Print extreme nodes of each level of Binary Tree in alternate order

Extreme alternate nodes of each level

Here given code implementation process.

import java.util.HashMap;
// Java program for
// Print extreme nodes of each level of Binary Tree in alternate order
class TreeNode
{
	// Data value
	public int data;
	// Indicates left and right subtree
	public TreeNode left;
	public TreeNode right;
	public TreeNode(int data)
	{
		this.data = data;
		this.left = null;
		this.right = null;
	}
}
public class BinaryTree
{
	public TreeNode root;
	public BinaryTree()
	{
		this.root = null;
	}
	public void findExtremeNode(TreeNode node, 
                                 HashMap < Integer, Integer > record, 
                                 int level)
	{
		if (node != null)
		{
			if (!record.containsKey(level))
			{
				// Collect first node of level
				record.put(level, node.data);
			}
			else if (level % 2 == 0)
			{
				// Update first node of level
				record.put(level, node.data);
			}
			// Visit left subtree
			findExtremeNode(node.left, record, level + 1);
			// Visit right subtree
			findExtremeNode(node.right, record, level + 1);
		}
	}
	public void extremeNode()
	{
		if (this.root != null)
		{
			HashMap < Integer, Integer > record = 
              new HashMap < Integer, Integer > ();
			findExtremeNode(this.root, record, 1);
			int i = 1;
			int n = record.size();
			// Display extreme nodes
			while (i <= n)
			{
				System.out.print("  " + record.get(i));
				i++;
			}
		}
	}
	public static void main(String[] args)
	{
		BinaryTree tree = new BinaryTree();
		/*  Binary Tree
		   -----------
		      1
		     /  \
		    2    3
		   /    /  \
		  4    5    6
		   \       / \
		    7     8   9
		   / \     \
		  17  30    10
		        
		*/
		// Binary tree nodes
		tree.root = new TreeNode(1);
		tree.root.left = new TreeNode(2);
		tree.root.right = new TreeNode(3);
		tree.root.right.right = new TreeNode(6);
		tree.root.right.right.right = new TreeNode(9);
		tree.root.right.left = new TreeNode(5);
		tree.root.left.left = new TreeNode(4);
		tree.root.left.left.right = new TreeNode(7);
		tree.root.right.right.left = new TreeNode(8);
		tree.root.left.left.right.left = new TreeNode(17);
		tree.root.left.left.right.right = new TreeNode(30);
		tree.root.right.right.left.right = new TreeNode(10);
		/* 
		    Extreme node of alternate level
		    -----------
		      →   1
		         /  \
		        2    3  ←
		       /    / \
		   →  4    5   6
		       \      / \
		        7    8   9 ←
		       / \    \
		   →  17 30    10
		        
		*/
		tree.extremeNode();
	}
}

Output

  1  3  4  9  17
// Include header file
#include <iostream>
#include <unordered_map>

using namespace std;
// C++ program for
// Print extreme nodes of each level of Binary Tree in alternate order
class TreeNode
{
	public:
	// Data value
	int data;
	// Indicates left and right subtree
	TreeNode *left;
	TreeNode *right;
	TreeNode(int data)
	{
		this->data = data;
		this->left = NULL;
		this->right = NULL;
	}
};
class BinaryTree
{
	public: TreeNode *root;
	BinaryTree()
	{
		this->root = NULL;
	}
	void findExtremeNode(TreeNode *node, 
                         unordered_map < int, int > &record, 
                         int level)
	{
		if (node != NULL)
		{
			if (record.find(level) == record.end())
			{
				// Collect first node of level
				record[level] = node->data;
			}
			else if (level % 2 == 0)
			{
				// Update first node of level
				record[level] = node->data;
			}
			// Visit left subtree
			this->findExtremeNode(node->left, record, level + 1);
			// Visit right subtree
			this->findExtremeNode(node->right, record, level + 1);
		}
	}
	void extremeNode()
	{
		if (this->root != NULL)
		{
			unordered_map < int, int > record;
			this->findExtremeNode(this->root, record, 1);
			int i = 1;
			int n = record.size();
			// Display extreme nodes
			while (i <= n)
			{
				cout << "  " << record[i];
				i++;
			}
		}
	}
};
int main()
{
	BinaryTree *tree = new BinaryTree();
	/*Binary Tree
	   -----------
	      1
	     /  \
	    2    3
	   /    /  \
	  4    5    6
	   \       / \
	    7     8   9
	   / \     \
	  17  30    10
	        
