K dimensional tree insertion

Here given code implementation process.

// C program for
// K dimensional tree insertion
#include <stdio.h>

#include <stdlib.h>

// Define tree node
struct TreeNode
{
    int *keys;
    struct TreeNode *left;
    struct TreeNode *right;
};
struct KTree
{
    int k;
    struct TreeNode *root;
};
// Returns the new K Dimensional Tree
struct KTree *createTree(int k)
{
    struct KTree *tree = (struct KTree *) malloc(sizeof(struct KTree));
    if (tree != NULL)
    {
        tree->k = k;
        tree->root = NULL;
    }
    else
    {
        printf("\n Memory Overflow when create new Tree");
    }
}
// Creating and returning new node of tree
struct TreeNode *createNode(int data[], int k)
{
    struct TreeNode *node = (struct TreeNode *) malloc(sizeof(struct TreeNode));
    if (node != NULL)
    {
        // Create memory of node key
        node->keys = (int *) malloc((sizeof(int)) *(2));
        node->left = NULL;
        node->right = NULL;
        for (int i = 0; i < k; i++)
        {
            node->keys[i] = data[i];
        }
    }
    else
    {
        printf("\n Memory Overflow when create new node Tree");
    }
    return node;
}
// Handles the request to add new node in Tree
void insert(struct KTree *tree, int data[])
{
    if (tree->root == NULL)
    {
        // When add first node of tree
        tree->root = createNode(data, tree->k);
    }
    else
    {
        struct TreeNode *auxiliary = tree->root;
        int depth = 0;
        int axis = 0;
        // Add new node in tree
        while (auxiliary != NULL)
        {
            axis = depth % tree->k;
            if (auxiliary->keys[axis] > data[axis])
            {
                if (auxiliary->left == NULL)
                {
                    // Add new node
                    auxiliary->left = createNode(data, tree->k);
                    // break the loop
                    auxiliary = NULL;
                }
                else
                {
                    // visit left subtree
                    auxiliary = auxiliary->left;
                }
            }
            else
            {
                if (auxiliary->right == NULL)
                {
                    // Add new node
                    auxiliary->right = createNode(data, tree->k);
                    // break the loop
                    auxiliary = NULL;
                }
                else
                {
                    // visit right subtree
                    auxiliary = auxiliary->right;
                }
            }
            depth++;
        }
    }
}
//  Print the all key of a given node
void printData(int data[], int k)
{
    printf(" (");
    for (int i = 0; i < k; ++i)
    {
        if (i > 0)
        {
            printf(" , %d", data[i]);
        }
        else
        {
            printf(" %d", data[i]);
        }
    }
    printf(")\n");
}
// Display tree node
void printTree(struct TreeNode *node, int k)
{
    if (node != NULL)
    {
        printTree(node->left, k);
        printData(node->keys, k);
        printTree(node->right, k);
    }
}
// Compare node and given point
int isEquals(int node[], int point[], int k)
{
    for (int i = 0; i < k; ++i)
    {
        if (node[i] != point[i])
        {
            return 0;
        }
    }
    //  When both are same
    return 1;
}
// Check if given point exists in tree or not
void search(struct KTree *tree, int point[])
{
    if (tree->root != NULL)
    {
        struct TreeNode *auxiliary = tree->root;
        int depth = 0;
        int axis = 0;
        int result = 0;
        // Find node point
        while (auxiliary != NULL && result == 0)
        {
            axis = depth % tree->k;
            if (isEquals(auxiliary->keys, point, tree->k) == 1)
            {
                // When get resultant node
                result = 1;
                auxiliary = NULL;
            }
            else if (auxiliary->keys[axis] > point[axis])
            {
                // visit left subtree
                auxiliary = auxiliary->left;
            }
            else
            {
                // visit right subtree
                auxiliary = auxiliary->right;
            }
            depth++;
        }
        printf("\n Given point : ");
        printData(point, tree->k);
        if (result == 1)
        {
            printf(" Found \n");
        }
        else
        {
            printf(" Not Found \n");
        }
    }
    else
    {
        printf("\n Empty Tree");
    }
}
int main(int argc, char const *argv[])
{
    // Number of Dimensions
    int k = 2;
    struct KTree *tree = createTree(k);
    // 2d points
    int data[][2] = {
        {
            8 , 2
        },
        {
            7 , 4
        },
        {
            3 , 5
        },
        {
            11, 2
        },
        {
            5 , 8
        },
        {
            9 , 4
        },
        {
            2 , 3
        }
    };

    // Get the number of elements
    int n = sizeof(data) / sizeof(data[0]);
    // Insert all given nodes
    for (int i = 0; i < n; ++i)
    {
        insert(tree, data[i]);
    }
    printf("\n Tree Nodes\n");
    /*
        (8,2)
        /    \
      (7,4)  (11,2)     
      /   \     \
    (2,3) (3,5)  (9,4)
            \
             (5,8)          
    -----------------
    Developed tree
    */
    // Print  tree elements in inorder  form
    printTree(tree->root, tree->k);

    // Search nodes
    int point1[] = {
        8 , 1
    };
    int point2[] = {
        5 , 8
    };
    int point3[] = {
        5 , 4
    };
    // Test case for find nodes
    search(tree, point1);
    search(tree, point2);
    search(tree, point3);
    return 0;
}

Output

 Tree Nodes
 ( 2 , 3)
 ( 7 , 4)
 ( 3 , 5)
 ( 5 , 8)
 ( 8 , 2)
 ( 11 , 2)
 ( 9 , 4)

 Given point :  ( 8 , 1)
 Not Found

 Given point :  ( 5 , 8)
 Found

 Given point :  ( 5 , 4)
 Not Found
// Java Program 
// K dimensional tree insertion


