5b83\u7684\u7406\u89e3\uff09\uff0c\u8fd9\u4e24\u79cd\u65b9\u6cd5\u5e76\u4e0d\u662f\u4ec0\u4e48\u65b0\u65b9\u6cd5\uff0c\u4f46\u662f\u4e8c\u8005\u7ed3\u5408\u5728\u4e00\u8d77\u5728\u51cf\u5c11\u4ee3\u7801\u6570\u91cf\u65b9\u9762\u5374\u51fa\u5947\u7684\u6709\u6548\u3002<\/p>\n

\u81ea\u9876\u5411\u4e0b\u76842-3-4\u6811\u63d2\u5165\u4e00\u4e2a\u65b0\u8282\u70b9\uff0c\u6211\u4eec\u7ffb\u8f6c\u989c\u8272\u4ee5\u5206\u5272\u5728\u6811\u4e0b\u7684\u8def\u5f84\u4e0a\u9047\u5230\u7684\u4efb\u4f554\u8282\u70b9\u5e76\u5e76\u8fdb\u884c\u65cb\u8f6c\u4ee5\u5e73\u88614\u8282\u70b9\uff08\u6d88\u9664\u5728\u6811\u4e0a\u51fa\u73b0\u7684\u8fde\u7eed\u7684\u7ea2\u8272\u94fe\u63a5\uff09\u3002\u8fd9\u79cd\u65b9\u6cd5\u662f\u5f88\u81ea\u7136\u7684\uff0c\u56e0\u4e3a\u5206\u88c24\u8282\u70b9\u4ee5\u786e\u4fdd\u641c\u7d22\u4e0d\u4f1a\u57284\u8282\u70b9\u4e0a\u7ec8\u6b62\uff0c\u610f\u5473\u7740\u53ef\u4ee5\u901a\u8fc7\u9644\u52a0\u7ea2\u8272\u94fe\u63a5\u6dfb\u52a0\u65b0\u8282\u70b9\uff0c\u5e76\u5e73\u88614\u8282\u70b9\u6570\u91cf\uff0c\u5e73\u88614\u8282\u70b9\u7684\u4e09\u79cd\u65b9\u5f0f\u5982\u4e0b\u9762\u7684\u56fe\u7247\u6240\u793a\u3002\u5982\u679c\u4f20\u9012\u7684\u7ea2\u8272\u8fde\u63a5\u6070\u597d\u57283\u8282\u70b9\u4e2d\u5411\u53f3\u503e\u659c\uff0c\u6211\u4eec\u5728\u9047\u5230\u5b83\u65f6\u4f1a\u7ea0\u6b63\u8fd9\u79cd\u60c5\u51b5<\/p>\n

2-3\u6811\u503c\u5f97\u6ce8\u610f\u7684\u65f6\uff0c\u5728\u4e0a\u9762\u63cf\u8ff0\u7684\u81ea\u4e0a\u800c\u4e0b\u76842-3-4\u6811\u5b9e\u73b0\u4e2d\uff0c\u5c06\u989c\u8272\u7ffb\u8f6c\u79fb\u52a8\u5230\u6700\u540e\uff0c\u4ea7\u751f\u4e862-3\u6811\u7684\u5b9e\u73b0\uff0c\u6211\u4eec\u5c06\u901a\u8fc7\u989c\u8272\u7ffb\u8f6c\uff0c\u5411\u6811\u4f20\u9012\u7ea2\u8272\u8fde\u63a5\uff0c\u4ee5\u53ca\u5728\u6811\u4e2d\u79fb\u52a8\u65f6\u4ee5\u5b8c\u5168\u76f8\u540c\u7684\u65b9\u5f0f\u5904\u7406\u8fd9\u6837\u505a\u7684\u6548\u679c<\/p>\n

\u5728\u5de6\u503e\u7ea2\u9ed1\u6811\u4e2d\u4f20\u9012\u4e00\u4e2a\u7ea2\u8272\u8282\u70b9<\/strong><\/p>\n

\"\u5728\u8fd9\u91cc\u63d2\u5165\u56fe\u7247\u63cf\u8ff0\"<\/p>\n

public<\/span> class<\/span> LLRB<\/span><<\/span>Key extends<\/span> Comparable<\/span><<\/span>Key><\/span><\/span>,<\/span> Value><\/span> {<\/span>   \r\n\r\n\tprivate<\/span> static<\/span> final<\/span> boolean<\/span> RED   =<\/span> true<\/span>;<\/span>  \r\n\tprivate<\/span> static<\/span> final<\/span> boolean<\/span> BLACK =<\/span> false<\/span>;<\/span>\r\n\tprivate<\/span> Node