public void Balance()
{
Queue<IComparable> treeData = GetIorderQueue();
nodeData = treeData.ToArray();
root = null; // delete old tree and then start all over again
balanceInsert(0, nodeData.Length - 1);
}
private static bool recIsBst(BSTNode node, int min, int max)
{
//an empty tree is an BST
if (node == null) return true;
if (node.data.CompareTo(min) < 0 || node.data.CompareTo(max) > 0)
return false;
return recIsBst(node.left, min, (int) node.data) && recIsBst(node.right, (int) node.data + 1, max) ;
}
private static int checkHeight(BSTNode node)
{
if (node == null) return 0; //height of 0
int leftHeight = checkHeight(node.left);
if (leftHeight == -1) return -1; // not balanced
int rightHeight = checkHeight(node.right);
if (rightHeight == -1) return -1; // not balanced
int heightDiff = leftHeight - rightHeight; // check if current node is balanced
if (Math.Abs(heightDiff) > 1)
return -1;
return Math.Max(leftHeight, rightHeight) + 1; //return height
}
private static BSTNode recInsert(IComparable item, BSTNode tree)
{
if (tree == null)
{
tree = new BSTNode {left = null, right = null, info = item};
}
else if (item.CompareTo(tree.info) < 0)
{
tree.left = recInsert(item, tree.left); //insert at the left
}
else
{
tree.right = recInsert(item, tree.right); // insert at right
}
return tree;
}
private static int recNumberOfNodes(BSTNode tree)
{
//return tree == null ? 0 : recNumberOfNodes(tree.left) + recNumberOfNodes(tree.right) + 1;
if (tree == null)
return 0;
else if (tree.left == null && tree.right == null)
return 1;
else if (tree.left == null)
{
return recNumberOfNodes(tree.right) + 1; //search right of sub tree
}
else if (tree.right == null)
{
return recNumberOfNodes(tree.left) + 1; //search left of sub tree
}
else
{ //both left and right are present
return recNumberOfNodes(tree.left) + recNumberOfNodes(tree.right) + 1;
}
}
public void Insert(IComparable item)
{
root = recInsert(item, root);
}
private IComparable recRetrive(IComparable item, BSTNode tree)
{
if (item.CompareTo(tree.info) < 0)
return recRetrive(item, tree.left);
else if (item.CompareTo(tree.info) > 0)
return recRetrive(item, tree.right);
else
return tree.info;
}
public BST()
{
root = null;
}
private static BSTNode recInsert(BSTNode node, IComparable item)
{
if (node == null) //base case
return new BSTNode {data = item};
if (item.CompareTo(node.data) < 0) //go to left
node.left = recInsert(node.left, item);
if (item.CompareTo(node.data) > 0) // go to right
node.right = recInsert(node.right, item);
return node;
}
private bool recIsThere(IComparable item, BSTNode tree)
{
if (tree == null)
return false;
if (item.CompareTo(tree.info) < 0)
return recIsThere(item, tree.left);
else if (item.CompareTo(tree.info) > 0)
return recIsThere(item, tree.right);
else
return true;
}
private BSTNode deleteNode(BSTNode tree)
{
if (tree.right == null && tree.left == null) // delete the leaf node
return null;
else if (tree.left == null) // node to be delete doesnt have left child so return right one
return tree.right;
else if (tree.right == null) // no right child so return left
return tree.left;
else
{
IComparable temp = getDescendentValue(tree.left); // get data to be replaced
tree.data = temp; // copy that data
tree.left = recDelete(temp, tree.left);
return tree;
}
}
private BSTNode recDelete(IComparable item, BSTNode tree)
{
if (item.CompareTo(tree.data) < 0) // go left
tree.left = recDelete(item, tree.left);
else if (item.CompareTo(tree.data) > 0) // go right
tree.right = recDelete(item, tree.right);
else
tree = deleteNode(tree); // found the node .. so go ahead and delete it
return tree;
}
private void inOrder(BSTNode tree)
{
if (tree == null) return;
inOrder(tree.left);
inOrderQueue.Enqueue(tree.data);
inOrder(tree.right);
}
public void Insert(IComparable item)
{
root = recInsert(root, item);
}
private static void printPath(IComparable[] toPrintNodes, BSTNode tree, int len)
{
if (tree == null) return;
toPrintNodes[len] = tree.data;
len++;
if (tree.left == null && tree.right == null)
printTree(toPrintNodes, len);
else
{
printPath(toPrintNodes, tree.left, len);
printPath(toPrintNodes, tree.right, len);
}
}
private static int find_NodeLevel(BSTNode tree, IComparable item)
{
int level = 0;
while (tree != null)
{
if (item.CompareTo(tree.data) == 0)
return level++;
if (item.CompareTo(tree.data) < 0) // if item less go left
{
tree = tree.left;
level++;
}
else if (item.CompareTo(tree.data) > 0) // go right
{
tree = tree.right;
level++;
}
}
return level;
}
private static IComparable getDescendentValue(BSTNode tree)
{
while (tree.right != null)
{
tree = tree.right;
}
return tree.data;
}
public void Delete(IComparable item)
{
root = recDelete(item, root);
}
public BinarySearchTree()
{
root = null;
}