// Define tree node
class TreeNode
{
    public int []keys;
    public TreeNode left;
    public TreeNode right;
    public TreeNode(int[] data,int k)
    {
        this.keys = new int[k];
        this.left = null;
        this.right = null;

        for (int i = 0; i < k; ++i)
        {
            this.keys[i] = data[i];
        }
   }
}
public class KTree
{
    public int k;

    public TreeNode root;

    public KTree(int k)
    {
        this.k = k;
        this.root = null;
    }

    // Handles the request to add new node in Tree
    public void insert(int[] data)
    {
        if (this.root == null)
        {
            // When add first node of tree
            this.root = new TreeNode(data, this.k);
        }
        else
        {
            TreeNode auxiliary = this.root;
            int depth = 0;
            int axis = 0;
            // Add new node in tree
            while (auxiliary != null)
            {
                axis = depth % this.k;
                if (auxiliary.keys[axis] > data[axis])
                {
                    if (auxiliary.left == null)
                    {
                        // Add new node
                        auxiliary.left = new TreeNode(data, this.k);
                        // break the loop
                        auxiliary = null;
                    }
                    else
                    {
                        // visit left subtree
                        auxiliary = auxiliary.left;
                    }
                }
                else
                {
                    if (auxiliary.right == null)
                    {
                        // Add new node
                        auxiliary.right = new TreeNode(data, this.k);
                        // break the loop
                        auxiliary = null;
                    }
                    else
                    {
                        // visit right subtree
                        auxiliary = auxiliary.right;
                    }
                }
                depth++;
            }
        }
    }
    //  Print the all key of a given node
    public void printData(int[] data)
    {
        System.out.print(" (");
        for (int i = 0; i < this.k; ++i)
        {
            if (i > 0)
            {
                System.out.print(" , " + data[i] );
            }
            else
            {
                System.out.print(" " + data[i] );
            }
        }
        System.out.print(")\n");
    }
    // Display tree node
    public void printTree(TreeNode node)
    {
        if (node != null)
        {
            printTree(node.left);
            printData(node.keys);
            printTree(node.right);
        }
    }
    // Compare node and given point
    public boolean isEquals(int[] node, int[] point)
    {
        for (int i = 0; i < this.k; ++i)
        {
            if (node[i] != point[i])
            {
                return false;
            }
        }
        //  When both are same
        return true;
    }
    // Check if given point exists in tree or not
    public void search(int[] point)
    {
        if (this.root != null)
        {
            TreeNode auxiliary = this.root;
            int depth = 0;
            int axis = 0;
            boolean result = false;
            // Find node point
            while (auxiliary != null && result == false)
            {
                axis = depth % this.k;
                if (isEquals(auxiliary.keys, point) == true)
                {
                    // When get resultant node
                    result = true;
                    auxiliary = null;
                }
                else if (auxiliary.keys[axis] > point[axis])
                {
                    // visit left subtree
                    auxiliary = auxiliary.left;
                }
                else
                {
                    // visit right subtree
                    auxiliary = auxiliary.right;
                }
                depth++;
            }
            System.out.print("\n Given point : ");
            printData(point);
            if (result == true)
            {
                System.out.print(" Found \n");
            }
            else
            {
                System.out.print(" Not Found \n");
            }
        }
        else
        {
            System.out.print("\n Empty Tree");
        }
    }
    public static void main(String[] args)
    {   
        int k = 2;
        KTree tree = new KTree(2);

        // 2d points
        int[][] data = {
            {
                8 , 2
            } , 
            {
                7 , 4
            } , 
            {
                3 , 5
            } , 
            {
                11 , 2
            } , 
            {
                5 , 8
            } , 
            {
                9 , 4
            } , 
            {
                2 , 3
            }
        };
        // Get the number of elements
        int n = data.length;
        // Insert all given nodes
        for (int i = 0; i < n; ++i)
        {
            tree.insert(data[i]);
        }
        System.out.print("\n Tree Nodes\n");
        /*
            (8,2)
            /    \
          (7,4)  (11,2)     
          /   \     \
        (2,3) (3,5)  (9,4)
                \
                 (5,8)          
        -----------------
        Developed tree
        */
        // Print  tree elements in inorder  form
        tree.printTree(tree.root);
        // Search nodes
        int[] point1 = {
            8 , 1
        };
        int[] point2 = {
            5 , 8
        };
        int[] point3 = {
            5 , 4
        };
        // Test case for find nodes
        tree.search(point1);
        tree.search(point2);
        tree.search(point3);

        }
    }

Output

 Tree Nodes
 ( 2 , 3)
 ( 7 , 4)
 ( 3 , 5)
 ( 5 , 8)
 ( 8 , 2)
 ( 11 , 2)
 ( 9 , 4)

 Given point :  ( 8 , 1)
 Not Found

 Given point :  ( 5 , 8)
 Found

 Given point :  ( 5 , 4)
 Not Found
// Include header file
#include <iostream>
using namespace std;
// C++ Program
// K dimensional tree insertion

