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++;
}
}
Related
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));
}
}
}
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?
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;
}
EDIT:
Right thanks for helping earlier, I have been using and the step into and step over and it looks to be working but the nodes are not being deleted and I'm not sure why.
I actually use 5 arguments for the BST but just using the one for testing purposes. It compares and finds if it has any children no problem. Just wont set it to null.
only testing nodes with 0 or 1 children.
main
Tree aTree = new Tree();
aTree.InsertNode("a");
aTree.InsertNode("s");
aTree.InsertNode("3");
aTree.InsertNode("1");
aTree.InsertNode("p");
aTree.PreorderTraversal();
aTree.RemoveNode("p");
aTree.RemoveNode("3");
aTree.PreorderTraversal();
Console.ReadKey();
My Delete Methods are:
Tree Node
public void Remove(TreeNode root, TreeNode Delete) {
if (Data == null) {
}
if (Delete.Data.CompareTo(root.Data) < 0) {
root.nodeLeft.Remove(root.nodeLeft, Delete);
}
if (Delete.Data.CompareTo(root.Data) > 0) {
root.nodeRight.Remove(root.nodeRight, Delete);
}
if (Delete.Data == root.Data) {
//No child nodes
if (root.nodeLeft == null && root.nodeRight == null) {
root = null;
}
else if (root.nodeLeft == null)
{
TreeNode temp = root;
root = root.nodeRight;
root.nodeRight = null;
temp = null;
}
//No right child
else if (root.nodeRight == null)
{
TreeNode temp = root;
root = root.nodeLeft;
root.nodeLeft = null;
temp = null;
}
//Has both child nodes
else
{
TreeNode min = minvalue(root.nodeRight);
root.Data = min.Data;
root.nodeRight.Remove(root.nodeRight, min);
}
}
}
Find Min
public TreeNode minvalue(TreeNode node)
{
TreeNode current = node;
/* loop down to find the leftmost leaf */
while (current.nodeLeft != null)
{
current = current.nodeLeft;
}
return current;
}
Tree
public void RemoveNode(string Nation)
{
TreeNode Delete = new TreeNode(Nation);
root.Remove(root, Delete);
}
Remove is of return type void, but you're trying to assign it to root.nodeLeft and root.nodeRight, causing your type conversion error.
In general your Remove function needs to return the root of the sub-tree as the result, as in
public void Remove(TreeNode root, TreeNode Delete) {
if (Data == null) {
return null;
}
if (Delete.Data.CompareTo(root.Data) < 0) {
root.nodeLeft = (root.nodeLeft.Remove(root.nodeLeft, Delete));
return root;
}
... and so on.
Otherwise, since your nodes don't refer to their parents, there would be no way for the parent to know that the child node is gone, or that a new node is now at the root of the sub-tree.
I have a Doubly Linked List and I method which is supposed to remove a given node. It originally worked with my 3 test nodes when I originally developed the code but when I added more Nodes to the Doubly Linked List it stopped working, now I am getting an NullReferenceException:"Object reference not set to an instance of an object" I know I could just use a generic linked list but I am trying to learn how doubly linked lists work.
I will mark the line in my code where I am getting this exception with "**" at the beginning of the line(it is in the RemoveNode method in the Doubly Linked List class).
Here is my code:
Doubly Linked List class:
class DoublyLinkedList
{
public Node head, current;
public void AddNode(object n) // add a new node
{
if (head == null)
{
head = new Node(n); //head is pointed to the 1st node in list
current = head;
}
else
{
while (current.next != null)
{
current = current.next;
}
current.next = new Node(n, current); //current is pointed to the newly added node
}
}
public Node FindNode(object n) //Find a given node in the DLL
{
current = head;
while ((current != null) && (current.data != n))
current = current.next;
if (current == null)
return null;
else
return current;
}
public string RemoveNode(object n)//remove nodes
{
String Output = "";
if (head == null)
{
Output += "\r\nLink list is empty";
}
else
{
current = FindNode(n);
if (current == null)
{
Output += "Node not found in Doubly Linked List\r\n";
}
else
{
****current.next.prev = current.prev;**
current.prev.next = current.next;
current.prev = null;
current.next = null;
Output += "Node removed from Doubly Linked List\r\n";
}
}
return Output;
}
public String PrintNode() // print nodes
{
String Output = "";
Node printNode = head;
if (printNode != null)
{
while (printNode != null)
{
Output += printNode.data.ToString() + "\r\n";
printNode = printNode.next;
}
}
else
{
Output += "No items in Doubly Linked List";
}
return Output;
}
}
Node class:
class Node
{
public Node prev, next; // to store the links
public object data; // to store the data in a node
public Node()
{
this.prev = null;
this.next = null;
}
public Node(object data)
{
this.data = data;
this.prev = null;
this.next = null;
}
public Node(object data, Node prev)
{
this.data = data;
this.prev = prev;
this.next = null;
}
public Node(object data, Node prev, Node next)
{
this.data = data;
this.prev = prev;
this.next = next;
}
}
I got it working. Although I slightly altered you logic. I use the current field to mark a tail and for searching I use a separate variable. Now, I tested it with integer values and what caused a problem was the line where you compare values
(current.data != n)
where you can get that 10 != 10 because the values are boxed and references differs. Just use current.data.Equals(n) instead. Equals() is a virtual method that bubbles down to the real objects and compares data rather then references.
Furthermore, your removing logic has to be more complex. You can also do it more readable by removing all those necessary if/else statements.
public void AddNode(object n) // add a new node
{
if (head == null)
{
head = new Node(n); //head is pointed to the 1st node in list
current = head;
}
else
{
var newNode = new Node(n, current);
current.next = newNode;
current = newNode; //current is pointed to the newly added node
}
}
public Node FindNode(object n) //Find a given node in the DLL
{
var index = head;
while (index != null)
{
if (index.data.Equals(n))
break;
index = index.next;
}
return index ?? null;
}
public string RemoveNode(object n) //remove node
{
if (head == null)
return "\r\nLink list is empty";
var node = FindNode(n);
if (node == null)
return "Node not found in Doubly Linked List\r\n";
if (node != head)
node.prev.next = node.next;
if (node.next != null)
node.next.prev = node.prev;
return "Node removed from Doubly Linked List\r\n";
}
Do you try to delete an object from a list with only one Element (= head)? You got an error there, check your delete routine. You're receiving an element by using FindNode (which will then return your head node), afterwards you're calling current.prev.next = current.next;, which will fail because your headnode has neither a previous nor next node.
I'd assume your remove function should look similar to this:
public string RemoveNode(object n)//remove nodes
{
String Output = "";
if (head == null)
{
Output += "\r\nLink list is empty";
}
else
{
var toRemove = FindNode(n);
if (toRemove == null)
{
Output += "Node not found in Doubly Linked List\r\n";
}
else
{
if(toRemove.prev != null)
toRemove.prev.next = toRemove.next != null ? toRemove.Next : null;
if(toRemove.next != null)
toRemove.next.prev = toRemove.prev != null ? toRemove.prev : null;
Output += "Node removed from Doubly Linked List\r\n";
}
}
return Output;
}