	*/
	// Binary tree nodes
	tree->root = new TreeNode(1);
	tree->root->left = new TreeNode(2);
	tree->root->right = new TreeNode(3);
	tree->root->right->right = new TreeNode(6);
	tree->root->right->right->right = new TreeNode(9);
	tree->root->right->left = new TreeNode(5);
	tree->root->left->left = new TreeNode(4);
	tree->root->left->left->right = new TreeNode(7);
	tree->root->right->right->left = new TreeNode(8);
	tree->root->left->left->right->left = new TreeNode(17);
	tree->root->left->left->right->right = new TreeNode(30);
	tree->root->right->right->left->right = new TreeNode(10);
	/*
	    Extreme node of alternate level
	    -----------
	      →   1
	         /  \
	        2    3  ←
	       /    / \
	   →  4    5   6
	       \      / \
	        7    8   9 ←
	       / \    \
	   →  17 30    10
	        
	*/
	tree->extremeNode();
	return 0;
}

Output

  1  3  4  9  17
package main
import "fmt"
// Go program for
// Print extreme nodes of each level of Binary Tree in alternate order
type TreeNode struct {
	// Data value
	data int
	// Indicates left and right subtree
	left * TreeNode
	right * TreeNode
}
func getTreeNode(data int) * TreeNode {
	var me *TreeNode = &TreeNode {}
	me.data = data
	me.left = nil
	me.right = nil
	return me
}
type BinaryTree struct {
	root * TreeNode
}
func getBinaryTree() * BinaryTree {
	var me *BinaryTree = &BinaryTree {}
	me.root = nil
	return me
}
func(this BinaryTree) findExtremeNode(node * TreeNode, 
	record map[int]int, level int) {
	if node != nil {
		if _, found := record[level] ; !found {
			// Collect first node of level
			record[level] = node.data
		} else if level % 2 == 0 {
			// Update first node of level
			record[level] = node.data
		}
		// Visit left subtree
		this.findExtremeNode(node.left, record, level + 1)
		// Visit right subtree
		this.findExtremeNode(node.right, record, level + 1)
	}
}
func(this BinaryTree) extremeNode() {
	if this.root != nil {
		var record = make(map[int] int)
		this.findExtremeNode(this.root, record, 1)
		var i int = 1
		var n int = len(record)
		// Display extreme nodes
		for (i <= n) {
			fmt.Print("  ", record[i])
			i++
		}
	}
}
func main() {
	var tree * BinaryTree = getBinaryTree()
	/*  Binary Tree
	   -----------
	      1
	     /  \
	    2    3
	   /    /  \
	  4    5    6
	   \       / \
	    7     8   9
	   / \     \
	  17  30    10
	        
	*/
	// Binary tree nodes
	tree.root = getTreeNode(1)
	tree.root.left = getTreeNode(2)
	tree.root.right = getTreeNode(3)
	tree.root.right.right = getTreeNode(6)
	tree.root.right.right.right = getTreeNode(9)
	tree.root.right.left = getTreeNode(5)
	tree.root.left.left = getTreeNode(4)
	tree.root.left.left.right = getTreeNode(7)
	tree.root.right.right.left = getTreeNode(8)
	tree.root.left.left.right.left = getTreeNode(17)
	tree.root.left.left.right.right = getTreeNode(30)
	tree.root.right.right.left.right = getTreeNode(10)
	/* 
	    Extreme node of alternate level
	    -----------
	      →   1
	         /  \
	        2    3  ←
	       /    / \
	   →  4    5   6
	       \      / \
	        7    8   9 ←
	       / \    \
	   →  17 30    10
	        
