private bool IsIdeallyBalanced(BiTrNode root)
{
long leftTrNodeCount = 0;
long rightTrNodeCount = 0;
if (root == null)
{
return(true);
}
if (root.LeftChild != null)
{
leftTrNodeCount = CountNodesDFS(root.LeftChild);
}
if (root.RightChild != null)
{
rightTrNodeCount = CountNodesDFS(root.RightChild);
}
if (Math.Abs(leftTrNodeCount - rightTrNodeCount) <= 1 &&
IsIdeallyBalanced(root.LeftChild) == true && IsIdeallyBalanced(root.RightChild) == true)
{
return(true);
}
return(false);
}
private int CountNodesDFS(BiTrNode root)
{
int nodesCount = 1;
Stack <BiTrNode> presentNodes = new Stack <BiTrNode>();
presentNodes.Push(root);
while (presentNodes.Count > 0)
{
BiTrNode currentNode = presentNodes.Pop();
if (currentNode.LeftChild != null)
{
presentNodes.Push(currentNode.LeftChild);
nodesCount++;
}
if (currentNode.RightChild != null)
{
presentNodes.Push(currentNode.RightChild);
nodesCount++;
}
}
return(nodesCount);
}
public static void Main(string[] args)
{
string rawTree = Console.ReadLine();
BiTrNode root = ParseTree(rawTree);
BiTree tree = new BiTree(root);
Console.WriteLine(tree.IsIdeallyBalanced());
}
public BiTree(BiTrNode value)
{
if (value == null)
{
throw new ArgumentNullException("Cannot insert null value!");
}
this.root = value;
}
public BiTrNode(int value, BiTrNode leftChild, BiTrNode rightChild)
{
if (value == null)
{
throw new ArgumentNullException("Cannot insert null value!");
}
this.value = value;
this.LeftChild = leftChild;
}
public BiTree(int value, BiTree leftChild, BiTree rightChild)
{
if (value == null)
{
throw new ArgumentNullException("Cannot insert null value!");
}
BiTrNode leftChildNode = leftChild != null ? leftChild.root : null;
BiTrNode rightChildNode = rightChild != null ? rightChild.root : null;
this.root = new BiTrNode(value, leftChildNode, rightChildNode);
}
public static BiTrNode ParseTree(string tree)
{
if (tree.Contains("->") == false)
{
int currValue = int.Parse(tree);
return(new BiTrNode(currValue));
}
string cleanTree = tree.Substring(1, tree.Length - 2);
string[] currentNodes = cleanTree.Split(new string[] { "->" }, 2, StringSplitOptions.RemoveEmptyEntries);
BiTrNode presentNode = new BiTrNode(int.Parse(currentNodes[0]));
if (currentNodes[1].Contains("->") == true)
{
List <string> children = GetChildren(currentNodes[1]);
if (children[0] != "x")
{
presentNode.LeftChild = ParseTree(children[0]);
}
if (children[1] != "x")
{
presentNode.RightChild = ParseTree(children[1]);
}
}
else
{
string[] leafs = currentNodes[1].Split(new char[] { ',' }, StringSplitOptions.RemoveEmptyEntries);
if (leafs[0] != "x")
{
int leafValue = int.Parse(leafs[0]);
presentNode.LeftChild = new BiTrNode(leafValue);
}
if (leafs[1] != "x")
{
int leafValue = int.Parse(leafs[0]);
presentNode.RightChild = new BiTrNode(leafValue);
}
}
return(presentNode);
}
