//find the common ancestor of x and y: Do tree find;go down the tree until you find a node where you have to choose different path- this node is common ancestor
public int commonAncestor(treeNode node, int x, int y)
{
if (node == null)
{
return(-1); //error
}
treeNode ancestor = node;
while (node != null)
{
if (node.value == x || node.value == y)
{
return(node.value);
}
if (x > node.value && y > node.value)
{
node = node.right;
}
else if (x < node.value && y < node.value)
{
node = node.left;
}
else
{
return(node.value);
}
}
return(-1);
}
// left is small, right is large - this is IMP
//fix m on the way down (while node is finding the right location)
public void InsertIntoTree(int pVal, int pHighVal, treeNode node)
{
treeNode tmp;
if (node == null)
{
return;//error
}
if (pVal > node.lowValue)
{
//update node's mValue
if (node.maxValue < pHighVal)
{
node.maxValue = pHighVal;
}
if (node.right == null)
{
tmp = new treeNode();
tmp.lowValue = pVal;
tmp.highValue = pHighVal;
tmp.maxValue = pHighVal;
tmp.left = null;
tmp.right = null;
node.right = tmp;
}
else
{
InsertIntoTree(pVal, pHighVal, node.right);
}
}
else if (pVal <= node.lowValue)
{
//update node's mValue
if (node.maxValue < pHighVal)
{
node.maxValue = pHighVal;
}
if (node.left == null)
{
tmp = new treeNode();
tmp.lowValue = pVal;
tmp.highValue = pHighVal;
tmp.maxValue = pHighVal;
tmp.left = null;
tmp.right = null;
node.left = tmp;
}
else
{
InsertIntoTree(pVal, pHighVal, node.left);
}
}
else
{
Console.WriteLine("Issue with insert {0} {1}", pVal, pHighVal);
return; //error does not take care of situation of duplicate lowValues
}
}
//check whether current node overlaps and add to output
public void CheckOverlap(treeNode node, int pLowVal, int pHighVal)
{
if (node.lowValue > pLowVal && node.lowValue < pHighVal || node.highValue > pLowVal && node.highValue < pHighVal)
{
Console.WriteLine("Overlap found {0} {1}", node.lowValue, node.highValue);
}
//TODO take care of = ; if they start or end at the same time there need not be an overlap, so need to take care of this.
}
public void InOrderSearch(treeNode pNode)
{
if (pNode == null)
{
return;
}
InOrderSearch(pNode.left);
Console.WriteLine(pNode.value);
InOrderSearch(pNode.right);
}
public void InOrderSearch(treeNode pNode)
{
if (pNode == null)
{
return;
}
InOrderSearch(pNode.left);
Console.WriteLine("Low Value {0} High Value {1}", pNode.lowValue, pNode.highValue);
InOrderSearch(pNode.right);
}
//Assuming updates to the child's (being promoted) left or right is done after calling this function
public void UpdateParent(treeNode parentNode, treeNode node, bool isLeftParent, bool isLeftChild)
{
if (parentNode == null)
{
return;
}
if (node == null)
{
Console.WriteLine(" ERROR!! Null node in Update Parent. No Delete Operation done! ");
return;
}
if (isLeftParent)
{
if (isLeftChild)
{
if (node.left != null)
{
node.left.right = node.right; //TODO do the same for all cases
}
parentNode.left = node.left;
}
else
{
if (node.right != null)
{
node.right.left = node.left;
}
parentNode.left = node.right;
}
}
else //isLeftParent==false
if (isLeftChild)
{
if (node.left != null)
{
node.left.right = node.right;
}
parentNode.right = node.left;
}
else
{
if (node.right != null)
{
node.right.left = node.left;
}
parentNode.right = node.right;
}
//free node
node = null;
}
//Hw3Given sorted binary tree and 2 INT return total number of nodes in graph between teh 2 INTs
public void SearchForINTRange(treeNode pNode, int start, int end)
{
//Inorder search finds elements in order, starting with max element; so modify Inorder
if (pNode == null)
{
return;
}
SearchForINTRange(pNode.left, start, end);
if (pNode.value >= start && pNode.value <= end)
{
Console.WriteLine(pNode.value);
}
SearchForINTRange(pNode.right, start, end);
}
public treeNode FindParentOfInorderSucc(treeNode node)
{
//Find parent of Inorder successor instead of Inorder succ since we want to deal with cases where inorder succ has a right child
//Also we know that inorder succ is left child of parent.
