题目:
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
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.
OJ's Binary Tree Serialization:
The serialization of a binary tree follows a level order traversal, where '#' signifies a path terminator where no node exists below.
Here's an example:
1 / \ 2 3 / 4 \ 5The above binary tree is serialized as
"{1,2,3,#,#,4,#,#,5}"
.解题思路:采用先序遍历的思路对根节点的两颗子树进行遍历,在遍历的时候需要注意,左子树的遍历过程中,先访左子树的左儿子,然后访问左子树的右儿子;右子树的遍历过程中,先访问右子树的右儿子,再访问右子树的左儿子。即镜像的对左右两颗子树进行比较。
递归代码:
/** * Definition for binary tree * struct TreeNode { * int val; * TreeNode *left; * TreeNode *right; * TreeNode(int x) : val(x), left(NULL), right(NULL) {} * }; */ class Solution { public: bool isSymmetric(TreeNode *root) { TreeNode *LeftSubTree=root,*RightSubTree=root; return PreorderTraverse(LeftSubTree,RightSubTree); } private: bool PreorderTraverse(TreeNode *LeftSubTree,TreeNode *RightSubTree){ if((LeftSubTree==nullptr)&&(RightSubTree==nullptr))return true; if((LeftSubTree==nullptr)||(RightSubTree==nullptr))return false; return (LeftSubTree->val==RightSubTree->val)&&PreorderTraverse(LeftSubTree->left,RightSubTree->right)&&PreorderTraverse(LeftSubTree->right,RightSubTree->left); } };
迭代代码:
/** * Definition for binary tree * struct TreeNode { * int val; * TreeNode *left; * TreeNode *right; * TreeNode(int x) : val(x), left(NULL), right(NULL) {} * }; */ class Solution { public: bool isSymmetric(TreeNode *root) { stack<TreeNode *> s; if(root==nullptr)return true; s.push(root->left); s.push(root->right); while(!s.empty()){ TreeNode *Right=s.top();s.pop(); TreeNode *Left=s.top();s.pop(); if(Left==nullptr&&Right==nullptr)continue; if(Left==nullptr||Right==nullptr)return false; if(Left->val==Right->val){ s.push(Left->left); s.push(Right->right); s.push(Left->right); s.push(Right->left); }else{ return false; } } return true; } };