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Symmetric Tree

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

For example, this binary tree is symmetric:

    1   /   2   2 / \ / 3  4 4  3

 

But the following is not:

    1   /   2   2   \      3    3

 

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

confused what "{1,#,2,3}" means? > read more on how binary tree is serialized on OJ.

 

实质是判断两颗树相同的变形,要判断一颗数是否对称,那么就是判断他的两颗子树是否对称相等,代码如下:

 1 /** 2  * Definition for binary tree 3  * struct TreeNode { 4  *     int val; 5  *     TreeNode *left; 6  *     TreeNode *right; 7  *     TreeNode(int x) : val(x), left(NULL), right(NULL) {} 8  * }; 9  */10 class Solution {11 public:12     bool isSymmetric(TreeNode *root) {13         if( !root ) return true;14         return isSyRec(root->left, root->right);15     }16     17     bool isSyRec(TreeNode* lhs, TreeNode* rhs) {18         if( !lhs && !rhs ) return true;19         if( lhs && rhs && lhs->val == rhs->val )    //lhs左子树与rhs右子树相同,lhs右子树与rhs左子树相同20             return isSyRec(lhs->left, rhs->right) && isSyRec(lhs->right, rhs->left);21         return false;22     }23 };

 

Symmetric Tree