101. 对称二叉树
题目描述
给定一个二叉树,检查它是否是镜像对称的。
例如,二叉树 [1,2,2,3,4,4,3] 是对称的。
1 / \ 2 2 / \ / \ 3 4 4 3
但是下面这个 [1,2,2,null,3,null,3] 则不是镜像对称的:
1 / \ 2 2 \ \ 3 3
进阶:
你可以运用递归和迭代两种方法解决这个问题吗?
解法
Python3
# Definition for a binary tree node. # class TreeNode: # def __init__(self, x): # self.val = x # self.left = None # self.right = None class Solution: def isSymmetric(self, root: TreeNode) -> bool: if root is None: return True return self.is_symmetric(root.left, root.right) def is_symmetric(self, left: TreeNode, right: TreeNode) -> bool: if left is None and right is None: return True if left is None or right is None or left.val != right.val: return False return self.is_symmetric(left.left, right.right) and self.is_symmetric(left.right, right.left)
Java
/** * Definition for a binary tree node. * public class TreeNode { * int val; * TreeNode left; * TreeNode right; * TreeNode(int x) { val = x; } * } */ class Solution { public boolean isSymmetric(TreeNode root) { if (root == null) return true; return isSymmetric(root.left, root.right); } private boolean isSymmetric(TreeNode left, TreeNode right) { if (left == null && right == null) return true; if (left == null || right == null || left.val != right.val) return false; return isSymmetric(left.left, right.right) && isSymmetric(left.right, right.left); } }
C++
class Solution { public: bool isSymmetric(TreeNode* root) { if (!root) return true; return isSymmetric(root->left, root->right); } private: bool isSymmetric(TreeNode* left, TreeNode* right) { if (!left && !right) return true; if (!left && right || left && !right || left->val != right->val) return false; return isSymmetric(left->left, right->right) && isSymmetric(left->right, right->left); } };