题目概览
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
解题分析
方法一:递归
直接交换左右两边节点即可,左右节点的翻转再调用当前方法翻转即可,当节点为 null 时终止。
时间复杂度:O(n)
空间复杂度:O(n)
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) {
if (root == null) {
return root;
}
TreeNode left = invertTree(root.left);
TreeNode right = invertTree(root.right);
root.left = right;
root.right = left;
return root;
}
}
方法二:迭代
用队列或栈都可以,用来存储根节点,每次出队列时交换左右节点,然后将左右节点入队列,直到队列为空。
时间复杂度:O(n)
空间复杂度:O(n)
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) {
if (root == null) {
return root;
}
Queue<TreeNode> queue = new LinkedList<>();
queue.offer(root);
while(!queue.isEmpty()) {
TreeNode node = queue.poll();
TreeNode temp = node.left;
node.left = node.right;
node.right = temp;
if (node.left != null) {
queue.offer(node.left);
}
if (node.right != null) {
queue.offer(node.right);
}
}
return root;
}
}