“`” \u53c2\u8003\u56de\u7b54\uff1a<\/p>\n
\u53c2\u8003\u56de\u7b54\uff1a<\/p>\n
\u8003\u5bdf\u70b9\uff1a\u7b97\u6cd5<\/p>\n
\u516c\u53f8\uff1a\u4eac\u4e1c\uff0c\u963f\u91cc\u5df4\u5df4<\/p>\n
1\uff09\u5e73\u8861\u4e8c\u53c9\u6811\uff08AVL\u6811\uff09\uff1a<\/p>\n
\u7ea2\u9ed1\u6811\u662f\u5728AVL\u6811\u7684\u57fa\u7840\u4e0a\u63d0\u51fa\u6765\u7684\u3002<\/p>\n
\u5e73\u8861\u4e8c\u53c9\u6811\u53c8\u79f0\u4e3aAVL\u6811\uff0c\u662f\u4e00\u79cd\u7279\u6b8a\u7684\u4e8c\u53c9\u6392\u5e8f\u6811\u3002\u5176\u5de6\u53f3\u5b50\u6811\u90fd\u662f\u5e73\u8861\u4e8c\u53c9\u6811\uff0c\u4e14\u5de6\u53f3\u5b50\u6811\u9ad8\u5ea6\u4e4b\u5dee\u7684\u7edd\u5bf9\u503c\u4e0d\u8d85\u8fc71\u3002<\/p>\n
AVL\u6811\u4e2d\u6240\u6709\u7ed3\u70b9\u4e3a\u6839\u7684\u6811\u7684\u5de6\u53f3\u5b50\u6811\u9ad8\u5ea6\u4e4b\u5dee\u7684\u7edd\u5bf9\u503c\u4e0d\u8d85\u8fc71\u3002<\/p>\n
\u5c06\u4e8c\u53c9\u6811\u4e0a\u7ed3\u70b9\u7684\u5de6\u5b50\u6811\u6df1\u5ea6\u51cf\u53bb\u53f3\u5b50\u6811\u6df1\u5ea6\u7684\u503c\u79f0\u4e3a\u5e73\u8861\u56e0\u5b50BF\uff0c\u90a3\u4e48\u5e73\u8861\u4e8c\u53c9\u6811\u4e0a\u7684\u6240\u6709\u7ed3\u70b9\u7684\u5e73\u8861\u56e0\u5b50\u53ea\u53ef\u80fd\u662f-1\u30010\u548c1\u3002\u53ea\u8981\u4e8c\u53c9\u6811\u4e0a\u6709\u4e00\u4e2a\u7ed3\u70b9\u7684\u5e73\u8861\u56e0\u5b50\u7684\u7edd\u5bf9\u503c\u5927\u4e8e1\uff0c\u5219\u8be5\u4e8c\u53c9\u6811\u5c31\u662f\u4e0d\u5e73\u8861\u7684\u3002<\/p>\n
2\uff09\u7ea2\u9ed1\u6811\uff1a<\/p>\n
\u7ea2\u9ed1\u6811\u662f\u5728AVL\u6811\u7684\u57fa\u7840\u4e0a\u53d1\u5c55\u800c\u6765\u7684\u3002\u7ea2\u9ed1\u6811\u662f\u4e00\u79cd\u4e8c\u53c9\u67e5\u627e\u6811\uff0c\u4f46\u5728\u6bcf\u4e2a\u8282\u70b9\u589e\u52a0\u4e00\u4e2a\u5b58\u50a8\u4f4d\u8868\u793a\u8282\u70b9\u7684\u989c\u8272\uff0c\u53ef\u4ee5\u662f\u7ea2\u6216\u9ed1\uff08\u975e\u7ea2\u5373\u9ed1\uff09\u3002\u901a\u8fc7\u5bf9\u4efb\u4f55\u4e00\u6761\u4ece\u6839\u5230\u53f6\u5b50\u7684\u8def\u5f84\u4e0a\u5404\u4e2a\u8282\u70b9\u7740\u8272\u7684\u65b9\u5f0f\u7684\u9650\u5236\uff0c\u7ea2\u9ed1\u6811\u786e\u4fdd\u6ca1\u6709\u4e00\u6761\u8def\u5f84\u4f1a\u6bd4\u5176\u5b83\u8def\u5f84\u957f\u51fa\u4e24\u500d\uff0c\u56e0\u6b64\uff0c\u7ea2\u9ed1\u6811\u662f\u4e00\u79cd\u5f31\u5e73\u8861\u4e8c\u53c9\u6811\uff0c\u76f8\u5bf9\u4e8e\u8981\u6c42\u4e25\u683c\u7684AVL\u6811\u6765\u8bf4\uff0c\u5b83\u7684\u65cb\u8f6c\u6b21\u6570\u5c11\uff0c\u6240\u4ee5\u5bf9\u4e8e\u641c\u7d22\uff0c\u63d2\u5165\uff0c\u5220\u9664\u64cd\u4f5c\u8f83\u591a\u7684\u60c5\u51b5\u4e0b\uff0c\u901a\u5e38\u4f7f\u7528\u7ea2\u9ed1\u6811\u3002<\/p>\n
\u6027\u8d28\uff1a<\/p>\n
\\1. \u6bcf\u4e2a\u8282\u70b9\u975e\u7ea2\u5373\u9ed1<\/p>\n
\\2. \u6839\u8282\u70b9\u662f\u9ed1\u7684;<\/p>\n
\\3. \u6bcf\u4e2a\u53f6\u8282\u70b9\uff08\u53f6\u8282\u70b9\u5373\u6811\u5c3e\u7aefNULL\u6307\u9488\u6216NULL\u8282\u70b9\uff09\u90fd\u662f\u9ed1\u7684;<\/p>\n
