If the sequence of operations - push (4), push (3), push (2), pop, push (1), pop, pop, pop, push (4), push(3), push(1), push(2), pop, pop, pop, pop are performed on a stack, the sequence of popped out values are: (5
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- 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, 9A SpecialStackTM is a stack modified to support the following two operations: PUSHCLEAR(v) successively pops consecutive items from the top of the stack that are less than u, then pushes v onto the stack. POP() deletes the item at the top of the stack. Assume these operations are implemented using a singly-linked list. PUSHCLEAR(v) iter- ates through the linked list to pop the applicable items and then adds v to the beginning. POP() deletes the first item. (a) Describe the ordering of values on the stack. (b) Explain how a single call to PUSHCLEAR(V) could take (n) time. (c) If we assume that every operation takes linear time, we get a naive bound of O(n²) on the total runtime. But this doesn't consider the fact that these expensive operations happen infrequently so let's analyze it more closely. Show that any sequence of n operations takes O(n) time. -Pseudocodes can be written using the operations PUSH(S,X), POP(S,X), PRINT(X), EMPTY STACK(S), and TOP OF STACK(S), which returns the top element of stack S. i) assign X to the bottom element of stack S, leaving the stack empty;ii) assign X to the bottom element of the stack, leaving the stack unchanged;iii) assign X to the nth element in the stack (from the top), leaving the stack unchanged.
- Consider the following statements: stackType<int> stack; int x; Suppose that the input is: 14 53 34 32 13 5 -999 Show what is output by the following segment of code: cin >> x; while (x != -999) { if (x % 2 == 0) { if (!stack.isFullStack()) stack.push(x); } else cout << "x = " << x << endl; cin >> x; } cout << "Stack Elements: "; while (!stack.isEmptyStack()) { cout << " " << stack.top(); stack.pop(); } cout << endl;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.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.
- Design a stack MAXSTACK, which functions like an ordinary linked stacksupporting the ADT operations of PUSH, POP and EMPTYSTACK, besidesGETMAX. GETMAX is an operation that records the maximum element in thestack. Can you design the stack in such a way that GETMAX merely consumes O(1) time complexityA certain stack contains (bottom to top, from left to right): s = [1, 4, 1, 3, 5, 3, 1, 4, 5, 1, 2] Assume that printing pop operations print number popped (e.g. print(q.pop()) prints 2 in the terminal), how can we output the numbers 1, 4, 5, and 1 in that exact order exactly in 9 operations: There are only 2 options: s.pop() print(s.pop()) (Don’t make an entire code of it answer it like it was shown in the picture)Imagine a (literal) stack of plates. If the stack gets too high, it might topple.Therefore, in real life, we would likely start a new stack when the previous stack exceeds somethreshold. Implement a data structure SetOfStacks that mimics this. SetOfStacks should becomposed of several stacks and should create a new stack once the previous one exceeds capacity.SetOfStacks. push() and SetOfStacks. pop() should behave identically to a single stack(that is, pop () should return the same values as it would if there were just a single stack).FOLLOW UPImplement a function popAt(int index) which performs a pop operation on a specific substack.
- There is one stacks and one queue q and then following operations are performed upon these two. Push A, enqueue B, push C, pop, pop, enqueue D, push E, dequeue, enqueue F .What is the total number of elements, which are left in the queue and stack in the end.Given a stack, switch_pairs function takes a stack as a parameter and thatswitches successive pairs of numbers starting at the bottom of the stack.For example, if the stack initially stores these values:bottom [3, 8, 17, 9, 1, 10] topYour function should switch the first pair (3, 8),the second pair (17, 9), ...:bottom [8, 3, 9, 17, 10, 1] topif there are an odd number of values in the stack, the value at the top of thestack is not moved: For example:bottom [3, 8, 17, 9, 1] topIt would again switch pairs of values, but the value at thetop of the stack (1)would not be movedbottom [8, 3, 9, 17, 1] topNote: There are 2 solutions:first_switch_pairs: it uses a single stack as auxiliary storagesecond_switch_pairs: it uses a single queue as auxiliary storage""".Write a C++ program that allows a user to enter a maximum of 50 characters in a stack object. Then have the program sort the stack contents in increasing order. For example,if the stack’s contents are initially D, E, A, and B, its final contents are A, B, D, and E.