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- #include<iostream>
- using namespace std;
- class node{
- protected:
- int element;
- node* left;
- node* right;
- public:
- //constructor that accepts only element
- node(int element){
- this->element = element;
- this->left = NULL;
- this->right = NULL;
- }
- //constructor that accepts element, left Link, Right Link
- node(int element, node* leftLink, node* rightLink){
- this->element = element;
- this->left = leftLink;
- this->right = rightLink;
- }
- //method to update data of the node
- void updateData(int element){
- this->element = element;
- }
- //method to update the left Link of the node
- void updateLeftLink(node* temp){
- this->left = temp;
- }
- //method to update the right link of the node
- void updateRightLink(node* temp){
- this->right = temp;
- }
- //method that returns the element of the node
- int getElement(){
- return this->element;
- } //method that returns left Link
- node* getLeftNode(){
- return this->left;
- }
- //method that returns the right Link
- node* getRightNode(){
- return this->right;
- }
- };
- //binary search tree class
- class BST{
- protected:
- node* root;
- public:
- //constructor for bst
- BST(){
- root = NULL;
- }
- //returns true if the root node is null
- bool isEmpty(){
- return(root == NULL);
- }
- //returns root node
- node* getRoot(){
- return root;
- }
- void insert(int element){
- node* temp = new node(element);
- //if tree is empty put it at root node
- if(root == NULL){
- root = temp;
- } else{
- bool inserted = false;
- //creating a node pointer to traverse the tree
- node* p = root;
- //keep looping while the node is not inserted
- while(not inserted){
- //if element of the new node is less than the current node than insert it to the left
- if(p->getElement() > temp->getElement()){
- if(p->getLeftNode() == NULL){
- p->updateLeftLink(temp);
- inserted = true;
- } else{
- p = p->getLeftNode();
- }
- }
- //if element of the new node is greater than the current node than insert it to the right
- else if(p->getElement() < temp->getElement()){
- if(p->getRightNode() == NULL){
- p->updateRightLink(temp);
- inserted = true;
- } else{
- p = p->getRightNode();
- }
- }
- }
- }
- }
- // recursive program to display tree using Inorder traversal
- void displayInorder(node* n){
- if(n == NULL){
- return;
- }
- displayInorder(n->getLeftNode());
- cout<<n->getElement()<<" ";
- displayInorder(n->getRightNode());
- }
- // method to display all the leaf nodes
- // using inorder traversal to traverse the tree and print all leaf nodes
- void displayLeafNodes(node* n){
- if(n == NULL){
- return;
- }
- displayLeafNodes(n->getLeftNode());
- // leaf node has both left and right links as null
- // checking if both links are null then it is a leaf node
- if(n->getLeftNode() == NULL && n->getRightNode() == NULL){
- cout<<n->getElement()<<" ";
- }
- displayLeafNodes(n->getRightNode());
- }
- };
- int main() {
- BST b1;
- b1.insert(7);
- b1.insert(29);
- b1.insert(25);
- b1.insert(36);
- b1.insert(71);
- b1.insert(24);
- b1.insert(5);
- b1.insert(9);
- b1.insert(1);
- node* root = b1.getRoot();
- cout<<"The Root element of the BST is : "<<root->getElement()<<endl;
- cout<<"\n\nThe Inorder traversal of the BST is : ";
- b1.displayInorder(root);
- cout<<"\n\nThe Leaf nodes of the BST are : "; b1.displayLeafNodes(root);
- }
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