How to implement complete binary in c++? - c++

Question

I want to try make insertion of complete binary tree using recursion . I make a piece of code and I cannot catch problem why value not inserted. I make height function and count nodes function with help of these function and recursive call I want to insert new node in Complete binary tree. In main get root by using get root function then send to insert function
#include<iostream>
#include<math.h>
using namespace std;
struct node{
int data;
node *left,*right;
};
class cbt{
node *root;
public:
cbt()
{
root=NULL;
}
node* get_node()
{
return root;
}
node* newNode(int key)
{
node* temp1 = new node;
temp1->data = key;
temp1->left = temp1->right = NULL;
return temp1;
}
void CBT_inseration(node* temp,int data)
{
node *ptr;
ptr=newNode(data);
if(root==NULL)
{
root=ptr;
return;
}
else
{
height = f_height(temp->left);
int excepted_node = pow(2,height)-1;
int left_tree_node_count = countNumNodes(temp->left);
int right_tree_node_count = countNumNodes(temp->right);
if(left_tree_node_count==right_tree_node_count)
{
CBT_inseration(temp->left,data);
}
else if(excepted_node != left_tree_node_count)
{
if(temp->left == NULL)
{
temp->left = ptr;
return;
}else
{
CBT_inseration(temp->left,data);
}
}
else if(temp->right == NULL)
{
temp->right=ptr;
return;
}
else if(excepted_node != left_tree_node_count)
{
if(temp->left == NULL)
{
temp->left=ptr;
return;
}
else
{
CBT_inseration(temp->right,data);
}
}
}
}
void print(node *root) {
if (root == NULL)
return;
print(root->left);
cout << root->data << " ";
print(root->right);
}
};
int main()
{
cbt obj;
node *r=NULL;
obj.CBT_inseration(obj.get_node(),4);
obj.CBT_inseration(obj.get_node(),3);
obj.CBT_inseration(obj.get_node(),5);
obj.CBT_inseration(obj.get_node(),8);
obj.print(obj.get_node());
return 0;
}

Answer 1

You would need to go through a debugger to see what is wrong with your code. I will tell you how I would do this:
First, you need a function to check if the tree is full. We will reuse your functions to do this:
bool isTreeFull(node* head) {
return head != NULL && countNumNodes(head) == (1 << find_height(head)) - 1;
}
Then for inserting I have to check if the number of nodes on each side are the same. This tells me that I am allowed to move one level deeper on the left side. If the number of nodes aren't the same, then I only move on to insert on the right subtree if the left subtree is full:
void CBT_inseration(int data) {
root = insert(root, data);
}
node* insert(node* head, int data) {
if (head == NULL) {
head = newNode(data);
} else {
int leftCount = countNumNodes(head->left);
int rightCount = countNumNodes(head->right);
if (leftCount == rightCount) {
head->left = insert(head->left, data);
} else {
if (isTreeFull(head->left)) {
head->right = insert(head->right, data);
} else {
head->left = insert(head->left, data);
}
}
}
return head;
}
Then you would call it like:
cbt obj;
obj.CBT_inseration(4);
obj.CBT_inseration(3);
obj.CBT_inseration(5);
obj.CBT_inseration(6);
obj.CBT_inseration(8);
obj.print(obj.get_node()); // 6 3 8 4 5