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Print Binary Tree levels in sorted order | Set 3 (Tree given as array)

Print Binary Tree levels in sorted order

Last Updated : 29 Mar, 2024

Given a Binary tree, the task is to print its all level in sorted order Examples:

Input :     7
          /    \
        6       5
       / \     / \
      4  3    2   1
Output : 
7
5 6
1 2 3 4 
Input :     7
          /    \
        16       1
       / \      
      4   13    
Output :
7 
1 16
4 13

Here we can use two Priority queue for print in sorted order. We create an empty queue q and two priority queues, current_level and next_level. We use NULL as a separator between two levels. Whenever we encounter NULL in normal level order traversal, we swap current_level and next_level.

CPP

   // CPP program to print levels in sorted order. 
#include <iostream> 
#include <queue> 
#include <vector> 
using namespace std; 
  
// A Binary Tree Node 
struct Node { 
    int data; 
    struct Node *left, *right; 
}; 
  
// Iterative method to find height of Binary Tree 
void printLevelOrder(Node* root) 
{ 
    // Base Case 
    if (root == NULL) 
        return; 
  
    // Create an empty queue for level order traversal 
    queue<Node*> q; 
  
    // A priority queue (or min heap) of integers for  
    // to store all elements of current level.  
    priority_queue<int, vector<int>, greater<int> > current_level; 
  
    // A priority queue (or min heap) of integers for  
    // to store all elements of next level.  
    priority_queue<int, vector<int>, greater<int> > next_level; 
  
    // push the root for traverse all next level nodes 
    q.push(root); 
  
    // for go level by level 
    q.push(NULL); 
  
    // push the first node data in previous_level queue 
    current_level.push(root->data); 
  
    while (q.empty() == false) { 
  
        // Get top of priority queue  
        int data = current_level.top(); 
  
        // Get top of queue 
        Node* node = q.front(); 
  
        // if node == NULL (Means this is boundary 
        // between two levels), swap current_level 
        // next_level priority queues. 
        if (node == NULL) { 
            q.pop(); 
  
            // here queue is empty represent 
            // no element in the actual 
            // queue 
            if (q.empty()) 
                break; 
  
            q.push(NULL); 
            cout << "\n"; 
  
            // swap next_level to current_level level 
            // for print in sorted order 
            current_level.swap(next_level); 
  
            continue; 
        } 
  
        // print the current_level data 
        cout << data << " "; 
  
        q.pop(); 
        current_level.pop(); 
  
        /* Enqueue left child */
        if (node->left != NULL) { 
            q.push(node->left); 
  
            // Enqueue left child in next_level queue 
            next_level.push(node->left->data); 
        } 
  
        /*Enqueue right child */
        if (node->right != NULL) { 
            q.push(node->right); 
  
            // Enqueue right child in next_level queue 
            next_level.push(node->right->data); 
        } 
    } 
} 
  
// Utility function to create a new tree node 
Node* newNode(int data) 
{ 
    Node* temp = new Node; 
    temp->data = data; 
    temp->left = temp->right = NULL; 
    return temp; 
} 
  
// Driver program to test above functions 
int main() 
{ 
    // Let us create binary tree shown in above diagram 
    Node* root = newNode(7); 
    root->left = newNode(6); 
    root->right = newNode(5); 
    root->left->left = newNode(4); 
    root->left->right = newNode(3); 
    root->right->left = newNode(2); 
    root->right->right = newNode(1); 
  
    /*     7 
         /    \ 
        6       5 
       / \     / \ 
      4  3     2  1          */
  
    cout << "Level Order traversal of binary tree is \n"; 
    printLevelOrder(root); 
    return 0; 
} 
 
  

Java

   import java.util.LinkedList; 
import java.util.PriorityQueue; 
import java.util.Queue; 
  
// A Binary Tree Node 
class Node { 
    int data; 
    Node left, right; 
  
    public Node(int data) { 
        this.data = data; 
        this.left = this.right = null; 
    } 
} 
  
public class BinaryTreeLevelOrder { 
    // Iterative method to find height of Binary Tree 
    public static void printLevelOrder(Node root) { 
        // Base Case 
        if (root == null) { 
            return; 
        } 
  