// Define tree node
class TreeNode
{
	public: 
    int *keys;
	TreeNode *left;
	TreeNode *right;
	TreeNode(int data[], int k)
	{
		this->keys = new int[k];
		this->left = NULL;
		this->right = NULL;
		for (int i = 0; i < k; ++i)
		{
			this->keys[i] = data[i];
		}
	}
};
class KTree
{
	public: 
    int k;
	TreeNode *root;
	KTree(int k)
	{
		this->k = k;
		this->root = NULL;
	}
	// Handles the request to add new node in Tree
	void insert(int data[])
	{
		if (this->root == NULL)
		{
			// When add first node of tree
			this->root = new TreeNode(data, this->k);
		}
		else
		{
			TreeNode *auxiliary = this->root;
			int depth = 0;
			int axis = 0;
			// Add new node in tree
			while (auxiliary != NULL)
			{
				axis = depth % this->k;
				if (auxiliary->keys[axis] > data[axis])
				{
					if (auxiliary->left == NULL)
					{
						// Add new node
						auxiliary->left = new TreeNode(data, this->k);
						// break the loop
						auxiliary = NULL;
					}
					else
					{
						// visit left subtree
						auxiliary = auxiliary->left;
					}
				}
				else
				{
					if (auxiliary->right == NULL)
					{
						// Add new node
						auxiliary->right = new TreeNode(data, this->k);
						// break the loop
						auxiliary = NULL;
					}
					else
					{
						// visit right subtree
						auxiliary = auxiliary->right;
					}
				}
				depth++;
			}
		}
	}
	//  Print the all key of a given node
	void printData(int data[])
	{
		cout << " (";
		for (int i = 0; i < this->k; ++i)
		{
			if (i > 0)
			{
				cout << " , " << data[i];
			}
			else
			{
				cout << " " << data[i];
			}
		}
		cout << ")\n";
	}
	// Display tree node
	void printTree(TreeNode *node)
	{
		if (node != NULL)
		{
			this->printTree(node->left);
			this->printData(node->keys);
			this->printTree(node->right);
		}
	}
	// Compare node and given point
	bool isEquals(int node[], int point[])
	{
		//  When both are same
		for (int i = 0; i < this->k; ++i)
		{
			if (node[i] != point[i])
			{
				return false;
			}
		}
		return true;
	}
	// Check if given point exists in tree or not
	void search(int point[])
	{
		if (this->root != NULL)
		{
			TreeNode *auxiliary = this->root;
			int depth = 0;
			int axis = 0;
			bool result = false;
			// Find node point
			while (auxiliary != NULL && result == false)
			{
				axis = depth % this->k;
				if (this->isEquals(auxiliary->keys, point) == true)
				{
					// When get resultant node
					result = true;
					auxiliary = NULL;
				}
				else if (auxiliary->keys[axis] > point[axis])
				{
					// visit left subtree
					auxiliary = auxiliary->left;
				}
				else
				{
					// visit right subtree
					auxiliary = auxiliary->right;
				}
				depth++;
			}
			cout << "\n Given point : ";
			this->printData(point);
			if (result == true)
			{
				cout << " Found \n";
			}
			else
			{
				cout << " Not Found \n";
			}
		}
		else
		{
			cout << "\n Empty Tree";
		}
	}
};
int main()
{
	int k = 2;
	KTree tree = KTree(2);
	// 2d points
	int data[][2] = {
		{
			8 , 2
		} , 
		{
			7 , 4
		} , 
		{
			3 , 5
		} , 
		{
			11 , 2
		} , 
		{
			5 , 8
		} , 
		{
			9 , 4
		} , 
		{
			2 , 3
		}
	};
	// Get the number of elements
	int n = sizeof(data) / sizeof(data[0]);
	// Insert all given nodes
	for (int i = 0; i < n; ++i)
	{
		tree.insert(data[i]);
	}
	cout << "\n Tree Nodes\n";
	/*
        (8,2)
        /    \
      (7,4)  (11,2)     
      /   \     \
    (2,3) (3,5)  (9,4)
            \
             (5,8)          
    -----------------
    Developed tree
    */
	// Print  tree elements in inorder  form
	tree.printTree(tree.root);
	// Search nodes
	int point1[] = {
		8 , 1
	};
	int point2[] = {
		5 , 8
	};
	int point3[] = {
		5 , 4
	};
	// Test case for find nodes
	tree.search(point1);
	tree.search(point2);
	tree.search(point3);
	return 0;
}

Output

 Tree Nodes
 ( 2 , 3)
 ( 7 , 4)
 ( 3 , 5)
 ( 5 , 8)
 ( 8 , 2)
 ( 11 , 2)
 ( 9 , 4)

 Given point :  ( 8 , 1)
 Not Found

 Given point :  ( 5 , 8)
 Found

 Given point :  ( 5 , 4)
 Not Found
<?php
// Php Program
// K dimensional tree insertion

// Define tree node
class TreeNode
{
	public $keys;
	public $left;
	public $right;

	function __construct($data, $k)
	{
		$this->keys = array_fill(0, $k, 0);
		$this->left = null;
		$this->right = null;
		for ($i = 0; $i < $k; ++$i)
		{
			$this->keys[$i] = $data[$i];
		}
	}
}
class KTree
{
	public $k;
	public $root;

	function __construct($k)
	{
		$this->k = $k;
		$this->root = null;
	}
	// Handles the request to add new node in Tree
	public	function insert($data)
	{
		if ($this->root == null)
		{
			// When add first node of tree
			$this->root = new TreeNode($data, $this->k);
		}
		else
		{
			$auxiliary = $this->root;
			$depth = 0;
			$axis = 0;
			// Add new node in tree
			while ($auxiliary != null)
			{
				$axis = $depth % $this->k;
				if ($auxiliary->keys[$axis] > $data[$axis])
				{
					if ($auxiliary->left == null)
					{
						// Add new node
						$auxiliary->left = new TreeNode($data, $this->k);
						// break the loop
						$auxiliary = null;
					}
					else
					{
						// visit left subtree
						$auxiliary = $auxiliary->left;
					}
				}
				else
				{
					if ($auxiliary->right == null)
					{
						// Add new node
						$auxiliary->right = new TreeNode($data, $this->k);
						// break the loop
						$auxiliary = null;
					}
					else
					{
						// visit right subtree
						$auxiliary = $auxiliary->right;
					}
				}
				$depth++;
			}
		}
	}
	//  Print the all key of a given node
	public	function printData( $data)
	{
		echo " (";
		for ($i = 0; $i < $this->k; ++$i)
		{
			if ($i > 0)
			{
				echo " , ". $data[$i];
			}
			else
			{
				echo " ". $data[$i];
			}
		}
		echo ")\n";
	}
	// Display tree node
	public	function printTree($node)
	{
		if ($node != null)
		{
			$this->printTree($node->left);
			$this->printData($node->keys);
			$this->printTree($node->right);
		}
	}
	// Compare node and given point
	public	function isEquals( $node, $point)
	{
		//  When both are same
		for ($i = 0; $i < $this->k; ++$i)
		{
			if ($node[$i] != $point[$i])
			{
				return false;
			}
		}
		return true;
	}
	// Check if given point exists in tree or not
	public	function search( $point)
	{
		if ($this->root != null)
		{
			$auxiliary = $this->root;
			$depth = 0;
			$axis = 0;
			$result = false;
			// Find node point
			while ($auxiliary != null && $result == false)
			{
				$axis = $depth % $this->k;
				if ($this->isEquals($auxiliary->keys, $point) == true)
				{
					// When get resultant node
					$result = true;
					$auxiliary = null;
				}
				else if ($auxiliary->keys[$axis] > $point[$axis])
				{
					// visit left subtree
					$auxiliary = $auxiliary->left;
				}
				else
				{
					// visit right subtree
					$auxiliary = $auxiliary->right;
				}
				$depth++;
			}
			echo "\n Given point : ";
			$this->printData($point);
			if ($result == true)
			{
				echo " Found \n";
			}
			else
			{
				echo " Not Found \n";
			}
		}
		else
		{
			echo "\n Empty Tree";
		}
	}
}

