|
| 1 | +## 题目地址 |
| 2 | +https://leetcode.com/problems/binary-tree-inorder-traversal/description/ |
| 3 | + |
| 4 | +## 题目描述 |
| 5 | +Given a binary tree, return the inorder traversal of its nodes' values. |
| 6 | + |
| 7 | +Example: |
| 8 | + |
| 9 | +Input: [1,null,2,3] |
| 10 | + 1 |
| 11 | + \ |
| 12 | + 2 |
| 13 | + / |
| 14 | + 3 |
| 15 | + |
| 16 | +Output: [1,3,2] |
| 17 | +Follow up: Recursive solution is trivial, could you do it iteratively? |
| 18 | + |
| 19 | +## 思路 |
| 20 | + |
| 21 | +递归的方式相对简单,非递归的方式借助栈这种数据结构实现起来会相对轻松。 |
| 22 | + |
| 23 | +如果采用非递归,可以用栈(Stack)的思路来处理问题。 |
| 24 | + |
| 25 | +中序遍历的顺序为左-根-右,具体算法为: |
| 26 | + |
| 27 | +- 从根节点开始,先将根节点压入栈 |
| 28 | + |
| 29 | +- 然后再将其所有左子结点压入栈,取出栈顶节点,保存节点值 |
| 30 | + |
| 31 | +- 再将当前指针移到其右子节点上,若存在右子节点,则在下次循环时又可将其所有左子结点压入栈中, 重复上步骤 |
| 32 | + |
| 33 | + |
| 34 | + |
| 35 | +(图片来自: https://github.com/MisterBooo/LeetCodeAnimation) |
| 36 | +## 关键点解析 |
| 37 | + |
| 38 | +- 二叉树的基本操作(遍历) |
| 39 | +> 不同的遍历算法差异还是蛮大的 |
| 40 | +- 如果非递归的话利用栈来简化操作 |
| 41 | + |
| 42 | +- 如果数据规模不大的话,建议使用递归 |
| 43 | + |
| 44 | +- 递归的问题需要注意两点,一个是终止条件,一个如何缩小规模 |
| 45 | + |
| 46 | +1. 终止条件,自然是当前这个元素是null(链表也是一样) |
| 47 | + |
| 48 | +2. 由于二叉树本身就是一个递归结构, 每次处理一个子树其实就是缩小了规模, |
| 49 | +难点在于如何合并结果,这里的合并结果其实就是`left.concat(mid).concat(right)`, |
| 50 | +mid是一个具体的节点,left和right`递归求出即可` |
| 51 | + |
| 52 | + |
| 53 | +## 代码 |
| 54 | + |
| 55 | +```js |
| 56 | +/* |
| 57 | + * @lc app=leetcode id=94 lang=javascript |
| 58 | + * |
| 59 | + * [94] Binary Tree Inorder Traversal |
| 60 | + * |
| 61 | + * https://leetcode.com/problems/binary-tree-inorder-traversal/description/ |
| 62 | + * |
| 63 | + * algorithms |
| 64 | + * Medium (55.22%) |
| 65 | + * Total Accepted: 422.4K |
| 66 | + * Total Submissions: 762.1K |
| 67 | + * Testcase Example: '[1,null,2,3]' |
| 68 | + * |
| 69 | + * Given a binary tree, return the inorder traversal of its nodes' values. |
| 70 | + * |
| 71 | + * Example: |
| 72 | + * |
| 73 | + * |
| 74 | + * Input: [1,null,2,3] |
| 75 | + * 1 |
| 76 | + * \ |
| 77 | + * 2 |
| 78 | + * / |
| 79 | + * 3 |
| 80 | + * |
| 81 | + * Output: [1,3,2] |
| 82 | + * |
| 83 | + * Follow up: Recursive solution is trivial, could you do it iteratively? |
| 84 | + * |
| 85 | + */ |
| 86 | +/** |
| 87 | + * Definition for a binary tree node. |
| 88 | + * function TreeNode(val) { |
| 89 | + * this.val = val; |
| 90 | + * this.left = this.right = null; |
| 91 | + * } |
| 92 | + */ |
| 93 | +/** |
| 94 | + * @param {TreeNode} root |
| 95 | + * @return {number[]} |
| 96 | + */ |
| 97 | +var inorderTraversal = function(root) { |
| 98 | + // 1. Recursive solution |
| 99 | + // if (!root) return []; |
| 100 | + // const left = root.left ? inorderTraversal(root.left) : []; |
| 101 | + // const right = root.right ? inorderTraversal(root.right) : []; |
| 102 | + // return left.concat([root.val]).concat(right); |
| 103 | + |
| 104 | + // 2. iterative solutuon |
| 105 | + if (!root) return []; |
| 106 | + const stack = [root]; |
| 107 | + const ret = []; |
| 108 | + let left = root.left; |
| 109 | + |
| 110 | + let item = null; // stack 中弹出的当前项 |
| 111 | + |
| 112 | + while(left) { |
| 113 | + stack.push(left); |
| 114 | + left = left.left; |
| 115 | + } |
| 116 | + |
| 117 | + while(item = stack.pop()) { |
| 118 | + ret.push(item.val); |
| 119 | + let t = item.right; |
| 120 | + |
| 121 | + while(t) { |
| 122 | + stack.push(t); |
| 123 | + t = t.left; |
| 124 | + } |
| 125 | + } |
| 126 | + |
| 127 | + return ret; |
| 128 | + |
| 129 | +}; |
| 130 | + |
| 131 | +``` |
| 132 | + |
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