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- 1. consider an array based queue implementation. suppose we wish to use an extra bit in the queue records to indicate whether a queue is empty. a. Modify the declarationsand operations for a circular queue to accomodate this feature. b. Would you see the change to be worthwide.Problem 1: Consider an array-based queue implementation. Suppose we wish to use an extra bitin queue records to indicate whether a queue is empty.1. Modify the declarations and operations for a circular queue to accommodate this feature.2. Would you expect the change to be worthwhile?Problem 2: Consider an array-based queue implementation. A variant of the circular queuerecords the position of the front element and the length of the queue.1. Is it necessary in this implementation to limit the length of a queue to maxlength - 1?2. Write the five queue operations for this implementation.3. Compare this implementation with the circular queue implementation discussed in class.Problem 3: A dequeue (double-ended queue) is a list from which elements can be inserted ordeleted at either end.1. Develop an array-based implementation for dequeue.2. Develop a pointer-based implementation for dequeue.7 T OR F In terms of operation efficiency, the constructor for a link-based queue performs in O(N), whereas the constructor for an array-based queue performs in O(1).
- StackQueuePostfix A. Pointer_based queuea. Define the class PoiQueue with no implementation; i.e. declare the datamembers, and the function members only (Enqueue, Dequeue, IsEmpty,GetHead etc.).b. Implement the Enqueue method of the above classB. Array_based non-circular queue:a. Define the class Queue using one dimensional array representation with noimplementation; i.e. declare the data members, and the function membersonly (Enqueue, Dequeue, IsEmpty, GetHead etc.).b. Implement the Denqueue method of the above classPush, pop, and enqueue operations are supported by a data type known as a stack-ended queue (steque). Give this ADT an API description. Create an implementation based on linked lists.Problem 1 Consider an array-based queue implementation. Suppose we wish to use an extra bitin queue records to indicate whether a queue is empty.1. Modify the declarations and operations for a circular queue to accommodate this feature.2. Would you expect the change to be worthwhile? Problem 2 Given the following specification of a front operation for queue:ItemType FrontFunction: Returns a copy of the front item on the queue.Precondition: Queue is not empty.Postcondition: Queue is not changed.1. Write this operation as client code, using operations from the QueType class. (Remember,the client code has no access to the private variables of the class).2. Write this function as a new member function of the QueType class. Problem 3 Implement the following specification for a Boolean function in the client programthat returns true if two queues are identical and false otherwise.Boolean Identical(QueType queue1, QueType queue2)Function: Determines if two queues are identical.Precondition:…
- 10.12 It is possible for one linear structure to be more general than another.(a) Can a Queue be implemented using a Stack? What is the level of complexity of each Queue operation? (b) Can a Stack be implemented using a Queue? What are the various Stack techniques' complexities? 10.13 Explain how we could efficiently build a Queue as a pair of Stacks, known as a "stack pair." (Hint: Consider one of the stacks to be the head of the queue and the other to be the tail.)(JAVA)Almost a priority queue. Design a data structure that supports the followingoperations for almost a priority queue:(i) FindSecondSmallest() which returns the second smallest item in the data structure.(ii) Insert(x) which inserts item x to the data structure.(iii) DeleteSecondSmallest() which removes the second smallest item from the datastructure.Your data structure should implement the operation FindSecondSmallest() in O(1), andthe other two operations in O(log n), where n is the number of elements in the datastructure.Problem 4: Binomial heaps. Let H1 and H2 be two binomial heaps. We would like tomerge H1 and H2 to obtain the binomial heap H and also to find the minimum key in H.A standard approach would be to perform the following sequence of operationsH = Merge(H1, H2);m = Min(H).Alternatively, we may perform the following sequence of operationsm1 = Min(H1);m2 = Min(H2);m = min{m1, m2};H = Merge(H1, H2).2. Given the following stack A = { 29,18,10,15,20,9,5,13,2,4,15} Create a queue by taking the elements from the top of the stack and adding them to a queue
- A deque (pronounced "deck") is an abstract data type that combines what a stack can do and what a queue can do. Thus, users are allowed to add items to either end of a deque and inspect/remove them from either end. Thus, a deque can act as stack or queue. Given the following ADT specification, implement the behavior of deque based on a circular array as the one discussed for an array-based implementation of the queue. Template<class T> Class Deque { Public: int size(); Boolean isEmpty(); // similar to push Void insertFirst(T e); // similar to enqueue Void insertLast(T e); // similar to dequeue T removeFirst(); // similar to pop T removeLast(); // returns the first element of deque without removing it T first(); // returns the last of deque without removing it T last(); }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).Implement in Python a double-ended queue (deque): A double-ended queue is a data structure (ordered collection of items) similar to a traditional queue. It has two ends, front and end, but it is not restricted to adding or removing items. New items can be added on the front or on the end. Existing items can be removed from either end. The image graphically shows how the structure is. - Implement the requested structure using a single linked list, which implements the following functions: enterFront, enterEnd, removeFront, removeEnd- The data to be entered are animal-type objects; name, type of animal, age- Create a Main function with the available operations