{"id":72430,"date":"2026-02-05T15:25:29","date_gmt":"2026-02-05T07:25:29","guid":{"rendered":"https:\/\/www.wsisp.com\/helps\/72430.html"},"modified":"2026-02-05T15:25:29","modified_gmt":"2026-02-05T07:25:29","slug":"94-%e4%ba%8c%e5%8f%89%e6%a0%91%e7%9a%84%e4%b8%ad%e5%ba%8f%e9%81%8d%e5%8e%86","status":"publish","type":"post","link":"https:\/\/www.wsisp.com\/helps\/72430.html","title":{"rendered":"94. \u4e8c\u53c9\u6811\u7684\u4e2d\u5e8f\u904d\u5386"},"content":{"rendered":"<p id=\"u26b2211c\">94. \u4e8c\u53c9\u6811\u7684\u4e2d\u5e8f\u904d\u5386<\/p>\n<p id=\"u07f22046\">\u7b80\u5355<\/p>\n<p id=\"u5261302b\">\u7ed9\u5b9a\u4e00\u4e2a\u4e8c\u53c9\u6811\u7684\u6839\u8282\u70b9 root &#xff0c;\u8fd4\u56de \u5b83\u7684 \u4e2d\u5e8f \u904d\u5386 \u3002<\/p>\n<p id=\"u9f5d503f\">\n<p id=\"ub3ab3250\">\u793a\u4f8b 1&#xff1a;<\/p>\n<p id=\"u704124b9\">\n<p class=\"img-center\"><img loading=\"lazy\" decoding=\"async\" alt=\"\" height=\"324\" id=\"uf5801d4c\" src=\"https:\/\/www.wsisp.com\/helps\/wp-content\/uploads\/2026\/02\/20260205072528-698445e836221.jpg\" width=\"202\" \/><\/p>\n<p>\u8f93\u5165&#xff1a;root &#061; [1,null,2,3]<br \/>\n\u8f93\u51fa&#xff1a;[1,3,2] <\/p>\n<p id=\"u0fc25217\">\u793a\u4f8b 2&#xff1a;<\/p>\n<p>\u8f93\u5165&#xff1a;root &#061; []<br \/>\n\u8f93\u51fa&#xff1a;[] <\/p>\n<p id=\"ua1065700\">\u793a\u4f8b 3&#xff1a;<\/p>\n<p>\u8f93\u5165&#xff1a;root &#061; [1]<br \/>\n\u8f93\u51fa&#xff1a;[1] <\/p>\n<p id=\"u7ff77c62\">\n<p id=\"ueeb96cb0\">\u63d0\u793a&#xff1a;<\/p>\n<ul>\n<li id=\"ud2981b99\">\u6811\u4e2d\u8282\u70b9\u6570\u76ee\u5728\u8303\u56f4 [0, 100] \u5185<\/li>\n<li id=\"u25420919\">-100 &lt;&#061; Node.val &lt;&#061; 100<\/li>\n<\/ul>\n<p id=\"uf9882bb9\">\n<p id=\"udec1babb\">\u8fdb\u9636: \u9012\u5f52\u7b97\u6cd5\u5f88\u7b80\u5355&#xff0c;\u4f60\u53ef\u4ee5\u901a\u8fc7\u8fed\u4ee3\u7b97\u6cd5\u5b8c\u6210\u5417&#xff1f;<\/p>\n<p id=\"ue34b034b\">\u8fd9\u662f\u4e3a\u60a8\u5b9a\u5236\u7684 \u4e8c\u53c9\u6811\u7684\u4e2d\u5e8f\u904d\u5386 (\u9012\u5f52\u6cd5 \/ DFS) \u590d\u4e60\u7b14\u8bb0\u3002<\/p>\n<p id=\"ua2c42a0d\">\u6b22\u8fce\u6b63\u5f0f\u8fdb\u5165 \u4e8c\u53c9\u6811 (Binary Tree) \u7684\u4e16\u754c&#xff01; \u8fd9\u4efd\u4ee3\u7801\u662f\u4e8c\u53c9\u6811\u904d\u5386\u7684 \u201c\u6bcd\u9898\u201d\u3002\u867d\u7136\u9012\u5f52\u5199\u6cd5\u53ea\u6709\u5be5\u5be5\u51e0\u884c&#xff0c;\u4f46\u5b83\u662f\u7406\u89e3 DFS (\u6df1\u5ea6\u4f18\u5148\u641c\u7d22) \u7684\u57fa\u77f3\u3002\u60a8\u6ce8\u91ca\u91cc\u63d0\u5230\u7684\u201c\u4ee3\u7801\u79fb\u5230\u524d\u9762\/\u540e\u9762\u5c31\u662f\u524d\/\u540e\u5e8f\u201d&#xff0c;\u4e00\u8bed\u9053\u7834\u4e86 DFS \u7684\u5929\u673a\u3002<\/p>\n<hr id=\"mN7pX\" \/>\n<h4 id=\"d81da216\">&#x1f4dd; \u6838\u5fc3\u7b14\u8bb0&#xff1a;\u4e8c\u53c9\u6811\u7684\u4e2d\u5e8f\u904d\u5386 (Inorder Traversal)<\/h4>\n<h5 id=\"RdQuh\">1. \u6838\u5fc3\u601d\u60f3 (\u4e00\u53e5\u8bdd\u603b\u7ed3)<\/h5>\n<p id=\"u46829013\">\u201c\u5de6 -&gt; \u4e2d -&gt; \u53f3&#xff1a;\u5148\u4e00\u8def\u8d70\u5230\u6700\u5de6\u4e0b\u89d2&#xff0c;\u6253\u5370\u51fa\u6765&#xff0c;\u9000\u56de\u4e00\u6b65\u6253\u5370\u4e2d\u95f4&#xff0c;\u518d\u53bb\u53f3\u8fb9\u8f6c\u8f6c\u3002\u201d<\/p>\n<ul>\n<li id=\"ue4c3c977\">\u524d\u5e8f (Pre-order)&#xff1a;\u6839 -&gt; \u5de6 -&gt; \u53f3 (\u5148\u529e\u4e8b&#xff0c;\u518d\u8dd1\u817f)<\/li>\n<li id=\"ufb37280d\">\u4e2d\u5e8f (In-order)&#xff1a;\u5de6 -&gt; \u6839 -&gt; \u53f3 (\u5148\u8dd1\u5230\u5e95&#xff0c;\u56de\u6765\u529e\u4e8b&#xff0c;\u518d\u7ee7\u7eed\u8dd1)<\/li>\n<li id=\"u5910a289\">\u540e\u5e8f (Post-order)&#xff1a;\u5de6 -&gt; \u53f3 -&gt; \u6839 (\u6700\u540e\u529e\u4e8b)<\/li>\n<\/ul>\n<h5 id=\"032e6b53\">2. \u6838\u5fc3\u7279\u6027 (BST \u7684\u79d8\u5bc6)<\/h5>\n<p id=\"u0b58201b\">\u4e2d\u5e8f\u904d\u5386\u6709\u4e00\u4e2a \u4ef7\u503c\u8fde\u57ce\u7684\u7279\u6027&#xff0c;\u8bf7\u52a1\u5fc5\u523b\u5728\u8111\u6d77\u91cc&#xff1a;<\/p>\n<p id=\"u8b071a00\">\u5982\u679c\u662f \u4e8c\u53c9\u641c\u7d22\u6811 (BST)&#xff0c;\u4e2d\u5e8f\u904d\u5386\u7684\u7ed3\u679c\u662f\u4e00\u4e2a \u5347\u5e8f\u6570\u7ec4\u3002 \u5f88\u591a\u9a8c\u8bc1 BST\u3001\u627e BST \u7b2c K \u5c0f\u5143\u7d20\u7684\u9898\u76ee&#xff0c;\u672c\u8d28\u4e0a\u5c31\u662f\u8003\u4e2d\u5e8f\u904d\u5386\u3002<\/p>\n<h5 id=\"6c82d68f\">3. \u7b97\u6cd5\u6d41\u7a0b (\u9012\u5f52\u89c6\u89d2)<\/h5>\n<li id=\"u79d401ea\">\u7ec8\u6b62\u6761\u4ef6&#xff1a;node &#061;&#061; null&#xff0c;\u6ca1\u8def\u4e86&#xff0c;\u8fd4\u56de\u3002<\/li>\n<li id=\"u47743c4f\">\u9012\u5f52\u5de6\u5b50\u6811&#xff1a;dfs(node.left)\u3002\u76f8\u4fe1\u8fd9\u4e2a\u51fd\u6570\u80fd\u628a\u5de6\u8fb9\u5168\u641e\u5b9a\u3002<\/li>\n<li id=\"uafccb52e\">\u5904\u7406\u5f53\u524d\u8282\u70b9&#xff1a;ans.add(node.val)\u3002<\/li>\n<li