root;<\/span>\r\n\tprivate<\/span> class<\/span> Node<\/span>{<\/span>     \r\n\t\tprivate<\/span> Key key;<\/span>     \r\n\t\tprivate<\/span> Value val;<\/span>     \r\n\t\tprivate<\/span> Node left,<\/span> right;<\/span>      \r\n\t\tprivate<\/span> boolean<\/span> color;<\/span>      \/\/\u7528\u4e00\u4f4d\u5b57\u6bb5\u8868\u793a\u989c\u8272<\/span>\r\n\t\tNode<\/span>(<\/span>Key key,<\/span> Value val)<\/span>{<\/span>         \r\n\t\t\tthis<\/span>.<\/span>key =<\/span> key;<\/span>  \r\n\t\t\tthis<\/span>.<\/span>val =<\/span> val;<\/span>        \r\n\t\t\tthis<\/span>.<\/span>color =<\/span> RED;<\/span>     \/\/\u65b0\u8282\u70b9\u603b\u662f\u7ea2\u8272<\/span>\r\n\r\n\t\t}<\/span>   \r\n\t}<\/span>\r\n\r\n\tpublic<\/span> Value search<\/span>(<\/span>Key key)<\/span>{<\/span>      \r\n\r\n\t\tNode x =<\/span> root;<\/span>     \r\n\t\twhile<\/span> (<\/span>x !=<\/span> null)<\/span>{<\/span>        \r\n\t\t\tint<\/span> cmp =<\/span> key.<\/span>compareTo<\/span>(<\/span>x.<\/span>key)<\/span>;<\/span>         \r\n\t\t\tif<\/span> (<\/span>cmp ==<\/span> 0<\/span>)<\/span> return<\/span> x.<\/span>val;<\/span>         \r\n\t\t\telse<\/span> if<\/span> (<\/span>cmp <<\/span> 0<\/span>)<\/span> x =<\/span> x.<\/span>left;<\/span>         \r\n\t\t\telse<\/span> if<\/span> (<\/span>cmp ><\/span> 0<\/span>)<\/span> x =<\/span> x.<\/span>right;<\/span>      \r\n\t\t}<\/span>      \r\n\t\treturn<\/span> null;<\/span>   \r\n\t}<\/span>\r\n\t\r\n\tpublic<\/span> void<\/span> insert<\/span>(<\/span>Key key,<\/span> Value value)<\/span>{<\/span>       \r\n\t\troot =<\/span> insert<\/span>(<\/span>root,<\/span> key,<\/span> value)<\/span>;<\/span>       \r\n\t\troot.<\/span>color =<\/span> BLACK;<\/span>  \r\n\t}<\/span>   \r\n\r\n\tprivate<\/span> Node insert<\/span>(<\/span>Node h,<\/span> Key key,<\/span> Value value)<\/span>{<\/span>       \r\n\t\tif<\/span> (<\/span>h ==<\/span> null)<\/span> return<\/span> new<\/span> Node<\/span>(<\/span>key,<\/span> value)<\/span>;<\/span>\r\n\t\tif<\/span> (<\/span>isRed<\/span>(<\/span>h.<\/span>left)<\/span> &&<\/span> isRed<\/span>(<\/span>h.<\/span>right)<\/span>)<\/span> colorFlip<\/span>(<\/span>h)<\/span>;<\/span>  \/\/\u8fd9\u4e00\u884c\u5f00\u59cb\t<\/span>\r\n\t\tint<\/span> cmp =<\/span> key.<\/span>compareTo<\/span>(<\/span>h.<\/span>key)<\/span>;<\/span>  \r\n\t\tif<\/span> (<\/span>cmp ==<\/span> 0<\/span>)<\/span> h.<\/span>val =<\/span> value;<\/span>       \r\n\t\telse<\/span> if<\/span> (<\/span>cmp <<\/span> 0<\/span>)<\/span> h.