Singly Linked List Algorithm

Singly Linked Lists by themselves do not let random access to the data or any form of efficient indexing, many basic operations — such as obtaining the last node of the list, finding a node that contains a given datum, or locating the place where a new node should be inserted — may necessitate iterate through most or all of the list components. 

They can be used to implement several other common abstract data types, including lists, stacks, queues, associative arrays, and S-expressions, though it is not uncommon to implement those data structures directly without use a associated list as the basis. The problem of machine translation for natural language processing led Victor Yngve at Massachusetts Institute of technology (MIT) to use associated lists as data structures in his COMIT programming language for computer research in the field of linguistics. 

Several operating systems developed by Technical system adviser (originally of West Lafayette Indiana, and later of Chapel Hill, North Carolina) used singly associated lists as file structures. The now-classic diagram consisting of blocks representing list nodes with arrows indicating to successive list nodes looks in" program the logic theory machine" by Newell and Shaw in Proc.
package DataStructures.Lists;

/**
 * This class implements a SinglyLinked List. This is done
 * using SinglyLinkedList class and a LinkForLinkedList Class.
 * <p>
 * A linked list is similar to an array, it hold values.
 * However, links in a linked list do not have indexes. With
 * a linked list you do not need to predetermine it's size as
 * it grows and shrinks as it is edited. This is an example of
 * a singly linked list. Elements can only be added/removed
 * at the head/front of the list.
 */
public class SinglyLinkedList {
    /**
     * Head refer to the front of the list
     */
    private Node head;

    /**
     * size of SinglyLinkedList
     */
    private int size;

    /**
     * init SinglyLinkedList
     */
    public SinglyLinkedList() {
        head = new Node(0);
        size = 0;
    }

    /**
     * Init SinglyLinkedList with specified head node and size
     *
     * @param head the head node of list
     * @param size the size of list
     */
    public SinglyLinkedList(Node head, int size) {
        this.head = head;
        this.size = size;
    }

    /**
     * This method inserts an element at the head
     *
     * @param x Element to be added
     */
    public void insertHead(int x) {
        insertNth(x, 0);
    }

    /**
     * insert an element at the tail of list
     *
     * @param data Element to be added
     */
    public void insert(int data) {
        insertNth(data, size);
    }

    /**
     * Inserts a new node at a specified position
     *
     * @param data     data to be stored in a new node
     * @param position position at which a new node is to be inserted
     */
    public void insertNth(int data, int position) {
        checkBounds(position, 0, size);
        Node cur = head;
        for (int i = 0; i < position; ++i) {
            cur = cur.next;
        }
        Node node = new Node(data);
        node.next = cur.next;
        cur.next = node;
        size++;
    }

    /**
     * Insert element to list, always sorted
     *
     * @param data to be inserted
     */
    public void insertSorted(int data) {
        Node cur = head;
        while (cur.next != null && data > cur.next.value) {
            cur = cur.next;
        }

        Node newNode = new Node(data);
        newNode.next = cur.next;
        cur.next = newNode;
        size++;
    }

    /**
     * This method deletes an element at the head
     *
     * @return The element deleted
     */
    public void deleteHead() {
        deleteNth(0);
    }

    /**
     * This method deletes an element at the tail
     */
    public void delete() {
        deleteNth(size - 1);
    }

    /**
     * This method deletes an element at Nth position
     */
    public void deleteNth(int position) {
        checkBounds(position, 0, size - 1);
        Node cur = head;
        for (int i = 0; i < position; ++i) {
            cur = cur.next;
        }

        //Node destroy = cur.next;
        cur.next = cur.next.next;
        //destroy = null; // clear to let GC do its work

        size--;
    }

    /**
     * @param position to check position
     * @param low      low index
     * @param high     high index
     * @throws IndexOutOfBoundsException if {@code position} not in range {@code low} to {@code high}
     */
    public void checkBounds(int position, int low, int high) {
        if (position > high || position < low) {
            throw new IndexOutOfBoundsException(position + "");
        }
    }

    /**
     * clear all nodes in list
     */
    public void clear() {
        if (size == 0) {
            return;
        }
        Node prev = head.next;
        Node cur = prev.next;
        while (cur != null) {
            prev = null; // clear to let GC do its work
            prev = cur;
            cur = cur.next;
        }
        prev = null;
        head.next = null;
        size = 0;
    }

    /**
     * Checks if the list is empty
     *
     * @return true is list is empty
     */
    public boolean isEmpty() {
        return size == 0;
    }

    /**
     * Returns the size of the linked list
     */
    public int size() {
        return size;
    }

    @Override
    public String toString() {
        if (size == 0) {
            return "";
        }
        StringBuilder builder = new StringBuilder();
        Node cur = head.next;
        while (cur != null) {
            builder.append(cur.value).append("->");
            cur = cur.next;
        }
        return builder.replace(builder.length() - 2, builder.length(), "").toString();
    }

    /**
     * Merge two sorted SingleLinkedList
     *
     * @param listA the first sorted list
     * @param listB the second sored list
     * @return merged sorted list
     */
    public static SinglyLinkedList merge(SinglyLinkedList listA, SinglyLinkedList listB) {
        Node headA = listA.head.next;
        Node headB = listB.head.next;

        int size = listA.size() + listB.size();

        Node head = new Node();
        Node tail = head;
        while (headA != null && headB != null) {
            if (headA.value <= headB.value) {
                tail.next = headA;
                headA = headA.next;
            } else {
                tail.next = headB;
                headB = headB.next;
            }
            tail = tail.next;
        }
        if (headA == null) {
            tail.next = headB;
        }
        if (headB == null) {
            tail.next = headA;
        }
        return new SinglyLinkedList(head, size);
    }

    /**
     * Main method
     *
     * @param args Command line arguments
     */
    public static void main(String args[]) {
        SinglyLinkedList myList = new SinglyLinkedList();
        assert myList.isEmpty();
        assert myList.toString().equals("");

        myList.insertHead(5);
        myList.insertHead(7);
        myList.insertHead(10);
        assert myList.toString().equals("10->7->5");

        myList.deleteHead();
        assert myList.toString().equals("7->5");

        myList.insertNth(11, 2);
        assert myList.toString().equals("7->5->11");

        myList.deleteNth(1);
        assert myList.toString().equals("7->11");

        myList.clear();
        assert myList.isEmpty();

        /* Test MergeTwoSortedLinkedList */
        SinglyLinkedList listA = new SinglyLinkedList();
        SinglyLinkedList listB = new SinglyLinkedList();

        for (int i = 10; i >= 2; i -= 2) {
            listA.insertSorted(i);
            listB.insertSorted(i - 1);
        }
        assert listA.toString().equals("2->4->6->8->10");
        assert listB.toString().equals("1->3->5->7->9");
        assert SinglyLinkedList.merge(listA, listB).toString().equals("1->2->3->4->5->6->7->8->9->10");

    }
}

/**
 * This class is the nodes of the SinglyLinked List.
 * They consist of a value and a pointer to the node
 * after them.
 */
class Node {
    /**
     * The value of the node
     */
    int value;

    /**
     * Point to the next node
     */
    Node next;

    Node() {

    }

    /**
     * Constructor
     *
     * @param value Value to be put in the node
     */
    Node(int value) {
        this(value, null);
    }

    Node(int value, Node next) {
        this.value = value;
        this.next = next;
    }
}

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