{ao, a1, a2, the following looped algorithm: Let A = ,ak} be an indexed array. If A[i] denotes the ith entry, consider ReWrite(A): i = 1 %3D While i < k: A[i]: = 2 i = i +1 Return A a) What will be the output for the command ReWrite([1,2,3,4,5])? (look carefully) b) Is this algorithm 'one to one' from the indices of the array to the natural numbers? Explain. c) Is this algorithm surjective from the indices of the array 'onto' the natural numbers? Explain. d) Is this algorithm bijective from its set of inputs to its set of outputs? Explain.
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- Following is the partition function for quicksort, where we have used the leftmost number as a pivot. Assume that our array, ARR = {14, 8, 7, 38, 22, 15, 9}, which is 7 in size. What will be the array ARR after we apply "partition(A, 0, 6)"* 9, 15, 22, 38, 7, 8, 14 7, 8, 9, 14, 15, 22, 38 9, 8, 14, 7, 22, 15, 38 9, 8, 7, 14, 22, 15, 38 7, 9, 15, 22, 38, 14, 6 38, 22, 15, 14, 9, 8, 7Following is the function for interpolation search. This searching algorithm estimates the position (index) of a key in array based on the elements in the first position and last position in the array, and the length of array. The array must be sorted in ascending order. Suppose array A contains the following 15 elements: A = [1, 3, 3, 10, 17, 22, 22, 22, 24, 25, 26, 27, 27, 28, 28] At first iteration, at which position (index) the element of 24 is estimated in array A? In which part of array (starting index and ending index) the searching should continue? How many iterations the searching are performed until the element of 24 is found? int InterpolationSearch(int x[], int key, int n) { int mid, min = 0, max = n-1; while(x[min] < key && x[max] > key) { mid = min + ((key-x[min])*(max-min)) / (x[max]-x[min]); if(x[mid] < key) min = mid + 1; else if(x[mid] > key) max = mid - 1; else return mid; } if…The code below computes the intersection (the number of entries shared by two arrays). It is assumed that neither array contains any duplicates. It computes the intersection by sorting one array (array b) and then iterating over array a to see if each value is in b (through binary search). What is its duration? nt intersection(int[] a, int[] b) {mergesort(b);}int intersect = 0;for (int x : a) {if (binarySearch(b, x) >= 0) {intersect++;return intersect; }}
- ALGO1(A)// A is an integer array, an index that starts at 11): for i=1 to n-1 do2): minIndex = findSmallest(A,i)3): exchange A[i] with A[minIndex] The sub-routine find the smallest(A, i) in Line 2, and returns the index of the smallest element in thesub-array A[i:n]Suppose the array below is provided as input to ALGO1 2 5 6 7 3 8 1 4 Fill in the Blanks At the end of the first iteration of the for loop (i.e. with i=1)1) a) the element at index 1 is : b) the element at index 4 is : c) the element at index 7 is :Consider the following array of int values. [17, 11, 6, 22, -3, 8, 4, 22, 2, 35, -4, 10] Write the contents of the array after 4 passes of the outermost loop of selection sort. Assume selection sort is sorting slots from low-to-high Write the contents of the array during each of the the recursive calls of merge sort.6. Read in two integers n and m (n, m < 50). Read n integers in an array A. Read m integers in anarray B. Then do the following (write separate programs for each, only the reading part iscommon).a) Find if there are any two elements x, y in A and an element z in B, such that x + y = z.b) Copy in another array C all elements that are in both A and B (intersection).c) Copy in another array C all elements that are in either A and B (union).d) Copy in another array C all elements that are in A but not in B (difference).Do In c Program
- Question 17 Aa .You are given a sorted list of n numbers stored in an array A, where n can be arbitrarily large. Now randomly generate a number k and search the number in the list (i.e., in A). Now randomly select two subarrays of A, each of size n^1/2 . Then repeat the same procedure on each of the subarrays. The procedure stops after the subarray sizes become 1. Analyze the time complexity of finding the total number of successful searches in the entire procedure using big O-notation Full explain this question and text typing work only We should answer our question within 2 hours takes more time then we will reduce Rating Dont ignore this lineEasy C++ program please answer fast Maximum Subarray Sum Rabbit Jerry downloads the list of N (2 ≤ N ≤ 105 ) stock prices of RABJ and stores them into a circular buffer/array in a clockwise manner (i.e., the first stock price follows the N-th stock price on the circular buffer) starting from index position 0. It is worth pointing out that the stock prices can be negative numbers in the rabbit stock market. He is curious about the maximum subarray sum over this circular buffer. Certainly, the maximum subarray can possibly straddle over both index positions 0 and N-1. Output the maximum subarray sum. The maximum subarray must contain at least one element. INPUT FORMAT (input arrives from the terminal / stdin): First line contains N. The next line contains N space-separated integers denoting the input sequence. The price ranges from -1,000,000 to 1,000,000. OUTPUT FORMAT (print output to the terminal / stdout): A single line containing the maximum subarray sum. Note that the output can…Q1)Suppose you are given an array A of n elements. Your task is to sort n numbers stored in array A by reading the first element of A and placing it on its original position (position after sorting). Then read the second element of A, and place it on its original position. Continue in this manner for the first n-1 elements of A. What type of sorting is this? Write the algorithm and also mention the name of this sorting algorithm. What loop invariant does this algorithm maintain? Give the best-case and worst-case running times of this sorting algorithm. Q2)Consider an array consisting of the following sequence: 1, 4, 9, 16, 25, 49, …, n Suppose a number in the sequence is missing. Write the mathematical process to find the missing number, i.e. some equation. What is the time complexity of finding the missing number in the sequence? Q3)Sort the text “SARHAD UNIVERSITY” in ascending order using the insertion sort algorithm. Discuss also the best, worst and average case complexity of the…
- True or False For each statement below, indicate whether you think it is True or False. If you use binary search on a sorted array, the performance at worst is O(log n) For the insert algorithm, if you use binary search to find the location to insert the new element, it will improve the overall performance of the algorithm to O(log n) For the update algorithm in a sorted array, all you have to do is use linear or binary search to find the element you want to change, and if you find it, you only need to change it to the new value Binary search can be used on an unsorted array Inserting elements into a sorted array is O(n) because you have to find the location to add the new element and then shift the remaining elements If the sorted array gets too large, the performance of binary search becomes O(n) For the delete algorithm, after you find the element to delete, you can make the algorithm run faster by replacing it with the last element in the array If you used binary search to…Below is the exercise for unsorted arrays. True or False: For each statement below, indicate whether you think it is True or False 3) For the insert function, if the array is empty, there are no comparison operations that need to be performed and you can immediately add the new element 5) Because the update algorithm depends on using linear search, its performance is O(1) in the worst case scenario 6) If you search for and delete an element in an unsorted array and then shift the rest of the elements to fill the hole, the worst case performance is O(n) 7) If you search for and delete an element in an unsorted array and then move the last element to fill the hole, the worst case performance is O(n)True or False For each statement below, indicate whether you think it is True or False Because the update algorithm depends on using linear search, its performance is O(1) in the worst case scenario If you search for and delete an element in an unsorted array and then shift the rest of the elements to fill the hole, the worst case performance is O(n) If you search for and delete an element in an unsorted array and then move the last element to fill the hole, the worst case performance is O(n)