題目:
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
解答:
最開始非常腦殘地希望補全二叉樹,然後利用1,2,4,8個節點之間的關系來比較。結果越來越復雜。
還是那句話:碰上樹,能遞歸就遞歸,不能遞歸就棧、隊列。這次的遞歸要點:某節點的左子樹的左子樹 = 右子樹的右子樹,左子樹的右子樹 = 右子樹的左子樹。
/**
* 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 compare(TreeNode* left, TreeNode* right)
{
if (!left && !right) return true;
if((!left && right) || (left && !right) || (left->val != right->val)) return false;
return compare(left->left, right->right) && compare(left->right, right->left);
}
bool isSymmetric(TreeNode* root) {
if (root == NULL || (!root->left && !root->right)) return true;
else return compare(root->left, root->right);
}
};