{"id":426,"date":"2019-01-04T15:04:45","date_gmt":"2019-01-04T07:04:45","guid":{"rendered":"https:\/\/kaispace.cn\/?p=426"},"modified":"2019-01-04T15:04:45","modified_gmt":"2019-01-04T07:04:45","slug":"%e6%a0%91%e7%9a%84%e4%ba%8c%e4%b8%89%e4%ba%8b%e4%b8%89","status":"publish","type":"post","link":"https:\/\/blog.kaispace.cn\/?p=426","title":{"rendered":"\u6811\u7684\u4e8c\u4e09\u4e8b(\u4e09)"},"content":{"rendered":"<h1>\u6811\u7684\u4e8c\u4e09\u4e8b(\u4e09)<\/h1>\n<h2>BBST\u5e73\u8861\u4e8c\u53c9\u641c\u7d22\u6811<\/h2>\n<h2>1\u3001AVL\u6811<\/h2>\n<p>AVL\u6811\u662f1962\u5e74G.M. Adelson-Velsky\u53d1\u660e\u7684\uff0c\u662f\u7b2c\u4e00\u4e2aBBST(\u5e73\u8861\u4e8c\u53c9\u641c\u7d22\u6811)\u7b97\u6cd5<\/p>\n<p>\u5176\u7279\u70b9\u5f88\u9c9c\u660e\u7b80\u5355\uff0c\u5c31\u662f <strong>\u4efb\u610f\u8282\u70b9\u7684\u5de6\u53f3\u5b50\u6811\u9ad8\u5ea6\u5dee\u7684\u7edd\u5bf9\u503c\u4e0d\u8d85\u8fc71<\/strong> \uff0c\u5728Insert\u548cRemove\u64cd\u4f5c\u65f6\u5982\u6709\u5fc5\u8981(\u53d1\u751f\u4e0d\u5e73\u8861)\u9700\u8981\u5bf9\u6811\u8fdb\u884c\u91cd\u5e73\u8861\u3002<br \/>\n<a href=\"https:\/\/i.loli.net\/2019\/01\/04\/5c2eee3516d52.png\"><img src=\"https:\/\/i.loli.net\/2019\/01\/04\/5c2eee3516d52.png\" alt=\"AVL.png\" \/><\/a><\/p>\n<p>AVL\u7684\u5e73\u8861\u4e5f\u975e\u5e38\u7b80\u5355\uff0c\u65e0\u975e\u5206\u4e3a\u5355\u65cb\u5e73\u8861\uff0c\u4ee5\u53ca\u53cc\u65cb\u5e73\u8861\u3002<\/p>\n<p>\u4f46\u662fAVL\u7684\u5e73\u8861\u91cd\u6784\u5374\u662fAVL\u6811\u7684\u4e00\u4e2a\u5f88\u5927\u95ee\u9898\uff0c\u5176Insert\u7b97\u6cd5\u53ef\u4ee5\u5728 <strong>O(1)<\/strong> \u590d\u6742\u5ea6\u5b9e\u73b0\uff0c\u4f46\u662fRemove\u7b97\u6cd5\u53ef\u80fd\u8fbe\u5230o(logn)\uff0c\u5728\u4e00\u6b21\u52a8\u6001\u64cd\u4f5c\u540e\uff0c\u5168\u6811\u62d3\u6251\u7ed3\u6784\u53d8\u5316\u91cf\u53ef\u80fd\u8fbe\u5230 <strong>O(logn)<\/strong><\/p>\n<p>\u8fd9\u91cc\u5f15\u5165\u4e00\u4e2a3+4\u91cd\u6784\u7b97\u6cd5\uff0c3+4\u91cd\u6784\u7b97\u6cd5\u662f\u7528\u4e8e\u5c06\u6811\u8fdb\u884c\u65cb\u8f6c\u7684\u4e00\u79cd\u7b97\u6cd5\uff0c\u4ece\u7834\u800c\u540e\u7acb\u7684\u601d\u60f3\uff0c\u4ece\u76ee\u7684\u5165\u624b\u3002<br \/>\n<a href=\"https:\/\/i.loli.net\/2019\/01\/04\/5c2eef4c0f574.png\"><img src=\"https:\/\/i.loli.net\/2019\/01\/04\/5c2eef4c0f574.png\" alt=\"34.png\" 