Reverse level order traversal of binary tree in java

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This is part of java binary tree tutorial.
In this post, we will see about Reverse Level Order binary tree traversal in java. In previous post, we have already seen Level order traversal. In reverse level order traversal, we will visit last level first, then second last and eventually first level.

Reverse Level Order traversal:

Reverse Level order traversal of below binary tree will be:

We will use stack  for Reverse Level Order traversal.

Steps for Reverse Level order traversal algorithm:

  1. Create empty queue and push root node to it.
  2. Do the following when queue is not empty
    • Pop a node from queue and print it
    • Push right child of popped node to queue if not null
    • Push left child of popped node to queue if not null
    • Push popped node to stack
  3. Pop node from stack and print it
// prints in reverse level order
    public static void reverseLevelOrderTraversal(TreeNode startNode) {
        Queue<TreeNode> queue=new LinkedList<>();
        Stack<TreeNode> stack=new Stack<>();
        queue.add(startNode);
        while(!queue.isEmpty())
        {
            TreeNode tempNode=queue.poll();
            if(tempNode.right!=null)
                queue.add(tempNode.right);
            if(tempNode.left!=null)
                queue.add(tempNode.left);

            stack.push(tempNode);
        }

        while(!stack.empty())
            System.out.print(stack.pop().data+" " );
    }

Example:
Lets say your binary tree is :

So Reverse Level Order traversal will work as below:

Lets create java program :


package org.arpit.java2blog.binarytree;

import java.util.LinkedList;
import java.util.Queue;
import java.util.Stack;
public class BinaryTreeReverseLevelOrder {

    public static class TreeNode
    {
        int data;
        TreeNode left;
        TreeNode right;
        TreeNode(int data)
        {
            this.data=data;
        }
    }

    // prints in reverse level order
    public static void reverseLevelOrderTraversal(TreeNode startNode) {
        Queue<TreeNode> queue=new LinkedList<>();
        Stack<TreeNode> stack=new Stack<>();
        queue.add(startNode);
        while(!queue.isEmpty())
        {
            TreeNode tempNode=queue.poll();
            if(tempNode.right!=null)
                queue.add(tempNode.right);
            if(tempNode.left!=null)
                queue.add(tempNode.left);

            stack.push(tempNode);
        }

        while(!stack.empty())
            System.out.print(stack.pop().data+" " );
    }
    public static void main(String[] args)
    {
        BinaryTreeReverseLevelOrder bi=new BinaryTreeReverseLevelOrder();
        // Creating a binary tree
        TreeNode rootNode=createBinaryTree();
        System.out.println("Reverse Level Order traversal of binary tree will be:");
        reverseLevelOrderTraversal(rootNode);
    }

    public static TreeNode createBinaryTree()
    {

        TreeNode rootNode =new TreeNode(40);
        TreeNode node20=new TreeNode(20);
        TreeNode node10=new TreeNode(10);
        TreeNode node30=new TreeNode(30);
        TreeNode node60=new TreeNode(60);
        TreeNode node50=new TreeNode(50);
        TreeNode node70=new TreeNode(70);

        rootNode.left=node20;
        rootNode.right=node60;

        node20.left=node10;
        node20.right=node30;

        node60.left=node50;
        node60.right=node70;

        return rootNode;
    }
}

Run above program and you will get following output:

Reverse Level Order traversal of binary tree will be:
10 30 50 70 20 60 40

Java Binary tree tutorial

Please go through java interview programs for more such programs.

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Comments

  1. Great post, thanks for writing this material

    There is a small mistake, you have as a first step in algorithm “Pop a node from queue and print it”
    I'm guessing that's a typo or copy and paste from level order traversal

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