function main()
{
	$k = 2;
	$tree = new KTree($k);
	// 2d points
	$data = array(
      array(8, 2), 
      array(7, 4), 
      array(3, 5), 
      array(11, 2), 
      array(5, 8), 
      array(9, 4), 
      array(2, 3)
    );
	// Get the number of elements
	$n = count($data);
	// Insert all given nodes
	for ($i = 0; $i < $n; ++$i)
	{
		$tree->insert($data[$i]);
	}
	echo "\n Tree Nodes\n";
	$tree->printTree($tree->root);
	// Search nodes
	$point1 = array(8, 1);
	$point2 = array(5, 8);
	$point3 = array(5, 4);
	$tree->search($point1);
	$tree->search($point2);
	$tree->search($point3);
}
main();

Output

 Tree Nodes
 ( 2 , 3)
 ( 7 , 4)
 ( 3 , 5)
 ( 5 , 8)
 ( 8 , 2)
 ( 11 , 2)
 ( 9 , 4)

 Given point :  ( 8 , 1)
 Not Found

 Given point :  ( 5 , 8)
 Found

 Given point :  ( 5 , 4)
 Not Found
// Node Js Program
// K dimensional tree insertion

// Define tree node
class TreeNode
{
	constructor(data, k)
	{
		this.keys = Array(k).fill(0);
		this.left = null;
		this.right = null;
		for (var i = 0; i < k; ++i)
		{
			this.keys[i] = data[i];
		}
	}
}
class KTree
{
	constructor(k)
	{
		this.k = k;
		this.root = null;
	}
	// Handles the request to add new node in Tree
	insert(data)
	{
		if (this.root == null)
		{
			// When add first node of tree
			this.root = new TreeNode(data, this.k);
		}
		else
		{
			var auxiliary = this.root;
			var depth = 0;
			var axis = 0;
			// Add new node in tree
			while (auxiliary != null)
			{
				axis = depth % this.k;
				if (auxiliary.keys[axis] > data[axis])
				{
					if (auxiliary.left == null)
					{
						// Add new node
						auxiliary.left = new TreeNode(data, this.k);
						// break the loop
						auxiliary = null;
					}
					else
					{
						// visit left subtree
						auxiliary = auxiliary.left;
					}
				}
				else
				{
					if (auxiliary.right == null)
					{
						// Add new node
						auxiliary.right = new TreeNode(data, this.k);
						// break the loop
						auxiliary = null;
					}
					else
					{
						// visit right subtree
						auxiliary = auxiliary.right;
					}
				}
				depth++;
			}
		}
	}
	//  Print the all key of a given node
	printData(data)
	{
		process.stdout.write(" (");
		for (var i = 0; i < this.k; ++i)
		{
			if (i > 0)
			{
				process.stdout.write(" , " + data[i]);
			}
			else
			{
				process.stdout.write(" " + data[i]);
			}
		}
		process.stdout.write(")\n");
	}
	// Display tree node
	printTree(node)
	{
		if (node != null)
		{
			this.printTree(node.left);
			this.printData(node.keys);
			this.printTree(node.right);
		}
	}
	// Compare node and given point
	isEquals(node, point)
	{
		//  When both are same
		for (var i = 0; i < this.k; ++i)
		{
			if (node[i] != point[i])
			{
				return false;
			}
		}
		return true;
	}
	// Check if given point exists in tree or not
	search(point)
	{
		if (this.root != null)
		{
			var auxiliary = this.root;
			var depth = 0;
			var axis = 0;
			var result = false;
			// Find node point
			while (auxiliary != null && result == false)
			{
				axis = depth % this.k;
				if (this.isEquals(auxiliary.keys, point) == true)
				{
					// When get resultant node
					result = true;
					auxiliary = null;
				}
				else if (auxiliary.keys[axis] > point[axis])
				{
					// visit left subtree
					auxiliary = auxiliary.left;
				}
				else
				{
					// visit right subtree
					auxiliary = auxiliary.right;
				}
				depth++;
			}
			process.stdout.write("\n Given point : ");
			this.printData(point);
			if (result == true)
			{
				process.stdout.write(" Found \n");
			}
			else
			{
				process.stdout.write(" Not Found \n");
			}
		}
		else
		{
			process.stdout.write("\n Empty Tree");
		}
	}
}

function main()
{
	var k = 2;
	var tree = new KTree(k);
	// 2d points
	var data = [
		[8, 2] , [7, 4] , [3, 5] , 
      	[11, 2] , 
        [5, 8] , [9, 4] , [2, 3]
	];
	// Get the number of elements
	var n = data.length;
	// Insert all given nodes
	for (var i = 0; i < n; ++i)
	{
		tree.insert(data[i]);
	}
	process.stdout.write("\n Tree Nodes\n");
	/*
	            (8,2)
	            /    \
	          (7,4)  (11,2)     
	          /   \     \
	        (2,3) (3,5)  (9,4)
	                \
	                 (5,8)          
	        -----------------
	        Developed tree
	        */
	// Print  tree elements in inorder  form
	tree.printTree(tree.root);
	// Search nodes
	var point1 = [8, 1];
	var point2 = [5, 8];
	var point3 = [5, 4];
	// Test case for find nodes
	tree.search(point1);
	tree.search(point2);
	tree.search(point3);
}
main();