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href=\"https:\/\/www.bilibili.com\/video\/av22774520\/?p=241\">3+4\u91cd\u6784\u7b97\u6cd5\u89c6\u9891<\/a><\/p>\n<h2>2\u3001B-\u6811<\/h2>\n<p>B-\u6811\u6709\u8bb8\u591a\u7684\u53d8\u79cd\uff0c\u8fd9\u91cc\u8bf4\u7684\u662f\u6700\u57fa\u7840\u7684B-\u6811\uff0cB-\u6811\u7684\u8bbe\u8ba1\u521d\u8877\u662f\u9002\u7528\u4e8e\u6587\u4ef6\u641c\u7d22\u4e2d\uff0c\u56e0\u4e3a\u5728\u8ba1\u7b97\u673a\u7cfb\u7edf\u4e2d\uff0c\u5f80\u5f80\u5236\u7ea6\u8ba1\u7b97\u8fc7\u7a0b\u7684\u4e0d\u662f\u8ba1\u7b97\u6027\u80fd\uff0c\u800c\u662fIO\u6027\u80fd\uff0c\u56e0\u6b64\u5982\u4f55\u51cf\u5c11\u7684IO\u6b21\u6570\u5c31\u662fB-\u6811\u7684\u8bbe\u8ba1\u7406\u5ff5\u3002<\/p>\n<p><img src=\"https:\/\/i.loli.net\/2019\/01\/08\/5c34595aeb505.gif\" alt=\"btreebuild.gif\" title=\"btreebuild.gif\" 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href=\"https:\/\/www.bilibili.com\/video\/av22774520\/?p=266\">B\u6811\u89c6\u9891<\/a><\/p>\n<h2>3\u3001\u7ea2\u9ed1\u6811<\/h2>\n<p>\u7ea2\u9ed1\u6811\u662f\u4e3a\u4e86\u89e3\u51b3AVL\u6811\u5e73\u8861\u7684\u590d\u6742\u5ea6\u592a\u9ad8\u7684\u95ee\u9898\uff0c\u5b9e\u73b0O(1)\u7684\u91cd\u6784\u6548\u7387<\/p>\n<h4>\u7ea2\u9ed1\u6811\u7684\u6784\u5efa\u89c4\u5219\u4e3a<\/h4>\n<ol>\n<li>\u6839\u8282\u70b9\u4e3a\u9ed1\u8272<\/li>\n<li>\u5916\u90e8\u8282\u70b9\u5747\u4e3a\u9ed1\u8272(\u5916\u90e8\u8282\u70b9\u4e3a\u539f\u53f6\u8282\u70b9\u7a7a\u7740\u7684\u5b50\u8282\u70b9\u6240\u6dfb\u52a0\u4e0a\u53bb\u7684\u4e0d\u5b58\u5728\u7684NULL\u8282\u70b9)<\/li>\n<li>\u82e5\u4e3a\u5185\u90e8\u8282\u70b9\uff0c\u5219\u7ea2\u8272\u8282\u70b9\u7684\u5b50\u8282\u70b9\u53ea\u80fd\u662f\u9ed1\u8272<\/li>\n<li>\u5916\u90e8\u8282\u70b9\u5230\u8fbe\u6839: \u9014\u4e2d\u7684\u9ed1\u8272\u7ed3\u70b9\u4e2a\u6570\u76f8\u7b49<\/li>\n<\/ol>\n<p>\u7ea2\u9ed1\u6811 <strong>\u63d2\u5165<\/strong> \u4e00\u4e2a\u8282\u70b9\u4f1a <strong>\u5c06\u5176\u67d3\u7ea2<\/strong> \u56e0\u6b64\u5f88\u6709\u53ef\u80fd\u53d1\u751f\u53cc\u7ea2\u7f3a\u9677(<strong>\u8fdd\u53cd\u89c4\u52193<\/strong>)\uff0c\u76f8\u53cd\u5220\u9664\u4e00\u4e2a\u8282\u70b9\u5219\u5f88\u5bb9\u6613\u53d1\u751f\u53cc\u9ed1\u7f3a\u9677\uff0c\u56e0\u4e3a\u5220\u9664\u4e86\u53ef\u80fd\u662f\u4e00\u4e2a\u9ed1\u8272\u8282\u70b9\uff0c\u5bfc\u81f4 <strong>\u8fdd\u53cd\u89c4\u52194<\/strong><\/p>\n<h4>\u7ea2\u9ed1\u6811\u4e0eB\u6811\u7684\u5173\u7cfb\uff0c\u4e24\u4e2a\u7ea2\u8282\u70b9\u4e0a\u79fb\u540e\u4e0d\u80fd\u76f8\u90bb\uff0c\u5426\u5219\u53d1\u751f\u53cc\u7ea2\u7f3a\u9677<\/h4>\n<p><a href=\"https:\/\/i.loli.net\/2019\/01\/04\/5c2ef822a39f5.png\"><img src=\"https:\/\/i.loli.net\/2019\/01\/04\/5c2ef822a39f5.png\" alt=\"\u7ea2\u9ed1\u6811\u4e0eB\u6811\u7684\u5173\u7cfb\" 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alt=\"RRCon2.png\" \/><\/a><\/p>\n<\/li>\n<\/ol>\n<h4>\u53cc\u9ed1\u7f3a\u9677 X\u4f1a\u88ab\u5220\u9664<\/h4>\n<ol>\n<li>BB1 3+4\u91cd\u6784+\u67d3\u8272<br \/>\n<a href=\"https:\/\/i.loli.net\/2019\/01\/04\/5c2f023f52a95.png\"><img