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(Implement postorder traversal without using recursion) Implement the postorder method in BST using a stack instead of recursion. Write a test
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- def removeMultiples(x, arr) - directly remove the multiples of prime numbers (instead of just marking them) by creating a helper function. This recursive function takes in a number, n, and a list and returns a list that doesn’t contain the multiples of n.def createList(n) - a recursive function, createList(), that takes in the user input n and returns an array of integers from 2 through n (i.e. [2, 3, 4, …, n]). def Sieve_of_Eratosthenes(list) - a recursive function that takes in a list and returns a list of prime numbers from the input list.Template below: def createList(n): #Base Case/s #ToDo: Add conditions here for base case/s #if <condition> : #return <value> #Recursive Case/s #ToDo: Add conditions here for your recursive case/s #else: #return <operation and recursive call> #remove the line after this once all ToDo is completed return [] def removeMultiples(x, arr): #Base Case/s #TODO: Add conditions here for your…arrow_forward1. (Store numbers in a linked list) Write a program that lets the user enter numbers and displays numbers as described below. Use a linked list to store the numbers. Do not store duplicate numbers. Add the methods Sort, Shuffle, and Reverse to sort, shuffle, and reverse the list in the application class (driver class).arrow_forwardTopic: Singly Linked ListImplement the following functions in C++ program. Read the question carefully. (See attached photo for reference) int count(int num) This will return the count of the instances of the element num in the list. In the linked list in removeAll method, having the method count(10) will return 3 as there are three 10's in the linked list. Additionally, you are to implement these methods: bool move(int pos1, int pos2) This method will move the element at position pos1 to the position specified as pos2 and will return true if the move is successful. This will return false if either the specified positions is invalid. In the example stated, operating the method move(1, 3) will move the 1st element and shall now become the 3rd element. The linked list shall now look like: 30 -> 40 -> 10 -> 50 int removeTail() This method will remove the last element in your linked list and return the said element. If the list is empty, return 0. You can use the…arrow_forward
- (Merge two sorted) Write the following function that merges two sorted lists into a new sorted list:void merge(const int list1[], int size1, const int list2[], int size2,int list3[])Implement the function in a way that takes size1 + size2 comparisons. Write a test program thatprompts the user to enter two sorted lists and display the merged list.Here is a sample run.Note that the first number in the input indicates the number of the elements in the list. This number isnot part of the list. Assume the maximum list size is 80.Enter list1: 5 1 5 16 61 111Enter list2: 4 2 4 5 6The merged list is 1 2 4 5 5 6 16 61 111arrow_forwardTake an Infix expression from the user and convert to a Postfix expression using Stacks. The use of pointers is not allowed.arrow_forward7. (* =: 'a In this problem, you will determine what the following method does. public static void rra(int[] list, int start, int end) { if (start >= end) { return; } int tmp = list[start]; list [start] = list[end] = tmp; list[end]; // recursion! rra(list, start+1, end-1); } Suppose list = [0, 2, 4, 6, 8, 10, 12, 14, 16]. (a) ) W= ta . What happens to list when rra(list, 0, 4) is called? Show memory diagrams and/or stack frames to explain what the recursive calls are. (b) (в) с oj What happens to list when rra(list, 0, list.length - 1) is called? st Show memory diagrams and/or stack frames to explain what the recursive calls are.arrow_forward
- getSumEven Method; (Java) *Do not change method parameters* public static int getSumEven(int[] array) Returns the sum of even values (if any) present in the array parameter. You can assume array is not null. You may only use one auxiliary function. Your implementation must be recursive and you may not use any loop construct. Do not use ++ or -- in any recursive call argument. It may lead to an infinite recursion. For example, use index + 1, instead of index++. Parameters: array - Returns: Sum of even valuesarrow_forward* allSame returns true if all of the elements in list have the same value. * allSame returns false if any two elements in list have different values. * The array may be empty and it may contain duplicate values. * * Your solution should contain at most one loop. You may not use recursion. * Your solution must not call any other functions. * Here are some examples (using "==" informally): * * * * * * * * true == allSame (new double[] { }) true == allSame(new double[] {11}) true == allSame (new double[] { 11, 11, 11, 11 }) false == allSame(new double[] { 11, 11, 11, 22 }) false == allSame (new double[] { 11, 11, 22, 11 }) true == allSame (new double[] { 22, 22, 22, 22 }) * */ public static boolean allSame (double[] list) { return StdRandom.bernoulli(); //TODO: fix thisarrow_forwardTopic: Singly Linked ListImplement the following functions in C++ program. Read the question carefully. Below is the "CODE THAT NEEDS TO BE IMPROVED" or "NOT FINAL CODE" (See attached photo for reference) bool addAt(int num, int pos) This method will add the integer num to the posth position of the list and returns true if the value of pos is valid. Performing addAt(20, 2) in the example list will add 20 at the 2nd position and the linked list will now look like this: 10 -> 20 -> 30 -> 40 -> 50. When the value of pos is invalid i.e. greater than the size + 1 or less than one, return false. bool addAt(int num, int pos) { if (pos == 1) { // case 1: addHead addHead(num); return true; } if (pos == index + 1) { // case 3: addTail addTail(num); return true; } node* currnode = head; //addAt(20, 3) int count = 0; while (currnode…arrow_forward
- Topic: Singly Linked ListImplement the following functions in C++ program. Read the question carefully. (See attached photo for reference) void isEmpty() This method will return true if the linked list is empty, otherwise return false. void clear() This method will empty your linked list. Effectively, this should and already has been called in your destructor (i.e., the ~LinkedList() method) so that it will deallocate the nodes created first before deallocating the linked list itself.arrow_forwardquestion 1 Write a program to evaluate a postfix expression. Input: a postfix expression. E.g. 3 5 + Output: the result of the expression. E.g. the result for the above input is 8. Note: You must use the stack to implement this task. And please give the stack solutions for both the following implementations: Implement the array-based stack Implement the pointer-based stack Test your program using the following expressions: 3 5 + 3 5 + 6 * 3 5 6 + * 3 5 6 * 8 - 2 / + 12 20 + 16 / do not copy from chegg and do in c++arrow_forward1. (Store numbers in a linked list) Write a program that lets the user enter numbers and displays numbers as described below. Use a linked list to store the numbers. Do not store duplicate numbers. Add the methods Sort, Shuffle, and Reverse to sort, shuffle, and reverse the list in the application class (driver class). Please submit the source code and bytecode.arrow_forward
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