A linked stack is a: Doubly linked list in which the last node of the linked list is the top of the stack. B Doubly linked list in which the first node of the linked list is the top of the stack. Single linked list in which the last node of the linked list is the top of the stack. D Single linked list in which the first node of the linked list is the top of the stack.
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- Short answer: Answer the following in your own words: 1) Your friend says they implemented a stack as a linked list with reference pointers to both a head and the tail node (i.e. they implemented a stack as a double endedlinked list). They said this significantly improved the performance for all functions (push, pop, search, and update). Are they correct? Why or why not?A linked stack is a: Single linked list in which the first node of the linked list is the top of the stack. Doubly linked list in which the first node of the linked list is the top of the stack. Single linked list in which the last node of the linked list is the top of the stack. Doubly linked list in which the last node of the linked list is the top of the stack.1. Draw a picture of how a Stack and Queue is implemented with a single linked list.2. Explain and create algorithms for adding and removing on Stack and Queue
- TRUE or FALSE? Answer the following question and state the reason why: A circular linked list has 2 node pointers. cout<<list.back()<<endl; = The back member function returns a reference to the last element in the list. In a Dynamic Stack, the pointer top stays at the head after a push operation. During a Pop operation in Static Stack, the elements are being moved one step up. In a dynamic implementation of stack, the pointer top has an initial value of null.QUESTIONS TWO (2) A. Give THREE (3) type of linked list structure and describes B. Explain TWO (2) differences between array list and linked listShort answer Answer the following in your own words: Your friend says they implemented a stack as a linked list with reference pointers to both a head and the tail node (i.e. they implemented a stack as a double ended linked list). They said this significantly improved the performance for all functions (push, pop, search, and update). Are they correct? Why or why not? Another friend implemented a queue as a linked list with only a head pointer (no tail node). She said this made performance of all functions (insert, remove, search, and update) categorically equal to a queue as a linked list with a head and a tail node. Is she correct? Why or why not?
- (2) Answer the following questions concerning lists, stacks, and queues Please be thorough with explanatio! (d) Suppose you are implementing a list of stacks. Let's say you decide to implement both the general list (the list of stacks) and each individual stack using a double linked list. Assume that there are currently N stacks in the list, and each stack has a maximum of K items, where N and K are both large. You are going to iterate through the general list and apply a single operation to each stack as you encounter it. Now answer the following four questions, using big-Theta notation: What is the average-case time complexity of pushing one additional item into each stack? What is the worst-case time complexity of pushing one additional item into each stack? What is the average-case time complexity of popping one item from each stack? What is the worst-case time complexity of popping one additional item from each stack? (For pops, if the stack is empty, you can assume that the pop…Given the following sequence of characters: DA&T!A ST*R&U!CT!&UR*ES. Consider the stack data structure, supporting two operations push and pop. Suppose that for the above sequence, each letter (such as DATA STRUCTURES) corresponds to a push of that letter onto the stack, each exclamation mark(!) corresponds one pop operation on the stack, each ampersand (&) corresponds one peep operation on the stack and each asterisk (*) corresponds two pop operations on the stack. Show the sequence of values returned by the pop operations. Also, display the remaining elements in the stack after all the push and pop operations.Please be thorough with explanation (a) Consider implementing a stack as a class that relies on a singly linked list, maintaining pointers to both the start and end of the singly linked list in the main object. You consider two possibilities. The first is to push (insert) to the beginning and pop (remove) from the beginning of the linked list. The second is to push to the end and pop from the end of the linked list. Is one of these possibilities better than the other? Briefly explain your answer.
- 2. An ordered stack is a data structure that stores a sequence of items and supports the following operations. • OrderedPush(x): removes all items smaller than x from the beginning of the sequence and then adds x to the beginning of the sequence. • Pop: deletes and returns the first item in the sequence (or Null if the sequence is empty). Suppose we implement an ordered stack with a simple linked list, using the obvious OrderedPush and Pop algorithms. Prove that if we start with an empty data structure, the amortized cost of each OrderedPush or Pop operation is O(1).(a) Explain the advantages of adding a tail pointer to a linked list.(b) Explain the advantages of doubly-linked over singly-linked lists.If a Stack is most optimally derived from a Singly Linked List, which node of the Linked List should be pointed to or will be referred to as the Top of the stack and why?