	*/
	tree.extremeNode()
}

Output

  1  3  4  9  17
// Include namespace system
using System;
using System.Collections.Generic;
// Csharp program for
// Print extreme nodes of each level of Binary Tree in alternate order
public class TreeNode
{
	// Data value
	public int data;
	// Indicates left and right subtree
	public TreeNode left;
	public TreeNode right;
	public TreeNode(int data)
	{
		this.data = data;
		this.left = null;
		this.right = null;
	}
}
public class BinaryTree
{
	public TreeNode root;
	public BinaryTree()
	{
		this.root = null;
	}
	public void findExtremeNode(TreeNode node, 
                                 Dictionary < int, int > record, 
                                 int level)
	{
		if (node != null)
		{
			if (!record.ContainsKey(level))
			{
				// Collect first node of level
				record.Add(level, node.data);
			}
			else if (level % 2 == 0)
			{
				// Update first node of level
				record[level] = node.data;
			}
			// Visit left subtree
			this.findExtremeNode(node.left, record, level + 1);
			// Visit right subtree
			this.findExtremeNode(node.right, record, level + 1);
		}
	}
	public void extremeNode()
	{
		if (this.root != null)
		{
			Dictionary < int, int > record = 
              new Dictionary < int, int > ();
			this.findExtremeNode(this.root, record, 1);
			int i = 1;
			int n = record.Count;
			// Display extreme nodes
			while (i <= n)
			{
				Console.Write("  " + record[i]);
				i++;
			}
		}
	}
	public static void Main(String[] args)
	{
		BinaryTree tree = new BinaryTree();
		/*  Binary Tree
		   -----------
		      1
		     /  \
		    2    3
		   /    /  \
		  4    5    6
		   \       / \
		    7     8   9
		   / \     \
		  17  30    10
		        
		*/
		// Binary tree nodes
		tree.root = new TreeNode(1);
		tree.root.left = new TreeNode(2);
		tree.root.right = new TreeNode(3);
		tree.root.right.right = new TreeNode(6);
		tree.root.right.right.right = new TreeNode(9);
		tree.root.right.left = new TreeNode(5);
		tree.root.left.left = new TreeNode(4);
		tree.root.left.left.right = new TreeNode(7);
		tree.root.right.right.left = new TreeNode(8);
		tree.root.left.left.right.left = new TreeNode(17);
		tree.root.left.left.right.right = new TreeNode(30);
		tree.root.right.right.left.right = new TreeNode(10);
		/* 
		    Extreme node of alternate level
		    -----------
		      →   1
		         /  \
		        2    3  ←
		       /    / \
		   →  4    5   6
		       \      / \
		        7    8   9 ←
		       / \    \
		   →  17 30    10
		        
		*/
		tree.extremeNode();
	}
}

Output

  1  3  4  9  17
<?php
// Php program for
// Print extreme nodes of each level of Binary Tree in alternate order
class TreeNode
{
	// Data value
	public $data;
	// Indicates left and right subtree
	public $left;
	public $right;
	public	function __construct($data)
	{
		$this->data = $data;
		$this->left = NULL;
		$this->right = NULL;
	}
}
class BinaryTree
{
	public $root;
	public	function __construct()
	{
		$this->root = NULL;
	}
	public	function findExtremeNode($node, &$record, $level)
	{
		if ($node != NULL)
		{
			if (!array_key_exists($level, $record))
			{
				// Collect first node of level
				$record[$level] = $node->data;
			}
			else if ($level % 2 == 0)
			{
				// Update first node of level
				$record[$level] = $node->data;
			}
			// Visit left subtree
			$this->findExtremeNode($node->left, $record, $level + 1);
			// Visit right subtree
			$this->findExtremeNode($node->right, $record, $level + 1);
		}
	}
	public	function extremeNode()
	{
		if ($this->root != NULL)
		{
			$record = array();
			$this->findExtremeNode($this->root, $record, 1);
			$i = 1;
			$n = count($record);
			// Display extreme nodes
			while ($i <= $n)
			{
				echo("  ".$record[$i]);
				$i++;
			}
		}
	}
}

function main()
{
	$tree = new BinaryTree();
	/*  Binary Tree
	   -----------
	      1
	     /  \
	    2    3
	   /    /  \
	  4    5    6
	   \       / \
	    7     8   9
	   / \     \
	  17  30    10
	        
