1. Class No.16 Data Structures http://ecomputernotes.com

7. Deleting a node in BST Delete(2): locate inorder successor 6 2 5 3 1 8 4 Inorder successor http://ecomputernotes.com

9. Deleting a node in BST Delete(2): copy data from inorder successor 6 2 5 3 1 8 4  6 3 5 3 1 8 4 http://ecomputernotes.com

10. Deleting a node in BST Delete(2): remove the inorder successor 6 2 5 3 1 8 4  6 3 5 3 1 8 4  6 3 5 3 1 8 4 http://ecomputernotes.com

11. Deleting a node in BST Delete(2)  6 3 5 4 1 8  6 3 5 3 1 8 4 http://ecomputernotes.com

13. C++ code for delete TreeNode<int>* remove(TreeNode<int>* tree, int info) { TreeNode<int>* t; int cmp = info - *(tree->getInfo()); if( cmp < 0 ){ t = remove(tree->getLeft(), info); tree->setLeft( t ); } else if( cmp > 0 ){ t = remove(tree->getRight(), info); tree->setRight( t ); }  http://ecomputernotes.com

14. C++ code for delete TreeNode<int>* remove(TreeNode<int>* tree, int info) { TreeNode<int>* t; int cmp = info - *(tree->getInfo()); if( cmp < 0 ){ t = remove(tree->getLeft(), info); tree->setLeft( t ); } else if( cmp > 0 ){ t = remove(tree->getRight(), info); tree->setRight( t ); }  http://ecomputernotes.com

15. C++ code for delete TreeNode<int>* remove(TreeNode<int>* tree, int info) { TreeNode<int>* t; int cmp = info - *(tree->getInfo()); if( cmp < 0 ){ t = remove(tree->getLeft(), info); tree->setLeft( t ); } else if( cmp > 0 ){ t = remove(tree->getRight(), info); tree->setRight( t ); }  http://ecomputernotes.com

16. C++ code for delete TreeNode<int>* remove(TreeNode<int>* tree, int info) { TreeNode<int>* t; int cmp = info - *(tree->getInfo()); if( cmp < 0 ){ t = remove(tree->getLeft(), info); tree->setLeft( t ); } else if( cmp > 0 ){ t = remove(tree->getRight(), info); tree->setRight( t ); }  http://ecomputernotes.com

17. C++ code for delete //two children, replace with inorder successor else if(tree->getLeft() != NULL && tree->getRight() != NULL ){ TreeNode<int>* minNode; minNode = findMin(tree->getRight()); tree->setInfo( minNode->getInfo() ); t = remove(tree->getRight(), *(minNode->getInfo())); tree->setRight( t ); }  http://ecomputernotes.com

18. C++ code for delete //two children, replace with inorder successor else if(tree->getLeft() != NULL && tree->getRight() != NULL ){ TreeNode<int>* minNode; minNode = findMin(tree->getRight()); tree->setInfo( minNode->getInfo() ); t = remove(tree->getRight(), *(minNode->getInfo())); tree->setRight( t ); }  http://ecomputernotes.com

19. C++ code for delete //two children, replace with inorder successor else if(tree->getLeft() != NULL && tree->getRight() != NULL ){ TreeNode<int>* minNode; minNode = findMin(tree->getRight()); tree->setInfo( minNode->getInfo() ); t = remove(tree->getRight(), *(minNode->getInfo())); tree->setRight( t ); }  http://ecomputernotes.com

20. C++ code for delete //two children, replace with inorder successor else if(tree->getLeft() != NULL && tree->getRight() != NULL ){ TreeNode<int>* minNode; minNode = findMin(tree->getRight()); tree->setInfo( minNode->getInfo() ); t = remove(tree->getRight(), *(minNode->getInfo())); tree->setRight( t ); }  http://ecomputernotes.com

21. C++ code for delete //two children, replace with inorder successor else if(tree->getLeft() != NULL && tree->getRight() != NULL ){ TreeNode<int>* minNode; minNode = findMin(tree->getRight()); tree->setInfo( minNode->getInfo() ); t = remove(tree->getRight(), *(minNode->getInfo())); tree->setRight( t ); }  http://ecomputernotes.com

22. C++ code for delete else { // case 1 TreeNode<int>* nodeToDelete = tree; if( tree->getLeft() == NULL ) // will handle 0 children tree = tree->getRight(); else if( tree->getRight() == NULL ) tree = tree->getLeft(); else tree = NULL; delete nodeToDelete; } return tree; }  http://ecomputernotes.com