if (node == null || node.left == null)
{
return(node); // this should never happen
}
treeNode inOrderSuccParent = node;
while (inOrderSuccParent.left != null && inOrderSuccParent.left.left != null)
{
inOrderSuccParent = inOrderSuccParent.left;
}
return(inOrderSuccParent);
}
//This function prints out all intervals that overlaps pLowVal and pHighVal
public void IntervalSearch(treeNode node, int pLowVal, int pHighVal)
{
if (node == null)
{
return;
}
CheckOverlap(node, pLowVal, pHighVal); //check overlap with current node)
//go left if plowVal<node.lowVal || node.left.m>plowVal - the second condition exist because the high value could exist in left; added= afterwards for duplicate support
if (node.left != null && (pLowVal <= node.lowValue || node.left.maxValue >= pLowVal))
{
IntervalSearch(node.left, pLowVal, pHighVal);
}
//go right if plowVal>node.lowVal;added= afterwards for duplicate support
if (node.right != null && pLowVal >= node.lowValue)
{
IntervalSearch(node.right, pLowVal, pHighVal);
}
}
// left is small, right is large - this is IMP
public void InsertIntoTree(int pVal, treeNode node)
{
treeNode tmp;
if (node == null)
{
return; //error
}
if (pVal > node.value)
{
if (node.right == null)
{
tmp = new treeNode();
tmp.value = pVal;
tmp.left = null;
tmp.right = null;
node.right = tmp;
}
else
{
InsertIntoTree(pVal, node.right);
}
}
else if (pVal < node.value)
{
if (node.left == null)
{
tmp = new treeNode();
tmp.value = pVal;
tmp.left = null;
tmp.right = null;
node.left = tmp;
}
else
{
InsertIntoTree(pVal, node.left);
}
}
else
{
return; //value already exist; assume no duplicates
}
}
public void BuildTree(int[] pVal)
{
//build binary search tree
if (pVal == null || pVal.Length == 0)
{
root = null;
}
foreach (int i in pVal)
{
if (root == null)
{
root = new treeNode();
root.value = i;
root.left = null;
root.right = null;
}
else
{
InsertIntoTree(i, root);
}
}
}
public void BuildTree(int[] pVal, int[] pHighVal)
{
//build binary search tree
if (pVal == null || pVal.Length == 0)
{
root = null;
}
for (int i = 0; i < pVal.Count(); i++)
{
if (root == null)
{
root = new treeNode();
root.lowValue = pVal[i];
root.highValue = pHighVal[i];
root.left = null;
root.right = null;
}
else
{
InsertIntoTree(pVal[i], pHighVal[i], root);
}
}
}
public void DeleteFromTree(int pVal, treeNode node, treeNode parentNode, bool isLeft)
{
//Find the node
//case 1: no right child: replace the pointer leading to p by p's left child, if it has one, or by a null pointer, if not.
//case 2: p's right child has no left child: Replace p with right child r
//case 3: p's right child has a left child: Replace p with inorder successor (node with next biggest number=smallest value in p's right sub tree).
//We can easily detach inorder successor s from its position:Since s has the smallest value in p's right subtree, s cannot have a left child. Because s doesn't have a left child, we can simply replace it by its right child, if any. This is the mirror image of case 1
if (node == null)
{
return; //error
}
if (pVal < node.value)
{
if (node.left != null)
{
DeleteFromTree(pVal, node.left, node, true);
}
}
else if (pVal > node.value)
{
if (node.right != null)
{
DeleteFromTree(pVal, node.right, node, false);
}
}
else
{
//found node
if (node.right == null)
{
//case1 replace the pointer leading to p by p's left child
UpdateParent(parentNode, node, isLeft, true);
}
else if (node.right.left == null)
{
//case2 replace the pointer leading to p with right child r
UpdateParent(parentNode, node, isLeft, false);
}
else
{
//case3 Replace the pointer leading to p with inorder successor (node with next biggest number=smallest value in p's right sub tree).
treeNode inOrderSuccParent = FindParentOfInorderSucc(node.right);
if (inOrderSuccParent == null || inOrderSuccParent.left == null)
{
//this should never happen!
Console.WriteLine("Error! No inorder successor found. Delete Operation failed");
return;
}
//save inordersuccessor Right
treeNode inOrderSuccRight = inOrderSuccParent.left.right;
if (isLeft)
{
parentNode.left = inOrderSuccParent.left;
parentNode.left.right = node.right;
}
else
{
parentNode.right = inOrderSuccParent.left;
parentNode.right.right = node.right;
}
//inOrderSucc cannot have a left child; so update left child
inOrderSuccParent.left.left = node.left;
//IMP: put the right child as the left child of InorderSuc's parent for cases where there is a right child for inorder succ
inOrderSuccParent.left = inOrderSuccRight;
//free node
node = null;
}
}
}
public Tree()
{
root = null;
}