<\/span>left =<\/span>  insert<\/span>(<\/span>h.<\/span>left,<\/span> key,<\/span> value)<\/span>;<\/span>      \r\n\t\telse<\/span> h.<\/span>right =<\/span> insert<\/span>(<\/span>h.<\/span>right,<\/span> key,<\/span> value)<\/span>;<\/span>\r\n\t\tif<\/span> (<\/span>isRed<\/span>(<\/span>h.<\/span>right)<\/span> &&<\/span> !<\/span>isRed<\/span>(<\/span>h.<\/span>left)<\/span>)<\/span> h =<\/span> rotateLeft<\/span>(<\/span>h)<\/span>;<\/span>       \r\n\t\tif<\/span> (<\/span>isRed<\/span>(<\/span>h.<\/span>left)<\/span> &&<\/span> isRed<\/span>(<\/span>h.<\/span>left.<\/span>left)<\/span>)<\/span> h =<\/span>rotateRight<\/span>(<\/span>h)<\/span>;<\/span>  \/\/\u5230\u8fd9\u91cc\u8fd0\u884c\u7ed3\u675f\u65f6\uff0c\u5f97\u52302-3\u6811<\/span>\r\n\t\treturn<\/span> h;<\/span>   \r\n\t}<\/span> \r\n}<\/span> \r\n\r\n<\/code><\/pre>\n
<\/a><\/a><\/a>\u5220\u9664<\/h2>\n
\u5728\u8bb8\u591a\u7b26\u53f7\u8868\u5b9e\u73b0\u4e2d\uff0c\u5220\u9664\u64cd\u4f5c\u7684\u9ad8\u6548\u5b9e\u73b0\u662f\u4e00\u4e2a\u6311\u6218\uff0c\u7ea2\u9ed1\u6811\u4e5f\u4e0d\u4f8b\u5916\uff0c\u5de5\u4e1a\u7ea7\u7684\u5b9e\u73b0\u53ef\u4ee5\u8fd0\u884c\u8d85\u8fc7100\u884c\u4ee3\u7801\u3002\u6559\u79d1\u4e66\u4e00\u822c\u4ee5\u8be6\u7ec6\u7684\u6848\u4f8b\u7814\u7a76\u7684\u65b9\u5f0f\u63cf\u8ff0\u64cd\u4f5c\uff0c\u907f\u514d\u5b8c\u6574\u7684\u5b9e\u73b0<\/p>\n
\u4e0b\u9762\u7684\u4ee3\u7801\u662fLLRB 2-3\u6811\u7684delete()\u5b8c\u6574\u5b9e\u73b0\uff0c\u5b83\u662f\u57fa\u4e8e\u53cd\u5411\u81ea\u9876\u5411\u4e0b\u7684\u65b9\u6cd5\u7528\u4e8e\u63d2\u51652-3-4\u6811\uff1a<\/p>\n
\u6211\u4eec\u8fdb\u884c\u65cb\u8f6c\u548c\u989c\u8272\u7ffb\u8f6c\u5411\u4e0b\u641c\u7d22\u8def\u5f84\uff0c\u4ee5\u786e\u4fdd\u641c\u7d22\u4e0d\u4f1a\u57282\u8282\u70b9\u4e0a\u7ed3\u675f\uff0c\u8fd9\u6837\u6211\u4eec\u5c31\u53ef\u4ee5\u5220\u9664\u5e95\u90e8\u8282\u70b9\uff0c\u6211\u4eec\u4f7f\u7528fixUp()\u65b9\u6cd5\u5171\u4eabinsert()\u4ee3\u7801\u4e2d\u9012\u5f52\u8c03\u7528\u540e\u7684\u989c\u8272\u7ffb\u8f6c\u548c\u65cb\u8f6c\u4ee3\u7801\uff0c\u901a\u8fc7fixUp()\uff0c\u6211\u4eec\u53ef\u4ee5\u5728\u641c\u7d22\u8def\u5f84\u4e0a\u7559\u4e0b\u53f3\u503e\u659c\u7684\u7ea2\u8272\u94fe\u63a5\u548c\u4e0d\u5e73\u8861\u7684\u56db\u4e2a\u8282\u70b9\uff0c\u786e\u4fdd\u8fd9\u4e9b\u95ee\u9898\u5728\u6cbf\u6811\u4e0a\u5347\u7684\u65f6\u5019\u4f1a\u88ab\u4fee\u590d\uff08\u8fd9\u79cd\u65b9\u6cd5\u4e5f\u9002\u7528\u4e8e2-3-4\u6811\uff0c\u4f46\u5982\u679c\u641c\u7d22\u8def\u5f84\u4e0a\u7684\u53f3\u8282\u70b9\u662f4\u8282\u70b9\uff0c\u5219\u9700\u8981\u989d\u5916\u7684\u65cb\u8f6c\u3002\uff09<\/p>\n
