Push 13 to the following min-heap and write the resulting heap array in the answer space. Write the array like a normal C++ array (e.g.: {67, 54, 123, ...)). 54 51 62 27 59 28 50 3 44 22 24
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- Introduction For this assignment, you are to write a program which implements a Sorted List data structure using a circular array-based implementation and a driver program that will test this implementation. The Sorted List ADT is a linear collection of data in which all elements are stored in sorted order. Your implementation has to store a single int value as each element of the list and support the following operations: 1. add(x) – adds the integer x to the list. The resulting list should remain sorted in increasing order. The time complexity of this operation should be 0(N), where N is the size of the list. 2. removefirst() - deletes the first integer from the list and returns its value. The remaining list should remain sorted. Time complexity of this operation should be 0(1). 3. removelast() – deletes the last integer from the list and returns its value. The remaining list should remain sorted. Time complexity of this operation should be 0(1). 4. exists(x) – returns true if the…1.) B = {35, 29, 7, 13,9,15,20} heap size = 7 Do heapify (B,2). Write the values in the array B starting from index 0 to 6?1. Given the unsorted array write the pseudo code so sort it and find a specific element x a. Find (array, x) //first sort the array //search for element x using binary search 2. Given the following stack A = { 29,18,10,15,20,9,5,13,2,4,15} Create a queue by taking the elements from the top of the stack and adding them to a queue 3. what are the worst-case, average-case, and best-case complexities of insertion-sort, merge-sort, and quiksort 4. Given the following array A = {3,13,89,34,21,44,99,56,9} Illustrate the execution of the sorting algorithms on the given array: * Merge-sort algorithm * Quicksort (using the median-of-three pivot) algorithms * Selection Sort algorithm For each fundamental iteration or recursion of the algorithm, write the content of the array. 5. Evaluate the following postfix expression made using a stack: 234*5*-
- True or False For each statement below, indicate whether you think it is True or False. If you like, you can provide a description of your answer for partial credit in case you are incorrect. Given a stack implemented as an array, and the following functions performed: Push(A), Push (B), Push(C), Pop(), Push(D), Push(E), Pop(), Push(F) The array will be [A][B][D][F] and the “top” of the stack will be at index 3 where [F] is The next element that will be removed when Pop is called will be A If we Push(G), [G] will be inserted at index 0 Given a queue implemented as an array with a maximum capacity of 5 elements and O(1) insert and remove, and the following functions are performed: Insert(7), Insert(6), Insert(5), Insert(4), Remove(), Remove(), Insert(3), Insert(2), Insert(1), Remove() The removeIndex value will be index 4 The array will be [2][1][ ][4][3] The insertIndex value will be index 2 Given a priority queue implemented as a standard linked list with only a…Create a data type that allows you to insert, delete the maximum, and delete the minimum (all in logarithmic time), as well as find the maximum and find the minimum (both in constant time). Tip: Use two heaps.For the following heap that is stored as an array, for the options, select the choice that correctly answers the questions. 1 234 5 6 16 14 10 8 a) 4 b) 2 c) 5 and 10 a) What is the index for element 8? b) What is the index of the parent for 8? c) What is the index of the left and right children of 8? a) 4 b) 2 c) 8 and 9 789 10 2 4 1 7 9 3 a) 4 b) 1 c) 4 and 1 a) 4 b) 7 c) 1 for the left. There is no right child
- Show a complete run of Quicksort on the following array X :X: 1 2 3 4 5 6 7 8 9 1017 5 -3 40 46 50 16 0 22 4 show all recursive calls using the stack below. Show the results of each call to below Split on a newline in the table to the left.Write a function to check if a given array is a min heap or not. The prototype of the function is as follows: int isMinHeap(int A[], int size)Task:implement a function that reverses a list of elements by pushing them onto a stack in one order and writing them back to the list in reversed order P.S:Answer must be in python
- C++ PROGRAMMING: HEAPS Using the array-based implementation, complete the heap ADT in the arrayheap.h. void insert(int num) This will insert the num to the heap. This number shall be initially added in the last position and will constantly be compared to its parent and get swapped if the parent is greater. int removeMin() This will remove the root by it being replaced by the last position. Remember to store it to some temporary variable first and return it later. The replaced number will also have to be constantly compared to its children and swapped by the smaller element if it is smaller than the number. int size() This will simply return the number of elements currently in the heap. Given that this is an array, it must also be dynamic. If the array is full when attempting to add an element, increase the capacity of the memory by 50% (rounded up). For instance, the array of capacity 4 is already of size 4, we add 4 * 50% = 2 when we try to add an element. And so, the array…A drop-out stack is a data structure that acts just like a stack except that if the stack size is n, and the n + 1 element is pushed, the first element is lost. Using an array, create a drop-out stack. (Hint: A circular array implementation would be appropriate.)arrange the following data elements into a heap note - there will be more than one correct solution here; you simply have to show a correct arrangement. You have to draw the heap; you can not show it as an array or vector. Data Elements: 22 5 16 4 8 51 47 21 13 61 57 29 7