## Algorithm

Problem Name: Data Structures - Binary Search Tree : Insertion

In this HackerRank in Data Structures - Binary Search Tree : Insertion solutions

You are given a pointer to the root of a binary search tree and values to be inserted into the tree. Insert the values into their appropriate position in the binary search tree and return the root of the updated binary tree. You just have to complete the function.

Input Format

You are given a function,

``````Node * insert (Node * root ,int data) {

}
``````

Constraints

• No. of nodes in the tree <= 500

Output Format

Return the root of the binary search tree after inserting the value into the tree.

Sample Input

``````        4
/ \
2   7
/ \
1   3
``````

The value to be inserted is 6.

Sample Output

``````         4
/   \
2     7
/ \   /
1   3 6
``````

## Code Examples

### #1 Code Example with C Programming

```Code - C Programming```

``````
#include <stdio.h>
#include <string.h>
#include <math.h>
#include <stdlib.h>

struct node {

int data;
struct node *left;
struct node *right;

};

void preOrder( struct node *root) {

if( root == NULL )
return;
printf("%d ",root->data);
preOrder(root->left);
preOrder(root->right);

}

/* you only have to complete the function given below.
node is defined as

struct node {

int data;
struct node *left;
struct node *right;

};

*/
struct node* insert( struct node* root, int data ) {

if(root == NULL){
root = malloc(sizeof(struct node));
root->data = data;
root->left = NULL;
root->right = NULL;

}else if(data  <  root->data){
root->left = insert(root->left, data);
}else{
root->right = insert(root->right, data);
}
return root;

}

int main() {

struct node* root = NULL;

int t;
int data;

scanf("%d", &t);

while(t-- > 0) {
scanf("%d", &data);
root = insert(root, data);
}

preOrder(root);
return 0;
}

``````
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### #2 Code Example with C++ Programming

```Code - C++ Programming```

``````
#include <bits/stdc++.h>

using namespace std;

class Node {
public:
int data;
Node *left;
Node *right;
Node(int d) {
data = d;
left = NULL;
right = NULL;
}
};

class Solution {
public:

void preOrder(Node *root) {

if( root == NULL )
return;

std::cout << root->data << " ";

preOrder(root->left);
preOrder(root->right);
}

/*
Node is defined as

class Node {
public:
int data;
Node *left;
Node *right;
Node(int d) {
data = d;
left = NULL;
right = NULL;
}
};

*/

Node * insert(Node * root, int value) {

if(root==NULL) {
Node* newNode;
newNode = (Node*)malloc(sizeof(Node));
newNode->left = NULL;
newNode->right = NULL;
newNode->data = value;
return newNode;
}

if(value  < = root->data)
root->left = insert(root->left, value);
else
root->right = insert(root->right, value);

return root;
}

};

int main() {

Solution myTree;
Node* root = NULL;

int t;
int data;

std::cin >> t;

while(t-- > 0) {
std::cin >> data;
root = myTree.insert(root, data);
}

myTree.preOrder(root);

return 0;
}
``````
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### #3 Code Example with Java Programming

```Code - Java Programming```

``````
import java.util.*;
import java.io.*;

class Node {
Node left;
Node right;
int data;

Node(int data) {
this.data = data;
left = null;
right = null;
}
}

class Solution {

public static void preOrder( Node root ) {

if( root == null)
return;

System.out.print(root.data + " ");
preOrder(root.left);
preOrder(root.right);

}

/* Node is defined as :
class Node
int data;
Node left;
Node right;

*/

public static Node insert(Node root,int value)
{
if(root == null) {
root = new Node(value);
} else if(value < root.data){
root.left = insert(root.left,value>;
} else if(value > root.data) {
root.right = insert(root.right,value);
}

return root;

}

public static void main(String[] args) {
Scanner scan = new Scanner(System.in);
int t = scan.nextInt();
Node root = null;
while(t-- > 0) {
int data = scan.nextInt();
root = insert(root, data);
}
scan.close();
preOrder(root);
}
}
``````
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### #4 Code Example with Python Programming

```Code - Python Programming```

``````
class Node:
def __init__(self, info):
self.info = info
self.left = None
self.right = None
self.level = None

def __str__(self):
return str(self.info)

def preOrder(root):
if root == None:
return
print (root.info, end=" ")
preOrder(root.left)
preOrder(root.right)

class BinarySearchTree:
def __init__(self):
self.root = None

#Node is defined as
#self.left (the left child of the node)
#self.right (the right child of the node)
#self.info (the value of the node)

def insert(self, val):
if self.root is None:
self.root=Node(val)
else:
current = self.root
while True:
if val < current.info:
if current.left is None:
current.left=Node(val)
break
else:
current=current.left
else:
if current.right is None:
current.right=Node(val)
break
else:
current=current.right

tree = BinarySearchTree()
t = int(input())

arr = list(map(int, input().split()))

for i in range(t):
tree.insert(arr[i])

preOrder(tree.root)
``````
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