此题来自leetcode https://oj.leetcode.com/problems/binary-tree-postorder-traversal/
Given a binary tree, return the postorder traversal of its nodes' values.
For example:
Given binary tree {1,#,2,3}
,
1
\
2
/
3
return [3,2,1]
.
Note: Recursive solution is trivial, could you do it iteratively?
非递后续归遍历二叉树,肯定得用到栈。先序遍历很好写,但后续遍历就不是那么容易了。
只需要设置个指针pre,指向最后输出的那个节点就行了,只要判断cur指针指向的是上次输出节点的父节点,且cur无其他未遍历的节点,这个时候就把cur节点输出即可,然后更改pre。原理是要遍历当前节点,其所有子节点都必须遍历完,因为肯定是先左后右,所以只需一个指针保持前一次输出的结果即可。
/**
* 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<int> postorderTraversal(TreeNode *root) {
vector<int> v;
if (NULL == root)
return v;
stack<TreeNode*> s;
s.push(root);
TreeNode * pre = root;
while (!s.empty()) {
TreeNode * cur = s.top();
if ((NULL == cur->left && NULL == cur->right) || (pre == cur->left || pre == cur->right)) {
s.pop();
v.push_back(cur->val);
pre = cur;
}
else {
if (cur->right)
s.push(cur->right);
if (cur->left)
s.push(cur->left);
}
}
return v;
}
};