Algorithm


Problem Name: 590. N-ary Tree Postorder Traversal

Given the root of an n-ary tree, return the postorder traversal of its nodes' values.

Nary-Tree input serialization is represented in their level order traversal. Each group of children is separated by the null value (See examples)

 

Example 1:

Input: root = [1,null,3,2,4,null,5,6]
Output: [5,6,3,2,4,1]

Example 2:

Input: root = [1,null,2,3,4,5,null,null,6,7,null,8,null,9,10,null,null,11,null,12,null,13,null,null,14]
Output: [2,6,14,11,7,3,12,8,4,13,9,10,5,1]

 

Constraints:

  • The number of nodes in the tree is in the range [0, 104].
  • 0 <= Node.val <= 104
  • The height of the n-ary tree is less than or equal to 1000.

Code Examples

#1 Code Example with Java Programming

Code - Java Programming


class Solution {
  public List postorder(Node root) {
    List result = new ArrayList<>();
    helper(root, result);
    return result;
  } 
  
  private void helper(Node root, List < Integer> result) {
    if (root == null) {
      return;
    }
    for (Node child : root.children) {
      helper(child, result);
    }
    result.add(root.val);
  }
}
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Input

x
+
cmd
root = [1,null,3,2,4,null,5,6]

Output

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cmd
[5,6,3,2,4,1]

#2 Code Example with Javascript Programming

Code - Javascript Programming


const postorder = function(root) {
    const res = []
    traverse(root, res)
    return res
};

function traverse(node, res) {
  if(node == null) return
  for(let i = 0; i < node.children.length; i++) {
    traverse(node.children[i], res)
  }
  res.push(node.val>
}
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Input

x
+
cmd
root = [1,null,3,2,4,null,5,6]

Output

x
+
cmd
[5,6,3,2,4,1]

#3 Code Example with C# Programming

Code - C# Programming


using System.Collections.Generic;

namespace LeetCode
{
    public class _0590_NAryTreePostorderTraversal
    {
        public IList < int> Postorder(Node root)
        {
            var result = new List<int>();
            if (root == null) return result;

            var stack = new Stack < Node>();
            stack.Push(root);
            while (stack.Count > 0)
            {
                var node = stack.Pop();
                result.Add(node.val);
                if (node.children != null)
                    foreach (var child in node.children)
                        stack.Push(child);
            }

            result.Reverse();
            return result;
        }

        public class Node
        {
            public int val;
            public IList < Node> children;

            public Node() { }

            public Node(int _val)
            {
                val = _val;
            }

            public Node(int _val, IList < Node> _children)
            {
                val = _val;
                children = _children;
            }
        }
    }
}
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Input

x
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cmd
root = [1,null,3,2,4,null,5,6]

Output

x
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cmd
[5,6,3,2,4,1]
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