1. Describe how to implement a queue using two stacks and O(1) additional memory, so that the amortized time for any enqueue or dequeue operation is O(1). The only access you have to the stacks is through the standard subroutines Push and Pop.
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1. Describe how to implement a queue using two stacks and O(1) additional memory, so that the amortized time for any enqueue or dequeue operation is O(1). The only access you have to the stacks is through the standard subroutines Push and Pop.
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- 10.12 There is a possibility that one linear structure is more universal than another.(a) Can a Stack be used to implement a Queue? What is the degree of difficulty of each Queue operation? (b) Can a Queue be used to implement a Stack? What are the complexity of the various Stack techniques? 10.13 Describe how we may efficiently construct a Queue as a pair of Stacks, referred to as a "stack pair." (Hint: Think of one stack as the head of the queue and the other as the tail.) 10.12 There is a possibility that one linear structure is more universal than another.(a) Can a Stack be used to implement a Queue? What is the degree of difficulty of each Queue operation? (b) Can a Queue be used to implement a Stack? What are the complexity of the various Stack techniques? 10.13 Describe how we may efficiently construct a Queue as a pair of Stacks, referred to as a "stack pair." (Hint: Think of one stack as the head of the queue and the other as the tail.) 10.12 There is a possibility that…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.)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?
- Explain thoroughly the answers to the following questions: What are the most common operations of a stack? Explain each operation. What are the advantages and disadvantages of a stack? What are the different types of queues? Compare each variant to a simple queue?The queues that function as a stack together work on X) and POP(S, Y), where S is purportedly a stack, X is the element to be added to S, and Y is the element discarded from S. Assume that only queues are accessible to ADT's ENQUEUE, DEQUEUE, and EMPTYQUEUE operations.Show how your function operates on a list of items (a, b, and c) that will be used as a stack by the queues Q1 and Q2.What would be the contents of the initially empty queue Q1 and stack S1 (show the results from left to right where the left side represents the bottom in case of the stack and the rear in case of the queue) after the following code is executed : S1=Stack.Stack() Q1=Queue.Queue() aList=[59, 8, 30, 4, 9, 15, 16, 2, 31, 14, 18] for i in aList: if i==16 or i==9: S1.pop() Q1.dequeue() Q1.enqueue(i) elif i>14: S1.push(i) else: Q1.enqueue(i)
- What consequences are there for the failed construction of a stack resource?(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…One linear structure could be more applicable than another. (A) Can a Stack be used to implement a Queue? How complicated are the Queue operations individually? (b) Can a Stack be implemented using a Queue? What level of complexity do the different Stack techniques have?
- 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:…TRUE or FALSE? Answer the following question and state the reason why: In a dynamic stack, the node that was popped is deleted. In a dynamic stack, the pointer top stays at the head after push operation. STL function top returns a reference to element at the top of the stack. STL empty function will yield a value of true if the stack has elements.stack permutation of the numbers 0, 1, ..., n-1 is a permutation obtained as the sequence of numbers output by a stack after the original numbers have been processed left-to-right through a stack (via legal push and pop operations). For example, 0, 3, 2, 1 is a stack permutation of 0, 1, 2, 3 obtained by the sequence of operations: push, pop, push, push, push, pop, pop, pop. However, the permutation 1, 3, 0, 2 is not a stack permutation of 0, 1, 2, 3 Which of the following sequences are not stack permutations of 0,1,2,3,4,5,6,7,8,9? There could be more than one answer: select all those that you think are correct. There is a penalty for incorrect choices. Group of answer choices 4, 6, 8, 7, 5, 3, 2, 9, 0, 1 4, 3, 2, 1, 0, 9, 8, 7, 6, 5 2, 5, 6, 7, 4, 8, 9, 3, 1, 0 0, 4, 6, 5, 3, 8, 1, 7, 2, 9