23. C++ code for delete else { // case 1 TreeNode<int>* nodeToDelete = tree; if( tree->getLeft() == NULL ) // will handle 0 children tree = tree->getRight(); else if( tree->getRight() == NULL ) tree = tree->getLeft(); else tree = NULL; delete nodeToDelete; } return tree; }  http://ecomputernotes.com

24. C++ code for delete else { // case 1 TreeNode<int>* nodeToDelete = tree; if( tree->getLeft() == NULL ) // will handle 0 children tree = tree->getRight(); else if( tree->getRight() == NULL ) tree = tree->getLeft(); else tree = NULL; delete nodeToDelete; } return tree; }  http://ecomputernotes.com

25. C++ code for delete TreeNode<int>* findMin(TreeNode<int>* tree) { if( tree == NULL ) return NULL; if( tree->getLeft() == NULL ) return tree; // this is it. return findMin( tree->getLeft() ); }  http://ecomputernotes.com

26. C++ code for delete TreeNode<int>* findMin(TreeNode<int>* tree) { if( tree == NULL ) return NULL; if( tree->getLeft() == NULL ) return tree; // this is it. return findMin( tree->getLeft() ); }  http://ecomputernotes.com

27. C++ code for delete TreeNode<int>* findMin(TreeNode<int>* tree) { if( tree == NULL ) return NULL; if( tree->getLeft() == NULL ) return tree; // this is it. return findMin( tree->getLeft() ); }  http://ecomputernotes.com

28. BinarySearchTree.h Let us design the BinarySearchTree class (factory). http://ecomputernotes.com

29. BinarySearchTree.h #ifndef _BINARY_SEARCH_TREE_H_ #define _BINARY_SEARCH_TREE_H_ #include <iostream.h> // For NULL // Binary node and forward declaration template <class EType> class BinarySearchTree;  http://ecomputernotes.com

30. BinarySearchTree.h #ifndef _BINARY_SEARCH_TREE_H_ #define _BINARY_SEARCH_TREE_H_ #include <iostream.h> // For NULL // Binary node and forward declaration template <class EType> class BinarySearchTree;  http://ecomputernotes.com

31. BinarySearchTree.h template <class EType> class BinaryNode { EType element; BinaryNode *left; BinaryNode *right; BinaryNode( const EType & theElement, BinaryNode *lt, BinaryNode *rt ) : element( theElement ), left( lt ), right( rt ) { } friend class BinarySearchTree<EType>; };  http://ecomputernotes.com

32. BinarySearchTree.h template <class EType> class BinaryNode { EType element; BinaryNode *left; BinaryNode *right; BinaryNode( const EType & theElement, BinaryNode *lt, BinaryNode *rt ) : element( theElement ), left( lt ), right( rt ) { } friend class BinarySearchTree<EType>; };  http://ecomputernotes.com

33. BinarySearchTree.h template <class EType> class BinaryNode { EType element; BinaryNode *left; BinaryNode *right; BinaryNode( const EType & theElement, BinaryNode *lt, BinaryNode *rt ) : element( theElement ), left( lt ), right( rt ) { } friend class BinarySearchTree<EType>; };  http://ecomputernotes.com

34. BinarySearchTree.h template <class EType> class BinaryNode { EType element; BinaryNode *left; BinaryNode *right; BinaryNode( const EType & theElement, BinaryNode *lt, BinaryNode *rt ) : element( theElement ), left( lt ), right( rt ) { } friend class BinarySearchTree<EType>; };  http://ecomputernotes.com

35. BinarySearchTree.h template <class EType> class BinarySearchTree { public: BinarySearchTree( const EType& notFound ); BinarySearchTree( const BinarySearchTree& rhs ); ~BinarySearchTree( ); const EType& findMin( ) const; const EType& findMax( ) const; const EType& find( const EType & x ) const; bool isEmpty( ) const; void printInorder( ) const; http://ecomputernotes.com

36. BinarySearchTree.h void insert( const EType& x ); void remove( const EType& x ); const BinarySearchTree & operator= ( const BinarySearchTree & rhs ); http://ecomputernotes.com

37. BinarySearchTree.h private: BinaryNode<EType>* root; // ITEM_NOT_FOUND object used to signal failed finds const EType ITEM_NOT_FOUND; const EType& elementAt( BinaryNode<EType>* t ); void insert(const EType& x, BinaryNode<EType>* & t); void remove(const EType& x, BinaryNode<EType>* & t); BinaryNode<EType>* findMin(BinaryNode<EType>* t); BinaryNode<EType>* findMax(BinaryNode<EType>* t); BinaryNode<EType>* find(const EType& x, BinaryNode<EType>* t ); void makeEmpty(BinaryNode<EType>* & t); void printInorder(BinaryNode<EType>* t); }; #endif http://ecomputernotes.com