I am trying to do runtime analysis for the class "SlowMaxStack"'s method IsEmpty(), Push(), Pop(), and getMaxSoFar().
Here is my guess, but I'm not sure about the answer is correct and I also doubt about my reasoning.
IsEmpty(): o(1), simply check the top node. constant
Push(): o(1), simply putting the data in the top node. constant
Pop(): o(1), guessing this might be o(3), but still constant so I think it's o(1)
getMaxSoFar(): o(n), since the for loop goes through the element till the length of the node element. From the top, 1 + n + 1 --> n + 2 - > o (n)
class ListNode<T>{
public T value;
public ListNode<T> next;
public ListNode(T value, ListNode<T> next)
{
this.value = value;
this.next = next;
}
public ListNode<T> setValue(T value)
{
return new ListNode<T>(value, this);
}
}
interface Maximizer<T> {
T getMax(T t1, T t2);
T getGlobalMin();
}
interface MaxStack<T>
{
boolean isEmpty();
void push(T value);
T pop();
T getMaxSoFar();
//returns the maximum value in the stack
}
class SlowMaxStack<T> implements MaxStack<T>
{
private final Maximizer<T> maximizer; //data
private ListNode<T> top; // node
public SlowMaxStack(Maximizer<T> maximizer)
{
this.maximizer = maximizer;
}
#Override
public boolean isEmpty()
{
return top == null;
}
#Override
public void push(T value)
{
if (top == null)
{
top = new ListNode<T>(value, null);
}
else
{
top = top.setValue(value);
}
}
#Override
public T pop()
{
T value = top.value;
top = top.next;
return value;
}
#Override
public T getMaxSoFar()
{
T currentMax = maximizer.getGlobalMin();
for(ListNode<T> node = top; node != null; node = node.next)
{
currentMax = maximizer.getMax(currentMax, node.value);
}
return currentMax;
}
}
Related
I'm trying to make a generic stack and queue class that uses the generic node class. It has empty(), pop(), peek(), push(), and a search() method. I know there is a built-in Stack class and stack search method but we have to make it by using the Node class.
I am unsure of how to make the search method. The search method is supposed to return the distance from the top of the stack of the occurrence that is nearest the top of the stack. The topmost item is considered to be at distance 1; the next item is at distance 2; etc.
My classes are below:
import java.io.*;
import java.util.*;
public class MyStack<E> implements StackInterface<E>
{
private Node<E> head;
private int nodeCount;
public static void main(String args[]) {
}
public E peek() {
return this.head.getData();
}
public E pop() {
E item;
item = head.getData();
head = head.getNext();
nodeCount--;
return item;
}
public boolean empty() {
if (head==null) {
return true;
} else {
return false;
}
}
public void push(E data) {
Node<E> head = new Node<E>(data);
nodeCount++;
}
public int search(Object o) {
// todo
}
}
public class Node<E>
{
E data;
Node<E> next;
// getters and setters
public Node(E data)
{
this.data = data;
this.next = null;
}
public E getData() {
return data;
}
public void setData(E data) {
this.data = data;
}
public Node<E> getNext() {
return next;
}
public void setNext(Node<E> next) {
this.next = next;
}
}
public class MyQueue<E> implements QueueInterface<E>
{
private Node<E> head;
private int nodeCount;
Node<E> rear;
public MyQueue()
{
this.head = this.rear = null;
}
public void add(E item){
Node<E> temp = new Node<E>(item);
if (this.rear == null) {
this.head = this.rear = temp;
return;
}
this.rear.next = temp;
this.rear = temp;
}
public E peek(){
return this.head.getData();
}
public E remove(){
E element = head.getData();
Node<E> temp = this.head;
this.head = this.head.getNext();
nodeCount--;
return element;
}
}
After working on it based off of the first comment I have this:
public int search(Object o){
int count=0;
Node<E> current = new Node<E> (head.getData());
while(current.getData() != o){
current.getNext();
count++;
}
return count;
}
It doesn't have any errors but I cannot tell if it is actually working correctly. Does this seem correct?
It needs the following improvements,
search method should have parameter of type 'E'. So, the signature should look like public int search(E element)
start the count with 1 instead of 0.As you have mentioned topmost item is considered to be at distance 1
initialize current with head, because creating a new node with data value of head(new node(head.getData())) will create an independent node with data same as head node; and the while will run only for the head node as current.getNext() will be null always. Node<E> current = head will create another reference variable pointing to the head.
