README_EN.md

101. Symmetric Tree

中文文档

Description

Given a binary tree, check whether it is a mirror of itself (ie, symmetric around its center).

For example, this binary tree [1,2,2,3,4,4,3] is symmetric:

    1

   / \

  2   2

 / \ / \

3  4 4  3

 

But the following [1,2,2,null,3,null,3] is not:

    1

   / \

  2   2

   \   \

   3    3

 

Note:

Bonus points if you could solve it both recursively and iteratively.

Solutions

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);
    }
};

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