Binary Tree Postorder Traversal-二叉树的后序遍历

2014-11-24 02:07:55 · 作者: · 浏览: 1
原题:
Given a binary tree, return the postorder traversal of its nodes' values.
=>给定一个二叉树,给出后序遍历的所有节点值
For example:
=>例如
Given binary tree {1,#,2,3},
=>给定一个二叉树{1,#,2,3}
1
\
2
/
3
return [3,2,1].
=>返回[3,2,1]
Note: Recursive solution is trivial, could you do it iteratively
=》注意:递归的实现很普通,能不能不用递归实现?
在CODE上查看代码片派生到我的代码片
/** 
 * Definition for binary tree 
 * struct TreeNode { 
 *     int val; 
 *     TreeNode *left; 
 *     TreeNode *right; 
 *     TreeNode(int x) : val(x), left(NULL), right(NULL) {} 
 * }; 
 */  
class Solution {  
public:  
    vector postorderTraversal(TreeNode *root) {  
        // IMPORTANT: Please reset any member data you declared, as  
        // the same Solution instance will be reused for each test case.  
          
    }  
};  

晓东解析:
其实之前晓东已经和大家分析了前序遍历的实现,后序遍历相对而言要复杂一点,关键的思想在于,我如何知道我已经遍历了右子树,所以,需要增加一个类似的标志位,来标志右子树的遍历。因此,我们先遍历到左子树,然后遍历右子树,加上一个标志位,在右子树已经遍历的情况下,就可以把该节点加入了。还有一点需要注意的是,在加入节点的时候才能把该节点从stack中pop出来哦。
代码实现:
在CODE上查看代码片派生到我的代码片
/** 
 * Definition for binary tree 
 * struct TreeNode { 
 *     int val; 
 *     TreeNode *left; 
 *     TreeNode *right; 
 *     TreeNode(int x) : val(x), left(NULL), right(NULL) {} 
 * }; 
 */  
class Solution {  
public:  
    vector postorderTraversal(TreeNode *root) {  
        // IMPORTANT: Please reset any member data you declared, as  
        // the same Solution instance will be reused for each test case.  
        stack TreeStack;  
        vector result;  
        TreeNode * Hasvisited;  
          
        if(root == NULL) return result;  
        while(root || !TreeStack.empty()){  
            while(root){  
                TreeStack.push(root);  
                root = root->left;  
            }  
            root = TreeStack.top();  
  
            if(root->right == NULL || Hasvisited == root->right){  
                result.push_back(root->val);  
                Hasvisited = root;  
                TreeStack.pop();  
                root = NULL;  
            }  
            else{  
                root = root->right;  
            }  
        }  
          
        return result;  
          
    }  
};  

执行结果:
67 / 67test cases passed.
Status:
Accepted
Runtime: 16 ms
希望大家有更好的算法能够提出来,不甚感谢。