Here is what I have I have so far #ifndef BINARY_TREE #define BINARY_TREE #inclu
ID: 3838478 • Letter: H
Question
Here is what I have I have so far
#ifndef BINARY_TREE
#define BINARY_TREE
#include <iostream>
template<class T>
class bTree
{
private:
struct treeNode
{
treeNode * left;
treeNode * right;
T data;
};
void insert(treeNode*& current, treeNode*& newNode)
{
if (current == NULL)
{
current = newNode;
}
else if (current->left == NULL)
{
temp = current;
current = current->right;
delete temp;
}
else if (current->right == NULL)
{
temp = current;
current = current->left;
delete temp;
}
else
{
temp = current->right;
while (temp->left != NULL)
{
temp = temp->left;
}
temp->left = current->left;
temp = current;
current = current->right;
delete temp;
}
};
void makeDeletion(treeNode *¤t)
{
if(current == NULL)
{
return;
}
else if (current->left == NULL)
{
temp = current;
current = current->right;
delete temp;
}
}
void deleteN(T value, treeNode &*current)
{
if (current->data == value)
{
makeDeletion(current);
}
else if (value > current->data)
{
deleteN(value, current->right);
}
else
{
deleteN(value, current->left);
}
};
void displayInOrder(treeNode *current, std::ostream &out)
{
if (current == NULL)
{
return;
}
displayInOrder(current->left, out);
out << current->data;
out << " ";
displayInOrder(current->right, out);
};
void displayPreOrder(treeNode *current, std::ostream &out)
{
if (current == NULL)
{
return;
}
out << current->data;
out << " ";
displayPreOrder(current->left, out);
displayPreOrder(current->right, out);
};
void displayPostOrder(treeNode *current, std::ostream &out)
{
if (current == NULL)
{
return;
}
displayPostOrder(current->left, out);
displayPostOrder(current->right, out);
out << current->data;
out << " ";
};
protected:
treeNode * root;
int numNodes;
public:
bTree()
{
numNode = 0;
root = NULL;
};
bTree(T value)
{
numNodes = 1;
root = new treeNode;
root->data = value;
root->left = NULL;
root->right NULL;
};
void insertNode(T value)
{
treeNode * newNode = new treeNode;
newNode->left = NULL;
newNode->right = NULL;
newNode->data = value;
insert(root, newNode);
};
~bTree()
{
while (root != NULL)
{
}
};
void printInOrder(std::ostream)
{
printInOrder(root, out);
};
void printPreOrder(std::ostream)
{
printPreOrder(root, out);
};
void printPostOrder(std::ostream)
{
printPostOrder(root, out);
};
};
#endif
Explanation / Answer
/*
* C++ Program To Implement BST
*/
# include <iostream>
# include <cstdlib>
using namespace std;
/*
* Node Declaration
*/
struct node
{
int info;
struct node *left;
struct node *right;
}*root;
/*
* Class Declaration
*/
class BST
{
public:
void find(int, node **, node **);
void insert(int);
void del(int);
void case_a(node *,node *);
void case_b(node *,node *);
void case_c(node *,node *);
void preorder(node *);
void inorder(node *);
void postorder(node *);
void display(node *, int);
BST()
{
root = NULL;
}
};
/*
* Main Contains Menu
*/
int main()
{
int choice, num;
BST bst;
node *temp;
while (1)
{
cout<<"-----------------"<<endl;
cout<<"Operations on BST"<<endl;
cout<<"-----------------"<<endl;
cout<<"1.Insert Element "<<endl;
cout<<"2.Delete Element "<<endl;
cout<<"3.Inorder Traversal"<<endl;
cout<<"4.Preorder Traversal"<<endl;
cout<<"5.Postorder Traversal"<<endl;
cout<<"6.Display"<<endl;
cout<<"7.Quit"<<endl;
cout<<"Enter your choice : ";
cin>>choice;
switch(choice)
{
case 1:
temp = new node;
cout<<"Enter the number to be inserted : ";
cin>>temp->info;
bst.insert(root, temp);
case 2:
if (root == NULL)
{
cout<<"Tree is empty, nothing to delete"<<endl;
continue;
}
cout<<"Enter the number to be deleted : ";
cin>>num;
bst.del(num);
break;
case 3:
cout<<"Inorder Traversal of BST:"<<endl;
bst.inorder(root);
cout<<endl;
break;
case 4:
cout<<"Preorder Traversal of BST:"<<endl;
bst.preorder(root);
cout<<endl;
break;
case 5:
