You are given an array A[1, ..., n]. Describe an algorithm (proper/efficient pseudocode required) that checks whether the given array is a Heap, and outputs 'yes/no'.
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- 01... ""Implementation of the Misra-Gries algorithm.Given a list of items and a value k, it returns the every item in the listthat appears at least n/k times, where n is the length of the array By default, k is set to 2, solving the majority problem. For the majority problem, this algorithm only guarantees that if there isan element that appears more than n/2 times, it will be outputed. If thereis no such element, any arbitrary element is returned by the algorithm.Therefore, we need to iterate through again at the end. But since we have filtredout the suspects, the memory complexity is significantly lower thanit would be to create counter for every element in the list. For example:Input misras_gries([1,4,4,4,5,4,4])Output {'4':5}Input misras_gries([0,0,0,1,1,1,1])Output {'1':4}Input misras_gries([0,0,0,0,1,1,1,2,2],3)Output {'0':4,'1':3}Input misras_gries([0,0,0,1,1,1]Output None"""..10. What is the worst case time complexity of performing the heap sort on an array with n elements? A. O(n²) B. O(n) C. O(nlogn) D. O(logn) E. None of the aboveWrite an algorithm to calculate the average of a list of numbers. The algorithm should be understandable by a person who does not know a computer programming language (not written in code). Do not use pre-defined functions. The algorithm should be able to be converted into a computer program on a line by line basis (or at least close to it). Example of an algorithm for a binary search: Find the midpoint of the sorted array / list by dividing its length by 2. Compare the midpoint to the value of interest. If the midpoint is larger than the value, perform binary search on right half of the array. If the midpoint is smaller than the value, perform binary search on left half of the array. Repeat these steps until the midpoint value is equal to the value of interest or we know the value is not in the array. Python
- Given an array that represents Breadth First Search or BFS traversal of a Complete Binary Search Tree, implement a recursive void method to print the preOrder traversal of the same Complete Binary Search Tree. You do not need to construct the BST. A Complete Binary Search Tree is a BST in which every level, except possibly the last, is completely filled, and all nodes are as far left as possible. Following is an example of a Complete Binary Search Tree: A. BFS traversal array (level by level from left to right): bfs[] = {50, 35, 55, 30, 45} B. PreOrder traversal (middle, left, right) : 50 35 30 45 55 Your recursive method "void convertBFStoPreOrder" will get an array A as an input and will print B. Hints: In the given BFS traversal array, bfs[], if i is the index of a parent, 2i+1 will give you the index of the left child, and 2i+2 will give you the index of the right child. "Assume that input array is always correct and represent a correct BFS traversal of a Complete BST."…java ARRAY[] = [50, 11, 33, 21, 40, 50, 40, 40, 21] ARRAY[] = [11, 21, 33, 40, 50] ATTN : Further, please be reminded that you cannot use library functions to either sort and or perform the de-duplication operation. solve the problem (1) Implement the function in such a way that your solution solves the problem with time complexity overall O(n) space complexity. Here, n is the length of the list of input integers (array). I believe the sorting routine that can be used here is Merge Sort. Please state as code comment which sorting routine you are using, sort the arrray with that algorithm and solve the de-duplication problem thereafter. De-duplication part of the solution in itself must adhere to O(n) time and O(1) space bounds. we will not use any memory used by recursion. Important: Take the size of the input array from the User.Prompt user to input the integers in the array.PLEASE MAKE SURE TO EXPLAIN THE SORTINGALGORITHM AND DE-DUPLICATION ALGORITHM INCOMMENTS WHILE YOU…Given an array arr[] and an integer K where K is smaller than size of array, the task is to find the Kth smallest element in the given array. It is given that all array elements are distinct. Note :- l and r denotes the starting and ending index of the array. Example 1: Input: N = 6 arr[] = 7 10 4 3 20 15 K = 3 Output : 7.
- java ARRAY[] = [50, 11, 33, 21, 40, 50, 40, 40, 21] ARRAY[] = [11, 21, 33, 40, 50] ATTN : Further, please be reminded that you cannot use library functions to either sort and or perform the de-duplication operation. solve the problem in two ways (1) Implement the function in such a way that your solution solves the problem with O(n log2(n)) time complexity overall and O(n) space complexity. Here, n is the length of the list of input integers (array). I believe the sorting routine that can be used here is Merge Sort. Please state as code comment which sorting routine you are using, sort the arrray with that algorithm and solve the de-duplication problem thereafter. De-duplication part of the solution in itself must adhere to O(n) time and O(1) space bounds. we will not use any memory used by recursion. Important: Take the size of the input array from the User.Prompt user to input the integers in the array.PLEASE MAKE SURE TO EXPLAIN THE SORTING ALGORITHM AND DE-DUPLICATION…Analyze the otherSort sorting function. What is its time- complexity in terms of the size of the input array it sorts if the array is in random, unsorted order? T *otherSort(T *arr, int N) { for (int idxUnsorted = 1; idxUnsorted 0) && (arr[idxCursor T cur = 1] > cur)) { arr[idxCursor 1]; arr[idxCursor] idxCursor--; arr[idxCursor] = cur; return arr; O (log n) 0 0 (n²) O (n!) O (n)In an array-based implementation of a List, why does the add operation take O(n) time in the average case? Select one: a. The time it takes to shift entries over to make room in the array depends on the number of entries in the List b. The time to copy the current entries into a newly allocated, larger array depends on the number of entries in the List c. The time to access the position in the array to add the new entry depends on the number of entries in the List d. The time to access the position in the array to add the new entry depends on the capacity of the array
- 15. Consider the problem of finding the first position in which an array b occurs as a subsequence of an array a. Write two nested loops: let result undefined for (let i = 0; i < a.length - b.length; i++) { for (let j = 0; j < b.length; j++) { if (a[i+j] = b[j]) . . . } } Complete with labeled break and continue statements.We have an array of randomly distributed data nodes. Explain the heap sort algorithm for sorting the data in the descending order, i.e. largest to the smallest value. Please write your algorithm in a list form to make it more readable.Given an array arr] and an integer K where K is smaller than size of array, the task is to find the Kth smallest element in the given array. It is given that all array elements are distinct. Note :- I and r denotes the starting and ending index of the array. Example 1: Input: N = 6 arr[] = 7 10 4 3 20 15 K = 3 Output: 7