Print binary tree in reverse order – level order traversal (BFS/ java/example)

  • Given a binary tree, we would like to print binary tree in reverse order.
  • Traverse binary tree using level order traversal or breadth first search algorithm.
  • The level order traversal of binary tree is shown in Fig 1:
    • 60 50 90 25 80 75 45
  • Binary tree in reverse order using level order traversal is:
    • 45 75 80 25 90 50 60 
level order traversal binary tree
Fig 1: Traverse binary tree

Brief algorithm: binary tree in reverse order (non recursive) in java

  • Perform level order traversal or breadth first search (BFS).
  • Push node value to a stack. (Refer Fig 2: Stack view)
  • Print (or Pop) the values from a stack.
  • We will get the level order traversal in reverse order.
stack reverse non recursive tree
Fig 2: Stack View

Algorithm – binary in reverse order (breadth first search) using java

  • Initialize the stack. [No element in stack]
  • Visit the Level 0 and visit all nodes at Level 0.
    • Visit node 60 and push 60 to a stack [100]
  • Visit all nodes of Level 1
    • Visit node 50 & push 50 to a stack [50,60]
    • Visit node 90 & push  90 to a stack [90, 50,60]
  • Visit all nodes of Level 2
    • Visit node 25 & push 25 to a stack [25, 90, 50,60]
    • Visit node 80 & push 80 to a stack [80, 25, 90, 50,60]
    • Visit node 75 & push 75 to a stack [75, 80, 25, 90, 50,60]
    • Visit node 45 & push 45 to a stack [45, 75, 80, 25, 90, 50,60]
  • Visited all levels of a binary tree.
  • Pop all elements from stack & we will get desired output
    • Reverse level order traversal of binary tree:45 75 80 25 90 50 60 
reverse binary tree bfs
Fig 3: level order traversal of binary tree

Time complexity of algorithm is O(n).

Program – binary tree in reverse order (BFS) using java

1.) ReverseLevelOrder class: 

  • ReverseLevelOrder class print binary tree in reverse order.
  • We will traverse the binary tree using level order traversal or depth first search.
package org.learn.Question;
 
import java.util.LinkedList;
import java.util.Queue;
import java.util.Stack;
 
import org.learn.PrepareTree.Node;
 
public class ReverseLevelOrder {
 
    public static void reverseLevelOrder(Node root) {
        if (root == null) {
            System.out.println("Tree is empty");
            return;
        }
        Queue<Node> queue = new LinkedList<Node>();
        queue.offer(root);
        Stack <Node> stack = new Stack<Node>();
        while (!queue.isEmpty()) {
            Node node = queue.poll();
            stack.push(node);
            if (node.left != null) {
                queue.offer(node.left);
            }
            if (node.right != null) {
                queue.offer(node.right);
            }
        }
        while(!stack.isEmpty()) {
            System.out.printf("%d ",stack.pop().data);
        }
    }
}

2.) Node Class: 

Node class representing the nodes of  a binary tree. Node class has following attributes

  • Data Node
  • left child
  • right child
package org.learn.Question;
 
public class Node {
    public int data;
    public Node left;
    public Node right;
 
    public Node(int num) {
        this.data = num;
        this.left = null;
        this.right = null;
    }
 
    public Node() {
        this.left = null;
        this.right = null;
    }
     
    public static Node createNode(int number) {
        return new Node(number);
    }
}

3.) App Class: 

  • We are creating the binary tree in main function.
  • We are calling  method of reverseLevelOrder class, to print the binary tree in a reverse order.
package org.learn.Client;
 
import org.learn.Question.Node;
import org.learn.Question.ReverseLevelOrder;
 
public class App {
    public static void main(String[] args) {
                // root level 0
        Node A = Node.createNode(60);
        // Level 1
        Node B = Node.createNode(50);
        Node C = Node.createNode(90);
        // Level 2
        Node D = Node.createNode(25);
        Node E = Node.createNode(80);
        Node F = Node.createNode(75);
        Node G = Node.createNode(45);
 
        // connect Level 0 and 1
        A.left = B;
        A.right = C;
        // connect level 1 and level 2
        B.left = D;
        B.right = E;
        C.left = F;
        C.right = G;
        System.out.println("Reverse Level Order Traversal:");
        ReverseLevelOrder.reverseLevelOrder(A);
    }
}

Output – reverse level order traversal of  binary tree using java

Reverse Level Order Traversal:
45 75 80 25 90 50 60

Code – binary tree in reverse order Level Order Traversal(BFS)