[Leetcode] Postorder Traverse of Binary Tree

  1. Method 1: two stacks 
    /**
     * Definition for binary tree
     * public class TreeNode {
     *     int val;
     *     TreeNode left;
     *     TreeNode right;
     *     TreeNode(int x) { val = x; }
     * }
     */
    public class Solution {
     
        public List<Integer> postorderTraversal(TreeNode root) {
          List<Integer> res = new ArrayList<Integer>(); 
          Stack <TreeNode> s = new Stack<TreeNode>();
          Stack <TreeNode> out = new Stack<TreeNode>();
          if(root ==null) return res; 
          s.push(root);
          while(s.empty() == false){
            TreeNode top = s.pop();
            out.push(top); 
            if(top.left != null)
              s.push(top.left);
            if(top.right != null)
              s.push(top.right);
          }
          while(out.empty() == false){
            res.add(out.pop().val); 
          }
          return res; 
      }
    }

  2. Method 2: use only one stack but two cursors 
    #include <stack>
    
    using namespace std;
    
    class Solution {
    public:
        vector<int> postorderTraversal(TreeNode *root) {
            vector <int> res;
            if (!root) return res;
    
            stack<TreeNode*> s;
            TreeNode* prev = nullptr;
            s.push(root);
    
            while (!s.empty())
            {
                TreeNode* cur = s.top();
    
                //taking into account that if previous element coming from a subtree then it is either direct left or right child
                if (cur->right && cur->right == prev || !cur->right && cur->left == prev || !cur->left && !cur->right)
                {
                    s.pop();
                    res.push_back(cur->val);
                    prev = cur;
                    continue;
                }
    
                if (cur->right) s.push(cur->right);
                if (cur->left) s.push(cur->left);
            }
    
            return res;        
        }
    };
    

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