A stack can be implemented with an array A[0..N-1] and a variable pos. The push and pop operations are defined by the following code. push (x) A[pos] + x pos + pos - 1 end push pop ( ) pos + pos + 1 return A[pos) end pop Which of the following will initialize an empty stack with capacity N for this implementation?
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- 1. Write a program which should implement a stack using static array of size 10 (10 elementsarray), elements of array should be of integer (int) type. User will input values to be pushed onstack and also number of elements to be popped from stack. Your program should display thevalue of elements which are being popped from stack. Program should also calculate anddisplay the average of elements which have been popped from stack.Consider the Stack ADT: Stack: push(x) adds x to top of stack pop() removes top element of stack and returns it size() returns number of elements in stack Select all options that allow for an efficient implementation based on the discussions from class. For any array implementation, you can assume the array is large enough so that making a larger one is not needed when pushing an item to the stack. Using an array with the top at the front of the array. Using an array with the top at the back of the array. Using a singly linked list with the top at the head of the list. Using a singly linked list with the top at the tail of the list. ENGStack: push(x) adds x to top of stack pop() removes top element of stack and returns it size() returns number of elements in stack Select all options that allow for an efficient implementation based on the discussions from class. For any array implementation, you can assume the array is large enough so that making a larger one is not needed when pushing an item to the stack. Using an array with the top at the front of the array. Using an array with the top at the back of the array. Using a singly linked list with the top at the head of the list. Using a singly linked list with the top at the tail of the list. None of these choices allows for an efficient implementation of all methods.
- A 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. -In this problem you will design a data structure that implements Stack ADT using singly-linked list instead of an array. In addition your stack will have the following additional operation: public catenate (Stack s); // appends the contents of Stack s to the current stack The new operation will have the following properties: Let n = s₁.size(), m= s2.size(). Then executing s₁.catenate(s2) results in the following: 1. The new size of s₁ is the sum of the size of s2 and the original size of s₁, i.e., the following evaluates to true: s₁.size() == n + m 2. Top n elements of s₁ after the call s₁.catenate(s2) are the same as the elements of s₁ before the call. The bottom m elements of s₁ after the call s₁.catenate(s2) are the same as the elements of S2 before the call. (a) The implementation described in the book, lecture notes and screencasts uses an array to implement Stack ADT. Can you implement catenate (Stack s) operation that runs in O(1) time for such imple- mentation? If yes, write…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 one variable if needed to carry out the operations. i) 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.ii) Given an array A[1: n] of distinct random numbers how can you obtain thesorted list in the array, making use of stacks alone?
- You may operate on a stack WORK and a temporary stack TEMP (if necessary) to enable its ADT operations of PUSH (S,X), POP (S, X), and EMPTYSTACK (S), where X represents an element/variable to be pushed into or popped out of the stack and S represents a stack. You may also utilise one variable to carry out the procedures if necessary. I Given n different random integers to be pushed into WORK, how can you determine the maximum element pushed into it while ensuring that the items placed in WORK are in decreasing order, with the maximum element beginning at the bottom of the stack? You may utilise a single variable and the temporary stack TEMP. ii) Given an array A[1: n] of different random numbers, how can you extract the array's sorted list using only stacks?Add remain code and explanation of whole code. Given a stack, a function is_consecutive takes a stack as a parameter and thatreturns whether or not the stack contains a sequence of consecutive integersstarting from the bottom of the stack (returning true if it does, returningfalse if it does not). For example:bottom [3, 4, 5, 6, 7] topThen the call of is_consecutive(s) should return true.bottom [3, 4, 6, 7] topThen the call of is_consecutive(s) should return false.bottom [3, 2, 1] topThe function should return false due to reverse order. Note: There are 2 solutions:first_is_consecutive: it uses a single stack as auxiliary storagesecond_is_consecutive: it uses a single queue as auxiliary storage"""import collections def first_is_consecutive(stack): storage_stack = [] for i in range(len(stack)): first_value = stack.pop() if len(stack) == 0: # Case odd number of values in stack return True second_value = stack.pop() if first_value -…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""".
- 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]Assume the function: void F(stack<T> &S){ } and we send a stack S to the function F, as a result of it إختر أحد الخيارات: a. Both (copy constructor and destructor) should be called b. Both (copy constructor and destructor) should not be called c. Destructor should be called d. Copy constructor should be calledJava : Write the Java code segment that uses a stack to determine if a string is a palindrome (assume all that blanks have been removed). A palindrome contains the same characters forwards as backwards, for example level is a palindrome. Your solution must use only a stack, you MUST process the string from left to right, and are allowed to go through the string only once. You must use an efficient algorithm. Use : ArrayStack class given below: /** * Creates an empty stack using the default capacity. */ public ArrayStack() { this(DEFAULT_CAPACITY); } /** * Creates an empty stack using the specified capacity. * @param initialCapacity the initial size of the array */ public ArrayStack(int initialCapacity) { top = 0; stack = (T[])(new Object[initialCapacity]); }