Stack A has the entries a, b, c (with a on top). Stack B is empty. An entry popped out of stack A can be printed immediately or pushed to stack B. An entry popped out of the stack B can only be printed. In this arrangement, which of the following permutations of a, b, c are not possible?
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- Show that a permutation may only be created by a stack (as in the previous question) if it does not contain the banned triple (a, b, c) such that a b c with c first, a second, and b third (potentially with other intervening integers between c and a and between a and b).Whereas the unbounded stack has no such limits, could you perhaps elaborate on how this works?Find out how effectively the stack operates when it is given the opportunity to work in line with its inherent inclinations.
- Consider the following operations performed on a stack of size 5. Push(1);Pop();Push(2);Push(3);Pop();Push(4);Pop();Push(5); After the completion of all operations, the number of elements in the stack is:You are allowed to operate on a stack WORK and a temporary stack TEMP (ifneeded) supporting their ADT operations of PUSH (S,X), POP (S, X) andEMPTYSTACK (S) only, where X represents an element/variable to be pushed in orpopped out of the stack and S represents a stack. You are also permitted to use onevariable if needed to carry out the operations.i) Given n distinct random numbers that are to be pushed into WORK, how canyou find the minimum element that was pushed into it? You are permitted to use alone variable.ii) Given n distinct random numbers that are to be pushed into WORK, how canyou find the maximum element that was pushed into it, all the while ensuring thatthe elements stored in WORK are in their descending order with the maximumelement beginning at the bottom of stack? You are permitted to use a lone variableand a temporary stack TEMP.iii) Given an array A[1: n] of distinct random numbers how can you obtain thesorted list in the array, making use of stacks alone?Write a Java public static general function which doesn't belong to the Stack class, isGreaterThan that determines if one stack is greater than another stack. If the summation of every other item(starting at the top) from one stack is greater than the summation of every other item(starting at the top) from another, return true, otherwise, return false. After you call this method, both stacks should stay the same as they are called before. Receives: a Stack type argument S1 and another Stack type argument S2 Postcondition: If the summation of every other item (starting at the top) from S1 is greater than the summation of every other item (starting at the top) from S2, return true, otherwise, return false. Both S1 and S2 should stay the same as they are called before. public static boolean isGreaterThan(Stack S1, Stack S2)
- Implement an postfix-to-infix translator using stacks. The applicationshould repeatedly read a postfix expression and print the equivalentinfix expression until the user quits. Throw an exception if the postfixexpression entered is invalid.Implement a function void copyStack(StackSLL<T>& s1, StackSLL<T>& s2) thatcopies elements from stack s1 to stack s2 without using any additional stacksor arrays.Example input: S1: [3,4,5,6]. Output: S2: [3,4,5,6]You have an unlimited supply of red, blue, and green plates in your kitchen, and are going to create a stack of exactly n of these plates. However, your roommate has a rule that any blue plate in a stack must have a green plate directly on top of it in the stack. Write a recurrence counting the number of different possible color orderings for the stack of n plates which are allowed by your roommate. Don’t forget to state the base case(s). You do not need to solve your recurrence.
- Write a program for Stack (Array-based or linked list-based) in Python. Test the scenario below with the implementation and with the reasoning of the answer. Make comments with a short description of what is implemented. Include source codes and screen-captured outputs. Stack: Given an empty stack in which the values A, B, C, D, E, F are pushed on the stack in that order but can be popped at any time, give a sequence of push and pop operations which results in pop()ed order of BADECFYou may only operate on the stacks WORK and TEMP, supporting their ADT operations of PUSH (S, X), POP (S, X), and EMPTYSTACK (S), where X is an element or variable to be pushed into or popped out of the stack and S denotes the stack itself. If necessary to complete the procedures, you may also utilise one variable. i) How can you determine the least element that was pushed into WORK given n different random integers that are going be placed into it? You are allowed to employ a single variable. ii) How can you determine the maximum element that was put into Work, given n different random integers, while making sure that the items placed in Work are arranged in ascending order, with the maximum element starting at the bottom of the stack? You are allowed to utilise the temporary stack TEMP as well as a single variable. iii) How can you create the sorted list in the array using just stacks given an array A[1: n] of unique random numbers?Given the desired order in which the manatees are to arrive down south, how do I dermine if there is any way Hugh can use the drainpipe to achive the desired order? This problem can be solved by using a stack. A stack is an ordered collected of elements that operations to push(), peek(), pop(). In Java the interface Deque has those operations. The ArrayDeque class implements the Deque Interface. Input All input is to be read from the standard input stream. The input consists of several blocks of lines and is terminated by a line with just 0. The first line of each block indicates the number of manatees 0 < N < 100,000. In each of the next lines of the block there is a permutation of the numbers 1, 2, ..., N. For N=3, the permutation 2 3 1 means that the first manatee needs to be placed at the end of line and that the second manatee needs to be placed at the front of the line. The last line of each block contains just 0 signaling the end of the block. Output For each permutation…