        // Create an empty queue for level order traversal 
        Queue<Node> queue = new LinkedList<>(); 
  
        // push the root to traverse all next level nodes 
        queue.add(root); 
  
        while (!queue.isEmpty()) { 
            // Get the number of nodes at the current level 
            int levelSize = queue.size(); 
  
            // A min heap to store elements of the current level 
            PriorityQueue<Integer> currentLevel = new PriorityQueue<>(); 
  
            for (int i = 0; i < levelSize; i++) { 
                // Get front of queue 
                Node node = queue.poll(); 
  
                // Print the data of the current_level 
                currentLevel.add(node.data); 
  
                // Enqueue left child 
                if (node.left != null) { 
                    queue.add(node.left); 
                } 
  
                // Enqueue right child 
                if (node.right != null) { 
                    queue.add(node.right); 
                } 
            } 
  
            // Print elements of the current level in sorted order 
            while (!currentLevel.isEmpty()) { 
                System.out.print(currentLevel.poll() + " "); 
            } 
  
            System.out.println(); 
        } 
    } 
  
    // Utility function to create a new tree node 
    public static Node newNode(int data) { 
        return new Node(data); 
    } 
  
    // Driver program to test above functions 
    public static void main(String[] args) { 
        // Let us create a binary tree shown in the above diagram 
        Node root = newNode(7); 
        root.left = newNode(6); 
        root.right = newNode(5); 
        root.left.left = newNode(4); 
        root.left.right = newNode(3); 
        root.right.left = newNode(2); 
        root.right.right = newNode(1); 
  
        /* 
                7 
               / \ 
              6   5 
             / \ / \ 
            4  3 2  1 
        */
  
        System.out.println("Level Order traversal of binary tree in sorted order is "); 
        printLevelOrder(root); 
    } 
} 
 
  

Python3

   import queue 
import heapq 
  
# A Binary Tree Node 
class Node: 
    def __init__(self, data): 
        self.data = data 
        self.left = self.right = None
  
# Iterative method to find height of Binary Tree 
def printLevelOrder(root): 
    # Base Case 
    if root is None: 
        return
  
    # Create an empty queue for level order traversal 
    q = queue.Queue() 
  
    # push the root to traverse all next level nodes 
    q.put(root) 
  
    while not q.empty(): 
        # Get the number of nodes at the current level 
        level_size = q.qsize() 
  
        # A min heap to store elements of the current level 
        current_level = [] 
  
        for _ in range(level_size): 
            # Get top of queue 
            node = q.get() 
  
            # print the current_level data 
            heapq.heappush(current_level, node.data) 
  
            # Enqueue left child 
            if node.left is not None: 
                q.put(node.left) 
  
            # Enqueue right child 
            if node.right is not None: 
                q.put(node.right) 
  
        # Print elements of the current level in sorted order 
        while current_level: 
            print(heapq.heappop(current_level), end=" ") 
  
        print("") 
  
# Utility function to create a new tree node 
def newNode(data): 
    temp = Node(data) 
    return temp 
  
# Driver program to test above functions 
if __name__ == "__main__": 
    # Let us create binary tree shown in the above diagram 
    root = newNode(7) 
    root.left = newNode(6) 
    root.right = newNode(5) 
    root.left.left = newNode(4) 
    root.left.right = newNode(3) 
    root.right.left = newNode(2) 
    root.right.right = newNode(1) 
  
    """ 
        7 
       / \ 
      6   5 
     / \ / \ 
    4  3 2  1 
    """
  
    print("Level Order traversal of binary tree in sorted order is ") 
    printLevelOrder(root) 
 
  

C#

   using System; 
using System.Collections.Generic; 
  
// A Binary Tree Node 
public class Node 
{ 
    public int Data; 
    public Node Left, Right; 
  
    public Node(int data) 
    { 
        this.Data = data; 
        this.Left = this.Right = null; 
    } 
} 
  
public class BinaryTreeLevelOrder 
{ 
    // Iterative method to find the height of a Binary Tree 
    public static void PrintLevelOrder(Node root) 
    { 
        // Base Case 
        if (root == null) 
        { 
            return; 
        } 
  