\u4f5c\u4e3a\u70ed\u8eab\uff0c\u8003\u8651\u5220\u9664\u6700\u5c0f\u64cd\u4f5c\uff0c\u76ee\u6807\u662f\u5220\u9664\u5de6\u8fb9\u810a\u67f1\uff08left spine\uff09\u7684\u5e95\u90e8\u8282\u70b9\uff0c\u540c\u65f6\u4fdd\u6301\u5e73\u8861\u3002\u4e3a\u6b64\uff0c\u6211\u4eec\u7ef4\u62a4\u5f53\u524d\u8282\u70b9\u6216\u8005\u5176\u5de6\u5b69\u5b50\u7684\u7ea2\u8272\u4e0d\u53d8\u5f0f\uff0c\u6211\u4eec\u53ef\u4ee5\u901a\u8fc7\u5411\u5de6\u79fb\u52a8\uff08move to the left\uff09\u6765\u5b9e\u73b0\uff0c\u9664\u975e\u5f53\u524d\u8282\u70b9\u662f\u7ea2\u8272\u7684\uff0c\u5176\u5de6\u5b69\u5b50\u548c\u5de6\u5b59\u5b50\uff08left grandchild\uff0c\u8fd8\u662f\u53eb\u5de6\u5b69\u5b50\u7684\u5de6\u5b69\u5b50\u5408\u9002\u4e00\u4e9b\uff1f\uff09\u90fd\u662f\u9ed1\u7684\u3002\u5728\u8fd9\u79cd\u60c5\u51b5\u4e0b\u6211\u4eec\u53ef\u4ee5\u505a\u4e00\u4e2a\u989c\u8272\u7ffb\u8f6c\uff0c\u5b83\u53ef\u4ee5\u6062\u590d\u4e0d\u53d8\u91cf\uff0c\u4f46\u53ef\u80fd\u4f1a\u5728\u53f3\u8fb9\u5f15\u5165\u8fde\u7eed\u7684\u7ea2\u8272\u8282\u70b9\uff0c\u5728\u8fd9\u79cd\u60c5\u51b5\u4e0b\uff0c\u6211\u4eec\u53ef\u4ee5\u901a\u8fc7\u4e24\u4e2a\u65cb\u8f6c\u548c\u4e00\u4e2a\u989c\u8272\u7ffb\u8f6c\u6765\u4fee\u6b63\u6761\u4ef6\uff0c\u8fd9\u4e9b\u64cd\u4f5c\u662f\u5728\u4e0b\u9762\u7684moveRedLeft()\u65b9\u6cd5\u4e2d\u5b9e\u73b0\u7684\u3002<\/p>\n
\u4f7f\u7528moveRedLeft()\u4f7f\u5f97deleteMin()\u7684\u9012\u5f52\u5b9e\u73b0\u975e\u5e38\u7b80\u5355\uff0c\u5bf9\u4e8e\u4e00\u822c\u7684\u5220\u9664\uff0c\u6211\u4eec\u8fd8\u9700\u8981moveRedRight()\uff0c\u5b83\u4e0emoveRedLeft()\u7c7b\u4f3c\uff0c\u4f46\u662f\u66f4\u7b80\u5355\uff0c\u5e76\u4e14\u6211\u4eec\u9700\u8981\u5728\u641c\u7d22\u8def\u5f84\u4e0a\u5c06\u5de6\u8fb9\u7684\u7ea2\u8272\u94fe\u63a5\u65cb\u8f6c\u5230\u53f3\u4fa7\u4ee5\u4fdd\u6301\u4e0d\u53d8\u91cf\u3002\u5982\u679c\u8981\u5220\u9664\u7684\u8282\u70b9\u662f\u5185\u90e8\u8282\u70b9\uff0c\u6211\u4eec\u5c06\u5176\u952e\u548c\u503c\u5b57\u6bb5\u66ff\u6362\u4e3a\u5176\u53f3\u5b50\u6811\u4e2d\u7684\u6700\u5c0f\u8282\u70b9\u5b57\u6bb5\uff0c\u7136\u540e\u5220\u9664\u53f3\u5b50\u6811\u4e2d\u6700\u5c0f\u503c\u5b57\u6bb5\uff08\u6216\u8005\u6211\u4eec\u53ef\u4ee5\u91cd\u65b0\u5b89\u6392\u6307\u9488\u6765\u4f7f\u7528\u8282\u70b9\u800c\u4e0d\u662f\u590d\u5236\u5b57\u6bb5\uff09\u3002<\/p>\n
