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#ifndef BINARY_SEARCH_TREE_H
#define BINARY_SEARCH_TREE_H
#include "dsexceptions.h"
#include "LinkedList.h"
#include <iostream>
using namespace std;
template <typename Comparable>
class BinarySearchTree
{
public:
BinarySearchTree( ) :root( NULL )
{ }
BinarySearchTree(const BinarySearchTree & rhs) : root(NULL)
{ *this = rhs; }
~BinarySearchTree( )
{ makeEmpty( ); }
const Comparable & findMin( ) const
{
if (isEmpty( ))
throw UnderflowException( );
return findMin(root)->element;
}
const Comparable & findMax( ) const
{
if(isEmpty( ))
throw UnderflowException( );
return findMax( root )->element;
}
bool contains(const Comparable & x) const
{ return contains(x, root); }
bool isEmpty( ) const
{ return root == NULL; }
void printTree(ostream & out = cout)
{
if (isEmpty( ))
out << "Empty tree" << endl;
else
printTree(root, out);
}
void makeEmpty( )
{ makeEmpty(root); }
void insert(const Comparable & x)
{ insert(x, root); }
void remove(const Comparable & x)
{ remove(x, root); }
const BinarySearchTree & operator=(const BinarySearchTree & rhs)
{
if (this != &rhs)
{
makeEmpty( );
root = clone(rhs.root);
}
return *this;
}
void toList(linkedlist l)
{ toList(l, root); }
private:
struct BinaryNode
{
Comparable element;
BinaryNode *left;
BinaryNode *right;
BinaryNode(const Comparable & theElement, BinaryNode *lt, BinaryNode *rt)
: element(theElement), left(lt), right(rt) { }
};
BinaryNode *root;
void toList(linkedlist l, BinaryNode *&t)
{
if(t==NULL)
{ return; }
toList(l,t->left);
l.add(t->element);
toList(l,t->right);
}
void printTree(BinaryNode *&t, ostream & out = cout)
{
if(t==NULL)
{ return; }
printTree(t->left,out);
cout << t->element << endl;
printTree(t->right,out);
}
void insert(const Comparable & x, BinaryNode * & t)
{
if (t == NULL)
t = new BinaryNode(x, NULL, NULL);
else if (x < t->element)
insert(x, t->left);
else if (t->element < x)
insert(x, t->right);
else; // Duplicate; do nothing
}
void remove(const Comparable & x, BinaryNode * & t)
{
if (t == NULL)
return; // Item not found; do nothing
if (x < t->element)
remove(x, t->left);
else if (t->element < x)
remove(x, t->right);
else if (t->left != NULL && t->right != NULL) // Two children
{
t->element = findMin(t->right)->element;
remove(t->element, t->right);
}
else
{
BinaryNode *oldNode = t;
t = (t->left != NULL) ? t->left : t->right;
delete oldNode;
}
}
BinaryNode * findMin(BinaryNode *t) const
{
if (t == NULL)
return NULL;
if (t->left == NULL)
return t;
return findMin(t->left);
}
BinaryNode * findMax(BinaryNode *t) const
{
if (t != NULL)
while (t->right != NULL)
t = t->right;
return t;
}
bool contains(const Comparable & x, BinaryNode *t) const
{
if (t == NULL)
return false;
else if (x < t->element)
return contains(x, t->left);
else if (t->element < x)
return contains(x, t->right);
else
return true; // Match
}
void makeEmpty(BinaryNode * & t)
{
if (t != NULL)
{
makeEmpty(t->left);
makeEmpty(t->right);
delete t;
}
t = NULL;
}
BinaryNode * clone(BinaryNode *t) const
{
if (t == NULL)
return NULL;
else
return new BinaryNode(t->element, clone(t->left), clone(t->right));
}
};
#endif
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