        // Create an empty queue for level order traversal 
        Queue<Node> queue = new Queue<Node>(); 
  
        // Enqueue the root to traverse all next level nodes 
        queue.Enqueue(root); 
  
        while (queue.Count > 0) 
        { 
            // Get the number of nodes at the current level 
            int levelSize = queue.Count; 
  
            // A sorted set to store elements of the current level 
            SortedSet<int> currentLevel = new SortedSet<int>(); 
  
            for (int i = 0; i < levelSize; i++) 
            { 
                // Get the front of the queue 
                Node node = queue.Dequeue(); 
  
                // Print the data of the current level 
                currentLevel.Add(node.Data); 
  
                // Enqueue the left child 
                if (node.Left != null) 
                { 
                    queue.Enqueue(node.Left); 
                } 
  
                // Enqueue the right child 
                if (node.Right != null) 
                { 
                    queue.Enqueue(node.Right); 
                } 
            } 
  
            // Print elements of the current level in sorted order 
            foreach (var item in currentLevel) 
            { 
                Console.Write(item + " "); 
            } 
  
            Console.WriteLine(); 
        } 
    } 
  
    // Utility function to create a new tree node 
    public static Node NewNode(int data) 
    { 
        return new Node(data); 
    } 
  
    // Driver program to test above functions 
    public static void Main(string[] args) 
    { 
        // Let us create a binary tree shown in the above diagram 
        Node root = NewNode(7); 
        root.Left = NewNode(6); 
        root.Right = NewNode(5); 
        root.Left.Left = NewNode(4); 
        root.Left.Right = NewNode(3); 
        root.Right.Left = NewNode(2); 
        root.Right.Right = NewNode(1); 
  
        /* 
                7 
               / \ 
              6   5 
             / \ / \ 
            4  3 2  1 
        */
  
        Console.WriteLine("Level Order traversal of binary tree in sorted order is "); 
        PrintLevelOrder(root); 
    } 
} 
 
  

Javascript

   // Binary Tree Node 
class Node { 
    constructor(data) { 
        this.data = data; 
        this.left = null; 
        this.right = null; 
    } 
} 
  
// Iterative method to find height of Binary Tree 
function printLevelOrder(root) { 
    // Base Case 
    if (root === null) { 
        return; 
    } 
  
    // Create an empty queue for level order traversal 
    let q = []; 
  
    // push the root to traverse all next level nodes 
    q.push(root); 
  
    while (q.length !== 0) { 
        // Get the number of nodes at the current level 
        let levelSize = q.length; 
  
        // A min heap to store elements of the current level 
        let currentLevel = []; 
  
        for (let i = 0; i < levelSize; i++) { 
            // Get front of queue 
            let node = q.shift(); 
  
            // Push the current node data to currentLevel array 
            currentLevel.push(node.data); 
  
            // Enqueue left child 
            if (node.left !== null) { 
                q.push(node.left); 
            } 
  
            // Enqueue right child 
            if (node.right !== null) { 
                q.push(node.right); 
            } 
        } 
  
        // Print elements of the current level in sorted order 
        currentLevel.sort((a, b) => a - b); 
        console.log(currentLevel.join(" ")); 
    } 
} 
  
// Utility function to create a new tree node 
function newNode(data) { 
    let temp = new Node(data); 
    return temp; 
} 
  
// Driver program to test above functions 
// Let us create a binary tree 
let root = newNode(7); 
root.left = newNode(6); 
root.right = newNode(5); 
root.left.left = newNode(4); 
root.left.right = newNode(3); 
root.right.left = newNode(2); 
root.right.right = newNode(1); 
  
/* 
        7 
       / \ 
      6   5 
     / \ / \ 
    4  3 2  1 
*/
  
console.log("Level Order traversal of binary tree in sorted order is:"); 
printLevelOrder(root); 
 
  

Output

Level Order traversal of binary tree is   7   5 6   1 2 3 4

Time Complexity: O(n*log(n)) where n is the number of nodes in the binary tree.
Auxiliary Space: O(n) where n is the number of nodes in the binary tree.

Print Binary Tree levels in sorted order | Set 3 (Tree given as array)

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