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?

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're given an array arr. Apply the following algorithm to it:   find intervals of consecutive prime numbers and consecutive non-prime numbers; replace each such interval with the sum of numbers in it; if the resulting array is different from the initial one, return to step 1, otherwise return the result. Input A non-empty integer array such that:   -10000 ≤ arr[i] ≤ 10000 1 ≤ arr.length ≤ 1000 Output An integer array.   Examples For arr = [1, 2, 3, 5, 6, 4, 2, 3] the result should be [21, 5]:   [1, 2, 3, 5, 6, 4, 2, 3] --> [(1), (2 + 3 + 5), (6 + 4), (2 + 3)] --> [1, 10, 10, 5] [1, 10, 10, 5] --> [(1 + 10 + 10), (5)] --> [21, 5] For arr = [-3, 4, 5, 2, 0, -10] the result should be [1, 7, -10]:   [-3, 4, 5, 2, 0, -10] --> [(-3 + 4), (5 + 2), (0 + -10)] --> [1, 7, -10] Solve it in C# please

Given an array arr[] of N non-negative integers representing the height of blocks. If width of each block is 1, compute how much water can be trapped between the blocks during the rainy season. Example 1: Input: N = 6 arr[] Output: 10 = {3,0,0,2,0,4}