\u5728\u4e0b\u9762\u7ed9\u51fa\u4e86\u672c\u6587\u6240\u8ba8\u8bba\u7684delete()\u7684\u5b8c\u6574\u5b9e\u73b0\uff0c\u5b83\u4f7f\u7528\u7684\u4ee3\u7801\u91cf\u4ec5\u4ec5\u662f\u7ea2\u9ed1\u6811\u5178\u578b\u5b9e\u73b0\u7684\u4e09\u5206\u4e4b\u4e00\u5230\u56db\u5206\u4e4b\u4e00\uff0c\u4f7f\u7528LLRB\u6811\uff0c\u6211\u4eec\u53ef\u4ee5\u8bbe\u8ba1\u51fa\u7b80\u6d01\u7684\u4ee3\u7801\uff0c\u800c\u4e14\u5177\u6709\u5bf9\u6570\u7ea7\u522b\u7684\u6027\u80fd\u4fdd\u8bc1\uff0c\u8fd8\u4e0d\u4f1a\u4f7f\u7528\u989d\u5916\u7684\u7a7a\u95f4<\/p>\n
\u5220\u9664\u5de6\u503e\u7ea2\u9ed1 2-3\u6811\u7684\u6700\u5c0f\u503c\u4ee3\u7801\uff08Delete-the-minimum code for LLRB 2-3 trees\uff09<\/strong><\/p>\n
\r\npublic<\/span> void<\/span> deleteMin<\/span>(<\/span>)<\/span> {<\/span>   \r\n\troot =<\/span> deleteMin<\/span>(<\/span>root)<\/span>;<\/span>  \r\n\troot.<\/span>color =<\/span> BLACK;<\/span>\r\n }<\/span>\r\n\r\nprivate<\/span> Node deleteMin<\/span>(<\/span>Node h)<\/span> {<\/span>   \r\n\tif<\/span> (<\/span>h.<\/span>left ==<\/span> null)<\/span> return<\/span> null;<\/span>\r\n\tif<\/span> (<\/span>!<\/span>isRed<\/span>(<\/span>h.<\/span>left)<\/span> &&<\/span> !<\/span>isRed<\/span>(<\/span>h.<\/span>left.<\/span>left)<\/span>)<\/span>h =<\/span> moveRedLeft<\/span>(<\/span>h)<\/span>;<\/span>\r\n\th.<\/span>left =<\/span> deleteMin<\/span>(<\/span>h.<\/span>left)<\/span>;<\/span>\r\n\treturn<\/span> fixUp<\/span>(<\/span>h)<\/span>;<\/span> \r\n}<\/span> \r\n\r\n<\/code><\/pre>\n
\u4ece\u5de6\u503e\u7ea2\u9ed1 2-3\u6811\u4e2d\u5220\u9664\u8282\u70b9\uff08Delete code for LLRB 2-3 trees\uff09<\/strong><\/p>\n
 private<\/span> Node moveRedLeft<\/span>(<\/span>Node h)<\/span>{<\/span>\r\n\tcolorFlip<\/span>(<\/span>h)<\/span>;<\/span>      \r\n    if<\/span>(<\/span>isRed<\/span>(<\/span>h.<\/span>right.<\/span>left)<\/span>)<\/span>{<\/span> \r\n   \t h.<\/span>right =<\/span>rotateRight<\/span>(<\/span>h.<\/span>right)<\/span>;<\/span>  \r\n   \t h =<\/span>rotateLeft<\/span>(<\/span>h)<\/span>;<\/span>        \r\n   \t colorFlip<\/span>(<\/span>h)<\/span>;<\/span>     \r\n    }<\/span>     \r\nreturn<\/span> h;<\/span>  \r\n}<\/span>\r\n\r\nprivate<\/span> Node moveRedRight<\/span>(<\/span>Node h)<\/span>{<\/span>  \r\n   colorFlip<\/span>(<\/span>h)<\/span>;<\/span>       \r\n   if<\/span> (<\/span>isRed<\/span>(<\/span>h.<\/span>left.<\/span>left)<\/span>)<\/span>{<\/span>   \r\n   \th =<\/span> rotateRight<\/span>(<\/span>h)<\/span>;<\/span>   \r\n   \tcolorFlip<\/span>(<\/span>h)<\/span>;<\/span>     \r\n   }<\/span>      \t\r\n    return<\/span> h;<\/span>  \r\n}<\/span>\r\n\r\n \r\npublic<\/span> void<\/span> delete<\/span>(<\/span>Key key)<\/span>{<\/span> \r\n   root =<\/span> delete<\/span>(<\/span>root,<\/span> key)<\/span>;<\/span> \r\n   root.