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- // function to print if the given binary tree is balanced or not
- #include <iostream>
- using namespace std;
- // node class
- class node{
- public:
- int data;
- int hd;
- node* left;
- node* right;
- };
- // function that returns a pointer to new node
- node* createNode(int element){
- node* temp = (node*) malloc(sizeof(node));
- temp->data = element;
- temp->hd = -1;
- temp->left = NULL;
- temp->right = NULL;
- return temp;
- }
- // function to find the height of a binary tree
- int height(node* root){
- if (root == NULL){
- return 0;
- }
- return (1 + max(height(root->left), height(root->right)));
- }
- // function to check if the tree is a height balanced tree or not
- bool isBalanced(node* root){
- if(root == NULL){
- return true;
- }
- // get the heights of the left and the right subtrees
- int left_height = height(root->left);
- int right_height = height(root->right);
- // if the difference between heights of the left and right subtrees is less than 2
- // and left and right subtrees are also balanced then return true
- return abs(left_height - right_height) <= 1 && isBalanced(root->left) && isBalanced(root->right);
- }
- int main() {
- node* head = createNode(1);
- head->left = createNode(2);
- head->right = createNode(3);
- head->left->left = createNode(4);
- head->left->right = createNode(5);
- head->right->right = createNode(6);
- head->left->left->right = createNode(7);
- head->right->right->left = createNode(8);
- head->left->left->right->left = createNode(9);
- head->left->left->right->left->left = createNode(10);
- head->right->right->left->right = createNode(11);
- cout<<"The binary tree #1 is Balanced : "<<isBalanced(head)<<endl;
- node* head2 = createNode(5);
- head2->left = createNode(2);
- head2->right = createNode(12);
- head2->left->left = createNode(-4);
- head2->left->right = createNode(3);
- head2->right->left = createNode(9);
- head2->right->right = createNode(21);
- head2->right->right->left = createNode(19);
- head2->right->right->right = createNode(25);
- cout<<"The binary tree #2 is Balanced : "<<isBalanced(head2)<<endl;
- node* m1 = createNode(8);
- m1->left = createNode(3);
- m1->right = createNode(10);
- m1->left->left = createNode(1);
- m1->left->right = createNode(6);
- m1->left->right->left = createNode(4);
- m1->left->right->right = createNode(7);
- m1->right->right = createNode(14);
- m1->right->right->left = createNode(13);
- cout<<"The binary tree #3 is Balanced : "<<isBalanced(m1);
- }
- /*
- The binary tree #1 is Balanced : 0
- The binary tree #2 is Balanced : 1
- The binary tree #3 is Balanced : 0
- Process finished with exit code 0
- */
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