Instead of != in condition, use if( !current.getData().equals(element.getData())) )
If using your own class as data type, don't forget to override equals method.
Change current.getNext(); to current = current.getNext();
You have problems with other method. Pay attention on top == null. To calculate search() all you need is just iterate over the elements and find position of required value:
public class MyStack<E> {
private Node<E> top;
private int size;
public void push(E val) {
Node<E> node = new Node<>(val);
node.next = top;
top = node;
size++;
}
public E element() {
return top == null ? null : top.val;
}
public E pop() {
if (top == null)
return null;
E val = top.val;
top = top.next;
size--;
return val;
}
public boolean empty() {
return size == 0;
}
public int search(E val) {
int res = 1;
Node<E> node = top;
while (node != null && node.val != val) {
node = node.next;
res++;
}
return node == null ? -1 : res;
}
private static final class Node<E> {
private final E val;
private Node<E> next;
public Node(E val) {
this.val = val;
}
}
}
I assume your MyStack class should be compatible with the Stack class provided by Java as you mention it in your question. This means that your signature public int search(Object o) matches the signature of java.util.Stack#search (apart from synchronised).
To implement the search method using your Node class, we need to traverse the stack and return the index of the first (uppermost) match. First, assign head to a local variable (current). Then you can create a loop where you current.getNext() at the end to get the next element. Stop if the next element is null as we have reached the end of the stack. In the loop, you either count up the index or return this index when the current element's data matches the argument o.
The evaluation needs to be able to deal with null values for your argument o. Therefore, you need to check for null first and adjust your logic accordingly. When o is null, do a null-check against current.getData(). If o is not null, check if current.getData() is equal to o with equals().
Here is a working example: (compatible with java.util.Stack#search)
public int search(Object o) {
int index = 1;
Node<E> current = head;
while (current != null) {
if (o == null) {
if (current.getData() == null) {
return index;
}
} else {
if (o.equals(current.getData())) {
return index;
}
}
current = current.getNext();
index++;
}
return -1; // nothing found
}
To test this, you can write a simple unit test with JUnit like this:
#Test
public void testMyStackSearch() {
// initialize
final MyStack<String> stack = new MyStack<>();
stack.push("e5");
stack.push("e4");
stack.push(null);
stack.push("e2");
stack.push("e1");
// test (explicitly creating a new String instance)
assertEquals(5, stack.search(new String("e5")));
assertEquals(3, stack.search(null));
assertEquals(2, stack.search(new String("e2")));
assertEquals(1, stack.search(new String("e1")));
assertEquals(-1, stack.search("X"));
}
Since you have already a reference implementation, you can replace MyStack with Stack (java.util.Stack) and see if your asserts are correct. If this runs successfully, change it back to MyStack and see if your implementation is correct.
Note: I do not recommend to actually use the Stack implementation in Java. Here, it just serves as a reference implementation for the java.util.Stack#search method. The Deque interface and its implementations offer a more complete and consistent set of LIFO stack operations, which should be used in preference to Stack.
Implementing LinkedList in a recursive approach was a bit challenging to me, which I get stuck in implementing of its remove method and wonder how to keep reference to previous item in recursive?
MyLinkedList class
package linkedlist;
public class MyLinkedList {
private Integer value;
private MyLinkedList next;
public MyLinkedList() {
}
public MyLinkedList(Integer value) {
this.value = value;
}
public void add(Integer value) {
if (this.value == null) {
this.value = value;
} else if (this.next == null) {
this.next = new MyLinkedList(value);
} else {
this.next.add(value);
}
}
public MyLinkedList remove(Integer index) {
//
// if (index < 0) {
// return this;
// }
// if (index == 0) {
// return this.next;
// }
// this.next = remove(index - 1);
return this;
}
public Integer indexOf(Integer value) {
if (this.value.equals(value)) {
return 0;
} else if (this.next == null) {
return null;
} else {
return 1 + this.next.indexOf(value);
}
}
}
MyLinkedListTester class
package linkedlist;
public class MyLinkedListTester {
public static void main(String[] args) {
MyLinkedList myLinkedList = new MyLinkedList();
myLinkedList.add(1);
myLinkedList.add(2);
myLinkedList.add(3);
myLinkedList.add(4);
System.out.println("Index Of Array: " + myLinkedList.indexOf(3));
MyLinkedList linkedList = myLinkedList.remove(3);
}
}
As mentioned in the comments the iterative approach is easier and more efficient most of the time. Anyway I think you do this as an exercise because in Java you already have a LinkedList.
So first you have a kind of error in your thinking (as far as I'm aware of it). It's also a kind of bad design choice. You create your MyLinkedList and save the data right into it and the next is also of the class MyLinkedList but it's not a list, it's a Node. There should only be one List, and 0 - many nodes.
For example I can't figure out how to do a remove function that will return the removed Node (in your case MyLinkedList) and as well let you keep the list in case you remove the first element in your list.
If you are looking in the implementation that's why they use Nodes and it's also more logical (a list doesn't contain "List elements") and so on...
Some other remark: your indexOf funtion will return an error if you try to get a element that does not exist (1 + null => error).
So anyway. What you have to do is to create a Node. (btw if you really want a real LinkedList you can use generic instead of int/Integer).
Below I post my solution how to do it (may be better out there but that is how I would do it). I also wrote a toString method to see how the List looks like (and it works as far as I can say). In case you want to still use your code without the Node it should give you an idea how to solve your problem with remove. You can also put some of the logic into the Node class but for me Node is only a container and doesn't really contain any logic.
public class MyLinkedList {
private Node head;
public MyLinkedList() {
}
public class Node{
private int value;
private Node next = null;
public Node(int value){
this.value = value;
}
public int getValue(){
return value;
}
public Node getNext(){
return next;
}
public void setNext(Node next){
this.next = next;
}
}
public void add(int value) {
Node next = new Node(value);
if(head == null){
head = next;
} else {
addRecursive(head,next);
}
}
private void addRecursive(Node node, Node next) {
if(node.next == null){
node.setNext(next);
} else {
addRecursive(node.getNext(),next);
}
}
public Node remove(int index){
Node removeNode = head;
if(index == 0){
head = head.getNext();
} else {
removeNode = removeRecursive(head,index-1);
}
return removeNode;
}
private Node removeRecursive(Node node, int index){
Node removeNode = node.getNext();
if(index == 0){
node.setNext(removeNode.getNext());
} else {
removeNode = removeRecursive(node.getNext(),index-1);
}
return removeNode;
}
public int indexOf(int value) {
if (head == null){
return -1;
} else if (head.getValue() == value){
return 0;
} else {
return indexOfRecursive(head,value,0);
}
}
private int indexOfRecursive(Node node, int value, int index) {
if(node.getNext() == null){
return -1;
} else if(node.getNext().getValue() == value){
return index + 1;
} else {
return indexOfRecursive(node.getNext(),value,index+1);
}
}
#Override
public String toString(){
if(head == null){
return "";
} else {
return toStringRecursive(head,"["+head.getValue());
}
}
private String toStringRecursive(Node node, String output){
if(node.getNext() == null){
return output + "]";
} else {
return toStringRecursive(node.getNext(),output + ", " + node.getNext().getValue());
}
}
}
I am implementing WAVL tree and WAVL node classes. In the WAVL node class I should create a method that counts how much internal nodes exist in the subtree of the node. I should do that in time complexity of O(1). Any suggestions?
The class I wrote is:
package coding_ex1;
public class WAVLNode
{
WAVLNode left;
WAVLNode right;
WAVLNode parent;
int rank;
int key;
String value;
public WAVLNode() //*constructor
{
this.left=null;
this.right=null;
this.parent=null;
this.rank=0;
this.key=0;
this.value=null;
}
public int getKey() //*gets WAVLNode. if external leaf, return -1. else, return key
{
if (this.rank==-1)
{
return -1;
}
return key;
}
public String getValue()//*gets WAVLNode. if external leaf, returns null. else, returns value
{
if (this.rank==-1)
{
return null;
}
return value;
}
public WAVLNode getLeft()//* get WAVLNode. returns left (if there is no left, the value of left is null)
{
return left;
}
public WAVLNode getReft()//* get WAVLNode. returns right (if there is no right, the value of right is null)
{
return right;
}
public boolean isInnerNode()//*gets WAVLNode. returns true for internal leaf. else, returns false
{
if(this.right!=null || this.left!=null)
{
return true;
}
return false;
}
}
You should add a filed and methods.