	*/
	// Binary tree nodes
	$tree->root = new TreeNode(1);
	$tree->root->left = new TreeNode(2);
	$tree->root->right = new TreeNode(3);
	$tree->root->right->right = new TreeNode(6);
	$tree->root->right->right->right = new TreeNode(9);
	$tree->root->right->left = new TreeNode(5);
	$tree->root->left->left = new TreeNode(4);
	$tree->root->left->left->right = new TreeNode(7);
	$tree->root->right->right->left = new TreeNode(8);
	$tree->root->left->left->right->left = new TreeNode(17);
	$tree->root->left->left->right->right = new TreeNode(30);
	$tree->root->right->right->left->right = new TreeNode(10);
	/* 
	    Extreme node of alternate level
	    -----------
	      →   1
	         /  \
	        2    3  ←
	       /    / \
	   →  4    5   6
	       \      / \
	        7    8   9 ←
	       / \    \
	   →  17 30    10
	        
	*/
	$tree->extremeNode();
}
main();

Output

  1  3  4  9  17
// Node JS program for
// Print extreme nodes of each level of Binary Tree in alternate order
class TreeNode
{
	constructor(data)
	{
		this.data = data;
		this.left = null;
		this.right = null;
	}
}
class BinaryTree
{
	constructor()
	{
		this.root = null;
	}
	findExtremeNode(node, record, level)
	{
		if (node != null)
		{
			if (!record.has(level))
			{
				// Collect first node of level
				record.set(level, node.data);
			}
			else if (level % 2 == 0)
			{
				// Update first node of level
				record.set(level, node.data);
			}
			// Visit left subtree
			this.findExtremeNode(node.left, record, level + 1);
			// Visit right subtree
			this.findExtremeNode(node.right, record, level + 1);
		}
	}
	extremeNode()
	{
		if (this.root != null)
		{
			var record = new Map();
			this.findExtremeNode(this.root, record, 1);
			var i = 1;
			var n = record.size;
			// Display extreme nodes
			while (i <= n)
			{
				process.stdout.write("  " + record.get(i));
				i++;
			}
		}
	}
}

function main()
{
	var tree = new BinaryTree();
	/*  Binary Tree
	   -----------
	      1
	     /  \
	    2    3
	   /    /  \
	  4    5    6
	   \       / \
	    7     8   9
	   / \     \
	  17  30    10
	        
	*/
	// Binary tree nodes
	tree.root = new TreeNode(1);
	tree.root.left = new TreeNode(2);
	tree.root.right = new TreeNode(3);
	tree.root.right.right = new TreeNode(6);
	tree.root.right.right.right = new TreeNode(9);
	tree.root.right.left = new TreeNode(5);
	tree.root.left.left = new TreeNode(4);
	tree.root.left.left.right = new TreeNode(7);
	tree.root.right.right.left = new TreeNode(8);
	tree.root.left.left.right.left = new TreeNode(17);
	tree.root.left.left.right.right = new TreeNode(30);
	tree.root.right.right.left.right = new TreeNode(10);
	/* 
	    Extreme node of alternate level
	    -----------
	      →   1
	         /  \
	        2    3  ←
	       /    / \
	   →  4    5   6
	       \      / \
	        7    8   9 ←
	       / \    \
	   →  17 30    10
	        
	*/
	tree.extremeNode();
}
main();

Output

  1  3  4  9  17
#  Python 3 program for
#  Print extreme nodes of each level of Binary Tree in alternate order
class TreeNode :
	#  Data value
	#  Indicates left and right subtree
	def __init__(self, data) :
		self.data = data
		self.left = None
		self.right = None
	

class BinaryTree :
	def __init__(self) :
		self.root = None
	
	def findExtremeNode(self, node, record, level) :
		if (node != None) :
			if (not(level in record.keys())) :
				#  Collect first node of level
				record[level] = node.data
			elif (level % 2 == 0) :
				#  Update first node of level
				record[level] = node.data
			
