Binary Search Tree Remove Function - c#

I am creating a remove funciton for a binary search tree and ran into a question.
private BinaryTreeNode<T> BinaryDelete(BinaryTreeNode<T> root, T value)
{
if (root == null)
{
return root;
}
int compareResult = value.CompareTo(root.Value);
if (compareResult < 0)
{
root.Left = this.BinaryDelete(root.Left, value);
}
else if (compareResult > 0)
{
root.Right = this.BinaryDelete(root.Right, value);
}
else
{
if (root.Left == null)
{
return root.Right;
}
else if (root.Right == null)
{
return root.Left;
}
root.Value = this.FindMinLeftLeaf(root.Left);
root.Left = this.BinaryDelete(root.Left, root.Value);
}
return root;
}
private T FindMinLeftLeaf(BinaryTreeNode<T> root)
{
while (root.Left != null)
{
root = root.Left;
}
return root.Value;
}
So, basically, root.Value = this.FindMinLeftLeaf(root.Left); is searching in the left child of the root. While I was studying, I've saw some examples, where the search is done in the right child, so its kinda confusing.
In short:
Are those two lines supposed to be like that
root.Value = this.FindMinLeftLeaf(root.Right);
root.Right= this.BinaryDelete(root.Right, root.Value)
or the way I have them in the first example?

Related

C# Increasing performance of a Linked List

I'm working on SPOJ problem where you have to write an algorithm that based on input string conditions outputs new string, but you can't exceede time limit.
problem link
The fastest i could get was by using two stacks, but time limit was still exceeded, now I tried implementing doubly linked list, but it's twice slower than when I used stack. Do you have any idea on how can I increase performance of implemented linked list, or maybe should I use other data structure for this problem? Thought of implementing Node as a structure but not really sure if you can do that.
using System;
namespace spoj
{
class LinkedList
{
private Node head;
private Node tail;
private int length;
public Node Head { get => head; }
public Node Tail { get => tail; }
public int Length { get => length; }
public LinkedList(Node head = null, Node tail = null, int length = 0)
{
this.head = head;
this.tail = tail;
this.length = length;
}
public void AddFirst(char value)
{
var addFirst = new Node(value);
addFirst.Next = head;
addFirst.Previous = null;
if (head != null)
head.Previous = addFirst;
head = addFirst;
length++;
}
public void Remove(Node node)
{
if (node.Previous == null)
{
head = node.Next;
head.Previous = null;
length--;
}
else if (node.Next == null)
{
tail = node.Previous;
tail.Next = null;
length--;
}
else
{
Node temp1 = node.Previous;
Node temp2 = node.Next;
temp1.Next = temp2;
temp2.Previous = temp1;
length--;
}
}
public void AddAfter(Node node, char input)
{
var newNode = new Node(input);
if (node.Next == null)
{
node.Next = newNode;
newNode.Previous = node;
length++;
}
else
{
Node temp1 = node;
Node temp2 = node.Next;
temp1.Next = newNode;
newNode.Previous = temp1;
newNode.Next = temp2;
temp2.Previous = newNode;
length++;
}
}
public string Print()
{
string temp = "";
if (head == null)
return temp;
for (int i = 0; i < length; i++)
{
temp += head.Value;
head = head.Next;
}
return temp;
}
}
class Node
{
private char value;
private Node next;
private Node previous;
public char Value { get => value; }
public Node Next { get => next; set { next = value; } }
public Node Previous { get => previous; set { previous = value; } }
public Node(char value)
{
this.value = value;
next = null;
previous = null;
}
}
class Program
{
static void Main(string[] args)
{
int testNum = Int32.Parse(Console.ReadLine());
for (int i = 0; i < testNum; i++)
{
var list = new LinkedList();
string input = Console.ReadLine();
var node = list.Head;
for (int j = 0; j < input.Length; j++)
{
if ((input[j] == '<' && node == null) | (input[j] == '>' && (node == null || node.Next == null)) | (input[j] == '-' && (node == null || node.Previous == null)))
continue;
else if (input[j] == '<')
{
node = node.Previous;
}
else if (input[j] == '>')
{
node = node.Next;
}
else if (input[j] == '-')
{
node = node.Previous;
list.Remove(node.Next);
}
else
{
if (node == null)
{
list.AddFirst(input[j]);
node = list.Head;
continue;
}
list.AddAfter(node, input[j]);
node = node.Next;
}
}
Console.WriteLine(list.Print());
}
}
}
}
An implementation using a linked list will not be as fast as one that uses StringBuilder, but assuming you are asking about a linked list based implementation I would suggest not to reimplement LinkedList. Just use the native one.
This means you don't have to change much in your code, just this:
Define the type of the list nodes as char: new LinkedList<char>();
Instead of .Head use .First
Instead of .Print use string.Join("", list)
However, there are these problems in your code:
When the input is >, you should allow the logic to execute when node is null. Currently you continue, but a null may mean that your "cursor" is in front of the non-empty list, so you should still deal with it, and move the "cursor" to list.First
When the input is -, you should still perform the removal even when node.Previous is null, because it is not the previous node that gets removed, but the current node. We should imagine the cursor to be between two consecutive nodes, and your removal logic shows that you took as rule that the cursor is between the current node and node.Next. You could also have taken another approach (with the cursor is just before node), but important is that all your logic is consistent with this choice.
When executing the logic for - -- in line with the previous point -- you should take into account that node.Previous could be null, and in that case you cannot do the removal as you have it. Instead, you could first assign the node reference to a temporary variable, then move the cursor, and then delete the node that is referenced by the temporary reference.
Here is the corrected code, using the native LinkedList implementation. I moved the logic for doing nothing (your continue) inside each separate case, as I find that easier to understand/debug:
using System;
using System.Collections.Generic;
public class Test
{
public static void Main()
{
int testNum = Int32.Parse(Console.ReadLine());
for (int i = 0; i < testNum; i++)
{
var list = new LinkedList<char>();
string input = Console.ReadLine();
var node = list.First;
for (int j = 0; j < input.Length; j++)
{
if (input[j] == '<')
{
if (node != null)
node = node.Previous;
}
else if (input[j] == '>')
{
if (node == null || node.Next != null)
node = node == null ? list.First : node.Next;
}
else if (input[j] == '-')
{
if (node != null) {
var temp = node;
node = node.Previous;
list.Remove(temp);
}
}
else
{
node = node == null ? list.AddFirst(input[j])
: list.AddAfter(node, input[j]);
}
}
Console.WriteLine(string.Join("", list));
}
}
}

