bool TreeType::IsFull() const
// Returns true if there is no room for another item
//  on the free store; false otherwise.
{
  TreeNode* location;
  try
  {
    location = new TreeNode;
    delete location;
    return false;
  }
  catch(std::bad_alloc exception)
  {
    return true;
  }
}

bool TreeType::IsEmpty() const
// Returns true if the tree is empty; false otherwise.
{
  return root == NULL;
}

int CountNodes(TreeNode* tree);

int TreeType::LengthIs() const
// Calls recursive function CountNodes to count the
// nodes in the tree.
{
  return CountNodes(root);
}


int CountNodes(TreeNode* tree)
// Post: returns the number of nodes in the tree.
{
  if (tree == NULL)
    return 0;
  else
    return CountNodes(tree->left) + CountNodes(tree->right) + 1;
}

void Retrieve(TreeNode* tree,
     ItemType& item, bool& found);

void TreeType::RetrieveItem(ItemType& item, bool& found)
// Calls recursive function Retrieve to search the tree for item.
{
  Retrieve(root, item, found);
}


void Retrieve(TreeNode* tree,
     ItemType& item, bool& found)
// Recursively searches tree for item.
// Post: If there is an element someItem whose key matches item's,
//       found is true and item is set to a copy of someItem;
//       otherwise found is false and item is unchanged.
{
  if (tree == NULL)
    found = false;                     // item is not found.
  else if (item < tree->info)      
    Retrieve(tree->left, item, found); // Search left subtree.
  else if (item > tree->info)
    Retrieve(tree->right, item, found);// Search right subtree.
  else
  {
    item = tree->info;                 // item is found.
    found = true;
   }
}

void Insert(TreeNode*& tree, ItemType item);

void TreeType::InsertItem(ItemType item)
// Calls recursive function Insert to insert item into tree.
{
  Insert(root, item);
}


void Insert(TreeNode*& tree, ItemType item)
// Inserts item into tree.
// Post:  item is in tree; search property is maintained.
{
  if (tree == NULL)
  {// Insertion place found.
    tree = new TreeNode;
    tree->right = NULL;
    tree->left = NULL;
    tree->info = item;
  }
  else if (item < tree->info)
    Insert(tree->left, item);    // Insert in left subtree.
  else
    Insert(tree->right, item);   // Insert in right subtree.
}
void DeleteNode(TreeNode*& tree);

void Delete(TreeNode*& tree, ItemType item);

void TreeType::DeleteItem(ItemType item)
// Calls recursive function Delete to delete item from tree.
{
  Delete(root, item);
}


void Delete(TreeNode*& tree, ItemType item)
// Deletes item from tree.
// Post:  item is not in tree.
{
  if (item < tree->info)
    Delete(tree->left, item);   // Look in left subtree.
  else if (item > tree->info)
    Delete(tree->right, item);  // Look in right subtree.
  else
    DeleteNode(tree);           // Node found; call DeleteNode.
}   

void GetPredecessor(TreeNode* tree, ItemType& data);

void DeleteNode(TreeNode*& tree)
// Deletes the node pointed to by tree.
// Post: The user's data in the node pointed to by tree is no
//       longer in the tree.  If tree is a leaf node or has only
//       non-NULL child pointer the node pointed to by tree is
//       deleted; otherwise, the user's data is replaced by its
//       logical predecessor and the predecessor's node is deleted.
{
  ItemType data;
  TreeNode* tempPtr;

  tempPtr = tree;
  if (tree->left == NULL)
  {
    tree = tree->right;
    delete tempPtr;
  }
  else if (tree->right == NULL)
  {
    tree = tree->left;
    delete tempPtr;
  }
  else
  {
    GetPredecessor(tree->left, data);
    tree->info = data;
    Delete(tree->left, data);  // Delete predecessor node.
  }
}

void GetPredecessor(TreeNode* tree, ItemType& data)
// Sets data to the info member of the right-most node in tree.
{
  while (tree->right != NULL)
    tree = tree->right;
  data = tree->info;
}

void PrintTree(TreeNode* tree, std::ofstream& outFile)
// Prints info member of items in tree in sorted order on outFile.
{
  if (tree != NULL)
  {
    PrintTree(tree->left, outFile);   // Print left subtree.
    outFile << tree->info;
    PrintTree(tree->right, outFile);  // Print right subtree.
  }
}

void TreeType::Print(std::ofstream& outFile) const
// Calls recursive function Print to print items in the tree.
{
  PrintTree(root, outFile);
}

TreeType::TreeType()
{
  root = NULL;
}

void Destroy(TreeNode*& tree);

TreeType::~TreeType()
// Calls recursive function Destroy to destroy the tree.
{
  Destroy(root);
}


void Destroy(TreeNode*& tree)
// Post: tree is empty; nodes have been deallocated.
{
  if (tree != NULL)
  {
    Destroy(tree->left);
    Destroy(tree->right);
    delete tree;
  }
}

void TreeType::MakeEmpty()
{
  Destroy(root);
  root = NULL;
}


void CopyTree(TreeNode*& copy,
     const TreeNode* originalTree);

TreeType::TreeType(const TreeType& originalTree)
// Calls recursive function CopyTree to copy originalTree
//  into root.
{
  CopyTree(root, originalTree.root);
}

void TreeType::operator=
     (const TreeType& originalTree)
// Calls recursive function CopyTree to copy originalTree
// into root.
{
  {
  if (&originalTree == this)
    return;             // Ignore assigning self to self
  Destroy(root);      // Deallocate existing tree nodes
  CopyTree(root, originalTree.root);
  }

}
void CopyTree(TreeNode*& copy,
     const TreeNode* originalTree)
// Post: copy is the root of a tree that is a duplicate
//       of originalTree.
{
  if (originalTree == NULL)
    copy = NULL;
  else
  {
    copy = new TreeNode;
    copy->info = originalTree->info;
    CopyTree(copy->left, originalTree->left);
    CopyTree(copy->right, originalTree->right);
  }
}
TreeNode* TreeType::PtrToSuccessor_recur(TreeNode*&  tree) {//재귀
	if (tree->left != NULL)
		PtrToSuccessor_recur(tree->left);
	else {
		TreeNode* tempPtr = tree;
		tree = tree->right;
		return tempPtr;
	}
}