!()[https://leetcode.com/problems/symmetric-tree/]

Given the root of a binary tree, check whether it is a mirror of itself (i.e., symmetric around its center).

ex1

1
2
3
4
Example 1:

Input: root = [1,2,2,3,4,4,3]
Output: true

ex2

1
2
3
4
Example 2:

Input: root = [1,2,2,null,3,null,3]
Output: false

Constraints:

  • The number of nodes in the tree is in the range [1, 1000].
  • -100 <= Node.val <= 100
 1
 2
 3
 4
 5
 6
 7
 8
 9
10
11
12
13
14
15
16
17
18
19
20
21
22
23
24
25
26
27
28
29
30
31
32
33
34
35
36
37
38
39
40
41
42
43
44
45
46
47
48
49
50
51
52
53
54
55
56
57
58
59
60
61
62
63
64
65
66
67
68
69
70
71
72
73
74
75
76
77
78
/**
 * 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 boolean isSymmetric(TreeNode root) {
        if (root == null) {
            return true;
        }
        
        List<TreeNode> q = new ArrayList<>();
        q.add(root.left);
        q.add(root.right);
        
        while (q.size() > 1) {
            TreeNode left = q.remove(0);
            TreeNode right = q.remove(0);
            
            if (left == null && left == right) {
                continue;
            }
            
            if (left == null || right == null) {
                return false;
            }
            
            if (left.val != right.val) {
                return false;
            }
            
            q.add(left.left);
            q.add(right.right);
            
            q.add(left.right);
            q.add(right.left);
        }
        
        return true;
    }
    
    public boolean isSymmetricRecursive(TreeNode root) {
        if (root == null) {
            return true;
        }
        
        return isSymmetric(root.left, root.right);
    }
    
    boolean isSymmetric(TreeNode left, TreeNode right) {
        
        if (left == null && right == null) {
            return true;
        }
        
        if (left == null || right == null) {
            return false;
        }
        
        if (left.val != right.val) {
            return false;
        }
        
        return isSymmetric(left.left, right.right) 
            && isSymmetric(right.left, left.right);
    }
}