cout<<"Postorder Traversal of BST:"<<endl;
bst.postorder(root);
cout<<endl;
break;
case 6:
cout<<"Display BST:"<<endl;
bst.display(root,1);
cout<<endl;
break;
case 7:
exit(1);
default:
cout<<"Wrong choice"<<endl;
}
}
}
/*
* Find Element in the Tree
*/
void BST::find(int item, node **par, node **loc)
{
node *ptr, *ptrsave;
if (root == NULL)
{
*loc = NULL;
*par = NULL;
return;
}
if (item == root->info)
{
*loc = root;
*par = NULL;
return;
}
if (item < root->info)
ptr = root->left;
else
ptr = root->right;
ptrsave = root;
while (ptr != NULL)
{
if (item == ptr->info)
{
*loc = ptr;
*par = ptrsave;
return;
}
ptrsave = ptr;
if (item < ptr->info)
ptr = ptr->left;
else
ptr = ptr->right;
}
*loc = NULL;
*par = ptrsave;
}
/*
* Inserting Element into the Tree
*/
void BST::insert(node *tree, node *newnode)
{
if (root == NULL)
{
root = new node;
root->info = newnode->info;
root->left = NULL;
root->right = NULL;
cout<<"Root Node is Added"<<endl;
return;
}
if (tree->info == newnode->info)
{
cout<<"Element already in the tree"<<endl;
return;
}
if (tree->info > newnode->info)
{
if (tree->left != NULL)
{
insert(tree->left, newnode);
}
else
{
tree->left = newnode;
(tree->left)->left = NULL;
(tree->left)->right = NULL;
cout<<"Node Added To Left"<<endl;
return;
}
}
else
{
if (tree->right != NULL)
{
insert(tree->right, newnode);
}
else
{
tree->right = newnode;
(tree->right)->left = NULL;
(tree->right)->right = NULL;
cout<<"Node Added To Right"<<endl;
return;
}
}
}
/*
* Delete Element from the tree
*/
void BST::del(int item)
{
node *parent, *location;
if (root == NULL)
{
cout<<"Tree empty"<<endl;
return;
}
find(item, &parent, &location);
if (location == NULL)
{
cout<<"Item not present in tree"<<endl;
return;
}
if (location->left == NULL && location->right == NULL)
case_a(parent, location);
if (location->left != NULL && location->right == NULL)
case_b(parent, location);
if (location->left == NULL && location->right != NULL)
case_b(parent, location);
if (location->left != NULL && location->right != NULL)
case_c(parent, location);
free(location);
}
/*
* Case A
*/
void BST::case_a(node *par, node *loc )
{
if (par == NULL)
{
root = NULL;
}
else
{
if (loc == par->left)
par->left = NULL;
else
par->right = NULL;
}
}
/*
* Case B
*/
void BST::case_b(node *par, node *loc)
{
node *child;
if (loc->left != NULL)
child = loc->left;
else
child = loc->right;
if (par == NULL)
{
root = child;
}
else
{
if (loc == par->left)
par->left = child;
else
par->right = child;
}
}
/*
* Case C
*/
void BST::case_c(node *par, node *loc)
{
node *ptr, *ptrsave, *suc, *parsuc;
ptrsave = loc;
ptr = loc->right;
while (ptr->left != NULL)
{
ptrsave = ptr;
ptr = ptr->left;
}
suc = ptr;
parsuc = ptrsave;
if (suc->left == NULL && suc->right == NULL)
case_a(parsuc, suc);
else
case_b(parsuc, suc);
if (par == NULL)
{
root = suc;
}
else
{
if (loc == par->left)
par->left = suc;
else
par->right = suc;
}
suc->left = loc->left;
suc->right = loc->right;
}
/*
* Pre Order Traversal
*/
void BST::preorder(node *ptr)
{
if (root == NULL)
{
cout<<"Tree is empty"<<endl;
return;
}
if (ptr != NULL)
{
cout<<ptr->info<<" ";
preorder(ptr->left);
preorder(ptr->right);
}
}
/*
* In Order Traversal
*/
void BST::inorder(node *ptr)
{
if (root == NULL)
{
cout<<"Tree is empty"<<endl;
return;
}
if (ptr != NULL)
{
inorder(ptr->left);
cout<<ptr->info<<" ";
inorder(ptr->right);
}
}
/*
* Postorder Traversal
*/
void BST::postorder(node *ptr)
{
if (root == NULL)
{
cout<<"Tree is empty"<<endl;
return;
}
if (ptr != NULL)
{
postorder(ptr->left);
postorder(ptr->right);
cout<<ptr->info<<" ";
}
}
/*
* Display Tree Structure
*/
void BST::display(node *ptr, int level)
{
int i;
if (ptr != NULL)
{
display(ptr->right, level+1);
cout<<endl;
if (ptr == root)
cout<<"Root->: ";
else
{
for (i = 0;i < level;i++)
cout<<" ";
}
cout<<ptr->info;
display(ptr->left, level+1);
}
}
output: