You are given an unsorted array A[1, ..., n]. We know that the maximum (or minimum) element in the array can be found in (n-1) comparisons. Write an algorithm that finds both the maximum and the minimum element in the array in ~(3n/2) comparisons, i.e., (3n/2) + THETA(1) comparisons.
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You are given an unsorted array A[1, ..., n].
We know that the maximum (or minimum) element in the array can be found in (n-1) comparisons.
Write an
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- You're given an array of N integers, and a number K.The maximum K-product of the array is the maximum product of any K length subsequence of the array. For example, the maximum 2-product of the array [-5, 3, 4, -6] is 30 because the product of the subsequence [-5, -6] is 30 and it is impossible to achieve larger subsequence product.What is the maximum K-product you can achieve? Using JAVA programming output the max K-product.Input:14 25 -3 -4 6Output:30You're given an array of N integers, and a number K. The maximum K-product of the array is the maximum product of any K length subsequence of the array. For example, the maximum 2-product of the array [-5, 3, 4, -6] is 30 because the product of the subsequence [-5, -6] is 30 and it is impossible to achieve larger subsequence product. What is the maximum K-product you can achieve? Using JAVA programming output the max K- product. Input: 1 42 5 -3 -4 6 Output: 30You are given an integer array X[1, . . . , n]. You should move each element of X[1, . . . , n] into one of the two arrays A and B such that A and B are non-empty and average(A) = average(B). Return true if it is possible to achieve that and false otherwise. Note that for an array A, average(A) is the sum of all the elements of A over the length of A. Precisely define the subproblem.Provide the recurrence equation.Describe the algorithm in pseudocode to compute the optimal value.Describe the algorithm in pseudocode to print out an optimal solution.
- Given an array, find the total number of inversions of it. If (i < j) and (A[i] > A[j]), then pair (i, j) is called an inversion of an array A. We need to count all such pairs in the array. For example, Input: A[] = [1, 9, 6, 4, 5] Output: The inversion count is 5 There are 5 inversions in the array: (9, 6), (9, 4), (9, 5), (6, 4), (6, 5)... Array A contains positive numbers that can be smaller than 1, larger than 1, or equal to 1. Find the sub-array A[..], such that the product of numbers in A[i..j] (i.e., A[i] × A[i+1] x x A[j - 1] x A[j]) is maximized. Of course, you should describe the fastest algorithm that you can find. A product of two numbers can be computed in time 0(1). Describe your algorithm in words, provide a pseudocode and briefly explain why your algo- rithm is correct.Given an integer n and an array a of length n, your task is to apply the following mutation to a: Array a mutates into a new array b of length n. For each i from 0 to n - 1, b[i] = a[i - 1] + a[i] + a[i + 1]. If some element in the sum a[i - 1] + a[i] + a[i + 1] does not exist, it should be set to 0. For example, b[0] should be equal to 0 + a[0] + a[1].
- You are given an array of positive integers S[1, . . . , n]. You are initially positioned at the array’s first index 1, and each element S[i] represents your maximum length of jump at position i. For example, you can jump from position i to any position among i + 1, . . . , i + S[i]. Return true if you can reach the last index, or false otherwise. Precisely define the subproblem.Provide the recurrence equation.Describe the algorithm in pseudocode to compute the optimal value.Describe the algorithm in pseudocode to print out an optimal solution.Given an array containing integers with N elements, and the sum of consecutive elements in the array with an integer k find out how many of them can be divided into a given integer k without remaining. The array contains n grain elements (array = [ array[0], array[1], …, array[n-1]]). K is a positive integer The sum of consecutive elements for any (first, next) pair first < next ise array[first] + array[next] Enter the Java code that returns the result for the integer array (array) and integer (k) entered in this scope Define the section to be calculated as a Java object (“Question2”). take the note sequence as an entry. public Question2(int[] input) In the “countSumPairs” method to be calculated, take the value “k” as an input and how many pieces in total return that the sum of the pairs is divided by the value “k” without remaining. public int countSumPairs(int k) example; public class Question2 {public Question2(int[] input) {}// Complete the countSumPairs function…Given an array A[0 : n−1] of n integers, compute the maximum sum of non-empty consecutive subsequence present in the array.For example, if the input is A = [3, 2, 5, 1, 6], then the output max sum is 17 (the corresponding maximum sum consecutive subsequence is [3, 2, 5, 1, 6]. If the input is A = [−2, 11, −4, 13, −5, −2], then the output max sum is 20 (the corresponding maximum sum consecutive subsequence is [11, −4, 13].(a) Given input A[0 : n − 1] and n, design a divide-and-conquer algorithm which outputs the maximum sum of non-empty consecutive subsequence in the array. You only need to output the sum value and do not need to output the exact subsequence. [We are expecting a brief justification for the intuitive idea of the algorithm and the pseudocode of the algorithm.](b) Let T(n) be the runtime of your algorithm when the input size is n. Establish the recurrence relation of T(n) for your algorithm, and then solve the recurrence relation to provide the big-O runtime of your…
- Given an integer array nums and an integer val, remove all occurrences of val in nums in-place. The order of the elements may be changed. Then return the number of elements in nums which are not equal to val. Consider the number of elements in nums which are not equal to val be k, to get accepted, you need to do the following things: Change the array nums such that the first k elements of nums contain the elements which are not equal to val. The remaining elements of nums are not important as well as the size of nums. Return k. Example 1: Input: nums = [3,2,2,3], val = 3 Output: 2, nums = [2,2,_,_] Explanation: Your function should return k = 2, with the first two elements of nums being 2. It does not matter what you leave beyond the returned k (hence they are underscores). Example 2: Input: nums = [0,1,2,2,3,0,4,2], val = 2 Output: 5, nums = [0,1,4,0,3,_,_,_] Explanation: Your function should return k = 5, with the first five elements of nums containing 0, 0, 1, 3, and 4.…Given an array A[0 : n−1] of n integers, compute the maximum sum of non-empty consecutive subsequence present in the array. For example, if the input is A = [3, 2, 5, 1, 6], then the output max sum is 17 (the corresponding maximum sum consecutive subsequence is [3, 2, 5, 1, 6]. If the input is A = [−2, 11, −4, 13, −5, −2], then the output max sum is 20 (the corresponding maximum sum consecutive subsequence is [11, −4, 13]. (a) Given input A[0 : n − 1] and n, design a divide-and-conquer algorithm which outputs the maximum sum of non-empty consecutive subsequence in the array. You only need to output the sum value and do not need to output the exact subsequence. [We are expecting a brief justification for the intuitive idea of the algorithm and the pseudocode of the algorithm.] (b) Let T(n) be the runtime of your algorithm when the input size is n. Establish the recurrence relation of T(n) for the algorithm, and then solve the recurrence relation to provide the big-O runtime of the…Question A: Mapping. The two-sum problem is a popular algorithm problem. Given an array of integers and an integer target, return indices of the two numbers such that they add up to the target. You may assume that each input would have exactly one solution, and you may not use the same element twice. For example, suppose we have an array arr = [1,10,100]. If the target is 11, you should return [0,1] because arr[0] + arr[1] = 1+ 10 = 11. If the target is 101, you should return [0,2] because arr[0] + arr[2] = 1+ 100 = 101. Complete this problem in O(n). Hint: using a hash table.