			#  Visit left subtree
			self.findExtremeNode(node.left, record, level + 1)
			#  Visit right subtree
			self.findExtremeNode(node.right, record, level + 1)
		
	
	def extremeNode(self) :
		if (self.root != None) :
			record = dict()
			self.findExtremeNode(self.root, record, 1)
			i = 1
			n = len(record)
			#  Display extreme nodes
			while (i <= n) :
				print("  ", record.get(i), end = "")
				i += 1
			
		
	

def main() :
	tree = BinaryTree()
	#  Binary Tree
	#   -----------
	#      1
	#     /  \
	#    2    3
	#   /    /  \
	#  4    5    6
	#   \       / \
	#    7     8   9
	#   / \     \
	#  17  30    10
	#  Binary tree nodes
	tree.root = TreeNode(1)
	tree.root.left = TreeNode(2)
	tree.root.right = TreeNode(3)
	tree.root.right.right = TreeNode(6)
	tree.root.right.right.right = TreeNode(9)
	tree.root.right.left = TreeNode(5)
	tree.root.left.left = TreeNode(4)
	tree.root.left.left.right = TreeNode(7)
	tree.root.right.right.left = TreeNode(8)
	tree.root.left.left.right.left = TreeNode(17)
	tree.root.left.left.right.right = TreeNode(30)
	tree.root.right.right.left.right = TreeNode(10)
	#    Extreme node of alternate level
	#    -----------
	#      →   1
	#         /  \
	#        2    3  ←
	#       /    / \
	#   →  4    5   6
	#       \      / \
	#        7    8   9 ←
	#       / \    \
	#   →  17 30    10
	tree.extremeNode()

if __name__ == "__main__": main()

Output

   1   3   4   9   17
#  Ruby program for
#  Print extreme nodes of each level of Binary Tree in alternate order
class TreeNode 
	# Define the accessor and reader of class TreeNode
	attr_reader :data, :left, :right
	attr_accessor :data, :left, :right
	#  Data value
	#  Indicates left and right subtree
	def initialize(data) 
		self.data = data
		self.left = nil
		self.right = nil
	end

end

class BinaryTree 
	# Define the accessor and reader of class BinaryTree
	attr_reader :root
	attr_accessor :root
	def initialize() 
		self.root = nil
	end

	def findExtremeNode(node, record, level) 
		if (node != nil) 
			if (!record.key?(level)) 
				#  Collect first node of level
				record[level] = node.data
			elsif (level % 2 == 0) 
				#  Update first node of level
				record[level] = node.data
			end

			#  Visit left subtree
			self.findExtremeNode(node.left, record, level + 1)
			#  Visit right subtree
			self.findExtremeNode(node.right, record, level + 1)
		end

	end

	def extremeNode() 
		if (self.root != nil) 
			record = Hash.new()
			self.findExtremeNode(self.root, record, 1)
			i = 1
			n = record.size()
			#  Display extreme nodes
			while (i <= n) 
				print("  ", record[i])
				i += 1
			end

		end

	end

end

def main() 
	tree = BinaryTree.new()
	#  Binary Tree
	#   -----------
	#      1
	#     /  \
	#    2    3
	#   /    /  \
	#  4    5    6
	#   \       / \
	#    7     8   9
	#   / \     \
	#  17  30    10
	#  Binary tree nodes
	tree.root = TreeNode.new(1)
	tree.root.left = TreeNode.new(2)
	tree.root.right = TreeNode.new(3)
	tree.root.right.right = TreeNode.new(6)
	tree.root.right.right.right = TreeNode.new(9)
	tree.root.right.left = TreeNode.new(5)
	tree.root.left.left = TreeNode.new(4)
	tree.root.left.left.right = TreeNode.new(7)
	tree.root.right.right.left = TreeNode.new(8)
	tree.root.left.left.right.left = TreeNode.new(17)
	tree.root.left.left.right.right = TreeNode.new(30)
	tree.root.right.right.left.right = TreeNode.new(10)
	#    Extreme node of alternate level
	#    -----------
	#      →   1
	#         /  \
	#        2    3  ←
	#       /    / \
	#   →  4    5   6
	#       \      / \
	#        7    8   9 ←
	#       / \    \
	#   →  17 30    10
	tree.extremeNode()
end

main()

