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| 1 | +### [101. Symmetric Tree](https://leetcode.com/problems/symmetric-tree/description/) |
| 2 | +**题目描述** |
| 3 | +> 判断是否是镜像二叉树(对称) |
| 4 | +
|
| 5 | +**例子** |
| 6 | +略 |
| 7 | + |
| 8 | +**思想** |
| 9 | +(递归) |
| 10 | +定义一辅助函数,输入为left和right,判断是否相等。 |
| 11 | +(迭代) |
| 12 | +定义两个栈,层次遍历时判断,并分别从左向右和从右向左存储。 |
| 13 | + |
| 14 | +**解法1** |
| 15 | +递归 |
| 16 | +```python |
| 17 | +# Definition for a binary tree node. |
| 18 | +# class TreeNode(object): |
| 19 | +# def __init__(self, x): |
| 20 | +# self.val = x |
| 21 | +# self.left = None |
| 22 | +# self.right = None |
| 23 | + |
| 24 | +class Solution(object): |
| 25 | + def isSymmetric(self, root): |
| 26 | + """ |
| 27 | + :type root: TreeNode |
| 28 | + :rtype: bool |
| 29 | + """ |
| 30 | + if not root: |
| 31 | + return True |
| 32 | + return self.helper(root.left, root.right) |
| 33 | + |
| 34 | + def helper(self, left, right): |
| 35 | + if not left and not right: |
| 36 | + return True |
| 37 | + if not left or not right or left.val != right.val: |
| 38 | + return False |
| 39 | + return self.helper(left.left, right.right) and self.helper(left.right, right.left) |
| 40 | +``` |
| 41 | +**解法2** |
| 42 | +迭代 |
| 43 | +```python |
| 44 | +# Definition for a binary tree node. |
| 45 | +# class TreeNode(object): |
| 46 | +# def __init__(self, x): |
| 47 | +# self.val = x |
| 48 | +# self.left = None |
| 49 | +# self.right = None |
| 50 | + |
| 51 | +class Solution(object): |
| 52 | + def isSymmetric(self, root): |
| 53 | + """ |
| 54 | + :type root: TreeNode |
| 55 | + :rtype: bool |
| 56 | + """ |
| 57 | + if not root or not root.left and not root.right: |
| 58 | + return True |
| 59 | + if not root.left or not root.right: |
| 60 | + return False |
| 61 | + |
| 62 | + queue1, queue2 = [root.left], [root.right] |
| 63 | + while queue1 and queue2: |
| 64 | + node1 = queue1.pop(0) |
| 65 | + node2 = queue2.pop(0) |
| 66 | + |
| 67 | + if node1.val != node2.val: |
| 68 | + return False |
| 69 | + |
| 70 | + if node1.left and node2.right: |
| 71 | + queue1.append(node1.left) |
| 72 | + queue2.append(node2.right) |
| 73 | + elif node1.left or node2.right: |
| 74 | + return False |
| 75 | + |
| 76 | + if node1.right and node2.left: |
| 77 | + queue1.append(node1.right) |
| 78 | + queue2.append(node2.left) |
| 79 | + elif node1.right or node2.left: |
| 80 | + return False |
| 81 | + return True |
| 82 | +``` |
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