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Author SHA1 Message Date
wonder 44b68083eb 🔄Update: 翻转二叉树 2025-10-06 22:16:15 +08:00
wonder 66a49a59b1 🔄Update: 二叉树的最大深度 2025-10-06 22:10:28 +08:00
wonder 85ea486fd2 🔄Update: 二叉树的中序遍历 2025-10-06 21:56:02 +08:00
3 changed files with 250 additions and 0 deletions
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# 二叉树的中序遍历
## 题目
给定一个二叉树的根节点 root ,返回 它的 中序 遍历 。
示例 1:
输入:root = [1,null,2,3]
输出:[1,3,2]
示例 2:
输入:root = []
输出:[]
示例 3:
输入:root = [1]
输出:[1]
提示:
树中节点数目在范围 [0, 100] 内
-100 <= Node.val <= 100
进阶: 递归算法很简单,你可以通过迭代算法完成吗?
## 思路
- 递归
- 迭代
## 代码
- 递归
```java
/**
* Definition for a binary tree node.
* public class TreeNode {
* int val;
* TreeNode left;
* TreeNode right;
* TreeNode() {}
* TreeNode(int val) { this.val = val; }
* TreeNode(int val, TreeNode left, TreeNode right) {
* this.val = val;
* this.left = left;
* this.right = right;
* }
* }
*/
class Solution {
public List<Integer> inorderTraversal(TreeNode root) {
// Init: Res
List<Integer> res = new ArrayList<>();
inorder(root, res);
return res;
}
public void inorder(TreeNode root, List<Integer> res) {
if (root == null) {
return;
}
inorder(root.left, res);
res.add(root.val);
inorder(root.right, res);
}
}
```
- 迭代
```java
/**
* Definition for a binary tree node.
* public class TreeNode {
* int val;
* TreeNode left;
* TreeNode right;
* TreeNode() {}
* TreeNode(int val) { this.val = val; }
* TreeNode(int val, TreeNode left, TreeNode right) {
* this.val = val;
* this.left = left;
* this.right = right;
* }
* }
*/
class Solution {
public List<Integer> inorderTraversal(TreeNode root) {
// Init: stack, res
Deque<TreeNode> stack = new LinkedList<>();
List<Integer> res = new ArrayList<>();
TreeNode cur = root;
// Traverse 1: Judge
while (cur != null || stack.size() > 0) {
// Traverse 2: Add
while (cur != null) {
stack.push(cur);
cur = cur.left;
}
cur = stack.peek();
stack.pop();
res.add(cur.val);
cur = cur.right;
}
return res;
}
}
```
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# 二叉树的最大深度
## 题目
给定一个二叉树 root ,返回其最大深度。
二叉树的 最大深度 是指从根节点到最远叶子节点的最长路径上的节点数。
示例 1:
输入:root = [3,9,20,null,null,15,7]
输出:3
示例 2:
输入:root = [1,null,2]
输出:2
提示:
树中节点的数量在 [0, 104] 区间内。
-100 <= Node.val <= 100
## 思路
- 递归
## 代码
- 递归
```java
/**
* Definition for a binary tree node.
* public class TreeNode {
* int val;
* TreeNode left;
* TreeNode right;
* TreeNode() {}
* TreeNode(int val) { this.val = val; }
* TreeNode(int val, TreeNode left, TreeNode right) {
* this.val = val;
* this.left = left;
* this.right = right;
* }
* }
*/
class Solution {
public int maxDepth(TreeNode root) {
// Init: cur
TreeNode cur = root;
// Special
if (root == null) {
return 0;
}
// Recursion
return Math.max(maxDepth(cur.left), maxDepth(cur.right)) + 1;
}
}
```
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# 翻转二叉树
## 题目
给你一棵二叉树的根节点 root ,翻转这棵二叉树,并返回其根节点。
示例 1:
输入:root = [4,2,7,1,3,6,9]
输出:[4,7,2,9,6,3,1]
示例 2:
输入:root = [2,1,3]
输出:[2,3,1]
示例 3:
输入:root = []
输出:[]
提示:
树中节点数目范围在 [0, 100] 内
-100 <= Node.val <= 100
## 思路
- 递归
- 对于每一个节点
- 为空
- 返回当前节点 null
- 不为空
- 交换左右节点,再返回当前节点
## 代码
```java
/**
* Definition for a binary tree node.
* public class TreeNode {
* int val;
* TreeNode left;
* TreeNode right;
* TreeNode() {}
* TreeNode(int val) { this.val = val; }
* TreeNode(int val, TreeNode left, TreeNode right) {
* this.val = val;
* this.left = left;
* this.right = right;
* }
* }
*/
class Solution {
public TreeNode invertTree(TreeNode root) {
// Special
if (root == null) return null;
TreeNode left = invertTree(root.left);
TreeNode right = invertTree(root.right);
root.left = right;
root.right = left;
return root;
}
}
```