id=\"u1d7236c0\">\u9012\u5f52\u53f3\u5b50\u6811&#xff1a;dfs(node.right)\u3002\u76f8\u4fe1\u8fd9\u4e2a\u51fd\u6570\u80fd\u628a\u53f3\u8fb9\u5168\u641e\u5b9a\u3002<\/li>\n<h5 id=\"xhXOQ\">&#x1f50d; \u4ee3\u7801\u56de\u5fc6\u6e05\u5355<\/h5>\n<p>\/\/ \u9898\u76ee&#xff1a;LC 94. Binary Tree Inorder Traversal<br \/>\nclass Solution {<br \/>\n    public List&lt;Integer&gt; inorderTraversal(TreeNode root) {<br \/>\n        List&lt;Integer&gt; ans &#061; new ArrayList&lt;&gt;();<br \/>\n        dfs(ans, root);<br \/>\n        return ans;<br \/>\n    }<\/p>\n<p>    private void dfs(List&lt;Integer&gt; ans, TreeNode node) {<br \/>\n        \/\/ 1. Base Case: \u649e\u5899\u56de\u5934<br \/>\n        if (node &#061;&#061; null) {<br \/>\n            return;<br \/>\n        }<\/p>\n<p>        \/\/ 2. \u9012\u5f52\u53bb\u5de6\u8fb9 (L)<br \/>\n        dfs(ans, node.left);  <\/p>\n<p>        \/\/ 3. \u5904\u7406\u4e2d\u95f4 (Root) &#8211; \u4e2d\u5e8f\u7684\u4f4d\u7f6e<br \/>\n        ans.add(node.val);    <\/p>\n<p>        \/\/ 4. \u9012\u5f52\u53bb\u53f3\u8fb9 (R)<br \/>\n        dfs(ans, node.right);<br \/>\n    }<br \/>\n} <\/p>\n<h5 id=\"6a20ced1\">\u26a0\ufe0f \u9762\u8bd5\u9ad8\u9891\u6269\u5c55 (Iterative \/ \u8fed\u4ee3\u6cd5)<\/h5>\n<p id=\"uaa7adf50\">\u9762\u8bd5\u5b98\u7ecf\u5e38\u4f1a\u95ee&#xff1a;\u201c\u5982\u679c\u9012\u5f52\u6808\u6ea2\u51fa\u600e\u4e48\u529e&#xff1f;\u80fd\u4e0d\u80fd\u7528\u8fed\u4ee3&#xff08;\u6808&#xff09;\u6765\u5b9e\u73b0&#xff1f;\u201d \u8fd9\u662f\u4e3a\u4e86\u8003\u5bdf\u4f60\u5bf9 \u201c\u7cfb\u7edf\u8c03\u7528\u6808\u201d \u7684\u6a21\u62df\u80fd\u529b\u3002<\/p>\n<p id=\"uf6b0b916\">\u6838\u5fc3\u903b\u8f91&#xff1a;<\/p>\n<li id=\"u7fe9063d\">\u4e00\u8def\u5411\u5de6&#xff1a;\u628a\u6cbf\u9014\u7ecf\u8fc7\u7684\u8282\u70b9\u5168\u90fd\u538b\u5165\u6808 (push)&#xff0c;\u76f4\u5230\u8d70\u5230 null\u3002<\/li>\n<li id=\"u0cfe9c69\">\u5230\u5934\u56de\u9000&#xff1a;\u4ece\u6808\u91cc\u5f39\u51fa\u4e00\u4e2a\u8282\u70b9 (pop)&#xff0c;\u8fd9\u4e2a\u8282\u70b9\u5c31\u662f\u5f53\u524d\u7684\u201c\u5de6\u4e0b\u89d2\u201d\u6216\u201c\u6839\u201d\u3002<\/li>\n<li id=\"uf410e746\">\u8bb0\u5f55\u5e76\u8f6c\u5411&#xff1a;\u8bb0\u5f55\u5b83\u7684\u503c&#xff0c;\u7136\u540e\u8ba9\u6307\u9488\u6307\u5411\u5b83\u7684 \u53f3\u5b69\u5b50 (node &#061; node.right)\u3002<\/li>\n<p>\/\/ \u8fed\u4ee3\u6cd5\u6a21\u7248 (\u4e00\u5b9a\u8981\u80cc\u4e0b\u6765)<br \/>\npublic List&lt;Integer&gt; inorderTraversal(TreeNode