What 's the best solution to find an element in a deepest binary tree

Recently I had an interview question about finding an element in a binary tree. I coded both recursive and iterative solutions with C# but the problem was that in test cases when we have a tree with 1000000 nodes and all of them are on the left side. The interviewer said to me that my solutions (recursive and iterative) didn't save memory RAM enough for this case and I don't understand how to improve my solution.
// recusive Mode
public Node Find(int v)
{
if(v == value)
{
return this;
}else if(v <value){
if (left == null) return null;
return left.Find(v);
}else{
if (right == null) return null;
return right.Find(v);
}
}
// iterative
public Node Find(int v)
{
Node current = this;
while(value != v && current != null)
{
if (v < current.value)
{
if (current.left == null){ current = null};
else{current = current.left};
}
else
{
if (current.right == null) { current = null};
else{current = current.right };
}
}
return current;
}
Your iterative solution has some bugs in it.
// iterative
public Node Find(int v)
{
Node current = this;
// Here you need to compare current.value instead of just value
// Also, to use short-circuiting you need to put null-check first
// otherwise you might access current.value while current is null
while(current != null && current.value != v)
{
if (v < current.value)
{
//if (current.left == null){ current = null};
//else{current = current.left};
current = current.left; // the same as two commented out lines
}
else
{
//if (current.right == null) { current = null};
//else{current = current.right };
current = current.right; // the same as two commented out lines
}
}
return current;
}