Output

  1  3  4  9  17
import scala.collection.mutable._;
// Scala program for
// Print extreme nodes of each level of Binary Tree in alternate order
class TreeNode(
	// Data value
	var data: Int,
		// Indicates left and right subtree
		var left: TreeNode,
			var right: TreeNode)
{
	def this(data: Int)
	{
		this(data, null, null);
	}
}
class BinaryTree(var root: TreeNode)
{
	def this()
	{
		this(null);
	}
	def findExtremeNode(node: TreeNode, 
                        record: HashMap[Int, Int], 
      level: Int): Unit = {
		if (node != null)
		{
			if (!record.contains(level))
			{
				// Collect first node of level
				record.addOne(level, node.data);
			}
			else if (level % 2 == 0)
			{
				// Update first node of level
				record.addOne(level, node.data);
			}
			// Visit left subtree
			findExtremeNode(node.left, record, level + 1);
			// Visit right subtree
			findExtremeNode(node.right, record, level + 1);
		}
	}
	def extremeNode(): Unit = {
		if (this.root != null)
		{
			var record: HashMap[Int, Int] = new HashMap[Int, Int]();
			findExtremeNode(this.root, record, 1);
			var i: Int = 1;
			var n: Int = record.size;
			// Display extreme nodes
			while (i <= n)
			{
				print("  " + record.get(i).get);
				i += 1;
			}
		}
	}
}
object Main
{
	def main(args: Array[String]): Unit = {
		var tree: BinaryTree = new BinaryTree();
		/*  Binary Tree
		   -----------
		      1
		     /  \
		    2    3
		   /    /  \
		  4    5    6
		   \       / \
		    7     8   9
		   / \     \
		  17  30    10
		        
		*/
		// Binary tree nodes
		tree.root = new TreeNode(1);
		tree.root.left = new TreeNode(2);
		tree.root.right = new TreeNode(3);
		tree.root.right.right = new TreeNode(6);
		tree.root.right.right.right = new TreeNode(9);
		tree.root.right.left = new TreeNode(5);
		tree.root.left.left = new TreeNode(4);
		tree.root.left.left.right = new TreeNode(7);
		tree.root.right.right.left = new TreeNode(8);
		tree.root.left.left.right.left = new TreeNode(17);
		tree.root.left.left.right.right = new TreeNode(30);
		tree.root.right.right.left.right = new TreeNode(10);
		/* 
		    Extreme node of alternate level
		    -----------
		      →   1
		         /  \
		        2    3  ←
		       /    / \
		   →  4    5   6
		       \      / \
		        7    8   9 ←
		       / \    \
		   →  17 30    10
		        
		*/
		tree.extremeNode();
	}
}

Output

  1  3  4  9  17
import Foundation;
// Swift 4 program for
// Print extreme nodes of each level of Binary Tree in alternate order
class TreeNode
{
	// Data value
	var data: Int;
	// Indicates left and right subtree
	var left: TreeNode? ;
	var right: TreeNode? ;
	init(_ data: Int)
	{
		self.data = data;
		self.left = nil;
		self.right = nil;
	}
}
class BinaryTree
{
	var root: TreeNode? ;
	init()
	{
		self.root = nil;
	}
	func findExtremeNode(_ node: TreeNode? , 
                         _ record : inout[Int : Int], _ level: Int)
	{
		if (node  != nil)
		{
			if (!record.keys.contains(level))
			{
				// Collect first node of level
				record[level] = node!.data;
			}
			else if (level % 2 == 0)
			{
				// Update first node of level
				record[level] = node!.data;
			}
			// Visit left subtree
			self.findExtremeNode(node!.left, &record, level + 1);
			// Visit right subtree
			self.findExtremeNode(node!.right, &record, level + 1);
		}
	}
	func extremeNode()
	{
		if (self.root  != nil)
		{
			var record: [Int : Int] = [Int : Int]();
			self.findExtremeNode(self.root, &record, 1);
			var i: Int = 1;
			let n: Int = record.count;
			// Display extreme nodes
			while (i <= n)
			{
				print("  ", record[i]!, terminator: "");
				i += 1;
			}
		}
	}
}
func main()
{
	let tree: BinaryTree = BinaryTree();
	/*  Binary Tree
	   -----------
	      1
	     /  \
	    2    3
	   /    /  \
	  4    5    6
	   \       / \
	    7     8   9
	   / \     \
	  17  30    10
	        