Output

 Tree Nodes
 ( 2 , 3)
 ( 7 , 4)
 ( 3 , 5)
 ( 5 , 8)
 ( 8 , 2)
 ( 11 , 2)
 ( 9 , 4)

 Given point :  ( 8 , 1)
 Not Found

 Given point :  ( 5 , 8)
 Found

 Given point :  ( 5 , 4)
 Not Found
#  Python 3 Program
#  K dimensional tree insertion

#  Define tree node
class TreeNode :
	
	def __init__(self, data, k) :
		self.keys = [0] * (k)
		self.left = None
		self.right = None
		i = 0
		while (i < k) :
			self.keys[i] = data[i]
			i += 1

class KTree :
	
	def __init__(self, k) :
		self.k = k
		self.root = None
	
	#  Handles the request to add new node in Tree
	def insert(self, data) :
		if (self.root == None) :
			#  When add first node of tree
			self.root = TreeNode(data, self.k)
		else :
			auxiliary = self.root
			depth = 0
			axis = 0
			#  Add new node in tree
			while (auxiliary != None) :
				axis = depth % self.k
				if (auxiliary.keys[axis] > data[axis]) :
					if (auxiliary.left == None) :
						#  Add new node
						auxiliary.left = TreeNode(data, self.k)
						#  break the loop
						auxiliary = None
					else :
						#  visit left subtree
						auxiliary = auxiliary.left
					
				else :
					if (auxiliary.right == None) :
						#  Add new node
						auxiliary.right = TreeNode(data, self.k)
						#  break the loop
						auxiliary = None
					else :
						#  visit right subtree
						auxiliary = auxiliary.right
					
				
				depth += 1
			
		
	
	#   Print the all key of a given node
	def printData(self, data) :
		print(" (", end = "")
		i = 0
		while (i < self.k) :
			if (i > 0) :
				print(" , ", data[i], end = "")
			else :
				print(" ", data[i], end = "")
			
			i += 1
		
		print(")")
	
	#  Display tree node
	def printTree(self, node) :
		if (node != None) :
			self.printTree(node.left)
			self.printData(node.keys)
			self.printTree(node.right)
		
	
	#  Compare node and given point
	def isEquals(self, node, point) :
		#   When both are same
		i = 0
		while (i < self.k) :
			if (node[i] != point[i]) :
				return False
			
			i += 1
		
		return True
	
	#  Check if given point exists in tree or not
	def search(self, point) :
		if (self.root != None) :
			auxiliary = self.root
			depth = 0
			axis = 0
			result = False
			#  Find node point
			while (auxiliary != None and result == False) :
				axis = depth % self.k
				if (self.isEquals(auxiliary.keys, point) == True) :
					#  When get resultant node
					result = True
					auxiliary = None
				
				elif(auxiliary.keys[axis] > point[axis]) :
					#  visit left subtree
					auxiliary = auxiliary.left
				else :
					#  visit right subtree
					auxiliary = auxiliary.right
				
				depth += 1
			
			print("\n Given point : ", end = "")
			self.printData(point)
			if (result == True) :
				print(" Found ")
			else :
				print(" Not Found ")
			
		else :
			print("\n Empty Tree", end = "")
		
	

def main() :
	k = 2
	tree = KTree(k)
	#  2d points
	data = [
		[8, 2] , [7, 4] , [3, 5] , [11, 2] , 
      	[5, 8] , [9, 4] , [2, 3]
	]
	#  Get the number of elements
	n = len(data)
	#  Insert all given nodes
	i = 0
	while (i < n) :
		tree.insert(data[i])
		i += 1
	
	print("\n Tree Nodes")
	# 
	#            (8,2)
	#            /    \
	#          (7,4)  (11,2)     
	#          /   \     \
	#        (2,3) (3,5)  (9,4)
	#                \
	#                 (5,8)          
	#        -----------------
	#        Developed tree
	
	#  Print  tree elements in inorder  form
	tree.printTree(tree.root)
	#  Search nodes
	point1 = [8, 1]
	point2 = [5, 8]
	point3 = [5, 4]
	#  Test case for find nodes
	tree.search(point1)
	tree.search(point2)
	tree.search(point3)

if __name__ == "__main__": main()

Output

 Tree Nodes
 (  2 ,  3)
 (  7 ,  4)
 (  3 ,  5)
 (  5 ,  8)
 (  8 ,  2)
 (  11 ,  2)
 (  9 ,  4)

 Given point :  (  8 ,  1)
 Not Found

 Given point :  (  5 ,  8)
 Found

 Given point :  (  5 ,  4)
 Not Found
#  Ruby Program
#  K dimensional tree insertion

#  Define tree node
class TreeNode  
	# Define the accessor and reader of class TreeNode  
	attr_reader :keys, :left, :right
	attr_accessor :keys, :left, :right
 
	
	def initialize(data, k) 
		self.keys = Array.new(k) {0}
		self.left = nil
		self.right = nil
		i = 0
		while (i < k) 
			self.keys[i] = data[i]
			i += 1
		end
	end
end

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

	#  Handles the request to add new node in Tree
	def insert(data) 
		if (self.root == nil) 
			#  When add first node of tree
			self.root = TreeNode.new(data, self.k)
		else 
			auxiliary = self.root
			depth = 0
			axis = 0
			#  Add new node in tree
			while (auxiliary != nil) 
				axis = depth % self.k
				if (auxiliary.keys[axis] > data[axis]) 
					if (auxiliary.left == nil) 
						#  Add new node
						auxiliary.left = TreeNode.new(data, self.k)
						#  break the loop
						auxiliary = nil
					else 
						#  visit left subtree
						auxiliary = auxiliary.left
					end

				else 
					if (auxiliary.right == nil) 
						#  Add new node
						auxiliary.right = TreeNode.new(data, self.k)
						#  break the loop
						auxiliary = nil
					else 
						#  visit right subtree
						auxiliary = auxiliary.right
					end

