2015-10-18 10:42:52 +08:00

115 lines
2.6 KiB
C++

// Source : https://oj.leetcode.com/problems/symmetric-tree/
// Author : Hao Chen
// Date : 2014-06-28
/**********************************************************************************
*
* 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
* \
* 5
*
* The above binary tree is serialized as "{1,2,3,#,#,4,#,#,5}".
*
*
**********************************************************************************/
/**
* Definition for binary tree
* struct TreeNode {
* int val;
* TreeNode *left;
* TreeNode *right;
* TreeNode(int x) : val(x), left(NULL), right(NULL) {}
* };
*/
class Solution {
public:
Solution(){
srand(time(NULL));
}
bool isSymmetric(TreeNode *root) {
if (root == NULL ) return true;
return isSymmetric(root->left, root->right);
}
bool isSymmetric(TreeNode *p, TreeNode *q){
if (random()%2){
return isSymmetric1(p, q);
}
return isSymmetric2(p, q);
}
bool isSymmetric1(TreeNode *p, TreeNode *q){
if (p==NULL && q==NULL) return true;
if (p==NULL || q==NULL) return false;
return (p->val == q->val) &&
isSymmetric(p->left, q->right) &&
isSymmetric(p->right, q->left);
}
bool isSymmetric2(TreeNode *p, TreeNode *q){
queue<TreeNode*> q1;
queue<TreeNode*> q2;
q1.push(p);
q2.push(q);
while(q1.size()>0 && q2.size()>0){
TreeNode* p1 = q1.front();
q1.pop();
TreeNode* p2 = q2.front();
q2.pop();
if (p1==NULL && p2==NULL) continue;
if (p1==NULL || p2==NULL) return false;
if (p1->val != p2->val) return false;
q1.push(p1->left);
q2.push(p2->right);
q1.push(p1->right);
q2.push(p2->left);
}
return true;
}
};