private static BinaryTreeNodeWithParent <T> MinNode <T>(BinaryTreeNodeWithParent <T> node) where T : IComparable <T>
{
while (node.Left != null)
{
node = node.Left;
}
return(node);
}
private static BinaryTreeNodeWithParent<int> AddChildren(BinaryTreeNodeWithParent<int> parent, int[] sortedArray)
{
if (sortedArray.Length == 0) return null;
var newNode = new BinaryTreeNodeWithParent<int>(sortedArray[sortedArray.Length / 2]);
newNode.Parent = parent;
newNode.Left = AddChildren(newNode, sortedArray.Take(sortedArray.Length / 2).ToArray());
newNode.Right = AddChildren(newNode, sortedArray.Skip(sortedArray.Length / 2 + 1).ToArray());
return newNode;
}
//Adds all leaves of a binary tree to a given list
private static void GetLeaves(BinaryTreeNodeWithParent <int> origin, ref NodePath leaves)
{
if (origin == null)
{
return;
}
if (origin.Left == null && origin.Right == null)
{
leaves.Add(origin);
return;
}
GetLeaves(origin.Left, ref leaves);
GetLeaves(origin.Right, ref leaves);
}
public static List <NodePath> FindPathsWithSum(this BinaryTreeNodeWithParent <int> root, int sum)
{
var paths = new List <NodePath>();
var leaves = new NodePath();
GetLeaves(root, ref leaves);
foreach (var leaf in leaves)
{
paths.AddRange(GetPathsWithSum(leaf, sum));
}
paths.ForEach(x => x.Reverse());
return(paths.Count != 0 ? paths : null);
}
private static bool CompareNodes <T>(BinaryTreeNodeWithParent <T> subtree, BinaryTreeNodeWithParent <T> tree) where T : IComparable <T>
{
//Check if we are finished...
if (subtree == null && tree == null)
{
return(true);
}
//otherwise compare children
bool left;
if (subtree.Left == null && tree.Left == null)
{
left = true;
}
else if (subtree.Left == null || tree.Left == null)
{
left = false;
}
else
{
left = subtree.Left.Data.CompareTo(tree.Left.Data) == 0;
}
bool right;
if (subtree.Right == null && tree.Right == null)
{
right = true;
}
else if (subtree.Right == null || tree.Right == null)
{
right = false;
}
else
{
right = subtree.Right.Data.CompareTo(tree.Right.Data) == 0;
}
//If both children are null or equal, check their children.
if (left && right)
{
return(CompareNodes(subtree.Left, tree.Left) && CompareNodes(subtree.Right, tree.Right));
}
return(false);
}
//Travel upwards from leaf node and return any path that adds to the sum
//We don't stop when we reach the sum since there may be negative values
private static List <NodePath> GetPathsWithSum(BinaryTreeNodeWithParent <int> node, int sum)
{
NodePath currPath = new NodePath();
int currSum = 0;
List <NodePath> pathsWithSum = new List <NodePath>();
while (node != null)
{
currSum += node.Data;
currPath.Add(node);
if (currSum == sum)
{
pathsWithSum.Add(currPath.ToList()); //ToList to make a copy
}
node = node.Parent;
}
return(pathsWithSum);
}
public static BinaryTreeNodeWithParent <T> GetSuccessor <T>(this BinaryTreeNodeWithParent <T> node) where T : IComparable <T>
{
if (node.Right != null)
{
return(MinNode(node.Right));
}
while (node.Parent != null)
{
BinaryTreeNodeWithParent <T> prev = node;
node = node.Parent;
if (node?.Left == prev)
{
return(node);
}
}
return(null);
}
public static bool IsSubtreeOf <T>(this BinaryTreeNodeWithParent <T> subtreeRoot, BinaryTreeNodeWithParent <T> treeRoot) where T : IComparable <T>
{
if (subtreeRoot == null || treeRoot == null)
{
return(false);
}
BinaryTreeNodeWithParent <T> currNode;
var queue = new Queue <BinaryTreeNodeWithParent <T> >();
queue.Enqueue(treeRoot);
//Iterate through each node and compare it to the first node of the subtree. If they match,
//compare for each child in the subtree.
while (!queue.IsEmpty)
{
currNode = queue.Dequeue();
if (currNode.Data.CompareTo(subtreeRoot.Data) == 0)
{
if (CompareNodes(subtreeRoot, currNode))
{
return(true);
}
}
if (currNode.Left != null)
{
queue.Enqueue(currNode.Left);
}
if (currNode.Right != null)
{
queue.Enqueue(currNode.Right);
}
}
return(false);
}