	*/
	// Binary tree nodes
	tree.root = TreeNode(1);
	tree.root!.left = TreeNode(2);
	tree.root!.right = TreeNode(3);
	tree.root!.right!.right = TreeNode(6);
	tree.root!.right!.right!.right = TreeNode(9);
	tree.root!.right!.left = TreeNode(5);
	tree.root!.left!.left = TreeNode(4);
	tree.root!.left!.left!.right = TreeNode(7);
	tree.root!.right!.right!.left = TreeNode(8);
	tree.root!.left!.left!.right!.left = TreeNode(17);
	tree.root!.left!.left!.right!.right = TreeNode(30);
	tree.root!.right!.right!.left!.right = TreeNode(10);
	/* 
	    Extreme node of alternate level
	    -----------
	      →   1
	         /  \
	        2    3  ←
	       /    / \
	   →  4    5   6
	       \      / \
	        7    8   9 ←
	       / \    \
	   →  17 30    10
	        
	*/
	tree.extremeNode();
}
main();

Output

   1   3   4   9   17
// Kotlin program for
// Print extreme nodes of each level of Binary Tree in alternate order
class TreeNode
{
	// Data value
	var data: Int;
	// Indicates left and right subtree
	var left: TreeNode ? ;
	var right: TreeNode ? ;
	constructor(data: Int)
	{
		this.data = data;
		this.left = null;
		this.right = null;
	}
}
class BinaryTree
{
	var root: TreeNode ? ;
	constructor()
	{
		this.root = null;
	}
	fun findExtremeNode(node: TreeNode ? , 
                        record : HashMap < Int, Int > , level : Int): Unit
	{
		if (node != null)
		{
			if (!record.containsKey(level))
			{
				// Collect first node of level
				record.put(level, node.data);
			}
			else if (level % 2 == 0)
			{
				// Update first node of level
				record.put(level, node.data);
			}
			// Visit left subtree
			this.findExtremeNode(node.left, record, level + 1);
			// Visit right subtree
			this.findExtremeNode(node.right, record, level + 1);
		}
	}
	fun extremeNode(): Unit
	{
		if (this.root != null)
		{
			val record: HashMap < Int, Int > = HashMap < Int, Int > ();
			this.findExtremeNode(this.root, record, 1);
			var i: Int = 1;
			val n: Int = record.count();
			// Display extreme nodes
			while (i <= n)
			{
				print("  " + record.getValue(i));
				i += 1;
			}
		}
	}
}
fun main(args: Array < String > ): Unit
{
	val tree: BinaryTree = BinaryTree();
	/*  Binary Tree
	   -----------
	      1
	     /  \
	    2    3
	   /    /  \
	  4    5    6
	   \       / \
	    7     8   9
	   / \     \
	  17  30    10
	        
	*/
	// Binary tree nodes
	tree.root = TreeNode(1);
	tree.root?.left = TreeNode(2);
	tree.root?.right = TreeNode(3);
	tree.root?.right?.right = TreeNode(6);
	tree.root?.right?.right?.right = TreeNode(9);
	tree.root?.right?.left = TreeNode(5);
	tree.root?.left?.left = TreeNode(4);
	tree.root?.left?.left?.right = TreeNode(7);
	tree.root?.right?.right?.left = TreeNode(8);
	tree.root?.left?.left?.right?.left = TreeNode(17);
	tree.root?.left?.left?.right?.right = TreeNode(30);
	tree.root?.right?.right?.left?.right = TreeNode(10);
	/* 
	    Extreme node of alternate level
	    -----------
	      →   1
	         /  \
	        2    3  ←
	       /    / \
	   →  4    5   6
	       \      / \
	        7    8   9 ←
	       / \    \
	   →  17 30    10
	        
	*/
	tree.extremeNode();
}

Output

  1  3  4  9  17



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