Sunday, February 22, 2015

LeetCode [101] Symmetric Tree

 101. Symmetric Tree

Easy

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

For example, this binary tree [1,2,2,3,4,4,3] is symmetric:

    1
   / \
  2   2
 / \ / \
3  4 4  3

 

But the following [1,2,2,null,3,null,3] is not:

    1
   / \
  2   2
   \   \
   3    3

 

Follow up: Solve it both recursively and iteratively.

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/**
 * Definition for a binary tree node.
 * struct TreeNode {
 *     int val;
 *     TreeNode *left;
 *     TreeNode *right;
 *     TreeNode() : val(0), left(nullptr), right(nullptr) {}
 *     TreeNode(int x) : val(x), left(nullptr), right(nullptr) {}
 *     TreeNode(int x, TreeNode *left, TreeNode *right) : val(x), left(left), right(right) {}
 * };
 */
class Solution {
public:
    bool isSymmetric(TreeNode* root) {
        if(!root) return true;
        return isSym(root->left, root->right);
    }
    bool isSym(TreeNode* left, TreeNode* right){
        if(!left&&!right) return true;
        if(!left||!right) return false;
        if(left->val!=right->val) return false;
        return isSym(left->left, right->right)&&isSym(left->right, right->left);
    }
};

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/**
 * Definition for a binary tree node.
 * struct TreeNode {
 *     int val;
 *     TreeNode *left;
 *     TreeNode *right;
 *     TreeNode() : val(0), left(nullptr), right(nullptr) {}
 *     TreeNode(int x) : val(x), left(nullptr), right(nullptr) {}
 *     TreeNode(int x, TreeNode *left, TreeNode *right) : val(x), left(left), right(right) {}
 * };
 */
class Solution {
public:
    bool isSymmetric(TreeNode *root) {
        if(!root) return true;
        stack<treenode *> sL;
        stack<treenode *> sR;
        sL.push(root->left);
        sR.push(root->right);
        while(!sL.empty()){
            TreeNode *nL = sL.top(); sL.pop();
            TreeNode *nR = sR.top(); sR.pop();
            if(!nL&&!nR) continue;
            if(!(nL&&nR)) return false;
            if(nL->val!=nR->val) return false;
            sL.push(nL->right);
            sL.push(nL->left);
            sR.push(nR->left);
            sR.push(nR->right);            
        }
        return true;
    }
};

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