C# Binary Search Tree giving Incorrect Majority Element

The main reason I'm using the BST is to get the Majority Element, being the Value > Array.Length / 2.
So, if we have an array of 5 elements, there must be a minimum of at least 3 to be considered the majority.
Now the problem I am facing at the moment is that the Majority Element is being chosen for whichever element is first in the Array.
This is the code below:
public Node nnde(Node root)
{
if (root== null)
{
root= newNode;
size++;
return root;
}
if (elm < root.elm)
{
if (root.lft != null)
{
InsertNewNode(root.lft, elm);
}
else
{
root.lft = new Node(elm);
}
}
else if (elm> root.rght)
{
if (root.rght != null)
{
InsertNewNode( root.rght, elm);
}
else
{
root.rght = new Node(elm);
}
}
return root;
}
Elements in the array: 2 0 1 2 1
There should be no majority element, however, the BST I currently programmed is showing it as 2.
After some time trying to figure out what the problem could actually be, the realization that I had forgotten to insert a simple size++ in the InsertNewNode() method came to me.
Code edited is as follows:
if (elm < root.lft)
{
if (root.lft != null)
{
root.lft = InsertNewNode(root.lft, elm);
}
else
{
root.lft = new Node(elm);
size++;
}
}
else if (elm > root.rght)
{
if (root.rght != null)
{
root.rght = InsertNewNode(root.rght, elm);
}
else
{
root.rght = new Node(elm);
size++;
}
}

Binary tree recursive search by node content does not return correct node

I have a binary tree class.
I need to find a first occurrence of a node with some specified content and return this node using recursion.
For example Find("B") should find a first occurrence of a node with content "B".
public Node Find(string content)
{
Node aux = null;
bool found = false;
if (this.left != null)
{
this.left.Find(content);
}
if (found != true)
{
if (content == this.content)
{
found = true;
return aux = this;
}
}
if (this.right != null)
{
this.right.Find(content);
}
return aux;
}

How to print a given node from a Binary Search Tree?

How do I print out a given node from my binary search tree using a method called PrintNodes.
Here is my Node class:
public class Node
{
public string data;
public Node left;
public Node right;
public Node(string data)
{
this.data = data;
}
}
And here is my Binary Search Tree Class:
class BinarySearchTree
{
public Node root, current;
public BinarySearchTree()
{
this.root = null;
}
public void AddNode(string a) // code to insert nodes to the binary search tree
{
Node newNode = new Node(a); //create a new node
if (root == null) // if the tree is empty new node will be the root node
root = newNode;
else
{
Node previous;
current = root;
while (current != null)
{
previous = current;
if (string.Compare(a, current.data) < 0) //if the new node is less than the current node
{
current = current.left;
if (current == null)
previous.left = newNode;
}
else //if the new node is greater than the current node
{
current = current.right;
if (current == null)
previous.right = newNode;
}
}
}
}
This is the what I have so far for my PrintNodes method, but I just realised that its not actually printing the given node its just printing the string that I pass into the method(I'm really new to this as you can see)
public String PrintNodes(string a)
{
string Output = "";
if (a != null)
{
Output += "Node: " + a;
}
else
{
Output += "There is no node " + a;
}
return Output;
}
I know I have to somehow compare the string that is passed into the method to the node I am trying to print but I have no clue what to do my mind has gone blank.
Your Find method would look something like this:
public Node Find(key, root)
{
Node current-node = root;
while (current-node != null)
{
if (current-node.data == key)
return current-node;
else if (key < current-node.data)
current-node = current-node.left;
else
current-node = current-node.right;
}
return null;
}
Your PrintNodes method could then be:
public String PrintNodes(string a)
{
string Output = "";
Node theNode = Find(a);
if (Node != null)
{
Output += "Node: " + theNode.data;
}
else
{
Output += "There is no node " + a;
}
return Output;
}
Cheers
EDIT: I assume that your Node object will have some other "payload" attached to it, as right now you're simply printing the search string if found :-)
I believe that you need to find some string in the tree and print it.
if it is
here is a pseudo code
public String PrintNodes(string a , Node root)
{
string Output = "";
if( a == null )
return "string is empty";
Node curent;
curent = root;
while( curent != null )
{
compVal = string.Compare(a, current.data)
if ( compVal < 0 )
{
//goto leftNode
curent = curent.left
}
else if ( compVal > 0 )
{
//goto rightNode
curent = curent.right
}
else
{
//this is it
break;
}
}
if curent == null
return "string not found";
else
return
curent.data;
}

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