Given an array of integers, return a new array such that each element at index i of the new array is the product of all the numbers in the original array except the one at i. For example, if our input was [1, 2, 3, 4, 51, the expected output would be [120, 60, 40, 30, 24]. If our input was [3, 2, 11, the expected output would be [2, 3, 6]. Follow-up: What if you can't use division?
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- You 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.You are given an array J[1 : n] which includes the scores of n players in a game. You are additionally given an array P[1 : m] with the score of m new players. Design and analyze an algorithm that given both arrays J and P, can find the rank of each player P inside the array J, i.e., for each P[i], determines what would be the rank of P[i] in the array consisting of all elements of J plus P[i]. Your algorithm should run in O((n + m) ·log n) time.Given an 8-element array: A = {x1, X2, X3, X4, X5, X6, 7, x8}, we would like to find its 3rd smallest element. It is known that x₁ and 8 are the two extreme elements: max and min, but we do not know which one is the max and which one is the min. It is also known that x4 and x5 are the two medians: left-median and right-median. What is the minimum number of comparisons you need to find the 3rd smallest element of the original array? Ans:
- 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.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: 30
- You have been given an array A of size N and an integer K. This array consists of N integers ranging from 1 to 10^7. Each element in this array is said to have a Special Weight. The special weight of an element a[i] is a[i]%K. You now need to sort this array in Non-Increasing order of the weight of each element, i.e the element with the highest weight should appear first, then the element with the second highest weight and so on. In case two elements have the same weight, the one with the lower value should appear in the output first. Input Format: The first line consists of two space separated integers N and K. The next line consists of N space separated integers denoting the elements of array A. Output Format: Print N space separated integers denoting the elements of the array in the order in which they are required. Constraints: 1≤N≤10^5 1≤A[i]≤10^7 1≤K≤10^7 Note: You need to print the value of each element and not their weight. SAMPLE INPUT 5 21 2 3 4 5 SAMPLE OUTPUT 1 3 5 2 4…Given two arrays a and b, where both arrays consisting of n positive integers. It is allowed to swap any element from array a with any element from b. Your task is to find the maximum possible sum you can obtain in the array a if you can do no more than (i.e. at most) k moves (swaps). Input • The first line of the test case contains two integers n and k (1Sns30;0sksn) - where n is the number of elements in a and b, while k is the maximum number of moves you can do. • The second line of the test case contains n integers a1,a2,... an • The third line of the test case contains n integers b1,b2,..,bn Output Print the answer – the maximum possible sum you can obtain in the array a if you can do no more than (i.e. at most) k swaps. Examples: Ex 1: Ex 2: Ex 3: Input 55 53 40 55665 1234 5 2243 12543 10 9 10 10 9 2423 Output: 27 39 11 • In the first test case of the example, you don't need to swap anything. • In the second test case of the example, you can swap a1=1 with bi=10, a3=3 with b3=10…Given two arrays a and b, where both arrays consisting of n positive integers. It is allowed to swap any element from array a with any element from b. Your task is to find the maximum possible sum you can obtain in the array a if you can do no more than (i.e. at most) k moves (swaps). Input • The first line of the test case contains two integers n and k (1sns30;0sksn) - where n is the number of elements in a and b, while k is the maximum number of moves you can do. • The second line of the test case contains n integers a1,a2,... an • The third line of the test case contains n integers b1,b2,..,bn Output Print the answer – the maximum possible sum you can obtain in the array a if you can do no more than (i.e. at most) k swaps. Examples: Ex 1: Ex 2: Ex 3: Input 55 53 40 55665 12345 2243 12543 10 9 10 10 9 2423 Output: 27 39 11 • In the first test case of the example, you don't need to swap anything. • In the second test case of the example, you can swap a1=1 with b1=10, a3=3 with b3=10…
- 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)Given two arrays A and B of equal size N, the task is to find if given arrays are equal or not. Two arrays are said to be equal if both of them contain same set of elements, arrangements (or permutation) of elements may be different though.Note : If there are repetitions, then counts of repeated elements must also be same for two array to be equal. Example 1: Input: N = 5 A[] = {1,2,5,4,0} B[] = {2,4,5,0,1} Output: 1.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…