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
说明:
如果你可以运用递归和迭代两种方法解决这个问题,会很加分。
方法1:使用递归
/**
* Definition for a binary tree node.
* struct TreeNode {
* int val;
* TreeNode *left;
* TreeNode *right;
* TreeNode(int x) : val(x), left(NULL), right(NULL) {}
* };
*/
class Solution {
public:
bool isSymmetric(TreeNode* root) {
if (!root) return true;
return symmetric(root->left,root->right);
}
private:
bool symmetric(TreeNode* left, TreeNode* right){
if (!left && !right) return true;
if (!left || !right) return false;
return (left->val == right->val) && symmetric(left->left, right->right) && symmetric(right->left, left->right);
}
};
方法2:使用迭代
/**
* Definition for a binary tree node.
* struct TreeNode {
* int val;
* TreeNode *left;
* TreeNode *right;
* TreeNode(int x) : val(x), left(NULL), right(NULL) {}
* };
*/
class Solution {
public:
bool isSymmetric(TreeNode* root) {
if (!root) return true;
stack<TreeNode* > tool;
TreeNode* left = root->left;
TreeNode* right = root->right;
tool.push(left);
tool.push(right);
while (!tool.empty()){
left = tool.top();
tool.pop();
right = tool.top();
tool.pop();
if (!left && !right) continue;
if (!left || !right)return false;
if (left->val != right->val) return false;
tool.push(left->left);
tool.push(right->right);
tool.push(left->right);
tool.push(right->left);
}
return true;
}
};