				end

				depth += 1
			end

		end

	end

	#   Print the all key of a given node
	def printData(data) 
		print(" (")
		i = 0
		while (i < self.k) 
			if (i > 0) 
				print(" , ", data[i])
			else 
				print(" ", data[i])
			end

			i += 1
		end

		print(")\n")
	end

	#  Display tree node
	def printTree(node) 
		if (node != nil) 
			self.printTree(node.left)
			self.printData(node.keys)
			self.printTree(node.right)
		end

	end

	#  Compare node and given point
	def isEquals(node, point) 
		#   When both are same
		i = 0
		while (i < self.k) 
			if (node[i] != point[i]) 
				return false
			end

			i += 1
		end

		return true
	end

	#  Check if given point exists in tree or not
	def search(point) 
		if (self.root != nil) 
			auxiliary = self.root
			depth = 0
			axis = 0
			result = false
			#  Find node point
			while (auxiliary != nil && result == false) 
				axis = depth % self.k
				if (self.isEquals(auxiliary.keys, point) == true) 
					#  When get resultant node
					result = true
					auxiliary = nil
				elsif(auxiliary.keys[axis] > point[axis]) 
					#  visit left subtree
					auxiliary = auxiliary.left
				else 
					#  visit right subtree
					auxiliary = auxiliary.right
				end

				depth += 1
			end

			print("\n Given point : ")
			self.printData(point)
			if (result == true) 
				print(" Found \n")
			else 
				print(" Not Found \n")
			end

		else 
			print("\n Empty Tree")
		end

	end

end

def main() 
	k = 2
	tree = KTree.new(k)
	#  2d points
	data = [
		[8, 2] , [7, 4] , [3, 5] , [11, 2] , [5, 8] , [9, 4] , [2, 3]
	]
	#  Get the number of elements
	n = data.length
	#  Insert all given nodes
	i = 0
	while (i < n) 
		tree.insert(data[i])
		i += 1
	end

	print("\n Tree Nodes\n")
	# 
	#            (8,2)
	#            /    \
	#          (7,4)  (11,2)     
	#          /   \     \
	#        (2,3) (3,5)  (9,4)
	#                \
	#                 (5,8)          
	#        -----------------
	#        Developed tree
	
	#  Print  tree elements in inorder  form
	tree.printTree(tree.root)
	#  Search nodes
	point1 = [8, 1]
	point2 = [5, 8]
	point3 = [5, 4]
	#  Test case for find nodes
	tree.search(point1)
	tree.search(point2)
	tree.search(point3)
end

main()

Output

 Tree Nodes
 ( 2 , 3)
 ( 7 , 4)
 ( 3 , 5)
 ( 5 , 8)
 ( 8 , 2)
 ( 11 , 2)
 ( 9 , 4)

 Given point :  ( 8 , 1)
 Not Found 

 Given point :  ( 5 , 8)
 Found 

 Given point :  ( 5 , 4)
 Not Found 
// Scala Program
// K dimensional tree insertion

// Define tree node
class TreeNode(var keys: Array[Int] , var left: TreeNode , var right: TreeNode)
{
	def this(data: Array[Int], k: Int)
	{
      	this(Array.fill[Int](k)(0), null, null);
	
		this.setValue(data,k);
	}
  	def setValue(data: Array[Int], k : Int): Unit =
    {
      	var i = 0;
		while (i < k)
		{
            this.keys(i) = data(i);
			i += 1;
		}
    }
}
class KTree(var k: Int , var root: TreeNode)
{
	def this(k: Int )
	{
		this(k, null);
	}
	// Handles the request to add new node in Tree
	def insert(data: Array[Int]): Unit = {
		if (this.root == null)
		{
			// When add first node of tree
			this.root = new TreeNode(data, this.k);
		}
		else
		{
			var auxiliary: TreeNode = this.root;
			var depth: Int = 0;
			var axis: Int = 0;
			// Add new node in tree
			while (auxiliary != null)
			{
				axis = depth % this.k;
				if (auxiliary.keys(axis) > data(axis))
				{
					if (auxiliary.left == null)
					{
						// Add new node
						auxiliary.left = new TreeNode(data, this.k);
						// break the loop
						auxiliary = null;
					}
					else
					{
						// visit left subtree
						auxiliary = auxiliary.left;
					}
				}
				else
				{
					if (auxiliary.right == null)
					{
						// Add new node
						auxiliary.right = new TreeNode(data, this.k);
						// break the loop
						auxiliary = null;
					}
					else
					{
						// visit right subtree
						auxiliary = auxiliary.right;
					}
				}
				depth += 1;
			}
		}
	}
	//  Print the all key of a given node
	def printData(data: Array[Int]): Unit = {
		print(" (");
		var i: Int = 0;
		while (i < this.k)
		{
			if (i > 0)
			{
				print(" , " + data(i));
			}
			else
			{
				print(" " + data(i));
			}
			i += 1;
		}
		print(")\n");
	}
	// Display tree node
	def printTree(node: TreeNode): Unit = {
		if (node != null)
		{
			this.printTree(node.left);
			this.printData(node.keys);
			this.printTree(node.right);
		}
	}
	// Compare node and given point
	def isEquals(node: Array[Int], point: Array[Int]): Boolean = {
		//  When both are same
		var i: Int = 0;
		while (i < this.k)
		{
			if (node(i) != point(i))
			{
				return false;
			}
			i += 1;
		}
		return true;
	}
	// Check if given point exists in tree or not
	def search(point: Array[Int]): Unit = {
		if (this.root != null)
		{
			var auxiliary: TreeNode = this.root;
			var depth: Int = 0;
			var axis: Int = 0;
			var result: Boolean = false;
			// Find node point
			while (auxiliary != null && result == false)
			{
				axis = depth % this.k;
				if (this.isEquals(auxiliary.keys, point) == true)
				{
					// When get resultant node
					result = true;
					auxiliary = null;
				}
				else if (auxiliary.keys(axis) > point(axis))
				{
					// visit left subtree
					auxiliary = auxiliary.left;
				}
				else
				{
					// visit right subtree
					auxiliary = auxiliary.right;
				}
				depth += 1;
			}
			print("\n Given point : ");
			this.printData(point);
			if (result == true)
			{
				print(" Found \n");
			}
			else
			{
				print(" Not Found \n");
			}
		}
		else
		{
			print("\n Empty Tree");
		}
	}
}
object Main
{
	def main(args: Array[String]): Unit = {
		var k: Int = 2;
		var tree: KTree = new KTree(k);
		// 2d points
		var data: Array[Array[Int]] = Array(
          Array(8, 2), Array(7, 4), Array(3, 5), 
          Array(11, 2), Array(5, 8), Array(9, 4), 
          Array(2, 3)
        );
		// Get the number of elements
		var n: Int = data.length;
		// Insert all given nodes
		var i: Int = 0;
		while (i < n)
		{
			tree.insert(data(i));
			i += 1;
		}
		print("\n Tree Nodes\n");
		/*
		           (8,2)
		           /    \
		         (7,4)  (11,2)     
		         /   \     \
		       (2,3) (3,5)  (9,4)
		               \
		                (5,8)          
		       -----------------
		       Developed tree
		*/
		// Print  tree elements in inorder  form
		tree.printTree(tree.root);
		// Search nodes
		var point1: Array[Int] = Array(8, 1);
		var point2: Array[Int] = Array(5, 8);
		var point3: Array[Int] = Array(5, 4);
		// Test case for find nodes
		tree.search(point1);
		tree.search(point2);
		tree.search(point3);
	}
}