\\4. \u5982\u679c\u4e00\u4e2a\u8282\u70b9\u662f\u7ea2\u8272\u7684\uff0c\u5219\u5b83\u7684\u5b50\u8282\u70b9\u5fc5\u987b\u662f\u9ed1\u8272\u7684\u3002<\/p>\n
\\5. \u5bf9\u4e8e\u4efb\u610f\u8282\u70b9\u800c\u8a00\uff0c\u5176\u5230\u53f6\u5b50\u70b9\u6811NULL\u6307\u9488\u7684\u6bcf\u6761\u8def\u5f84\u90fd\u5305\u542b\u76f8\u540c\u6570\u76ee\u7684\u9ed1\u8282\u70b9;<\/p>\n
\u4ece\u6839\u5230\u53f6\u5b50\u7684\u6700\u957f\u7684\u53ef\u80fd\u8def\u5f84\u4e0d\u591a\u4e8e\u6700\u77ed\u7684\u53ef\u80fd\u8def\u5f84\u7684\u4e24\u500d\u957f\u3002\u5b83\u53ef\u4ee5\u5728O(log n)\u65f6\u95f4\u5185\u505a\u67e5\u627e\uff0c\u63d2\u5165\u548c\u5220\u9664\uff0c\u8fd9\u91cc\u7684n \u662f\u6811\u4e2d\u5143\u7d20\u7684\u6570\u76ee\u3002\u6062\u590d\u7ea2\u9ed1\u5c5e\u6027\u9700\u8981\u5c11\u91cf(O(log n))\u7684\u989c\u8272\u53d8\u66f4(\u8fd9\u5728\u5b9e\u8df5\u4e2d\u662f\u975e\u5e38\u5feb\u901f\u7684)\u5e76\u4e14\u4e0d\u8d85\u8fc7\u4e09\u6b21\u6811\u65cb\u8f6c(\u5bf9\u4e8e\u63d2\u5165\u662f\u4e24\u6b21)\u3002\u8fd9\u5141\u8bb8\u63d2\u5165\u548c\u5220\u9664\u4fdd\u6301\u4e3a O(log n) \u6b21\uff0c<\/p>\n
<img alt=""img"" referrerpolicy=""no-referrer"" src=""https:\/\/uploadfiles.nowcoder.com\/images\/20190315\/308571_1552656203034_7D91838E6EBEB8036D6138A019A0AF1A""><\/p>\n
3\uff09\u7ea2\u9ed1\u6811\u8f83AVL\u6811\u7684\u4f18\u70b9\uff1a<\/p>\n
AVL \u6811\u662f\u9ad8\u5ea6\u5e73\u8861\u7684\uff0c\u9891\u7e41\u7684\u63d2\u5165\u548c\u5220\u9664\uff0c\u4f1a\u5f15\u8d77\u9891\u7e41\u7684rebalance\uff0c\u5bfc\u81f4\u6548\u7387\u4e0b\u964d\uff1b\u7ea2\u9ed1\u6811\u4e0d\u662f\u9ad8\u5ea6\u5e73\u8861\u7684\uff0c\u7b97\u662f\u4e00\u79cd\u6298\u4e2d\uff0c\u63d2\u5165\u6700\u591a\u4e24\u6b21\u65cb\u8f6c\uff0c\u5220\u9664\u6700\u591a\u4e09\u6b21\u65cb\u8f6c\u3002<\/p>\n
\u6240\u4ee5\u7ea2\u9ed1\u6811\u5728\u67e5\u627e\uff0c\u63d2\u5165\u5220\u9664\u7684\u6027\u80fd\u90fd\u662fO(logn)\uff0c\u4e14\u6027\u80fd\u7a33\u5b9a\uff0c\u6240\u4ee5STL\u91cc\u9762\u5f88\u591a\u7ed3\u6784\u5305\u62ecmap\u5e95\u5c42\u5b9e\u73b0\u90fd\u662f\u4f7f\u7528\u7684\u7ea2\u9ed1\u6811\u3002<\/p>\n
4\uff09\u7ea2\u9ed1\u6811\u65cb\u8f6c\uff1a<\/p>\n
\u65cb\u8f6c\uff1a\u7ea2\u9ed1\u6811\u7684\u65cb\u8f6c\u662f\u4e00\u79cd\u80fd\u4fdd\u6301\u4e8c\u53c9\u641c\u7d22\u6811\u6027\u8d28\u7684\u641c\u7d22\u6811\u5c40\u90e8\u64cd\u4f5c\u3002\u6709\u5de6\u65cb\u548c\u53f3\u65cb\u4e24\u79cd\u65cb\u8f6c\uff0c\u901a\u8fc7\u6539\u53d8\u6811\u4e2d\u67d0\u4e9b\u7ed3\u70b9\u7684\u989c\u8272\u4ee5\u53ca\u6307\u9488\u7ed3\u6784\u6765\u4fdd\u6301\u5bf9\u7ea2\u9ed1\u6811\u8fdb\u884c\u63d2\u5165\u548c\u5220\u9664\u64cd\u4f5c\u540e\u7684\u7ea2\u9ed1\u6027\u8d28\u3002<\/p>\n
