8. Find the complexity of the function used to find the kth smallest integer in an unordered array of integers: int selectkth (int a[], int k, int n) { int i, j, mini, tmp; for (i = 0; i < k; i++) { mini = i; i+1; j < n; j++) if (a[j]
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Find the complexity of the function used to find the k th the smallest integer in an unordered array of integer
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- Find the complexity of the function used to find the kth smallest integer in an unordered array of integers: int selectkth(int a[], int k, int n) {int i, j, mini, tmp; for (i = 0; i < k; i++) { mini = i; for (j = i+1; j < n; j++) if (a[j]<a[mini]) mini = j; tmp = a[i]; a[i] = a[mini]; a[mini] = tmp; }return a[k-1];}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:.9.). 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.
- 1.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.Language: C Implement the binary search algorithm, to find an integer in a sorted array. a) Declare an array of N integers. Use the preprocessor #define directive for the size of the array. Let the first element be 0. Fill the array, by assigning to each element the value of the previous element plus a pseudorandom, nonnegative number. b) Given a sorted array of N integers, write a function to recursively search for a given element x in and return the index of x in the array, or -1 if the element is not found. To this end, divide the interval into two halves. If the value of the element is less than the item in the middle of the interval, search further in the lower half of the interval, otherwise, search it in the upper half. c) Test your results, searching for randomly picked element from the array.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.
- Write a program using c# to do the following: Initialize an array A with 10 elements. Initialize an array B with 7 elements. Divide each element of array A with each element of array B that is a[0]/b[0] , a[1]/b[1] etc. Implement the same to handle divide by zero error and index out of bound error.1. Consider the algorithm for the sorting problem that sorts an array by counting,for each of its elements, the number of smaller elements and then uses thisinformation to put the element in its appropriate position in the sorted array:ALGORITHMComparisonCountingSort(A[0..n − 1])//Sorts an array by comparison counting//Input: Array A[0..n//Output: Array S[0..n− 1] of orderable values− 1] of A’s elements sorted// in nondecreasing orderfor i ← 0 to nCount− 1 do[i]←0for i ← 0 to n − 2 dofor j ← i +1 to n − 1 doif A[i] < A[j ]Count[j ]← Count[j ] + 1else Count[i]← Count[i] + 1for i ←0 to n−1 doS[Count[i]]←A[i]return Sa. Apply this algorithm to sorting the list 60, 35, 81, 98, 14, 47.b. Is this algorithm stable?c. Is it in-place?Write a Python function def isSubArray(A,B) which takes two arrays and returns True if the first array is a (contiguous) subarray of the second array, otherwise it returns False. You may solve this problem using recursion or iteration or a mixture of recursion and iteration. For an array to be a subarray of another, it must occur entirely within the other one without other elements in between. For example: [31,7,25] is a subarray of [10,20,26,31,7,25,40,9] [26,31,25,40] is not a subarray of [10,20,26,31,7,25,40,9] A good way of solving this problem is to make use of an auxiliary function that takes two arrays and returns True if the contents of the first array occur at the front of the second array, otherwise it returns False. Then, A is a subarray of B if it occurs at the front of B, or at the front of B[1:], or at the front of B[2:], etc. Note you should not use A == B for arrays.
- 1. Consider a problem of computing the prefix average of a sequence of numbers stored in an array P consisting of P integers. We want to compute an array P such that P is the average of P for P . Consider the two algorithms related to the above problem. Answer the questions given belowQ1. Write the code necessary to find the largest element in an unsorted array of integers. What is the time complexity of this algorithm? Q2. Determine the growth function and order of the following code fragment: for (int count=0; count < n; count++) { for (int count2=0; count2 < n; count2=count2+2) { System.out.println(count, count2); } } Q3. Determine the growth function and order of the following code fragment: for (int count=0; count < n; count++) { for (int count2=0; count2 < n; count2=count2*2) { System.out.println(count, count2); } } Q4. What is the order of the following growth functions? 10n2 + 100n + 1000 10n3 – 7 2n + 100n3 n2 log n Q5. Arrange the growth functions of Q4 in ascending order of efficiency for n=10 and again for n = 1,000,000.Java Insertion Sort but make it read the data 12, 11, 13, 5, 6 from a file not an array // Java program for implementation of Insertion Sort public class InsertionSort { /*Function to sort array using insertion sort*/ void sort(int arr[]) { int n = arr.length; for (int i = 1; i < n; ++i) { int key = arr[i]; int j = i - 1; /* Move elements of arr[0..i-1], that are greater than key, to one position ahead of their current position */ while (j >= 0 && arr[j] > key) { arr[j + 1] = arr[j]; j = j - 1; } arr[j + 1] = key; } } /* A utility function to print array of size n*/ static void printArray(int arr[]) { int n = arr.length; for (int i = 0; i < n; ++i) System.out.print(arr[i] + " "); System.out.println(); } // Driver method…