src=\"https:\/\/i.loli.net\/2019\/01\/04\/5c2f023f52a95.png\" alt=\"BB1.png\" \/><\/a><\/li>\n<li>BB2R \u67d3\u8272(\u9690\u542b\u7684B\u6811\u4e0b\u6ea2)<br \/>\n<a href=\"https:\/\/i.loli.net\/2019\/01\/04\/5c2f037ebc410.png\"><img src=\"https:\/\/i.loli.net\/2019\/01\/04\/5c2f037ebc410.png\" alt=\"BB2R.png\" \/><\/a><\/li>\n<li>BB2B \u67d3\u8272(\u9690\u542b\u7684B\u6811\u4e0b\u6ea2,\u4e14\u53ef\u80fd\u53d1\u751f\u6301\u7eed\u4e0b\u6ea2)<br \/>\n<a href=\"https:\/\/i.loli.net\/2019\/01\/04\/5c2f040d7500d.png\"><img src=\"https:\/\/i.loli.net\/2019\/01\/04\/5c2f040d7500d.png\" alt=\"BB2B.png\" \/><\/a><\/li>\n<li>BB3 \u65cb\u8f6c\u67d3\u8272\uff0c\u8fdb\u800c\u8f6c\u81f3BB1\u6216\u8005BB2R\u7684\u60c5\u51b5<br \/>\n<a href=\"https:\/\/i.loli.net\/2019\/01\/04\/5c2f04a1dc0cb.png\"><img src=\"https:\/\/i.loli.net\/2019\/01\/04\/5c2f04a1dc0cb.png\" alt=\"BB3.png\" \/><\/a><\/li>\n<\/ol>\n<h4>\u8fd9\u91cc\u7ed9\u51fa\u53cc\u9ed1\u7f3a\u9677\u5404\u79cd\u60c5\u51b5\u7684\u590d\u6742\u5ea6\uff0c\u53ef\u4ee5\u770b\u51fa\u65e0\u8bba\u65cb\u8f6c\u6216\u8005\u67d3\u8272\u90fd\u80fd\u5728O(1)\u65f6\u95f4\u5185\u6ee1\u8db3\uff0c\u89e3\u51b3\u4e86AVL\u7684\u7f3a\u9677<\/h4>\n<p><a href=\"https:\/\/i.loli.net\/2019\/01\/04\/5c2ef4ed238a5.png\"><img src=\"https:\/\/i.loli.net\/2019\/01\/04\/5c2ef4ed238a5.png\" alt=\"br.png\" \/><\/a><\/p>\n","protected":false},"excerpt":{"rendered":"<p>\u6811\u7684\u4e8c\u4e09\u4e8b(\u4e09) BBST\u5e73\u8861\u4e8c\u53c9\u641c\u7d22\u6811 1\u3001AVL\u6811 AVL\u6811\u662f1962\u5e74G.M. Adelson-Vels&#8230;<\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":[],"categories":[10],"tags":[],"_links":{"self":[{"href":"https:\/\/blog.kaispace.cn\/index.php?rest_route=\/wp\/v2\/posts\/426"}],"collection":[{"href":"https:\/\/blog.kaispace.cn\/index.php?rest_route=\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/blog.kaispace.cn\/index.php?rest_route=\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/blog.kaispace.cn\/index.php?rest_route=\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/blog.kaispace.cn\/index.php?rest_route=%2Fwp%2Fv2%2Fcomments&post=426"}],"version-history":[{"count":0,"href":"https:\/\/blog.kaispace.cn\/index.php?rest_route=\/wp\/v2\/posts\/426\/revisions"}],"wp:attachment":[{"href":"https:\/\/blog.kaispace.cn\/index.php?rest_route=%2Fwp%2Fv2%2Fmedia&parent=426"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/blog.kaispace.cn\/index.php?rest_route=%2Fwp%2Fv2%2Fcategories&post=426"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/blog.kaispace.cn\/index.php?rest_route=%2Fwp%2Fv2%2Ftags&post=426"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}