root) {<br \/>\n    List&lt;Integer&gt; res &#061; new ArrayList&lt;&gt;();<br \/>\n    Deque&lt;TreeNode&gt; stack &#061; new ArrayDeque&lt;&gt;();<\/p>\n<p>    \/\/ \u6307\u9488 cur \u4ece root \u5f00\u59cb<br \/>\n    TreeNode cur &#061; root;<\/p>\n<p>    \/\/ \u53ea\u8981 cur \u8fd8\u6709\u8def\u8d70&#xff0c;\u6216\u8005\u6808\u91cc\u8fd8\u6709\u5b58\u8d27&#xff0c;\u5c31\u7ee7\u7eed<br \/>\n    while (cur !&#061; null || !stack.isEmpty()) {<br \/>\n        \/\/ 1. \u65e2\u7136\u975e\u7a7a&#xff0c;\u5c31\u4e00\u8def\u5411\u5de6&#xff0c;\u628a\u6cbf\u9014\u7684\u90fd\u538b\u8fdb\u53bb<br \/>\n        if (cur !&#061; null) {<br \/>\n            stack.push(cur);<br \/>\n            cur &#061; cur.left;<br \/>\n        }<br \/>\n        \/\/ 2. \u8d70\u5230\u5934\u4e86 (cur &#061;&#061; null)&#xff0c;\u5f00\u59cb\u5f39\u6808<br \/>\n        else {<br \/>\n            cur &#061; stack.pop(); \/\/ \u5f39\u51fa\u6808\u9876\u5143\u7d20<br \/>\n            res.add(cur.val);  \/\/ \u3010\u4e2d\u5e8f\u3011\u5728\u8fd9\u91cc\u8bb0\u5f55\u503c<br \/>\n            cur &#061; cur.right;   \/\/ \u8f6c\u5411\u53f3\u5b50\u6811<br \/>\n        }<br \/>\n    }<br \/>\n    return res;<br \/>\n} <\/p>\n<h5 id=\"e1m3q\">&#x1f5bc;\ufe0f \u6570\u5b57\u6f14\u7ec3<\/h5>\n<p id=\"u0e0ebc0a\">\u6811\u7ed3\u6784&#xff1a;<\/p>\n<p>    1<br \/>\n   \/ \\\\<br \/>\n  2   3 <\/p>\n<p id=\"ucaddb574\">\u9012\u5f52\u89c6\u89d2&#xff1a;<\/p>\n<li id=\"u9726426b\">dfs(1) \u8c03\u7528 dfs(2)\u3002<\/li>\n<li id=\"u9a3b5956\">dfs(2) \u8c03\u7528 dfs(null) (\u5de6)&#xff0c;\u8fd4\u56de\u3002<\/li>\n<li id=\"u3df3a86b\">dfs(2) \u6dfb\u52a0 2\u3002<\/li>\n<li id=\"u828c2f40\">dfs(2) \u8c03\u7528 dfs(null) (\u53f3)&#xff0c;\u8fd4\u56de\u3002<\/li>\n<li id=\"ud15689b3\">dfs(2) \u7ed3\u675f&#xff0c;\u56de\u5230 dfs(1)\u3002<\/li>\n<li id=\"ub35027e4\">dfs(1) \u6dfb\u52a0 1\u3002<\/li>\n<li id=\"u614ac22a\">dfs(1) \u8c03\u7528 dfs(3)\u3002<\/li>\n<li id=\"u402f0767\">dfs(3) \u6dfb\u52a0 3\u3002<\/li>\n<p id=\"uade0f1ec\">\u7ed3\u679c&#xff1a;[2, 1, 3]<\/p>\n","protected":false},"excerpt":{"rendered":"<p>94. \u4e8c\u53c9\u6811\u7684\u4e2d\u5e8f\u904d\u5386<br \/>\n\u7b80\u5355<br \/>\n\u7ed9\u5b9a\u4e00\u4e2a\u4e8c\u53c9\u6811\u7684\u6839\u8282\u70b9 root &#xff0c;\u8fd4\u56de \u5b83\u7684 \u4e2d\u5e8f \u904d\u5386 \u3002 \u793a\u4f8b 1&#xff1a; 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