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?

vector<int> postorderTraversal(TreeNode *root){
vector<int> res;
if(root == NULL) return res;
stack<TreeNode *> record;
record.push(root);
TreeNode *pre = NULL;
while(!record.empty()){
TreeNode *node = record.top();
if((node->left == NULL && node->right == NULL)||(pre!=NULL &&(pre == node->left || pre == node->right)) ){
res.push_back(node->val);
record.pop();
pre = node;
}else{
if(node->right) record.push(node->right);
if(node->left ) record.push(node->left);
}
}
return res;
}

另一种方法:

通过不断的交换左右孩子,然后压栈,最后弹出,即可得到结果

时间复杂度为O(h),h为树的高度,空间复杂度为O(n)

vector<int> postorderTraversa(TreeNode *root){
vector<int> res;
if(root == NULL) return res;
stack<TreeNode *> post_record,reverse_record;
post_record.push(root);
while(!post_record.empty()){
TreeNode *node = post_record.top();
reverse_record.push(node);
post_record.pop();
if(node->left) post_record.push(node->left);
if(node->right) post_record.push(node->right);
}
while(!reverse_record.empty()){
res.push_back(reverse_record.top()->val);
reverse_record.pop();
}
return res;
}

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