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- The Sieve of Eratosthenes is an algorithm that finds all prime numbers up to a given limit, n. It works by creating an array of Booleans, flag, of size n+1, initializing the array to true (assuming every number is a prime number in the beginning), and iteratively traversing the numbers from 2 to n, setting the values of indices that are multiples of other numbers to false. Write a program using the algorithm above, and display all the prime numbers up to 50.In the "Common Array Algorithms" section, you learned how to find the position of an element in an array. Suppose you want to find the position of the second match. You could remove the first match and start over, but that would be wasteful. Instead, adapt the algorithm from that section so that it starts the search at a given position, not zero. Complete the following code.Given an array, find the next greater element for each element in the array, ifavailable. If not available, print the element itself. The next greater element y for anelement x in the array is the first element that is greater than x and occurs on its rightside. The next greater element of the right most element in an array is the elementitself.Example: Given A = [ 6 8 4 3 9] the next greater element listB = [8 9 9 9 9]
- // function to generate all subsequences of given arrayfunction generate_subseq(arr): // length of arr n = len(arr) // total subsequences for array of length n m = 2**n // to store all subsequences seqs = [] // running a loop for m times for i in range(1, m): // creating an array of zeros of length n a = [0]*n num = i // to use as an index for 'a' j = n-1 // run this loop till num > 0 while num > 0: if num is odd: a[j] = 1 // divide num by 2 num = num/2 // subtract 1 from 'j' j -= 1 // to store current subsequence seq = [] // iterating for n times for i in range(n): // add ith index value to 'seq' if a[i] == 1: seq.append(arr[i]) // add 'seq' to 'seqs' seqs.append(seq) // return seqs return seqs // given listsS1 = ['B','C','D','A','A','C','D']S2 = ['A','C','D','B','A','C']…given an array of integer values , return true if 6 appears as either the first or last element in the array. firstLast6([1,2,36]) true firstLast([6,1,2,3]) true firstLast([13,6,1,2,3]) falseGiven an ArrayList of integers, return an ArrayList where all the odds are before the evens in the order that they occur. public ArrayList<Integer> solution(ArrayList<Integer> nums) {ArrayList<Integer> finalList = new ArrayList<>();int index = 0;for (int i = 0; i < nums.size(); i++) {if (nums.get(i) % 2 == 1) {finalList.add(index, nums.get(i));index++;} elsefinalList.add(nums.get(i));}return finalList;} This is my failing code. for [1.-3.3] where [1,3,-3] is being returned
- You are given two arrays, one shorter (with all separate items) and one longer (with no unique elements). Find the shortest subarray in the larger array that contains all of the shorter array's items. The things can be shown in any order.EXAMPLEInput: {1, 5, 9}{7, 5, 9, 0, 2, 1, 3, 5. 7, 9. 1, 1, 5, 8, 8, 9, 7}Results: [7, 10] (the underlined portion above)If an array is given, identify the next bigger element for each element in the array, if one exists. If the element is not accessible, print the element itself. The next bigger element y in the array for an element x is the first element that is greater than x and appears on its right side. The element itself is the next bigger member of the array's rightmost element.For instance, if A = [6 8 4 3 9], the next bigger element list B = [8 9 9 9 9].A majority element is an element that makes up more than half of the items inan array. Given a positive integers array, find the majority element. If there is no majority element,return -1. Do this in O(N) time and 0(1) space.Input: 1 2 5 9 5 9 5 5 5Output: 5
- /*Code: Construct BST From Sorted ArraySend FeedbackGiven a sorted integer array A of size n, which contains all unique elements. You need to construct a balanced BST from this input array. Return the root of constructed BST.Note: If array size is even, take first mid as root.Input format:The first line of input contains an integer, which denotes the value of n. The following line contains n space separated integers, that denote the values of array.Output Format:The first and only line of output contains values of BST nodes, printed in pre order traversal.Constraints:Time Limit: 1 secondSample Input 1:71 2 3 4 5 6 7Sample Output 1:4 2 1 3 6 5 7 */public class SortedArrayToBst { /* Binary Tree Node class * * class BinaryTreeNode<T> { T data; BinaryTreeNode<T> left; BinaryTreeNode<T> right; public BinaryTreeNode(T data) { this.data = data; } } */…Given an array, find the next greater element for each element in the array, ifavailable. If not available, print the element itself. The next greater element y for anelement x in the array is the first element that is greater than x and occurs on its rightside. The next greater element of the right most element in an array is the elementitself.Example: Given A = [ 6 8 4 3 9] the next greater element listB = [8 9 9 9 9]. implement in python# the method take another circular array and returns a linear array containing the common elements between the two circular arrays. def intersection(self, c2): # To Do print("==========Test 10==========") lin_arr9 = [10, 20, 30, 40, 50, None, None, None] c10 = CircularArray(lin_arr9, 5, 5) c10.printFullLinear() # This should print: 40, 50, None, None, None, 10, 20, 30 lin_arr10 = [5, 40, 15, 25, 10, 20, 5, None, None, None, None, None] c11 = CircularArray(lin_arr10, 8, 7) c11.printFullLinear() # This should print: 10, 20, 5, None, None, None, None, None, 5, 40, 15, 25 output = c10.intersection(c11) print(output) # This should print: [10, 20, 40]