Output

 Tree Nodes
 ( 2 , 3)
 ( 7 , 4)
 ( 3 , 5)
 ( 5 , 8)
 ( 8 , 2)
 ( 11 , 2)
 ( 9 , 4)

 Given point :  ( 8 , 1)
 Not Found

 Given point :  ( 5 , 8)
 Found

 Given point :  ( 5 , 4)
 Not Found
// Swift 4 Program
// K dimensional tree insertion

// Define tree node
class TreeNode
{
	var keys: [Int];
	var left: TreeNode? ;
	var right: TreeNode? ;
	init(_ data: [Int], _ k: Int)
	{
		self.keys = Array(repeating: 0, count: k);
		self.left = nil;
		self.right = nil;
		var i: Int = 0;
		while (i < k)
		{
			self.keys[i] = data[i];
			i += 1;
		}
	}
}
class KTree
{
	var k: Int;
	var root: TreeNode? ;
	init(_ k: Int)
	{
		self.k = k;
		self.root = nil;
	}
	// Handles the request to add new node in Tree
	func insert(_ data: [Int])
	{
		if (self.root == nil)
		{
			// When add first node of tree
			self.root = TreeNode(data, self.k);
		}
		else
		{
			var auxiliary: TreeNode? = self.root;
			var depth: Int = 0;
			var axis: Int = 0;
			// Add new node in tree
			while (auxiliary  != nil)
			{
				axis = depth % self.k;
				if (auxiliary!.keys[axis] > data[axis])
				{
					if (auxiliary!.left == nil)
					{
						// Add new node
						auxiliary!.left = TreeNode(data, self.k);
						// break the loop
						auxiliary = nil;
					}
					else
					{
						// visit left subtree
						auxiliary = auxiliary!.left;
					}
				}
				else
				{
					if (auxiliary!.right == nil)
					{
						// Add new node
						auxiliary!.right = TreeNode(data, self.k);
						// break the loop
						auxiliary = nil;
					}
					else
					{
						// visit right subtree
						auxiliary = auxiliary!.right;
					}
				}
				depth += 1;
			}
		}
	}
	//  Print the all key of a given node
	func printData(_ data: [Int])
	{
		print(" (", terminator: "");
		var i: Int = 0;
		while (i < self.k)
		{
			if (i > 0)
			{
				print(" , ", data[i], terminator: "");
			}
			else
			{
				print(" ", data[i], terminator: "");
			}
			i += 1;
		}
		print(")");
	}
	// Display tree node
	func printTree(_ node: TreeNode? )
	{
		if (node  != nil)
		{
			self.printTree(node!.left);
			self.printData(node!.keys);
			self.printTree(node!.right);
		}
	}
	// Compare node and given point
	func isEquals(_ node: [Int], _ point: [Int])->Bool
	{
		//  When both are same
		var i: Int = 0;
		while (i < self.k)
		{
			if (node[i]  != point[i])
			{
				return false;
			}
			i += 1;
		}
		return true;
	}
	// Check if given point exists in tree or not
	func search(_ point: [Int])
	{
		if (self.root  != nil)
		{
			var auxiliary: TreeNode? = self.root;
			var depth: Int = 0;
			var axis: Int = 0;
			var result: Bool = false;
			// Find node point
			while (auxiliary  != nil && result == false)
			{
				axis = depth % self.k;
				if (self.isEquals(auxiliary!.keys, point) == true)
				{
					// When get resultant node
					result = true;
					auxiliary = nil;
				}
				else if (auxiliary!.keys[axis] > point[axis])
				{
					// visit left subtree
					auxiliary = auxiliary!.left;
				}
				else
				{
					// visit right subtree
					auxiliary = auxiliary!.right;
				}
				depth += 1;
			}
			print("\n Given point : ", terminator: "");
			self.printData(point);
			if (result == true)
			{
				print(" Found ");
			}
			else
			{
				print(" Not Found ");
			}
		}
		else
		{
			print("\n Empty Tree", terminator: "");
		}
	}
}
func main()
{
	let k: Int = 2;
	let tree: KTree = KTree(k);
	// 2d points
	let data: [[Int]] = 
    [
		[8, 2] , [7, 4] , [3, 5] , 
        [11, 2] , [5, 8] , [9, 4] , [2, 3]
	];
	// Get the number of elements
	let n: Int = data.count;
	// Insert all given nodes
	var i: Int = 0;
	while (i < n)
	{
		tree.insert(data[i]);
		i += 1;
	}
	print("\n Tree Nodes");
	/*
	           (8,2)
	           /    \
	         (7,4)  (11,2)     
	         /   \     \
	       (2,3) (3,5)  (9,4)
	               \
	                (5,8)          
	       -----------------
	       Developed tree
	*/
	// Print  tree elements in inorder  form
	tree.printTree(tree.root);
	// Search nodes
	let point1: [Int] = [8, 1];
	let point2: [Int] = [5, 8];
	let point3: [Int] = [5, 4];
	// Test case for find nodes
	tree.search(point1);
	tree.search(point2);
	tree.search(point3);
}
main();