<\/span>color =<\/span> BLACK;<\/span>   \r\n }<\/span>\r\n\r\nprivate<\/span> Node delete<\/span>(<\/span>Node h,<\/span> Key key)<\/span>{<\/span> \r\n   if<\/span> (<\/span>key.<\/span>compareTo<\/span>(<\/span>h.<\/span>key)<\/span> <<\/span> 0<\/span>)<\/span>{<\/span>             \r\n   \tif<\/span> (<\/span>!<\/span>isRed<\/span>(<\/span>h.<\/span>left)<\/span> &&<\/span> !<\/span>isRed<\/span>(<\/span>h.<\/span>left.<\/span>left)<\/span>)<\/span> h =<\/span> moveRedLeft<\/span>(<\/span>h)<\/span>;<\/span>              \r\n   \th.<\/span>left =<\/span>  delete<\/span>(<\/span>h.<\/span>left,<\/span> key)<\/span>;<\/span>         \r\n   }<\/span> else<\/span> {<\/span>     \r\n   \tif<\/span> (<\/span>isRed<\/span>(<\/span>h.<\/span>left)<\/span>)<\/span> h =<\/span> rotateRight<\/span>(<\/span>h)<\/span>;<\/span> \r\n   \tif<\/span> (<\/span>key.<\/span>compareTo<\/span>(<\/span>h.<\/span>key)<\/span> ==<\/span> 0<\/span> &&<\/span> (<\/span>h.<\/span>right ==<\/span> null)<\/span>)<\/span> return<\/span> null;<\/span>              \r\n   \tif<\/span> (<\/span>!<\/span>isRed<\/span>(<\/span>h.<\/span>right)<\/span> &&<\/span> !<\/span>isRed<\/span>(<\/span>h.<\/span>right.<\/span>left)<\/span>)<\/span> h =<\/span> moveRedRight<\/span>(<\/span>h)<\/span>;<\/span>           \r\n\r\n   if<\/span> (<\/span>key.<\/span>compareTo<\/span>(<\/span>h.<\/span>key)<\/span> ==<\/span> 0<\/span>)<\/span>{<\/span>      \r\n   \th.<\/span>val =<\/span> get<\/span>(<\/span>h.<\/span>right,<\/span> min<\/span>(<\/span>h.<\/span>right)<\/span>.<\/span>key)<\/span>;<\/span>            \r\n   \th.<\/span>key =<\/span> min<\/span>(<\/span>h.<\/span>right)<\/span>.<\/span>key;<\/span>                   \r\n   \th.<\/span>right =<\/span> deleteMin<\/span>(<\/span>h.<\/span>right)<\/span>;<\/span>             \r\n   }<\/span>else<\/span> h.<\/span>right =<\/span> delete<\/span>(<\/span>h.<\/span>right,<\/span> key)<\/span>;<\/span>  \r\n}<\/span>\r\nreturn<\/span> fixUp<\/span>(<\/span>h)<\/span>;<\/span> \r\n}<\/span>\r\n<\/code><\/pre>\n
\u56fe\u793a\uff1a<\/strong><\/p>\n
\"\u5728\u8fd9\u91cc\u63d2\u5165\u56fe\u7247\u63cf\u8ff0\"<\/p>\n<\/div>\n<\/div>\n<\/article>\n","protected":false},"excerpt":{"rendered":"
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