\u5de6\u65cb\uff1a\u5bf9\u67d0\u4e2a\u7ed3\u70b9x\u505a\u5de6\u65cb\u64cd\u4f5c\u65f6\uff0c\u5047\u8bbe\u5176\u53f3\u5b69\u5b50\u4e3ay\u800c\u4e0d\u662fT.nil\uff1a\u4ee5x\u5230y\u7684\u94fe\u4e3a\u201c\u652f\u8f74\u201d\u8fdb\u884c\u3002\u4f7fy\u6210\u4e3a\u8be5\u5b50\u6811\u65b0\u7684\u6839\u7ed3\u70b9\uff0cx\u6210\u4e3ay\u7684\u5de6\u5b69\u5b50\uff0cy\u7684\u5de6\u5b69\u5b50\u6210\u4e3ax\u7684\u53f3\u5b69\u5b50\u3002<img alt=""img"" referrerpolicy=""no-referrer"" src=""https:\/\/uploadfiles.nowcoder.com\/images\/20190315\/308571_1552656212115_1587159E7ADB036880D502D2927B9597""><\/p>\n
\u53f3\u65cb\uff1a\u5bf9\u67d0\u4e2a\u7ed3\u70b9x\u505a\u53f3\u65cb\u64cd\u4f5c\u65f6\uff0c\u5047\u8bbe\u5176\u5de6\u5b69\u5b50\u4e3ay\u800c\u4e0d\u662fT.nil\uff1a\u4ee5x\u5230y\u7684\u94fe\u4e3a\u201c\u652f\u8f74\u201d\u8fdb\u884c\u3002\u4f7fy\u6210\u4e3a\u8be5\u5b50\u6811\u65b0\u7684\u6839\u7ed3\u70b9\uff0cx\u6210\u4e3ay\u7684\u53f3\u5b69\u5b50\uff0cy\u7684\u53f3\u5b69\u5b50\u6210\u4e3ax\u7684\u5de6\u5b69\u5b50\u3002<img alt=""img"" referrerpolicy=""no-referrer"" src=""https:\/\/uploadfiles.nowcoder.com\/images\/20190315\/308571_1552656223637_991B891FAD560CB072639E0791F9CBB7""><\/p>\n
<pre><code> "“`
\n<\/code><\/pre>\n","protected":false},"excerpt":{"rendered":"
“`” \u53c2\u8003\u56de\u7b54\uff1a \u53c2\u8003\u56de\u7b54\uff1a \u8003\u5bdf\u70b9\uff1a\u7b97\u6cd5 \u516c\u53f8\uff1a\u4eac\u4e1c\uff0c\u963f\u91cc\u5df4\u5df4 1\uff09\u5e73\u8861\u4e8c\u53c9\u6811\uff08A […]<\/p>\n","protected":false},"author":7,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[101],"tags":[],"class_list":["post-45378","post","type-post","status-publish","format-standard","hentry","category-c"],"_links":{"self":[{"href":"http:\/\/wx.kaifamiao.info\/index.php\/wp-json\/wp\/v2\/posts\/45378","targetHints":{"allow":["GET"]}}],"collection":[{"href":"http:\/\/wx.kaifamiao.info\/index.php\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"http:\/\/wx.kaifamiao.info\/index.php\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"http:\/\/wx.kaifamiao.info\/index.php\/wp-json\/wp\/v2\/users\/7"}],"replies":[{"embeddable":true,"href":"http:\/\/wx.kaifamiao.info\/index.php\/wp-json\/wp\/v2\/comments?post=45378"}],"version-history":[{"count":1,"href":"http:\/\/wx.kaifamiao.info\/index.php\/wp-json\/wp\/v2\/posts\/45378\/revisions"}],"predecessor-version":[{"id":45379,"href":"http:\/\/wx.kaifamiao.info\/index.php\/wp-json\/wp\/v2\/posts\/45378\/revisions\/45379"}],"wp:attachment":[{"href":"http:\/\/wx.kaifamiao.info\/index.php\/wp-json\/wp\/v2\/media?parent=45378"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"http:\/\/wx.kaifamiao.info\/index.php\/wp-json\/wp\/v2\/categories?post=45378"},{"taxonomy":"post_tag","embeddable":true,"href":"http:\/\/wx.kaifamiao.info\/index.php\/wp-json\/wp\/v2\/tags?post=45378"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}