Output

 Tree Nodes
 (  2 ,  3)
 (  7 ,  4)
 (  3 ,  5)
 (  5 ,  8)
 (  8 ,  2)
 (  11 ,  2)
 (  9 ,  4)

 Given point :  (  8 ,  1)
 Not Found

 Given point :  (  5 ,  8)
 Found

 Given point :  (  5 ,  4)
 Not Found
// Kotlin Program
// K dimensional tree insertion


// Define tree node
class TreeNode
{
	var keys: Array < Int > ;
	var left: TreeNode ? ;
	var right: TreeNode ? ;
	constructor(data: Array < Int > , k: Int)
	{
		this.keys = Array(k)
		{
			0
		};
		this.left = null;
		this.right = null;
		var i: Int = 0;
		while (i < k)
		{
			this.keys[i] = data[i];
			i += 1;
		}
	}
}
class KTree
{
	var k: Int;
	var root: TreeNode ? ;
	constructor(k: Int)
	{
		this.k = k;
		this.root = null;
	}
	// Handles the request to add new node in Tree
	fun insert(data: Array < Int > ): Unit
	{
		if (this.root == null)
		{
			// When add first node of tree
			this.root = TreeNode(data, this.k);
		}
		else
		{
			var auxiliary: TreeNode ? = this.root;
			var depth: Int = 0;
			var axis: Int ;
			// Add new node in tree
			while (auxiliary != null)
			{
				axis = depth % this.k;
				if (auxiliary.keys[axis] > data[axis])
				{
					if (auxiliary.left == null)
					{
						// Add new node
						auxiliary.left = TreeNode(data, this.k);
						// break the loop
						auxiliary = null;
					}
					else
					{
						// visit left subtree
						auxiliary = auxiliary.left;
					}
				}
				else
				{
					if (auxiliary.right == null)
					{
						// Add new node
						auxiliary.right = TreeNode(data, this.k);
						// break the loop
						auxiliary = null;
					}
					else
					{
						// visit right subtree
						auxiliary = auxiliary.right;
					}
				}
				depth += 1;
			}
		}
	}
	//  Print the all key of a given node
	fun printData(data: Array < Int > ): Unit
	{
		print(" (");
		var i: Int = 0;
		while (i < this.k)
		{
			if (i > 0)
			{
				print(" , " + data[i]);
			}
			else
			{
				print(" " + data[i]);
			}
			i += 1;
		}
		print(")\n");
	}
	// Display tree node
	fun printTree(node: TreeNode ? ): Unit
	{
		if (node != null)
		{
			this.printTree(node.left);
			this.printData(node.keys);
			this.printTree(node.right);
		}
	}
	// Compare node and given point
	fun isEquals(node: Array < Int > , point: Array < Int > ): Boolean
	{
		//  When both are same
		var i: Int = 0;
		while (i < this.k)
		{
			if (node[i] != point[i])
			{
				return false;
			}
			i += 1;
		}
		return true;
	}
	// Check if given point exists in tree or not
	fun search(point: Array < Int > ): Unit
	{
		if (this.root != null)
		{
			var auxiliary: TreeNode ? = this.root;
			var depth: Int = 0;
			var axis: Int ;
			var result: Boolean = false;
			// Find node point
			while (auxiliary != null && result == false)
			{
				axis = depth % this.k;
				if (this.isEquals(auxiliary.keys, point) == true)
				{
					// When get resultant node
					result = true;
					auxiliary = null;
				}
				else if (auxiliary.keys[axis] > point[axis])
				{
					// visit left subtree
					auxiliary = auxiliary.left;
				}
				else
				{
					// visit right subtree
					auxiliary = auxiliary.right;
				}
				depth += 1;
			}
			print("\n Given point : ");
			this.printData(point);
			if (result == true)
			{
				print(" Found \n");
			}
			else
			{
				print(" Not Found \n");
			}
		}
		else
		{
			print("\n Empty Tree");
		}
	}
}
fun main(args: Array < String > ): Unit
{
	var k: Int = 2;
	var tree: KTree = KTree(k);
	// 2d points
	var data: Array < Array < Int >> = arrayOf(arrayOf(8, 2), arrayOf(7, 4), arrayOf(3, 5), arrayOf(11, 2), arrayOf(5, 8), arrayOf(9, 4), arrayOf(2, 3));
	// Get the number of elements
	var n: Int = data.count();
	// Insert all given nodes
	var i: Int = 0;
	while (i < n)
	{
		tree.insert(data[i]);
		i += 1;
	}
	print("\n Tree Nodes\n");
	/*
	           (8,2)
	           /    \
	         (7,4)  (11,2)     
	         /   \     \
	       (2,3) (3,5)  (9,4)
	               \
	                (5,8)          
	       -----------------
	       Developed tree
	*/
	// Print  tree elements in inorder  form
	tree.printTree(tree.root);
	// Search nodes
	var point1: Array < Int > = arrayOf(8, 1);
	var point2: Array < Int > = arrayOf(5, 8);
	var point3: Array < Int > = arrayOf(5, 4);
	// Test case for find nodes
	tree.search(point1);
	tree.search(point2);
	tree.search(point3);
}

Output

 Tree Nodes
 ( 2 , 3)
 ( 7 , 4)
 ( 3 , 5)
 ( 5 , 8)
 ( 8 , 2)
 ( 11 , 2)
 ( 9 , 4)

 Given point :  ( 8 , 1)
 Not Found

 Given point :  ( 5 , 8)
 Found

 Given point :  ( 5 , 4)
 Not Found
K D tree implementation


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