private int internalNodeCount = 0; // initially count as leaf
public int internalNodeCount() {
return internalNodeCount;
}
public void setLeft(WAVLNode node) {
this.left = node;
setInternalNodeCount();
}
public void setRight(WAVLNode node) {
this.right = node;
setInternalNodeCount();
}
void setInternalNodeCount() {
if (isInnerNode()) {
internalNodeCount = 1; // count for self
if (left != null)
internalNodeCount += left.internalNodeCount;
if (right != null)
internalNodeCount += right.internalNodeCount;
} else
internalNodeCount = 0;
}
I need to implement a Node class, where the basic methods are: getItem(), getNext(), setItem() and setNext(). I want the nodes to be able to store at least the default integer range in Java as the “item”; the “next” should be a reference or pointer to the next Node in a linked list, or the special Node NIL if this is the last node in the list.I also want to implement a two-argument constructor which initializes instances with the given item (first argument) and next node (second argument) , I've kind of hit a brick wall and need some guidance about implementing this , any ideas ?
I have this so far:
class Node {
public Node(Object o, Node n) {
}
public static final Node NIL = new Node(Node.NIL, Node.NIL);
public Object getItem() {
return null;
}
public Node getNext() {
return null;
}
public void setItem(Object o) {
}
public void setNext(Node n) {
}
}
While implementing the custom LinkedList/Tree, we need Node. Here is demo of creating Node and LinkedList. I have not put in all the logic. Just basic skeleton is here and you can then add more on yourself.
I can give you a quick hint on how to do that:
Class Node{
//these are private class attributes, you need getter and setter to alter them.
private int item;
private Node nextNode;
//this is a constructor with a parameter
public Node(int item)
{
this.item = item;
this.nextNode = null;
}
// a setter for your item
public void setItem(int newItem)
{
this.item = newItem;
}
// this is a getter for your item
public int getItem()
{
return this.item;
}
}
You can create a Node object by calling:
Node newNode = Node(2);
This is not a complete solution for your problem, the two parameter constructor and the last node link are missing, but this should lead you in the correct direction.
Below is a simple example of the Node implementation, (i renamed Item to Value for readability purpose). It has to be implemented somehow like this, because methods signatures seems to be imposed to you. But keep in mind that this is definely not the best way to implement a LinkedList.
public class Node {
public static final Node NIL = null;
private Integer value;
private Integer next;
public Node(Integer value, Node next) {
this.value = value;
this.next = next;
}
public Integer getValue() {
return this.value;
}
public Node getNext() {
return this.next;
}
public void setValue(Integer value) {
this.value = value;
}
public void setNext(Node next) {
this.next = next;
}
public boolean isLastNode() {
return this.next == Node.NIL || Node;
}
}
public class App {
public static void main(String[] args) {
Node lastNode = new Node(92, Node.NIL);
Node secondNode = new Node(64, lastNode);
Node firstNode = new Node(42, secondNode);
Node iterator = firstNode;
do () {
System.out.println("node value : " + iterator.getValue());
iterator = iterator.getNext();
} while (iterator == null || !iterator.isLastNode());
}
}
The node class that will be implemented changes according to the linked list you want to implement. If the linked list you are going to implement is circular, then you could just do the following:
public class Node {
int data;
Node next = null;
public Node(int data){
this.data = data;
}
}
Then how are you going to implement the next node?
You are going to do it in the add method of the circularLinkedList class. You can do it as follows:
import java.util.*;
public class CircularLinkedList {
public CircularLinkedList() {}
public Node head = null;
public Node tail = null;
public void add(int data) {
Node newNode = new Node(data);
if(head == null) {
head = newNode;
}
else {
tail.next = newNode;
}
tail = newNode;
tail.next = head;
}
public void displayList() {
System.out.println("Nodes of the circular linked list: ");
Node current = head;
if(head == null) {
System.out.println("Empty list...");
}
else {
do {
System.out.print(" " + current.data);
current = current.next;
}while(current != head);
System.out.println();
}
}
}
I'm trying to write code in a way that it is object oriented. In this particular case I want to keep track of the minimum value of my stack in O(1) time. I know how to do it, the idea of it, well my idea of it, which is to have another stack that keeps track of the minimum value for every push and pop.
