Divide a Size N array into two parts: a left portion which holds all of the array elements less than or equal to the pivot value and a right part that contains more than the pivot value all of the array components. How would you characterize the worst-case complexity (in O notation) and under what conditions does it occur? O notation and the circumstance alone
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Divide a Size N array into two parts: a left portion which holds all of the array elements less than or equal to the pivot value and a right part that contains more than the pivot value all of the array components.
How would you characterize the worst-case complexity (in O notation) and under what conditions does it occur?
O notation and the circumstance alone
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- Partitioning an array of size N into two parts: a left part containing all the array elements less or equal than a pivot value and a right part containing all the array elements bigger than the pivot value. what is the Worst-Case Complexity (in O notation) and When does the worst case happen (under what conditions)? only O notation and the condition2a. Provide a divide-and-conquer algorithm that will determine the maximum sum possible for a subarray of a given array. The array only contains the values 1, -1 and -2. [Adapted from IOA, Ch. 4] Example input: 1 -2 1 1 1 1 -1 1 1Take an array of length n where all the numbers are nonnegative and unique. Find the element inthe array possessing the highest value. Split the element into two parts where the first part containsthe next highest value in the array and the second part holds the required additive entity to get thehighest value. Return the array index value. Consider the negative numbers as well.Input: [4, 8, 6, 3, 2]Output: [4, 6, 2, 6, 3, 2]
- Determine an input array with 7 elements for which Quicksort requires the minimum number of total comparisons. Clearly demonstrate why your input array achieves the minimum number of comparisons, and explain why there cannot exist a 7-element array requiring fewer comparisons than your array.For the program below, calculate its worst-case complexity as a function of the size n of the input array A. Explain your answer by giving a detailed calculation.def initialCommon (A,B): # initial common component of A, B for i in range (len(A) ,-1,-1): same = True for j in range (i): if A[j] != B[j]: same = False if same : return [A[j] for j in range (i)]Please Help me with This Problem Language = C++ Take an array of name A of size 4 X 4. Take input and then take B with size 4 X 4. Add them.And show result after taking transpose.Formally, the i th row, j th column element of C T is the j th row, i th columnelement of C:1. write the rows of C as the columns of C T2. write the columns of C as the rows of C TC is an m × n matrix then C T is an n × m matrix.Then save the result in a file named “result.txt”, according the matrix spaces and newline. Note:Understand the Question Properly and Kindly Answer
- Suppose an array sorted in ascending order is rotated at some pivot unknownto you beforehand. (i.e., 0 1 2 4 5 6 7 might become 4 5 6 7 0 1 2).Find the minimum element. The complexity must be O(logN)You may assume no duplicate exists in the array."""def find_min_rotate(array): """ Finds the minimum element in a sorted array that has been rotated. """ low = 0 high = len(array) - 1 while low < high: mid = (low + high) // 2 if array[mid] > array[high]: low = mid + 1 else: high = mid return array[low] def find_min_rotate_recur(array, low, high): """ Finds the minimum element in a sorted array that has been rotated. """ mid = (low + high) // 2 if mid == low:.()8. integer array nums and an integer k, return the length of the shortest non-empty subarray of nums with a sum of at least k. If there is no such subarray, return -1. A subarray is a contiguous part of an array. Example 1: Input: nums = [1], k = 1 Output: 1 Example 2: Input: nums = [1,2], k = 4 Output: -1 Example 3: Input: nums = [2,-1,2], k = 3 Output: 3.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.
- Compare the sorting durations of the insertion sort and QuickSort using a tiny array (less than 20). What is the time difference? Could you clarify why? Compare the sorting durations of the insertion sort and QuickSort using a tiny array (less than 20). What is the time difference? Could you clarify why?Compare the sorting durations of the insertion sort and QuickSort using a tiny array (less than 20). What is the time difference? Could you clarify why?I'm having issue understanding how to go on with this question. Q1. If the array size n is fixed, what does a worst-case input array (resulting in the maximum totalnumber of key comparisons) look like?Q2. If the array size n is fixed, what does a best-case input array (resulting in the minimum total numberof key comparisons) look like?In particular, set n = 15. Run your program by creating a worst-case input array and a best-case inputarray. For each case, include the following in the “README” file.•Take a screenshot of your program’s output; Draw the BST after all 15 keys are inserted.Write your answers to Q1 and Q2 for general n as part of the summary of your testing results in the this is my code for it class BST{ class Node { int key; Node left, right; public Node(int item) { key = item; left = right = null; } } // Root of BST Node root; int count=0; // Constructor BST() { root = null;…Please help Given an integer array nums, find a contiguous non-empty subarray within the array that has the largest product, and return the product. The test cases are generated so that the answer will fit in a 32-bit integer. A subarray is a contiguous subsequence of the array. Example : Input: nums = [-2,0,-1] Output: 0 Explanation: The result cannot be 2, because [-2,-1] is not a subarray. Constraints: 1 <= nums.length <= 2 * 104 -10 <= nums[i] <= 10 The product of any prefix or suffix of nums is guaranteed to fit in a 32-bit integer.