I've nested every class inside of the program class which is called minStack, which doesn't seem like the right thing to do however when I create a instance of minStack and call its variables it works out fine for a regular stack. I created a class that extends a Stack called StackWithMin but I don't know how to call its values. Should I create a new instance of a StackWithMin? If so how would i do it? I did it at the end of the code above the main function, but peek() always returns null
class minStack {
public class Stack {
Node top;
Object min = null;
Object pop() {
if(top != null) {
Object item = top.getData();
top = top.getNext();
return item;
}
return null;
}
void push(Object item) {
if(min == null) {
min = item;
}
if((int)item < (int)min) {
min = item;
}
Node pushed = new Node(item, top);
top = pushed;
}
Object peek() {
if(top == null) {
//System.out.println("Its null or stack is empty");
return null;
}
return top.getData();
}
Object minimumValue() {
if(min == null) {
return null;
}
return (int)min;
}
}
public class Node {
Object data;
Node next;
public Node(Object data) {
this.data = data;
this.next = null;
}
public Node(Object data, Node next) {
this.data = data;
this.next = next;
}
public void setNext(Node n) {
next = n;
}
public Node getNext() {
return next;
}
public void setData(Object d) {
data = d;
}
public Object getData() {
return data;
}
}
public class StackWithMin extends Stack {
Stack s2;
public StackWithMin() {
s2 = new Stack();
}
public void push(Object value) {
if((int)value <= (int)min()) {
s2.push(value);
}
super.push(value);
}
public Object pop() {
Object value = super.pop();
if((int)value == (int)min()) {
s2.pop();
}
return value;
}
public Object min() {
if(s2.top == null) {
return null;
}
else {
return s2.peek();
}
}
}
Stack testStack = new Stack();
StackWithMin stackMin = new StackWithMin();
public static void main(String[] args) {
minStack mStack = new minStack();
//StackWithMin stackMin = new StackWithMin();
mStack.testStack.push(3);
mStack.testStack.push(5);
mStack.testStack.push(2);
mStack.stackMin.push(2);
mStack.stackMin.push(4);
mStack.stackMin.push(1);
System.out.println(mStack.testStack.peek());
System.out.println(mStack.stackMin.peek());
mStack.testStack.pop();
}
}
I would suggest to create generic interface Stack like this one
interface Stack<T> {
void push(T item);
T pop();
T peek();
}
Generics add stability to your code by making more of your bugs
detectable at compile time.
See more about generics here.
Then implement this interface in a common way. All implementation details will be hidden inside of this class (your Node class for example). Here is the code (it is just to show the idea, if you want to use it you need to improve it with exception handling for example). Note that class Node is now also generic.
class SimpleStack<T> implements Stack<T> {
private class Node<T> { ... }
private Node<T> root = null;
public void push(T item) {
if (root == null) {
root = new Node<T>(item);
} else {
Node<T> node = new Node<T>(item, root);
root = node;
}
}
public T pop() {
if (root != null) {
T data = root.getData();
root = root.getNext();
return data;
} else {
return null;
}
}
public T peek() {
if (root != null) {
return root.getData();
} else {
return null;
}
}
}
Now we get to the part with stored minimum value. We can extend our SimpleStack class and add field with another SimpleStack. However I think this is better to make another implementation of the Stack and store two stacks for values and for minimums. The example is below. I have generalize the class that now uses Comparator to compare object, so you can use any other object types.
class StackWithComparator<T> implements Stack<T> {
private Comparator<T> comparator;
private SimpleStack<T> mins = new SimpleStack<>();
private SimpleStack<T> data = new SimpleStack<>();
public StackWithComparator(Comparator<T> comparator) {
this.comparator = comparator;
}
public void push(T item) {
data.push(item);
if (mins.peek() == null || comparator.compare(mins.peek(), item) >= 0) {
mins.push(item);
} else {
mins.push(mins.peek());
}
}
public T pop() {
mins.pop();
return data.pop();
}
public T peek() {
return data.peek();
}
public T min() {
return mins.peek();
}
}
Now you can use both implementations like so
SimpleStack<Integer> s1 = new SimpleStack<>();
s1.push(1);
s1.push(2);
s1.push(3);
System.out.println(s1.pop()); // print 3
System.out.println(s1.pop()); // print 2
System.out.println(s1.pop()); // print 1
StackWithComparator<Integer> s2 = new StackWithComparator<>(new Comparator<Integer>() {
public int compare(Integer o1, Integer o2) {
return Integer.compare(o1, o2);
}
});
s2.push(1);
s2.push(2);
s2.push(3);
s2.push(0);
s2.push(4);
System.out.println(s2.min() + " " + s2.pop()); // print 0 4
System.out.println(s2.min() + " " + s2.pop()); // print 0 0
System.out.println(s2.min() + " " + s2.pop()); // print 1 3
System.out.println(s2.min() + " " + s2.pop()); // print 1 2
System.out.println(s2.min() + " " + s2.pop()); // print 1 1